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#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <sys/time.h>
#include <time.h>
#include <math.h>
#include <alloca.h>
#if defined(TEST_GMP) || defined(TEST_WHY3) || defined(TEST_MINIGMP)
#define BENCH
#if !(defined(TEST_ADD) || defined(TEST_MUL) || defined(TEST_TOOMB) || defined(TEST_TOOMM) || defined(TEST_TOOMU) || defined(TEST_DIV) || defined(TEST_SQRT1) || defined(TEST_SQRTREM) || defined(TEST_POWM) || defined(TEST_ZADD) || defined(TEST_ZSUB) || defined(TEST_ZMUL) || defined(TEST_ZDIV) || defined (TEST_ZGETSET) || defined(TEST_MILLERRABIN))
#error "missing TEST_foo macro definition"
#endif //no TEST_OP
#else //no TEST_LIB
#define COMPARE
#define TEST_WHY3
#ifdef COMPARE_MINI
#define TEST_MINIGMP
#else //MINI
#define TEST_GMP
#endif //MINI
#define TEST_ADD
#define TEST_MUL
#define TEST_TOOMB
#define TEST_TOOMM
#define TEST_TOOMU
#define TEST_DIV
#define TEST_SQRT1
#define TEST_SQRTREM
#define TEST_POWM
#define TEST_ZADD
#define TEST_ZSUB
#define TEST_ZMUL
#define TEST_ZDIV
#define TEST_ZGETSET
#ifndef COMPARE_MINI
#define TEST_MILLERRABIN
#endif
#endif
#ifdef TEST_MINIGMP
#include "mini-gmp.c"
#else
#include <gmp.h>
extern void __gmpn_powm (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t,
mp_srcptr, mp_size_t, mp_ptr);
#endif
#define SIZ(x) ((x)->_mp_size)
#define ABSIZ(x) ABS (SIZ (x))
#define PTR(x) ((x)->_mp_d)
#define ALLOC(x) ((x)->_mp_alloc)
#include "wmp.h"
extern wmp_limb_t sqrt1(wmp_ptr, wmp_limb_t);
extern void normalize(wmp_ptr, wmp_size_t*);
#include "mt19937-64.c"
#define TMP_ALLOC_LIMBS(n) (mp_ptr)malloc((n) * 8)
void mpn_dump(mp_ptr ap, mp_size_t an) {
for (mp_size_t i = 0; i != an; ++i)
printf("%016lx ", ap[i]);
printf("\n");
}
void init_valid (mp_ptr ap, mp_ptr bp, mp_size_t an, mp_size_t bn) {
for (int i = 0; i < an; i++)
ap[i] = genrand64_int64();
for (int i = 0; i < bn; i++)
bp[i] = genrand64_int64();
while (bp[bn-1]==0)
bp[bn-1] = genrand64_int64();
return;
}
void init_mpz_1 (mpz_ptr a, mp_size_t an) {
mp_ptr ap = mpz_realloc(a, an);
for (int i = 0; i < an; i++)
ap[i] = genrand64_int64();
while (ap[an-1]<1)
ap[an-1] = genrand64_int64();
SIZ(a) = genrand64_int64() & 1 ? an : - an;
return;
}
void init_valid_1(mp_ptr ap, mp_size_t an) {
for (int i = 0; i < an; i++)
ap[i] = genrand64_int64();
while (ap[an-1]<2)
ap[an-1] = genrand64_int64();
return;
}
void compare_mpz (mpz_ptr u, mpz_ptr v, mpz_ptr w, mpz_ptr refw) {
mp_size_t an, bn;
if (mpz_cmp(w, refw))
{
an = abs (SIZ(u));
bn = abs (SIZ(v));
printf ("ERROR, an = %d, bn = %d\n", (int) an, (int) bn);
printf ("a: "); mpn_dump (PTR(u), an);
printf ("b: "); mpn_dump (PTR(v), bn);
printf ("r: "); mpn_dump (PTR(w), abs (SIZ(w)));
printf ("ref: "); mpn_dump (PTR(refw), abs (SIZ(refw)));
abort();
}
}
#ifdef TEST_MILLERRABIN
#ifdef TEST_WHY3
void wmpz_powm (mpz_ptr r, mpz_ptr b, mpz_ptr e, mpz_ptr m) {
mp_ptr rp, tp;
mp_ptr bp, ep, mp;
int32_t es = SIZ(e);
int32_t n = SIZ(m);
int cnt;
int32_t rn, bn, en, itch;
mpz_t new_b;
mp = PTR(m);
//ASSUME: e > 0
//ASSUME: m odd
//ASSUME: m > 0
//ASSUME: b >= 0
if (es == 0)
{
SIZ(r) = n != 1 || mp[0] != 1;
PTR(r)[0] = 1;
return;
}
bn = SIZ(b);
if (bn == 0)
{
SIZ(r) = 0;
return;
}
ep = PTR(e);
en = es;
if (en == 1 && ep[0] == 1)
{
rp = alloca (n * sizeof(uint64_t));
bp = PTR(b);
if (bn >= n)
{
mp_ptr qp = alloca ((bn - n + 1) * sizeof(uint64_t));
wmpn_tdiv_qr (qp, rp, 0L, bp, bn, mp, n);
rn = n;
normalize (rp, &rn);
}
else
{
wmpn_copyi (rp, bp, bn);
rn = bn;
}
goto ret;
}
tp = alloca (3*n * sizeof(uint64_t));
rp = tp;
tp += n;
bp = PTR (b);
// printf ("bn %d en %d n %d\n", bn, en, n);
wmpn_powm (rp, bp, bn, ep, en, mp, n, tp);
rn = n;
normalize (rp, &rn);
ret:
wmpz_realloc(r, rn);
SIZ(r) = rn;
wmpn_copyi (PTR(r), rp, rn);
// printf ("%d\n", rn);
}
#else
#define wmpz_powm mpz_powm
#define wmpn_mul_n mpn_mul_n
#ifdef TEST_GMP
#define wmpn_tdiv_qr(q, r, qxn, x, sx, y, sy) \
mpn_tdiv_qr(q, r, qxn, x, sx, y, sy)
#else
//FIXME can we avoid a copy?
