/*
Copyright (C) 2020 Daniel Schultz
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See .
*/
#include
#include
#include "fmpz_mpoly.h"
void gcd_check(
fmpz_mpoly_t g,
fmpz_mpoly_t abar,
fmpz_mpoly_t bbar,
fmpz_mpoly_t a,
fmpz_mpoly_t b,
const fmpz_mpoly_t gdiv,
fmpz_mpoly_ctx_t ctx,
slong i,
slong j,
const char * name)
{
int res;
fmpz_mpoly_t ca, cb, cg, u, v, w;
fmpz_mpoly_init(ca, ctx);
fmpz_mpoly_init(cb, ctx);
fmpz_mpoly_init(cg, ctx);
fmpz_mpoly_init(u, ctx);
fmpz_mpoly_init(v, ctx);
fmpz_mpoly_init(w, ctx);
res = fmpz_mpoly_gcd_cofactors(g, abar, bbar, a, b, ctx);
fmpz_mpoly_assert_canonical(g, ctx);
fmpz_mpoly_assert_canonical(abar, ctx);
fmpz_mpoly_assert_canonical(bbar, ctx);
if (!res)
{
flint_printf("Check gcd can be computed\n"
"i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
if (!fmpz_mpoly_is_zero(gdiv, ctx))
{
if (!fmpz_mpoly_divides(ca, g, gdiv, ctx))
{
printf("FAIL\n");
flint_printf("Check divisor of gcd\n"
"i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
}
fmpz_mpoly_mul(ca, g, abar, ctx);
fmpz_mpoly_mul(cb, g, bbar, ctx);
if (!fmpz_mpoly_equal(ca, a, ctx) || !fmpz_mpoly_equal(cb, b, ctx))
{
printf("FAIL\n");
flint_printf("Check cofactors i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
if (fmpz_mpoly_is_zero(g, ctx))
{
if (!fmpz_mpoly_is_zero(a, ctx) || !fmpz_mpoly_is_zero(b, ctx))
{
printf("FAIL\n");
flint_printf("Check zero gcd only results from zero inputs\n"
"i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
goto cleanup;
}
if (fmpz_sgn(g->coeffs + 0) <= 0)
{
printf("FAIL\n");
flint_printf("Check gcd has positive lc\n"
"i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(u, b, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, a, u, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (a, u): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(v, b, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, a, v, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (a, v): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(w, b, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, a, w, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (a, w): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(u, a, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, u, b, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (u, b): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(v, a, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, v, b, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (v, b): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(w, a, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, w, b, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (w, b): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(u, a, ctx);
fmpz_mpoly_set(v, b, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, u, v, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (u, v): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(v, a, ctx);
fmpz_mpoly_set(u, b, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, v, u, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (v, u): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(u, a, ctx);
fmpz_mpoly_set(w, b, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, u, w, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (u, w): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(w, a, ctx);
