#ifdef WIN32
diff --git a/extern/decNumber/.gitignore b/extern/decNumber/.gitignore
new file mode 100644
index 0000000000..ac8f109172
--- /dev/null
+++ b/extern/decNumber/.gitignore
@@ -0,0 +1,2 @@
+temp/
+lib/
diff --git a/extern/decNumber/ICU-license.html b/extern/decNumber/ICU-license.html
new file mode 100644
index 0000000000..00d356d452
--- /dev/null
+++ b/extern/decNumber/ICU-license.html
@@ -0,0 +1,45 @@
+
+
+
+
+ICU License - ICU 1.8.1 and later
+
+
+
+ICU License - ICU 1.8.1 and later
+
+COPYRIGHT AND PERMISSION NOTICE
+
+Copyright (c) 1995-2005 International Business Machines Corporation and others
+All rights reserved.
+
+Permission is hereby granted, free of charge, to any person obtaining a
+copy of this software and associated documentation files (the
+"Software"), to deal in the Software without restriction, including
+without limitation the rights to use, copy, modify, merge, publish,
+distribute, and/or sell copies of the Software, and to permit persons
+to whom the Software is furnished to do so, provided that the above
+copyright notice(s) and this permission notice appear in all copies of
+the Software and that both the above copyright notice(s) and this
+permission notice appear in supporting documentation.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT
+OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR
+HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL
+INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING
+FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT,
+NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
+WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+
+Except as contained in this notice, the name of a copyright holder
+shall not be used in advertising or otherwise to promote the sale, use
+or other dealings in this Software without prior written authorization
+of the copyright holder.
+
+--------------------------------------------------------------------------------
+All trademarks and registered trademarks mentioned herein are the property of their respective owners.
+
+
+
diff --git a/extern/decNumber/Makefile b/extern/decNumber/Makefile
new file mode 100644
index 0000000000..7aa18ad805
--- /dev/null
+++ b/extern/decNumber/Makefile
@@ -0,0 +1,11 @@
+LIBRARY=libdecFloat.a
+
+$(LIBRARY): $(wildcard *.c) $(wildcard *.h) Makefile
+ $(RM) -f *.o
+ $(CC) -c -O3 -fPIC $(subst decCommon.c,,$(subst decBasic.c,,$(wildcard *.c)))
+ $(AR) crs $(LIBRARY) *.o
+ $(RM) -f *.o
+
+.PHONY: clean
+clean:
+ $(RM) -f *.o $(LIBRARY)
diff --git a/extern/decNumber/decBasic.c b/extern/decNumber/decBasic.c
new file mode 100644
index 0000000000..56396f8da7
--- /dev/null
+++ b/extern/decNumber/decBasic.c
@@ -0,0 +1,3908 @@
+/* ------------------------------------------------------------------ */
+/* decBasic.c -- common base code for Basic decimal types */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises code that is shared between decDouble and */
+/* decQuad (but not decSingle). The main arithmetic operations are */
+/* here (Add, Subtract, Multiply, FMA, and Division operators). */
+/* */
+/* Unlike decNumber, parameterization takes place at compile time */
+/* rather than at runtime. The parameters are set in the decDouble.c */
+/* (etc.) files, which then include this one to produce the compiled */
+/* code. The functions here, therefore, are code shared between */
+/* multiple formats. */
+/* */
+/* This must be included after decCommon.c. */
+/* ------------------------------------------------------------------ */
+// Names here refer to decFloat rather than to decDouble, etc., and
+// the functions are in strict alphabetical order.
+
+// The compile-time flags SINGLE, DOUBLE, and QUAD are set up in
+// decCommon.c
+#if !defined(QUAD)
+ #error decBasic.c must be included after decCommon.c
+#endif
+#if SINGLE
+ #error Routines in decBasic.c are for decDouble and decQuad only
+#endif
+
+/* Private constants */
+#define DIVIDE 0x80000000 // Divide operations [as flags]
+#define REMAINDER 0x40000000 // ..
+#define DIVIDEINT 0x20000000 // ..
+#define REMNEAR 0x10000000 // ..
+
+/* Private functions (local, used only by routines in this module) */
+static decFloat *decDivide(decFloat *, const decFloat *,
+ const decFloat *, decContext *, uInt);
+static decFloat *decCanonical(decFloat *, const decFloat *);
+static void decFiniteMultiply(bcdnum *, uByte *, const decFloat *,
+ const decFloat *);
+static decFloat *decInfinity(decFloat *, const decFloat *);
+static decFloat *decInvalid(decFloat *, decContext *);
+static decFloat *decNaNs(decFloat *, const decFloat *, const decFloat *,
+ decContext *);
+static Int decNumCompare(const decFloat *, const decFloat *, Flag);
+static decFloat *decToIntegral(decFloat *, const decFloat *, decContext *,
+ enum rounding, Flag);
+static uInt decToInt32(const decFloat *, decContext *, enum rounding,
+ Flag, Flag);
+
+/* ------------------------------------------------------------------ */
+/* decCanonical -- copy a decFloat, making canonical */
+/* */
+/* result gets the canonicalized df */
+/* df is the decFloat to copy and make canonical */
+/* returns result */
+/* */
+/* This is exposed via decFloatCanonical for Double and Quad only. */
+/* This works on specials, too; no error or exception is possible. */
+/* ------------------------------------------------------------------ */
+static decFloat * decCanonical(decFloat *result, const decFloat *df) {
+ uInt encode, precode, dpd; // work
+ uInt inword, uoff, canon; // ..
+ Int n; // counter (down)
+ if (df!=result) *result=*df; // effect copy if needed
+ if (DFISSPECIAL(result)) {
+ if (DFISINF(result)) return decInfinity(result, df); // clean Infinity
+ // is a NaN
+ DFWORD(result, 0)&=~ECONNANMASK; // clear ECON except selector
+ if (DFISCCZERO(df)) return result; // coefficient continuation is 0
+ // drop through to check payload
+ }
+ // return quickly if the coefficient continuation is canonical
+ { // declare block
+ #if DOUBLE
+ uInt sourhi=DFWORD(df, 0);
+ uInt sourlo=DFWORD(df, 1);
+ if (CANONDPDOFF(sourhi, 8)
+ && CANONDPDTWO(sourhi, sourlo, 30)
+ && CANONDPDOFF(sourlo, 20)
+ && CANONDPDOFF(sourlo, 10)
+ && CANONDPDOFF(sourlo, 0)) return result;
+ #elif QUAD
+ uInt sourhi=DFWORD(df, 0);
+ uInt sourmh=DFWORD(df, 1);
+ uInt sourml=DFWORD(df, 2);
+ uInt sourlo=DFWORD(df, 3);
+ if (CANONDPDOFF(sourhi, 4)
+ && CANONDPDTWO(sourhi, sourmh, 26)
+ && CANONDPDOFF(sourmh, 16)
+ && CANONDPDOFF(sourmh, 6)
+ && CANONDPDTWO(sourmh, sourml, 28)
+ && CANONDPDOFF(sourml, 18)
+ && CANONDPDOFF(sourml, 8)
+ && CANONDPDTWO(sourml, sourlo, 30)
+ && CANONDPDOFF(sourlo, 20)
+ && CANONDPDOFF(sourlo, 10)
+ && CANONDPDOFF(sourlo, 0)) return result;
+ #endif
+ } // block
+
+ // Loop to repair a non-canonical coefficent, as needed
+ inword=DECWORDS-1; // current input word
+ uoff=0; // bit offset of declet
+ encode=DFWORD(result, inword);
+ for (n=DECLETS-1; n>=0; n--) { // count down declets of 10 bits
+ dpd=encode>>uoff;
+ uoff+=10;
+ if (uoff>32) { // crossed uInt boundary
+ inword--;
+ encode=DFWORD(result, inword);
+ uoff-=32;
+ dpd|=encode<<(10-uoff); // get pending bits
+ }
+ dpd&=0x3ff; // clear uninteresting bits
+ if (dpd<0x16e) continue; // must be canonical
+ canon=BIN2DPD[DPD2BIN[dpd]]; // determine canonical declet
+ if (canon==dpd) continue; // have canonical declet
+ // need to replace declet
+ if (uoff>=10) { // all within current word
+ encode&=~(0x3ff<<(uoff-10)); // clear the 10 bits ready for replace
+ encode|=canon<<(uoff-10); // insert the canonical form
+ DFWORD(result, inword)=encode; // .. and save
+ continue;
+ }
+ // straddled words
+ precode=DFWORD(result, inword+1); // get previous
+ precode&=0xffffffff>>(10-uoff); // clear top bits
+ DFWORD(result, inword+1)=precode|(canon<<(32-(10-uoff)));
+ encode&=0xffffffff<>(10-uoff); // insert canonical
+ DFWORD(result, inword)=encode; // .. and save
+ } // n
+ return result;
+ } // decCanonical
+
+/* ------------------------------------------------------------------ */
+/* decDivide -- divide operations */
+/* */
+/* result gets the result of dividing dfl by dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* op is the operation selector */
+/* returns result */
+/* */
+/* op is one of DIVIDE, REMAINDER, DIVIDEINT, or REMNEAR. */
+/* ------------------------------------------------------------------ */
+#define DIVCOUNT 0 // 1 to instrument subtractions counter
+#define DIVBASE ((uInt)BILLION) // the base used for divide
+#define DIVOPLEN DECPMAX9 // operand length ('digits' base 10**9)
+#define DIVACCLEN (DIVOPLEN*3) // accumulator length (ditto)
+static decFloat * decDivide(decFloat *result, const decFloat *dfl,
+ const decFloat *dfr, decContext *set, uInt op) {
+ decFloat quotient; // for remainders
+ bcdnum num; // for final conversion
+ uInt acc[DIVACCLEN]; // coefficent in base-billion ..
+ uInt div[DIVOPLEN]; // divisor in base-billion ..
+ uInt quo[DIVOPLEN+1]; // quotient in base-billion ..
+ uByte bcdacc[(DIVOPLEN+1)*9+2]; // for quotient in BCD, +1, +1
+ uInt *msua, *msud, *msuq; // -> msu of acc, div, and quo
+ Int divunits, accunits; // lengths
+ Int quodigits; // digits in quotient
+ uInt *lsua, *lsuq; // -> current acc and quo lsus
+ Int length, multiplier; // work
+ uInt carry, sign; // ..
+ uInt *ua, *ud, *uq; // ..
+ uByte *ub; // ..
+ uInt uiwork; // for macros
+ uInt divtop; // top unit of div adjusted for estimating
+ #if DIVCOUNT
+ static uInt maxcount=0; // worst-seen subtractions count
+ uInt divcount=0; // subtractions count [this divide]
+ #endif
+
+ // calculate sign
+ num.sign=(DFWORD(dfl, 0)^DFWORD(dfr, 0)) & DECFLOAT_Sign;
+
+ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr)) { // either is special?
+ // NaNs are handled as usual
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ // one or two infinities
+ if (DFISINF(dfl)) {
+ if (DFISINF(dfr)) return decInvalid(result, set); // Two infinities bad
+ if (op&(REMAINDER|REMNEAR)) return decInvalid(result, set); // as is rem
+ // Infinity/x is infinite and quiet, even if x=0
+ DFWORD(result, 0)=num.sign;
+ return decInfinity(result, result);
+ }
+ // must be x/Infinity -- remainders are lhs
+ if (op&(REMAINDER|REMNEAR)) return decCanonical(result, dfl);
+ // divides: return zero with correct sign and exponent depending
+ // on op (Etiny for divide, 0 for divideInt)
+ decFloatZero(result);
+ if (op==DIVIDEINT) DFWORD(result, 0)|=num.sign; // add sign
+ else DFWORD(result, 0)=num.sign; // zeros the exponent, too
+ return result;
+ }
+ // next, handle zero operands (x/0 and 0/x)
+ if (DFISZERO(dfr)) { // x/0
+ if (DFISZERO(dfl)) { // 0/0 is undefined
+ decFloatZero(result);
+ DFWORD(result, 0)=DECFLOAT_qNaN;
+ set->status|=DEC_Division_undefined;
+ return result;
+ }
+ if (op&(REMAINDER|REMNEAR)) return decInvalid(result, set); // bad rem
+ set->status|=DEC_Division_by_zero;
+ DFWORD(result, 0)=num.sign;
+ return decInfinity(result, result); // x/0 -> signed Infinity
+ }
+ num.exponent=GETEXPUN(dfl)-GETEXPUN(dfr); // ideal exponent
+ if (DFISZERO(dfl)) { // 0/x (x!=0)
+ // if divide, result is 0 with ideal exponent; divideInt has
+ // exponent=0, remainders give zero with lower exponent
+ if (op&DIVIDEINT) {
+ decFloatZero(result);
+ DFWORD(result, 0)|=num.sign; // add sign
+ return result;
+ }
+ if (!(op&DIVIDE)) { // a remainder
+ // exponent is the minimum of the operands
+ num.exponent=MINI(GETEXPUN(dfl), GETEXPUN(dfr));
+ // if the result is zero the sign shall be sign of dfl
+ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign;
+ }
+ bcdacc[0]=0;
+ num.msd=bcdacc; // -> 0
+ num.lsd=bcdacc; // ..
+ return decFinalize(result, &num, set); // [divide may clamp exponent]
+ } // 0/x
+ // [here, both operands are known to be finite and non-zero]
+
+ // extract the operand coefficents into 'units' which are
+ // base-billion; the lhs is high-aligned in acc and the msu of both
+ // acc and div is at the right-hand end of array (offset length-1);
+ // the quotient can need one more unit than the operands as digits
+ // in it are not necessarily aligned neatly; further, the quotient
+ // may not start accumulating until after the end of the initial
+ // operand in acc if that is small (e.g., 1) so the accumulator
+ // must have at least that number of units extra (at the ls end)
+ GETCOEFFBILL(dfl, acc+DIVACCLEN-DIVOPLEN);
+ GETCOEFFBILL(dfr, div);
+ // zero the low uInts of acc
+ acc[0]=0;
+ acc[1]=0;
+ acc[2]=0;
+ acc[3]=0;
+ #if DOUBLE
+ #if DIVOPLEN!=2
+ #error Unexpected Double DIVOPLEN
+ #endif
+ #elif QUAD
+ acc[4]=0;
+ acc[5]=0;
+ acc[6]=0;
+ acc[7]=0;
+ #if DIVOPLEN!=4
+ #error Unexpected Quad DIVOPLEN
+ #endif
+ #endif
+
+ // set msu and lsu pointers
+ msua=acc+DIVACCLEN-1; // [leading zeros removed below]
+ msuq=quo+DIVOPLEN;
+ //[loop for div will terminate because operands are non-zero]
+ for (msud=div+DIVOPLEN-1; *msud==0;) msud--;
+ // the initial least-significant unit of acc is set so acc appears
+ // to have the same length as div.
+ // This moves one position towards the least possible for each
+ // iteration
+ divunits=(Int)(msud-div+1); // precalculate
+ lsua=msua-divunits+1; // initial working lsu of acc
+ lsuq=msuq; // and of quo
+
+ // set up the estimator for the multiplier; this is the msu of div,
+ // plus two bits from the unit below (if any) rounded up by one if
+ // there are any non-zero bits or units below that [the extra two
+ // bits makes for a much better estimate when the top unit is small]
+ divtop=*msud<<2;
+ if (divunits>1) {
+ uInt *um=msud-1;
+ uInt d=*um;
+ if (d>=750000000) {divtop+=3; d-=750000000;}
+ else if (d>=500000000) {divtop+=2; d-=500000000;}
+ else if (d>=250000000) {divtop++; d-=250000000;}
+ if (d) divtop++;
+ else for (um--; um>=div; um--) if (*um) {
+ divtop++;
+ break;
+ }
+ } // >1 unit
+
+ #if DECTRACE
+ {Int i;
+ printf("----- div=");
+ for (i=divunits-1; i>=0; i--) printf("%09ld ", (LI)div[i]);
+ printf("\n");}
+ #endif
+
+ // now collect up to DECPMAX+1 digits in the quotient (this may
+ // need OPLEN+1 uInts if unaligned)
+ quodigits=0; // no digits yet
+ for (;; lsua--) { // outer loop -- each input position
+ #if DECCHECK
+ if (lsua=lsua;) msua--;
+ accunits=(Int)(msua-lsua+1); // [maybe 0]
+ // subtraction is only necessary and possible if there are as
+ // least as many units remaining in acc for this iteration as
+ // there are in div
+ if (accunitsdiv: subtraction necessary at this position
+ for (ud=msud, ua=msua; ud>div; ud--, ua--) if (*ud!=*ua) break;
+ // [now at first mismatch or lsu]
+ if (*ud>*ua) break; // next time...
+ if (*ud==*ua) { // all compared equal
+ *lsuq+=1; // increment result
+ msua=lsua; // collapse acc units
+ *msua=0; // .. to a zero
+ break;
+ }
+
+ // subtraction necessary; estimate multiplier [see above]
+ // if both *msud and *msua are small it is cost-effective to
+ // bring in part of the following units (if any) to get a
+ // better estimate (assume some other non-zero in div)
+ #define DIVLO 1000000U
+ #define DIVHI (DIVBASE/DIVLO)
+ #if DECUSE64
+ if (divunits>1) {
+ // there cannot be a *(msud-2) for DECDOUBLE so next is
+ // an exact calculation unless DECQUAD (which needs to
+ // assume bits out there if divunits>2)
+ uLong mul=(uLong)*msua * DIVBASE + *(msua-1);
+ uLong div=(uLong)*msud * DIVBASE + *(msud-1);
+ #if QUAD
+ if (divunits>2) div++;
+ #endif
+ mul/=div;
+ multiplier=(Int)mul;
+ }
+ else multiplier=*msua/(*msud);
+ #else
+ if (divunits>1 && *msuadivunits
+ // msud is one unit 'lower' than msua, so estimate differently
+ #if DECUSE64
+ uLong mul;
+ // as before, bring in extra digits if possible
+ if (divunits>1 && *msua>DIVSHIFTA);
+ carry=(uInt)(((uLong)hop*DIVMAGIC)>>DIVSHIFTB);
+ // the estimate is now in hi; now calculate sub-hi*10**9
+ // to get the remainder (which will be =DIVBASE) {
+ lo-=DIVBASE; // correct by +1
+ carry++;
+ }
+ }
+ #else // 32-bit
+ uInt hi;
+ // calculate multiplier*(*ud) into hi and lo
+ LONGMUL32HI(hi, *ud, multiplier); // get the high word
+ lo=multiplier*(*ud); // .. and the low
+ lo+=carry; // add the old hi
+ carry=hi+(lo=DIVBASE) { // split is needed
+ hop=(carry<<3)+(lo>>DIVSHIFTA); // hi:lo/2**29
+ LONGMUL32HI(carry, hop, DIVMAGIC); // only need the high word
+ // [DIVSHIFTB is 32, so carry can be used directly]
+ // the estimate is now in carry; now calculate hi:lo-est*10**9;
+ // happily the top word of the result is irrelevant because it
+ // will always be zero so this needs only one multiplication
+ lo-=(carry*DIVBASE);
+ // the correction here will be at most +1; do it
+ if (lo>=DIVBASE) {
+ lo-=DIVBASE;
+ carry++;
+ }
+ }
+ #endif
+ if (lo>*ua) { // borrow needed
+ *ua+=DIVBASE;
+ carry++;
+ }
+ *ua-=lo;
+ } // ud loop
+ if (carry) *ua-=carry; // accdigits>divdigits [cannot borrow]
+ } // inner loop
+
+ // the outer loop terminates when there is either an exact result
+ // or enough digits; first update the quotient digit count and
+ // pointer (if any significant digits)
+ #if DECTRACE
+ if (*lsuq || quodigits) printf("*lsuq=%09ld\n", (LI)*lsuq);
+ #endif
+ if (quodigits) {
+ quodigits+=9; // had leading unit earlier
+ lsuq--;
+ if (quodigits>DECPMAX+1) break; // have enough
+ }
+ else if (*lsuq) { // first quotient digits
+ const uInt *pow;
+ for (pow=DECPOWERS; *lsuq>=*pow; pow++) quodigits++;
+ lsuq--;
+ // [cannot have >DECPMAX+1 on first unit]
+ }
+
+ if (*msua!=0) continue; // not an exact result
+ // acc is zero iff used all of original units and zero down to lsua
+ // (must also continue to original lsu for correct quotient length)
+ if (lsua>acc+DIVACCLEN-DIVOPLEN) continue;
+ for (; msua>lsua && *msua==0;) msua--;
+ if (*msua==0 && msua==lsua) break;
+ } // outer loop
+
+ // all of the original operand in acc has been covered at this point
+ // quotient now has at least DECPMAX+2 digits
+ // *msua is now non-0 if inexact and sticky bits
+ // lsuq is one below the last uint of the quotient
+ lsuq++; // set -> true lsu of quo
+ if (*msua) *lsuq|=1; // apply sticky bit
+
+ // quo now holds the (unrounded) quotient in base-billion; one
+ // base-billion 'digit' per uInt.
+ #if DECTRACE
+ printf("DivQuo:");
+ for (uq=msuq; uq>=lsuq; uq--) printf(" %09ld", (LI)*uq);
+ printf("\n");
+ #endif
+
+ // Now convert to BCD for rounding and cleanup, starting from the
+ // most significant end [offset by one into bcdacc to leave room
+ // for a possible carry digit if rounding for REMNEAR is needed]
+ for (uq=msuq, ub=bcdacc+1; uq>=lsuq; uq--, ub+=9) {
+ uInt top, mid, rem; // work
+ if (*uq==0) { // no split needed
+ UBFROMUI(ub, 0); // clear 9 BCD8s
+ UBFROMUI(ub+4, 0); // ..
+ *(ub+8)=0; // ..
+ continue;
+ }
+ // *uq is non-zero -- split the base-billion digit into
+ // hi, mid, and low three-digits
+ #define divsplit9 1000000 // divisor
+ #define divsplit6 1000 // divisor
+ // The splitting is done by simple divides and remainders,
+ // assuming the compiler will optimize these [GCC does]
+ top=*uq/divsplit9;
+ rem=*uq%divsplit9;
+ mid=rem/divsplit6;
+ rem=rem%divsplit6;
+ // lay out the nine BCD digits (plus one unwanted byte)
+ UBFROMUI(ub, UBTOUI(&BIN2BCD8[top*4]));
+ UBFROMUI(ub+3, UBTOUI(&BIN2BCD8[mid*4]));
+ UBFROMUI(ub+6, UBTOUI(&BIN2BCD8[rem*4]));
+ } // BCD conversion loop
+ ub--; // -> lsu
+
+ // complete the bcdnum; quodigits is correct, so the position of
+ // the first non-zero is known
+ num.msd=bcdacc+1+(msuq-lsuq+1)*9-quodigits;
+ num.lsd=ub;
+
+ // make exponent adjustments, etc
+ if (lsuamaxcount) { // new high-water nark
+ maxcount=divcount;
+ printf("DivNewMaxCount: %ld\n", (LI)maxcount);
+ }
+ #endif
+
+ if (op&DIVIDE) return decFinalize(result, &num, set); // all done
+
+ // Is DIVIDEINT or a remainder; there is more to do -- first form
+ // the integer (this is done 'after the fact', unlike as in
+ // decNumber, so as not to tax DIVIDE)
+
+ // The first non-zero digit will be in the first 9 digits, known
+ // from quodigits and num.msd, so there is always space for DECPMAX
+ // digits
+
+ length=(Int)(num.lsd-num.msd+1);
+ //printf("Length exp: %ld %ld\n", (LI)length, (LI)num.exponent);
+
+ if (length+num.exponent>DECPMAX) { // cannot fit
+ decFloatZero(result);
+ DFWORD(result, 0)=DECFLOAT_qNaN;
+ set->status|=DEC_Division_impossible;
+ return result;
+ }
+
+ if (num.exponent>=0) { // already an int, or need pad zeros
+ for (ub=num.lsd+1; ub<=num.lsd+num.exponent; ub++) *ub=0;
+ num.lsd+=num.exponent;
+ }
+ else { // too long: round or truncate needed
+ Int drop=-num.exponent;
+ if (!(op&REMNEAR)) { // simple truncate
+ num.lsd-=drop;
+ if (num.lsd re-round digit
+ uByte reround; // reround value
+ *(num.msd-1)=0; // in case of left carry, or make 0
+ if (drop 0]
+ reround=*roundat;
+ for (ub=roundat+1; ub<=num.lsd; ub++) {
+ if (*ub!=0) {
+ reround=DECSTICKYTAB[reround];
+ break;
+ }
+ } // check stickies
+ if (roundat>num.msd) num.lsd=roundat-1;
+ else {
+ num.msd--; // use the 0 ..
+ num.lsd=num.msd; // .. at the new MSD place
+ }
+ if (reround!=0) { // discarding non-zero
+ uInt bump=0;
+ // rounding is DEC_ROUND_HALF_EVEN always
+ if (reround>5) bump=1; // >0.5 goes up
+ else if (reround==5) // exactly 0.5000 ..
+ bump=*(num.lsd) & 0x01; // .. up iff [new] lsd is odd
+ if (bump!=0) { // need increment
+ // increment the coefficient; this might end up with 1000...
+ ub=num.lsd;
+ for (; UBTOUI(ub-3)==0x09090909; ub-=4) UBFROMUI(ub-3, 0);
+ for (; *ub==9; ub--) *ub=0; // at most 3 more
+ *ub+=1;
+ if (ub9
+ #error Exponent may overflow when doubled for Multiply
+#endif
+#if MULACCLEN!=(MULACCLEN/4)*4
+ // This assumption is used below only for initialization
+ #error MULACCLEN is not a multiple of 4
+#endif
+
+static void decFiniteMultiply(bcdnum *num, uByte *bcdacc,
+ const decFloat *dfl, const decFloat *dfr) {
+ uInt bufl[MULOPLEN]; // left coefficient (base-billion)
+ uInt bufr[MULOPLEN]; // right coefficient (base-billion)
+ uInt *ui, *uj; // work
+ uByte *ub; // ..
+ uInt uiwork; // for macros
+
+ #if DECUSE64
+ uLong accl[MULACCLEN]; // lazy accumulator (base-billion+)
+ uLong *pl; // work -> lazy accumulator
+ uInt acc[MULACCLEN]; // coefficent in base-billion ..
+ #else
+ uInt acc[MULACCLEN*2]; // accumulator in base-billion ..
+ #endif
+ uInt *pa; // work -> accumulator
+ //printf("Base10**9: OpLen=%d MulAcclen=%d\n", OPLEN, MULACCLEN);
+
+ /* Calculate sign and exponent */
+ num->sign=(DFWORD(dfl, 0)^DFWORD(dfr, 0)) & DECFLOAT_Sign;
+ num->exponent=GETEXPUN(dfl)+GETEXPUN(dfr); // [see assertion above]
+
+ /* Extract the coefficients and prepare the accumulator */
+ // the coefficients of the operands are decoded into base-billion
+ // numbers in uInt arrays (bufl and bufr, LSD at offset 0) of the
+ // appropriate size.
+ GETCOEFFBILL(dfl, bufl);
+ GETCOEFFBILL(dfr, bufr);
+ #if DECTRACE && 0
+ printf("CoeffbL:");
+ for (ui=bufl+MULOPLEN-1; ui>=bufl; ui--) printf(" %08lx", (LI)*ui);
+ printf("\n");
+ printf("CoeffbR:");
+ for (uj=bufr+MULOPLEN-1; uj>=bufr; uj--) printf(" %08lx", (LI)*uj);
+ printf("\n");
+ #endif
+
+ // start the 64-bit/32-bit differing paths...
+#if DECUSE64
+
+ // zero the accumulator
+ #if MULACCLEN==4
+ accl[0]=0; accl[1]=0; accl[2]=0; accl[3]=0;
+ #else // use a loop
+ // MULACCLEN is a multiple of four, asserted above
+ for (pl=accl; pl1 may be
+ // needed. Values of A and B are chosen to satisfy the constraints
+ // just mentioned while minimizing the maximum error (and hence the
+ // maximum correction), as shown in the following table:
+ //
+ // Type OPLEN A B maxX maxError maxCorrection
+ // ---------------------------------------------------------
+ // DOUBLE 2 29 32 <2*10**18 0.63 1
+ // QUAD 4 30 31 <4*10**18 1.17 2
+ //
+ // In the OPLEN==2 case there is most choice, but the value for B
+ // of 32 has a big advantage as then the calculation of the
+ // estimate requires no shifting; the compiler can extract the high
+ // word directly after multiplying magic*hop.
+ #define MULMAGIC 2305843009U // 2**61/10**9 [both cases]
+ #if DOUBLE
+ #define MULSHIFTA 29
+ #define MULSHIFTB 32
+ #elif QUAD
+ #define MULSHIFTA 30
+ #define MULSHIFTB 31
+ #else
+ #error Unexpected type
+ #endif
+
+ #if DECTRACE
+ printf("MulAccl:");
+ for (pl=accl+MULACCLEN-1; pl>=accl; pl--)
+ printf(" %08lx:%08lx", (LI)(*pl>>32), (LI)(*pl&0xffffffff));
+ printf("\n");
+ #endif
+
+ for (pl=accl, pa=acc; pl=MULTBASE) {
+ // *pl holds a binary number which needs to be split
+ hop=(uInt)(*pl>>MULSHIFTA);
+ est=(uInt)(((uLong)hop*MULMAGIC)>>MULSHIFTB);
+ // the estimate is now in est; now calculate hi:lo-est*10**9;
+ // happily the top word of the result is irrelevant because it
+ // will always be zero so this needs only one multiplication
+ lo=(uInt)(*pl-((uLong)est*MULTBASE)); // low word of result
+ // If QUAD, the correction here could be +2
+ if (lo>=MULTBASE) {
+ lo-=MULTBASE; // correct by +1
+ est++;
+ #if QUAD
+ // may need to correct by +2
+ if (lo>=MULTBASE) {
+ lo-=MULTBASE;
+ est++;
+ }
+ #endif
+ }
+ // finally place lo as the new coefficient 'digit' and add est to
+ // the next place up [this is safe because this path is never
+ // taken on the final iteration as *pl will fit]
+ *pa=lo;
+ *(pl+1)+=est;
+ } // *pl needed split
+ else { // *pl1 may be
+ // needed. Values of A and B are chosen to satisfy the constraints
+ // just mentioned while minimizing the maximum error (and hence the
+ // maximum correction), as shown in the following table:
+ //
+ // Type OPLEN A B maxX maxError maxCorrection
+ // ---------------------------------------------------------
+ // DOUBLE 2 29 32 <2*10**18 0.63 1
+ // QUAD 4 30 31 <4*10**18 1.17 2
+ //
+ // In the OPLEN==2 case there is most choice, but the value for B
+ // of 32 has a big advantage as then the calculation of the
+ // estimate requires no shifting; the high word is simply
+ // calculated from multiplying magic*hop.
+ #define MULMAGIC 2305843009U // 2**61/10**9 [both cases]
+ #if DOUBLE
+ #define MULSHIFTA 29
+ #define MULSHIFTB 32
+ #elif QUAD
+ #define MULSHIFTA 30
+ #define MULSHIFTB 31
+ #else
+ #error Unexpected type
+ #endif
+
+ #if DECTRACE
+ printf("MulHiLo:");
+ for (pa=acc+MULACCLEN-1; pa>=acc; pa--)
+ printf(" %08lx:%08lx", (LI)*(pa+MULACCLEN), (LI)*pa);
+ printf("\n");
+ #endif
+
+ for (pa=acc;; pa++) { // each low uInt
+ uInt hi, lo; // words of exact multiply result
+ uInt hop, estlo; // work
+ #if QUAD
+ uInt esthi; // ..
+ #endif
+
+ lo=*pa;
+ hi=*(pa+MULACCLEN); // top 32 bits
+ // hi and lo now hold a binary number which needs to be split
+
+ #if DOUBLE
+ hop=(hi<<3)+(lo>>MULSHIFTA); // hi:lo/2**29
+ LONGMUL32HI(estlo, hop, MULMAGIC);// only need the high word
+ // [MULSHIFTB is 32, so estlo can be used directly]
+ // the estimate is now in estlo; now calculate hi:lo-est*10**9;
+ // happily the top word of the result is irrelevant because it
+ // will always be zero so this needs only one multiplication
+ lo-=(estlo*MULTBASE);
+ // esthi=0; // high word is ignored below
+ // the correction here will be at most +1; do it
+ if (lo>=MULTBASE) {
+ lo-=MULTBASE;
+ estlo++;
+ }
+ #elif QUAD
+ hop=(hi<<2)+(lo>>MULSHIFTA); // hi:lo/2**30
+ LONGMUL32HI(esthi, hop, MULMAGIC);// shift will be 31 ..
+ estlo=hop*MULMAGIC; // .. so low word needed
+ estlo=(esthi<<1)+(estlo>>MULSHIFTB); // [just the top bit]
+ // esthi=0; // high word is ignored below
+ lo-=(estlo*MULTBASE); // as above
+ // the correction here could be +1 or +2
+ if (lo>=MULTBASE) {
+ lo-=MULTBASE;
+ estlo++;
+ }
+ if (lo>=MULTBASE) {
+ lo-=MULTBASE;
+ estlo++;
+ }
+ #else
+ #error Unexpected type
+ #endif
+
+ // finally place lo as the new accumulator digit and add est to
+ // the next place up; this latter add could cause a carry of 1
+ // to the high word of the next place
+ *pa=lo;
+ *(pa+1)+=estlo;
+ // esthi is always 0 for DOUBLE and QUAD so this is skipped
+ // *(pa+1+MULACCLEN)+=esthi;
+ if (*(pa+1)=acc; pa--) printf(" %09ld", (LI)*pa);
+ printf("\n");
+ #endif
+
+ // Now convert to BCD for rounding and cleanup, starting from the
+ // most significant end
+ pa=acc+MULACCLEN-1;
+ if (*pa!=0) num->msd=bcdacc+LEADZEROS;// drop known lead zeros
+ else { // >=1 word of leading zeros
+ num->msd=bcdacc; // known leading zeros are gone
+ pa--; // skip first word ..
+ for (; *pa==0; pa--) if (pa==acc) break; // .. and any more leading 0s
+ }
+ for (ub=bcdacc;; pa--, ub+=9) {
+ if (*pa!=0) { // split(s) needed
+ uInt top, mid, rem; // work
+ // *pa is non-zero -- split the base-billion acc digit into
+ // hi, mid, and low three-digits
+ #define mulsplit9 1000000 // divisor
+ #define mulsplit6 1000 // divisor
+ // The splitting is done by simple divides and remainders,
+ // assuming the compiler will optimize these where useful
+ // [GCC does]
+ top=*pa/mulsplit9;
+ rem=*pa%mulsplit9;
+ mid=rem/mulsplit6;
+ rem=rem%mulsplit6;
+ // lay out the nine BCD digits (plus one unwanted byte)
+ UBFROMUI(ub, UBTOUI(&BIN2BCD8[top*4]));
+ UBFROMUI(ub+3, UBTOUI(&BIN2BCD8[mid*4]));
+ UBFROMUI(ub+6, UBTOUI(&BIN2BCD8[rem*4]));
+ }
+ else { // *pa==0
+ UBFROMUI(ub, 0); // clear 9 BCD8s
+ UBFROMUI(ub+4, 0); // ..
+ *(ub+8)=0; // ..
+ }
+ if (pa==acc) break;
+ } // BCD conversion loop
+
+ num->lsd=ub+8; // complete the bcdnum ..
+
+ #if DECTRACE
+ decShowNum(num, "postmult");
+ decFloatShow(dfl, "dfl");
+ decFloatShow(dfr, "dfr");
+ #endif
+ return;
+ } // decFiniteMultiply
+
+/* ------------------------------------------------------------------ */
+/* decFloatAbs -- absolute value, heeding NaNs, etc. */
+/* */
+/* result gets the canonicalized df with sign 0 */
+/* df is the decFloat to abs */
+/* set is the context */
+/* returns result */
+/* */
+/* This has the same effect as decFloatPlus unless df is negative, */
+/* in which case it has the same effect as decFloatMinus. The */
+/* effect is also the same as decFloatCopyAbs except that NaNs are */
+/* handled normally (the sign of a NaN is not affected, and an sNaN */
+/* will signal) and the result will be canonical. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatAbs(decFloat *result, const decFloat *df,
+ decContext *set) {
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set);
+ decCanonical(result, df); // copy and check
+ DFBYTE(result, 0)&=~0x80; // zero sign bit
+ return result;
+ } // decFloatAbs
+
+/* ------------------------------------------------------------------ */
+/* decFloatAdd -- add two decFloats */
+/* */
+/* result gets the result of adding dfl and dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+#if QUAD
+// Table for testing MSDs for fastpath elimination; returns the MSD of
+// a decDouble or decQuad (top 6 bits tested) ignoring the sign.
+// Infinities return -32 and NaNs return -128 so that summing the two
+// MSDs also allows rapid tests for the Specials (see code below).
+const Int DECTESTMSD[64]={
+ 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7,
+ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 9, 8, 9, -32, -128,
+ 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7,
+ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 9, 8, 9, -32, -128};
+#else
+// The table for testing MSDs is shared between the modules
+extern const Int DECTESTMSD[64];
+#endif
+
+decFloat * decFloatAdd(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ bcdnum num; // for final conversion
+ Int bexpl, bexpr; // left and right biased exponents
+ uByte *ub, *us, *ut; // work
+ uInt uiwork; // for macros
+ #if QUAD
+ uShort uswork; // ..
+ #endif
+
+ uInt sourhil, sourhir; // top words from source decFloats
+ // [valid only through end of
+ // fastpath code -- before swap]
+ uInt diffsign; // non-zero if signs differ
+ uInt carry; // carry: 0 or 1 before add loop
+ Int overlap; // coefficient overlap (if full)
+ Int summ; // sum of the MSDs
+ // the following buffers hold coefficients with various alignments
+ // (see commentary and diagrams below)
+ uByte acc[4+2+DECPMAX*3+8];
+ uByte buf[4+2+DECPMAX*2];
+ uByte *umsd, *ulsd; // local MSD and LSD pointers
+
+ #if DECLITEND
+ #define CARRYPAT 0x01000000 // carry=1 pattern
+ #else
+ #define CARRYPAT 0x00000001 // carry=1 pattern
+ #endif
+
+ /* Start decoding the arguments */
+ // The initial exponents are placed into the opposite Ints to
+ // that which might be expected; there are two sets of data to
+ // keep track of (each decFloat and the corresponding exponent),
+ // and this scheme means that at the swap point (after comparing
+ // exponents) only one pair of words needs to be swapped
+ // whichever path is taken (thereby minimising worst-case path).
+ // The calculated exponents will be nonsense when the arguments are
+ // Special, but are not used in that path
+ sourhil=DFWORD(dfl, 0); // LHS top word
+ summ=DECTESTMSD[sourhil>>26]; // get first MSD for testing
+ bexpr=DECCOMBEXP[sourhil>>26]; // get exponent high bits (in place)
+ bexpr+=GETECON(dfl); // .. + continuation
+
+ sourhir=DFWORD(dfr, 0); // RHS top word
+ summ+=DECTESTMSD[sourhir>>26]; // sum MSDs for testing
+ bexpl=DECCOMBEXP[sourhir>>26];
+ bexpl+=GETECON(dfr);
+
+ // here bexpr has biased exponent from lhs, and vice versa
+
+ diffsign=(sourhil^sourhir)&DECFLOAT_Sign;
+
+ // now determine whether to take a fast path or the full-function
+ // slow path. The slow path must be taken when:
+ // -- both numbers are finite, and:
+ // the exponents are different, or
+ // the signs are different, or
+ // the sum of the MSDs is >8 (hence might overflow)
+ // specialness and the sum of the MSDs can be tested at once using
+ // the summ value just calculated, so the test for specials is no
+ // longer on the worst-case path (as of 3.60)
+
+ if (summ<=8) { // MSD+MSD is good, or there is a special
+ if (summ<0) { // there is a special
+ // Inf+Inf would give -64; Inf+finite is -32 or higher
+ if (summ<-64) return decNaNs(result, dfl, dfr, set); // one or two NaNs
+ // two infinities with different signs is invalid
+ if (summ==-64 && diffsign) return decInvalid(result, set);
+ if (DFISINF(dfl)) return decInfinity(result, dfl); // LHS is infinite
+ return decInfinity(result, dfr); // RHS must be Inf
+ }
+ // Here when both arguments are finite; fast path is possible
+ // (currently only for aligned and same-sign)
+ if (bexpr==bexpl && !diffsign) {
+ uInt tac[DECLETS+1]; // base-1000 coefficient
+ uInt encode; // work
+
+ // Get one coefficient as base-1000 and add the other
+ GETCOEFFTHOU(dfl, tac); // least-significant goes to [0]
+ ADDCOEFFTHOU(dfr, tac);
+ // here the sum of the MSDs (plus any carry) will be <10 due to
+ // the fastpath test earlier
+
+ // construct the result; low word is the same for both formats
+ encode =BIN2DPD[tac[0]];
+ encode|=BIN2DPD[tac[1]]<<10;
+ encode|=BIN2DPD[tac[2]]<<20;
+ encode|=BIN2DPD[tac[3]]<<30;
+ DFWORD(result, (DECBYTES/4)-1)=encode;
+
+ // collect next two declets (all that remains, for Double)
+ encode =BIN2DPD[tac[3]]>>2;
+ encode|=BIN2DPD[tac[4]]<<8;
+
+ #if QUAD
+ // complete and lay out middling words
+ encode|=BIN2DPD[tac[5]]<<18;
+ encode|=BIN2DPD[tac[6]]<<28;
+ DFWORD(result, 2)=encode;
+
+ encode =BIN2DPD[tac[6]]>>4;
+ encode|=BIN2DPD[tac[7]]<<6;
+ encode|=BIN2DPD[tac[8]]<<16;
+ encode|=BIN2DPD[tac[9]]<<26;
+ DFWORD(result, 1)=encode;
+
+ // and final two declets
+ encode =BIN2DPD[tac[9]]>>6;
+ encode|=BIN2DPD[tac[10]]<<4;
+ #endif
+
+ // add exponent continuation and sign (from either argument)
+ encode|=sourhil & (ECONMASK | DECFLOAT_Sign);
+
+ // create lookup index = MSD + top two bits of biased exponent <<4
+ tac[DECLETS]|=(bexpl>>DECECONL)<<4;
+ encode|=DECCOMBFROM[tac[DECLETS]]; // add constructed combination field
+ DFWORD(result, 0)=encode; // complete
+
+ // decFloatShow(result, ">");
+ return result;
+ } // fast path OK
+ // drop through to slow path
+ } // low sum or Special(s)
+
+ /* Slow path required -- arguments are finite and might overflow, */
+ /* or require alignment, or might have different signs */
+
+ // now swap either exponents or argument pointers
+ if (bexpl<=bexpr) {
+ // original left is bigger
+ Int bexpswap=bexpl;
+ bexpl=bexpr;
+ bexpr=bexpswap;
+ // printf("left bigger\n");
+ }
+ else {
+ const decFloat *dfswap=dfl;
+ dfl=dfr;
+ dfr=dfswap;
+ // printf("right bigger\n");
+ }
+ // [here dfl and bexpl refer to the datum with the larger exponent,
+ // of if the exponents are equal then the original LHS argument]
+
+ // if lhs is zero then result will be the rhs (now known to have
+ // the smaller exponent), which also may need to be tested for zero
+ // for the weird IEEE 754 sign rules
+ if (DFISZERO(dfl)) {
+ decCanonical(result, dfr); // clean copy
+ // "When the sum of two operands with opposite signs is
+ // exactly zero, the sign of that sum shall be '+' in all
+ // rounding modes except round toward -Infinity, in which
+ // mode that sign shall be '-'."
+ if (diffsign && DFISZERO(result)) {
+ DFWORD(result, 0)&=~DECFLOAT_Sign; // assume sign 0
+ if (set->round==DEC_ROUND_FLOOR) DFWORD(result, 0)|=DECFLOAT_Sign;
+ }
+ return result;
+ } // numfl is zero
+ // [here, LHS is non-zero; code below assumes that]
+
+ // Coefficients layout during the calculations to follow:
+ //
+ // Overlap case:
+ // +------------------------------------------------+
+ // acc: |0000| coeffa | tail B | |
+ // +------------------------------------------------+
+ // buf: |0000| pad0s | coeffb | |
+ // +------------------------------------------------+
+ //
+ // Touching coefficients or gap:
+ // +------------------------------------------------+
+ // acc: |0000| coeffa | gap | coeffb |
+ // +------------------------------------------------+
+ // [buf not used or needed; gap clamped to Pmax]
+
+ // lay out lhs coefficient into accumulator; this starts at acc+4
+ // for decDouble or acc+6 for decQuad so the LSD is word-
+ // aligned; the top word gap is there only in case a carry digit
+ // is prefixed after the add -- it does not need to be zeroed
+ #if DOUBLE
+ #define COFF 4 // offset into acc
+ #elif QUAD
+ UBFROMUS(acc+4, 0); // prefix 00
+ #define COFF 6 // offset into acc
+ #endif
+
+ GETCOEFF(dfl, acc+COFF); // decode from decFloat
+ ulsd=acc+COFF+DECPMAX-1;
+ umsd=acc+4; // [having this here avoids
+
+ #if DECTRACE
+ {bcdnum tum;
+ tum.msd=umsd;
+ tum.lsd=ulsd;
+ tum.exponent=bexpl-DECBIAS;
+ tum.sign=DFWORD(dfl, 0) & DECFLOAT_Sign;
+ decShowNum(&tum, "dflx");}
+ #endif
+
+ // if signs differ, take ten's complement of lhs (here the
+ // coefficient is subtracted from all-nines; the 1 is added during
+ // the later add cycle -- zeros to the right do not matter because
+ // the complement of zero is zero); these are fixed-length inverts
+ // where the lsd is known to be at a 4-byte boundary (so no borrow
+ // possible)
+ carry=0; // assume no carry
+ if (diffsign) {
+ carry=CARRYPAT; // for +1 during add
+ UBFROMUI(acc+ 4, 0x09090909-UBTOUI(acc+ 4));
+ UBFROMUI(acc+ 8, 0x09090909-UBTOUI(acc+ 8));
+ UBFROMUI(acc+12, 0x09090909-UBTOUI(acc+12));
+ UBFROMUI(acc+16, 0x09090909-UBTOUI(acc+16));
+ #if QUAD
+ UBFROMUI(acc+20, 0x09090909-UBTOUI(acc+20));
+ UBFROMUI(acc+24, 0x09090909-UBTOUI(acc+24));
+ UBFROMUI(acc+28, 0x09090909-UBTOUI(acc+28));
+ UBFROMUI(acc+32, 0x09090909-UBTOUI(acc+32));
+ UBFROMUI(acc+36, 0x09090909-UBTOUI(acc+36));
+ #endif
+ } // diffsign
+
+ // now process the rhs coefficient; if it cannot overlap lhs then
+ // it can be put straight into acc (with an appropriate gap, if
+ // needed) because no actual addition will be needed (except
+ // possibly to complete ten's complement)
+ overlap=DECPMAX-(bexpl-bexpr);
+ #if DECTRACE
+ printf("exps: %ld %ld\n", (LI)(bexpl-DECBIAS), (LI)(bexpr-DECBIAS));
+ printf("Overlap=%ld carry=%08lx\n", (LI)overlap, (LI)carry);
+ #endif
+
+ if (overlap<=0) { // no overlap possible
+ uInt gap; // local work
+ // since a full addition is not needed, a ten's complement
+ // calculation started above may need to be completed
+ if (carry) {
+ for (ub=ulsd; *ub==9; ub--) *ub=0;
+ *ub+=1;
+ carry=0; // taken care of
+ }
+ // up to DECPMAX-1 digits of the final result can extend down
+ // below the LSD of the lhs, so if the gap is >DECPMAX then the
+ // rhs will be simply sticky bits. In this case the gap is
+ // clamped to DECPMAX and the exponent adjusted to suit [this is
+ // safe because the lhs is non-zero].
+ gap=-overlap;
+ if (gap>DECPMAX) {
+ bexpr+=gap-1;
+ gap=DECPMAX;
+ }
+ ub=ulsd+gap+1; // where MSD will go
+ // Fill the gap with 0s; note that there is no addition to do
+ ut=acc+COFF+DECPMAX; // start of gap
+ for (; ut DECPMAX
+ *ub=(uByte)(!DFISZERO(dfr)); // make sticky digit
+ }
+ else { // need full coefficient
+ GETCOEFF(dfr, ub); // decode from decFloat
+ ub+=DECPMAX-1; // new LSD...
+ }
+ ulsd=ub; // save new LSD
+ } // no overlap possible
+
+ else { // overlap>0
+ // coefficients overlap (perhaps completely, although also
+ // perhaps only where zeros)
+ if (overlap==DECPMAX) { // aligned
+ ub=buf+COFF; // where msd will go
+ #if QUAD
+ UBFROMUS(buf+4, 0); // clear quad's 00
+ #endif
+ GETCOEFF(dfr, ub); // decode from decFloat
+ }
+ else { // unaligned
+ ub=buf+COFF+DECPMAX-overlap; // where MSD will go
+ // Fill the prefix gap with 0s; 8 will cover most common
+ // unalignments, so start with direct assignments (a loop is
+ // then used for any remaining -- the loop (and the one in a
+ // moment) is not then on the critical path because the number
+ // of additions is reduced by (at least) two in this case)
+ UBFROMUI(buf+4, 0); // [clears decQuad 00 too]
+ UBFROMUI(buf+8, 0);
+ if (ub>buf+12) {
+ ut=buf+12; // start any remaining
+ for (; ut=acc+4; ut-=4, us-=4) { // big-endian add loop
+ // bcd8 add
+ carry+=UBTOUI(us); // rhs + carry
+ if (carry==0) continue; // no-op
+ carry+=UBTOUI(ut); // lhs
+ // Big-endian BCD adjust (uses internal carry)
+ carry+=0x76f6f6f6; // note top nibble not all bits
+ // apply BCD adjust and save
+ UBFROMUI(ut, (carry & 0x0f0f0f0f) - ((carry & 0x60606060)>>4));
+ carry>>=31; // true carry was at far left
+ } // add loop
+ #else
+ for (; ut>=acc+4; ut-=4, us-=4) { // little-endian add loop
+ // bcd8 add
+ carry+=UBTOUI(us); // rhs + carry
+ if (carry==0) continue; // no-op [common if unaligned]
+ carry+=UBTOUI(ut); // lhs
+ // Little-endian BCD adjust; inter-digit carry must be manual
+ // because the lsb from the array will be in the most-significant
+ // byte of carry
+ carry+=0x76767676; // note no inter-byte carries
+ carry+=(carry & 0x80000000)>>15;
+ carry+=(carry & 0x00800000)>>15;
+ carry+=(carry & 0x00008000)>>15;
+ carry-=(carry & 0x60606060)>>4; // BCD adjust back
+ UBFROMUI(ut, carry & 0x0f0f0f0f); // clear debris and save
+ // here, final carry-out bit is at 0x00000080; move it ready
+ // for next word-add (i.e., to 0x01000000)
+ carry=(carry & 0x00000080)<<17;
+ } // add loop
+ #endif
+
+ #if DECTRACE
+ {bcdnum tum;
+ printf("Add done, carry=%08lx, diffsign=%ld\n", (LI)carry, (LI)diffsign);
+ tum.msd=umsd; // acc+4;
+ tum.lsd=ulsd;
+ tum.exponent=0;
+ tum.sign=0;
+ decShowNum(&tum, "dfadd");}
+ #endif
+ } // overlap possible
+
+ // ordering here is a little strange in order to have slowest path
+ // first in GCC asm listing
+ if (diffsign) { // subtraction
+ if (!carry) { // no carry out means RHS=umsd+BNEXT) { // unaligned
+ // eight will handle most unaligments for Double; 16 for Quad
+ UBFROMUI(umsd+BNEXT, 0x09090909-UBTOUI(umsd+BNEXT));
+ UBFROMUI(umsd+BNEXT+4, 0x09090909-UBTOUI(umsd+BNEXT+4));
+ #if DOUBLE
+ #define BNEXTY (BNEXT+8)
+ #elif QUAD
+ UBFROMUI(umsd+BNEXT+8, 0x09090909-UBTOUI(umsd+BNEXT+8));
+ UBFROMUI(umsd+BNEXT+12, 0x09090909-UBTOUI(umsd+BNEXT+12));
+ #define BNEXTY (BNEXT+16)
+ #endif
+ if (ulsd>=umsd+BNEXTY) { // very unaligned
+ ut=umsd+BNEXTY; // -> continue
+ for (;;ut+=4) {
+ UBFROMUI(ut, 0x09090909-UBTOUI(ut)); // invert four digits
+ if (ut>=ulsd-3) break; // all done
+ }
+ }
+ }
+ // complete the ten's complement by adding 1
+ for (ub=ulsd; *ub==9; ub--) *ub=0;
+ *ub+=1;
+ } // borrowed
+
+ else { // carry out means RHS>=LHS
+ num.sign=DFWORD(dfr, 0) & DECFLOAT_Sign;
+ // all done except for the special IEEE 754 exact-zero-result
+ // rule (see above); while testing for zero, strip leading
+ // zeros (which will save decFinalize doing it) (this is in
+ // diffsign path, so carry impossible and true umsd is
+ // acc+COFF)
+
+ // Check the initial coefficient area using the fast macro;
+ // this will often be all that needs to be done (as on the
+ // worst-case path when the subtraction was aligned and
+ // full-length)
+ if (ISCOEFFZERO(acc+COFF)) {
+ umsd=acc+COFF+DECPMAX-1; // so far, so zero
+ if (ulsd>umsd) { // more to check
+ umsd++; // to align after checked area
+ for (; UBTOUI(umsd)==0 && umsd+3round==DEC_ROUND_FLOOR) num.sign=DECFLOAT_Sign;
+ }
+ }
+ // [else was not zero, might still have leading zeros]
+ } // subtraction gave positive result
+ } // diffsign
+
+ else { // same-sign addition
+ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign;
+ #if DOUBLE
+ if (carry) { // only possible with decDouble
+ *(acc+3)=1; // [Quad has leading 00]
+ umsd=acc+3;
+ }
+ #endif
+ } // same sign
+
+ num.msd=umsd; // set MSD ..
+ num.lsd=ulsd; // .. and LSD
+ num.exponent=bexpr-DECBIAS; // set exponent to smaller, unbiassed
+
+ #if DECTRACE
+ decFloatShow(dfl, "dfl");
+ decFloatShow(dfr, "dfr");
+ decShowNum(&num, "postadd");
+ #endif
+ return decFinalize(result, &num, set); // round, check, and lay out
+ } // decFloatAdd
+
+/* ------------------------------------------------------------------ */
+/* decFloatAnd -- logical digitwise AND of two decFloats */
+/* */
+/* result gets the result of ANDing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result, which will be canonical with sign=0 */
+/* */
+/* The operands must be positive, finite with exponent q=0, and */
+/* comprise just zeros and ones; if not, Invalid operation results. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatAnd(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ if (!DFISUINT01(dfl) || !DFISUINT01(dfr)
+ || !DFISCC01(dfl) || !DFISCC01(dfr)) return decInvalid(result, set);
+ // the operands are positive finite integers (q=0) with just 0s and 1s
+ #if DOUBLE
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) & DFWORD(dfr, 0))&0x04009124);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) & DFWORD(dfr, 1))&0x49124491;
+ #elif QUAD
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) & DFWORD(dfr, 0))&0x04000912);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) & DFWORD(dfr, 1))&0x44912449;
+ DFWORD(result, 2)=(DFWORD(dfl, 2) & DFWORD(dfr, 2))&0x12449124;
+ DFWORD(result, 3)=(DFWORD(dfl, 3) & DFWORD(dfr, 3))&0x49124491;
+ #endif
+ return result;
+ } // decFloatAnd
+
+/* ------------------------------------------------------------------ */
+/* decFloatCanonical -- copy a decFloat, making canonical */
+/* */
+/* result gets the canonicalized df */
+/* df is the decFloat to copy and make canonical */
+/* returns result */
+/* */
+/* This works on specials, too; no error or exception is possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCanonical(decFloat *result, const decFloat *df) {
+ return decCanonical(result, df);
+ } // decFloatCanonical
+
+/* ------------------------------------------------------------------ */
+/* decFloatClass -- return the class of a decFloat */
+/* */
+/* df is the decFloat to test */
+/* returns the decClass that df falls into */
+/* ------------------------------------------------------------------ */
+enum decClass decFloatClass(const decFloat *df) {
+ Int exp; // exponent
+ if (DFISSPECIAL(df)) {
+ if (DFISQNAN(df)) return DEC_CLASS_QNAN;
+ if (DFISSNAN(df)) return DEC_CLASS_SNAN;
+ // must be an infinity
+ if (DFISSIGNED(df)) return DEC_CLASS_NEG_INF;
+ return DEC_CLASS_POS_INF;
+ }
+ if (DFISZERO(df)) { // quite common
+ if (DFISSIGNED(df)) return DEC_CLASS_NEG_ZERO;
+ return DEC_CLASS_POS_ZERO;
+ }
+ // is finite and non-zero; similar code to decFloatIsNormal, here
+ // [this could be speeded up slightly by in-lining decFloatDigits]
+ exp=GETEXPUN(df) // get unbiased exponent ..
+ +decFloatDigits(df)-1; // .. and make adjusted exponent
+ if (exp>=DECEMIN) { // is normal
+ if (DFISSIGNED(df)) return DEC_CLASS_NEG_NORMAL;
+ return DEC_CLASS_POS_NORMAL;
+ }
+ // is subnormal
+ if (DFISSIGNED(df)) return DEC_CLASS_NEG_SUBNORMAL;
+ return DEC_CLASS_POS_SUBNORMAL;
+ } // decFloatClass
+
+/* ------------------------------------------------------------------ */
+/* decFloatClassString -- return the class of a decFloat as a string */
+/* */
+/* df is the decFloat to test */
+/* returns a constant string describing the class df falls into */
+/* ------------------------------------------------------------------ */
+const char *decFloatClassString(const decFloat *df) {
+ enum decClass eclass=decFloatClass(df);
+ if (eclass==DEC_CLASS_POS_NORMAL) return DEC_ClassString_PN;
+ if (eclass==DEC_CLASS_NEG_NORMAL) return DEC_ClassString_NN;
+ if (eclass==DEC_CLASS_POS_ZERO) return DEC_ClassString_PZ;
+ if (eclass==DEC_CLASS_NEG_ZERO) return DEC_ClassString_NZ;
+ if (eclass==DEC_CLASS_POS_SUBNORMAL) return DEC_ClassString_PS;
+ if (eclass==DEC_CLASS_NEG_SUBNORMAL) return DEC_ClassString_NS;
+ if (eclass==DEC_CLASS_POS_INF) return DEC_ClassString_PI;
+ if (eclass==DEC_CLASS_NEG_INF) return DEC_ClassString_NI;
+ if (eclass==DEC_CLASS_QNAN) return DEC_ClassString_QN;
+ if (eclass==DEC_CLASS_SNAN) return DEC_ClassString_SN;
+ return DEC_ClassString_UN; // Unknown
+ } // decFloatClassString
+
+/* ------------------------------------------------------------------ */
+/* decFloatCompare -- compare two decFloats; quiet NaNs allowed */
+/* */
+/* result gets the result of comparing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result, which may be -1, 0, 1, or NaN (Unordered) */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCompare(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp; // work
+ // NaNs are handled as usual
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ // numeric comparison needed
+ comp=decNumCompare(dfl, dfr, 0);
+ decFloatZero(result);
+ if (comp==0) return result;
+ DFBYTE(result, DECBYTES-1)=0x01; // LSD=1
+ if (comp<0) DFBYTE(result, 0)|=0x80; // set sign bit
+ return result;
+ } // decFloatCompare
+
+/* ------------------------------------------------------------------ */
+/* decFloatCompareSignal -- compare two decFloats; all NaNs signal */
+/* */
+/* result gets the result of comparing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result, which may be -1, 0, 1, or NaN (Unordered) */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCompareSignal(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp; // work
+ // NaNs are handled as usual, except that all NaNs signal
+ if (DFISNAN(dfl) || DFISNAN(dfr)) {
+ set->status|=DEC_Invalid_operation;
+ return decNaNs(result, dfl, dfr, set);
+ }
+ // numeric comparison needed
+ comp=decNumCompare(dfl, dfr, 0);
+ decFloatZero(result);
+ if (comp==0) return result;
+ DFBYTE(result, DECBYTES-1)=0x01; // LSD=1
+ if (comp<0) DFBYTE(result, 0)|=0x80; // set sign bit
+ return result;
+ } // decFloatCompareSignal
+
+/* ------------------------------------------------------------------ */
+/* decFloatCompareTotal -- compare two decFloats with total ordering */
+/* */
+/* result gets the result of comparing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* returns result, which may be -1, 0, or 1 */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCompareTotal(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr) {
+ Int comp; // work
+ uInt uiwork; // for macros
+ #if QUAD
+ uShort uswork; // ..
+ #endif
+ if (DFISNAN(dfl) || DFISNAN(dfr)) {
+ Int nanl, nanr; // work
+ // morph NaNs to +/- 1 or 2, leave numbers as 0
+ nanl=DFISSNAN(dfl)+DFISQNAN(dfl)*2; // quiet > signalling
+ if (DFISSIGNED(dfl)) nanl=-nanl;
+ nanr=DFISSNAN(dfr)+DFISQNAN(dfr)*2;
+ if (DFISSIGNED(dfr)) nanr=-nanr;
+ if (nanl>nanr) comp=+1;
+ else if (nanl*uc) comp=sigl; // difference found
+ else comp=-sigl; // ..
+ break;
+ }
+ }
+ } // same NaN type and sign
+ }
+ else {
+ // numeric comparison needed
+ comp=decNumCompare(dfl, dfr, 1); // total ordering
+ }
+ decFloatZero(result);
+ if (comp==0) return result;
+ DFBYTE(result, DECBYTES-1)=0x01; // LSD=1
+ if (comp<0) DFBYTE(result, 0)|=0x80; // set sign bit
+ return result;
+ } // decFloatCompareTotal
+
+/* ------------------------------------------------------------------ */
+/* decFloatCompareTotalMag -- compare magnitudes with total ordering */
+/* */
+/* result gets the result of comparing abs(dfl) and abs(dfr) */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* returns result, which may be -1, 0, or 1 */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCompareTotalMag(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr) {
+ decFloat a, b; // for copy if needed
+ // copy and redirect signed operand(s)
+ if (DFISSIGNED(dfl)) {
+ decFloatCopyAbs(&a, dfl);
+ dfl=&a;
+ }
+ if (DFISSIGNED(dfr)) {
+ decFloatCopyAbs(&b, dfr);
+ dfr=&b;
+ }
+ return decFloatCompareTotal(result, dfl, dfr);
+ } // decFloatCompareTotalMag
+
+/* ------------------------------------------------------------------ */
+/* decFloatCopy -- copy a decFloat as-is */
+/* */
+/* result gets the copy of dfl */
+/* dfl is the decFloat to copy */
+/* returns result */
+/* */
+/* This is a bitwise operation; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCopy(decFloat *result, const decFloat *dfl) {
+ if (dfl!=result) *result=*dfl; // copy needed
+ return result;
+ } // decFloatCopy
+
+/* ------------------------------------------------------------------ */
+/* decFloatCopyAbs -- copy a decFloat as-is and set sign bit to 0 */
+/* */
+/* result gets the copy of dfl with sign bit 0 */
+/* dfl is the decFloat to copy */
+/* returns result */
+/* */
+/* This is a bitwise operation; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCopyAbs(decFloat *result, const decFloat *dfl) {
+ if (dfl!=result) *result=*dfl; // copy needed
+ DFBYTE(result, 0)&=~0x80; // zero sign bit
+ return result;
+ } // decFloatCopyAbs
+
+/* ------------------------------------------------------------------ */
+/* decFloatCopyNegate -- copy a decFloat as-is with inverted sign bit */
+/* */
+/* result gets the copy of dfl with sign bit inverted */
+/* dfl is the decFloat to copy */
+/* returns result */
+/* */
+/* This is a bitwise operation; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCopyNegate(decFloat *result, const decFloat *dfl) {
+ if (dfl!=result) *result=*dfl; // copy needed
+ DFBYTE(result, 0)^=0x80; // invert sign bit
+ return result;
+ } // decFloatCopyNegate
+
+/* ------------------------------------------------------------------ */
+/* decFloatCopySign -- copy a decFloat with the sign of another */
+/* */
+/* result gets the result of copying dfl with the sign of dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* returns result */
+/* */
+/* This is a bitwise operation; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatCopySign(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr) {
+ uByte sign=(uByte)(DFBYTE(dfr, 0)&0x80); // save sign bit
+ if (dfl!=result) *result=*dfl; // copy needed
+ DFBYTE(result, 0)&=~0x80; // clear sign ..
+ DFBYTE(result, 0)=(uByte)(DFBYTE(result, 0)|sign); // .. and set saved
+ return result;
+ } // decFloatCopySign
+
+/* ------------------------------------------------------------------ */
+/* decFloatDigits -- return the number of digits in a decFloat */
+/* */
+/* df is the decFloat to investigate */
+/* returns the number of significant digits in the decFloat; a */
+/* zero coefficient returns 1 as does an infinity (a NaN returns */
+/* the number of digits in the payload) */
+/* ------------------------------------------------------------------ */
+// private macro to extract a declet according to provided formula
+// (form), and if it is non-zero then return the calculated digits
+// depending on the declet number (n), where n=0 for the most
+// significant declet; uses uInt dpd for work
+#define dpdlenchk(n, form) dpd=(form)&0x3ff; \
+ if (dpd) return (DECPMAX-1-3*(n))-(3-DPD2BCD8[dpd*4+3])
+// next one is used when it is known that the declet must be
+// non-zero, or is the final zero declet
+#define dpdlendun(n, form) dpd=(form)&0x3ff; \
+ if (dpd==0) return 1; \
+ return (DECPMAX-1-3*(n))-(3-DPD2BCD8[dpd*4+3])
+
+uInt decFloatDigits(const decFloat *df) {
+ uInt dpd; // work
+ uInt sourhi=DFWORD(df, 0); // top word from source decFloat
+ #if QUAD
+ uInt sourmh, sourml;
+ #endif
+ uInt sourlo;
+
+ if (DFISINF(df)) return 1;
+ // A NaN effectively has an MSD of 0; otherwise if non-zero MSD
+ // then the coefficient is full-length
+ if (!DFISNAN(df) && DECCOMBMSD[sourhi>>26]) return DECPMAX;
+
+ #if DOUBLE
+ if (sourhi&0x0003ffff) { // ends in first
+ dpdlenchk(0, sourhi>>8);
+ sourlo=DFWORD(df, 1);
+ dpdlendun(1, (sourhi<<2) | (sourlo>>30));
+ } // [cannot drop through]
+ sourlo=DFWORD(df, 1); // sourhi not involved now
+ if (sourlo&0xfff00000) { // in one of first two
+ dpdlenchk(1, sourlo>>30); // very rare
+ dpdlendun(2, sourlo>>20);
+ } // [cannot drop through]
+ dpdlenchk(3, sourlo>>10);
+ dpdlendun(4, sourlo);
+ // [cannot drop through]
+
+ #elif QUAD
+ if (sourhi&0x00003fff) { // ends in first
+ dpdlenchk(0, sourhi>>4);
+ sourmh=DFWORD(df, 1);
+ dpdlendun(1, ((sourhi)<<6) | (sourmh>>26));
+ } // [cannot drop through]
+ sourmh=DFWORD(df, 1);
+ if (sourmh) {
+ dpdlenchk(1, sourmh>>26);
+ dpdlenchk(2, sourmh>>16);
+ dpdlenchk(3, sourmh>>6);
+ sourml=DFWORD(df, 2);
+ dpdlendun(4, ((sourmh)<<4) | (sourml>>28));
+ } // [cannot drop through]
+ sourml=DFWORD(df, 2);
+ if (sourml) {
+ dpdlenchk(4, sourml>>28);
+ dpdlenchk(5, sourml>>18);
+ dpdlenchk(6, sourml>>8);
+ sourlo=DFWORD(df, 3);
+ dpdlendun(7, ((sourml)<<2) | (sourlo>>30));
+ } // [cannot drop through]
+ sourlo=DFWORD(df, 3);
+ if (sourlo&0xfff00000) { // in one of first two
+ dpdlenchk(7, sourlo>>30); // very rare
+ dpdlendun(8, sourlo>>20);
+ } // [cannot drop through]
+ dpdlenchk(9, sourlo>>10);
+ dpdlendun(10, sourlo);
+ // [cannot drop through]
+ #endif
+ } // decFloatDigits
+
+/* ------------------------------------------------------------------ */
+/* decFloatDivide -- divide a decFloat by another */
+/* */
+/* result gets the result of dividing dfl by dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+// This is just a wrapper.
+decFloat * decFloatDivide(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ return decDivide(result, dfl, dfr, set, DIVIDE);
+ } // decFloatDivide
+
+/* ------------------------------------------------------------------ */
+/* decFloatDivideInteger -- integer divide a decFloat by another */
+/* */
+/* result gets the result of dividing dfl by dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatDivideInteger(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ return decDivide(result, dfl, dfr, set, DIVIDEINT);
+ } // decFloatDivideInteger
+
+/* ------------------------------------------------------------------ */
+/* decFloatFMA -- multiply and add three decFloats, fused */
+/* */
+/* result gets the result of (dfl*dfr)+dff with a single rounding */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* dff is the final decFloat (fhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFMA(decFloat *result, const decFloat *dfl,
+ const decFloat *dfr, const decFloat *dff,
+ decContext *set) {
+
+ // The accumulator has the bytes needed for FiniteMultiply, plus
+ // one byte to the left in case of carry, plus DECPMAX+2 to the
+ // right for the final addition (up to full fhs + round & sticky)
+ #define FMALEN (ROUNDUP4(1+ (DECPMAX9*18+1) +DECPMAX+2))
+ uByte acc[FMALEN]; // for multiplied coefficient in BCD
+ // .. and for final result
+ bcdnum mul; // for multiplication result
+ bcdnum fin; // for final operand, expanded
+ uByte coe[ROUNDUP4(DECPMAX)]; // dff coefficient in BCD
+ bcdnum *hi, *lo; // bcdnum with higher/lower exponent
+ uInt diffsign; // non-zero if signs differ
+ uInt hipad; // pad digit for hi if needed
+ Int padding; // excess exponent
+ uInt carry; // +1 for ten's complement and during add
+ uByte *ub, *uh, *ul; // work
+ uInt uiwork; // for macros
+
+ // handle all the special values [any special operand leads to a
+ // special result]
+ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr) || DFISSPECIAL(dff)) {
+ decFloat proxy; // multiplication result proxy
+ // NaNs are handled as usual, giving priority to sNaNs
+ if (DFISSNAN(dfl) || DFISSNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ if (DFISSNAN(dff)) return decNaNs(result, dff, NULL, set);
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ if (DFISNAN(dff)) return decNaNs(result, dff, NULL, set);
+ // One or more of the three is infinite
+ // infinity times zero is bad
+ decFloatZero(&proxy);
+ if (DFISINF(dfl)) {
+ if (DFISZERO(dfr)) return decInvalid(result, set);
+ decInfinity(&proxy, &proxy);
+ }
+ else if (DFISINF(dfr)) {
+ if (DFISZERO(dfl)) return decInvalid(result, set);
+ decInfinity(&proxy, &proxy);
+ }
+ // compute sign of multiplication and place in proxy
+ DFWORD(&proxy, 0)|=(DFWORD(dfl, 0)^DFWORD(dfr, 0))&DECFLOAT_Sign;
+ if (!DFISINF(dff)) return decFloatCopy(result, &proxy);
+ // dff is Infinite
+ if (!DFISINF(&proxy)) return decInfinity(result, dff);
+ // both sides of addition are infinite; different sign is bad
+ if ((DFWORD(dff, 0)&DECFLOAT_Sign)!=(DFWORD(&proxy, 0)&DECFLOAT_Sign))
+ return decInvalid(result, set);
+ return decFloatCopy(result, &proxy);
+ }
+
+ /* Here when all operands are finite */
+
+ // First multiply dfl*dfr
+ decFiniteMultiply(&mul, acc+1, dfl, dfr);
+ // The multiply is complete, exact and unbounded, and described in
+ // mul with the coefficient held in acc[1...]
+
+ // now add in dff; the algorithm is essentially the same as
+ // decFloatAdd, but the code is different because the code there
+ // is highly optimized for adding two numbers of the same size
+ fin.exponent=GETEXPUN(dff); // get dff exponent and sign
+ fin.sign=DFWORD(dff, 0)&DECFLOAT_Sign;
+ diffsign=mul.sign^fin.sign; // note if signs differ
+ fin.msd=coe;
+ fin.lsd=coe+DECPMAX-1;
+ GETCOEFF(dff, coe); // extract the coefficient
+
+ // now set hi and lo so that hi points to whichever of mul and fin
+ // has the higher exponent and lo points to the other [don't care,
+ // if the same]. One coefficient will be in acc, the other in coe.
+ if (mul.exponent>=fin.exponent) {
+ hi=&mul;
+ lo=&fin;
+ }
+ else {
+ hi=&fin;
+ lo=&mul;
+ }
+
+ // remove leading zeros on both operands; this will save time later
+ // and make testing for zero trivial (tests are safe because acc
+ // and coe are rounded up to uInts)
+ for (; UBTOUI(hi->msd)==0 && hi->msd+3lsd;) hi->msd+=4;
+ for (; *hi->msd==0 && hi->msdlsd;) hi->msd++;
+ for (; UBTOUI(lo->msd)==0 && lo->msd+3lsd;) lo->msd+=4;
+ for (; *lo->msd==0 && lo->msdlsd;) lo->msd++;
+
+ // if hi is zero then result will be lo (which has the smaller
+ // exponent), which also may need to be tested for zero for the
+ // weird IEEE 754 sign rules
+ if (*hi->msd==0) { // hi is zero
+ // "When the sum of two operands with opposite signs is
+ // exactly zero, the sign of that sum shall be '+' in all
+ // rounding modes except round toward -Infinity, in which
+ // mode that sign shall be '-'."
+ if (diffsign) {
+ if (*lo->msd==0) { // lo is zero
+ lo->sign=0;
+ if (set->round==DEC_ROUND_FLOOR) lo->sign=DECFLOAT_Sign;
+ } // diffsign && lo=0
+ } // diffsign
+ return decFinalize(result, lo, set); // may need clamping
+ } // numfl is zero
+ // [here, both are minimal length and hi is non-zero]
+ // (if lo is zero then padding with zeros may be needed, below)
+
+ // if signs differ, take the ten's complement of hi (zeros to the
+ // right do not matter because the complement of zero is zero); the
+ // +1 is done later, as part of the addition, inserted at the
+ // correct digit
+ hipad=0;
+ carry=0;
+ if (diffsign) {
+ hipad=9;
+ carry=1;
+ // exactly the correct number of digits must be inverted
+ for (uh=hi->msd; uhlsd-3; uh+=4) UBFROMUI(uh, 0x09090909-UBTOUI(uh));
+ for (; uh<=hi->lsd; uh++) *uh=(uByte)(0x09-*uh);
+ }
+
+ // ready to add; note that hi has no leading zeros so gap
+ // calculation does not have to be as pessimistic as in decFloatAdd
+ // (this is much more like the arbitrary-precision algorithm in
+ // Rexx and decNumber)
+
+ // padding is the number of zeros that would need to be added to hi
+ // for its lsd to be aligned with the lsd of lo
+ padding=hi->exponent-lo->exponent;
+ // printf("FMA pad %ld\n", (LI)padding);
+
+ // the result of the addition will be built into the accumulator,
+ // starting from the far right; this could be either hi or lo, and
+ // will be aligned
+ ub=acc+FMALEN-1; // where lsd of result will go
+ ul=lo->lsd; // lsd of rhs
+
+ if (padding!=0) { // unaligned
+ // if the msd of lo is more than DECPMAX+2 digits to the right of
+ // the original msd of hi then it can be reduced to a single
+ // digit at the right place, as it stays clear of hi digits
+ // [it must be DECPMAX+2 because during a subtraction the msd
+ // could become 0 after a borrow from 1.000 to 0.9999...]
+
+ Int hilen=(Int)(hi->lsd-hi->msd+1); // length of hi
+ Int lolen=(Int)(lo->lsd-lo->msd+1); // and of lo
+
+ if (hilen+padding-lolen > DECPMAX+2) { // can reduce lo to single
+ // make sure it is virtually at least DECPMAX from hi->msd, at
+ // least to right of hi->lsd (in case of destructive subtract),
+ // and separated by at least two digits from either of those
+ // (the tricky DOUBLE case is when hi is a 1 that will become a
+ // 0.9999... by subtraction:
+ // hi: 1 E+16
+ // lo: .................1000000000000000 E-16
+ // which for the addition pads to:
+ // hi: 1000000000000000000 E-16
+ // lo: .................1000000000000000 E-16
+ Int newexp=MINI(hi->exponent, hi->exponent+hilen-DECPMAX)-3;
+
+ // printf("FMA reduce: %ld\n", (LI)reduce);
+ lo->lsd=lo->msd; // to single digit [maybe 0]
+ lo->exponent=newexp; // new lowest exponent
+ padding=hi->exponent-lo->exponent; // recalculate
+ ul=lo->lsd; // .. and repoint
+ }
+
+ // padding is still > 0, but will fit in acc (less leading carry slot)
+ #if DECCHECK
+ if (padding<=0) printf("FMA low padding: %ld\n", (LI)padding);
+ if (hilen+padding+1>FMALEN)
+ printf("FMA excess hilen+padding: %ld+%ld \n", (LI)hilen, (LI)padding);
+ // printf("FMA padding: %ld\n", (LI)padding);
+ #endif
+
+ // padding digits can now be set in the result; one or more of
+ // these will come from lo; others will be zeros in the gap
+ for (; ul-3>=lo->msd && padding>3; padding-=4, ul-=4, ub-=4) {
+ UBFROMUI(ub-3, UBTOUI(ul-3)); // [cannot overlap]
+ }
+ for (; ul>=lo->msd && padding>0; padding--, ul--, ub--) *ub=*ul;
+ for (;padding>0; padding--, ub--) *ub=0; // mind the gap
+ }
+
+ // addition now complete to the right of the rightmost digit of hi
+ uh=hi->lsd;
+
+ // dow do the add from hi->lsd to the left
+ // [bytewise, because either operand can run out at any time]
+ // carry was set up depending on ten's complement above
+ // first assume both operands have some digits
+ for (;; ub--) {
+ if (uhmsd || ulmsd) break;
+ *ub=(uByte)(carry+(*uh--)+(*ul--));
+ carry=0;
+ if (*ub<10) continue;
+ *ub-=10;
+ carry=1;
+ } // both loop
+
+ if (ulmsd) { // to left of lo
+ for (;; ub--) {
+ if (uhmsd) break;
+ *ub=(uByte)(carry+(*uh--)); // [+0]
+ carry=0;
+ if (*ub<10) continue;
+ *ub-=10;
+ carry=1;
+ } // hi loop
+ }
+ else { // to left of hi
+ for (;; ub--) {
+ if (ulmsd) break;
+ *ub=(uByte)(carry+hipad+(*ul--));
+ carry=0;
+ if (*ub<10) continue;
+ *ub-=10;
+ carry=1;
+ } // lo loop
+ }
+
+ // addition complete -- now handle carry, borrow, etc.
+ // use lo to set up the num (its exponent is already correct, and
+ // sign usually is)
+ lo->msd=ub+1;
+ lo->lsd=acc+FMALEN-1;
+ // decShowNum(lo, "lo");
+ if (!diffsign) { // same-sign addition
+ if (carry) { // carry out
+ *ub=1; // place the 1 ..
+ lo->msd--; // .. and update
+ }
+ } // same sign
+ else { // signs differed (subtraction)
+ if (!carry) { // no carry out means hisign=hi->sign; // sign is lhs sign
+ for (ul=lo->msd; ullsd-3; ul+=4) UBFROMUI(ul, 0x09090909-UBTOUI(ul));
+ for (; ul<=lo->lsd; ul++) *ul=(uByte)(0x09-*ul); // [leaves ul at lsd+1]
+ // complete the ten's complement by adding 1 [cannot overrun]
+ for (ul--; *ul==9; ul--) *ul=0;
+ *ul+=1;
+ } // borrowed
+ else { // carry out means hi>=lo
+ // sign to use is lo->sign
+ // all done except for the special IEEE 754 exact-zero-result
+ // rule (see above); while testing for zero, strip leading
+ // zeros (which will save decFinalize doing it)
+ for (; UBTOUI(lo->msd)==0 && lo->msd+3lsd;) lo->msd+=4;
+ for (; *lo->msd==0 && lo->msdlsd;) lo->msd++;
+ if (*lo->msd==0) { // must be true zero (and diffsign)
+ lo->sign=0; // assume +
+ if (set->round==DEC_ROUND_FLOOR) lo->sign=DECFLOAT_Sign;
+ }
+ // [else was not zero, might still have leading zeros]
+ } // subtraction gave positive result
+ } // diffsign
+
+ #if DECCHECK
+ // assert no left underrun
+ if (lo->msdmsd));
+ }
+ #endif
+
+ return decFinalize(result, lo, set); // round, check, and lay out
+ } // decFloatFMA
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromInt -- initialise a decFloat from an Int */
+/* */
+/* result gets the converted Int */
+/* n is the Int to convert */
+/* returns result */
+/* */
+/* The result is Exact; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromInt32(decFloat *result, Int n) {
+ uInt u=(uInt)n; // copy as bits
+ uInt encode; // work
+ DFWORD(result, 0)=ZEROWORD; // always
+ #if QUAD
+ DFWORD(result, 1)=0;
+ DFWORD(result, 2)=0;
+ #endif
+ if (n<0) { // handle -n with care
+ // [This can be done without the test, but is then slightly slower]
+ u=(~u)+1;
+ DFWORD(result, 0)|=DECFLOAT_Sign;
+ }
+ // Since the maximum value of u now is 2**31, only the low word of
+ // result is affected
+ encode=BIN2DPD[u%1000];
+ u/=1000;
+ encode|=BIN2DPD[u%1000]<<10;
+ u/=1000;
+ encode|=BIN2DPD[u%1000]<<20;
+ u/=1000; // now 0, 1, or 2
+ encode|=u<<30;
+ DFWORD(result, DECWORDS-1)=encode;
+ return result;
+ } // decFloatFromInt32
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromUInt -- initialise a decFloat from a uInt */
+/* */
+/* result gets the converted uInt */
+/* n is the uInt to convert */
+/* returns result */
+/* */
+/* The result is Exact; no errors or exceptions are possible. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromUInt32(decFloat *result, uInt u) {
+ uInt encode; // work
+ DFWORD(result, 0)=ZEROWORD; // always
+ #if QUAD
+ DFWORD(result, 1)=0;
+ DFWORD(result, 2)=0;
+ #endif
+ encode=BIN2DPD[u%1000];
+ u/=1000;
+ encode|=BIN2DPD[u%1000]<<10;
+ u/=1000;
+ encode|=BIN2DPD[u%1000]<<20;
+ u/=1000; // now 0 -> 4
+ encode|=u<<30;
+ DFWORD(result, DECWORDS-1)=encode;
+ DFWORD(result, DECWORDS-2)|=u>>2; // rarely non-zero
+ return result;
+ } // decFloatFromUInt32
+
+/* ------------------------------------------------------------------ */
+/* decFloatInvert -- logical digitwise INVERT of a decFloat */
+/* */
+/* result gets the result of INVERTing df */
+/* df is the decFloat to invert */
+/* set is the context */
+/* returns result, which will be canonical with sign=0 */
+/* */
+/* The operand must be positive, finite with exponent q=0, and */
+/* comprise just zeros and ones; if not, Invalid operation results. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatInvert(decFloat *result, const decFloat *df,
+ decContext *set) {
+ uInt sourhi=DFWORD(df, 0); // top word of dfs
+
+ if (!DFISUINT01(df) || !DFISCC01(df)) return decInvalid(result, set);
+ // the operand is a finite integer (q=0)
+ #if DOUBLE
+ DFWORD(result, 0)=ZEROWORD|((~sourhi)&0x04009124);
+ DFWORD(result, 1)=(~DFWORD(df, 1)) &0x49124491;
+ #elif QUAD
+ DFWORD(result, 0)=ZEROWORD|((~sourhi)&0x04000912);
+ DFWORD(result, 1)=(~DFWORD(df, 1)) &0x44912449;
+ DFWORD(result, 2)=(~DFWORD(df, 2)) &0x12449124;
+ DFWORD(result, 3)=(~DFWORD(df, 3)) &0x49124491;
+ #endif
+ return result;
+ } // decFloatInvert
+
+/* ------------------------------------------------------------------ */
+/* decFloatIs -- decFloat tests (IsSigned, etc.) */
+/* */
+/* df is the decFloat to test */
+/* returns 0 or 1 in a uInt */
+/* */
+/* Many of these could be macros, but having them as real functions */
+/* is a little cleaner (and they can be referred to here by the */
+/* generic names) */
+/* ------------------------------------------------------------------ */
+uInt decFloatIsCanonical(const decFloat *df) {
+ if (DFISSPECIAL(df)) {
+ if (DFISINF(df)) {
+ if (DFWORD(df, 0)&ECONMASK) return 0; // exponent continuation
+ if (!DFISCCZERO(df)) return 0; // coefficient continuation
+ return 1;
+ }
+ // is a NaN
+ if (DFWORD(df, 0)&ECONNANMASK) return 0; // exponent continuation
+ if (DFISCCZERO(df)) return 1; // coefficient continuation
+ // drop through to check payload
+ }
+ { // declare block
+ #if DOUBLE
+ uInt sourhi=DFWORD(df, 0);
+ uInt sourlo=DFWORD(df, 1);
+ if (CANONDPDOFF(sourhi, 8)
+ && CANONDPDTWO(sourhi, sourlo, 30)
+ && CANONDPDOFF(sourlo, 20)
+ && CANONDPDOFF(sourlo, 10)
+ && CANONDPDOFF(sourlo, 0)) return 1;
+ #elif QUAD
+ uInt sourhi=DFWORD(df, 0);
+ uInt sourmh=DFWORD(df, 1);
+ uInt sourml=DFWORD(df, 2);
+ uInt sourlo=DFWORD(df, 3);
+ if (CANONDPDOFF(sourhi, 4)
+ && CANONDPDTWO(sourhi, sourmh, 26)
+ && CANONDPDOFF(sourmh, 16)
+ && CANONDPDOFF(sourmh, 6)
+ && CANONDPDTWO(sourmh, sourml, 28)
+ && CANONDPDOFF(sourml, 18)
+ && CANONDPDOFF(sourml, 8)
+ && CANONDPDTWO(sourml, sourlo, 30)
+ && CANONDPDOFF(sourlo, 20)
+ && CANONDPDOFF(sourlo, 10)
+ && CANONDPDOFF(sourlo, 0)) return 1;
+ #endif
+ } // block
+ return 0; // a declet is non-canonical
+ }
+
+uInt decFloatIsFinite(const decFloat *df) {
+ return !DFISSPECIAL(df);
+ }
+uInt decFloatIsInfinite(const decFloat *df) {
+ return DFISINF(df);
+ }
+uInt decFloatIsInteger(const decFloat *df) {
+ return DFISINT(df);
+ }
+uInt decFloatIsLogical(const decFloat *df) {
+ return DFISUINT01(df) & DFISCC01(df);
+ }
+uInt decFloatIsNaN(const decFloat *df) {
+ return DFISNAN(df);
+ }
+uInt decFloatIsNegative(const decFloat *df) {
+ return DFISSIGNED(df) && !DFISZERO(df) && !DFISNAN(df);
+ }
+uInt decFloatIsNormal(const decFloat *df) {
+ Int exp; // exponent
+ if (DFISSPECIAL(df)) return 0;
+ if (DFISZERO(df)) return 0;
+ // is finite and non-zero
+ exp=GETEXPUN(df) // get unbiased exponent ..
+ +decFloatDigits(df)-1; // .. and make adjusted exponent
+ return (exp>=DECEMIN); // < DECEMIN is subnormal
+ }
+uInt decFloatIsPositive(const decFloat *df) {
+ return !DFISSIGNED(df) && !DFISZERO(df) && !DFISNAN(df);
+ }
+uInt decFloatIsSignaling(const decFloat *df) {
+ return DFISSNAN(df);
+ }
+uInt decFloatIsSignalling(const decFloat *df) {
+ return DFISSNAN(df);
+ }
+uInt decFloatIsSigned(const decFloat *df) {
+ return DFISSIGNED(df);
+ }
+uInt decFloatIsSubnormal(const decFloat *df) {
+ if (DFISSPECIAL(df)) return 0;
+ // is finite
+ if (decFloatIsNormal(df)) return 0;
+ // it is Use |A| */
+/* A=0 -> -Infinity (Division by zero) */
+/* A=Infinite -> +Infinity (Exact) */
+/* A=1 exactly -> 0 (Exact) */
+/* NaNs are propagated as usual */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatLogB(decFloat *result, const decFloat *df,
+ decContext *set) {
+ Int ae; // adjusted exponent
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set);
+ if (DFISINF(df)) {
+ DFWORD(result, 0)=0; // need +ve
+ return decInfinity(result, result); // canonical +Infinity
+ }
+ if (DFISZERO(df)) {
+ set->status|=DEC_Division_by_zero; // as per 754
+ DFWORD(result, 0)=DECFLOAT_Sign; // make negative
+ return decInfinity(result, result); // canonical -Infinity
+ }
+ ae=GETEXPUN(df) // get unbiased exponent ..
+ +decFloatDigits(df)-1; // .. and make adjusted exponent
+ // ae has limited range (3 digits for DOUBLE and 4 for QUAD), so
+ // it is worth using a special case of decFloatFromInt32
+ DFWORD(result, 0)=ZEROWORD; // always
+ if (ae<0) {
+ DFWORD(result, 0)|=DECFLOAT_Sign; // -0 so far
+ ae=-ae;
+ }
+ #if DOUBLE
+ DFWORD(result, 1)=BIN2DPD[ae]; // a single declet
+ #elif QUAD
+ DFWORD(result, 1)=0;
+ DFWORD(result, 2)=0;
+ DFWORD(result, 3)=(ae/1000)<<10; // is <10, so need no DPD encode
+ DFWORD(result, 3)|=BIN2DPD[ae%1000];
+ #endif
+ return result;
+ } // decFloatLogB
+
+/* ------------------------------------------------------------------ */
+/* decFloatMax -- return maxnum of two operands */
+/* */
+/* result gets the chosen decFloat */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* If just one operand is a quiet NaN it is ignored. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMax(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp;
+ if (DFISNAN(dfl)) {
+ // sNaN or both NaNs leads to normal NaN processing
+ if (DFISNAN(dfr) || DFISSNAN(dfl)) return decNaNs(result, dfl, dfr, set);
+ return decCanonical(result, dfr); // RHS is numeric
+ }
+ if (DFISNAN(dfr)) {
+ // sNaN leads to normal NaN processing (both NaN handled above)
+ if (DFISSNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ return decCanonical(result, dfl); // LHS is numeric
+ }
+ // Both operands are numeric; numeric comparison needed -- use
+ // total order for a well-defined choice (and +0 > -0)
+ comp=decNumCompare(dfl, dfr, 1);
+ if (comp>=0) return decCanonical(result, dfl);
+ return decCanonical(result, dfr);
+ } // decFloatMax
+
+/* ------------------------------------------------------------------ */
+/* decFloatMaxMag -- return maxnummag of two operands */
+/* */
+/* result gets the chosen decFloat */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* Returns according to the magnitude comparisons if both numeric and */
+/* unequal, otherwise returns maxnum */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMaxMag(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp;
+ decFloat absl, absr;
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decFloatMax(result, dfl, dfr, set);
+
+ decFloatCopyAbs(&absl, dfl);
+ decFloatCopyAbs(&absr, dfr);
+ comp=decNumCompare(&absl, &absr, 0);
+ if (comp>0) return decCanonical(result, dfl);
+ if (comp<0) return decCanonical(result, dfr);
+ return decFloatMax(result, dfl, dfr, set);
+ } // decFloatMaxMag
+
+/* ------------------------------------------------------------------ */
+/* decFloatMin -- return minnum of two operands */
+/* */
+/* result gets the chosen decFloat */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* If just one operand is a quiet NaN it is ignored. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMin(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp;
+ if (DFISNAN(dfl)) {
+ // sNaN or both NaNs leads to normal NaN processing
+ if (DFISNAN(dfr) || DFISSNAN(dfl)) return decNaNs(result, dfl, dfr, set);
+ return decCanonical(result, dfr); // RHS is numeric
+ }
+ if (DFISNAN(dfr)) {
+ // sNaN leads to normal NaN processing (both NaN handled above)
+ if (DFISSNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ return decCanonical(result, dfl); // LHS is numeric
+ }
+ // Both operands are numeric; numeric comparison needed -- use
+ // total order for a well-defined choice (and +0 > -0)
+ comp=decNumCompare(dfl, dfr, 1);
+ if (comp<=0) return decCanonical(result, dfl);
+ return decCanonical(result, dfr);
+ } // decFloatMin
+
+/* ------------------------------------------------------------------ */
+/* decFloatMinMag -- return minnummag of two operands */
+/* */
+/* result gets the chosen decFloat */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* Returns according to the magnitude comparisons if both numeric and */
+/* unequal, otherwise returns minnum */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMinMag(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int comp;
+ decFloat absl, absr;
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decFloatMin(result, dfl, dfr, set);
+
+ decFloatCopyAbs(&absl, dfl);
+ decFloatCopyAbs(&absr, dfr);
+ comp=decNumCompare(&absl, &absr, 0);
+ if (comp<0) return decCanonical(result, dfl);
+ if (comp>0) return decCanonical(result, dfr);
+ return decFloatMin(result, dfl, dfr, set);
+ } // decFloatMinMag
+
+/* ------------------------------------------------------------------ */
+/* decFloatMinus -- negate value, heeding NaNs, etc. */
+/* */
+/* result gets the canonicalized 0-df */
+/* df is the decFloat to minus */
+/* set is the context */
+/* returns result */
+/* */
+/* This has the same effect as 0-df where the exponent of the zero is */
+/* the same as that of df (if df is finite). */
+/* The effect is also the same as decFloatCopyNegate except that NaNs */
+/* are handled normally (the sign of a NaN is not affected, and an */
+/* sNaN will signal), the result is canonical, and zero gets sign 0. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMinus(decFloat *result, const decFloat *df,
+ decContext *set) {
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set);
+ decCanonical(result, df); // copy and check
+ if (DFISZERO(df)) DFBYTE(result, 0)&=~0x80; // turn off sign bit
+ else DFBYTE(result, 0)^=0x80; // flip sign bit
+ return result;
+ } // decFloatMinus
+
+/* ------------------------------------------------------------------ */
+/* decFloatMultiply -- multiply two decFloats */
+/* */
+/* result gets the result of multiplying dfl and dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatMultiply(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ bcdnum num; // for final conversion
+ uByte bcdacc[DECPMAX9*18+1]; // for coefficent in BCD
+
+ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr)) { // either is special?
+ // NaNs are handled as usual
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ // infinity times zero is bad
+ if (DFISINF(dfl) && DFISZERO(dfr)) return decInvalid(result, set);
+ if (DFISINF(dfr) && DFISZERO(dfl)) return decInvalid(result, set);
+ // both infinite; return canonical infinity with computed sign
+ DFWORD(result, 0)=DFWORD(dfl, 0)^DFWORD(dfr, 0); // compute sign
+ return decInfinity(result, result);
+ }
+
+ /* Here when both operands are finite */
+ decFiniteMultiply(&num, bcdacc, dfl, dfr);
+ return decFinalize(result, &num, set); // round, check, and lay out
+ } // decFloatMultiply
+
+/* ------------------------------------------------------------------ */
+/* decFloatNextMinus -- next towards -Infinity */
+/* */
+/* result gets the next lesser decFloat */
+/* dfl is the decFloat to start with */
+/* set is the context */
+/* returns result */
+/* */
+/* This is 754 nextdown; Invalid is the only status possible (from */
+/* an sNaN). */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatNextMinus(decFloat *result, const decFloat *dfl,
+ decContext *set) {
+ decFloat delta; // tiny increment
+ uInt savestat; // saves status
+ enum rounding saveround; // .. and mode
+
+ // +Infinity is the special case
+ if (DFISINF(dfl) && !DFISSIGNED(dfl)) {
+ DFSETNMAX(result);
+ return result; // [no status to set]
+ }
+ // other cases are effected by sutracting a tiny delta -- this
+ // should be done in a wider format as the delta is unrepresentable
+ // here (but can be done with normal add if the sign of zero is
+ // treated carefully, because no Inexactitude is interesting);
+ // rounding to -Infinity then pushes the result to next below
+ decFloatZero(&delta); // set up tiny delta
+ DFWORD(&delta, DECWORDS-1)=1; // coefficient=1
+ DFWORD(&delta, 0)=DECFLOAT_Sign; // Sign=1 + biased exponent=0
+ // set up for the directional round
+ saveround=set->round; // save mode
+ set->round=DEC_ROUND_FLOOR; // .. round towards -Infinity
+ savestat=set->status; // save status
+ decFloatAdd(result, dfl, &delta, set);
+ // Add rules mess up the sign when going from +Ntiny to 0
+ if (DFISZERO(result)) DFWORD(result, 0)^=DECFLOAT_Sign; // correct
+ set->status&=DEC_Invalid_operation; // preserve only sNaN status
+ set->status|=savestat; // restore pending flags
+ set->round=saveround; // .. and mode
+ return result;
+ } // decFloatNextMinus
+
+/* ------------------------------------------------------------------ */
+/* decFloatNextPlus -- next towards +Infinity */
+/* */
+/* result gets the next larger decFloat */
+/* dfl is the decFloat to start with */
+/* set is the context */
+/* returns result */
+/* */
+/* This is 754 nextup; Invalid is the only status possible (from */
+/* an sNaN). */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatNextPlus(decFloat *result, const decFloat *dfl,
+ decContext *set) {
+ uInt savestat; // saves status
+ enum rounding saveround; // .. and mode
+ decFloat delta; // tiny increment
+
+ // -Infinity is the special case
+ if (DFISINF(dfl) && DFISSIGNED(dfl)) {
+ DFSETNMAX(result);
+ DFWORD(result, 0)|=DECFLOAT_Sign; // make negative
+ return result; // [no status to set]
+ }
+ // other cases are effected by sutracting a tiny delta -- this
+ // should be done in a wider format as the delta is unrepresentable
+ // here (but can be done with normal add if the sign of zero is
+ // treated carefully, because no Inexactitude is interesting);
+ // rounding to +Infinity then pushes the result to next above
+ decFloatZero(&delta); // set up tiny delta
+ DFWORD(&delta, DECWORDS-1)=1; // coefficient=1
+ DFWORD(&delta, 0)=0; // Sign=0 + biased exponent=0
+ // set up for the directional round
+ saveround=set->round; // save mode
+ set->round=DEC_ROUND_CEILING; // .. round towards +Infinity
+ savestat=set->status; // save status
+ decFloatAdd(result, dfl, &delta, set);
+ // Add rules mess up the sign when going from -Ntiny to -0
+ if (DFISZERO(result)) DFWORD(result, 0)^=DECFLOAT_Sign; // correct
+ set->status&=DEC_Invalid_operation; // preserve only sNaN status
+ set->status|=savestat; // restore pending flags
+ set->round=saveround; // .. and mode
+ return result;
+ } // decFloatNextPlus
+
+/* ------------------------------------------------------------------ */
+/* decFloatNextToward -- next towards a decFloat */
+/* */
+/* result gets the next decFloat */
+/* dfl is the decFloat to start with */
+/* dfr is the decFloat to move toward */
+/* set is the context */
+/* returns result */
+/* */
+/* This is 754-1985 nextafter, as modified during revision (dropped */
+/* from 754-2008); status may be set unless the result is a normal */
+/* number. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatNextToward(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ decFloat delta; // tiny increment or decrement
+ decFloat pointone; // 1e-1
+ uInt savestat; // saves status
+ enum rounding saveround; // .. and mode
+ uInt deltatop; // top word for delta
+ Int comp; // work
+
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ // Both are numeric, so Invalid no longer a possibility
+ comp=decNumCompare(dfl, dfr, 0);
+ if (comp==0) return decFloatCopySign(result, dfl, dfr); // equal
+ // unequal; do NextPlus or NextMinus but with different status rules
+
+ if (comp<0) { // lhsround; // save mode
+ set->round=DEC_ROUND_CEILING; // .. round towards +Infinity
+ deltatop=0; // positive delta
+ }
+ else { // lhs>rhs, do NextMinus, see above for commentary
+ if (DFISINF(dfl) && !DFISSIGNED(dfl)) { // +Infinity special case
+ DFSETNMAX(result);
+ return result;
+ }
+ saveround=set->round; // save mode
+ set->round=DEC_ROUND_FLOOR; // .. round towards -Infinity
+ deltatop=DECFLOAT_Sign; // negative delta
+ }
+ savestat=set->status; // save status
+ // Here, Inexact is needed where appropriate (and hence Underflow,
+ // etc.). Therefore the tiny delta which is otherwise
+ // unrepresentable (see NextPlus and NextMinus) is constructed
+ // using the multiplication of FMA.
+ decFloatZero(&delta); // set up tiny delta
+ DFWORD(&delta, DECWORDS-1)=1; // coefficient=1
+ DFWORD(&delta, 0)=deltatop; // Sign + biased exponent=0
+ decFloatFromString(&pointone, "1E-1", set); // set up multiplier
+ decFloatFMA(result, &delta, &pointone, dfl, set);
+ // [Delta is truly tiny, so no need to correct sign of zero]
+ // use new status unless the result is normal
+ if (decFloatIsNormal(result)) set->status=savestat; // else goes forward
+ set->round=saveround; // restore mode
+ return result;
+ } // decFloatNextToward
+
+/* ------------------------------------------------------------------ */
+/* decFloatOr -- logical digitwise OR of two decFloats */
+/* */
+/* result gets the result of ORing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result, which will be canonical with sign=0 */
+/* */
+/* The operands must be positive, finite with exponent q=0, and */
+/* comprise just zeros and ones; if not, Invalid operation results. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatOr(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ if (!DFISUINT01(dfl) || !DFISUINT01(dfr)
+ || !DFISCC01(dfl) || !DFISCC01(dfr)) return decInvalid(result, set);
+ // the operands are positive finite integers (q=0) with just 0s and 1s
+ #if DOUBLE
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) | DFWORD(dfr, 0))&0x04009124);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) | DFWORD(dfr, 1))&0x49124491;
+ #elif QUAD
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) | DFWORD(dfr, 0))&0x04000912);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) | DFWORD(dfr, 1))&0x44912449;
+ DFWORD(result, 2)=(DFWORD(dfl, 2) | DFWORD(dfr, 2))&0x12449124;
+ DFWORD(result, 3)=(DFWORD(dfl, 3) | DFWORD(dfr, 3))&0x49124491;
+ #endif
+ return result;
+ } // decFloatOr
+
+/* ------------------------------------------------------------------ */
+/* decFloatPlus -- add value to 0, heeding NaNs, etc. */
+/* */
+/* result gets the canonicalized 0+df */
+/* df is the decFloat to plus */
+/* set is the context */
+/* returns result */
+/* */
+/* This has the same effect as 0+df where the exponent of the zero is */
+/* the same as that of df (if df is finite). */
+/* The effect is also the same as decFloatCopy except that NaNs */
+/* are handled normally (the sign of a NaN is not affected, and an */
+/* sNaN will signal), the result is canonical, and zero gets sign 0. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatPlus(decFloat *result, const decFloat *df,
+ decContext *set) {
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set);
+ decCanonical(result, df); // copy and check
+ if (DFISZERO(df)) DFBYTE(result, 0)&=~0x80; // turn off sign bit
+ return result;
+ } // decFloatPlus
+
+/* ------------------------------------------------------------------ */
+/* decFloatQuantize -- quantize a decFloat */
+/* */
+/* result gets the result of quantizing dfl to match dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs), which sets the exponent */
+/* set is the context */
+/* returns result */
+/* */
+/* Unless there is an error or the result is infinite, the exponent */
+/* of result is guaranteed to be the same as that of dfr. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatQuantize(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int explb, exprb; // left and right biased exponents
+ uByte *ulsd; // local LSD pointer
+ uByte *ub, *uc; // work
+ Int drop; // ..
+ uInt dpd; // ..
+ uInt encode; // encoding accumulator
+ uInt sourhil, sourhir; // top words from source decFloats
+ uInt uiwork; // for macros
+ #if QUAD
+ uShort uswork; // ..
+ #endif
+ // the following buffer holds the coefficient for manipulation
+ uByte buf[4+DECPMAX*3+2*QUAD]; // + space for zeros to left or right
+ #if DECTRACE
+ bcdnum num; // for trace displays
+ #endif
+
+ /* Start decoding the arguments */
+ sourhil=DFWORD(dfl, 0); // LHS top word
+ explb=DECCOMBEXP[sourhil>>26]; // get exponent high bits (in place)
+ sourhir=DFWORD(dfr, 0); // RHS top word
+ exprb=DECCOMBEXP[sourhir>>26];
+
+ if (EXPISSPECIAL(explb | exprb)) { // either is special?
+ // NaNs are handled as usual
+ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ // one infinity but not both is bad
+ if (DFISINF(dfl)!=DFISINF(dfr)) return decInvalid(result, set);
+ // both infinite; return canonical infinity with sign of LHS
+ return decInfinity(result, dfl);
+ }
+
+ /* Here when both arguments are finite */
+ // complete extraction of the exponents [no need to unbias]
+ explb+=GETECON(dfl); // + continuation
+ exprb+=GETECON(dfr); // ..
+
+ // calculate the number of digits to drop from the coefficient
+ drop=exprb-explb; // 0 if nothing to do
+ if (drop==0) return decCanonical(result, dfl); // return canonical
+
+ // the coefficient is needed; lay it out into buf, offset so zeros
+ // can be added before or after as needed -- an extra heading is
+ // added so can safely pad Quad DECPMAX-1 zeros to the left by
+ // fours
+ #define BUFOFF (buf+4+DECPMAX)
+ GETCOEFF(dfl, BUFOFF); // decode from decFloat
+ // [now the msd is at BUFOFF and the lsd is at BUFOFF+DECPMAX-1]
+
+ #if DECTRACE
+ num.msd=BUFOFF;
+ num.lsd=BUFOFF+DECPMAX-1;
+ num.exponent=explb-DECBIAS;
+ num.sign=sourhil & DECFLOAT_Sign;
+ decShowNum(&num, "dfl");
+ #endif
+
+ if (drop>0) { // [most common case]
+ // (this code is very similar to that in decFloatFinalize, but
+ // has many differences so is duplicated here -- so any changes
+ // may need to be made there, too)
+ uByte *roundat; // -> re-round digit
+ uByte reround; // reround value
+ // printf("Rounding; drop=%ld\n", (LI)drop);
+
+ // there is at least one zero needed to the left, in all but one
+ // exceptional (all-nines) case, so place four zeros now; this is
+ // needed almost always and makes rounding all-nines by fours safe
+ UBFROMUI(BUFOFF-4, 0);
+
+ // Three cases here:
+ // 1. new LSD is in coefficient (almost always)
+ // 2. new LSD is digit to left of coefficient (so MSD is
+ // round-for-reround digit)
+ // 3. new LSD is to left of case 2 (whole coefficient is sticky)
+ // Note that leading zeros can safely be treated as useful digits
+
+ // [duplicate check-stickies code to save a test]
+ // [by-digit check for stickies as runs of zeros are rare]
+ if (dropstatus|=DEC_Inexact;
+
+ // next decide whether to increment the coefficient
+ if (set->round==DEC_ROUND_HALF_EVEN) { // fastpath slowest case
+ if (reround>5) bump=1; // >0.5 goes up
+ else if (reround==5) // exactly 0.5000 ..
+ bump=*ulsd & 0x01; // .. up iff [new] lsd is odd
+ } // r-h-e
+ else switch (set->round) {
+ case DEC_ROUND_DOWN: {
+ // no change
+ break;} // r-d
+ case DEC_ROUND_HALF_DOWN: {
+ if (reround>5) bump=1;
+ break;} // r-h-d
+ case DEC_ROUND_HALF_UP: {
+ if (reround>=5) bump=1;
+ break;} // r-h-u
+ case DEC_ROUND_UP: {
+ if (reround>0) bump=1;
+ break;} // r-u
+ case DEC_ROUND_CEILING: {
+ // same as _UP for positive numbers, and as _DOWN for negatives
+ if (!(sourhil&DECFLOAT_Sign) && reround>0) bump=1;
+ break;} // r-c
+ case DEC_ROUND_FLOOR: {
+ // same as _UP for negative numbers, and as _DOWN for positive
+ // [negative reround cannot occur on 0]
+ if (sourhil&DECFLOAT_Sign && reround>0) bump=1;
+ break;} // r-f
+ case DEC_ROUND_05UP: {
+ if (reround>0) { // anything out there is 'sticky'
+ // bump iff lsd=0 or 5; this cannot carry so it could be
+ // effected immediately with no bump -- but the code
+ // is clearer if this is done the same way as the others
+ if (*ulsd==0 || *ulsd==5) bump=1;
+ }
+ break;} // r-r
+ default: { // e.g., DEC_ROUND_MAX
+ set->status|=DEC_Invalid_context;
+ #if DECCHECK
+ printf("Unknown rounding mode: %ld\n", (LI)set->round);
+ #endif
+ break;}
+ } // switch (not r-h-e)
+ // printf("ReRound: %ld bump: %ld\n", (LI)reround, (LI)bump);
+
+ if (bump!=0) { // need increment
+ // increment the coefficient; this could give 1000... (after
+ // the all nines case)
+ ub=ulsd;
+ for (; UBTOUI(ub-3)==0x09090909; ub-=4) UBFROMUI(ub-3, 0);
+ // now at most 3 digits left to non-9 (usually just the one)
+ for (; *ub==9; ub--) *ub=0;
+ *ub+=1;
+ // [the all-nines case will have carried one digit to the
+ // left of the original MSD -- just where it is needed]
+ } // bump needed
+ } // inexact rounding
+
+ // now clear zeros to the left so exactly DECPMAX digits will be
+ // available in the coefficent -- the first word to the left was
+ // cleared earlier for safe carry; now add any more needed
+ if (drop>4) {
+ UBFROMUI(BUFOFF-8, 0); // must be at least 5
+ for (uc=BUFOFF-12; uc>ulsd-DECPMAX-3; uc-=4) UBFROMUI(uc, 0);
+ }
+ } // need round (drop>0)
+
+ else { // drop<0; padding with -drop digits is needed
+ // This is the case where an error can occur if the padded
+ // coefficient will not fit; checking for this can be done in the
+ // same loop as padding for zeros if the no-hope and zero cases
+ // are checked first
+ if (-drop>DECPMAX-1) { // cannot fit unless 0
+ if (!ISCOEFFZERO(BUFOFF)) return decInvalid(result, set);
+ // a zero can have any exponent; just drop through and use it
+ ulsd=BUFOFF+DECPMAX-1;
+ }
+ else { // padding will fit (but may still be too long)
+ // final-word mask depends on endianess
+ #if DECLITEND
+ static const uInt dmask[]={0, 0x000000ff, 0x0000ffff, 0x00ffffff};
+ #else
+ static const uInt dmask[]={0, 0xff000000, 0xffff0000, 0xffffff00};
+ #endif
+ // note that here zeros to the right are added by fours, so in
+ // the Quad case this could write 36 zeros if the coefficient has
+ // fewer than three significant digits (hence the +2*QUAD for buf)
+ for (uc=BUFOFF+DECPMAX;; uc+=4) {
+ UBFROMUI(uc, 0);
+ if (UBTOUI(uc-DECPMAX)!=0) { // could be bad
+ // if all four digits should be zero, definitely bad
+ if (uc<=BUFOFF+DECPMAX+(-drop)-4)
+ return decInvalid(result, set);
+ // must be a 1- to 3-digit sequence; check more carefully
+ if ((UBTOUI(uc-DECPMAX)&dmask[(-drop)%4])!=0)
+ return decInvalid(result, set);
+ break; // no need for loop end test
+ }
+ if (uc>=BUFOFF+DECPMAX+(-drop)-4) break; // done
+ }
+ ulsd=BUFOFF+DECPMAX+(-drop)-1;
+ } // pad and check leading zeros
+ } // drop<0
+
+ #if DECTRACE
+ num.msd=ulsd-DECPMAX+1;
+ num.lsd=ulsd;
+ num.exponent=explb-DECBIAS;
+ num.sign=sourhil & DECFLOAT_Sign;
+ decShowNum(&num, "res");
+ #endif
+
+ /*------------------------------------------------------------------*/
+ /* At this point the result is DECPMAX digits, ending at ulsd, so */
+ /* fits the encoding exactly; there is no possibility of error */
+ /*------------------------------------------------------------------*/
+ encode=((exprb>>DECECONL)<<4) + *(ulsd-DECPMAX+1); // make index
+ encode=DECCOMBFROM[encode]; // indexed by (0-2)*16+msd
+ // the exponent continuation can be extracted from the original RHS
+ encode|=sourhir & ECONMASK;
+ encode|=sourhil&DECFLOAT_Sign; // add the sign from LHS
+
+ // finally encode the coefficient
+ // private macro to encode a declet; this version can be used
+ // because all coefficient digits exist
+ #define getDPD3q(dpd, n) ub=ulsd-(3*(n))-2; \
+ dpd=BCD2DPD[(*ub*256)+(*(ub+1)*16)+*(ub+2)];
+
+ #if DOUBLE
+ getDPD3q(dpd, 4); encode|=dpd<<8;
+ getDPD3q(dpd, 3); encode|=dpd>>2;
+ DFWORD(result, 0)=encode;
+ encode=dpd<<30;
+ getDPD3q(dpd, 2); encode|=dpd<<20;
+ getDPD3q(dpd, 1); encode|=dpd<<10;
+ getDPD3q(dpd, 0); encode|=dpd;
+ DFWORD(result, 1)=encode;
+
+ #elif QUAD
+ getDPD3q(dpd,10); encode|=dpd<<4;
+ getDPD3q(dpd, 9); encode|=dpd>>6;
+ DFWORD(result, 0)=encode;
+ encode=dpd<<26;
+ getDPD3q(dpd, 8); encode|=dpd<<16;
+ getDPD3q(dpd, 7); encode|=dpd<<6;
+ getDPD3q(dpd, 6); encode|=dpd>>4;
+ DFWORD(result, 1)=encode;
+ encode=dpd<<28;
+ getDPD3q(dpd, 5); encode|=dpd<<18;
+ getDPD3q(dpd, 4); encode|=dpd<<8;
+ getDPD3q(dpd, 3); encode|=dpd>>2;
+ DFWORD(result, 2)=encode;
+ encode=dpd<<30;
+ getDPD3q(dpd, 2); encode|=dpd<<20;
+ getDPD3q(dpd, 1); encode|=dpd<<10;
+ getDPD3q(dpd, 0); encode|=dpd;
+ DFWORD(result, 3)=encode;
+ #endif
+ return result;
+ } // decFloatQuantize
+
+/* ------------------------------------------------------------------ */
+/* decFloatReduce -- reduce finite coefficient to minimum length */
+/* */
+/* result gets the reduced decFloat */
+/* df is the source decFloat */
+/* set is the context */
+/* returns result, which will be canonical */
+/* */
+/* This removes all possible trailing zeros from the coefficient; */
+/* some may remain when the number is very close to Nmax. */
+/* Special values are unchanged and no status is set unless df=sNaN. */
+/* Reduced zero has an exponent q=0. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatReduce(decFloat *result, const decFloat *df,
+ decContext *set) {
+ bcdnum num; // work
+ uByte buf[DECPMAX], *ub; // coefficient and pointer
+ if (df!=result) *result=*df; // copy, if needed
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set); // sNaN
+ // zeros and infinites propagate too
+ if (DFISINF(df)) return decInfinity(result, df); // canonical
+ if (DFISZERO(df)) {
+ uInt sign=DFWORD(df, 0)&DECFLOAT_Sign;
+ decFloatZero(result);
+ DFWORD(result, 0)|=sign;
+ return result; // exponent dropped, sign OK
+ }
+ // non-zero finite
+ GETCOEFF(df, buf);
+ ub=buf+DECPMAX-1; // -> lsd
+ if (*ub) return result; // no trailing zeros
+ for (ub--; *ub==0;) ub--; // terminates because non-zero
+ // *ub is the first non-zero from the right
+ num.sign=DFWORD(df, 0)&DECFLOAT_Sign; // set up number...
+ num.exponent=GETEXPUN(df)+(Int)(buf+DECPMAX-1-ub); // adjusted exponent
+ num.msd=buf;
+ num.lsd=ub;
+ return decFinalize(result, &num, set);
+ } // decFloatReduce
+
+/* ------------------------------------------------------------------ */
+/* decFloatRemainder -- integer divide and return remainder */
+/* */
+/* result gets the remainder of dividing dfl by dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatRemainder(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ return decDivide(result, dfl, dfr, set, REMAINDER);
+ } // decFloatRemainder
+
+/* ------------------------------------------------------------------ */
+/* decFloatRemainderNear -- integer divide to nearest and remainder */
+/* */
+/* result gets the remainder of dividing dfl by dfr: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* This is the IEEE remainder, where the nearest integer is used. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatRemainderNear(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ return decDivide(result, dfl, dfr, set, REMNEAR);
+ } // decFloatRemainderNear
+
+/* ------------------------------------------------------------------ */
+/* decFloatRotate -- rotate the coefficient of a decFloat left/right */
+/* */
+/* result gets the result of rotating dfl */
+/* dfl is the source decFloat to rotate */
+/* dfr is the count of digits to rotate, an integer (with q=0) */
+/* set is the context */
+/* returns result */
+/* */
+/* The digits of the coefficient of dfl are rotated to the left (if */
+/* dfr is positive) or to the right (if dfr is negative) without */
+/* adjusting the exponent or the sign of dfl. */
+/* */
+/* dfr must be in the range -DECPMAX through +DECPMAX. */
+/* NaNs are propagated as usual. An infinite dfl is unaffected (but */
+/* dfr must be valid). No status is set unless dfr is invalid or an */
+/* operand is an sNaN. The result is canonical. */
+/* ------------------------------------------------------------------ */
+#define PHALF (ROUNDUP(DECPMAX/2, 4)) // half length, rounded up
+decFloat * decFloatRotate(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int rotate; // dfr as an Int
+ uByte buf[DECPMAX+PHALF]; // coefficient + half
+ uInt digits, savestat; // work
+ bcdnum num; // ..
+ uByte *ub; // ..
+
+ if (DFISNAN(dfl)||DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ if (!DFISINT(dfr)) return decInvalid(result, set);
+ digits=decFloatDigits(dfr); // calculate digits
+ if (digits>2) return decInvalid(result, set); // definitely out of range
+ rotate=DPD2BIN[DFWORD(dfr, DECWORDS-1)&0x3ff]; // is in bottom declet
+ if (rotate>DECPMAX) return decInvalid(result, set); // too big
+ // [from here on no error or status change is possible]
+ if (DFISINF(dfl)) return decInfinity(result, dfl); // canonical
+ // handle no-rotate cases
+ if (rotate==0 || rotate==DECPMAX) return decCanonical(result, dfl);
+ // a real rotate is needed: 0 < rotate < DECPMAX
+ // reduce the rotation to no more than half to reduce copying later
+ // (for QUAD in fact half + 2 digits)
+ if (DFISSIGNED(dfr)) rotate=-rotate;
+ if (abs(rotate)>PHALF) {
+ if (rotate<0) rotate=DECPMAX+rotate;
+ else rotate=rotate-DECPMAX;
+ }
+ // now lay out the coefficient, leaving room to the right or the
+ // left depending on the direction of rotation
+ ub=buf;
+ if (rotate<0) ub+=PHALF; // rotate right, so space to left
+ GETCOEFF(dfl, ub);
+ // copy half the digits to left or right, and set num.msd
+ if (rotate<0) {
+ memcpy(buf, buf+DECPMAX, PHALF);
+ num.msd=buf+PHALF+rotate;
+ }
+ else {
+ memcpy(buf+DECPMAX, buf, PHALF);
+ num.msd=buf+rotate;
+ }
+ // fill in rest of num
+ num.lsd=num.msd+DECPMAX-1;
+ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign;
+ num.exponent=GETEXPUN(dfl);
+ savestat=set->status; // record
+ decFinalize(result, &num, set);
+ set->status=savestat; // restore
+ return result;
+ } // decFloatRotate
+
+/* ------------------------------------------------------------------ */
+/* decFloatSameQuantum -- test decFloats for same quantum */
+/* */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* returns 1 if the operands have the same quantum, 0 otherwise */
+/* */
+/* No error is possible and no status results. */
+/* ------------------------------------------------------------------ */
+uInt decFloatSameQuantum(const decFloat *dfl, const decFloat *dfr) {
+ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr)) {
+ if (DFISNAN(dfl) && DFISNAN(dfr)) return 1;
+ if (DFISINF(dfl) && DFISINF(dfr)) return 1;
+ return 0; // any other special mixture gives false
+ }
+ if (GETEXP(dfl)==GETEXP(dfr)) return 1; // biased exponents match
+ return 0;
+ } // decFloatSameQuantum
+
+/* ------------------------------------------------------------------ */
+/* decFloatScaleB -- multiply by a power of 10, as per 754 */
+/* */
+/* result gets the result of the operation */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs), am integer (with q=0) */
+/* set is the context */
+/* returns result */
+/* */
+/* This computes result=dfl x 10**dfr where dfr is an integer in the */
+/* range +/-2*(emax+pmax), typically resulting from LogB. */
+/* Underflow and Overflow (with Inexact) may occur. NaNs propagate */
+/* as usual. */
+/* ------------------------------------------------------------------ */
+#define SCALEBMAX 2*(DECEMAX+DECPMAX) // D=800, Q=12356
+decFloat * decFloatScaleB(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ uInt digits; // work
+ Int expr; // dfr as an Int
+
+ if (DFISNAN(dfl)||DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ if (!DFISINT(dfr)) return decInvalid(result, set);
+ digits=decFloatDigits(dfr); // calculate digits
+
+ #if DOUBLE
+ if (digits>3) return decInvalid(result, set); // definitely out of range
+ expr=DPD2BIN[DFWORD(dfr, 1)&0x3ff]; // must be in bottom declet
+ #elif QUAD
+ if (digits>5) return decInvalid(result, set); // definitely out of range
+ expr=DPD2BIN[DFWORD(dfr, 3)&0x3ff] // in bottom 2 declets ..