#define wmpn_tdiv_qr(q, r, qxn, x, sx, y, sy) \
do { \
mpn_div_qr(q, x, sx, y, sy); \
mpn_copyi(r,x,sy); \
} while (0)
#endif
#define wmpz_cmp mpz_cmp
#define wmpz_cmp_ui mpz_cmp_ui
#define wmpz_set_ui mpz_set_ui
#define wmpz_tdiv_q_2exp mpz_tdiv_q_2exp
#define wmpz_add_ui mpz_add_ui
#define wmpz_sub_ui mpz_sub_ui
#define wmpz_realloc mpz_realloc
#define normalize(DST, NLIMBS) \
do { \
while (*(NLIMBS) > 0) \
{ \
if ((DST)[*(NLIMBS) - 1] != 0) \
break; \
(*(NLIMBS))--; \
} \
} while (0)
#endif
void sqrmod (mp_ptr qp, mp_ptr tp, mpz_ptr y, mpz_ptr n)
{
int32_t yn, nn;
mp_ptr yp, np;
yn = SIZ(y);
nn = SIZ(n);
yp = PTR(y);
np = PTR(n);
wmpn_mul_n(tp, yp, yp, yn);
wmpn_tdiv_qr(qp, yp, 0, tp, 2 * yn, np, nn);
yn = nn;
normalize(yp, &yn);
wmpz_realloc(y, yn);
SIZ(y) = yn;
}
static int do_millerrabin (mpz_ptr n, mpz_ptr nm1, mpz_ptr x, mpz_ptr y,
mpz_ptr q, unsigned long int k,
mp_ptr qp, mp_ptr tp)
{
wmpz_powm (y,x,q,n);
if (wmpz_cmp_ui (y, 1L) == 0 || wmpz_cmp (y, nm1) == 0)
return 1;
for (unsigned long int i = 1; i < k; i++)
{
sqrmod (qp, tp, y, n);
// mpz_powm_ui(y,2,n);
if (wmpz_cmp (y, nm1) == 0)
return 1;
if (wmpz_cmp_ui (y, 1L) <= 0)
return 0;
}
return 0;
}
#define MPZ_TMP_INIT(X, NLIMBS) \
do { \
mpz_ptr __x = (X); \
__x->_mp_alloc = (NLIMBS); \
__x->_mp_d = TMP_ALLOC_LIMBS (NLIMBS); \
} while (0)
void urandomm (mpz_t a, mpz_t upper)
{
mp_ptr ap, up;
mp_size_t un;
uint64_t um;
int cnt;
un = SIZ(upper);
wmpz_realloc (a, un);
ap = PTR(a);
up = PTR(upper);
for (int i = 0; i < un; i++) {
ap[i] = genrand64_int64();
}
um = up[un-1];
if (um <= 1)
{
SIZ(a) = un - 1;
return;
}
cnt = __builtin_clz(up[un-1]);
ap[un-1] >>= cnt;
while (ap[un-1] >= um || ap[un-1] == 0) {
ap[un-1] = genrand64_int64();
ap[un-1] >>= cnt;
}
SIZ(a) = un;
}
static int wmpz_millerrabin (mpz_ptr n, int reps)
{
int r = 0;
mpz_t nm1, nm3, x, y, q;
mp_ptr qp, tp;
unsigned long int k;
int is_prime;
// printf ("%d\n", SIZ(n));
MPZ_TMP_INIT(nm1,SIZ(n)+1);
wmpz_sub_ui (nm1, n, 1L);
MPZ_TMP_INIT(x, SIZ(n)+1);
MPZ_TMP_INIT(y, SIZ(n)+1); //TODO check
//ASSUME n > 0
//ASSUME n odd
wmpz_set_ui (x, 210L);
wmpz_powm (y, x, nm1, n);
if (wmpz_cmp_ui (y, 1L) != 0)
{
return 0;
}
MPZ_TMP_INIT(q, SIZ(n));
k = mpz_scan1 (nm1, 0L);
wmpz_tdiv_q_2exp (q, nm1, k);
MPZ_TMP_INIT (nm3, SIZ(n) + 1);
wmpz_sub_ui (nm3, n, 3L);
is_prime = 1;
qp = alloca ((SIZ(n) + 1) * sizeof(uint64_t));
tp = alloca ((2 * SIZ(n)) * sizeof(uint64_t));
for (r = 0; r < reps && is_prime; r++)
{
/* 2 to n-2 inclusive, don't want 1, 0 or -1 */
urandomm (x, nm3);
wmpz_add_ui (x, x, 2L);
is_prime = do_millerrabin(n, nm1, x, y, q, k, qp, tp);
}
ret:
// if (r > 0) printf ("%d reps done", r);
return is_prime;
}
void mr_candidate (mpz_t c, int len) {
init_mpz_1(c, len);
SIZ(c) = abs (SIZ(c));
mpz_setbit (c, 0);
}
#endif //TEST_MILLERRABIN
int main () {
mp_ptr ap, bp, rp, refp, rq, rr, refq, refr, ep, rep, mp, tp;
mp_size_t max_n, max_add, max_mul, max_toom, max_div, max_sqrt, max_powm,
max_getset, an, bn, rn, cn;
mpz_t q, r, u, v, w, refzq, refzr, refw, cp;
int nb, nb_iter, base;
char * sp, * refsp;
double elapsed, elapsed2, duration;
mpz_init(cp);
mpz_init(u);
mpz_init(v);
mpz_init(w);
mpz_init(refw);