fmpz_mpoly_set(u, b, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, w, u, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (w, u): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(v, a, ctx);
fmpz_mpoly_set(w, b, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, v, w, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (v, w): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
fmpz_mpoly_set(w, a, ctx);
fmpz_mpoly_set(v, b, ctx);
fmpz_mpoly_gcd_cofactors(u, v, w, w, v, ctx);
if (!fmpz_mpoly_equal(g, u, ctx) || !fmpz_mpoly_equal(abar, v, ctx) || !fmpz_mpoly_equal(bbar, w, ctx))
{
flint_printf("FAIL (u, v, w), (w, v): i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
res = fmpz_mpoly_gcd_cofactors(cg, ca, cb, abar, bbar, ctx);
fmpz_mpoly_assert_canonical(cg, ctx);
if (!res)
{
printf("FAIL\n");
flint_printf("Check gcd of cofactors can be computed\n"
"i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
if (!fmpz_mpoly_is_one(cg, ctx))
{
printf("FAIL\n");
flint_printf("Check gcd of cofactors is one\n"
"i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
if (!fmpz_mpoly_equal(ca, abar, ctx) || !fmpz_mpoly_equal(cb, bbar, ctx))
{
printf("FAIL\n");
flint_printf("Check cofactors of cofactors\n"
"i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
res = fmpz_mpoly_gcd_cofactors(cg, abar, bbar, abar, bbar, ctx);
fmpz_mpoly_assert_canonical(cg, ctx);
if (!fmpz_mpoly_equal(ca, abar, ctx) || !fmpz_mpoly_equal(cb, bbar, ctx))
{
printf("FAIL\n");
flint_printf("Check cofactors of cofactors with aliasing\n"
"i = %wd, j = %wd, %s\n", i, j, name);
flint_abort();
}
cleanup:
fmpz_mpoly_clear(ca, ctx);
fmpz_mpoly_clear(cb, ctx);
fmpz_mpoly_clear(cg, ctx);
fmpz_mpoly_clear(u, ctx);
fmpz_mpoly_clear(v, ctx);
fmpz_mpoly_clear(w, ctx);
}
int
main(void)
{
const slong max_threads = 5;
slong i, j, k, tmul = 2;
FLINT_TEST_INIT(state);
#ifdef _WIN32
tmul = 1;
#endif
flint_printf("gcd_cofactors....");
fflush(stdout);
for (i = 3; i <= 0*7; i++)
{
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t g, abar, bbar, a, b, t;
fmpz_mpoly_ctx_init(ctx, i, ORD_DEGREVLEX);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(t, ctx);
fmpz_mpoly_one(g, ctx);
fmpz_mpoly_one(a, ctx);
fmpz_mpoly_one(b, ctx);
for (j = 0; j < i; j++)
{
fmpz_mpoly_gen(t, j, ctx);
fmpz_mpoly_add_ui(t, t, 1, ctx);
fmpz_mpoly_mul(g, g, t, ctx);
fmpz_mpoly_gen(t, j, ctx);
fmpz_mpoly_sub_ui(t, t, 2, ctx);
fmpz_mpoly_mul(a, a, t, ctx);
fmpz_mpoly_gen(t, j, ctx);
fmpz_mpoly_add_ui(t, t, 2, ctx);
fmpz_mpoly_mul(b, b, t, ctx);
}
fmpz_mpoly_sub_ui(g, g, 2, ctx);
fmpz_mpoly_add_ui(a, a, 2, ctx);
fmpz_mpoly_sub_ui(b, b, 2, ctx);
fmpz_mpoly_mul(a, a, g, ctx);
fmpz_mpoly_mul(b, b, g, ctx);
fmpz_mpoly_set(t, g, ctx);
gcd_check(g, abar, bbar, a, b, t, ctx, i, 0, "dense examples");
flint_set_num_threads(n_randint(state, max_threads) + 1);
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(t, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
if (0) {
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t g, abar, bbar, a, b, t;
const char * vars[] = {"t" ,"x", "y", "z"};
fmpz_mpoly_ctx_init(ctx, 4, ORD_LEX);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(t, ctx);