+ +DPD2BIN[(DFWORD(dfr, 3)>>10)&0x3ff]*1000; // ..
+ #endif
+ if (expr>SCALEBMAX) return decInvalid(result, set); // oops
+ // [from now on no error possible]
+ if (DFISINF(dfl)) return decInfinity(result, dfl); // canonical
+ if (DFISSIGNED(dfr)) expr=-expr;
+ // dfl is finite and expr is valid
+ *result=*dfl; // copy to target
+ return decFloatSetExponent(result, set, GETEXPUN(result)+expr);
+ } // decFloatScaleB
+
+/* ------------------------------------------------------------------ */
+/* decFloatShift -- shift the coefficient of a decFloat left or right */
+/* */
+/* result gets the result of shifting dfl */
+/* dfl is the source decFloat to shift */
+/* dfr is the count of digits to shift, an integer (with q=0) */
+/* set is the context */
+/* returns result */
+/* */
+/* The digits of the coefficient of dfl are shifted to the left (if */
+/* dfr is positive) or to the right (if dfr is negative) without */
+/* adjusting the exponent or the sign of dfl. */
+/* */
+/* dfr must be in the range -DECPMAX through +DECPMAX. */
+/* NaNs are propagated as usual. An infinite dfl is unaffected (but */
+/* dfr must be valid). No status is set unless dfr is invalid or an */
+/* operand is an sNaN. The result is canonical. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatShift(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ Int shift; // dfr as an Int
+ uByte buf[DECPMAX*2]; // coefficient + padding
+ uInt digits, savestat; // work
+ bcdnum num; // ..
+ uInt uiwork; // for macros
+
+ if (DFISNAN(dfl)||DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set);
+ if (!DFISINT(dfr)) return decInvalid(result, set);
+ digits=decFloatDigits(dfr); // calculate digits
+ if (digits>2) return decInvalid(result, set); // definitely out of range
+ shift=DPD2BIN[DFWORD(dfr, DECWORDS-1)&0x3ff]; // is in bottom declet
+ if (shift>DECPMAX) return decInvalid(result, set); // too big
+ // [from here on no error or status change is possible]
+
+ if (DFISINF(dfl)) return decInfinity(result, dfl); // canonical
+ // handle no-shift and all-shift (clear to zero) cases
+ if (shift==0) return decCanonical(result, dfl);
+ if (shift==DECPMAX) { // zero with sign
+ uByte sign=(uByte)(DFBYTE(dfl, 0)&0x80); // save sign bit
+ decFloatZero(result); // make +0
+ DFBYTE(result, 0)=(uByte)(DFBYTE(result, 0)|sign); // and set sign
+ // [cannot safely use CopySign]
+ return result;
+ }
+ // a real shift is needed: 0 < shift < DECPMAX
+ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign;
+ num.exponent=GETEXPUN(dfl);
+ num.msd=buf;
+ GETCOEFF(dfl, buf);
+ if (DFISSIGNED(dfr)) { // shift right
+ // edge cases are taken care of, so this is easy
+ num.lsd=buf+DECPMAX-shift-1;
+ }
+ else { // shift left -- zero padding needed to right
+ UBFROMUI(buf+DECPMAX, 0); // 8 will handle most cases
+ UBFROMUI(buf+DECPMAX+4, 0); // ..
+ if (shift>8) memset(buf+DECPMAX+8, 0, 8+QUAD*18); // all other cases
+ num.msd+=shift;
+ num.lsd=num.msd+DECPMAX-1;
+ }
+ savestat=set->status; // record
+ decFinalize(result, &num, set);
+ set->status=savestat; // restore
+ return result;
+ } // decFloatShift
+
+/* ------------------------------------------------------------------ */
+/* decFloatSubtract -- subtract a decFloat from another */
+/* */
+/* result gets the result of subtracting dfr from dfl: */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result */
+/* */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatSubtract(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ decFloat temp;
+ // NaNs must propagate without sign change
+ if (DFISNAN(dfr)) return decFloatAdd(result, dfl, dfr, set);
+ temp=*dfr; // make a copy
+ DFBYTE(&temp, 0)^=0x80; // flip sign
+ return decFloatAdd(result, dfl, &temp, set); // and add to the lhs
+ } // decFloatSubtract
+
+/* ------------------------------------------------------------------ */
+/* decFloatToInt -- round to 32-bit binary integer (4 flavours) */
+/* */
+/* df is the decFloat to round */
+/* set is the context */
+/* round is the rounding mode to use */
+/* returns a uInt or an Int, rounded according to the name */
+/* */
+/* Invalid will always be signaled if df is a NaN, is Infinite, or is */
+/* outside the range of the target; Inexact will not be signaled for */
+/* simple rounding unless 'Exact' appears in the name. */
+/* ------------------------------------------------------------------ */
+uInt decFloatToUInt32(const decFloat *df, decContext *set,
+ enum rounding round) {
+ return decToInt32(df, set, round, 0, 1);}
+
+uInt decFloatToUInt32Exact(const decFloat *df, decContext *set,
+ enum rounding round) {
+ return decToInt32(df, set, round, 1, 1);}
+
+Int decFloatToInt32(const decFloat *df, decContext *set,
+ enum rounding round) {
+ return (Int)decToInt32(df, set, round, 0, 0);}
+
+Int decFloatToInt32Exact(const decFloat *df, decContext *set,
+ enum rounding round) {
+ return (Int)decToInt32(df, set, round, 1, 0);}
+
+/* ------------------------------------------------------------------ */
+/* decFloatToIntegral -- round to integral value (two flavours) */
+/* */
+/* result gets the result */
+/* df is the decFloat to round */
+/* set is the context */
+/* round is the rounding mode to use */
+/* returns result */
+/* */
+/* No exceptions, even Inexact, are raised except for sNaN input, or */
+/* if 'Exact' appears in the name. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatToIntegralValue(decFloat *result, const decFloat *df,
+ decContext *set, enum rounding round) {
+ return decToIntegral(result, df, set, round, 0);}
+
+decFloat * decFloatToIntegralExact(decFloat *result, const decFloat *df,
+ decContext *set) {
+ return decToIntegral(result, df, set, set->round, 1);}
+
+/* ------------------------------------------------------------------ */
+/* decFloatXor -- logical digitwise XOR of two decFloats */
+/* */
+/* result gets the result of XORing dfl and dfr */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) */
+/* set is the context */
+/* returns result, which will be canonical with sign=0 */
+/* */
+/* The operands must be positive, finite with exponent q=0, and */
+/* comprise just zeros and ones; if not, Invalid operation results. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatXor(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ if (!DFISUINT01(dfl) || !DFISUINT01(dfr)
+ || !DFISCC01(dfl) || !DFISCC01(dfr)) return decInvalid(result, set);
+ // the operands are positive finite integers (q=0) with just 0s and 1s
+ #if DOUBLE
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) ^ DFWORD(dfr, 0))&0x04009124);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) ^ DFWORD(dfr, 1))&0x49124491;
+ #elif QUAD
+ DFWORD(result, 0)=ZEROWORD
+ |((DFWORD(dfl, 0) ^ DFWORD(dfr, 0))&0x04000912);
+ DFWORD(result, 1)=(DFWORD(dfl, 1) ^ DFWORD(dfr, 1))&0x44912449;
+ DFWORD(result, 2)=(DFWORD(dfl, 2) ^ DFWORD(dfr, 2))&0x12449124;
+ DFWORD(result, 3)=(DFWORD(dfl, 3) ^ DFWORD(dfr, 3))&0x49124491;
+ #endif
+ return result;
+ } // decFloatXor
+
+/* ------------------------------------------------------------------ */
+/* decInvalid -- set Invalid_operation result */
+/* */
+/* result gets a canonical NaN */
+/* set is the context */
+/* returns result */
+/* */
+/* status has Invalid_operation added */
+/* ------------------------------------------------------------------ */
+static decFloat *decInvalid(decFloat *result, decContext *set) {
+ decFloatZero(result);
+ DFWORD(result, 0)=DECFLOAT_qNaN;
+ set->status|=DEC_Invalid_operation;
+ return result;
+ } // decInvalid
+
+/* ------------------------------------------------------------------ */
+/* decInfinity -- set canonical Infinity with sign from a decFloat */
+/* */
+/* result gets a canonical Infinity */
+/* df is source decFloat (only the sign is used) */
+/* returns result */
+/* */
+/* df may be the same as result */
+/* ------------------------------------------------------------------ */
+static decFloat *decInfinity(decFloat *result, const decFloat *df) {
+ uInt sign=DFWORD(df, 0); // save source signword
+ decFloatZero(result); // clear everything
+ DFWORD(result, 0)=DECFLOAT_Inf | (sign & DECFLOAT_Sign);
+ return result;
+ } // decInfinity
+
+/* ------------------------------------------------------------------ */
+/* decNaNs -- handle NaN argument(s) */
+/* */
+/* result gets the result of handling dfl and dfr, one or both of */
+/* which is a NaN */
+/* dfl is the first decFloat (lhs) */
+/* dfr is the second decFloat (rhs) -- may be NULL for a single- */
+/* operand operation */
+/* set is the context */
+/* returns result */
+/* */
+/* Called when one or both operands is a NaN, and propagates the */
+/* appropriate result to res. When an sNaN is found, it is changed */
+/* to a qNaN and Invalid operation is set. */
+/* ------------------------------------------------------------------ */
+static decFloat *decNaNs(decFloat *result,
+ const decFloat *dfl, const decFloat *dfr,
+ decContext *set) {
+ // handle sNaNs first
+ if (dfr!=NULL && DFISSNAN(dfr) && !DFISSNAN(dfl)) dfl=dfr; // use RHS
+ if (DFISSNAN(dfl)) {
+ decCanonical(result, dfl); // propagate canonical sNaN
+ DFWORD(result, 0)&=~(DECFLOAT_qNaN ^ DECFLOAT_sNaN); // quiet
+ set->status|=DEC_Invalid_operation;
+ return result;
+ }
+ // one or both is a quiet NaN
+ if (!DFISNAN(dfl)) dfl=dfr; // RHS must be NaN, use it
+ return decCanonical(result, dfl); // propagate canonical qNaN
+ } // decNaNs
+
+/* ------------------------------------------------------------------ */
+/* decNumCompare -- numeric comparison of two decFloats */
+/* */
+/* dfl is the left-hand decFloat, which is not a NaN */
+/* dfr is the right-hand decFloat, which is not a NaN */
+/* tot is 1 for total order compare, 0 for simple numeric */
+/* returns -1, 0, or +1 for dfldfr */
+/* */
+/* No error is possible; status and mode are unchanged. */
+/* ------------------------------------------------------------------ */
+static Int decNumCompare(const decFloat *dfl, const decFloat *dfr, Flag tot) {
+ Int sigl, sigr; // LHS and RHS non-0 signums
+ Int shift; // shift needed to align operands
+ uByte *ub, *uc; // work
+ uInt uiwork; // for macros
+ // buffers +2 if Quad (36 digits), need double plus 4 for safe padding
+ uByte bufl[DECPMAX*2+QUAD*2+4]; // for LHS coefficient + padding
+ uByte bufr[DECPMAX*2+QUAD*2+4]; // for RHS coefficient + padding
+
+ sigl=1;
+ if (DFISSIGNED(dfl)) {
+ if (!DFISSIGNED(dfr)) { // -LHS +RHS
+ if (DFISZERO(dfl) && DFISZERO(dfr) && !tot) return 0;
+ return -1; // RHS wins
+ }
+ sigl=-1;
+ }
+ if (DFISSIGNED(dfr)) {
+ if (!DFISSIGNED(dfl)) { // +LHS -RHS
+ if (DFISZERO(dfl) && DFISZERO(dfr) && !tot) return 0;
+ return +1; // LHS wins
+ }
+ }
+
+ // signs are the same; operand(s) could be zero
+ sigr=-sigl; // sign to return if abs(RHS) wins
+
+ if (DFISINF(dfl)) {
+ if (DFISINF(dfr)) return 0; // both infinite & same sign
+ return sigl; // inf > n
+ }
+ if (DFISINF(dfr)) return sigr; // n < inf [dfl is finite]
+
+ // here, both are same sign and finite; calculate their offset
+ shift=GETEXP(dfl)-GETEXP(dfr); // [0 means aligned]
+ // [bias can be ignored -- the absolute exponent is not relevant]
+
+ if (DFISZERO(dfl)) {
+ if (!DFISZERO(dfr)) return sigr; // LHS=0, RHS!=0
+ // both are zero, return 0 if both same exponent or numeric compare
+ if (shift==0 || !tot) return 0;
+ if (shift>0) return sigl;
+ return sigr; // [shift<0]
+ }
+ else { // LHS!=0
+ if (DFISZERO(dfr)) return sigl; // LHS!=0, RHS=0
+ }
+ // both are known to be non-zero at this point
+
+ // if the exponents are so different that the coefficients do not
+ // overlap (by even one digit) then a full comparison is not needed
+ if (abs(shift)>=DECPMAX) { // no overlap
+ // coefficients are known to be non-zero
+ if (shift>0) return sigl;
+ return sigr; // [shift<0]
+ }
+
+ // decode the coefficients
+ // (shift both right two if Quad to make a multiple of four)
+ #if QUAD
+ UBFROMUI(bufl, 0);
+ UBFROMUI(bufr, 0);
+ #endif
+ GETCOEFF(dfl, bufl+QUAD*2); // decode from decFloat
+ GETCOEFF(dfr, bufr+QUAD*2); // ..
+ if (shift==0) { // aligned; common and easy
+ // all multiples of four, here
+ for (ub=bufl, uc=bufr; ub*uc) return sigl; // difference found
+ if (*ub<*uc) return sigr; // ..
+ }
+ }
+ } // aligned
+ else if (shift>0) { // lhs to left
+ ub=bufl; // RHS pointer
+ // pad bufl so right-aligned; most shifts will fit in 8
+ UBFROMUI(bufl+DECPMAX+QUAD*2, 0); // add eight zeros
+ UBFROMUI(bufl+DECPMAX+QUAD*2+4, 0); // ..
+ if (shift>8) {
+ // more than eight; fill the rest, and also worth doing the
+ // lead-in by fours
+ uByte *up; // work
+ uByte *upend=bufl+DECPMAX+QUAD*2+shift;
+ for (up=bufl+DECPMAX+QUAD*2+8; upbufl+shift-4) break;
+ }
+ }
+ // check remaining leading digits
+ for (; ub*uc) return sigl; // difference found
+ if (*ub<*uc) return sigr; // ..
+ }
+ } // mismatch
+ if (uc==bufr+QUAD*2+DECPMAX-4) break; // all checked
+ }
+ } // shift>0
+
+ else { // shift<0) .. RHS is to left of LHS; mirror shift>0
+ uc=bufr; // RHS pointer
+ // pad bufr so right-aligned; most shifts will fit in 8
+ UBFROMUI(bufr+DECPMAX+QUAD*2, 0); // add eight zeros
+ UBFROMUI(bufr+DECPMAX+QUAD*2+4, 0); // ..
+ if (shift<-8) {
+ // more than eight; fill the rest, and also worth doing the
+ // lead-in by fours
+ uByte *up; // work
+ uByte *upend=bufr+DECPMAX+QUAD*2-shift;
+ for (up=bufr+DECPMAX+QUAD*2+8; upbufr-shift-4) break;
+ }
+ }
+ // check remaining leading digits
+ for (; uc*uc) return sigl; // difference found
+ if (*ub<*uc) return sigr; // ..
+ }
+ } // mismatch
+ if (ub==bufl+QUAD*2+DECPMAX-4) break; // all checked
+ }
+ } // shift<0
+
+ // Here when compare equal
+ if (!tot) return 0; // numerically equal
+ // total ordering .. exponent matters
+ if (shift>0) return sigl; // total order by exponent
+ if (shift<0) return sigr; // ..
+ return 0;
+ } // decNumCompare
+
+/* ------------------------------------------------------------------ */
+/* decToInt32 -- local routine to effect ToInteger conversions */
+/* */
+/* df is the decFloat to convert */
+/* set is the context */
+/* rmode is the rounding mode to use */
+/* exact is 1 if Inexact should be signalled */
+/* unsign is 1 if the result a uInt, 0 if an Int (cast to uInt) */
+/* returns 32-bit result as a uInt */
+/* */
+/* Invalid is set is df is a NaN, is infinite, or is out-of-range; in */
+/* these cases 0 is returned. */
+/* ------------------------------------------------------------------ */
+static uInt decToInt32(const decFloat *df, decContext *set,
+ enum rounding rmode, Flag exact, Flag unsign) {
+ Int exp; // exponent
+ uInt sourhi, sourpen, sourlo; // top word from source decFloat ..
+ uInt hi, lo; // .. penultimate, least, etc.
+ decFloat zero, result; // work
+ Int i; // ..
+
+ /* Start decoding the argument */
+ sourhi=DFWORD(df, 0); // top word
+ exp=DECCOMBEXP[sourhi>>26]; // get exponent high bits (in place)
+ if (EXPISSPECIAL(exp)) { // is special?
+ set->status|=DEC_Invalid_operation; // signal
+ return 0;
+ }
+
+ /* Here when the argument is finite */
+ if (GETEXPUN(df)==0) result=*df; // already a true integer
+ else { // need to round to integer
+ enum rounding saveround; // saver
+ uInt savestatus; // ..
+ saveround=set->round; // save rounding mode ..
+ savestatus=set->status; // .. and status
+ set->round=rmode; // set mode
+ decFloatZero(&zero); // make 0E+0
+ set->status=0; // clear
+ decFloatQuantize(&result, df, &zero, set); // [this may fail]
+ set->round=saveround; // restore rounding mode ..
+ if (exact) set->status|=savestatus; // include Inexact
+ else set->status=savestatus; // .. or just original status
+ }
+
+ // only the last four declets of the coefficient can contain
+ // non-zero; check for others (and also NaN or Infinity from the
+ // Quantize) first (see DFISZERO for explanation):
+ // decFloatShow(&result, "sofar");
+ #if DOUBLE
+ if ((DFWORD(&result, 0)&0x1c03ff00)!=0
+ || (DFWORD(&result, 0)&0x60000000)==0x60000000) {
+ #elif QUAD
+ if ((DFWORD(&result, 2)&0xffffff00)!=0
+ || DFWORD(&result, 1)!=0
+ || (DFWORD(&result, 0)&0x1c003fff)!=0
+ || (DFWORD(&result, 0)&0x60000000)==0x60000000) {
+ #endif
+ set->status|=DEC_Invalid_operation; // Invalid or out of range
+ return 0;
+ }
+ // get last twelve digits of the coefficent into hi & ho, base
+ // 10**9 (see GETCOEFFBILL):
+ sourlo=DFWORD(&result, DECWORDS-1);
+ lo=DPD2BIN0[sourlo&0x3ff]
+ +DPD2BINK[(sourlo>>10)&0x3ff]
+ +DPD2BINM[(sourlo>>20)&0x3ff];
+ sourpen=DFWORD(&result, DECWORDS-2);
+ hi=DPD2BIN0[((sourpen<<2) | (sourlo>>30))&0x3ff];
+
+ // according to request, check range carefully
+ if (unsign) {
+ if (hi>4 || (hi==4 && lo>294967295) || (hi+lo!=0 && DFISSIGNED(&result))) {
+ set->status|=DEC_Invalid_operation; // out of range
+ return 0;
+ }
+ return hi*BILLION+lo;
+ }
+ // signed
+ if (hi>2 || (hi==2 && lo>147483647)) {
+ // handle the usual edge case
+ if (lo==147483648 && hi==2 && DFISSIGNED(&result)) return 0x80000000;
+ set->status|=DEC_Invalid_operation; // truly out of range
+ return 0;
+ }
+ i=hi*BILLION+lo;
+ if (DFISSIGNED(&result)) i=-i;
+ return (uInt)i;
+ } // decToInt32
+
+/* ------------------------------------------------------------------ */
+/* decToIntegral -- local routine to effect ToIntegral value */
+/* */
+/* result gets the result */
+/* df is the decFloat to round */
+/* set is the context */
+/* rmode is the rounding mode to use */
+/* exact is 1 if Inexact should be signalled */
+/* returns result */
+/* ------------------------------------------------------------------ */
+static decFloat * decToIntegral(decFloat *result, const decFloat *df,
+ decContext *set, enum rounding rmode,
+ Flag exact) {
+ Int exp; // exponent
+ uInt sourhi; // top word from source decFloat
+ enum rounding saveround; // saver
+ uInt savestatus; // ..
+ decFloat zero; // work
+
+ /* Start decoding the argument */
+ sourhi=DFWORD(df, 0); // top word
+ exp=DECCOMBEXP[sourhi>>26]; // get exponent high bits (in place)
+
+ if (EXPISSPECIAL(exp)) { // is special?
+ // NaNs are handled as usual
+ if (DFISNAN(df)) return decNaNs(result, df, NULL, set);
+ // must be infinite; return canonical infinity with sign of df
+ return decInfinity(result, df);
+ }
+
+ /* Here when the argument is finite */
+ // complete extraction of the exponent
+ exp+=GETECON(df)-DECBIAS; // .. + continuation and unbias
+
+ if (exp>=0) return decCanonical(result, df); // already integral
+
+ saveround=set->round; // save rounding mode ..
+ savestatus=set->status; // .. and status
+ set->round=rmode; // set mode
+ decFloatZero(&zero); // make 0E+0
+ decFloatQuantize(result, df, &zero, set); // 'integrate'; cannot fail
+ set->round=saveround; // restore rounding mode ..
+ if (!exact) set->status=savestatus; // .. and status, unless exact
+ return result;
+ } // decToIntegral
diff --git a/extern/decNumber/decCommon.c b/extern/decNumber/decCommon.c
new file mode 100644
index 0000000000..6a0c112c88
--- /dev/null
+++ b/extern/decNumber/decCommon.c
@@ -0,0 +1,1835 @@
+/* ------------------------------------------------------------------ */
+/* decCommon.c -- common code for all three fixed-size types */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises code that is shared between all the formats */
+/* (decSingle, decDouble, and decQuad); it includes set and extract */
+/* of format components, widening, narrowing, and string conversions. */
+/* */
+/* Unlike decNumber, parameterization takes place at compile time */
+/* rather than at runtime. The parameters are set in the decDouble.c */
+/* (etc.) files, which then include this one to produce the compiled */
+/* code. The functions here, therefore, are code shared between */
+/* multiple formats. */
+/* ------------------------------------------------------------------ */
+// Names here refer to decFloat rather than to decDouble, etc., and
+// the functions are in strict alphabetical order.
+// Constants, tables, and debug function(s) are included only for QUAD
+// (which will always be compiled if DOUBLE or SINGLE are used).
+//
+// Whenever a decContext is used, only the status may be set (using
+// OR) or the rounding mode read; all other fields are ignored and
+// untouched.
+
+// names for simpler testing and default context
+#if DECPMAX==7
+ #define SINGLE 1
+ #define DOUBLE 0
+ #define QUAD 0
+ #define DEFCONTEXT DEC_INIT_DECIMAL32
+#elif DECPMAX==16
+ #define SINGLE 0
+ #define DOUBLE 1
+ #define QUAD 0
+ #define DEFCONTEXT DEC_INIT_DECIMAL64
+#elif DECPMAX==34
+ #define SINGLE 0
+ #define DOUBLE 0
+ #define QUAD 1
+ #define DEFCONTEXT DEC_INIT_DECIMAL128
+#else
+ #error Unexpected DECPMAX value
+#endif
+
+/* Assertions */
+
+#if DECPMAX!=7 && DECPMAX!=16 && DECPMAX!=34
+ #error Unexpected Pmax (DECPMAX) value for this module
+#endif
+
+// Assert facts about digit characters, etc.
+#if ('9'&0x0f)!=9
+ #error This module assumes characters are of the form 0b....nnnn
+ // where .... are don't care 4 bits and nnnn is 0000 through 1001
+#endif
+#if ('9'&0xf0)==('.'&0xf0)
+ #error This module assumes '.' has a different mask than a digit
+#endif
+
+// Assert ToString lay-out conditions
+#if DECSTRING DECSTRING
+ #error Exponent form can be too long for ToString to lay out safely
+#endif
+#if DECEMAXD > 4
+ #error Exponent form is too long for ToString to lay out
+ // Note: code for up to 9 digits exists in archives [decOct]
+#endif
+
+/* Private functions used here and possibly in decBasic.c, etc. */
+static decFloat * decFinalize(decFloat *, bcdnum *, decContext *);
+static Flag decBiStr(const char *, const char *, const char *);
+
+/* Macros and private tables; those which are not format-dependent */
+/* are only included if decQuad is being built. */
+
+/* ------------------------------------------------------------------ */
+/* Combination field lookup tables (uInts to save measurable work) */
+/* */
+/* DECCOMBEXP - 2 most-significant-bits of exponent (00, 01, or */
+/* 10), shifted left for format, or DECFLOAT_Inf/NaN */
+/* DECCOMBWEXP - The same, for the next-wider format (unless QUAD) */
+/* DECCOMBMSD - 4-bit most-significant-digit */
+/* [0 if the index is a special (Infinity or NaN)] */
+/* DECCOMBFROM - 5-bit combination field from EXP top bits and MSD */
+/* (placed in uInt so no shift is needed) */
+/* */
+/* DECCOMBEXP, DECCOMBWEXP, and DECCOMBMSD are indexed by the sign */
+/* and 5-bit combination field (0-63, the second half of the table */
+/* identical to the first half) */
+/* DECCOMBFROM is indexed by expTopTwoBits*16 + msd */
+/* */
+/* DECCOMBMSD and DECCOMBFROM are not format-dependent and so are */
+/* only included once, when QUAD is being built */
+/* ------------------------------------------------------------------ */
+static const uInt DECCOMBEXP[64]={
+ 0, 0, 0, 0, 0, 0, 0, 0,
+ 1< DPD
+#define DEC_BIN2DPD 1 // 0-999 -> DPD
+#define DEC_BIN2BCD8 1 // 0-999 -> ddd, len
+#define DEC_DPD2BCD8 1 // DPD -> ddd, len
+#define DEC_DPD2BIN 1 // DPD -> 0-999
+#define DEC_DPD2BINK 1 // DPD -> 0-999000
+#define DEC_DPD2BINM 1 // DPD -> 0-999000000
+#include "decDPD.h" // source of the lookup tables
+
+#endif
+
+/* ----------------------------------------------------------------- */
+/* decBiStr -- compare string with pairwise options */
+/* */
+/* targ is the string to compare */
+/* str1 is one of the strings to compare against (length may be 0) */
+/* str2 is the other; it must be the same length as str1 */
+/* */
+/* returns 1 if strings compare equal, (that is, targ is the same */
+/* length as str1 and str2, and each character of targ is in one */
+/* of str1 or str2 in the corresponding position), or 0 otherwise */
+/* */
+/* This is used for generic caseless compare, including the awkward */
+/* case of the Turkish dotted and dotless Is. Use as (for example): */
+/* if (decBiStr(test, "mike", "MIKE")) ... */
+/* ----------------------------------------------------------------- */
+static Flag decBiStr(const char *targ, const char *str1, const char *str2) {
+ for (;;targ++, str1++, str2++) {
+ if (*targ!=*str1 && *targ!=*str2) return 0;
+ // *targ has a match in one (or both, if terminator)
+ if (*targ=='\0') break;
+ } // forever
+ return 1;
+ } // decBiStr
+
+/* ------------------------------------------------------------------ */
+/* decFinalize -- adjust and store a final result */
+/* */
+/* df is the decFloat format number which gets the final result */
+/* num is the descriptor of the number to be checked and encoded */
+/* [its values, including the coefficient, may be modified] */
+/* set is the context to use */
+/* returns df */
+/* */
+/* The num descriptor may point to a bcd8 string of any length; this */
+/* string may have leading insignificant zeros. If it has more than */
+/* DECPMAX digits then the final digit can be a round-for-reround */
+/* digit (i.e., it may include a sticky bit residue). */
+/* */
+/* The exponent (q) may be one of the codes for a special value and */
+/* can be up to 999999999 for conversion from string. */
+/* */
+/* No error is possible, but Inexact, Underflow, and/or Overflow may */
+/* be set. */
+/* ------------------------------------------------------------------ */
+// Constant whose size varies with format; also the check for surprises
+static uByte allnines[DECPMAX]=
+#if SINGLE
+ {9, 9, 9, 9, 9, 9, 9};
+#elif DOUBLE
+ {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9};
+#elif QUAD
+ {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
+ 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9};
+#endif
+
+static decFloat * decFinalize(decFloat *df, bcdnum *num,
+ decContext *set) {
+ uByte *ub; // work
+ uInt dpd; // ..
+ uInt uiwork; // for macros
+ uByte *umsd=num->msd; // local copy
+ uByte *ulsd=num->lsd; // ..
+ uInt encode; // encoding accumulator
+ Int length; // coefficient length
+
+ #if DECCHECK
+ Int clen=ulsd-umsd+1;
+ #if QUAD
+ #define COEXTRA 2 // extra-long coefficent
+ #else
+ #define COEXTRA 0
+ #endif
+ if (clen<1 || clen>DECPMAX*3+2+COEXTRA)
+ printf("decFinalize: suspect coefficient [length=%ld]\n", (LI)clen);
+ if (num->sign!=0 && num->sign!=DECFLOAT_Sign)
+ printf("decFinalize: bad sign [%08lx]\n", (LI)num->sign);
+ if (!EXPISSPECIAL(num->exponent)
+ && (num->exponent>1999999999 || num->exponent<-1999999999))
+ printf("decFinalize: improbable exponent [%ld]\n", (LI)num->exponent);
+ // decShowNum(num, "final");
+ #endif
+
+ // A special will have an 'exponent' which is very positive and a
+ // coefficient < DECPMAX
+ length=(uInt)(ulsd-umsd+1); // coefficient length
+
+ if (!NUMISSPECIAL(num)) {
+ Int drop; // digits to be dropped
+ // skip leading insignificant zeros to calculate an exact length
+ // [this is quite expensive]
+ if (*umsd==0) {
+ for (; umsd+3exponent);
+ // drop can now be > digits for bottom-clamp (subnormal) cases
+ if (drop>0) { // rounding needed
+ // (decFloatQuantize has very similar code to this, so any
+ // changes may need to be made there, too)
+ uByte *roundat; // -> re-round digit
+ uByte reround; // reround value
+ // printf("Rounding; drop=%ld\n", (LI)drop);
+
+ num->exponent+=drop; // always update exponent
+
+ // Three cases here:
+ // 1. new LSD is in coefficient (almost always)
+ // 2. new LSD is digit to left of coefficient (so MSD is
+ // round-for-reround digit)
+ // 3. new LSD is to left of case 2 (whole coefficient is sticky)
+ // [duplicate check-stickies code to save a test]
+ // [by-digit check for stickies as runs of zeros are rare]
+ if (dropstatus|=DEC_Inexact;
+ // if adjusted exponent [exp+digits-1] is < EMIN then num is
+ // subnormal -- so raise Underflow
+ if (num->exponentexponent+(ulsd-umsd+1)-1)status|=DEC_Underflow;
+
+ // next decide whether increment of the coefficient is needed
+ if (set->round==DEC_ROUND_HALF_EVEN) { // fastpath slowest case
+ if (reround>5) bump=1; // >0.5 goes up
+ else if (reround==5) // exactly 0.5000 ..
+ bump=*ulsd & 0x01; // .. up iff [new] lsd is odd
+ } // r-h-e
+ else switch (set->round) {
+ case DEC_ROUND_DOWN: {
+ // no change
+ break;} // r-d
+ case DEC_ROUND_HALF_DOWN: {
+ if (reround>5) bump=1;
+ break;} // r-h-d
+ case DEC_ROUND_HALF_UP: {
+ if (reround>=5) bump=1;
+ break;} // r-h-u
+ case DEC_ROUND_UP: {
+ if (reround>0) bump=1;
+ break;} // r-u
+ case DEC_ROUND_CEILING: {
+ // same as _UP for positive numbers, and as _DOWN for negatives
+ if (!num->sign && reround>0) bump=1;
+ break;} // r-c
+ case DEC_ROUND_FLOOR: {
+ // same as _UP for negative numbers, and as _DOWN for positive
+ // [negative reround cannot occur on 0]
+ if (num->sign && reround>0) bump=1;
+ break;} // r-f
+ case DEC_ROUND_05UP: {
+ if (reround>0) { // anything out there is 'sticky'
+ // bump iff lsd=0 or 5; this cannot carry so it could be
+ // effected immediately with no bump -- but the code
+ // is clearer if this is done the same way as the others
+ if (*ulsd==0 || *ulsd==5) bump=1;
+ }
+ break;} // r-r
+ default: { // e.g., DEC_ROUND_MAX
+ set->status|=DEC_Invalid_context;
+ #if DECCHECK
+ printf("Unknown rounding mode: %ld\n", (LI)set->round);
+ #endif
+ break;}
+ } // switch (not r-h-e)
+ // printf("ReRound: %ld bump: %ld\n", (LI)reround, (LI)bump);
+
+ if (bump!=0) { // need increment
+ // increment the coefficient; this might end up with 1000...
+ // (after the all nines case)
+ ub=ulsd;
+ for(; ub-3>=umsd && UBTOUI(ub-3)==0x09090909; ub-=4) {
+ UBFROMUI(ub-3, 0); // to 00000000
+ }
+ // [note ub could now be to left of msd, and it is not safe
+ // to write to the the left of the msd]
+ // now at most 3 digits left to non-9 (usually just the one)
+ for (; ub>=umsd; *ub=0, ub--) {
+ if (*ub==9) continue; // carry
+ *ub+=1;
+ break;
+ }
+ if (ubexponent++;
+ }
+ else {
+ // if coefficient is shorter than Pmax then num is
+ // subnormal, so extend it; this is safe as drop>0
+ // (or, if the coefficient was supplied above, it could
+ // not be 9); this may make the result normal.
+ ulsd++;
+ *ulsd=0;
+ // [exponent unchanged]
+ #if DECCHECK
+ if (num->exponent!=DECQTINY) // sanity check
+ printf("decFinalize: bad all-nines extend [^%ld, %ld]\n",
+ (LI)num->exponent, (LI)(ulsd-umsd+1));
+ #endif
+ } // subnormal extend
+ } // had all-nines
+ } // bump needed
+ } // inexact rounding
+
+ length=ulsd-umsd+1; // recalculate (may be 0)
+
+ // The coefficient will now fit and has final length unless overflow
+ // decShowNum(num, "rounded");
+
+ // if exponent is >=emax may have to clamp, overflow, or fold-down
+ if (num->exponent>DECEMAX-(DECPMAX-1)) { // is edge case
+ // printf("overflow checks...\n");
+ if (*ulsd==0 && ulsd==umsd) { // have zero
+ num->exponent=DECEMAX-(DECPMAX-1); // clamp to max
+ }
+ else if ((num->exponent+length-1)>DECEMAX) { // > Nmax
+ // Overflow -- these could go straight to encoding, here, but
+ // instead num is adjusted to keep the code cleaner
+ Flag needmax=0; // 1 for finite result
+ set->status|=(DEC_Overflow | DEC_Inexact);
+ switch (set->round) {
+ case DEC_ROUND_DOWN: {
+ needmax=1; // never Infinity
+ break;} // r-d
+ case DEC_ROUND_05UP: {
+ needmax=1; // never Infinity
+ break;} // r-05
+ case DEC_ROUND_CEILING: {
+ if (num->sign) needmax=1; // Infinity iff non-negative
+ break;} // r-c
+ case DEC_ROUND_FLOOR: {
+ if (!num->sign) needmax=1; // Infinity iff negative
+ break;} // r-f
+ default: break; // Infinity in all other cases
+ }
+ if (!needmax) { // easy .. set Infinity
+ num->exponent=DECFLOAT_Inf;
+ *umsd=0; // be clean: coefficient to 0
+ ulsd=umsd; // ..
+ }
+ else { // return Nmax
+ umsd=allnines; // use constant array
+ ulsd=allnines+DECPMAX-1;
+ num->exponent=DECEMAX-(DECPMAX-1);
+ }
+ }
+ else { // no overflow but non-zero and may have to fold-down
+ Int shift=num->exponent-(DECEMAX-(DECPMAX-1));
+ if (shift>0) { // fold-down needed
+ // fold down needed; must copy to buffer in order to pad
+ // with zeros safely; fortunately this is not the worst case
+ // path because cannot have had a round
+ uByte buffer[ROUNDUP(DECPMAX+3, 4)]; // [+3 allows uInt padding]
+ uByte *s=umsd; // source
+ uByte *t=buffer; // safe target
+ uByte *tlsd=buffer+(ulsd-umsd)+shift; // target LSD
+ // printf("folddown shift=%ld\n", (LI)shift);
+ for (; s<=ulsd; s+=4, t+=4) UBFROMUI(t, UBTOUI(s));
+ for (t=tlsd-shift+1; t<=tlsd; t+=4) UBFROMUI(t, 0); // pad 0s
+ num->exponent-=shift;
+ umsd=buffer;
+ ulsd=tlsd;
+ }
+ } // fold-down?
+ length=ulsd-umsd+1; // recalculate length
+ } // high-end edge case
+ } // finite number
+
+ /*------------------------------------------------------------------*/
+ /* At this point the result will properly fit the decFloat */
+ /* encoding, and it can be encoded with no possibility of error */
+ /*------------------------------------------------------------------*/
+ // Following code does not alter coefficient (could be allnines array)
+
+ // fast path possible when DECPMAX digits
+ if (length==DECPMAX) {
+ return decFloatFromBCD(df, num->exponent, umsd, num->sign);
+ } // full-length
+
+ // slower path when not a full-length number; must care about length
+ // [coefficient length here will be < DECPMAX]
+ if (!NUMISSPECIAL(num)) { // is still finite
+ // encode the combination field and exponent continuation
+ uInt uexp=(uInt)(num->exponent+DECBIAS); // biased exponent
+ uInt code=(uexp>>DECECONL)<<4; // top two bits of exp
+ // [msd==0]
+ // look up the combination field and make high word
+ encode=DECCOMBFROM[code]; // indexed by (0-2)*16+msd
+ encode|=(uexp<<(32-6-DECECONL)) & 0x03ffffff; // exponent continuation
+ }
+ else encode=num->exponent; // special [already in word]
+ encode|=num->sign; // add sign
+
+ // private macro to extract a declet, n (where 0<=n=umsd) dpd=BCD2DPD[(*ub*256)+(*(ub+1)*16)+*(ub+2)]; \
+ else {dpd=*(ub+2); if (ub+1==umsd) dpd+=*(ub+1)*16; dpd=BCD2DPD[dpd];}
+
+ // place the declets in the encoding words and copy to result (df),
+ // according to endianness; in all cases complete the sign word
+ // first
+ #if DECPMAX==7
+ getDPDt(dpd, 1);
+ encode|=dpd<<10;
+ getDPDt(dpd, 0);
+ encode|=dpd;
+ DFWORD(df, 0)=encode; // just the one word
+
+ #elif DECPMAX==16
+ getDPDt(dpd, 4); encode|=dpd<<8;
+ getDPDt(dpd, 3); encode|=dpd>>2;
+ DFWORD(df, 0)=encode;
+ encode=dpd<<30;
+ getDPDt(dpd, 2); encode|=dpd<<20;
+ getDPDt(dpd, 1); encode|=dpd<<10;
+ getDPDt(dpd, 0); encode|=dpd;
+ DFWORD(df, 1)=encode;
+
+ #elif DECPMAX==34
+ getDPDt(dpd,10); encode|=dpd<<4;
+ getDPDt(dpd, 9); encode|=dpd>>6;
+ DFWORD(df, 0)=encode;
+
+ encode=dpd<<26;
+ getDPDt(dpd, 8); encode|=dpd<<16;
+ getDPDt(dpd, 7); encode|=dpd<<6;
+ getDPDt(dpd, 6); encode|=dpd>>4;
+ DFWORD(df, 1)=encode;
+
+ encode=dpd<<28;
+ getDPDt(dpd, 5); encode|=dpd<<18;
+ getDPDt(dpd, 4); encode|=dpd<<8;
+ getDPDt(dpd, 3); encode|=dpd>>2;
+ DFWORD(df, 2)=encode;
+
+ encode=dpd<<30;
+ getDPDt(dpd, 2); encode|=dpd<<20;
+ getDPDt(dpd, 1); encode|=dpd<<10;
+ getDPDt(dpd, 0); encode|=dpd;
+ DFWORD(df, 3)=encode;
+ #endif
+
+ // printf("Status: %08lx\n", (LI)set->status);
+ // decFloatShow(df, "final2");
+ return df;
+ } // decFinalize
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromBCD -- set decFloat from exponent, BCD8, and sign */
+/* */
+/* df is the target decFloat */
+/* exp is the in-range unbiased exponent, q, or a special value in */
+/* the form returned by decFloatGetExponent */
+/* bcdar holds DECPMAX digits to set the coefficient from, one */
+/* digit in each byte (BCD8 encoding); the first (MSD) is ignored */
+/* if df is a NaN; all are ignored if df is infinite. */
+/* All bytes must be in 0-9; results are undefined otherwise. */
+/* sig is DECFLOAT_Sign to set the sign bit, 0 otherwise */
+/* returns df, which will be canonical */
+/* */
+/* No error is possible, and no status will be set. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromBCD(decFloat *df, Int exp, const uByte *bcdar,
+ Int sig) {
+ uInt encode, dpd; // work
+ const uByte *ub; // ..
+
+ if (EXPISSPECIAL(exp)) encode=exp|sig;// specials already encoded
+ else { // is finite
+ // encode the combination field and exponent continuation
+ uInt uexp=(uInt)(exp+DECBIAS); // biased exponent
+ uInt code=(uexp>>DECECONL)<<4; // top two bits of exp
+ code+=bcdar[0]; // add msd
+ // look up the combination field and make high word
+ encode=DECCOMBFROM[code]|sig; // indexed by (0-2)*16+msd
+ encode|=(uexp<<(32-6-DECECONL)) & 0x03ffffff; // exponent continuation
+ }
+
+ // private macro to extract a declet, n (where 0<=n>2;
+ DFWORD(df, 0)=encode;
+ encode=dpd<<30;
+ getDPDb(dpd, 2); encode|=dpd<<20;
+ getDPDb(dpd, 1); encode|=dpd<<10;
+ getDPDb(dpd, 0); encode|=dpd;
+ DFWORD(df, 1)=encode;
+
+ #elif DECPMAX==34
+ getDPDb(dpd,10); encode|=dpd<<4;
+ getDPDb(dpd, 9); encode|=dpd>>6;
+ DFWORD(df, 0)=encode;
+
+ encode=dpd<<26;
+ getDPDb(dpd, 8); encode|=dpd<<16;
+ getDPDb(dpd, 7); encode|=dpd<<6;
+ getDPDb(dpd, 6); encode|=dpd>>4;
+ DFWORD(df, 1)=encode;
+
+ encode=dpd<<28;
+ getDPDb(dpd, 5); encode|=dpd<<18;
+ getDPDb(dpd, 4); encode|=dpd<<8;
+ getDPDb(dpd, 3); encode|=dpd>>2;
+ DFWORD(df, 2)=encode;
+
+ encode=dpd<<30;
+ getDPDb(dpd, 2); encode|=dpd<<20;
+ getDPDb(dpd, 1); encode|=dpd<<10;
+ getDPDb(dpd, 0); encode|=dpd;
+ DFWORD(df, 3)=encode;
+ #endif
+ // decFloatShow(df, "fromB");
+ return df;
+ } // decFloatFromBCD
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromPacked -- set decFloat from exponent and packed BCD */
+/* */
+/* df is the target decFloat */
+/* exp is the in-range unbiased exponent, q, or a special value in */
+/* the form returned by decFloatGetExponent */
+/* packed holds DECPMAX packed decimal digits plus a sign nibble */
+/* (all 6 codes are OK); the first (MSD) is ignored if df is a NaN */
+/* and all except sign are ignored if df is infinite. For DOUBLE */
+/* and QUAD the first (pad) nibble is also ignored in all cases. */
+/* All coefficient nibbles must be in 0-9 and sign in A-F; results */
+/* are undefined otherwise. */
+/* returns df, which will be canonical */
+/* */
+/* No error is possible, and no status will be set. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromPacked(decFloat *df, Int exp, const uByte *packed) {
+ uByte bcdar[DECPMAX+2]; // work [+1 for pad, +1 for sign]
+ const uByte *ip; // ..
+ uByte *op; // ..
+ Int sig=0; // sign
+
+ // expand coefficient and sign to BCDAR
+ #if SINGLE
+ op=bcdar+1; // no pad digit
+ #else
+ op=bcdar; // first (pad) digit ignored
+ #endif
+ for (ip=packed; ip>4;
+ *op++=(uByte)(*ip&0x0f); // [final nibble is sign]
+ }
+ op--; // -> sign byte
+ if (*op==DECPMINUS || *op==DECPMINUSALT) sig=DECFLOAT_Sign;
+
+ if (EXPISSPECIAL(exp)) { // Infinity or NaN
+ if (!EXPISINF(exp)) bcdar[1]=0; // a NaN: ignore MSD
+ else memset(bcdar+1, 0, DECPMAX); // Infinite: coefficient to 0
+ }
+ return decFloatFromBCD(df, exp, bcdar+1, sig);
+ } // decFloatFromPacked
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromPackedChecked -- set from exponent and packed; checked */
+/* */
+/* df is the target decFloat */
+/* exp is the in-range unbiased exponent, q, or a special value in */
+/* the form returned by decFloatGetExponent */
+/* packed holds DECPMAX packed decimal digits plus a sign nibble */
+/* (all 6 codes are OK); the first (MSD) must be 0 if df is a NaN */
+/* and all digits must be 0 if df is infinite. For DOUBLE and */
+/* QUAD the first (pad) nibble must be 0. */
+/* All coefficient nibbles must be in 0-9 and sign in A-F. */
+/* returns df, which will be canonical or NULL if any of the */
+/* requirements are not met (if this case df is unchanged); that */
+/* is, the input data must be as returned by decFloatToPacked, */
+/* except that all six sign codes are acccepted. */
+/* */
+/* No status will be set. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatFromPackedChecked(decFloat *df, Int exp,
+ const uByte *packed) {
+ uByte bcdar[DECPMAX+2]; // work [+1 for pad, +1 for sign]
+ const uByte *ip; // ..
+ uByte *op; // ..
+ Int sig=0; // sign
+
+ // expand coefficient and sign to BCDAR
+ #if SINGLE
+ op=bcdar+1; // no pad digit
+ #else
+ op=bcdar; // first (pad) digit here
+ #endif
+ for (ip=packed; ip>4;
+ if (*op>9) return NULL;
+ op++;
+ *op=(uByte)(*ip&0x0f); // [final nibble is sign]
+ if (*op>9 && ip sign byte
+ if (*op<=9) return NULL; // bad sign
+ if (*op==DECPMINUS || *op==DECPMINUSALT) sig=DECFLOAT_Sign;
+
+ #if !SINGLE
+ if (bcdar[0]!=0) return NULL; // bad pad nibble
+ #endif
+
+ if (EXPISNAN(exp)) { // a NaN
+ if (bcdar[1]!=0) return NULL; // bad msd
+ } // NaN
+ else if (EXPISINF(exp)) { // is infinite
+ Int i;
+ for (i=0; iDECEMAX-DECPMAX+1) return NULL;
+ if (exp first character of decimal part
+ const char *c; // work
+ uByte *ub; // ..
+ uInt uiwork; // for macros
+ bcdnum num; // collects data for finishing
+ uInt error=DEC_Conversion_syntax; // assume the worst
+ uByte buffer[ROUNDUP(DECSTRING+11, 8)]; // room for most coefficents,
+ // some common rounding, +3, & pad
+ #if DECTRACE
+ // printf("FromString %s ...\n", string);
+ #endif
+
+ for(;;) { // once-only 'loop'
+ num.sign=0; // assume non-negative
+ num.msd=buffer; // MSD is here always
+
+ // detect and validate the coefficient, including any leading,
+ // trailing, or embedded '.'
+ // [could test four-at-a-time here (saving 10% for decQuads),
+ // but that risks storage violation because the position of the
+ // terminator is unknown]
+ for (c=string;; c++) { // -> input character
+ if (((unsigned)(*c-'0'))<=9) continue; // '0' through '9' is good
+ if (*c=='\0') break; // most common non-digit
+ if (*c=='.') {
+ if (dotchar!=NULL) break; // not first '.'
+ dotchar=c; // record offset into decimal part
+ continue;}
+ if (c==string) { // first in string...
+ if (*c=='-') { // valid - sign
+ cfirst++;
+ num.sign=DECFLOAT_Sign;
+ continue;}
+ if (*c=='+') { // valid + sign
+ cfirst++;
+ continue;}
+ }
+ // *c is not a digit, terminator, or a valid +, -, or '.'
+ break;
+ } // c loop
+
+ digits=(uInt)(c-cfirst); // digits (+1 if a dot)
+
+ if (digits>0) { // had digits and/or dot
+ const char *clast=c-1; // note last coefficient char position
+ Int exp=0; // exponent accumulator
+ if (*c!='\0') { // something follows the coefficient
+ uInt edig; // unsigned work
+ // had some digits and more to come; expect E[+|-]nnn now
+ const char *firstexp; // exponent first non-zero
+ if (*c!='E' && *c!='e') break;
+ c++; // to (optional) sign
+ if (*c=='-' || *c=='+') c++; // step over sign (c=clast+2)
+ if (*c=='\0') break; // no digits! (e.g., '1.2E')
+ for (; *c=='0';) c++; // skip leading zeros [even last]
+ firstexp=c; // remember start [maybe '\0']
+ // gather exponent digits
+ edig=(uInt)*c-(uInt)'0';
+ if (edig<=9) { // [check not bad or terminator]
+ exp+=edig; // avoid initial X10
+ c++;
+ for (;; c++) {
+ edig=(uInt)*c-(uInt)'0';
+ if (edig>9) break;
+ exp=exp*10+edig;
+ }
+ }
+ // if not now on the '\0', *c must not be a digit
+ if (*c!='\0') break;
+
+ // (this next test must be after the syntax checks)
+ // if definitely more than the possible digits for format then
+ // the exponent may have wrapped, so simply set it to a certain
+ // over/underflow value
+ if (c>firstexp+DECEMAXD) exp=DECEMAX*2;
+ if (*(clast+2)=='-') exp=-exp; // was negative
+ } // exponent part
+
+ if (dotchar!=NULL) { // had a '.'
+ digits--; // remove from digits count
+ if (digits==0) break; // was dot alone: bad syntax
+ exp-=(Int)(clast-dotchar); // adjust exponent
+ // [the '.' can now be ignored]
+ }
+ num.exponent=exp; // exponent is good; store it
+
+ // Here when whole string has been inspected and syntax is good
+ // cfirst->first digit or dot, clast->last digit or dot
+ error=0; // no error possible now
+
+ // if the number of digits in the coefficient will fit in buffer
+ // then it can simply be converted to bcd8 and copied -- decFinalize
+ // will take care of leading zeros and rounding; the buffer is big
+ // enough for all canonical coefficients, including 0.00000nn...
+ ub=buffer;
+ if (digits<=(Int)(sizeof(buffer)-3)) { // [-3 allows by-4s copy]
+ c=cfirst;
+ if (dotchar!=NULL) { // a dot to worry about
+ if (*(c+1)=='.') { // common canonical case
+ *ub++=(uByte)(*c-'0'); // copy leading digit
+ c+=2; // prepare to handle rest
+ }
+ else for (; c<=clast;) { // '.' could be anywhere
+ // as usual, go by fours when safe; NB it has been asserted
+ // that a '.' does not have the same mask as a digit
+ if (c<=clast-3 // safe for four
+ && (UBTOUI(c)&0xf0f0f0f0)==CHARMASK) { // test four
+ UBFROMUI(ub, UBTOUI(c)&0x0f0f0f0f); // to BCD8
+ ub+=4;
+ c+=4;
+ continue;
+ }
+ if (*c=='.') { // found the dot
+ c++; // step over it ..
+ break; // .. and handle the rest
+ }
+ *ub++=(uByte)(*c++-'0');
+ }
+ } // had dot
+ // Now no dot; do this by fours (where safe)
+ for (; c<=clast-3; c+=4, ub+=4) UBFROMUI(ub, UBTOUI(c)&0x0f0f0f0f);
+ for (; c<=clast; c++, ub++) *ub=(uByte)(*c-'0');
+ num.lsd=buffer+digits-1; // record new LSD
+ } // fits
+
+ else { // too long for buffer
+ // [This is a rare and unusual case; arbitrary-length input]
+ // strip leading zeros [but leave final 0 if all 0's]
+ if (*cfirst=='.') cfirst++; // step past dot at start
+ if (*cfirst=='0') { // [cfirst always -> digit]
+ for (; cfirst LSD
+ for (; c<=clast; c++) { // inspect remaining chars
+ if (*c!='0') { // sticky bit needed
+ if (*c=='.') continue; // [ignore]
+ *ub=DECSTICKYTAB[*ub]; // update round-for-reround
+ break; // no need to look at more
+ }
+ }
+ num.lsd=ub; // record LSD
+ // adjust exponent for dropped digits
+ num.exponent+=digits-(Int)(ub-buffer+1);
+ } // too long for buffer
+ } // digits and/or dot
+
+ else { // no digits or dot were found
+ // only Infinities and NaNs are allowed, here
+ if (*c=='\0') break; // nothing there is bad
+ buffer[0]=0; // default a coefficient of 0
+ num.lsd=buffer; // ..
+ if (decBiStr(c, "infinity", "INFINITY")
+ || decBiStr(c, "inf", "INF")) num.exponent=DECFLOAT_Inf;
+ else { // should be a NaN
+ num.exponent=DECFLOAT_qNaN; // assume quiet NaN
+ if (*c=='s' || *c=='S') { // probably an sNaN
+ num.exponent=DECFLOAT_sNaN; // effect the 's'
+ c++; // and step over it
+ }
+ if (*c!='N' && *c!='n') break; // check caseless "NaN"
+ c++;
+ if (*c!='a' && *c!='A') break; // ..
+ c++;
+ if (*c!='N' && *c!='n') break; // ..
+ c++;
+ // now either nothing, or nnnn payload (no dots), expected
+ // -> start of integer, and skip leading 0s [including plain 0]
+ for (cfirst=c; *cfirst=='0';) cfirst++;
+ if (*cfirst!='\0') { // not empty or all-0, payload
+ // payload found; check all valid digits and copy to buffer as bcd8
+ ub=buffer;
+ for (c=cfirst;; c++, ub++) {
+ if ((unsigned)(*c-'0')>9) break; // quit if not 0-9
+ if (c-cfirst==DECPMAX-1) break; // too many digits
+ *ub=(uByte)(*c-'0'); // good bcd8
+ }
+ if (*c!='\0') break; // not all digits, or too many
+ num.lsd=ub-1; // record new LSD
+ }
+ } // NaN or sNaN
+ error=0; // syntax is OK
+ } // digits=0 (special expected)
+ break; // drop out
+ } // [for(;;) once-loop]
+
+ // decShowNum(&num, "fromStr");
+
+ if (error!=0) {
+ set->status|=error;
+ num.exponent=DECFLOAT_qNaN; // set up quiet NaN
+ num.sign=0; // .. with 0 sign
+ buffer[0]=0; // .. and coefficient
+ num.lsd=buffer; // ..
+ // decShowNum(&num, "oops");
+ }
+
+ // decShowNum(&num, "dffs");
+ decFinalize(result, &num, set); // round, check, and lay out
+ // decFloatShow(result, "fromString");
+ return result;
+ } // decFloatFromString
+
+/* ------------------------------------------------------------------ */
+/* decFloatFromWider -- conversion from next-wider format */
+/* */
+/* result is the decFloat format number which gets the result of */
+/* the conversion */
+/* wider is the decFloatWider format number which will be narrowed */
+/* set is the context */
+/* returns result */
+/* */
+/* Narrowing can cause rounding, overflow, etc., but not Invalid */
+/* operation (sNaNs are copied and do not signal). */
+/* ------------------------------------------------------------------ */
+// narrow-to is not possible for decQuad format numbers; simply omit
+#if !QUAD
+decFloat * decFloatFromWider(decFloat *result, const decFloatWider *wider,
+ decContext *set) {
+ bcdnum num; // collects data for finishing
+ uByte bcdar[DECWPMAX]; // room for wider coefficient
+ uInt widerhi=DFWWORD(wider, 0); // top word
+ Int exp;
+
+ GETWCOEFF(wider, bcdar);
+
+ num.msd=bcdar; // MSD is here always
+ num.lsd=bcdar+DECWPMAX-1; // LSD is here always
+ num.sign=widerhi&0x80000000; // extract sign [DECFLOAT_Sign=Neg]
+
+ // decode the wider combination field to exponent
+ exp=DECCOMBWEXP[widerhi>>26]; // decode from wider combination field
+ // if it is a special there's nothing to do unless sNaN; if it's
+ // finite then add the (wider) exponent continuation and unbias
+ if (EXPISSPECIAL(exp)) exp=widerhi&0x7e000000; // include sNaN selector
+ else exp+=GETWECON(wider)-DECWBIAS;
+ num.exponent=exp;
+
+ // decShowNum(&num, "dffw");
+ return decFinalize(result, &num, set);// round, check, and lay out
+ } // decFloatFromWider
+#endif
+
+/* ------------------------------------------------------------------ */
+/* decFloatGetCoefficient -- get coefficient as BCD8 */
+/* */
+/* df is the decFloat from which to extract the coefficient */
+/* bcdar is where DECPMAX bytes will be written, one BCD digit in */
+/* each byte (BCD8 encoding); if df is a NaN the first byte will */
+/* be zero, and if it is infinite they will all be zero */
+/* returns the sign of the coefficient (DECFLOAT_Sign if negative, */
+/* 0 otherwise) */
+/* */
+/* No error is possible, and no status will be set. If df is a */
+/* special value the array is set to zeros (for Infinity) or to the */
+/* payload of a qNaN or sNaN. */
+/* ------------------------------------------------------------------ */
+Int decFloatGetCoefficient(const decFloat *df, uByte *bcdar) {
+ if (DFISINF(df)) memset(bcdar, 0, DECPMAX);
+ else {
+ GETCOEFF(df, bcdar); // use macro
+ if (DFISNAN(df)) bcdar[0]=0; // MSD needs correcting
+ }
+ return GETSIGN(df);
+ } // decFloatGetCoefficient
+
+/* ------------------------------------------------------------------ */
+/* decFloatGetExponent -- get unbiased exponent */
+/* */
+/* df is the decFloat from which to extract the exponent */
+/* returns the exponent, q. */
+/* */
+/* No error is possible, and no status will be set. If df is a */
+/* special value the first seven bits of the decFloat are returned, */
+/* left adjusted and with the first (sign) bit set to 0 (followed by */
+/* 25 0 bits). e.g., -sNaN would return 0x7e000000 (DECFLOAT_sNaN). */
+/* ------------------------------------------------------------------ */
+Int decFloatGetExponent(const decFloat *df) {
+ if (DFISSPECIAL(df)) return DFWORD(df, 0)&0x7e000000;
+ return GETEXPUN(df);
+ } // decFloatGetExponent
+
+/* ------------------------------------------------------------------ */
+/* decFloatSetCoefficient -- set coefficient from BCD8 */
+/* */
+/* df is the target decFloat (and source of exponent/special value) */
+/* bcdar holds DECPMAX digits to set the coefficient from, one */
+/* digit in each byte (BCD8 encoding); the first (MSD) is ignored */
+/* if df is a NaN; all are ignored if df is infinite. */
+/* sig is DECFLOAT_Sign to set the sign bit, 0 otherwise */
+/* returns df, which will be canonical */
+/* */
+/* No error is possible, and no status will be set. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatSetCoefficient(decFloat *df, const uByte *bcdar,
+ Int sig) {
+ uInt exp; // for exponent
+ uByte bcdzero[DECPMAX]; // for infinities
+
+ // Exponent/special code is extracted from df
+ if (DFISSPECIAL(df)) {
+ exp=DFWORD(df, 0)&0x7e000000;
+ if (DFISINF(df)) {
+ memset(bcdzero, 0, DECPMAX);
+ return decFloatFromBCD(df, exp, bcdzero, sig);
+ }
+ }
+ else exp=GETEXPUN(df);
+ return decFloatFromBCD(df, exp, bcdar, sig);
+ } // decFloatSetCoefficient
+
+/* ------------------------------------------------------------------ */
+/* decFloatSetExponent -- set exponent or special value */
+/* */
+/* df is the target decFloat (and source of coefficient/payload) */
+/* set is the context for reporting status */
+/* exp is the unbiased exponent, q, or a special value in the form */
+/* returned by decFloatGetExponent */
+/* returns df, which will be canonical */
+/* */
+/* No error is possible, but Overflow or Underflow might occur. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatSetExponent(decFloat *df, decContext *set, Int exp) {
+ uByte bcdcopy[DECPMAX]; // for coefficient
+ bcdnum num; // work
+ num.exponent=exp;
+ num.sign=decFloatGetCoefficient(df, bcdcopy); // extract coefficient
+ if (DFISSPECIAL(df)) { // MSD or more needs correcting
+ if (DFISINF(df)) memset(bcdcopy, 0, DECPMAX);
+ bcdcopy[0]=0;
+ }
+ num.msd=bcdcopy;
+ num.lsd=bcdcopy+DECPMAX-1;
+ return decFinalize(df, &num, set);
+ } // decFloatSetExponent
+
+/* ------------------------------------------------------------------ */
+/* decFloatRadix -- returns the base (10) */
+/* */
+/* df is any decFloat of this format */
+/* ------------------------------------------------------------------ */
+uInt decFloatRadix(const decFloat *df) {
+ if (df) return 10; // to placate compiler
+ return 10;
+ } // decFloatRadix
+
+/* The following function is not available if DECPRINT=0 */
+#if DECPRINT
+/* ------------------------------------------------------------------ */
+/* decFloatShow -- printf a decFloat in hexadecimal and decimal */
+/* df is the decFloat to show */
+/* tag is a tag string displayed with the number */
+/* */
+/* This is a debug aid; the precise format of the string may change. */
+/* ------------------------------------------------------------------ */
+void decFloatShow(const decFloat *df, const char *tag) {
+ char hexbuf[DECBYTES*2+DECBYTES/4+1]; // NB blank after every fourth
+ char buff[DECSTRING]; // for value in decimal
+ Int i, j=0;
+
+ for (i=0; ibytes[DECBYTES-1-i]);
+ #else
+ sprintf(&hexbuf[j], "%02x", df->bytes[i]);
+ #endif
+ j+=2;
+ // the next line adds blank (and terminator) after final pair, too
+ if ((i+1)%4==0) {strcpy(&hexbuf[j], " "); j++;}
+ }
+ decFloatToString(df, buff);
+ printf(">%s> %s [big-endian] %s\n", tag, hexbuf, buff);
+ return;
+ } // decFloatShow
+#endif
+
+/* ------------------------------------------------------------------ */
+/* decFloatToBCD -- get sign, exponent, and BCD8 from a decFloat */
+/* */
+/* df is the source decFloat */
+/* exp will be set to the unbiased exponent, q, or to a special */
+/* value in the form returned by decFloatGetExponent */
+/* bcdar is where DECPMAX bytes will be written, one BCD digit in */
+/* each byte (BCD8 encoding); if df is a NaN the first byte will */
+/* be zero, and if it is infinite they will all be zero */
+/* returns the sign of the coefficient (DECFLOAT_Sign if negative, */
+/* 0 otherwise) */
+/* */
+/* No error is possible, and no status will be set. */
+/* ------------------------------------------------------------------ */
+Int decFloatToBCD(const decFloat *df, Int *exp, uByte *bcdar) {
+ if (DFISINF(df)) {
+ memset(bcdar, 0, DECPMAX);
+ *exp=DFWORD(df, 0)&0x7e000000;
+ }
+ else {
+ GETCOEFF(df, bcdar); // use macro
+ if (DFISNAN(df)) {
+ bcdar[0]=0; // MSD needs correcting
+ *exp=DFWORD(df, 0)&0x7e000000;
+ }
+ else { // finite
+ *exp=GETEXPUN(df);
+ }
+ }
+ return GETSIGN(df);
+ } // decFloatToBCD
+
+/* ------------------------------------------------------------------ */
+/* decFloatToEngString -- conversion to numeric string, engineering */
+/* */
+/* df is the decFloat format number to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least DECPMAX+9 characters (the worst case is */
+/* "-0.00000nnn...nnn\0", which is as long as the exponent form when */
+/* DECEMAXD<=4); this condition is asserted above */
+/* */
+/* No error is possible, and no status will be set */
+/* ------------------------------------------------------------------ */
+char * decFloatToEngString(const decFloat *df, char *string){
+ uInt msd; // coefficient MSD
+ Int exp; // exponent top two bits or full
+ uInt comb; // combination field
+ char *cstart; // coefficient start
+ char *c; // output pointer in string
+ char *s, *t; // .. (source, target)
+ Int pre, e; // work
+ const uByte *u; // ..
+ uInt uiwork; // for macros [one compiler needs
+ // volatile here to avoid bug, but
+ // that doubles execution time]
+
+ // Source words; macro handles endianness
+ uInt sourhi=DFWORD(df, 0); // word with sign
+ #if DECPMAX==16
+ uInt sourlo=DFWORD(df, 1);
+ #elif DECPMAX==34
+ uInt sourmh=DFWORD(df, 1);
+ uInt sourml=DFWORD(df, 2);
+ uInt sourlo=DFWORD(df, 3);
+ #endif
+
+ c=string; // where result will go
+ if (((Int)sourhi)<0) *c++='-'; // handle sign
+ comb=sourhi>>26; // sign+combination field
+ msd=DECCOMBMSD[comb]; // decode the combination field
+ exp=DECCOMBEXP[comb]; // ..
+
+ if (EXPISSPECIAL(exp)) { // special
+ if (exp==DECFLOAT_Inf) { // infinity
+ strcpy(c, "Inf");
+ strcpy(c+3, "inity");
+ return string; // easy
+ }
+ if (sourhi&0x02000000) *c++='s'; // sNaN
+ strcpy(c, "NaN"); // complete word
+ c+=3; // step past
+ // quick exit if the payload is zero
+ #if DECPMAX==7
+ if ((sourhi&0x000fffff)==0) return string;
+ #elif DECPMAX==16
+ if (sourlo==0 && (sourhi&0x0003ffff)==0) return string;
+ #elif DECPMAX==34
+ if (sourlo==0 && sourml==0 && sourmh==0
+ && (sourhi&0x00003fff)==0) return string;
+ #endif
+ // otherwise drop through to add integer; set correct exp etc.
+ exp=0; msd=0; // setup for following code
+ }
+ else { // complete exponent; top two bits are in place
+ exp+=GETECON(df)-DECBIAS; // .. + continuation and unbias
+ }
+
+ /* convert the digits of the significand to characters */
+ cstart=c; // save start of coefficient
+ if (msd) *c++=(char)('0'+(char)msd); // non-zero most significant digit
+
+ // Decode the declets. After extracting each declet, it is
+ // decoded to a 4-uByte sequence by table lookup; the four uBytes
+ // are the three encoded BCD8 digits followed by a 1-byte length
+ // (significant digits, except that 000 has length 0). This allows
+ // us to left-align the first declet with non-zero content, then
+ // the remaining ones are full 3-char length. Fixed-length copies
+ // are used because variable-length memcpy causes a subroutine call
+ // in at least two compilers. (The copies are length 4 for speed
+ // and are safe because the last item in the array is of length
+ // three and has the length byte following.)
+ #define dpd2char(dpdin) u=&DPD2BCD8[((dpdin)&0x3ff)*4]; \
+ if (c!=cstart) {UBFROMUI(c, UBTOUI(u)|CHARMASK); c+=3;} \
+ else if (*(u+3)) { \
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); c+=*(u+3);}
+
+ #if DECPMAX==7
+ dpd2char(sourhi>>10); // declet 1
+ dpd2char(sourhi); // declet 2
+
+ #elif DECPMAX==16
+ dpd2char(sourhi>>8); // declet 1
+ dpd2char((sourhi<<2) | (sourlo>>30)); // declet 2
+ dpd2char(sourlo>>20); // declet 3
+ dpd2char(sourlo>>10); // declet 4
+ dpd2char(sourlo); // declet 5
+
+ #elif DECPMAX==34
+ dpd2char(sourhi>>4); // declet 1
+ dpd2char((sourhi<<6) | (sourmh>>26)); // declet 2
+ dpd2char(sourmh>>16); // declet 3
+ dpd2char(sourmh>>6); // declet 4
+ dpd2char((sourmh<<4) | (sourml>>28)); // declet 5
+ dpd2char(sourml>>18); // declet 6
+ dpd2char(sourml>>8); // declet 7
+ dpd2char((sourml<<2) | (sourlo>>30)); // declet 8
+ dpd2char(sourlo>>20); // declet 9
+ dpd2char(sourlo>>10); // declet 10
+ dpd2char(sourlo); // declet 11
+ #endif
+
+ if (c==cstart) *c++='0'; // all zeros, empty -- make "0"
+
+ if (exp==0) { // integer or NaN case -- easy
+ *c='\0'; // terminate
+ return string;
+ }
+ /* non-0 exponent */
+
+ e=0; // assume no E
+ pre=(Int)(c-cstart)+exp; // length+exp [c->LSD+1]
+ // [here, pre-exp is the digits count (==1 for zero)]
+
+ if (exp>0 || pre<-5) { // need exponential form
+ e=pre-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ if (e!=0) { // engineering: may need to adjust
+ Int adj; // adjustment
+ // The C remainder operator is undefined for negative numbers, so
+ // a positive remainder calculation must be used here
+ if (e<0) {
+ adj=(-e)%3;
+ if (adj!=0) adj=3-adj;
+ }
+ else { // e>0
+ adj=e%3;
+ }
+ e=e-adj;
+ // if dealing with zero still produce an exponent which is a
+ // multiple of three, as expected, but there will only be the
+ // one zero before the E, still. Otherwise note the padding.
+ if (!DFISZERO(df)) pre+=adj;
+ else { // is zero
+ if (adj!=0) { // 0.00Esnn needed
+ e=e+3;
+ pre=-(2-adj);
+ }
+ } // zero
+ } // engineering adjustment
+ } // exponential form
+ // printf("e=%ld pre=%ld exp=%ld\n", (LI)e, (LI)pre, (LI)exp);
+
+ /* modify the coefficient, adding 0s, '.', and E+nn as needed */
+ if (pre>0) { // ddd.ddd (plain), perhaps with E
+ // or dd00 padding for engineering
+ char *dotat=cstart+pre;
+ if (dotat=dotat; s-=4, t-=4) UBFROMUI(t, UBTOUI(s));
+ *dotat='.';
+ c++; // length increased by one
+ } // need dot?
+ else for (; c0
+ else {
+ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (may have
+ E, but only for 0.00E+3 kind of case -- with plenty of spare
+ space in this case */
+ pre=-pre+2; // gap width, including "0."
+ t=cstart+ROUNDDOWN4(c-cstart)+pre; // preferred first target point
+ // backoff if too far to the right
+ if (t>string+DECSTRING-5) t=string+DECSTRING-5; // adjust to fit
+ // now shift the entire coefficient to the right, being careful not
+ // to access to the left of string [cannot use memcpy]
+ for (s=t-pre; s>=string; s-=4, t-=4) UBFROMUI(t, UBTOUI(s));
+ // for Quads and Singles there may be a character or two left...
+ s+=3; // where next would come from
+ for(; s>=cstart; s--, t--) *(t+3)=*(s);
+ // now have fill 0. through 0.00000; use overlaps to avoid tests
+ if (pre>=4) {
+ memcpy(cstart+pre-4, "0000", 4);
+ memcpy(cstart, "0.00", 4);
+ }
+ else { // 2 or 3
+ *(cstart+pre-1)='0';
+ memcpy(cstart, "0.", 2);
+ }
+ c+=pre; // to end
+ }
+
+ // finally add the E-part, if needed; it will never be 0, and has
+ // a maximum length of 3 or 4 digits (asserted above)
+ if (e!=0) {
+ memcpy(c, "E+", 2); // starts with E, assume +
+ c++;
+ if (e<0) {
+ *c='-'; // oops, need '-'
+ e=-e; // uInt, please
+ }
+ c++;
+ // Three-character exponents are easy; 4-character a little trickier
+ #if DECEMAXD<=3
+ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte
+ // copy fixed 4 characters [is safe], starting at non-zero
+ // and with character mask to convert BCD to char
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK);
+ c+=*(u+3); // bump pointer appropriately
+ #elif DECEMAXD==4
+ if (e<1000) { // 3 (or fewer) digits case
+ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); // [as above]
+ c+=*(u+3); // bump pointer appropriately
+ }
+ else { // 4-digits
+ Int thou=((e>>3)*1049)>>17; // e/1000
+ Int rem=e-(1000*thou); // e%1000
+ *c++=(char)('0'+(char)thou); // the thousands digit
+ u=&BIN2BCD8[rem*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u)|CHARMASK);// copy fixed 3+1 characters [is safe]
+ c+=3; // bump pointer, always 3 digits
+ }
+ #endif
+ }
+ *c='\0'; // terminate
+ //printf("res %s\n", string);
+ return string;
+ } // decFloatToEngString
+
+/* ------------------------------------------------------------------ */
+/* decFloatToPacked -- convert decFloat to Packed decimal + exponent */
+/* */
+/* df is the source decFloat */
+/* exp will be set to the unbiased exponent, q, or to a special */
+/* value in the form returned by decFloatGetExponent */
+/* packed is where DECPMAX nibbles will be written with the sign as */
+/* final nibble (0x0c for +, 0x0d for -); a NaN has a first nibble */
+/* of zero, and an infinity is all zeros. decDouble and decQuad */
+/* have a additional leading zero nibble, leading to result */
+/* lengths of 4, 9, and 18 bytes. */
+/* returns the sign of the coefficient (DECFLOAT_Sign if negative, */
+/* 0 otherwise) */
+/* */
+/* No error is possible, and no status will be set. */
+/* ------------------------------------------------------------------ */
+Int decFloatToPacked(const decFloat *df, Int *exp, uByte *packed) {
+ uByte bcdar[DECPMAX+2]; // work buffer
+ uByte *ip=bcdar, *op=packed; // work pointers
+ if (DFISINF(df)) {
+ memset(bcdar, 0, DECPMAX+2);
+ *exp=DECFLOAT_Inf;
+ }
+ else {
+ GETCOEFF(df, bcdar+1); // use macro
+ if (DFISNAN(df)) {
+ bcdar[1]=0; // MSD needs clearing
+ *exp=DFWORD(df, 0)&0x7e000000;
+ }
+ else { // finite
+ *exp=GETEXPUN(df);
+ }
+ }
+ // now pack; coefficient currently at bcdar+1
+ #if SINGLE
+ ip++; // ignore first byte
+ #else
+ *ip=0; // need leading zero
+ #endif
+ // set final byte to Packed BCD sign value
+ bcdar[DECPMAX+1]=(DFISSIGNED(df) ? DECPMINUS : DECPPLUS);
+ // pack an even number of bytes...
+ for (; op>26; // sign+combination field
+ msd=DECCOMBMSD[comb]; // decode the combination field
+ exp=DECCOMBEXP[comb]; // ..
+
+ if (!EXPISSPECIAL(exp)) { // finite
+ // complete exponent; top two bits are in place
+ exp+=GETECON(df)-DECBIAS; // .. + continuation and unbias
+ }
+ else { // IS special
+ if (exp==DECFLOAT_Inf) { // infinity
+ strcpy(c, "Infinity");
+ return string; // easy
+ }
+ if (sourhi&0x02000000) *c++='s'; // sNaN
+ strcpy(c, "NaN"); // complete word
+ c+=3; // step past
+ // quick exit if the payload is zero
+ #if DECPMAX==7
+ if ((sourhi&0x000fffff)==0) return string;
+ #elif DECPMAX==16
+ if (sourlo==0 && (sourhi&0x0003ffff)==0) return string;
+ #elif DECPMAX==34
+ if (sourlo==0 && sourml==0 && sourmh==0
+ && (sourhi&0x00003fff)==0) return string;
+ #endif
+ // otherwise drop through to add integer; set correct exp etc.
+ exp=0; msd=0; // setup for following code
+ }
+
+ /* convert the digits of the significand to characters */
+ cstart=c; // save start of coefficient
+ if (msd) *c++=(char)('0'+(char)msd); // non-zero most significant digit
+
+ // Decode the declets. After extracting each declet, it is
+ // decoded to a 4-uByte sequence by table lookup; the four uBytes
+ // are the three encoded BCD8 digits followed by a 1-byte length
+ // (significant digits, except that 000 has length 0). This allows
+ // us to left-align the first declet with non-zero content, then
+ // the remaining ones are full 3-char length. Fixed-length copies
+ // are used because variable-length memcpy causes a subroutine call
+ // in at least two compilers. (The copies are length 4 for speed
+ // and are safe because the last item in the array is of length
+ // three and has the length byte following.)
+ #define dpd2char(dpdin) u=&DPD2BCD8[((dpdin)&0x3ff)*4]; \
+ if (c!=cstart) {UBFROMUI(c, UBTOUI(u)|CHARMASK); c+=3;} \
+ else if (*(u+3)) { \
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); c+=*(u+3);}
+
+ #if DECPMAX==7
+ dpd2char(sourhi>>10); // declet 1
+ dpd2char(sourhi); // declet 2
+
+ #elif DECPMAX==16
+ dpd2char(sourhi>>8); // declet 1
+ dpd2char((sourhi<<2) | (sourlo>>30)); // declet 2
+ dpd2char(sourlo>>20); // declet 3
+ dpd2char(sourlo>>10); // declet 4
+ dpd2char(sourlo); // declet 5
+
+ #elif DECPMAX==34
+ dpd2char(sourhi>>4); // declet 1
+ dpd2char((sourhi<<6) | (sourmh>>26)); // declet 2
+ dpd2char(sourmh>>16); // declet 3
+ dpd2char(sourmh>>6); // declet 4
+ dpd2char((sourmh<<4) | (sourml>>28)); // declet 5
+ dpd2char(sourml>>18); // declet 6
+ dpd2char(sourml>>8); // declet 7
+ dpd2char((sourml<<2) | (sourlo>>30)); // declet 8
+ dpd2char(sourlo>>20); // declet 9
+ dpd2char(sourlo>>10); // declet 10
+ dpd2char(sourlo); // declet 11
+ #endif
+
+ if (c==cstart) *c++='0'; // all zeros, empty -- make "0"
+
+ //[This fast path is valid but adds 3-5 cycles to worst case length]
+ //if (exp==0) { // integer or NaN case -- easy
+ // *c='\0'; // terminate
+ // return string;
+ // }
+
+ e=0; // assume no E
+ pre=(Int)(c-cstart)+exp; // length+exp [c->LSD+1]
+ // [here, pre-exp is the digits count (==1 for zero)]
+
+ if (exp>0 || pre<-5) { // need exponential form
+ e=pre-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ } // exponential form
+
+ /* modify the coefficient, adding 0s, '.', and E+nn as needed */
+ if (pre>0) { // ddd.ddd (plain), perhaps with E
+ char *dotat=cstart+pre;
+ if (dotat=dotat; s-=4, t-=4) UBFROMUI(t, UBTOUI(s));
+ *dotat='.';
+ c++; // length increased by one
+ } // need dot?
+
+ // finally add the E-part, if needed; it will never be 0, and has
+ // a maximum length of 3 or 4 digits (asserted above)
+ if (e!=0) {
+ memcpy(c, "E+", 2); // starts with E, assume +
+ c++;
+ if (e<0) {
+ *c='-'; // oops, need '-'
+ e=-e; // uInt, please
+ }
+ c++;
+ // Three-character exponents are easy; 4-character a little trickier
+ #if DECEMAXD<=3
+ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte
+ // copy fixed 4 characters [is safe], starting at non-zero
+ // and with character mask to convert BCD to char
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK);
+ c+=*(u+3); // bump pointer appropriately
+ #elif DECEMAXD==4
+ if (e<1000) { // 3 (or fewer) digits case
+ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); // [as above]
+ c+=*(u+3); // bump pointer appropriately
+ }
+ else { // 4-digits
+ Int thou=((e>>3)*1049)>>17; // e/1000
+ Int rem=e-(1000*thou); // e%1000
+ *c++=(char)('0'+(char)thou); // the thousands digit
+ u=&BIN2BCD8[rem*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u)|CHARMASK); // copy fixed 3+1 characters [is safe]
+ c+=3; // bump pointer, always 3 digits
+ }
+ #endif
+ }
+ *c='\0'; // add terminator
+ //printf("res %s\n", string);
+ return string;
+ } // pre>0
+
+ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
+ // Surprisingly, this is close to being the worst-case path, so the
+ // shift is done by fours; this is a little tricky because the
+ // rightmost character to be written must not be beyond where the
+ // rightmost terminator could be -- so backoff to not touch
+ // terminator position if need be (this can make exact alignments
+ // for full Doubles, but in some cases needs care not to access too
+ // far to the left)
+
+ pre=-pre+2; // gap width, including "0."
+ t=cstart+ROUNDDOWN4(c-cstart)+pre; // preferred first target point
+ // backoff if too far to the right
+ if (t>string+DECSTRING-5) t=string+DECSTRING-5; // adjust to fit
+ // now shift the entire coefficient to the right, being careful not
+ // to access to the left of string [cannot use memcpy]
+ for (s=t-pre; s>=string; s-=4, t-=4) UBFROMUI(t, UBTOUI(s));
+ // for Quads and Singles there may be a character or two left...
+ s+=3; // where next would come from
+ for(; s>=cstart; s--, t--) *(t+3)=*(s);
+ // now have fill 0. through 0.00000; use overlaps to avoid tests
+ if (pre>=4) {
+ memcpy(cstart+pre-4, "0000", 4);
+ memcpy(cstart, "0.00", 4);
+ }
+ else { // 2 or 3
+ *(cstart+pre-1)='0';
+ memcpy(cstart, "0.", 2);
+ }
+ *(c+pre)='\0'; // terminate
+ return string;
+ } // decFloatToString
+
+/* ------------------------------------------------------------------ */
+/* decFloatToWider -- conversion to next-wider format */
+/* */
+/* source is the decFloat format number which gets the result of */
+/* the conversion */
+/* wider is the decFloatWider format number which will be narrowed */
+/* returns wider */
+/* */
+/* Widening is always exact; no status is set (sNaNs are copied and */
+/* do not signal). The result will be canonical if the source is, */
+/* and may or may not be if the source is not. */
+/* ------------------------------------------------------------------ */
+// widening is not possible for decQuad format numbers; simply omit
+#if !QUAD
+decFloatWider * decFloatToWider(const decFloat *source, decFloatWider *wider) {
+ uInt msd;
+
+ /* Construct and copy the sign word */
+ if (DFISSPECIAL(source)) {
+ // copy sign, combination, and first bit of exponent (sNaN selector)
+ DFWWORD(wider, 0)=DFWORD(source, 0)&0xfe000000;
+ msd=0;
+ }
+ else { // is finite number
+ uInt exp=GETEXPUN(source)+DECWBIAS; // get unbiased exponent and rebias
+ uInt code=(exp>>DECWECONL)<<29; // set two bits of exp [msd=0]
+ code|=(exp<<(32-6-DECWECONL)) & 0x03ffffff; // add exponent continuation
+ code|=DFWORD(source, 0)&0x80000000; // add sign
+ DFWWORD(wider, 0)=code; // .. and place top word in wider
+ msd=GETMSD(source); // get source coefficient MSD [0-9]
+ }
+ /* Copy the coefficient and clear any 'unused' words to left */
+ #if SINGLE
+ DFWWORD(wider, 1)=(DFWORD(source, 0)&0x000fffff)|(msd<<20);
+ #elif DOUBLE
+ DFWWORD(wider, 2)=(DFWORD(source, 0)&0x0003ffff)|(msd<<18);
+ DFWWORD(wider, 3)=DFWORD(source, 1);
+ DFWWORD(wider, 1)=0;
+ #endif
+ return wider;
+ } // decFloatToWider
+#endif
+
+/* ------------------------------------------------------------------ */
+/* decFloatVersion -- return package version string */
+/* */
+/* returns a constant string describing this package */
+/* ------------------------------------------------------------------ */
+const char *decFloatVersion(void) {
+ return DECVERSION;
+ } // decFloatVersion
+
+/* ------------------------------------------------------------------ */
+/* decFloatZero -- set to canonical (integer) zero */
+/* */
+/* df is the decFloat format number to integer +0 (q=0, c=+0) */
+/* returns df */
+/* */
+/* No error is possible, and no status can be set. */
+/* ------------------------------------------------------------------ */
+decFloat * decFloatZero(decFloat *df){
+ DFWORD(df, 0)=ZEROWORD; // set appropriate top word
+ #if DOUBLE || QUAD
+ DFWORD(df, 1)=0;
+ #if QUAD
+ DFWORD(df, 2)=0;
+ DFWORD(df, 3)=0;
+ #endif
+ #endif
+ // decFloatShow(df, "zero");
+ return df;
+ } // decFloatZero
+
+/* ------------------------------------------------------------------ */
+/* Private generic function (not format-specific) for development use */
+/* ------------------------------------------------------------------ */
+// This is included once only, for all to use
+#if QUAD && (DECCHECK || DECTRACE)
+ /* ---------------------------------------------------------------- */
+ /* decShowNum -- display bcd8 number in debug form */
+ /* */
+ /* num is the bcdnum to display */
+ /* tag is a string to label the display */
+ /* ---------------------------------------------------------------- */
+ void decShowNum(const bcdnum *num, const char *tag) {
+ const char *csign="+"; // sign character
+ uByte *ub; // work
+ uInt uiwork; // for macros
+ if (num->sign==DECFLOAT_Sign) csign="-";
+
+ printf(">%s> ", tag);
+ if (num->exponent==DECFLOAT_Inf) printf("%sInfinity", csign);
+ else if (num->exponent==DECFLOAT_qNaN) printf("%sqNaN", csign);
+ else if (num->exponent==DECFLOAT_sNaN) printf("%ssNaN", csign);
+ else { // finite
+ char qbuf[10]; // for right-aligned q
+ char *c; // work
+ const uByte *u; // ..
+ Int e=num->exponent; // .. exponent
+ strcpy(qbuf, "q=");
+ c=&qbuf[2]; // where exponent will go
+ // lay out the exponent
+ if (e<0) {
+ *c++='-'; // add '-'
+ e=-e; // uInt, please
+ }
+ #if DECEMAXD>4
+ #error Exponent form is too long for ShowNum to lay out
+ #endif
+ if (e==0) *c++='0'; // 0-length case
+ else if (e<1000) { // 3 (or fewer) digits case
+ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); // [as above]
+ c+=*(u+3); // bump pointer appropriately
+ }
+ else { // 4-digits
+ Int thou=((e>>3)*1049)>>17; // e/1000
+ Int rem=e-(1000*thou); // e%1000
+ *c++=(char)('0'+(char)thou); // the thousands digit
+ u=&BIN2BCD8[rem*4]; // -> 3 digits + length byte
+ UBFROMUI(c, UBTOUI(u)|CHARMASK); // copy fixed 3+1 characters [is safe]
+ c+=3; // bump pointer, always 3 digits
+ }
+ *c='\0'; // add terminator
+ printf("%7s c=%s", qbuf, csign);
+ }
+
+ if (!EXPISSPECIAL(num->exponent) || num->msd!=num->lsd || *num->lsd!=0) {
+ for (ub=num->msd; ub<=num->lsd; ub++) { // coefficient...
+ printf("%1x", *ub);
+ if ((num->lsd-ub)%3==0 && ub!=num->lsd) printf(" "); // 4-space
+ }
+ }
+ printf("\n");
+ } // decShowNum
+#endif
diff --git a/extern/decNumber/decContext.c b/extern/decNumber/decContext.c
new file mode 100644
index 0000000000..6db29be034
--- /dev/null
+++ b/extern/decNumber/decContext.c
@@ -0,0 +1,437 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Context module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2009. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for handling arithmetic */
+/* context structures. */
+/* ------------------------------------------------------------------ */
+
+#include // for strcmp
+#include // for printf if DECCHECK
+#include "decContext.h" // context and base types
+#include "decNumberLocal.h" // decNumber local types, etc.
+
+/* compile-time endian tester [assumes sizeof(Int)>1] */
+static const Int mfcone=1; // constant 1
+static const Flag *mfctop=(const Flag *)&mfcone; // -> top byte
+#define LITEND *mfctop // named flag; 1=little-endian
+
+/* ------------------------------------------------------------------ */
+/* round-for-reround digits */
+/* ------------------------------------------------------------------ */
+const uByte DECSTICKYTAB[10]={1,1,2,3,4,6,6,7,8,9}; /* used if sticky */
+
+/* ------------------------------------------------------------------ */
+/* Powers of ten (powers[n]==10**n, 0<=n<=9) */
+/* ------------------------------------------------------------------ */
+const uInt DECPOWERS[10]={1, 10, 100, 1000, 10000, 100000, 1000000,
+ 10000000, 100000000, 1000000000};
+
+/* ------------------------------------------------------------------ */
+/* decContextClearStatus -- clear bits in current status */
+/* */
+/* context is the context structure to be queried */
+/* mask indicates the bits to be cleared (the status bit that */
+/* corresponds to each 1 bit in the mask is cleared) */
+/* returns context */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decContext *decContextClearStatus(decContext *context, uInt mask) {
+ context->status&=~mask;
+ return context;
+ } // decContextClearStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextDefault -- initialize a context structure */
+/* */
+/* context is the structure to be initialized */
+/* kind selects the required set of default values, one of: */
+/* DEC_INIT_BASE -- select ANSI X3-274 defaults */
+/* DEC_INIT_DECIMAL32 -- select IEEE 754 defaults, 32-bit */
+/* DEC_INIT_DECIMAL64 -- select IEEE 754 defaults, 64-bit */
+/* DEC_INIT_DECIMAL128 -- select IEEE 754 defaults, 128-bit */
+/* For any other value a valid context is returned, but with */
+/* Invalid_operation set in the status field. */
+/* returns a context structure with the appropriate initial values. */
+/* ------------------------------------------------------------------ */
+decContext * decContextDefault(decContext *context, Int kind) {
+ // set defaults...
+ context->digits=9; // 9 digits
+ context->emax=DEC_MAX_EMAX; // 9-digit exponents
+ context->emin=DEC_MIN_EMIN; // .. balanced
+ context->round=DEC_ROUND_HALF_UP; // 0.5 rises
+ context->traps=DEC_Errors; // all but informational
+ context->status=0; // cleared
+ context->clamp=0; // no clamping
+ #if DECSUBSET
+ context->extended=0; // cleared
+ #endif
+ switch (kind) {
+ case DEC_INIT_BASE:
+ // [use defaults]
+ break;
+ case DEC_INIT_DECIMAL32:
+ context->digits=7; // digits
+ context->emax=96; // Emax
+ context->emin=-95; // Emin
+ context->round=DEC_ROUND_HALF_EVEN; // 0.5 to nearest even
+ context->traps=0; // no traps set
+ context->clamp=1; // clamp exponents
+ #if DECSUBSET
+ context->extended=1; // set
+ #endif
+ break;
+ case DEC_INIT_DECIMAL64:
+ context->digits=16; // digits
+ context->emax=384; // Emax
+ context->emin=-383; // Emin
+ context->round=DEC_ROUND_HALF_EVEN; // 0.5 to nearest even
+ context->traps=0; // no traps set
+ context->clamp=1; // clamp exponents
+ #if DECSUBSET
+ context->extended=1; // set
+ #endif
+ break;
+ case DEC_INIT_DECIMAL128:
+ context->digits=34; // digits
+ context->emax=6144; // Emax
+ context->emin=-6143; // Emin
+ context->round=DEC_ROUND_HALF_EVEN; // 0.5 to nearest even
+ context->traps=0; // no traps set
+ context->clamp=1; // clamp exponents
+ #if DECSUBSET
+ context->extended=1; // set
+ #endif
+ break;
+
+ default: // invalid Kind
+ // use defaults, and ..
