2019-10-03 16:54:37 +02:00
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/* TomsFastMath, a fast ISO C bignum library. -- Tom St Denis */
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/* SPDX-License-Identifier: Unlicense */
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2015-02-08 11:50:39 +01:00
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/* TFM timing analysis */
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2017-09-13 17:20:27 +02:00
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#define _GNU_SOURCE
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2015-02-08 11:50:39 +01:00
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#include <tfm.h>
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#include <time.h>
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#include <unistd.h>
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/* RDTSC from Scott Duplichan */
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static ulong64 TIMFUNC(void)
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{
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#if defined __GNUC__
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#if defined(INTEL_CC)
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ulong64 a;
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asm ("rdtsc":"=A"(a));
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return a;
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#elif defined(__i386__) || defined(__x86_64__)
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/* version from http://www.mcs.anl.gov/~kazutomo/rdtsc.html
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* the old code always got a warning issued by gcc, clang did not complain...
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*/
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unsigned hi, lo;
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__asm__ __volatile__ ("rdtsc" : "=a"(lo), "=d"(hi));
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return ((ulong64)lo)|( ((ulong64)hi)<<32);
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#elif defined(TFM_PPC32)
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unsigned long a, b;
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__asm__ __volatile__ ("mftbu %1 \nmftb %0\n":"=r"(a), "=r"(b));
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return (((ulong64)b) << 32ULL) | ((ulong64)a);
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#elif defined(TFM_AVR32)
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FILE *in;
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char buf[20];
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in = fopen("/sys/devices/system/cpu/cpu0/pccycles", "r");
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fgets(buf, 20, in);
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fclose(in);
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return strtoul(buf, NULL, 10);
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#else /* gcc-IA64 version */
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unsigned long result;
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__asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory");
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while (__builtin_expect ((int) result == -1, 0))
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__asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory");
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return result;
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#endif
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// Microsoft and Intel Windows compilers
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#elif defined _M_IX86
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__asm rdtsc
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#elif defined _M_AMD64
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return __rdtsc ();
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#elif defined _M_IA64
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#if defined __INTEL_COMPILER
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#include <ia64intrin.h>
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#endif
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return __getReg (3116);
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#else
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#error need rdtsc function for this build
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#endif
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}
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static ulong64 ticks;
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static const char* p_str;
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static void print_start(const char* s)
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{
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p_str = s;
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}
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static void print_line(ulong64 b, ulong64 t)
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{
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printf("%llu;%s;%llu;%llu\n", ticks, p_str, b, t);
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}