fmpz_mpoly_set_str_pretty(t, "39 - t*x + 39*x^100 - t*x^101 + 39*x^3*y - t*x^4*y - 7*x^2*y^3*z^11 - 7*x^102*y^3*z^11 - 7*x^5*y^4*z^11 + 78*t^15*x^78*y^3*z^13 - 2*t^16*x^79*y^3*z^13 + x^1000*y^3*z^20 + x^1100*y^3*z^20 + x^1003*y^4*z^20 - 14*t^15*x^80*y^6*z^24 + 2*t^15*x^1078*y^6*z^33", vars, ctx);
fmpz_mpoly_set_str_pretty(a, "39 - t*x - 7*x^2*y^3*z^11 + x^1000*y^3*z^20", vars, ctx);
fmpz_mpoly_set_str_pretty(b, "1 + x^100 + x^3*y + 2*t^15*x^78*y^3*z^13", vars, ctx);
fmpz_mpoly_mul(a, a, t, ctx);
fmpz_mpoly_mul(b, b, t, ctx);
gcd_check(g, abar, bbar, a, b, t, ctx, 0, 0, "example");
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(t, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
{
int success;
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t g, abar, bbar, a, b;
const char * vars[] = {"x" ,"y", "z", "t"};
fmpz_mpoly_ctx_init(ctx, 4, ORD_LEX);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_set_str_pretty(a, "x^3 + 1", vars, ctx);
fmpz_mpoly_set_str_pretty(b, "x^9999999999999999999999 + x^3333333333333333333333 + x", vars, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
success = fmpz_mpoly_gcd_cofactors(g, abar, bbar, a, b, ctx);
if (success)
{
flint_printf("FAIL\n");
flint_printf("Check non-example\n");
flint_abort();
}
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
{
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t g, abar, bbar, a, b, t;
const char * vars[] = {"x" ,"y", "z", "t"};
fmpz_mpoly_ctx_init(ctx, 4, ORD_LEX);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(t, ctx);
fmpz_mpoly_set_str_pretty(a, "(1 + x)^1*(2 + y)^1*(1 + z)^2", vars, ctx);
fmpz_mpoly_set_str_pretty(b, "(2 + x)^1*(1 + y)^1*(1 - z)^2", vars, ctx);
fmpz_mpoly_set_str_pretty(t, "(1 - x)^1*(2 - y)^1*(1 - z)^2", vars, ctx);
fmpz_mpoly_mul(a, a, t, ctx);
fmpz_mpoly_mul(b, b, t, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
gcd_check(g, abar, bbar, a, b, t, ctx, 0, 0, "total dense example");
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(t, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
/* The gcd should always work when one input is a monomial */
for (i = 0; i < tmul * flint_test_multiplier(); i++)
{
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t a, b, g, abar, bbar, t;
slong len, len1, len2;
flint_bitcnt_t coeff_bits, exp_bits, exp_bits1, exp_bits2;
fmpz_mpoly_ctx_init_rand(ctx, state, 10);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(t, ctx);
len = n_randint(state, 25);
len1 = n_randint(state, 50);
len2 = n_randint(state, 50);
if (n_randlimb(state) & UWORD(1))
len1 = FLINT_MIN(len1, WORD(1));
else
len2 = FLINT_MIN(len2, WORD(1));
exp_bits = n_randint(state, 70) + 2;
exp_bits1 = n_randint(state, 100) + 2;
exp_bits2 = n_randint(state, 100) + 2;
coeff_bits = n_randint(state, 200);
for (j = 0; j < 4; j++)
{
do {
fmpz_mpoly_randtest_bits(t, state, 1, coeff_bits + 1, exp_bits, ctx);
} while (t->length != 1);
fmpz_mpoly_randtest_bits(a, state, len1, coeff_bits, exp_bits1, ctx);
fmpz_mpoly_randtest_bits(b, state, len2, coeff_bits, exp_bits2, ctx);
fmpz_mpoly_mul(a, a, t, ctx);
fmpz_mpoly_mul(b, b, t, ctx);
fmpz_mpoly_randtest_bits(g, state, len, coeff_bits, exp_bits, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
gcd_check(g, abar, bbar, a, b, t, ctx, i, j, "monomial");
}
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(t, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
/* The gcd should always work when both cofactors are monomials */
for (i = 0; i < tmul * flint_test_multiplier(); i++)