+ decContextSetStatus(context, DEC_Invalid_operation); // trap
+ }
+
+ return context;} // decContextDefault
+
+/* ------------------------------------------------------------------ */
+/* decContextGetRounding -- return current rounding mode */
+/* */
+/* context is the context structure to be queried */
+/* returns the rounding mode */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+enum rounding decContextGetRounding(decContext *context) {
+ return context->round;
+ } // decContextGetRounding
+
+/* ------------------------------------------------------------------ */
+/* decContextGetStatus -- return current status */
+/* */
+/* context is the context structure to be queried */
+/* returns status */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decContextGetStatus(decContext *context) {
+ return context->status;
+ } // decContextGetStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextRestoreStatus -- restore bits in current status */
+/* */
+/* context is the context structure to be updated */
+/* newstatus is the source for the bits to be restored */
+/* mask indicates the bits to be restored (the status bit that */
+/* corresponds to each 1 bit in the mask is set to the value of */
+/* the correspnding bit in newstatus) */
+/* returns context */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decContext *decContextRestoreStatus(decContext *context,
+ uInt newstatus, uInt mask) {
+ context->status&=~mask; // clear the selected bits
+ context->status|=(mask&newstatus); // or in the new bits
+ return context;
+ } // decContextRestoreStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextSaveStatus -- save bits in current status */
+/* */
+/* context is the context structure to be queried */
+/* mask indicates the bits to be saved (the status bits that */
+/* correspond to each 1 bit in the mask are saved) */
+/* returns the AND of the mask and the current status */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decContextSaveStatus(decContext *context, uInt mask) {
+ return context->status&mask;
+ } // decContextSaveStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextSetRounding -- set current rounding mode */
+/* */
+/* context is the context structure to be updated */
+/* newround is the value which will replace the current mode */
+/* returns context */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decContext *decContextSetRounding(decContext *context,
+ enum rounding newround) {
+ context->round=newround;
+ return context;
+ } // decContextSetRounding
+
+/* ------------------------------------------------------------------ */
+/* decContextSetStatus -- set status and raise trap if appropriate */
+/* */
+/* context is the context structure to be updated */
+/* status is the DEC_ exception code */
+/* returns the context structure */
+/* */
+/* Control may never return from this routine, if there is a signal */
+/* handler and it takes a long jump. */
+/* ------------------------------------------------------------------ */
+decContext * decContextSetStatus(decContext *context, uInt status) {
+ context->status|=status;
+ if (status & context->traps) raise(SIGFPE);
+ return context;} // decContextSetStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextSetStatusFromString -- set status from a string + trap */
+/* */
+/* context is the context structure to be updated */
+/* string is a string exactly equal to one that might be returned */
+/* by decContextStatusToString */
+/* */
+/* The status bit corresponding to the string is set, and a trap */
+/* is raised if appropriate. */
+/* */
+/* returns the context structure, unless the string is equal to */
+/* DEC_Condition_MU or is not recognized. In these cases NULL is */
+/* returned. */
+/* ------------------------------------------------------------------ */
+decContext * decContextSetStatusFromString(decContext *context,
+ const char *string) {
+ if (strcmp(string, DEC_Condition_CS)==0)
+ return decContextSetStatus(context, DEC_Conversion_syntax);
+ if (strcmp(string, DEC_Condition_DZ)==0)
+ return decContextSetStatus(context, DEC_Division_by_zero);
+ if (strcmp(string, DEC_Condition_DI)==0)
+ return decContextSetStatus(context, DEC_Division_impossible);
+ if (strcmp(string, DEC_Condition_DU)==0)
+ return decContextSetStatus(context, DEC_Division_undefined);
+ if (strcmp(string, DEC_Condition_IE)==0)
+ return decContextSetStatus(context, DEC_Inexact);
+ if (strcmp(string, DEC_Condition_IS)==0)
+ return decContextSetStatus(context, DEC_Insufficient_storage);
+ if (strcmp(string, DEC_Condition_IC)==0)
+ return decContextSetStatus(context, DEC_Invalid_context);
+ if (strcmp(string, DEC_Condition_IO)==0)
+ return decContextSetStatus(context, DEC_Invalid_operation);
+ #if DECSUBSET
+ if (strcmp(string, DEC_Condition_LD)==0)
+ return decContextSetStatus(context, DEC_Lost_digits);
+ #endif
+ if (strcmp(string, DEC_Condition_OV)==0)
+ return decContextSetStatus(context, DEC_Overflow);
+ if (strcmp(string, DEC_Condition_PA)==0)
+ return decContextSetStatus(context, DEC_Clamped);
+ if (strcmp(string, DEC_Condition_RO)==0)
+ return decContextSetStatus(context, DEC_Rounded);
+ if (strcmp(string, DEC_Condition_SU)==0)
+ return decContextSetStatus(context, DEC_Subnormal);
+ if (strcmp(string, DEC_Condition_UN)==0)
+ return decContextSetStatus(context, DEC_Underflow);
+ if (strcmp(string, DEC_Condition_ZE)==0)
+ return context;
+ return NULL; // Multiple status, or unknown
+ } // decContextSetStatusFromString
+
+/* ------------------------------------------------------------------ */
+/* decContextSetStatusFromStringQuiet -- set status from a string */
+/* */
+/* context is the context structure to be updated */
+/* string is a string exactly equal to one that might be returned */
+/* by decContextStatusToString */
+/* */
+/* The status bit corresponding to the string is set; no trap is */
+/* raised. */
+/* */
+/* returns the context structure, unless the string is equal to */
+/* DEC_Condition_MU or is not recognized. In these cases NULL is */
+/* returned. */
+/* ------------------------------------------------------------------ */
+decContext * decContextSetStatusFromStringQuiet(decContext *context,
+ const char *string) {
+ if (strcmp(string, DEC_Condition_CS)==0)
+ return decContextSetStatusQuiet(context, DEC_Conversion_syntax);
+ if (strcmp(string, DEC_Condition_DZ)==0)
+ return decContextSetStatusQuiet(context, DEC_Division_by_zero);
+ if (strcmp(string, DEC_Condition_DI)==0)
+ return decContextSetStatusQuiet(context, DEC_Division_impossible);
+ if (strcmp(string, DEC_Condition_DU)==0)
+ return decContextSetStatusQuiet(context, DEC_Division_undefined);
+ if (strcmp(string, DEC_Condition_IE)==0)
+ return decContextSetStatusQuiet(context, DEC_Inexact);
+ if (strcmp(string, DEC_Condition_IS)==0)
+ return decContextSetStatusQuiet(context, DEC_Insufficient_storage);
+ if (strcmp(string, DEC_Condition_IC)==0)
+ return decContextSetStatusQuiet(context, DEC_Invalid_context);
+ if (strcmp(string, DEC_Condition_IO)==0)
+ return decContextSetStatusQuiet(context, DEC_Invalid_operation);
+ #if DECSUBSET
+ if (strcmp(string, DEC_Condition_LD)==0)
+ return decContextSetStatusQuiet(context, DEC_Lost_digits);
+ #endif
+ if (strcmp(string, DEC_Condition_OV)==0)
+ return decContextSetStatusQuiet(context, DEC_Overflow);
+ if (strcmp(string, DEC_Condition_PA)==0)
+ return decContextSetStatusQuiet(context, DEC_Clamped);
+ if (strcmp(string, DEC_Condition_RO)==0)
+ return decContextSetStatusQuiet(context, DEC_Rounded);
+ if (strcmp(string, DEC_Condition_SU)==0)
+ return decContextSetStatusQuiet(context, DEC_Subnormal);
+ if (strcmp(string, DEC_Condition_UN)==0)
+ return decContextSetStatusQuiet(context, DEC_Underflow);
+ if (strcmp(string, DEC_Condition_ZE)==0)
+ return context;
+ return NULL; // Multiple status, or unknown
+ } // decContextSetStatusFromStringQuiet
+
+/* ------------------------------------------------------------------ */
+/* decContextSetStatusQuiet -- set status without trap */
+/* */
+/* context is the context structure to be updated */
+/* status is the DEC_ exception code */
+/* returns the context structure */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decContext * decContextSetStatusQuiet(decContext *context, uInt status) {
+ context->status|=status;
+ return context;} // decContextSetStatusQuiet
+
+/* ------------------------------------------------------------------ */
+/* decContextStatusToString -- convert status flags to a string */
+/* */
+/* context is a context with valid status field */
+/* */
+/* returns a constant string describing the condition. If multiple */
+/* (or no) flags are set, a generic constant message is returned. */
+/* ------------------------------------------------------------------ */
+const char *decContextStatusToString(const decContext *context) {
+ Int status=context->status;
+
+ // test the five IEEE first, as some of the others are ambiguous when
+ // DECEXTFLAG=0
+ if (status==DEC_Invalid_operation ) return DEC_Condition_IO;
+ if (status==DEC_Division_by_zero ) return DEC_Condition_DZ;
+ if (status==DEC_Overflow ) return DEC_Condition_OV;
+ if (status==DEC_Underflow ) return DEC_Condition_UN;
+ if (status==DEC_Inexact ) return DEC_Condition_IE;
+
+ if (status==DEC_Division_impossible ) return DEC_Condition_DI;
+ if (status==DEC_Division_undefined ) return DEC_Condition_DU;
+ if (status==DEC_Rounded ) return DEC_Condition_RO;
+ if (status==DEC_Clamped ) return DEC_Condition_PA;
+ if (status==DEC_Subnormal ) return DEC_Condition_SU;
+ if (status==DEC_Conversion_syntax ) return DEC_Condition_CS;
+ if (status==DEC_Insufficient_storage ) return DEC_Condition_IS;
+ if (status==DEC_Invalid_context ) return DEC_Condition_IC;
+ #if DECSUBSET
+ if (status==DEC_Lost_digits ) return DEC_Condition_LD;
+ #endif
+ if (status==0 ) return DEC_Condition_ZE;
+ return DEC_Condition_MU; // Multiple errors
+ } // decContextStatusToString
+
+/* ------------------------------------------------------------------ */
+/* decContextTestEndian -- test whether DECLITEND is set correctly */
+/* */
+/* quiet is 1 to suppress message; 0 otherwise */
+/* returns 0 if DECLITEND is correct */
+/* 1 if DECLITEND is incorrect and should be 1 */
+/* -1 if DECLITEND is incorrect and should be 0 */
+/* */
+/* A message is displayed if the return value is not 0 and quiet==0. */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+Int decContextTestEndian(Flag quiet) {
+ Int res=0; // optimist
+ uInt dle=(uInt)DECLITEND; // unsign
+ if (dle>1) dle=1; // ensure 0 or 1
+
+ if (LITEND!=DECLITEND) {
+ if (!quiet) { // always refer to this
+ #if DECPRINT
+ const char *adj;
+ if (LITEND) adj="little";
+ else adj="big";
+ printf("Warning: DECLITEND is set to %d, but this computer appears to be %s-endian\n",
+ DECLITEND, adj);
+ #endif
+ }
+ res=(Int)LITEND-dle;
+ }
+ return res;
+ } // decContextTestEndian
+
+/* ------------------------------------------------------------------ */
+/* decContextTestSavedStatus -- test bits in saved status */
+/* */
+/* oldstatus is the status word to be tested */
+/* mask indicates the bits to be tested (the oldstatus bits that */
+/* correspond to each 1 bit in the mask are tested) */
+/* returns 1 if any of the tested bits are 1, or 0 otherwise */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decContextTestSavedStatus(uInt oldstatus, uInt mask) {
+ return (oldstatus&mask)!=0;
+ } // decContextTestSavedStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextTestStatus -- test bits in current status */
+/* */
+/* context is the context structure to be updated */
+/* mask indicates the bits to be tested (the status bits that */
+/* correspond to each 1 bit in the mask are tested) */
+/* returns 1 if any of the tested bits are 1, or 0 otherwise */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decContextTestStatus(decContext *context, uInt mask) {
+ return (context->status&mask)!=0;
+ } // decContextTestStatus
+
+/* ------------------------------------------------------------------ */
+/* decContextZeroStatus -- clear all status bits */
+/* */
+/* context is the context structure to be updated */
+/* returns context */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decContext *decContextZeroStatus(decContext *context) {
+ context->status=0;
+ return context;
+ } // decContextZeroStatus
+
diff --git a/extern/decNumber/decContext.h b/extern/decNumber/decContext.h
new file mode 100644
index 0000000000..f5dca1d305
--- /dev/null
+++ b/extern/decNumber/decContext.h
@@ -0,0 +1,254 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Context module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* */
+/* Context variables must always have valid values: */
+/* */
+/* status -- [any bits may be cleared, but not set, by user] */
+/* round -- must be one of the enumerated rounding modes */
+/* */
+/* The following variables are implied for fixed size formats (i.e., */
+/* they are ignored) but should still be set correctly in case used */
+/* with decNumber functions: */
+/* */
+/* clamp -- must be either 0 or 1 */
+/* digits -- must be in the range 1 through 999999999 */
+/* emax -- must be in the range 0 through 999999999 */
+/* emin -- must be in the range 0 through -999999999 */
+/* extended -- must be either 0 or 1 [present only if DECSUBSET] */
+/* traps -- only defined bits may be set */
+/* */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECCONTEXT)
+ #define DECCONTEXT
+ #define DECCNAME "decContext" /* Short name */
+ #define DECCFULLNAME "Decimal Context Descriptor" /* Verbose name */
+ #define DECCAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ #if !defined(int32_t)
+ #include /* C99 standard integers */
+ #endif
+ #include /* for printf, etc. */
+ #include /* for traps */
+
+ /* Extended flags setting -- set this to 0 to use only IEEE flags */
+ #if !defined(DECEXTFLAG)
+ #define DECEXTFLAG 1 /* 1=enable extended flags */
+ #endif
+
+ /* Conditional code flag -- set this to 0 for best performance */
+ #if !defined(DECSUBSET)
+ #define DECSUBSET 0 /* 1=enable subset arithmetic */
+ #endif
+
+ /* Context for operations, with associated constants */
+ enum rounding {
+ DEC_ROUND_CEILING, /* round towards +infinity */
+ DEC_ROUND_UP, /* round away from 0 */
+ DEC_ROUND_HALF_UP, /* 0.5 rounds up */
+ DEC_ROUND_HALF_EVEN, /* 0.5 rounds to nearest even */
+ DEC_ROUND_HALF_DOWN, /* 0.5 rounds down */
+ DEC_ROUND_DOWN, /* round towards 0 (truncate) */
+ DEC_ROUND_FLOOR, /* round towards -infinity */
+ DEC_ROUND_05UP, /* round for reround */
+ DEC_ROUND_MAX /* enum must be less than this */
+ };
+ #define DEC_ROUND_DEFAULT DEC_ROUND_HALF_EVEN;
+
+ typedef struct {
+ int32_t digits; /* working precision */
+ int32_t emax; /* maximum positive exponent */
+ int32_t emin; /* minimum negative exponent */
+ enum rounding round; /* rounding mode */
+ uint32_t traps; /* trap-enabler flags */
+ uint32_t status; /* status flags */
+ uint8_t clamp; /* flag: apply IEEE exponent clamp */
+ #if DECSUBSET
+ uint8_t extended; /* flag: special-values allowed */
+ #endif
+ } decContext;
+
+ /* Maxima and Minima for context settings */
+ #define DEC_MAX_DIGITS 999999999
+ #define DEC_MIN_DIGITS 1
+ #define DEC_MAX_EMAX 999999999
+ #define DEC_MIN_EMAX 0
+ #define DEC_MAX_EMIN 0
+ #define DEC_MIN_EMIN -999999999
+ #define DEC_MAX_MATH 999999 /* max emax, etc., for math funcs. */
+
+ /* Classifications for decimal numbers, aligned with 754 (note that */
+ /* 'normal' and 'subnormal' are meaningful only with a decContext */
+ /* or a fixed size format). */
+ enum decClass {
+ DEC_CLASS_SNAN,
+ DEC_CLASS_QNAN,
+ DEC_CLASS_NEG_INF,
+ DEC_CLASS_NEG_NORMAL,
+ DEC_CLASS_NEG_SUBNORMAL,
+ DEC_CLASS_NEG_ZERO,
+ DEC_CLASS_POS_ZERO,
+ DEC_CLASS_POS_SUBNORMAL,
+ DEC_CLASS_POS_NORMAL,
+ DEC_CLASS_POS_INF
+ };
+ /* Strings for the decClasses */
+ #define DEC_ClassString_SN "sNaN"
+ #define DEC_ClassString_QN "NaN"
+ #define DEC_ClassString_NI "-Infinity"
+ #define DEC_ClassString_NN "-Normal"
+ #define DEC_ClassString_NS "-Subnormal"
+ #define DEC_ClassString_NZ "-Zero"
+ #define DEC_ClassString_PZ "+Zero"
+ #define DEC_ClassString_PS "+Subnormal"
+ #define DEC_ClassString_PN "+Normal"
+ #define DEC_ClassString_PI "+Infinity"
+ #define DEC_ClassString_UN "Invalid"
+
+ /* Trap-enabler and Status flags (exceptional conditions), and */
+ /* their names. The top byte is reserved for internal use */
+ #if DECEXTFLAG
+ /* Extended flags */
+ #define DEC_Conversion_syntax 0x00000001
+ #define DEC_Division_by_zero 0x00000002
+ #define DEC_Division_impossible 0x00000004
+ #define DEC_Division_undefined 0x00000008
+ #define DEC_Insufficient_storage 0x00000010 /* [when malloc fails] */
+ #define DEC_Inexact 0x00000020
+ #define DEC_Invalid_context 0x00000040
+ #define DEC_Invalid_operation 0x00000080
+ #if DECSUBSET
+ #define DEC_Lost_digits 0x00000100
+ #endif
+ #define DEC_Overflow 0x00000200
+ #define DEC_Clamped 0x00000400
+ #define DEC_Rounded 0x00000800
+ #define DEC_Subnormal 0x00001000
+ #define DEC_Underflow 0x00002000
+ #else
+ /* IEEE flags only */
+ #define DEC_Conversion_syntax 0x00000010
+ #define DEC_Division_by_zero 0x00000002
+ #define DEC_Division_impossible 0x00000010
+ #define DEC_Division_undefined 0x00000010
+ #define DEC_Insufficient_storage 0x00000010 /* [when malloc fails] */
+ #define DEC_Inexact 0x00000001
+ #define DEC_Invalid_context 0x00000010
+ #define DEC_Invalid_operation 0x00000010
+ #if DECSUBSET
+ #define DEC_Lost_digits 0x00000000
+ #endif
+ #define DEC_Overflow 0x00000008
+ #define DEC_Clamped 0x00000000
+ #define DEC_Rounded 0x00000000
+ #define DEC_Subnormal 0x00000000
+ #define DEC_Underflow 0x00000004
+ #endif
+
+ /* IEEE 754 groupings for the flags */
+ /* [DEC_Clamped, DEC_Lost_digits, DEC_Rounded, and DEC_Subnormal */
+ /* are not in IEEE 754] */
+ #define DEC_IEEE_754_Division_by_zero (DEC_Division_by_zero)
+ #if DECSUBSET
+ #define DEC_IEEE_754_Inexact (DEC_Inexact | DEC_Lost_digits)
+ #else
+ #define DEC_IEEE_754_Inexact (DEC_Inexact)
+ #endif
+ #define DEC_IEEE_754_Invalid_operation (DEC_Conversion_syntax | \
+ DEC_Division_impossible | \
+ DEC_Division_undefined | \
+ DEC_Insufficient_storage | \
+ DEC_Invalid_context | \
+ DEC_Invalid_operation)
+ #define DEC_IEEE_754_Overflow (DEC_Overflow)
+ #define DEC_IEEE_754_Underflow (DEC_Underflow)
+
+ /* flags which are normally errors (result is qNaN, infinite, or 0) */
+ #define DEC_Errors (DEC_IEEE_754_Division_by_zero | \
+ DEC_IEEE_754_Invalid_operation | \
+ DEC_IEEE_754_Overflow | DEC_IEEE_754_Underflow)
+ /* flags which cause a result to become qNaN */
+ #define DEC_NaNs DEC_IEEE_754_Invalid_operation
+
+ /* flags which are normally for information only (finite results) */
+ #if DECSUBSET
+ #define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact \
+ | DEC_Lost_digits)
+ #else
+ #define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact)
+ #endif
+
+ /* IEEE 854 names (for compatibility with older decNumber versions) */
+ #define DEC_IEEE_854_Division_by_zero DEC_IEEE_754_Division_by_zero
+ #define DEC_IEEE_854_Inexact DEC_IEEE_754_Inexact
+ #define DEC_IEEE_854_Invalid_operation DEC_IEEE_754_Invalid_operation
+ #define DEC_IEEE_854_Overflow DEC_IEEE_754_Overflow
+ #define DEC_IEEE_854_Underflow DEC_IEEE_754_Underflow
+
+ /* Name strings for the exceptional conditions */
+ #define DEC_Condition_CS "Conversion syntax"
+ #define DEC_Condition_DZ "Division by zero"
+ #define DEC_Condition_DI "Division impossible"
+ #define DEC_Condition_DU "Division undefined"
+ #define DEC_Condition_IE "Inexact"
+ #define DEC_Condition_IS "Insufficient storage"
+ #define DEC_Condition_IC "Invalid context"
+ #define DEC_Condition_IO "Invalid operation"
+ #if DECSUBSET
+ #define DEC_Condition_LD "Lost digits"
+ #endif
+ #define DEC_Condition_OV "Overflow"
+ #define DEC_Condition_PA "Clamped"
+ #define DEC_Condition_RO "Rounded"
+ #define DEC_Condition_SU "Subnormal"
+ #define DEC_Condition_UN "Underflow"
+ #define DEC_Condition_ZE "No status"
+ #define DEC_Condition_MU "Multiple status"
+ #define DEC_Condition_Length 21 /* length of the longest string, */
+ /* including terminator */
+
+ /* Initialization descriptors, used by decContextDefault */
+ #define DEC_INIT_BASE 0
+ #define DEC_INIT_DECIMAL32 32
+ #define DEC_INIT_DECIMAL64 64
+ #define DEC_INIT_DECIMAL128 128
+ /* Synonyms */
+ #define DEC_INIT_DECSINGLE DEC_INIT_DECIMAL32
+ #define DEC_INIT_DECDOUBLE DEC_INIT_DECIMAL64
+ #define DEC_INIT_DECQUAD DEC_INIT_DECIMAL128
+
+ /* decContext routines */
+ extern decContext * decContextClearStatus(decContext *, uint32_t);
+ extern decContext * decContextDefault(decContext *, int32_t);
+ extern enum rounding decContextGetRounding(decContext *);
+ extern uint32_t decContextGetStatus(decContext *);
+ extern decContext * decContextRestoreStatus(decContext *, uint32_t, uint32_t);
+ extern uint32_t decContextSaveStatus(decContext *, uint32_t);
+ extern decContext * decContextSetRounding(decContext *, enum rounding);
+ extern decContext * decContextSetStatus(decContext *, uint32_t);
+ extern decContext * decContextSetStatusFromString(decContext *, const char *);
+ extern decContext * decContextSetStatusFromStringQuiet(decContext *, const char *);
+ extern decContext * decContextSetStatusQuiet(decContext *, uint32_t);
+ extern const char * decContextStatusToString(const decContext *);
+ extern int32_t decContextTestEndian(uint8_t);
+ extern uint32_t decContextTestSavedStatus(uint32_t, uint32_t);
+ extern uint32_t decContextTestStatus(decContext *, uint32_t);
+ extern decContext * decContextZeroStatus(decContext *);
+
+#endif
diff --git a/extern/decNumber/decDPD.h b/extern/decNumber/decDPD.h
new file mode 100644
index 0000000000..4daad4f842
--- /dev/null
+++ b/extern/decNumber/decDPD.h
@@ -0,0 +1,1185 @@
+/* ------------------------------------------------------------------------ */
+/* Binary Coded Decimal and Densely Packed Decimal conversion lookup tables */
+/* [Automatically generated -- do not edit. 2008.06.21] */
+/* ------------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */
+/* ------------------------------------------------------------------------ */
+/* For details, see DPDecimal.html on the General Decimal Arithmetic page. */
+/* */
+/* This include file defines several DPD and BCD conversion tables: */
+/* */
+/* uint16_t BCD2DPD[2458]; -- BCD -> DPD (0x999 => 2457) */
+/* uint16_t BIN2DPD[1000]; -- Bin -> DPD (999 => 2457) */
+/* uint8_t BIN2CHAR[4001]; -- Bin -> CHAR (999 => '\3' '9' '9' '9') */
+/* uint8_t BIN2BCD8[4000]; -- Bin -> bytes (999 => 9 9 9 3) */
+/* uint16_t DPD2BCD[1024]; -- DPD -> BCD (0x3FF => 0x999) */
+/* uint16_t DPD2BIN[1024]; -- DPD -> BIN (0x3FF => 999) */
+/* uint32_t DPD2BINK[1024]; -- DPD -> BIN * 1000 (0x3FF => 999000) */
+/* uint32_t DPD2BINM[1024]; -- DPD -> BIN * 1E+6 (0x3FF => 999000000) */
+/* uint8_t DPD2BCD8[4096]; -- DPD -> bytes (x3FF => 9 9 9 3) */
+/* */
+/* In all cases the result (10 bits or 12 bits, or binary) is right-aligned */
+/* in the table entry. BIN2CHAR entries are a single byte length (0 for */
+/* value 0) followed by three digit characters; a trailing terminator is */
+/* included to allow 4-char moves always. BIN2BCD8 and DPD2BCD8 entries */
+/* are similar with the three BCD8 digits followed by a one-byte length */
+/* (again, length=0 for value 0). */
+/* */
+/* To use a table, its name, prefixed with DEC_, must be defined with a */
+/* value of 1 before this header file is included. For example: */
+/* #define DEC_BCD2DPD 1 */
+/* This mechanism allows software to only include tables that are needed. */
+/* ------------------------------------------------------------------------ */
+
+#if defined(DEC_BCD2DPD) && DEC_BCD2DPD==1 && !defined(DECBCD2DPD)
+#define DECBCD2DPD
+
+const uint16_t BCD2DPD[2458]={ 0, 1, 2, 3, 4, 5, 6, 7,
+ 8, 9, 0, 0, 0, 0, 0, 0, 16, 17, 18, 19, 20,
+ 21, 22, 23, 24, 25, 0, 0, 0, 0, 0, 0, 32, 33,
+ 34, 35, 36, 37, 38, 39, 40, 41, 0, 0, 0, 0, 0,
+ 0, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 0, 0,
+ 0, 0, 0, 0, 64, 65, 66, 67, 68, 69, 70, 71, 72,
+ 73, 0, 0, 0, 0, 0, 0, 80, 81, 82, 83, 84, 85,
+ 86, 87, 88, 89, 0, 0, 0, 0, 0, 0, 96, 97, 98,
+ 99, 100, 101, 102, 103, 104, 105, 0, 0, 0, 0, 0, 0,
+ 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 0, 0, 0,
+ 0, 0, 0, 10, 11, 42, 43, 74, 75, 106, 107, 78, 79,
+ 0, 0, 0, 0, 0, 0, 26, 27, 58, 59, 90, 91, 122,
+ 123, 94, 95, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 0, 0,
+ 0, 0, 0, 0, 144, 145, 146, 147, 148, 149, 150, 151, 152,
+ 153, 0, 0, 0, 0, 0, 0, 160, 161, 162, 163, 164, 165,
+ 166, 167, 168, 169, 0, 0, 0, 0, 0, 0, 176, 177, 178,
+ 179, 180, 181, 182, 183, 184, 185, 0, 0, 0, 0, 0, 0,
+ 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 0, 0, 0,
+ 0, 0, 0, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217,
+ 0, 0, 0, 0, 0, 0, 224, 225, 226, 227, 228, 229, 230,
+ 231, 232, 233, 0, 0, 0, 0, 0, 0, 240, 241, 242, 243,
+ 244, 245, 246, 247, 248, 249, 0, 0, 0, 0, 0, 0, 138,
+ 139, 170, 171, 202, 203, 234, 235, 206, 207, 0, 0, 0, 0,
+ 0, 0, 154, 155, 186, 187, 218, 219, 250, 251, 222, 223, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 257, 258,
+ 259, 260, 261, 262, 263, 264, 265, 0, 0, 0, 0, 0, 0,
+ 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 0, 0, 0,
+ 0, 0, 0, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297,
+ 0, 0, 0, 0, 0, 0, 304, 305, 306, 307, 308, 309, 310,
+ 311, 312, 313, 0, 0, 0, 0, 0, 0, 320, 321, 322, 323,
+ 324, 325, 326, 327, 328, 329, 0, 0, 0, 0, 0, 0, 336,
+ 337, 338, 339, 340, 341, 342, 343, 344, 345, 0, 0, 0, 0,
+ 0, 0, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 0,
+ 0, 0, 0, 0, 0, 368, 369, 370, 371, 372, 373, 374, 375,
+ 376, 377, 0, 0, 0, 0, 0, 0, 266, 267, 298, 299, 330,
+ 331, 362, 363, 334, 335, 0, 0, 0, 0, 0, 0, 282, 283,
+ 314, 315, 346, 347, 378, 379, 350, 351, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 384, 385, 386, 387, 388, 389, 390,
+ 391, 392, 393, 0, 0, 0, 0, 0, 0, 400, 401, 402, 403,
+ 404, 405, 406, 407, 408, 409, 0, 0, 0, 0, 0, 0, 416,
+ 417, 418, 419, 420, 421, 422, 423, 424, 425, 0, 0, 0, 0,
+ 0, 0, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 0,
+ 0, 0, 0, 0, 0, 448, 449, 450, 451, 452, 453, 454, 455,
+ 456, 457, 0, 0, 0, 0, 0, 0, 464, 465, 466, 467, 468,
+ 469, 470, 471, 472, 473, 0, 0, 0, 0, 0, 0, 480, 481,
+ 482, 483, 484, 485, 486, 487, 488, 489, 0, 0, 0, 0, 0,
+ 0, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 0, 0,
+ 0, 0, 0, 0, 394, 395, 426, 427, 458, 459, 490, 491, 462,
+ 463, 0, 0, 0, 0, 0, 0, 410, 411, 442, 443, 474, 475,
+ 506, 507, 478, 479, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 0,
+ 0, 0, 0, 0, 0, 528, 529, 530, 531, 532, 533, 534, 535,
+ 536, 537, 0, 0, 0, 0, 0, 0, 544, 545, 546, 547, 548,
+ 549, 550, 551, 552, 553, 0, 0, 0, 0, 0, 0, 560, 561,
+ 562, 563, 564, 565, 566, 567, 568, 569, 0, 0, 0, 0, 0,
+ 0, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 0, 0,
+ 0, 0, 0, 0, 592, 593, 594, 595, 596, 597, 598, 599, 600,
+ 601, 0, 0, 0, 0, 0, 0, 608, 609, 610, 611, 612, 613,
+ 614, 615, 616, 617, 0, 0, 0, 0, 0, 0, 624, 625, 626,
+ 627, 628, 629, 630, 631, 632, 633, 0, 0, 0, 0, 0, 0,
+ 522, 523, 554, 555, 586, 587, 618, 619, 590, 591, 0, 0, 0,
+ 0, 0, 0, 538, 539, 570, 571, 602, 603, 634, 635, 606, 607,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 641,
+ 642, 643, 644, 645, 646, 647, 648, 649, 0, 0, 0, 0, 0,
+ 0, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 0, 0,
+ 0, 0, 0, 0, 672, 673, 674, 675, 676, 677, 678, 679, 680,
+ 681, 0, 0, 0, 0, 0, 0, 688, 689, 690, 691, 692, 693,
+ 694, 695, 696, 697, 0, 0, 0, 0, 0, 0, 704, 705, 706,
+ 707, 708, 709, 710, 711, 712, 713, 0, 0, 0, 0, 0, 0,
+ 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 0, 0, 0,
+ 0, 0, 0, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745,
+ 0, 0, 0, 0, 0, 0, 752, 753, 754, 755, 756, 757, 758,
+ 759, 760, 761, 0, 0, 0, 0, 0, 0, 650, 651, 682, 683,
+ 714, 715, 746, 747, 718, 719, 0, 0, 0, 0, 0, 0, 666,
+ 667, 698, 699, 730, 731, 762, 763, 734, 735, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 768, 769, 770, 771, 772, 773,
+ 774, 775, 776, 777, 0, 0, 0, 0, 0, 0, 784, 785, 786,
+ 787, 788, 789, 790, 791, 792, 793, 0, 0, 0, 0, 0, 0,
+ 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 0, 0, 0,
+ 0, 0, 0, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825,
+ 0, 0, 0, 0, 0, 0, 832, 833, 834, 835, 836, 837, 838,
+ 839, 840, 841, 0, 0, 0, 0, 0, 0, 848, 849, 850, 851,
+ 852, 853, 854, 855, 856, 857, 0, 0, 0, 0, 0, 0, 864,
+ 865, 866, 867, 868, 869, 870, 871, 872, 873, 0, 0, 0, 0,
+ 0, 0, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 0,
+ 0, 0, 0, 0, 0, 778, 779, 810, 811, 842, 843, 874, 875,
+ 846, 847, 0, 0, 0, 0, 0, 0, 794, 795, 826, 827, 858,
+ 859, 890, 891, 862, 863, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905,
+ 0, 0, 0, 0, 0, 0, 912, 913, 914, 915, 916, 917, 918,
+ 919, 920, 921, 0, 0, 0, 0, 0, 0, 928, 929, 930, 931,
+ 932, 933, 934, 935, 936, 937, 0, 0, 0, 0, 0, 0, 944,
+ 945, 946, 947, 948, 949, 950, 951, 952, 953, 0, 0, 0, 0,
+ 0, 0, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 0,
+ 0, 0, 0, 0, 0, 976, 977, 978, 979, 980, 981, 982, 983,
+ 984, 985, 0, 0, 0, 0, 0, 0, 992, 993, 994, 995, 996,
+ 997, 998, 999, 1000, 1001, 0, 0, 0, 0, 0, 0, 1008, 1009,
+ 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 0, 0, 0, 0, 0,
+ 0, 906, 907, 938, 939, 970, 971, 1002, 1003, 974, 975, 0, 0,
+ 0, 0, 0, 0, 922, 923, 954, 955, 986, 987, 1018, 1019, 990,
+ 991, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12,
+ 13, 268, 269, 524, 525, 780, 781, 46, 47, 0, 0, 0, 0,
+ 0, 0, 28, 29, 284, 285, 540, 541, 796, 797, 62, 63, 0,
+ 0, 0, 0, 0, 0, 44, 45, 300, 301, 556, 557, 812, 813,
+ 302, 303, 0, 0, 0, 0, 0, 0, 60, 61, 316, 317, 572,
+ 573, 828, 829, 318, 319, 0, 0, 0, 0, 0, 0, 76, 77,
+ 332, 333, 588, 589, 844, 845, 558, 559, 0, 0, 0, 0, 0,
+ 0, 92, 93, 348, 349, 604, 605, 860, 861, 574, 575, 0, 0,
+ 0, 0, 0, 0, 108, 109, 364, 365, 620, 621, 876, 877, 814,
+ 815, 0, 0, 0, 0, 0, 0, 124, 125, 380, 381, 636, 637,
+ 892, 893, 830, 831, 0, 0, 0, 0, 0, 0, 14, 15, 270,
+ 271, 526, 527, 782, 783, 110, 111, 0, 0, 0, 0, 0, 0,
+ 30, 31, 286, 287, 542, 543, 798, 799, 126, 127, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 140, 141, 396, 397, 652,
+ 653, 908, 909, 174, 175, 0, 0, 0, 0, 0, 0, 156, 157,
+ 412, 413, 668, 669, 924, 925, 190, 191, 0, 0, 0, 0, 0,
+ 0, 172, 173, 428, 429, 684, 685, 940, 941, 430, 431, 0, 0,
+ 0, 0, 0, 0, 188, 189, 444, 445, 700, 701, 956, 957, 446,
+ 447, 0, 0, 0, 0, 0, 0, 204, 205, 460, 461, 716, 717,
+ 972, 973, 686, 687, 0, 0, 0, 0, 0, 0, 220, 221, 476,
+ 477, 732, 733, 988, 989, 702, 703, 0, 0, 0, 0, 0, 0,
+ 236, 237, 492, 493, 748, 749, 1004, 1005, 942, 943, 0, 0, 0,
+ 0, 0, 0, 252, 253, 508, 509, 764, 765, 1020, 1021, 958, 959,
+ 0, 0, 0, 0, 0, 0, 142, 143, 398, 399, 654, 655, 910,
+ 911, 238, 239, 0, 0, 0, 0, 0, 0, 158, 159, 414, 415,
+ 670, 671, 926, 927, 254, 255};
+#endif
+
+#if defined(DEC_DPD2BCD) && DEC_DPD2BCD==1 && !defined(DECDPD2BCD)
+#define DECDPD2BCD
+
+const uint16_t DPD2BCD[1024]={ 0, 1, 2, 3, 4, 5, 6, 7,
+ 8, 9, 128, 129, 2048, 2049, 2176, 2177, 16, 17, 18, 19, 20,
+ 21, 22, 23, 24, 25, 144, 145, 2064, 2065, 2192, 2193, 32, 33,
+ 34, 35, 36, 37, 38, 39, 40, 41, 130, 131, 2080, 2081, 2056,
+ 2057, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 146, 147,
+ 2096, 2097, 2072, 2073, 64, 65, 66, 67, 68, 69, 70, 71, 72,
+ 73, 132, 133, 2112, 2113, 136, 137, 80, 81, 82, 83, 84, 85,
+ 86, 87, 88, 89, 148, 149, 2128, 2129, 152, 153, 96, 97, 98,
+ 99, 100, 101, 102, 103, 104, 105, 134, 135, 2144, 2145, 2184, 2185,
+ 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 150, 151, 2160,
+ 2161, 2200, 2201, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265,
+ 384, 385, 2304, 2305, 2432, 2433, 272, 273, 274, 275, 276, 277, 278,
+ 279, 280, 281, 400, 401, 2320, 2321, 2448, 2449, 288, 289, 290, 291,
+ 292, 293, 294, 295, 296, 297, 386, 387, 2336, 2337, 2312, 2313, 304,
+ 305, 306, 307, 308, 309, 310, 311, 312, 313, 402, 403, 2352, 2353,
+ 2328, 2329, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 388,
+ 389, 2368, 2369, 392, 393, 336, 337, 338, 339, 340, 341, 342, 343,
+ 344, 345, 404, 405, 2384, 2385, 408, 409, 352, 353, 354, 355, 356,
+ 357, 358, 359, 360, 361, 390, 391, 2400, 2401, 2440, 2441, 368, 369,
+ 370, 371, 372, 373, 374, 375, 376, 377, 406, 407, 2416, 2417, 2456,
+ 2457, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 640, 641,
+ 2050, 2051, 2178, 2179, 528, 529, 530, 531, 532, 533, 534, 535, 536,
+ 537, 656, 657, 2066, 2067, 2194, 2195, 544, 545, 546, 547, 548, 549,
+ 550, 551, 552, 553, 642, 643, 2082, 2083, 2088, 2089, 560, 561, 562,
+ 563, 564, 565, 566, 567, 568, 569, 658, 659, 2098, 2099, 2104, 2105,
+ 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 644, 645, 2114,
+ 2115, 648, 649, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601,
+ 660, 661, 2130, 2131, 664, 665, 608, 609, 610, 611, 612, 613, 614,
+ 615, 616, 617, 646, 647, 2146, 2147, 2184, 2185, 624, 625, 626, 627,
+ 628, 629, 630, 631, 632, 633, 662, 663, 2162, 2163, 2200, 2201, 768,
+ 769, 770, 771, 772, 773, 774, 775, 776, 777, 896, 897, 2306, 2307,
+ 2434, 2435, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 912,
+ 913, 2322, 2323, 2450, 2451, 800, 801, 802, 803, 804, 805, 806, 807,
+ 808, 809, 898, 899, 2338, 2339, 2344, 2345, 816, 817, 818, 819, 820,
+ 821, 822, 823, 824, 825, 914, 915, 2354, 2355, 2360, 2361, 832, 833,
+ 834, 835, 836, 837, 838, 839, 840, 841, 900, 901, 2370, 2371, 904,
+ 905, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 916, 917,
+ 2386, 2387, 920, 921, 864, 865, 866, 867, 868, 869, 870, 871, 872,
+ 873, 902, 903, 2402, 2403, 2440, 2441, 880, 881, 882, 883, 884, 885,
+ 886, 887, 888, 889, 918, 919, 2418, 2419, 2456, 2457, 1024, 1025, 1026,
+ 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1152, 1153, 2052, 2053, 2180, 2181,
+ 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1168, 1169, 2068,
+ 2069, 2196, 2197, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065,
+ 1154, 1155, 2084, 2085, 2120, 2121, 1072, 1073, 1074, 1075, 1076, 1077, 1078,
+ 1079, 1080, 1081, 1170, 1171, 2100, 2101, 2136, 2137, 1088, 1089, 1090, 1091,
+ 1092, 1093, 1094, 1095, 1096, 1097, 1156, 1157, 2116, 2117, 1160, 1161, 1104,
+ 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1172, 1173, 2132, 2133,
+ 1176, 1177, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1158,
+ 1159, 2148, 2149, 2184, 2185, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143,
+ 1144, 1145, 1174, 1175, 2164, 2165, 2200, 2201, 1280, 1281, 1282, 1283, 1284,
+ 1285, 1286, 1287, 1288, 1289, 1408, 1409, 2308, 2309, 2436, 2437, 1296, 1297,
+ 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1424, 1425, 2324, 2325, 2452,
+ 2453, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1410, 1411,
+ 2340, 2341, 2376, 2377, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336,
+ 1337, 1426, 1427, 2356, 2357, 2392, 2393, 1344, 1345, 1346, 1347, 1348, 1349,
+ 1350, 1351, 1352, 1353, 1412, 1413, 2372, 2373, 1416, 1417, 1360, 1361, 1362,
+ 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1428, 1429, 2388, 2389, 1432, 1433,
+ 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1414, 1415, 2404,
+ 2405, 2440, 2441, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401,
+ 1430, 1431, 2420, 2421, 2456, 2457, 1536, 1537, 1538, 1539, 1540, 1541, 1542,
+ 1543, 1544, 1545, 1664, 1665, 2054, 2055, 2182, 2183, 1552, 1553, 1554, 1555,
+ 1556, 1557, 1558, 1559, 1560, 1561, 1680, 1681, 2070, 2071, 2198, 2199, 1568,
+ 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1666, 1667, 2086, 2087,
+ 2152, 2153, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1682,
+ 1683, 2102, 2103, 2168, 2169, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607,
+ 1608, 1609, 1668, 1669, 2118, 2119, 1672, 1673, 1616, 1617, 1618, 1619, 1620,
+ 1621, 1622, 1623, 1624, 1625, 1684, 1685, 2134, 2135, 1688, 1689, 1632, 1633,
+ 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1670, 1671, 2150, 2151, 2184,
+ 2185, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1686, 1687,
+ 2166, 2167, 2200, 2201, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800,
+ 1801, 1920, 1921, 2310, 2311, 2438, 2439, 1808, 1809, 1810, 1811, 1812, 1813,
+ 1814, 1815, 1816, 1817, 1936, 1937, 2326, 2327, 2454, 2455, 1824, 1825, 1826,
+ 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1922, 1923, 2342, 2343, 2408, 2409,
+ 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1938, 1939, 2358,
+ 2359, 2424, 2425, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865,
+ 1924, 1925, 2374, 2375, 1928, 1929, 1872, 1873, 1874, 1875, 1876, 1877, 1878,
+ 1879, 1880, 1881, 1940, 1941, 2390, 2391, 1944, 1945, 1888, 1889, 1890, 1891,
+ 1892, 1893, 1894, 1895, 1896, 1897, 1926, 1927, 2406, 2407, 2440, 2441, 1904,
+ 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1942, 1943, 2422, 2423,
+ 2456, 2457};
+#endif
+
+#if defined(DEC_BIN2DPD) && DEC_BIN2DPD==1 && !defined(DECBIN2DPD)
+#define DECBIN2DPD
+
+const uint16_t BIN2DPD[1000]={ 0, 1, 2, 3, 4, 5, 6, 7,
+ 8, 9, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 32,
+ 33, 34, 35, 36, 37, 38, 39, 40, 41, 48, 49, 50, 51,
+ 52, 53, 54, 55, 56, 57, 64, 65, 66, 67, 68, 69, 70,
+ 71, 72, 73, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
+ 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 112, 113, 114,
+ 115, 116, 117, 118, 119, 120, 121, 10, 11, 42, 43, 74, 75,
+ 106, 107, 78, 79, 26, 27, 58, 59, 90, 91, 122, 123, 94,
+ 95, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 144, 145,
+ 146, 147, 148, 149, 150, 151, 152, 153, 160, 161, 162, 163, 164,
+ 165, 166, 167, 168, 169, 176, 177, 178, 179, 180, 181, 182, 183,
+ 184, 185, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 208,
+ 209, 210, 211, 212, 213, 214, 215, 216, 217, 224, 225, 226, 227,
+ 228, 229, 230, 231, 232, 233, 240, 241, 242, 243, 244, 245, 246,
+ 247, 248, 249, 138, 139, 170, 171, 202, 203, 234, 235, 206, 207,
+ 154, 155, 186, 187, 218, 219, 250, 251, 222, 223, 256, 257, 258,
+ 259, 260, 261, 262, 263, 264, 265, 272, 273, 274, 275, 276, 277,
+ 278, 279, 280, 281, 288, 289, 290, 291, 292, 293, 294, 295, 296,
+ 297, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 320, 321,
+ 322, 323, 324, 325, 326, 327, 328, 329, 336, 337, 338, 339, 340,
+ 341, 342, 343, 344, 345, 352, 353, 354, 355, 356, 357, 358, 359,
+ 360, 361, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 266,
+ 267, 298, 299, 330, 331, 362, 363, 334, 335, 282, 283, 314, 315,
+ 346, 347, 378, 379, 350, 351, 384, 385, 386, 387, 388, 389, 390,
+ 391, 392, 393, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409,
+ 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 432, 433, 434,
+ 435, 436, 437, 438, 439, 440, 441, 448, 449, 450, 451, 452, 453,
+ 454, 455, 456, 457, 464, 465, 466, 467, 468, 469, 470, 471, 472,
+ 473, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 496, 497,
+ 498, 499, 500, 501, 502, 503, 504, 505, 394, 395, 426, 427, 458,
+ 459, 490, 491, 462, 463, 410, 411, 442, 443, 474, 475, 506, 507,
+ 478, 479, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 528,
+ 529, 530, 531, 532, 533, 534, 535, 536, 537, 544, 545, 546, 547,
+ 548, 549, 550, 551, 552, 553, 560, 561, 562, 563, 564, 565, 566,
+ 567, 568, 569, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585,
+ 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 608, 609, 610,
+ 611, 612, 613, 614, 615, 616, 617, 624, 625, 626, 627, 628, 629,
+ 630, 631, 632, 633, 522, 523, 554, 555, 586, 587, 618, 619, 590,
+ 591, 538, 539, 570, 571, 602, 603, 634, 635, 606, 607, 640, 641,
+ 642, 643, 644, 645, 646, 647, 648, 649, 656, 657, 658, 659, 660,
+ 661, 662, 663, 664, 665, 672, 673, 674, 675, 676, 677, 678, 679,
+ 680, 681, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 704,
+ 705, 706, 707, 708, 709, 710, 711, 712, 713, 720, 721, 722, 723,
+ 724, 725, 726, 727, 728, 729, 736, 737, 738, 739, 740, 741, 742,
+ 743, 744, 745, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761,
+ 650, 651, 682, 683, 714, 715, 746, 747, 718, 719, 666, 667, 698,
+ 699, 730, 731, 762, 763, 734, 735, 768, 769, 770, 771, 772, 773,
+ 774, 775, 776, 777, 784, 785, 786, 787, 788, 789, 790, 791, 792,
+ 793, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 816, 817,
+ 818, 819, 820, 821, 822, 823, 824, 825, 832, 833, 834, 835, 836,
+ 837, 838, 839, 840, 841, 848, 849, 850, 851, 852, 853, 854, 855,
+ 856, 857, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 880,
+ 881, 882, 883, 884, 885, 886, 887, 888, 889, 778, 779, 810, 811,
+ 842, 843, 874, 875, 846, 847, 794, 795, 826, 827, 858, 859, 890,
+ 891, 862, 863, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905,
+ 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 928, 929, 930,
+ 931, 932, 933, 934, 935, 936, 937, 944, 945, 946, 947, 948, 949,
+ 950, 951, 952, 953, 960, 961, 962, 963, 964, 965, 966, 967, 968,
+ 969, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 992, 993,
+ 994, 995, 996, 997, 998, 999, 1000, 1001, 1008, 1009, 1010, 1011, 1012,
+ 1013, 1014, 1015, 1016, 1017, 906, 907, 938, 939, 970, 971, 1002, 1003,
+ 974, 975, 922, 923, 954, 955, 986, 987, 1018, 1019, 990, 991, 12,
+ 13, 268, 269, 524, 525, 780, 781, 46, 47, 28, 29, 284, 285,
+ 540, 541, 796, 797, 62, 63, 44, 45, 300, 301, 556, 557, 812,
+ 813, 302, 303, 60, 61, 316, 317, 572, 573, 828, 829, 318, 319,
+ 76, 77, 332, 333, 588, 589, 844, 845, 558, 559, 92, 93, 348,
+ 349, 604, 605, 860, 861, 574, 575, 108, 109, 364, 365, 620, 621,
+ 876, 877, 814, 815, 124, 125, 380, 381, 636, 637, 892, 893, 830,
+ 831, 14, 15, 270, 271, 526, 527, 782, 783, 110, 111, 30, 31,
+ 286, 287, 542, 543, 798, 799, 126, 127, 140, 141, 396, 397, 652,
+ 653, 908, 909, 174, 175, 156, 157, 412, 413, 668, 669, 924, 925,
+ 190, 191, 172, 173, 428, 429, 684, 685, 940, 941, 430, 431, 188,
+ 189, 444, 445, 700, 701, 956, 957, 446, 447, 204, 205, 460, 461,
+ 716, 717, 972, 973, 686, 687, 220, 221, 476, 477, 732, 733, 988,
+ 989, 702, 703, 236, 237, 492, 493, 748, 749, 1004, 1005, 942, 943,
+ 252, 253, 508, 509, 764, 765, 1020, 1021, 958, 959, 142, 143, 398,
+ 399, 654, 655, 910, 911, 238, 239, 158, 159, 414, 415, 670, 671,
+ 926, 927, 254, 255};
+#endif
+
+#if defined(DEC_DPD2BIN) && DEC_DPD2BIN==1 && !defined(DECDPD2BIN)
+#define DECDPD2BIN
+
+const uint16_t DPD2BIN[1024]={ 0, 1, 2, 3, 4, 5, 6, 7,
+ 8, 9, 80, 81, 800, 801, 880, 881, 10, 11, 12, 13, 14,
+ 15, 16, 17, 18, 19, 90, 91, 810, 811, 890, 891, 20, 21,
+ 22, 23, 24, 25, 26, 27, 28, 29, 82, 83, 820, 821, 808,
+ 809, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 92, 93,
+ 830, 831, 818, 819, 40, 41, 42, 43, 44, 45, 46, 47, 48,
+ 49, 84, 85, 840, 841, 88, 89, 50, 51, 52, 53, 54, 55,
+ 56, 57, 58, 59, 94, 95, 850, 851, 98, 99, 60, 61, 62,
+ 63, 64, 65, 66, 67, 68, 69, 86, 87, 860, 861, 888, 889,
+ 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 96, 97, 870,
+ 871, 898, 899, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109,
+ 180, 181, 900, 901, 980, 981, 110, 111, 112, 113, 114, 115, 116,
+ 117, 118, 119, 190, 191, 910, 911, 990, 991, 120, 121, 122, 123,
+ 124, 125, 126, 127, 128, 129, 182, 183, 920, 921, 908, 909, 130,
+ 131, 132, 133, 134, 135, 136, 137, 138, 139, 192, 193, 930, 931,
+ 918, 919, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 184,
+ 185, 940, 941, 188, 189, 150, 151, 152, 153, 154, 155, 156, 157,
+ 158, 159, 194, 195, 950, 951, 198, 199, 160, 161, 162, 163, 164,
+ 165, 166, 167, 168, 169, 186, 187, 960, 961, 988, 989, 170, 171,
+ 172, 173, 174, 175, 176, 177, 178, 179, 196, 197, 970, 971, 998,
+ 999, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 280, 281,
+ 802, 803, 882, 883, 210, 211, 212, 213, 214, 215, 216, 217, 218,
+ 219, 290, 291, 812, 813, 892, 893, 220, 221, 222, 223, 224, 225,
+ 226, 227, 228, 229, 282, 283, 822, 823, 828, 829, 230, 231, 232,
+ 233, 234, 235, 236, 237, 238, 239, 292, 293, 832, 833, 838, 839,
+ 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 284, 285, 842,
+ 843, 288, 289, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259,
+ 294, 295, 852, 853, 298, 299, 260, 261, 262, 263, 264, 265, 266,
+ 267, 268, 269, 286, 287, 862, 863, 888, 889, 270, 271, 272, 273,
+ 274, 275, 276, 277, 278, 279, 296, 297, 872, 873, 898, 899, 300,
+ 301, 302, 303, 304, 305, 306, 307, 308, 309, 380, 381, 902, 903,
+ 982, 983, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 390,
+ 391, 912, 913, 992, 993, 320, 321, 322, 323, 324, 325, 326, 327,
+ 328, 329, 382, 383, 922, 923, 928, 929, 330, 331, 332, 333, 334,
+ 335, 336, 337, 338, 339, 392, 393, 932, 933, 938, 939, 340, 341,
+ 342, 343, 344, 345, 346, 347, 348, 349, 384, 385, 942, 943, 388,
+ 389, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 394, 395,
+ 952, 953, 398, 399, 360, 361, 362, 363, 364, 365, 366, 367, 368,
+ 369, 386, 387, 962, 963, 988, 989, 370, 371, 372, 373, 374, 375,
+ 376, 377, 378, 379, 396, 397, 972, 973, 998, 999, 400, 401, 402,
+ 403, 404, 405, 406, 407, 408, 409, 480, 481, 804, 805, 884, 885,
+ 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 490, 491, 814,
+ 815, 894, 895, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429,
+ 482, 483, 824, 825, 848, 849, 430, 431, 432, 433, 434, 435, 436,
+ 437, 438, 439, 492, 493, 834, 835, 858, 859, 440, 441, 442, 443,
+ 444, 445, 446, 447, 448, 449, 484, 485, 844, 845, 488, 489, 450,
+ 451, 452, 453, 454, 455, 456, 457, 458, 459, 494, 495, 854, 855,
+ 498, 499, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 486,
+ 487, 864, 865, 888, 889, 470, 471, 472, 473, 474, 475, 476, 477,
+ 478, 479, 496, 497, 874, 875, 898, 899, 500, 501, 502, 503, 504,
+ 505, 506, 507, 508, 509, 580, 581, 904, 905, 984, 985, 510, 511,
+ 512, 513, 514, 515, 516, 517, 518, 519, 590, 591, 914, 915, 994,
+ 995, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 582, 583,
+ 924, 925, 948, 949, 530, 531, 532, 533, 534, 535, 536, 537, 538,
+ 539, 592, 593, 934, 935, 958, 959, 540, 541, 542, 543, 544, 545,
+ 546, 547, 548, 549, 584, 585, 944, 945, 588, 589, 550, 551, 552,
+ 553, 554, 555, 556, 557, 558, 559, 594, 595, 954, 955, 598, 599,
+ 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 586, 587, 964,
+ 965, 988, 989, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579,
+ 596, 597, 974, 975, 998, 999, 600, 601, 602, 603, 604, 605, 606,
+ 607, 608, 609, 680, 681, 806, 807, 886, 887, 610, 611, 612, 613,
+ 614, 615, 616, 617, 618, 619, 690, 691, 816, 817, 896, 897, 620,
+ 621, 622, 623, 624, 625, 626, 627, 628, 629, 682, 683, 826, 827,
+ 868, 869, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 692,
+ 693, 836, 837, 878, 879, 640, 641, 642, 643, 644, 645, 646, 647,
+ 648, 649, 684, 685, 846, 847, 688, 689, 650, 651, 652, 653, 654,
+ 655, 656, 657, 658, 659, 694, 695, 856, 857, 698, 699, 660, 661,
+ 662, 663, 664, 665, 666, 667, 668, 669, 686, 687, 866, 867, 888,
+ 889, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 696, 697,
+ 876, 877, 898, 899, 700, 701, 702, 703, 704, 705, 706, 707, 708,
+ 709, 780, 781, 906, 907, 986, 987, 710, 711, 712, 713, 714, 715,
+ 716, 717, 718, 719, 790, 791, 916, 917, 996, 997, 720, 721, 722,
+ 723, 724, 725, 726, 727, 728, 729, 782, 783, 926, 927, 968, 969,
+ 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 792, 793, 936,
+ 937, 978, 979, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749,
+ 784, 785, 946, 947, 788, 789, 750, 751, 752, 753, 754, 755, 756,
+ 757, 758, 759, 794, 795, 956, 957, 798, 799, 760, 761, 762, 763,
+ 764, 765, 766, 767, 768, 769, 786, 787, 966, 967, 988, 989, 770,
+ 771, 772, 773, 774, 775, 776, 777, 778, 779, 796, 797, 976, 977,
+ 998, 999};
+#endif
+
+#if defined(DEC_DPD2BINK) && DEC_DPD2BINK==1 && !defined(DECDPD2BINK)
+#define DECDPD2BINK
+
+const uint32_t DPD2BINK[1024]={ 0, 1000, 2000, 3000, 4000, 5000,
+ 6000, 7000, 8000, 9000, 80000, 81000, 800000, 801000, 880000, 881000,
+ 10000, 11000, 12000, 13000, 14000, 15000, 16000, 17000, 18000, 19000,
+ 90000, 91000, 810000, 811000, 890000, 891000, 20000, 21000, 22000, 23000,
+ 24000, 25000, 26000, 27000, 28000, 29000, 82000, 83000, 820000, 821000,
+ 808000, 809000, 30000, 31000, 32000, 33000, 34000, 35000, 36000, 37000,
+ 38000, 39000, 92000, 93000, 830000, 831000, 818000, 819000, 40000, 41000,
+ 42000, 43000, 44000, 45000, 46000, 47000, 48000, 49000, 84000, 85000,
+ 840000, 841000, 88000, 89000, 50000, 51000, 52000, 53000, 54000, 55000,
+ 56000, 57000, 58000, 59000, 94000, 95000, 850000, 851000, 98000, 99000,
+ 60000, 61000, 62000, 63000, 64000, 65000, 66000, 67000, 68000, 69000,
+ 86000, 87000, 860000, 861000, 888000, 889000, 70000, 71000, 72000, 73000,
+ 74000, 75000, 76000, 77000, 78000, 79000, 96000, 97000, 870000, 871000,
+ 898000, 899000, 100000, 101000, 102000, 103000, 104000, 105000, 106000, 107000,
+ 108000, 109000, 180000, 181000, 900000, 901000, 980000, 981000, 110000, 111000,
+ 112000, 113000, 114000, 115000, 116000, 117000, 118000, 119000, 190000, 191000,
+ 910000, 911000, 990000, 991000, 120000, 121000, 122000, 123000, 124000, 125000,
+ 126000, 127000, 128000, 129000, 182000, 183000, 920000, 921000, 908000, 909000,
+ 130000, 131000, 132000, 133000, 134000, 135000, 136000, 137000, 138000, 139000,
+ 192000, 193000, 930000, 931000, 918000, 919000, 140000, 141000, 142000, 143000,
+ 144000, 145000, 146000, 147000, 148000, 149000, 184000, 185000, 940000, 941000,
+ 188000, 189000, 150000, 151000, 152000, 153000, 154000, 155000, 156000, 157000,
+ 158000, 159000, 194000, 195000, 950000, 951000, 198000, 199000, 160000, 161000,
+ 162000, 163000, 164000, 165000, 166000, 167000, 168000, 169000, 186000, 187000,
+ 960000, 961000, 988000, 989000, 170000, 171000, 172000, 173000, 174000, 175000,
+ 176000, 177000, 178000, 179000, 196000, 197000, 970000, 971000, 998000, 999000,
+ 200000, 201000, 202000, 203000, 204000, 205000, 206000, 207000, 208000, 209000,
+ 280000, 281000, 802000, 803000, 882000, 883000, 210000, 211000, 212000, 213000,
+ 214000, 215000, 216000, 217000, 218000, 219000, 290000, 291000, 812000, 813000,
+ 892000, 893000, 220000, 221000, 222000, 223000, 224000, 225000, 226000, 227000,
+ 228000, 229000, 282000, 283000, 822000, 823000, 828000, 829000, 230000, 231000,
+ 232000, 233000, 234000, 235000, 236000, 237000, 238000, 239000, 292000, 293000,
+ 832000, 833000, 838000, 839000, 240000, 241000, 242000, 243000, 244000, 245000,
+ 246000, 247000, 248000, 249000, 284000, 285000, 842000, 843000, 288000, 289000,
+ 250000, 251000, 252000, 253000, 254000, 255000, 256000, 257000, 258000, 259000,
+ 294000, 295000, 852000, 853000, 298000, 299000, 260000, 261000, 262000, 263000,
+ 264000, 265000, 266000, 267000, 268000, 269000, 286000, 287000, 862000, 863000,
+ 888000, 889000, 270000, 271000, 272000, 273000, 274000, 275000, 276000, 277000,
+ 278000, 279000, 296000, 297000, 872000, 873000, 898000, 899000, 300000, 301000,
+ 302000, 303000, 304000, 305000, 306000, 307000, 308000, 309000, 380000, 381000,
+ 902000, 903000, 982000, 983000, 310000, 311000, 312000, 313000, 314000, 315000,
+ 316000, 317000, 318000, 319000, 390000, 391000, 912000, 913000, 992000, 993000,
+ 320000, 321000, 322000, 323000, 324000, 325000, 326000, 327000, 328000, 329000,
+ 382000, 383000, 922000, 923000, 928000, 929000, 330000, 331000, 332000, 333000,
+ 334000, 335000, 336000, 337000, 338000, 339000, 392000, 393000, 932000, 933000,
+ 938000, 939000, 340000, 341000, 342000, 343000, 344000, 345000, 346000, 347000,
+ 348000, 349000, 384000, 385000, 942000, 943000, 388000, 389000, 350000, 351000,
+ 352000, 353000, 354000, 355000, 356000, 357000, 358000, 359000, 394000, 395000,
+ 952000, 953000, 398000, 399000, 360000, 361000, 362000, 363000, 364000, 365000,
+ 366000, 367000, 368000, 369000, 386000, 387000, 962000, 963000, 988000, 989000,
+ 370000, 371000, 372000, 373000, 374000, 375000, 376000, 377000, 378000, 379000,
+ 396000, 397000, 972000, 973000, 998000, 999000, 400000, 401000, 402000, 403000,
+ 404000, 405000, 406000, 407000, 408000, 409000, 480000, 481000, 804000, 805000,
+ 884000, 885000, 410000, 411000, 412000, 413000, 414000, 415000, 416000, 417000,
+ 418000, 419000, 490000, 491000, 814000, 815000, 894000, 895000, 420000, 421000,
+ 422000, 423000, 424000, 425000, 426000, 427000, 428000, 429000, 482000, 483000,
+ 824000, 825000, 848000, 849000, 430000, 431000, 432000, 433000, 434000, 435000,
+ 436000, 437000, 438000, 439000, 492000, 493000, 834000, 835000, 858000, 859000,
+ 440000, 441000, 442000, 443000, 444000, 445000, 446000, 447000, 448000, 449000,
+ 484000, 485000, 844000, 845000, 488000, 489000, 450000, 451000, 452000, 453000,
+ 454000, 455000, 456000, 457000, 458000, 459000, 494000, 495000, 854000, 855000,
+ 498000, 499000, 460000, 461000, 462000, 463000, 464000, 465000, 466000, 467000,
+ 468000, 469000, 486000, 487000, 864000, 865000, 888000, 889000, 470000, 471000,
+ 472000, 473000, 474000, 475000, 476000, 477000, 478000, 479000, 496000, 497000,
+ 874000, 875000, 898000, 899000, 500000, 501000, 502000, 503000, 504000, 505000,
+ 506000, 507000, 508000, 509000, 580000, 581000, 904000, 905000, 984000, 985000,
+ 510000, 511000, 512000, 513000, 514000, 515000, 516000, 517000, 518000, 519000,
+ 590000, 591000, 914000, 915000, 994000, 995000, 520000, 521000, 522000, 523000,
+ 524000, 525000, 526000, 527000, 528000, 529000, 582000, 583000, 924000, 925000,
+ 948000, 949000, 530000, 531000, 532000, 533000, 534000, 535000, 536000, 537000,
+ 538000, 539000, 592000, 593000, 934000, 935000, 958000, 959000, 540000, 541000,
+ 542000, 543000, 544000, 545000, 546000, 547000, 548000, 549000, 584000, 585000,
+ 944000, 945000, 588000, 589000, 550000, 551000, 552000, 553000, 554000, 555000,
+ 556000, 557000, 558000, 559000, 594000, 595000, 954000, 955000, 598000, 599000,
+ 560000, 561000, 562000, 563000, 564000, 565000, 566000, 567000, 568000, 569000,
+ 586000, 587000, 964000, 965000, 988000, 989000, 570000, 571000, 572000, 573000,
+ 574000, 575000, 576000, 577000, 578000, 579000, 596000, 597000, 974000, 975000,
+ 998000, 999000, 600000, 601000, 602000, 603000, 604000, 605000, 606000, 607000,
+ 608000, 609000, 680000, 681000, 806000, 807000, 886000, 887000, 610000, 611000,
+ 612000, 613000, 614000, 615000, 616000, 617000, 618000, 619000, 690000, 691000,
+ 816000, 817000, 896000, 897000, 620000, 621000, 622000, 623000, 624000, 625000,
+ 626000, 627000, 628000, 629000, 682000, 683000, 826000, 827000, 868000, 869000,
+ 630000, 631000, 632000, 633000, 634000, 635000, 636000, 637000, 638000, 639000,
+ 692000, 693000, 836000, 837000, 878000, 879000, 640000, 641000, 642000, 643000,
+ 644000, 645000, 646000, 647000, 648000, 649000, 684000, 685000, 846000, 847000,
+ 688000, 689000, 650000, 651000, 652000, 653000, 654000, 655000, 656000, 657000,
+ 658000, 659000, 694000, 695000, 856000, 857000, 698000, 699000, 660000, 661000,
+ 662000, 663000, 664000, 665000, 666000, 667000, 668000, 669000, 686000, 687000,
+ 866000, 867000, 888000, 889000, 670000, 671000, 672000, 673000, 674000, 675000,
+ 676000, 677000, 678000, 679000, 696000, 697000, 876000, 877000, 898000, 899000,
+ 700000, 701000, 702000, 703000, 704000, 705000, 706000, 707000, 708000, 709000,
+ 780000, 781000, 906000, 907000, 986000, 987000, 710000, 711000, 712000, 713000,
+ 714000, 715000, 716000, 717000, 718000, 719000, 790000, 791000, 916000, 917000,
+ 996000, 997000, 720000, 721000, 722000, 723000, 724000, 725000, 726000, 727000,
+ 728000, 729000, 782000, 783000, 926000, 927000, 968000, 969000, 730000, 731000,
+ 732000, 733000, 734000, 735000, 736000, 737000, 738000, 739000, 792000, 793000,
+ 936000, 937000, 978000, 979000, 740000, 741000, 742000, 743000, 744000, 745000,
+ 746000, 747000, 748000, 749000, 784000, 785000, 946000, 947000, 788000, 789000,
+ 750000, 751000, 752000, 753000, 754000, 755000, 756000, 757000, 758000, 759000,
+ 794000, 795000, 956000, 957000, 798000, 799000, 760000, 761000, 762000, 763000,
+ 764000, 765000, 766000, 767000, 768000, 769000, 786000, 787000, 966000, 967000,
+ 988000, 989000, 770000, 771000, 772000, 773000, 774000, 775000, 776000, 777000,
+ 778000, 779000, 796000, 797000, 976000, 977000, 998000, 999000};
+#endif
+
+#if defined(DEC_DPD2BINM) && DEC_DPD2BINM==1 && !defined(DECDPD2BINM)
+#define DECDPD2BINM
+
+const uint32_t DPD2BINM[1024]={0, 1000000, 2000000, 3000000, 4000000,
+ 5000000, 6000000, 7000000, 8000000, 9000000, 80000000, 81000000,
+ 800000000, 801000000, 880000000, 881000000, 10000000, 11000000, 12000000,
+ 13000000, 14000000, 15000000, 16000000, 17000000, 18000000, 19000000,
+ 90000000, 91000000, 810000000, 811000000, 890000000, 891000000, 20000000,
+ 21000000, 22000000, 23000000, 24000000, 25000000, 26000000, 27000000,
+ 28000000, 29000000, 82000000, 83000000, 820000000, 821000000, 808000000,
+ 809000000, 30000000, 31000000, 32000000, 33000000, 34000000, 35000000,
+ 36000000, 37000000, 38000000, 39000000, 92000000, 93000000, 830000000,
+ 831000000, 818000000, 819000000, 40000000, 41000000, 42000000, 43000000,
+ 44000000, 45000000, 46000000, 47000000, 48000000, 49000000, 84000000,
+ 85000000, 840000000, 841000000, 88000000, 89000000, 50000000, 51000000,
+ 52000000, 53000000, 54000000, 55000000, 56000000, 57000000, 58000000,
+ 59000000, 94000000, 95000000, 850000000, 851000000, 98000000, 99000000,
+ 60000000, 61000000, 62000000, 63000000, 64000000, 65000000, 66000000,
+ 67000000, 68000000, 69000000, 86000000, 87000000, 860000000, 861000000,
+ 888000000, 889000000, 70000000, 71000000, 72000000, 73000000, 74000000,
+ 75000000, 76000000, 77000000, 78000000, 79000000, 96000000, 97000000,
+ 870000000, 871000000, 898000000, 899000000, 100000000, 101000000, 102000000,
+ 103000000, 104000000, 105000000, 106000000, 107000000, 108000000, 109000000,
+ 180000000, 181000000, 900000000, 901000000, 980000000, 981000000, 110000000,
+ 111000000, 112000000, 113000000, 114000000, 115000000, 116000000, 117000000,
+ 118000000, 119000000, 190000000, 191000000, 910000000, 911000000, 990000000,
+ 991000000, 120000000, 121000000, 122000000, 123000000, 124000000, 125000000,
+ 126000000, 127000000, 128000000, 129000000, 182000000, 183000000, 920000000,
+ 921000000, 908000000, 909000000, 130000000, 131000000, 132000000, 133000000,
+ 134000000, 135000000, 136000000, 137000000, 138000000, 139000000, 192000000,
+ 193000000, 930000000, 931000000, 918000000, 919000000, 140000000, 141000000,
+ 142000000, 143000000, 144000000, 145000000, 146000000, 147000000, 148000000,
+ 149000000, 184000000, 185000000, 940000000, 941000000, 188000000, 189000000,
+ 150000000, 151000000, 152000000, 153000000, 154000000, 155000000, 156000000,
+ 157000000, 158000000, 159000000, 194000000, 195000000, 950000000, 951000000,
+ 198000000, 199000000, 160000000, 161000000, 162000000, 163000000, 164000000,
+ 165000000, 166000000, 167000000, 168000000, 169000000, 186000000, 187000000,
+ 960000000, 961000000, 988000000, 989000000, 170000000, 171000000, 172000000,
+ 173000000, 174000000, 175000000, 176000000, 177000000, 178000000, 179000000,
+ 196000000, 197000000, 970000000, 971000000, 998000000, 999000000, 200000000,
+ 201000000, 202000000, 203000000, 204000000, 205000000, 206000000, 207000000,
+ 208000000, 209000000, 280000000, 281000000, 802000000, 803000000, 882000000,
+ 883000000, 210000000, 211000000, 212000000, 213000000, 214000000, 215000000,
+ 216000000, 217000000, 218000000, 219000000, 290000000, 291000000, 812000000,
+ 813000000, 892000000, 893000000, 220000000, 221000000, 222000000, 223000000,
+ 224000000, 225000000, 226000000, 227000000, 228000000, 229000000, 282000000,
+ 283000000, 822000000, 823000000, 828000000, 829000000, 230000000, 231000000,
+ 232000000, 233000000, 234000000, 235000000, 236000000, 237000000, 238000000,
+ 239000000, 292000000, 293000000, 832000000, 833000000, 838000000, 839000000,
+ 240000000, 241000000, 242000000, 243000000, 244000000, 245000000, 246000000,
+ 247000000, 248000000, 249000000, 284000000, 285000000, 842000000, 843000000,
+ 288000000, 289000000, 250000000, 251000000, 252000000, 253000000, 254000000,
+ 255000000, 256000000, 257000000, 258000000, 259000000, 294000000, 295000000,
+ 852000000, 853000000, 298000000, 299000000, 260000000, 261000000, 262000000,
+ 263000000, 264000000, 265000000, 266000000, 267000000, 268000000, 269000000,
+ 286000000, 287000000, 862000000, 863000000, 888000000, 889000000, 270000000,
+ 271000000, 272000000, 273000000, 274000000, 275000000, 276000000, 277000000,
+ 278000000, 279000000, 296000000, 297000000, 872000000, 873000000, 898000000,
+ 899000000, 300000000, 301000000, 302000000, 303000000, 304000000, 305000000,
+ 306000000, 307000000, 308000000, 309000000, 380000000, 381000000, 902000000,
+ 903000000, 982000000, 983000000, 310000000, 311000000, 312000000, 313000000,
+ 314000000, 315000000, 316000000, 317000000, 318000000, 319000000, 390000000,
+ 391000000, 912000000, 913000000, 992000000, 993000000, 320000000, 321000000,
+ 322000000, 323000000, 324000000, 325000000, 326000000, 327000000, 328000000,
+ 329000000, 382000000, 383000000, 922000000, 923000000, 928000000, 929000000,
+ 330000000, 331000000, 332000000, 333000000, 334000000, 335000000, 336000000,
+ 337000000, 338000000, 339000000, 392000000, 393000000, 932000000, 933000000,
+ 938000000, 939000000, 340000000, 341000000, 342000000, 343000000, 344000000,
+ 345000000, 346000000, 347000000, 348000000, 349000000, 384000000, 385000000,
+ 942000000, 943000000, 388000000, 389000000, 350000000, 351000000, 352000000,
+ 353000000, 354000000, 355000000, 356000000, 357000000, 358000000, 359000000,
+ 394000000, 395000000, 952000000, 953000000, 398000000, 399000000, 360000000,
+ 361000000, 362000000, 363000000, 364000000, 365000000, 366000000, 367000000,
+ 368000000, 369000000, 386000000, 387000000, 962000000, 963000000, 988000000,
+ 989000000, 370000000, 371000000, 372000000, 373000000, 374000000, 375000000,
+ 376000000, 377000000, 378000000, 379000000, 396000000, 397000000, 972000000,
+ 973000000, 998000000, 999000000, 400000000, 401000000, 402000000, 403000000,
+ 404000000, 405000000, 406000000, 407000000, 408000000, 409000000, 480000000,
+ 481000000, 804000000, 805000000, 884000000, 885000000, 410000000, 411000000,
+ 412000000, 413000000, 414000000, 415000000, 416000000, 417000000, 418000000,
+ 419000000, 490000000, 491000000, 814000000, 815000000, 894000000, 895000000,
+ 420000000, 421000000, 422000000, 423000000, 424000000, 425000000, 426000000,
+ 427000000, 428000000, 429000000, 482000000, 483000000, 824000000, 825000000,
+ 848000000, 849000000, 430000000, 431000000, 432000000, 433000000, 434000000,
+ 435000000, 436000000, 437000000, 438000000, 439000000, 492000000, 493000000,
+ 834000000, 835000000, 858000000, 859000000, 440000000, 441000000, 442000000,
+ 443000000, 444000000, 445000000, 446000000, 447000000, 448000000, 449000000,
+ 484000000, 485000000, 844000000, 845000000, 488000000, 489000000, 450000000,
+ 451000000, 452000000, 453000000, 454000000, 455000000, 456000000, 457000000,
+ 458000000, 459000000, 494000000, 495000000, 854000000, 855000000, 498000000,
+ 499000000, 460000000, 461000000, 462000000, 463000000, 464000000, 465000000,
+ 466000000, 467000000, 468000000, 469000000, 486000000, 487000000, 864000000,
+ 865000000, 888000000, 889000000, 470000000, 471000000, 472000000, 473000000,
+ 474000000, 475000000, 476000000, 477000000, 478000000, 479000000, 496000000,
+ 497000000, 874000000, 875000000, 898000000, 899000000, 500000000, 501000000,
+ 502000000, 503000000, 504000000, 505000000, 506000000, 507000000, 508000000,
+ 509000000, 580000000, 581000000, 904000000, 905000000, 984000000, 985000000,
+ 510000000, 511000000, 512000000, 513000000, 514000000, 515000000, 516000000,
+ 517000000, 518000000, 519000000, 590000000, 591000000, 914000000, 915000000,
+ 994000000, 995000000, 520000000, 521000000, 522000000, 523000000, 524000000,
+ 525000000, 526000000, 527000000, 528000000, 529000000, 582000000, 583000000,
+ 924000000, 925000000, 948000000, 949000000, 530000000, 531000000, 532000000,
+ 533000000, 534000000, 535000000, 536000000, 537000000, 538000000, 539000000,
+ 592000000, 593000000, 934000000, 935000000, 958000000, 959000000, 540000000,
+ 541000000, 542000000, 543000000, 544000000, 545000000, 546000000, 547000000,
+ 548000000, 549000000, 584000000, 585000000, 944000000, 945000000, 588000000,
+ 589000000, 550000000, 551000000, 552000000, 553000000, 554000000, 555000000,
+ 556000000, 557000000, 558000000, 559000000, 594000000, 595000000, 954000000,
+ 955000000, 598000000, 599000000, 560000000, 561000000, 562000000, 563000000,
+ 564000000, 565000000, 566000000, 567000000, 568000000, 569000000, 586000000,
+ 587000000, 964000000, 965000000, 988000000, 989000000, 570000000, 571000000,
+ 572000000, 573000000, 574000000, 575000000, 576000000, 577000000, 578000000,
+ 579000000, 596000000, 597000000, 974000000, 975000000, 998000000, 999000000,
+ 600000000, 601000000, 602000000, 603000000, 604000000, 605000000, 606000000,
+ 607000000, 608000000, 609000000, 680000000, 681000000, 806000000, 807000000,
+ 886000000, 887000000, 610000000, 611000000, 612000000, 613000000, 614000000,
+ 615000000, 616000000, 617000000, 618000000, 619000000, 690000000, 691000000,
+ 816000000, 817000000, 896000000, 897000000, 620000000, 621000000, 622000000,
+ 623000000, 624000000, 625000000, 626000000, 627000000, 628000000, 629000000,
+ 682000000, 683000000, 826000000, 827000000, 868000000, 869000000, 630000000,
+ 631000000, 632000000, 633000000, 634000000, 635000000, 636000000, 637000000,
+ 638000000, 639000000, 692000000, 693000000, 836000000, 837000000, 878000000,
+ 879000000, 640000000, 641000000, 642000000, 643000000, 644000000, 645000000,
+ 646000000, 647000000, 648000000, 649000000, 684000000, 685000000, 846000000,
+ 847000000, 688000000, 689000000, 650000000, 651000000, 652000000, 653000000,
+ 654000000, 655000000, 656000000, 657000000, 658000000, 659000000, 694000000,
+ 695000000, 856000000, 857000000, 698000000, 699000000, 660000000, 661000000,
+ 662000000, 663000000, 664000000, 665000000, 666000000, 667000000, 668000000,
+ 669000000, 686000000, 687000000, 866000000, 867000000, 888000000, 889000000,
+ 670000000, 671000000, 672000000, 673000000, 674000000, 675000000, 676000000,
+ 677000000, 678000000, 679000000, 696000000, 697000000, 876000000, 877000000,
+ 898000000, 899000000, 700000000, 701000000, 702000000, 703000000, 704000000,
+ 705000000, 706000000, 707000000, 708000000, 709000000, 780000000, 781000000,
+ 906000000, 907000000, 986000000, 987000000, 710000000, 711000000, 712000000,
+ 713000000, 714000000, 715000000, 716000000, 717000000, 718000000, 719000000,
+ 790000000, 791000000, 916000000, 917000000, 996000000, 997000000, 720000000,
+ 721000000, 722000000, 723000000, 724000000, 725000000, 726000000, 727000000,
+ 728000000, 729000000, 782000000, 783000000, 926000000, 927000000, 968000000,
+ 969000000, 730000000, 731000000, 732000000, 733000000, 734000000, 735000000,
+ 736000000, 737000000, 738000000, 739000000, 792000000, 793000000, 936000000,
+ 937000000, 978000000, 979000000, 740000000, 741000000, 742000000, 743000000,
+ 744000000, 745000000, 746000000, 747000000, 748000000, 749000000, 784000000,
+ 785000000, 946000000, 947000000, 788000000, 789000000, 750000000, 751000000,
+ 752000000, 753000000, 754000000, 755000000, 756000000, 757000000, 758000000,
+ 759000000, 794000000, 795000000, 956000000, 957000000, 798000000, 799000000,
+ 760000000, 761000000, 762000000, 763000000, 764000000, 765000000, 766000000,
+ 767000000, 768000000, 769000000, 786000000, 787000000, 966000000, 967000000,
+ 988000000, 989000000, 770000000, 771000000, 772000000, 773000000, 774000000,
+ 775000000, 776000000, 777000000, 778000000, 779000000, 796000000, 797000000,
+ 976000000, 977000000, 998000000, 999000000};
+#endif
+
+#if defined(DEC_BIN2CHAR) && DEC_BIN2CHAR==1 && !defined(DECBIN2CHAR)
+#define DECBIN2CHAR
+
+const uint8_t BIN2CHAR[4001]={
+ '\0','0','0','0', '\1','0','0','1', '\1','0','0','2', '\1','0','0','3', '\1','0','0','4',
+ '\1','0','0','5', '\1','0','0','6', '\1','0','0','7', '\1','0','0','8', '\1','0','0','9',
+ '\2','0','1','0', '\2','0','1','1', '\2','0','1','2', '\2','0','1','3', '\2','0','1','4',
+ '\2','0','1','5', '\2','0','1','6', '\2','0','1','7', '\2','0','1','8', '\2','0','1','9',
+ '\2','0','2','0', '\2','0','2','1', '\2','0','2','2', '\2','0','2','3', '\2','0','2','4',
+ '\2','0','2','5', '\2','0','2','6', '\2','0','2','7', '\2','0','2','8', '\2','0','2','9',
+ '\2','0','3','0', '\2','0','3','1', '\2','0','3','2', '\2','0','3','3', '\2','0','3','4',
+ '\2','0','3','5', '\2','0','3','6', '\2','0','3','7', '\2','0','3','8', '\2','0','3','9',
+ '\2','0','4','0', '\2','0','4','1', '\2','0','4','2', '\2','0','4','3', '\2','0','4','4',
+ '\2','0','4','5', '\2','0','4','6', '\2','0','4','7', '\2','0','4','8', '\2','0','4','9',
+ '\2','0','5','0', '\2','0','5','1', '\2','0','5','2', '\2','0','5','3', '\2','0','5','4',
+ '\2','0','5','5', '\2','0','5','6', '\2','0','5','7', '\2','0','5','8', '\2','0','5','9',
+ '\2','0','6','0', '\2','0','6','1', '\2','0','6','2', '\2','0','6','3', '\2','0','6','4',
+ '\2','0','6','5', '\2','0','6','6', '\2','0','6','7', '\2','0','6','8', '\2','0','6','9',
+ '\2','0','7','0', '\2','0','7','1', '\2','0','7','2', '\2','0','7','3', '\2','0','7','4',
+ '\2','0','7','5', '\2','0','7','6', '\2','0','7','7', '\2','0','7','8', '\2','0','7','9',
+ '\2','0','8','0', '\2','0','8','1', '\2','0','8','2', '\2','0','8','3', '\2','0','8','4',
+ '\2','0','8','5', '\2','0','8','6', '\2','0','8','7', '\2','0','8','8', '\2','0','8','9',
+ '\2','0','9','0', '\2','0','9','1', '\2','0','9','2', '\2','0','9','3', '\2','0','9','4',
+ '\2','0','9','5', '\2','0','9','6', '\2','0','9','7', '\2','0','9','8', '\2','0','9','9',
+ '\3','1','0','0', '\3','1','0','1', '\3','1','0','2', '\3','1','0','3', '\3','1','0','4',
+ '\3','1','0','5', '\3','1','0','6', '\3','1','0','7', '\3','1','0','8', '\3','1','0','9',
+ '\3','1','1','0', '\3','1','1','1', '\3','1','1','2', '\3','1','1','3', '\3','1','1','4',
+ '\3','1','1','5', '\3','1','1','6', '\3','1','1','7', '\3','1','1','8', '\3','1','1','9',
+ '\3','1','2','0', '\3','1','2','1', '\3','1','2','2', '\3','1','2','3', '\3','1','2','4',
+ '\3','1','2','5', '\3','1','2','6', '\3','1','2','7', '\3','1','2','8', '\3','1','2','9',
+ '\3','1','3','0', '\3','1','3','1', '\3','1','3','2', '\3','1','3','3', '\3','1','3','4',
+ '\3','1','3','5', '\3','1','3','6', '\3','1','3','7', '\3','1','3','8', '\3','1','3','9',
+ '\3','1','4','0', '\3','1','4','1', '\3','1','4','2', '\3','1','4','3', '\3','1','4','4',
+ '\3','1','4','5', '\3','1','4','6', '\3','1','4','7', '\3','1','4','8', '\3','1','4','9',
+ '\3','1','5','0', '\3','1','5','1', '\3','1','5','2', '\3','1','5','3', '\3','1','5','4',
+ '\3','1','5','5', '\3','1','5','6', '\3','1','5','7', '\3','1','5','8', '\3','1','5','9',
+ '\3','1','6','0', '\3','1','6','1', '\3','1','6','2', '\3','1','6','3', '\3','1','6','4',
+ '\3','1','6','5', '\3','1','6','6', '\3','1','6','7', '\3','1','6','8', '\3','1','6','9',
+ '\3','1','7','0', '\3','1','7','1', '\3','1','7','2', '\3','1','7','3', '\3','1','7','4',
+ '\3','1','7','5', '\3','1','7','6', '\3','1','7','7', '\3','1','7','8', '\3','1','7','9',
+ '\3','1','8','0', '\3','1','8','1', '\3','1','8','2', '\3','1','8','3', '\3','1','8','4',
+ '\3','1','8','5', '\3','1','8','6', '\3','1','8','7', '\3','1','8','8', '\3','1','8','9',
+ '\3','1','9','0', '\3','1','9','1', '\3','1','9','2', '\3','1','9','3', '\3','1','9','4',
+ '\3','1','9','5', '\3','1','9','6', '\3','1','9','7', '\3','1','9','8', '\3','1','9','9',
+ '\3','2','0','0', '\3','2','0','1', '\3','2','0','2', '\3','2','0','3', '\3','2','0','4',
+ '\3','2','0','5', '\3','2','0','6', '\3','2','0','7', '\3','2','0','8', '\3','2','0','9',
+ '\3','2','1','0', '\3','2','1','1', '\3','2','1','2', '\3','2','1','3', '\3','2','1','4',
+ '\3','2','1','5', '\3','2','1','6', '\3','2','1','7', '\3','2','1','8', '\3','2','1','9',
+ '\3','2','2','0', '\3','2','2','1', '\3','2','2','2', '\3','2','2','3', '\3','2','2','4',
+ '\3','2','2','5', '\3','2','2','6', '\3','2','2','7', '\3','2','2','8', '\3','2','2','9',
+ '\3','2','3','0', '\3','2','3','1', '\3','2','3','2', '\3','2','3','3', '\3','2','3','4',
+ '\3','2','3','5', '\3','2','3','6', '\3','2','3','7', '\3','2','3','8', '\3','2','3','9',
+ '\3','2','4','0', '\3','2','4','1', '\3','2','4','2', '\3','2','4','3', '\3','2','4','4',
+ '\3','2','4','5', '\3','2','4','6', '\3','2','4','7', '\3','2','4','8', '\3','2','4','9',
+ '\3','2','5','0', '\3','2','5','1', '\3','2','5','2', '\3','2','5','3', '\3','2','5','4',
+ '\3','2','5','5', '\3','2','5','6', '\3','2','5','7', '\3','2','5','8', '\3','2','5','9',
+ '\3','2','6','0', '\3','2','6','1', '\3','2','6','2', '\3','2','6','3', '\3','2','6','4',
+ '\3','2','6','5', '\3','2','6','6', '\3','2','6','7', '\3','2','6','8', '\3','2','6','9',
+ '\3','2','7','0', '\3','2','7','1', '\3','2','7','2', '\3','2','7','3', '\3','2','7','4',
+ '\3','2','7','5', '\3','2','7','6', '\3','2','7','7', '\3','2','7','8', '\3','2','7','9',
+ '\3','2','8','0', '\3','2','8','1', '\3','2','8','2', '\3','2','8','3', '\3','2','8','4',
+ '\3','2','8','5', '\3','2','8','6', '\3','2','8','7', '\3','2','8','8', '\3','2','8','9',
+ '\3','2','9','0', '\3','2','9','1', '\3','2','9','2', '\3','2','9','3', '\3','2','9','4',
+ '\3','2','9','5', '\3','2','9','6', '\3','2','9','7', '\3','2','9','8', '\3','2','9','9',
+ '\3','3','0','0', '\3','3','0','1', '\3','3','0','2', '\3','3','0','3', '\3','3','0','4',
+ '\3','3','0','5', '\3','3','0','6', '\3','3','0','7', '\3','3','0','8', '\3','3','0','9',
+ '\3','3','1','0', '\3','3','1','1', '\3','3','1','2', '\3','3','1','3', '\3','3','1','4',
+ '\3','3','1','5', '\3','3','1','6', '\3','3','1','7', '\3','3','1','8', '\3','3','1','9',
+ '\3','3','2','0', '\3','3','2','1', '\3','3','2','2', '\3','3','2','3', '\3','3','2','4',
+ '\3','3','2','5', '\3','3','2','6', '\3','3','2','7', '\3','3','2','8', '\3','3','2','9',
+ '\3','3','3','0', '\3','3','3','1', '\3','3','3','2', '\3','3','3','3', '\3','3','3','4',
+ '\3','3','3','5', '\3','3','3','6', '\3','3','3','7', '\3','3','3','8', '\3','3','3','9',
+ '\3','3','4','0', '\3','3','4','1', '\3','3','4','2', '\3','3','4','3', '\3','3','4','4',
+ '\3','3','4','5', '\3','3','4','6', '\3','3','4','7', '\3','3','4','8', '\3','3','4','9',
+ '\3','3','5','0', '\3','3','5','1', '\3','3','5','2', '\3','3','5','3', '\3','3','5','4',
+ '\3','3','5','5', '\3','3','5','6', '\3','3','5','7', '\3','3','5','8', '\3','3','5','9',
+ '\3','3','6','0', '\3','3','6','1', '\3','3','6','2', '\3','3','6','3', '\3','3','6','4',
+ '\3','3','6','5', '\3','3','6','6', '\3','3','6','7', '\3','3','6','8', '\3','3','6','9',
+ '\3','3','7','0', '\3','3','7','1', '\3','3','7','2', '\3','3','7','3', '\3','3','7','4',
+ '\3','3','7','5', '\3','3','7','6', '\3','3','7','7', '\3','3','7','8', '\3','3','7','9',
+ '\3','3','8','0', '\3','3','8','1', '\3','3','8','2', '\3','3','8','3', '\3','3','8','4',
+ '\3','3','8','5', '\3','3','8','6', '\3','3','8','7', '\3','3','8','8', '\3','3','8','9',
+ '\3','3','9','0', '\3','3','9','1', '\3','3','9','2', '\3','3','9','3', '\3','3','9','4',
+ '\3','3','9','5', '\3','3','9','6', '\3','3','9','7', '\3','3','9','8', '\3','3','9','9',
+ '\3','4','0','0', '\3','4','0','1', '\3','4','0','2', '\3','4','0','3', '\3','4','0','4',
+ '\3','4','0','5', '\3','4','0','6', '\3','4','0','7', '\3','4','0','8', '\3','4','0','9',
+ '\3','4','1','0', '\3','4','1','1', '\3','4','1','2', '\3','4','1','3', '\3','4','1','4',
+ '\3','4','1','5', '\3','4','1','6', '\3','4','1','7', '\3','4','1','8', '\3','4','1','9',
+ '\3','4','2','0', '\3','4','2','1', '\3','4','2','2', '\3','4','2','3', '\3','4','2','4',
+ '\3','4','2','5', '\3','4','2','6', '\3','4','2','7', '\3','4','2','8', '\3','4','2','9',
+ '\3','4','3','0', '\3','4','3','1', '\3','4','3','2', '\3','4','3','3', '\3','4','3','4',
+ '\3','4','3','5', '\3','4','3','6', '\3','4','3','7', '\3','4','3','8', '\3','4','3','9',
+ '\3','4','4','0', '\3','4','4','1', '\3','4','4','2', '\3','4','4','3', '\3','4','4','4',
+ '\3','4','4','5', '\3','4','4','6', '\3','4','4','7', '\3','4','4','8', '\3','4','4','9',
+ '\3','4','5','0', '\3','4','5','1', '\3','4','5','2', '\3','4','5','3', '\3','4','5','4',
+ '\3','4','5','5', '\3','4','5','6', '\3','4','5','7', '\3','4','5','8', '\3','4','5','9',
+ '\3','4','6','0', '\3','4','6','1', '\3','4','6','2', '\3','4','6','3', '\3','4','6','4',
+ '\3','4','6','5', '\3','4','6','6', '\3','4','6','7', '\3','4','6','8', '\3','4','6','9',
+ '\3','4','7','0', '\3','4','7','1', '\3','4','7','2', '\3','4','7','3', '\3','4','7','4',
+ '\3','4','7','5', '\3','4','7','6', '\3','4','7','7', '\3','4','7','8', '\3','4','7','9',
+ '\3','4','8','0', '\3','4','8','1', '\3','4','8','2', '\3','4','8','3', '\3','4','8','4',
+ '\3','4','8','5', '\3','4','8','6', '\3','4','8','7', '\3','4','8','8', '\3','4','8','9',
+ '\3','4','9','0', '\3','4','9','1', '\3','4','9','2', '\3','4','9','3', '\3','4','9','4',
+ '\3','4','9','5', '\3','4','9','6', '\3','4','9','7', '\3','4','9','8', '\3','4','9','9',
+ '\3','5','0','0', '\3','5','0','1', '\3','5','0','2', '\3','5','0','3', '\3','5','0','4',
+ '\3','5','0','5', '\3','5','0','6', '\3','5','0','7', '\3','5','0','8', '\3','5','0','9',
+ '\3','5','1','0', '\3','5','1','1', '\3','5','1','2', '\3','5','1','3', '\3','5','1','4',
+ '\3','5','1','5', '\3','5','1','6', '\3','5','1','7', '\3','5','1','8', '\3','5','1','9',
+ '\3','5','2','0', '\3','5','2','1', '\3','5','2','2', '\3','5','2','3', '\3','5','2','4',
+ '\3','5','2','5', '\3','5','2','6', '\3','5','2','7', '\3','5','2','8', '\3','5','2','9',
+ '\3','5','3','0', '\3','5','3','1', '\3','5','3','2', '\3','5','3','3', '\3','5','3','4',
+ '\3','5','3','5', '\3','5','3','6', '\3','5','3','7', '\3','5','3','8', '\3','5','3','9',
+ '\3','5','4','0', '\3','5','4','1', '\3','5','4','2', '\3','5','4','3', '\3','5','4','4',
+ '\3','5','4','5', '\3','5','4','6', '\3','5','4','7', '\3','5','4','8', '\3','5','4','9',
+ '\3','5','5','0', '\3','5','5','1', '\3','5','5','2', '\3','5','5','3', '\3','5','5','4',
+ '\3','5','5','5', '\3','5','5','6', '\3','5','5','7', '\3','5','5','8', '\3','5','5','9',
+ '\3','5','6','0', '\3','5','6','1', '\3','5','6','2', '\3','5','6','3', '\3','5','6','4',
+ '\3','5','6','5', '\3','5','6','6', '\3','5','6','7', '\3','5','6','8', '\3','5','6','9',
+ '\3','5','7','0', '\3','5','7','1', '\3','5','7','2', '\3','5','7','3', '\3','5','7','4',
+ '\3','5','7','5', '\3','5','7','6', '\3','5','7','7', '\3','5','7','8', '\3','5','7','9',
+ '\3','5','8','0', '\3','5','8','1', '\3','5','8','2', '\3','5','8','3', '\3','5','8','4',
+ '\3','5','8','5', '\3','5','8','6', '\3','5','8','7', '\3','5','8','8', '\3','5','8','9',
+ '\3','5','9','0', '\3','5','9','1', '\3','5','9','2', '\3','5','9','3', '\3','5','9','4',
+ '\3','5','9','5', '\3','5','9','6', '\3','5','9','7', '\3','5','9','8', '\3','5','9','9',
+ '\3','6','0','0', '\3','6','0','1', '\3','6','0','2', '\3','6','0','3', '\3','6','0','4',
+ '\3','6','0','5', '\3','6','0','6', '\3','6','0','7', '\3','6','0','8', '\3','6','0','9',
+ '\3','6','1','0', '\3','6','1','1', '\3','6','1','2', '\3','6','1','3', '\3','6','1','4',
+ '\3','6','1','5', '\3','6','1','6', '\3','6','1','7', '\3','6','1','8', '\3','6','1','9',
+ '\3','6','2','0', '\3','6','2','1', '\3','6','2','2', '\3','6','2','3', '\3','6','2','4',
+ '\3','6','2','5', '\3','6','2','6', '\3','6','2','7', '\3','6','2','8', '\3','6','2','9',
+ '\3','6','3','0', '\3','6','3','1', '\3','6','3','2', '\3','6','3','3', '\3','6','3','4',
+ '\3','6','3','5', '\3','6','3','6', '\3','6','3','7', '\3','6','3','8', '\3','6','3','9',
+ '\3','6','4','0', '\3','6','4','1', '\3','6','4','2', '\3','6','4','3', '\3','6','4','4',
+ '\3','6','4','5', '\3','6','4','6', '\3','6','4','7', '\3','6','4','8', '\3','6','4','9',
+ '\3','6','5','0', '\3','6','5','1', '\3','6','5','2', '\3','6','5','3', '\3','6','5','4',
+ '\3','6','5','5', '\3','6','5','6', '\3','6','5','7', '\3','6','5','8', '\3','6','5','9',
+ '\3','6','6','0', '\3','6','6','1', '\3','6','6','2', '\3','6','6','3', '\3','6','6','4',
+ '\3','6','6','5', '\3','6','6','6', '\3','6','6','7', '\3','6','6','8', '\3','6','6','9',
+ '\3','6','7','0', '\3','6','7','1', '\3','6','7','2', '\3','6','7','3', '\3','6','7','4',
+ '\3','6','7','5', '\3','6','7','6', '\3','6','7','7', '\3','6','7','8', '\3','6','7','9',
+ '\3','6','8','0', '\3','6','8','1', '\3','6','8','2', '\3','6','8','3', '\3','6','8','4',
+ '\3','6','8','5', '\3','6','8','6', '\3','6','8','7', '\3','6','8','8', '\3','6','8','9',
+ '\3','6','9','0', '\3','6','9','1', '\3','6','9','2', '\3','6','9','3', '\3','6','9','4',
+ '\3','6','9','5', '\3','6','9','6', '\3','6','9','7', '\3','6','9','8', '\3','6','9','9',
+ '\3','7','0','0', '\3','7','0','1', '\3','7','0','2', '\3','7','0','3', '\3','7','0','4',
+ '\3','7','0','5', '\3','7','0','6', '\3','7','0','7', '\3','7','0','8', '\3','7','0','9',
+ '\3','7','1','0', '\3','7','1','1', '\3','7','1','2', '\3','7','1','3', '\3','7','1','4',
+ '\3','7','1','5', '\3','7','1','6', '\3','7','1','7', '\3','7','1','8', '\3','7','1','9',
+ '\3','7','2','0', '\3','7','2','1', '\3','7','2','2', '\3','7','2','3', '\3','7','2','4',
+ '\3','7','2','5', '\3','7','2','6', '\3','7','2','7', '\3','7','2','8', '\3','7','2','9',
+ '\3','7','3','0', '\3','7','3','1', '\3','7','3','2', '\3','7','3','3', '\3','7','3','4',
+ '\3','7','3','5', '\3','7','3','6', '\3','7','3','7', '\3','7','3','8', '\3','7','3','9',
+ '\3','7','4','0', '\3','7','4','1', '\3','7','4','2', '\3','7','4','3', '\3','7','4','4',
+ '\3','7','4','5', '\3','7','4','6', '\3','7','4','7', '\3','7','4','8', '\3','7','4','9',
+ '\3','7','5','0', '\3','7','5','1', '\3','7','5','2', '\3','7','5','3', '\3','7','5','4',
+ '\3','7','5','5', '\3','7','5','6', '\3','7','5','7', '\3','7','5','8', '\3','7','5','9',
+ '\3','7','6','0', '\3','7','6','1', '\3','7','6','2', '\3','7','6','3', '\3','7','6','4',
+ '\3','7','6','5', '\3','7','6','6', '\3','7','6','7', '\3','7','6','8', '\3','7','6','9',
+ '\3','7','7','0', '\3','7','7','1', '\3','7','7','2', '\3','7','7','3', '\3','7','7','4',
+ '\3','7','7','5', '\3','7','7','6', '\3','7','7','7', '\3','7','7','8', '\3','7','7','9',
+ '\3','7','8','0', '\3','7','8','1', '\3','7','8','2', '\3','7','8','3', '\3','7','8','4',
+ '\3','7','8','5', '\3','7','8','6', '\3','7','8','7', '\3','7','8','8', '\3','7','8','9',
+ '\3','7','9','0', '\3','7','9','1', '\3','7','9','2', '\3','7','9','3', '\3','7','9','4',
+ '\3','7','9','5', '\3','7','9','6', '\3','7','9','7', '\3','7','9','8', '\3','7','9','9',
+ '\3','8','0','0', '\3','8','0','1', '\3','8','0','2', '\3','8','0','3', '\3','8','0','4',
+ '\3','8','0','5', '\3','8','0','6', '\3','8','0','7', '\3','8','0','8', '\3','8','0','9',
+ '\3','8','1','0', '\3','8','1','1', '\3','8','1','2', '\3','8','1','3', '\3','8','1','4',
+ '\3','8','1','5', '\3','8','1','6', '\3','8','1','7', '\3','8','1','8', '\3','8','1','9',
+ '\3','8','2','0', '\3','8','2','1', '\3','8','2','2', '\3','8','2','3', '\3','8','2','4',
+ '\3','8','2','5', '\3','8','2','6', '\3','8','2','7', '\3','8','2','8', '\3','8','2','9',
+ '\3','8','3','0', '\3','8','3','1', '\3','8','3','2', '\3','8','3','3', '\3','8','3','4',
+ '\3','8','3','5', '\3','8','3','6', '\3','8','3','7', '\3','8','3','8', '\3','8','3','9',
+ '\3','8','4','0', '\3','8','4','1', '\3','8','4','2', '\3','8','4','3', '\3','8','4','4',
+ '\3','8','4','5', '\3','8','4','6', '\3','8','4','7', '\3','8','4','8', '\3','8','4','9',
+ '\3','8','5','0', '\3','8','5','1', '\3','8','5','2', '\3','8','5','3', '\3','8','5','4',
+ '\3','8','5','5', '\3','8','5','6', '\3','8','5','7', '\3','8','5','8', '\3','8','5','9',
+ '\3','8','6','0', '\3','8','6','1', '\3','8','6','2', '\3','8','6','3', '\3','8','6','4',
+ '\3','8','6','5', '\3','8','6','6', '\3','8','6','7', '\3','8','6','8', '\3','8','6','9',
+ '\3','8','7','0', '\3','8','7','1', '\3','8','7','2', '\3','8','7','3', '\3','8','7','4',
+ '\3','8','7','5', '\3','8','7','6', '\3','8','7','7', '\3','8','7','8', '\3','8','7','9',
+ '\3','8','8','0', '\3','8','8','1', '\3','8','8','2', '\3','8','8','3', '\3','8','8','4',
+ '\3','8','8','5', '\3','8','8','6', '\3','8','8','7', '\3','8','8','8', '\3','8','8','9',
+ '\3','8','9','0', '\3','8','9','1', '\3','8','9','2', '\3','8','9','3', '\3','8','9','4',
+ '\3','8','9','5', '\3','8','9','6', '\3','8','9','7', '\3','8','9','8', '\3','8','9','9',
+ '\3','9','0','0', '\3','9','0','1', '\3','9','0','2', '\3','9','0','3', '\3','9','0','4',
+ '\3','9','0','5', '\3','9','0','6', '\3','9','0','7', '\3','9','0','8', '\3','9','0','9',
+ '\3','9','1','0', '\3','9','1','1', '\3','9','1','2', '\3','9','1','3', '\3','9','1','4',
+ '\3','9','1','5', '\3','9','1','6', '\3','9','1','7', '\3','9','1','8', '\3','9','1','9',
+ '\3','9','2','0', '\3','9','2','1', '\3','9','2','2', '\3','9','2','3', '\3','9','2','4',
+ '\3','9','2','5', '\3','9','2','6', '\3','9','2','7', '\3','9','2','8', '\3','9','2','9',
+ '\3','9','3','0', '\3','9','3','1', '\3','9','3','2', '\3','9','3','3', '\3','9','3','4',
+ '\3','9','3','5', '\3','9','3','6', '\3','9','3','7', '\3','9','3','8', '\3','9','3','9',
+ '\3','9','4','0', '\3','9','4','1', '\3','9','4','2', '\3','9','4','3', '\3','9','4','4',
+ '\3','9','4','5', '\3','9','4','6', '\3','9','4','7', '\3','9','4','8', '\3','9','4','9',
+ '\3','9','5','0', '\3','9','5','1', '\3','9','5','2', '\3','9','5','3', '\3','9','5','4',
+ '\3','9','5','5', '\3','9','5','6', '\3','9','5','7', '\3','9','5','8', '\3','9','5','9',
+ '\3','9','6','0', '\3','9','6','1', '\3','9','6','2', '\3','9','6','3', '\3','9','6','4',
+ '\3','9','6','5', '\3','9','6','6', '\3','9','6','7', '\3','9','6','8', '\3','9','6','9',
+ '\3','9','7','0', '\3','9','7','1', '\3','9','7','2', '\3','9','7','3', '\3','9','7','4',
+ '\3','9','7','5', '\3','9','7','6', '\3','9','7','7', '\3','9','7','8', '\3','9','7','9',
+ '\3','9','8','0', '\3','9','8','1', '\3','9','8','2', '\3','9','8','3', '\3','9','8','4',
+ '\3','9','8','5', '\3','9','8','6', '\3','9','8','7', '\3','9','8','8', '\3','9','8','9',
+ '\3','9','9','0', '\3','9','9','1', '\3','9','9','2', '\3','9','9','3', '\3','9','9','4',
+ '\3','9','9','5', '\3','9','9','6', '\3','9','9','7', '\3','9','9','8', '\3','9','9','9', '\0'};
+#endif
+
+#if defined(DEC_DPD2BCD8) && DEC_DPD2BCD8==1 && !defined(DECDPD2BCD8)
+#define DECDPD2BCD8
+
+const uint8_t DPD2BCD8[4096]={
+ 0,0,0,0, 0,0,1,1, 0,0,2,1, 0,0,3,1, 0,0,4,1, 0,0,5,1, 0,0,6,1, 0,0,7,1, 0,0,8,1,
+ 0,0,9,1, 0,8,0,2, 0,8,1,2, 8,0,0,3, 8,0,1,3, 8,8,0,3, 8,8,1,3, 0,1,0,2, 0,1,1,2,
+ 0,1,2,2, 0,1,3,2, 0,1,4,2, 0,1,5,2, 0,1,6,2, 0,1,7,2, 0,1,8,2, 0,1,9,2, 0,9,0,2,
+ 0,9,1,2, 8,1,0,3, 8,1,1,3, 8,9,0,3, 8,9,1,3, 0,2,0,2, 0,2,1,2, 0,2,2,2, 0,2,3,2,
+ 0,2,4,2, 0,2,5,2, 0,2,6,2, 0,2,7,2, 0,2,8,2, 0,2,9,2, 0,8,2,2, 0,8,3,2, 8,2,0,3,
+ 8,2,1,3, 8,0,8,3, 8,0,9,3, 0,3,0,2, 0,3,1,2, 0,3,2,2, 0,3,3,2, 0,3,4,2, 0,3,5,2,
+ 0,3,6,2, 0,3,7,2, 0,3,8,2, 0,3,9,2, 0,9,2,2, 0,9,3,2, 8,3,0,3, 8,3,1,3, 8,1,8,3,
+ 8,1,9,3, 0,4,0,2, 0,4,1,2, 0,4,2,2, 0,4,3,2, 0,4,4,2, 0,4,5,2, 0,4,6,2, 0,4,7,2,
+ 0,4,8,2, 0,4,9,2, 0,8,4,2, 0,8,5,2, 8,4,0,3, 8,4,1,3, 0,8,8,2, 0,8,9,2, 0,5,0,2,
+ 0,5,1,2, 0,5,2,2, 0,5,3,2, 0,5,4,2, 0,5,5,2, 0,5,6,2, 0,5,7,2, 0,5,8,2, 0,5,9,2,
+ 0,9,4,2, 0,9,5,2, 8,5,0,3, 8,5,1,3, 0,9,8,2, 0,9,9,2, 0,6,0,2, 0,6,1,2, 0,6,2,2,
+ 0,6,3,2, 0,6,4,2, 0,6,5,2, 0,6,6,2, 0,6,7,2, 0,6,8,2, 0,6,9,2, 0,8,6,2, 0,8,7,2,
+ 8,6,0,3, 8,6,1,3, 8,8,8,3, 8,8,9,3, 0,7,0,2, 0,7,1,2, 0,7,2,2, 0,7,3,2, 0,7,4,2,
+ 0,7,5,2, 0,7,6,2, 0,7,7,2, 0,7,8,2, 0,7,9,2, 0,9,6,2, 0,9,7,2, 8,7,0,3, 8,7,1,3,
+ 8,9,8,3, 8,9,9,3, 1,0,0,3, 1,0,1,3, 1,0,2,3, 1,0,3,3, 1,0,4,3, 1,0,5,3, 1,0,6,3,
+ 1,0,7,3, 1,0,8,3, 1,0,9,3, 1,8,0,3, 1,8,1,3, 9,0,0,3, 9,0,1,3, 9,8,0,3, 9,8,1,3,
+ 1,1,0,3, 1,1,1,3, 1,1,2,3, 1,1,3,3, 1,1,4,3, 1,1,5,3, 1,1,6,3, 1,1,7,3, 1,1,8,3,
+ 1,1,9,3, 1,9,0,3, 1,9,1,3, 9,1,0,3, 9,1,1,3, 9,9,0,3, 9,9,1,3, 1,2,0,3, 1,2,1,3,
+ 1,2,2,3, 1,2,3,3, 1,2,4,3, 1,2,5,3, 1,2,6,3, 1,2,7,3, 1,2,8,3, 1,2,9,3, 1,8,2,3,
+ 1,8,3,3, 9,2,0,3, 9,2,1,3, 9,0,8,3, 9,0,9,3, 1,3,0,3, 1,3,1,3, 1,3,2,3, 1,3,3,3,
+ 1,3,4,3, 1,3,5,3, 1,3,6,3, 1,3,7,3, 1,3,8,3, 1,3,9,3, 1,9,2,3, 1,9,3,3, 9,3,0,3,
+ 9,3,1,3, 9,1,8,3, 9,1,9,3, 1,4,0,3, 1,4,1,3, 1,4,2,3, 1,4,3,3, 1,4,4,3, 1,4,5,3,
+ 1,4,6,3, 1,4,7,3, 1,4,8,3, 1,4,9,3, 1,8,4,3, 1,8,5,3, 9,4,0,3, 9,4,1,3, 1,8,8,3,
+ 1,8,9,3, 1,5,0,3, 1,5,1,3, 1,5,2,3, 1,5,3,3, 1,5,4,3, 1,5,5,3, 1,5,6,3, 1,5,7,3,
+ 1,5,8,3, 1,5,9,3, 1,9,4,3, 1,9,5,3, 9,5,0,3, 9,5,1,3, 1,9,8,3, 1,9,9,3, 1,6,0,3,
+ 1,6,1,3, 1,6,2,3, 1,6,3,3, 1,6,4,3, 1,6,5,3, 1,6,6,3, 1,6,7,3, 1,6,8,3, 1,6,9,3,
+ 1,8,6,3, 1,8,7,3, 9,6,0,3, 9,6,1,3, 9,8,8,3, 9,8,9,3, 1,7,0,3, 1,7,1,3, 1,7,2,3,
+ 1,7,3,3, 1,7,4,3, 1,7,5,3, 1,7,6,3, 1,7,7,3, 1,7,8,3, 1,7,9,3, 1,9,6,3, 1,9,7,3,
+ 9,7,0,3, 9,7,1,3, 9,9,8,3, 9,9,9,3, 2,0,0,3, 2,0,1,3, 2,0,2,3, 2,0,3,3, 2,0,4,3,
+ 2,0,5,3, 2,0,6,3, 2,0,7,3, 2,0,8,3, 2,0,9,3, 2,8,0,3, 2,8,1,3, 8,0,2,3, 8,0,3,3,
+ 8,8,2,3, 8,8,3,3, 2,1,0,3, 2,1,1,3, 2,1,2,3, 2,1,3,3, 2,1,4,3, 2,1,5,3, 2,1,6,3,
+ 2,1,7,3, 2,1,8,3, 2,1,9,3, 2,9,0,3, 2,9,1,3, 8,1,2,3, 8,1,3,3, 8,9,2,3, 8,9,3,3,
+ 2,2,0,3, 2,2,1,3, 2,2,2,3, 2,2,3,3, 2,2,4,3, 2,2,5,3, 2,2,6,3, 2,2,7,3, 2,2,8,3,
+ 2,2,9,3, 2,8,2,3, 2,8,3,3, 8,2,2,3, 8,2,3,3, 8,2,8,3, 8,2,9,3, 2,3,0,3, 2,3,1,3,
+ 2,3,2,3, 2,3,3,3, 2,3,4,3, 2,3,5,3, 2,3,6,3, 2,3,7,3, 2,3,8,3, 2,3,9,3, 2,9,2,3,
+ 2,9,3,3, 8,3,2,3, 8,3,3,3, 8,3,8,3, 8,3,9,3, 2,4,0,3, 2,4,1,3, 2,4,2,3, 2,4,3,3,
+ 2,4,4,3, 2,4,5,3, 2,4,6,3, 2,4,7,3, 2,4,8,3, 2,4,9,3, 2,8,4,3, 2,8,5,3, 8,4,2,3,
+ 8,4,3,3, 2,8,8,3, 2,8,9,3, 2,5,0,3, 2,5,1,3, 2,5,2,3, 2,5,3,3, 2,5,4,3, 2,5,5,3,
+ 2,5,6,3, 2,5,7,3, 2,5,8,3, 2,5,9,3, 2,9,4,3, 2,9,5,3, 8,5,2,3, 8,5,3,3, 2,9,8,3,
+ 2,9,9,3, 2,6,0,3, 2,6,1,3, 2,6,2,3, 2,6,3,3, 2,6,4,3, 2,6,5,3, 2,6,6,3, 2,6,7,3,
+ 2,6,8,3, 2,6,9,3, 2,8,6,3, 2,8,7,3, 8,6,2,3, 8,6,3,3, 8,8,8,3, 8,8,9,3, 2,7,0,3,
+ 2,7,1,3, 2,7,2,3, 2,7,3,3, 2,7,4,3, 2,7,5,3, 2,7,6,3, 2,7,7,3, 2,7,8,3, 2,7,9,3,
+ 2,9,6,3, 2,9,7,3, 8,7,2,3, 8,7,3,3, 8,9,8,3, 8,9,9,3, 3,0,0,3, 3,0,1,3, 3,0,2,3,
+ 3,0,3,3, 3,0,4,3, 3,0,5,3, 3,0,6,3, 3,0,7,3, 3,0,8,3, 3,0,9,3, 3,8,0,3, 3,8,1,3,
+ 9,0,2,3, 9,0,3,3, 9,8,2,3, 9,8,3,3, 3,1,0,3, 3,1,1,3, 3,1,2,3, 3,1,3,3, 3,1,4,3,
+ 3,1,5,3, 3,1,6,3, 3,1,7,3, 3,1,8,3, 3,1,9,3, 3,9,0,3, 3,9,1,3, 9,1,2,3, 9,1,3,3,
+ 9,9,2,3, 9,9,3,3, 3,2,0,3, 3,2,1,3, 3,2,2,3, 3,2,3,3, 3,2,4,3, 3,2,5,3, 3,2,6,3,
+ 3,2,7,3, 3,2,8,3, 3,2,9,3, 3,8,2,3, 3,8,3,3, 9,2,2,3, 9,2,3,3, 9,2,8,3, 9,2,9,3,
+ 3,3,0,3, 3,3,1,3, 3,3,2,3, 3,3,3,3, 3,3,4,3, 3,3,5,3, 3,3,6,3, 3,3,7,3, 3,3,8,3,
+ 3,3,9,3, 3,9,2,3, 3,9,3,3, 9,3,2,3, 9,3,3,3, 9,3,8,3, 9,3,9,3, 3,4,0,3, 3,4,1,3,
+ 3,4,2,3, 3,4,3,3, 3,4,4,3, 3,4,5,3, 3,4,6,3, 3,4,7,3, 3,4,8,3, 3,4,9,3, 3,8,4,3,
+ 3,8,5,3, 9,4,2,3, 9,4,3,3, 3,8,8,3, 3,8,9,3, 3,5,0,3, 3,5,1,3, 3,5,2,3, 3,5,3,3,
+ 3,5,4,3, 3,5,5,3, 3,5,6,3, 3,5,7,3, 3,5,8,3, 3,5,9,3, 3,9,4,3, 3,9,5,3, 9,5,2,3,
+ 9,5,3,3, 3,9,8,3, 3,9,9,3, 3,6,0,3, 3,6,1,3, 3,6,2,3, 3,6,3,3, 3,6,4,3, 3,6,5,3,
+ 3,6,6,3, 3,6,7,3, 3,6,8,3, 3,6,9,3, 3,8,6,3, 3,8,7,3, 9,6,2,3, 9,6,3,3, 9,8,8,3,
+ 9,8,9,3, 3,7,0,3, 3,7,1,3, 3,7,2,3, 3,7,3,3, 3,7,4,3, 3,7,5,3, 3,7,6,3, 3,7,7,3,
+ 3,7,8,3, 3,7,9,3, 3,9,6,3, 3,9,7,3, 9,7,2,3, 9,7,3,3, 9,9,8,3, 9,9,9,3, 4,0,0,3,
+ 4,0,1,3, 4,0,2,3, 4,0,3,3, 4,0,4,3, 4,0,5,3, 4,0,6,3, 4,0,7,3, 4,0,8,3, 4,0,9,3,
+ 4,8,0,3, 4,8,1,3, 8,0,4,3, 8,0,5,3, 8,8,4,3, 8,8,5,3, 4,1,0,3, 4,1,1,3, 4,1,2,3,
+ 4,1,3,3, 4,1,4,3, 4,1,5,3, 4,1,6,3, 4,1,7,3, 4,1,8,3, 4,1,9,3, 4,9,0,3, 4,9,1,3,
+ 8,1,4,3, 8,1,5,3, 8,9,4,3, 8,9,5,3, 4,2,0,3, 4,2,1,3, 4,2,2,3, 4,2,3,3, 4,2,4,3,
+ 4,2,5,3, 4,2,6,3, 4,2,7,3, 4,2,8,3, 4,2,9,3, 4,8,2,3, 4,8,3,3, 8,2,4,3, 8,2,5,3,
+ 8,4,8,3, 8,4,9,3, 4,3,0,3, 4,3,1,3, 4,3,2,3, 4,3,3,3, 4,3,4,3, 4,3,5,3, 4,3,6,3,
+ 4,3,7,3, 4,3,8,3, 4,3,9,3, 4,9,2,3, 4,9,3,3, 8,3,4,3, 8,3,5,3, 8,5,8,3, 8,5,9,3,
+ 4,4,0,3, 4,4,1,3, 4,4,2,3, 4,4,3,3, 4,4,4,3, 4,4,5,3, 4,4,6,3, 4,4,7,3, 4,4,8,3,
+ 4,4,9,3, 4,8,4,3, 4,8,5,3, 8,4,4,3, 8,4,5,3, 4,8,8,3, 4,8,9,3, 4,5,0,3, 4,5,1,3,
+ 4,5,2,3, 4,5,3,3, 4,5,4,3, 4,5,5,3, 4,5,6,3, 4,5,7,3, 4,5,8,3, 4,5,9,3, 4,9,4,3,
+ 4,9,5,3, 8,5,4,3, 8,5,5,3, 4,9,8,3, 4,9,9,3, 4,6,0,3, 4,6,1,3, 4,6,2,3, 4,6,3,3,
+ 4,6,4,3, 4,6,5,3, 4,6,6,3, 4,6,7,3, 4,6,8,3, 4,6,9,3, 4,8,6,3, 4,8,7,3, 8,6,4,3,
+ 8,6,5,3, 8,8,8,3, 8,8,9,3, 4,7,0,3, 4,7,1,3, 4,7,2,3, 4,7,3,3, 4,7,4,3, 4,7,5,3,
+ 4,7,6,3, 4,7,7,3, 4,7,8,3, 4,7,9,3, 4,9,6,3, 4,9,7,3, 8,7,4,3, 8,7,5,3, 8,9,8,3,
+ 8,9,9,3, 5,0,0,3, 5,0,1,3, 5,0,2,3, 5,0,3,3, 5,0,4,3, 5,0,5,3, 5,0,6,3, 5,0,7,3,
+ 5,0,8,3, 5,0,9,3, 5,8,0,3, 5,8,1,3, 9,0,4,3, 9,0,5,3, 9,8,4,3, 9,8,5,3, 5,1,0,3,
+ 5,1,1,3, 5,1,2,3, 5,1,3,3, 5,1,4,3, 5,1,5,3, 5,1,6,3, 5,1,7,3, 5,1,8,3, 5,1,9,3,
+ 5,9,0,3, 5,9,1,3, 9,1,4,3, 9,1,5,3, 9,9,4,3, 9,9,5,3, 5,2,0,3, 5,2,1,3, 5,2,2,3,
+ 5,2,3,3, 5,2,4,3, 5,2,5,3, 5,2,6,3, 5,2,7,3, 5,2,8,3, 5,2,9,3, 5,8,2,3, 5,8,3,3,
+ 9,2,4,3, 9,2,5,3, 9,4,8,3, 9,4,9,3, 5,3,0,3, 5,3,1,3, 5,3,2,3, 5,3,3,3, 5,3,4,3,
+ 5,3,5,3, 5,3,6,3, 5,3,7,3, 5,3,8,3, 5,3,9,3, 5,9,2,3, 5,9,3,3, 9,3,4,3, 9,3,5,3,
+ 9,5,8,3, 9,5,9,3, 5,4,0,3, 5,4,1,3, 5,4,2,3, 5,4,3,3, 5,4,4,3, 5,4,5,3, 5,4,6,3,
+ 5,4,7,3, 5,4,8,3, 5,4,9,3, 5,8,4,3, 5,8,5,3, 9,4,4,3, 9,4,5,3, 5,8,8,3, 5,8,9,3,
+ 5,5,0,3, 5,5,1,3, 5,5,2,3, 5,5,3,3, 5,5,4,3, 5,5,5,3, 5,5,6,3, 5,5,7,3, 5,5,8,3,
+ 5,5,9,3, 5,9,4,3, 5,9,5,3, 9,5,4,3, 9,5,5,3, 5,9,8,3, 5,9,9,3, 5,6,0,3, 5,6,1,3,
+ 5,6,2,3, 5,6,3,3, 5,6,4,3, 5,6,5,3, 5,6,6,3, 5,6,7,3, 5,6,8,3, 5,6,9,3, 5,8,6,3,
+ 5,8,7,3, 9,6,4,3, 9,6,5,3, 9,8,8,3, 9,8,9,3, 5,7,0,3, 5,7,1,3, 5,7,2,3, 5,7,3,3,
+ 5,7,4,3, 5,7,5,3, 5,7,6,3, 5,7,7,3, 5,7,8,3, 5,7,9,3, 5,9,6,3, 5,9,7,3, 9,7,4,3,
+ 9,7,5,3, 9,9,8,3, 9,9,9,3, 6,0,0,3, 6,0,1,3, 6,0,2,3, 6,0,3,3, 6,0,4,3, 6,0,5,3,
+ 6,0,6,3, 6,0,7,3, 6,0,8,3, 6,0,9,3, 6,8,0,3, 6,8,1,3, 8,0,6,3, 8,0,7,3, 8,8,6,3,
+ 8,8,7,3, 6,1,0,3, 6,1,1,3, 6,1,2,3, 6,1,3,3, 6,1,4,3, 6,1,5,3, 6,1,6,3, 6,1,7,3,
+ 6,1,8,3, 6,1,9,3, 6,9,0,3, 6,9,1,3, 8,1,6,3, 8,1,7,3, 8,9,6,3, 8,9,7,3, 6,2,0,3,
+ 6,2,1,3, 6,2,2,3, 6,2,3,3, 6,2,4,3, 6,2,5,3, 6,2,6,3, 6,2,7,3, 6,2,8,3, 6,2,9,3,
+ 6,8,2,3, 6,8,3,3, 8,2,6,3, 8,2,7,3, 8,6,8,3, 8,6,9,3, 6,3,0,3, 6,3,1,3, 6,3,2,3,
+ 6,3,3,3, 6,3,4,3, 6,3,5,3, 6,3,6,3, 6,3,7,3, 6,3,8,3, 6,3,9,3, 6,9,2,3, 6,9,3,3,
+ 8,3,6,3, 8,3,7,3, 8,7,8,3, 8,7,9,3, 6,4,0,3, 6,4,1,3, 6,4,2,3, 6,4,3,3, 6,4,4,3,
+ 6,4,5,3, 6,4,6,3, 6,4,7,3, 6,4,8,3, 6,4,9,3, 6,8,4,3, 6,8,5,3, 8,4,6,3, 8,4,7,3,
+ 6,8,8,3, 6,8,9,3, 6,5,0,3, 6,5,1,3, 6,5,2,3, 6,5,3,3, 6,5,4,3, 6,5,5,3, 6,5,6,3,
+ 6,5,7,3, 6,5,8,3, 6,5,9,3, 6,9,4,3, 6,9,5,3, 8,5,6,3, 8,5,7,3, 6,9,8,3, 6,9,9,3,
+ 6,6,0,3, 6,6,1,3, 6,6,2,3, 6,6,3,3, 6,6,4,3, 6,6,5,3, 6,6,6,3, 6,6,7,3, 6,6,8,3,
+ 6,6,9,3, 6,8,6,3, 6,8,7,3, 8,6,6,3, 8,6,7,3, 8,8,8,3, 8,8,9,3, 6,7,0,3, 6,7,1,3,
+ 6,7,2,3, 6,7,3,3, 6,7,4,3, 6,7,5,3, 6,7,6,3, 6,7,7,3, 6,7,8,3, 6,7,9,3, 6,9,6,3,
+ 6,9,7,3, 8,7,6,3, 8,7,7,3, 8,9,8,3, 8,9,9,3, 7,0,0,3, 7,0,1,3, 7,0,2,3, 7,0,3,3,
+ 7,0,4,3, 7,0,5,3, 7,0,6,3, 7,0,7,3, 7,0,8,3, 7,0,9,3, 7,8,0,3, 7,8,1,3, 9,0,6,3,
+ 9,0,7,3, 9,8,6,3, 9,8,7,3, 7,1,0,3, 7,1,1,3, 7,1,2,3, 7,1,3,3, 7,1,4,3, 7,1,5,3,
+ 7,1,6,3, 7,1,7,3, 7,1,8,3, 7,1,9,3, 7,9,0,3, 7,9,1,3, 9,1,6,3, 9,1,7,3, 9,9,6,3,
+ 9,9,7,3, 7,2,0,3, 7,2,1,3, 7,2,2,3, 7,2,3,3, 7,2,4,3, 7,2,5,3, 7,2,6,3, 7,2,7,3,
+ 7,2,8,3, 7,2,9,3, 7,8,2,3, 7,8,3,3, 9,2,6,3, 9,2,7,3, 9,6,8,3, 9,6,9,3, 7,3,0,3,
+ 7,3,1,3, 7,3,2,3, 7,3,3,3, 7,3,4,3, 7,3,5,3, 7,3,6,3, 7,3,7,3, 7,3,8,3, 7,3,9,3,
+ 7,9,2,3, 7,9,3,3, 9,3,6,3, 9,3,7,3, 9,7,8,3, 9,7,9,3, 7,4,0,3, 7,4,1,3, 7,4,2,3,
+ 7,4,3,3, 7,4,4,3, 7,4,5,3, 7,4,6,3, 7,4,7,3, 7,4,8,3, 7,4,9,3, 7,8,4,3, 7,8,5,3,
+ 9,4,6,3, 9,4,7,3, 7,8,8,3, 7,8,9,3, 7,5,0,3, 7,5,1,3, 7,5,2,3, 7,5,3,3, 7,5,4,3,
+ 7,5,5,3, 7,5,6,3, 7,5,7,3, 7,5,8,3, 7,5,9,3, 7,9,4,3, 7,9,5,3, 9,5,6,3, 9,5,7,3,
+ 7,9,8,3, 7,9,9,3, 7,6,0,3, 7,6,1,3, 7,6,2,3, 7,6,3,3, 7,6,4,3, 7,6,5,3, 7,6,6,3,
+ 7,6,7,3, 7,6,8,3, 7,6,9,3, 7,8,6,3, 7,8,7,3, 9,6,6,3, 9,6,7,3, 9,8,8,3, 9,8,9,3,
+ 7,7,0,3, 7,7,1,3, 7,7,2,3, 7,7,3,3, 7,7,4,3, 7,7,5,3, 7,7,6,3, 7,7,7,3, 7,7,8,3,
+ 7,7,9,3, 7,9,6,3, 7,9,7,3, 9,7,6,3, 9,7,7,3, 9,9,8,3, 9,9,9,3};
+#endif
+
+#if defined(DEC_BIN2BCD8) && DEC_BIN2BCD8==1 && !defined(DECBIN2BCD8)
+#define DECBIN2BCD8
+
+const uint8_t BIN2BCD8[4000]={
+ 0,0,0,0, 0,0,1,1, 0,0,2,1, 0,0,3,1, 0,0,4,1, 0,0,5,1, 0,0,6,1, 0,0,7,1, 0,0,8,1,
+ 0,0,9,1, 0,1,0,2, 0,1,1,2, 0,1,2,2, 0,1,3,2, 0,1,4,2, 0,1,5,2, 0,1,6,2, 0,1,7,2,
+ 0,1,8,2, 0,1,9,2, 0,2,0,2, 0,2,1,2, 0,2,2,2, 0,2,3,2, 0,2,4,2, 0,2,5,2, 0,2,6,2,
+ 0,2,7,2, 0,2,8,2, 0,2,9,2, 0,3,0,2, 0,3,1,2, 0,3,2,2, 0,3,3,2, 0,3,4,2, 0,3,5,2,
+ 0,3,6,2, 0,3,7,2, 0,3,8,2, 0,3,9,2, 0,4,0,2, 0,4,1,2, 0,4,2,2, 0,4,3,2, 0,4,4,2,
+ 0,4,5,2, 0,4,6,2, 0,4,7,2, 0,4,8,2, 0,4,9,2, 0,5,0,2, 0,5,1,2, 0,5,2,2, 0,5,3,2,
+ 0,5,4,2, 0,5,5,2, 0,5,6,2, 0,5,7,2, 0,5,8,2, 0,5,9,2, 0,6,0,2, 0,6,1,2, 0,6,2,2,
+ 0,6,3,2, 0,6,4,2, 0,6,5,2, 0,6,6,2, 0,6,7,2, 0,6,8,2, 0,6,9,2, 0,7,0,2, 0,7,1,2,
+ 0,7,2,2, 0,7,3,2, 0,7,4,2, 0,7,5,2, 0,7,6,2, 0,7,7,2, 0,7,8,2, 0,7,9,2, 0,8,0,2,
+ 0,8,1,2, 0,8,2,2, 0,8,3,2, 0,8,4,2, 0,8,5,2, 0,8,6,2, 0,8,7,2, 0,8,8,2, 0,8,9,2,
+ 0,9,0,2, 0,9,1,2, 0,9,2,2, 0,9,3,2, 0,9,4,2, 0,9,5,2, 0,9,6,2, 0,9,7,2, 0,9,8,2,
+ 0,9,9,2, 1,0,0,3, 1,0,1,3, 1,0,2,3, 1,0,3,3, 1,0,4,3, 1,0,5,3, 1,0,6,3, 1,0,7,3,
+ 1,0,8,3, 1,0,9,3, 1,1,0,3, 1,1,1,3, 1,1,2,3, 1,1,3,3, 1,1,4,3, 1,1,5,3, 1,1,6,3,
+ 1,1,7,3, 1,1,8,3, 1,1,9,3, 1,2,0,3, 1,2,1,3, 1,2,2,3, 1,2,3,3, 1,2,4,3, 1,2,5,3,
+ 1,2,6,3, 1,2,7,3, 1,2,8,3, 1,2,9,3, 1,3,0,3, 1,3,1,3, 1,3,2,3, 1,3,3,3, 1,3,4,3,
+ 1,3,5,3, 1,3,6,3, 1,3,7,3, 1,3,8,3, 1,3,9,3, 1,4,0,3, 1,4,1,3, 1,4,2,3, 1,4,3,3,
+ 1,4,4,3, 1,4,5,3, 1,4,6,3, 1,4,7,3, 1,4,8,3, 1,4,9,3, 1,5,0,3, 1,5,1,3, 1,5,2,3,
+ 1,5,3,3, 1,5,4,3, 1,5,5,3, 1,5,6,3, 1,5,7,3, 1,5,8,3, 1,5,9,3, 1,6,0,3, 1,6,1,3,
+ 1,6,2,3, 1,6,3,3, 1,6,4,3, 1,6,5,3, 1,6,6,3, 1,6,7,3, 1,6,8,3, 1,6,9,3, 1,7,0,3,
+ 1,7,1,3, 1,7,2,3, 1,7,3,3, 1,7,4,3, 1,7,5,3, 1,7,6,3, 1,7,7,3, 1,7,8,3, 1,7,9,3,
+ 1,8,0,3, 1,8,1,3, 1,8,2,3, 1,8,3,3, 1,8,4,3, 1,8,5,3, 1,8,6,3, 1,8,7,3, 1,8,8,3,
+ 1,8,9,3, 1,9,0,3, 1,9,1,3, 1,9,2,3, 1,9,3,3, 1,9,4,3, 1,9,5,3, 1,9,6,3, 1,9,7,3,
+ 1,9,8,3, 1,9,9,3, 2,0,0,3, 2,0,1,3, 2,0,2,3, 2,0,3,3, 2,0,4,3, 2,0,5,3, 2,0,6,3,
+ 2,0,7,3, 2,0,8,3, 2,0,9,3, 2,1,0,3, 2,1,1,3, 2,1,2,3, 2,1,3,3, 2,1,4,3, 2,1,5,3,
+ 2,1,6,3, 2,1,7,3, 2,1,8,3, 2,1,9,3, 2,2,0,3, 2,2,1,3, 2,2,2,3, 2,2,3,3, 2,2,4,3,
+ 2,2,5,3, 2,2,6,3, 2,2,7,3, 2,2,8,3, 2,2,9,3, 2,3,0,3, 2,3,1,3, 2,3,2,3, 2,3,3,3,
+ 2,3,4,3, 2,3,5,3, 2,3,6,3, 2,3,7,3, 2,3,8,3, 2,3,9,3, 2,4,0,3, 2,4,1,3, 2,4,2,3,
+ 2,4,3,3, 2,4,4,3, 2,4,5,3, 2,4,6,3, 2,4,7,3, 2,4,8,3, 2,4,9,3, 2,5,0,3, 2,5,1,3,
+ 2,5,2,3, 2,5,3,3, 2,5,4,3, 2,5,5,3, 2,5,6,3, 2,5,7,3, 2,5,8,3, 2,5,9,3, 2,6,0,3,
+ 2,6,1,3, 2,6,2,3, 2,6,3,3, 2,6,4,3, 2,6,5,3, 2,6,6,3, 2,6,7,3, 2,6,8,3, 2,6,9,3,
+ 2,7,0,3, 2,7,1,3, 2,7,2,3, 2,7,3,3, 2,7,4,3, 2,7,5,3, 2,7,6,3, 2,7,7,3, 2,7,8,3,
+ 2,7,9,3, 2,8,0,3, 2,8,1,3, 2,8,2,3, 2,8,3,3, 2,8,4,3, 2,8,5,3, 2,8,6,3, 2,8,7,3,
+ 2,8,8,3, 2,8,9,3, 2,9,0,3, 2,9,1,3, 2,9,2,3, 2,9,3,3, 2,9,4,3, 2,9,5,3, 2,9,6,3,
+ 2,9,7,3, 2,9,8,3, 2,9,9,3, 3,0,0,3, 3,0,1,3, 3,0,2,3, 3,0,3,3, 3,0,4,3, 3,0,5,3,
+ 3,0,6,3, 3,0,7,3, 3,0,8,3, 3,0,9,3, 3,1,0,3, 3,1,1,3, 3,1,2,3, 3,1,3,3, 3,1,4,3,
+ 3,1,5,3, 3,1,6,3, 3,1,7,3, 3,1,8,3, 3,1,9,3, 3,2,0,3, 3,2,1,3, 3,2,2,3, 3,2,3,3,
+ 3,2,4,3, 3,2,5,3, 3,2,6,3, 3,2,7,3, 3,2,8,3, 3,2,9,3, 3,3,0,3, 3,3,1,3, 3,3,2,3,
+ 3,3,3,3, 3,3,4,3, 3,3,5,3, 3,3,6,3, 3,3,7,3, 3,3,8,3, 3,3,9,3, 3,4,0,3, 3,4,1,3,
+ 3,4,2,3, 3,4,3,3, 3,4,4,3, 3,4,5,3, 3,4,6,3, 3,4,7,3, 3,4,8,3, 3,4,9,3, 3,5,0,3,
+ 3,5,1,3, 3,5,2,3, 3,5,3,3, 3,5,4,3, 3,5,5,3, 3,5,6,3, 3,5,7,3, 3,5,8,3, 3,5,9,3,
+ 3,6,0,3, 3,6,1,3, 3,6,2,3, 3,6,3,3, 3,6,4,3, 3,6,5,3, 3,6,6,3, 3,6,7,3, 3,6,8,3,
+ 3,6,9,3, 3,7,0,3, 3,7,1,3, 3,7,2,3, 3,7,3,3, 3,7,4,3, 3,7,5,3, 3,7,6,3, 3,7,7,3,
+ 3,7,8,3, 3,7,9,3, 3,8,0,3, 3,8,1,3, 3,8,2,3, 3,8,3,3, 3,8,4,3, 3,8,5,3, 3,8,6,3,
+ 3,8,7,3, 3,8,8,3, 3,8,9,3, 3,9,0,3, 3,9,1,3, 3,9,2,3, 3,9,3,3, 3,9,4,3, 3,9,5,3,
+ 3,9,6,3, 3,9,7,3, 3,9,8,3, 3,9,9,3, 4,0,0,3, 4,0,1,3, 4,0,2,3, 4,0,3,3, 4,0,4,3,
+ 4,0,5,3, 4,0,6,3, 4,0,7,3, 4,0,8,3, 4,0,9,3, 4,1,0,3, 4,1,1,3, 4,1,2,3, 4,1,3,3,
+ 4,1,4,3, 4,1,5,3, 4,1,6,3, 4,1,7,3, 4,1,8,3, 4,1,9,3, 4,2,0,3, 4,2,1,3, 4,2,2,3,
+ 4,2,3,3, 4,2,4,3, 4,2,5,3, 4,2,6,3, 4,2,7,3, 4,2,8,3, 4,2,9,3, 4,3,0,3, 4,3,1,3,
+ 4,3,2,3, 4,3,3,3, 4,3,4,3, 4,3,5,3, 4,3,6,3, 4,3,7,3, 4,3,8,3, 4,3,9,3, 4,4,0,3,
+ 4,4,1,3, 4,4,2,3, 4,4,3,3, 4,4,4,3, 4,4,5,3, 4,4,6,3, 4,4,7,3, 4,4,8,3, 4,4,9,3,
+ 4,5,0,3, 4,5,1,3, 4,5,2,3, 4,5,3,3, 4,5,4,3, 4,5,5,3, 4,5,6,3, 4,5,7,3, 4,5,8,3,
+ 4,5,9,3, 4,6,0,3, 4,6,1,3, 4,6,2,3, 4,6,3,3, 4,6,4,3, 4,6,5,3, 4,6,6,3, 4,6,7,3,
+ 4,6,8,3, 4,6,9,3, 4,7,0,3, 4,7,1,3, 4,7,2,3, 4,7,3,3, 4,7,4,3, 4,7,5,3, 4,7,6,3,
+ 4,7,7,3, 4,7,8,3, 4,7,9,3, 4,8,0,3, 4,8,1,3, 4,8,2,3, 4,8,3,3, 4,8,4,3, 4,8,5,3,
+ 4,8,6,3, 4,8,7,3, 4,8,8,3, 4,8,9,3, 4,9,0,3, 4,9,1,3, 4,9,2,3, 4,9,3,3, 4,9,4,3,
+ 4,9,5,3, 4,9,6,3, 4,9,7,3, 4,9,8,3, 4,9,9,3, 5,0,0,3, 5,0,1,3, 5,0,2,3, 5,0,3,3,
+ 5,0,4,3, 5,0,5,3, 5,0,6,3, 5,0,7,3, 5,0,8,3, 5,0,9,3, 5,1,0,3, 5,1,1,3, 5,1,2,3,
+ 5,1,3,3, 5,1,4,3, 5,1,5,3, 5,1,6,3, 5,1,7,3, 5,1,8,3, 5,1,9,3, 5,2,0,3, 5,2,1,3,
+ 5,2,2,3, 5,2,3,3, 5,2,4,3, 5,2,5,3, 5,2,6,3, 5,2,7,3, 5,2,8,3, 5,2,9,3, 5,3,0,3,
+ 5,3,1,3, 5,3,2,3, 5,3,3,3, 5,3,4,3, 5,3,5,3, 5,3,6,3, 5,3,7,3, 5,3,8,3, 5,3,9,3,
+ 5,4,0,3, 5,4,1,3, 5,4,2,3, 5,4,3,3, 5,4,4,3, 5,4,5,3, 5,4,6,3, 5,4,7,3, 5,4,8,3,
+ 5,4,9,3, 5,5,0,3, 5,5,1,3, 5,5,2,3, 5,5,3,3, 5,5,4,3, 5,5,5,3, 5,5,6,3, 5,5,7,3,
+ 5,5,8,3, 5,5,9,3, 5,6,0,3, 5,6,1,3, 5,6,2,3, 5,6,3,3, 5,6,4,3, 5,6,5,3, 5,6,6,3,
+ 5,6,7,3, 5,6,8,3, 5,6,9,3, 5,7,0,3, 5,7,1,3, 5,7,2,3, 5,7,3,3, 5,7,4,3, 5,7,5,3,
+ 5,7,6,3, 5,7,7,3, 5,7,8,3, 5,7,9,3, 5,8,0,3, 5,8,1,3, 5,8,2,3, 5,8,3,3, 5,8,4,3,
+ 5,8,5,3, 5,8,6,3, 5,8,7,3, 5,8,8,3, 5,8,9,3, 5,9,0,3, 5,9,1,3, 5,9,2,3, 5,9,3,3,
+ 5,9,4,3, 5,9,5,3, 5,9,6,3, 5,9,7,3, 5,9,8,3, 5,9,9,3, 6,0,0,3, 6,0,1,3, 6,0,2,3,
+ 6,0,3,3, 6,0,4,3, 6,0,5,3, 6,0,6,3, 6,0,7,3, 6,0,8,3, 6,0,9,3, 6,1,0,3, 6,1,1,3,
+ 6,1,2,3, 6,1,3,3, 6,1,4,3, 6,1,5,3, 6,1,6,3, 6,1,7,3, 6,1,8,3, 6,1,9,3, 6,2,0,3,
+ 6,2,1,3, 6,2,2,3, 6,2,3,3, 6,2,4,3, 6,2,5,3, 6,2,6,3, 6,2,7,3, 6,2,8,3, 6,2,9,3,
+ 6,3,0,3, 6,3,1,3, 6,3,2,3, 6,3,3,3, 6,3,4,3, 6,3,5,3, 6,3,6,3, 6,3,7,3, 6,3,8,3,
+ 6,3,9,3, 6,4,0,3, 6,4,1,3, 6,4,2,3, 6,4,3,3, 6,4,4,3, 6,4,5,3, 6,4,6,3, 6,4,7,3,
+ 6,4,8,3, 6,4,9,3, 6,5,0,3, 6,5,1,3, 6,5,2,3, 6,5,3,3, 6,5,4,3, 6,5,5,3, 6,5,6,3,
+ 6,5,7,3, 6,5,8,3, 6,5,9,3, 6,6,0,3, 6,6,1,3, 6,6,2,3, 6,6,3,3, 6,6,4,3, 6,6,5,3,
+ 6,6,6,3, 6,6,7,3, 6,6,8,3, 6,6,9,3, 6,7,0,3, 6,7,1,3, 6,7,2,3, 6,7,3,3, 6,7,4,3,
+ 6,7,5,3, 6,7,6,3, 6,7,7,3, 6,7,8,3, 6,7,9,3, 6,8,0,3, 6,8,1,3, 6,8,2,3, 6,8,3,3,
+ 6,8,4,3, 6,8,5,3, 6,8,6,3, 6,8,7,3, 6,8,8,3, 6,8,9,3, 6,9,0,3, 6,9,1,3, 6,9,2,3,
+ 6,9,3,3, 6,9,4,3, 6,9,5,3, 6,9,6,3, 6,9,7,3, 6,9,8,3, 6,9,9,3, 7,0,0,3, 7,0,1,3,
+ 7,0,2,3, 7,0,3,3, 7,0,4,3, 7,0,5,3, 7,0,6,3, 7,0,7,3, 7,0,8,3, 7,0,9,3, 7,1,0,3,
+ 7,1,1,3, 7,1,2,3, 7,1,3,3, 7,1,4,3, 7,1,5,3, 7,1,6,3, 7,1,7,3, 7,1,8,3, 7,1,9,3,
+ 7,2,0,3, 7,2,1,3, 7,2,2,3, 7,2,3,3, 7,2,4,3, 7,2,5,3, 7,2,6,3, 7,2,7,3, 7,2,8,3,
+ 7,2,9,3, 7,3,0,3, 7,3,1,3, 7,3,2,3, 7,3,3,3, 7,3,4,3, 7,3,5,3, 7,3,6,3, 7,3,7,3,
+ 7,3,8,3, 7,3,9,3, 7,4,0,3, 7,4,1,3, 7,4,2,3, 7,4,3,3, 7,4,4,3, 7,4,5,3, 7,4,6,3,
+ 7,4,7,3, 7,4,8,3, 7,4,9,3, 7,5,0,3, 7,5,1,3, 7,5,2,3, 7,5,3,3, 7,5,4,3, 7,5,5,3,
+ 7,5,6,3, 7,5,7,3, 7,5,8,3, 7,5,9,3, 7,6,0,3, 7,6,1,3, 7,6,2,3, 7,6,3,3, 7,6,4,3,
+ 7,6,5,3, 7,6,6,3, 7,6,7,3, 7,6,8,3, 7,6,9,3, 7,7,0,3, 7,7,1,3, 7,7,2,3, 7,7,3,3,
+ 7,7,4,3, 7,7,5,3, 7,7,6,3, 7,7,7,3, 7,7,8,3, 7,7,9,3, 7,8,0,3, 7,8,1,3, 7,8,2,3,
+ 7,8,3,3, 7,8,4,3, 7,8,5,3, 7,8,6,3, 7,8,7,3, 7,8,8,3, 7,8,9,3, 7,9,0,3, 7,9,1,3,
+ 7,9,2,3, 7,9,3,3, 7,9,4,3, 7,9,5,3, 7,9,6,3, 7,9,7,3, 7,9,8,3, 7,9,9,3, 8,0,0,3,
+ 8,0,1,3, 8,0,2,3, 8,0,3,3, 8,0,4,3, 8,0,5,3, 8,0,6,3, 8,0,7,3, 8,0,8,3, 8,0,9,3,
+ 8,1,0,3, 8,1,1,3, 8,1,2,3, 8,1,3,3, 8,1,4,3, 8,1,5,3, 8,1,6,3, 8,1,7,3, 8,1,8,3,
+ 8,1,9,3, 8,2,0,3, 8,2,1,3, 8,2,2,3, 8,2,3,3, 8,2,4,3, 8,2,5,3, 8,2,6,3, 8,2,7,3,
+ 8,2,8,3, 8,2,9,3, 8,3,0,3, 8,3,1,3, 8,3,2,3, 8,3,3,3, 8,3,4,3, 8,3,5,3, 8,3,6,3,
+ 8,3,7,3, 8,3,8,3, 8,3,9,3, 8,4,0,3, 8,4,1,3, 8,4,2,3, 8,4,3,3, 8,4,4,3, 8,4,5,3,
+ 8,4,6,3, 8,4,7,3, 8,4,8,3, 8,4,9,3, 8,5,0,3, 8,5,1,3, 8,5,2,3, 8,5,3,3, 8,5,4,3,
+ 8,5,5,3, 8,5,6,3, 8,5,7,3, 8,5,8,3, 8,5,9,3, 8,6,0,3, 8,6,1,3, 8,6,2,3, 8,6,3,3,
+ 8,6,4,3, 8,6,5,3, 8,6,6,3, 8,6,7,3, 8,6,8,3, 8,6,9,3, 8,7,0,3, 8,7,1,3, 8,7,2,3,
+ 8,7,3,3, 8,7,4,3, 8,7,5,3, 8,7,6,3, 8,7,7,3, 8,7,8,3, 8,7,9,3, 8,8,0,3, 8,8,1,3,
+ 8,8,2,3, 8,8,3,3, 8,8,4,3, 8,8,5,3, 8,8,6,3, 8,8,7,3, 8,8,8,3, 8,8,9,3, 8,9,0,3,
+ 8,9,1,3, 8,9,2,3, 8,9,3,3, 8,9,4,3, 8,9,5,3, 8,9,6,3, 8,9,7,3, 8,9,8,3, 8,9,9,3,
+ 9,0,0,3, 9,0,1,3, 9,0,2,3, 9,0,3,3, 9,0,4,3, 9,0,5,3, 9,0,6,3, 9,0,7,3, 9,0,8,3,
+ 9,0,9,3, 9,1,0,3, 9,1,1,3, 9,1,2,3, 9,1,3,3, 9,1,4,3, 9,1,5,3, 9,1,6,3, 9,1,7,3,
+ 9,1,8,3, 9,1,9,3, 9,2,0,3, 9,2,1,3, 9,2,2,3, 9,2,3,3, 9,2,4,3, 9,2,5,3, 9,2,6,3,
+ 9,2,7,3, 9,2,8,3, 9,2,9,3, 9,3,0,3, 9,3,1,3, 9,3,2,3, 9,3,3,3, 9,3,4,3, 9,3,5,3,
+ 9,3,6,3, 9,3,7,3, 9,3,8,3, 9,3,9,3, 9,4,0,3, 9,4,1,3, 9,4,2,3, 9,4,3,3, 9,4,4,3,
+ 9,4,5,3, 9,4,6,3, 9,4,7,3, 9,4,8,3, 9,4,9,3, 9,5,0,3, 9,5,1,3, 9,5,2,3, 9,5,3,3,
+ 9,5,4,3, 9,5,5,3, 9,5,6,3, 9,5,7,3, 9,5,8,3, 9,5,9,3, 9,6,0,3, 9,6,1,3, 9,6,2,3,
+ 9,6,3,3, 9,6,4,3, 9,6,5,3, 9,6,6,3, 9,6,7,3, 9,6,8,3, 9,6,9,3, 9,7,0,3, 9,7,1,3,
+ 9,7,2,3, 9,7,3,3, 9,7,4,3, 9,7,5,3, 9,7,6,3, 9,7,7,3, 9,7,8,3, 9,7,9,3, 9,8,0,3,
+ 9,8,1,3, 9,8,2,3, 9,8,3,3, 9,8,4,3, 9,8,5,3, 9,8,6,3, 9,8,7,3, 9,8,8,3, 9,8,9,3,
+ 9,9,0,3, 9,9,1,3, 9,9,2,3, 9,9,3,3, 9,9,4,3, 9,9,5,3, 9,9,6,3, 9,9,7,3, 9,9,8,3,
+ 9,9,9,3};
+#endif
+
diff --git a/extern/decNumber/decDouble.c b/extern/decNumber/decDouble.c
new file mode 100644
index 0000000000..e63ef23fab
--- /dev/null
+++ b/extern/decNumber/decDouble.c
@@ -0,0 +1,140 @@
+/* ------------------------------------------------------------------ */
+/* decDouble.c -- decDouble operations module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises decDouble operations (including conversions) */
+/* ------------------------------------------------------------------ */
+
+#include "decContext.h" // public includes
+#include "decDouble.h" // ..