mpz_init(q);
mpz_init(refzq);
mpz_init(r);
mpz_init(refzr);
#ifdef BENCH
struct timeval begin, end;
#endif
uint64_t a, c, refc;
//TMP_DECL;
//TMP_MARK;
//tests_start ();
//TESTS_REPS (reps, argv, argc);
//gmp_randseed_ui(rands, 42);
/* Re-interpret reps argument as a size argument. */
#ifdef BENCH
init_genrand64(0);
#else
init_genrand64((unsigned long long)time(NULL));
#endif
max_n = 100000;
max_add = 50;
max_mul = 20;
max_toom = 95;
max_div = 20;
max_sqrt = 95;
max_powm = 50;
max_getset = 50;
ap = TMP_ALLOC_LIMBS (max_n + 1);
bp = TMP_ALLOC_LIMBS (max_n + 1);
/* nap = TMP_ALLOC_LIMBS (max_n + 1); */
/* nbp = TMP_ALLOC_LIMBS (max_n + 1); */
rp = TMP_ALLOC_LIMBS (2 * max_n);
refp = TMP_ALLOC_LIMBS (2 * max_n);
rq = TMP_ALLOC_LIMBS (max_n + 1);
rr = TMP_ALLOC_LIMBS (max_n + 1);
refq = TMP_ALLOC_LIMBS (max_n + 1);
refr = TMP_ALLOC_LIMBS (max_n + 1);
tp = TMP_ALLOC_LIMBS(2 * max_n);
ep = TMP_ALLOC_LIMBS(max_n + 1);
mp = TMP_ALLOC_LIMBS(max_n + 1);
sp = malloc (max_getset * 64);
refsp = malloc (max_getset * 64);
#ifdef TEST_ADD
#ifdef BENCH
printf ("#an bn t(µs)\n");
#endif
for (an = 2; an <= max_add; an += 1)
{
for (bn = 1; bn <= an; bn += 1)
{
elapsed = 0;
nb_iter = 1000;
for (int iter = 0; iter != nb_iter; ++iter) {
init_valid (ap, bp, an, bn);
nb = 10000 / an;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0; i != nb; ++i)
{
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
refc = mpn_add (refp, ap, an, bp, bn);
#endif
#ifdef TEST_WHY3
c = wmpn_add (rp, ap, an, bp, bn);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %d %g\n", (int)an, (int)bn, elapsed);
if (an==bn)
printf ("\n"); //for gnuplot
#endif
#ifdef COMPARE
rn = an;
if (mpn_cmp (refp, rp, rn))
{
printf ("ERROR, an = %d, bn = %d, rn = %d\n",
(int) an, (int) bn, (int) rn);
printf ("a: "); mpn_dump (ap, an);
printf ("b: "); mpn_dump (bp, bn);
printf ("r: "); mpn_dump (rp, rn);
printf ("ref: "); mpn_dump (refp, rn);
abort();
}
if (c != refc)
{
printf ("ERROR, an = %d, bn = %d, rn = %d\n",
(int) an, (int) bn, (int) rn);
printf ("a: "); mpn_dump (ap, an);
printf ("b: "); mpn_dump (bp, bn);
printf ("c: %016lx\n", c);
printf ("refc: %016lx\n", refc);
abort();
}
#endif
}
}
#ifdef COMPARE
printf ("addition ok\n");
#endif
#endif
#ifdef TEST_MUL
#ifdef BENCH
printf ("#an bn t(µs)\n");
#endif
for (an = 2; an <= max_mul; an += 1)
{
for (bn = 1; bn <= an; bn += 1)
{
elapsed = 0;
nb_iter = 500;
for (int iter = 0; iter != nb_iter; ++iter) {
init_valid (ap, bp, an, bn);
nb = 5000 / an;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0; i != nb; ++i)
{
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
mpn_mul (refp, ap, an, bp, bn);
#endif
#ifdef TEST_WHY3
wmpn_mul (rp, ap, an, bp, bn);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %d %g\n", (int)an, (int)bn, elapsed);
if (an==bn)
printf ("\n"); //for gnuplot
#endif
#ifdef COMPARE
rn = an + bn;
if (mpn_cmp (refp, rp, rn))
{
printf ("ERROR, an = %d, bn = %d, rn = %d\n",
(int) an, (int) bn, (int) rn);
printf ("a: "); mpn_dump (ap, an);
printf ("b: "); mpn_dump (bp, bn);
printf ("r: "); mpn_dump (rp, rn);
printf ("ref: "); mpn_dump (refp, rn);
abort();
}
#endif
}
}
#ifdef COMPARE
printf ("multiplication ok\n");