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2017-09-13 17:20:27 +02:00
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static void Addition(ulong64 t1)
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2015-02-08 11:50:39 +01:00
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{
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2017-09-13 17:20:27 +02:00
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fp_int a,b,c;
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ulong64 t2;
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2015-02-08 11:50:39 +01:00
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unsigned long t, ix;
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for (t = 2; t <= FP_SIZE / 2; t += 2) {
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fp_zero(&a);
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fp_zero(&b);
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fp_zero(&c);
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for (ix = 0; ix < t; ix++) {
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a.dp[ix] = ix;
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b.dp[ix] = ix;
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}
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a.used = t;
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b.used = t;
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t2 = -1;
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for (ix = 0; ix < 25000; ++ix) {
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t1 = TIMFUNC();
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fp_add(&a, &b, &c);
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fp_add(&a, &b, &c);
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fp_add(&a, &b, &c);
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fp_add(&a, &b, &c);
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fp_add(&a, &b, &c);
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fp_add(&a, &b, &c);
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fp_add(&a, &b, &c);
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fp_add(&a, &b, &c);
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t2 = (TIMFUNC() - t1) >> 3;
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if (t1 < t2) {
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--ix;
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t2 = t1;
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}
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}
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print_line(t * DIGIT_BIT, t2);
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}
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2017-09-13 17:20:27 +02:00
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}
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static void Multiplication(ulong64 t1)
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{
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fp_int a,b,c;
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ulong64 t2;
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unsigned long t, ix;
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2015-02-08 11:50:39 +01:00
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for (t = 2; t < FP_SIZE / 2; t += 2) {
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fp_zero(&a);
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fp_zero(&b);
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fp_zero(&c);
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for (ix = 0; ix < t; ix++) {
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a.dp[ix] = ix;
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b.dp[ix] = ix;
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}
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a.used = t;
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b.used = t;
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t2 = -1;
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for (ix = 0; ix < 100; ++ix) {
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t1 = TIMFUNC();
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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fp_mul(&a, &b, &c);
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t2 = (TIMFUNC() - t1) >> 7;
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if (t1 < t2) {
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--ix;
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t2 = t1;
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}
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}
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print_line(t * DIGIT_BIT, t2);
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}
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2017-09-13 17:20:27 +02:00
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}
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2015-02-08 11:50:39 +01:00
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2017-09-13 17:20:27 +02:00
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static void Squaring(ulong64 t1)
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{
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fp_int a,b;
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ulong64 t2;