+
+/* Constant mappings for shared code */
+#define DECPMAX DECDOUBLE_Pmax
+#define DECEMIN DECDOUBLE_Emin
+#define DECEMAX DECDOUBLE_Emax
+#define DECEMAXD DECDOUBLE_EmaxD
+#define DECBYTES DECDOUBLE_Bytes
+#define DECSTRING DECDOUBLE_String
+#define DECECONL DECDOUBLE_EconL
+#define DECBIAS DECDOUBLE_Bias
+#define DECLETS DECDOUBLE_Declets
+#define DECQTINY (-DECDOUBLE_Bias)
+// parameters of next-wider format
+#define DECWBYTES DECQUAD_Bytes
+#define DECWPMAX DECQUAD_Pmax
+#define DECWECONL DECQUAD_EconL
+#define DECWBIAS DECQUAD_Bias
+
+/* Type and function mappings for shared code */
+#define decFloat decDouble // Type name
+#define decFloatWider decQuad // Type name
+
+// Utilities and conversions (binary results, extractors, etc.)
+#define decFloatFromBCD decDoubleFromBCD
+#define decFloatFromInt32 decDoubleFromInt32
+#define decFloatFromPacked decDoubleFromPacked
+#define decFloatFromPackedChecked decDoubleFromPackedChecked
+#define decFloatFromString decDoubleFromString
+#define decFloatFromUInt32 decDoubleFromUInt32
+#define decFloatFromWider decDoubleFromWider
+#define decFloatGetCoefficient decDoubleGetCoefficient
+#define decFloatGetExponent decDoubleGetExponent
+#define decFloatSetCoefficient decDoubleSetCoefficient
+#define decFloatSetExponent decDoubleSetExponent
+#define decFloatShow decDoubleShow
+#define decFloatToBCD decDoubleToBCD
+#define decFloatToEngString decDoubleToEngString
+#define decFloatToInt32 decDoubleToInt32
+#define decFloatToInt32Exact decDoubleToInt32Exact
+#define decFloatToPacked decDoubleToPacked
+#define decFloatToString decDoubleToString
+#define decFloatToUInt32 decDoubleToUInt32
+#define decFloatToUInt32Exact decDoubleToUInt32Exact
+#define decFloatToWider decDoubleToWider
+#define decFloatZero decDoubleZero
+
+// Computational (result is a decFloat)
+#define decFloatAbs decDoubleAbs
+#define decFloatAdd decDoubleAdd
+#define decFloatAnd decDoubleAnd
+#define decFloatDivide decDoubleDivide
+#define decFloatDivideInteger decDoubleDivideInteger
+#define decFloatFMA decDoubleFMA
+#define decFloatInvert decDoubleInvert
+#define decFloatLogB decDoubleLogB
+#define decFloatMax decDoubleMax
+#define decFloatMaxMag decDoubleMaxMag
+#define decFloatMin decDoubleMin
+#define decFloatMinMag decDoubleMinMag
+#define decFloatMinus decDoubleMinus
+#define decFloatMultiply decDoubleMultiply
+#define decFloatNextMinus decDoubleNextMinus
+#define decFloatNextPlus decDoubleNextPlus
+#define decFloatNextToward decDoubleNextToward
+#define decFloatOr decDoubleOr
+#define decFloatPlus decDoublePlus
+#define decFloatQuantize decDoubleQuantize
+#define decFloatReduce decDoubleReduce
+#define decFloatRemainder decDoubleRemainder
+#define decFloatRemainderNear decDoubleRemainderNear
+#define decFloatRotate decDoubleRotate
+#define decFloatScaleB decDoubleScaleB
+#define decFloatShift decDoubleShift
+#define decFloatSubtract decDoubleSubtract
+#define decFloatToIntegralValue decDoubleToIntegralValue
+#define decFloatToIntegralExact decDoubleToIntegralExact
+#define decFloatXor decDoubleXor
+
+// Comparisons
+#define decFloatCompare decDoubleCompare
+#define decFloatCompareSignal decDoubleCompareSignal
+#define decFloatCompareTotal decDoubleCompareTotal
+#define decFloatCompareTotalMag decDoubleCompareTotalMag
+
+// Copies
+#define decFloatCanonical decDoubleCanonical
+#define decFloatCopy decDoubleCopy
+#define decFloatCopyAbs decDoubleCopyAbs
+#define decFloatCopyNegate decDoubleCopyNegate
+#define decFloatCopySign decDoubleCopySign
+
+// Non-computational
+#define decFloatClass decDoubleClass
+#define decFloatClassString decDoubleClassString
+#define decFloatDigits decDoubleDigits
+#define decFloatIsCanonical decDoubleIsCanonical
+#define decFloatIsFinite decDoubleIsFinite
+#define decFloatIsInfinite decDoubleIsInfinite
+#define decFloatIsInteger decDoubleIsInteger
+#define decFloatIsLogical decDoubleIsLogical
+#define decFloatIsNaN decDoubleIsNaN
+#define decFloatIsNegative decDoubleIsNegative
+#define decFloatIsNormal decDoubleIsNormal
+#define decFloatIsPositive decDoubleIsPositive
+#define decFloatIsSignaling decDoubleIsSignaling
+#define decFloatIsSignalling decDoubleIsSignalling
+#define decFloatIsSigned decDoubleIsSigned
+#define decFloatIsSubnormal decDoubleIsSubnormal
+#define decFloatIsZero decDoubleIsZero
+#define decFloatRadix decDoubleRadix
+#define decFloatSameQuantum decDoubleSameQuantum
+#define decFloatVersion decDoubleVersion
+
+#include "decNumberLocal.h" // local includes (need DECPMAX)
+#include "decCommon.c" // non-arithmetic decFloat routines
+#include "decBasic.c" // basic formats routines
+
diff --git a/extern/decNumber/decDouble.h b/extern/decNumber/decDouble.h
new file mode 100644
index 0000000000..2e789f6361
--- /dev/null
+++ b/extern/decNumber/decDouble.h
@@ -0,0 +1,155 @@
+/* ------------------------------------------------------------------ */
+/* decDouble.h -- Decimal 64-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECDOUBLE)
+ #define DECDOUBLE
+
+ #define DECDOUBLENAME "decimalDouble" /* Short name */
+ #define DECDOUBLETITLE "Decimal 64-bit datum" /* Verbose name */
+ #define DECDOUBLEAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ /* parameters for decDoubles */
+ #define DECDOUBLE_Bytes 8 /* length */
+ #define DECDOUBLE_Pmax 16 /* maximum precision (digits) */
+ #define DECDOUBLE_Emin -383 /* minimum adjusted exponent */
+ #define DECDOUBLE_Emax 384 /* maximum adjusted exponent */
+ #define DECDOUBLE_EmaxD 3 /* maximum exponent digits */
+ #define DECDOUBLE_Bias 398 /* bias for the exponent */
+ #define DECDOUBLE_String 25 /* maximum string length, +1 */
+ #define DECDOUBLE_EconL 8 /* exponent continuation length */
+ #define DECDOUBLE_Declets 5 /* count of declets */
+ /* highest biased exponent (Elimit-1) */
+ #define DECDOUBLE_Ehigh (DECDOUBLE_Emax + DECDOUBLE_Bias - (DECDOUBLE_Pmax-1))
+
+ /* Required includes */
+ #include "decContext.h"
+ #include "decQuad.h"
+
+ /* The decDouble decimal 64-bit type, accessible by all sizes */
+ typedef union {
+ uint8_t bytes[DECDOUBLE_Bytes]; /* fields: 1, 5, 8, 50 bits */
+ uint16_t shorts[DECDOUBLE_Bytes/2];
+ uint32_t words[DECDOUBLE_Bytes/4];
+ #if DECUSE64
+ uint64_t longs[DECDOUBLE_Bytes/8];
+ #endif
+ } decDouble;
+
+ /* ---------------------------------------------------------------- */
+ /* Routines -- implemented as decFloat routines in common files */
+ /* ---------------------------------------------------------------- */
+
+ /* Utilities and conversions, extractors, etc.) */
+ extern decDouble * decDoubleFromBCD(decDouble *, int32_t, const uint8_t *, int32_t);
+ extern decDouble * decDoubleFromInt32(decDouble *, int32_t);
+ extern decDouble * decDoubleFromPacked(decDouble *, int32_t, const uint8_t *);
+ extern decDouble * decDoubleFromPackedChecked(decDouble *, int32_t, const uint8_t *);
+ extern decDouble * decDoubleFromString(decDouble *, const char *, decContext *);
+ extern decDouble * decDoubleFromUInt32(decDouble *, uint32_t);
+ extern decDouble * decDoubleFromWider(decDouble *, const decQuad *, decContext *);
+ extern int32_t decDoubleGetCoefficient(const decDouble *, uint8_t *);
+ extern int32_t decDoubleGetExponent(const decDouble *);
+ extern decDouble * decDoubleSetCoefficient(decDouble *, const uint8_t *, int32_t);
+ extern decDouble * decDoubleSetExponent(decDouble *, decContext *, int32_t);
+ extern void decDoubleShow(const decDouble *, const char *);
+ extern int32_t decDoubleToBCD(const decDouble *, int32_t *, uint8_t *);
+ extern char * decDoubleToEngString(const decDouble *, char *);
+ extern int32_t decDoubleToInt32(const decDouble *, decContext *, enum rounding);
+ extern int32_t decDoubleToInt32Exact(const decDouble *, decContext *, enum rounding);
+ extern int32_t decDoubleToPacked(const decDouble *, int32_t *, uint8_t *);
+ extern char * decDoubleToString(const decDouble *, char *);
+ extern uint32_t decDoubleToUInt32(const decDouble *, decContext *, enum rounding);
+ extern uint32_t decDoubleToUInt32Exact(const decDouble *, decContext *, enum rounding);
+ extern decQuad * decDoubleToWider(const decDouble *, decQuad *);
+ extern decDouble * decDoubleZero(decDouble *);
+
+ /* Computational (result is a decDouble) */
+ extern decDouble * decDoubleAbs(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleAdd(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleAnd(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleDivide(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleDivideInteger(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleFMA(decDouble *, const decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleInvert(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleLogB(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMax(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMaxMag(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMin(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMinMag(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMinus(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleMultiply(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleNextMinus(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleNextPlus(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleNextToward(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleOr(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoublePlus(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleQuantize(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleReduce(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleRemainder(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleRemainderNear(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleRotate(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleScaleB(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleShift(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleSubtract(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleToIntegralValue(decDouble *, const decDouble *, decContext *, enum rounding);
+ extern decDouble * decDoubleToIntegralExact(decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleXor(decDouble *, const decDouble *, const decDouble *, decContext *);
+
+ /* Comparisons */
+ extern decDouble * decDoubleCompare(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleCompareSignal(decDouble *, const decDouble *, const decDouble *, decContext *);
+ extern decDouble * decDoubleCompareTotal(decDouble *, const decDouble *, const decDouble *);
+ extern decDouble * decDoubleCompareTotalMag(decDouble *, const decDouble *, const decDouble *);
+
+ /* Copies */
+ extern decDouble * decDoubleCanonical(decDouble *, const decDouble *);
+ extern decDouble * decDoubleCopy(decDouble *, const decDouble *);
+ extern decDouble * decDoubleCopyAbs(decDouble *, const decDouble *);
+ extern decDouble * decDoubleCopyNegate(decDouble *, const decDouble *);
+ extern decDouble * decDoubleCopySign(decDouble *, const decDouble *, const decDouble *);
+
+ /* Non-computational */
+ extern enum decClass decDoubleClass(const decDouble *);
+ extern const char * decDoubleClassString(const decDouble *);
+ extern uint32_t decDoubleDigits(const decDouble *);
+ extern uint32_t decDoubleIsCanonical(const decDouble *);
+ extern uint32_t decDoubleIsFinite(const decDouble *);
+ extern uint32_t decDoubleIsInfinite(const decDouble *);
+ extern uint32_t decDoubleIsInteger(const decDouble *);
+ extern uint32_t decDoubleIsLogical(const decDouble *);
+ extern uint32_t decDoubleIsNaN(const decDouble *);
+ extern uint32_t decDoubleIsNegative(const decDouble *);
+ extern uint32_t decDoubleIsNormal(const decDouble *);
+ extern uint32_t decDoubleIsPositive(const decDouble *);
+ extern uint32_t decDoubleIsSignaling(const decDouble *);
+ extern uint32_t decDoubleIsSignalling(const decDouble *);
+ extern uint32_t decDoubleIsSigned(const decDouble *);
+ extern uint32_t decDoubleIsSubnormal(const decDouble *);
+ extern uint32_t decDoubleIsZero(const decDouble *);
+ extern uint32_t decDoubleRadix(const decDouble *);
+ extern uint32_t decDoubleSameQuantum(const decDouble *, const decDouble *);
+ extern const char * decDoubleVersion(void);
+
+ /* decNumber conversions; these are implemented as macros so as not */
+ /* to force a dependency on decimal64 and decNumber in decDouble. */
+ /* decDoubleFromNumber returns a decimal64 * to avoid warnings. */
+ #define decDoubleToNumber(dq, dn) decimal64ToNumber((decimal64 *)(dq), dn)
+ #define decDoubleFromNumber(dq, dn, set) decimal64FromNumber((decimal64 *)(dq), dn, set)
+
+#endif
diff --git a/extern/decNumber/decNumber.c b/extern/decNumber/decNumber.c
new file mode 100644
index 0000000000..2572fac5b1
--- /dev/null
+++ b/extern/decNumber/decNumber.c
@@ -0,0 +1,8141 @@
+/* ------------------------------------------------------------------ */
+/* Decimal Number arithmetic module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2009. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for arbitrary-precision General */
+/* Decimal Arithmetic as defined in the specification which may be */
+/* found on the General Decimal Arithmetic pages. It implements both */
+/* the full ('extended') arithmetic and the simpler ('subset') */
+/* arithmetic. */
+/* */
+/* Usage notes: */
+/* */
+/* 1. This code is ANSI C89 except: */
+/* */
+/* a) C99 line comments (double forward slash) are used. (Most C */
+/* compilers accept these. If yours does not, a simple script */
+/* can be used to convert them to ANSI C comments.) */
+/* */
+/* b) Types from C99 stdint.h are used. If you do not have this */
+/* header file, see the User's Guide section of the decNumber */
+/* documentation; this lists the necessary definitions. */
+/* */
+/* c) If DECDPUN>4 or DECUSE64=1, the C99 64-bit int64_t and */
+/* uint64_t types may be used. To avoid these, set DECUSE64=0 */
+/* and DECDPUN<=4 (see documentation). */
+/* */
+/* The code also conforms to C99 restrictions; in particular, */
+/* strict aliasing rules are observed. */
+/* */
+/* 2. The decNumber format which this library uses is optimized for */
+/* efficient processing of relatively short numbers; in particular */
+/* it allows the use of fixed sized structures and minimizes copy */
+/* and move operations. It does, however, support arbitrary */
+/* precision (up to 999,999,999 digits) and arbitrary exponent */
+/* range (Emax in the range 0 through 999,999,999 and Emin in the */
+/* range -999,999,999 through 0). Mathematical functions (for */
+/* example decNumberExp) as identified below are restricted more */
+/* tightly: digits, emax, and -emin in the context must be <= */
+/* DEC_MAX_MATH (999999), and their operand(s) must be within */
+/* these bounds. */
+/* */
+/* 3. Logical functions are further restricted; their operands must */
+/* be finite, positive, have an exponent of zero, and all digits */
+/* must be either 0 or 1. The result will only contain digits */
+/* which are 0 or 1 (and will have exponent=0 and a sign of 0). */
+/* */
+/* 4. Operands to operator functions are never modified unless they */
+/* are also specified to be the result number (which is always */
+/* permitted). Other than that case, operands must not overlap. */
+/* */
+/* 5. Error handling: the type of the error is ORed into the status */
+/* flags in the current context (decContext structure). The */
+/* SIGFPE signal is then raised if the corresponding trap-enabler */
+/* flag in the decContext is set (is 1). */
+/* */
+/* It is the responsibility of the caller to clear the status */
+/* flags as required. */
+/* */
+/* The result of any routine which returns a number will always */
+/* be a valid number (which may be a special value, such as an */
+/* Infinity or NaN). */
+/* */
+/* 6. The decNumber format is not an exchangeable concrete */
+/* representation as it comprises fields which may be machine- */
+/* dependent (packed or unpacked, or special length, for example). */
+/* Canonical conversions to and from strings are provided; other */
+/* conversions are available in separate modules. */
+/* */
+/* 7. Normally, input operands are assumed to be valid. Set DECCHECK */
+/* to 1 for extended operand checking (including NULL operands). */
+/* Results are undefined if a badly-formed structure (or a NULL */
+/* pointer to a structure) is provided, though with DECCHECK */
+/* enabled the operator routines are protected against exceptions. */
+/* (Except if the result pointer is NULL, which is unrecoverable.) */
+/* */
+/* However, the routines will never cause exceptions if they are */
+/* given well-formed operands, even if the value of the operands */
+/* is inappropriate for the operation and DECCHECK is not set. */
+/* (Except for SIGFPE, as and where documented.) */
+/* */
+/* 8. Subset arithmetic is available only if DECSUBSET is set to 1. */
+/* ------------------------------------------------------------------ */
+/* Implementation notes for maintenance of this module: */
+/* */
+/* 1. Storage leak protection: Routines which use malloc are not */
+/* permitted to use return for fastpath or error exits (i.e., */
+/* they follow strict structured programming conventions). */
+/* Instead they have a do{}while(0); construct surrounding the */
+/* code which is protected -- break may be used to exit this. */
+/* Other routines can safely use the return statement inline. */
+/* */
+/* Storage leak accounting can be enabled using DECALLOC. */
+/* */
+/* 2. All loops use the for(;;) construct. Any do construct does */
+/* not loop; it is for allocation protection as just described. */
+/* */
+/* 3. Setting status in the context must always be the very last */
+/* action in a routine, as non-0 status may raise a trap and hence */
+/* the call to set status may not return (if the handler uses long */
+/* jump). Therefore all cleanup must be done first. In general, */
+/* to achieve this status is accumulated and is only applied just */
+/* before return by calling decContextSetStatus (via decStatus). */
+/* */
+/* Routines which allocate storage cannot, in general, use the */
+/* 'top level' routines which could cause a non-returning */
+/* transfer of control. The decXxxxOp routines are safe (do not */
+/* call decStatus even if traps are set in the context) and should */
+/* be used instead (they are also a little faster). */
+/* */
+/* 4. Exponent checking is minimized by allowing the exponent to */
+/* grow outside its limits during calculations, provided that */
+/* the decFinalize function is called later. Multiplication and */
+/* division, and intermediate calculations in exponentiation, */
+/* require more careful checks because of the risk of 31-bit */
+/* overflow (the most negative valid exponent is -1999999997, for */
+/* a 999999999-digit number with adjusted exponent of -999999999). */
+/* */
+/* 5. Rounding is deferred until finalization of results, with any */
+/* 'off to the right' data being represented as a single digit */
+/* residue (in the range -1 through 9). This avoids any double- */
+/* rounding when more than one shortening takes place (for */
+/* example, when a result is subnormal). */
+/* */
+/* 6. The digits count is allowed to rise to a multiple of DECDPUN */
+/* during many operations, so whole Units are handled and exact */
+/* accounting of digits is not needed. The correct digits value */
+/* is found by decGetDigits, which accounts for leading zeros. */
+/* This must be called before any rounding if the number of digits */
+/* is not known exactly. */
+/* */
+/* 7. The multiply-by-reciprocal 'trick' is used for partitioning */
+/* numbers up to four digits, using appropriate constants. This */
+/* is not useful for longer numbers because overflow of 32 bits */
+/* would lead to 4 multiplies, which is almost as expensive as */
+/* a divide (unless a floating-point or 64-bit multiply is */
+/* assumed to be available). */
+/* */
+/* 8. Unusual abbreviations that may be used in the commentary: */
+/* lhs -- left hand side (operand, of an operation) */
+/* lsd -- least significant digit (of coefficient) */
+/* lsu -- least significant Unit (of coefficient) */
+/* msd -- most significant digit (of coefficient) */
+/* msi -- most significant item (in an array) */
+/* msu -- most significant Unit (of coefficient) */
+/* rhs -- right hand side (operand, of an operation) */
+/* +ve -- positive */
+/* -ve -- negative */
+/* ** -- raise to the power */
+/* ------------------------------------------------------------------ */
+
+#include // for malloc, free, etc.
+#include // for printf [if needed]
+#include // for strcpy
+#include // for lower
+#include "decNumber.h" // base number library
+#include "decNumberLocal.h" // decNumber local types, etc.
+
+/* Constants */
+// Public lookup table used by the D2U macro
+const uByte d2utable[DECMAXD2U+1]=D2UTABLE;
+
+#define DECVERB 1 // set to 1 for verbose DECCHECK
+#define powers DECPOWERS // old internal name
+
+// Local constants
+#define DIVIDE 0x80 // Divide operators
+#define REMAINDER 0x40 // ..
+#define DIVIDEINT 0x20 // ..
+#define REMNEAR 0x10 // ..
+#define COMPARE 0x01 // Compare operators
+#define COMPMAX 0x02 // ..
+#define COMPMIN 0x03 // ..
+#define COMPTOTAL 0x04 // ..
+#define COMPNAN 0x05 // .. [NaN processing]
+#define COMPSIG 0x06 // .. [signaling COMPARE]
+#define COMPMAXMAG 0x07 // ..
+#define COMPMINMAG 0x08 // ..
+
+#define DEC_sNaN 0x40000000 // local status: sNaN signal
+#define BADINT (Int)0x80000000 // most-negative Int; error indicator
+// Next two indicate an integer >= 10**6, and its parity (bottom bit)
+#define BIGEVEN (Int)0x80000002
+#define BIGODD (Int)0x80000003
+
+static Unit uarrone[1]={1}; // Unit array of 1, used for incrementing
+
+/* Granularity-dependent code */
+#if DECDPUN<=4
+ #define eInt Int // extended integer
+ #define ueInt uInt // unsigned extended integer
+ // Constant multipliers for divide-by-power-of five using reciprocal
+ // multiply, after removing powers of 2 by shifting, and final shift
+ // of 17 [we only need up to **4]
+ static const uInt multies[]={131073, 26215, 5243, 1049, 210};
+ // QUOT10 -- macro to return the quotient of unit u divided by 10**n
+ #define QUOT10(u, n) ((((uInt)(u)>>(n))*multies[n])>>17)
+#else
+ // For DECDPUN>4 non-ANSI-89 64-bit types are needed.
+ #if !DECUSE64
+ #error decNumber.c: DECUSE64 must be 1 when DECDPUN>4
+ #endif
+ #define eInt Long // extended integer
+ #define ueInt uLong // unsigned extended integer
+#endif
+
+/* Local routines */
+static decNumber * decAddOp(decNumber *, const decNumber *, const decNumber *,
+ decContext *, uByte, uInt *);
+static Flag decBiStr(const char *, const char *, const char *);
+static uInt decCheckMath(const decNumber *, decContext *, uInt *);
+static void decApplyRound(decNumber *, decContext *, Int, uInt *);
+static Int decCompare(const decNumber *lhs, const decNumber *rhs, Flag);
+static decNumber * decCompareOp(decNumber *, const decNumber *,
+ const decNumber *, decContext *,
+ Flag, uInt *);
+static void decCopyFit(decNumber *, const decNumber *, decContext *,
+ Int *, uInt *);
+static decNumber * decDecap(decNumber *, Int);
+static decNumber * decDivideOp(decNumber *, const decNumber *,
+ const decNumber *, decContext *, Flag, uInt *);
+static decNumber * decExpOp(decNumber *, const decNumber *,
+ decContext *, uInt *);
+static void decFinalize(decNumber *, decContext *, Int *, uInt *);
+static Int decGetDigits(Unit *, Int);
+static Int decGetInt(const decNumber *);
+static decNumber * decLnOp(decNumber *, const decNumber *,
+ decContext *, uInt *);
+static decNumber * decMultiplyOp(decNumber *, const decNumber *,
+ const decNumber *, decContext *,
+ uInt *);
+static decNumber * decNaNs(decNumber *, const decNumber *,
+ const decNumber *, decContext *, uInt *);
+static decNumber * decQuantizeOp(decNumber *, const decNumber *,
+ const decNumber *, decContext *, Flag,
+ uInt *);
+static void decReverse(Unit *, Unit *);
+static void decSetCoeff(decNumber *, decContext *, const Unit *,
+ Int, Int *, uInt *);
+static void decSetMaxValue(decNumber *, decContext *);
+static void decSetOverflow(decNumber *, decContext *, uInt *);
+static void decSetSubnormal(decNumber *, decContext *, Int *, uInt *);
+static Int decShiftToLeast(Unit *, Int, Int);
+static Int decShiftToMost(Unit *, Int, Int);
+static void decStatus(decNumber *, uInt, decContext *);
+static void decToString(const decNumber *, char[], Flag);
+static decNumber * decTrim(decNumber *, decContext *, Flag, Flag, Int *);
+static Int decUnitAddSub(const Unit *, Int, const Unit *, Int, Int,
+ Unit *, Int);
+static Int decUnitCompare(const Unit *, Int, const Unit *, Int, Int);
+
+#if !DECSUBSET
+/* decFinish == decFinalize when no subset arithmetic needed */
+#define decFinish(a,b,c,d) decFinalize(a,b,c,d)
+#else
+static void decFinish(decNumber *, decContext *, Int *, uInt *);
+static decNumber * decRoundOperand(const decNumber *, decContext *, uInt *);
+#endif
+
+/* Local macros */
+// masked special-values bits
+#define SPECIALARG (rhs->bits & DECSPECIAL)
+#define SPECIALARGS ((lhs->bits | rhs->bits) & DECSPECIAL)
+
+/* Diagnostic macros, etc. */
+#if DECALLOC
+// Handle malloc/free accounting. If enabled, our accountable routines
+// are used; otherwise the code just goes straight to the system malloc
+// and free routines.
+#define malloc(a) decMalloc(a)
+#define free(a) decFree(a)
+#define DECFENCE 0x5a // corruption detector
+// 'Our' malloc and free:
+static void *decMalloc(size_t);
+static void decFree(void *);
+uInt decAllocBytes=0; // count of bytes allocated
+// Note that DECALLOC code only checks for storage buffer overflow.
+// To check for memory leaks, the decAllocBytes variable must be
+// checked to be 0 at appropriate times (e.g., after the test
+// harness completes a set of tests). This checking may be unreliable
+// if the testing is done in a multi-thread environment.
+#endif
+
+#if DECCHECK
+// Optional checking routines. Enabling these means that decNumber
+// and decContext operands to operator routines are checked for
+// correctness. This roughly doubles the execution time of the
+// fastest routines (and adds 600+ bytes), so should not normally be
+// used in 'production'.
+// decCheckInexact is used to check that inexact results have a full
+// complement of digits (where appropriate -- this is not the case
+// for Quantize, for example)
+#define DECUNRESU ((decNumber *)(void *)0xffffffff)
+#define DECUNUSED ((const decNumber *)(void *)0xffffffff)
+#define DECUNCONT ((decContext *)(void *)(0xffffffff))
+static Flag decCheckOperands(decNumber *, const decNumber *,
+ const decNumber *, decContext *);
+static Flag decCheckNumber(const decNumber *);
+static void decCheckInexact(const decNumber *, decContext *);
+#endif
+
+#if DECTRACE || DECCHECK
+// Optional trace/debugging routines (may or may not be used)
+void decNumberShow(const decNumber *); // displays the components of a number
+static void decDumpAr(char, const Unit *, Int);
+#endif
+
+/* ================================================================== */
+/* Conversions */
+/* ================================================================== */
+
+/* ------------------------------------------------------------------ */
+/* from-int32 -- conversion from Int or uInt */
+/* */
+/* dn is the decNumber to receive the integer */
+/* in or uin is the integer to be converted */
+/* returns dn */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberFromInt32(decNumber *dn, Int in) {
+ uInt unsig;
+ if (in>=0) unsig=in;
+ else { // negative (possibly BADINT)
+ if (in==BADINT) unsig=(uInt)1073741824*2; // special case
+ else unsig=-in; // invert
+ }
+ // in is now positive
+ decNumberFromUInt32(dn, unsig);
+ if (in<0) dn->bits=DECNEG; // sign needed
+ return dn;
+ } // decNumberFromInt32
+
+decNumber * decNumberFromUInt32(decNumber *dn, uInt uin) {
+ Unit *up; // work pointer
+ decNumberZero(dn); // clean
+ if (uin==0) return dn; // [or decGetDigits bad call]
+ for (up=dn->lsu; uin>0; up++) {
+ *up=(Unit)(uin%(DECDPUNMAX+1));
+ uin=uin/(DECDPUNMAX+1);
+ }
+ dn->digits=decGetDigits(dn->lsu, up-dn->lsu);
+ return dn;
+ } // decNumberFromUInt32
+
+/* ------------------------------------------------------------------ */
+/* to-int32 -- conversion to Int or uInt */
+/* */
+/* dn is the decNumber to convert */
+/* set is the context for reporting errors */
+/* returns the converted decNumber, or 0 if Invalid is set */
+/* */
+/* Invalid is set if the decNumber does not have exponent==0 or if */
+/* it is a NaN, Infinite, or out-of-range. */
+/* ------------------------------------------------------------------ */
+Int decNumberToInt32(const decNumber *dn, decContext *set) {
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, set)) return 0;
+ #endif
+
+ // special or too many digits, or bad exponent
+ if (dn->bits&DECSPECIAL || dn->digits>10 || dn->exponent!=0) ; // bad
+ else { // is a finite integer with 10 or fewer digits
+ Int d; // work
+ const Unit *up; // ..
+ uInt hi=0, lo; // ..
+ up=dn->lsu; // -> lsu
+ lo=*up; // get 1 to 9 digits
+ #if DECDPUN>1 // split to higher
+ hi=lo/10;
+ lo=lo%10;
+ #endif
+ up++;
+ // collect remaining Units, if any, into hi
+ for (d=DECDPUN; ddigits; up++, d+=DECDPUN) hi+=*up*powers[d-1];
+ // now low has the lsd, hi the remainder
+ if (hi>214748364 || (hi==214748364 && lo>7)) { // out of range?
+ // most-negative is a reprieve
+ if (dn->bits&DECNEG && hi==214748364 && lo==8) return 0x80000000;
+ // bad -- drop through
+ }
+ else { // in-range always
+ Int i=X10(hi)+lo;
+ if (dn->bits&DECNEG) return -i;
+ return i;
+ }
+ } // integer
+ decContextSetStatus(set, DEC_Invalid_operation); // [may not return]
+ return 0;
+ } // decNumberToInt32
+
+uInt decNumberToUInt32(const decNumber *dn, decContext *set) {
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, set)) return 0;
+ #endif
+ // special or too many digits, or bad exponent, or negative (<0)
+ if (dn->bits&DECSPECIAL || dn->digits>10 || dn->exponent!=0
+ || (dn->bits&DECNEG && !ISZERO(dn))); // bad
+ else { // is a finite integer with 10 or fewer digits
+ Int d; // work
+ const Unit *up; // ..
+ uInt hi=0, lo; // ..
+ up=dn->lsu; // -> lsu
+ lo=*up; // get 1 to 9 digits
+ #if DECDPUN>1 // split to higher
+ hi=lo/10;
+ lo=lo%10;
+ #endif
+ up++;
+ // collect remaining Units, if any, into hi
+ for (d=DECDPUN; ddigits; up++, d+=DECDPUN) hi+=*up*powers[d-1];
+
+ // now low has the lsd, hi the remainder
+ if (hi>429496729 || (hi==429496729 && lo>5)) ; // no reprieve possible
+ else return X10(hi)+lo;
+ } // integer
+ decContextSetStatus(set, DEC_Invalid_operation); // [may not return]
+ return 0;
+ } // decNumberToUInt32
+
+/* ------------------------------------------------------------------ */
+/* to-scientific-string -- conversion to numeric string */
+/* to-engineering-string -- conversion to numeric string */
+/* */
+/* decNumberToString(dn, string); */
+/* decNumberToEngString(dn, string); */
+/* */
+/* dn is the decNumber to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least dn->digits+14 characters long */
+/* */
+/* No error is possible, and no status can be set. */
+/* ------------------------------------------------------------------ */
+char * decNumberToString(const decNumber *dn, char *string){
+ decToString(dn, string, 0);
+ return string;
+ } // DecNumberToString
+
+char * decNumberToEngString(const decNumber *dn, char *string){
+ decToString(dn, string, 1);
+ return string;
+ } // DecNumberToEngString
+
+/* ------------------------------------------------------------------ */
+/* to-number -- conversion from numeric string */
+/* */
+/* decNumberFromString -- convert string to decNumber */
+/* dn -- the number structure to fill */
+/* chars[] -- the string to convert ('\0' terminated) */
+/* set -- the context used for processing any error, */
+/* determining the maximum precision available */
+/* (set.digits), determining the maximum and minimum */
+/* exponent (set.emax and set.emin), determining if */
+/* extended values are allowed, and checking the */
+/* rounding mode if overflow occurs or rounding is */
+/* needed. */
+/* */
+/* The length of the coefficient and the size of the exponent are */
+/* checked by this routine, so the correct error (Underflow or */
+/* Overflow) can be reported or rounding applied, as necessary. */
+/* */
+/* If bad syntax is detected, the result will be a quiet NaN. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberFromString(decNumber *dn, const char chars[],
+ decContext *set) {
+ Int exponent=0; // working exponent [assume 0]
+ uByte bits=0; // working flags [assume +ve]
+ Unit *res; // where result will be built
+ Unit resbuff[SD2U(DECBUFFER+9)];// local buffer in case need temporary
+ // [+9 allows for ln() constants]
+ Unit *allocres=NULL; // -> allocated result, iff allocated
+ Int d=0; // count of digits found in decimal part
+ const char *dotchar=NULL; // where dot was found
+ const char *cfirst=chars; // -> first character of decimal part
+ const char *last=NULL; // -> last digit of decimal part
+ const char *c; // work
+ Unit *up; // ..
+ #if DECDPUN>1
+ Int cut, out; // ..
+ #endif
+ Int residue; // rounding residue
+ uInt status=0; // error code
+
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, DECUNUSED, set))
+ return decNumberZero(dn);
+ #endif
+
+ do { // status & malloc protection
+ for (c=chars;; c++) { // -> input character
+ if (*c>='0' && *c<='9') { // test for Arabic digit
+ last=c;
+ d++; // count of real digits
+ continue; // still in decimal part
+ }
+ if (*c=='.' && dotchar==NULL) { // first '.'
+ dotchar=c; // record offset into decimal part
+ if (c==cfirst) cfirst++; // first digit must follow
+ continue;}
+ if (c==chars) { // first in string...
+ if (*c=='-') { // valid - sign
+ cfirst++;
+ bits=DECNEG;
+ continue;}
+ if (*c=='+') { // valid + sign
+ cfirst++;
+ continue;}
+ }
+ // *c is not a digit, or a valid +, -, or '.'
+ break;
+ } // c
+
+ if (last==NULL) { // no digits yet
+ status=DEC_Conversion_syntax;// assume the worst
+ if (*c=='\0') break; // and no more to come...
+ #if DECSUBSET
+ // if subset then infinities and NaNs are not allowed
+ if (!set->extended) break; // hopeless
+ #endif
+ // Infinities and NaNs are possible, here
+ if (dotchar!=NULL) break; // .. unless had a dot
+ decNumberZero(dn); // be optimistic
+ if (decBiStr(c, "infinity", "INFINITY")
+ || decBiStr(c, "inf", "INF")) {
+ dn->bits=bits | DECINF;
+ status=0; // is OK
+ break; // all done
+ }
+ // a NaN expected
+ // 2003.09.10 NaNs are now permitted to have a sign
+ dn->bits=bits | DECNAN; // assume simple NaN
+ if (*c=='s' || *c=='S') { // looks like an sNaN
+ c++;
+ dn->bits=bits | DECSNAN;
+ }
+ if (*c!='n' && *c!='N') break; // check caseless "NaN"
+ c++;
+ if (*c!='a' && *c!='A') break; // ..
+ c++;
+ if (*c!='n' && *c!='N') break; // ..
+ c++;
+ // now either nothing, or nnnn payload, expected
+ // -> start of integer and skip leading 0s [including plain 0]
+ for (cfirst=c; *cfirst=='0';) cfirst++;
+ if (*cfirst=='\0') { // "NaN" or "sNaN", maybe with all 0s
+ status=0; // it's good
+ break; // ..
+ }
+ // something other than 0s; setup last and d as usual [no dots]
+ for (c=cfirst;; c++, d++) {
+ if (*c<'0' || *c>'9') break; // test for Arabic digit
+ last=c;
+ }
+ if (*c!='\0') break; // not all digits
+ if (d>set->digits-1) {
+ // [NB: payload in a decNumber can be full length unless
+ // clamped, in which case can only be digits-1]
+ if (set->clamp) break;
+ if (d>set->digits) break;
+ } // too many digits?
+ // good; drop through to convert the integer to coefficient
+ status=0; // syntax is OK
+ bits=dn->bits; // for copy-back
+ } // last==NULL
+
+ else if (*c!='\0') { // more to process...
+ // had some digits; exponent is only valid sequence now
+ Flag nege; // 1=negative exponent
+ const char *firstexp; // -> first significant exponent digit
+ status=DEC_Conversion_syntax;// assume the worst
+ if (*c!='e' && *c!='E') break;
+ /* Found 'e' or 'E' -- now process explicit exponent */
+ // 1998.07.11: sign no longer required
+ nege=0;
+ c++; // to (possible) sign
+ if (*c=='-') {nege=1; c++;}
+ else if (*c=='+') c++;
+ if (*c=='\0') break;
+
+ for (; *c=='0' && *(c+1)!='\0';) c++; // strip insignificant zeros
+ firstexp=c; // save exponent digit place
+ for (; ;c++) {
+ if (*c<'0' || *c>'9') break; // not a digit
+ exponent=X10(exponent)+(Int)*c-(Int)'0';
+ } // c
+ // if not now on a '\0', *c must not be a digit
+ if (*c!='\0') break;
+
+ // (this next test must be after the syntax checks)
+ // if it was too long the exponent may have wrapped, so check
+ // carefully and set it to a certain overflow if wrap possible
+ if (c>=firstexp+9+1) {
+ if (c>firstexp+9+1 || *firstexp>'1') exponent=DECNUMMAXE*2;
+ // [up to 1999999999 is OK, for example 1E-1000000998]
+ }
+ if (nege) exponent=-exponent; // was negative
+ status=0; // is OK
+ } // stuff after digits
+
+ // Here when whole string has been inspected; syntax is good
+ // cfirst->first digit (never dot), last->last digit (ditto)
+
+ // strip leading zeros/dot [leave final 0 if all 0's]
+ if (*cfirst=='0') { // [cfirst has stepped over .]
+ for (c=cfirst; cextended) {
+ decNumberZero(dn); // clean result
+ break; // [could be return]
+ }
+ #endif
+ } // at least one leading 0
+
+ // Handle decimal point...
+ if (dotchar!=NULL && dotchardigits) res=dn->lsu; // fits into supplied decNumber
+ else { // rounding needed
+ Int needbytes=D2U(d)*sizeof(Unit);// bytes needed
+ res=resbuff; // assume use local buffer
+ if (needbytes>(Int)sizeof(resbuff)) { // too big for local
+ allocres=(Unit *)malloc(needbytes);
+ if (allocres==NULL) {status|=DEC_Insufficient_storage; break;}
+ res=allocres;
+ }
+ }
+ // res now -> number lsu, buffer, or allocated storage for Unit array
+
+ // Place the coefficient into the selected Unit array
+ // [this is often 70% of the cost of this function when DECDPUN>1]
+ #if DECDPUN>1
+ out=0; // accumulator
+ up=res+D2U(d)-1; // -> msu
+ cut=d-(up-res)*DECDPUN; // digits in top unit
+ for (c=cfirst;; c++) { // along the digits
+ if (*c=='.') continue; // ignore '.' [don't decrement cut]
+ out=X10(out)+(Int)*c-(Int)'0';
+ if (c==last) break; // done [never get to trailing '.']
+ cut--;
+ if (cut>0) continue; // more for this unit
+ *up=(Unit)out; // write unit
+ up--; // prepare for unit below..
+ cut=DECDPUN; // ..
+ out=0; // ..
+ } // c
+ *up=(Unit)out; // write lsu
+
+ #else
+ // DECDPUN==1
+ up=res; // -> lsu
+ for (c=last; c>=cfirst; c--) { // over each character, from least
+ if (*c=='.') continue; // ignore . [don't step up]
+ *up=(Unit)((Int)*c-(Int)'0');
+ up++;
+ } // c
+ #endif
+
+ dn->bits=bits;
+ dn->exponent=exponent;
+ dn->digits=d;
+
+ // if not in number (too long) shorten into the number
+ if (d>set->digits) {
+ residue=0;
+ decSetCoeff(dn, set, res, d, &residue, &status);
+ // always check for overflow or subnormal and round as needed
+ decFinalize(dn, set, &residue, &status);
+ }
+ else { // no rounding, but may still have overflow or subnormal
+ // [these tests are just for performance; finalize repeats them]
+ if ((dn->exponent-1emin-dn->digits)
+ || (dn->exponent-1>set->emax-set->digits)) {
+ residue=0;
+ decFinalize(dn, set, &residue, &status);
+ }
+ }
+ // decNumberShow(dn);
+ } while(0); // [for break]
+
+ if (allocres!=NULL) free(allocres); // drop any storage used
+ if (status!=0) decStatus(dn, status, set);
+ return dn;
+ } /* decNumberFromString */
+
+/* ================================================================== */
+/* Operators */
+/* ================================================================== */
+
+/* ------------------------------------------------------------------ */
+/* decNumberAbs -- absolute value operator */
+/* */
+/* This computes C = abs(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* See also decNumberCopyAbs for a quiet bitwise version of this. */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+/* This has the same effect as decNumberPlus unless A is negative, */
+/* in which case it has the same effect as decNumberMinus. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberAbs(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dzero; // for 0
+ uInt status=0; // accumulator
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ decNumberZero(&dzero); // set 0
+ dzero.exponent=rhs->exponent; // [no coefficient expansion]
+ decAddOp(res, &dzero, rhs, set, (uByte)(rhs->bits & DECNEG), &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberAbs
+
+/* ------------------------------------------------------------------ */
+/* decNumberAdd -- add two Numbers */
+/* */
+/* This computes C = A + B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X+X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+/* This just calls the routine shared with Subtract */
+decNumber * decNumberAdd(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decAddOp(res, lhs, rhs, set, 0, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberAdd
+
+/* ------------------------------------------------------------------ */
+/* decNumberAnd -- AND two Numbers, digitwise */
+/* */
+/* This computes C = A & B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X&X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context (used for result length and error report) */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Logical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberAnd(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ const Unit *ua, *ub; // -> operands
+ const Unit *msua, *msub; // -> operand msus
+ Unit *uc, *msuc; // -> result and its msu
+ Int msudigs; // digits in res msu
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ if (lhs->exponent!=0 || decNumberIsSpecial(lhs) || decNumberIsNegative(lhs)
+ || rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+
+ // operands are valid
+ ua=lhs->lsu; // bottom-up
+ ub=rhs->lsu; // ..
+ uc=res->lsu; // ..
+ msua=ua+D2U(lhs->digits)-1; // -> msu of lhs
+ msub=ub+D2U(rhs->digits)-1; // -> msu of rhs
+ msuc=uc+D2U(set->digits)-1; // -> msu of result
+ msudigs=MSUDIGITS(set->digits); // [faster than remainder]
+ for (; uc<=msuc; ua++, ub++, uc++) { // Unit loop
+ Unit a, b; // extract units
+ if (ua>msua) a=0;
+ else a=*ua;
+ if (ub>msub) b=0;
+ else b=*ub;
+ *uc=0; // can now write back
+ if (a|b) { // maybe 1 bits to examine
+ Int i, j;
+ *uc=0; // can now write back
+ // This loop could be unrolled and/or use BIN2BCD tables
+ for (i=0; i1) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ if (uc==msuc && i==msudigs-1) break; // just did final digit
+ } // each digit
+ } // both OK
+ } // each unit
+ // [here uc-1 is the msu of the result]
+ res->digits=decGetDigits(res->lsu, uc-res->lsu);
+ res->exponent=0; // integer
+ res->bits=0; // sign=0
+ return res; // [no status to set]
+ } // decNumberAnd
+
+/* ------------------------------------------------------------------ */
+/* decNumberCompare -- compare two Numbers */
+/* */
+/* This computes C = A ? B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for one digit (or NaN). */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCompare(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPARE, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberCompare
+
+/* ------------------------------------------------------------------ */
+/* decNumberCompareSignal -- compare, signalling on all NaNs */
+/* */
+/* This computes C = A ? B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for one digit (or NaN). */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCompareSignal(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPSIG, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberCompareSignal
+
+/* ------------------------------------------------------------------ */
+/* decNumberCompareTotal -- compare two Numbers, using total ordering */
+/* */
+/* This computes C = A ? B, under total ordering */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for one digit; the result will always be one of */
+/* -1, 0, or 1. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCompareTotal(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPTOTAL, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberCompareTotal
+
+/* ------------------------------------------------------------------ */
+/* decNumberCompareTotalMag -- compare, total ordering of magnitudes */
+/* */
+/* This computes C = |A| ? |B|, under total ordering */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for one digit; the result will always be one of */
+/* -1, 0, or 1. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCompareTotalMag(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ uInt needbytes; // for space calculations
+ decNumber bufa[D2N(DECBUFFER+1)];// +1 in case DECBUFFER=0
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber bufb[D2N(DECBUFFER+1)];
+ decNumber *allocbufb=NULL; // -> allocated bufb, iff allocated
+ decNumber *a, *b; // temporary pointers
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ // if either is negative, take a copy and absolute
+ if (decNumberIsNegative(lhs)) { // lhs<0
+ a=bufa;
+ needbytes=sizeof(decNumber)+(D2U(lhs->digits)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufa)) { // need malloc space
+ allocbufa=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ a=allocbufa; // use the allocated space
+ }
+ decNumberCopy(a, lhs); // copy content
+ a->bits&=~DECNEG; // .. and clear the sign
+ lhs=a; // use copy from here on
+ }
+ if (decNumberIsNegative(rhs)) { // rhs<0
+ b=bufb;
+ needbytes=sizeof(decNumber)+(D2U(rhs->digits)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufb)) { // need malloc space
+ allocbufb=(decNumber *)malloc(needbytes);
+ if (allocbufb==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ b=allocbufb; // use the allocated space
+ }
+ decNumberCopy(b, rhs); // copy content
+ b->bits&=~DECNEG; // .. and clear the sign
+ rhs=b; // use copy from here on
+ }
+ decCompareOp(res, lhs, rhs, set, COMPTOTAL, &status);
+ } while(0); // end protected
+
+ if (allocbufa!=NULL) free(allocbufa); // drop any storage used
+ if (allocbufb!=NULL) free(allocbufb); // ..
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberCompareTotalMag
+
+/* ------------------------------------------------------------------ */
+/* decNumberDivide -- divide one number by another */
+/* */
+/* This computes C = A / B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X/X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberDivide(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decDivideOp(res, lhs, rhs, set, DIVIDE, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberDivide
+
+/* ------------------------------------------------------------------ */
+/* decNumberDivideInteger -- divide and return integer quotient */
+/* */
+/* This computes C = A # B, where # is the integer divide operator */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X#X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberDivideInteger(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decDivideOp(res, lhs, rhs, set, DIVIDEINT, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberDivideInteger
+
+/* ------------------------------------------------------------------ */
+/* decNumberExp -- exponentiation */
+/* */
+/* This computes C = exp(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Mathematical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* */
+/* Finite results will always be full precision and Inexact, except */
+/* when A is a zero or -Infinity (giving 1 or 0 respectively). */
+/* */
+/* An Inexact result is rounded using DEC_ROUND_HALF_EVEN; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* ------------------------------------------------------------------ */
+/* This is a wrapper for decExpOp which can handle the slightly wider */
+/* (double) range needed by Ln (which has to be able to calculate */
+/* exp(-a) where a can be the tiniest number (Ntiny). */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberExp(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ uInt status=0; // accumulator
+ #if DECSUBSET
+ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated
+ #endif
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // Check restrictions; these restrictions ensure that if h=8 (see
+ // decExpOp) then the result will either overflow or underflow to 0.
+ // Other math functions restrict the input range, too, for inverses.
+ // If not violated then carry out the operation.
+ if (!decCheckMath(rhs, set, &status)) do { // protect allocation
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operand and set lostDigits status, as needed
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ decExpOp(res, rhs, set, &status);
+ } while(0); // end protected
+
+ #if DECSUBSET
+ if (allocrhs !=NULL) free(allocrhs); // drop any storage used
+ #endif
+ // apply significant status
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberExp
+
+/* ------------------------------------------------------------------ */
+/* decNumberFMA -- fused multiply add */
+/* */
+/* This computes D = (A * B) + C with only one rounding */
+/* */
+/* res is D, the result. D may be A or B or C (e.g., X=FMA(X,X,X)) */
+/* lhs is A */
+/* rhs is B */
+/* fhs is C [far hand side] */
+/* set is the context */
+/* */
+/* Mathematical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberFMA(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, const decNumber *fhs,
+ decContext *set) {
+ uInt status=0; // accumulator
+ decContext dcmul; // context for the multiplication
+ uInt needbytes; // for space calculations
+ decNumber bufa[D2N(DECBUFFER*2+1)];
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber *acc; // accumulator pointer
+ decNumber dzero; // work
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ if (decCheckOperands(res, fhs, DECUNUSED, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) { // [undefined if subset]
+ status|=DEC_Invalid_operation;
+ break;}
+ #endif
+ // Check math restrictions [these ensure no overflow or underflow]
+ if ((!decNumberIsSpecial(lhs) && decCheckMath(lhs, set, &status))
+ || (!decNumberIsSpecial(rhs) && decCheckMath(rhs, set, &status))
+ || (!decNumberIsSpecial(fhs) && decCheckMath(fhs, set, &status))) break;
+ // set up context for multiply
+ dcmul=*set;
+ dcmul.digits=lhs->digits+rhs->digits; // just enough
+ // [The above may be an over-estimate for subset arithmetic, but that's OK]
+ dcmul.emax=DEC_MAX_EMAX; // effectively unbounded ..
+ dcmul.emin=DEC_MIN_EMIN; // [thanks to Math restrictions]
+ // set up decNumber space to receive the result of the multiply
+ acc=bufa; // may fit
+ needbytes=sizeof(decNumber)+(D2U(dcmul.digits)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufa)) { // need malloc space
+ allocbufa=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ acc=allocbufa; // use the allocated space
+ }
+ // multiply with extended range and necessary precision
+ //printf("emin=%ld\n", dcmul.emin);
+ decMultiplyOp(acc, lhs, rhs, &dcmul, &status);
+ // Only Invalid operation (from sNaN or Inf * 0) is possible in
+ // status; if either is seen than ignore fhs (in case it is
+ // another sNaN) and set acc to NaN unless we had an sNaN
+ // [decMultiplyOp leaves that to caller]
+ // Note sNaN has to go through addOp to shorten payload if
+ // necessary
+ if ((status&DEC_Invalid_operation)!=0) {
+ if (!(status&DEC_sNaN)) { // but be true invalid
+ decNumberZero(res); // acc not yet set
+ res->bits=DECNAN;
+ break;
+ }
+ decNumberZero(&dzero); // make 0 (any non-NaN would do)
+ fhs=&dzero; // use that
+ }
+ #if DECCHECK
+ else { // multiply was OK
+ if (status!=0) printf("Status=%08lx after FMA multiply\n", (LI)status);
+ }
+ #endif
+ // add the third operand and result -> res, and all is done
+ decAddOp(res, acc, fhs, set, 0, &status);
+ } while(0); // end protected
+
+ if (allocbufa!=NULL) free(allocbufa); // drop any storage used
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberFMA
+
+/* ------------------------------------------------------------------ */
+/* decNumberInvert -- invert a Number, digitwise */
+/* */
+/* This computes C = ~A */
+/* */
+/* res is C, the result. C may be A (e.g., X=~X) */
+/* rhs is A */
+/* set is the context (used for result length and error report) */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Logical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberInvert(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ const Unit *ua, *msua; // -> operand and its msu
+ Unit *uc, *msuc; // -> result and its msu
+ Int msudigs; // digits in res msu
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ if (rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ // operand is valid
+ ua=rhs->lsu; // bottom-up
+ uc=res->lsu; // ..
+ msua=ua+D2U(rhs->digits)-1; // -> msu of rhs
+ msuc=uc+D2U(set->digits)-1; // -> msu of result
+ msudigs=MSUDIGITS(set->digits); // [faster than remainder]
+ for (; uc<=msuc; ua++, uc++) { // Unit loop
+ Unit a; // extract unit
+ Int i, j; // work
+ if (ua>msua) a=0;
+ else a=*ua;
+ *uc=0; // can now write back
+ // always need to examine all bits in rhs
+ // This loop could be unrolled and/or use BIN2BCD tables
+ for (i=0; i1) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ if (uc==msuc && i==msudigs-1) break; // just did final digit
+ } // each digit
+ } // each unit
+ // [here uc-1 is the msu of the result]
+ res->digits=decGetDigits(res->lsu, uc-res->lsu);
+ res->exponent=0; // integer
+ res->bits=0; // sign=0
+ return res; // [no status to set]
+ } // decNumberInvert
+
+/* ------------------------------------------------------------------ */
+/* decNumberLn -- natural logarithm */
+/* */
+/* This computes C = ln(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Notable cases: */
+/* A<0 -> Invalid */
+/* A=0 -> -Infinity (Exact) */
+/* A=+Infinity -> +Infinity (Exact) */
+/* A=1 exactly -> 0 (Exact) */
+/* */
+/* Mathematical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* */
+/* An Inexact result is rounded using DEC_ROUND_HALF_EVEN; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* ------------------------------------------------------------------ */
+/* This is a wrapper for decLnOp which can handle the slightly wider */
+/* (+11) range needed by Ln, Log10, etc. (which may have to be able */
+/* to calculate at p+e+2). */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberLn(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ uInt status=0; // accumulator
+ #if DECSUBSET
+ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated
+ #endif
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // Check restrictions; this is a math function; if not violated
+ // then carry out the operation.
+ if (!decCheckMath(rhs, set, &status)) do { // protect allocation
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operand and set lostDigits status, as needed
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ // special check in subset for rhs=0
+ if (ISZERO(rhs)) { // +/- zeros -> error
+ status|=DEC_Invalid_operation;
+ break;}
+ } // extended=0
+ #endif
+ decLnOp(res, rhs, set, &status);
+ } while(0); // end protected
+
+ #if DECSUBSET
+ if (allocrhs !=NULL) free(allocrhs); // drop any storage used
+ #endif
+ // apply significant status
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberLn
+
+/* ------------------------------------------------------------------ */
+/* decNumberLogB - get adjusted exponent, by 754 rules */
+/* */
+/* This computes C = adjustedexponent(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context, used only for digits and status */
+/* */
+/* For an unrounded result, digits may need to be 10 (A might have */
+/* 10**9 digits and an exponent of +999999999, or one digit and an */
+/* exponent of -1999999999). */
+/* */
+/* This returns the adjusted exponent of A after (in theory) padding */
+/* with zeros on the right to set->digits digits while keeping the */
+/* same value. The exponent is not limited by emin/emax. */
+/* */
+/* Notable cases: */
+/* A<0 -> Use |A| */
+/* A=0 -> -Infinity (Division by zero) */
+/* A=Infinite -> +Infinity (Exact) */
+/* A=1 exactly -> 0 (Exact) */
+/* NaNs are propagated as usual */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberLogB(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ uInt status=0; // accumulator
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // NaNs as usual; Infinities return +Infinity; 0->oops
+ if (decNumberIsNaN(rhs)) decNaNs(res, rhs, NULL, set, &status);
+ else if (decNumberIsInfinite(rhs)) decNumberCopyAbs(res, rhs);
+ else if (decNumberIsZero(rhs)) {
+ decNumberZero(res); // prepare for Infinity
+ res->bits=DECNEG|DECINF; // -Infinity
+ status|=DEC_Division_by_zero; // as per 754
+ }
+ else { // finite non-zero
+ Int ae=rhs->exponent+rhs->digits-1; // adjusted exponent
+ if (set->digits>=10) decNumberFromInt32(res, ae); // lay it out
+ else {
+ decNumber buft[D2N(10)]; // temporary number
+ decNumber *t=buft; // ..
+ decNumberFromInt32(t, ae); // lay it out
+ decNumberPlus(res, t, set); // round as necessary
+ }
+ }
+
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberLogB
+
+/* ------------------------------------------------------------------ */
+/* decNumberLog10 -- logarithm in base 10 */
+/* */
+/* This computes C = log10(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Notable cases: */
+/* A<0 -> Invalid */
+/* A=0 -> -Infinity (Exact) */
+/* A=+Infinity -> +Infinity (Exact) */
+/* A=10**n (if n is an integer) -> n (Exact) */
+/* */
+/* Mathematical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* */
+/* An Inexact result is rounded using DEC_ROUND_HALF_EVEN; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* ------------------------------------------------------------------ */
+/* This calculates ln(A)/ln(10) using appropriate precision. For */
+/* ln(A) this is the max(p, rhs->digits + t) + 3, where p is the */
+/* requested digits and t is the number of digits in the exponent */
+/* (maximum 6). For ln(10) it is p + 3; this is often handled by the */
+/* fastpath in decLnOp. The final division is done to the requested */
+/* precision. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberLog10(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ uInt status=0, ignore=0; // status accumulators
+ uInt needbytes; // for space calculations
+ Int p; // working precision
+ Int t; // digits in exponent of A
+
+ // buffers for a and b working decimals
+ // (adjustment calculator, same size)
+ decNumber bufa[D2N(DECBUFFER+2)];
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber *a=bufa; // temporary a
+ decNumber bufb[D2N(DECBUFFER+2)];
+ decNumber *allocbufb=NULL; // -> allocated bufb, iff allocated
+ decNumber *b=bufb; // temporary b
+ decNumber bufw[D2N(10)]; // working 2-10 digit number
+ decNumber *w=bufw; // ..
+ #if DECSUBSET
+ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated
+ #endif
+
+ decContext aset; // working context
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // Check restrictions; this is a math function; if not violated
+ // then carry out the operation.
+ if (!decCheckMath(rhs, set, &status)) do { // protect malloc
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operand and set lostDigits status, as needed
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ // special check in subset for rhs=0
+ if (ISZERO(rhs)) { // +/- zeros -> error
+ status|=DEC_Invalid_operation;
+ break;}
+ } // extended=0
+ #endif
+
+ decContextDefault(&aset, DEC_INIT_DECIMAL64); // clean context
+
+ // handle exact powers of 10; only check if +ve finite
+ if (!(rhs->bits&(DECNEG|DECSPECIAL)) && !ISZERO(rhs)) {
+ Int residue=0; // (no residue)
+ uInt copystat=0; // clean status
+
+ // round to a single digit...
+ aset.digits=1;
+ decCopyFit(w, rhs, &aset, &residue, ©stat); // copy & shorten
+ // if exact and the digit is 1, rhs is a power of 10
+ if (!(copystat&DEC_Inexact) && w->lsu[0]==1) {
+ // the exponent, conveniently, is the power of 10; making
+ // this the result needs a little care as it might not fit,
+ // so first convert it into the working number, and then move
+ // to res
+ decNumberFromInt32(w, w->exponent);
+ residue=0;
+ decCopyFit(res, w, set, &residue, &status); // copy & round
+ decFinish(res, set, &residue, &status); // cleanup/set flags
+ break;
+ } // not a power of 10
+ } // not a candidate for exact
+
+ // simplify the information-content calculation to use 'total
+ // number of digits in a, including exponent' as compared to the
+ // requested digits, as increasing this will only rarely cost an
+ // iteration in ln(a) anyway
+ t=6; // it can never be >6
+
+ // allocate space when needed...
+ p=(rhs->digits+t>set->digits?rhs->digits+t:set->digits)+3;
+ needbytes=sizeof(decNumber)+(D2U(p)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufa)) { // need malloc space
+ allocbufa=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ a=allocbufa; // use the allocated space
+ }
+ aset.digits=p; // as calculated
+ aset.emax=DEC_MAX_MATH; // usual bounds
+ aset.emin=-DEC_MAX_MATH; // ..
+ aset.clamp=0; // and no concrete format
+ decLnOp(a, rhs, &aset, &status); // a=ln(rhs)
+
+ // skip the division if the result so far is infinite, NaN, or
+ // zero, or there was an error; note NaN from sNaN needs copy
+ if (status&DEC_NaNs && !(status&DEC_sNaN)) break;
+ if (a->bits&DECSPECIAL || ISZERO(a)) {
+ decNumberCopy(res, a); // [will fit]
+ break;}
+
+ // for ln(10) an extra 3 digits of precision are needed
+ p=set->digits+3;
+ needbytes=sizeof(decNumber)+(D2U(p)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufb)) { // need malloc space
+ allocbufb=(decNumber *)malloc(needbytes);
+ if (allocbufb==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ b=allocbufb; // use the allocated space
+ }
+ decNumberZero(w); // set up 10...
+ #if DECDPUN==1
+ w->lsu[1]=1; w->lsu[0]=0; // ..
+ #else
+ w->lsu[0]=10; // ..
+ #endif
+ w->digits=2; // ..
+
+ aset.digits=p;
+ decLnOp(b, w, &aset, &ignore); // b=ln(10)
+
+ aset.digits=set->digits; // for final divide
+ decDivideOp(res, a, b, &aset, DIVIDE, &status); // into result
+ } while(0); // [for break]
+
+ if (allocbufa!=NULL) free(allocbufa); // drop any storage used
+ if (allocbufb!=NULL) free(allocbufb); // ..
+ #if DECSUBSET
+ if (allocrhs !=NULL) free(allocrhs); // ..
+ #endif
+ // apply significant status
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberLog10
+
+/* ------------------------------------------------------------------ */
+/* decNumberMax -- compare two Numbers and return the maximum */
+/* */
+/* This computes C = A ? B, returning the maximum by 754 rules */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMax(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPMAX, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMax
+
+/* ------------------------------------------------------------------ */
+/* decNumberMaxMag -- compare and return the maximum by magnitude */
+/* */
+/* This computes C = A ? B, returning the maximum by 754 rules */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMaxMag(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPMAXMAG, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMaxMag
+
+/* ------------------------------------------------------------------ */
+/* decNumberMin -- compare two Numbers and return the minimum */
+/* */
+/* This computes C = A ? B, returning the minimum by 754 rules */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMin(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPMIN, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMin
+
+/* ------------------------------------------------------------------ */
+/* decNumberMinMag -- compare and return the minimum by magnitude */
+/* */
+/* This computes C = A ? B, returning the minimum by 754 rules */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMinMag(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decCompareOp(res, lhs, rhs, set, COMPMINMAG, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMinMag
+
+/* ------------------------------------------------------------------ */
+/* decNumberMinus -- prefix minus operator */
+/* */
+/* This computes C = 0 - A */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* See also decNumberCopyNegate for a quiet bitwise version of this. */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+/* Simply use AddOp for the subtract, which will do the necessary. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMinus(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dzero;
+ uInt status=0; // accumulator
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ decNumberZero(&dzero); // make 0
+ dzero.exponent=rhs->exponent; // [no coefficient expansion]
+ decAddOp(res, &dzero, rhs, set, DECNEG, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMinus
+
+/* ------------------------------------------------------------------ */
+/* decNumberNextMinus -- next towards -Infinity */
+/* */
+/* This computes C = A - infinitesimal, rounded towards -Infinity */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* This is a generalization of 754 NextDown. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberNextMinus(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dtiny; // constant
+ decContext workset=*set; // work
+ uInt status=0; // accumulator
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // +Infinity is the special case
+ if ((rhs->bits&(DECINF|DECNEG))==DECINF) {
+ decSetMaxValue(res, set); // is +ve
+ // there is no status to set
+ return res;
+ }
+ decNumberZero(&dtiny); // start with 0
+ dtiny.lsu[0]=1; // make number that is ..
+ dtiny.exponent=DEC_MIN_EMIN-1; // .. smaller than tiniest
+ workset.round=DEC_ROUND_FLOOR;
+ decAddOp(res, rhs, &dtiny, &workset, DECNEG, &status);
+ status&=DEC_Invalid_operation|DEC_sNaN; // only sNaN Invalid please
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberNextMinus
+
+/* ------------------------------------------------------------------ */
+/* decNumberNextPlus -- next towards +Infinity */
+/* */
+/* This computes C = A + infinitesimal, rounded towards +Infinity */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* This is a generalization of 754 NextUp. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberNextPlus(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dtiny; // constant
+ decContext workset=*set; // work
+ uInt status=0; // accumulator
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // -Infinity is the special case
+ if ((rhs->bits&(DECINF|DECNEG))==(DECINF|DECNEG)) {
+ decSetMaxValue(res, set);
+ res->bits=DECNEG; // negative
+ // there is no status to set
+ return res;
+ }
+ decNumberZero(&dtiny); // start with 0
+ dtiny.lsu[0]=1; // make number that is ..
+ dtiny.exponent=DEC_MIN_EMIN-1; // .. smaller than tiniest
+ workset.round=DEC_ROUND_CEILING;
+ decAddOp(res, rhs, &dtiny, &workset, 0, &status);
+ status&=DEC_Invalid_operation|DEC_sNaN; // only sNaN Invalid please
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberNextPlus
+
+/* ------------------------------------------------------------------ */
+/* decNumberNextToward -- next towards rhs */
+/* */
+/* This computes C = A +/- infinitesimal, rounded towards */
+/* +/-Infinity in the direction of B, as per 754-1985 nextafter */
+/* modified during revision but dropped from 754-2008. */
+/* */
+/* res is C, the result. C may be A or B. */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* This is a generalization of 754-1985 NextAfter. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberNextToward(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ decNumber dtiny; // constant
+ decContext workset=*set; // work
+ Int result; // ..
+ uInt status=0; // accumulator
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs)) {
+ decNaNs(res, lhs, rhs, set, &status);
+ }
+ else { // Is numeric, so no chance of sNaN Invalid, etc.
+ result=decCompare(lhs, rhs, 0); // sign matters
+ if (result==BADINT) status|=DEC_Insufficient_storage; // rare
+ else { // valid compare
+ if (result==0) decNumberCopySign(res, lhs, rhs); // easy
+ else { // differ: need NextPlus or NextMinus
+ uByte sub; // add or subtract
+ if (result<0) { // lhsbits&(DECINF|DECNEG))==(DECINF|DECNEG)) {
+ decSetMaxValue(res, set);
+ res->bits=DECNEG; // negative
+ return res; // there is no status to set
+ }
+ workset.round=DEC_ROUND_CEILING;
+ sub=0; // add, please
+ } // plus
+ else { // lhs>rhs, do nextminus
+ // +Infinity is the special case
+ if ((lhs->bits&(DECINF|DECNEG))==DECINF) {
+ decSetMaxValue(res, set);
+ return res; // there is no status to set
+ }
+ workset.round=DEC_ROUND_FLOOR;
+ sub=DECNEG; // subtract, please
+ } // minus
+ decNumberZero(&dtiny); // start with 0
+ dtiny.lsu[0]=1; // make number that is ..
+ dtiny.exponent=DEC_MIN_EMIN-1; // .. smaller than tiniest
+ decAddOp(res, lhs, &dtiny, &workset, sub, &status); // + or -
+ // turn off exceptions if the result is a normal number
+ // (including Nmin), otherwise let all status through
+ if (decNumberIsNormal(res, set)) status=0;
+ } // unequal
+ } // compare OK
+ } // numeric
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberNextToward
+
+/* ------------------------------------------------------------------ */
+/* decNumberOr -- OR two Numbers, digitwise */
+/* */
+/* This computes C = A | B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X|X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context (used for result length and error report) */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Logical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberOr(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ const Unit *ua, *ub; // -> operands
+ const Unit *msua, *msub; // -> operand msus
+ Unit *uc, *msuc; // -> result and its msu
+ Int msudigs; // digits in res msu
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ if (lhs->exponent!=0 || decNumberIsSpecial(lhs) || decNumberIsNegative(lhs)
+ || rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ // operands are valid
+ ua=lhs->lsu; // bottom-up
+ ub=rhs->lsu; // ..
+ uc=res->lsu; // ..
+ msua=ua+D2U(lhs->digits)-1; // -> msu of lhs
+ msub=ub+D2U(rhs->digits)-1; // -> msu of rhs
+ msuc=uc+D2U(set->digits)-1; // -> msu of result
+ msudigs=MSUDIGITS(set->digits); // [faster than remainder]
+ for (; uc<=msuc; ua++, ub++, uc++) { // Unit loop
+ Unit a, b; // extract units
+ if (ua>msua) a=0;
+ else a=*ua;
+ if (ub>msub) b=0;
+ else b=*ub;
+ *uc=0; // can now write back
+ if (a|b) { // maybe 1 bits to examine
+ Int i, j;
+ // This loop could be unrolled and/or use BIN2BCD tables
+ for (i=0; i1) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ if (uc==msuc && i==msudigs-1) break; // just did final digit
+ } // each digit
+ } // non-zero
+ } // each unit
+ // [here uc-1 is the msu of the result]
+ res->digits=decGetDigits(res->lsu, uc-res->lsu);
+ res->exponent=0; // integer
+ res->bits=0; // sign=0
+ return res; // [no status to set]
+ } // decNumberOr
+
+/* ------------------------------------------------------------------ */
+/* decNumberPlus -- prefix plus operator */
+/* */
+/* This computes C = 0 + A */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* See also decNumberCopy for a quiet bitwise version of this. */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+/* This simply uses AddOp; Add will take fast path after preparing A. */
+/* Performance is a concern here, as this routine is often used to */
+/* check operands and apply rounding and overflow/underflow testing. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberPlus(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dzero;
+ uInt status=0; // accumulator
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ decNumberZero(&dzero); // make 0
+ dzero.exponent=rhs->exponent; // [no coefficient expansion]
+ decAddOp(res, &dzero, rhs, set, 0, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberPlus
+
+/* ------------------------------------------------------------------ */
+/* decNumberMultiply -- multiply two Numbers */
+/* */
+/* This computes C = A x B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X+X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberMultiply(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decMultiplyOp(res, lhs, rhs, set, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberMultiply
+
+/* ------------------------------------------------------------------ */
+/* decNumberPower -- raise a number to a power */
+/* */
+/* This computes C = A ** B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X**X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Mathematical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* */
+/* However, if 1999999997<=B<=999999999 and B is an integer then the */
+/* restrictions on A and the context are relaxed to the usual bounds, */
+/* for compatibility with the earlier (integer power only) version */
+/* of this function. */
+/* */
+/* When B is an integer, the result may be exact, even if rounded. */
+/* */
+/* The final result is rounded according to the context; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberPower(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated
+ decNumber *allocrhs=NULL; // .., rhs
+ #endif
+ decNumber *allocdac=NULL; // -> allocated acc buffer, iff used
+ decNumber *allocinv=NULL; // -> allocated 1/x buffer, iff used
+ Int reqdigits=set->digits; // requested DIGITS
+ Int n; // rhs in binary
+ Flag rhsint=0; // 1 if rhs is an integer
+ Flag useint=0; // 1 if can use integer calculation
+ Flag isoddint=0; // 1 if rhs is an integer and odd
+ Int i; // work
+ #if DECSUBSET
+ Int dropped; // ..
+ #endif
+ uInt needbytes; // buffer size needed
+ Flag seenbit; // seen a bit while powering
+ Int residue=0; // rounding residue
+ uInt status=0; // accumulators
+ uByte bits=0; // result sign if errors
+ decContext aset; // working context
+ decNumber dnOne; // work value 1...
+ // local accumulator buffer [a decNumber, with digits+elength+1 digits]
+ decNumber dacbuff[D2N(DECBUFFER+9)];
+ decNumber *dac=dacbuff; // -> result accumulator
+ // same again for possible 1/lhs calculation
+ decNumber invbuff[D2N(DECBUFFER+9)];
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) { // reduce operands and set status, as needed
+ if (lhs->digits>reqdigits) {
+ alloclhs=decRoundOperand(lhs, set, &status);
+ if (alloclhs==NULL) break;
+ lhs=alloclhs;
+ }
+ if (rhs->digits>reqdigits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // handle NaNs and rhs Infinity (lhs infinity is harder)
+ if (SPECIALARGS) {
+ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs)) { // NaNs
+ decNaNs(res, lhs, rhs, set, &status);
+ break;}
+ if (decNumberIsInfinite(rhs)) { // rhs Infinity
+ Flag rhsneg=rhs->bits&DECNEG; // save rhs sign
+ if (decNumberIsNegative(lhs) // lhs<0
+ && !decNumberIsZero(lhs)) // ..
+ status|=DEC_Invalid_operation;
+ else { // lhs >=0
+ decNumberZero(&dnOne); // set up 1
+ dnOne.lsu[0]=1;
+ decNumberCompare(dac, lhs, &dnOne, set); // lhs ? 1
+ decNumberZero(res); // prepare for 0/1/Infinity
+ if (decNumberIsNegative(dac)) { // lhs<1
+ if (rhsneg) res->bits|=DECINF; // +Infinity [else is +0]
+ }
+ else if (dac->lsu[0]==0) { // lhs=1
+ // 1**Infinity is inexact, so return fully-padded 1.0000
+ Int shift=set->digits-1;
+ *res->lsu=1; // was 0, make int 1
+ res->digits=decShiftToMost(res->lsu, 1, shift);
+ res->exponent=-shift; // make 1.0000...
+ status|=DEC_Inexact|DEC_Rounded; // deemed inexact
+ }
+ else { // lhs>1
+ if (!rhsneg) res->bits|=DECINF; // +Infinity [else is +0]
+ }
+ } // lhs>=0
+ break;}
+ // [lhs infinity drops through]
+ } // specials
+
+ // Original rhs may be an integer that fits and is in range
+ n=decGetInt(rhs);
+ if (n!=BADINT) { // it is an integer
+ rhsint=1; // record the fact for 1**n
+ isoddint=(Flag)n&1; // [works even if big]
+ if (n!=BIGEVEN && n!=BIGODD) // can use integer path?
+ useint=1; // looks good
+ }
+
+ if (decNumberIsNegative(lhs) // -x ..
+ && isoddint) bits=DECNEG; // .. to an odd power
+
+ // handle LHS infinity
+ if (decNumberIsInfinite(lhs)) { // [NaNs already handled]
+ uByte rbits=rhs->bits; // save
+ decNumberZero(res); // prepare
+ if (n==0) *res->lsu=1; // [-]Inf**0 => 1
+ else {
+ // -Inf**nonint -> error
+ if (!rhsint && decNumberIsNegative(lhs)) {
+ status|=DEC_Invalid_operation; // -Inf**nonint is error
+ break;}
+ if (!(rbits & DECNEG)) bits|=DECINF; // was not a **-n
+ // [otherwise will be 0 or -0]
+ res->bits=bits;
+ }
+ break;}
+
+ // similarly handle LHS zero
+ if (decNumberIsZero(lhs)) {
+ if (n==0) { // 0**0 => Error
+ #if DECSUBSET
+ if (!set->extended) { // [unless subset]
+ decNumberZero(res);
+ *res->lsu=1; // return 1
+ break;}
+ #endif
+ status|=DEC_Invalid_operation;
+ }
+ else { // 0**x
+ uByte rbits=rhs->bits; // save
+ if (rbits & DECNEG) { // was a 0**(-n)
+ #if DECSUBSET
+ if (!set->extended) { // [bad if subset]
+ status|=DEC_Invalid_operation;
+ break;}
+ #endif
+ bits|=DECINF;
+ }
+ decNumberZero(res); // prepare
+ // [otherwise will be 0 or -0]
+ res->bits=bits;
+ }
+ break;}
+
+ // here both lhs and rhs are finite; rhs==0 is handled in the
+ // integer path. Next handle the non-integer cases
+ if (!useint) { // non-integral rhs
+ // any -ve lhs is bad, as is either operand or context out of
+ // bounds
+ if (decNumberIsNegative(lhs)) {
+ status|=DEC_Invalid_operation;
+ break;}
+ if (decCheckMath(lhs, set, &status)
+ || decCheckMath(rhs, set, &status)) break; // variable status
+
+ decContextDefault(&aset, DEC_INIT_DECIMAL64); // clean context
+ aset.emax=DEC_MAX_MATH; // usual bounds
+ aset.emin=-DEC_MAX_MATH; // ..
+ aset.clamp=0; // and no concrete format
+
+ // calculate the result using exp(ln(lhs)*rhs), which can
+ // all be done into the accumulator, dac. The precision needed
+ // is enough to contain the full information in the lhs (which
+ // is the total digits, including exponent), or the requested
+ // precision, if larger, + 4; 6 is used for the exponent
+ // maximum length, and this is also used when it is shorter
+ // than the requested digits as it greatly reduces the >0.5 ulp
+ // cases at little cost (because Ln doubles digits each
+ // iteration so a few extra digits rarely causes an extra
+ // iteration)
+ aset.digits=MAXI(lhs->digits, set->digits)+6+4;
+ } // non-integer rhs
+
+ else { // rhs is in-range integer
+ if (n==0) { // x**0 = 1
+ // (0**0 was handled above)
+ decNumberZero(res); // result=1
+ *res->lsu=1; // ..
+ break;}
+ // rhs is a non-zero integer
+ if (n<0) n=-n; // use abs(n)
+
+ aset=*set; // clone the context
+ aset.round=DEC_ROUND_HALF_EVEN; // internally use balanced
+ // calculate the working DIGITS
+ aset.digits=reqdigits+(rhs->digits+rhs->exponent)+2;
+ #if DECSUBSET
+ if (!set->extended) aset.digits--; // use classic precision
+ #endif
+ // it's an error if this is more than can be handled
+ if (aset.digits>DECNUMMAXP) {status|=DEC_Invalid_operation; break;}
+ } // integer path
+
+ // aset.digits is the count of digits for the accumulator needed
+ // if accumulator is too long for local storage, then allocate
+ needbytes=sizeof(decNumber)+(D2U(aset.digits)-1)*sizeof(Unit);
+ // [needbytes also used below if 1/lhs needed]
+ if (needbytes>sizeof(dacbuff)) {
+ allocdac=(decNumber *)malloc(needbytes);
+ if (allocdac==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ dac=allocdac; // use the allocated space
+ }
+ // here, aset is set up and accumulator is ready for use
+
+ if (!useint) { // non-integral rhs
+ // x ** y; special-case x=1 here as it will otherwise always
+ // reduce to integer 1; decLnOp has a fastpath which detects
+ // the case of x=1
+ decLnOp(dac, lhs, &aset, &status); // dac=ln(lhs)
+ // [no error possible, as lhs 0 already handled]
+ if (ISZERO(dac)) { // x==1, 1.0, etc.
+ // need to return fully-padded 1.0000 etc., but rhsint->1
+ *dac->lsu=1; // was 0, make int 1
+ if (!rhsint) { // add padding
+ Int shift=set->digits-1;
+ dac->digits=decShiftToMost(dac->lsu, 1, shift);
+ dac->exponent=-shift; // make 1.0000...
+ status|=DEC_Inexact|DEC_Rounded; // deemed inexact
+ }
+ }
+ else {
+ decMultiplyOp(dac, dac, rhs, &aset, &status); // dac=dac*rhs
+ decExpOp(dac, dac, &aset, &status); // dac=exp(dac)
+ }
+ // and drop through for final rounding
+ } // non-integer rhs
+
+ else { // carry on with integer
+ decNumberZero(dac); // acc=1
+ *dac->lsu=1; // ..
+
+ // if a negative power the constant 1 is needed, and if not subset
+ // invert the lhs now rather than inverting the result later
+ if (decNumberIsNegative(rhs)) { // was a **-n [hence digits>0]
+ decNumber *inv=invbuff; // asssume use fixed buffer
+ decNumberCopy(&dnOne, dac); // dnOne=1; [needed now or later]
+ #if DECSUBSET
+ if (set->extended) { // need to calculate 1/lhs
+ #endif
+ // divide lhs into 1, putting result in dac [dac=1/dac]
+ decDivideOp(dac, &dnOne, lhs, &aset, DIVIDE, &status);
+ // now locate or allocate space for the inverted lhs
+ if (needbytes>sizeof(invbuff)) {
+ allocinv=(decNumber *)malloc(needbytes);
+ if (allocinv==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ inv=allocinv; // use the allocated space
+ }
+ // [inv now points to big-enough buffer or allocated storage]
+ decNumberCopy(inv, dac); // copy the 1/lhs
+ decNumberCopy(dac, &dnOne); // restore acc=1
+ lhs=inv; // .. and go forward with new lhs
+ #if DECSUBSET
+ }
+ #endif
+ }
+
+ // Raise-to-the-power loop...
+ seenbit=0; // set once a 1-bit is encountered
+ for (i=1;;i++){ // for each bit [top bit ignored]
+ // abandon if had overflow or terminal underflow
+ if (status & (DEC_Overflow|DEC_Underflow)) { // interesting?
+ if (status&DEC_Overflow || ISZERO(dac)) break;
+ }
+ // [the following two lines revealed an optimizer bug in a C++
+ // compiler, with symptom: 5**3 -> 25, when n=n+n was used]
+ n=n<<1; // move next bit to testable position
+ if (n<0) { // top bit is set
+ seenbit=1; // OK, significant bit seen
+ decMultiplyOp(dac, dac, lhs, &aset, &status); // dac=dac*x
+ }
+ if (i==31) break; // that was the last bit
+ if (!seenbit) continue; // no need to square 1
+ decMultiplyOp(dac, dac, dac, &aset, &status); // dac=dac*dac [square]
+ } /*i*/ // 32 bits
+
+ // complete internal overflow or underflow processing
+ if (status & (DEC_Overflow|DEC_Underflow)) {
+ #if DECSUBSET
+ // If subset, and power was negative, reverse the kind of -erflow
+ // [1/x not yet done]
+ if (!set->extended && decNumberIsNegative(rhs)) {
+ if (status & DEC_Overflow)
+ status^=DEC_Overflow | DEC_Underflow | DEC_Subnormal;
+ else { // trickier -- Underflow may or may not be set
+ status&=~(DEC_Underflow | DEC_Subnormal); // [one or both]
+ status|=DEC_Overflow;
+ }
+ }
+ #endif
+ dac->bits=(dac->bits & ~DECNEG) | bits; // force correct sign
+ // round subnormals [to set.digits rather than aset.digits]
+ // or set overflow result similarly as required
+ decFinalize(dac, set, &residue, &status);
+ decNumberCopy(res, dac); // copy to result (is now OK length)
+ break;
+ }
+
+ #if DECSUBSET
+ if (!set->extended && // subset math
+ decNumberIsNegative(rhs)) { // was a **-n [hence digits>0]
+ // so divide result into 1 [dac=1/dac]
+ decDivideOp(dac, &dnOne, dac, &aset, DIVIDE, &status);
+ }
+ #endif
+ } // rhs integer path
+
+ // reduce result to the requested length and copy to result
+ decCopyFit(res, dac, set, &residue, &status);
+ decFinish(res, set, &residue, &status); // final cleanup
+ #if DECSUBSET
+ if (!set->extended) decTrim(res, set, 0, 1, &dropped); // trailing zeros
+ #endif
+ } while(0); // end protected
+
+ if (allocdac!=NULL) free(allocdac); // drop any storage used
+ if (allocinv!=NULL) free(allocinv); // ..
+ #if DECSUBSET
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ if (allocrhs!=NULL) free(allocrhs); // ..
+ #endif
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberPower
+
+/* ------------------------------------------------------------------ */
+/* decNumberQuantize -- force exponent to requested value */
+/* */
+/* This computes C = op(A, B), where op adjusts the coefficient */
+/* of C (by rounding or shifting) such that the exponent (-scale) */
+/* of C has exponent of B. The numerical value of C will equal A, */
+/* except for the effects of any rounding that occurred. */
+/* */
+/* res is C, the result. C may be A or B */
+/* lhs is A, the number to adjust */
+/* rhs is B, the number with exponent to match */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Unless there is an error or the result is infinite, the exponent */
+/* after the operation is guaranteed to be equal to that of B. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberQuantize(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decQuantizeOp(res, lhs, rhs, set, 1, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberQuantize
+
+/* ------------------------------------------------------------------ */
+/* decNumberReduce -- remove trailing zeros */
+/* */
+/* This computes C = 0 + A, and normalizes the result */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+// Previously known as Normalize
+decNumber * decNumberNormalize(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ return decNumberReduce(res, rhs, set);
+ } // decNumberNormalize
+
+decNumber * decNumberReduce(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ #if DECSUBSET
+ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated
+ #endif
+ uInt status=0; // as usual
+ Int residue=0; // as usual
+ Int dropped; // work
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operand and set lostDigits status, as needed
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // Infinities copy through; NaNs need usual treatment
+ if (decNumberIsNaN(rhs)) {
+ decNaNs(res, rhs, NULL, set, &status);
+ break;
+ }
+
+ // reduce result to the requested length and copy to result
+ decCopyFit(res, rhs, set, &residue, &status); // copy & round
+ decFinish(res, set, &residue, &status); // cleanup/set flags
+ decTrim(res, set, 1, 0, &dropped); // normalize in place
+ // [may clamp]
+ } while(0); // end protected
+
+ #if DECSUBSET
+ if (allocrhs !=NULL) free(allocrhs); // ..
+ #endif
+ if (status!=0) decStatus(res, status, set);// then report status
+ return res;
+ } // decNumberReduce
+
+/* ------------------------------------------------------------------ */
+/* decNumberRescale -- force exponent to requested value */
+/* */
+/* This computes C = op(A, B), where op adjusts the coefficient */
+/* of C (by rounding or shifting) such that the exponent (-scale) */
+/* of C has the value B. The numerical value of C will equal A, */
+/* except for the effects of any rounding that occurred. */
+/* */
+/* res is C, the result. C may be A or B */
+/* lhs is A, the number to adjust */
+/* rhs is B, the requested exponent */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Unless there is an error or the result is infinite, the exponent */
+/* after the operation is guaranteed to be equal to B. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberRescale(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decQuantizeOp(res, lhs, rhs, set, 0, &status);
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberRescale
+
+/* ------------------------------------------------------------------ */
+/* decNumberRemainder -- divide and return remainder */
+/* */
+/* This computes C = A % B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X%X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberRemainder(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decDivideOp(res, lhs, rhs, set, REMAINDER, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberRemainder
+
+/* ------------------------------------------------------------------ */
+/* decNumberRemainderNear -- divide and return remainder from nearest */
+/* */
+/* This computes C = A % B, where % is the IEEE remainder operator */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X%X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberRemainderNear(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ decDivideOp(res, lhs, rhs, set, REMNEAR, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberRemainderNear
+
+/* ------------------------------------------------------------------ */
+/* decNumberRotate -- rotate the coefficient of a Number left/right */
+/* */
+/* This computes C = A rot B (in base ten and rotating set->digits */
+/* digits). */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=XrotX) */
+/* lhs is A */
+/* rhs is B, the number of digits to rotate (-ve to right) */
+/* set is the context */
+/* */
+/* The digits of the coefficient of A are rotated to the left (if B */
+/* is positive) or to the right (if B is negative) without adjusting */
+/* the exponent or the sign of A. If lhs->digits is less than */
+/* set->digits the coefficient is padded with zeros on the left */
+/* before the rotate. Any leading zeros in the result are removed */
+/* as usual. */
+/* */
+/* B must be an integer (q=0) and in the range -set->digits through */
+/* +set->digits. */
+/* C must have space for set->digits digits. */
+/* NaNs are propagated as usual. Infinities are unaffected (but */
+/* B must be valid). No status is set unless B is invalid or an */
+/* operand is an sNaN. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberRotate(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ Int rotate; // rhs as an Int
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ // NaNs propagate as normal
+ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs))
+ decNaNs(res, lhs, rhs, set, &status);
+ // rhs must be an integer
+ else if (decNumberIsInfinite(rhs) || rhs->exponent!=0)
+ status=DEC_Invalid_operation;
+ else { // both numeric, rhs is an integer
+ rotate=decGetInt(rhs); // [cannot fail]
+ if (rotate==BADINT // something bad ..
+ || rotate==BIGODD || rotate==BIGEVEN // .. very big ..
+ || abs(rotate)>set->digits) // .. or out of range
+ status=DEC_Invalid_operation;
+ else { // rhs is OK
+ decNumberCopy(res, lhs);
+ // convert -ve rotate to equivalent positive rotation
+ if (rotate<0) rotate=set->digits+rotate;
+ if (rotate!=0 && rotate!=set->digits // zero or full rotation
+ && !decNumberIsInfinite(res)) { // lhs was infinite
+ // left-rotate to do; 0 < rotate < set->digits
+ uInt units, shift; // work
+ uInt msudigits; // digits in result msu
+ Unit *msu=res->lsu+D2U(res->digits)-1; // current msu
+ Unit *msumax=res->lsu+D2U(set->digits)-1; // rotation msu
+ for (msu++; msu<=msumax; msu++) *msu=0; // ensure high units=0
+ res->digits=set->digits; // now full-length
+ msudigits=MSUDIGITS(res->digits); // actual digits in msu
+
+ // rotation here is done in-place, in three steps
+ // 1. shift all to least up to one unit to unit-align final
+ // lsd [any digits shifted out are rotated to the left,
+ // abutted to the original msd (which may require split)]
+ //
+ // [if there are no whole units left to rotate, the
+ // rotation is now complete]
+ //
+ // 2. shift to least, from below the split point only, so that
+ // the final msd is in the right place in its Unit [any
+ // digits shifted out will fit exactly in the current msu,
+ // left aligned, no split required]
+ //
+ // 3. rotate all the units by reversing left part, right
+ // part, and then whole
+ //
+ // example: rotate right 8 digits (2 units + 2), DECDPUN=3.
+ //
+ // start: 00a bcd efg hij klm npq
+ //
+ // 1a 000 0ab cde fgh|ijk lmn [pq saved]
+ // 1b 00p qab cde fgh|ijk lmn
+ //
+ // 2a 00p qab cde fgh|00i jkl [mn saved]
+ // 2b mnp qab cde fgh|00i jkl
+ //
+ // 3a fgh cde qab mnp|00i jkl
+ // 3b fgh cde qab mnp|jkl 00i
+ // 3c 00i jkl mnp qab cde fgh
+
+ // Step 1: amount to shift is the partial right-rotate count
+ rotate=set->digits-rotate; // make it right-rotate
+ units=rotate/DECDPUN; // whole units to rotate
+ shift=rotate%DECDPUN; // left-over digits count
+ if (shift>0) { // not an exact number of units
+ uInt save=res->lsu[0]%powers[shift]; // save low digit(s)
+ decShiftToLeast(res->lsu, D2U(res->digits), shift);
+ if (shift>msudigits) { // msumax-1 needs >0 digits
+ uInt rem=save%powers[shift-msudigits];// split save
+ *msumax=(Unit)(save/powers[shift-msudigits]); // and insert
+ *(msumax-1)=*(msumax-1)
+ +(Unit)(rem*powers[DECDPUN-(shift-msudigits)]); // ..
+ }
+ else { // all fits in msumax
+ *msumax=*msumax+(Unit)(save*powers[msudigits-shift]); // [maybe *1]
+ }
+ } // digits shift needed
+
+ // If whole units to rotate...
+ if (units>0) { // some to do
+ // Step 2: the units to touch are the whole ones in rotate,
+ // if any, and the shift is DECDPUN-msudigits (which may be
+ // 0, again)
+ shift=DECDPUN-msudigits;
+ if (shift>0) { // not an exact number of units
+ uInt save=res->lsu[0]%powers[shift]; // save low digit(s)
+ decShiftToLeast(res->lsu, units, shift);
+ *msumax=*msumax+(Unit)(save*powers[msudigits]);
+ } // partial shift needed
+
+ // Step 3: rotate the units array using triple reverse
+ // (reversing is easy and fast)
+ decReverse(res->lsu+units, msumax); // left part
+ decReverse(res->lsu, res->lsu+units-1); // right part
+ decReverse(res->lsu, msumax); // whole
+ } // whole units to rotate
+ // the rotation may have left an undetermined number of zeros
+ // on the left, so true length needs to be calculated
+ res->digits=decGetDigits(res->lsu, msumax-res->lsu+1);
+ } // rotate needed
+ } // rhs OK
+ } // numerics
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberRotate
+
+/* ------------------------------------------------------------------ */
+/* decNumberSameQuantum -- test for equal exponents */
+/* */
+/* res is the result number, which will contain either 0 or 1 */
+/* lhs is a number to test */
+/* rhs is the second (usually a pattern) */
+/* */
+/* No errors are possible and no context is needed. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberSameQuantum(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs) {
+ Unit ret=0; // return value
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, DECUNCONT)) return res;
+ #endif
+
+ if (SPECIALARGS) {
+ if (decNumberIsNaN(lhs) && decNumberIsNaN(rhs)) ret=1;
+ else if (decNumberIsInfinite(lhs) && decNumberIsInfinite(rhs)) ret=1;
+ // [anything else with a special gives 0]
+ }
+ else if (lhs->exponent==rhs->exponent) ret=1;
+
+ decNumberZero(res); // OK to overwrite an operand now
+ *res->lsu=ret;
+ return res;
+ } // decNumberSameQuantum
+
+/* ------------------------------------------------------------------ */
+/* decNumberScaleB -- multiply by a power of 10 */
+/* */
+/* This computes C = A x 10**B where B is an integer (q=0) with */
+/* maximum magnitude 2*(emax+digits) */
+/* */
+/* res is C, the result. C may be A or B */
+/* lhs is A, the number to adjust */
+/* rhs is B, the requested power of ten to use */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* The result may underflow or overflow. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberScaleB(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ Int reqexp; // requested exponent change [B]
+ uInt status=0; // accumulator
+ Int residue; // work
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ // Handle special values except lhs infinite
+ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs))
+ decNaNs(res, lhs, rhs, set, &status);
+ // rhs must be an integer
+ else if (decNumberIsInfinite(rhs) || rhs->exponent!=0)
+ status=DEC_Invalid_operation;
+ else {
+ // lhs is a number; rhs is a finite with q==0
+ reqexp=decGetInt(rhs); // [cannot fail]
+ // maximum range is larger than getInt can handle, so this is
+ // more restrictive than the specification
+ if (reqexp==BADINT // something bad ..
+ || reqexp==BIGODD || reqexp==BIGEVEN // it was huge
+ || (abs(reqexp)+1)/2>(set->digits+set->emax)) // .. or out of range
+ status=DEC_Invalid_operation;
+ else { // rhs is OK
+ decNumberCopy(res, lhs); // all done if infinite lhs
+ if (!decNumberIsInfinite(res)) { // prepare to scale
+ Int exp=res->exponent; // save for overflow test
+ res->exponent+=reqexp; // adjust the exponent
+ if (((exp^reqexp)>=0) // same sign ...
+ && ((exp^res->exponent)<0)) { // .. but result had different
+ // the calculation overflowed, so force right treatment
+ if (exp<0) res->exponent=DEC_MIN_EMIN-DEC_MAX_DIGITS;
+ else res->exponent=DEC_MAX_EMAX+1;
+ }
+ residue=0;
+ decFinalize(res, set, &residue, &status); // final check
+ } // finite LHS
+ } // rhs OK
+ } // rhs finite
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberScaleB
+
+/* ------------------------------------------------------------------ */
+/* decNumberShift -- shift the coefficient of a Number left or right */
+/* */
+/* This computes C = A << B or C = A >> -B (in base ten). */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X<digits through */
+/* +set->digits. */
+/* C must have space for set->digits digits. */
+/* NaNs are propagated as usual. Infinities are unaffected (but */
+/* B must be valid). No status is set unless B is invalid or an */
+/* operand is an sNaN. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberShift(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+ Int shift; // rhs as an Int
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ // NaNs propagate as normal
+ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs))
+ decNaNs(res, lhs, rhs, set, &status);
+ // rhs must be an integer
+ else if (decNumberIsInfinite(rhs) || rhs->exponent!=0)
+ status=DEC_Invalid_operation;
+ else { // both numeric, rhs is an integer
+ shift=decGetInt(rhs); // [cannot fail]
+ if (shift==BADINT // something bad ..
+ || shift==BIGODD || shift==BIGEVEN // .. very big ..
+ || abs(shift)>set->digits) // .. or out of range
+ status=DEC_Invalid_operation;
+ else { // rhs is OK
+ decNumberCopy(res, lhs);
+ if (shift!=0 && !decNumberIsInfinite(res)) { // something to do
+ if (shift>0) { // to left
+ if (shift==set->digits) { // removing all
+ *res->lsu=0; // so place 0
+ res->digits=1; // ..
+ }
+ else { //
+ // first remove leading digits if necessary
+ if (res->digits+shift>set->digits) {
+ decDecap(res, res->digits+shift-set->digits);
+ // that updated res->digits; may have gone to 1 (for a
+ // single digit or for zero
+ }
+ if (res->digits>1 || *res->lsu) // if non-zero..
+ res->digits=decShiftToMost(res->lsu, res->digits, shift);
+ } // partial left
+ } // left
+ else { // to right
+ if (-shift>=res->digits) { // discarding all
+ *res->lsu=0; // so place 0
+ res->digits=1; // ..
+ }
+ else {
+ decShiftToLeast(res->lsu, D2U(res->digits), -shift);
+ res->digits-=(-shift);
+ }
+ } // to right
+ } // non-0 non-Inf shift
+ } // rhs OK
+ } // numerics
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberShift
+
+/* ------------------------------------------------------------------ */
+/* decNumberSquareRoot -- square root operator */
+/* */
+/* This computes C = squareroot(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+/* This uses the following varying-precision algorithm in: */
+/* */
+/* Properly Rounded Variable Precision Square Root, T. E. Hull and */
+/* A. Abrham, ACM Transactions on Mathematical Software, Vol 11 #3, */
+/* pp229-237, ACM, September 1985. */
+/* */
+/* The square-root is calculated using Newton's method, after which */
+/* a check is made to ensure the result is correctly rounded. */
+/* */
+/* % [Reformatted original Numerical Turing source code follows.] */
+/* function sqrt(x : real) : real */
+/* % sqrt(x) returns the properly rounded approximation to the square */
+/* % root of x, in the precision of the calling environment, or it */
+/* % fails if x < 0. */
+/* % t e hull and a abrham, august, 1984 */
+/* if x <= 0 then */
+/* if x < 0 then */
+/* assert false */
+/* else */
+/* result 0 */
+/* end if */
+/* end if */
+/* var f := setexp(x, 0) % fraction part of x [0.1 <= x < 1] */
+/* var e := getexp(x) % exponent part of x */
+/* var approx : real */
+/* if e mod 2 = 0 then */
+/* approx := .259 + .819 * f % approx to root of f */
+/* else */
+/* f := f/l0 % adjustments */
+/* e := e + 1 % for odd */
+/* approx := .0819 + 2.59 * f % exponent */
+/* end if */
+/* */
+/* var p:= 3 */
+/* const maxp := currentprecision + 2 */
+/* loop */
+/* p := min(2*p - 2, maxp) % p = 4,6,10, . . . , maxp */
+/* precision p */
+/* approx := .5 * (approx + f/approx) */
+/* exit when p = maxp */
+/* end loop */
+/* */
+/* % approx is now within 1 ulp of the properly rounded square root */
+/* % of f; to ensure proper rounding, compare squares of (approx - */
+/* % l/2 ulp) and (approx + l/2 ulp) with f. */
+/* p := currentprecision */
+/* begin */
+/* precision p + 2 */
+/* const approxsubhalf := approx - setexp(.5, -p) */
+/* if mulru(approxsubhalf, approxsubhalf) > f then */
+/* approx := approx - setexp(.l, -p + 1) */
+/* else */
+/* const approxaddhalf := approx + setexp(.5, -p) */
+/* if mulrd(approxaddhalf, approxaddhalf) < f then */
+/* approx := approx + setexp(.l, -p + 1) */
+/* end if */
+/* end if */
+/* end */
+/* result setexp(approx, e div 2) % fix exponent */
+/* end sqrt */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberSquareRoot(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decContext workset, approxset; // work contexts
+ decNumber dzero; // used for constant zero
+ Int maxp; // largest working precision
+ Int workp; // working precision
+ Int residue=0; // rounding residue
+ uInt status=0, ignore=0; // status accumulators
+ uInt rstatus; // ..
+ Int exp; // working exponent
+ Int ideal; // ideal (preferred) exponent
+ Int needbytes; // work
+ Int dropped; // ..
+
+ #if DECSUBSET
+ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated
+ #endif
+ // buffer for f [needs +1 in case DECBUFFER 0]
+ decNumber buff[D2N(DECBUFFER+1)];
+ // buffer for a [needs +2 to match likely maxp]
+ decNumber bufa[D2N(DECBUFFER+2)];
+ // buffer for temporary, b [must be same size as a]
+ decNumber bufb[D2N(DECBUFFER+2)];
+ decNumber *allocbuff=NULL; // -> allocated buff, iff allocated
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber *allocbufb=NULL; // -> allocated bufb, iff allocated
+ decNumber *f=buff; // reduced fraction
+ decNumber *a=bufa; // approximation to result
+ decNumber *b=bufb; // intermediate result
+ // buffer for temporary variable, up to 3 digits
+ decNumber buft[D2N(3)];
+ decNumber *t=buft; // up-to-3-digit constant or work
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operand and set lostDigits status, as needed
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, &status);
+ if (allocrhs==NULL) break;
+ // [Note: 'f' allocation below could reuse this buffer if
+ // used, but as this is rare they are kept separate for clarity.]
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // handle infinities and NaNs
+ if (SPECIALARG) {
+ if (decNumberIsInfinite(rhs)) { // an infinity
+ if (decNumberIsNegative(rhs)) status|=DEC_Invalid_operation;
+ else decNumberCopy(res, rhs); // +Infinity
+ }
+ else decNaNs(res, rhs, NULL, set, &status); // a NaN
+ break;
+ }
+
+ // calculate the ideal (preferred) exponent [floor(exp/2)]
+ // [It would be nicer to write: ideal=rhs->exponent>>1, but this
+ // generates a compiler warning. Generated code is the same.]
+ ideal=(rhs->exponent&~1)/2; // target
+
+ // handle zeros
+ if (ISZERO(rhs)) {
+ decNumberCopy(res, rhs); // could be 0 or -0
+ res->exponent=ideal; // use the ideal [safe]
+ // use decFinish to clamp any out-of-range exponent, etc.
+ decFinish(res, set, &residue, &status);
+ break;
+ }
+
+ // any other -x is an oops
+ if (decNumberIsNegative(rhs)) {
+ status|=DEC_Invalid_operation;
+ break;
+ }
+
+ // space is needed for three working variables
+ // f -- the same precision as the RHS, reduced to 0.01->0.99...
+ // a -- Hull's approximation -- precision, when assigned, is
+ // currentprecision+1 or the input argument precision,
+ // whichever is larger (+2 for use as temporary)
+ // b -- intermediate temporary result (same size as a)
+ // if any is too long for local storage, then allocate
+ workp=MAXI(set->digits+1, rhs->digits); // actual rounding precision
+ workp=MAXI(workp, 7); // at least 7 for low cases
+ maxp=workp+2; // largest working precision
+
+ needbytes=sizeof(decNumber)+(D2U(rhs->digits)-1)*sizeof(Unit);
+ if (needbytes>(Int)sizeof(buff)) {
+ allocbuff=(decNumber *)malloc(needbytes);
+ if (allocbuff==NULL) { // hopeless -- abandon
+ status|=DEC_Insufficient_storage;
+ break;}
+ f=allocbuff; // use the allocated space
+ }
+ // a and b both need to be able to hold a maxp-length number
+ needbytes=sizeof(decNumber)+(D2U(maxp)-1)*sizeof(Unit);
+ if (needbytes>(Int)sizeof(bufa)) { // [same applies to b]
+ allocbufa=(decNumber *)malloc(needbytes);
+ allocbufb=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL || allocbufb==NULL) { // hopeless
+ status|=DEC_Insufficient_storage;
+ break;}
+ a=allocbufa; // use the allocated spaces
+ b=allocbufb; // ..
+ }
+
+ // copy rhs -> f, save exponent, and reduce so 0.1 <= f < 1
+ decNumberCopy(f, rhs);
+ exp=f->exponent+f->digits; // adjusted to Hull rules
+ f->exponent=-(f->digits); // to range
+
+ // set up working context
+ decContextDefault(&workset, DEC_INIT_DECIMAL64);
+ workset.emax=DEC_MAX_EMAX;
+ workset.emin=DEC_MIN_EMIN;
+
+ // [Until further notice, no error is possible and status bits
+ // (Rounded, etc.) should be ignored, not accumulated.]
+
+ // Calculate initial approximation, and allow for odd exponent
+ workset.digits=workp; // p for initial calculation
+ t->bits=0; t->digits=3;
+ a->bits=0; a->digits=3;
+ if ((exp & 1)==0) { // even exponent
+ // Set t=0.259, a=0.819
+ t->exponent=-3;
+ a->exponent=-3;
+ #if DECDPUN>=3
+ t->lsu[0]=259;
+ a->lsu[0]=819;
+ #elif DECDPUN==2
+ t->lsu[0]=59; t->lsu[1]=2;
+ a->lsu[0]=19; a->lsu[1]=8;
+ #else
+ t->lsu[0]=9; t->lsu[1]=5; t->lsu[2]=2;
+ a->lsu[0]=9; a->lsu[1]=1; a->lsu[2]=8;
+ #endif
+ }
+ else { // odd exponent
+ // Set t=0.0819, a=2.59
+ f->exponent--; // f=f/10
+ exp++; // e=e+1
+ t->exponent=-4;
+ a->exponent=-2;
+ #if DECDPUN>=3
+ t->lsu[0]=819;
+ a->lsu[0]=259;
+ #elif DECDPUN==2
+ t->lsu[0]=19; t->lsu[1]=8;
+ a->lsu[0]=59; a->lsu[1]=2;
+ #else
+ t->lsu[0]=9; t->lsu[1]=1; t->lsu[2]=8;
+ a->lsu[0]=9; a->lsu[1]=5; a->lsu[2]=2;
+ #endif
+ }
+
+ decMultiplyOp(a, a, f, &workset, &ignore); // a=a*f
+ decAddOp(a, a, t, &workset, 0, &ignore); // ..+t
+ // [a is now the initial approximation for sqrt(f), calculated with
+ // currentprecision, which is also a's precision.]
+
+ // the main calculation loop
+ decNumberZero(&dzero); // make 0
+ decNumberZero(t); // set t = 0.5
+ t->lsu[0]=5; // ..
+ t->exponent=-1; // ..
+ workset.digits=3; // initial p
+ for (; workset.digitsexponent+=exp/2; // set correct exponent
+ rstatus=0; // clear status
+ residue=0; // .. and accumulator
+ decCopyFit(a, a, &approxset, &residue, &rstatus); // reduce (if needed)
+ decFinish(a, &approxset, &residue, &rstatus); // clean and finalize
+
+ // Overflow was possible if the input exponent was out-of-range,
+ // in which case quit
+ if (rstatus&DEC_Overflow) {
+ status=rstatus; // use the status as-is
+ decNumberCopy(res, a); // copy to result
+ break;
+ }
+
+ // Preserve status except Inexact/Rounded
+ status|=(rstatus & ~(DEC_Rounded|DEC_Inexact));
+
+ // Carry out the Hull correction
+ a->exponent-=exp/2; // back to 0.1->1
+
+ // a is now at final precision and within 1 ulp of the properly
+ // rounded square root of f; to ensure proper rounding, compare
+ // squares of (a - l/2 ulp) and (a + l/2 ulp) with f.
+ // Here workset.digits=maxp and t=0.5, and a->digits determines
+ // the ulp
+ workset.digits--; // maxp-1 is OK now
+ t->exponent=-a->digits-1; // make 0.5 ulp
+ decAddOp(b, a, t, &workset, DECNEG, &ignore); // b = a - 0.5 ulp
+ workset.round=DEC_ROUND_UP;
+ decMultiplyOp(b, b, b, &workset, &ignore); // b = mulru(b, b)
+ decCompareOp(b, f, b, &workset, COMPARE, &ignore); // b ? f, reversed
+ if (decNumberIsNegative(b)) { // f < b [i.e., b > f]
+ // this is the more common adjustment, though both are rare
+ t->exponent++; // make 1.0 ulp
+ t->lsu[0]=1; // ..
+ decAddOp(a, a, t, &workset, DECNEG, &ignore); // a = a - 1 ulp
+ // assign to approx [round to length]
+ approxset.emin-=exp/2; // adjust to match a
+ approxset.emax-=exp/2;
+ decAddOp(a, &dzero, a, &approxset, 0, &ignore);
+ }
+ else {
+ decAddOp(b, a, t, &workset, 0, &ignore); // b = a + 0.5 ulp
+ workset.round=DEC_ROUND_DOWN;
+ decMultiplyOp(b, b, b, &workset, &ignore); // b = mulrd(b, b)
+ decCompareOp(b, b, f, &workset, COMPARE, &ignore); // b ? f
+ if (decNumberIsNegative(b)) { // b < f
+ t->exponent++; // make 1.0 ulp
+ t->lsu[0]=1; // ..
+ decAddOp(a, a, t, &workset, 0, &ignore); // a = a + 1 ulp
+ // assign to approx [round to length]
+ approxset.emin-=exp/2; // adjust to match a
+ approxset.emax-=exp/2;
+ decAddOp(a, &dzero, a, &approxset, 0, &ignore);
+ }
+ }
+ // [no errors are possible in the above, and rounding/inexact during
+ // estimation are irrelevant, so status was not accumulated]
+
+ // Here, 0.1 <= a < 1 (still), so adjust back
+ a->exponent+=exp/2; // set correct exponent
+
+ // count droppable zeros [after any subnormal rounding] by
+ // trimming a copy
+ decNumberCopy(b, a);
+ decTrim(b, set, 1, 1, &dropped); // [drops trailing zeros]
+
+ // Set Inexact and Rounded. The answer can only be exact if
+ // it is short enough so that squaring it could fit in workp
+ // digits, so this is the only (relatively rare) condition that
+ // a careful check is needed
+ if (b->digits*2-1 > workp) { // cannot fit
+ status|=DEC_Inexact|DEC_Rounded;
+ }
+ else { // could be exact/unrounded
+ uInt mstatus=0; // local status
+ decMultiplyOp(b, b, b, &workset, &mstatus); // try the multiply
+ if (mstatus&DEC_Overflow) { // result just won't fit
+ status|=DEC_Inexact|DEC_Rounded;
+ }
+ else { // plausible
+ decCompareOp(t, b, rhs, &workset, COMPARE, &mstatus); // b ? rhs
+ if (!ISZERO(t)) status|=DEC_Inexact|DEC_Rounded; // not equal
+ else { // is Exact
+ // here, dropped is the count of trailing zeros in 'a'
+ // use closest exponent to ideal...
+ Int todrop=ideal-a->exponent; // most that can be dropped
+ if (todrop<0) status|=DEC_Rounded; // ideally would add 0s
+ else { // unrounded
+ // there are some to drop, but emax may not allow all
+ Int maxexp=set->emax-set->digits+1;
+ Int maxdrop=maxexp-a->exponent;
+ if (todrop>maxdrop && set->clamp) { // apply clamping
+ todrop=maxdrop;
+ status|=DEC_Clamped;
+ }
+ if (dropped0) { // have some to drop
+ decShiftToLeast(a->lsu, D2U(a->digits), todrop);
+ a->exponent+=todrop; // maintain numerical value
+ a->digits-=todrop; // new length
+ }
+ }
+ }
+ }
+ }
+
+ // double-check Underflow, as perhaps the result could not have
+ // been subnormal (initial argument too big), or it is now Exact
+ if (status&DEC_Underflow) {
+ Int ae=rhs->exponent+rhs->digits-1; // adjusted exponent
+ // check if truly subnormal
+ #if DECEXTFLAG // DEC_Subnormal too
+ if (ae>=set->emin*2) status&=~(DEC_Subnormal|DEC_Underflow);
+ #else
+ if (ae>=set->emin*2) status&=~DEC_Underflow;
+ #endif
+ // check if truly inexact
+ if (!(status&DEC_Inexact)) status&=~DEC_Underflow;
+ }
+
+ decNumberCopy(res, a); // a is now the result
+ } while(0); // end protected
+
+ if (allocbuff!=NULL) free(allocbuff); // drop any storage used
+ if (allocbufa!=NULL) free(allocbufa); // ..
+ if (allocbufb!=NULL) free(allocbufb); // ..
+ #if DECSUBSET
+ if (allocrhs !=NULL) free(allocrhs); // ..
+ #endif
+ if (status!=0) decStatus(res, status, set);// then report status
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberSquareRoot
+
+/* ------------------------------------------------------------------ */
+/* decNumberSubtract -- subtract two Numbers */
+/* */
+/* This computes C = A - B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X-X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* */
+/* C must have space for set->digits digits. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberSubtract(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ uInt status=0; // accumulator
+
+ decAddOp(res, lhs, rhs, set, DECNEG, &status);
+ if (status!=0) decStatus(res, status, set);
+ #if DECCHECK
+ decCheckInexact(res, set);
+ #endif
+ return res;
+ } // decNumberSubtract
+
+/* ------------------------------------------------------------------ */
+/* decNumberToIntegralExact -- round-to-integral-value with InExact */
+/* decNumberToIntegralValue -- round-to-integral-value */
+/* */
+/* res is the result */
+/* rhs is input number */
+/* set is the context */
+/* */
+/* res must have space for any value of rhs. */
+/* */
+/* This implements the IEEE special operators and therefore treats */
+/* special values as valid. For finite numbers it returns */
+/* rescale(rhs, 0) if rhs->exponent is <0. */
+/* Otherwise the result is rhs (so no error is possible, except for */
+/* sNaN). */
+/* */
+/* The context is used for rounding mode and status after sNaN, but */
+/* the digits setting is ignored. The Exact version will signal */
+/* Inexact if the result differs numerically from rhs; the other */
+/* never signals Inexact. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberToIntegralExact(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decNumber dn;
+ decContext workset; // working context
+ uInt status=0; // accumulator
+
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ // handle infinities and NaNs
+ if (SPECIALARG) {
+ if (decNumberIsInfinite(rhs)) decNumberCopy(res, rhs); // an Infinity
+ else decNaNs(res, rhs, NULL, set, &status); // a NaN
+ }
+ else { // finite
+ // have a finite number; no error possible (res must be big enough)
+ if (rhs->exponent>=0) return decNumberCopy(res, rhs);
+ // that was easy, but if negative exponent there is work to do...
+ workset=*set; // clone rounding, etc.
+ workset.digits=rhs->digits; // no length rounding
+ workset.traps=0; // no traps
+ decNumberZero(&dn); // make a number with exponent 0
+ decNumberQuantize(res, rhs, &dn, &workset);
+ status|=workset.status;
+ }
+ if (status!=0) decStatus(res, status, set);
+ return res;
+ } // decNumberToIntegralExact
+
+decNumber * decNumberToIntegralValue(decNumber *res, const decNumber *rhs,
+ decContext *set) {
+ decContext workset=*set; // working context
+ workset.traps=0; // no traps
+ decNumberToIntegralExact(res, rhs, &workset);
+ // this never affects set, except for sNaNs; NaN will have been set
+ // or propagated already, so no need to call decStatus
+ set->status|=workset.status&DEC_Invalid_operation;
+ return res;
+ } // decNumberToIntegralValue
+
+/* ------------------------------------------------------------------ */
+/* decNumberXor -- XOR two Numbers, digitwise */
+/* */
+/* This computes C = A ^ B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X^X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context (used for result length and error report) */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Logical function restrictions apply (see above); a NaN is */
+/* returned with Invalid_operation if a restriction is violated. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberXor(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ const Unit *ua, *ub; // -> operands
+ const Unit *msua, *msub; // -> operand msus
+ Unit *uc, *msuc; // -> result and its msu
+ Int msudigs; // digits in res msu
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ if (lhs->exponent!=0 || decNumberIsSpecial(lhs) || decNumberIsNegative(lhs)
+ || rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ // operands are valid
+ ua=lhs->lsu; // bottom-up
+ ub=rhs->lsu; // ..
+ uc=res->lsu; // ..
+ msua=ua+D2U(lhs->digits)-1; // -> msu of lhs
+ msub=ub+D2U(rhs->digits)-1; // -> msu of rhs
+ msuc=uc+D2U(set->digits)-1; // -> msu of result
+ msudigs=MSUDIGITS(set->digits); // [faster than remainder]
+ for (; uc<=msuc; ua++, ub++, uc++) { // Unit loop
+ Unit a, b; // extract units
+ if (ua>msua) a=0;
+ else a=*ua;
+ if (ub>msub) b=0;
+ else b=*ub;
+ *uc=0; // can now write back
+ if (a|b) { // maybe 1 bits to examine
+ Int i, j;
+ // This loop could be unrolled and/or use BIN2BCD tables
+ for (i=0; i1) {
+ decStatus(res, DEC_Invalid_operation, set);
+ return res;
+ }
+ if (uc==msuc && i==msudigs-1) break; // just did final digit
+ } // each digit
+ } // non-zero
+ } // each unit
+ // [here uc-1 is the msu of the result]
+ res->digits=decGetDigits(res->lsu, uc-res->lsu);
+ res->exponent=0; // integer
+ res->bits=0; // sign=0
+ return res; // [no status to set]
+ } // decNumberXor
+
+
+/* ================================================================== */
+/* Utility routines */
+/* ================================================================== */
+
+/* ------------------------------------------------------------------ */
+/* decNumberClass -- return the decClass of a decNumber */
+/* dn -- the decNumber to test */
+/* set -- the context to use for Emin */
+/* returns the decClass enum */
+/* ------------------------------------------------------------------ */
+enum decClass decNumberClass(const decNumber *dn, decContext *set) {
+ if (decNumberIsSpecial(dn)) {
+ if (decNumberIsQNaN(dn)) return DEC_CLASS_QNAN;
+ if (decNumberIsSNaN(dn)) return DEC_CLASS_SNAN;
+ // must be an infinity
+ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_INF;
+ return DEC_CLASS_POS_INF;
+ }
+ // is finite
+ if (decNumberIsNormal(dn, set)) { // most common
+ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_NORMAL;
+ return DEC_CLASS_POS_NORMAL;
+ }
+ // is subnormal or zero
+ if (decNumberIsZero(dn)) { // most common
+ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_ZERO;
+ return DEC_CLASS_POS_ZERO;
+ }
+ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_SUBNORMAL;
+ return DEC_CLASS_POS_SUBNORMAL;
+ } // decNumberClass
+
+/* ------------------------------------------------------------------ */
+/* decNumberClassToString -- convert decClass to a string */
+/* */
+/* eclass is a valid decClass */
+/* returns a constant string describing the class (max 13+1 chars) */
+/* ------------------------------------------------------------------ */
+const char *decNumberClassToString(enum decClass eclass) {
+ if (eclass==DEC_CLASS_POS_NORMAL) return DEC_ClassString_PN;
+ if (eclass==DEC_CLASS_NEG_NORMAL) return DEC_ClassString_NN;
+ if (eclass==DEC_CLASS_POS_ZERO) return DEC_ClassString_PZ;
+ if (eclass==DEC_CLASS_NEG_ZERO) return DEC_ClassString_NZ;
+ if (eclass==DEC_CLASS_POS_SUBNORMAL) return DEC_ClassString_PS;
+ if (eclass==DEC_CLASS_NEG_SUBNORMAL) return DEC_ClassString_NS;
+ if (eclass==DEC_CLASS_POS_INF) return DEC_ClassString_PI;
+ if (eclass==DEC_CLASS_NEG_INF) return DEC_ClassString_NI;
+ if (eclass==DEC_CLASS_QNAN) return DEC_ClassString_QN;
+ if (eclass==DEC_CLASS_SNAN) return DEC_ClassString_SN;
+ return DEC_ClassString_UN; // Unknown
+ } // decNumberClassToString
+
+/* ------------------------------------------------------------------ */
+/* decNumberCopy -- copy a number */
+/* */
+/* dest is the target decNumber */
+/* src is the source decNumber */
+/* returns dest */
+/* */
+/* (dest==src is allowed and is a no-op) */
+/* All fields are updated as required. This is a utility operation, */
+/* so special values are unchanged and no error is possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCopy(decNumber *dest, const decNumber *src) {
+
+ #if DECCHECK
+ if (src==NULL) return decNumberZero(dest);
+ #endif
+
+ if (dest==src) return dest; // no copy required
+
+ // Use explicit assignments here as structure assignment could copy
+ // more than just the lsu (for small DECDPUN). This would not affect
+ // the value of the results, but could disturb test harness spill
+ // checking.