#endif
#endif
#ifdef TEST_TOOMB
#ifdef BENCH
printf ("#an bn t(µs)\n");
#endif
for (bn = 5; bn <= max_toom * 10; bn = (int)ceil(bn * 1.1))
{
//mp_ptr ws = TMP_ALLOC_LIMBS(9 * bn / 2 + 32);
//an = (bn * 3) / 2;
an = bn;
elapsed = 0;
nb_iter = 500;
for (int iter = 0; iter != nb_iter; ++iter) {
init_valid (ap, bp, an, bn);
nb = 5000 / bn;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0, maxi = nb; i != maxi; ++i)
{
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
mpn_mul (refp, ap, an, bp, bn);
#endif
#ifdef TEST_WHY3
wmpn_mul (rp, ap, an, bp, bn);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %d %g\n", (int)an, (int)bn, elapsed);
#endif
#ifdef COMPARE
rn = an + bn;
if (mpn_cmp (refp, rp, rn))
{
printf ("ERROR, an = %d, bn = %d, rn = %d\n",
(int) an, (int) bn, (int) rn);
printf ("a: "); mpn_dump (ap, an);
printf ("b: "); mpn_dump (bp, bn);
printf ("r: "); mpn_dump (rp, rn);
printf ("ref: "); mpn_dump (refp, rn);
abort();
}
#endif
//free(ws);
}
#ifdef COMPARE
printf ("balanced toom ok\n");
#endif
#endif //TOOMB
#ifdef TEST_TOOMM
#ifdef BENCH
printf ("#an bn t(µs)\n");
#endif
for (bn = 5; bn <= max_toom * 5; bn = (int)ceil(bn * 1.1))
{
//mp_ptr ws = TMP_ALLOC_LIMBS(9 * bn / 2 + 32);
//an = (bn * 3) / 2;
an = 6 * bn;
elapsed = 0;
nb_iter = 300;
for (int iter = 0; iter != nb_iter; ++iter) {
init_valid (ap, bp, an, bn);
nb = 5000 / bn;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0, maxi = nb; i != maxi; ++i)
{
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
mpn_mul (refp, ap, an, bp, bn);
#endif
#ifdef TEST_WHY3
wmpn_mul (rp, ap, an, bp, bn);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %d %g\n", (int)an, (int)bn, elapsed);
#endif
#ifdef COMPARE
rn = an + bn;
if (mpn_cmp (refp, rp, rn))
{
printf ("ERROR, an = %d, bn = %d, rn = %d\n",
(int) an, (int) bn, (int) rn);
printf ("a: "); mpn_dump (ap, an);
printf ("b: "); mpn_dump (bp, bn);
printf ("r: "); mpn_dump (rp, rn);
printf ("ref: "); mpn_dump (refp, rn);
abort();
}
#endif
//free(ws);
}
#ifdef COMPARE
printf ("medium toom ok\n");
#endif
#endif //TOOMM
#ifdef TEST_TOOMU
#ifdef BENCH
printf ("#an bn t(µs)\n");
#endif
for (bn = 5; bn <= max_toom * 5 ;bn = (int)ceil(bn * 1.1))
{
//mp_ptr ws = TMP_ALLOC_LIMBS(9 * bn / 2 + 32);
//an = (bn * 3) / 2;
an = 24 * bn;
elapsed = 0;
nb_iter = 100;
for (int iter = 0; iter != nb_iter; ++iter) {
init_valid (ap, bp, an, bn);
nb = 5000 / bn;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0, maxi = nb; i != maxi; ++i)
{
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
mpn_mul (refp, ap, an, bp, bn);
#endif
#ifdef TEST_WHY3
wmpn_mul (rp, ap, an, bp, bn);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %d %g\n", (int)an, (int)bn, elapsed);
#endif
#ifdef COMPARE
rn = an + bn;
if (mpn_cmp (refp, rp, rn))
{
printf ("ERROR, an = %d, bn = %d, rn = %d\n",
(int) an, (int) bn, (int) rn);
printf ("a: "); mpn_dump (ap, an);
printf ("b: "); mpn_dump (bp, bn);
printf ("r: "); mpn_dump (rp, rn);
printf ("ref: "); mpn_dump (refp, rn);
abort();
}
#endif
//free(ws);
}
#ifdef COMPARE
printf ("unbalanced toom ok\n");
#endif
#endif //TOOMU
#ifdef TEST_DIV
#ifdef BENCH
printf ("#an bn t(µs) dt(µs)\n");