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unsigned long t, ix;
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2015-02-08 11:50:39 +01:00
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for (t = 2; t < FP_SIZE / 2; t += 2) {
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fp_zero(&a);
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fp_zero(&b);
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for (ix = 0; ix < t; ix++) {
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a.dp[ix] = ix;
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}
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a.used = t;
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t2 = -1;
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for (ix = 0; ix < 100; ++ix) {
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t1 = TIMFUNC();
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
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fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
fp_sqr(&a, &b);
|
|
|
|
t2 = (TIMFUNC() - t1) >> 7;
|
|
|
|
if (t1 < t2) {
|
|
|
|
--ix;
|
|
|
|
t2 = t1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
print_line(t * DIGIT_BIT, t2);
|
|
|
|
}
|
2017-09-13 17:20:27 +02:00
|
|
|
}
|
2015-02-08 11:50:39 +01:00
|
|
|
|
2017-09-13 17:20:27 +02:00
|
|
|
static void Invmod(ulong64 t1)
|
|
|
|
{
|
|
|
|
fp_int a,b,c;
|
|
|
|
ulong64 t2;
|
|
|
|
unsigned long t, ix;
|
2015-02-08 11:50:39 +01:00
|
|
|
for (t = 2; t < FP_SIZE / 2; t += 2) {
|
|
|
|
fp_zero(&a);
|
|
|
|
for (ix = 0; ix < t; ix++) {
|
|
|
|
a.dp[ix] = ix | 1;
|
|
|
|
}
|
|
|
|
a.used = t;
|
|
|
|
fp_zero(&b);
|
|
|
|
for (ix = 0; ix < t; ix++) {
|
|
|
|
b.dp[ix] = rand();
|
|
|
|
}
|
|
|
|
b.used = t;
|
|
|
|
fp_clamp(&b);
|
|
|
|
fp_zero(&c);
|
|
|
|
t2 = -1;
|
|
|
|
for (ix = 0; ix < 100; ++ix) {
|
|
|
|
t1 = TIMFUNC();
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
fp_invmod(&b, &a, &c);
|
|
|
|
t2 = (TIMFUNC() - t1) >> 6;
|
|
|
|
if (t1 < t2) {
|
|
|
|
--ix;
|
|
|
|
t2 = t1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
print_line(t * DIGIT_BIT, t2);
|
|
|
|
}
|
2017-09-13 17:20:27 +02:00
|
|
|
}
|
2015-02-08 11:50:39 +01:00
|
|
|
|
2017-09-13 17:20:27 +02:00
|
|
|
static void Montgomery(ulong64 t1)
|
|
|
|
{
|
|
|
|
fp_int a,b,c,d;
|
|
|
|
ulong64 t2;
|
|
|
|
fp_digit fp;
|
|
|
|
unsigned long t, ix;
|
2015-02-08 11:50:39 +01:00
|
|
|
for (t = 2; t <= (FP_SIZE / 2) - 4; t += 2) {
|
|
|
|
// printf("%5lu-bit: %9llu\n", t * DIGIT_BIT, t2);
|
|
|
|
fp_zero(&a);
|
|
|
|
for (ix = 0; ix < t; ix++) {
|
|
|
|
a.dp[ix] = ix | 1;
|
|
|
|
}
|
|
|
|
a.used = t;
|
|
|
|
|
|
|
|
fp_montgomery_setup(&a, &fp);
|
|
|
|
fp_sub_d(&a, 3, &b);
|
|
|
|
fp_sqr(&b, &b);
|
|
|
|
fp_copy(&b, &c);
|
|
|
|
fp_copy(&b, &d);
|
|
|
|
|
|
|
|
t2 = -1;
|
|
|
|
for (ix = 0; ix < 100; ++ix) {
|
|
|
|
t1 = TIMFUNC();
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
fp_montgomery_reduce(&c, &a, fp);
|
|
|
|
fp_montgomery_reduce(&d, &a, fp);
|
|
|
|
t2 = (TIMFUNC() - t1) >> 6;
|
|
|
|
fp_copy(&b, &c);
|
|
|
|
fp_copy(&b, &d);
|
|
|
|
if (t1 < t2) {
|
|
|
|
--ix;
|
|
|
|
t2 = t1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
print_line(t * DIGIT_BIT, t2);
|
|
|
|
}
|
2017-09-13 17:20:27 +02:00
|
|
|
}
|
2015-02-08 11:50:39 +01:00
|
|
|
|
2017-09-13 17:20:27 +02:00
|
|
|
static void Exptmod(ulong64 t1)
|
|
|
|
{
|
|
|
|
fp_int a,b,c,d;
|
|
|
|
ulong64 t2;
|
|
|
|
unsigned long t, ix;
|
2015-02-08 11:50:39 +01:00
|
|
|
for (t = 512 / DIGIT_BIT; t <= (FP_SIZE / 2) - 2; t += 256 / DIGIT_BIT) {
|
|
|
|
fp_zero(&a);
|
|
|
|
fp_zero(&b);
|
|
|
|
fp_zero(&c);
|
|
|
|
for (ix = 0; ix < t; ix++) {
|
|
|
|
a.dp[ix] = ix + 1;
|
|
|
|
b.dp[ix] = (fp_digit) rand() * (fp_digit) rand();
|
|
|
|
c.dp[ix] = ix;
|
|
|
|
}
|
|
|
|
a.used = t;
|
|
|
|
b.used = t;
|
|
|
|
c.used = t;
|
|
|
|
|
|
|
|
t2 = -1;
|
|
|
|
for (ix = 0; ix < 500; ++ix) {
|
|
|
|
t1 = TIMFUNC();
|
|
|
|
fp_exptmod(&c, &b, &a, &d);
|
|
|
|
fp_exptmod(&c, &b, &a, &d);
|
|
|
|
t2 = (TIMFUNC() - t1) >> 1;
|
|
|
|
fp_copy(&b, &c);
|
|
|
|
fp_copy(&b, &d);
|
|
|
|
if (t1 < t2) {
|
|
|
|
t2 = t1;
|
|
|
|
--ix;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
print_line(t * DIGIT_BIT, t2);
|
|
|
|
}
|
2017-09-13 17:20:27 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
#define FN(n) { n, #n }
|
|
|
|
struct {
|
|
|
|
void (*fn)(ulong64 t1);
|
|
|
|
const char* name;
|
|
|
|
} funcs[] = {
|
|
|
|
FN(Addition),
|
|
|
|
FN(Multiplication),
|
|
|
|
FN(Squaring),
|
|
|
|
FN(Invmod),
|
|
|
|
FN(Montgomery),
|
|
|
|
FN(Exptmod),
|
|
|
|
};
|
|
|
|
|
|
|
|
int main(int argc, char **argv)
|
|
|
|
{
|
|
|
|
ulong64 t1;
|
|
|
|
unsigned int t;
|
|
|
|
char* arg = NULL;
|
|
|
|
|
|
|
|
if (argc > 1) arg = argv[1];
|
|
|
|
|
|
|
|
t1 = TIMFUNC();
|
|
|
|
sleep(1);
|
|
|
|
ticks = TIMFUNC() - t1;
|
|
|
|
fprintf(stderr, "Ticks per second: %llu\n", ticks);
|
|
|
|
|
|
|
|
printf("Ticks/sec;Algorithm;bits;time\n");
|
|
|
|
/* do some timings... */
|
|
|
|
for (t = 0; t < sizeof(funcs)/sizeof(funcs[0]); ++t) {
|
|
|
|
if(arg != NULL && strcasestr(funcs[t].name, arg) == NULL) continue;
|
|
|
|
print_start(funcs[t].name);
|
|
|
|
funcs[t].fn(t1);
|
|
|
|
}
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|
|
|
|
2015-02-08 11:50:39 +01:00
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|
|
return 0;
|
|
|
|
}
|