+ dest->bits=src->bits;
+ dest->exponent=src->exponent;
+ dest->digits=src->digits;
+ dest->lsu[0]=src->lsu[0];
+ if (src->digits>DECDPUN) { // more Units to come
+ const Unit *smsup, *s; // work
+ Unit *d; // ..
+ // memcpy for the remaining Units would be safe as they cannot
+ // overlap. However, this explicit loop is faster in short cases.
+ d=dest->lsu+1; // -> first destination
+ smsup=src->lsu+D2U(src->digits); // -> source msu+1
+ for (s=src->lsu+1; sdigits digits. */
+/* No exception or error can occur; this is a quiet bitwise operation.*/
+/* See also decNumberAbs for a checking version of this. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCopyAbs(decNumber *res, const decNumber *rhs) {
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, DECUNCONT)) return res;
+ #endif
+ decNumberCopy(res, rhs);
+ res->bits&=~DECNEG; // turn off sign
+ return res;
+ } // decNumberCopyAbs
+
+/* ------------------------------------------------------------------ */
+/* decNumberCopyNegate -- quiet negate value operator */
+/* */
+/* This sets C = negate(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* */
+/* C must have space for set->digits digits. */
+/* No exception or error can occur; this is a quiet bitwise operation.*/
+/* See also decNumberMinus for a checking version of this. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCopyNegate(decNumber *res, const decNumber *rhs) {
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, DECUNCONT)) return res;
+ #endif
+ decNumberCopy(res, rhs);
+ res->bits^=DECNEG; // invert the sign
+ return res;
+ } // decNumberCopyNegate
+
+/* ------------------------------------------------------------------ */
+/* decNumberCopySign -- quiet copy and set sign operator */
+/* */
+/* This sets C = A with the sign of B */
+/* */
+/* res is C, the result. C may be A */
+/* lhs is A */
+/* rhs is B */
+/* */
+/* C must have space for set->digits digits. */
+/* No exception or error can occur; this is a quiet bitwise operation.*/
+/* ------------------------------------------------------------------ */
+decNumber * decNumberCopySign(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs) {
+ uByte sign; // rhs sign
+ #if DECCHECK
+ if (decCheckOperands(res, DECUNUSED, rhs, DECUNCONT)) return res;
+ #endif
+ sign=rhs->bits & DECNEG; // save sign bit
+ decNumberCopy(res, lhs);
+ res->bits&=~DECNEG; // clear the sign
+ res->bits|=sign; // set from rhs
+ return res;
+ } // decNumberCopySign
+
+/* ------------------------------------------------------------------ */
+/* decNumberGetBCD -- get the coefficient in BCD8 */
+/* dn is the source decNumber */
+/* bcd is the uInt array that will receive dn->digits BCD bytes, */
+/* most-significant at offset 0 */
+/* returns bcd */
+/* */
+/* bcd must have at least dn->digits bytes. No error is possible; if */
+/* dn is a NaN or Infinite, digits must be 1 and the coefficient 0. */
+/* ------------------------------------------------------------------ */
+uByte * decNumberGetBCD(const decNumber *dn, uByte *bcd) {
+ uByte *ub=bcd+dn->digits-1; // -> lsd
+ const Unit *up=dn->lsu; // Unit pointer, -> lsu
+
+ #if DECDPUN==1 // trivial simple copy
+ for (; ub>=bcd; ub--, up++) *ub=*up;
+ #else // chopping needed
+ uInt u=*up; // work
+ uInt cut=DECDPUN; // downcounter through unit
+ for (; ub>=bcd; ub--) {
+ *ub=(uByte)(u%10); // [*6554 trick inhibits, here]
+ u=u/10;
+ cut--;
+ if (cut>0) continue; // more in this unit
+ up++;
+ u=*up;
+ cut=DECDPUN;
+ }
+ #endif
+ return bcd;
+ } // decNumberGetBCD
+
+/* ------------------------------------------------------------------ */
+/* decNumberSetBCD -- set (replace) the coefficient from BCD8 */
+/* dn is the target decNumber */
+/* bcd is the uInt array that will source n BCD bytes, most- */
+/* significant at offset 0 */
+/* n is the number of digits in the source BCD array (bcd) */
+/* returns dn */
+/* */
+/* dn must have space for at least n digits. No error is possible; */
+/* if dn is a NaN, or Infinite, or is to become a zero, n must be 1 */
+/* and bcd[0] zero. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberSetBCD(decNumber *dn, const uByte *bcd, uInt n) {
+ Unit *up=dn->lsu+D2U(dn->digits)-1; // -> msu [target pointer]
+ const uByte *ub=bcd; // -> source msd
+
+ #if DECDPUN==1 // trivial simple copy
+ for (; ub=dn->lsu; up--) { // each Unit from msu
+ *up=0; // will take <=DECDPUN digits
+ for (; cut>0; ub++, cut--) *up=X10(*up)+*ub;
+ cut=DECDPUN; // next Unit has all digits
+ }
+ #endif
+ dn->digits=n; // set digit count
+ return dn;
+ } // decNumberSetBCD
+
+/* ------------------------------------------------------------------ */
+/* decNumberIsNormal -- test normality of a decNumber */
+/* dn is the decNumber to test */
+/* set is the context to use for Emin */
+/* returns 1 if |dn| is finite and >=Nmin, 0 otherwise */
+/* ------------------------------------------------------------------ */
+Int decNumberIsNormal(const decNumber *dn, decContext *set) {
+ Int ae; // adjusted exponent
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, set)) return 0;
+ #endif
+
+ if (decNumberIsSpecial(dn)) return 0; // not finite
+ if (decNumberIsZero(dn)) return 0; // not non-zero
+
+ ae=dn->exponent+dn->digits-1; // adjusted exponent
+ if (aeemin) return 0; // is subnormal
+ return 1;
+ } // decNumberIsNormal
+
+/* ------------------------------------------------------------------ */
+/* decNumberIsSubnormal -- test subnormality of a decNumber */
+/* dn is the decNumber to test */
+/* set is the context to use for Emin */
+/* returns 1 if |dn| is finite, non-zero, and exponent+dn->digits-1; // adjusted exponent
+ if (aeemin) return 1; // is subnormal
+ return 0;
+ } // decNumberIsSubnormal
+
+/* ------------------------------------------------------------------ */
+/* decNumberTrim -- remove insignificant zeros */
+/* */
+/* dn is the number to trim */
+/* returns dn */
+/* */
+/* All fields are updated as required. This is a utility operation, */
+/* so special values are unchanged and no error is possible. The */
+/* zeros are removed unconditionally. */
+/* ------------------------------------------------------------------ */
+decNumber * decNumberTrim(decNumber *dn) {
+ Int dropped; // work
+ decContext set; // ..
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, DECUNCONT)) return dn;
+ #endif
+ decContextDefault(&set, DEC_INIT_BASE); // clamp=0
+ return decTrim(dn, &set, 0, 1, &dropped);
+ } // decNumberTrim
+
+/* ------------------------------------------------------------------ */
+/* decNumberVersion -- return the name and version of this module */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+const char * decNumberVersion(void) {
+ return DECVERSION;
+ } // decNumberVersion
+
+/* ------------------------------------------------------------------ */
+/* decNumberZero -- set a number to 0 */
+/* */
+/* dn is the number to set, with space for one digit */
+/* returns dn */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+// Memset is not used as it is much slower in some environments.
+decNumber * decNumberZero(decNumber *dn) {
+
+ #if DECCHECK
+ if (decCheckOperands(dn, DECUNUSED, DECUNUSED, DECUNCONT)) return dn;
+ #endif
+
+ dn->bits=0;
+ dn->exponent=0;
+ dn->digits=1;
+ dn->lsu[0]=0;
+ return dn;
+ } // decNumberZero
+
+/* ================================================================== */
+/* Local routines */
+/* ================================================================== */
+
+/* ------------------------------------------------------------------ */
+/* decToString -- lay out a number into a string */
+/* */
+/* dn is the number to lay out */
+/* string is where to lay out the number */
+/* eng is 1 if Engineering, 0 if Scientific */
+/* */
+/* string must be at least dn->digits+14 characters long */
+/* No error is possible. */
+/* */
+/* Note that this routine can generate a -0 or 0.000. These are */
+/* never generated in subset to-number or arithmetic, but can occur */
+/* in non-subset arithmetic (e.g., -1*0 or 1.234-1.234). */
+/* ------------------------------------------------------------------ */
+// If DECCHECK is enabled the string "?" is returned if a number is
+// invalid.
+static void decToString(const decNumber *dn, char *string, Flag eng) {
+ Int exp=dn->exponent; // local copy
+ Int e; // E-part value
+ Int pre; // digits before the '.'
+ Int cut; // for counting digits in a Unit
+ char *c=string; // work [output pointer]
+ const Unit *up=dn->lsu+D2U(dn->digits)-1; // -> msu [input pointer]
+ uInt u, pow; // work
+
+ #if DECCHECK
+ if (decCheckOperands(DECUNRESU, dn, DECUNUSED, DECUNCONT)) {
+ strcpy(string, "?");
+ return;}
+ #endif
+
+ if (decNumberIsNegative(dn)) { // Negatives get a minus
+ *c='-';
+ c++;
+ }
+ if (dn->bits&DECSPECIAL) { // Is a special value
+ if (decNumberIsInfinite(dn)) {
+ strcpy(c, "Inf");
+ strcpy(c+3, "inity");
+ return;}
+ // a NaN
+ if (dn->bits&DECSNAN) { // signalling NaN
+ *c='s';
+ c++;
+ }
+ strcpy(c, "NaN");
+ c+=3; // step past
+ // if not a clean non-zero coefficient, that's all there is in a
+ // NaN string
+ if (exp!=0 || (*dn->lsu==0 && dn->digits==1)) return;
+ // [drop through to add integer]
+ }
+
+ // calculate how many digits in msu, and hence first cut
+ cut=MSUDIGITS(dn->digits); // [faster than remainder]
+ cut--; // power of ten for digit
+
+ if (exp==0) { // simple integer [common fastpath]
+ for (;up>=dn->lsu; up--) { // each Unit from msu
+ u=*up; // contains DECDPUN digits to lay out
+ for (; cut>=0; c++, cut--) TODIGIT(u, cut, c, pow);
+ cut=DECDPUN-1; // next Unit has all digits
+ }
+ *c='\0'; // terminate the string
+ return;}
+
+ /* non-0 exponent -- assume plain form */
+ pre=dn->digits+exp; // digits before '.'
+ e=0; // no E
+ if ((exp>0) || (pre<-5)) { // need exponential form
+ e=exp+dn->digits-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ if (eng && (e!=0)) { // engineering: may need to adjust
+ Int adj; // adjustment
+ // The C remainder operator is undefined for negative numbers, so
+ // a positive remainder calculation must be used here
+ if (e<0) {
+ adj=(-e)%3;
+ if (adj!=0) adj=3-adj;
+ }
+ else { // e>0
+ adj=e%3;
+ }
+ e=e-adj;
+ // if dealing with zero still produce an exponent which is a
+ // multiple of three, as expected, but there will only be the
+ // one zero before the E, still. Otherwise note the padding.
+ if (!ISZERO(dn)) pre+=adj;
+ else { // is zero
+ if (adj!=0) { // 0.00Esnn needed
+ e=e+3;
+ pre=-(2-adj);
+ }
+ } // zero
+ } // eng
+ } // need exponent
+
+ /* lay out the digits of the coefficient, adding 0s and . as needed */
+ u=*up;
+ if (pre>0) { // xxx.xxx or xx00 (engineering) form
+ Int n=pre;
+ for (; pre>0; pre--, c++, cut--) {
+ if (cut<0) { // need new Unit
+ if (up==dn->lsu) break; // out of input digits (pre>digits)
+ up--;
+ cut=DECDPUN-1;
+ u=*up;
+ }
+ TODIGIT(u, cut, c, pow);
+ }
+ if (ndigits) { // more to come, after '.'
+ *c='.'; c++;
+ for (;; c++, cut--) {
+ if (cut<0) { // need new Unit
+ if (up==dn->lsu) break; // out of input digits
+ up--;
+ cut=DECDPUN-1;
+ u=*up;
+ }
+ TODIGIT(u, cut, c, pow);
+ }
+ }
+ else for (; pre>0; pre--, c++) *c='0'; // 0 padding (for engineering) needed
+ }
+ else { // 0.xxx or 0.000xxx form
+ *c='0'; c++;
+ *c='.'; c++;
+ for (; pre<0; pre++, c++) *c='0'; // add any 0's after '.'
+ for (; ; c++, cut--) {
+ if (cut<0) { // need new Unit
+ if (up==dn->lsu) break; // out of input digits
+ up--;
+ cut=DECDPUN-1;
+ u=*up;
+ }
+ TODIGIT(u, cut, c, pow);
+ }
+ }
+
+ /* Finally add the E-part, if needed. It will never be 0, has a
+ base maximum and minimum of +999999999 through -999999999, but
+ could range down to -1999999998 for anormal numbers */
+ if (e!=0) {
+ Flag had=0; // 1=had non-zero
+ *c='E'; c++;
+ *c='+'; c++; // assume positive
+ u=e; // ..
+ if (e<0) {
+ *(c-1)='-'; // oops, need -
+ u=-e; // uInt, please
+ }
+ // lay out the exponent [_itoa or equivalent is not ANSI C]
+ for (cut=9; cut>=0; cut--) {
+ TODIGIT(u, cut, c, pow);
+ if (*c=='0' && !had) continue; // skip leading zeros
+ had=1; // had non-0
+ c++; // step for next
+ } // cut
+ }
+ *c='\0'; // terminate the string (all paths)
+ return;
+ } // decToString
+
+/* ------------------------------------------------------------------ */
+/* decAddOp -- add/subtract operation */
+/* */
+/* This computes C = A + B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X+X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* negate is DECNEG if rhs should be negated, or 0 otherwise */
+/* status accumulates status for the caller */
+/* */
+/* C must have space for set->digits digits. */
+/* Inexact in status must be 0 for correct Exact zero sign in result */
+/* ------------------------------------------------------------------ */
+/* If possible, the coefficient is calculated directly into C. */
+/* However, if: */
+/* -- a digits+1 calculation is needed because the numbers are */
+/* unaligned and span more than set->digits digits */
+/* -- a carry to digits+1 digits looks possible */
+/* -- C is the same as A or B, and the result would destructively */
+/* overlap the A or B coefficient */
+/* then the result must be calculated into a temporary buffer. In */
+/* this case a local (stack) buffer is used if possible, and only if */
+/* too long for that does malloc become the final resort. */
+/* */
+/* Misalignment is handled as follows: */
+/* Apad: (AExp>BExp) Swap operands and proceed as for BExp>AExp. */
+/* BPad: Apply the padding by a combination of shifting (whole */
+/* units) and multiplication (part units). */
+/* */
+/* Addition, especially x=x+1, is speed-critical. */
+/* The static buffer is larger than might be expected to allow for */
+/* calls from higher-level funtions (notable exp). */
+/* ------------------------------------------------------------------ */
+static decNumber * decAddOp(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set,
+ uByte negate, uInt *status) {
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated
+ decNumber *allocrhs=NULL; // .., rhs
+ #endif
+ Int rhsshift; // working shift (in Units)
+ Int maxdigits; // longest logical length
+ Int mult; // multiplier
+ Int residue; // rounding accumulator
+ uByte bits; // result bits
+ Flag diffsign; // non-0 if arguments have different sign
+ Unit *acc; // accumulator for result
+ Unit accbuff[SD2U(DECBUFFER*2+20)]; // local buffer [*2+20 reduces many
+ // allocations when called from
+ // other operations, notable exp]
+ Unit *allocacc=NULL; // -> allocated acc buffer, iff allocated
+ Int reqdigits=set->digits; // local copy; requested DIGITS
+ Int padding; // work
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operands and set lostDigits status, as needed
+ if (lhs->digits>reqdigits) {
+ alloclhs=decRoundOperand(lhs, set, status);
+ if (alloclhs==NULL) break;
+ lhs=alloclhs;
+ }
+ if (rhs->digits>reqdigits) {
+ allocrhs=decRoundOperand(rhs, set, status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // note whether signs differ [used all paths]
+ diffsign=(Flag)((lhs->bits^rhs->bits^negate)&DECNEG);
+
+ // handle infinities and NaNs
+ if (SPECIALARGS) { // a special bit set
+ if (SPECIALARGS & (DECSNAN | DECNAN)) // a NaN
+ decNaNs(res, lhs, rhs, set, status);
+ else { // one or two infinities
+ if (decNumberIsInfinite(lhs)) { // LHS is infinity
+ // two infinities with different signs is invalid
+ if (decNumberIsInfinite(rhs) && diffsign) {
+ *status|=DEC_Invalid_operation;
+ break;
+ }
+ bits=lhs->bits & DECNEG; // get sign from LHS
+ }
+ else bits=(rhs->bits^negate) & DECNEG;// RHS must be Infinity
+ bits|=DECINF;
+ decNumberZero(res);
+ res->bits=bits; // set +/- infinity
+ } // an infinity
+ break;
+ }
+
+ // Quick exit for add 0s; return the non-0, modified as need be
+ if (ISZERO(lhs)) {
+ Int adjust; // work
+ Int lexp=lhs->exponent; // save in case LHS==RES
+ bits=lhs->bits; // ..
+ residue=0; // clear accumulator
+ decCopyFit(res, rhs, set, &residue, status); // copy (as needed)
+ res->bits^=negate; // flip if rhs was negated
+ #if DECSUBSET
+ if (set->extended) { // exponents on zeros count
+ #endif
+ // exponent will be the lower of the two
+ adjust=lexp-res->exponent; // adjustment needed [if -ve]
+ if (ISZERO(res)) { // both 0: special IEEE 754 rules
+ if (adjust<0) res->exponent=lexp; // set exponent
+ // 0-0 gives +0 unless rounding to -infinity, and -0-0 gives -0
+ if (diffsign) {
+ if (set->round!=DEC_ROUND_FLOOR) res->bits=0;
+ else res->bits=DECNEG; // preserve 0 sign
+ }
+ }
+ else { // non-0 res
+ if (adjust<0) { // 0-padding needed
+ if ((res->digits-adjust)>set->digits) {
+ adjust=res->digits-set->digits; // to fit exactly
+ *status|=DEC_Rounded; // [but exact]
+ }
+ res->digits=decShiftToMost(res->lsu, res->digits, -adjust);
+ res->exponent+=adjust; // set the exponent.
+ }
+ } // non-0 res
+ #if DECSUBSET
+ } // extended
+ #endif
+ decFinish(res, set, &residue, status); // clean and finalize
+ break;}
+
+ if (ISZERO(rhs)) { // [lhs is non-zero]
+ Int adjust; // work
+ Int rexp=rhs->exponent; // save in case RHS==RES
+ bits=rhs->bits; // be clean
+ residue=0; // clear accumulator
+ decCopyFit(res, lhs, set, &residue, status); // copy (as needed)
+ #if DECSUBSET
+ if (set->extended) { // exponents on zeros count
+ #endif
+ // exponent will be the lower of the two
+ // [0-0 case handled above]
+ adjust=rexp-res->exponent; // adjustment needed [if -ve]
+ if (adjust<0) { // 0-padding needed
+ if ((res->digits-adjust)>set->digits) {
+ adjust=res->digits-set->digits; // to fit exactly
+ *status|=DEC_Rounded; // [but exact]
+ }
+ res->digits=decShiftToMost(res->lsu, res->digits, -adjust);
+ res->exponent+=adjust; // set the exponent.
+ }
+ #if DECSUBSET
+ } // extended
+ #endif
+ decFinish(res, set, &residue, status); // clean and finalize
+ break;}
+
+ // [NB: both fastpath and mainpath code below assume these cases
+ // (notably 0-0) have already been handled]
+
+ // calculate the padding needed to align the operands
+ padding=rhs->exponent-lhs->exponent;
+
+ // Fastpath cases where the numbers are aligned and normal, the RHS
+ // is all in one unit, no operand rounding is needed, and no carry,
+ // lengthening, or borrow is needed
+ if (padding==0
+ && rhs->digits<=DECDPUN
+ && rhs->exponent>=set->emin // [some normals drop through]
+ && rhs->exponent<=set->emax-set->digits+1 // [could clamp]
+ && rhs->digits<=reqdigits
+ && lhs->digits<=reqdigits) {
+ Int partial=*lhs->lsu;
+ if (!diffsign) { // adding
+ partial+=*rhs->lsu;
+ if ((partial<=DECDPUNMAX) // result fits in unit
+ && (lhs->digits>=DECDPUN || // .. and no digits-count change
+ partial<(Int)powers[lhs->digits])) { // ..
+ if (res!=lhs) decNumberCopy(res, lhs); // not in place
+ *res->lsu=(Unit)partial; // [copy could have overwritten RHS]
+ break;
+ }
+ // else drop out for careful add
+ }
+ else { // signs differ
+ partial-=*rhs->lsu;
+ if (partial>0) { // no borrow needed, and non-0 result
+ if (res!=lhs) decNumberCopy(res, lhs); // not in place
+ *res->lsu=(Unit)partial;
+ // this could have reduced digits [but result>0]
+ res->digits=decGetDigits(res->lsu, D2U(res->digits));
+ break;
+ }
+ // else drop out for careful subtract
+ }
+ }
+
+ // Now align (pad) the lhs or rhs so they can be added or
+ // subtracted, as necessary. If one number is much larger than
+ // the other (that is, if in plain form there is a least one
+ // digit between the lowest digit of one and the highest of the
+ // other) padding with up to DIGITS-1 trailing zeros may be
+ // needed; then apply rounding (as exotic rounding modes may be
+ // affected by the residue).
+ rhsshift=0; // rhs shift to left (padding) in Units
+ bits=lhs->bits; // assume sign is that of LHS
+ mult=1; // likely multiplier
+
+ // [if padding==0 the operands are aligned; no padding is needed]
+ if (padding!=0) {
+ // some padding needed; always pad the RHS, as any required
+ // padding can then be effected by a simple combination of
+ // shifts and a multiply
+ Flag swapped=0;
+ if (padding<0) { // LHS needs the padding
+ const decNumber *t;
+ padding=-padding; // will be +ve
+ bits=(uByte)(rhs->bits^negate); // assumed sign is now that of RHS
+ t=lhs; lhs=rhs; rhs=t;
+ swapped=1;
+ }
+
+ // If, after pad, rhs would be longer than lhs by digits+1 or
+ // more then lhs cannot affect the answer, except as a residue,
+ // so only need to pad up to a length of DIGITS+1.
+ if (rhs->digits+padding > lhs->digits+reqdigits+1) {
+ // The RHS is sufficient
+ // for residue use the relative sign indication...
+ Int shift=reqdigits-rhs->digits; // left shift needed
+ residue=1; // residue for rounding
+ if (diffsign) residue=-residue; // signs differ
+ // copy, shortening if necessary
+ decCopyFit(res, rhs, set, &residue, status);
+ // if it was already shorter, then need to pad with zeros
+ if (shift>0) {
+ res->digits=decShiftToMost(res->lsu, res->digits, shift);
+ res->exponent-=shift; // adjust the exponent.
+ }
+ // flip the result sign if unswapped and rhs was negated
+ if (!swapped) res->bits^=negate;
+ decFinish(res, set, &residue, status); // done
+ break;}
+
+ // LHS digits may affect result
+ rhsshift=D2U(padding+1)-1; // this much by Unit shift ..
+ mult=powers[padding-(rhsshift*DECDPUN)]; // .. this by multiplication
+ } // padding needed
+
+ if (diffsign) mult=-mult; // signs differ
+
+ // determine the longer operand
+ maxdigits=rhs->digits+padding; // virtual length of RHS
+ if (lhs->digits>maxdigits) maxdigits=lhs->digits;
+
+ // Decide on the result buffer to use; if possible place directly
+ // into result.
+ acc=res->lsu; // assume add direct to result
+ // If destructive overlap, or the number is too long, or a carry or
+ // borrow to DIGITS+1 might be possible, a buffer must be used.
+ // [Might be worth more sophisticated tests when maxdigits==reqdigits]
+ if ((maxdigits>=reqdigits) // is, or could be, too large
+ || (res==rhs && rhsshift>0)) { // destructive overlap
+ // buffer needed, choose it; units for maxdigits digits will be
+ // needed, +1 Unit for carry or borrow
+ Int need=D2U(maxdigits)+1;
+ acc=accbuff; // assume use local buffer
+ if (need*sizeof(Unit)>sizeof(accbuff)) {
+ // printf("malloc add %ld %ld\n", need, sizeof(accbuff));
+ allocacc=(Unit *)malloc(need*sizeof(Unit));
+ if (allocacc==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ acc=allocacc;
+ }
+ }
+
+ res->bits=(uByte)(bits&DECNEG); // it's now safe to overwrite..
+ res->exponent=lhs->exponent; // .. operands (even if aliased)
+
+ #if DECTRACE
+ decDumpAr('A', lhs->lsu, D2U(lhs->digits));
+ decDumpAr('B', rhs->lsu, D2U(rhs->digits));
+ printf(" :h: %ld %ld\n", rhsshift, mult);
+ #endif
+
+ // add [A+B*m] or subtract [A+B*(-m)]
+ res->digits=decUnitAddSub(lhs->lsu, D2U(lhs->digits),
+ rhs->lsu, D2U(rhs->digits),
+ rhsshift, acc, mult)
+ *DECDPUN; // [units -> digits]
+ if (res->digits<0) { // borrowed...
+ res->digits=-res->digits;
+ res->bits^=DECNEG; // flip the sign
+ }
+ #if DECTRACE
+ decDumpAr('+', acc, D2U(res->digits));
+ #endif
+
+ // If a buffer was used the result must be copied back, possibly
+ // shortening. (If no buffer was used then the result must have
+ // fit, so can't need rounding and residue must be 0.)
+ residue=0; // clear accumulator
+ if (acc!=res->lsu) {
+ #if DECSUBSET
+ if (set->extended) { // round from first significant digit
+ #endif
+ // remove leading zeros that were added due to rounding up to
+ // integral Units -- before the test for rounding.
+ if (res->digits>reqdigits)
+ res->digits=decGetDigits(acc, D2U(res->digits));
+ decSetCoeff(res, set, acc, res->digits, &residue, status);
+ #if DECSUBSET
+ }
+ else { // subset arithmetic rounds from original significant digit
+ // May have an underestimate. This only occurs when both
+ // numbers fit in DECDPUN digits and are padding with a
+ // negative multiple (-10, -100...) and the top digit(s) become
+ // 0. (This only matters when using X3.274 rules where the
+ // leading zero could be included in the rounding.)
+ if (res->digitsdigits))=0; // ensure leading 0 is there
+ res->digits=maxdigits;
+ }
+ else {
+ // remove leading zeros that added due to rounding up to
+ // integral Units (but only those in excess of the original
+ // maxdigits length, unless extended) before test for rounding.
+ if (res->digits>reqdigits) {
+ res->digits=decGetDigits(acc, D2U(res->digits));
+ if (res->digitsdigits=maxdigits;
+ }
+ }
+ decSetCoeff(res, set, acc, res->digits, &residue, status);
+ // Now apply rounding if needed before removing leading zeros.
+ // This is safe because subnormals are not a possibility
+ if (residue!=0) {
+ decApplyRound(res, set, residue, status);
+ residue=0; // did what needed to be done
+ }
+ } // subset
+ #endif
+ } // used buffer
+
+ // strip leading zeros [these were left on in case of subset subtract]
+ res->digits=decGetDigits(res->lsu, D2U(res->digits));
+
+ // apply checks and rounding
+ decFinish(res, set, &residue, status);
+
+ // "When the sum of two operands with opposite signs is exactly
+ // zero, the sign of that sum shall be '+' in all rounding modes
+ // except round toward -Infinity, in which mode that sign shall be
+ // '-'." [Subset zeros also never have '-', set by decFinish.]
+ if (ISZERO(res) && diffsign
+ #if DECSUBSET
+ && set->extended
+ #endif
+ && (*status&DEC_Inexact)==0) {
+ if (set->round==DEC_ROUND_FLOOR) res->bits|=DECNEG; // sign -
+ else res->bits&=~DECNEG; // sign +
+ }
+ } while(0); // end protected
+
+ if (allocacc!=NULL) free(allocacc); // drop any storage used
+ #if DECSUBSET
+ if (allocrhs!=NULL) free(allocrhs); // ..
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ #endif
+ return res;
+ } // decAddOp
+
+/* ------------------------------------------------------------------ */
+/* decDivideOp -- division operation */
+/* */
+/* This routine performs the calculations for all four division */
+/* operators (divide, divideInteger, remainder, remainderNear). */
+/* */
+/* C=A op B */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X/X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* op is DIVIDE, DIVIDEINT, REMAINDER, or REMNEAR respectively. */
+/* status is the usual accumulator */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* ------------------------------------------------------------------ */
+/* The underlying algorithm of this routine is the same as in the */
+/* 1981 S/370 implementation, that is, non-restoring long division */
+/* with bi-unit (rather than bi-digit) estimation for each unit */
+/* multiplier. In this pseudocode overview, complications for the */
+/* Remainder operators and division residues for exact rounding are */
+/* omitted for clarity. */
+/* */
+/* Prepare operands and handle special values */
+/* Test for x/0 and then 0/x */
+/* Exp =Exp1 - Exp2 */
+/* Exp =Exp +len(var1) -len(var2) */
+/* Sign=Sign1 * Sign2 */
+/* Pad accumulator (Var1) to double-length with 0's (pad1) */
+/* Pad Var2 to same length as Var1 */
+/* msu2pair/plus=1st 2 or 1 units of var2, +1 to allow for round */
+/* have=0 */
+/* Do until (have=digits+1 OR residue=0) */
+/* if exp<0 then if integer divide/residue then leave */
+/* this_unit=0 */
+/* Do forever */
+/* compare numbers */
+/* if <0 then leave inner_loop */
+/* if =0 then (* quick exit without subtract *) do */
+/* this_unit=this_unit+1; output this_unit */
+/* leave outer_loop; end */
+/* Compare lengths of numbers (mantissae): */
+/* If same then tops2=msu2pair -- {units 1&2 of var2} */
+/* else tops2=msu2plus -- {0, unit 1 of var2} */
+/* tops1=first_unit_of_Var1*10**DECDPUN +second_unit_of_var1 */
+/* mult=tops1/tops2 -- Good and safe guess at divisor */
+/* if mult=0 then mult=1 */
+/* this_unit=this_unit+mult */
+/* subtract */
+/* end inner_loop */
+/* if have\=0 | this_unit\=0 then do */
+/* output this_unit */
+/* have=have+1; end */
+/* var2=var2/10 */
+/* exp=exp-1 */
+/* end outer_loop */
+/* exp=exp+1 -- set the proper exponent */
+/* if have=0 then generate answer=0 */
+/* Return (Result is defined by Var1) */
+/* */
+/* ------------------------------------------------------------------ */
+/* Two working buffers are needed during the division; one (digits+ */
+/* 1) to accumulate the result, and the other (up to 2*digits+1) for */
+/* long subtractions. These are acc and var1 respectively. */
+/* var1 is a copy of the lhs coefficient, var2 is the rhs coefficient.*/
+/* The static buffers may be larger than might be expected to allow */
+/* for calls from higher-level funtions (notable exp). */
+/* ------------------------------------------------------------------ */
+static decNumber * decDivideOp(decNumber *res,
+ const decNumber *lhs, const decNumber *rhs,
+ decContext *set, Flag op, uInt *status) {
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated
+ decNumber *allocrhs=NULL; // .., rhs
+ #endif
+ Unit accbuff[SD2U(DECBUFFER+DECDPUN+10)]; // local buffer
+ Unit *acc=accbuff; // -> accumulator array for result
+ Unit *allocacc=NULL; // -> allocated buffer, iff allocated
+ Unit *accnext; // -> where next digit will go
+ Int acclength; // length of acc needed [Units]
+ Int accunits; // count of units accumulated
+ Int accdigits; // count of digits accumulated
+
+ Unit varbuff[SD2U(DECBUFFER*2+DECDPUN)]; // buffer for var1
+ Unit *var1=varbuff; // -> var1 array for long subtraction
+ Unit *varalloc=NULL; // -> allocated buffer, iff used
+ Unit *msu1; // -> msu of var1
+
+ const Unit *var2; // -> var2 array
+ const Unit *msu2; // -> msu of var2
+ Int msu2plus; // msu2 plus one [does not vary]
+ eInt msu2pair; // msu2 pair plus one [does not vary]
+
+ Int var1units, var2units; // actual lengths
+ Int var2ulen; // logical length (units)
+ Int var1initpad=0; // var1 initial padding (digits)
+ Int maxdigits; // longest LHS or required acc length
+ Int mult; // multiplier for subtraction
+ Unit thisunit; // current unit being accumulated
+ Int residue; // for rounding
+ Int reqdigits=set->digits; // requested DIGITS
+ Int exponent; // working exponent
+ Int maxexponent=0; // DIVIDE maximum exponent if unrounded
+ uByte bits; // working sign
+ Unit *target; // work
+ const Unit *source; // ..
+ uInt const *pow; // ..
+ Int shift, cut; // ..
+ #if DECSUBSET
+ Int dropped; // work
+ #endif
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operands and set lostDigits status, as needed
+ if (lhs->digits>reqdigits) {
+ alloclhs=decRoundOperand(lhs, set, status);
+ if (alloclhs==NULL) break;
+ lhs=alloclhs;
+ }
+ if (rhs->digits>reqdigits) {
+ allocrhs=decRoundOperand(rhs, set, status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ bits=(lhs->bits^rhs->bits)&DECNEG; // assumed sign for divisions
+
+ // handle infinities and NaNs
+ if (SPECIALARGS) { // a special bit set
+ if (SPECIALARGS & (DECSNAN | DECNAN)) { // one or two NaNs
+ decNaNs(res, lhs, rhs, set, status);
+ break;
+ }
+ // one or two infinities
+ if (decNumberIsInfinite(lhs)) { // LHS (dividend) is infinite
+ if (decNumberIsInfinite(rhs) || // two infinities are invalid ..
+ op & (REMAINDER | REMNEAR)) { // as is remainder of infinity
+ *status|=DEC_Invalid_operation;
+ break;
+ }
+ // [Note that infinity/0 raises no exceptions]
+ decNumberZero(res);
+ res->bits=bits|DECINF; // set +/- infinity
+ break;
+ }
+ else { // RHS (divisor) is infinite
+ residue=0;
+ if (op&(REMAINDER|REMNEAR)) {
+ // result is [finished clone of] lhs
+ decCopyFit(res, lhs, set, &residue, status);
+ }
+ else { // a division
+ decNumberZero(res);
+ res->bits=bits; // set +/- zero
+ // for DIVIDEINT the exponent is always 0. For DIVIDE, result
+ // is a 0 with infinitely negative exponent, clamped to minimum
+ if (op&DIVIDE) {
+ res->exponent=set->emin-set->digits+1;
+ *status|=DEC_Clamped;
+ }
+ }
+ decFinish(res, set, &residue, status);
+ break;
+ }
+ }
+
+ // handle 0 rhs (x/0)
+ if (ISZERO(rhs)) { // x/0 is always exceptional
+ if (ISZERO(lhs)) {
+ decNumberZero(res); // [after lhs test]
+ *status|=DEC_Division_undefined;// 0/0 will become NaN
+ }
+ else {
+ decNumberZero(res);
+ if (op&(REMAINDER|REMNEAR)) *status|=DEC_Invalid_operation;
+ else {
+ *status|=DEC_Division_by_zero; // x/0
+ res->bits=bits|DECINF; // .. is +/- Infinity
+ }
+ }
+ break;}
+
+ // handle 0 lhs (0/x)
+ if (ISZERO(lhs)) { // 0/x [x!=0]
+ #if DECSUBSET
+ if (!set->extended) decNumberZero(res);
+ else {
+ #endif
+ if (op&DIVIDE) {
+ residue=0;
+ exponent=lhs->exponent-rhs->exponent; // ideal exponent
+ decNumberCopy(res, lhs); // [zeros always fit]
+ res->bits=bits; // sign as computed
+ res->exponent=exponent; // exponent, too
+ decFinalize(res, set, &residue, status); // check exponent
+ }
+ else if (op&DIVIDEINT) {
+ decNumberZero(res); // integer 0
+ res->bits=bits; // sign as computed
+ }
+ else { // a remainder
+ exponent=rhs->exponent; // [save in case overwrite]
+ decNumberCopy(res, lhs); // [zeros always fit]
+ if (exponentexponent) res->exponent=exponent; // use lower
+ }
+ #if DECSUBSET
+ }
+ #endif
+ break;}
+
+ // Precalculate exponent. This starts off adjusted (and hence fits
+ // in 31 bits) and becomes the usual unadjusted exponent as the
+ // division proceeds. The order of evaluation is important, here,
+ // to avoid wrap.
+ exponent=(lhs->exponent+lhs->digits)-(rhs->exponent+rhs->digits);
+
+ // If the working exponent is -ve, then some quick exits are
+ // possible because the quotient is known to be <1
+ // [for REMNEAR, it needs to be < -1, as -0.5 could need work]
+ if (exponent<0 && !(op==DIVIDE)) {
+ if (op&DIVIDEINT) {
+ decNumberZero(res); // integer part is 0
+ #if DECSUBSET
+ if (set->extended)
+ #endif
+ res->bits=bits; // set +/- zero
+ break;}
+ // fastpath remainders so long as the lhs has the smaller
+ // (or equal) exponent
+ if (lhs->exponent<=rhs->exponent) {
+ if (op&REMAINDER || exponent<-1) {
+ // It is REMAINDER or safe REMNEAR; result is [finished
+ // clone of] lhs (r = x - 0*y)
+ residue=0;
+ decCopyFit(res, lhs, set, &residue, status);
+ decFinish(res, set, &residue, status);
+ break;
+ }
+ // [unsafe REMNEAR drops through]
+ }
+ } // fastpaths
+
+ /* Long (slow) division is needed; roll up the sleeves... */
+
+ // The accumulator will hold the quotient of the division.
+ // If it needs to be too long for stack storage, then allocate.
+ acclength=D2U(reqdigits+DECDPUN); // in Units
+ if (acclength*sizeof(Unit)>sizeof(accbuff)) {
+ // printf("malloc dvacc %ld units\n", acclength);
+ allocacc=(Unit *)malloc(acclength*sizeof(Unit));
+ if (allocacc==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ acc=allocacc; // use the allocated space
+ }
+
+ // var1 is the padded LHS ready for subtractions.
+ // If it needs to be too long for stack storage, then allocate.
+ // The maximum units needed for var1 (long subtraction) is:
+ // Enough for
+ // (rhs->digits+reqdigits-1) -- to allow full slide to right
+ // or (lhs->digits) -- to allow for long lhs
+ // whichever is larger
+ // +1 -- for rounding of slide to right
+ // +1 -- for leading 0s
+ // +1 -- for pre-adjust if a remainder or DIVIDEINT
+ // [Note: unused units do not participate in decUnitAddSub data]
+ maxdigits=rhs->digits+reqdigits-1;
+ if (lhs->digits>maxdigits) maxdigits=lhs->digits;
+ var1units=D2U(maxdigits)+2;
+ // allocate a guard unit above msu1 for REMAINDERNEAR
+ if (!(op&DIVIDE)) var1units++;
+ if ((var1units+1)*sizeof(Unit)>sizeof(varbuff)) {
+ // printf("malloc dvvar %ld units\n", var1units+1);
+ varalloc=(Unit *)malloc((var1units+1)*sizeof(Unit));
+ if (varalloc==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ var1=varalloc; // use the allocated space
+ }
+
+ // Extend the lhs and rhs to full long subtraction length. The lhs
+ // is truly extended into the var1 buffer, with 0 padding, so a
+ // subtract in place is always possible. The rhs (var2) has
+ // virtual padding (implemented by decUnitAddSub).
+ // One guard unit was allocated above msu1 for rem=rem+rem in
+ // REMAINDERNEAR.
+ msu1=var1+var1units-1; // msu of var1
+ source=lhs->lsu+D2U(lhs->digits)-1; // msu of input array
+ for (target=msu1; source>=lhs->lsu; source--, target--) *target=*source;
+ for (; target>=var1; target--) *target=0;
+
+ // rhs (var2) is left-aligned with var1 at the start
+ var2ulen=var1units; // rhs logical length (units)
+ var2units=D2U(rhs->digits); // rhs actual length (units)
+ var2=rhs->lsu; // -> rhs array
+ msu2=var2+var2units-1; // -> msu of var2 [never changes]
+ // now set up the variables which will be used for estimating the
+ // multiplication factor. If these variables are not exact, add
+ // 1 to make sure that the multiplier is never overestimated.
+ msu2plus=*msu2; // it's value ..
+ if (var2units>1) msu2plus++; // .. +1 if any more
+ msu2pair=(eInt)*msu2*(DECDPUNMAX+1);// top two pair ..
+ if (var2units>1) { // .. [else treat 2nd as 0]
+ msu2pair+=*(msu2-1); // ..
+ if (var2units>2) msu2pair++; // .. +1 if any more
+ }
+
+ // The calculation is working in units, which may have leading zeros,
+ // but the exponent was calculated on the assumption that they are
+ // both left-aligned. Adjust the exponent to compensate: add the
+ // number of leading zeros in var1 msu and subtract those in var2 msu.
+ // [This is actually done by counting the digits and negating, as
+ // lead1=DECDPUN-digits1, and similarly for lead2.]
+ for (pow=&powers[1]; *msu1>=*pow; pow++) exponent--;
+ for (pow=&powers[1]; *msu2>=*pow; pow++) exponent++;
+
+ // Now, if doing an integer divide or remainder, ensure that
+ // the result will be Unit-aligned. To do this, shift the var1
+ // accumulator towards least if need be. (It's much easier to
+ // do this now than to reassemble the residue afterwards, if
+ // doing a remainder.) Also ensure the exponent is not negative.
+ if (!(op&DIVIDE)) {
+ Unit *u; // work
+ // save the initial 'false' padding of var1, in digits
+ var1initpad=(var1units-D2U(lhs->digits))*DECDPUN;
+ // Determine the shift to do.
+ if (exponent<0) cut=-exponent;
+ else cut=DECDPUN-exponent%DECDPUN;
+ decShiftToLeast(var1, var1units, cut);
+ exponent+=cut; // maintain numerical value
+ var1initpad-=cut; // .. and reduce padding
+ // clean any most-significant units which were just emptied
+ for (u=msu1; cut>=DECDPUN; cut-=DECDPUN, u--) *u=0;
+ } // align
+ else { // is DIVIDE
+ maxexponent=lhs->exponent-rhs->exponent; // save
+ // optimization: if the first iteration will just produce 0,
+ // preadjust to skip it [valid for DIVIDE only]
+ if (*msu1<*msu2) {
+ var2ulen--; // shift down
+ exponent-=DECDPUN; // update the exponent
+ }
+ }
+
+ // ---- start the long-division loops ------------------------------
+ accunits=0; // no units accumulated yet
+ accdigits=0; // .. or digits
+ accnext=acc+acclength-1; // -> msu of acc [NB: allows digits+1]
+ for (;;) { // outer forever loop
+ thisunit=0; // current unit assumed 0
+ // find the next unit
+ for (;;) { // inner forever loop
+ // strip leading zero units [from either pre-adjust or from
+ // subtract last time around]. Leave at least one unit.
+ for (; *msu1==0 && msu1>var1; msu1--) var1units--;
+
+ if (var1units msu
+ for (pv1=msu1; ; pv1--, pv2--) {
+ // v1=*pv1 -- always OK
+ v2=0; // assume in padding
+ if (pv2>=var2) v2=*pv2; // in range
+ if (*pv1!=v2) break; // no longer the same
+ if (pv1==var1) break; // done; leave pv1 as is
+ }
+ // here when all inspected or a difference seen
+ if (*pv1v2. Prepare for real subtraction; the lengths are equal
+ // Estimate the multiplier (there's always a msu1-1)...
+ // Bring in two units of var2 to provide a good estimate.
+ mult=(Int)(((eInt)*msu1*(DECDPUNMAX+1)+*(msu1-1))/msu2pair);
+ } // lengths the same
+ else { // var1units > var2ulen, so subtraction is safe
+ // The var2 msu is one unit towards the lsu of the var1 msu,
+ // so only one unit for var2 can be used.
+ mult=(Int)(((eInt)*msu1*(DECDPUNMAX+1)+*(msu1-1))/msu2plus);
+ }
+ if (mult==0) mult=1; // must always be at least 1
+ // subtraction needed; var1 is > var2
+ thisunit=(Unit)(thisunit+mult); // accumulate
+ // subtract var1-var2, into var1; only the overlap needs
+ // processing, as this is an in-place calculation
+ shift=var2ulen-var2units;
+ #if DECTRACE
+ decDumpAr('1', &var1[shift], var1units-shift);
+ decDumpAr('2', var2, var2units);
+ printf("m=%ld\n", -mult);
+ #endif
+ decUnitAddSub(&var1[shift], var1units-shift,
+ var2, var2units, 0,
+ &var1[shift], -mult);
+ #if DECTRACE
+ decDumpAr('#', &var1[shift], var1units-shift);
+ #endif
+ // var1 now probably has leading zeros; these are removed at the
+ // top of the inner loop.
+ } // inner loop
+
+ // The next unit has been calculated in full; unless it's a
+ // leading zero, add to acc
+ if (accunits!=0 || thisunit!=0) { // is first or non-zero
+ *accnext=thisunit; // store in accumulator
+ // account exactly for the new digits
+ if (accunits==0) {
+ accdigits++; // at least one
+ for (pow=&powers[1]; thisunit>=*pow; pow++) accdigits++;
+ }
+ else accdigits+=DECDPUN;
+ accunits++; // update count
+ accnext--; // ready for next
+ if (accdigits>reqdigits) break; // have enough digits
+ }
+
+ // if the residue is zero, the operation is done (unless divide
+ // or divideInteger and still not enough digits yet)
+ if (*var1==0 && var1units==1) { // residue is 0
+ if (op&(REMAINDER|REMNEAR)) break;
+ if ((op&DIVIDE) && (exponent<=maxexponent)) break;
+ // [drop through if divideInteger]
+ }
+ // also done enough if calculating remainder or integer
+ // divide and just did the last ('units') unit
+ if (exponent==0 && !(op&DIVIDE)) break;
+
+ // to get here, var1 is less than var2, so divide var2 by the per-
+ // Unit power of ten and go for the next digit
+ var2ulen--; // shift down
+ exponent-=DECDPUN; // update the exponent
+ } // outer loop
+
+ // ---- division is complete ---------------------------------------
+ // here: acc has at least reqdigits+1 of good results (or fewer
+ // if early stop), starting at accnext+1 (its lsu)
+ // var1 has any residue at the stopping point
+ // accunits is the number of digits collected in acc
+ if (accunits==0) { // acc is 0
+ accunits=1; // show have a unit ..
+ accdigits=1; // ..
+ *accnext=0; // .. whose value is 0
+ }
+ else accnext++; // back to last placed
+ // accnext now -> lowest unit of result
+
+ residue=0; // assume no residue
+ if (op&DIVIDE) {
+ // record the presence of any residue, for rounding
+ if (*var1!=0 || var1units>1) residue=1;
+ else { // no residue
+ // Had an exact division; clean up spurious trailing 0s.
+ // There will be at most DECDPUN-1, from the final multiply,
+ // and then only if the result is non-0 (and even) and the
+ // exponent is 'loose'.
+ #if DECDPUN>1
+ Unit lsu=*accnext;
+ if (!(lsu&0x01) && (lsu!=0)) {
+ // count the trailing zeros
+ Int drop=0;
+ for (;; drop++) { // [will terminate because lsu!=0]
+ if (exponent>=maxexponent) break; // don't chop real 0s
+ #if DECDPUN<=4
+ if ((lsu-QUOT10(lsu, drop+1)
+ *powers[drop+1])!=0) break; // found non-0 digit
+ #else
+ if (lsu%powers[drop+1]!=0) break; // found non-0 digit
+ #endif
+ exponent++;
+ }
+ if (drop>0) {
+ accunits=decShiftToLeast(accnext, accunits, drop);
+ accdigits=decGetDigits(accnext, accunits);
+ accunits=D2U(accdigits);
+ // [exponent was adjusted in the loop]
+ }
+ } // neither odd nor 0
+ #endif
+ } // exact divide
+ } // divide
+ else /* op!=DIVIDE */ {
+ // check for coefficient overflow
+ if (accdigits+exponent>reqdigits) {
+ *status|=DEC_Division_impossible;
+ break;
+ }
+ if (op & (REMAINDER|REMNEAR)) {
+ // [Here, the exponent will be 0, because var1 was adjusted
+ // appropriately.]
+ Int postshift; // work
+ Flag wasodd=0; // integer was odd
+ Unit *quotlsu; // for save
+ Int quotdigits; // ..
+
+ bits=lhs->bits; // remainder sign is always as lhs
+
+ // Fastpath when residue is truly 0 is worthwhile [and
+ // simplifies the code below]
+ if (*var1==0 && var1units==1) { // residue is 0
+ Int exp=lhs->exponent; // save min(exponents)
+ if (rhs->exponentexponent;
+ decNumberZero(res); // 0 coefficient
+ #if DECSUBSET
+ if (set->extended)
+ #endif
+ res->exponent=exp; // .. with proper exponent
+ res->bits=(uByte)(bits&DECNEG); // [cleaned]
+ decFinish(res, set, &residue, status); // might clamp
+ break;
+ }
+ // note if the quotient was odd
+ if (*accnext & 0x01) wasodd=1; // acc is odd
+ quotlsu=accnext; // save in case need to reinspect
+ quotdigits=accdigits; // ..
+
+ // treat the residue, in var1, as the value to return, via acc
+ // calculate the unused zero digits. This is the smaller of:
+ // var1 initial padding (saved above)
+ // var2 residual padding, which happens to be given by:
+ postshift=var1initpad+exponent-lhs->exponent+rhs->exponent;
+ // [the 'exponent' term accounts for the shifts during divide]
+ if (var1initpadexponent; // exponent is smaller of lhs & rhs
+ if (rhs->exponentexponent;
+
+ // Now correct the result if doing remainderNear; if it
+ // (looking just at coefficients) is > rhs/2, or == rhs/2 and
+ // the integer was odd then the result should be rem-rhs.
+ if (op&REMNEAR) {
+ Int compare, tarunits; // work
+ Unit *up; // ..
+ // calculate remainder*2 into the var1 buffer (which has
+ // 'headroom' of an extra unit and hence enough space)
+ // [a dedicated 'double' loop would be faster, here]
+ tarunits=decUnitAddSub(accnext, accunits, accnext, accunits,
+ 0, accnext, 1);
+ // decDumpAr('r', accnext, tarunits);
+
+ // Here, accnext (var1) holds tarunits Units with twice the
+ // remainder's coefficient, which must now be compared to the
+ // RHS. The remainder's exponent may be smaller than the RHS's.
+ compare=decUnitCompare(accnext, tarunits, rhs->lsu, D2U(rhs->digits),
+ rhs->exponent-exponent);
+ if (compare==BADINT) { // deep trouble
+ *status|=DEC_Insufficient_storage;
+ break;}
+
+ // now restore the remainder by dividing by two; the lsu
+ // is known to be even.
+ for (up=accnext; up0 || (compare==0 && wasodd)) { // adjustment needed
+ Int exp, expunits, exprem; // work
+ // This is effectively causing round-up of the quotient,
+ // so if it was the rare case where it was full and all
+ // nines, it would overflow and hence division-impossible
+ // should be raised
+ Flag allnines=0; // 1 if quotient all nines
+ if (quotdigits==reqdigits) { // could be borderline
+ for (up=quotlsu; ; up++) {
+ if (quotdigits>DECDPUN) {
+ if (*up!=DECDPUNMAX) break;// non-nines
+ }
+ else { // this is the last Unit
+ if (*up==powers[quotdigits]-1) allnines=1;
+ break;
+ }
+ quotdigits-=DECDPUN; // checked those digits
+ } // up
+ } // borderline check
+ if (allnines) {
+ *status|=DEC_Division_impossible;
+ break;}
+
+ // rem-rhs is needed; the sign will invert. Again, var1
+ // can safely be used for the working Units array.
+ exp=rhs->exponent-exponent; // RHS padding needed
+ // Calculate units and remainder from exponent.
+ expunits=exp/DECDPUN;
+ exprem=exp%DECDPUN;
+ // subtract [A+B*(-m)]; the result will always be negative
+ accunits=-decUnitAddSub(accnext, accunits,
+ rhs->lsu, D2U(rhs->digits),
+ expunits, accnext, -(Int)powers[exprem]);
+ accdigits=decGetDigits(accnext, accunits); // count digits exactly
+ accunits=D2U(accdigits); // and recalculate the units for copy
+ // [exponent is as for original remainder]
+ bits^=DECNEG; // flip the sign
+ }
+ } // REMNEAR
+ } // REMAINDER or REMNEAR
+ } // not DIVIDE
+
+ // Set exponent and bits
+ res->exponent=exponent;
+ res->bits=(uByte)(bits&DECNEG); // [cleaned]
+
+ // Now the coefficient.
+ decSetCoeff(res, set, accnext, accdigits, &residue, status);
+
+ decFinish(res, set, &residue, status); // final cleanup
+
+ #if DECSUBSET
+ // If a divide then strip trailing zeros if subset [after round]
+ if (!set->extended && (op==DIVIDE)) decTrim(res, set, 0, 1, &dropped);
+ #endif
+ } while(0); // end protected
+
+ if (varalloc!=NULL) free(varalloc); // drop any storage used
+ if (allocacc!=NULL) free(allocacc); // ..
+ #if DECSUBSET
+ if (allocrhs!=NULL) free(allocrhs); // ..
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ #endif
+ return res;
+ } // decDivideOp
+
+/* ------------------------------------------------------------------ */
+/* decMultiplyOp -- multiplication operation */
+/* */
+/* This routine performs the multiplication C=A x B. */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X*X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* status is the usual accumulator */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* ------------------------------------------------------------------ */
+/* 'Classic' multiplication is used rather than Karatsuba, as the */
+/* latter would give only a minor improvement for the short numbers */
+/* expected to be handled most (and uses much more memory). */
+/* */
+/* There are two major paths here: the general-purpose ('old code') */
+/* path which handles all DECDPUN values, and a fastpath version */
+/* which is used if 64-bit ints are available, DECDPUN<=4, and more */
+/* than two calls to decUnitAddSub would be made. */
+/* */
+/* The fastpath version lumps units together into 8-digit or 9-digit */
+/* chunks, and also uses a lazy carry strategy to minimise expensive */
+/* 64-bit divisions. The chunks are then broken apart again into */
+/* units for continuing processing. Despite this overhead, the */
+/* fastpath can speed up some 16-digit operations by 10x (and much */
+/* more for higher-precision calculations). */
+/* */
+/* A buffer always has to be used for the accumulator; in the */
+/* fastpath, buffers are also always needed for the chunked copies of */
+/* of the operand coefficients. */
+/* Static buffers are larger than needed just for multiply, to allow */
+/* for calls from other operations (notably exp). */
+/* ------------------------------------------------------------------ */
+#define FASTMUL (DECUSE64 && DECDPUN<5)
+static decNumber * decMultiplyOp(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set,
+ uInt *status) {
+ Int accunits; // Units of accumulator in use
+ Int exponent; // work
+ Int residue=0; // rounding residue
+ uByte bits; // result sign
+ Unit *acc; // -> accumulator Unit array
+ Int needbytes; // size calculator
+ void *allocacc=NULL; // -> allocated accumulator, iff allocated
+ Unit accbuff[SD2U(DECBUFFER*4+1)]; // buffer (+1 for DECBUFFER==0,
+ // *4 for calls from other operations)
+ const Unit *mer, *mermsup; // work
+ Int madlength; // Units in multiplicand
+ Int shift; // Units to shift multiplicand by
+
+ #if FASTMUL
+ // if DECDPUN is 1 or 3 work in base 10**9, otherwise
+ // (DECDPUN is 2 or 4) then work in base 10**8
+ #if DECDPUN & 1 // odd
+ #define FASTBASE 1000000000 // base
+ #define FASTDIGS 9 // digits in base
+ #define FASTLAZY 18 // carry resolution point [1->18]
+ #else
+ #define FASTBASE 100000000
+ #define FASTDIGS 8
+ #define FASTLAZY 1844 // carry resolution point [1->1844]
+ #endif
+ // three buffers are used, two for chunked copies of the operands
+ // (base 10**8 or base 10**9) and one base 2**64 accumulator with
+ // lazy carry evaluation
+ uInt zlhibuff[(DECBUFFER*2+1)/8+1]; // buffer (+1 for DECBUFFER==0)
+ uInt *zlhi=zlhibuff; // -> lhs array
+ uInt *alloclhi=NULL; // -> allocated buffer, iff allocated
+ uInt zrhibuff[(DECBUFFER*2+1)/8+1]; // buffer (+1 for DECBUFFER==0)
+ uInt *zrhi=zrhibuff; // -> rhs array
+ uInt *allocrhi=NULL; // -> allocated buffer, iff allocated
+ uLong zaccbuff[(DECBUFFER*2+1)/4+2]; // buffer (+1 for DECBUFFER==0)
+ // [allocacc is shared for both paths, as only one will run]
+ uLong *zacc=zaccbuff; // -> accumulator array for exact result
+ #if DECDPUN==1
+ Int zoff; // accumulator offset
+ #endif
+ uInt *lip, *rip; // item pointers
+ uInt *lmsi, *rmsi; // most significant items
+ Int ilhs, irhs, iacc; // item counts in the arrays
+ Int lazy; // lazy carry counter
+ uLong lcarry; // uLong carry
+ uInt carry; // carry (NB not uLong)
+ Int count; // work
+ const Unit *cup; // ..
+ Unit *up; // ..
+ uLong *lp; // ..
+ Int p; // ..
+ #endif
+
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // -> allocated buffer, iff allocated
+ decNumber *allocrhs=NULL; // -> allocated buffer, iff allocated
+ #endif
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ // precalculate result sign
+ bits=(uByte)((lhs->bits^rhs->bits)&DECNEG);
+
+ // handle infinities and NaNs
+ if (SPECIALARGS) { // a special bit set
+ if (SPECIALARGS & (DECSNAN | DECNAN)) { // one or two NaNs
+ decNaNs(res, lhs, rhs, set, status);
+ return res;}
+ // one or two infinities; Infinity * 0 is invalid
+ if (((lhs->bits & DECINF)==0 && ISZERO(lhs))
+ ||((rhs->bits & DECINF)==0 && ISZERO(rhs))) {
+ *status|=DEC_Invalid_operation;
+ return res;}
+ decNumberZero(res);
+ res->bits=bits|DECINF; // infinity
+ return res;}
+
+ // For best speed, as in DMSRCN [the original Rexx numerics
+ // module], use the shorter number as the multiplier (rhs) and
+ // the longer as the multiplicand (lhs) to minimise the number of
+ // adds (partial products)
+ if (lhs->digitsdigits) { // swap...
+ const decNumber *hold=lhs;
+ lhs=rhs;
+ rhs=hold;
+ }
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operands and set lostDigits status, as needed
+ if (lhs->digits>set->digits) {
+ alloclhs=decRoundOperand(lhs, set, status);
+ if (alloclhs==NULL) break;
+ lhs=alloclhs;
+ }
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ #if FASTMUL // fastpath can be used
+ // use the fast path if there are enough digits in the shorter
+ // operand to make the setup and takedown worthwhile
+ #define NEEDTWO (DECDPUN*2) // within two decUnitAddSub calls
+ if (rhs->digits>NEEDTWO) { // use fastpath...
+ // calculate the number of elements in each array
+ ilhs=(lhs->digits+FASTDIGS-1)/FASTDIGS; // [ceiling]
+ irhs=(rhs->digits+FASTDIGS-1)/FASTDIGS; // ..
+ iacc=ilhs+irhs;
+
+ // allocate buffers if required, as usual
+ needbytes=ilhs*sizeof(uInt);
+ if (needbytes>(Int)sizeof(zlhibuff)) {
+ alloclhi=(uInt *)malloc(needbytes);
+ zlhi=alloclhi;}
+ needbytes=irhs*sizeof(uInt);
+ if (needbytes>(Int)sizeof(zrhibuff)) {
+ allocrhi=(uInt *)malloc(needbytes);
+ zrhi=allocrhi;}
+
+ // Allocating the accumulator space needs a special case when
+ // DECDPUN=1 because when converting the accumulator to Units
+ // after the multiplication each 8-byte item becomes 9 1-byte
+ // units. Therefore iacc extra bytes are needed at the front
+ // (rounded up to a multiple of 8 bytes), and the uLong
+ // accumulator starts offset the appropriate number of units
+ // to the right to avoid overwrite during the unchunking.
+ needbytes=iacc*sizeof(uLong);
+ #if DECDPUN==1
+ zoff=(iacc+7)/8; // items to offset by
+ needbytes+=zoff*8;
+ #endif
+ if (needbytes>(Int)sizeof(zaccbuff)) {
+ allocacc=(uLong *)malloc(needbytes);
+ zacc=(uLong *)allocacc;}
+ if (zlhi==NULL||zrhi==NULL||zacc==NULL) {
+ *status|=DEC_Insufficient_storage;
+ break;}
+
+ acc=(Unit *)zacc; // -> target Unit array
+ #if DECDPUN==1
+ zacc+=zoff; // start uLong accumulator to right
+ #endif
+
+ // assemble the chunked copies of the left and right sides
+ for (count=lhs->digits, cup=lhs->lsu, lip=zlhi; count>0; lip++)
+ for (p=0, *lip=0; p0;
+ p+=DECDPUN, cup++, count-=DECDPUN)
+ *lip+=*cup*powers[p];
+ lmsi=lip-1; // save -> msi
+ for (count=rhs->digits, cup=rhs->lsu, rip=zrhi; count>0; rip++)
+ for (p=0, *rip=0; p0;
+ p+=DECDPUN, cup++, count-=DECDPUN)
+ *rip+=*cup*powers[p];
+ rmsi=rip-1; // save -> msi
+
+ // zero the accumulator
+ for (lp=zacc; lp0 && rip!=rmsi) continue;
+ lazy=FASTLAZY; // reset delay count
+ // spin up the accumulator resolving overflows
+ for (lp=zacc; lp assume buffer for accumulator
+ needbytes=(D2U(lhs->digits)+D2U(rhs->digits))*sizeof(Unit);
+ if (needbytes>(Int)sizeof(accbuff)) {
+ allocacc=(Unit *)malloc(needbytes);
+ if (allocacc==NULL) {*status|=DEC_Insufficient_storage; break;}
+ acc=(Unit *)allocacc; // use the allocated space
+ }
+
+ /* Now the main long multiplication loop */
+ // Unlike the equivalent in the IBM Java implementation, there
+ // is no advantage in calculating from msu to lsu. So, do it
+ // by the book, as it were.
+ // Each iteration calculates ACC=ACC+MULTAND*MULT
+ accunits=1; // accumulator starts at '0'
+ *acc=0; // .. (lsu=0)
+ shift=0; // no multiplicand shift at first
+ madlength=D2U(lhs->digits); // this won't change
+ mermsup=rhs->lsu+D2U(rhs->digits); // -> msu+1 of multiplier
+
+ for (mer=rhs->lsu; merlsu, madlength, 0,
+ &acc[shift], *mer)
+ + shift;
+ else { // extend acc with a 0; it will be used shortly
+ *(acc+accunits)=0; // [this avoids length of <=0 later]
+ accunits++;
+ }
+ // multiply multiplicand by 10**DECDPUN for next Unit to left
+ shift++; // add this for 'logical length'
+ } // n
+ #if FASTMUL
+ } // unchunked units
+ #endif
+ // common end-path
+ #if DECTRACE
+ decDumpAr('*', acc, accunits); // Show exact result
+ #endif
+
+ // acc now contains the exact result of the multiplication,
+ // possibly with a leading zero unit; build the decNumber from
+ // it, noting if any residue
+ res->bits=bits; // set sign
+ res->digits=decGetDigits(acc, accunits); // count digits exactly
+
+ // There can be a 31-bit wrap in calculating the exponent.
+ // This can only happen if both input exponents are negative and
+ // both their magnitudes are large. If there was a wrap, set a
+ // safe very negative exponent, from which decFinalize() will
+ // raise a hard underflow shortly.
+ exponent=lhs->exponent+rhs->exponent; // calculate exponent
+ if (lhs->exponent<0 && rhs->exponent<0 && exponent>0)
+ exponent=-2*DECNUMMAXE; // force underflow
+ res->exponent=exponent; // OK to overwrite now
+
+
+ // Set the coefficient. If any rounding, residue records
+ decSetCoeff(res, set, acc, res->digits, &residue, status);
+ decFinish(res, set, &residue, status); // final cleanup
+ } while(0); // end protected
+
+ if (allocacc!=NULL) free(allocacc); // drop any storage used
+ #if DECSUBSET
+ if (allocrhs!=NULL) free(allocrhs); // ..
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ #endif
+ #if FASTMUL
+ if (allocrhi!=NULL) free(allocrhi); // ..
+ if (alloclhi!=NULL) free(alloclhi); // ..
+ #endif
+ return res;
+ } // decMultiplyOp
+
+/* ------------------------------------------------------------------ */
+/* decExpOp -- effect exponentiation */
+/* */
+/* This computes C = exp(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. status is updated but */
+/* not set. */
+/* */
+/* Restrictions: */
+/* */
+/* digits, emax, and -emin in the context must be less than */
+/* 2*DEC_MAX_MATH (1999998), and the rhs must be within these */
+/* bounds or a zero. This is an internal routine, so these */
+/* restrictions are contractual and not enforced. */
+/* */
+/* A finite result is rounded using DEC_ROUND_HALF_EVEN; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* */
+/* Finite results will always be full precision and Inexact, except */
+/* when A is a zero or -Infinity (giving 1 or 0 respectively). */
+/* ------------------------------------------------------------------ */
+/* This approach used here is similar to the algorithm described in */
+/* */
+/* Variable Precision Exponential Function, T. E. Hull and */
+/* A. Abrham, ACM Transactions on Mathematical Software, Vol 12 #2, */
+/* pp79-91, ACM, June 1986. */
+/* */
+/* with the main difference being that the iterations in the series */
+/* evaluation are terminated dynamically (which does not require the */
+/* extra variable-precision variables which are expensive in this */
+/* context). */
+/* */
+/* The error analysis in Hull & Abrham's paper applies except for the */
+/* round-off error accumulation during the series evaluation. This */
+/* code does not precalculate the number of iterations and so cannot */
+/* use Horner's scheme. Instead, the accumulation is done at double- */
+/* precision, which ensures that the additions of the terms are exact */
+/* and do not accumulate round-off (and any round-off errors in the */
+/* terms themselves move 'to the right' faster than they can */
+/* accumulate). This code also extends the calculation by allowing, */
+/* in the spirit of other decNumber operators, the input to be more */
+/* precise than the result (the precision used is based on the more */
+/* precise of the input or requested result). */
+/* */
+/* Implementation notes: */
+/* */
+/* 1. This is separated out as decExpOp so it can be called from */
+/* other Mathematical functions (notably Ln) with a wider range */
+/* than normal. In particular, it can handle the slightly wider */
+/* (double) range needed by Ln (which has to be able to calculate */
+/* exp(-x) where x can be the tiniest number (Ntiny). */
+/* */
+/* 2. Normalizing x to be <=0.1 (instead of <=1) reduces loop */
+/* iterations by appoximately a third with additional (although */
+/* diminishing) returns as the range is reduced to even smaller */
+/* fractions. However, h (the power of 10 used to correct the */
+/* result at the end, see below) must be kept <=8 as otherwise */
+/* the final result cannot be computed. Hence the leverage is a */
+/* sliding value (8-h), where potentially the range is reduced */
+/* more for smaller values. */
+/* */
+/* The leverage that can be applied in this way is severely */
+/* limited by the cost of the raise-to-the power at the end, */
+/* which dominates when the number of iterations is small (less */
+/* than ten) or when rhs is short. As an example, the adjustment */
+/* x**10,000,000 needs 31 multiplications, all but one full-width. */
+/* */
+/* 3. The restrictions (especially precision) could be raised with */
+/* care, but the full decNumber range seems very hard within the */
+/* 32-bit limits. */
+/* */
+/* 4. The working precisions for the static buffers are twice the */
+/* obvious size to allow for calls from decNumberPower. */
+/* ------------------------------------------------------------------ */
+decNumber * decExpOp(decNumber *res, const decNumber *rhs,
+ decContext *set, uInt *status) {
+ uInt ignore=0; // working status
+ Int h; // adjusted exponent for 0.xxxx
+ Int p; // working precision
+ Int residue; // rounding residue
+ uInt needbytes; // for space calculations
+ const decNumber *x=rhs; // (may point to safe copy later)
+ decContext aset, tset, dset; // working contexts
+ Int comp; // work
+
+ // the argument is often copied to normalize it, so (unusually) it
+ // is treated like other buffers, using DECBUFFER, +1 in case
+ // DECBUFFER is 0
+ decNumber bufr[D2N(DECBUFFER*2+1)];
+ decNumber *allocrhs=NULL; // non-NULL if rhs buffer allocated
+
+ // the working precision will be no more than set->digits+8+1
+ // so for on-stack buffers DECBUFFER+9 is used, +1 in case DECBUFFER
+ // is 0 (and twice that for the accumulator)
+
+ // buffer for t, term (working precision plus)
+ decNumber buft[D2N(DECBUFFER*2+9+1)];
+ decNumber *allocbuft=NULL; // -> allocated buft, iff allocated
+ decNumber *t=buft; // term
+ // buffer for a, accumulator (working precision * 2), at least 9
+ decNumber bufa[D2N(DECBUFFER*4+18+1)];
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber *a=bufa; // accumulator
+ // decNumber for the divisor term; this needs at most 9 digits
+ // and so can be fixed size [16 so can use standard context]
+ decNumber bufd[D2N(16)];
+ decNumber *d=bufd; // divisor
+ decNumber numone; // constant 1
+
+ #if DECCHECK
+ Int iterations=0; // for later sanity check
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ if (SPECIALARG) { // handle infinities and NaNs
+ if (decNumberIsInfinite(rhs)) { // an infinity
+ if (decNumberIsNegative(rhs)) // -Infinity -> +0
+ decNumberZero(res);
+ else decNumberCopy(res, rhs); // +Infinity -> self
+ }
+ else decNaNs(res, rhs, NULL, set, status); // a NaN
+ break;}
+
+ if (ISZERO(rhs)) { // zeros -> exact 1
+ decNumberZero(res); // make clean 1
+ *res->lsu=1; // ..
+ break;} // [no status to set]
+
+ // e**x when 0 < x < 0.66 is < 1+3x/2, hence can fast-path
+ // positive and negative tiny cases which will result in inexact
+ // 1. This also allows the later add-accumulate to always be
+ // exact (because its length will never be more than twice the
+ // working precision).
+ // The comparator (tiny) needs just one digit, so use the
+ // decNumber d for it (reused as the divisor, etc., below); its
+ // exponent is such that if x is positive it will have
+ // set->digits-1 zeros between the decimal point and the digit,
+ // which is 4, and if x is negative one more zero there as the
+ // more precise result will be of the form 0.9999999 rather than
+ // 1.0000001. Hence, tiny will be 0.0000004 if digits=7 and x>0
+ // or 0.00000004 if digits=7 and x<0. If RHS not larger than
+ // this then the result will be 1.000000
+ decNumberZero(d); // clean
+ *d->lsu=4; // set 4 ..
+ d->exponent=-set->digits; // * 10**(-d)
+ if (decNumberIsNegative(rhs)) d->exponent--; // negative case
+ comp=decCompare(d, rhs, 1); // signless compare
+ if (comp==BADINT) {
+ *status|=DEC_Insufficient_storage;
+ break;}
+ if (comp>=0) { // rhs < d
+ Int shift=set->digits-1;
+ decNumberZero(res); // set 1
+ *res->lsu=1; // ..
+ res->digits=decShiftToMost(res->lsu, 1, shift);
+ res->exponent=-shift; // make 1.0000...
+ *status|=DEC_Inexact | DEC_Rounded; // .. inexactly
+ break;} // tiny
+
+ // set up the context to be used for calculating a, as this is
+ // used on both paths below
+ decContextDefault(&aset, DEC_INIT_DECIMAL64);
+ // accumulator bounds are as requested (could underflow)
+ aset.emax=set->emax; // usual bounds
+ aset.emin=set->emin; // ..
+ aset.clamp=0; // and no concrete format
+
+ // calculate the adjusted (Hull & Abrham) exponent (where the
+ // decimal point is just to the left of the coefficient msd)
+ h=rhs->exponent+rhs->digits;
+ // if h>8 then 10**h cannot be calculated safely; however, when
+ // h=8 then exp(|rhs|) will be at least exp(1E+7) which is at
+ // least 6.59E+4342944, so (due to the restriction on Emax/Emin)
+ // overflow (or underflow to 0) is guaranteed -- so this case can
+ // be handled by simply forcing the appropriate excess
+ if (h>8) { // overflow/underflow
+ // set up here so Power call below will over or underflow to
+ // zero; set accumulator to either 2 or 0.02
+ // [stack buffer for a is always big enough for this]
+ decNumberZero(a);
+ *a->lsu=2; // not 1 but < exp(1)
+ if (decNumberIsNegative(rhs)) a->exponent=-2; // make 0.02
+ h=8; // clamp so 10**h computable
+ p=9; // set a working precision
+ }
+ else { // h<=8
+ Int maxlever=(rhs->digits>8?1:0);
+ // [could/should increase this for precisions >40 or so, too]
+
+ // if h is 8, cannot normalize to a lower upper limit because
+ // the final result will not be computable (see notes above),
+ // but leverage can be applied whenever h is less than 8.
+ // Apply as much as possible, up to a MAXLEVER digits, which
+ // sets the tradeoff against the cost of the later a**(10**h).
+ // As h is increased, the working precision below also
+ // increases to compensate for the "constant digits at the
+ // front" effect.
+ Int lever=MINI(8-h, maxlever); // leverage attainable
+ Int use=-rhs->digits-lever; // exponent to use for RHS
+ h+=lever; // apply leverage selected
+ if (h<0) { // clamp
+ use+=h; // [may end up subnormal]
+ h=0;
+ }
+ // Take a copy of RHS if it needs normalization (true whenever x>=1)
+ if (rhs->exponent!=use) {
+ decNumber *newrhs=bufr; // assume will fit on stack
+ needbytes=sizeof(decNumber)+(D2U(rhs->digits)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufr)) { // need malloc space
+ allocrhs=(decNumber *)malloc(needbytes);
+ if (allocrhs==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ newrhs=allocrhs; // use the allocated space
+ }
+ decNumberCopy(newrhs, rhs); // copy to safe space
+ newrhs->exponent=use; // normalize; now <1
+ x=newrhs; // ready for use
+ // decNumberShow(x);
+ }
+
+ // Now use the usual power series to evaluate exp(x). The
+ // series starts as 1 + x + x^2/2 ... so prime ready for the
+ // third term by setting the term variable t=x, the accumulator
+ // a=1, and the divisor d=2.
+
+ // First determine the working precision. From Hull & Abrham
+ // this is set->digits+h+2. However, if x is 'over-precise' we
+ // need to allow for all its digits to potentially participate
+ // (consider an x where all the excess digits are 9s) so in
+ // this case use x->digits+h+2
+ p=MAXI(x->digits, set->digits)+h+2; // [h<=8]
+
+ // a and t are variable precision, and depend on p, so space
+ // must be allocated for them if necessary
+
+ // the accumulator needs to be able to hold 2p digits so that
+ // the additions on the second and subsequent iterations are
+ // sufficiently exact.
+ needbytes=sizeof(decNumber)+(D2U(p*2)-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufa)) { // need malloc space
+ allocbufa=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ a=allocbufa; // use the allocated space
+ }
+ // the term needs to be able to hold p digits (which is
+ // guaranteed to be larger than x->digits, so the initial copy
+ // is safe); it may also be used for the raise-to-power
+ // calculation below, which needs an extra two digits
+ needbytes=sizeof(decNumber)+(D2U(p+2)-1)*sizeof(Unit);
+ if (needbytes>sizeof(buft)) { // need malloc space
+ allocbuft=(decNumber *)malloc(needbytes);
+ if (allocbuft==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ t=allocbuft; // use the allocated space
+ }
+
+ decNumberCopy(t, x); // term=x
+ decNumberZero(a); *a->lsu=1; // accumulator=1
+ decNumberZero(d); *d->lsu=2; // divisor=2
+ decNumberZero(&numone); *numone.lsu=1; // constant 1 for increment
+
+ // set up the contexts for calculating a, t, and d
+ decContextDefault(&tset, DEC_INIT_DECIMAL64);
+ dset=tset;
+ // accumulator bounds are set above, set precision now
+ aset.digits=p*2; // double
+ // term bounds avoid any underflow or overflow
+ tset.digits=p;
+ tset.emin=DEC_MIN_EMIN; // [emax is plenty]
+ // [dset.digits=16, etc., are sufficient]
+
+ // finally ready to roll
+ for (;;) {
+ #if DECCHECK
+ iterations++;
+ #endif
+ // only the status from the accumulation is interesting
+ // [but it should remain unchanged after first add]
+ decAddOp(a, a, t, &aset, 0, status); // a=a+t
+ decMultiplyOp(t, t, x, &tset, &ignore); // t=t*x
+ decDivideOp(t, t, d, &tset, DIVIDE, &ignore); // t=t/d
+ // the iteration ends when the term cannot affect the result,
+ // if rounded to p digits, which is when its value is smaller
+ // than the accumulator by p+1 digits. There must also be
+ // full precision in a.
+ if (((a->digits+a->exponent)>=(t->digits+t->exponent+p+1))
+ && (a->digits>=p)) break;
+ decAddOp(d, d, &numone, &dset, 0, &ignore); // d=d+1
+ } // iterate
+
+ #if DECCHECK
+ // just a sanity check; comment out test to show always
+ if (iterations>p+3)
+ printf("Exp iterations=%ld, status=%08lx, p=%ld, d=%ld\n",
+ (LI)iterations, (LI)*status, (LI)p, (LI)x->digits);
+ #endif
+ } // h<=8
+
+ // apply postconditioning: a=a**(10**h) -- this is calculated
+ // at a slightly higher precision than Hull & Abrham suggest
+ if (h>0) {
+ Int seenbit=0; // set once a 1-bit is seen
+ Int i; // counter
+ Int n=powers[h]; // always positive
+ aset.digits=p+2; // sufficient precision
+ // avoid the overhead and many extra digits of decNumberPower
+ // as all that is needed is the short 'multipliers' loop; here
+ // accumulate the answer into t
+ decNumberZero(t); *t->lsu=1; // acc=1
+ for (i=1;;i++){ // for each bit [top bit ignored]
+ // abandon if have had overflow or terminal underflow
+ if (*status & (DEC_Overflow|DEC_Underflow)) { // interesting?
+ if (*status&DEC_Overflow || ISZERO(t)) break;}
+ n=n<<1; // move next bit to testable position
+ if (n<0) { // top bit is set
+ seenbit=1; // OK, have a significant bit
+ decMultiplyOp(t, t, a, &aset, status); // acc=acc*x
+ }
+ if (i==31) break; // that was the last bit
+ if (!seenbit) continue; // no need to square 1
+ decMultiplyOp(t, t, t, &aset, status); // acc=acc*acc [square]
+ } /*i*/ // 32 bits
+ // decNumberShow(t);
+ a=t; // and carry on using t instead of a
+ }
+
+ // Copy and round the result to res
+ residue=1; // indicate dirt to right ..
+ if (ISZERO(a)) residue=0; // .. unless underflowed to 0
+ aset.digits=set->digits; // [use default rounding]
+ decCopyFit(res, a, &aset, &residue, status); // copy & shorten
+ decFinish(res, set, &residue, status); // cleanup/set flags
+ } while(0); // end protected
+
+ if (allocrhs !=NULL) free(allocrhs); // drop any storage used
+ if (allocbufa!=NULL) free(allocbufa); // ..
+ if (allocbuft!=NULL) free(allocbuft); // ..
+ // [status is handled by caller]
+ return res;
+ } // decExpOp
+
+/* ------------------------------------------------------------------ */
+/* Initial-estimate natural logarithm table */
+/* */
+/* LNnn -- 90-entry 16-bit table for values from .10 through .99. */
+/* The result is a 4-digit encode of the coefficient (c=the */
+/* top 14 bits encoding 0-9999) and a 2-digit encode of the */
+/* exponent (e=the bottom 2 bits encoding 0-3) */
+/* */
+/* The resulting value is given by: */
+/* */
+/* v = -c * 10**(-e-3) */
+/* */
+/* where e and c are extracted from entry k = LNnn[x-10] */
+/* where x is truncated (NB) into the range 10 through 99, */
+/* and then c = k>>2 and e = k&3. */
+/* ------------------------------------------------------------------ */
+const uShort LNnn[90]={9016, 8652, 8316, 8008, 7724, 7456, 7208,
+ 6972, 6748, 6540, 6340, 6148, 5968, 5792, 5628, 5464, 5312,
+ 5164, 5020, 4884, 4748, 4620, 4496, 4376, 4256, 4144, 4032,
+ 39233, 38181, 37157, 36157, 35181, 34229, 33297, 32389, 31501, 30629,
+ 29777, 28945, 28129, 27329, 26545, 25777, 25021, 24281, 23553, 22837,
+ 22137, 21445, 20769, 20101, 19445, 18801, 18165, 17541, 16925, 16321,
+ 15721, 15133, 14553, 13985, 13421, 12865, 12317, 11777, 11241, 10717,
+ 10197, 9685, 9177, 8677, 8185, 7697, 7213, 6737, 6269, 5801,
+ 5341, 4889, 4437, 39930, 35534, 31186, 26886, 22630, 18418, 14254,
+ 10130, 6046, 20055};
+
+/* ------------------------------------------------------------------ */
+/* decLnOp -- effect natural logarithm */
+/* */
+/* This computes C = ln(A) */
+/* */
+/* res is C, the result. C may be A */
+/* rhs is A */
+/* set is the context; note that rounding mode has no effect */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Notable cases: */
+/* A<0 -> Invalid */
+/* A=0 -> -Infinity (Exact) */
+/* A=+Infinity -> +Infinity (Exact) */
+/* A=1 exactly -> 0 (Exact) */
+/* */
+/* Restrictions (as for Exp): */
+/* */
+/* digits, emax, and -emin in the context must be less than */
+/* DEC_MAX_MATH+11 (1000010), and the rhs must be within these */
+/* bounds or a zero. This is an internal routine, so these */
+/* restrictions are contractual and not enforced. */
+/* */
+/* A finite result is rounded using DEC_ROUND_HALF_EVEN; it will */
+/* almost always be correctly rounded, but may be up to 1 ulp in */
+/* error in rare cases. */
+/* ------------------------------------------------------------------ */
+/* The result is calculated using Newton's method, with each */
+/* iteration calculating a' = a + x * exp(-a) - 1. See, for example, */
+/* Epperson 1989. */
+/* */
+/* The iteration ends when the adjustment x*exp(-a)-1 is tiny enough. */
+/* This has to be calculated at the sum of the precision of x and the */
+/* working precision. */
+/* */
+/* Implementation notes: */
+/* */
+/* 1. This is separated out as decLnOp so it can be called from */
+/* other Mathematical functions (e.g., Log 10) with a wider range */
+/* than normal. In particular, it can handle the slightly wider */
+/* (+9+2) range needed by a power function. */
+/* */
+/* 2. The speed of this function is about 10x slower than exp, as */
+/* it typically needs 4-6 iterations for short numbers, and the */
+/* extra precision needed adds a squaring effect, twice. */
+/* */
+/* 3. Fastpaths are included for ln(10) and ln(2), up to length 40, */
+/* as these are common requests. ln(10) is used by log10(x). */
+/* */
+/* 4. An iteration might be saved by widening the LNnn table, and */
+/* would certainly save at least one if it were made ten times */
+/* bigger, too (for truncated fractions 0.100 through 0.999). */
+/* However, for most practical evaluations, at least four or five */
+/* iterations will be neede -- so this would only speed up by */
+/* 20-25% and that probably does not justify increasing the table */
+/* size. */
+/* */
+/* 5. The static buffers are larger than might be expected to allow */
+/* for calls from decNumberPower. */
+/* ------------------------------------------------------------------ */
+decNumber * decLnOp(decNumber *res, const decNumber *rhs,
+ decContext *set, uInt *status) {
+ uInt ignore=0; // working status accumulator
+ uInt needbytes; // for space calculations
+ Int residue; // rounding residue
+ Int r; // rhs=f*10**r [see below]
+ Int p; // working precision
+ Int pp; // precision for iteration
+ Int t; // work
+
+ // buffers for a (accumulator, typically precision+2) and b
+ // (adjustment calculator, same size)
+ decNumber bufa[D2N(DECBUFFER+12)];
+ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated
+ decNumber *a=bufa; // accumulator/work
+ decNumber bufb[D2N(DECBUFFER*2+2)];
+ decNumber *allocbufb=NULL; // -> allocated bufa, iff allocated
+ decNumber *b=bufb; // adjustment/work
+
+ decNumber numone; // constant 1
+ decNumber cmp; // work
+ decContext aset, bset; // working contexts
+
+ #if DECCHECK
+ Int iterations=0; // for later sanity check
+ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ if (SPECIALARG) { // handle infinities and NaNs
+ if (decNumberIsInfinite(rhs)) { // an infinity
+ if (decNumberIsNegative(rhs)) // -Infinity -> error
+ *status|=DEC_Invalid_operation;
+ else decNumberCopy(res, rhs); // +Infinity -> self
+ }
+ else decNaNs(res, rhs, NULL, set, status); // a NaN
+ break;}
+
+ if (ISZERO(rhs)) { // +/- zeros -> -Infinity
+ decNumberZero(res); // make clean
+ res->bits=DECINF|DECNEG; // set - infinity
+ break;} // [no status to set]
+
+ // Non-zero negatives are bad...
+ if (decNumberIsNegative(rhs)) { // -x -> error
+ *status|=DEC_Invalid_operation;
+ break;}
+
+ // Here, rhs is positive, finite, and in range
+
+ // lookaside fastpath code for ln(2) and ln(10) at common lengths
+ if (rhs->exponent==0 && set->digits<=40) {
+ #if DECDPUN==1
+ if (rhs->lsu[0]==0 && rhs->lsu[1]==1 && rhs->digits==2) { // ln(10)
+ #else
+ if (rhs->lsu[0]==10 && rhs->digits==2) { // ln(10)
+ #endif
+ aset=*set; aset.round=DEC_ROUND_HALF_EVEN;
+ #define LN10 "2.302585092994045684017991454684364207601"
+ decNumberFromString(res, LN10, &aset);
+ *status|=(DEC_Inexact | DEC_Rounded); // is inexact
+ break;}
+ if (rhs->lsu[0]==2 && rhs->digits==1) { // ln(2)
+ aset=*set; aset.round=DEC_ROUND_HALF_EVEN;
+ #define LN2 "0.6931471805599453094172321214581765680755"
+ decNumberFromString(res, LN2, &aset);
+ *status|=(DEC_Inexact | DEC_Rounded);
+ break;}
+ } // integer and short
+
+ // Determine the working precision. This is normally the
+ // requested precision + 2, with a minimum of 9. However, if
+ // the rhs is 'over-precise' then allow for all its digits to
+ // potentially participate (consider an rhs where all the excess
+ // digits are 9s) so in this case use rhs->digits+2.
+ p=MAXI(rhs->digits, MAXI(set->digits, 7))+2;
+
+ // Allocate space for the accumulator and the high-precision
+ // adjustment calculator, if necessary. The accumulator must
+ // be able to hold p digits, and the adjustment up to
+ // rhs->digits+p digits. They are also made big enough for 16
+ // digits so that they can be used for calculating the initial
+ // estimate.
+ needbytes=sizeof(decNumber)+(D2U(MAXI(p,16))-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufa)) { // need malloc space
+ allocbufa=(decNumber *)malloc(needbytes);
+ if (allocbufa==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ a=allocbufa; // use the allocated space
+ }
+ pp=p+rhs->digits;
+ needbytes=sizeof(decNumber)+(D2U(MAXI(pp,16))-1)*sizeof(Unit);
+ if (needbytes>sizeof(bufb)) { // need malloc space
+ allocbufb=(decNumber *)malloc(needbytes);
+ if (allocbufb==NULL) { // hopeless -- abandon
+ *status|=DEC_Insufficient_storage;
+ break;}
+ b=allocbufb; // use the allocated space
+ }
+
+ // Prepare an initial estimate in acc. Calculate this by
+ // considering the coefficient of x to be a normalized fraction,
+ // f, with the decimal point at far left and multiplied by
+ // 10**r. Then, rhs=f*10**r and 0.1<=f<1, and
+ // ln(x) = ln(f) + ln(10)*r
+ // Get the initial estimate for ln(f) from a small lookup
+ // table (see above) indexed by the first two digits of f,
+ // truncated.
+
+ decContextDefault(&aset, DEC_INIT_DECIMAL64); // 16-digit extended
+ r=rhs->exponent+rhs->digits; // 'normalised' exponent
+ decNumberFromInt32(a, r); // a=r
+ decNumberFromInt32(b, 2302585); // b=ln(10) (2.302585)
+ b->exponent=-6; // ..
+ decMultiplyOp(a, a, b, &aset, &ignore); // a=a*b
+ // now get top two digits of rhs into b by simple truncate and
+ // force to integer
+ residue=0; // (no residue)
+ aset.digits=2; aset.round=DEC_ROUND_DOWN;
+ decCopyFit(b, rhs, &aset, &residue, &ignore); // copy & shorten
+ b->exponent=0; // make integer
+ t=decGetInt(b); // [cannot fail]
+ if (t<10) t=X10(t); // adjust single-digit b
+ t=LNnn[t-10]; // look up ln(b)
+ decNumberFromInt32(b, t>>2); // b=ln(b) coefficient
+ b->exponent=-(t&3)-3; // set exponent
+ b->bits=DECNEG; // ln(0.10)->ln(0.99) always -ve
+ aset.digits=16; aset.round=DEC_ROUND_HALF_EVEN; // restore
+ decAddOp(a, a, b, &aset, 0, &ignore); // acc=a+b
+ // the initial estimate is now in a, with up to 4 digits correct.
+ // When rhs is at or near Nmax the estimate will be low, so we
+ // will approach it from below, avoiding overflow when calling exp.
+
+ decNumberZero(&numone); *numone.lsu=1; // constant 1 for adjustment
+
+ // accumulator bounds are as requested (could underflow, but
+ // cannot overflow)
+ aset.emax=set->emax;
+ aset.emin=set->emin;
+ aset.clamp=0; // no concrete format
+ // set up a context to be used for the multiply and subtract
+ bset=aset;
+ bset.emax=DEC_MAX_MATH*2; // use double bounds for the
+ bset.emin=-DEC_MAX_MATH*2; // adjustment calculation
+ // [see decExpOp call below]
+ // for each iteration double the number of digits to calculate,
+ // up to a maximum of p
+ pp=9; // initial precision
+ // [initially 9 as then the sequence starts 7+2, 16+2, and
+ // 34+2, which is ideal for standard-sized numbers]
+ aset.digits=pp; // working context
+ bset.digits=pp+rhs->digits; // wider context
+ for (;;) { // iterate
+ #if DECCHECK
+ iterations++;
+ if (iterations>24) break; // consider 9 * 2**24
+ #endif
+ // calculate the adjustment (exp(-a)*x-1) into b. This is a
+ // catastrophic subtraction but it really is the difference
+ // from 1 that is of interest.
+ // Use the internal entry point to Exp as it allows the double
+ // range for calculating exp(-a) when a is the tiniest subnormal.
+ a->bits^=DECNEG; // make -a
+ decExpOp(b, a, &bset, &ignore); // b=exp(-a)
+ a->bits^=DECNEG; // restore sign of a
+ // now multiply by rhs and subtract 1, at the wider precision
+ decMultiplyOp(b, b, rhs, &bset, &ignore); // b=b*rhs
+ decAddOp(b, b, &numone, &bset, DECNEG, &ignore); // b=b-1
+
+ // the iteration ends when the adjustment cannot affect the
+ // result by >=0.5 ulp (at the requested digits), which
+ // is when its value is smaller than the accumulator by
+ // set->digits+1 digits (or it is zero) -- this is a looser
+ // requirement than for Exp because all that happens to the
+ // accumulator after this is the final rounding (but note that
+ // there must also be full precision in a, or a=0).
+
+ if (decNumberIsZero(b) ||
+ (a->digits+a->exponent)>=(b->digits+b->exponent+set->digits+1)) {
+ if (a->digits==p) break;
+ if (decNumberIsZero(a)) {
+ decCompareOp(&cmp, rhs, &numone, &aset, COMPARE, &ignore); // rhs=1 ?
+ if (cmp.lsu[0]==0) a->exponent=0; // yes, exact 0
+ else *status|=(DEC_Inexact | DEC_Rounded); // no, inexact
+ break;
+ }
+ // force padding if adjustment has gone to 0 before full length
+ if (decNumberIsZero(b)) b->exponent=a->exponent-p;
+ }
+
+ // not done yet ...
+ decAddOp(a, a, b, &aset, 0, &ignore); // a=a+b for next estimate
+ if (pp==p) continue; // precision is at maximum
+ // lengthen the next calculation
+ pp=pp*2; // double precision
+ if (pp>p) pp=p; // clamp to maximum
+ aset.digits=pp; // working context
+ bset.digits=pp+rhs->digits; // wider context
+ } // Newton's iteration
+
+ #if DECCHECK
+ // just a sanity check; remove the test to show always
+ if (iterations>24)
+ printf("Ln iterations=%ld, status=%08lx, p=%ld, d=%ld\n",
+ (LI)iterations, (LI)*status, (LI)p, (LI)rhs->digits);
+ #endif
+
+ // Copy and round the result to res
+ residue=1; // indicate dirt to right
+ if (ISZERO(a)) residue=0; // .. unless underflowed to 0
+ aset.digits=set->digits; // [use default rounding]
+ decCopyFit(res, a, &aset, &residue, status); // copy & shorten
+ decFinish(res, set, &residue, status); // cleanup/set flags
+ } while(0); // end protected
+
+ if (allocbufa!=NULL) free(allocbufa); // drop any storage used
+ if (allocbufb!=NULL) free(allocbufb); // ..
+ // [status is handled by caller]
+ return res;
+ } // decLnOp
+
+/* ------------------------------------------------------------------ */
+/* decQuantizeOp -- force exponent to requested value */
+/* */
+/* This computes C = op(A, B), where op adjusts the coefficient */
+/* of C (by rounding or shifting) such that the exponent (-scale) */
+/* of C has the value B or matches the exponent of B. */
+/* The numerical value of C will equal A, except for the effects of */
+/* any rounding that occurred. */
+/* */
+/* res is C, the result. C may be A or B */
+/* lhs is A, the number to adjust */
+/* rhs is B, the requested exponent */
+/* set is the context */
+/* quant is 1 for quantize or 0 for rescale */
+/* status is the status accumulator (this can be called without */
+/* risk of control loss) */
+/* */
+/* C must have space for set->digits digits. */
+/* */
+/* Unless there is an error or the result is infinite, the exponent */
+/* after the operation is guaranteed to be that requested. */
+/* ------------------------------------------------------------------ */
+static decNumber * decQuantizeOp(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set,
+ Flag quant, uInt *status) {
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated
+ decNumber *allocrhs=NULL; // .., rhs
+ #endif
+ const decNumber *inrhs=rhs; // save original rhs
+ Int reqdigits=set->digits; // requested DIGITS
+ Int reqexp; // requested exponent [-scale]
+ Int residue=0; // rounding residue
+ Int etiny=set->emin-(reqdigits-1);
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operands and set lostDigits status, as needed
+ if (lhs->digits>reqdigits) {
+ alloclhs=decRoundOperand(lhs, set, status);
+ if (alloclhs==NULL) break;
+ lhs=alloclhs;
+ }
+ if (rhs->digits>reqdigits) { // [this only checks lostDigits]
+ allocrhs=decRoundOperand(rhs, set, status);
+ if (allocrhs==NULL) break;
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // Handle special values
+ if (SPECIALARGS) {
+ // NaNs get usual processing
+ if (SPECIALARGS & (DECSNAN | DECNAN))
+ decNaNs(res, lhs, rhs, set, status);
+ // one infinity but not both is bad
+ else if ((lhs->bits ^ rhs->bits) & DECINF)
+ *status|=DEC_Invalid_operation;
+ // both infinity: return lhs
+ else decNumberCopy(res, lhs); // [nop if in place]
+ break;
+ }
+
+ // set requested exponent
+ if (quant) reqexp=inrhs->exponent; // quantize -- match exponents
+ else { // rescale -- use value of rhs
+ // Original rhs must be an integer that fits and is in range,
+ // which could be from -1999999997 to +999999999, thanks to
+ // subnormals
+ reqexp=decGetInt(inrhs); // [cannot fail]
+ }
+
+ #if DECSUBSET
+ if (!set->extended) etiny=set->emin; // no subnormals
+ #endif
+
+ if (reqexp==BADINT // bad (rescale only) or ..
+ || reqexp==BIGODD || reqexp==BIGEVEN // very big (ditto) or ..
+ || (reqexpset->emax)) { // > emax
+ *status|=DEC_Invalid_operation;
+ break;}
+
+ // the RHS has been processed, so it can be overwritten now if necessary
+ if (ISZERO(lhs)) { // zero coefficient unchanged
+ decNumberCopy(res, lhs); // [nop if in place]
+ res->exponent=reqexp; // .. just set exponent
+ #if DECSUBSET
+ if (!set->extended) res->bits=0; // subset specification; no -0
+ #endif
+ }
+ else { // non-zero lhs
+ Int adjust=reqexp-lhs->exponent; // digit adjustment needed
+ // if adjusted coefficient will definitely not fit, give up now
+ if ((lhs->digits-adjust)>reqdigits) {
+ *status|=DEC_Invalid_operation;
+ break;
+ }
+
+ if (adjust>0) { // increasing exponent
+ // this will decrease the length of the coefficient by adjust
+ // digits, and must round as it does so
+ decContext workset; // work
+ workset=*set; // clone rounding, etc.
+ workset.digits=lhs->digits-adjust; // set requested length
+ // [note that the latter can be <1, here]
+ decCopyFit(res, lhs, &workset, &residue, status); // fit to result
+ decApplyRound(res, &workset, residue, status); // .. and round
+ residue=0; // [used]
+ // If just rounded a 999s case, exponent will be off by one;
+ // adjust back (after checking space), if so.
+ if (res->exponent>reqexp) {
+ // re-check needed, e.g., for quantize(0.9999, 0.001) under
+ // set->digits==3
+ if (res->digits==reqdigits) { // cannot shift by 1
+ *status&=~(DEC_Inexact | DEC_Rounded); // [clean these]
+ *status|=DEC_Invalid_operation;
+ break;
+ }
+ res->digits=decShiftToMost(res->lsu, res->digits, 1); // shift
+ res->exponent--; // (re)adjust the exponent.
+ }
+ #if DECSUBSET
+ if (ISZERO(res) && !set->extended) res->bits=0; // subset; no -0
+ #endif
+ } // increase
+ else /* adjust<=0 */ { // decreasing or = exponent
+ // this will increase the length of the coefficient by -adjust
+ // digits, by adding zero or more trailing zeros; this is
+ // already checked for fit, above
+ decNumberCopy(res, lhs); // [it will fit]
+ // if padding needed (adjust<0), add it now...
+ if (adjust<0) {
+ res->digits=decShiftToMost(res->lsu, res->digits, -adjust);
+ res->exponent+=adjust; // adjust the exponent
+ }
+ } // decrease
+ } // non-zero
+
+ // Check for overflow [do not use Finalize in this case, as an
+ // overflow here is a "don't fit" situation]
+ if (res->exponent>set->emax-res->digits+1) { // too big
+ *status|=DEC_Invalid_operation;
+ break;
+ }
+ else {
+ decFinalize(res, set, &residue, status); // set subnormal flags
+ *status&=~DEC_Underflow; // suppress Underflow [as per 754]
+ }
+ } while(0); // end protected
+
+ #if DECSUBSET
+ if (allocrhs!=NULL) free(allocrhs); // drop any storage used
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ #endif
+ return res;
+ } // decQuantizeOp
+
+/* ------------------------------------------------------------------ */
+/* decCompareOp -- compare, min, or max two Numbers */
+/* */
+/* This computes C = A ? B and carries out one of four operations: */
+/* COMPARE -- returns the signum (as a number) giving the */
+/* result of a comparison unless one or both */
+/* operands is a NaN (in which case a NaN results) */
+/* COMPSIG -- as COMPARE except that a quiet NaN raises */
+/* Invalid operation. */
+/* COMPMAX -- returns the larger of the operands, using the */
+/* 754 maxnum operation */
+/* COMPMAXMAG -- ditto, comparing absolute values */
+/* COMPMIN -- the 754 minnum operation */
+/* COMPMINMAG -- ditto, comparing absolute values */
+/* COMTOTAL -- returns the signum (as a number) giving the */
+/* result of a comparison using 754 total ordering */
+/* */
+/* res is C, the result. C may be A and/or B (e.g., X=X?X) */
+/* lhs is A */
+/* rhs is B */
+/* set is the context */
+/* op is the operation flag */
+/* status is the usual accumulator */
+/* */
+/* C must have space for one digit for COMPARE or set->digits for */
+/* COMPMAX, COMPMIN, COMPMAXMAG, or COMPMINMAG. */
+/* ------------------------------------------------------------------ */
+/* The emphasis here is on speed for common cases, and avoiding */
+/* coefficient comparison if possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decCompareOp(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set,
+ Flag op, uInt *status) {
+ #if DECSUBSET
+ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated
+ decNumber *allocrhs=NULL; // .., rhs
+ #endif
+ Int result=0; // default result value
+ uByte merged; // work
+
+ #if DECCHECK
+ if (decCheckOperands(res, lhs, rhs, set)) return res;
+ #endif
+
+ do { // protect allocated storage
+ #if DECSUBSET
+ if (!set->extended) {
+ // reduce operands and set lostDigits status, as needed
+ if (lhs->digits>set->digits) {
+ alloclhs=decRoundOperand(lhs, set, status);
+ if (alloclhs==NULL) {result=BADINT; break;}
+ lhs=alloclhs;
+ }
+ if (rhs->digits>set->digits) {
+ allocrhs=decRoundOperand(rhs, set, status);
+ if (allocrhs==NULL) {result=BADINT; break;}
+ rhs=allocrhs;
+ }
+ }
+ #endif
+ // [following code does not require input rounding]
+
+ // If total ordering then handle differing signs 'up front'
+ if (op==COMPTOTAL) { // total ordering
+ if (decNumberIsNegative(lhs) & !decNumberIsNegative(rhs)) {
+ result=-1;
+ break;
+ }
+ if (!decNumberIsNegative(lhs) & decNumberIsNegative(rhs)) {
+ result=+1;
+ break;
+ }
+ }
+
+ // handle NaNs specially; let infinities drop through
+ // This assumes sNaN (even just one) leads to NaN.
+ merged=(lhs->bits | rhs->bits) & (DECSNAN | DECNAN);
+ if (merged) { // a NaN bit set
+ if (op==COMPARE); // result will be NaN
+ else if (op==COMPSIG) // treat qNaN as sNaN
+ *status|=DEC_Invalid_operation | DEC_sNaN;
+ else if (op==COMPTOTAL) { // total ordering, always finite
+ // signs are known to be the same; compute the ordering here
+ // as if the signs are both positive, then invert for negatives
+ if (!decNumberIsNaN(lhs)) result=-1;
+ else if (!decNumberIsNaN(rhs)) result=+1;
+ // here if both NaNs
+ else if (decNumberIsSNaN(lhs) && decNumberIsQNaN(rhs)) result=-1;
+ else if (decNumberIsQNaN(lhs) && decNumberIsSNaN(rhs)) result=+1;
+ else { // both NaN or both sNaN
+ // now it just depends on the payload
+ result=decUnitCompare(lhs->lsu, D2U(lhs->digits),
+ rhs->lsu, D2U(rhs->digits), 0);
+ // [Error not possible, as these are 'aligned']
+ } // both same NaNs
+ if (decNumberIsNegative(lhs)) result=-result;
+ break;
+ } // total order
+
+ else if (merged & DECSNAN); // sNaN -> qNaN
+ else { // here if MIN or MAX and one or two quiet NaNs
+ // min or max -- 754 rules ignore single NaN
+ if (!decNumberIsNaN(lhs) || !decNumberIsNaN(rhs)) {
+ // just one NaN; force choice to be the non-NaN operand
+ op=COMPMAX;
+ if (lhs->bits & DECNAN) result=-1; // pick rhs
+ else result=+1; // pick lhs
+ break;
+ }
+ } // max or min
+ op=COMPNAN; // use special path
+ decNaNs(res, lhs, rhs, set, status); // propagate NaN
+ break;
+ }
+ // have numbers
+ if (op==COMPMAXMAG || op==COMPMINMAG) result=decCompare(lhs, rhs, 1);
+ else result=decCompare(lhs, rhs, 0); // sign matters
+ } while(0); // end protected
+
+ if (result==BADINT) *status|=DEC_Insufficient_storage; // rare
+ else {
+ if (op==COMPARE || op==COMPSIG ||op==COMPTOTAL) { // returning signum
+ if (op==COMPTOTAL && result==0) {
+ // operands are numerically equal or same NaN (and same sign,
+ // tested first); if identical, leave result 0
+ if (lhs->exponent!=rhs->exponent) {
+ if (lhs->exponentexponent) result=-1;
+ else result=+1;
+ if (decNumberIsNegative(lhs)) result=-result;
+ } // lexp!=rexp
+ } // total-order by exponent
+ decNumberZero(res); // [always a valid result]
+ if (result!=0) { // must be -1 or +1
+ *res->lsu=1;
+ if (result<0) res->bits=DECNEG;
+ }
+ }
+ else if (op==COMPNAN); // special, drop through
+ else { // MAX or MIN, non-NaN result
+ Int residue=0; // rounding accumulator
+ // choose the operand for the result
+ const decNumber *choice;
+ if (result==0) { // operands are numerically equal
+ // choose according to sign then exponent (see 754)
+ uByte slhs=(lhs->bits & DECNEG);
+ uByte srhs=(rhs->bits & DECNEG);
+ #if DECSUBSET
+ if (!set->extended) { // subset: force left-hand
+ op=COMPMAX;
+ result=+1;
+ }
+ else
+ #endif
+ if (slhs!=srhs) { // signs differ
+ if (slhs) result=-1; // rhs is max
+ else result=+1; // lhs is max
+ }
+ else if (slhs && srhs) { // both negative
+ if (lhs->exponentexponent) result=+1;
+ else result=-1;
+ // [if equal, use lhs, technically identical]
+ }
+ else { // both positive
+ if (lhs->exponent>rhs->exponent) result=+1;
+ else result=-1;
+ // [ditto]
+ }
+ } // numerically equal
+ // here result will be non-0; reverse if looking for MIN
+ if (op==COMPMIN || op==COMPMINMAG) result=-result;
+ choice=(result>0 ? lhs : rhs); // choose
+ // copy chosen to result, rounding if need be
+ decCopyFit(res, choice, set, &residue, status);
+ decFinish(res, set, &residue, status);
+ }
+ }
+ #if DECSUBSET
+ if (allocrhs!=NULL) free(allocrhs); // free any storage used
+ if (alloclhs!=NULL) free(alloclhs); // ..
+ #endif
+ return res;
+ } // decCompareOp
+
+/* ------------------------------------------------------------------ */
+/* decCompare -- compare two decNumbers by numerical value */
+/* */
+/* This routine compares A ? B without altering them. */
+/* */
+/* Arg1 is A, a decNumber which is not a NaN */
+/* Arg2 is B, a decNumber which is not a NaN */
+/* Arg3 is 1 for a sign-independent compare, 0 otherwise */
+/* */
+/* returns -1, 0, or 1 for AB, or BADINT if failure */
+/* (the only possible failure is an allocation error) */
+/* ------------------------------------------------------------------ */
+static Int decCompare(const decNumber *lhs, const decNumber *rhs,
+ Flag abs) {
+ Int result; // result value
+ Int sigr; // rhs signum
+ Int compare; // work
+
+ result=1; // assume signum(lhs)
+ if (ISZERO(lhs)) result=0;
+ if (abs) {
+ if (ISZERO(rhs)) return result; // LHS wins or both 0
+ // RHS is non-zero
+ if (result==0) return -1; // LHS is 0; RHS wins
+ // [here, both non-zero, result=1]
+ }
+ else { // signs matter
+ if (result && decNumberIsNegative(lhs)) result=-1;
+ sigr=1; // compute signum(rhs)
+ if (ISZERO(rhs)) sigr=0;
+ else if (decNumberIsNegative(rhs)) sigr=-1;
+ if (result > sigr) return +1; // L > R, return 1
+ if (result < sigr) return -1; // L < R, return -1
+ if (result==0) return 0; // both 0
+ }
+
+ // signums are the same; both are non-zero
+ if ((lhs->bits | rhs->bits) & DECINF) { // one or more infinities
+ if (decNumberIsInfinite(rhs)) {
+ if (decNumberIsInfinite(lhs)) result=0;// both infinite
+ else result=-result; // only rhs infinite
+ }
+ return result;
+ }
+ // must compare the coefficients, allowing for exponents
+ if (lhs->exponent>rhs->exponent) { // LHS exponent larger
+ // swap sides, and sign
+ const decNumber *temp=lhs;
+ lhs=rhs;
+ rhs=temp;
+ result=-result;
+ }
+ compare=decUnitCompare(lhs->lsu, D2U(lhs->digits),
+ rhs->lsu, D2U(rhs->digits),
+ rhs->exponent-lhs->exponent);
+ if (compare!=BADINT) compare*=result; // comparison succeeded
+ return compare;
+ } // decCompare
+
+/* ------------------------------------------------------------------ */
+/* decUnitCompare -- compare two >=0 integers in Unit arrays */
+/* */
+/* This routine compares A ? B*10**E where A and B are unit arrays */
+/* A is a plain integer */
+/* B has an exponent of E (which must be non-negative) */
+/* */
+/* Arg1 is A first Unit (lsu) */
+/* Arg2 is A length in Units */
+/* Arg3 is B first Unit (lsu) */
+/* Arg4 is B length in Units */
+/* Arg5 is E (0 if the units are aligned) */
+/* */
+/* returns -1, 0, or 1 for AB, or BADINT if failure */
+/* (the only possible failure is an allocation error, which can */
+/* only occur if E!=0) */
+/* ------------------------------------------------------------------ */
+static Int decUnitCompare(const Unit *a, Int alength,
+ const Unit *b, Int blength, Int exp) {
+ Unit *acc; // accumulator for result
+ Unit accbuff[SD2U(DECBUFFER*2+1)]; // local buffer
+ Unit *allocacc=NULL; // -> allocated acc buffer, iff allocated
+ Int accunits, need; // units in use or needed for acc
+ const Unit *l, *r, *u; // work
+ Int expunits, exprem, result; // ..
+
+ if (exp==0) { // aligned; fastpath
+ if (alength>blength) return 1;
+ if (alength=a; l--, r--) {
+ if (*l>*r) return 1;
+ if (*l<*r) return -1;
+ }
+ return 0; // all units match
+ } // aligned
+
+ // Unaligned. If one is >1 unit longer than the other, padded
+ // approximately, then can return easily
+ if (alength>blength+(Int)D2U(exp)) return 1;
+ if (alength+1sizeof(accbuff)) {
+ allocacc=(Unit *)malloc(need*sizeof(Unit));
+ if (allocacc==NULL) return BADINT; // hopeless -- abandon
+ acc=allocacc;
+ }
+ // Calculate units and remainder from exponent.
+ expunits=exp/DECDPUN;
+ exprem=exp%DECDPUN;
+ // subtract [A+B*(-m)]
+ accunits=decUnitAddSub(a, alength, b, blength, expunits, acc,
+ -(Int)powers[exprem]);
+ // [UnitAddSub result may have leading zeros, even on zero]
+ if (accunits<0) result=-1; // negative result
+ else { // non-negative result
+ // check units of the result before freeing any storage
+ for (u=acc; u=0 integers in Unit arrays */
+/* */
+/* This routine performs the calculation: */
+/* */
+/* C=A+(B*M) */
+/* */
+/* Where M is in the range -DECDPUNMAX through +DECDPUNMAX. */
+/* */
+/* A may be shorter or longer than B. */
+/* */
+/* Leading zeros are not removed after a calculation. The result is */
+/* either the same length as the longer of A and B (adding any */
+/* shift), or one Unit longer than that (if a Unit carry occurred). */
+/* */
+/* A and B content are not altered unless C is also A or B. */
+/* C may be the same array as A or B, but only if no zero padding is */
+/* requested (that is, C may be B only if bshift==0). */
+/* C is filled from the lsu; only those units necessary to complete */
+/* the calculation are referenced. */
+/* */
+/* Arg1 is A first Unit (lsu) */
+/* Arg2 is A length in Units */
+/* Arg3 is B first Unit (lsu) */
+/* Arg4 is B length in Units */
+/* Arg5 is B shift in Units (>=0; pads with 0 units if positive) */
+/* Arg6 is C first Unit (lsu) */
+/* Arg7 is M, the multiplier */
+/* */
+/* returns the count of Units written to C, which will be non-zero */
+/* and negated if the result is negative. That is, the sign of the */
+/* returned Int is the sign of the result (positive for zero) and */
+/* the absolute value of the Int is the count of Units. */
+/* */
+/* It is the caller's responsibility to make sure that C size is */
+/* safe, allowing space if necessary for a one-Unit carry. */
+/* */
+/* This routine is severely performance-critical; *any* change here */
+/* must be measured (timed) to assure no performance degradation. */
+/* In particular, trickery here tends to be counter-productive, as */
+/* increased complexity of code hurts register optimizations on */
+/* register-poor architectures. Avoiding divisions is nearly */
+/* always a Good Idea, however. */
+/* */
+/* Special thanks to Rick McGuire (IBM Cambridge, MA) and Dave Clark */
+/* (IBM Warwick, UK) for some of the ideas used in this routine. */
+/* ------------------------------------------------------------------ */
+static Int decUnitAddSub(const Unit *a, Int alength,
+ const Unit *b, Int blength, Int bshift,
+ Unit *c, Int m) {
+ const Unit *alsu=a; // A lsu [need to remember it]
+ Unit *clsu=c; // C ditto
+ Unit *minC; // low water mark for C
+ Unit *maxC; // high water mark for C
+ eInt carry=0; // carry integer (could be Long)
+ Int add; // work
+ #if DECDPUN<=4 // myriadal, millenary, etc.
+ Int est; // estimated quotient
+ #endif
+
+ #if DECTRACE
+ if (alength<1 || blength<1)
+ printf("decUnitAddSub: alen blen m %ld %ld [%ld]\n", alength, blength, m);
+ #endif
+
+ maxC=c+alength; // A is usually the longer
+ minC=c+blength; // .. and B the shorter
+ if (bshift!=0) { // B is shifted; low As copy across
+ minC+=bshift;
+ // if in place [common], skip copy unless there's a gap [rare]
+ if (a==c && bshift<=alength) {
+ c+=bshift;
+ a+=bshift;
+ }
+ else for (; cmaxC) { // swap
+ Unit *hold=minC;
+ minC=maxC;
+ maxC=hold;
+ }
+
+ // For speed, do the addition as two loops; the first where both A
+ // and B contribute, and the second (if necessary) where only one or
+ // other of the numbers contribute.
+ // Carry handling is the same (i.e., duplicated) in each case.
+ for (; c=0) {
+ est=(((ueInt)carry>>11)*53687)>>18;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // likely quotient [89%]
+ if (*c>11)*53687)>>18;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ if (*c=0) {
+ est=(((ueInt)carry>>3)*16777)>>21;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // likely quotient [99%]
+ if (*c>3)*16777)>>21;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ if (*c=0) {
+ est=QUOT10(carry, DECDPUN);
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // quotient
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ est=QUOT10(carry, DECDPUN);
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ #else
+ // remainder operator is undefined if negative, so must test
+ if ((ueInt)carry<(DECDPUNMAX+1)*2) { // fastpath carry +1
+ *c=(Unit)(carry-(DECDPUNMAX+1)); // [helps additions]
+ carry=1;
+ continue;
+ }
+ if (carry>=0) {
+ *c=(Unit)(carry%(DECDPUNMAX+1));
+ carry=carry/(DECDPUNMAX+1);
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ *c=(Unit)(carry%(DECDPUNMAX+1));
+ carry=carry/(DECDPUNMAX+1)-(DECDPUNMAX+1);
+ #endif
+ } // c
+
+ // now may have one or other to complete
+ // [pretest to avoid loop setup/shutdown]
+ if (cDECDPUNMAX
+ #if DECDPUN==4 // use divide-by-multiply
+ if (carry>=0) {
+ est=(((ueInt)carry>>11)*53687)>>18;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // likely quotient [79.7%]
+ if (*c>11)*53687)>>18;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ if (*c=0) {
+ est=(((ueInt)carry>>3)*16777)>>21;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // likely quotient [99%]
+ if (*c>3)*16777)>>21;
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ if (*c=0) {
+ est=QUOT10(carry, DECDPUN);
+ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder
+ carry=est; // quotient
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ est=QUOT10(carry, DECDPUN);
+ *c=(Unit)(carry-est*(DECDPUNMAX+1));
+ carry=est-(DECDPUNMAX+1); // correctly negative
+ #else
+ if ((ueInt)carry<(DECDPUNMAX+1)*2){ // fastpath carry 1
+ *c=(Unit)(carry-(DECDPUNMAX+1));
+ carry=1;
+ continue;
+ }
+ // remainder operator is undefined if negative, so must test
+ if (carry>=0) {
+ *c=(Unit)(carry%(DECDPUNMAX+1));
+ carry=carry/(DECDPUNMAX+1);
+ continue;
+ }
+ // negative case
+ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive
+ *c=(Unit)(carry%(DECDPUNMAX+1));
+ carry=carry/(DECDPUNMAX+1)-(DECDPUNMAX+1);
+ #endif
+ } // c
+
+ // OK, all A and B processed; might still have carry or borrow
+ // return number of Units in the result, negated if a borrow
+ if (carry==0) return c-clsu; // no carry, so no more to do
+ if (carry>0) { // positive carry
+ *c=(Unit)carry; // place as new unit
+ c++; // ..
+ return c-clsu;
+ }
+ // -ve carry: it's a borrow; complement needed
+ add=1; // temporary carry...
+ for (c=clsu; c current Unit
+
+ #if DECCHECK
+ if (decCheckOperands(dn, DECUNUSED, DECUNUSED, DECUNCONT)) return dn;
+ #endif
+
+ *dropped=0; // assume no zeros dropped
+ if ((dn->bits & DECSPECIAL) // fast exit if special ..