#endif
for (an = 2; an <= max_div; an += 1)
{
for (bn = 1; bn <= an; bn += 1)
{
elapsed = 0;
elapsed2 = 0;
nb_iter = 1000;
for (int iter = 0; iter != nb_iter; ++iter) {
init_valid (ap, bp, an, bn);
#ifdef TEST_MINIGMP
mpn_copyi(refr, ap, an);
#endif
nb = 1500 / an;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0; i != nb; ++i)
{
#endif
#ifdef TEST_GMP
mpn_tdiv_qr(refq, refr, 0, ap, an, bp, bn);
#endif
#ifdef TEST_MINIGMP
mpn_div_qr (refq, refr, an, bp, bn);
#endif
#ifdef TEST_WHY3
wmpn_tdiv_qr(rq, rr, 0, ap, an, bp, bn);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
duration =
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
duration /= nb;
elapsed += duration;
elapsed2 += duration * duration;
#endif
}
elapsed /= nb_iter;
elapsed2 /= nb_iter;
#ifdef BENCH
printf ("%d %d %g %g\n", (int)an, (int)bn, elapsed, sqrt(elapsed2 - elapsed*elapsed));
if (an==bn)
printf ("\n\n"); //for gnuplot
#endif
#ifdef COMPARE
rn = bn;
if (mpn_cmp (refr, rr, rn))
{
printf ("ERROR, an = %d, bn = %d, rn = %d\n",
(int) an, (int) bn, (int) rn);
printf ("a: "); mpn_dump (ap, an);
printf ("b: "); mpn_dump (bp, bn);
printf ("q: "); mpn_dump (rq, an-bn+2);
printf ("refq: "); mpn_dump (refq, an-bn+2);
printf ("r: "); mpn_dump (rr, rn);
printf ("refr: "); mpn_dump (refr, rn);
abort();
}
rn = an - bn + 1;
if (mpn_cmp (refq, rq, rn))
{
printf ("ERROR, an = %d, bn = %d, qn = %d\n",
(int) an, (int) bn, (int) rn);
printf ("a: "); mpn_dump (ap, an);
printf ("b: "); mpn_dump (bp, bn);
printf ("q: "); mpn_dump (rq, rn);
printf ("refq: "); mpn_dump (refq, rn);
abort();
}
#endif
}
}
#ifdef COMPARE
printf ("division ok\n");
#endif
#endif // TEST_DIV
#ifdef TEST_SQRT1
#ifdef BENCH
printf ("#t(s)\n");
#endif
elapsed = 0;
an = bn = rn = 1;
for (int iter = 0; iter != 500; ++iter) {
init_valid (bp, ap, 1, 1);
a = *ap;
if (a < 0x4000000000000000) continue;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0; i != 100; ++i)
{
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
mpn_sqrtrem (refr, refp, ap, 1);
refc = *refr;
#endif
#ifdef TEST_WHY3
c = sqrt1 (rp, a);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec)
+ ((end.tv_usec - begin.tv_usec)/1000000.0)
printf ("%g\n", elapsed);
#endif
#ifdef COMPARE
if (mpn_cmp (refp, rp, rn) || c != refc)
{
printf ("ERROR, i=%d\n",
(int) iter);
printf ("a: "); mpn_dump (ap, an);
printf ("r: "); mpn_dump (rp, rn);
printf ("ref: "); mpn_dump (refp, rn);
printf ("c: %016lx\n", c);
printf ("refc: %016lx\n", refc);
abort();
}
#endif
}
#ifdef COMPARE
printf ("sqrt1 ok\n");
#endif
#endif
#ifdef TEST_SQRTREM
#ifdef BENCH
printf ("#an t(µs)\n");
#endif
bn=1;
for (an = 1; an <= max_sqrt * 15; an = (int)ceil(an * 1.1))
{
elapsed = 0;
nb_iter = 1000;
for (int iter = 0; iter != nb_iter; ++iter) {
init_valid (bp, ap, 1, an);
#ifdef TEST_MINIGMP
mpn_copyi(refr, ap, an);
#endif
#ifdef BENCH
gettimeofday(&begin, NULL);
nb = 1500 / an;
for (int i = 0; i != nb; ++i)
{
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
rn = mpn_sqrtrem(refq, refr, ap, an);
#endif
#ifdef TEST_WHY3
cn = wmpn_sqrtrem(rq, rr, ap, an);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %g\n", (int)an, elapsed);
#endif