+ || (*dn->lsu & 0x01)) return dn; // .. or odd
+ if (ISZERO(dn)) { // .. or 0
+ dn->exponent=0; // (sign is preserved)
+ return dn;
+ }
+
+ // have a finite number which is even
+ exp=dn->exponent;
+ cut=1; // digit (1-DECDPUN) in Unit
+ up=dn->lsu; // -> current Unit
+ for (d=0; ddigits-1; d++) { // [don't strip the final digit]
+ // slice by powers
+ #if DECDPUN<=4
+ uInt quot=QUOT10(*up, cut);
+ if ((*up-quot*powers[cut])!=0) break; // found non-0 digit
+ #else
+ if (*up%powers[cut]!=0) break; // found non-0 digit
+ #endif
+ // have a trailing 0
+ if (!all) { // trimming
+ // [if exp>0 then all trailing 0s are significant for trim]
+ if (exp<=0) { // if digit might be significant
+ if (exp==0) break; // then quit
+ exp++; // next digit might be significant
+ }
+ }
+ cut++; // next power
+ if (cut>DECDPUN) { // need new Unit
+ up++;
+ cut=1;
+ }
+ } // d
+ if (d==0) return dn; // none to drop
+
+ // may need to limit drop if clamping
+ if (set->clamp && !noclamp) {
+ Int maxd=set->emax-set->digits+1-dn->exponent;
+ if (maxd<=0) return dn; // nothing possible
+ if (d>maxd) d=maxd;
+ }
+
+ // effect the drop
+ decShiftToLeast(dn->lsu, D2U(dn->digits), d);
+ dn->exponent+=d; // maintain numerical value
+ dn->digits-=d; // new length
+ *dropped=d; // report the count
+ return dn;
+ } // decTrim
+
+/* ------------------------------------------------------------------ */
+/* decReverse -- reverse a Unit array in place */
+/* */
+/* ulo is the start of the array */
+/* uhi is the end of the array (highest Unit to include) */
+/* */
+/* The units ulo through uhi are reversed in place (if the number */
+/* of units is odd, the middle one is untouched). Note that the */
+/* digit(s) in each unit are unaffected. */
+/* ------------------------------------------------------------------ */
+static void decReverse(Unit *ulo, Unit *uhi) {
+ Unit temp;
+ for (; ulo=uar; source--, target--) *target=*source;
+ }
+ else {
+ first=uar+D2U(digits+shift)-1; // where msu of source will end up
+ for (; source>=uar; source--, target--) {
+ // split the source Unit and accumulate remainder for next
+ #if DECDPUN<=4
+ uInt quot=QUOT10(*source, cut);
+ uInt rem=*source-quot*powers[cut];
+ next+=quot;
+ #else
+ uInt rem=*source%powers[cut];
+ next+=*source/powers[cut];
+ #endif
+ if (target<=first) *target=(Unit)next; // write to target iff valid
+ next=rem*powers[DECDPUN-cut]; // save remainder for next Unit
+ }
+ } // shift-move
+
+ // propagate any partial unit to one below and clear the rest
+ for (; target>=uar; target--) {
+ *target=(Unit)next;
+ next=0;
+ }
+ return digits+shift;
+ } // decShiftToMost
+
+/* ------------------------------------------------------------------ */
+/* decShiftToLeast -- shift digits in array towards least significant */
+/* */
+/* uar is the array */
+/* units is length of the array, in units */
+/* shift is the number of digits to remove from the lsu end; it */
+/* must be zero or positive and <= than units*DECDPUN. */
+/* */
+/* returns the new length of the integer in the array, in units */
+/* */
+/* Removed digits are discarded (lost). Units not required to hold */
+/* the final result are unchanged. */
+/* ------------------------------------------------------------------ */
+static Int decShiftToLeast(Unit *uar, Int units, Int shift) {
+ Unit *target, *up; // work
+ Int cut, count; // work
+ Int quot, rem; // for division
+
+ if (shift==0) return units; // [fastpath] nothing to do
+ if (shift==units*DECDPUN) { // [fastpath] little to do
+ *uar=0; // all digits cleared gives zero
+ return 1; // leaves just the one
+ }
+
+ target=uar; // both paths
+ cut=MSUDIGITS(shift);
+ if (cut==DECDPUN) { // unit-boundary case; easy
+ up=uar+D2U(shift);
+ for (; updigits is > set->digits) */
+/* set is the relevant context */
+/* status is the status accumulator */
+/* */
+/* returns an allocated decNumber with the rounded result. */
+/* */
+/* lostDigits and other status may be set by this. */
+/* */
+/* Since the input is an operand, it must not be modified. */
+/* Instead, return an allocated decNumber, rounded as required. */
+/* It is the caller's responsibility to free the allocated storage. */
+/* */
+/* If no storage is available then the result cannot be used, so NULL */
+/* is returned. */
+/* ------------------------------------------------------------------ */
+static decNumber *decRoundOperand(const decNumber *dn, decContext *set,
+ uInt *status) {
+ decNumber *res; // result structure
+ uInt newstatus=0; // status from round
+ Int residue=0; // rounding accumulator
+
+ // Allocate storage for the returned decNumber, big enough for the
+ // length specified by the context
+ res=(decNumber *)malloc(sizeof(decNumber)
+ +(D2U(set->digits)-1)*sizeof(Unit));
+ if (res==NULL) {
+ *status|=DEC_Insufficient_storage;
+ return NULL;
+ }
+ decCopyFit(res, dn, set, &residue, &newstatus);
+ decApplyRound(res, set, residue, &newstatus);
+
+ // If that set Inexact then "lost digits" is raised...
+ if (newstatus & DEC_Inexact) newstatus|=DEC_Lost_digits;
+ *status|=newstatus;
+ return res;
+ } // decRoundOperand
+#endif
+
+/* ------------------------------------------------------------------ */
+/* decCopyFit -- copy a number, truncating the coefficient if needed */
+/* */
+/* dest is the target decNumber */
+/* src is the source decNumber */
+/* set is the context [used for length (digits) and rounding mode] */
+/* residue is the residue accumulator */
+/* status contains the current status to be updated */
+/* */
+/* (dest==src is allowed and will be a no-op if fits) */
+/* All fields are updated as required. */
+/* ------------------------------------------------------------------ */
+static void decCopyFit(decNumber *dest, const decNumber *src,
+ decContext *set, Int *residue, uInt *status) {
+ dest->bits=src->bits;
+ dest->exponent=src->exponent;
+ decSetCoeff(dest, set, src->lsu, src->digits, residue, status);
+ } // decCopyFit
+
+/* ------------------------------------------------------------------ */
+/* decSetCoeff -- set the coefficient of a number */
+/* */
+/* dn is the number whose coefficient array is to be set. */
+/* It must have space for set->digits digits */
+/* set is the context [for size] */
+/* lsu -> lsu of the source coefficient [may be dn->lsu] */
+/* len is digits in the source coefficient [may be dn->digits] */
+/* residue is the residue accumulator. This has values as in */
+/* decApplyRound, and will be unchanged unless the */
+/* target size is less than len. In this case, the */
+/* coefficient is truncated and the residue is updated to */
+/* reflect the previous residue and the dropped digits. */
+/* status is the status accumulator, as usual */
+/* */
+/* The coefficient may already be in the number, or it can be an */
+/* external intermediate array. If it is in the number, lsu must == */
+/* dn->lsu and len must == dn->digits. */
+/* */
+/* Note that the coefficient length (len) may be < set->digits, and */
+/* in this case this merely copies the coefficient (or is a no-op */
+/* if dn->lsu==lsu). */
+/* */
+/* Note also that (only internally, from decQuantizeOp and */
+/* decSetSubnormal) the value of set->digits may be less than one, */
+/* indicating a round to left. This routine handles that case */
+/* correctly; caller ensures space. */
+/* */
+/* dn->digits, dn->lsu (and as required), and dn->exponent are */
+/* updated as necessary. dn->bits (sign) is unchanged. */
+/* */
+/* DEC_Rounded status is set if any digits are discarded. */
+/* DEC_Inexact status is set if any non-zero digits are discarded, or */
+/* incoming residue was non-0 (implies rounded) */
+/* ------------------------------------------------------------------ */
+// mapping array: maps 0-9 to canonical residues, so that a residue
+// can be adjusted in the range [-1, +1] and achieve correct rounding
+// 0 1 2 3 4 5 6 7 8 9
+static const uByte resmap[10]={0, 3, 3, 3, 3, 5, 7, 7, 7, 7};
+static void decSetCoeff(decNumber *dn, decContext *set, const Unit *lsu,
+ Int len, Int *residue, uInt *status) {
+ Int discard; // number of digits to discard
+ uInt cut; // cut point in Unit
+ const Unit *up; // work
+ Unit *target; // ..
+ Int count; // ..
+ #if DECDPUN<=4
+ uInt temp; // ..
+ #endif
+
+ discard=len-set->digits; // digits to discard
+ if (discard<=0) { // no digits are being discarded
+ if (dn->lsu!=lsu) { // copy needed
+ // copy the coefficient array to the result number; no shift needed
+ count=len; // avoids D2U
+ up=lsu;
+ for (target=dn->lsu; count>0; target++, up++, count-=DECDPUN)
+ *target=*up;
+ dn->digits=len; // set the new length
+ }
+ // dn->exponent and residue are unchanged, record any inexactitude
+ if (*residue!=0) *status|=(DEC_Inexact | DEC_Rounded);
+ return;
+ }
+
+ // some digits must be discarded ...
+ dn->exponent+=discard; // maintain numerical value
+ *status|=DEC_Rounded; // accumulate Rounded status
+ if (*residue>1) *residue=1; // previous residue now to right, so reduce
+
+ if (discard>len) { // everything, +1, is being discarded
+ // guard digit is 0
+ // residue is all the number [NB could be all 0s]
+ if (*residue<=0) { // not already positive
+ count=len; // avoids D2U
+ for (up=lsu; count>0; up++, count-=DECDPUN) if (*up!=0) { // found non-0
+ *residue=1;
+ break; // no need to check any others
+ }
+ }
+ if (*residue!=0) *status|=DEC_Inexact; // record inexactitude
+ *dn->lsu=0; // coefficient will now be 0
+ dn->digits=1; // ..
+ return;
+ } // total discard
+
+ // partial discard [most common case]
+ // here, at least the first (most significant) discarded digit exists
+
+ // spin up the number, noting residue during the spin, until get to
+ // the Unit with the first discarded digit. When reach it, extract
+ // it and remember its position
+ count=0;
+ for (up=lsu;; up++) {
+ count+=DECDPUN;
+ if (count>=discard) break; // full ones all checked
+ if (*up!=0) *residue=1;
+ } // up
+
+ // here up -> Unit with first discarded digit
+ cut=discard-(count-DECDPUN)-1;
+ if (cut==DECDPUN-1) { // unit-boundary case (fast)
+ Unit half=(Unit)powers[DECDPUN]>>1;
+ // set residue directly
+ if (*up>=half) {
+ if (*up>half) *residue=7;
+ else *residue+=5; // add sticky bit
+ }
+ else { // digits<=0) { // special for Quantize/Subnormal :-(
+ *dn->lsu=0; // .. result is 0
+ dn->digits=1; // ..
+ }
+ else { // shift to least
+ count=set->digits; // now digits to end up with
+ dn->digits=count; // set the new length
+ up++; // move to next
+ // on unit boundary, so shift-down copy loop is simple
+ for (target=dn->lsu; count>0; target++, up++, count-=DECDPUN)
+ *target=*up;
+ }
+ } // unit-boundary case
+
+ else { // discard digit is in low digit(s), and not top digit
+ uInt discard1; // first discarded digit
+ uInt quot, rem; // for divisions
+ if (cut==0) quot=*up; // is at bottom of unit
+ else /* cut>0 */ { // it's not at bottom of unit
+ #if DECDPUN<=4
+ quot=QUOT10(*up, cut);
+ rem=*up-quot*powers[cut];
+ #else
+ rem=*up%powers[cut];
+ quot=*up/powers[cut];
+ #endif
+ if (rem!=0) *residue=1;
+ }
+ // discard digit is now at bottom of quot
+ #if DECDPUN<=4
+ temp=(quot*6554)>>16; // fast /10
+ // Vowels algorithm here not a win (9 instructions)
+ discard1=quot-X10(temp);
+ quot=temp;
+ #else
+ discard1=quot%10;
+ quot=quot/10;
+ #endif
+ // here, discard1 is the guard digit, and residue is everything
+ // else [use mapping array to accumulate residue safely]
+ *residue+=resmap[discard1];
+ cut++; // update cut
+ // here: up -> Unit of the array with bottom digit
+ // cut is the division point for each Unit
+ // quot holds the uncut high-order digits for the current unit
+ if (set->digits<=0) { // special for Quantize/Subnormal :-(
+ *dn->lsu=0; // .. result is 0
+ dn->digits=1; // ..
+ }
+ else { // shift to least needed
+ count=set->digits; // now digits to end up with
+ dn->digits=count; // set the new length
+ // shift-copy the coefficient array to the result number
+ for (target=dn->lsu; ; target++) {
+ *target=(Unit)quot;
+ count-=(DECDPUN-cut);
+ if (count<=0) break;
+ up++;
+ quot=*up;
+ #if DECDPUN<=4
+ quot=QUOT10(quot, cut);
+ rem=*up-quot*powers[cut];
+ #else
+ rem=quot%powers[cut];
+ quot=quot/powers[cut];
+ #endif
+ *target=(Unit)(*target+rem*powers[DECDPUN-cut]);
+ count-=cut;
+ if (count<=0) break;
+ } // shift-copy loop
+ } // shift to least
+ } // not unit boundary
+
+ if (*residue!=0) *status|=DEC_Inexact; // record inexactitude
+ return;
+ } // decSetCoeff
+
+/* ------------------------------------------------------------------ */
+/* decApplyRound -- apply pending rounding to a number */
+/* */
+/* dn is the number, with space for set->digits digits */
+/* set is the context [for size and rounding mode] */
+/* residue indicates pending rounding, being any accumulated */
+/* guard and sticky information. It may be: */
+/* 6-9: rounding digit is >5 */
+/* 5: rounding digit is exactly half-way */
+/* 1-4: rounding digit is <5 and >0 */
+/* 0: the coefficient is exact */
+/* -1: as 1, but the hidden digits are subtractive, that */
+/* is, of the opposite sign to dn. In this case the */
+/* coefficient must be non-0. This case occurs when */
+/* subtracting a small number (which can be reduced to */
+/* a sticky bit); see decAddOp. */
+/* status is the status accumulator, as usual */
+/* */
+/* This routine applies rounding while keeping the length of the */
+/* coefficient constant. The exponent and status are unchanged */
+/* except if: */
+/* */
+/* -- the coefficient was increased and is all nines (in which */
+/* case Overflow could occur, and is handled directly here so */
+/* the caller does not need to re-test for overflow) */
+/* */
+/* -- the coefficient was decreased and becomes all nines (in which */
+/* case Underflow could occur, and is also handled directly). */
+/* */
+/* All fields in dn are updated as required. */
+/* */
+/* ------------------------------------------------------------------ */
+static void decApplyRound(decNumber *dn, decContext *set, Int residue,
+ uInt *status) {
+ Int bump; // 1 if coefficient needs to be incremented
+ // -1 if coefficient needs to be decremented
+
+ if (residue==0) return; // nothing to apply
+
+ bump=0; // assume a smooth ride
+
+ // now decide whether, and how, to round, depending on mode
+ switch (set->round) {
+ case DEC_ROUND_05UP: { // round zero or five up (for reround)
+ // This is the same as DEC_ROUND_DOWN unless there is a
+ // positive residue and the lsd of dn is 0 or 5, in which case
+ // it is bumped; when residue is <0, the number is therefore
+ // bumped down unless the final digit was 1 or 6 (in which
+ // case it is bumped down and then up -- a no-op)
+ Int lsd5=*dn->lsu%5; // get lsd and quintate
+ if (residue<0 && lsd5!=1) bump=-1;
+ else if (residue>0 && lsd5==0) bump=1;
+ // [bump==1 could be applied directly; use common path for clarity]
+ break;} // r-05
+
+ case DEC_ROUND_DOWN: {
+ // no change, except if negative residue
+ if (residue<0) bump=-1;
+ break;} // r-d
+
+ case DEC_ROUND_HALF_DOWN: {
+ if (residue>5) bump=1;
+ break;} // r-h-d
+
+ case DEC_ROUND_HALF_EVEN: {
+ if (residue>5) bump=1; // >0.5 goes up
+ else if (residue==5) { // exactly 0.5000...
+ // 0.5 goes up iff [new] lsd is odd
+ if (*dn->lsu & 0x01) bump=1;
+ }
+ break;} // r-h-e
+
+ case DEC_ROUND_HALF_UP: {
+ if (residue>=5) bump=1;
+ break;} // r-h-u
+
+ case DEC_ROUND_UP: {
+ if (residue>0) bump=1;
+ break;} // r-u
+
+ case DEC_ROUND_CEILING: {
+ // same as _UP for positive numbers, and as _DOWN for negatives
+ // [negative residue cannot occur on 0]
+ if (decNumberIsNegative(dn)) {
+ if (residue<0) bump=-1;
+ }
+ else {
+ if (residue>0) bump=1;
+ }
+ break;} // r-c
+
+ case DEC_ROUND_FLOOR: {
+ // same as _UP for negative numbers, and as _DOWN for positive
+ // [negative residue cannot occur on 0]
+ if (!decNumberIsNegative(dn)) {
+ if (residue<0) bump=-1;
+ }
+ else {
+ if (residue>0) bump=1;
+ }
+ break;} // r-f
+
+ default: { // e.g., DEC_ROUND_MAX
+ *status|=DEC_Invalid_context;
+ #if DECTRACE || (DECCHECK && DECVERB)
+ printf("Unknown rounding mode: %d\n", set->round);
+ #endif
+ break;}
+ } // switch
+
+ // now bump the number, up or down, if need be
+ if (bump==0) return; // no action required
+
+ // Simply use decUnitAddSub unless bumping up and the number is
+ // all nines. In this special case set to 100... explicitly
+ // and adjust the exponent by one (as otherwise could overflow
+ // the array)
+ // Similarly handle all-nines result if bumping down.
+ if (bump>0) {
+ Unit *up; // work
+ uInt count=dn->digits; // digits to be checked
+ for (up=dn->lsu; ; up++) {
+ if (count<=DECDPUN) {
+ // this is the last Unit (the msu)
+ if (*up!=powers[count]-1) break; // not still 9s
+ // here if it, too, is all nines
+ *up=(Unit)powers[count-1]; // here 999 -> 100 etc.
+ for (up=up-1; up>=dn->lsu; up--) *up=0; // others all to 0
+ dn->exponent++; // and bump exponent
+ // [which, very rarely, could cause Overflow...]
+ if ((dn->exponent+dn->digits)>set->emax+1) {
+ decSetOverflow(dn, set, status);
+ }
+ return; // done
+ }
+ // a full unit to check, with more to come
+ if (*up!=DECDPUNMAX) break; // not still 9s
+ count-=DECDPUN;
+ } // up
+ } // bump>0
+ else { // -1
+ // here checking for a pre-bump of 1000... (leading 1, all
+ // other digits zero)
+ Unit *up, *sup; // work
+ uInt count=dn->digits; // digits to be checked
+ for (up=dn->lsu; ; up++) {
+ if (count<=DECDPUN) {
+ // this is the last Unit (the msu)
+ if (*up!=powers[count-1]) break; // not 100..
+ // here if have the 1000... case
+ sup=up; // save msu pointer
+ *up=(Unit)powers[count]-1; // here 100 in msu -> 999
+ // others all to all-nines, too
+ for (up=up-1; up>=dn->lsu; up--) *up=(Unit)powers[DECDPUN]-1;
+ dn->exponent--; // and bump exponent
+
+ // iff the number was at the subnormal boundary (exponent=etiny)
+ // then the exponent is now out of range, so it will in fact get
+ // clamped to etiny and the final 9 dropped.
+ // printf(">> emin=%d exp=%d sdig=%d\n", set->emin,
+ // dn->exponent, set->digits);
+ if (dn->exponent+1==set->emin-set->digits+1) {
+ if (count==1 && dn->digits==1) *sup=0; // here 9 -> 0[.9]
+ else {
+ *sup=(Unit)powers[count-1]-1; // here 999.. in msu -> 99..
+ dn->digits--;
+ }
+ dn->exponent++;
+ *status|=DEC_Underflow | DEC_Subnormal | DEC_Inexact | DEC_Rounded;
+ }
+ return; // done
+ }
+
+ // a full unit to check, with more to come
+ if (*up!=0) break; // not still 0s
+ count-=DECDPUN;
+ } // up
+
+ } // bump<0
+
+ // Actual bump needed. Do it.
+ decUnitAddSub(dn->lsu, D2U(dn->digits), uarrone, 1, 0, dn->lsu, bump);
+ } // decApplyRound
+
+#if DECSUBSET
+/* ------------------------------------------------------------------ */
+/* decFinish -- finish processing a number */
+/* */
+/* dn is the number */
+/* set is the context */
+/* residue is the rounding accumulator (as in decApplyRound) */
+/* status is the accumulator */
+/* */
+/* This finishes off the current number by: */
+/* 1. If not extended: */
+/* a. Converting a zero result to clean '0' */
+/* b. Reducing positive exponents to 0, if would fit in digits */
+/* 2. Checking for overflow and subnormals (always) */
+/* Note this is just Finalize when no subset arithmetic. */
+/* All fields are updated as required. */
+/* ------------------------------------------------------------------ */
+static void decFinish(decNumber *dn, decContext *set, Int *residue,
+ uInt *status) {
+ if (!set->extended) {
+ if ISZERO(dn) { // value is zero
+ dn->exponent=0; // clean exponent ..
+ dn->bits=0; // .. and sign
+ return; // no error possible
+ }
+ if (dn->exponent>=0) { // non-negative exponent
+ // >0; reduce to integer if possible
+ if (set->digits >= (dn->exponent+dn->digits)) {
+ dn->digits=decShiftToMost(dn->lsu, dn->digits, dn->exponent);
+ dn->exponent=0;
+ }
+ }
+ } // !extended
+
+ decFinalize(dn, set, residue, status);
+ } // decFinish
+#endif
+
+/* ------------------------------------------------------------------ */
+/* decFinalize -- final check, clamp, and round of a number */
+/* */
+/* dn is the number */
+/* set is the context */
+/* residue is the rounding accumulator (as in decApplyRound) */
+/* status is the status accumulator */
+/* */
+/* This finishes off the current number by checking for subnormal */
+/* results, applying any pending rounding, checking for overflow, */
+/* and applying any clamping. */
+/* Underflow and overflow conditions are raised as appropriate. */
+/* All fields are updated as required. */
+/* ------------------------------------------------------------------ */
+static void decFinalize(decNumber *dn, decContext *set, Int *residue,
+ uInt *status) {
+ Int shift; // shift needed if clamping
+ Int tinyexp=set->emin-dn->digits+1; // precalculate subnormal boundary
+
+ // Must be careful, here, when checking the exponent as the
+ // adjusted exponent could overflow 31 bits [because it may already
+ // be up to twice the expected].
+
+ // First test for subnormal. This must be done before any final
+ // round as the result could be rounded to Nmin or 0.
+ if (dn->exponent<=tinyexp) { // prefilter
+ Int comp;
+ decNumber nmin;
+ // A very nasty case here is dn == Nmin and residue<0
+ if (dn->exponentemin;
+ comp=decCompare(dn, &nmin, 1); // (signless compare)
+ if (comp==BADINT) { // oops
+ *status|=DEC_Insufficient_storage; // abandon...
+ return;
+ }
+ if (*residue<0 && comp==0) { // neg residue and dn==Nmin
+ decApplyRound(dn, set, *residue, status); // might force down
+ decSetSubnormal(dn, set, residue, status);
+ return;
+ }
+ }
+
+ // now apply any pending round (this could raise overflow).
+ if (*residue!=0) decApplyRound(dn, set, *residue, status);
+
+ // Check for overflow [redundant in the 'rare' case] or clamp
+ if (dn->exponent<=set->emax-set->digits+1) return; // neither needed
+
+
+ // here when might have an overflow or clamp to do
+ if (dn->exponent>set->emax-dn->digits+1) { // too big
+ decSetOverflow(dn, set, status);
+ return;
+ }
+ // here when the result is normal but in clamp range
+ if (!set->clamp) return;
+
+ // here when need to apply the IEEE exponent clamp (fold-down)
+ shift=dn->exponent-(set->emax-set->digits+1);
+
+ // shift coefficient (if non-zero)
+ if (!ISZERO(dn)) {
+ dn->digits=decShiftToMost(dn->lsu, dn->digits, shift);
+ }
+ dn->exponent-=shift; // adjust the exponent to match
+ *status|=DEC_Clamped; // and record the dirty deed
+ return;
+ } // decFinalize
+
+/* ------------------------------------------------------------------ */
+/* decSetOverflow -- set number to proper overflow value */
+/* */
+/* dn is the number (used for sign [only] and result) */
+/* set is the context [used for the rounding mode, etc.] */
+/* status contains the current status to be updated */
+/* */
+/* This sets the sign of a number and sets its value to either */
+/* Infinity or the maximum finite value, depending on the sign of */
+/* dn and the rounding mode, following IEEE 754 rules. */
+/* ------------------------------------------------------------------ */
+static void decSetOverflow(decNumber *dn, decContext *set, uInt *status) {
+ Flag needmax=0; // result is maximum finite value
+ uByte sign=dn->bits&DECNEG; // clean and save sign bit
+
+ if (ISZERO(dn)) { // zero does not overflow magnitude
+ Int emax=set->emax; // limit value
+ if (set->clamp) emax-=set->digits-1; // lower if clamping
+ if (dn->exponent>emax) { // clamp required
+ dn->exponent=emax;
+ *status|=DEC_Clamped;
+ }
+ return;
+ }
+
+ decNumberZero(dn);
+ switch (set->round) {
+ case DEC_ROUND_DOWN: {
+ needmax=1; // never Infinity
+ break;} // r-d
+ case DEC_ROUND_05UP: {
+ needmax=1; // never Infinity
+ break;} // r-05
+ case DEC_ROUND_CEILING: {
+ if (sign) needmax=1; // Infinity if non-negative
+ break;} // r-c
+ case DEC_ROUND_FLOOR: {
+ if (!sign) needmax=1; // Infinity if negative
+ break;} // r-f
+ default: break; // Infinity in all other cases
+ }
+ if (needmax) {
+ decSetMaxValue(dn, set);
+ dn->bits=sign; // set sign
+ }
+ else dn->bits=sign|DECINF; // Value is +/-Infinity
+ *status|=DEC_Overflow | DEC_Inexact | DEC_Rounded;
+ } // decSetOverflow
+
+/* ------------------------------------------------------------------ */
+/* decSetMaxValue -- set number to +Nmax (maximum normal value) */
+/* */
+/* dn is the number to set */
+/* set is the context [used for digits and emax] */
+/* */
+/* This sets the number to the maximum positive value. */
+/* ------------------------------------------------------------------ */
+static void decSetMaxValue(decNumber *dn, decContext *set) {
+ Unit *up; // work
+ Int count=set->digits; // nines to add
+ dn->digits=count;
+ // fill in all nines to set maximum value
+ for (up=dn->lsu; ; up++) {
+ if (count>DECDPUN) *up=DECDPUNMAX; // unit full o'nines
+ else { // this is the msu
+ *up=(Unit)(powers[count]-1);
+ break;
+ }
+ count-=DECDPUN; // filled those digits
+ } // up
+ dn->bits=0; // + sign
+ dn->exponent=set->emax-set->digits+1;
+ } // decSetMaxValue
+
+/* ------------------------------------------------------------------ */
+/* decSetSubnormal -- process value whose exponent is extended) {
+ decNumberZero(dn);
+ // always full overflow
+ *status|=DEC_Underflow | DEC_Subnormal | DEC_Inexact | DEC_Rounded;
+ return;
+ }
+ #endif
+
+ // Full arithmetic -- allow subnormals, rounded to minimum exponent
+ // (Etiny) if needed
+ etiny=set->emin-(set->digits-1); // smallest allowed exponent
+
+ if ISZERO(dn) { // value is zero
+ // residue can never be non-zero here
+ #if DECCHECK
+ if (*residue!=0) {
+ printf("++ Subnormal 0 residue %ld\n", (LI)*residue);
+ *status|=DEC_Invalid_operation;
+ }
+ #endif
+ if (dn->exponentexponent=etiny;
+ *status|=DEC_Clamped;
+ }
+ return;
+ }
+
+ *status|=DEC_Subnormal; // have a non-zero subnormal
+ adjust=etiny-dn->exponent; // calculate digits to remove
+ if (adjust<=0) { // not out of range; unrounded
+ // residue can never be non-zero here, except in the Nmin-residue
+ // case (which is a subnormal result), so can take fast-path here
+ // it may already be inexact (from setting the coefficient)
+ if (*status&DEC_Inexact) *status|=DEC_Underflow;
+ return;
+ }
+
+ // adjust>0, so need to rescale the result so exponent becomes Etiny
+ // [this code is similar to that in rescale]
+ workset=*set; // clone rounding, etc.
+ workset.digits=dn->digits-adjust; // set requested length
+ workset.emin-=adjust; // and adjust emin to match
+ // [note that the latter can be <1, here, similar to Rescale case]
+ decSetCoeff(dn, &workset, dn->lsu, dn->digits, residue, status);
+ decApplyRound(dn, &workset, *residue, status);
+
+ // Use 754 default rule: Underflow is set iff Inexact
+ // [independent of whether trapped]
+ if (*status&DEC_Inexact) *status|=DEC_Underflow;
+
+ // if rounded up a 999s case, exponent will be off by one; adjust
+ // back if so [it will fit, because it was shortened earlier]
+ if (dn->exponent>etiny) {
+ dn->digits=decShiftToMost(dn->lsu, dn->digits, 1);
+ dn->exponent--; // (re)adjust the exponent.
+ }
+
+ // if rounded to zero, it is by definition clamped...
+ if (ISZERO(dn)) *status|=DEC_Clamped;
+ } // decSetSubnormal
+
+/* ------------------------------------------------------------------ */
+/* decCheckMath - check entry conditions for a math function */
+/* */
+/* This checks the context and the operand */
+/* */
+/* rhs is the operand to check */
+/* set is the context to check */
+/* status is unchanged if both are good */
+/* */
+/* returns non-zero if status is changed, 0 otherwise */
+/* */
+/* Restrictions enforced: */
+/* */
+/* digits, emax, and -emin in the context must be less than */
+/* DEC_MAX_MATH (999999), and A must be within these bounds if */
+/* non-zero. Invalid_operation is set in the status if a */
+/* restriction is violated. */
+/* ------------------------------------------------------------------ */
+static uInt decCheckMath(const decNumber *rhs, decContext *set,
+ uInt *status) {
+ uInt save=*status; // record
+ if (set->digits>DEC_MAX_MATH
+ || set->emax>DEC_MAX_MATH
+ || -set->emin>DEC_MAX_MATH) *status|=DEC_Invalid_context;
+ else if ((rhs->digits>DEC_MAX_MATH
+ || rhs->exponent+rhs->digits>DEC_MAX_MATH+1
+ || rhs->exponent+rhs->digits<2*(1-DEC_MAX_MATH))
+ && !ISZERO(rhs)) *status|=DEC_Invalid_operation;
+ return (*status!=save);
+ } // decCheckMath
+
+/* ------------------------------------------------------------------ */
+/* decGetInt -- get integer from a number */
+/* */
+/* dn is the number [which will not be altered] */
+/* */
+/* returns one of: */
+/* BADINT if there is a non-zero fraction */
+/* the converted integer */
+/* BIGEVEN if the integer is even and magnitude > 2*10**9 */
+/* BIGODD if the integer is odd and magnitude > 2*10**9 */
+/* */
+/* This checks and gets a whole number from the input decNumber. */
+/* The sign can be determined from dn by the caller when BIGEVEN or */
+/* BIGODD is returned. */
+/* ------------------------------------------------------------------ */
+static Int decGetInt(const decNumber *dn) {
+ Int theInt; // result accumulator
+ const Unit *up; // work
+ Int got; // digits (real or not) processed
+ Int ilength=dn->digits+dn->exponent; // integral length
+ Flag neg=decNumberIsNegative(dn); // 1 if -ve
+
+ // The number must be an integer that fits in 10 digits
+ // Assert, here, that 10 is enough for any rescale Etiny
+ #if DEC_MAX_EMAX > 999999999
+ #error GetInt may need updating [for Emax]
+ #endif
+ #if DEC_MIN_EMIN < -999999999
+ #error GetInt may need updating [for Emin]
+ #endif
+ if (ISZERO(dn)) return 0; // zeros are OK, with any exponent
+
+ up=dn->lsu; // ready for lsu
+ theInt=0; // ready to accumulate
+ if (dn->exponent>=0) { // relatively easy
+ // no fractional part [usual]; allow for positive exponent
+ got=dn->exponent;
+ }
+ else { // -ve exponent; some fractional part to check and discard
+ Int count=-dn->exponent; // digits to discard
+ // spin up whole units until reach the Unit with the unit digit
+ for (; count>=DECDPUN; up++) {
+ if (*up!=0) return BADINT; // non-zero Unit to discard
+ count-=DECDPUN;
+ }
+ if (count==0) got=0; // [a multiple of DECDPUN]
+ else { // [not multiple of DECDPUN]
+ Int rem; // work
+ // slice off fraction digits and check for non-zero
+ #if DECDPUN<=4
+ theInt=QUOT10(*up, count);
+ rem=*up-theInt*powers[count];
+ #else
+ rem=*up%powers[count]; // slice off discards
+ theInt=*up/powers[count];
+ #endif
+ if (rem!=0) return BADINT; // non-zero fraction
+ // it looks good
+ got=DECDPUN-count; // number of digits so far
+ up++; // ready for next
+ }
+ }
+ // now it's known there's no fractional part
+
+ // tricky code now, to accumulate up to 9.3 digits
+ if (got==0) {theInt=*up; got+=DECDPUN; up++;} // ensure lsu is there
+
+ if (ilength<11) {
+ Int save=theInt;
+ // collect any remaining unit(s)
+ for (; got1999999997) ilength=11;
+ else if (!neg && theInt>999999999) ilength=11;
+ if (ilength==11) theInt=save; // restore correct low bit
+ }
+ }
+
+ if (ilength>10) { // too big
+ if (theInt&1) return BIGODD; // bottom bit 1
+ return BIGEVEN; // bottom bit 0
+ }
+
+ if (neg) theInt=-theInt; // apply sign
+ return theInt;
+ } // decGetInt
+
+/* ------------------------------------------------------------------ */
+/* decDecap -- decapitate the coefficient of a number */
+/* */
+/* dn is the number to be decapitated */
+/* drop is the number of digits to be removed from the left of dn; */
+/* this must be <= dn->digits (if equal, the coefficient is */
+/* set to 0) */
+/* */
+/* Returns dn; dn->digits will be <= the initial digits less drop */
+/* (after removing drop digits there may be leading zero digits */
+/* which will also be removed). Only dn->lsu and dn->digits change. */
+/* ------------------------------------------------------------------ */
+static decNumber *decDecap(decNumber *dn, Int drop) {
+ Unit *msu; // -> target cut point
+ Int cut; // work
+ if (drop>=dn->digits) { // losing the whole thing
+ #if DECCHECK
+ if (drop>dn->digits)
+ printf("decDecap called with drop>digits [%ld>%ld]\n",
+ (LI)drop, (LI)dn->digits);
+ #endif
+ dn->lsu[0]=0;
+ dn->digits=1;
+ return dn;
+ }
+ msu=dn->lsu+D2U(dn->digits-drop)-1; // -> likely msu
+ cut=MSUDIGITS(dn->digits-drop); // digits to be in use in msu
+ if (cut!=DECDPUN) *msu%=powers[cut]; // clear left digits
+ // that may have left leading zero digits, so do a proper count...
+ dn->digits=decGetDigits(dn->lsu, msu-dn->lsu+1);
+ return dn;
+ } // decDecap
+
+/* ------------------------------------------------------------------ */
+/* decBiStr -- compare string with pairwise options */
+/* */
+/* targ is the string to compare */
+/* str1 is one of the strings to compare against (length may be 0) */
+/* str2 is the other; it must be the same length as str1 */
+/* */
+/* returns 1 if strings compare equal, (that is, it is the same */
+/* length as str1 and str2, and each character of targ is in either */
+/* str1 or str2 in the corresponding position), or 0 otherwise */
+/* */
+/* This is used for generic caseless compare, including the awkward */
+/* case of the Turkish dotted and dotless Is. Use as (for example): */
+/* if (decBiStr(test, "mike", "MIKE")) ... */
+/* ------------------------------------------------------------------ */
+static Flag decBiStr(const char *targ, const char *str1, const char *str2) {
+ for (;;targ++, str1++, str2++) {
+ if (*targ!=*str1 && *targ!=*str2) return 0;
+ // *targ has a match in one (or both, if terminator)
+ if (*targ=='\0') break;
+ } // forever
+ return 1;
+ } // decBiStr
+
+/* ------------------------------------------------------------------ */
+/* decNaNs -- handle NaN operand or operands */
+/* */
+/* res is the result number */
+/* lhs is the first operand */
+/* rhs is the second operand, or NULL if none */
+/* context is used to limit payload length */
+/* status contains the current status */
+/* returns res in case convenient */
+/* */
+/* Called when one or both operands is a NaN, and propagates the */
+/* appropriate result to res. When an sNaN is found, it is changed */
+/* to a qNaN and Invalid operation is set. */
+/* ------------------------------------------------------------------ */
+static decNumber * decNaNs(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set,
+ uInt *status) {
+ // This decision tree ends up with LHS being the source pointer,
+ // and status updated if need be
+ if (lhs->bits & DECSNAN)
+ *status|=DEC_Invalid_operation | DEC_sNaN;
+ else if (rhs==NULL);
+ else if (rhs->bits & DECSNAN) {
+ lhs=rhs;
+ *status|=DEC_Invalid_operation | DEC_sNaN;
+ }
+ else if (lhs->bits & DECNAN);
+ else lhs=rhs;
+
+ // propagate the payload
+ if (lhs->digits<=set->digits) decNumberCopy(res, lhs); // easy
+ else { // too long
+ const Unit *ul;
+ Unit *ur, *uresp1;
+ // copy safe number of units, then decapitate
+ res->bits=lhs->bits; // need sign etc.
+ uresp1=res->lsu+D2U(set->digits);
+ for (ur=res->lsu, ul=lhs->lsu; urdigits=D2U(set->digits)*DECDPUN;
+ // maybe still too long
+ if (res->digits>set->digits) decDecap(res, res->digits-set->digits);
+ }
+
+ res->bits&=~DECSNAN; // convert any sNaN to NaN, while
+ res->bits|=DECNAN; // .. preserving sign
+ res->exponent=0; // clean exponent
+ // [coefficient was copied/decapitated]
+ return res;
+ } // decNaNs
+
+/* ------------------------------------------------------------------ */
+/* decStatus -- apply non-zero status */
+/* */
+/* dn is the number to set if error */
+/* status contains the current status (not yet in context) */
+/* set is the context */
+/* */
+/* If the status is an error status, the number is set to a NaN, */
+/* unless the error was an overflow, divide-by-zero, or underflow, */
+/* in which case the number will have already been set. */
+/* */
+/* The context status is then updated with the new status. Note that */
+/* this may raise a signal, so control may never return from this */
+/* routine (hence resources must be recovered before it is called). */
+/* ------------------------------------------------------------------ */
+static void decStatus(decNumber *dn, uInt status, decContext *set) {
+ if (status & DEC_NaNs) { // error status -> NaN
+ // if cause was an sNaN, clear and propagate [NaN is already set up]
+ if (status & DEC_sNaN) status&=~DEC_sNaN;
+ else {
+ decNumberZero(dn); // other error: clean throughout
+ dn->bits=DECNAN; // and make a quiet NaN
+ }
+ }
+ decContextSetStatus(set, status); // [may not return]
+ return;
+ } // decStatus
+
+/* ------------------------------------------------------------------ */
+/* decGetDigits -- count digits in a Units array */
+/* */
+/* uar is the Unit array holding the number (this is often an */
+/* accumulator of some sort) */
+/* len is the length of the array in units [>=1] */
+/* */
+/* returns the number of (significant) digits in the array */
+/* */
+/* All leading zeros are excluded, except the last if the array has */
+/* only zero Units. */
+/* ------------------------------------------------------------------ */
+// This may be called twice during some operations.
+static Int decGetDigits(Unit *uar, Int len) {
+ Unit *up=uar+(len-1); // -> msu
+ Int digits=(len-1)*DECDPUN+1; // possible digits excluding msu
+ #if DECDPUN>4
+ uInt const *pow; // work
+ #endif
+ // (at least 1 in final msu)
+ #if DECCHECK
+ if (len<1) printf("decGetDigits called with len<1 [%ld]\n", (LI)len);
+ #endif
+
+ for (; up>=uar; up--) {
+ if (*up==0) { // unit is all 0s
+ if (digits==1) break; // a zero has one digit
+ digits-=DECDPUN; // adjust for 0 unit
+ continue;}
+ // found the first (most significant) non-zero Unit
+ #if DECDPUN>1 // not done yet
+ if (*up<10) break; // is 1-9
+ digits++;
+ #if DECDPUN>2 // not done yet
+ if (*up<100) break; // is 10-99
+ digits++;
+ #if DECDPUN>3 // not done yet
+ if (*up<1000) break; // is 100-999
+ digits++;
+ #if DECDPUN>4 // count the rest ...
+ for (pow=&powers[4]; *up>=*pow; pow++) digits++;
+ #endif
+ #endif
+ #endif
+ #endif
+ break;
+ } // up
+ return digits;
+ } // decGetDigits
+
+#if DECTRACE | DECCHECK
+/* ------------------------------------------------------------------ */
+/* decNumberShow -- display a number [debug aid] */
+/* dn is the number to show */
+/* */
+/* Shows: sign, exponent, coefficient (msu first), digits */
+/* or: sign, special-value */
+/* ------------------------------------------------------------------ */
+// this is public so other modules can use it
+void decNumberShow(const decNumber *dn) {
+ const Unit *up; // work
+ uInt u, d; // ..
+ Int cut; // ..
+ char isign='+'; // main sign
+ if (dn==NULL) {
+ printf("NULL\n");
+ return;}
+ if (decNumberIsNegative(dn)) isign='-';
+ printf(" >> %c ", isign);
+ if (dn->bits&DECSPECIAL) { // Is a special value
+ if (decNumberIsInfinite(dn)) printf("Infinity");
+ else { // a NaN
+ if (dn->bits&DECSNAN) printf("sNaN"); // signalling NaN
+ else printf("NaN");
+ }
+ // if coefficient and exponent are 0, no more to do
+ if (dn->exponent==0 && dn->digits==1 && *dn->lsu==0) {
+ printf("\n");
+ return;}
+ // drop through to report other information
+ printf(" ");
+ }
+
+ // now carefully display the coefficient
+ up=dn->lsu+D2U(dn->digits)-1; // msu
+ printf("%ld", (LI)*up);
+ for (up=up-1; up>=dn->lsu; up--) {
+ u=*up;
+ printf(":");
+ for (cut=DECDPUN-1; cut>=0; cut--) {
+ d=u/powers[cut];
+ u-=d*powers[cut];
+ printf("%ld", (LI)d);
+ } // cut
+ } // up
+ if (dn->exponent!=0) {
+ char esign='+';
+ if (dn->exponent<0) esign='-';
+ printf(" E%c%ld", esign, (LI)abs(dn->exponent));
+ }
+ printf(" [%ld]\n", (LI)dn->digits);
+ } // decNumberShow
+#endif
+
+#if DECTRACE || DECCHECK
+/* ------------------------------------------------------------------ */
+/* decDumpAr -- display a unit array [debug/check aid] */
+/* name is a single-character tag name */
+/* ar is the array to display */
+/* len is the length of the array in Units */
+/* ------------------------------------------------------------------ */
+static void decDumpAr(char name, const Unit *ar, Int len) {
+ Int i;
+ const char *spec;
+ #if DECDPUN==9
+ spec="%09d ";
+ #elif DECDPUN==8
+ spec="%08d ";
+ #elif DECDPUN==7
+ spec="%07d ";
+ #elif DECDPUN==6
+ spec="%06d ";
+ #elif DECDPUN==5
+ spec="%05d ";
+ #elif DECDPUN==4
+ spec="%04d ";
+ #elif DECDPUN==3
+ spec="%03d ";
+ #elif DECDPUN==2
+ spec="%02d ";
+ #else
+ spec="%d ";
+ #endif
+ printf(" :%c: ", name);
+ for (i=len-1; i>=0; i--) {
+ if (i==len-1) printf("%ld ", (LI)ar[i]);
+ else printf(spec, ar[i]);
+ }
+ printf("\n");
+ return;}
+#endif
+
+#if DECCHECK
+/* ------------------------------------------------------------------ */
+/* decCheckOperands -- check operand(s) to a routine */
+/* res is the result structure (not checked; it will be set to */
+/* quiet NaN if error found (and it is not NULL)) */
+/* lhs is the first operand (may be DECUNRESU) */
+/* rhs is the second (may be DECUNUSED) */
+/* set is the context (may be DECUNCONT) */
+/* returns 0 if both operands, and the context are clean, or 1 */
+/* otherwise (in which case the context will show an error, */
+/* unless NULL). Note that res is not cleaned; caller should */
+/* handle this so res=NULL case is safe. */
+/* The caller is expected to abandon immediately if 1 is returned. */
+/* ------------------------------------------------------------------ */
+static Flag decCheckOperands(decNumber *res, const decNumber *lhs,
+ const decNumber *rhs, decContext *set) {
+ Flag bad=0;
+ if (set==NULL) { // oops; hopeless
+ #if DECTRACE || DECVERB
+ printf("Reference to context is NULL.\n");
+ #endif
+ bad=1;
+ return 1;}
+ else if (set!=DECUNCONT
+ && (set->digits<1 || set->round>=DEC_ROUND_MAX)) {
+ bad=1;
+ #if DECTRACE || DECVERB
+ printf("Bad context [digits=%ld round=%ld].\n",
+ (LI)set->digits, (LI)set->round);
+ #endif
+ }
+ else {
+ if (res==NULL) {
+ bad=1;
+ #if DECTRACE
+ // this one not DECVERB as standard tests include NULL
+ printf("Reference to result is NULL.\n");
+ #endif
+ }
+ if (!bad && lhs!=DECUNUSED) bad=(decCheckNumber(lhs));
+ if (!bad && rhs!=DECUNUSED) bad=(decCheckNumber(rhs));
+ }
+ if (bad) {
+ if (set!=DECUNCONT) decContextSetStatus(set, DEC_Invalid_operation);
+ if (res!=DECUNRESU && res!=NULL) {
+ decNumberZero(res);
+ res->bits=DECNAN; // qNaN
+ }
+ }
+ return bad;
+ } // decCheckOperands
+
+/* ------------------------------------------------------------------ */
+/* decCheckNumber -- check a number */
+/* dn is the number to check */
+/* returns 0 if the number is clean, or 1 otherwise */
+/* */
+/* The number is considered valid if it could be a result from some */
+/* operation in some valid context. */
+/* ------------------------------------------------------------------ */
+static Flag decCheckNumber(const decNumber *dn) {
+ const Unit *up; // work
+ uInt maxuint; // ..
+ Int ae, d, digits; // ..
+ Int emin, emax; // ..
+
+ if (dn==NULL) { // hopeless
+ #if DECTRACE
+ // this one not DECVERB as standard tests include NULL
+ printf("Reference to decNumber is NULL.\n");
+ #endif
+ return 1;}
+
+ // check special values
+ if (dn->bits & DECSPECIAL) {
+ if (dn->exponent!=0) {
+ #if DECTRACE || DECVERB
+ printf("Exponent %ld (not 0) for a special value [%02x].\n",
+ (LI)dn->exponent, dn->bits);
+ #endif
+ return 1;}
+
+ // 2003.09.08: NaNs may now have coefficients, so next tests Inf only
+ if (decNumberIsInfinite(dn)) {
+ if (dn->digits!=1) {
+ #if DECTRACE || DECVERB
+ printf("Digits %ld (not 1) for an infinity.\n", (LI)dn->digits);
+ #endif
+ return 1;}
+ if (*dn->lsu!=0) {
+ #if DECTRACE || DECVERB
+ printf("LSU %ld (not 0) for an infinity.\n", (LI)*dn->lsu);
+ #endif
+ decDumpAr('I', dn->lsu, D2U(dn->digits));
+ return 1;}
+ } // Inf
+ // 2002.12.26: negative NaNs can now appear through proposed IEEE
+ // concrete formats (decimal64, etc.).
+ return 0;
+ }
+
+ // check the coefficient
+ if (dn->digits<1 || dn->digits>DECNUMMAXP) {
+ #if DECTRACE || DECVERB
+ printf("Digits %ld in number.\n", (LI)dn->digits);
+ #endif
+ return 1;}
+
+ d=dn->digits;
+
+ for (up=dn->lsu; d>0; up++) {
+ if (d>DECDPUN) maxuint=DECDPUNMAX;
+ else { // reached the msu
+ maxuint=powers[d]-1;
+ if (dn->digits>1 && *upmaxuint) {
+ #if DECTRACE || DECVERB
+ printf("Bad Unit [%08lx] in %ld-digit number at offset %ld [maxuint %ld].\n",
+ (LI)*up, (LI)dn->digits, (LI)(up-dn->lsu), (LI)maxuint);
+ #endif
+ return 1;}
+ d-=DECDPUN;
+ }
+
+ // check the exponent. Note that input operands can have exponents
+ // which are out of the set->emin/set->emax and set->digits range
+ // (just as they can have more digits than set->digits).
+ ae=dn->exponent+dn->digits-1; // adjusted exponent
+ emax=DECNUMMAXE;
+ emin=DECNUMMINE;
+ digits=DECNUMMAXP;
+ if (ae+emax) {
+ #if DECTRACE || DECVERB
+ printf("Adjusted exponent overflow [%ld].\n", (LI)ae);
+ decNumberShow(dn);
+ #endif
+ return 1;}
+
+ return 0; // it's OK
+ } // decCheckNumber
+
+/* ------------------------------------------------------------------ */
+/* decCheckInexact -- check a normal finite inexact result has digits */
+/* dn is the number to check */
+/* set is the context (for status and precision) */
+/* sets Invalid operation, etc., if some digits are missing */
+/* [this check is not made for DECSUBSET compilation or when */
+/* subnormal is not set] */
+/* ------------------------------------------------------------------ */
+static void decCheckInexact(const decNumber *dn, decContext *set) {
+ #if !DECSUBSET && DECEXTFLAG
+ if ((set->status & (DEC_Inexact|DEC_Subnormal))==DEC_Inexact
+ && (set->digits!=dn->digits) && !(dn->bits & DECSPECIAL)) {
+ #if DECTRACE || DECVERB
+ printf("Insufficient digits [%ld] on normal Inexact result.\n",
+ (LI)dn->digits);
+ decNumberShow(dn);
+ #endif
+ decContextSetStatus(set, DEC_Invalid_operation);
+ }
+ #else
+ // next is a noop for quiet compiler
+ if (dn!=NULL && dn->digits==0) set->status|=DEC_Invalid_operation;
+ #endif
+ return;
+ } // decCheckInexact
+#endif
+
+#if DECALLOC
+#undef malloc
+#undef free
+/* ------------------------------------------------------------------ */
+/* decMalloc -- accountable allocation routine */
+/* n is the number of bytes to allocate */
+/* */
+/* Semantics is the same as the stdlib malloc routine, but bytes */
+/* allocated are accounted for globally, and corruption fences are */
+/* added before and after the 'actual' storage. */
+/* ------------------------------------------------------------------ */
+/* This routine allocates storage with an extra twelve bytes; 8 are */
+/* at the start and hold: */
+/* 0-3 the original length requested */
+/* 4-7 buffer corruption detection fence (DECFENCE, x4) */
+/* The 4 bytes at the end also hold a corruption fence (DECFENCE, x4) */
+/* ------------------------------------------------------------------ */
+static void *decMalloc(size_t n) {
+ uInt size=n+12; // true size
+ void *alloc; // -> allocated storage
+ uByte *b, *b0; // work
+ uInt uiwork; // for macros
+
+ alloc=malloc(size); // -> allocated storage
+ if (alloc==NULL) return NULL; // out of strorage
+ b0=(uByte *)alloc; // as bytes
+ decAllocBytes+=n; // account for storage
+ UBFROMUI(alloc, n); // save n
+ // printf(" alloc ++ dAB: %ld (%ld)\n", (LI)decAllocBytes, (LI)n);
+ for (b=b0+4; b play area
+ } // decMalloc
+
+/* ------------------------------------------------------------------ */
+/* decFree -- accountable free routine */
+/* alloc is the storage to free */
+/* */
+/* Semantics is the same as the stdlib malloc routine, except that */
+/* the global storage accounting is updated and the fences are */
+/* checked to ensure that no routine has written 'out of bounds'. */
+/* ------------------------------------------------------------------ */
+/* This routine first checks that the fences have not been corrupted. */
+/* It then frees the storage using the 'truw' storage address (that */
+/* is, offset by 8). */
+/* ------------------------------------------------------------------ */
+static void decFree(void *alloc) {
+ uInt n; // original length
+ uByte *b, *b0; // work
+ uInt uiwork; // for macros
+
+ if (alloc==NULL) return; // allowed; it's a nop
+ b0=(uByte *)alloc; // as bytes
+ b0-=8; // -> true start of storage
+ n=UBTOUI(b0); // lift length
+ for (b=b0+4; b0 */
+ /* and <10; 3 or powers of 2 are best]. */
+
+ /* DECNUMDIGITS is the default number of digits that can be held in */
+ /* the structure. If undefined, 1 is assumed and it is assumed */
+ /* that the structure will be immediately followed by extra space, */
+ /* as required. DECNUMDIGITS is always >0. */
+ #if !defined(DECNUMDIGITS)
+ #define DECNUMDIGITS 1
+ #endif
+
+ /* The size (integer data type) of each unit is determined by the */
+ /* number of digits it will hold. */
+ #if DECDPUN<=2
+ #define decNumberUnit uint8_t
+ #elif DECDPUN<=4
+ #define decNumberUnit uint16_t
+ #else
+ #define decNumberUnit uint32_t
+ #endif
+ /* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */
+ #define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN)
+
+ /* The data structure... */
+ typedef struct {
+ int32_t digits; /* Count of digits in the coefficient; >0 */
+ int32_t exponent; /* Unadjusted exponent, unbiased, in */
+ /* range: -1999999997 through 999999999 */
+ uint8_t bits; /* Indicator bits (see above) */
+ /* Coefficient, from least significant unit */
+ decNumberUnit lsu[DECNUMUNITS];
+ } decNumber;
+
+ /* Notes: */
+ /* 1. If digits is > DECDPUN then there will one or more */
+ /* decNumberUnits immediately following the first element of lsu.*/
+ /* These contain the remaining (more significant) digits of the */
+ /* number, and may be in the lsu array, or may be guaranteed by */
+ /* some other mechanism (such as being contained in another */
+ /* structure, or being overlaid on dynamically allocated */
+ /* storage). */
+ /* */
+ /* Each integer of the coefficient (except potentially the last) */
+ /* contains DECDPUN digits (e.g., a value in the range 0 through */
+ /* 99999999 if DECDPUN is 8, or 0 through 999 if DECDPUN is 3). */
+ /* */
+ /* 2. A decNumber converted to a string may need up to digits+14 */
+ /* characters. The worst cases (non-exponential and exponential */
+ /* formats) are -0.00000{9...}# and -9.{9...}E+999999999# */
+ /* (where # is '\0') */
+
+
+ /* ---------------------------------------------------------------- */
+ /* decNumber public functions and macros */
+ /* ---------------------------------------------------------------- */
+ /* Conversions */
+ decNumber * decNumberFromInt32(decNumber *, int32_t);
+ decNumber * decNumberFromUInt32(decNumber *, uint32_t);
+ decNumber * decNumberFromString(decNumber *, const char *, decContext *);
+ char * decNumberToString(const decNumber *, char *);
+ char * decNumberToEngString(const decNumber *, char *);
+ uint32_t decNumberToUInt32(const decNumber *, decContext *);
+ int32_t decNumberToInt32(const decNumber *, decContext *);
+ uint8_t * decNumberGetBCD(const decNumber *, uint8_t *);
+ decNumber * decNumberSetBCD(decNumber *, const uint8_t *, uint32_t);
+
+ /* Operators and elementary functions */
+ decNumber * decNumberAbs(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberAdd(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberAnd(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberCompare(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberCompareSignal(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberCompareTotal(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberCompareTotalMag(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberDivide(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberDivideInteger(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberExp(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberFMA(decNumber *, const decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberInvert(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberLn(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberLogB(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberLog10(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMax(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMaxMag(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMin(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMinMag(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMinus(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberMultiply(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberNormalize(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberOr(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberPlus(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberPower(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberQuantize(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberReduce(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberRemainder(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberRemainderNear(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberRescale(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberRotate(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberSameQuantum(decNumber *, const decNumber *, const decNumber *);
+ decNumber * decNumberScaleB(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberShift(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberSquareRoot(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberSubtract(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberToIntegralExact(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberToIntegralValue(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberXor(decNumber *, const decNumber *, const decNumber *, decContext *);
+
+ /* Utilities */
+ enum decClass decNumberClass(const decNumber *, decContext *);
+ const char * decNumberClassToString(enum decClass);
+ decNumber * decNumberCopy(decNumber *, const decNumber *);
+ decNumber * decNumberCopyAbs(decNumber *, const decNumber *);
+ decNumber * decNumberCopyNegate(decNumber *, const decNumber *);
+ decNumber * decNumberCopySign(decNumber *, const decNumber *, const decNumber *);
+ decNumber * decNumberNextMinus(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberNextPlus(decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberNextToward(decNumber *, const decNumber *, const decNumber *, decContext *);
+ decNumber * decNumberTrim(decNumber *);
+ const char * decNumberVersion(void);
+ decNumber * decNumberZero(decNumber *);
+
+ /* Functions for testing decNumbers (normality depends on context) */
+ int32_t decNumberIsNormal(const decNumber *, decContext *);
+ int32_t decNumberIsSubnormal(const decNumber *, decContext *);
+
+ /* Macros for testing decNumber *dn */
+ #define decNumberIsCanonical(dn) (1) /* All decNumbers are saintly */
+ #define decNumberIsFinite(dn) (((dn)->bits&DECSPECIAL)==0)
+ #define decNumberIsInfinite(dn) (((dn)->bits&DECINF)!=0)
+ #define decNumberIsNaN(dn) (((dn)->bits&(DECNAN|DECSNAN))!=0)
+ #define decNumberIsNegative(dn) (((dn)->bits&DECNEG)!=0)
+ #define decNumberIsQNaN(dn) (((dn)->bits&(DECNAN))!=0)
+ #define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0)
+ #define decNumberIsSpecial(dn) (((dn)->bits&DECSPECIAL)!=0)
+ #define decNumberIsZero(dn) (*(dn)->lsu==0 \
+ && (dn)->digits==1 \
+ && (((dn)->bits&DECSPECIAL)==0))
+ #define decNumberRadix(dn) (10)
+
+#endif
diff --git a/extern/decNumber/decNumberLocal.h b/extern/decNumber/decNumberLocal.h
new file mode 100644
index 0000000000..cfd3e74e23
--- /dev/null
+++ b/extern/decNumber/decNumberLocal.h
@@ -0,0 +1,757 @@
+/* ------------------------------------------------------------------ */
+/* decNumber package local type, tuning, and macro definitions */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This header file is included by all modules in the decNumber */
+/* library, and contains local type definitions, tuning parameters, */
+/* etc. It should not need to be used by application programs. */
+/* decNumber.h or one of decDouble (etc.) must be included first. */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECNUMBERLOC)
+ #define DECNUMBERLOC
+ #define DECVERSION "decNumber 3.68" /* Package Version [16 max.] */
+ #define DECNLAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ #include /* for abs */
+ #include /* for memset, strcpy */
+
+ /* Conditional code flag -- set this to match hardware platform */
+ #if !defined(DECLITEND)
+ #define DECLITEND 1 /* 1=little-endian, 0=big-endian */
+ #endif
+
+ /* Conditional code flag -- set this to 1 for best performance */
+ #if !defined(DECUSE64)
+ #define DECUSE64 1 /* 1=use int64s, 0=int32 & smaller only */
+ #endif
+
+ /* Conditional code flag -- set this to 0 to exclude printf calls */
+ #if !defined(DECPRINT)
+ #define DECPRINT 1 /* 1=allow printf calls; 0=no printf */
+ #endif
+
+ /* Conditional check flags -- set these to 0 for best performance */
+ #if !defined(DECCHECK)
+ #define DECCHECK 0 /* 1 to enable robust checking */
+ #endif
+ #if !defined(DECALLOC)
+ #define DECALLOC 0 /* 1 to enable memory accounting */
+ #endif
+ #if !defined(DECTRACE)
+ #define DECTRACE 0 /* 1 to trace certain internals, etc. */
+ #endif
+
+ /* Tuning parameter for decNumber (arbitrary precision) module */
+ #if !defined(DECBUFFER)
+ #define DECBUFFER 36 /* Size basis for local buffers. This */
+ /* should be a common maximum precision */
+ /* rounded up to a multiple of 4; must */
+ /* be zero or positive. */
+ #endif
+
+
+ /* ---------------------------------------------------------------- */
+ /* Check parameter dependencies */
+ /* ---------------------------------------------------------------- */
+ #if DECCHECK & !DECPRINT
+ #error DECCHECK needs DECPRINT to be useful
+ #endif
+ #if DECALLOC & !DECPRINT
+ #error DECALLOC needs DECPRINT to be useful
+ #endif
+ #if DECTRACE & !DECPRINT
+ #error DECTRACE needs DECPRINT to be useful
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* Definitions for all modules (general-purpose) */
+ /* ---------------------------------------------------------------- */
+
+ /* Local names for common types -- for safety, decNumber modules do */
+ /* not use int or long directly. */
+ #define Flag uint8_t
+ #define Byte int8_t
+ #define uByte uint8_t
+ #define Short int16_t
+ #define uShort uint16_t
+ #define Int int32_t
+ #define uInt uint32_t
+ #define Unit decNumberUnit
+ #if DECUSE64
+ #define Long int64_t
+ #define uLong uint64_t
+ #endif
+
+ /* Development-use definitions */
+ typedef long int LI; /* for printf arguments only */
+ #define DECNOINT 0 /* 1 to check no internal use of 'int' */
+ /* or stdint types */
+ #if DECNOINT
+ /* if these interfere with your C includes, do not set DECNOINT */
+ #define int ? /* enable to ensure that plain C 'int' */
+ #define long ?? /* .. or 'long' types are not used */
+ #endif
+
+ /* Shared lookup tables */
+ extern const uByte DECSTICKYTAB[10]; /* re-round digits if sticky */
+ extern const uInt DECPOWERS[10]; /* powers of ten table */
+ /* The following are included from decDPD.h */
+ extern const uShort DPD2BIN[1024]; /* DPD -> 0-999 */
+ extern const uShort BIN2DPD[1000]; /* 0-999 -> DPD */
+ extern const uInt DPD2BINK[1024]; /* DPD -> 0-999000 */
+ extern const uInt DPD2BINM[1024]; /* DPD -> 0-999000000 */
+ extern const uByte DPD2BCD8[4096]; /* DPD -> ddd + len */
+ extern const uByte BIN2BCD8[4000]; /* 0-999 -> ddd + len */
+ extern const uShort BCD2DPD[2458]; /* 0-0x999 -> DPD (0x999=2457)*/
+
+ /* LONGMUL32HI -- set w=(u*v)>>32, where w, u, and v are uInts */
+ /* (that is, sets w to be the high-order word of the 64-bit result; */
+ /* the low-order word is simply u*v.) */
+ /* This version is derived from Knuth via Hacker's Delight; */
+ /* it seems to optimize better than some others tried */
+ #define LONGMUL32HI(w, u, v) { \
+ uInt u0, u1, v0, v1, w0, w1, w2, t; \
+ u0=u & 0xffff; u1=u>>16; \
+ v0=v & 0xffff; v1=v>>16; \
+ w0=u0*v0; \
+ t=u1*v0 + (w0>>16); \
+ w1=t & 0xffff; w2=t>>16; \
+ w1=u0*v1 + w1; \
+ (w)=u1*v1 + w2 + (w1>>16);}
+
+ /* ROUNDUP -- round an integer up to a multiple of n */
+ #define ROUNDUP(i, n) ((((i)+(n)-1)/n)*n)
+ #define ROUNDUP4(i) (((i)+3)&~3) /* special for n=4 */
+
+ /* ROUNDDOWN -- round an integer down to a multiple of n */
+ #define ROUNDDOWN(i, n) (((i)/n)*n)
+ #define ROUNDDOWN4(i) ((i)&~3) /* special for n=4 */
+
+ /* References to multi-byte sequences under different sizes; these */
+ /* require locally declared variables, but do not violate strict */
+ /* aliasing or alignment (as did the UINTAT simple cast to uInt). */
+ /* Variables needed are uswork, uiwork, etc. [so do not use at same */
+ /* level in an expression, e.g., UBTOUI(x)==UBTOUI(y) may fail]. */
+
+ /* Return a uInt, etc., from bytes starting at a char* or uByte* */
+ #define UBTOUS(b) (memcpy((void *)&uswork, b, 2), uswork)
+ #define UBTOUI(b) (memcpy((void *)&uiwork, b, 4), uiwork)
+
+ /* Store a uInt, etc., into bytes starting at a char* or uByte*. */
+ /* Returns i, evaluated, for convenience; has to use uiwork because */
+ /* i may be an expression. */
+ #define UBFROMUS(b, i) (uswork=(i), memcpy(b, (void *)&uswork, 2), uswork)
+ #define UBFROMUI(b, i) (uiwork=(i), memcpy(b, (void *)&uiwork, 4), uiwork)
+
+ /* X10 and X100 -- multiply integer i by 10 or 100 */
+ /* [shifts are usually faster than multiply; could be conditional] */
+ #define X10(i) (((i)<<1)+((i)<<3))
+ #define X100(i) (((i)<<2)+((i)<<5)+((i)<<6))
+
+ /* MAXI and MINI -- general max & min (not in ANSI) for integers */
+ #define MAXI(x,y) ((x)<(y)?(y):(x))
+ #define MINI(x,y) ((x)>(y)?(y):(x))
+
+ /* Useful constants */
+ #define BILLION 1000000000 /* 10**9 */
+ /* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC */
+ #define CHARMASK ((((((((uInt)'0')<<8)+'0')<<8)+'0')<<8)+'0')
+
+
+ /* ---------------------------------------------------------------- */
+ /* Definitions for arbitary-precision modules (only valid after */
+ /* decNumber.h has been included) */
+ /* ---------------------------------------------------------------- */
+
+ /* Limits and constants */
+ #define DECNUMMAXP 999999999 /* maximum precision code can handle */
+ #define DECNUMMAXE 999999999 /* maximum adjusted exponent ditto */
+ #define DECNUMMINE -999999999 /* minimum adjusted exponent ditto */
+ #if (DECNUMMAXP != DEC_MAX_DIGITS)
+ #error Maximum digits mismatch
+ #endif
+ #if (DECNUMMAXE != DEC_MAX_EMAX)
+ #error Maximum exponent mismatch
+ #endif
+ #if (DECNUMMINE != DEC_MIN_EMIN)
+ #error Minimum exponent mismatch
+ #endif
+
+ /* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN */
+ /* digits, and D2UTABLE -- the initializer for the D2U table */
+ #if DECDPUN==1
+ #define DECDPUNMAX 9
+ #define D2UTABLE {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17, \
+ 18,19,20,21,22,23,24,25,26,27,28,29,30,31,32, \
+ 33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, \
+ 48,49}
+ #elif DECDPUN==2
+ #define DECDPUNMAX 99
+ #define D2UTABLE {0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10, \
+ 11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, \
+ 18,19,19,20,20,21,21,22,22,23,23,24,24,25}
+ #elif DECDPUN==3
+ #define DECDPUNMAX 999
+ #define D2UTABLE {0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7, \
+ 8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13, \
+ 13,14,14,14,15,15,15,16,16,16,17}
+ #elif DECDPUN==4
+ #define DECDPUNMAX 9999
+ #define D2UTABLE {0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6, \
+ 6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11, \
+ 11,11,11,12,12,12,12,13}
+ #elif DECDPUN==5
+ #define DECDPUNMAX 99999
+ #define D2UTABLE {0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5, \
+ 5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9, \
+ 9,9,10,10,10,10}
+ #elif DECDPUN==6
+ #define DECDPUNMAX 999999
+ #define D2UTABLE {0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4, \
+ 4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8, \
+ 8,8,8,8,8,9}
+ #elif DECDPUN==7
+ #define DECDPUNMAX 9999999
+ #define D2UTABLE {0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3, \
+ 4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7, \
+ 7,7,7,7,7,7}
+ #elif DECDPUN==8
+ #define DECDPUNMAX 99999999
+ #define D2UTABLE {0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3, \
+ 3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6, \
+ 6,6,6,6,6,7}
+ #elif DECDPUN==9
+ #define DECDPUNMAX 999999999
+ #define D2UTABLE {0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3, \
+ 3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5, \
+ 5,5,6,6,6,6}
+ #elif defined(DECDPUN)
+ #error DECDPUN must be in the range 1-9
+ #endif
+
+ /* ----- Shared data (in decNumber.c) ----- */
+ /* Public lookup table used by the D2U macro (see below) */
+ #define DECMAXD2U 49
+ extern const uByte d2utable[DECMAXD2U+1];
+
+ /* ----- Macros ----- */
+ /* ISZERO -- return true if decNumber dn is a zero */
+ /* [performance-critical in some situations] */
+ #define ISZERO(dn) decNumberIsZero(dn) /* now just a local name */
+
+ /* D2U -- return the number of Units needed to hold d digits */
+ /* (runtime version, with table lookaside for small d) */
+ #if DECDPUN==8
+ #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+7)>>3))
+ #elif DECDPUN==4
+ #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+3)>>2))
+ #else
+ #define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN)
+ #endif
+ /* SD2U -- static D2U macro (for compile-time calculation) */
+ #define SD2U(d) (((d)+DECDPUN-1)/DECDPUN)
+
+ /* MSUDIGITS -- returns digits in msu, from digits, calculated */
+ /* using D2U */
+ #define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN)
+
+ /* D2N -- return the number of decNumber structs that would be */
+ /* needed to contain that number of digits (and the initial */
+ /* decNumber struct) safely. Note that one Unit is included in the */
+ /* initial structure. Used for allocating space that is aligned on */
+ /* a decNumber struct boundary. */
+ #define D2N(d) \
+ ((((SD2U(d)-1)*sizeof(Unit))+sizeof(decNumber)*2-1)/sizeof(decNumber))
+
+ /* TODIGIT -- macro to remove the leading digit from the unsigned */
+ /* integer u at column cut (counting from the right, LSD=0) and */
+ /* place it as an ASCII character into the character pointed to by */
+ /* c. Note that cut must be <= 9, and the maximum value for u is */
+ /* 2,000,000,000 (as is needed for negative exponents of */
+ /* subnormals). The unsigned integer pow is used as a temporary */
+ /* variable. */
+ #define TODIGIT(u, cut, c, pow) { \
+ *(c)='0'; \
+ pow=DECPOWERS[cut]*2; \
+ if ((u)>pow) { \
+ pow*=4; \
+ if ((u)>=pow) {(u)-=pow; *(c)+=8;} \
+ pow/=2; \
+ if ((u)>=pow) {(u)-=pow; *(c)+=4;} \
+ pow/=2; \
+ } \
+ if ((u)>=pow) {(u)-=pow; *(c)+=2;} \
+ pow/=2; \
+ if ((u)>=pow) {(u)-=pow; *(c)+=1;} \
+ }
+
+ /* ---------------------------------------------------------------- */
+ /* Definitions for fixed-precision modules (only valid after */
+ /* decSingle.h, decDouble.h, or decQuad.h has been included) */
+ /* ---------------------------------------------------------------- */
+
+ /* bcdnum -- a structure describing a format-independent finite */
+ /* number, whose coefficient is a string of bcd8 uBytes */
+ typedef struct {
+ uByte *msd; /* -> most significant digit */
+ uByte *lsd; /* -> least ditto */
+ uInt sign; /* 0=positive, DECFLOAT_Sign=negative */
+ Int exponent; /* Unadjusted signed exponent (q), or */
+ /* DECFLOAT_NaN etc. for a special */
+ } bcdnum;
+
+ /* Test if exponent or bcdnum exponent must be a special, etc. */
+ #define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp)
+ #define EXPISINF(exp) (exp==DECFLOAT_Inf)
+ #define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN)
+ #define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent))
+
+ /* Refer to a 32-bit word or byte in a decFloat (df) by big-endian */
+ /* (array) notation (the 0 word or byte contains the sign bit), */
+ /* automatically adjusting for endianness; similarly address a word */
+ /* in the next-wider format (decFloatWider, or dfw) */
+ #define DECWORDS (DECBYTES/4)
+ #define DECWWORDS (DECWBYTES/4)
+ #if DECLITEND
+ #define DFBYTE(df, off) ((df)->bytes[DECBYTES-1-(off)])
+ #define DFWORD(df, off) ((df)->words[DECWORDS-1-(off)])
+ #define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)])
+ #else
+ #define DFBYTE(df, off) ((df)->bytes[off])
+ #define DFWORD(df, off) ((df)->words[off])
+ #define DFWWORD(dfw, off) ((dfw)->words[off])
+ #endif
+
+ /* Tests for sign or specials, directly on DECFLOATs */
+ #define DFISSIGNED(df) ((DFWORD(df, 0)&0x80000000)!=0)
+ #define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000)
+ #define DFISINF(df) ((DFWORD(df, 0)&0x7c000000)==0x78000000)
+ #define DFISNAN(df) ((DFWORD(df, 0)&0x7c000000)==0x7c000000)
+ #define DFISQNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7c000000)
+ #define DFISSNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7e000000)
+
+ /* Shared lookup tables */
+ extern const uInt DECCOMBMSD[64]; /* Combination field -> MSD */
+ extern const uInt DECCOMBFROM[48]; /* exp+msd -> Combination */
+
+ /* Private generic (utility) routine */
+ #if DECCHECK || DECTRACE
+ extern void decShowNum(const bcdnum *, const char *);
+ #endif
+
+ /* Format-dependent macros and constants */
+ #if defined(DECPMAX)
+
+ /* Useful constants */
+ #define DECPMAX9 (ROUNDUP(DECPMAX, 9)/9) /* 'Pmax' in 10**9s */
+ /* Top words for a zero */
+ #define SINGLEZERO 0x22500000
+ #define DOUBLEZERO 0x22380000
+ #define QUADZERO 0x22080000
+ /* [ZEROWORD is defined to be one of these in the DFISZERO macro] */
+
+ /* Format-dependent common tests: */
+ /* DFISZERO -- test for (any) zero */
+ /* DFISCCZERO -- test for coefficient continuation being zero */
+ /* DFISCC01 -- test for coefficient contains only 0s and 1s */
+ /* DFISINT -- test for finite and exponent q=0 */
+ /* DFISUINT01 -- test for sign=0, finite, exponent q=0, and */
+ /* MSD=0 or 1 */
+ /* ZEROWORD is also defined here. */
+ /* */
+ /* In DFISZERO the first test checks the least-significant word */
+ /* (most likely to be non-zero); the penultimate tests MSD and */
+ /* DPDs in the signword, and the final test excludes specials and */
+ /* MSD>7. DFISINT similarly has to allow for the two forms of */
+ /* MSD codes. DFISUINT01 only has to allow for one form of MSD */
+ /* code. */
+ #if DECPMAX==7
+ #define ZEROWORD SINGLEZERO
+ /* [test macros not needed except for Zero] */
+ #define DFISZERO(df) ((DFWORD(df, 0)&0x1c0fffff)==0 \
+ && (DFWORD(df, 0)&0x60000000)!=0x60000000)
+ #elif DECPMAX==16
+ #define ZEROWORD DOUBLEZERO
+ #define DFISZERO(df) ((DFWORD(df, 1)==0 \
+ && (DFWORD(df, 0)&0x1c03ffff)==0 \
+ && (DFWORD(df, 0)&0x60000000)!=0x60000000))
+ #define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000 \
+ ||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000)
+ #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000)
+ #define DFISCCZERO(df) (DFWORD(df, 1)==0 \
+ && (DFWORD(df, 0)&0x0003ffff)==0)
+ #define DFISCC01(df) ((DFWORD(df, 0)&~0xfffc9124)==0 \
+ && (DFWORD(df, 1)&~0x49124491)==0)
+ #elif DECPMAX==34
+ #define ZEROWORD QUADZERO
+ #define DFISZERO(df) ((DFWORD(df, 3)==0 \
+ && DFWORD(df, 2)==0 \
+ && DFWORD(df, 1)==0 \
+ && (DFWORD(df, 0)&0x1c003fff)==0 \
+ && (DFWORD(df, 0)&0x60000000)!=0x60000000))
+ #define DFISINT(df) ((DFWORD(df, 0)&0x63ffc000)==0x22080000 \
+ ||(DFWORD(df, 0)&0x7bffc000)==0x6a080000)
+ #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbffc000)==0x22080000)
+ #define DFISCCZERO(df) (DFWORD(df, 3)==0 \
+ && DFWORD(df, 2)==0 \
+ && DFWORD(df, 1)==0 \
+ && (DFWORD(df, 0)&0x00003fff)==0)
+
+ #define DFISCC01(df) ((DFWORD(df, 0)&~0xffffc912)==0 \
+ && (DFWORD(df, 1)&~0x44912449)==0 \
+ && (DFWORD(df, 2)&~0x12449124)==0 \
+ && (DFWORD(df, 3)&~0x49124491)==0)
+ #endif
+
+ /* Macros to test if a certain 10 bits of a uInt or pair of uInts */
+ /* are a canonical declet [higher or lower bits are ignored]. */
+ /* declet is at offset 0 (from the right) in a uInt: */
+ #define CANONDPD(dpd) (((dpd)&0x300)==0 || ((dpd)&0x6e)!=0x6e)
+ /* declet is at offset k (a multiple of 2) in a uInt: */
+ #define CANONDPDOFF(dpd, k) (((dpd)&(0x300<<(k)))==0 \
+ || ((dpd)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
+ /* declet is at offset k (a multiple of 2) in a pair of uInts: */
+ /* [the top 2 bits will always be in the more-significant uInt] */
+ #define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0 \
+ || ((hi)&(0x6e>>(32-(k))))!=(0x6e>>(32-(k))) \
+ || ((lo)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
+
+ /* Macro to test whether a full-length (length DECPMAX) BCD8 */
+ /* coefficient, starting at uByte u, is all zeros */
+ /* Test just the LSWord first, then the remainder as a sequence */
+ /* of tests in order to avoid same-level use of UBTOUI */
+ #if DECPMAX==7
+ #define ISCOEFFZERO(u) ( \
+ UBTOUI((u)+DECPMAX-4)==0 \
+ && UBTOUS((u)+DECPMAX-6)==0 \
+ && *(u)==0)
+ #elif DECPMAX==16
+ #define ISCOEFFZERO(u) ( \
+ UBTOUI((u)+DECPMAX-4)==0 \
+ && UBTOUI((u)+DECPMAX-8)==0 \
+ && UBTOUI((u)+DECPMAX-12)==0 \
+ && UBTOUI(u)==0)
+ #elif DECPMAX==34
+ #define ISCOEFFZERO(u) ( \
+ UBTOUI((u)+DECPMAX-4)==0 \
+ && UBTOUI((u)+DECPMAX-8)==0 \
+ && UBTOUI((u)+DECPMAX-12)==0 \
+ && UBTOUI((u)+DECPMAX-16)==0 \
+ && UBTOUI((u)+DECPMAX-20)==0 \
+ && UBTOUI((u)+DECPMAX-24)==0 \
+ && UBTOUI((u)+DECPMAX-28)==0 \
+ && UBTOUI((u)+DECPMAX-32)==0 \
+ && UBTOUS(u)==0)
+ #endif
+
+ /* Macros and masks for the sign, exponent continuation, and MSD */
+ /* Get the sign as DECFLOAT_Sign or 0 */
+ #define GETSIGN(df) (DFWORD(df, 0)&0x80000000)
+ /* Get the exponent continuation from a decFloat *df as an Int */
+ #define GETECON(df) ((Int)((DFWORD((df), 0)&0x03ffffff)>>(32-6-DECECONL)))
+ /* Ditto, from the next-wider format */
+ #define GETWECON(df) ((Int)((DFWWORD((df), 0)&0x03ffffff)>>(32-6-DECWECONL)))
+ /* Get the biased exponent similarly */
+ #define GETEXP(df) ((Int)(DECCOMBEXP[DFWORD((df), 0)>>26]+GETECON(df)))
+ /* Get the unbiased exponent similarly */
+ #define GETEXPUN(df) ((Int)GETEXP(df)-DECBIAS)
+ /* Get the MSD similarly (as uInt) */
+ #define GETMSD(df) (DECCOMBMSD[DFWORD((df), 0)>>26])
+
+ /* Compile-time computes of the exponent continuation field masks */
+ /* full exponent continuation field: */
+ #define ECONMASK ((0x03ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
+ /* same, not including its first digit (the qNaN/sNaN selector): */
+ #define ECONNANMASK ((0x01ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
+
+ /* Macros to decode the coefficient in a finite decFloat *df into */
+ /* a BCD string (uByte *bcdin) of length DECPMAX uBytes. */
+
+ /* In-line sequence to convert least significant 10 bits of uInt */
+ /* dpd to three BCD8 digits starting at uByte u. Note that an */
+ /* extra byte is written to the right of the three digits because */
+ /* four bytes are moved at a time for speed; the alternative */
+ /* macro moves exactly three bytes (usually slower). */
+ #define dpd2bcd8(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 4)
+ #define dpd2bcd83(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 3)
+
+ /* Decode the declets. After extracting each one, it is decoded */
+ /* to BCD8 using a table lookup (also used for variable-length */
+ /* decode). Each DPD decode is 3 bytes BCD8 plus a one-byte */
+ /* length which is not used, here). Fixed-length 4-byte moves */
+ /* are fast, however, almost everywhere, and so are used except */
+ /* for the final three bytes (to avoid overrun). The code below */
+ /* is 36 instructions for Doubles and about 70 for Quads, even */
+ /* on IA32. */
+
+ /* Two macros are defined for each format: */
+ /* GETCOEFF extracts the coefficient of the current format */
+ /* GETWCOEFF extracts the coefficient of the next-wider format. */
+ /* The latter is a copy of the next-wider GETCOEFF using DFWWORD. */
+
+ #if DECPMAX==7
+ #define GETCOEFF(df, bcd) { \
+ uInt sourhi=DFWORD(df, 0); \
+ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
+ dpd2bcd8(bcd+1, sourhi>>10); \
+ dpd2bcd83(bcd+4, sourhi);}
+ #define GETWCOEFF(df, bcd) { \
+ uInt sourhi=DFWWORD(df, 0); \
+ uInt sourlo=DFWWORD(df, 1); \
+ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
+ dpd2bcd8(bcd+1, sourhi>>8); \
+ dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \
+ dpd2bcd8(bcd+7, sourlo>>20); \
+ dpd2bcd8(bcd+10, sourlo>>10); \
+ dpd2bcd83(bcd+13, sourlo);}
+
+ #elif DECPMAX==16
+ #define GETCOEFF(df, bcd) { \
+ uInt sourhi=DFWORD(df, 0); \
+ uInt sourlo=DFWORD(df, 1); \
+ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
+ dpd2bcd8(bcd+1, sourhi>>8); \
+ dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \
+ dpd2bcd8(bcd+7, sourlo>>20); \
+ dpd2bcd8(bcd+10, sourlo>>10); \
+ dpd2bcd83(bcd+13, sourlo);}
+ #define GETWCOEFF(df, bcd) { \
+ uInt sourhi=DFWWORD(df, 0); \
+ uInt sourmh=DFWWORD(df, 1); \
+ uInt sourml=DFWWORD(df, 2); \
+ uInt sourlo=DFWWORD(df, 3); \
+ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
+ dpd2bcd8(bcd+1, sourhi>>4); \
+ dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \
+ dpd2bcd8(bcd+7, sourmh>>16); \
+ dpd2bcd8(bcd+10, sourmh>>6); \
+ dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \
+ dpd2bcd8(bcd+16, sourml>>18); \
+ dpd2bcd8(bcd+19, sourml>>8); \
+ dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \
+ dpd2bcd8(bcd+25, sourlo>>20); \
+ dpd2bcd8(bcd+28, sourlo>>10); \
+ dpd2bcd83(bcd+31, sourlo);}
+
+ #elif DECPMAX==34
+ #define GETCOEFF(df, bcd) { \
+ uInt sourhi=DFWORD(df, 0); \
+ uInt sourmh=DFWORD(df, 1); \
+ uInt sourml=DFWORD(df, 2); \
+ uInt sourlo=DFWORD(df, 3); \
+ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
+ dpd2bcd8(bcd+1, sourhi>>4); \
+ dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \
+ dpd2bcd8(bcd+7, sourmh>>16); \
+ dpd2bcd8(bcd+10, sourmh>>6); \
+ dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \
+ dpd2bcd8(bcd+16, sourml>>18); \
+ dpd2bcd8(bcd+19, sourml>>8); \
+ dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \
+ dpd2bcd8(bcd+25, sourlo>>20); \
+ dpd2bcd8(bcd+28, sourlo>>10); \
+ dpd2bcd83(bcd+31, sourlo);}
+
+ #define GETWCOEFF(df, bcd) {??} /* [should never be used] */
+ #endif
+
+ /* Macros to decode the coefficient in a finite decFloat *df into */
+ /* a base-billion uInt array, with the least-significant */
+ /* 0-999999999 'digit' at offset 0. */
+
+ /* Decode the declets. After extracting each one, it is decoded */
+ /* to binary using a table lookup. Three tables are used; one */
+ /* the usual DPD to binary, the other two pre-multiplied by 1000 */
+ /* and 1000000 to avoid multiplication during decode. These */
+ /* tables can also be used for multiplying up the MSD as the DPD */
+ /* code for 0 through 9 is the identity. */
+ #define DPD2BIN0 DPD2BIN /* for prettier code */
+
+ #if DECPMAX==7
+ #define GETCOEFFBILL(df, buf) { \
+ uInt sourhi=DFWORD(df, 0); \
+ (buf)[0]=DPD2BIN0[sourhi&0x3ff] \
+ +DPD2BINK[(sourhi>>10)&0x3ff] \
+ +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
+
+ #elif DECPMAX==16
+ #define GETCOEFFBILL(df, buf) { \
+ uInt sourhi, sourlo; \
+ sourlo=DFWORD(df, 1); \
+ (buf)[0]=DPD2BIN0[sourlo&0x3ff] \
+ +DPD2BINK[(sourlo>>10)&0x3ff] \
+ +DPD2BINM[(sourlo>>20)&0x3ff]; \
+ sourhi=DFWORD(df, 0); \
+ (buf)[1]=DPD2BIN0[((sourhi<<2) | (sourlo>>30))&0x3ff] \
+ +DPD2BINK[(sourhi>>8)&0x3ff] \
+ +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
+
+ #elif DECPMAX==34
+ #define GETCOEFFBILL(df, buf) { \
+ uInt sourhi, sourmh, sourml, sourlo; \
+ sourlo=DFWORD(df, 3); \
+ (buf)[0]=DPD2BIN0[sourlo&0x3ff] \
+ +DPD2BINK[(sourlo>>10)&0x3ff] \
+ +DPD2BINM[(sourlo>>20)&0x3ff]; \
+ sourml=DFWORD(df, 2); \
+ (buf)[1]=DPD2BIN0[((sourml<<2) | (sourlo>>30))&0x3ff] \
+ +DPD2BINK[(sourml>>8)&0x3ff] \
+ +DPD2BINM[(sourml>>18)&0x3ff]; \
+ sourmh=DFWORD(df, 1); \
+ (buf)[2]=DPD2BIN0[((sourmh<<4) | (sourml>>28))&0x3ff] \
+ +DPD2BINK[(sourmh>>6)&0x3ff] \
+ +DPD2BINM[(sourmh>>16)&0x3ff]; \
+ sourhi=DFWORD(df, 0); \
+ (buf)[3]=DPD2BIN0[((sourhi<<6) | (sourmh>>26))&0x3ff] \
+ +DPD2BINK[(sourhi>>4)&0x3ff] \
+ +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
+
+ #endif
+
+ /* Macros to decode the coefficient in a finite decFloat *df into */
+ /* a base-thousand uInt array (of size DECLETS+1, to allow for */
+ /* the MSD), with the least-significant 0-999 'digit' at offset 0.*/
+
+ /* Decode the declets. After extracting each one, it is decoded */
+ /* to binary using a table lookup. */
+ #if DECPMAX==7
+ #define GETCOEFFTHOU(df, buf) { \
+ uInt sourhi=DFWORD(df, 0); \
+ (buf)[0]=DPD2BIN[sourhi&0x3ff]; \
+ (buf)[1]=DPD2BIN[(sourhi>>10)&0x3ff]; \
+ (buf)[2]=DECCOMBMSD[sourhi>>26];}
+
+ #elif DECPMAX==16
+ #define GETCOEFFTHOU(df, buf) { \
+ uInt sourhi, sourlo; \
+ sourlo=DFWORD(df, 1); \
+ (buf)[0]=DPD2BIN[sourlo&0x3ff]; \
+ (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \
+ (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \
+ sourhi=DFWORD(df, 0); \
+ (buf)[3]=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \
+ (buf)[4]=DPD2BIN[(sourhi>>8)&0x3ff]; \
+ (buf)[5]=DECCOMBMSD[sourhi>>26];}
+
+ #elif DECPMAX==34
+ #define GETCOEFFTHOU(df, buf) { \
+ uInt sourhi, sourmh, sourml, sourlo; \
+ sourlo=DFWORD(df, 3); \
+ (buf)[0]=DPD2BIN[sourlo&0x3ff]; \
+ (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \
+ (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \
+ sourml=DFWORD(df, 2); \
+ (buf)[3]=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \
+ (buf)[4]=DPD2BIN[(sourml>>8)&0x3ff]; \
+ (buf)[5]=DPD2BIN[(sourml>>18)&0x3ff]; \
+ sourmh=DFWORD(df, 1); \
+ (buf)[6]=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \
+ (buf)[7]=DPD2BIN[(sourmh>>6)&0x3ff]; \
+ (buf)[8]=DPD2BIN[(sourmh>>16)&0x3ff]; \
+ sourhi=DFWORD(df, 0); \
+ (buf)[9]=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \
+ (buf)[10]=DPD2BIN[(sourhi>>4)&0x3ff]; \
+ (buf)[11]=DECCOMBMSD[sourhi>>26];}
+ #endif
+
+
+ /* Macros to decode the coefficient in a finite decFloat *df and */
+ /* add to a base-thousand uInt array (as for GETCOEFFTHOU). */
+ /* After the addition then most significant 'digit' in the array */
+ /* might have a value larger then 10 (with a maximum of 19). */
+ #if DECPMAX==7
+ #define ADDCOEFFTHOU(df, buf) { \
+ uInt sourhi=DFWORD(df, 0); \
+ (buf)[0]+=DPD2BIN[sourhi&0x3ff]; \
+ if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \
+ (buf)[1]+=DPD2BIN[(sourhi>>10)&0x3ff]; \
+ if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \
+ (buf)[2]+=DECCOMBMSD[sourhi>>26];}
+
+ #elif DECPMAX==16
+ #define ADDCOEFFTHOU(df, buf) { \
+ uInt sourhi, sourlo; \
+ sourlo=DFWORD(df, 1); \
+ (buf)[0]+=DPD2BIN[sourlo&0x3ff]; \
+ if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \
+ (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \
+ if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \
+ (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \
+ if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \
+ sourhi=DFWORD(df, 0); \
+ (buf)[3]+=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \
+ if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \
+ (buf)[4]+=DPD2BIN[(sourhi>>8)&0x3ff]; \
+ if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \
+ (buf)[5]+=DECCOMBMSD[sourhi>>26];}
+
+ #elif DECPMAX==34
+ #define ADDCOEFFTHOU(df, buf) { \
+ uInt sourhi, sourmh, sourml, sourlo; \
+ sourlo=DFWORD(df, 3); \
+ (buf)[0]+=DPD2BIN[sourlo&0x3ff]; \
+ if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \
+ (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \
+ if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \
+ (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \
+ if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \
+ sourml=DFWORD(df, 2); \
+ (buf)[3]+=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \
+ if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \
+ (buf)[4]+=DPD2BIN[(sourml>>8)&0x3ff]; \
+ if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \
+ (buf)[5]+=DPD2BIN[(sourml>>18)&0x3ff]; \
+ if (buf[5]>999) {buf[5]-=1000; buf[6]++;} \
+ sourmh=DFWORD(df, 1); \
+ (buf)[6]+=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \
+ if (buf[6]>999) {buf[6]-=1000; buf[7]++;} \
+ (buf)[7]+=DPD2BIN[(sourmh>>6)&0x3ff]; \
+ if (buf[7]>999) {buf[7]-=1000; buf[8]++;} \
+ (buf)[8]+=DPD2BIN[(sourmh>>16)&0x3ff]; \
+ if (buf[8]>999) {buf[8]-=1000; buf[9]++;} \
+ sourhi=DFWORD(df, 0); \
+ (buf)[9]+=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \
+ if (buf[9]>999) {buf[9]-=1000; buf[10]++;} \
+ (buf)[10]+=DPD2BIN[(sourhi>>4)&0x3ff]; \
+ if (buf[10]>999) {buf[10]-=1000; buf[11]++;} \
+ (buf)[11]+=DECCOMBMSD[sourhi>>26];}
+ #endif
+
+
+ /* Set a decFloat to the maximum positive finite number (Nmax) */
+ #if DECPMAX==7
+ #define DFSETNMAX(df) \
+ {DFWORD(df, 0)=0x77f3fcff;}
+ #elif DECPMAX==16
+ #define DFSETNMAX(df) \
+ {DFWORD(df, 0)=0x77fcff3f; \
+ DFWORD(df, 1)=0xcff3fcff;}
+ #elif DECPMAX==34
+ #define DFSETNMAX(df) \
+ {DFWORD(df, 0)=0x77ffcff3; \
+ DFWORD(df, 1)=0xfcff3fcf; \
+ DFWORD(df, 2)=0xf3fcff3f; \
+ DFWORD(df, 3)=0xcff3fcff;}
+ #endif
+
+ /* [end of format-dependent macros and constants] */
+ #endif
+
+#else
+ #error decNumberLocal included more than once
+#endif
diff --git a/extern/decNumber/decPacked.c b/extern/decNumber/decPacked.c
new file mode 100644
index 0000000000..90b10715e5
--- /dev/null
+++ b/extern/decNumber/decPacked.c
@@ -0,0 +1,220 @@
+/* ------------------------------------------------------------------ */
+/* Packed Decimal conversion module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2002. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for Packed Decimal format */
+/* numbers. Conversions are supplied to and from decNumber, which in */
+/* turn supports: */
+/* conversions to and from string */
+/* arithmetic routines */
+/* utilities. */
+/* Conversions from decNumber to and from densely packed decimal */
+/* formats are provided by the decimal32 through decimal128 modules. */
+/* ------------------------------------------------------------------ */
+
+#include // for NULL
+#include "decNumber.h" // base number library
+#include "decPacked.h" // packed decimal
+#include "decNumberLocal.h" // decNumber local types, etc.
+
+/* ------------------------------------------------------------------ */
+/* decPackedFromNumber -- convert decNumber to BCD Packed Decimal */
+/* */
+/* bcd is the BCD bytes */
+/* length is the length of the BCD array */
+/* scale is the scale result */
+/* dn is the decNumber */
+/* returns bcd, or NULL if error */
+/* */
+/* The number is converted to a BCD packed decimal byte array, */
+/* right aligned in the bcd array, whose length is indicated by the */
+/* second parameter. The final 4-bit nibble in the array will be a */
+/* sign nibble, C (1100) for + and D (1101) for -. Unused bytes and */
+/* nibbles to the left of the number are set to 0. */
+/* */
+/* scale is set to the scale of the number (this is the exponent, */
+/* negated). To force the number to a specified scale, first use the */
+/* decNumberRescale routine, which will round and change the exponent */
+/* as necessary. */
+/* */
+/* If there is an error (that is, the decNumber has too many digits */
+/* to fit in length bytes, or it is a NaN or Infinity), NULL is */
+/* returned and the bcd and scale results are unchanged. Otherwise */
+/* bcd is returned. */
+/* ------------------------------------------------------------------ */
+uByte * decPackedFromNumber(uByte *bcd, Int length, Int *scale,
+ const decNumber *dn) {
+ const Unit *up=dn->lsu; // Unit array pointer
+ uByte obyte, *out; // current output byte, and where it goes
+ Int indigs=dn->digits; // digits processed
+ uInt cut=DECDPUN; // downcounter per Unit
+ uInt u=*up; // work
+ uInt nib; // ..
+ #if DECDPUN<=4
+ uInt temp; // ..
+ #endif
+
+ if (dn->digits>length*2-1 // too long ..
+ ||(dn->bits & DECSPECIAL)) return NULL; // .. or special -- hopeless
+
+ if (dn->bits&DECNEG) obyte=DECPMINUS; // set the sign ..
+ else obyte=DECPPLUS;
+ *scale=-dn->exponent; // .. and scale
+
+ // loop from lowest (rightmost) byte
+ out=bcd+length-1; // -> final byte
+ for (; out>=bcd; out--) {
+ if (indigs>0) {
+ if (cut==0) {
+ up++;
+ u=*up;
+ cut=DECDPUN;
+ }
+ #if DECDPUN<=4
+ temp=(u*6554)>>16; // fast /10
+ nib=u-X10(temp);
+ u=temp;
+ #else
+ nib=u%10; // cannot use *6554 trick :-(
+ u=u/10;
+ #endif
+ obyte|=(nib<<4);
+ indigs--;
+ cut--;
+ }
+ *out=obyte;
+ obyte=0; // assume 0
+ if (indigs>0) {
+ if (cut==0) {
+ up++;
+ u=*up;
+ cut=DECDPUN;
+ }
+ #if DECDPUN<=4
+ temp=(u*6554)>>16; // as above
+ obyte=(uByte)(u-X10(temp));
+ u=temp;
+ #else
+ obyte=(uByte)(u%10);
+ u=u/10;
+ #endif
+ indigs--;
+ cut--;
+ }
+ } // loop
+
+ return bcd;
+ } // decPackedFromNumber
+
+/* ------------------------------------------------------------------ */
+/* decPackedToNumber -- convert BCD Packed Decimal to a decNumber */
+/* */
+/* bcd is the BCD bytes */
+/* length is the length of the BCD array */
+/* scale is the scale associated with the BCD integer */
+/* dn is the decNumber [with space for length*2 digits] */
+/* returns dn, or NULL if error */
+/* */
+/* The BCD packed decimal byte array, together with an associated */
+/* scale, is converted to a decNumber. The BCD array is assumed full */
+/* of digits, and must be ended by a 4-bit sign nibble in the least */
+/* significant four bits of the final byte. */
+/* */
+/* The scale is used (negated) as the exponent of the decNumber. */
+/* Note that zeros may have a sign and/or a scale. */
+/* */
+/* The decNumber structure is assumed to have sufficient space to */
+/* hold the converted number (that is, up to length*2-1 digits), so */
+/* no error is possible unless the adjusted exponent is out of range, */
+/* no sign nibble was found, or a sign nibble was found before the */
+/* final nibble. In these error cases, NULL is returned and the */
+/* decNumber will be 0. */
+/* ------------------------------------------------------------------ */
+decNumber * decPackedToNumber(const uByte *bcd, Int length,
+ const Int *scale, decNumber *dn) {
+ const uByte *last=bcd+length-1; // -> last byte
+ const uByte *first; // -> first non-zero byte
+ uInt nib; // work nibble
+ Unit *up=dn->lsu; // output pointer
+ Int digits; // digits count
+ Int cut=0; // phase of output
+
+ decNumberZero(dn); // default result
+ last=&bcd[length-1];
+ nib=*last & 0x0f; // get the sign
+ if (nib==DECPMINUS || nib==DECPMINUSALT) dn->bits=DECNEG;
+ else if (nib<=9) return NULL; // not a sign nibble
+
+ // skip leading zero bytes [final byte is always non-zero, due to sign]
+ for (first=bcd; *first==0;) first++;
+ digits=(last-first)*2+1; // calculate digits ..
+ if ((*first & 0xf0)==0) digits--; // adjust for leading zero nibble
+ if (digits!=0) dn->digits=digits; // count of actual digits [if 0,
+ // leave as 1]
+
+ // check the adjusted exponent; note that scale could be unbounded
+ dn->exponent=-*scale; // set the exponent
+ if (*scale>=0) { // usual case
+ if ((dn->digits-*scale-1)<-DECNUMMAXE) { // underflow
+ decNumberZero(dn);
+ return NULL;}
+ }
+ else { // -ve scale; +ve exponent
+ // need to be careful to avoid wrap, here, also BADINT case
+ if ((*scale<-DECNUMMAXE) // overflow even without digits
+ || ((dn->digits-*scale-1)>DECNUMMAXE)) { // overflow
+ decNumberZero(dn);
+ return NULL;}
+ }
+ if (digits==0) return dn; // result was zero
+
+ // copy the digits to the number's units, starting at the lsu
+ // [unrolled]
+ for (;;) { // forever
+ // left nibble first
+ nib=(unsigned)(*last & 0xf0)>>4;
+ // got a digit, in nib
+ if (nib>9) {decNumberZero(dn); return NULL;}
+
+ if (cut==0) *up=(Unit)nib;
+ else *up=(Unit)(*up+nib*DECPOWERS[cut]);
+ digits--;
+ if (digits==0) break; // got them all
+ cut++;
+ if (cut==DECDPUN) {
+ up++;
+ cut=0;
+ }
+ last--; // ready for next
+ nib=*last & 0x0f; // get right nibble
+ if (nib>9) {decNumberZero(dn); return NULL;}
+
+ // got a digit, in nib
+ if (cut==0) *up=(Unit)nib;
+ else *up=(Unit)(*up+nib*DECPOWERS[cut]);
+ digits--;
+ if (digits==0) break; // got them all
+ cut++;
+ if (cut==DECDPUN) {
+ up++;
+ cut=0;
+ }
+ } // forever
+
+ return dn;
+ } // decPackedToNumber
+
diff --git a/extern/decNumber/decPacked.h b/extern/decNumber/decPacked.h
new file mode 100644
index 0000000000..929a546253
--- /dev/null
+++ b/extern/decNumber/decPacked.h
@@ -0,0 +1,52 @@
+/* ------------------------------------------------------------------ */
+/* Packed Decimal conversion module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2005. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECPACKED)
+ #define DECPACKED
+ #define DECPNAME "decPacked" /* Short name */
+ #define DECPFULLNAME "Packed Decimal conversions" /* Verbose name */
+ #define DECPAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ #define DECPACKED_DefP 32 /* default precision */
+
+ #ifndef DECNUMDIGITS
+ #define DECNUMDIGITS DECPACKED_DefP /* size if not already defined*/
+ #endif
+ #include "decNumber.h" /* context and number library */
+
+ /* Sign nibble constants */
+ #if !defined(DECPPLUSALT)
+ #define DECPPLUSALT 0x0A /* alternate plus nibble */
+ #define DECPMINUSALT 0x0B /* alternate minus nibble */
+ #define DECPPLUS 0x0C /* preferred plus nibble */
+ #define DECPMINUS 0x0D /* preferred minus nibble */
+ #define DECPPLUSALT2 0x0E /* alternate plus nibble */
+ #define DECPUNSIGNED 0x0F /* alternate plus nibble (unsigned) */
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* decPacked public routines */
+ /* ---------------------------------------------------------------- */
+ /* Conversions */
+ uint8_t * decPackedFromNumber(uint8_t *, int32_t, int32_t *,
+ const decNumber *);
+ decNumber * decPackedToNumber(const uint8_t *, int32_t, const int32_t *,
+ decNumber *);
+
+#endif
diff --git a/extern/decNumber/decQuad.c b/extern/decNumber/decQuad.c
new file mode 100644
index 0000000000..c65b30c2af
--- /dev/null
+++ b/extern/decNumber/decQuad.c
@@ -0,0 +1,135 @@
+/* ------------------------------------------------------------------ */
+/* decQuad.c -- decQuad operations module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises decQuad operations (including conversions) */
+/* ------------------------------------------------------------------ */
+
+
+/* Constant mappings for shared code */
+#define DECPMAX DECQUAD_Pmax
+#define DECEMIN DECQUAD_Emin
+#define DECEMAX DECQUAD_Emax
+#define DECEMAXD DECQUAD_EmaxD
+#define DECBYTES DECQUAD_Bytes
+#define DECSTRING DECQUAD_String
+#define DECECONL DECQUAD_EconL
+#define DECBIAS DECQUAD_Bias
+#define DECLETS DECQUAD_Declets
+#define DECQTINY (-DECQUAD_Bias)
+
+/* Type and function mappings for shared code */
+#define decFloat decQuad // Type name
+
+// Utilities and conversions (binary results, extractors, etc.)
+#define decFloatFromBCD decQuadFromBCD
+#define decFloatFromInt32 decQuadFromInt32
+#define decFloatFromPacked decQuadFromPacked
+#define decFloatFromPackedChecked decQuadFromPackedChecked
+#define decFloatFromString decQuadFromString
+#define decFloatFromUInt32 decQuadFromUInt32
+#define decFloatFromWider decQuadFromWider
+#define decFloatGetCoefficient decQuadGetCoefficient
+#define decFloatGetExponent decQuadGetExponent
+#define decFloatSetCoefficient decQuadSetCoefficient
+#define decFloatSetExponent decQuadSetExponent
+#define decFloatShow decQuadShow
+#define decFloatToBCD decQuadToBCD
+#define decFloatToEngString decQuadToEngString
+#define decFloatToInt32 decQuadToInt32
+#define decFloatToInt32Exact decQuadToInt32Exact
+#define decFloatToPacked decQuadToPacked
+#define decFloatToString decQuadToString
+#define decFloatToUInt32 decQuadToUInt32
+#define decFloatToUInt32Exact decQuadToUInt32Exact
+#define decFloatToWider decQuadToWider
+#define decFloatZero decQuadZero
+
+// Computational (result is a decFloat)
+#define decFloatAbs decQuadAbs
+#define decFloatAdd decQuadAdd
+#define decFloatAnd decQuadAnd
+#define decFloatDivide decQuadDivide
+#define decFloatDivideInteger decQuadDivideInteger
+#define decFloatFMA decQuadFMA
+#define decFloatInvert decQuadInvert
+#define decFloatLogB decQuadLogB
+#define decFloatMax decQuadMax
+#define decFloatMaxMag decQuadMaxMag
+#define decFloatMin decQuadMin
+#define decFloatMinMag decQuadMinMag
+#define decFloatMinus decQuadMinus
+#define decFloatMultiply decQuadMultiply
+#define decFloatNextMinus decQuadNextMinus
+#define decFloatNextPlus decQuadNextPlus
+#define decFloatNextToward decQuadNextToward
+#define decFloatOr decQuadOr
+#define decFloatPlus decQuadPlus
+#define decFloatQuantize decQuadQuantize
+#define decFloatReduce decQuadReduce
+#define decFloatRemainder decQuadRemainder
+#define decFloatRemainderNear decQuadRemainderNear
+#define decFloatRotate decQuadRotate
+#define decFloatScaleB decQuadScaleB
+#define decFloatShift decQuadShift
+#define decFloatSubtract decQuadSubtract
+#define decFloatToIntegralValue decQuadToIntegralValue
+#define decFloatToIntegralExact decQuadToIntegralExact
+#define decFloatXor decQuadXor
+
+// Comparisons
+#define decFloatCompare decQuadCompare
+#define decFloatCompareSignal decQuadCompareSignal
+#define decFloatCompareTotal decQuadCompareTotal
+#define decFloatCompareTotalMag decQuadCompareTotalMag
+
+// Copies
+#define decFloatCanonical decQuadCanonical
+#define decFloatCopy decQuadCopy
+#define decFloatCopyAbs decQuadCopyAbs
+#define decFloatCopyNegate decQuadCopyNegate
+#define decFloatCopySign decQuadCopySign
+
+// Non-computational
+#define decFloatClass decQuadClass
+#define decFloatClassString decQuadClassString
+#define decFloatDigits decQuadDigits
+#define decFloatIsCanonical decQuadIsCanonical
+#define decFloatIsFinite decQuadIsFinite
+#define decFloatIsInfinite decQuadIsInfinite
+#define decFloatIsInteger decQuadIsInteger
+#define decFloatIsLogical decQuadIsLogical
+#define decFloatIsNaN decQuadIsNaN
+#define decFloatIsNegative decQuadIsNegative
+#define decFloatIsNormal decQuadIsNormal
+#define decFloatIsPositive decQuadIsPositive
+#define decFloatIsSignaling decQuadIsSignaling
+#define decFloatIsSignalling decQuadIsSignalling
+#define decFloatIsSigned decQuadIsSigned
+#define decFloatIsSubnormal decQuadIsSubnormal
+#define decFloatIsZero decQuadIsZero
+#define decFloatRadix decQuadRadix
+#define decFloatSameQuantum decQuadSameQuantum
+#define decFloatVersion decQuadVersion
+
+/* And now the code itself */
+#include "decContext.h" // public includes
+#include "decQuad.h" // ..
+#include "decNumberLocal.h" // local includes (need DECPMAX)
+#include "decCommon.c" // non-arithmetic decFloat routines
+#include "decBasic.c" // basic formats routines
+
diff --git a/extern/decNumber/decQuad.h b/extern/decNumber/decQuad.h
new file mode 100644
index 0000000000..829f39a0ba
--- /dev/null
+++ b/extern/decNumber/decQuad.h
@@ -0,0 +1,177 @@
+/* ------------------------------------------------------------------ */
+/* decQuad.h -- Decimal 128-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This include file is always included by decSingle and decDouble, */
+/* and therefore also holds useful constants used by all three. */
+
+#if !defined(DECQUAD)
+ #define DECQUAD
+
+ #define DECQUADNAME "decimalQuad" /* Short name */
+ #define DECQUADTITLE "Decimal 128-bit datum" /* Verbose name */
+ #define DECQUADAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ /* parameters for decQuads */
+ #define DECQUAD_Bytes 16 /* length */
+ #define DECQUAD_Pmax 34 /* maximum precision (digits) */
+ #define DECQUAD_Emin -6143 /* minimum adjusted exponent */
+ #define DECQUAD_Emax 6144 /* maximum adjusted exponent */
+ #define DECQUAD_EmaxD 4 /* maximum exponent digits */
+ #define DECQUAD_Bias 6176 /* bias for the exponent */
+ #define DECQUAD_String 43 /* maximum string length, +1 */
+ #define DECQUAD_EconL 12 /* exponent continuation length */
+ #define DECQUAD_Declets 11 /* count of declets */
+ /* highest biased exponent (Elimit-1) */
+ #define DECQUAD_Ehigh (DECQUAD_Emax + DECQUAD_Bias - (DECQUAD_Pmax-1))
+
+ /* Required include */
+ #include "decContext.h"
+
+ /* The decQuad decimal 128-bit type, accessible by all sizes */
+ typedef union {
+ uint8_t bytes[DECQUAD_Bytes]; /* fields: 1, 5, 12, 110 bits */
+ uint16_t shorts[DECQUAD_Bytes/2];
+ uint32_t words[DECQUAD_Bytes/4];
+ #if DECUSE64
+ uint64_t longs[DECQUAD_Bytes/8];
+ #endif
+ } decQuad;
+
+ /* ---------------------------------------------------------------- */
+ /* Shared constants */
+ /* ---------------------------------------------------------------- */
+
+ /* sign and special values [top 32-bits; last two bits are don't-care
+ for Infinity on input, last bit don't-care for NaNs] */
+ #define DECFLOAT_Sign 0x80000000 /* 1 00000 00 Sign */
+ #define DECFLOAT_NaN 0x7c000000 /* 0 11111 00 NaN generic */
+ #define DECFLOAT_qNaN 0x7c000000 /* 0 11111 00 qNaN */
+ #define DECFLOAT_sNaN 0x7e000000 /* 0 11111 10 sNaN */
+ #define DECFLOAT_Inf 0x78000000 /* 0 11110 00 Infinity */
+ #define DECFLOAT_MinSp 0x78000000 /* minimum special value */
+ /* [specials are all >=MinSp] */
+ /* Sign nibble constants */
+ #if !defined(DECPPLUSALT)
+ #define DECPPLUSALT 0x0A /* alternate plus nibble */
+ #define DECPMINUSALT 0x0B /* alternate minus nibble */
+ #define DECPPLUS 0x0C /* preferred plus nibble */
+ #define DECPMINUS 0x0D /* preferred minus nibble */
+ #define DECPPLUSALT2 0x0E /* alternate plus nibble */
+ #define DECPUNSIGNED 0x0F /* alternate plus nibble (unsigned) */
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* Routines -- implemented as decFloat routines in common files */
+ /* ---------------------------------------------------------------- */
+
+ /* Utilities and conversions, extractors, etc.) */
+ extern decQuad * decQuadFromBCD(decQuad *, int32_t, const uint8_t *, int32_t);
+ extern decQuad * decQuadFromInt32(decQuad *, int32_t);
+ extern decQuad * decQuadFromPacked(decQuad *, int32_t, const uint8_t *);
+ extern decQuad * decQuadFromPackedChecked(decQuad *, int32_t, const uint8_t *);
+ extern decQuad * decQuadFromString(decQuad *, const char *, decContext *);
+ extern decQuad * decQuadFromUInt32(decQuad *, uint32_t);
+ extern int32_t decQuadGetCoefficient(const decQuad *, uint8_t *);
+ extern int32_t decQuadGetExponent(const decQuad *);
+ extern decQuad * decQuadSetCoefficient(decQuad *, const uint8_t *, int32_t);
+ extern decQuad * decQuadSetExponent(decQuad *, decContext *, int32_t);
+ extern void decQuadShow(const decQuad *, const char *);
+ extern int32_t decQuadToBCD(const decQuad *, int32_t *, uint8_t *);
+ extern char * decQuadToEngString(const decQuad *, char *);
+ extern int32_t decQuadToInt32(const decQuad *, decContext *, enum rounding);
+ extern int32_t decQuadToInt32Exact(const decQuad *, decContext *, enum rounding);
+ extern int32_t decQuadToPacked(const decQuad *, int32_t *, uint8_t *);
+ extern char * decQuadToString(const decQuad *, char *);
+ extern uint32_t decQuadToUInt32(const decQuad *, decContext *, enum rounding);
+ extern uint32_t decQuadToUInt32Exact(const decQuad *, decContext *, enum rounding);
+ extern decQuad * decQuadZero(decQuad *);
+
+ /* Computational (result is a decQuad) */
+ extern decQuad * decQuadAbs(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadAdd(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadAnd(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadDivide(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadDivideInteger(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadFMA(decQuad *, const decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadInvert(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadLogB(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMax(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMaxMag(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMin(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMinMag(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMinus(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadMultiply(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadNextMinus(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadNextPlus(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadNextToward(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadOr(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadPlus(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadQuantize(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadReduce(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadRemainder(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadRemainderNear(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadRotate(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadScaleB(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadShift(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadSubtract(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadToIntegralValue(decQuad *, const decQuad *, decContext *, enum rounding);
+ extern decQuad * decQuadToIntegralExact(decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadXor(decQuad *, const decQuad *, const decQuad *, decContext *);
+
+ /* Comparisons */
+ extern decQuad * decQuadCompare(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadCompareSignal(decQuad *, const decQuad *, const decQuad *, decContext *);
+ extern decQuad * decQuadCompareTotal(decQuad *, const decQuad *, const decQuad *);
+ extern decQuad * decQuadCompareTotalMag(decQuad *, const decQuad *, const decQuad *);
+
+ /* Copies */
+ extern decQuad * decQuadCanonical(decQuad *, const decQuad *);
+ extern decQuad * decQuadCopy(decQuad *, const decQuad *);
+ extern decQuad * decQuadCopyAbs(decQuad *, const decQuad *);
+ extern decQuad * decQuadCopyNegate(decQuad *, const decQuad *);
+ extern decQuad * decQuadCopySign(decQuad *, const decQuad *, const decQuad *);
+
+ /* Non-computational */
+ extern enum decClass decQuadClass(const decQuad *);
+ extern const char * decQuadClassString(const decQuad *);
+ extern uint32_t decQuadDigits(const decQuad *);
+ extern uint32_t decQuadIsCanonical(const decQuad *);
+ extern uint32_t decQuadIsFinite(const decQuad *);
+ extern uint32_t decQuadIsInteger(const decQuad *);
+ extern uint32_t decQuadIsLogical(const decQuad *);
+ extern uint32_t decQuadIsInfinite(const decQuad *);
+ extern uint32_t decQuadIsNaN(const decQuad *);
+ extern uint32_t decQuadIsNegative(const decQuad *);
+ extern uint32_t decQuadIsNormal(const decQuad *);
+ extern uint32_t decQuadIsPositive(const decQuad *);
+ extern uint32_t decQuadIsSignaling(const decQuad *);
+ extern uint32_t decQuadIsSignalling(const decQuad *);
+ extern uint32_t decQuadIsSigned(const decQuad *);
+ extern uint32_t decQuadIsSubnormal(const decQuad *);
+ extern uint32_t decQuadIsZero(const decQuad *);
+ extern uint32_t decQuadRadix(const decQuad *);
+ extern uint32_t decQuadSameQuantum(const decQuad *, const decQuad *);
+ extern const char * decQuadVersion(void);
+
+ /* decNumber conversions; these are implemented as macros so as not */
+ /* to force a dependency on decimal128 and decNumber in decQuad. */
+ /* decQuadFromNumber returns a decimal128 * to avoid warnings. */
+ #define decQuadToNumber(dq, dn) decimal128ToNumber((decimal128 *)(dq), dn)
+ #define decQuadFromNumber(dq, dn, set) decimal128FromNumber((decimal128 *)(dq), dn, set)
+
+#endif
diff --git a/extern/decNumber/decSingle.c b/extern/decNumber/decSingle.c
new file mode 100644
index 0000000000..85e59d5a14
--- /dev/null
+++ b/extern/decNumber/decSingle.c
@@ -0,0 +1,71 @@
+/* ------------------------------------------------------------------ */
+/* decSingle.c -- decSingle operations module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises decSingle operations (including conversions) */
+/* ------------------------------------------------------------------ */
+
+#include "decContext.h" // public includes
+#include "decSingle.h" // public includes
+
+/* Constant mappings for shared code */
+#define DECPMAX DECSINGLE_Pmax
+#define DECEMIN DECSINGLE_Emin
+#define DECEMAX DECSINGLE_Emax
+#define DECEMAXD DECSINGLE_EmaxD
+#define DECBYTES DECSINGLE_Bytes
+#define DECSTRING DECSINGLE_String
+#define DECECONL DECSINGLE_EconL
+#define DECBIAS DECSINGLE_Bias
+#define DECLETS DECSINGLE_Declets
+#define DECQTINY (-DECSINGLE_Bias)
+// parameters of next-wider format
+#define DECWBYTES DECDOUBLE_Bytes
+#define DECWPMAX DECDOUBLE_Pmax
+#define DECWECONL DECDOUBLE_EconL
+#define DECWBIAS DECDOUBLE_Bias
+
+/* Type and function mappings for shared code */
+#define decFloat decSingle // Type name
+#define decFloatWider decDouble // Type name
+
+// Utility (binary results, extractors, etc.)
+#define decFloatFromBCD decSingleFromBCD
+#define decFloatFromPacked decSingleFromPacked
+#define decFloatFromPackedChecked decSingleFromPackedChecked
+#define decFloatFromString decSingleFromString
+#define decFloatFromWider decSingleFromWider
+#define decFloatGetCoefficient decSingleGetCoefficient
+#define decFloatGetExponent decSingleGetExponent
+#define decFloatSetCoefficient decSingleSetCoefficient
+#define decFloatSetExponent decSingleSetExponent
+#define decFloatShow decSingleShow
+#define decFloatToBCD decSingleToBCD
+#define decFloatToEngString decSingleToEngString
+#define decFloatToPacked decSingleToPacked
+#define decFloatToString decSingleToString
+#define decFloatToWider decSingleToWider
+#define decFloatZero decSingleZero
+
+// Non-computational
+#define decFloatRadix decSingleRadix
+#define decFloatVersion decSingleVersion
+
+#include "decNumberLocal.h" // local includes (need DECPMAX)
+#include "decCommon.c" // non-basic decFloat routines
+// [Do not include decBasic.c for decimal32]
+
diff --git a/extern/decNumber/decSingle.h b/extern/decNumber/decSingle.h
new file mode 100644
index 0000000000..2bd1fdecb0
--- /dev/null
+++ b/extern/decNumber/decSingle.h
@@ -0,0 +1,86 @@
+/* ------------------------------------------------------------------ */
+/* decSingle.h -- Decimal 32-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is included in the package as decNumber.pdf. This */
+/* document is also available in HTML, together with specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECSINGLE)
+ #define DECSINGLE
+
+ #define DECSINGLENAME "decSingle" /* Short name */
+ #define DECSINGLETITLE "Decimal 32-bit datum" /* Verbose name */
+ #define DECSINGLEAUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ /* parameters for decSingles */
+ #define DECSINGLE_Bytes 4 /* length */
+ #define DECSINGLE_Pmax 7 /* maximum precision (digits) */
+ #define DECSINGLE_Emin -95 /* minimum adjusted exponent */
+ #define DECSINGLE_Emax 96 /* maximum adjusted exponent */
+ #define DECSINGLE_EmaxD 3 /* maximum exponent digits */
+ #define DECSINGLE_Bias 101 /* bias for the exponent */
+ #define DECSINGLE_String 16 /* maximum string length, +1 */
+ #define DECSINGLE_EconL 6 /* exponent continuation length */
+ #define DECSINGLE_Declets 2 /* count of declets */
+ /* highest biased exponent (Elimit-1) */
+ #define DECSINGLE_Ehigh (DECSINGLE_Emax + DECSINGLE_Bias - (DECSINGLE_Pmax-1))
+
+ /* Required includes */
+ #include "decContext.h"
+ #include "decQuad.h"
+ #include "decDouble.h"
+
+ /* The decSingle decimal 32-bit type, accessible by all sizes */
+ typedef union {
+ uint8_t bytes[DECSINGLE_Bytes]; /* fields: 1, 5, 6, 20 bits */
+ uint16_t shorts[DECSINGLE_Bytes/2];
+ uint32_t words[DECSINGLE_Bytes/4];
+ } decSingle;
+
+ /* ---------------------------------------------------------------- */
+ /* Routines -- implemented as decFloat routines in common files */
+ /* ---------------------------------------------------------------- */
+
+ /* Utilities (binary argument(s) or result, extractors, etc.) */
+ extern decSingle * decSingleFromBCD(decSingle *, int32_t, const uint8_t *, int32_t);
+ extern decSingle * decSingleFromPacked(decSingle *, int32_t, const uint8_t *);
+ extern decSingle * decSingleFromPackedChecked(decSingle *, int32_t, const uint8_t *);
+ extern decSingle * decSingleFromString(decSingle *, const char *, decContext *);
+ extern decSingle * decSingleFromWider(decSingle *, const decDouble *, decContext *);
+ extern int32_t decSingleGetCoefficient(const decSingle *, uint8_t *);
+ extern int32_t decSingleGetExponent(const decSingle *);
+ extern decSingle * decSingleSetCoefficient(decSingle *, const uint8_t *, int32_t);
+ extern decSingle * decSingleSetExponent(decSingle *, decContext *, int32_t);
+ extern void decSingleShow(const decSingle *, const char *);
+ extern int32_t decSingleToBCD(const decSingle *, int32_t *, uint8_t *);
+ extern char * decSingleToEngString(const decSingle *, char *);
+ extern int32_t decSingleToPacked(const decSingle *, int32_t *, uint8_t *);
+ extern char * decSingleToString(const decSingle *, char *);
+ extern decDouble * decSingleToWider(const decSingle *, decDouble *);
+ extern decSingle * decSingleZero(decSingle *);
+
+ /* (No Arithmetic routines for decSingle) */
+
+ /* Non-computational */
+ extern uint32_t decSingleRadix(const decSingle *);
+ extern const char * decSingleVersion(void);
+
+ /* decNumber conversions; these are implemented as macros so as not */
+ /* to force a dependency on decimal32 and decNumber in decSingle. */
+ /* decSingleFromNumber returns a decimal32 * to avoid warnings. */
+ #define decSingleToNumber(dq, dn) decimal32ToNumber((decimal32 *)(dq), dn)
+ #define decSingleFromNumber(dq, dn, set) decimal32FromNumber((decimal32 *)(dq), dn, set)
+
+#endif
diff --git a/extern/decNumber/decimal128.c b/extern/decNumber/decimal128.c
new file mode 100644
index 0000000000..4387f4479b
--- /dev/null
+++ b/extern/decNumber/decimal128.c
@@ -0,0 +1,553 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 128-bit format module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for decimal128 format numbers. */
+/* Conversions are supplied to and from decNumber and String. */
+/* */
+/* This is used when decNumber provides operations, either for all */
+/* operations or as a proxy between decNumber and decSingle. */
+/* */
+/* Error handling is the same as decNumber (qv.). */
+/* ------------------------------------------------------------------ */
+#include // [for memset/memcpy]
+#include // [for printf]
+
+#define DECNUMDIGITS 34 // make decNumbers with space for 34
+#include "decNumber.h" // base number library
+#include "decNumberLocal.h" // decNumber local types, etc.
+#include "decimal128.h" // our primary include
+
+/* Utility routines and tables [in decimal64.c] */
+// DPD2BIN and the reverse are renamed to prevent link-time conflict
+// if decQuad is also built in the same executable
+#define DPD2BIN DPD2BINx
+#define BIN2DPD BIN2DPDx
+extern const uInt COMBEXP[32], COMBMSD[32];
+extern const uShort DPD2BIN[1024];
+extern const uShort BIN2DPD[1000]; // [not used]
+extern const uByte BIN2CHAR[4001];
+
+extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
+extern void decDigitsToDPD(const decNumber *, uInt *, Int);
+
+#if DECTRACE || DECCHECK
+void decimal128Show(const decimal128 *); // for debug
+extern void decNumberShow(const decNumber *); // ..
+#endif
+
+/* Useful macro */
+// Clear a structure (e.g., a decNumber)
+#define DEC_clear(d) memset(d, 0, sizeof(*d))
+
+/* ------------------------------------------------------------------ */
+/* decimal128FromNumber -- convert decNumber to decimal128 */
+/* */
+/* ds is the target decimal128 */
+/* dn is the source number (assumed valid) */
+/* set is the context, used only for reporting errors */
+/* */
+/* The set argument is used only for status reporting and for the */
+/* rounding mode (used if the coefficient is more than DECIMAL128_Pmax*/
+/* digits or an overflow is detected). If the exponent is out of the */
+/* valid range then Overflow or Underflow will be raised. */
+/* After Underflow a subnormal result is possible. */
+/* */
+/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
+/* by reducing its exponent and multiplying the coefficient by a */
+/* power of ten, or if the exponent on a zero had to be clamped. */
+/* ------------------------------------------------------------------ */
+decimal128 * decimal128FromNumber(decimal128 *d128, const decNumber *dn,
+ decContext *set) {
+ uInt status=0; // status accumulator
+ Int ae; // adjusted exponent
+ decNumber dw; // work
+ decContext dc; // ..
+ uInt comb, exp; // ..
+ uInt uiwork; // for macros
+ uInt targar[4]={0,0,0,0}; // target 128-bit
+ #define targhi targar[3] // name the word with the sign
+ #define targmh targar[2] // name the words
+ #define targml targar[1] // ..
+ #define targlo targar[0] // ..
+
+ // If the number has too many digits, or the exponent could be
+ // out of range then reduce the number under the appropriate
+ // constraints. This could push the number to Infinity or zero,
+ // so this check and rounding must be done before generating the
+ // decimal128]
+ ae=dn->exponent+dn->digits-1; // [0 if special]
+ if (dn->digits>DECIMAL128_Pmax // too many digits
+ || ae>DECIMAL128_Emax // likely overflow
+ || aeround; // use supplied rounding
+ decNumberPlus(&dw, dn, &dc); // (round and check)
+ // [this changes -0 to 0, so enforce the sign...]
+ dw.bits|=dn->bits&DECNEG;
+ status=dc.status; // save status
+ dn=&dw; // use the work number
+ } // maybe out of range
+
+ if (dn->bits&DECSPECIAL) { // a special value
+ if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24;
+ else { // sNaN or qNaN
+ if ((*dn->lsu!=0 || dn->digits>1) // non-zero coefficient
+ && (dn->digitsbits&DECNAN) targhi|=DECIMAL_NaN<<24;
+ else targhi|=DECIMAL_sNaN<<24;
+ } // a NaN
+ } // special
+
+ else { // is finite
+ if (decNumberIsZero(dn)) { // is a zero
+ // set and clamp exponent
+ if (dn->exponent<-DECIMAL128_Bias) {
+ exp=0; // low clamp
+ status|=DEC_Clamped;
+ }
+ else {
+ exp=dn->exponent+DECIMAL128_Bias; // bias exponent
+ if (exp>DECIMAL128_Ehigh) { // top clamp
+ exp=DECIMAL128_Ehigh;
+ status|=DEC_Clamped;
+ }
+ }
+ comb=(exp>>9) & 0x18; // msd=0, exp top 2 bits ..
+ }
+ else { // non-zero finite number
+ uInt msd; // work
+ Int pad=0; // coefficient pad digits
+
+ // the dn is known to fit, but it may need to be padded
+ exp=(uInt)(dn->exponent+DECIMAL128_Bias); // bias exponent
+ if (exp>DECIMAL128_Ehigh) { // fold-down case
+ pad=exp-DECIMAL128_Ehigh;
+ exp=DECIMAL128_Ehigh; // [to maximum]
+ status|=DEC_Clamped;
+ }
+
+ // [fastpath for common case is not a win, here]
+ decDigitsToDPD(dn, targar, pad);
+ // save and clear the top digit
+ msd=targhi>>14;
+ targhi&=0x00003fff;
+
+ // create the combination field
+ if (msd>=8) comb=0x18 | ((exp>>11) & 0x06) | (msd & 0x01);
+ else comb=((exp>>9) & 0x18) | msd;
+ }
+ targhi|=comb<<26; // add combination field ..
+ targhi|=(exp&0xfff)<<14; // .. and exponent continuation
+ } // finite
+
+ if (dn->bits&DECNEG) targhi|=0x80000000; // add sign bit
+
+ // now write to storage; this is endian
+ if (DECLITEND) {
+ // lo -> hi
+ UBFROMUI(d128->bytes, targlo);
+ UBFROMUI(d128->bytes+4, targml);
+ UBFROMUI(d128->bytes+8, targmh);
+ UBFROMUI(d128->bytes+12, targhi);
+ }
+ else {
+ // hi -> lo
+ UBFROMUI(d128->bytes, targhi);
+ UBFROMUI(d128->bytes+4, targmh);
+ UBFROMUI(d128->bytes+8, targml);
+ UBFROMUI(d128->bytes+12, targlo);
+ }
+
+ if (status!=0) decContextSetStatus(set, status); // pass on status
+ // decimal128Show(d128);
+ return d128;
+ } // decimal128FromNumber
+
+/* ------------------------------------------------------------------ */
+/* decimal128ToNumber -- convert decimal128 to decNumber */
+/* d128 is the source decimal128 */
+/* dn is the target number, with appropriate space */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decimal128ToNumber(const decimal128 *d128, decNumber *dn) {
+ uInt msd; // coefficient MSD
+ uInt exp; // exponent top two bits
+ uInt comb; // combination field
+ Int need; // work
+ uInt uiwork; // for macros
+ uInt sourar[4]; // source 128-bit
+ #define sourhi sourar[3] // name the word with the sign
+ #define sourmh sourar[2] // and the mid-high word
+ #define sourml sourar[1] // and the mod-low word
+ #define sourlo sourar[0] // and the lowest word
+
+ // load source from storage; this is endian
+ if (DECLITEND) {
+ sourlo=UBTOUI(d128->bytes ); // directly load the low int
+ sourml=UBTOUI(d128->bytes+4 ); // then the mid-low
+ sourmh=UBTOUI(d128->bytes+8 ); // then the mid-high
+ sourhi=UBTOUI(d128->bytes+12); // then the high int
+ }
+ else {
+ sourhi=UBTOUI(d128->bytes ); // directly load the high int
+ sourmh=UBTOUI(d128->bytes+4 ); // then the mid-high
+ sourml=UBTOUI(d128->bytes+8 ); // then the mid-low
+ sourlo=UBTOUI(d128->bytes+12); // then the low int
+ }
+
+ comb=(sourhi>>26)&0x1f; // combination field
+
+ decNumberZero(dn); // clean number
+ if (sourhi&0x80000000) dn->bits=DECNEG; // set sign if negative
+
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) { // is a special
+ if (msd==0) {
+ dn->bits|=DECINF;
+ return dn; // no coefficient needed
+ }
+ else if (sourhi&0x02000000) dn->bits|=DECSNAN;
+ else dn->bits|=DECNAN;
+ msd=0; // no top digit
+ }
+ else { // is a finite number
+ dn->exponent=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; // unbiased
+ }
+
+ // get the coefficient
+ sourhi&=0x00003fff; // clean coefficient continuation
+ if (msd) { // non-zero msd
+ sourhi|=msd<<14; // prefix to coefficient
+ need=12; // process 12 declets
+ }
+ else { // msd=0
+ if (sourhi) need=11; // declets to process
+ else if (sourmh) need=10;
+ else if (sourml) need=7;
+ else if (sourlo) need=4;
+ else return dn; // easy: coefficient is 0
+ } //msd=0
+
+ decDigitsFromDPD(dn, sourar, need); // process declets
+ // decNumberShow(dn);
+ return dn;
+ } // decimal128ToNumber
+
+/* ------------------------------------------------------------------ */
+/* to-scientific-string -- conversion to numeric string */
+/* to-engineering-string -- conversion to numeric string */
+/* */
+/* decimal128ToString(d128, string); */
+/* decimal128ToEngString(d128, string); */
+/* */
+/* d128 is the decimal128 format number to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least 24 characters */
+/* */
+/* No error is possible, and no status can be set. */
+/* ------------------------------------------------------------------ */
+char * decimal128ToEngString(const decimal128 *d128, char *string){
+ decNumber dn; // work
+ decimal128ToNumber(d128, &dn);
+ decNumberToEngString(&dn, string);
+ return string;
+ } // decimal128ToEngString
+
+char * decimal128ToString(const decimal128 *d128, char *string){
+ uInt msd; // coefficient MSD
+ Int exp; // exponent top two bits or full
+ uInt comb; // combination field
+ char *cstart; // coefficient start
+ char *c; // output pointer in string
+ const uByte *u; // work
+ char *s, *t; // .. (source, target)
+ Int dpd; // ..
+ Int pre, e; // ..
+ uInt uiwork; // for macros
+
+ uInt sourar[4]; // source 128-bit
+ #define sourhi sourar[3] // name the word with the sign
+ #define sourmh sourar[2] // and the mid-high word
+ #define sourml sourar[1] // and the mod-low word
+ #define sourlo sourar[0] // and the lowest word
+
+ // load source from storage; this is endian
+ if (DECLITEND) {
+ sourlo=UBTOUI(d128->bytes ); // directly load the low int
+ sourml=UBTOUI(d128->bytes+4 ); // then the mid-low
+ sourmh=UBTOUI(d128->bytes+8 ); // then the mid-high
+ sourhi=UBTOUI(d128->bytes+12); // then the high int
+ }
+ else {
+ sourhi=UBTOUI(d128->bytes ); // directly load the high int
+ sourmh=UBTOUI(d128->bytes+4 ); // then the mid-high
+ sourml=UBTOUI(d128->bytes+8 ); // then the mid-low
+ sourlo=UBTOUI(d128->bytes+12); // then the low int
+ }
+
+ c=string; // where result will go
+ if (((Int)sourhi)<0) *c++='-'; // handle sign
+
+ comb=(sourhi>>26)&0x1f; // combination field
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) {
+ if (msd==0) { // infinity
+ strcpy(c, "Inf");
+ strcpy(c+3, "inity");
+ return string; // easy
+ }
+ if (sourhi&0x02000000) *c++='s'; // sNaN
+ strcpy(c, "NaN"); // complete word
+ c+=3; // step past
+ if (sourlo==0 && sourml==0 && sourmh==0
+ && (sourhi&0x0003ffff)==0) return string; // zero payload
+ // otherwise drop through to add integer; set correct exp
+ exp=0; msd=0; // setup for following code
+ }
+ else exp=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; // unbiased
+
+ // convert 34 digits of significand to characters
+ cstart=c; // save start of coefficient
+ if (msd) *c++='0'+(char)msd; // non-zero most significant digit
+
+ // Now decode the declets. After extracting each one, it is
+ // decoded to binary and then to a 4-char sequence by table lookup;
+ // the 4-chars are a 1-char length (significant digits, except 000
+ // has length 0). This allows us to left-align the first declet
+ // with non-zero content, then remaining ones are full 3-char
+ // length. We use fixed-length memcpys because variable-length
+ // causes a subroutine call in GCC. (These are length 4 for speed
+ // and are safe because the array has an extra terminator byte.)
+ #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
+ if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
+ else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
+ dpd=(sourhi>>4)&0x3ff; // declet 1
+ dpd2char;
+ dpd=((sourhi&0xf)<<6) | (sourmh>>26); // declet 2
+ dpd2char;
+ dpd=(sourmh>>16)&0x3ff; // declet 3
+ dpd2char;
+ dpd=(sourmh>>6)&0x3ff; // declet 4
+ dpd2char;
+ dpd=((sourmh&0x3f)<<4) | (sourml>>28); // declet 5
+ dpd2char;
+ dpd=(sourml>>18)&0x3ff; // declet 6
+ dpd2char;
+ dpd=(sourml>>8)&0x3ff; // declet 7
+ dpd2char;
+ dpd=((sourml&0xff)<<2) | (sourlo>>30); // declet 8
+ dpd2char;
+ dpd=(sourlo>>20)&0x3ff; // declet 9
+ dpd2char;
+ dpd=(sourlo>>10)&0x3ff; // declet 10
+ dpd2char;
+ dpd=(sourlo)&0x3ff; // declet 11
+ dpd2char;
+
+ if (c==cstart) *c++='0'; // all zeros -- make 0
+
+ if (exp==0) { // integer or NaN case -- easy
+ *c='\0'; // terminate
+ return string;
+ }
+
+ /* non-0 exponent */
+ e=0; // assume no E
+ pre=c-cstart+exp;
+ // [here, pre-exp is the digits count (==1 for zero)]
+ if (exp>0 || pre<-5) { // need exponential form
+ e=pre-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ } // exponential form
+
+ /* modify the coefficient, adding 0s, '.', and E+nn as needed */
+ s=c-1; // source (LSD)
+ if (pre>0) { // ddd.ddd (plain), perhaps with E
+ char *dotat=cstart+pre;
+ if (dotat=dotat; s--, t--) *t=*s; // open the gap; leave t at gap
+ *t='.'; // insert the dot
+ c++; // length increased by one
+ }
+
+ // finally add the E-part, if needed; it will never be 0, and has
+ // a maximum length of 4 digits
+ if (e!=0) {
+ *c++='E'; // starts with E
+ *c++='+'; // assume positive
+ if (e<0) {
+ *(c-1)='-'; // oops, need '-'
+ e=-e; // uInt, please
+ }
+ if (e<1000) { // 3 (or fewer) digits case
+ u=&BIN2CHAR[e*4]; // -> length byte
+ memcpy(c, u+4-*u, 4); // copy fixed 4 characters [is safe]
+ c+=*u; // bump pointer appropriately
+ }
+ else { // 4-digits
+ Int thou=((e>>3)*1049)>>17; // e/1000
+ Int rem=e-(1000*thou); // e%1000
+ *c++='0'+(char)thou;
+ u=&BIN2CHAR[rem*4]; // -> length byte
+ memcpy(c, u+1, 4); // copy fixed 3+1 characters [is safe]
+ c+=3; // bump pointer, always 3 digits
+ }
+ }
+ *c='\0'; // add terminator
+ //printf("res %s\n", string);
+ return string;
+ } // pre>0
+
+ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
+ t=c+1-pre;
+ *(t+1)='\0'; // can add terminator now
+ for (; s>=cstart; s--, t--) *t=*s; // shift whole coefficient right
+ c=cstart;
+ *c++='0'; // always starts with 0.
+ *c++='.';
+ for (; pre<0; pre++) *c++='0'; // add any 0's after '.'
+ //printf("res %s\n", string);
+ return string;
+ } // decimal128ToString
+
+/* ------------------------------------------------------------------ */
+/* to-number -- conversion from numeric string */
+/* */
+/* decimal128FromString(result, string, set); */
+/* */
+/* result is the decimal128 format number which gets the result of */
+/* the conversion */
+/* *string is the character string which should contain a valid */
+/* number (which may be a special value) */
+/* set is the context */
+/* */
+/* The context is supplied to this routine is used for error handling */
+/* (setting of status and traps) and for the rounding mode, only. */
+/* If an error occurs, the result will be a valid decimal128 NaN. */
+/* ------------------------------------------------------------------ */
+decimal128 * decimal128FromString(decimal128 *result, const char *string,
+ decContext *set) {
+ decContext dc; // work
+ decNumber dn; // ..
+
+ decContextDefault(&dc, DEC_INIT_DECIMAL128); // no traps, please
+ dc.round=set->round; // use supplied rounding
+
+ decNumberFromString(&dn, string, &dc); // will round if needed
+ decimal128FromNumber(result, &dn, &dc);
+ if (dc.status!=0) { // something happened
+ decContextSetStatus(set, dc.status); // .. pass it on
+ }
+ return result;
+ } // decimal128FromString
+
+/* ------------------------------------------------------------------ */
+/* decimal128IsCanonical -- test whether encoding is canonical */
+/* d128 is the source decimal128 */
+/* returns 1 if the encoding of d128 is canonical, 0 otherwise */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decimal128IsCanonical(const decimal128 *d128) {
+ decNumber dn; // work
+ decimal128 canon; // ..
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL128);
+ decimal128ToNumber(d128, &dn);
+ decimal128FromNumber(&canon, &dn, &dc);// canon will now be canonical
+ return memcmp(d128, &canon, DECIMAL128_Bytes)==0;
+ } // decimal128IsCanonical
+
+/* ------------------------------------------------------------------ */
+/* decimal128Canonical -- copy an encoding, ensuring it is canonical */
+/* d128 is the source decimal128 */
+/* result is the target (may be the same decimal128) */
+/* returns result */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decimal128 * decimal128Canonical(decimal128 *result, const decimal128 *d128) {
+ decNumber dn; // work
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL128);
+ decimal128ToNumber(d128, &dn);
+ decimal128FromNumber(result, &dn, &dc);// result will now be canonical
+ return result;
+ } // decimal128Canonical
+
+#if DECTRACE || DECCHECK
+/* Macros for accessing decimal128 fields. These assume the argument
+ is a reference (pointer) to the decimal128 structure, and the
+ decimal128 is in network byte order (big-endian) */
+// Get sign
+#define decimal128Sign(d) ((unsigned)(d)->bytes[0]>>7)
+
+// Get combination field
+#define decimal128Comb(d) (((d)->bytes[0] & 0x7c)>>2)
+
+// Get exponent continuation [does not remove bias]
+#define decimal128ExpCon(d) ((((d)->bytes[0] & 0x03)<<10) \
+ | ((unsigned)(d)->bytes[1]<<2) \
+ | ((unsigned)(d)->bytes[2]>>6))
+
+// Set sign [this assumes sign previously 0]
+#define decimal128SetSign(d, b) { \
+ (d)->bytes[0]|=((unsigned)(b)<<7);}
+
+// Set exponent continuation [does not apply bias]
+// This assumes range has been checked and exponent previously 0;
+// type of exponent must be unsigned
+#define decimal128SetExpCon(d, e) { \
+ (d)->bytes[0]|=(uByte)((e)>>10); \
+ (d)->bytes[1] =(uByte)(((e)&0x3fc)>>2); \
+ (d)->bytes[2]|=(uByte)(((e)&0x03)<<6);}
+
+/* ------------------------------------------------------------------ */
+/* decimal128Show -- display a decimal128 in hexadecimal [debug aid] */
+/* d128 -- the number to show */
+/* ------------------------------------------------------------------ */
+// Also shows sign/cob/expconfields extracted
+void decimal128Show(const decimal128 *d128) {
+ char buf[DECIMAL128_Bytes*2+1];
+ Int i, j=0;
+
+ if (DECLITEND) {
+ for (i=0; ibytes[15-i]);
+ }
+ printf(" D128> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
+ d128->bytes[15]>>7, (d128->bytes[15]>>2)&0x1f,
+ ((d128->bytes[15]&0x3)<<10)|(d128->bytes[14]<<2)|
+ (d128->bytes[13]>>6));
+ }
+ else {
+ for (i=0; ibytes[i]);
+ }
+ printf(" D128> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
+ decimal128Sign(d128), decimal128Comb(d128),
+ decimal128ExpCon(d128));
+ }
+ } // decimal128Show
+#endif
diff --git a/extern/decNumber/decimal128.h b/extern/decNumber/decimal128.h
new file mode 100644
index 0000000000..df72acf82b
--- /dev/null
+++ b/extern/decNumber/decimal128.h
@@ -0,0 +1,81 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 128-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2005. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECIMAL128)
+ #define DECIMAL128
+ #define DEC128NAME "decimal128" /* Short name */
+ #define DEC128FULLNAME "Decimal 128-bit Number" /* Verbose name */
+ #define DEC128AUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ /* parameters for decimal128s */
+ #define DECIMAL128_Bytes 16 /* length */
+ #define DECIMAL128_Pmax 34 /* maximum precision (digits) */
+ #define DECIMAL128_Emax 6144 /* maximum adjusted exponent */
+ #define DECIMAL128_Emin -6143 /* minimum adjusted exponent */
+ #define DECIMAL128_Bias 6176 /* bias for the exponent */
+ #define DECIMAL128_String 43 /* maximum string length, +1 */
+ #define DECIMAL128_EconL 12 /* exp. continuation length */
+ /* highest biased exponent (Elimit-1) */
+ #define DECIMAL128_Ehigh (DECIMAL128_Emax+DECIMAL128_Bias-DECIMAL128_Pmax+1)
+
+ /* check enough digits, if pre-defined */
+ #if defined(DECNUMDIGITS)
+ #if (DECNUMDIGITS=34 for safe use
+ #endif
+ #endif
+
+ #ifndef DECNUMDIGITS
+ #define DECNUMDIGITS DECIMAL128_Pmax /* size if not already defined*/
+ #endif
+ #ifndef DECNUMBER
+ #include "decNumber.h" /* context and number library */
+ #endif
+
+ /* Decimal 128-bit type, accessible by bytes */
+ typedef struct {
+ uint8_t bytes[DECIMAL128_Bytes]; /* decimal128: 1, 5, 12, 110 bits*/
+ } decimal128;
+
+ /* special values [top byte excluding sign bit; last two bits are */
+ /* don't-care for Infinity on input, last bit don't-care for NaN] */
+ #if !defined(DECIMAL_NaN)
+ #define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */
+ #define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */
+ #define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* Routines */
+ /* ---------------------------------------------------------------- */
+ /* String conversions */
+ decimal128 * decimal128FromString(decimal128 *, const char *, decContext *);
+ char * decimal128ToString(const decimal128 *, char *);
+ char * decimal128ToEngString(const decimal128 *, char *);
+
+ /* decNumber conversions */
+ decimal128 * decimal128FromNumber(decimal128 *, const decNumber *,
+ decContext *);
+ decNumber * decimal128ToNumber(const decimal128 *, decNumber *);
+
+ /* Format-dependent utilities */
+ uint32_t decimal128IsCanonical(const decimal128 *);
+ decimal128 * decimal128Canonical(decimal128 *, const decimal128 *);
+
+#endif
diff --git a/extern/decNumber/decimal32.c b/extern/decNumber/decimal32.c
new file mode 100644
index 0000000000..2fad512085
--- /dev/null
+++ b/extern/decNumber/decimal32.c
@@ -0,0 +1,476 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 32-bit format module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for decimal32 format numbers. */
+/* Conversions are supplied to and from decNumber and String. */
+/* */
+/* This is used when decNumber provides operations, either for all */
+/* operations or as a proxy between decNumber and decSingle. */
+/* */
+/* Error handling is the same as decNumber (qv.). */
+/* ------------------------------------------------------------------ */
+#include // [for memset/memcpy]
+#include // [for printf]
+
+#define DECNUMDIGITS 7 // make decNumbers with space for 7
+#include "decNumber.h" // base number library
+#include "decNumberLocal.h" // decNumber local types, etc.
+#include "decimal32.h" // our primary include
+
+/* Utility tables and routines [in decimal64.c] */
+// DPD2BIN and the reverse are renamed to prevent link-time conflict
+// if decQuad is also built in the same executable
+#define DPD2BIN DPD2BINx
+#define BIN2DPD BIN2DPDx
+extern const uInt COMBEXP[32], COMBMSD[32];
+extern const uShort DPD2BIN[1024];
+extern const uShort BIN2DPD[1000];
+extern const uByte BIN2CHAR[4001];
+
+extern void decDigitsToDPD(const decNumber *, uInt *, Int);
+extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
+
+#if DECTRACE || DECCHECK
+void decimal32Show(const decimal32 *); // for debug
+extern void decNumberShow(const decNumber *); // ..
+#endif
+
+/* Useful macro */
+// Clear a structure (e.g., a decNumber)
+#define DEC_clear(d) memset(d, 0, sizeof(*d))
+
+/* ------------------------------------------------------------------ */
+/* decimal32FromNumber -- convert decNumber to decimal32 */
+/* */
+/* ds is the target decimal32 */
+/* dn is the source number (assumed valid) */
+/* set is the context, used only for reporting errors */
+/* */
+/* The set argument is used only for status reporting and for the */
+/* rounding mode (used if the coefficient is more than DECIMAL32_Pmax */
+/* digits or an overflow is detected). If the exponent is out of the */
+/* valid range then Overflow or Underflow will be raised. */
+/* After Underflow a subnormal result is possible. */
+/* */
+/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
+/* by reducing its exponent and multiplying the coefficient by a */
+/* power of ten, or if the exponent on a zero had to be clamped. */
+/* ------------------------------------------------------------------ */
+decimal32 * decimal32FromNumber(decimal32 *d32, const decNumber *dn,
+ decContext *set) {
+ uInt status=0; // status accumulator
+ Int ae; // adjusted exponent
+ decNumber dw; // work
+ decContext dc; // ..
+ uInt comb, exp; // ..
+ uInt uiwork; // for macros
+ uInt targ=0; // target 32-bit
+
+ // If the number has too many digits, or the exponent could be
+ // out of range then reduce the number under the appropriate
+ // constraints. This could push the number to Infinity or zero,
+ // so this check and rounding must be done before generating the
+ // decimal32]
+ ae=dn->exponent+dn->digits-1; // [0 if special]
+ if (dn->digits>DECIMAL32_Pmax // too many digits
+ || ae>DECIMAL32_Emax // likely overflow
+ || aeround; // use supplied rounding
+ decNumberPlus(&dw, dn, &dc); // (round and check)
+ // [this changes -0 to 0, so enforce the sign...]
+ dw.bits|=dn->bits&DECNEG;
+ status=dc.status; // save status
+ dn=&dw; // use the work number
+ } // maybe out of range
+
+ if (dn->bits&DECSPECIAL) { // a special value
+ if (dn->bits&DECINF) targ=DECIMAL_Inf<<24;
+ else { // sNaN or qNaN
+ if ((*dn->lsu!=0 || dn->digits>1) // non-zero coefficient
+ && (dn->digitsbits&DECNAN) targ|=DECIMAL_NaN<<24;
+ else targ|=DECIMAL_sNaN<<24;
+ } // a NaN
+ } // special
+
+ else { // is finite
+ if (decNumberIsZero(dn)) { // is a zero
+ // set and clamp exponent
+ if (dn->exponent<-DECIMAL32_Bias) {
+ exp=0; // low clamp
+ status|=DEC_Clamped;
+ }
+ else {
+ exp=dn->exponent+DECIMAL32_Bias; // bias exponent
+ if (exp>DECIMAL32_Ehigh) { // top clamp
+ exp=DECIMAL32_Ehigh;
+ status|=DEC_Clamped;
+ }
+ }
+ comb=(exp>>3) & 0x18; // msd=0, exp top 2 bits ..
+ }
+ else { // non-zero finite number
+ uInt msd; // work
+ Int pad=0; // coefficient pad digits
+
+ // the dn is known to fit, but it may need to be padded
+ exp=(uInt)(dn->exponent+DECIMAL32_Bias); // bias exponent
+ if (exp>DECIMAL32_Ehigh) { // fold-down case
+ pad=exp-DECIMAL32_Ehigh;
+ exp=DECIMAL32_Ehigh; // [to maximum]
+ status|=DEC_Clamped;
+ }
+
+ // fastpath common case
+ if (DECDPUN==3 && pad==0) {
+ targ=BIN2DPD[dn->lsu[0]];
+ if (dn->digits>3) targ|=(uInt)(BIN2DPD[dn->lsu[1]])<<10;
+ msd=(dn->digits==7 ? dn->lsu[2] : 0);
+ }
+ else { // general case
+ decDigitsToDPD(dn, &targ, pad);
+ // save and clear the top digit
+ msd=targ>>20;
+ targ&=0x000fffff;
+ }
+
+ // create the combination field
+ if (msd>=8) comb=0x18 | ((exp>>5) & 0x06) | (msd & 0x01);
+ else comb=((exp>>3) & 0x18) | msd;
+ }
+ targ|=comb<<26; // add combination field ..
+ targ|=(exp&0x3f)<<20; // .. and exponent continuation
+ } // finite
+
+ if (dn->bits&DECNEG) targ|=0x80000000; // add sign bit
+
+ // now write to storage; this is endian
+ UBFROMUI(d32->bytes, targ); // directly store the int
+
+ if (status!=0) decContextSetStatus(set, status); // pass on status
+ // decimal32Show(d32);
+ return d32;
+ } // decimal32FromNumber
+
+/* ------------------------------------------------------------------ */
+/* decimal32ToNumber -- convert decimal32 to decNumber */
+/* d32 is the source decimal32 */
+/* dn is the target number, with appropriate space */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decimal32ToNumber(const decimal32 *d32, decNumber *dn) {
+ uInt msd; // coefficient MSD
+ uInt exp; // exponent top two bits
+ uInt comb; // combination field
+ uInt sour; // source 32-bit
+ uInt uiwork; // for macros
+
+ // load source from storage; this is endian
+ sour=UBTOUI(d32->bytes); // directly load the int
+
+ comb=(sour>>26)&0x1f; // combination field
+
+ decNumberZero(dn); // clean number
+ if (sour&0x80000000) dn->bits=DECNEG; // set sign if negative
+
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) { // is a special
+ if (msd==0) {
+ dn->bits|=DECINF;
+ return dn; // no coefficient needed
+ }
+ else if (sour&0x02000000) dn->bits|=DECSNAN;
+ else dn->bits|=DECNAN;
+ msd=0; // no top digit
+ }
+ else { // is a finite number
+ dn->exponent=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; // unbiased
+ }
+
+ // get the coefficient
+ sour&=0x000fffff; // clean coefficient continuation
+ if (msd) { // non-zero msd
+ sour|=msd<<20; // prefix to coefficient
+ decDigitsFromDPD(dn, &sour, 3); // process 3 declets
+ return dn;
+ }
+ // msd=0
+ if (!sour) return dn; // easy: coefficient is 0
+ if (sour&0x000ffc00) // need 2 declets?
+ decDigitsFromDPD(dn, &sour, 2); // process 2 declets
+ else
+ decDigitsFromDPD(dn, &sour, 1); // process 1 declet
+ return dn;
+ } // decimal32ToNumber
+
+/* ------------------------------------------------------------------ */
+/* to-scientific-string -- conversion to numeric string */
+/* to-engineering-string -- conversion to numeric string */
+/* */
+/* decimal32ToString(d32, string); */
+/* decimal32ToEngString(d32, string); */
+/* */
+/* d32 is the decimal32 format number to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least 24 characters */
+/* */
+/* No error is possible, and no status can be set. */
+/* ------------------------------------------------------------------ */
+char * decimal32ToEngString(const decimal32 *d32, char *string){
+ decNumber dn; // work
+ decimal32ToNumber(d32, &dn);
+ decNumberToEngString(&dn, string);
+ return string;
+ } // decimal32ToEngString
+
+char * decimal32ToString(const decimal32 *d32, char *string){
+ uInt msd; // coefficient MSD
+ Int exp; // exponent top two bits or full
+ uInt comb; // combination field
+ char *cstart; // coefficient start
+ char *c; // output pointer in string
+ const uByte *u; // work
+ char *s, *t; // .. (source, target)
+ Int dpd; // ..
+ Int pre, e; // ..
+ uInt uiwork; // for macros
+ uInt sour; // source 32-bit
+
+ // load source from storage; this is endian
+ sour=UBTOUI(d32->bytes); // directly load the int
+
+ c=string; // where result will go
+ if (((Int)sour)<0) *c++='-'; // handle sign
+
+ comb=(sour>>26)&0x1f; // combination field
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) {
+ if (msd==0) { // infinity
+ strcpy(c, "Inf");
+ strcpy(c+3, "inity");
+ return string; // easy
+ }
+ if (sour&0x02000000) *c++='s'; // sNaN
+ strcpy(c, "NaN"); // complete word
+ c+=3; // step past
+ if ((sour&0x000fffff)==0) return string; // zero payload
+ // otherwise drop through to add integer; set correct exp
+ exp=0; msd=0; // setup for following code
+ }
+ else exp=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; // unbiased
+
+ // convert 7 digits of significand to characters
+ cstart=c; // save start of coefficient
+ if (msd) *c++='0'+(char)msd; // non-zero most significant digit
+
+ // Now decode the declets. After extracting each one, it is
+ // decoded to binary and then to a 4-char sequence by table lookup;
+ // the 4-chars are a 1-char length (significant digits, except 000
+ // has length 0). This allows us to left-align the first declet
+ // with non-zero content, then remaining ones are full 3-char
+ // length. We use fixed-length memcpys because variable-length
+ // causes a subroutine call in GCC. (These are length 4 for speed
+ // and are safe because the array has an extra terminator byte.)
+ #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
+ if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
+ else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
+
+ dpd=(sour>>10)&0x3ff; // declet 1
+ dpd2char;
+ dpd=(sour)&0x3ff; // declet 2
+ dpd2char;
+
+ if (c==cstart) *c++='0'; // all zeros -- make 0
+
+ if (exp==0) { // integer or NaN case -- easy
+ *c='\0'; // terminate
+ return string;
+ }
+
+ /* non-0 exponent */
+ e=0; // assume no E
+ pre=c-cstart+exp;
+ // [here, pre-exp is the digits count (==1 for zero)]
+ if (exp>0 || pre<-5) { // need exponential form
+ e=pre-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ } // exponential form
+
+ /* modify the coefficient, adding 0s, '.', and E+nn as needed */
+ s=c-1; // source (LSD)
+ if (pre>0) { // ddd.ddd (plain), perhaps with E
+ char *dotat=cstart+pre;
+ if (dotat=dotat; s--, t--) *t=*s; // open the gap; leave t at gap
+ *t='.'; // insert the dot
+ c++; // length increased by one
+ }
+
+ // finally add the E-part, if needed; it will never be 0, and has
+ // a maximum length of 3 digits (E-101 case)
+ if (e!=0) {
+ *c++='E'; // starts with E
+ *c++='+'; // assume positive
+ if (e<0) {
+ *(c-1)='-'; // oops, need '-'
+ e=-e; // uInt, please
+ }
+ u=&BIN2CHAR[e*4]; // -> length byte
+ memcpy(c, u+4-*u, 4); // copy fixed 4 characters [is safe]
+ c+=*u; // bump pointer appropriately
+ }
+ *c='\0'; // add terminator
+ //printf("res %s\n", string);
+ return string;
+ } // pre>0
+
+ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
+ t=c+1-pre;
+ *(t+1)='\0'; // can add terminator now
+ for (; s>=cstart; s--, t--) *t=*s; // shift whole coefficient right
+ c=cstart;
+ *c++='0'; // always starts with 0.
+ *c++='.';
+ for (; pre<0; pre++) *c++='0'; // add any 0's after '.'
+ //printf("res %s\n", string);
+ return string;
+ } // decimal32ToString
+
+/* ------------------------------------------------------------------ */
+/* to-number -- conversion from numeric string */
+/* */
+/* decimal32FromString(result, string, set); */
+/* */
+/* result is the decimal32 format number which gets the result of */
+/* the conversion */
+/* *string is the character string which should contain a valid */
+/* number (which may be a special value) */
+/* set is the context */
+/* */
+/* The context is supplied to this routine is used for error handling */
+/* (setting of status and traps) and for the rounding mode, only. */
+/* If an error occurs, the result will be a valid decimal32 NaN. */
+/* ------------------------------------------------------------------ */
+decimal32 * decimal32FromString(decimal32 *result, const char *string,
+ decContext *set) {
+ decContext dc; // work
+ decNumber dn; // ..
+
+ decContextDefault(&dc, DEC_INIT_DECIMAL32); // no traps, please
+ dc.round=set->round; // use supplied rounding
+
+ decNumberFromString(&dn, string, &dc); // will round if needed
+ decimal32FromNumber(result, &dn, &dc);
+ if (dc.status!=0) { // something happened
+ decContextSetStatus(set, dc.status); // .. pass it on
+ }
+ return result;
+ } // decimal32FromString
+
+/* ------------------------------------------------------------------ */
+/* decimal32IsCanonical -- test whether encoding is canonical */
+/* d32 is the source decimal32 */
+/* returns 1 if the encoding of d32 is canonical, 0 otherwise */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decimal32IsCanonical(const decimal32 *d32) {
+ decNumber dn; // work
+ decimal32 canon; // ..
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL32);
+ decimal32ToNumber(d32, &dn);
+ decimal32FromNumber(&canon, &dn, &dc);// canon will now be canonical
+ return memcmp(d32, &canon, DECIMAL32_Bytes)==0;
+ } // decimal32IsCanonical
+
+/* ------------------------------------------------------------------ */
+/* decimal32Canonical -- copy an encoding, ensuring it is canonical */
+/* d32 is the source decimal32 */
+/* result is the target (may be the same decimal32) */
+/* returns result */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decimal32 * decimal32Canonical(decimal32 *result, const decimal32 *d32) {
+ decNumber dn; // work
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL32);
+ decimal32ToNumber(d32, &dn);
+ decimal32FromNumber(result, &dn, &dc);// result will now be canonical
+ return result;
+ } // decimal32Canonical
+
+#if DECTRACE || DECCHECK
+/* Macros for accessing decimal32 fields. These assume the argument
+ is a reference (pointer) to the decimal32 structure, and the
+ decimal32 is in network byte order (big-endian) */
+// Get sign
+#define decimal32Sign(d) ((unsigned)(d)->bytes[0]>>7)
+
+// Get combination field
+#define decimal32Comb(d) (((d)->bytes[0] & 0x7c)>>2)
+
+// Get exponent continuation [does not remove bias]
+#define decimal32ExpCon(d) ((((d)->bytes[0] & 0x03)<<4) \
+ | ((unsigned)(d)->bytes[1]>>4))
+
+// Set sign [this assumes sign previously 0]
+#define decimal32SetSign(d, b) { \
+ (d)->bytes[0]|=((unsigned)(b)<<7);}
+
+// Set exponent continuation [does not apply bias]
+// This assumes range has been checked and exponent previously 0;
+// type of exponent must be unsigned
+#define decimal32SetExpCon(d, e) { \
+ (d)->bytes[0]|=(uByte)((e)>>4); \
+ (d)->bytes[1]|=(uByte)(((e)&0x0F)<<4);}
+
+/* ------------------------------------------------------------------ */
+/* decimal32Show -- display a decimal32 in hexadecimal [debug aid] */
+/* d32 -- the number to show */
+/* ------------------------------------------------------------------ */
+// Also shows sign/cob/expconfields extracted - valid bigendian only
+void decimal32Show(const decimal32 *d32) {
+ char buf[DECIMAL32_Bytes*2+1];
+ Int i, j=0;
+
+ if (DECLITEND) {
+ for (i=0; ibytes[3-i]);
+ }
+ printf(" D32> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
+ d32->bytes[3]>>7, (d32->bytes[3]>>2)&0x1f,
+ ((d32->bytes[3]&0x3)<<4)| (d32->bytes[2]>>4));
+ }
+ else {
+ for (i=0; ibytes[i]);
+ }
+ printf(" D32> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
+ decimal32Sign(d32), decimal32Comb(d32), decimal32ExpCon(d32));
+ }
+ } // decimal32Show
+#endif
diff --git a/extern/decNumber/decimal32.h b/extern/decNumber/decimal32.h
new file mode 100644
index 0000000000..faaf9a96e2
--- /dev/null
+++ b/extern/decNumber/decimal32.h
@@ -0,0 +1,81 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 32-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2006. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECIMAL32)
+ #define DECIMAL32
+ #define DEC32NAME "decimal32" /* Short name */
+ #define DEC32FULLNAME "Decimal 32-bit Number" /* Verbose name */
+ #define DEC32AUTHOR "Mike Cowlishaw" /* Who to blame */
+
+ /* parameters for decimal32s */
+ #define DECIMAL32_Bytes 4 /* length */
+ #define DECIMAL32_Pmax 7 /* maximum precision (digits) */
+ #define DECIMAL32_Emax 96 /* maximum adjusted exponent */
+ #define DECIMAL32_Emin -95 /* minimum adjusted exponent */
+ #define DECIMAL32_Bias 101 /* bias for the exponent */
+ #define DECIMAL32_String 15 /* maximum string length, +1 */
+ #define DECIMAL32_EconL 6 /* exp. continuation length */
+ /* highest biased exponent (Elimit-1) */
+ #define DECIMAL32_Ehigh (DECIMAL32_Emax+DECIMAL32_Bias-DECIMAL32_Pmax+1)
+
+ /* check enough digits, if pre-defined */
+ #if defined(DECNUMDIGITS)
+ #if (DECNUMDIGITS=7 for safe use
+ #endif
+ #endif
+
+ #ifndef DECNUMDIGITS
+ #define DECNUMDIGITS DECIMAL32_Pmax /* size if not already defined*/
+ #endif
+ #ifndef DECNUMBER
+ #include "decNumber.h" /* context and number library */
+ #endif
+
+ /* Decimal 32-bit type, accessible by bytes */
+ typedef struct {
+ uint8_t bytes[DECIMAL32_Bytes]; /* decimal32: 1, 5, 6, 20 bits*/
+ } decimal32;
+
+ /* special values [top byte excluding sign bit; last two bits are */
+ /* don't-care for Infinity on input, last bit don't-care for NaN] */
+ #if !defined(DECIMAL_NaN)
+ #define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */
+ #define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */
+ #define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* Routines */
+ /* ---------------------------------------------------------------- */
+ /* String conversions */
+ decimal32 * decimal32FromString(decimal32 *, const char *, decContext *);
+ char * decimal32ToString(const decimal32 *, char *);
+ char * decimal32ToEngString(const decimal32 *, char *);
+
+ /* decNumber conversions */
+ decimal32 * decimal32FromNumber(decimal32 *, const decNumber *,
+ decContext *);
+ decNumber * decimal32ToNumber(const decimal32 *, decNumber *);
+
+ /* Format-dependent utilities */
+ uint32_t decimal32IsCanonical(const decimal32 *);
+ decimal32 * decimal32Canonical(decimal32 *, const decimal32 *);
+
+#endif
diff --git a/extern/decNumber/decimal64.c b/extern/decNumber/decimal64.c
new file mode 100644
index 0000000000..4bfc5fb6b5
--- /dev/null
+++ b/extern/decNumber/decimal64.c
@@ -0,0 +1,839 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 64-bit format module */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2009. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+/* This module comprises the routines for decimal64 format numbers. */
+/* Conversions are supplied to and from decNumber and String. */
+/* */
+/* This is used when decNumber provides operations, either for all */
+/* operations or as a proxy between decNumber and decSingle. */
+/* */
+/* Error handling is the same as decNumber (qv.). */
+/* ------------------------------------------------------------------ */
+#include // [for memset/memcpy]
+#include // [for printf]
+
+#define DECNUMDIGITS 16 // make decNumbers with space for 16
+#include "decNumber.h" // base number library
+#include "decNumberLocal.h" // decNumber local types, etc.
+#include "decimal64.h" // our primary include
+
+/* Utility routines and tables [in decimal64.c]; externs for C++ */
+// DPD2BIN and the reverse are renamed to prevent link-time conflict
+// if decQuad is also built in the same executable
+#define DPD2BIN DPD2BINx
+#define BIN2DPD BIN2DPDx
+extern const uInt COMBEXP[32], COMBMSD[32];
+extern const uShort DPD2BIN[1024];
+extern const uShort BIN2DPD[1000];
+extern const uByte BIN2CHAR[4001];
+
+extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
+extern void decDigitsToDPD(const decNumber *, uInt *, Int);
+
+#if DECTRACE || DECCHECK
+void decimal64Show(const decimal64 *); // for debug
+extern void decNumberShow(const decNumber *); // ..
+#endif
+
+/* Useful macro */
+// Clear a structure (e.g., a decNumber)
+#define DEC_clear(d) memset(d, 0, sizeof(*d))
+
+/* define and include the tables to use for conversions */
+#define DEC_BIN2CHAR 1
+#define DEC_DPD2BIN 1
+#define DEC_BIN2DPD 1 // used for all sizes
+#include "decDPD.h" // lookup tables
+
+/* ------------------------------------------------------------------ */
+/* decimal64FromNumber -- convert decNumber to decimal64 */
+/* */
+/* ds is the target decimal64 */
+/* dn is the source number (assumed valid) */
+/* set is the context, used only for reporting errors */
+/* */
+/* The set argument is used only for status reporting and for the */
+/* rounding mode (used if the coefficient is more than DECIMAL64_Pmax */
+/* digits or an overflow is detected). If the exponent is out of the */
+/* valid range then Overflow or Underflow will be raised. */
+/* After Underflow a subnormal result is possible. */
+/* */
+/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
+/* by reducing its exponent and multiplying the coefficient by a */
+/* power of ten, or if the exponent on a zero had to be clamped. */
+/* ------------------------------------------------------------------ */
+decimal64 * decimal64FromNumber(decimal64 *d64, const decNumber *dn,
+ decContext *set) {
+ uInt status=0; // status accumulator
+ Int ae; // adjusted exponent
+ decNumber dw; // work
+ decContext dc; // ..
+ uInt comb, exp; // ..
+ uInt uiwork; // for macros
+ uInt targar[2]={0, 0}; // target 64-bit
+ #define targhi targar[1] // name the word with the sign
+ #define targlo targar[0] // and the other
+
+ // If the number has too many digits, or the exponent could be
+ // out of range then reduce the number under the appropriate
+ // constraints. This could push the number to Infinity or zero,
+ // so this check and rounding must be done before generating the
+ // decimal64]
+ ae=dn->exponent+dn->digits-1; // [0 if special]
+ if (dn->digits>DECIMAL64_Pmax // too many digits
+ || ae>DECIMAL64_Emax // likely overflow
+ || aeround; // use supplied rounding
+ decNumberPlus(&dw, dn, &dc); // (round and check)
+ // [this changes -0 to 0, so enforce the sign...]
+ dw.bits|=dn->bits&DECNEG;
+ status=dc.status; // save status
+ dn=&dw; // use the work number
+ } // maybe out of range
+
+ if (dn->bits&DECSPECIAL) { // a special value
+ if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24;
+ else { // sNaN or qNaN
+ if ((*dn->lsu!=0 || dn->digits>1) // non-zero coefficient
+ && (dn->digitsbits&DECNAN) targhi|=DECIMAL_NaN<<24;
+ else targhi|=DECIMAL_sNaN<<24;
+ } // a NaN
+ } // special
+
+ else { // is finite
+ if (decNumberIsZero(dn)) { // is a zero
+ // set and clamp exponent
+ if (dn->exponent<-DECIMAL64_Bias) {
+ exp=0; // low clamp
+ status|=DEC_Clamped;
+ }
+ else {
+ exp=dn->exponent+DECIMAL64_Bias; // bias exponent
+ if (exp>DECIMAL64_Ehigh) { // top clamp
+ exp=DECIMAL64_Ehigh;
+ status|=DEC_Clamped;
+ }
+ }
+ comb=(exp>>5) & 0x18; // msd=0, exp top 2 bits ..
+ }
+ else { // non-zero finite number
+ uInt msd; // work
+ Int pad=0; // coefficient pad digits
+
+ // the dn is known to fit, but it may need to be padded
+ exp=(uInt)(dn->exponent+DECIMAL64_Bias); // bias exponent
+ if (exp>DECIMAL64_Ehigh) { // fold-down case
+ pad=exp-DECIMAL64_Ehigh;
+ exp=DECIMAL64_Ehigh; // [to maximum]
+ status|=DEC_Clamped;
+ }
+
+ // fastpath common case
+ if (DECDPUN==3 && pad==0) {
+ uInt dpd[6]={0,0,0,0,0,0};
+ uInt i;
+ Int d=dn->digits;
+ for (i=0; d>0; i++, d-=3) dpd[i]=BIN2DPD[dn->lsu[i]];
+ targlo =dpd[0];
+ targlo|=dpd[1]<<10;
+ targlo|=dpd[2]<<20;
+ if (dn->digits>6) {
+ targlo|=dpd[3]<<30;
+ targhi =dpd[3]>>2;
+ targhi|=dpd[4]<<8;
+ }
+ msd=dpd[5]; // [did not really need conversion]
+ }
+ else { // general case
+ decDigitsToDPD(dn, targar, pad);
+ // save and clear the top digit
+ msd=targhi>>18;
+ targhi&=0x0003ffff;
+ }
+
+ // create the combination field
+ if (msd>=8) comb=0x18 | ((exp>>7) & 0x06) | (msd & 0x01);
+ else comb=((exp>>5) & 0x18) | msd;
+ }
+ targhi|=comb<<26; // add combination field ..
+ targhi|=(exp&0xff)<<18; // .. and exponent continuation
+ } // finite
+
+ if (dn->bits&DECNEG) targhi|=0x80000000; // add sign bit
+
+ // now write to storage; this is now always endian
+ if (DECLITEND) {
+ // lo int then hi
+ UBFROMUI(d64->bytes, targar[0]);
+ UBFROMUI(d64->bytes+4, targar[1]);
+ }
+ else {
+ // hi int then lo
+ UBFROMUI(d64->bytes, targar[1]);
+ UBFROMUI(d64->bytes+4, targar[0]);
+ }
+
+ if (status!=0) decContextSetStatus(set, status); // pass on status
+ // decimal64Show(d64);
+ return d64;
+ } // decimal64FromNumber
+
+/* ------------------------------------------------------------------ */
+/* decimal64ToNumber -- convert decimal64 to decNumber */
+/* d64 is the source decimal64 */
+/* dn is the target number, with appropriate space */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decNumber * decimal64ToNumber(const decimal64 *d64, decNumber *dn) {
+ uInt msd; // coefficient MSD
+ uInt exp; // exponent top two bits
+ uInt comb; // combination field
+ Int need; // work
+ uInt uiwork; // for macros
+ uInt sourar[2]; // source 64-bit
+ #define sourhi sourar[1] // name the word with the sign
+ #define sourlo sourar[0] // and the lower word
+
+ // load source from storage; this is endian
+ if (DECLITEND) {
+ sourlo=UBTOUI(d64->bytes ); // directly load the low int
+ sourhi=UBTOUI(d64->bytes+4); // then the high int
+ }
+ else {
+ sourhi=UBTOUI(d64->bytes ); // directly load the high int
+ sourlo=UBTOUI(d64->bytes+4); // then the low int
+ }
+
+ comb=(sourhi>>26)&0x1f; // combination field
+
+ decNumberZero(dn); // clean number
+ if (sourhi&0x80000000) dn->bits=DECNEG; // set sign if negative
+
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) { // is a special
+ if (msd==0) {
+ dn->bits|=DECINF;
+ return dn; // no coefficient needed
+ }
+ else if (sourhi&0x02000000) dn->bits|=DECSNAN;
+ else dn->bits|=DECNAN;
+ msd=0; // no top digit
+ }
+ else { // is a finite number
+ dn->exponent=(exp<<8)+((sourhi>>18)&0xff)-DECIMAL64_Bias; // unbiased
+ }
+
+ // get the coefficient
+ sourhi&=0x0003ffff; // clean coefficient continuation
+ if (msd) { // non-zero msd
+ sourhi|=msd<<18; // prefix to coefficient
+ need=6; // process 6 declets
+ }
+ else { // msd=0
+ if (!sourhi) { // top word 0
+ if (!sourlo) return dn; // easy: coefficient is 0
+ need=3; // process at least 3 declets
+ if (sourlo&0xc0000000) need++; // process 4 declets
+ // [could reduce some more, here]
+ }
+ else { // some bits in top word, msd=0
+ need=4; // process at least 4 declets
+ if (sourhi&0x0003ff00) need++; // top declet!=0, process 5
+ }
+ } //msd=0
+
+ decDigitsFromDPD(dn, sourar, need); // process declets
+ return dn;
+ } // decimal64ToNumber
+
+
+/* ------------------------------------------------------------------ */
+/* to-scientific-string -- conversion to numeric string */
+/* to-engineering-string -- conversion to numeric string */
+/* */
+/* decimal64ToString(d64, string); */
+/* decimal64ToEngString(d64, string); */
+/* */
+/* d64 is the decimal64 format number to convert */
+/* string is the string where the result will be laid out */
+/* */
+/* string must be at least 24 characters */
+/* */
+/* No error is possible, and no status can be set. */
+/* ------------------------------------------------------------------ */
+char * decimal64ToEngString(const decimal64 *d64, char *string){
+ decNumber dn; // work
+ decimal64ToNumber(d64, &dn);
+ decNumberToEngString(&dn, string);
+ return string;
+ } // decimal64ToEngString
+
+char * decimal64ToString(const decimal64 *d64, char *string){
+ uInt msd; // coefficient MSD
+ Int exp; // exponent top two bits or full
+ uInt comb; // combination field
+ char *cstart; // coefficient start
+ char *c; // output pointer in string
+ const uByte *u; // work
+ char *s, *t; // .. (source, target)
+ Int dpd; // ..
+ Int pre, e; // ..
+ uInt uiwork; // for macros
+
+ uInt sourar[2]; // source 64-bit
+ #define sourhi sourar[1] // name the word with the sign
+ #define sourlo sourar[0] // and the lower word
+
+ // load source from storage; this is endian
+ if (DECLITEND) {
+ sourlo=UBTOUI(d64->bytes ); // directly load the low int
+ sourhi=UBTOUI(d64->bytes+4); // then the high int
+ }
+ else {
+ sourhi=UBTOUI(d64->bytes ); // directly load the high int
+ sourlo=UBTOUI(d64->bytes+4); // then the low int
+ }
+
+ c=string; // where result will go
+ if (((Int)sourhi)<0) *c++='-'; // handle sign
+
+ comb=(sourhi>>26)&0x1f; // combination field
+ msd=COMBMSD[comb]; // decode the combination field
+ exp=COMBEXP[comb]; // ..
+
+ if (exp==3) {
+ if (msd==0) { // infinity
+ strcpy(c, "Inf");
+ strcpy(c+3, "inity");
+ return string; // easy
+ }
+ if (sourhi&0x02000000) *c++='s'; // sNaN
+ strcpy(c, "NaN"); // complete word
+ c+=3; // step past
+ if (sourlo==0 && (sourhi&0x0003ffff)==0) return string; // zero payload
+ // otherwise drop through to add integer; set correct exp
+ exp=0; msd=0; // setup for following code
+ }
+ else exp=(exp<<8)+((sourhi>>18)&0xff)-DECIMAL64_Bias;
+
+ // convert 16 digits of significand to characters
+ cstart=c; // save start of coefficient
+ if (msd) *c++='0'+(char)msd; // non-zero most significant digit
+
+ // Now decode the declets. After extracting each one, it is
+ // decoded to binary and then to a 4-char sequence by table lookup;
+ // the 4-chars are a 1-char length (significant digits, except 000
+ // has length 0). This allows us to left-align the first declet
+ // with non-zero content, then remaining ones are full 3-char
+ // length. We use fixed-length memcpys because variable-length
+ // causes a subroutine call in GCC. (These are length 4 for speed
+ // and are safe because the array has an extra terminator byte.)
+ #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
+ if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
+ else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
+
+ dpd=(sourhi>>8)&0x3ff; // declet 1
+ dpd2char;
+ dpd=((sourhi&0xff)<<2) | (sourlo>>30); // declet 2
+ dpd2char;
+ dpd=(sourlo>>20)&0x3ff; // declet 3
+ dpd2char;
+ dpd=(sourlo>>10)&0x3ff; // declet 4
+ dpd2char;
+ dpd=(sourlo)&0x3ff; // declet 5
+ dpd2char;
+
+ if (c==cstart) *c++='0'; // all zeros -- make 0
+
+ if (exp==0) { // integer or NaN case -- easy
+ *c='\0'; // terminate
+ return string;
+ }
+
+ /* non-0 exponent */
+ e=0; // assume no E
+ pre=c-cstart+exp;
+ // [here, pre-exp is the digits count (==1 for zero)]
+ if (exp>0 || pre<-5) { // need exponential form
+ e=pre-1; // calculate E value
+ pre=1; // assume one digit before '.'
+ } // exponential form
+
+ /* modify the coefficient, adding 0s, '.', and E+nn as needed */
+ s=c-1; // source (LSD)
+ if (pre>0) { // ddd.ddd (plain), perhaps with E
+ char *dotat=cstart+pre;
+ if (dotat=dotat; s--, t--) *t=*s; // open the gap; leave t at gap
+ *t='.'; // insert the dot
+ c++; // length increased by one
+ }
+
+ // finally add the E-part, if needed; it will never be 0, and has
+ // a maximum length of 3 digits
+ if (e!=0) {
+ *c++='E'; // starts with E
+ *c++='+'; // assume positive
+ if (e<0) {
+ *(c-1)='-'; // oops, need '-'
+ e=-e; // uInt, please
+ }
+ u=&BIN2CHAR[e*4]; // -> length byte
+ memcpy(c, u+4-*u, 4); // copy fixed 4 characters [is safe]
+ c+=*u; // bump pointer appropriately
+ }
+ *c='\0'; // add terminator
+ //printf("res %s\n", string);
+ return string;
+ } // pre>0
+
+ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
+ t=c+1-pre;
+ *(t+1)='\0'; // can add terminator now
+ for (; s>=cstart; s--, t--) *t=*s; // shift whole coefficient right
+ c=cstart;
+ *c++='0'; // always starts with 0.
+ *c++='.';
+ for (; pre<0; pre++) *c++='0'; // add any 0's after '.'
+ //printf("res %s\n", string);
+ return string;
+ } // decimal64ToString
+
+/* ------------------------------------------------------------------ */
+/* to-number -- conversion from numeric string */
+/* */
+/* decimal64FromString(result, string, set); */
+/* */
+/* result is the decimal64 format number which gets the result of */
+/* the conversion */
+/* *string is the character string which should contain a valid */
+/* number (which may be a special value) */
+/* set is the context */
+/* */
+/* The context is supplied to this routine is used for error handling */
+/* (setting of status and traps) and for the rounding mode, only. */
+/* If an error occurs, the result will be a valid decimal64 NaN. */
+/* ------------------------------------------------------------------ */
+decimal64 * decimal64FromString(decimal64 *result, const char *string,
+ decContext *set) {
+ decContext dc; // work
+ decNumber dn; // ..
+
+ decContextDefault(&dc, DEC_INIT_DECIMAL64); // no traps, please
+ dc.round=set->round; // use supplied rounding
+
+ decNumberFromString(&dn, string, &dc); // will round if needed
+
+ decimal64FromNumber(result, &dn, &dc);
+ if (dc.status!=0) { // something happened
+ decContextSetStatus(set, dc.status); // .. pass it on
+ }
+ return result;
+ } // decimal64FromString
+
+/* ------------------------------------------------------------------ */
+/* decimal64IsCanonical -- test whether encoding is canonical */
+/* d64 is the source decimal64 */
+/* returns 1 if the encoding of d64 is canonical, 0 otherwise */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+uInt decimal64IsCanonical(const decimal64 *d64) {
+ decNumber dn; // work
+ decimal64 canon; // ..
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL64);
+ decimal64ToNumber(d64, &dn);
+ decimal64FromNumber(&canon, &dn, &dc);// canon will now be canonical
+ return memcmp(d64, &canon, DECIMAL64_Bytes)==0;
+ } // decimal64IsCanonical
+
+/* ------------------------------------------------------------------ */
+/* decimal64Canonical -- copy an encoding, ensuring it is canonical */
+/* d64 is the source decimal64 */
+/* result is the target (may be the same decimal64) */
+/* returns result */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+decimal64 * decimal64Canonical(decimal64 *result, const decimal64 *d64) {
+ decNumber dn; // work
+ decContext dc; // ..
+ decContextDefault(&dc, DEC_INIT_DECIMAL64);
+ decimal64ToNumber(d64, &dn);
+ decimal64FromNumber(result, &dn, &dc);// result will now be canonical
+ return result;
+ } // decimal64Canonical
+
+#if DECTRACE || DECCHECK
+/* Macros for accessing decimal64 fields. These assume the
+ argument is a reference (pointer) to the decimal64 structure,
+ and the decimal64 is in network byte order (big-endian) */
+// Get sign
+#define decimal64Sign(d) ((unsigned)(d)->bytes[0]>>7)
+
+// Get combination field
+#define decimal64Comb(d) (((d)->bytes[0] & 0x7c)>>2)
+
+// Get exponent continuation [does not remove bias]
+#define decimal64ExpCon(d) ((((d)->bytes[0] & 0x03)<<6) \
+ | ((unsigned)(d)->bytes[1]>>2))
+
+// Set sign [this assumes sign previously 0]
+#define decimal64SetSign(d, b) { \
+ (d)->bytes[0]|=((unsigned)(b)<<7);}
+
+// Set exponent continuation [does not apply bias]
+// This assumes range has been checked and exponent previously 0;
+// type of exponent must be unsigned
+#define decimal64SetExpCon(d, e) { \
+ (d)->bytes[0]|=(uByte)((e)>>6); \
+ (d)->bytes[1]|=(uByte)(((e)&0x3F)<<2);}
+
+/* ------------------------------------------------------------------ */
+/* decimal64Show -- display a decimal64 in hexadecimal [debug aid] */
+/* d64 -- the number to show */
+/* ------------------------------------------------------------------ */
+// Also shows sign/cob/expconfields extracted
+void decimal64Show(const decimal64 *d64) {
+ char buf[DECIMAL64_Bytes*2+1];
+ Int i, j=0;
+
+ if (DECLITEND) {
+ for (i=0; ibytes[7-i]);
+ }
+ printf(" D64> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
+ d64->bytes[7]>>7, (d64->bytes[7]>>2)&0x1f,
+ ((d64->bytes[7]&0x3)<<6)| (d64->bytes[6]>>2));
+ }
+ else { // big-endian
+ for (i=0; ibytes[i]);
+ }
+ printf(" D64> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
+ decimal64Sign(d64), decimal64Comb(d64), decimal64ExpCon(d64));
+ }
+ } // decimal64Show
+#endif
+
+/* ================================================================== */
+/* Shared utility routines and tables */
+/* ================================================================== */
+// define and include the conversion tables to use for shared code
+#if DECDPUN==3
+ #define DEC_DPD2BIN 1
+#else
+ #define DEC_DPD2BCD 1
+#endif
+#include "decDPD.h" // lookup tables
+
+// The maximum number of decNumberUnits needed for a working copy of
+// the units array is the ceiling of digits/DECDPUN, where digits is
+// the maximum number of digits in any of the formats for which this
+// is used. decimal128.h must not be included in this module, so, as
+// a very special case, that number is defined as a literal here.
+#define DECMAX754 34
+#define DECMAXUNITS ((DECMAX754+DECDPUN-1)/DECDPUN)
+
+/* ------------------------------------------------------------------ */
+/* Combination field lookup tables (uInts to save measurable work) */
+/* */
+/* COMBEXP - 2-bit most-significant-bits of exponent */
+/* [11 if an Infinity or NaN] */
+/* COMBMSD - 4-bit most-significant-digit */
+/* [0=Infinity, 1=NaN if COMBEXP=11] */
+/* */
+/* Both are indexed by the 5-bit combination field (0-31) */
+/* ------------------------------------------------------------------ */
+const uInt COMBEXP[32]={0, 0, 0, 0, 0, 0, 0, 0,
+ 1, 1, 1, 1, 1, 1, 1, 1,
+ 2, 2, 2, 2, 2, 2, 2, 2,
+ 0, 0, 1, 1, 2, 2, 3, 3};
+const uInt COMBMSD[32]={0, 1, 2, 3, 4, 5, 6, 7,
+ 0, 1, 2, 3, 4, 5, 6, 7,
+ 0, 1, 2, 3, 4, 5, 6, 7,
+ 8, 9, 8, 9, 8, 9, 0, 1};
+
+/* ------------------------------------------------------------------ */
+/* decDigitsToDPD -- pack coefficient into DPD form */
+/* */
+/* dn is the source number (assumed valid, max DECMAX754 digits) */
+/* targ is 1, 2, or 4-element uInt array, which the caller must */
+/* have cleared to zeros */
+/* shift is the number of 0 digits to add on the right (normally 0) */
+/* */
+/* The coefficient must be known small enough to fit. The full */
+/* coefficient is copied, including the leading 'odd' digit. This */
+/* digit is retrieved and packed into the combination field by the */
+/* caller. */
+/* */
+/* The target uInts are altered only as necessary to receive the */
+/* digits of the decNumber. When more than one uInt is needed, they */
+/* are filled from left to right (that is, the uInt at offset 0 will */
+/* end up with the least-significant digits). */
+/* */
+/* shift is used for 'fold-down' padding. */
+/* */
+/* No error is possible. */
+/* ------------------------------------------------------------------ */
+#if DECDPUN<=4
+// Constant multipliers for divide-by-power-of five using reciprocal
+// multiply, after removing powers of 2 by shifting, and final shift
+// of 17 [we only need up to **4]
+static const uInt multies[]={131073, 26215, 5243, 1049, 210};
+// QUOT10 -- macro to return the quotient of unit u divided by 10**n
+#define QUOT10(u, n) ((((uInt)(u)>>(n))*multies[n])>>17)
+#endif
+void decDigitsToDPD(const decNumber *dn, uInt *targ, Int shift) {
+ Int cut; // work
+ Int n; // output bunch counter
+ Int digits=dn->digits; // digit countdown
+ uInt dpd; // densely packed decimal value
+ uInt bin; // binary value 0-999
+ uInt *uout=targ; // -> current output uInt
+ uInt uoff=0; // -> current output offset [from right]
+ const Unit *inu=dn->lsu; // -> current input unit
+ Unit uar[DECMAXUNITS]; // working copy of units, iff shifted
+ #if DECDPUN!=3 // not fast path
+ Unit in; // current unit
+ #endif
+
+ if (shift!=0) { // shift towards most significant required
+ // shift the units array to the left by pad digits and copy
+ // [this code is a special case of decShiftToMost, which could
+ // be used instead if exposed and the array were copied first]
+ const Unit *source; // ..
+ Unit *target, *first; // ..
+ uInt next=0; // work
+
+ source=dn->lsu+D2U(digits)-1; // where msu comes from
+ target=uar+D2U(digits)-1+D2U(shift);// where upper part of first cut goes
+ cut=DECDPUN-MSUDIGITS(shift); // where to slice
+ if (cut==0) { // unit-boundary case
+ for (; source>=dn->lsu; source--, target--) *target=*source;
+ }
+ else {
+ first=uar+D2U(digits+shift)-1; // where msu will end up
+ for (; source>=dn->lsu; source--, target--) {
+ // split the source Unit and accumulate remainder for next
+ #if DECDPUN<=4
+ uInt quot=QUOT10(*source, cut);
+ uInt rem=*source-quot*DECPOWERS[cut];
+ next+=quot;
+ #else
+ uInt rem=*source%DECPOWERS[cut];
+ next+=*source/DECPOWERS[cut];
+ #endif
+ if (target<=first) *target=(Unit)next; // write to target iff valid
+ next=rem*DECPOWERS[DECDPUN-cut]; // save remainder for next Unit
+ }
+ } // shift-move
+ // propagate remainder to one below and clear the rest
+ for (; target>=uar; target--) {
+ *target=(Unit)next;
+ next=0;
+ }
+ digits+=shift; // add count (shift) of zeros added
+ inu=uar; // use units in working array
+ }
+
+ /* now densely pack the coefficient into DPD declets */
+
+ #if DECDPUN!=3 // not fast path
+ in=*inu; // current unit
+ cut=0; // at lowest digit
+ bin=0; // [keep compiler quiet]
+ #endif
+
+ for(n=0; digits>0; n++) { // each output bunch
+ #if DECDPUN==3 // fast path, 3-at-a-time
+ bin=*inu; // 3 digits ready for convert
+ digits-=3; // [may go negative]
+ inu++; // may need another
+
+ #else // must collect digit-by-digit
+ Unit dig; // current digit
+ Int j; // digit-in-declet count
+ for (j=0; j<3; j++) {
+ #if DECDPUN<=4
+ Unit temp=(Unit)((uInt)(in*6554)>>16);
+ dig=(Unit)(in-X10(temp));
+ in=temp;
+ #else
+ dig=in%10;
+ in=in/10;
+ #endif
+ if (j==0) bin=dig;
+ else if (j==1) bin+=X10(dig);
+ else /* j==2 */ bin+=X100(dig);
+ digits--;
+ if (digits==0) break; // [also protects *inu below]
+ cut++;
+ if (cut==DECDPUN) {inu++; in=*inu; cut=0;}
+ }
+ #endif
+ // here there are 3 digits in bin, or have used all input digits
+
+ dpd=BIN2DPD[bin];
+
+ // write declet to uInt array
+ *uout|=dpd<>(10-uoff); // collect top bits
+ } // n declets
+ return;
+ } // decDigitsToDPD
+
+/* ------------------------------------------------------------------ */
+/* decDigitsFromDPD -- unpack a format's coefficient */
+/* */
+/* dn is the target number, with 7, 16, or 34-digit space. */
+/* sour is a 1, 2, or 4-element uInt array containing only declets */
+/* declets is the number of (right-aligned) declets in sour to */
+/* be processed. This may be 1 more than the obvious number in */
+/* a format, as any top digit is prefixed to the coefficient */
+/* continuation field. It also may be as small as 1, as the */
+/* caller may pre-process leading zero declets. */
+/* */
+/* When doing the 'extra declet' case care is taken to avoid writing */
+/* extra digits when there are leading zeros, as these could overflow */
+/* the units array when DECDPUN is not 3. */
+/* */
+/* The target uInts are used only as necessary to process declets */
+/* declets into the decNumber. When more than one uInt is needed, */
+/* they are used from left to right (that is, the uInt at offset 0 */
+/* provides the least-significant digits). */
+/* */
+/* dn->digits is set, but not the sign or exponent. */
+/* No error is possible [the redundant 888 codes are allowed]. */
+/* ------------------------------------------------------------------ */
+void decDigitsFromDPD(decNumber *dn, const uInt *sour, Int declets) {
+
+ uInt dpd; // collector for 10 bits
+ Int n; // counter
+ Unit *uout=dn->lsu; // -> current output unit
+ Unit *last=uout; // will be unit containing msd
+ const uInt *uin=sour; // -> current input uInt
+ uInt uoff=0; // -> current input offset [from right]
+
+ #if DECDPUN!=3
+ uInt bcd; // BCD result
+ uInt nibble; // work
+ Unit out=0; // accumulator
+ Int cut=0; // power of ten in current unit
+ #endif
+ #if DECDPUN>4
+ uInt const *pow; // work
+ #endif
+
+ // Expand the densely-packed integer, right to left
+ for (n=declets-1; n>=0; n--) { // count down declets of 10 bits
+ dpd=*uin>>uoff;
+ uoff+=10;
+ if (uoff>32) { // crossed uInt boundary
+ uin++;
+ uoff-=32; // [if using this code for wider, check this]
+ dpd|=*uin<<(10-uoff); // get waiting bits
+ }
+ dpd&=0x3ff; // clear uninteresting bits
+
+ #if DECDPUN==3
+ if (dpd==0) *uout=0;
+ else {
+ *uout=DPD2BIN[dpd]; // convert 10 bits to binary 0-999
+ last=uout; // record most significant unit
+ }
+ uout++;
+ } // n
+
+ #else // DECDPUN!=3
+ if (dpd==0) { // fastpath [e.g., leading zeros]
+ // write out three 0 digits (nibbles); out may have digit(s)
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ if (n==0) break; // [as below, works even if MSD=0]
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ continue;
+ }
+
+ bcd=DPD2BCD[dpd]; // convert 10 bits to 12 bits BCD
+
+ // now accumulate the 3 BCD nibbles into units
+ nibble=bcd & 0x00f;
+ if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]);
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ bcd>>=4;
+
+ // if this is the last declet and the remaining nibbles in bcd
+ // are 00 then process no more nibbles, because this could be
+ // the 'odd' MSD declet and writing any more Units would then
+ // overflow the unit array
+ if (n==0 && !bcd) break;
+
+ nibble=bcd & 0x00f;
+ if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]);
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ bcd>>=4;
+
+ nibble=bcd & 0x00f;
+ if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]);
+ cut++;
+ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
+ } // n
+ if (cut!=0) { // some more left over
+ *uout=out; // write out final unit
+ if (out) last=uout; // and note if non-zero
+ }
+ #endif
+
+ // here, last points to the most significant unit with digits;
+ // inspect it to get the final digits count -- this is essentially
+ // the same code as decGetDigits in decNumber.c
+ dn->digits=(last-dn->lsu)*DECDPUN+1; // floor of digits, plus
+ // must be at least 1 digit
+ #if DECDPUN>1
+ if (*last<10) return; // common odd digit or 0
+ dn->digits++; // must be 2 at least
+ #if DECDPUN>2
+ if (*last<100) return; // 10-99
+ dn->digits++; // must be 3 at least
+ #if DECDPUN>3
+ if (*last<1000) return; // 100-999
+ dn->digits++; // must be 4 at least
+ #if DECDPUN>4
+ for (pow=&DECPOWERS[4]; *last>=*pow; pow++) dn->digits++;
+ #endif
+ #endif
+ #endif
+ #endif
+ return;
+ } //decDigitsFromDPD
diff --git a/extern/decNumber/decimal64.h b/extern/decNumber/decimal64.h
new file mode 100644
index 0000000000..d2782a34d2
--- /dev/null
+++ b/extern/decNumber/decimal64.h
@@ -0,0 +1,83 @@
+/* ------------------------------------------------------------------ */
+/* Decimal 64-bit format module header */
+/* ------------------------------------------------------------------ */
+/* Copyright (c) IBM Corporation, 2000, 2005. All rights reserved. */
+/* */
+/* This software is made available under the terms of the */
+/* ICU License -- ICU 1.8.1 and later. */
+/* */
+/* The description and User's Guide ("The decNumber C Library") for */
+/* this software is called decNumber.pdf. This document is */
+/* available, together with arithmetic and format specifications, */
+/* testcases, and Web links, on the General Decimal Arithmetic page. */
+/* */
+/* Please send comments, suggestions, and corrections to the author: */
+/* mfc@uk.ibm.com */
+/* Mike Cowlishaw, IBM Fellow */
+/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
+/* ------------------------------------------------------------------ */
+
+#if !defined(DECIMAL64)
+ #define DECIMAL64
+ #define DEC64NAME "decimal64" /* Short name */
+ #define DEC64FULLNAME "Decimal 64-bit Number" /* Verbose name */
+ #define DEC64AUTHOR "Mike Cowlishaw" /* Who to blame */
+
+
+ /* parameters for decimal64s */
+ #define DECIMAL64_Bytes 8 /* length */
+ #define DECIMAL64_Pmax 16 /* maximum precision (digits) */
+ #define DECIMAL64_Emax 384 /* maximum adjusted exponent */
+ #define DECIMAL64_Emin -383 /* minimum adjusted exponent */
+ #define DECIMAL64_Bias 398 /* bias for the exponent */
+ #define DECIMAL64_String 24 /* maximum string length, +1 */
+ #define DECIMAL64_EconL 8 /* exp. continuation length */
+ /* highest biased exponent (Elimit-1) */
+ #define DECIMAL64_Ehigh (DECIMAL64_Emax+DECIMAL64_Bias-DECIMAL64_Pmax+1)
+
+ /* check enough digits, if pre-defined */
+ #if defined(DECNUMDIGITS)
+ #if (DECNUMDIGITS=16 for safe use
+ #endif
+ #endif
+
+
+ #ifndef DECNUMDIGITS
+ #define DECNUMDIGITS DECIMAL64_Pmax /* size if not already defined*/
+ #endif
+ #ifndef DECNUMBER
+ #include "decNumber.h" /* context and number library */
+ #endif
+
+ /* Decimal 64-bit type, accessible by bytes */
+ typedef struct {
+ uint8_t bytes[DECIMAL64_Bytes]; /* decimal64: 1, 5, 8, 50 bits*/
+ } decimal64;
+
+ /* special values [top byte excluding sign bit; last two bits are */
+ /* don't-care for Infinity on input, last bit don't-care for NaN] */
+ #if !defined(DECIMAL_NaN)
+ #define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */
+ #define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */
+ #define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */
+ #endif
+
+ /* ---------------------------------------------------------------- */
+ /* Routines */
+ /* ---------------------------------------------------------------- */
+ /* String conversions */
+ decimal64 * decimal64FromString(decimal64 *, const char *, decContext *);
+ char * decimal64ToString(const decimal64 *, char *);
+ char * decimal64ToEngString(const decimal64 *, char *);
+
+ /* decNumber conversions */
+ decimal64 * decimal64FromNumber(decimal64 *, const decNumber *,
+ decContext *);
+ decNumber * decimal64ToNumber(const decimal64 *, decNumber *);
+
+ /* Format-dependent utilities */
+ uint32_t decimal64IsCanonical(const decimal64 *);
+ decimal64 * decimal64Canonical(decimal64 *, const decimal64 *);
+
+#endif
diff --git a/extern/decNumber/decnumber.pdf b/extern/decNumber/decnumber.pdf
new file mode 100644
index 0000000000..f601105beb
Binary files /dev/null and b/extern/decNumber/decnumber.pdf differ
diff --git a/extern/decNumber/msvc/decNumber_MSVC12.sln b/extern/decNumber/msvc/decNumber_MSVC12.sln
new file mode 100644
index 0000000000..e12432872c
--- /dev/null
+++ b/extern/decNumber/msvc/decNumber_MSVC12.sln
@@ -0,0 +1,28 @@
+
+Microsoft Visual Studio Solution File, Format Version 12.00
+# Visual Studio 2013
+VisualStudioVersion = 12.0.31101.0
+MinimumVisualStudioVersion = 10.0.40219.1
+Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "decNumber", "decNumber_MSVC12.vcxproj", "{BE4D2DDC-59A0-4CD7-848E-231E13785335}"
+EndProject
+Global
+ GlobalSection(SolutionConfigurationPlatforms) = preSolution
+ Debug|Win32 = Debug|Win32
+ Debug|x64 = Debug|x64
+ Release|Win32 = Release|Win32
+ Release|x64 = Release|x64
+ EndGlobalSection
+ GlobalSection(ProjectConfigurationPlatforms) = postSolution
+ {BE4D2DDC-59A0-4CD7-848E-231E13785335}.Debug|Win32.ActiveCfg = Debug|Win32
+ {BE4D2DDC-59A0-4CD7-848E-231E13785335}.Debug|Win32.Build.0 = Debug|Win32
+ {BE4D2DDC-59A0-4CD7-848E-231E13785335}.Debug|x64.ActiveCfg = Debug|x64
+ {BE4D2DDC-59A0-4CD7-848E-231E13785335}.Debug|x64.Build.0 = Debug|x64
+ {BE4D2DDC-59A0-4CD7-848E-231E13785335}.Release|Win32.ActiveCfg = Release|Win32
+ {BE4D2DDC-59A0-4CD7-848E-231E13785335}.Release|Win32.Build.0 = Release|Win32
+ {BE4D2DDC-59A0-4CD7-848E-231E13785335}.Release|x64.ActiveCfg = Release|x64
+ {BE4D2DDC-59A0-4CD7-848E-231E13785335}.Release|x64.Build.0 = Release|x64
+ EndGlobalSection
+ GlobalSection(SolutionProperties) = preSolution
+ HideSolutionNode = FALSE
+ EndGlobalSection
+EndGlobal
diff --git a/extern/decNumber/msvc/decNumber_MSVC12.vcxproj b/extern/decNumber/msvc/decNumber_MSVC12.vcxproj
new file mode 100644
index 0000000000..b562e03f55
--- /dev/null
+++ b/extern/decNumber/msvc/decNumber_MSVC12.vcxproj
@@ -0,0 +1,267 @@
+
+
+
+
+ Debug
+ Win32
+
+
+ Debug
+ x64
+
+
+ Release
+ Win32
+
+
+ Release
+ x64
+
+
+
+
+ true
+ true
+ true
+ true
+
+
+ true
+ true
+ true
+ true
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ decNumber
+ {BE4D2DDC-59A0-4CD7-848E-231E13785335}
+ decNumber
+
+
+
+ StaticLibrary
+ false
+ MultiByte
+ v120_xp
+
+
+ StaticLibrary
+ false
+ MultiByte
+ v120
+
+
+ StaticLibrary
+ false
+ MultiByte
+ v120_xp
+
+
+ StaticLibrary
+ false
+ MultiByte
+ v120
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ <_ProjectFileVersion>10.0.40219.1
+ ..\lib\$(Platform)\$(Configuration)\
+ ..\lib\$(Platform)\$(Configuration)\
+ ..\temp\$(Platform)\$(Configuration)\
+ ..\temp\$(Platform)\$(Configuration)\
+ ..\lib\$(Platform)\$(Configuration)\
+ ..\lib\$(Platform)\$(Configuration)\
+ ..\temp\$(Platform)\$(Configuration)\
+ ..\temp\$(Platform)\$(Configuration)\
+ AllRules.ruleset
+ AllRules.ruleset
+
+
+
+
+ AllRules.ruleset
+ AllRules.ruleset
+
+
+
+
+ decnumber
+ decnumber
+ decnumber
+ decnumber
+
+
+
+ Disabled
+ .;%(AdditionalIncludeDirectories)
+ _CRT_SECURE_NO_WARNINGS;WIN32;_DEBUG;_LIB;%(PreprocessorDefinitions)
+ true
+ EnableFastChecks
+ MultiThreadedDebugDLL
+
+
+ $(IntDir)
+ $(IntDir)
+ $(IntDir)
+ Level3
+ true
+ EditAndContinue
+
+
+
+
+ _DEBUG;%(PreprocessorDefinitions)
+ 0x0409
+
+
+ $(OutDir)\$(TargetFileName)
+ true
+
+
+ true
+ .\Debug/libtommath.bsc
+
+
+
+
+ Disabled
+ .;%(AdditionalIncludeDirectories)
+ _CRT_SECURE_NO_WARNINGS;WIN32;_DEBUG;_LIB;%(PreprocessorDefinitions)
+ EnableFastChecks
+ MultiThreadedDebugDLL
+
+
+ $(IntDir)
+ $(IntDir)
+ $(IntDir)
+ Level3
+ true
+ ProgramDatabase
+
+
+
+
+ _DEBUG;%(PreprocessorDefinitions)
+ 0x0409
+
+
+ $(OutDir)\$(TargetFileName)
+ true
+
+
+ true
+ .\Debug/libtommath.bsc
+
+
+
+
+ MaxSpeed
+ OnlyExplicitInline
+ .;%(AdditionalIncludeDirectories)
+ _CRT_SECURE_NO_WARNINGS;WIN32;NDEBUG;_LIB;%(PreprocessorDefinitions)
+ true
+ MultiThreadedDLL
+ true
+
+
+ $(IntDir)
+ $(IntDir)
+ $(IntDir)
+ Level3
+ true
+
+
+
+
+ NDEBUG;%(PreprocessorDefinitions)
+ 0x0409
+
+
+ $(OutDir)\$(TargetFileName)
+ true
+
+
+ true
+ .\Release/libtommath.bsc
+
+
+
+
+ MaxSpeed
+ OnlyExplicitInline
+ .;%(AdditionalIncludeDirectories)
+ _CRT_SECURE_NO_WARNINGS;WIN32;NDEBUG;_LIB;%(PreprocessorDefinitions)
+ true
+ MultiThreadedDLL
+ true
+
+
+ $(IntDir)
+ $(IntDir)
+ $(IntDir)
+ Level3
+ true
+
+
+
+
+ NDEBUG;%(PreprocessorDefinitions)
+ 0x0409
+
+
+ $(OutDir)\$(TargetFileName)
+ true
+
+
+ true
+ .\Release/libtommath.bsc
+
+
+
+
+
+
\ No newline at end of file
diff --git a/extern/decNumber/msvc/decNumber_MSVC12.vcxproj.filters b/extern/decNumber/msvc/decNumber_MSVC12.vcxproj.filters
new file mode 100644
index 0000000000..595d745792
--- /dev/null
+++ b/extern/decNumber/msvc/decNumber_MSVC12.vcxproj.filters
@@ -0,0 +1,84 @@
+
+
+
+
+ Source files
+
+
+ Source files
+
+
+ Source files
+
+
+ Source files
+
+
+ Source files
+
+
+ Source files
+
+
+ Source files
+
+
+ Source files
+
+
+ Source files
+
+
+ Source files
+
+
+ Source files
+
+
+
+
+ Header files
+
+
+ Header files
+
+
+ Header files
+
+
+ Header files
+
+
+ Header files
+
+
+ Header files
+
+
+ Header files
+
+
+ Header files
+
+
+ Header files
+
+
+ Header files
+
+
+ Header files
+
+
+
+
+
+
+
+ {638ba91b-1def-4094-a692-752b2ce6f461}
+
+
+ {ffbb5d93-e379-40ba-ab58-c62e9e20c810}
+
+
+
\ No newline at end of file
diff --git a/extern/decNumber/readme.txt b/extern/decNumber/readme.txt
new file mode 100644
index 0000000000..1ebc7f397b
--- /dev/null
+++ b/extern/decNumber/readme.txt
@@ -0,0 +1,81 @@
+This is the readme.txt for the decNumber package. It includes
+instructions for compiling and testing the package; please read them.
+---------------------------------------------------------------------
+
+decNumber is distributed in two forms; as a complete package from
+the International Components for Unicode (ICU) site (under an as-is
+license), or as a collection of Open Source files from the GCC source
+repository (under the GPL license).
+
+If you are using the GCC files, you can obtain the documentation, the
+example files mentioned below, and this readme from the General
+Decimal Arithmetic web page -- http://speleotrove.com/decimal/ (the
+URL for the open source files is also linked from there).
+
+
+The ICU package
+---------------
+
+The ICU package includes the files:
+
+ * readme.txt (this file)
+
+ * ICU-license.html
+
+ * decNumber.pdf (documentation)
+
+ * The .c and .h file for each module in the package (see the
+ decNumber documentation), together with other included files.
+
+ * The .c files for each of the examples (example1.c through
+ example8.c).
+
+The ICU package is made available under the terms of the ICU License
+(ICU 1.8.1 and later) included in the package as ICU-license.html.
+Your use of that package indicates your acceptance of the terms and
+conditions of that Agreement.
+
+
+To use and check decNumber
+--------------------------
+
+ Please read the appropriate license and documentation before using
+ this package. If you are upgrading an existing use of decNumber
+ (with version <= 3.37) please read the Changes Appendix for later
+ versions -- you may need to change the DECLITEND flag.
+
+ 1. Compile and link example1.c, decNumber.c, and decContext.c
+ For instance, use:
+
+ gcc -o example1 example1.c decNumber.c decContext.c
+
+ Note: If your compiler does not provide stdint.h or if your C
+ compiler does not handle line comments (// ...), then see the
+ User's Guide section in the documentation for further information
+ (including a sample minimal stdint.h).
+
+ The use of compiler optimization is strongly recommended (e.g.,
+ -O3 for GCC or /O2 for Visual Studio).
+
+ 2. Run example1 with two numeric arguments, for example:
+
+ example1 1.23 1.27
+
+ this should display:
+
+ 1.23 + 1.27 => 2.50
+
+ 3. Similarly, try the other examples, at will.
+
+ Examples 2->4 require three files to be compiled, like Example 1.
+
+ Example 5 requires decimal64.c in addition to the core modules.
+
+ Example 6 requires decPacked.c in addition to the core modules.
+
+ Example 7 requires only example7.c decContext.c and decQuad.c
+
+ Example 8 requires example8.c, decContext.c, and decQuad.c, plus
+ decNumber.c, decimal128.c, and decimal64.c (the latter
+ for shared tables and code)
+
diff --git a/lang_helpers/gds_codes.ftn b/lang_helpers/gds_codes.ftn
index ca039252b0..e570469fa0 100644
--- a/lang_helpers/gds_codes.ftn
+++ b/lang_helpers/gds_codes.ftn
@@ -1686,6 +1686,18 @@ C --
PARAMETER (GDS__overriding_user_invalid = 335545136)
INTEGER*4 GDS__overriding_system_missing
PARAMETER (GDS__overriding_system_missing = 335545137)
+ INTEGER*4 GDS__decprecision_err
+ PARAMETER (GDS__decprecision_err = 335545138)
+ INTEGER*4 GDS__decfloat_divide_by_zero
+ PARAMETER (GDS__decfloat_divide_by_zero = 335545139)
+ INTEGER*4 GDS__decfloat_inexact_result
+ PARAMETER (GDS__decfloat_inexact_result = 335545140)
+ INTEGER*4 GDS__decfloat_invalid_operation
+ PARAMETER (GDS__decfloat_invalid_operation = 335545141)
+ INTEGER*4 GDS__decfloat_overflow
+ PARAMETER (GDS__decfloat_overflow = 335545142)
+ INTEGER*4 GDS__decfloat_underflow
+ PARAMETER (GDS__decfloat_underflow = 335545143)
INTEGER*4 GDS__gfix_db_name
PARAMETER (GDS__gfix_db_name = 335740929)
INTEGER*4 GDS__gfix_invalid_sw
diff --git a/lang_helpers/gds_codes.pas b/lang_helpers/gds_codes.pas
index 24ffb26fc9..b2a8f54aca 100644
--- a/lang_helpers/gds_codes.pas
+++ b/lang_helpers/gds_codes.pas
@@ -1681,6 +1681,18 @@ const
gds_overriding_user_invalid = 335545136;
isc_overriding_system_missing = 335545137;
gds_overriding_system_missing = 335545137;
+ isc_decprecision_err = 335545138;
+ gds_decprecision_err = 335545138;
+ isc_decfloat_divide_by_zero = 335545139;
+ gds_decfloat_divide_by_zero = 335545139;
+ isc_decfloat_inexact_result = 335545140;
+ gds_decfloat_inexact_result = 335545140;
+ isc_decfloat_invalid_operation = 335545141;
+ gds_decfloat_invalid_operation = 335545141;
+ isc_decfloat_overflow = 335545142;
+ gds_decfloat_overflow = 335545142;
+ isc_decfloat_underflow = 335545143;
+ gds_decfloat_underflow = 335545143;
isc_gfix_db_name = 335740929;
gds_gfix_db_name = 335740929;
isc_gfix_invalid_sw = 335740930;
diff --git a/src/auth/SecureRemotePassword/manage/SrpManagement.cpp b/src/auth/SecureRemotePassword/manage/SrpManagement.cpp
index 5b68c6f5dc..b0b01da4fa 100644
--- a/src/auth/SecureRemotePassword/manage/SrpManagement.cpp
+++ b/src/auth/SecureRemotePassword/manage/SrpManagement.cpp
@@ -233,6 +233,7 @@ public:
Firebird::ClumpletWriter dpb(Firebird::ClumpletReader::dpbList, MAX_DPB_SIZE);
dpb.insertByte(isc_dpb_sec_attach, TRUE);
+ dpb.insertString(isc_dpb_config, EMBEDDED_PROVIDERS, fb_strlen(EMBEDDED_PROVIDERS));
unsigned int authBlockSize;
const unsigned char* authBlock = logonInfo->authBlock(&authBlockSize);
diff --git a/src/auth/SecureRemotePassword/server/SrpServer.cpp b/src/auth/SecureRemotePassword/server/SrpServer.cpp
index 34916a3f4a..7a2f53a712 100644
--- a/src/auth/SecureRemotePassword/server/SrpServer.cpp
+++ b/src/auth/SecureRemotePassword/server/SrpServer.cpp
@@ -141,8 +141,7 @@ int SrpServer::authenticate(CheckStatusWrapper* status, IServerBlock* sb, IWrite
ClumpletWriter dpb(ClumpletReader::dpbList, MAX_DPB_SIZE);
dpb.insertByte(isc_dpb_sec_attach, TRUE);
dpb.insertString(isc_dpb_user_name, DBA_USER_NAME, fb_strlen(DBA_USER_NAME));
- const char* providers = "Providers=" CURRENT_ENGINE;
- dpb.insertString(isc_dpb_config, providers, fb_strlen(providers));
+ dpb.insertString(isc_dpb_config, EMBEDDED_PROVIDERS, fb_strlen(EMBEDDED_PROVIDERS));
att = p->attachDatabase(status, secDbName, dpb.getBufferLength(), dpb.getBuffer());
check(status);
HANDSHAKE_DEBUG(fprintf(stderr, "Srv SRP: attached sec db %s\n", secDbName));
diff --git a/src/auth/SecurityDatabase/LegacyManagement.epp b/src/auth/SecurityDatabase/LegacyManagement.epp
index 01ea19b9c5..c9c4b0a9d7 100644
--- a/src/auth/SecurityDatabase/LegacyManagement.epp
+++ b/src/auth/SecurityDatabase/LegacyManagement.epp
@@ -131,6 +131,7 @@ void SecurityDatabaseManagement::start(Firebird::CheckStatusWrapper* st, Firebir
Firebird::ClumpletWriter dpb(Firebird::ClumpletReader::dpbList, MAX_DPB_SIZE);
dpb.insertByte(isc_dpb_sec_attach, TRUE);
+ dpb.insertString(isc_dpb_config, EMBEDDED_PROVIDERS, fb_strlen(EMBEDDED_PROVIDERS));
unsigned int authBlockSize;
const unsigned char* authBlock = logonInfo->authBlock(&authBlockSize);
@@ -226,6 +227,15 @@ int SecurityDatabaseManagement::release()
}
#define STR_STORE(to, from) fb_utils::copy_terminate(to, from, sizeof(to))
+#define STR_VSTORE(to, from) string2vary(&to, from, sizeof(to))
+static void string2vary(void* to, Firebird::string& from, size_t to_size)
+{
+ size_t len = MIN(to_size - sizeof(USHORT), from.size());
+ paramvary* v = reinterpret_cast(to);
+ v->vary_length = len;
+ memcpy(v->vary_string, from.c_str(), len);
+}
+
int SecurityDatabaseManagement::execute(Firebird::CheckStatusWrapper* st, Firebird::IUser* user,
Firebird::IListUsers* callback)
@@ -370,7 +380,7 @@ int SecurityDatabaseManagement::execute(Firebird::CheckStatusWrapper* st, Firebi
{
ENC_crypt(encrypted1, sizeof encrypted1, user->password()->get(), LEGACY_PASSWORD_SALT);
LegacyHash::hash(encrypted2, user->userName()->get(), &encrypted1[2]);
- STR_STORE(U.PLG$PASSWD, encrypted2.c_str());
+ STR_VSTORE(U.PLG$PASSWD, encrypted2);
U.PLG$PASSWD.NULL = ISC_FALSE;
}
else
@@ -455,7 +465,7 @@ int SecurityDatabaseManagement::execute(Firebird::CheckStatusWrapper* st, Firebi
{
ENC_crypt(encrypted1, sizeof encrypted1, user->password()->get(), LEGACY_PASSWORD_SALT);
LegacyHash::hash(encrypted2, user->userName()->get(), &encrypted1[2]);
- STR_STORE(U.PLG$PASSWD, encrypted2.c_str());
+ STR_VSTORE(U.PLG$PASSWD, encrypted2);
U.PLG$PASSWD.NULL = ISC_FALSE;
}
else if (user->password()->specified())
diff --git a/src/auth/SecurityDatabase/LegacyServer.cpp b/src/auth/SecurityDatabase/LegacyServer.cpp
index 1c996f1f92..3f513691ca 100644
--- a/src/auth/SecurityDatabase/LegacyServer.cpp
+++ b/src/auth/SecurityDatabase/LegacyServer.cpp
@@ -293,8 +293,7 @@ void SecurityDatabase::prepare()
dpb.insertString(isc_dpb_trusted_auth, DBA_USER_NAME, fb_strlen(DBA_USER_NAME));
// Do not use other providers except current engine
- const char* providers = "Providers=" CURRENT_ENGINE;
- dpb.insertString(isc_dpb_config, providers, fb_strlen(providers));
+ dpb.insertString(isc_dpb_config, EMBEDDED_PROVIDERS, fb_strlen(EMBEDDED_PROVIDERS));
isc_db_handle tempHandle = 0;
isc_attach_database(status, 0, secureDbName, &tempHandle,
diff --git a/src/burp/backup.epp b/src/burp/backup.epp
index cbaa53ad29..7c1df91c46 100644
--- a/src/burp/backup.epp
+++ b/src/burp/backup.epp
@@ -1618,13 +1618,21 @@ void put_data(burp_rel* relation)
add_byte(blr, field->fld_type);
break;
+ case blr_dec64:
+ case blr_dec128:
+ alignment = type_alignments[dtype];
+ add_byte(blr, field->fld_type);
+ break;
+
default:
BURP_error_redirect(NULL, 26, SafeArg() << field->fld_type);
// msg 26 datatype %ld not understood
break;
}
+
if (alignment)
offset = FB_ALIGN(offset, alignment);
+
field->fld_offset = offset;
field->fld_parameter = count++;
offset += length;
diff --git a/src/burp/canonical.cpp b/src/burp/canonical.cpp
index 634a9bdf1b..5e92e85825 100644
--- a/src/burp/canonical.cpp
+++ b/src/burp/canonical.cpp
@@ -136,24 +136,34 @@ ULONG CAN_encode_decode(burp_rel* relation, lstring* buffer, UCHAR* data, bool_t
break;
case dtype_short:
- if (!xdr_short(xdrs, (SSHORT *) p))
+ if (!xdr_short(xdrs, (SSHORT*) p))
return FALSE;
break;
case dtype_long:
case dtype_sql_time:
case dtype_sql_date:
- if (!xdr_long(xdrs, (SLONG *) p))
+ if (!xdr_long(xdrs, (SLONG*) p))
return FALSE;
break;
case dtype_real:
- if (!xdr_float(xdrs, (float *) p))
+ if (!xdr_float(xdrs, (float*) p))
return FALSE;
break;
case dtype_double:
- if (!xdr_double(xdrs, (double *) p))
+ if (!xdr_double(xdrs, (double*) p))
+ return FALSE;
+ break;
+
+ case dtype_dec64:
+ if (!xdr_dec64(xdrs, (Firebird::Decimal64*) p))
+ return FALSE;
+ break;
+
+ case dtype_dec128:
+ if (!xdr_dec128(xdrs, (Firebird::Decimal128*) p))
return FALSE;
break;
diff --git a/src/burp/restore.epp b/src/burp/restore.epp
index 77ce97cb05..0ec78f67f3 100644
--- a/src/burp/restore.epp
+++ b/src/burp/restore.epp
@@ -2805,6 +2805,8 @@ rec_type get_data(BurpGlobals* tdgbl, burp_rel* relation, bool skip_relation)
case blr_timestamp:
case blr_sql_time:
case blr_sql_date:
+ case blr_dec64:
+ case blr_dec128:
add_byte(blr, field->fld_type);
break;
@@ -7327,8 +7329,8 @@ bool get_relation(BurpGlobals* tdgbl)
*
*
**************************************/
- SLONG rel_flags = 0, sys_flag = 0, type = 0;
- bool rel_flags_null = true, type_null = true;
+ SLONG rel_flags = 0, sys_flag = fb_sysflag_user, type = rel_persistent;
+ bool rel_flags_null = true;
ISC_QUAD view_blr = isc_blob_null, view_src = isc_blob_null,
rel_desc = isc_blob_null, ext_desc = isc_blob_null;
bool view_blr_null = true, view_src_null = true, rel_desc_null = true,
@@ -7344,6 +7346,24 @@ bool get_relation(BurpGlobals* tdgbl)
ext_file_name[0] = '\0';
bool ext_file_name_null = true;
+ // Before starting to restore relations, commit everything that was restored
+ // prior to this point. This ensures that no pending error can later affect
+ // other metadata being restored.
+
+ if (!tdgbl->relations)
+ {
+ BURP_verbose (68);
+ // msg 68 committing meta data
+ COMMIT
+ ON_ERROR
+ general_on_error ();
+ END_ERROR;
+
+ EXEC SQL SET TRANSACTION NO_AUTO_UNDO;
+ if (gds_status[1])
+ EXEC SQL SET TRANSACTION;
+ }
+
// Pick up relation attributes
burp_rel* relation = (burp_rel*) BURP_alloc_zero (sizeof(burp_rel));
@@ -7446,10 +7466,7 @@ bool get_relation(BurpGlobals* tdgbl)
case att_relation_type:
if (tdgbl->RESTORE_format >= 8)
- {
- type_null = false;
type = get_int32(tdgbl);
- }
else
bad_attribute(scan_next_attr, attribute, 111);
break;
@@ -7488,7 +7505,7 @@ bool get_relation(BurpGlobals* tdgbl)
X.RDB$RUNTIME.NULL = TRUE;
X.RDB$EXTERNAL_DESCRIPTION.NULL = ext_desc_null;
X.RDB$EXTERNAL_FILE.NULL = ext_file_name_null;
- X.RDB$RELATION_TYPE.NULL = type_null;
+ X.RDB$RELATION_TYPE.NULL = FALSE;
X.RDB$SQL_SECURITY.NULL = sql_security_null;
X.RDB$SYSTEM_FLAG = (USHORT) sys_flag;
diff --git a/src/common/CharSet.h b/src/common/CharSet.h
index dd6aad6e65..8e61b73aff 100644
--- a/src/common/CharSet.h
+++ b/src/common/CharSet.h
@@ -31,6 +31,7 @@
#define JRD_CHARSET_H
#include "CsConvert.h"
+#include "IntlUtil.h"
namespace Jrd {
@@ -42,8 +43,7 @@ public:
public:
static void clear(charset* cs)
{
- if (cs->charset_fn_destroy)
- cs->charset_fn_destroy(cs);
+ Firebird::IntlUtil::finiCharset(cs);
delete cs;
}
};
@@ -116,8 +116,7 @@ public:
void destroy()
{
- if (cs->charset_fn_destroy)
- cs->charset_fn_destroy(cs);
+ Firebird::IntlUtil::finiCharset(cs);
}
const UCHAR* getSqlMatchAny() const { return sqlMatchAny; }
diff --git a/src/common/DecFloat.cpp b/src/common/DecFloat.cpp
new file mode 100644
index 0000000000..6960bf636b
--- /dev/null
+++ b/src/common/DecFloat.cpp
@@ -0,0 +1,986 @@
+/*
+ * PROGRAM: Decimal 64 & 128 type.
+ * MODULE: DecFloat.cpp
+ * DESCRIPTION: Floating point with decimal exponent.
+ *
+ * The contents of this file are subject to the Initial
+ * Developer's Public License Version 1.0 (the "License");
+ * you may not use this file except in compliance with the
+ * License. You may obtain a copy of the License at
+ * http://www.ibphoenix.com/main.nfs?a=ibphoenix&page=ibp_idpl.
+ *
+ * Software distributed under the License is distributed AS IS,
+ * WITHOUT WARRANTY OF ANY KIND, either express or implied.
+ * See the License for the specific language governing rights
+ * and limitations under the License.
+ *
+ * The Original Code was created by Alex Peshkov
+ * for the Firebird Open Source RDBMS project.
+ *
+ * Copyright (c) 2016 Alex Peshkov
+ * and all contributors signed below.
+ *
+ * All Rights Reserved.
+ * Contributor(s): ______________________________________.
+ *
+ *
+ */
+
+#include "firebird.h"
+#include "DecFloat.h"
+
+#include "StatusArg.h"
+#include "gen/iberror.h"
+
+extern "C"
+{
+#include "../../extern/decNumber/decimal128.h"
+#include "../../extern/decNumber/decimal64.h"
+#include "../../extern/decNumber/decNumber.h"
+}
+
+#include
+#include
+#include
+
+using namespace Firebird;
+
+namespace {
+
+struct Dec2fb
+{
+ USHORT decError;
+ ISC_STATUS fbError;
+};
+
+Dec2fb dec2fb[] = {
+ { DEC_IEEE_754_Division_by_zero, isc_decfloat_divide_by_zero },
+ { DEC_IEEE_754_Inexact, isc_decfloat_inexact_result },
+ { DEC_IEEE_754_Invalid_operation, isc_decfloat_invalid_operation },
+ { DEC_IEEE_754_Overflow, isc_decfloat_overflow },
+ { DEC_IEEE_754_Underflow, isc_decfloat_underflow },
+ { 0, 0 }
+};
+
+class DecimalContext : public decContext
+{
+public:
+ DecimalContext(const Decimal64*, DecimalStatus ds)
+ : decSt(ds)
+ {
+ init(DEC_INIT_DECIMAL64);
+ }
+
+ DecimalContext(const Decimal128*, DecimalStatus ds)
+ : decSt(ds)
+ {
+ init(DEC_INIT_DECIMAL128);
+ }
+
+ ~DecimalContext() NOEXCEPT_ARG(false)
+ {
+ // Typically exceptions should better be not thrown from destructors.
+ // But in our case there should never be any exception raised inside
+ // Decimal64/128 functions - C library never throw, i.e. dtor will
+ // be never called due to exception processing.
+ // Therefore checking status in destructor is safe.
+ checkForExceptions();
+ }
+
+ void checkForExceptions()
+ {
+ USHORT unmaskedExceptions = decSt.decExtFlag & decContextGetStatus(this);
+ if (!unmaskedExceptions)
+ return;
+
+ decContextZeroStatus(this);
+
+ for (Dec2fb* e = dec2fb; e->decError; ++e)
+ {
+ // Arg::Gds(isc_arith_except) as first vector element ?
+ if (e->decError & unmaskedExceptions)
+ Arg::Gds(e->fbError).raise();
+ }
+ }
+
+private:
+ DecimalStatus decSt;
+
+ void init(int kind)
+ {
+ decContextDefault(this, kind);
+ fb_assert(decSt.roundingMode < USHORT(DEC_ROUND_MAX));
+ enum rounding rMode = rounding(decSt.roundingMode);
+ decContextSetRounding(this, rMode);
+ traps = 0; // do not raise SIGFPE
+ }
+};
+
+CDecimal128 dmax(DBL_MAX, DecimalStatus(0)), dmin(-DBL_MAX, DecimalStatus(0));
+CDecimal128 i64max(MAX_SINT64, DecimalStatus(0)), i64min(MIN_SINT64, DecimalStatus(0));
+
+unsigned digits(const unsigned pMax, unsigned char* const coeff, int& exp)
+{
+ for (unsigned i = 0; i < pMax; ++i)
+ {
+ if (coeff[i])
+ {
+ if (i)
+ {
+ memmove(coeff, &coeff[i], pMax - i);
+ memset(&coeff[pMax - i], 0, i);
+ exp -= i;
+ }
+
+ i = pMax - i;
+
+ while (!coeff[i - 1])
+ {
+ fb_assert(i > 0);
+ --i;
+ }
+
+ return i;
+ }
+ }
+
+ return 0;
+}
+
+void make(ULONG* key,
+ const unsigned pMax, const int bias, const unsigned decSize,
+ unsigned char* coeff, int sign, int exp)
+{
+ // normalize coeff & exponent
+ unsigned dig = digits(pMax, coeff, exp);
+
+ // exponent bias and sign
+ if (!dig)
+ {
+ exp = 0;
+ sign = 0;
+ }
+ else
+ {
+ exp += (bias + 2);
+ if (sign)
+ exp = -exp;
+ }
+
+ *key++ = exp;
+
+ // convert to SLONG
+ fb_assert(pMax / 9 < decSize / sizeof(int));
+ memset(key, 0, decSize);
+
+ for (unsigned i = 0; i < pMax; ++i)
+ {
+ unsigned c = i / 9;
+ key[c] *= 10;
+ key[c] += (sign ? 9 - coeff[i] : coeff[i]);
+ }
+}
+
+void grab(ULONG* key,
+ const unsigned pMax, const int bias, const unsigned decSize,
+ unsigned char* bcd, int& sign, int& exp)
+{
+ exp = *key++;
+ sign = 0;
+
+ // parse exp
+ if (exp < 0)
+ {
+ sign = DECFLOAT_Sign;
+ exp = -exp;
+ }
+
+ if (exp != 0)
+ exp -= (bias + 2);
+
+ // convert from SLONG
+ for (int i = pMax; i--;)
+ {
+ int c = i / 9;
+ bcd[i] = key[c] % 10;
+ key[c] /= 10;
+
+ if (sign)
+ bcd[i] = 9 - bcd[i];
+ }
+
+ // normalize
+ for (unsigned i = pMax; i--; )
+ {
+ if (bcd[i])
+ {
+ if (i < pMax - 1)
+ {
+ memmove(&bcd[pMax - 1 - i], bcd, i + 1);
+ memset(bcd, 0, pMax - 1 - i);
+ exp += (pMax - 1 - i);
+ }
+
+ break;
+ }
+ }
+}
+
+} // anonymous namespace
+
+
+
+namespace Firebird {
+
+void Decimal64::setScale(DecimalStatus decSt, int scale)
+{
+ if (scale)
+ {
+ DecimalContext context(this, decSt);
+ scale += decDoubleGetExponent(&dec);
+ decDoubleSetExponent(&dec, &context, scale);
+ }
+}
+
+#if SIZEOF_LONG < 8
+Decimal64 Decimal64::set(int value, DecimalStatus decSt, int scale)
+{
+ return set(SLONG(value), decSt, scale);
+}
+#endif
+
+Decimal64 Decimal64::set(SLONG value, DecimalStatus decSt, int scale)
+{
+ decDoubleFromInt32(&dec, value);
+ setScale(decSt, -scale);
+
+ return *this;
+}
+
+Decimal64 Decimal64::set(SINT64 value, DecimalStatus decSt, int scale)
+{
+ {
+ char s[30]; // for sure enough for int64
+ sprintf(s, "%" SQUADFORMAT, value);
+ DecimalContext context(this, decSt);
+ decDoubleFromString(&dec, s, &context);
+ }
+
+ setScale(decSt, -scale);
+
+ return *this;
+}
+
+Decimal64 Decimal64::set(const char* value, DecimalStatus decSt)
+{
+ DecimalContext context(this, decSt);
+ decDoubleFromString(&dec, value, &context);
+
+ return *this;
+}
+
+Decimal64 Decimal64::set(double value, DecimalStatus decSt)
+{
+ char s[50];
+ sprintf(s, "%.016e", value);
+ DecimalContext context(this, decSt);
+ decDoubleFromString(&dec, s, &context);
+
+ return *this;
+}
+
+void Decimal64::toString(DecimalStatus decSt, unsigned length, char* to) const
+{
+ DecimalContext context(this, decSt);
+
+ if (length)
+ {
+ --length;
+ char s[IDecFloat16::STRING_SIZE];
+ memset(s, 0, sizeof(s));
+ decDoubleToString(&dec, s);
+
+ if (strlen(s) > length)
+ decContextSetStatus(&context, DEC_Invalid_operation);
+ else
+ length = strlen(s);
+
+ memcpy(to, s, length + 1);
+ }
+ else
+ decContextSetStatus(&context, DEC_Invalid_operation);
+}
+
+void Decimal64::toString(string& to) const
+{
+ to.grow(IDecFloat16::STRING_SIZE);
+ toString(DecimalStatus(0), to.length(), to.begin()); // provide long enough string, i.e. no traps
+ to.recalculate_length();
+}
+
+UCHAR* Decimal64::getBytes()
+{
+ return dec.bytes;
+}
+
+Decimal64 Decimal64::abs() const
+{
+ Decimal64 rc;
+ decDoubleCopyAbs(&rc.dec, &dec);
+ return rc;
+}
+
+Decimal64 Decimal64::ceil(DecimalStatus decSt) const
+{
+ DecimalContext context(this, decSt);
+ Decimal64 rc;
+ decDoubleToIntegralValue(&rc.dec, &dec, &context, DEC_ROUND_CEILING);
+ return rc;
+}
+
+Decimal64 Decimal64::floor(DecimalStatus decSt) const
+{
+ DecimalContext context(this, decSt);
+ Decimal64 rc;
+ decDoubleToIntegralValue(&rc.dec, &dec, &context, DEC_ROUND_FLOOR);
+ return rc;
+}
+
+int Decimal64::compare(DecimalStatus decSt, Decimal64 tgt) const
+{
+ DecimalContext context(this, decSt);
+ decDouble r;
+ decDoubleCompare(&r, &dec, &tgt.dec, &context);
+ return decDoubleToInt32(&r, &context, DEC_ROUND_HALF_UP);
+}
+
+bool Decimal64::isInf() const
+{
+ switch (decDoubleClass(&dec))
+ {
+ case DEC_CLASS_NEG_INF:
+ case DEC_CLASS_POS_INF:
+ return true;
+ }
+
+ return false;
+}
+
+bool Decimal64::isNan() const
+{
+ switch (decDoubleClass(&dec))
+ {
+ case DEC_CLASS_SNAN:
+ case DEC_CLASS_QNAN:
+ return true;
+ }
+
+ return false;
+}
+
+int Decimal64::sign() const
+{
+ if (decDoubleIsZero(&dec))
+ return 0;
+ if (decDoubleIsSigned(&dec))
+ return -1;
+ return 1;
+}
+
+#ifdef DEV_BUILD
+int Decimal64::show()
+{
+ decDoubleShow(&dec, "");
+ return 0;
+}
+#endif
+
+Decimal64 Decimal64::neg() const
+{
+ Decimal64 rc;
+ decDoubleCopyNegate(&rc.dec, &dec);
+ return rc;
+}
+
+void Decimal64::makeKey(ULONG* key) const
+{
+ unsigned char coeff[DECDOUBLE_Pmax];
+ int sign = decDoubleGetCoefficient(&dec, coeff);
+ int exp = decDoubleGetExponent(&dec);
+
+ make(key, DECDOUBLE_Pmax, DECDOUBLE_Bias, sizeof(dec), coeff, sign, exp);
+}
+
+void Decimal64::grabKey(ULONG* key)
+{
+ int exp, sign;
+ unsigned char bcd[DECDOUBLE_Pmax];
+
+ grab(key, DECDOUBLE_Pmax, DECDOUBLE_Bias, sizeof(dec), bcd, sign, exp);
+
+ decDoubleFromBCD(&dec, exp, bcd, sign);
+}
+
+Decimal64 Decimal64::quantize(DecimalStatus decSt, Decimal64 op2) const
+{
+ DecimalContext context(this, decSt);
+ Decimal64 rc;
+ decDoubleQuantize(&rc.dec, &dec, &op2.dec, &context);
+ return rc;
+}
+
+Decimal64 Decimal64::normalize(DecimalStatus decSt) const
+{
+ DecimalContext context(this, decSt);
+ Decimal64 rc;
+ decDoubleReduce(&rc.dec, &dec, &context);
+ return rc;
+}
+
+short Decimal64::totalOrder(Decimal64 op2) const
+{
+ decDouble r;
+ decDoubleCompareTotal(&r, &dec, &op2.dec);
+ fb_assert(!decDoubleIsNaN(&r));
+
+ DecimalContext context2(this, 0);
+ return decDoubleToInt32(&r, &context2, DEC_ROUND_HALF_UP);
+}
+
+/*
+ * decCompare() implements SQL function COMPARE_DECFLOAT() which has non-traditional return values.