#ifdef COMPARE
if (cn != rn)
{
printf ("ERROR, an = %d, expected rn = %d, actual rn = %d\n",
(int) an, (int) rn, (int) cn);
printf ("a: "); mpn_dump (ap, an);
printf ("s: "); mpn_dump (rq, (an+1)/2);
printf ("refs: "); mpn_dump (refq, (an+1)/2);
printf ("r: "); mpn_dump (rr, cn);
printf ("refr: "); mpn_dump (refr, rn);
abort ();
}
if (mpn_cmp (refr, rr, rn))
{
printf ("ERROR, an = %d, rn = %d\n",
(int) an, (int) rn);
printf ("a: "); mpn_dump (ap, an);
printf ("s: "); mpn_dump (rq, (an+1)/2);
printf ("refs: "); mpn_dump (refq, (an+1)/2);
printf ("r: "); mpn_dump (rr, rn);
printf ("refr: "); mpn_dump (refr, rn);
abort();
}
if (mpn_cmp (refq, rq, (an+1)/2))
{
printf ("ERROR, an = %d, rn = %d\n",
(int) an, (int) rn);
printf ("a: "); mpn_dump (ap, an);
printf ("s: "); mpn_dump (rq, (an+1)/2);
printf ("refs: "); mpn_dump (refq, (an+1)/2);
printf ("r: "); mpn_dump (rr, rn);
printf ("refr: "); mpn_dump (refr, rn);
abort();
}
#endif
}
#ifdef COMPARE
printf ("sqrtrem ok\n");
#endif
#endif
#ifdef TEST_POWM
#ifdef TEST_MINIGMP
printf ("powm not available in mini-GMP\n");
goto skip;
#endif
#ifdef BENCH
printf ("#an bn t(µs)\n");
#endif
for (an = 2; an <= max_powm; an += 5)
{
for (rn = 1; rn <= max_powm; rn += 5)
{
elapsed = 0;
nb_iter = 1;
for (int iter = 0; iter != nb_iter; ++iter) {
init_valid_1 (ap, an);
init_valid_1 (ep, an);
init_valid_1 (tp, 2 * rn);
init_valid_1 (mp, rn);
mp[0] |= 1;
nb = 150 / an;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0; i != nb; ++i)
{
#endif
#ifdef TEST_GMP
__gmpn_powm(refr, ap, an, ep, an, mp, rn, tp);
#endif
#ifdef TEST_WHY3
wmpn_powm(rr, ap, an, ep, an, mp, rn, tp);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %d %g\n", (int)an, (int)rn, elapsed);
if (an==rn)
printf ("\n"); //for gnuplot
#endif
#ifdef COMPARE
if (mpn_cmp (refr, rr, rn))
{
printf ("ERROR, an = %d, rn = %d\n",
(int) an, (int) rn);
printf ("b: "); mpn_dump (ap, an);
printf ("e: "); mpn_dump (ep, an);
printf ("m: "); mpn_dump (mp, rn);
printf ("r: "); mpn_dump (rr, rn);
printf ("refr: "); mpn_dump (refr, rn);
abort();
}
#endif
}
}
#ifdef COMPARE
printf ("powm ok\n");
#endif
skip:
#endif
#ifdef TEST_ZADD
#ifdef BENCH
printf ("#an bn t(µs)\n");
#endif
for (an = 2; an <= max_add; an += 1)
{
for (bn = 1; bn <= an; bn += 1)
{
elapsed = 0;
nb_iter = 1000;
for (int iter = 0; iter != nb_iter; ++iter) {
init_mpz_1 (u, an);
init_mpz_1 (v, bn);
mpz_realloc (w, an+1);
mpz_realloc (refw, an+1);
nb = 10000 / an;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0; i != nb; ++i)
{
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
mpz_add (refw, u, v);
#endif
#ifdef TEST_WHY3
wmpz_add (w, u, v);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %d %g\n", (int)an, (int)bn, elapsed);
if (an==bn)
printf ("\n"); //for gnuplot
#endif
#ifdef COMPARE
compare_mpz (u, v, w, refw);
mpz_add (refw, u, u);
wmpz_add (w, u, u);
compare_mpz (u, u, w, refw);
mpz_set(w,u);
mpz_set (refw, u);
mpz_add (refw, refw, v);
wmpz_add (w, w, v);
compare_mpz (w,v,w,refw);
mpz_set(w,v);
mpz_set (refw, v);
mpz_add (refw, u, refw);
wmpz_add (w, u, w);
compare_mpz (u,w,w,refw);
#endif
}
}
#ifdef COMPARE
printf ("mpz addition ok\n");
#endif
#endif