+ * COMPARE_DECFLOAT (X, Y)
+ * 0 - X == Y
+ * 1 - X < Y
+ * 2 - X > Y
+ * 3 - values unordered
+ */
+
+short Decimal64::decCompare(Decimal64 op2) const
+{
+ if (decDoubleIsNaN(&dec) || decDoubleIsNaN(&op2.dec))
+ return 3;
+
+ switch (totalOrder(op2))
+ {
+ case -1:
+ return 1;
+ case 0:
+ return 0;
+ case 1:
+ return 2;
+ default:
+ fb_assert(false);
+ }
+
+ // warning silencer
+ return 3;
+}
+
+Decimal128 Decimal128::set(Decimal64 d64)
+{
+ decDoubleToWider(&d64.dec, &dec);
+
+ return *this;
+}
+
+#if SIZEOF_LONG < 8
+Decimal128 Decimal128::set(int value, DecimalStatus decSt, int scale)
+{
+ return set(SLONG(value), decSt, scale);
+}
+#endif
+
+Decimal128 Decimal128::set(SLONG value, DecimalStatus decSt, int scale)
+{
+ decQuadFromInt32(&dec, value);
+ setScale(decSt, -scale);
+
+ return *this;
+}
+
+Decimal128 Decimal128::set(SINT64 value, DecimalStatus decSt, int scale)
+{
+ {
+ int high = value >> 32;
+ unsigned low = value & 0xFFFFFFFF;
+
+ DecimalContext context(this, decSt);
+ decQuad pow2_32;
+ decQuadFromString(&pow2_32, "4294967296", &context);
+
+ decQuad up, down;
+ decQuadFromInt32(&up, high);
+ decQuadFromUInt32(&down, low);
+ decQuadFMA(&dec, &up, &pow2_32, &down, &context);
+ }
+
+ setScale(decSt, -scale);
+
+ return *this;
+}
+
+Decimal128 Decimal128::set(const char* value, DecimalStatus decSt)
+{
+ DecimalContext context(this, decSt);
+ decQuadFromString(&dec, value, &context);
+
+ return *this;
+}
+
+Decimal128 Decimal128::set(double value, DecimalStatus decSt)
+{
+ char s[50];
+ sprintf(s, "%.016e", value);
+ DecimalContext context(this, decSt);
+ decQuadFromString(&dec, s, &context);
+
+ return *this;
+}
+
+Decimal128 Decimal128::operator=(Decimal64 d64)
+{
+ decDoubleToWider(&d64.dec, &dec);
+ return *this;
+}
+
+int Decimal128::toInteger(DecimalStatus decSt, int scale) const
+{
+ Decimal128 tmp(*this);
+ tmp.setScale(decSt, -scale);
+ DecimalContext context(this, decSt);
+ enum rounding rMode = decContextGetRounding(&context);
+ return decQuadToInt32(&tmp.dec, &context, rMode);
+}
+
+void Decimal128::toString(DecimalStatus decSt, unsigned length, char* to) const
+{
+ DecimalContext context(this, decSt);
+
+ if (length)
+ {
+ --length;
+ char s[IDecFloat34::STRING_SIZE];
+ memset(s, 0, sizeof(s));
+ decQuadToString(&dec, s);
+
+ if (strlen(s) > length)
+ decContextSetStatus(&context, DEC_Invalid_operation);
+ else
+ length = strlen(s);
+
+ memcpy(to, s, length + 1);
+ }
+ else
+ decContextSetStatus(&context, DEC_Invalid_operation);
+}
+
+void Decimal128::toString(string& to) const
+{
+ to.grow(IDecFloat34::STRING_SIZE);
+ toString(DecimalStatus(0), to.length(), to.begin()); // provide long enough string, i.e. no traps
+ to.recalculate_length();
+}
+
+double Decimal128::toDouble(DecimalStatus decSt) const
+{
+ DecimalContext context(this, decSt);
+
+ if (compare(decSt, dmin) < 0 || compare(decSt, dmax) > 0)
+ decContextSetStatus(&context, DEC_Overflow);
+ else
+ {
+ char s[IDecFloat34::STRING_SIZE];
+ memset(s, 0, sizeof(s));
+ decQuadToString(&dec, s);
+ return atof(s);
+ }
+
+ return 0.0;
+}
+
+SINT64 Decimal128::toInt64(DecimalStatus decSt, int scale) const
+{
+ static CDecimal128 quant(1);
+
+ Decimal128 wrk(*this);
+ wrk.setScale(decSt, -scale);
+ wrk = wrk.quantize(decSt, quant);
+
+ if (wrk.compare(decSt, i64min) < 0 || wrk.compare(decSt, i64max) > 0)
+ {
+ DecimalContext context(this, decSt);
+ decContextSetStatus(&context, DEC_Invalid_operation);
+ return 0; // in case of no trap on invalid operation
+ }
+
+ unsigned char coeff[DECQUAD_Pmax];
+ int sign = decQuadGetCoefficient(&wrk.dec, coeff);
+ SINT64 rc = 0;
+
+ for (int i = 0; i < DECQUAD_Pmax; ++i)
+ {
+ rc *= 10;
+ if (sign)
+ rc -= coeff[i];
+ else
+ rc += coeff[i];
+ }
+
+ return rc;
+}
+
+UCHAR* Decimal128::getBytes()
+{
+ return dec.bytes;
+}
+
+Decimal64 Decimal128::toDecimal64(DecimalStatus decSt) const
+{
+ Decimal64 rc;
+ DecimalContext context(this, decSt);
+ decDoubleFromWider(&rc.dec, &dec, &context);
+ return rc;
+}
+
+void Decimal128::setScale(DecimalStatus decSt, int scale)
+{
+ if (scale)
+ {
+ DecimalContext context(this, decSt);
+ scale += decQuadGetExponent(&dec);
+ decQuadSetExponent(&dec, &context, scale);
+ }
+}
+
+int Decimal128::compare(DecimalStatus decSt, Decimal128 tgt) const
+{
+ DecimalContext context(this, decSt);
+ decQuad r;
+ decQuadCompare(&r, &dec, &tgt.dec, &context);
+ return decQuadToInt32(&r, &context, DEC_ROUND_HALF_UP);
+}
+
+bool Decimal128::isInf() const
+{
+ switch(decQuadClass(&dec))
+ {
+ case DEC_CLASS_NEG_INF:
+ case DEC_CLASS_POS_INF:
+ return true;
+ }
+
+ return false;
+}
+
+bool Decimal128::isNan() const
+{
+ switch(decQuadClass(&dec))
+ {
+ case DEC_CLASS_SNAN:
+ case DEC_CLASS_QNAN:
+ return true;
+ }
+
+ return false;
+}
+
+int Decimal128::sign() const
+{
+ if (decQuadIsZero(&dec))
+ return 0;
+ if (decQuadIsSigned(&dec))
+ return -1;
+ return 1;
+}
+
+Decimal128 Decimal128::abs() const
+{
+ Decimal128 rc;
+ decQuadCopyAbs(&rc.dec, &dec);
+ return rc;
+}
+
+Decimal128 Decimal128::ceil(DecimalStatus decSt) const
+{
+ DecimalContext context(this, decSt);
+ Decimal128 rc;
+ decQuadToIntegralValue(&rc.dec, &dec, &context, DEC_ROUND_CEILING);
+ return rc;
+}
+
+Decimal128 Decimal128::floor(DecimalStatus decSt) const
+{
+ DecimalContext context(this, decSt);
+ Decimal128 rc;
+ decQuadToIntegralValue(&rc.dec, &dec, &context, DEC_ROUND_FLOOR);
+ return rc;
+}
+
+#ifdef DEV_BUILD
+int Decimal128::show()
+{
+ decQuadShow(&dec, "");
+ return 0;
+}
+#endif
+
+Decimal128 Decimal128::add(DecimalStatus decSt, Decimal128 op2) const
+{
+ DecimalContext context(this, decSt);
+ Decimal128 rc;
+ decQuadAdd(&rc.dec, &dec, &op2.dec, &context);
+ return rc;
+}
+
+Decimal128 Decimal128::sub(DecimalStatus decSt, Decimal128 op2) const
+{
+ DecimalContext context(this, decSt);
+ Decimal128 rc;
+ decQuadSubtract(&rc.dec, &dec, &op2.dec, &context);
+ return rc;
+}
+
+Decimal128 Decimal128::mul(DecimalStatus decSt, Decimal128 op2) const
+{
+ DecimalContext context(this, decSt);
+ Decimal128 rc;
+ decQuadMultiply(&rc.dec, &dec, &op2.dec, &context);
+ return rc;
+}
+
+Decimal128 Decimal128::div(DecimalStatus decSt, Decimal128 op2) const
+{
+ DecimalContext context(this, decSt);
+ Decimal128 rc;
+ decQuadDivide(&rc.dec, &dec, &op2.dec, &context);
+ return rc;
+}
+
+Decimal128 Decimal128::neg() const
+{
+ Decimal128 rc;
+ decQuadCopyNegate(&rc.dec, &dec);
+ return rc;
+}
+
+Decimal128 Decimal128::fma(DecimalStatus decSt, Decimal128 op2, Decimal128 op3) const
+{
+ DecimalContext context(this, decSt);
+ Decimal128 rc;
+ decQuadFMA(&rc.dec, &op2.dec, &op3.dec, &dec, &context);
+ return rc;
+}
+
+Decimal128 Decimal128::sqrt(DecimalStatus decSt) const
+{
+ decNumber dn;
+ decQuadToNumber(&dec, &dn);
+
+ DecimalContext context(this, decSt);
+ decNumberSquareRoot(&dn, &dn, &context);
+
+ Decimal128 rc;
+ decQuadFromNumber(&rc.dec, &dn, &context);
+ return rc;
+}
+
+Decimal128 Decimal128::pow(DecimalStatus decSt, Decimal128 op2) const
+{
+ decNumber dn, dn2;
+ decQuadToNumber(&dec, &dn);
+ decQuadToNumber(&op2.dec, &dn2);
+
+ DecimalContext context(this, decSt);
+ decNumberPower(&dn, &dn, &dn2, &context);
+
+ Decimal128 rc;
+ decQuadFromNumber(&rc.dec, &dn, &context);
+ return rc;
+}
+
+Decimal128 Decimal128::ln(DecimalStatus decSt) const
+{
+ decNumber dn;
+ decQuadToNumber(&dec, &dn);
+
+ DecimalContext context(this, decSt);
+ decNumberLn(&dn, &dn, &context);
+
+ Decimal128 rc;
+ decQuadFromNumber(&rc.dec, &dn, &context);
+ return rc;
+}
+
+Decimal128 Decimal128::log10(DecimalStatus decSt) const
+{
+ decNumber dn;
+ decQuadToNumber(&dec, &dn);
+
+ DecimalContext context(this, decSt);
+ decNumberLog10(&dn, &dn, &context);
+
+ Decimal128 rc;
+ decQuadFromNumber(&rc.dec, &dn, &context);
+ return rc;
+}
+
+void Decimal128::makeKey(ULONG* key) const
+{
+ unsigned char coeff[DECQUAD_Pmax];
+ int sign = decQuadGetCoefficient(&dec, coeff);
+ int exp = decQuadGetExponent(&dec);
+
+ make(key, DECQUAD_Pmax, DECQUAD_Bias, sizeof(dec), coeff, sign, exp);
+}
+
+void Decimal128::grabKey(ULONG* key)
+{
+ int exp, sign;
+ unsigned char bcd[DECQUAD_Pmax];
+
+ grab(key, DECQUAD_Pmax, DECQUAD_Bias, sizeof(dec), bcd, sign, exp);
+
+ decQuadFromBCD(&dec, exp, bcd, sign);
+}
+
+ULONG Decimal128::getIndexKeyLength()
+{
+ return 17;
+}
+
+ULONG Decimal128::makeIndexKey(vary* buf)
+{
+ unsigned char coeff[DECQUAD_Pmax + 2];
+ int sign = decQuadGetCoefficient(&dec, coeff);
+ int exp = decQuadGetExponent(&dec);
+ const int bias = DECQUAD_Bias;
+ const unsigned pMax = DECQUAD_Pmax;
+
+ // normalize coeff & exponent
+ unsigned dig = digits(pMax, coeff, exp);
+
+ // exponent bias and sign
+ exp += (bias + 1);
+ if (!dig)
+ exp = 0;
+ if (sign)
+ exp = -exp;
+ exp += 2 * (bias + 1); // make it positive
+ fb_assert(exp >= 0 && exp < 64 * 1024);
+
+ // encode exp
+ char* k = buf->vary_string;
+ *k++ = exp >> 8;
+ *k++ = exp & 0xff;
+
+ // invert negative
+ unsigned char* const end = &coeff[dig];
+ if (sign && dig)
+ {
+ fb_assert(end[-1]);
+ --end[-1];
+
+ for (unsigned char* p = coeff; p < end; ++p)
+ *p = 9 - *p;
+ }
+
+ // Some 0's in the end - caller, do not forget to reserve additional space on stack
+ end[0] = end[1] = 0;
+
+ // Avoid bad data in k in case when coeff is zero
+ *k = 0;
+
+ // Shifts for moving 10-bit values to bytes buffer
+ struct ShiftTable { UCHAR rshift, lshift; };
+ static ShiftTable table[4] =
+ {
+ { 2, 6 },
+ { 4, 4 },
+ { 6, 2 },
+ { 8, 0 }
+ };
+
+ // compress coeff - 3 decimal digits (999) per 10 bits (1023)
+ unsigned char* p = coeff;
+ for (ShiftTable* t = table; p < end; p += 3)
+ {
+ USHORT val = p[0] * 100 + p[1] * 10 + p[2];
+ fb_assert(val < 1000); // 1024, 10 bit
+ *k |= (val >> t->rshift);
+ ++k;
+ *k = (val << t->lshift);
+ if (!t->lshift)
+ {
+ ++k;
+ *k = 0;
+ t = table;
+ }
+ else
+ ++t;
+ }
+ if (*k)
+ ++k;
+
+ // done
+ buf->vary_length = k - buf->vary_string;
+ return buf->vary_length;
+}
+
+Decimal128 Decimal128::quantize(DecimalStatus decSt, Decimal128 op2) const
+{
+ DecimalContext context(this, decSt);
+ Decimal128 rc;
+ decQuadQuantize(&rc.dec, &dec, &op2.dec, &context);
+ return rc;
+}
+
+Decimal128 Decimal128::normalize(DecimalStatus decSt) const
+{
+ DecimalContext context(this, decSt);
+ Decimal128 rc;
+ decQuadReduce(&rc.dec, &dec, &context);
+ return rc;
+}
+
+short Decimal128::totalOrder(Decimal128 op2) const
+{
+ decQuad r;
+ decQuadCompareTotal(&r, &dec, &op2.dec);
+ fb_assert(!decQuadIsNaN(&r));
+
+ DecimalContext context2(this, 0);
+ return decQuadToInt32(&r, &context2, DEC_ROUND_HALF_UP);
+}
+
+/*
+ * decCompare() implements SQL function COMPARE_DECFLOAT() which has non-traditional return values.
+ * COMPARE_DECFLOAT (X, Y)
+ * 0 - X == Y
+ * 1 - X < Y
+ * 2 - X > Y
+ * 3 - values unordered
+ */
+
+short Decimal128::decCompare(Decimal128 op2) const
+{
+ if (decQuadIsNaN(&dec) || decQuadIsNaN(&op2.dec))
+ return 3;
+
+ switch (totalOrder(op2))
+ {
+ case -1:
+ return 1;
+ case 0:
+ return 0;
+ case 1:
+ return 2;
+ default:
+ fb_assert(false);
+ }
+
+ // warning silencer
+ return 3;
+}
+
+} // namespace Firebird
diff --git a/src/common/DecFloat.h b/src/common/DecFloat.h
new file mode 100644
index 0000000000..2388ae8661
--- /dev/null
+++ b/src/common/DecFloat.h
@@ -0,0 +1,195 @@
+/*
+ * PROGRAM: Decimal 64 & 128 type.
+ * MODULE: DecFloat.h
+ * DESCRIPTION: Floating point with decimal exponent.
+ *
+ * The contents of this file are subject to the Initial
+ * Developer's Public License Version 1.0 (the "License");
+ * you may not use this file except in compliance with the
+ * License. You may obtain a copy of the License at
+ * http://www.ibphoenix.com/main.nfs?a=ibphoenix&page=ibp_idpl.
+ *
+ * Software distributed under the License is distributed AS IS,
+ * WITHOUT WARRANTY OF ANY KIND, either express or implied.
+ * See the License for the specific language governing rights
+ * and limitations under the License.
+ *
+ * The Original Code was created by Alex Peshkov
+ * for the Firebird Open Source RDBMS project.
+ *
+ * Copyright (c) 2016 Alex Peshkov
+ * and all contributors signed below.
+ *
+ * All Rights Reserved.
+ * Contributor(s): ______________________________________.
+ *
+ *
+ */
+
+#ifndef FB_DECIMAL_FLOAT
+#define FB_DECIMAL_FLOAT
+
+#include "firebird/Interface.h"
+#include "fb_exception.h"
+
+#include "classes/fb_string.h"
+
+extern "C"
+{
+#include "../../extern/decNumber/decQuad.h"
+#include "../../extern/decNumber/decDouble.h"
+}
+
+namespace Firebird {
+
+struct DecimalStatus
+{
+ DecimalStatus(USHORT exc)
+ : decExtFlag(exc), roundingMode(DEC_ROUND_HALF_UP)
+ { }
+
+ USHORT decExtFlag, roundingMode;
+};
+
+struct DecimalBinding
+{
+ DecimalBinding()
+ : bind(DEC_NATIVE), numScale(0)
+ { }
+
+ enum Bind { DEC_NATIVE, DEC_TEXT, DEC_DOUBLE, DEC_NUMERIC };
+
+ Bind bind;
+ SCHAR numScale;
+};
+
+class Decimal64
+{
+ friend class Decimal128;
+
+public:
+#if SIZEOF_LONG < 8
+ Decimal64 set(int value, DecimalStatus decSt, int scale);
+#endif
+ Decimal64 set(SLONG value, DecimalStatus decSt, int scale);
+ Decimal64 set(SINT64 value, DecimalStatus decSt, int scale);
+ Decimal64 set(const char* value, DecimalStatus decSt);
+ Decimal64 set(double value, DecimalStatus decSt);
+
+ UCHAR* getBytes();
+ Decimal64 abs() const;
+ Decimal64 ceil(DecimalStatus decSt) const;
+ Decimal64 floor(DecimalStatus decSt) const;
+ Decimal64 neg() const;
+
+ void toString(DecimalStatus decSt, unsigned length, char* to) const;
+ void toString(string& to) const;
+
+ int compare(DecimalStatus decSt, Decimal64 tgt) const;
+ bool isInf() const;
+ bool isNan() const;
+ int sign() const;
+
+ void makeKey(ULONG* key) const;
+ void grabKey(ULONG* key);
+
+ Decimal64 quantize(DecimalStatus decSt, Decimal64 op2) const;
+ Decimal64 normalize(DecimalStatus decSt) const;
+ short totalOrder(Decimal64 op2) const;
+ short decCompare(Decimal64 op2) const;
+
+#ifdef DEV_BUILD
+ int show();
+#endif
+
+private:
+ decDouble dec;
+
+ void setScale(DecimalStatus decSt, int scale);
+};
+
+class Decimal128
+{
+ friend class Decimal64;
+
+public:
+ Decimal128 set(Decimal64 d64);
+#if SIZEOF_LONG < 8
+ Decimal128 set(int value, DecimalStatus decSt, int scale);
+#endif
+ Decimal128 set(SLONG value, DecimalStatus decSt, int scale);
+ Decimal128 set(SINT64 value, DecimalStatus decSt, int scale);
+ Decimal128 set(const char* value, DecimalStatus decSt);
+ Decimal128 set(double value, DecimalStatus decSt);
+
+ Decimal128 operator=(Decimal64 d64);
+
+ int toInteger(DecimalStatus decSt, int scale) const;
+ void toString(DecimalStatus decSt, unsigned length, char* to) const;
+ void toString(string& to) const;
+ double toDouble(DecimalStatus decSt) const;
+ SINT64 toInt64(DecimalStatus decSt, int scale) const;
+ UCHAR* getBytes();
+ Decimal64 toDecimal64(DecimalStatus decSt) const;
+ Decimal128 abs() const;
+ Decimal128 ceil(DecimalStatus decSt) const;
+ Decimal128 floor(DecimalStatus decSt) const;
+ Decimal128 add(DecimalStatus decSt, Decimal128 op2) const;
+ Decimal128 sub(DecimalStatus decSt, Decimal128 op2) const;
+ Decimal128 mul(DecimalStatus decSt, Decimal128 op2) const;
+ Decimal128 div(DecimalStatus decSt, Decimal128 op2) const;
+ Decimal128 neg() const;
+ Decimal128 fma(DecimalStatus decSt, Decimal128 op2, Decimal128 op3) const;
+ Decimal128 sqrt(DecimalStatus decSt) const;
+ Decimal128 pow(DecimalStatus decSt, Decimal128 op2) const;
+ Decimal128 ln(DecimalStatus decSt) const;
+ Decimal128 log10(DecimalStatus decSt) const;
+
+ int compare(DecimalStatus decSt, Decimal128 tgt) const;
+ bool isInf() const;
+ bool isNan() const;
+ int sign() const;
+
+ void makeKey(ULONG* key) const;
+ void grabKey(ULONG* key);
+ static ULONG getIndexKeyLength();
+ ULONG makeIndexKey(vary* buf);
+
+ Decimal128 quantize(DecimalStatus decSt, Decimal128 op2) const;
+ Decimal128 normalize(DecimalStatus decSt) const;
+ short totalOrder(Decimal128 op2) const;
+ short decCompare(Decimal128 op2) const;
+
+#ifdef DEV_BUILD
+ int show();
+#endif
+
+private:
+ decQuad dec;
+
+ void setScale(DecimalStatus decSt, int scale);
+};
+
+class CDecimal128 : public Decimal128
+{
+public:
+ CDecimal128(double value, DecimalStatus decSt)
+ {
+ set(value, decSt);
+ }
+
+ CDecimal128(SINT64 value, DecimalStatus decSt)
+ {
+ set(value, decSt, 0);
+ }
+
+ CDecimal128(int value)
+ {
+ set(value, DecimalStatus(0), 0);
+ }
+};
+
+} // namespace Firebird
+
+
+#endif // FB_DECIMAL_FLOAT
diff --git a/src/common/IntlUtil.cpp b/src/common/IntlUtil.cpp
index a9eca194c1..ed6d379399 100644
--- a/src/common/IntlUtil.cpp
+++ b/src/common/IntlUtil.cpp
@@ -49,8 +49,7 @@ namespace
~TextTypeImpl()
{
- if (cs->charset_fn_destroy)
- cs->charset_fn_destroy(cs);
+ Firebird::IntlUtil::finiCharset(cs);
delete cs;
delete collation;
@@ -539,6 +538,17 @@ bool IntlUtil::initUnicodeCollation(texttype* tt, charset* cs, const ASCII* name
}
+void IntlUtil::finiCharset(charset* cs)
+{
+ if (cs->charset_to_unicode.csconvert_fn_destroy)
+ cs->charset_to_unicode.csconvert_fn_destroy(&cs->charset_to_unicode);
+ if (cs->charset_from_unicode.csconvert_fn_destroy)
+ cs->charset_from_unicode.csconvert_fn_destroy(&cs->charset_from_unicode);
+ if (cs->charset_fn_destroy)
+ cs->charset_fn_destroy(cs);
+}
+
+
ULONG IntlUtil::toLower(Jrd::CharSet* cs, ULONG srcLen, const UCHAR* src, ULONG dstLen, UCHAR* dst,
const ULONG* exceptions)
{
diff --git a/src/common/IntlUtil.h b/src/common/IntlUtil.h
index 1d6fc36ec5..03f4008f80 100644
--- a/src/common/IntlUtil.h
+++ b/src/common/IntlUtil.h
@@ -80,6 +80,8 @@ public:
static bool initUnicodeCollation(texttype* tt, charset* cs, const ASCII* name,
USHORT attributes, const UCharBuffer& specificAttributes, const string& configInfo);
+ static void finiCharset(charset* cs);
+
static ULONG toLower(Jrd::CharSet* cs, ULONG srcLen, const UCHAR* src, ULONG dstLen, UCHAR* dst,
const ULONG* exceptions);
static ULONG toUpper(Jrd::CharSet* cs, ULONG srcLen, const UCHAR* src, ULONG dstLen, UCHAR* dst,
diff --git a/src/common/MsgMetadata.cpp b/src/common/MsgMetadata.cpp
index 932e662ade..05d0084c3a 100644
--- a/src/common/MsgMetadata.cpp
+++ b/src/common/MsgMetadata.cpp
@@ -286,6 +286,7 @@ void MsgMetadata::addItem(const MetaName& name, bool nullable, const dsc& desc)
item.subType = sqlSubType;
item.length = sqlLen;
item.scale = sqlScale;
+ item.charSet = desc.getCharSet();
item.finished = true;
}
diff --git a/src/common/StatementMetadata.cpp b/src/common/StatementMetadata.cpp
index 71606873bb..ef6f9ee130 100644
--- a/src/common/StatementMetadata.cpp
+++ b/src/common/StatementMetadata.cpp
@@ -167,7 +167,7 @@ const char* StatementMetadata::getPlan(bool detailed)
if (plan->isEmpty())
{
- UCHAR info[] = {detailed ? isc_info_sql_explain_plan : isc_info_sql_get_plan};
+ UCHAR info[] = {UCHAR(detailed ? isc_info_sql_explain_plan : isc_info_sql_get_plan)};
UCHAR result[INFO_BUFFER_SIZE];
getAndParse(sizeof(info), info, sizeof(result), result);
@@ -484,8 +484,8 @@ void StatementMetadata::fetchParameters(UCHAR code, Parameters* parameters)
{
isc_info_sql_sqlda_start,
2,
- (startIndex & 0xFF),
- ((startIndex >> 8) & 0xFF),
+ UCHAR(startIndex & 0xFF),
+ UCHAR((startIndex >> 8) & 0xFF),
code
};
memcpy(items + 5, DESCRIBE_VARS, sizeof(DESCRIBE_VARS));
diff --git a/src/common/classes/Hash.cpp b/src/common/classes/Hash.cpp
index 6614708889..afe31c9a84 100644
--- a/src/common/classes/Hash.cpp
+++ b/src/common/classes/Hash.cpp
@@ -43,12 +43,11 @@ namespace
{
unsigned int hash_value = 0;
- UCHAR* p;
+ UCHAR* const p = (UCHAR*) &hash_value;
const UCHAR* q = value;
while (length >= 4)
{
- p = (UCHAR*) &hash_value;
p[0] += q[0];
p[1] += q[1];
p[2] += q[2];
@@ -57,18 +56,16 @@ namespace
q += 4;
}
- p = (UCHAR*) &hash_value;
-
if (length >= 2)
{
p[0] += q[0];
p[1] += q[1];
length -= 2;
+ q += 2;
}
if (length)
{
- q += 2;
*p += *q;
}
diff --git a/src/common/classes/ImplementHelper.h b/src/common/classes/ImplementHelper.h
index c7647fb9b1..cd2b28a128 100644
--- a/src/common/classes/ImplementHelper.h
+++ b/src/common/classes/ImplementHelper.h
@@ -117,7 +117,7 @@ protected:
void refCntDPrt(char f)
{
if (mark)
- fprintf(stderr, "%s %p %c %lld\n", mark, this, f, refCounter.value());
+ fprintf(stderr, "%s %p %c %d\n", mark, this, f, int(refCounter.value()));
}
AtomicCounter refCounter;
diff --git a/src/common/classes/InternalMessageBuffer.cpp b/src/common/classes/InternalMessageBuffer.cpp
index 9c784529fe..3c57e39a87 100644
--- a/src/common/classes/InternalMessageBuffer.cpp
+++ b/src/common/classes/InternalMessageBuffer.cpp
@@ -172,6 +172,16 @@ MetadataFromBlr::MetadataFromBlr(unsigned aBlrLength, const unsigned char* aBlr,
item->length = sizeof(UCHAR);
break;
+ case blr_dec64:
+ item->type = SQL_DEC16;
+ item->length = sizeof(Decimal64);
+ break;
+
+ case blr_dec128:
+ item->type = SQL_DEC34;
+ item->length = sizeof(Decimal128);
+ break;
+
default:
(Arg::Gds(isc_sqlerr) << Arg::Num(-804) <<
Arg::Gds(isc_dsql_sqlda_err)
diff --git a/src/common/classes/RefCounted.h b/src/common/classes/RefCounted.h
index 674e892f45..1766a6190b 100644
--- a/src/common/classes/RefCounted.h
+++ b/src/common/classes/RefCounted.h
@@ -193,7 +193,7 @@ namespace Firebird
return ptr;
}
- private:
+ protected:
T* assign(T* const p)
{
if (ptr != p)
@@ -215,6 +215,7 @@ namespace Firebird
return ptr;
}
+ private:
T* ptr;
};
diff --git a/src/common/common.h b/src/common/common.h
index 0ee7a33842..9f2c8c067f 100644
--- a/src/common/common.h
+++ b/src/common/common.h
@@ -126,7 +126,7 @@
#define FB_CPU CpuPowerPc
#endif
-#ifdef i386
+#if defined(i386) || defined(__i386) || defined(__i386__)
#define I386
#define FB_CPU CpuIntel
#endif /* i386 */
@@ -603,6 +603,13 @@ extern "C" int remove(const char* path);
#define FB_EXPORTED
#endif
+#ifdef HAS_NOEXCEPT
+#define NOEXCEPT noexcept
+#define NOEXCEPT_ARG(X) noexcept((X))
+#else
+#define NOEXCEPT
+#define NOEXCEPT_ARG(X)
+#endif
/* alignment macros */
diff --git a/src/common/cvt.cpp b/src/common/cvt.cpp
index 6fffcd3dac..93fa695120 100644
--- a/src/common/cvt.cpp
+++ b/src/common/cvt.cpp
@@ -137,6 +137,7 @@ enum EXPECT_DATETIME
static void datetime_to_text(const dsc*, dsc*, Callbacks*);
static void float_to_text(const dsc*, dsc*, Callbacks*);
+static void decimal_float_to_text(const dsc*, dsc*, DecimalStatus, Callbacks*);
static void integer_to_text(const dsc*, dsc*, Callbacks*);
static void string_to_datetime(const dsc*, GDS_TIMESTAMP*, const EXPECT_DATETIME, ErrorFunction);
static SINT64 hex_to_value(const char*& string, const char* end);
@@ -296,7 +297,38 @@ static void float_to_text(const dsc* from, dsc* to, Callbacks* cb)
intermediate.dsc_length = chars_printed - 1;
}
- CVT_move_common(&intermediate, to, cb);
+ CVT_move_common(&intermediate, to, 0, cb);
+}
+
+
+static void decimal_float_to_text(const dsc* from, dsc* to, DecimalStatus decSt, Callbacks* cb)
+{
+ char temp[50];
+
+ try
+ {
+ Decimal128 d;
+ if (from->dsc_dtype == dtype_dec64)
+ d = *((Decimal64*) from->dsc_address);
+ else
+ d = *((Decimal128*) from->dsc_address);
+
+ d.toString(decSt, sizeof(temp), temp);
+ }
+ catch (const Exception& ex)
+ {
+ // reraise using function passed in callbacks
+ Arg::StatusVector v(ex);
+ cb->err(v);
+ }
+
+ dsc intermediate;
+ intermediate.dsc_dtype = dtype_text;
+ intermediate.dsc_ttype() = ttype_ascii;
+ intermediate.dsc_address = reinterpret_cast(temp);
+ intermediate.dsc_length = strlen(temp);
+
+ CVT_move_common(&intermediate, to, 0, cb);
}
@@ -343,7 +375,7 @@ static void integer_to_text(const dsc* from, dsc* to, Callbacks* cb)
intermediate.dsc_scale = scale;
intermediate.dsc_address = (UCHAR*) &n;
- CVT_move_common(from, &intermediate, cb);
+ CVT_move_common(from, &intermediate, 0, cb);
// Check for negation, then convert the number to a string of digits
@@ -528,7 +560,7 @@ static void string_to_datetime(const dsc* desc,
VaryStr<100> buffer; // arbitrarily large
const char* p = NULL;
- const USHORT length = CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), err);
+ const USHORT length = CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), 0, err);
const char* const end = p + length;
@@ -862,7 +894,7 @@ static void string_to_datetime(const dsc* desc,
}
-SLONG CVT_get_long(const dsc* desc, SSHORT scale, ErrorFunction err)
+SLONG CVT_get_long(const dsc* desc, SSHORT scale, DecimalStatus decSt, ErrorFunction err)
{
/**************************************
*
@@ -878,6 +910,7 @@ SLONG CVT_get_long(const dsc* desc, SSHORT scale, ErrorFunction err)
SLONG value, high;
double d, eps;
+ Decimal128 d128;
SINT64 val64;
VaryStr<50> buffer; // long enough to represent largest long in ASCII
@@ -940,6 +973,15 @@ SLONG CVT_get_long(const dsc* desc, SSHORT scale, ErrorFunction err)
err(Arg::Gds(isc_arith_except) << Arg::Gds(isc_numeric_out_of_range));
break;
+ case dtype_dec64:
+ case dtype_dec128:
+ if (desc->dsc_dtype == dtype_dec64)
+ d128 = *((Decimal64*) p);
+ else
+ d128 = *((Decimal128*) p);
+
+ return d128.toInteger(decSt, scale);
+
case dtype_real:
case dtype_double:
if (desc->dsc_dtype == dtype_real)
@@ -986,7 +1028,7 @@ SLONG CVT_get_long(const dsc* desc, SSHORT scale, ErrorFunction err)
case dtype_text:
{
USHORT length =
- CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), err);
+ CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), decSt, err);
scale -= CVT_decompose(p, length, dtype_long, &value, err);
}
break;
@@ -1054,7 +1096,7 @@ bool CVT_get_boolean(const dsc* desc, ErrorFunction err)
{
VaryStr<100> buffer; // arbitrarily large
const char* p = NULL;
- int len = CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), err);
+ int len = CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), 0, err);
// Remove heading and trailing spaces.
@@ -1082,7 +1124,7 @@ bool CVT_get_boolean(const dsc* desc, ErrorFunction err)
}
-double CVT_get_double(const dsc* desc, ErrorFunction err)
+double CVT_get_double(const dsc* desc, DecimalStatus decSt, ErrorFunction err, bool* getNumericOverflow)
{
/**************************************
*
@@ -1128,6 +1170,18 @@ double CVT_get_double(const dsc* desc, ErrorFunction err)
memcpy(&value, desc->dsc_address, sizeof(double));
return value;
+ case dtype_dec64:
+ case dtype_dec128:
+ {
+ Decimal128 d128;
+ if (desc->dsc_dtype == dtype_dec64)
+ d128 = *((Decimal64*) desc->dsc_address);
+ else
+ d128 = *((Decimal128*) desc->dsc_address);
+
+ return d128.toDouble(decSt);
+ }
+
case dtype_varying:
case dtype_cstring:
case dtype_text:
@@ -1136,7 +1190,7 @@ double CVT_get_double(const dsc* desc, ErrorFunction err)
const char* p;
const USHORT length =
- CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), err);
+ CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), decSt, err);
value = 0.0;
int scale = 0;
SSHORT sign = 0;
@@ -1217,7 +1271,15 @@ double CVT_get_double(const dsc* desc, ErrorFunction err)
// later in this routine.
if (exp >= SHORT_LIMIT)
+ {
+ if (getNumericOverflow)
+ {
+ *getNumericOverflow = true;
+ return 0;
+ }
+
err(Arg::Gds(isc_arith_except) << Arg::Gds(isc_numeric_out_of_range));
+ }
}
else if (*p == '-' && !digit_seen && !sign)
sign = -1;
@@ -1250,8 +1312,15 @@ double CVT_get_double(const dsc* desc, ErrorFunction err)
// the user know...
if (ABSOLUT(scale) > DBL_MAX_10_EXP)
- err(Arg::Gds(isc_arith_except) << Arg::Gds(isc_numeric_out_of_range));
+ {
+ if (getNumericOverflow)
+ {
+ *getNumericOverflow = true;
+ return 0;
+ }
+ err(Arg::Gds(isc_arith_except) << Arg::Gds(isc_numeric_out_of_range));
+ }
// Repeated division is a good way to mung the least significant bits
// of your value, so we have replaced this iterative multiplication/division
@@ -1266,7 +1335,15 @@ double CVT_get_double(const dsc* desc, ErrorFunction err)
value *= CVT_power_of_ten(-scale);
if (isinf(value))
+ {
+ if (getNumericOverflow)
+ {
+ *getNumericOverflow = true;
+ return 0;
+ }
+
err(Arg::Gds(isc_arith_except) << Arg::Gds(isc_numeric_out_of_range));
+ }
}
return value;
@@ -1308,7 +1385,7 @@ double CVT_get_double(const dsc* desc, ErrorFunction err)
}
-void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
+void CVT_move_common(const dsc* from, dsc* to, DecimalStatus decSt, Callbacks* cb)
{
/**************************************
*
@@ -1391,6 +1468,8 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
case dtype_real:
case dtype_double:
case dtype_boolean:
+ case dtype_dec64:
+ case dtype_dec128:
CVT_conversion_error(from, cb->err);
break;
}
@@ -1424,6 +1503,8 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
case dtype_real:
case dtype_double:
case dtype_boolean:
+ case dtype_dec64:
+ case dtype_dec128:
CVT_conversion_error(from, cb->err);
break;
}
@@ -1457,6 +1538,8 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
case dtype_real:
case dtype_double:
case dtype_boolean:
+ case dtype_dec64:
+ case dtype_dec128:
CVT_conversion_error(from, cb->err);
break;
}
@@ -1548,7 +1631,7 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
{ // scope
USHORT strtype_unused;
UCHAR *ptr;
- length = len = CVT_get_string_ptr_common(from, &strtype_unused, &ptr, NULL, 0, cb);
+ length = len = CVT_get_string_ptr_common(from, &strtype_unused, &ptr, NULL, 0, decSt, cb);
q = ptr;
} // end scope
@@ -1644,6 +1727,11 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
float_to_text(from, to, cb);
return;
+ case dtype_dec64:
+ case dtype_dec128:
+ decimal_float_to_text(from, to, decSt, cb);
+ return;
+
case dtype_sql_date:
case dtype_sql_time:
case dtype_timestamp:
@@ -1660,7 +1748,7 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
intermediate.makeText(static_cast(strlen(text)), CS_ASCII,
reinterpret_cast(text));
- CVT_move_common(&intermediate, to, cb);
+ CVT_move_common(&intermediate, to, decSt, cb);
return;
}
@@ -1695,7 +1783,7 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
case dtype_short:
{
- ULONG lval = CVT_get_long(from, (SSHORT) to->dsc_scale, cb->err);
+ ULONG lval = CVT_get_long(from, (SSHORT) to->dsc_scale, decSt, cb->err);
// TMN: Here we should really have the following fb_assert
// fb_assert(lval <= MAX_SSHORT);
*(SSHORT*) p = (SSHORT) lval;
@@ -1705,11 +1793,11 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
return;
case dtype_long:
- *(SLONG *) p = CVT_get_long(from, (SSHORT) to->dsc_scale, cb->err);
+ *(SLONG *) p = CVT_get_long(from, (SSHORT) to->dsc_scale, decSt, cb->err);
return;
case dtype_int64:
- *(SINT64 *) p = CVT_get_int64(from, (SSHORT) to->dsc_scale, cb->err);
+ *(SINT64 *) p = CVT_get_int64(from, (SSHORT) to->dsc_scale, decSt, cb->err);
return;
case dtype_quad:
@@ -1719,12 +1807,12 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
((SLONG *) p)[1] = ((SLONG *) q)[1];
return;
}
- *(SQUAD *) p = CVT_get_quad(from, (SSHORT) to->dsc_scale, cb->err);
+ *(SQUAD *) p = CVT_get_quad(from, (SSHORT) to->dsc_scale, decSt, cb->err);
return;
case dtype_real:
{
- double d_value = CVT_get_double(from, cb->err);
+ double d_value = CVT_get_double(from, decSt, cb->err);
if (ABSOLUT(d_value) > FLOAT_MAX)
cb->err(Arg::Gds(isc_arith_except) << Arg::Gds(isc_numeric_out_of_range));
*(float*) p = (float) d_value;
@@ -1736,7 +1824,7 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
{
USHORT strtype_unused;
UCHAR* ptr;
- USHORT len = CVT_get_string_ptr_common(from, &strtype_unused, &ptr, NULL, 0, cb);
+ USHORT len = CVT_get_string_ptr_common(from, &strtype_unused, &ptr, NULL, 0, decSt, cb);
if (len == to->dsc_length)
{
@@ -1751,14 +1839,22 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
case DEFAULT_DOUBLE:
#ifdef HPUX
{
- const double d_value = CVT_get_double(from, cb->err);
+ const double d_value = CVT_get_double(from, decSt, cb->err);
memcpy(p, &d_value, sizeof(double));
}
#else
- *(double*) p = CVT_get_double(from, cb->err);
+ *(double*) p = CVT_get_double(from, decSt, cb->err);
#endif
return;
+ case dtype_dec64:
+ *((Decimal64*) p) = CVT_get_dec64(from, decSt, cb->err);
+ return;
+
+ case dtype_dec128:
+ *((Decimal128*) p) = CVT_get_dec128(from, decSt, cb->err);
+ return;
+
case dtype_boolean:
switch (from->dsc_dtype)
{
@@ -1779,6 +1875,8 @@ void CVT_move_common(const dsc* from, dsc* to, Callbacks* cb)
case dtype_quad:
case dtype_real:
case dtype_double:
+ case dtype_dec64:
+ case dtype_dec128:
CVT_conversion_error(from, cb->err);
break;
}
@@ -1832,7 +1930,7 @@ void CVT_conversion_error(const dsc* desc, ErrorFunction err)
const char* p;
VaryStr<128> s;
const USHORT length =
- CVT_make_string(desc, ttype_ascii, &p, &s, sizeof(s), localError);
+ CVT_make_string(desc, ttype_ascii, &p, &s, sizeof(s), 0, localError);
message.assign(p, length);
}
/*
@@ -1975,7 +2073,49 @@ static void datetime_to_text(const dsc* from, dsc* to, Callbacks* cb)
desc.dsc_length = MIN(desc.dsc_length, (to->dsc_length - l));
}
- CVT_move_common(&desc, to, cb);
+ CVT_move_common(&desc, to, 0, cb);
+}
+
+
+void CVT_make_null_string(const dsc* desc,
+ USHORT to_interp,
+ const char** address,
+ vary* temp,
+ USHORT length,
+ DecimalStatus decSt,
+ ErrorFunction err)
+{
+/**************************************
+ *
+ * C V T _ m a k e _ n u l l _ s t r i n g
+ *
+ **************************************
+ *
+ * Functional description
+ * Convert the data from the desc to a zero-terminated string.
+ * The pointer to this string is returned in address.
+ * Data always placed to temp buffer.
+ *
+ **************************************/
+ fb_assert(temp);
+
+ USHORT len = CVT_make_string(desc, to_interp, address, temp, --length, decSt, err);
+
+ if (*address != temp->vary_string)
+ {
+ length -= sizeof(USHORT); // Take into an account VaryStr specifics
+ if (len > length)
+ {
+ err(Arg::Gds(isc_arith_except) << Arg::Gds(isc_string_truncation) <<
+ Arg::Gds(isc_imp_exc) <<
+ Arg::Gds(isc_trunc_limits) << Arg::Num(length) << Arg::Num(len));
+ }
+ memcpy(temp->vary_string, *address, len);
+ temp->vary_length = len;
+ }
+
+ fb_assert(temp->vary_length == len);
+ temp->vary_string[len] = 0;
}
@@ -1984,6 +2124,7 @@ USHORT CVT_make_string(const dsc* desc,
const char** address,
vary* temp,
USHORT length,
+ DecimalStatus decSt,
ErrorFunction err)
{
/**************************************
@@ -2035,7 +2176,7 @@ USHORT CVT_make_string(const dsc* desc,
temp_desc.dsc_address = (UCHAR *) temp;
temp_desc.dsc_dtype = dtype_varying;
temp_desc.setTextType(to_interp);
- CVT_move(desc, &temp_desc, err);
+ CVT_move(desc, &temp_desc, decSt, err);
*address = temp->vary_string;
return temp->vary_length;
@@ -2305,7 +2446,7 @@ SSHORT CVT_decompose(const char* string,
USHORT CVT_get_string_ptr_common(const dsc* desc, USHORT* ttype, UCHAR** address,
- vary* temp, USHORT length, Callbacks* cb)
+ vary* temp, USHORT length, DecimalStatus decSt, Callbacks* cb)
{
/**************************************
*
@@ -2371,7 +2512,7 @@ USHORT CVT_get_string_ptr_common(const dsc* desc, USHORT* ttype, UCHAR** address
temp_desc.dsc_address = (UCHAR *) temp;
temp_desc.dsc_dtype = dtype_varying;
temp_desc.setTextType(ttype_ascii);
- CVT_move_common(desc, &temp_desc, cb);
+ CVT_move_common(desc, &temp_desc, decSt, cb);
*address = reinterpret_cast(temp->vary_string);
*ttype = INTL_TTYPE(&temp_desc);
@@ -2379,7 +2520,182 @@ USHORT CVT_get_string_ptr_common(const dsc* desc, USHORT* ttype, UCHAR** address
}
-SQUAD CVT_get_quad(const dsc* desc, SSHORT scale, ErrorFunction err)
+static inline void SINT64_to_SQUAD(const SINT64 input, const SQUAD& value)
+{
+ ((SLONG*) &value)[LOW_WORD] = (SLONG) (input & 0xffffffff);
+ ((SLONG*) &value)[HIGH_WORD] = (SLONG) (input >> 32);
+}
+
+
+Decimal64 CVT_get_dec64(const dsc* desc, DecimalStatus decSt, ErrorFunction err)
+{
+/**************************************
+ *
+ * C V T _ g e t _ d e c 6 4
+ *
+ **************************************
+ *
+ * Functional description
+ * Convert something arbitrary to a DecFloat(16) / (64 bit).
+ *
+ **************************************/
+ VaryStr<512> buffer; // long enough to represent largest decimal float in ASCII
+ Decimal64 d64;
+
+ // adjust exact numeric values to same scaling
+ int scale = 0;
+ if (DTYPE_IS_EXACT(desc->dsc_dtype))
+ scale = -desc->dsc_scale;
+
+ const char* p = reinterpret_cast(desc->dsc_address);
+
+ try
+ {
+ switch (desc->dsc_dtype)
+ {
+ case dtype_short:
+ return d64.set(*(SSHORT*) p, decSt, scale);
+
+ case dtype_long:
+ return d64.set(*(SLONG*) p, decSt, scale);
+
+ case dtype_quad:
+ return d64.set(CVT_get_int64(desc, 0, decSt, err), decSt, scale);
+
+ case dtype_int64:
+ return d64.set(*(SINT64*) p, decSt, scale);
+
+ case dtype_varying:
+ case dtype_cstring:
+ case dtype_text:
+ CVT_make_null_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer) - 1, decSt, err);
+ return d64.set(buffer.vary_string, decSt);
+
+ case dtype_blob:
+ case dtype_sql_date:
+ case dtype_sql_time:
+ case dtype_timestamp:
+ case dtype_array:
+ case dtype_dbkey:
+ case dtype_boolean:
+ CVT_conversion_error(desc, err);
+ break;
+
+ case dtype_real:
+ return d64.set(*((float*) p), decSt);
+
+ case dtype_double:
+ return d64.set(*((double*) p), decSt);
+
+ case dtype_dec64:
+ return *(Decimal64*) p;
+
+ case dtype_dec128:
+ return ((Decimal128*) p)->toDecimal64(decSt);
+
+ default:
+ fb_assert(false);
+ err(Arg::Gds(isc_badblk)); // internal error
+ break;
+ }
+ }
+ catch (const Exception& ex)
+ {
+ // reraise using passed error function
+ Arg::StatusVector v(ex);
+ err(v);
+ }
+
+ // compiler silencer
+ return d64;
+}
+
+
+Decimal128 CVT_get_dec128(const dsc* desc, DecimalStatus decSt, ErrorFunction err)
+{
+/**************************************
+ *
+ * C V T _ g e t _ d e c 1 2 8
+ *
+ **************************************
+ *
+ * Functional description
+ * Convert something arbitrary to a DecFloat(34) / (128 bit).
+ *
+ **************************************/
+ VaryStr<1024> buffer; // represents unreasonably long decfloat literal in ASCII
+ Decimal128 d128;
+
+ // adjust exact numeric values to same scaling
+ int scale = 0;
+ if (DTYPE_IS_EXACT(desc->dsc_dtype))
+ scale = -desc->dsc_scale;
+
+ const char* p = reinterpret_cast(desc->dsc_address);
+
+ try
+ {
+ switch (desc->dsc_dtype)
+ {
+ case dtype_short:
+ return d128.set(*(SSHORT*) p, decSt, scale);
+
+ case dtype_long:
+ return d128.set(*(SLONG*) p, decSt, scale);
+
+ case dtype_quad:
+ return d128.set(CVT_get_int64(desc, 0, decSt, err), decSt, scale);
+
+ case dtype_int64:
+ return d128.set(*(SINT64*) p, decSt, scale);
+
+ case dtype_varying:
+ case dtype_cstring:
+ case dtype_text:
+ CVT_make_null_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer) - 1, decSt, err);
+ return d128.set(buffer.vary_string, decSt);
+
+ case dtype_blob:
+ case dtype_sql_date:
+ case dtype_sql_time:
+ case dtype_timestamp:
+ case dtype_array:
+ case dtype_dbkey:
+ case dtype_boolean:
+ CVT_conversion_error(desc, err);
+ break;
+
+ case dtype_real:
+ return d128.set(*((float*) p), decSt);
+
+ case dtype_double:
+ return d128.set(*((double*) p), decSt);
+
+ case dtype_dec64:
+ return (d128 = (*(Decimal64*) p)); // cast to higher precision never cause rounding/traps
+
+ case dtype_dec128:
+ return *(Decimal128*) p;
+
+ default:
+ fb_assert(false);
+ err(Arg::Gds(isc_badblk)); // internal error
+ break;
+ }
+ }
+ catch (const Exception& ex)
+ {
+ // reraise using passed error function
+ Arg::StatusVector v(ex);
+ err(v);
+ }
+
+ // compiler silencer
+ return d128;
+}
+
+
+SQUAD CVT_get_quad(const dsc* desc, SSHORT scale, DecimalStatus decSt, ErrorFunction err)
{
/**************************************
*
@@ -2425,11 +2741,7 @@ SQUAD CVT_get_quad(const dsc* desc, SSHORT scale, ErrorFunction err)
break;
case dtype_int64:
- {
- const SINT64 input = *(SINT64*) p;
- ((SLONG*) &value)[LOW_WORD] = (SLONG) (input & 0xffffffff);
- ((SLONG*) &value)[HIGH_WORD] = (SLONG) (input >> 32);
- }
+ SINT64_to_SQUAD(*(SINT64*) p, value);
break;
case dtype_varying:
@@ -2437,7 +2749,7 @@ SQUAD CVT_get_quad(const dsc* desc, SSHORT scale, ErrorFunction err)
case dtype_text:
{
USHORT length =
- CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), err);
+ CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), decSt, err);
scale -= CVT_decompose(p, length, dtype_quad, &value.gds_quad_high, err);
}
break;
@@ -2452,6 +2764,11 @@ SQUAD CVT_get_quad(const dsc* desc, SSHORT scale, ErrorFunction err)
CVT_conversion_error(desc, err);
break;
+ case dtype_dec64:
+ case dtype_dec128:
+ SINT64_to_SQUAD(CVT_get_int64(desc, scale, decSt, err), value);
+ break;
+
default:
fb_assert(false);
err(Arg::Gds(isc_badblk)); // internal error
@@ -2470,7 +2787,7 @@ SQUAD CVT_get_quad(const dsc* desc, SSHORT scale, ErrorFunction err)
}
-SINT64 CVT_get_int64(const dsc* desc, SSHORT scale, ErrorFunction err)
+SINT64 CVT_get_int64(const dsc* desc, SSHORT scale, DecimalStatus decSt, ErrorFunction err)
{
/**************************************
*
@@ -2512,6 +2829,18 @@ SINT64 CVT_get_int64(const dsc* desc, SSHORT scale, ErrorFunction err)
value = (((SINT64) ((SLONG*) p)[HIGH_WORD]) << 32) + (((ULONG*) p)[LOW_WORD]);
break;
+ case dtype_dec64:
+ case dtype_dec128:
+ {
+ Decimal128 d128;
+ if (desc->dsc_dtype == dtype_dec64)
+ d128 = *((Decimal64*) p);
+ else
+ d128 = *((Decimal128*) p);
+
+ return d128.toInt64(decSt, scale);
+ }
+
case dtype_real:
case dtype_double:
if (desc->dsc_dtype == dtype_real)
@@ -2556,7 +2885,7 @@ SINT64 CVT_get_int64(const dsc* desc, SSHORT scale, ErrorFunction err)
case dtype_text:
{
USHORT length =
- CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), err);
+ CVT_make_string(desc, ttype_ascii, &p, &buffer, sizeof(buffer), decSt, err);
scale -= CVT_decompose(p, length, dtype_int64, (SLONG *) & value, err);
}
break;
@@ -2725,7 +3054,7 @@ namespace
USHORT CVT_get_string_ptr(const dsc* desc, USHORT* ttype, UCHAR** address,
- vary* temp, USHORT length, ErrorFunction err)
+ vary* temp, USHORT length, DecimalStatus decSt, ErrorFunction err)
{
/**************************************
*
@@ -2752,11 +3081,11 @@ USHORT CVT_get_string_ptr(const dsc* desc, USHORT* ttype, UCHAR** address,
fb_assert(err != NULL);
CommonCallbacks callbacks(err);
- return CVT_get_string_ptr_common(desc, ttype, address, temp, length, &callbacks);
+ return CVT_get_string_ptr_common(desc, ttype, address, temp, length, decSt, &callbacks);
}
-void CVT_move(const dsc* from, dsc* to, ErrorFunction err)
+void CVT_move(const dsc* from, dsc* to, DecimalStatus decSt, ErrorFunction err)
{
/**************************************
*
@@ -2769,5 +3098,5 @@ void CVT_move(const dsc* from, dsc* to, ErrorFunction err)
*
**************************************/
CommonCallbacks callbacks(err);
- CVT_move_common(from, to, &callbacks);
+ CVT_move_common(from, to, decSt, &callbacks);
}
diff --git a/src/common/cvt.h b/src/common/cvt.h
index f0b72bb85e..ca846413d7 100644
--- a/src/common/cvt.h
+++ b/src/common/cvt.h
@@ -29,6 +29,8 @@
#ifndef COMMON_CVT_H
#define COMMON_CVT_H
+#include "../common/DecFloat.h"
+
namespace Jrd {
class CharSet;
@@ -70,16 +72,19 @@ public:
void CVT_conversion_error(const dsc*, ErrorFunction);
double CVT_power_of_ten(const int);
-SLONG CVT_get_long(const dsc*, SSHORT, ErrorFunction);
+SLONG CVT_get_long(const dsc*, SSHORT, Firebird::DecimalStatus, ErrorFunction);
bool CVT_get_boolean(const dsc*, ErrorFunction);
-double CVT_get_double(const dsc*, ErrorFunction);
-USHORT CVT_make_string(const dsc*, USHORT, const char**, vary*, USHORT, ErrorFunction);
-void CVT_move_common(const dsc*, dsc*, Firebird::Callbacks*);
-void CVT_move(const dsc*, dsc*, ErrorFunction);
+double CVT_get_double(const dsc*, Firebird::DecimalStatus, ErrorFunction, bool* getNumericOverflow = nullptr);
+Firebird::Decimal64 CVT_get_dec64(const dsc*, Firebird::DecimalStatus, ErrorFunction);
+Firebird::Decimal128 CVT_get_dec128(const dsc*, Firebird::DecimalStatus, ErrorFunction);
+USHORT CVT_make_string(const dsc*, USHORT, const char**, vary*, USHORT, Firebird::DecimalStatus, ErrorFunction);
+void CVT_make_null_string(const dsc*, USHORT, const char**, vary*, USHORT, Firebird::DecimalStatus, ErrorFunction);
+void CVT_move_common(const dsc*, dsc*, Firebird::DecimalStatus, Firebird::Callbacks*);
+void CVT_move(const dsc*, dsc*, Firebird::DecimalStatus, ErrorFunction);
SSHORT CVT_decompose(const char*, USHORT, SSHORT, SLONG*, ErrorFunction);
-USHORT CVT_get_string_ptr(const dsc*, USHORT*, UCHAR**, vary*, USHORT, ErrorFunction);
-USHORT CVT_get_string_ptr_common(const dsc*, USHORT*, UCHAR**, vary*, USHORT, Firebird::Callbacks*);
-SINT64 CVT_get_int64(const dsc*, SSHORT, ErrorFunction);
-SQUAD CVT_get_quad(const dsc*, SSHORT, ErrorFunction);
+USHORT CVT_get_string_ptr(const dsc*, USHORT*, UCHAR**, vary*, USHORT, Firebird::DecimalStatus, ErrorFunction);
+USHORT CVT_get_string_ptr_common(const dsc*, USHORT*, UCHAR**, vary*, USHORT, Firebird::DecimalStatus, Firebird::Callbacks*);
+SINT64 CVT_get_int64(const dsc*, SSHORT, Firebird::DecimalStatus, ErrorFunction);
+SQUAD CVT_get_quad(const dsc*, SSHORT, Firebird::DecimalStatus, ErrorFunction);
#endif //COMMON_CVT_H
diff --git a/src/common/dsc.cpp b/src/common/dsc.cpp
index cb1a365cba..d4b7da2157 100644
--- a/src/common/dsc.cpp
+++ b/src/common/dsc.cpp
@@ -64,7 +64,9 @@ static const USHORT _DSC_convert_to_text_length[DTYPE_TYPE_MAX] =
9, // dtype_array FFFF:FFFF
20, // dtype_int64 -9223372036854775808
0, // dtype_dbkey
- 5 // dtype_boolean
+ 5, // dtype_boolean
+ 23, // dtype_dec64 1 + 1 + 1 + 1 + 16(34) + 3(4)
+ 42 // dtype_dec128 +- . e +- coeff + exp
};
// blr to dsc type conversions
@@ -89,7 +91,9 @@ static const USHORT DSC_blr_type_mapping[] =
blr_blob,
blr_int64,
blr_null,
- blr_bool
+ blr_bool,
+ blr_dec64,
+ blr_dec128
};
// Unimplemented names are in lowercase &
@@ -117,7 +121,9 @@ static const TEXT* const DSC_dtype_names[] =
"ARRAY",
"BIGINT",
"DB_KEY",
- "BOOLEAN"
+ "BOOLEAN",
+ "DECFLOAT(16)",
+ "DECFLOAT(34)"
};
@@ -130,12 +136,12 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
{
/*
- dtype_unknown dtype_text dtype_cstring dtype_varying
- 4 (unused) 5 (unused) dtype_packed dtype_byte
- dtype_short dtype_long dtype_quad dtype_real
+ dtype_unknown dtype_text dtype_cstring dtype_varying
+ 4 (unused) 5 (unused) dtype_packed dtype_byte
+ dtype_short dtype_long dtype_quad dtype_real
dtype_double dtype_d_float dtype_sql_date dtype_sql_time
- dtype_timestamp dtype_blob dtype_array dtype_int64
- dtype_dbkey, dtype_boolean
+ dtype_timestamp dtype_blob dtype_array dtype_int64
+ dtype_dbkey dtype_boolean dtype_dec64 dtype_dec128
*/
// dtype_unknown
@@ -144,7 +150,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_unknown, dtype_unknown, DTYPE_CANNOT, dtype_unknown,
dtype_unknown, dtype_unknown, dtype_unknown, dtype_unknown,
dtype_unknown, DTYPE_CANNOT, DTYPE_CANNOT, dtype_unknown,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_unknown, dtype_unknown},
// dtype_text
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -152,7 +158,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_cstring
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -160,7 +166,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_varying
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -168,7 +174,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// 4 (unused)
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -176,7 +182,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// 5 (unused)
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -184,7 +190,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_packed
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -192,7 +198,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_byte
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -200,7 +206,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_short
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -208,7 +214,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_int64, dtype_int64, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, dtype_sql_date, dtype_sql_time,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_int64,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_long
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -216,7 +222,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_int64, dtype_int64, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, dtype_sql_date, dtype_sql_time,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_int64,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_quad
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -224,7 +230,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_real
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -232,7 +238,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, dtype_sql_date, dtype_sql_time,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_double, dtype_double},
// dtype_double
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -240,7 +246,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, dtype_sql_date, dtype_sql_time,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_double, dtype_double},
// dtype_d_float -- VMS deprecated
{dtype_unknown, dtype_d_float, dtype_d_float, dtype_d_float,
@@ -248,7 +254,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_d_float, dtype_d_float, DTYPE_CANNOT, dtype_d_float,
dtype_d_float, dtype_d_float, dtype_sql_date, dtype_sql_time,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_d_float,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_d_float, dtype_d_float},
// dtype_sql_date
{dtype_unknown, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -256,7 +262,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_sql_date, dtype_sql_date, DTYPE_CANNOT, dtype_sql_date,
dtype_sql_date, dtype_sql_date, DTYPE_CANNOT, dtype_timestamp,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_sql_date,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_sql_date, dtype_sql_date},
// dtype_sql_time
{dtype_unknown, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -264,7 +270,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_sql_time, dtype_sql_time, DTYPE_CANNOT, dtype_sql_time,
dtype_sql_time, dtype_sql_time, dtype_timestamp, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_sql_time,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_sql_time, dtype_sql_time},
// dtype_timestamp
{dtype_unknown, dtype_timestamp, dtype_timestamp, dtype_timestamp,
@@ -272,7 +278,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_timestamp, dtype_timestamp, DTYPE_CANNOT, dtype_timestamp,
dtype_timestamp, dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_timestamp,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_timestamp, dtype_timestamp},
// dtype_blob
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -280,7 +286,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_array
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -288,7 +294,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_int64
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -296,7 +302,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_int64, dtype_int64, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, dtype_sql_date, dtype_sql_time,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_int64,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_dbkey
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -304,7 +310,7 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_boolean
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -312,7 +318,23 @@ const BYTE DSC_add_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT}
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
+
+ // dtype_dec64
+ {dtype_unknown, dtype_dec128, dtype_dec128, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
+ dtype_dec128, dtype_dec128, DTYPE_CANNOT, dtype_double,
+ dtype_double, dtype_d_float, dtype_sql_date, dtype_sql_time,
+ dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
+
+ // dtype_dec128
+ {dtype_unknown, dtype_dec128, dtype_dec128, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
+ dtype_dec128, dtype_dec128, DTYPE_CANNOT, dtype_double,
+ dtype_double, dtype_d_float, dtype_sql_date, dtype_sql_time,
+ dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128}
};
@@ -325,12 +347,12 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
{
/*
- dtype_unknown dtype_text dtype_cstring dtype_varying
- 4 (unused) 5 (unused) dtype_packed dtype_byte
- dtype_short dtype_long dtype_quad dtype_real
+ dtype_unknown dtype_text dtype_cstring dtype_varying
+ 4 (unused) 5 (unused) dtype_packed dtype_byte
+ dtype_short dtype_long dtype_quad dtype_real
dtype_double dtype_d_float dtype_sql_date dtype_sql_time
- dtype_timestamp dtype_blob dtype_array dtype_int64
- dtype_dbkey, dtype_boolean
+ dtype_timestamp dtype_blob dtype_array dtype_int64
+ dtype_dbkey dtype_boolean dtype_dec64 dtype_dec128
*/
// dtype_unknown
@@ -339,7 +361,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_unknown, dtype_unknown, DTYPE_CANNOT, dtype_unknown,
dtype_unknown, dtype_unknown, dtype_unknown, dtype_unknown,
dtype_unknown, DTYPE_CANNOT, DTYPE_CANNOT, dtype_unknown,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_unknown, dtype_unknown},
// dtype_text
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -347,7 +369,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_cstring
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -355,7 +377,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_varying
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -363,7 +385,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// 4 (unused)
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -371,7 +393,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// 5 (unused)
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -379,7 +401,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_packed
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -387,7 +409,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_byte
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -395,7 +417,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_short
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -403,7 +425,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_int64, dtype_int64, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_int64,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_long
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -411,7 +433,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_int64, dtype_int64, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_int64,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_quad
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -419,7 +441,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_real
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -427,7 +449,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_double, dtype_double},
// dtype_double
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -435,7 +457,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_double, dtype_double},
// dtype_d_float -- VMS deprecated
{dtype_unknown, dtype_d_float, dtype_d_float, dtype_d_float,
@@ -443,7 +465,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_d_float, dtype_d_float, DTYPE_CANNOT, dtype_d_float,
dtype_d_float, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_d_float,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_d_float, dtype_d_float},
// dtype_sql_date
{dtype_unknown, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -451,7 +473,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_sql_date, dtype_sql_date, DTYPE_CANNOT, dtype_sql_date,
dtype_sql_date, dtype_sql_date, dtype_long, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_sql_date,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_sql_date, dtype_sql_date},
// dtype_sql_time
{dtype_unknown, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -459,7 +481,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_sql_time, dtype_sql_time, DTYPE_CANNOT, dtype_sql_time,
dtype_sql_time, dtype_sql_time, DTYPE_CANNOT, dtype_long,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_sql_time,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_sql_time, dtype_sql_time},
// dtype_timestamp
{dtype_unknown, dtype_timestamp, dtype_timestamp, dtype_timestamp,
@@ -467,7 +489,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_timestamp, dtype_timestamp, DTYPE_CANNOT, dtype_timestamp,
dtype_timestamp, dtype_timestamp, DTYPE_CANNOT, DTYPE_CANNOT,
dtype_double, DTYPE_CANNOT, DTYPE_CANNOT, dtype_timestamp,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_timestamp, dtype_timestamp},
// dtype_blob
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -475,7 +497,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_array
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -483,7 +505,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_int64
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -491,7 +513,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_int64, dtype_int64, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_int64,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_dbkey
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -499,7 +521,7 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_boolean
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -507,7 +529,24 @@ const BYTE DSC_sub_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT}
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
+
+ // dtype_dec64
+ {dtype_unknown, dtype_dec128, dtype_dec128, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
+ dtype_dec128, dtype_dec128, DTYPE_CANNOT, dtype_double,
+ dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
+
+ // dtype_dec128
+ {dtype_unknown, dtype_dec128, dtype_dec128, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
+ dtype_dec128, dtype_dec128, DTYPE_CANNOT, dtype_double,
+ dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128}
+
};
@@ -520,12 +559,12 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
{
/*
- dtype_unknown dtype_text dtype_cstring dtype_varying
- 4 (unused) 5 (unused) dtype_packed dtype_byte
- dtype_short dtype_long dtype_quad dtype_real
+ dtype_unknown dtype_text dtype_cstring dtype_varying
+ 4 (unused) 5 (unused) dtype_packed dtype_byte
+ dtype_short dtype_long dtype_quad dtype_real
dtype_double dtype_d_float dtype_sql_date dtype_sql_time
- dtype_timestamp dtype_blob dtype_array dtype_int64
- dtype_dbkey, dtype_boolean
+ dtype_timestamp dtype_blob dtype_array dtype_int64
+ dtype_dbkey dtype_boolean dtype_dec64 dtype_dec128
*/
// dtype_unknown
@@ -534,7 +573,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_unknown, dtype_unknown, DTYPE_CANNOT, dtype_unknown,
dtype_unknown, dtype_unknown, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_unknown,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_unknown, dtype_unknown},
// dtype_text
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -542,7 +581,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_cstring
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -550,7 +589,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_varying
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -558,7 +597,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// 4 (unused)
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -566,7 +605,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// 5 (unused)
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -574,7 +613,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_packed
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -582,7 +621,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_byte
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -590,7 +629,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_short
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -598,7 +637,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_int64, dtype_int64, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_int64,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_long
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -606,7 +645,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_int64, dtype_int64, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_int64,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_quad
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -614,7 +653,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_real
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -622,7 +661,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_double, dtype_double},
// dtype_double
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -630,7 +669,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_double, dtype_double},
// dtype_d_float -- VMS deprecated
{dtype_unknown, dtype_d_float, dtype_d_float, dtype_d_float,
@@ -638,7 +677,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_d_float, dtype_d_float, DTYPE_CANNOT, dtype_d_float,
dtype_d_float, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_d_float,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_d_float, dtype_d_float},
// dtype_sql_date
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -646,7 +685,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_sql_time
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -654,7 +693,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_timestamp
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -662,7 +701,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_blob
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -670,7 +709,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_array
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -678,7 +717,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_int64
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -686,7 +725,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_int64, dtype_int64, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_int64,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_dbkey
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -694,7 +733,7 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_boolean
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -702,7 +741,23 @@ const BYTE DSC_multiply_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT}
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
+
+ // dtype_dec64
+ {dtype_unknown, dtype_dec128, dtype_dec128, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
+ dtype_dec128, dtype_dec128, DTYPE_CANNOT, dtype_double,
+ dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
+
+ // dtype_dec128
+ {dtype_unknown, dtype_dec128, dtype_dec128, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
+ dtype_dec128, dtype_dec128, DTYPE_CANNOT, dtype_double,
+ dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128}
};
@@ -715,12 +770,12 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
{
/*
- dtype_unknown dtype_text dtype_cstring dtype_varying
- 4 (unused) 5 (unused) dtype_packed dtype_byte
- dtype_short dtype_long dtype_quad dtype_real
+ dtype_unknown dtype_text dtype_cstring dtype_varying
+ 4 (unused) 5 (unused) dtype_packed dtype_byte
+ dtype_short dtype_long dtype_quad dtype_real
dtype_double dtype_d_float dtype_sql_date dtype_sql_time
- dtype_timestamp dtype_blob dtype_array dtype_int64
- dtype_dbkey, dtype_boolean
+ dtype_timestamp dtype_blob dtype_array dtype_int64
+ dtype_dbkey dtype_boolean dtype_dec64 dtype_dec128
*/
// dtype_unknown
@@ -729,7 +784,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_unknown, dtype_unknown, DTYPE_CANNOT, dtype_unknown,
dtype_unknown, dtype_unknown, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_unknown,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_unknown, dtype_unknown},
// dtype_text
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -737,7 +792,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_cstring
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -745,7 +800,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_varying
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -753,7 +808,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// 4 (unused)
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -761,7 +816,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// 5 (unused)
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -769,7 +824,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_packed
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -777,7 +832,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_byte
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -785,7 +840,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_short
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -793,7 +848,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_long, dtype_long, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_long
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -801,7 +856,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_long, dtype_long, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_quad
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -809,7 +864,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_real
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -817,7 +872,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_double, dtype_double},
// dtype_double
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -825,7 +880,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_double, dtype_double},
// dtype_d_float -- VMS deprecated
{dtype_unknown, dtype_d_float, dtype_d_float, dtype_d_float,
@@ -833,7 +888,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_d_float, dtype_d_float, DTYPE_CANNOT, dtype_d_float,
dtype_d_float, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_d_float,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_d_float, dtype_d_float},
// dtype_sql_date
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -841,7 +896,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_sql_time
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -849,7 +904,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_timestamp
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -857,7 +912,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_blob
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -865,7 +920,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_array
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -873,7 +928,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_int64
{dtype_unknown, dtype_double, dtype_double, dtype_double,
@@ -881,7 +936,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
dtype_double, dtype_double, DTYPE_CANNOT, dtype_double,
dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_double,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
// dtype_dbkey
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -889,7 +944,7 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT},
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
// dtype_boolean
{DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
@@ -897,7 +952,23 @@ const BYTE DSC_multiply_blr4_result[DTYPE_TYPE_MAX][DTYPE_TYPE_MAX] =
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
- DTYPE_CANNOT, DTYPE_CANNOT}
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT},
+
+ // dtype_dec64
+ {dtype_unknown, dtype_dec128, dtype_dec128, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
+ dtype_dec128, dtype_dec128, DTYPE_CANNOT, dtype_double,
+ dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128},
+
+ // dtype_dec128
+ {dtype_unknown, dtype_dec128, dtype_dec128, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT,
+ dtype_dec128, dtype_dec128, DTYPE_CANNOT, dtype_double,
+ dtype_double, dtype_d_float, DTYPE_CANNOT, DTYPE_CANNOT,
+ DTYPE_CANNOT, DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128,
+ DTYPE_CANNOT, DTYPE_CANNOT, dtype_dec128, dtype_dec128}
};
@@ -1003,6 +1074,16 @@ bool DSC_make_descriptor(DSC* desc,
desc->dsc_dtype = dtype_double;
break;
+ case blr_dec64:
+ desc->dsc_length = sizeof(Decimal64);
+ desc->dsc_dtype = dtype_dec64;
+ break;
+
+ case blr_dec128:
+ desc->dsc_length = sizeof(Decimal128);
+ desc->dsc_dtype = dtype_dec128;
+ break;
+
case blr_timestamp:
desc->dsc_length = 2 * sizeof(SLONG);
desc->dsc_dtype = dtype_timestamp;
@@ -1164,6 +1245,10 @@ const char* dsc::typeToText() const
return "dbkey";
case dtype_boolean:
return "boolean";
+ case dtype_dec64:
+ return "decfloat(16)";
+ case dtype_dec128:
+ return "decfloat(34)";
default:
return "out of range";
}
@@ -1252,6 +1337,16 @@ void dsc::getSqlInfo(SLONG* sqlLength, SLONG* sqlSubType, SLONG* sqlScale, SLONG
*sqlType = SQL_BOOLEAN;
break;
+ case dtype_dec64:
+ *sqlType = SQL_DEC16;
+ *sqlScale = 0;
+ break;
+
+ case dtype_dec128:
+ *sqlType = SQL_DEC34;
+ *sqlScale = 0;
+ break;
+
default:
status_exception::raise(
Arg::Gds(isc_sqlerr) << Arg::Num(-804) <<
diff --git a/src/common/dsc.h b/src/common/dsc.h
index d2eb5a196e..29e77d16c4 100644
--- a/src/common/dsc.h
+++ b/src/common/dsc.h
@@ -31,6 +31,7 @@
#include "consts_pub.h"
#include "../jrd/ods.h"
#include "../intl/charsets.h"
+#include "../common/DecFloat.h"
// Data type information
@@ -67,9 +68,14 @@ inline bool DTYPE_IS_APPROX(UCHAR d)
return d == dtype_double || d == dtype_real;
}
+inline bool DTYPE_IS_DECFLOAT(UCHAR d)
+{
+ return d == dtype_dec128 || d == dtype_dec64;
+}
+
inline bool DTYPE_IS_NUMERIC(UCHAR d)
{
- return (d >= dtype_byte && d <= dtype_d_float) || d == dtype_int64;
+ return (d >= dtype_byte && d <= dtype_d_float) || d == dtype_int64 || DTYPE_IS_DECFLOAT(d);
}
// Descriptor format
@@ -155,6 +161,21 @@ typedef struct dsc
return dsc_dtype >= dtype_sql_date && dsc_dtype <= dtype_timestamp;
}
+ bool isDecFloat() const
+ {
+ return DTYPE_IS_DECFLOAT(dsc_dtype);
+ }
+
+ bool isDecOrInt() const
+ {
+ return isDecFloat() || isExact();
+ }
+
+ bool isApprox() const
+ {
+ return DTYPE_IS_APPROX(dsc_dtype);
+ }
+
bool isUnknown() const
{
return dsc_dtype == dtype_unknown;
@@ -259,6 +280,22 @@ typedef struct dsc
dsc_address = (UCHAR*) address;
}
+ void makeDecimal64(Firebird::Decimal64* address = NULL)
+ {
+ clear();
+ dsc_dtype = dtype_dec64;
+ dsc_length = sizeof(Firebird::Decimal64);
+ dsc_address = (UCHAR*) address;
+ }
+
+ void makeDecimal128(Firebird::Decimal128* address = NULL)
+ {
+ clear();
+ dsc_dtype = dtype_dec128;
+ dsc_length = sizeof(Firebird::Decimal128);
+ dsc_address = (UCHAR*) address;
+ }
+
void makeInt64(SCHAR scale, SINT64* address = NULL)
{
clear();
diff --git a/src/common/dsc_pub.h b/src/common/dsc_pub.h
index 6589b4d09b..57bf375a8a 100644
--- a/src/common/dsc_pub.h
+++ b/src/common/dsc_pub.h
@@ -61,7 +61,9 @@
#define dtype_int64 19
#define dtype_dbkey 20
#define dtype_boolean 21
-#define DTYPE_TYPE_MAX 22
+#define dtype_dec64 22
+#define dtype_dec128 23
+#define DTYPE_TYPE_MAX 24
#define ISC_TIME_SECONDS_PRECISION 10000
#define ISC_TIME_SECONDS_PRECISION_SCALE (-4)
diff --git a/src/common/sdl.cpp b/src/common/sdl.cpp
index e935a7583a..e813bc0896 100644
--- a/src/common/sdl.cpp
+++ b/src/common/sdl.cpp
@@ -845,6 +845,16 @@ static const UCHAR* sdl_desc(const UCHAR* ptr, DSC* desc)
desc->dsc_length = sizeof(double);
break;
+ case blr_dec64:
+ desc->dsc_dtype = dtype_dec64;
+ desc->dsc_length = sizeof(Decimal64);
+ break;
+
+ case blr_dec128:
+ desc->dsc_dtype = dtype_dec128;
+ desc->dsc_length = sizeof(Decimal128);
+ break;
+
case blr_timestamp:
desc->dsc_dtype = dtype_timestamp;
desc->dsc_length = sizeof(ISC_QUAD);
diff --git a/src/common/utils.cpp b/src/common/utils.cpp
index 0e06968a7b..76c8cd1758 100644
--- a/src/common/utils.cpp
+++ b/src/common/utils.cpp
@@ -1480,89 +1480,66 @@ void logAndDie(const char* text)
#endif
}
+UCHAR sqlTypeToDscType(SSHORT sqlType)
+{
+ switch (sqlType)
+ {
+ case SQL_VARYING:
+ return dtype_varying;
+ case SQL_TEXT:
+ return dtype_text;
+ case SQL_NULL:
+ return dtype_text;
+ case SQL_DOUBLE:
+ return dtype_double;
+ case SQL_FLOAT:
+ return dtype_real;
+ case SQL_D_FLOAT:
+ return dtype_d_float;
+ case SQL_TYPE_DATE:
+ return dtype_sql_date;
+ case SQL_TYPE_TIME:
+ return dtype_sql_time;
+ case SQL_TIMESTAMP:
+ return dtype_timestamp;
+ case SQL_BLOB:
+ return dtype_blob;
+ case SQL_ARRAY:
+ return dtype_array;
+ case SQL_LONG:
+ return dtype_long;
+ case SQL_SHORT:
+ return dtype_short;
+ case SQL_INT64:
+ return dtype_int64;
+ case SQL_QUAD:
+ return dtype_quad;
+ case SQL_BOOLEAN:
+ return dtype_boolean;
+ case SQL_DEC16:
+ return dtype_dec64;
+ case SQL_DEC34:
+ return dtype_dec128;
+ default:
+ return dtype_unknown;
+ }
+}
+
unsigned sqlTypeToDsc(unsigned runOffset, unsigned sqlType, unsigned sqlLength,
unsigned* dtype, unsigned* len, unsigned* offset, unsigned* nullOffset)
{
sqlType &= ~1;
- unsigned dscType;
+ unsigned dscType = sqlTypeToDscType(sqlType);
- switch (sqlType)
+ if (dscType == dtype_unknown)
{
- case SQL_VARYING:
- dscType = dtype_varying;
- break;
-
- case SQL_TEXT:
- dscType = dtype_text;
- break;
-
- case SQL_DOUBLE:
- dscType = dtype_double;
- break;
-
- case SQL_FLOAT:
- dscType = dtype_real;
- break;
-
- case SQL_D_FLOAT:
- dscType = dtype_d_float;
- break;
-
- case SQL_TYPE_DATE:
- dscType = dtype_sql_date;
- break;
-
- case SQL_TYPE_TIME:
- dscType = dtype_sql_time;
- break;
-
- case SQL_TIMESTAMP:
- dscType = dtype_timestamp;
- break;
-
- case SQL_BLOB:
- dscType = dtype_blob;
- break;
-
- case SQL_ARRAY:
- dscType = dtype_array;
- break;
-
- case SQL_LONG:
- dscType = dtype_long;
- break;
-
- case SQL_SHORT:
- dscType = dtype_short;
- break;
-
- case SQL_INT64:
- dscType = dtype_int64;
- break;
-
- case SQL_QUAD:
- dscType = dtype_quad;
- break;
-
- case SQL_BOOLEAN:
- dscType = dtype_boolean;
- break;
-
- case SQL_NULL:
- dscType = dtype_text;
- break;
-
- default:
fb_assert(false);
// keep old yvalve logic
dscType = sqlType;
- break;
}
if (dtype)
- {
*dtype = dscType;
- }
if (sqlType == SQL_VARYING)
sqlLength += sizeof(USHORT);
diff --git a/src/common/utils_proto.h b/src/common/utils_proto.h
index 6acfa9e63d..e92efb5abe 100644
--- a/src/common/utils_proto.h
+++ b/src/common/utils_proto.h
@@ -184,6 +184,9 @@ namespace fb_utils
void logAndDie(const char* text);
+ // On incorrect sqlType returns dsc_unknown
+ UCHAR sqlTypeToDscType(SSHORT sqlType);
+
// Returns next offset value
unsigned sqlTypeToDsc(unsigned prevOffset, unsigned sqlType, unsigned sqlLength,
unsigned* dtype, unsigned* len, unsigned* offset, unsigned* nullOffset);
diff --git a/src/common/xdr.cpp b/src/common/xdr.cpp
index 1dfff76e99..48cf627d7e 100644
--- a/src/common/xdr.cpp
+++ b/src/common/xdr.cpp
@@ -30,6 +30,7 @@
#include "../common/xdr_proto.h"
#include "../yvalve/gds_proto.h"
#include "../common/gdsassert.h"
+#include "../common/DecFloat.h"
inline UCHAR* XDR_ALLOC(ULONG size)
{
@@ -104,7 +105,7 @@ bool_t xdr_hyper( XDR* xdrs, void* pi64)
{
/**************************************
*
- * x d r _ h y p e r ( n o n - S O L A R I S )
+ * x d r _ h y p e r
*
**************************************
*
@@ -112,13 +113,6 @@ bool_t xdr_hyper( XDR* xdrs, void* pi64)
* Map a 64-bit Integer from external to internal representation
* (or vice versa).
*
- * Enable this for all platforms except Solaris (since it is
- * available in the XDR library on Solaris). This function (normally)
- * would have been implemented in REMOTE/xdr.c. Since some system
- * XDR libraries (HP-UX) do not implement this function, we have it
- * in this module. At a later date, when the function is available
- * on all platforms, we can start using the system-provided version.
- *
* Handles "swapping" of the 2 long's to be "Endian" sensitive.
*
**************************************/
@@ -259,6 +253,18 @@ bool_t xdr_datum( XDR* xdrs, const dsc* desc, UCHAR* buffer)
return FALSE;
break;
+ case dtype_dec64:
+ fb_assert(desc->dsc_length >= sizeof(Firebird::Decimal64));
+ if (!xdr_dec64(xdrs, reinterpret_cast(p)))
+ return FALSE;
+ break;
+
+ case dtype_dec128:
+ fb_assert(desc->dsc_length >= sizeof(Firebird::Decimal128));
+ if (!xdr_dec128(xdrs, reinterpret_cast(p)))
+ return FALSE;
+ break;
+
case dtype_timestamp:
fb_assert(desc->dsc_length >= 2 * sizeof(SLONG));
if (!xdr_long(xdrs, &((SLONG*) p)[0]))
@@ -337,6 +343,25 @@ bool_t xdr_double(XDR* xdrs, double* ip)
}
+bool_t xdr_dec64(XDR* xdrs, Firebird::Decimal64* ip)
+{
+ return xdr_hyper(xdrs, ip->getBytes());
+}
+
+
+bool_t xdr_dec128(XDR* xdrs, Firebird::Decimal128* ip)
+{
+ UCHAR* bytes = ip->getBytes();
+
+#ifndef WORDS_BIGENDIAN
+ return xdr_hyper(xdrs, &bytes[8]) && xdr_hyper(xdrs, &bytes[0]);
+#else
+ fb_assert(false); // Dec64/128 XDR not tested on bigendians!
+ return xdr_hyper(xdrs, &bytes[0]) && xdr_hyper(xdrs, &bytes[8]);
+#endif
+}
+
+
bool_t xdr_enum(XDR* xdrs, xdr_op* ip)
{
/**************************************
diff --git a/src/common/xdr_proto.h b/src/common/xdr_proto.h
index 0e063b2395..b9387e5363 100644
--- a/src/common/xdr_proto.h
+++ b/src/common/xdr_proto.h
@@ -27,12 +27,10 @@
#include "../common/dsc.h"
#include "../common/xdr.h"
-// 15 Jan 2003. Nickolay Samofatov
-// Functions below need to have C++ linkage to avoid name clash with
-// standard XDR. Firebird XDR is NOT compatible with Sun XDR at interface level
-
bool_t xdr_datum(XDR*, const dsc*, UCHAR*);
bool_t xdr_double(XDR*, double*);
+bool_t xdr_dec64(XDR*, Firebird::Decimal64*);
+bool_t xdr_dec128(XDR*, Firebird::Decimal128*);
bool_t xdr_enum(XDR*, xdr_op*);
bool_t xdr_float(XDR*, float*);
bool_t xdr_int(XDR*, int*);
diff --git a/src/dsql/AggNodes.cpp b/src/dsql/AggNodes.cpp
index f290728268..c095a0bc2b 100644
--- a/src/dsql/AggNodes.cpp
+++ b/src/dsql/AggNodes.cpp
@@ -281,7 +281,7 @@ bool AggNode::dsqlMatch(const ExprNode* other, bool ignoreMapCast) const
if (!ExprNode::dsqlMatch(other, ignoreMapCast))
return false;
- const AggNode* o = other->as();
+ const AggNode* o = nodeAs(other);
fb_assert(o);
// ASF: We compare name address. That should be ok, as we have only one AggInfo instance
@@ -385,7 +385,7 @@ bool AggNode::aggPass(thread_db* tdbb, jrd_req* request) const
to.dsc_sub_type = 0;
to.dsc_scale = 0;
to.dsc_ttype() = ttype_sort_key;
- to.dsc_length = asb->keyItems[0].skd_length;
+ to.dsc_length = asb->keyItems[0].getSkdLength();
to.dsc_address = data;
INTL_string_to_key(tdbb, INTL_TEXT_TO_INDEX(desc->getTextType()),
desc, &to, INTL_KEY_UNIQUE);
@@ -393,7 +393,7 @@ bool AggNode::aggPass(thread_db* tdbb, jrd_req* request) const
dsc toDesc = asb->desc;
toDesc.dsc_address = data +
- (asb->intl ? asb->keyItems[1].skd_offset : 0);
+ (asb->intl ? asb->keyItems[1].getSkdOffset() : 0);
MOV_move(tdbb, desc, &toDesc);
// dimitr: Here we add a monotonically increasing value to the sort record.
@@ -455,7 +455,7 @@ dsc* AggNode::execute(thread_db* tdbb, jrd_req* request) const
break;
}
- desc.dsc_address = data + (asb->intl ? asb->keyItems[1].skd_offset : 0);
+ desc.dsc_address = data + (asb->intl ? asb->keyItems[1].getSkdOffset() : 0);
aggPass(tdbb, request, &desc);
}
@@ -494,7 +494,12 @@ void AvgAggNode::make(DsqlCompilerScratch* dsqlScratch, dsc* desc)
if (desc->isNull())
return;
- if (dialect1)
+ if (DTYPE_IS_DECFLOAT(desc->dsc_dtype))
+ {
+ desc->dsc_dtype = dtype_dec128;
+ desc->dsc_length = sizeof(Decimal128);
+ }
+ else if (dialect1)
{
if (!DTYPE_IS_NUMERIC(desc->dsc_dtype) && !DTYPE_IS_TEXT(desc->dsc_dtype))
{
@@ -531,6 +536,17 @@ void AvgAggNode::getDesc(thread_db* tdbb, CompilerScratch* csb, dsc* desc)
{
arg->getDesc(tdbb, csb, desc);
+ if (DTYPE_IS_DECFLOAT(desc->dsc_dtype))
+ {
+ desc->dsc_dtype = dtype_dec128;
+ desc->dsc_length = sizeof(Decimal128);
+ desc->dsc_scale = 0;
+ desc->dsc_sub_type = 0;
+ desc->dsc_flags = 0;
+ nodFlags |= FLAG_DECFLOAT;
+ return;
+ }
+
if (dialect1)
{
if (!(DTYPE_IS_NUMERIC(desc->dsc_dtype) || DTYPE_IS_TEXT(desc->dsc_dtype)))
@@ -601,7 +617,7 @@ AggNode* AvgAggNode::pass2(thread_db* tdbb, CompilerScratch* csb)
{
AggNode::pass2(tdbb, csb);
- if (dialect1)
+ if (dialect1 && !(nodFlags & FLAG_DECFLOAT))
nodFlags |= FLAG_DOUBLE;
// We need a second descriptor in the impure area for AVG.
@@ -659,15 +675,23 @@ dsc* AvgAggNode::aggExecute(thread_db* tdbb, jrd_req* request) const
dsc temp;
SINT64 i;
double d;
+ Decimal128 dec;
if (!dialect1 && impure->vlu_desc.dsc_dtype == dtype_int64)
{
i = *((SINT64*) impure->vlu_desc.dsc_address) / impure->vlux_count;
temp.makeInt64(impure->vlu_desc.dsc_scale, &i);
}
+ else if (DTYPE_IS_DECFLOAT(impure->vlu_desc.dsc_dtype))
+ {
+ DecimalStatus decSt = tdbb->getAttachment()->att_dec_status;
+ dec.set(impure->vlux_count, decSt, 0);
+ dec = MOV_get_dec128(tdbb, &impure->vlu_desc).div(decSt, dec);
+ temp.makeDecimal128(&dec);
+ }
else
{
- d = MOV_get_double(&impure->vlu_desc) / impure->vlux_count;
+ d = MOV_get_double(tdbb, &impure->vlu_desc) / impure->vlux_count;
temp.makeDouble(&d);
}
@@ -961,7 +985,12 @@ void SumAggNode::make(DsqlCompilerScratch* dsqlScratch, dsc* desc)
if (desc->isNull())
return;
- if (dialect1)
+ if (DTYPE_IS_DECFLOAT(desc->dsc_dtype))
+ {
+ desc->dsc_dtype = dtype_dec128;
+ desc->dsc_length = sizeof(Decimal128);
+ }
+ else if (dialect1)
{
if (!DTYPE_IS_NUMERIC(desc->dsc_dtype) && !DTYPE_IS_TEXT(desc->dsc_dtype))
{
@@ -1008,6 +1037,16 @@ void SumAggNode::getDesc(thread_db* tdbb, CompilerScratch* csb, dsc* desc)
{
arg->getDesc(tdbb, csb, desc);
+ if (DTYPE_IS_DECFLOAT(desc->dsc_dtype))
+ {
+ desc->dsc_dtype = dtype_dec128;
+ desc->dsc_length = sizeof(Decimal128);
+ desc->dsc_sub_type = 0;
+ desc->dsc_flags = 0;
+ nodFlags |= FLAG_DECFLOAT;
+ return;
+ }
+
if (dialect1)
{
switch (desc->dsc_dtype)
@@ -1237,7 +1276,7 @@ void MaxMinAggNode::aggPass(thread_db* tdbb, jrd_req* request, dsc* desc) const
return;
}
- const int result = MOV_compare(desc, &impure->vlu_desc);
+ const int result = MOV_compare(tdbb, desc, &impure->vlu_desc);
if ((type == TYPE_MAX && result > 0) || (type == TYPE_MIN && result < 0))
EVL_make_value(tdbb, desc, impure);
@@ -1290,13 +1329,32 @@ void StdDevAggNode::parseArgs(thread_db* tdbb, CompilerScratch* csb, unsigned /*
void StdDevAggNode::make(DsqlCompilerScratch* dsqlScratch, dsc* desc)
{
- desc->makeDouble();
+ MAKE_desc(dsqlScratch, desc, arg);
desc->setNullable(true);
+
+ if (desc->isNull())
+ return;
+
+ if (DTYPE_IS_DECFLOAT(desc->dsc_dtype))
+ desc->makeDecimal128();
+ else
+ desc->makeDouble();
}
void StdDevAggNode::getDesc(thread_db* tdbb, CompilerScratch* csb, dsc* desc)
{
- desc->makeDouble();
+ arg->getDesc(tdbb, csb, desc);
+
+ if (DTYPE_IS_DECFLOAT(desc->dsc_dtype))
+ {
+ desc->makeDecimal128();
+ nodFlags |= FLAG_DECFLOAT;
+ }
+ else
+ {
+ desc->makeDouble();
+ nodFlags |= FLAG_DOUBLE;
+ }
}
ValueExprNode* StdDevAggNode::copy(thread_db* tdbb, NodeCopier& copier) const
@@ -1331,10 +1389,18 @@ void StdDevAggNode::aggInit(thread_db* tdbb, jrd_req* request) const
AggNode::aggInit(tdbb, request);
impure_value_ex* impure = request->getImpure(impureOffset);
- impure->make_double(0);
-
StdDevImpure* impure2 = request->getImpure(impure2Offset);
- impure2->x = impure2->x2 = 0.0;
+
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ impure->make_decimal128(CDecimal128(0));
+ impure2->dec.x = impure2->dec.x2 = CDecimal128(0);
+ }
+ else
+ {
+ impure->make_double(0);
+ impure2->dbl.x = impure2->dbl.x2 = 0.0;
+ }
}
void StdDevAggNode::aggPass(thread_db* tdbb, jrd_req* request, dsc* desc) const
@@ -1342,11 +1408,22 @@ void StdDevAggNode::aggPass(thread_db* tdbb, jrd_req* request, dsc* desc) const
impure_value_ex* impure = request->getImpure(impureOffset);
++impure->vlux_count;
- const double d = MOV_get_double(desc);
-
StdDevImpure* impure2 = request->getImpure(impure2Offset);
- impure2->x += d;
- impure2->x2 += d * d;
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ DecimalStatus decSt = tdbb->getAttachment()->att_dec_status;
+ const Decimal128 d = MOV_get_dec128(tdbb, desc);
+
+ impure2->dec.x = impure2->dec.x.add(decSt, d);
+ impure2->dec.x2 = impure2->dec.x2.fma(decSt, d, d);
+ }
+ else
+ {
+ const double d = MOV_get_double(tdbb, desc);
+
+ impure2->dbl.x += d;
+ impure2->dbl.x2 += d * d;
+ }
}
dsc* StdDevAggNode::aggExecute(thread_db* tdbb, jrd_req* request) const
@@ -1354,6 +1431,12 @@ dsc* StdDevAggNode::aggExecute(thread_db* tdbb, jrd_req* request) const
impure_value_ex* impure = request->getImpure(impureOffset);
StdDevImpure* impure2 = request->getImpure(impure2Offset);
double d;
+ Decimal128 dec;
+
+ DecimalStatus decSt = tdbb->getAttachment()->att_dec_status;
+ Decimal128 cnt;
+ if (nodFlags & FLAG_DECFLOAT)
+ cnt.set(impure->vlux_count, decSt, 0);
switch (type)
{
@@ -1362,11 +1445,25 @@ dsc* StdDevAggNode::aggExecute(thread_db* tdbb, jrd_req* request) const
if (impure->vlux_count < 2)
return NULL;
- d = (impure2->x2 - impure2->x * impure2->x / impure->vlux_count) /
- (impure->vlux_count - 1);
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ Decimal128 cntMinus1;
+ cntMinus1.set(impure->vlux_count - 1, decSt, 0);
+ dec = impure2->dec.x.mul(decSt, impure2->dec.x).div(decSt, cnt);
+ dec = impure2->dec.x2.sub(decSt, dec);
+ dec = dec.div(decSt, cntMinus1);
- if (type == TYPE_STDDEV_SAMP)
- d = sqrt(d);
+ if (type == TYPE_STDDEV_SAMP)
+ dec = dec.sqrt(decSt);
+ }
+ else
+ {
+ d = (impure2->dbl.x2 - impure2->dbl.x * impure2->dbl.x / impure->vlux_count) /
+ (impure->vlux_count - 1);
+
+ if (type == TYPE_STDDEV_SAMP)
+ d = sqrt(d);
+ }
break;
case TYPE_STDDEV_POP:
@@ -1374,18 +1471,33 @@ dsc* StdDevAggNode::aggExecute(thread_db* tdbb, jrd_req* request) const
if (impure->vlux_count == 0)
return NULL;
- d = (impure2->x2 - impure2->x * impure2->x / impure->vlux_count) /
- impure->vlux_count;
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ dec = impure2->dec.x.mul(decSt, impure2->dec.x).div(decSt, cnt);
+ dec = impure2->dec.x2.sub(decSt, dec);
+ dec = dec.div(decSt, cnt);
- if (type == TYPE_STDDEV_POP)
- d = sqrt(d);
+ if (type == TYPE_STDDEV_SAMP)
+ dec = dec.sqrt(decSt);
+ }
+ else
+ {
+ d = (impure2->dbl.x2 - impure2->dbl.x * impure2->dbl.x / impure->vlux_count) /
+ impure->vlux_count;
+
+ if (type == TYPE_STDDEV_POP)
+ d = sqrt(d);
+ }
break;
}
dsc temp;
- temp.makeDouble(&d);
- EVL_make_value(tdbb, &temp, impure);
+ if (nodFlags & FLAG_DECFLOAT)
+ temp.makeDecimal128(&dec);
+ else
+ temp.makeDouble(&d);
+ EVL_make_value(tdbb, &temp, impure);
return &impure->vlu_desc;
}
@@ -1426,13 +1538,32 @@ void CorrAggNode::parseArgs(thread_db* tdbb, CompilerScratch* csb, unsigned /*co
void CorrAggNode::make(DsqlCompilerScratch* dsqlScratch, dsc* desc)
{
- desc->makeDouble();
+ MAKE_desc(dsqlScratch, desc, arg);
desc->setNullable(true);
+
+ if (desc->isNull())
+ return;
+
+ if (DTYPE_IS_DECFLOAT(desc->dsc_dtype))
+ desc->makeDecimal128();
+ else
+ desc->makeDouble();
}
void CorrAggNode::getDesc(thread_db* tdbb, CompilerScratch* csb, dsc* desc)
{
- desc->makeDouble();
+ arg->getDesc(tdbb, csb, desc);
+
+ if (DTYPE_IS_DECFLOAT(desc->dsc_dtype))
+ {
+ desc->makeDecimal128();
+ nodFlags |= FLAG_DECFLOAT;
+ }
+ else
+ {
+ desc->makeDouble();
+ nodFlags |= FLAG_DOUBLE;
+ }
}
ValueExprNode* CorrAggNode::copy(thread_db* tdbb, NodeCopier& copier) const
@@ -1468,10 +1599,18 @@ void CorrAggNode::aggInit(thread_db* tdbb, jrd_req* request) const
AggNode::aggInit(tdbb, request);
impure_value_ex* impure = request->getImpure(impureOffset);
- impure->make_double(0);
-
CorrImpure* impure2 = request->getImpure(impure2Offset);
- impure2->x = impure2->x2 = impure2->y = impure2->y2 = impure2->xy = 0.0;
+
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ impure->make_decimal128(CDecimal128(0));
+ impure2->dec.x = impure2->dec.x2 = impure2->dec.y = impure2->dec.y2 = impure2->dec.xy = CDecimal128(0);
+ }
+ else
+ {
+ impure->make_double(0);
+ impure2->dbl.x = impure2->dbl.x2 = impure2->dbl.y = impure2->dbl.y2 = impure2->dbl.xy = 0.0;
+ }
}
bool CorrAggNode::aggPass(thread_db* tdbb, jrd_req* request) const
@@ -1490,16 +1629,30 @@ bool CorrAggNode::aggPass(thread_db* tdbb, jrd_req* request) const
return false;
++impure->vlux_count;
-
- const double y = MOV_get_double(desc);
- const double x = MOV_get_double(desc2);
-
CorrImpure* impure2 = request->getImpure(impure2Offset);
- impure2->x += x;
- impure2->x2 += x * x;
- impure2->y += y;
- impure2->y2 += y * y;
- impure2->xy += x * y;
+
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ const Decimal128 y = MOV_get_dec128(tdbb, desc);
+ const Decimal128 x = MOV_get_dec128(tdbb, desc2);
+
+ DecimalStatus decSt = tdbb->getAttachment()->att_dec_status;
+ impure2->dec.x = impure2->dec.x.add(decSt, x);
+ impure2->dec.x2 = impure2->dec.x2.fma(decSt, x, x);
+ impure2->dec.y = impure2->dec.y.add(decSt, y);
+ impure2->dec.y2 = impure2->dec.y2.fma(decSt, y, y);
+ impure2->dec.xy = impure2->dec.xy.fma(decSt, x, y);
+ }
+ else
+ {
+ const double y = MOV_get_double(tdbb, desc);
+ const double x = MOV_get_double(tdbb, desc2);
+ impure2->dbl.x += x;
+ impure2->dbl.x2 += x * x;
+ impure2->dbl.y += y;
+ impure2->dbl.y2 += y * y;
+ impure2->dbl.xy += x * y;
+ }
return true;
}
@@ -1514,19 +1667,43 @@ dsc* CorrAggNode::aggExecute(thread_db* tdbb, jrd_req* request) const
impure_value_ex* impure = request->getImpure(impureOffset);
CorrImpure* impure2 = request->getImpure(impure2Offset);
double d;
+ Decimal128 dec;
+
+ DecimalStatus decSt = tdbb->getAttachment()->att_dec_status;
+ Decimal128 cnt;
+ if (nodFlags & FLAG_DECFLOAT)
+ cnt.set(impure->vlux_count, decSt, 0);
switch (type)
{
case TYPE_COVAR_SAMP:
if (impure->vlux_count < 2)
return NULL;
- d = (impure2->xy - impure2->y * impure2->x / impure->vlux_count) / (impure->vlux_count - 1);
+
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ Decimal128 cntMinus1;
+ cntMinus1.set(impure->vlux_count - 1, decSt, 0);
+ dec = impure2->dec.x.mul(decSt, impure2->dec.y).div(decSt, cnt);
+ dec = impure2->dec.xy.sub(decSt, dec);
+ dec = dec.div(decSt, cntMinus1);
+ }
+ else
+ d = (impure2->dbl.xy - impure2->dbl.y * impure2->dbl.x / impure->vlux_count) / (impure->vlux_count - 1);
break;
case TYPE_COVAR_POP:
if (impure->vlux_count == 0)
return NULL;
- d = (impure2->xy - impure2->y * impure2->x / impure->vlux_count) / impure->vlux_count;
+
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ dec = impure2->dec.x.mul(decSt, impure2->dec.y).div(decSt, cnt);
+ dec = impure2->dec.xy.sub(decSt, dec);
+ dec = dec.div(decSt, cnt);
+ }
+ else
+ d = (impure2->dbl.xy - impure2->dbl.y * impure2->dbl.x / impure->vlux_count) / impure->vlux_count;
break;
case TYPE_CORR:
@@ -1535,24 +1712,51 @@ dsc* CorrAggNode::aggExecute(thread_db* tdbb, jrd_req* request) const
if (impure->vlux_count == 0)
return NULL;
- const double covarPop = (impure2->xy - impure2->y * impure2->x / impure->vlux_count) /
- impure->vlux_count;
- const double varPopX = (impure2->x2 - impure2->x * impure2->x / impure->vlux_count) /
- impure->vlux_count;
- const double varPopY = (impure2->y2 - impure2->y * impure2->y / impure->vlux_count) /
- impure->vlux_count;
- const double divisor = sqrt(varPopX) * sqrt(varPopY);
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ dec = impure2->dec.x.mul(decSt, impure2->dec.y).div(decSt, cnt);
+ dec = impure2->dec.xy.sub(decSt, dec);
+ const Decimal128 covarPop = dec.div(decSt, cnt);
- if (divisor == 0.0)
- return NULL;
+ dec = impure2->dec.x.mul(decSt, impure2->dec.x).div(decSt, cnt);
+ dec = impure2->dec.x2.sub(decSt, dec);
+ const Decimal128 varPopX = dec.div(decSt, cnt);
- d = covarPop / divisor;
+ dec = impure2->dec.y.mul(decSt, impure2->dec.y).div(decSt, cnt);
+ dec = impure2->dec.y2.sub(decSt, dec);
+ const Decimal128 varPopY = dec.div(decSt, cnt);
+
+ const Decimal128 divisor = varPopX.sqrt(decSt).mul(decSt, varPopY.sqrt(decSt));
+
+ if (divisor.compare(decSt, CDecimal128(0)) == 0)
+ return NULL;
+
+ dec = covarPop.div(decSt, divisor);
+ }
+ else
+ {
+ const double covarPop = (impure2->dbl.xy - impure2->dbl.y * impure2->dbl.x / impure->vlux_count) /
+ impure->vlux_count;
+ const double varPopX = (impure2->dbl.x2 - impure2->dbl.x * impure2->dbl.x / impure->vlux_count) /
+ impure->vlux_count;
+ const double varPopY = (impure2->dbl.y2 - impure2->dbl.y * impure2->dbl.y / impure->vlux_count) /
+ impure->vlux_count;
+ const double divisor = sqrt(varPopX) * sqrt(varPopY);
+
+ if (divisor == 0.0)
+ return NULL;
+
+ d = covarPop / divisor;
+ }
break;
}
}
dsc temp;
- temp.makeDouble(&d);
+ if (nodFlags & FLAG_DECFLOAT)
+ temp.makeDecimal128(&dec);
+ else
+ temp.makeDouble(&d);
EVL_make_value(tdbb, &temp, impure);
@@ -1612,13 +1816,32 @@ void RegrAggNode::parseArgs(thread_db* tdbb, CompilerScratch* csb, unsigned /*co
void RegrAggNode::make(DsqlCompilerScratch* dsqlScratch, dsc* desc)
{
- desc->makeDouble();
+ MAKE_desc(dsqlScratch, desc, arg);
desc->setNullable(true);
+
+ if (desc->isNull())
+ return;
+
+ if (DTYPE_IS_DECFLOAT(desc->dsc_dtype))
+ desc->makeDecimal128();
+ else
+ desc->makeDouble();
}
void RegrAggNode::getDesc(thread_db* tdbb, CompilerScratch* csb, dsc* desc)
{
- desc->makeDouble();
+ arg->getDesc(tdbb, csb, desc);
+
+ if (DTYPE_IS_DECFLOAT(desc->dsc_dtype))
+ {
+ desc->makeDecimal128();
+ nodFlags |= FLAG_DECFLOAT;
+ }
+ else
+ {
+ desc->makeDouble();
+ nodFlags |= FLAG_DOUBLE;
+ }
}
ValueExprNode* RegrAggNode::copy(thread_db* tdbb, NodeCopier& copier) const
@@ -1654,10 +1877,18 @@ void RegrAggNode::aggInit(thread_db* tdbb, jrd_req* request) const
AggNode::aggInit(tdbb, request);
impure_value_ex* impure = request->getImpure(impureOffset);
- impure->make_double(0);
-
RegrImpure* impure2 = request->getImpure(impure2Offset);
- impure2->x = impure2->x2 = impure2->y = impure2->y2 = impure2->xy = 0.0;
+
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ impure->make_decimal128(CDecimal128(0));
+ impure2->dec.x = impure2->dec.x2 = impure2->dec.y = impure2->dec.y2 = impure2->dec.xy = CDecimal128(0);
+ }
+ else
+ {
+ impure->make_double(0);
+ impure2->dbl.x = impure2->dbl.x2 = impure2->dbl.y = impure2->dbl.y2 = impure2->dbl.xy = 0.0;
+ }
}
bool RegrAggNode::aggPass(thread_db* tdbb, jrd_req* request) const
@@ -1676,16 +1907,31 @@ bool RegrAggNode::aggPass(thread_db* tdbb, jrd_req* request) const
return false;
++impure->vlux_count;
-
- const double y = MOV_get_double(desc);
- const double x = MOV_get_double(desc2);
-
RegrImpure* impure2 = request->getImpure(impure2Offset);
- impure2->x += x;
- impure2->x2 += x * x;
- impure2->y += y;
- impure2->y2 += y * y;
- impure2->xy += x * y;
+
+ if (nodFlags & FLAG_DECFLOAT)
+ {
+ const Decimal128 y = MOV_get_dec128(tdbb, desc);
+ const Decimal128 x = MOV_get_dec128(tdbb, desc2);
+
+ DecimalStatus decSt = tdbb->getAttachment()->att_dec_status;
+ impure2->dec.x = impure2->dec.x.add(decSt, x);
+ impure2->dec.x2 = impure2->dec.x2.fma(decSt, x, x);
+ impure2->dec.y = impure2->dec.y.add(decSt, y);
+ impure2->dec.y2 = impure2->dec.y2.fma(decSt, y, y);
+ impure2->dec.xy = impure2->dec.xy.fma(decSt, x, y);
+ }
+ else
+ {
+ const double y = MOV_get_double(tdbb, desc);
+ const double x = MOV_get_double(tdbb, desc2);
+
+ impure2->dbl.x += x;
+ impure2->dbl.x2 += x * x;
+ impure2->dbl.y += y;
+ impure2->dbl.y2 += y * y;
+ impure2->dbl.xy += x * y;
+ }
return true;
}
@@ -1699,74 +1945,148 @@ dsc* RegrAggNode::aggExecute(thread_db* tdbb, jrd_req* request) const
{
impure_value_ex* impure = request->getImpure(impureOffset);
RegrImpure* impure2 = request->getImpure(impure2Offset);
+ dsc temp;
if (impure->vlux_count == 0)
return NULL;
- const double varPopX = (impure2->x2 - impure2->x * impure2->x / impure->vlux_count) / impure->vlux_count;
- const double varPopY = (impure2->y2 - impure2->y * impure2->y / impure->vlux_count) / impure->vlux_count;
- const double covarPop = (impure2->xy - impure2->y * impure2->x / impure->vlux_count) / impure->vlux_count;
- const double avgX = impure2->x / impure->vlux_count;
- const double avgY = impure2->y / impure->vlux_count;
- const double slope = covarPop / varPopX;
- const double sq = sqrt(varPopX) * sqrt(varPopY);
- const double corr = covarPop / sq;
-
- double d;
-
- switch (type)
+ if (nodFlags & FLAG_DECFLOAT)
{
- case TYPE_REGR_AVGX:
- d = avgX;
- break;
+ DecimalStatus decSt = tdbb->getAttachment()->att_dec_status;
+ Decimal128 cnt;
+ cnt.set(impure->vlux_count, decSt, 0);
+ DecimalStatus safeDivide = decSt;
+ safeDivide.decExtFlag &= ~DEC_Division_by_zero;
- case TYPE_REGR_AVGY:
- d = avgY;
- break;
+ const Decimal128 sxx = impure2->dec.x2.sub(decSt, impure2->dec.x.mul(decSt, impure2->dec.x).div(decSt, cnt));
+ const Decimal128 syy = impure2->dec.y2.sub(decSt, impure2->dec.y.mul(decSt, impure2->dec.y).div(decSt, cnt));
+ const Decimal128 sxy = impure2->dec.xy.sub(decSt, impure2->dec.x.mul(decSt, impure2->dec.y).div(decSt, cnt));
+ const Decimal128 varPopX = sxx.div(decSt, cnt);
+ const Decimal128 varPopY = syy.div(decSt, cnt);
+ const Decimal128 covarPop = sxy.div(decSt, cnt);
+ const Decimal128 avgX = impure2->dec.x.div(decSt, cnt);
+ const Decimal128 avgY = impure2->dec.y.div(decSt, cnt);
+ const Decimal128 slope = covarPop.div(safeDivide, varPopX);
+ const Decimal128 sq = varPopX.sqrt(decSt).mul(decSt, varPopY.sqrt(decSt));
+ const Decimal128 corr = covarPop.div(safeDivide, sq);
- case TYPE_REGR_INTERCEPT:
- if (varPopX == 0.0)
- return NULL;
- else
- d = avgY - slope * avgX;
- break;
+ Decimal128 d;
- case TYPE_REGR_R2:
- if (varPopX == 0.0)
- return NULL;
- else if (varPopY == 0.0)
- d = 1.0;
- else if (sq == 0.0)
- return NULL;
- else
- d = corr * corr;
- break;
+ switch (type)
+ {
+ case TYPE_REGR_AVGX:
+ d = avgX;
+ break;
- case TYPE_REGR_SLOPE:
- if (varPopX == 0.0)
- return NULL;
- else
- d = covarPop / varPopX;
- break;
+ case TYPE_REGR_AVGY:
+ d = avgY;
+ break;
- case TYPE_REGR_SXX:
- d = impure->vlux_count * varPopX;
- break;
+ case TYPE_REGR_INTERCEPT:
+ if (varPopX.compare(decSt, CDecimal128(0)) == 0)
+ return NULL;
+ else
+ d = avgY.sub(decSt, slope.mul(decSt, avgX));
+ break;
- case TYPE_REGR_SXY:
- d = impure->vlux_count * covarPop;
- break;
+ case TYPE_REGR_R2:
+ if (varPopX.compare(decSt, CDecimal128(0)) == 0)
+ return NULL;
+ else if (varPopY.compare(decSt, CDecimal128(0)) == 0)
+ d.set(1, decSt, 0);
+ else if (sq.compare(decSt, CDecimal128(0)) == 0)
+ return NULL;
+ else
+ d = corr.mul(decSt, corr);
+ break;
- case TYPE_REGR_SYY:
- d = impure->vlux_count * varPopY;
- break;
+ case TYPE_REGR_SLOPE:
+ if (varPopX.compare(decSt, CDecimal128(0)) == 0)
+ return NULL;
+ else
+ d = slope;
+ break;
+
+ case TYPE_REGR_SXX:
+ d = sxx;
+ break;
+
+ case TYPE_REGR_SXY:
+ d = sxy;
+ break;
+
+ case TYPE_REGR_SYY:
+ d = syy;
+ break;
+ }
+
+ temp.makeDecimal128(&d);
+ }
+ else
+ {
+ const double varPopX = (impure2->dbl.x2 - impure2->dbl.x * impure2->dbl.x / impure->vlux_count) / impure->vlux_count;
+ const double varPopY = (impure2->dbl.y2 - impure2->dbl.y * impure2->dbl.y / impure->vlux_count) / impure->vlux_count;
+ const double covarPop = (impure2->dbl.xy - impure2->dbl.y * impure2->dbl.x / impure->vlux_count) / impure->vlux_count;
+ const double avgX = impure2->dbl.x / impure->vlux_count;
+ const double avgY = impure2->dbl.y / impure->vlux_count;
+ const double slope = covarPop / varPopX;
+ const double sq = sqrt(varPopX) * sqrt(varPopY);
+ const double corr = covarPop / sq;
+
+ double d;
+
+ switch (type)
+ {
+ case TYPE_REGR_AVGX:
+ d = avgX;
+ break;
+
+ case TYPE_REGR_AVGY:
+ d = avgY;
+ break;
+
+ case TYPE_REGR_INTERCEPT:
+ if (varPopX == 0.0)
+ return NULL;
+ else
+ d = avgY - slope * avgX;
+ break;
+
+ case TYPE_REGR_R2:
+ if (varPopX == 0.0)
+ return NULL;
+ else if (varPopY == 0.0)
+ d = 1.0;
+ else if (sq == 0.0)
+ return NULL;
+ else
+ d = corr * corr;
+ break;
+
+ case TYPE_REGR_SLOPE:
+ if (varPopX == 0.0)
+ return NULL;
+ else
+ d = covarPop / varPopX;
+ break;
+
+ case TYPE_REGR_SXX:
+ d = impure->vlux_count * varPopX;
+ break;
+
+ case TYPE_REGR_SXY:
+ d = impure->vlux_count * covarPop;
+ break;
+
+ case TYPE_REGR_SYY:
+ d = impure->vlux_count * varPopY;
+ break;
+ }
+
+ temp.makeDouble(&d);
}
- dsc temp;
- temp.makeDouble(&d);
-
EVL_make_value(tdbb, &temp, impure);
-
return &impure->vlu_desc;
}
diff --git a/src/dsql/AggNodes.h b/src/dsql/AggNodes.h
index 09ea54eb49..8dceaad48c 100644
--- a/src/dsql/AggNodes.h
+++ b/src/dsql/AggNodes.h
@@ -186,9 +186,16 @@ public:
TYPE_VAR_POP
};
- struct StdDevImpure
+ union StdDevImpure
{
- double x, x2;
+ struct
+ {
+ double x, x2;
+ } dbl;
+ struct
+ {
+ Firebird::Decimal128 x, x2;
+ } dec;
};
explicit StdDevAggNode(MemoryPool& pool, StdDevType aType, ValueExprNode* aArg = NULL);
@@ -230,9 +237,16 @@ public:
TYPE_CORR
};
- struct CorrImpure
+ union CorrImpure
{
- double x, x2, y, y2, xy;
+ struct
+ {
+ double x, x2, y, y2, xy;
+ } dbl;
+ struct
+ {
+ Firebird::Decimal128 x, x2, y, y2, xy;
+ } dec;
};
explicit CorrAggNode(MemoryPool& pool, CorrType aType,
@@ -282,9 +296,16 @@ public:
TYPE_REGR_SYY
};
- struct RegrImpure
+ union RegrImpure
{
- double x, x2, y, y2, xy;
+ struct
+ {
+ double x, x2, y, y2, xy;
+ } dbl;
+ struct
+ {
+ Firebird::Decimal128 x, x2, y, y2, xy;
+ } dec;
};
explicit RegrAggNode(MemoryPool& pool, RegrType aType,
diff --git a/src/dsql/BoolNodes.cpp b/src/dsql/BoolNodes.cpp
index 9f6cefa3ee..0070c3067f 100644
--- a/src/dsql/BoolNodes.cpp
+++ b/src/dsql/BoolNodes.cpp
@@ -73,7 +73,7 @@ BoolExprNode* BoolExprNode::pass2(thread_db* tdbb, CompilerScratch* csb)
if (csb->csb_current_nodes.hasData())
{
- RseNode* topRseNode = csb->csb_current_nodes[0]->as();
+ RseNode* topRseNode = nodeAs(csb->csb_current_nodes[0]);
fb_assert(topRseNode);
if (!topRseNode->rse_invariants)
@@ -144,7 +144,7 @@ bool BinaryBoolNode::dsqlMatch(const ExprNode* other, bool ignoreMapCast) const
if (!BoolExprNode::dsqlMatch(other, ignoreMapCast))
return false;
- const BinaryBoolNode* o = other->as();
+ const BinaryBoolNode* o = nodeAs(other);
fb_assert(o);
return blrOp == o->blrOp;
@@ -152,7 +152,7 @@ bool BinaryBoolNode::dsqlMatch(const ExprNode* other, bool ignoreMapCast) const
bool BinaryBoolNode::sameAs(const ExprNode* other, bool ignoreStreams) const
{
- const BinaryBoolNode* const otherNode = other->as();
+ const BinaryBoolNode* const otherNode = nodeAs(other);
if (!otherNode || blrOp != otherNode->blrOp)
return false;
@@ -366,7 +366,7 @@ BoolExprNode* ComparativeBoolNode::dsqlPass(DsqlCompilerScratch* dsqlScratch)
if (dsqlSpecialArg)
{
- ValueListNode* listNode = dsqlSpecialArg->as();
+ ValueListNode* listNode = nodeAs(dsqlSpecialArg);
if (listNode)
{
int listItemCount = 0;
@@ -392,7 +392,7 @@ BoolExprNode* ComparativeBoolNode::dsqlPass(DsqlCompilerScratch* dsqlScratch)
return resultNode->dsqlPass(dsqlScratch);
}
- SelectExprNode* selNode = dsqlSpecialArg->as();
+ SelectExprNode* selNode = nodeAs(dsqlSpecialArg);
if (selNode)
{
fb_assert(!(selNode->dsqlFlags & RecordSourceNode::DFLAG_SINGLETON));
@@ -495,7 +495,7 @@ bool ComparativeBoolNode::dsqlMatch(const ExprNode* other, bool ignoreMapCast) c
if (!BoolExprNode::dsqlMatch(other, ignoreMapCast))
return false;
- const ComparativeBoolNode* o = other->as();
+ const ComparativeBoolNode* o = nodeAs(other);
fb_assert(o);
return dsqlFlag == o->dsqlFlag && blrOp == o->blrOp;
@@ -503,7 +503,7 @@ bool ComparativeBoolNode::dsqlMatch(const ExprNode* other, bool ignoreMapCast) c
bool ComparativeBoolNode::sameAs(const ExprNode* other, bool ignoreStreams) const
{
- const ComparativeBoolNode* const otherNode = other->as();
+ const ComparativeBoolNode* const otherNode = nodeAs(other);
if (!otherNode || blrOp != otherNode->blrOp)
return false;
@@ -582,7 +582,7 @@ BoolExprNode* ComparativeBoolNode::pass1(thread_db* tdbb, CompilerScratch* csb)
// If there is no top-level RSE present and patterns are not constant, unmark node as invariant
// because it may be dependent on data or variables.
if ((nodFlags & FLAG_INVARIANT) &&
- (!arg2->is() || (arg3 && !arg3->is())))
+ (!nodeIs(arg2) || (arg3 && !nodeIs(arg3))))
{
ExprNode* const* ctx_node;
ExprNode* const* end;
@@ -590,7 +590,7 @@ BoolExprNode* ComparativeBoolNode::pass1(thread_db* tdbb, CompilerScratch* csb)
for (ctx_node = csb->csb_current_nodes.begin(), end = csb->csb_current_nodes.end();
ctx_node != end; ++ctx_node)
{
- if ((*ctx_node)->as())
+ if (nodeAs(*ctx_node))
break;
}
@@ -614,7 +614,7 @@ void ComparativeBoolNode::pass2Boolean2(thread_db* tdbb, CompilerScratch* csb)
if (arg3)
{
- if ((keyNode = arg3->as()) && keyNode->aggregate)
+ if ((keyNode = nodeAs(arg3)) && keyNode->aggregate)
ERR_post(Arg::Gds(isc_bad_dbkey));
dsc descriptor_c;
@@ -627,8 +627,8 @@ void ComparativeBoolNode::pass2Boolean2(thread_db* tdbb, CompilerScratch* csb)
}
}
- if (((keyNode = arg1->as()) && keyNode->aggregate) ||
- ((keyNode = arg2->as()) && keyNode->aggregate))
+ if (((keyNode = nodeAs(arg1)) && keyNode->aggregate) ||
+ ((keyNode = nodeAs(arg2)) && keyNode->aggregate))
{
ERR_post(Arg::Gds(isc_bad_dbkey));
}
@@ -768,13 +768,13 @@ bool ComparativeBoolNode::execute(thread_db* tdbb, jrd_req* request) const
case blr_leq:
case blr_neq:
case blr_between:
- comparison = MOV_compare(desc[0], desc[1]);
+ comparison = MOV_compare(tdbb, desc[0], desc[1]);
}
// If we are checking equality of record_version
// and same transaction updated the record, force equality.
- const RecordKeyNode* recVersionNode = arg1->as();
+ const RecordKeyNode* recVersionNode = nodeAs(arg1);
if (recVersionNode && recVersionNode->blrOp == blr_record_version && force_equal)
comparison = 0;
@@ -806,7 +806,7 @@ bool ComparativeBoolNode::execute(thread_db* tdbb, jrd_req* request) const
desc[1] = EVL_expr(tdbb, request, arg3);
if (request->req_flags & req_null)
return false;
- return comparison >= 0 && MOV_compare(desc[0], desc[1]) <= 0;
+ return comparison >= 0 && MOV_compare(tdbb, desc[0], desc[1]) <= 0;
case blr_containing:
case blr_starting:
@@ -849,7 +849,7 @@ bool ComparativeBoolNode::stringBoolean(thread_db* tdbb, jrd_req* request, dsc*
VaryStr<256> temp1;
USHORT xtype1;
- const USHORT l1 = MOV_get_string_ptr(desc1, &xtype1, &p1, &temp1, sizeof(temp1));
+ const USHORT l1 = MOV_get_string_ptr(tdbb, desc1, &xtype1, &p1, &temp1, sizeof(temp1));
fb_assert(xtype1 == type1);
@@ -915,7 +915,7 @@ bool ComparativeBoolNode::stringBoolean(thread_db* tdbb, jrd_req* request, dsc*
break;
}
- escape_length = MOV_make_string(desc, type1,
+ escape_length = MOV_make_string(tdbb, desc, type1,
reinterpret_cast(&escape_str), &temp3, sizeof(temp3));
if (!escape_length || charset->length(escape_length, escape_str, true) != 1)
@@ -1124,7 +1124,7 @@ bool ComparativeBoolNode::stringFunction(thread_db* tdbb, jrd_req* request,
return false;
}
- escape_length = MOV_make_string(desc, ttype,
+ escape_length = MOV_make_string(tdbb, desc, ttype,
reinterpret_cast(&escape_str), &temp3, sizeof(temp3));
if (!escape_length || charset->length(escape_length, escape_str, true) != 1)
@@ -1375,7 +1375,7 @@ BoolExprNode* MissingBoolNode::pass1(thread_db* tdbb, CompilerScratch* csb)
void MissingBoolNode::pass2Boolean2(thread_db* tdbb, CompilerScratch* csb)
{
- RecordKeyNode* keyNode = arg->as();
+ RecordKeyNode* keyNode = nodeAs(arg);
if (keyNode && keyNode->aggregate)
ERR_post(Arg::Gds(isc_bad_dbkey));
@@ -1448,7 +1448,7 @@ BoolExprNode* NotBoolNode::copy(thread_db* tdbb, NodeCopier& copier) const
BoolExprNode* NotBoolNode::pass1(thread_db* tdbb, CompilerScratch* csb)
{
- RseBoolNode* rseBoolean = arg->as();
+ RseBoolNode* rseBoolean = nodeAs(arg);
if (rseBoolean)
{
@@ -1475,7 +1475,7 @@ bool NotBoolNode::execute(thread_db* tdbb, jrd_req* request) const
// Get rid of redundant nested NOT predicates.
BoolExprNode* NotBoolNode::process(DsqlCompilerScratch* dsqlScratch, bool invert)
{
- NotBoolNode* notArg = arg->as();
+ NotBoolNode* notArg = nodeAs(arg);
if (notArg)
{
@@ -1486,12 +1486,12 @@ BoolExprNode* NotBoolNode::process(DsqlCompilerScratch* dsqlScratch, bool invert
if (!invert)
return arg->dsqlPass(dsqlScratch);
- ComparativeBoolNode* cmpArg = arg->as();
- BinaryBoolNode* binArg = arg->as();
+ ComparativeBoolNode* cmpArg = nodeAs(arg);
+ BinaryBoolNode* binArg = nodeAs(arg);
// Do not handle special case: NOT IN
- if (cmpArg && (!cmpArg->dsqlSpecialArg || !cmpArg->dsqlSpecialArg->is()))
+ if (cmpArg && (!cmpArg->dsqlSpecialArg || !nodeIs(cmpArg->dsqlSpecialArg)))
{
// Invert the given boolean.
switch (cmpArg->blrOp)
@@ -1646,7 +1646,7 @@ BoolExprNode* RseBoolNode::dsqlPass(DsqlCompilerScratch* dsqlScratch)
const DsqlContextStack::iterator base(*dsqlScratch->context);
RseBoolNode* node = FB_NEW_POOL(getPool()) RseBoolNode(getPool(), blrOp,
- PASS1_rse(dsqlScratch, dsqlRse->as