#ifdef TEST_ZSUB
#ifdef BENCH
printf ("#an bn t(µs)\n");
#endif
for (an = 2; an <= max_add; an += 1)
{
for (bn = 1; bn <= an; bn += 1)
{
elapsed = 0;
nb_iter = 1000;
for (int iter = 0; iter != nb_iter; ++iter) {
init_mpz_1 (u, an);
init_mpz_1 (v, bn);
mpz_realloc (w, an+1);
mpz_realloc (refw, an+1);
nb = 10000 / an;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0; i != nb; ++i)
{
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
mpz_sub (refw, u, v);
#endif
#ifdef TEST_WHY3
wmpz_sub (w, u, v);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %d %g\n", (int)an, (int)bn, elapsed);
if (an==bn)
printf ("\n"); //for gnuplot
#endif
#ifdef COMPARE
compare_mpz (u, v, w, refw);
mpz_sub (refw, u, u);
wmpz_sub (w, u, u);
compare_mpz (u, u, w, refw);
mpz_set(w,u);
mpz_set (refw, u);
mpz_sub (refw, refw, v);
wmpz_sub (w, w, v);
compare_mpz (w,v,w,refw);
mpz_set(w,v);
mpz_set (refw, v);
mpz_sub (refw, u, refw);
wmpz_sub (w, u, w);
compare_mpz (u,w,w,refw);
#endif
}
}
#ifdef COMPARE
printf ("mpz subtraction ok\n");
#endif
#endif
#ifdef TEST_ZMUL
#ifdef BENCH
printf ("#an bn t(µs)\n");
#endif
for (an = 2; an <= max_mul; an += 1)
{
for (bn = 1; bn <= an; bn += 1)
{
elapsed = 0;
nb_iter = 1000;
for (int iter = 0; iter != nb_iter; ++iter) {
init_mpz_1 (u, an);
init_mpz_1 (v, bn);
mpz_realloc (w, an+1);
mpz_realloc (refw, an+1);
nb = 10000 / an;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0; i != nb; ++i)
{
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
mpz_mul (refw, u, v);
#endif
#ifdef TEST_WHY3
wmpz_mul (w, u, v);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %d %g\n", (int)an, (int)bn, elapsed);
if (an==bn)
printf ("\n"); //for gnuplot
#endif
#ifdef COMPARE
compare_mpz (u, v, w, refw);
mpz_mul (refw, u, u);
wmpz_mul (w, u, u);
compare_mpz (u, u, w, refw);
mpz_set(w,u);
mpz_set (refw, u);
mpz_mul (refw, refw, v);
wmpz_mul (w, w, v);
compare_mpz (w,v,w,refw);
mpz_set(w,v);
mpz_set (refw, v);
mpz_mul (refw, u, refw);
wmpz_mul (w, u, w);
compare_mpz (u,w,w,refw);
#endif
}
}
#ifdef COMPARE
printf ("mpz multiplication ok\n");
#endif
#endif
#ifdef TEST_ZDIV
#ifdef BENCH
printf ("#an bn t(µs)\n");
#endif
for (an = 2; an <= max_div; an += 1)
{
for (bn = 1; bn <= an; bn += 1)
{
elapsed = 0;
nb_iter = 1000;
for (int iter = 0; iter != nb_iter; ++iter) {
init_mpz_1(u, an);
init_mpz_1(v, bn);
mpz_realloc (q, an - bn + 1);
mpz_realloc (r, bn);
nb = 1500 / an;
#ifdef BENCH
gettimeofday(&begin, NULL);
for (int i = 0; i != nb; ++i)
{
#endif
#ifdef TEST_GMP
mpz_tdiv_qr(refzq, refzr, u, v);
#endif
#ifdef TEST_WHY3
wmpz_tdiv_qr(q, r, u, v);
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
#endif
}
elapsed = elapsed / (nb * nb_iter);
#ifdef BENCH
printf ("%d %d %g\n", (int)an, (int)bn, elapsed);
if (an==bn)
printf ("\n"); //for gnuplot
#endif
#ifdef COMPARE
compare_mpz (u, v, q, refzq);
compare_mpz (u, v, r, refzr);
wmpz_tdiv_qr (q, r, u, u);
mpz_tdiv_qr (refzq, refzr, u, u);
compare_mpz (u, v, q, refzq);
compare_mpz (u, v, r, refzr);
mpz_set (w, u);
mpz_set (refw, u);
wmpz_tdiv_qr (w, r, w, v);
mpz_tdiv_qr (refw, refzr, refw, v);
compare_mpz (u, v, w, refw);
compare_mpz (u, v, r, refzr);
mpz_set (w, u);
mpz_set (refw, u);
wmpz_tdiv_qr (q, w, w, v);
mpz_tdiv_qr (refzq, refw, refw, v);
compare_mpz (u, v, w, refw);
compare_mpz (u, v, r, refzr);
mpz_set (q, u);
mpz_set (refzq, u);
mpz_set (r, v);
mpz_set (refzr, v);
wmpz_tdiv_qr (q, r, q, r);
mpz_tdiv_qr (refzq, refzr, refzq, refzr);
compare_mpz (u, v, q, refzq);
compare_mpz (u, v, r, refzr);
mpz_set (r, u);
mpz_set (refzr, u);
mpz_set (q, v);
mpz_set (refzq, v);
wmpz_tdiv_qr (q, r, r, q);
mpz_tdiv_qr (refzq, refzr, refzr, refzq);
compare_mpz (u, v, q, refzq);
compare_mpz (u, v, r, refzr);
#endif
}
}
#ifdef COMPARE
printf ("mpz division ok\n");
#endif
#endif //TEST_ZDIV
#ifdef TEST_MILLERRABIN
#define REPS 25
nb_iter = 50;
for (int len = 16; len <= 200; len = (int)ceil(len * 1.1)) {
#ifdef BENCH
elapsed = 0;
for (int i = 0; i < nb_iter; i++) {
#endif
mr_candidate(cp, len);
#ifdef BENCH
gettimeofday(&begin, NULL);
#endif
c = wmpz_millerrabin(cp,REPS);
// if (c > 0)
//printf (" at step %d\n", i);
#ifdef BENCH
gettimeofday(&end, NULL);
elapsed +=
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
}
elapsed = elapsed/nb_iter;
printf ("%d %g\n", len, elapsed);
#endif
#ifdef COMPARE
refc = mpz_millerrabin(cp,REPS);
if (c != refc) {
printf ("c %ld refc %ld\n", c, refc);
abort ();
}
#endif
}
#ifdef COMPARE
printf ("Miller-Rabin ok\n");
#endif
#endif // TEST_MILLERRABIN
#ifdef TEST_ZGETSET
nb_iter = 1000;
for (int len = 1; len < max_getset; len = (int)ceil(len * 1.1)) {
#ifdef BENCH
elapsed = 0;
for (base = 2; base <= 36; base++) {
#else
for (base = -36; base <= 62; base++) {
if (-2 < base && base < 2)
continue;
#endif
for (int iter = 0; iter != nb_iter; ++iter) {
init_mpz_1(u,len);
#ifdef BENCH
nb = 500 / len;
gettimeofday(&begin, NULL);
for (int i = 0; i != nb; ++i) {
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
mpz_get_str(refsp, base, u);
#endif
#ifdef TEST_WHY3
wmpz_get_str(sp, base, u);
#endif
#ifdef COMPARE
if (strcmp(sp, refsp)) {
printf ("ERROR in wmpz_get_str, len = %d, base = %d :\n", len, base);
mpn_dump (PTR(u), len);
printf ("sp %s refsp %s\n", sp, refsp);
abort ();
}
#endif
#if defined(TEST_GMP) || defined(TEST_MINIGMP)
refc = mpz_set_str(refw, refsp, abs (base));
#endif
#ifdef TEST_WHY3
c = wmpz_set_str(w, refsp, abs (base));
#endif
#ifdef COMPARE
if (c != refc) {
printf ("ERROR in wmpz_set_str, c = %ld refc = %ld : \n", c, refc);
printf ("base %d, sp %s, refsp %s, strlen %lu\n",
base, sp, refsp, strlen(refsp));
printf ("w: "); mpn_dump (PTR(w), abs SIZ(w));
printf ("refw: "); mpn_dump (PTR(refw), abs SIZ(refw));
abort();
}
if (mpz_cmp(w, refw)) {
printf ("ERROR, an = %d\n", SIZ(u));
printf ("a: "); mpn_dump (PTR(u), len);
printf ("r: "); mpn_dump (PTR(w), abs SIZ(w));
printf ("ref: "); mpn_dump (PTR(refw), abs SIZ(refw));
abort();
}
#endif
#ifdef BENCH
}
gettimeofday(&end, NULL);
duration =
(end.tv_sec - begin.tv_sec) * 1000000.0
+ (end.tv_usec - begin.tv_usec);
elapsed += duration / nb;
#endif
}
}
#ifdef BENCH
elapsed = elapsed / nb_iter;
printf ("%d %g\n", len, elapsed);
#endif
}
#ifdef COMPARE
printf ("mpz get/set_str ok\n");
#endif
#endif // TEST_ZGETSET
//TMP_FREE;
//tests_end ();
return 0;
}
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