{
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t a, b, g, abar, bbar, t1, t2;
slong len, len1;
flint_bitcnt_t coeff_bits, exp_bits, exp_bits1, exp_bits2;
fmpz_mpoly_ctx_init_rand(ctx, state, 10);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(t1, ctx);
fmpz_mpoly_init(t2, ctx);
len = n_randint(state, 25);
len1 = n_randint(state, 25);
exp_bits = n_randint(state, 70) + 2;
exp_bits1 = n_randint(state, 100) + 2;
exp_bits2 = n_randint(state, 100) + 2;
coeff_bits = n_randint(state, 200);
for (j = 0; j < 4; j++)
{
do {
fmpz_mpoly_randtest_bits(t1, state, 1, coeff_bits + 1, exp_bits1, ctx);
} while (t1->length != 1);
do {
fmpz_mpoly_randtest_bits(t2, state, 1, coeff_bits + 1, exp_bits2, ctx);
} while (t2->length != 1);
fmpz_mpoly_randtest_bits(a, state, len1, coeff_bits, exp_bits, ctx);
fmpz_mpoly_mul(b, a, t1, ctx);
fmpz_mpoly_mul(t2, a, t2, ctx);
fmpz_mpoly_randtest_bits(g, state, len, coeff_bits, exp_bits, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
gcd_check(g, abar, bbar, t2, b, a, ctx, i, j, "monomial cofactors");
}
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(t1, ctx);
fmpz_mpoly_clear(t2, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
/* one input divides the other */
for (i = 0; i < tmul * flint_test_multiplier(); i++)
{
fmpz_t c;
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t a, b, g, abar, bbar, t1, t2;
slong len, len1, len2;
mp_limb_t exp_bound, exp_bound1, exp_bound2;
flint_bitcnt_t coeff_bits;
fmpz_mpoly_ctx_init_rand(ctx, state, 10);
fmpz_init(c);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(t1, ctx);
fmpz_mpoly_init(t2, ctx);
len = n_randint(state, 5);
len1 = n_randint(state, 5);
len2 = n_randint(state, 5);
exp_bound = n_randint(state, 100) + 2;
exp_bound1 = n_randint(state, 100) + 2;
exp_bound2 = n_randint(state, 100) + 2;
coeff_bits = n_randint(state, 200);
for (j = 0; j < 4; j++)
{
fmpz_mpoly_randtest_bound(t1, state, len1, coeff_bits + 1, exp_bound1, ctx);
fmpz_mpoly_randtest_bound(t2, state, len2, coeff_bits + 1, exp_bound2, ctx);
fmpz_mpoly_mul(b, t1, t2, ctx);
fmpz_randtest(c, state, coeff_bits + 1);
fmpz_mpoly_scalar_mul_fmpz(a, t2, c, ctx);
fmpz_randtest(c, state, coeff_bits + 1);
fmpz_mpoly_scalar_mul_fmpz(b, b, c, ctx);
fmpz_mpoly_randtest_bound(g, state, len, coeff_bits, exp_bound, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
if ((j%2) == 0)
fmpz_mpoly_swap(a, b, ctx);
gcd_check(g, abar, bbar, a, b, t2, ctx, i, j, "one input divides the other");
}
fmpz_clear(c);
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(t1, ctx);
fmpz_mpoly_clear(t2, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
/* sparse inputs */
for (i = 0; i < tmul * flint_test_multiplier(); i++)
{
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t a, b, g, abar, bbar, t;
flint_bitcnt_t coeff_bits;
slong len, len1, len2;
slong degbound;
fmpz_mpoly_ctx_init_rand(ctx, state, 5);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(t, ctx);
len = n_randint(state, 20) + 1;
len1 = n_randint(state, 20);
len2 = n_randint(state, 20);
degbound = 25/(2*ctx->minfo->nvars - 1);
coeff_bits = n_randint(state, 200);
for (j = 0; j < 4; j++)
{
do {
fmpz_mpoly_randtest_bound(t, state, len, coeff_bits + 1, degbound, ctx);
} while (t->length == 0);
fmpz_mpoly_randtest_bound(a, state, len1, coeff_bits, degbound, ctx);
fmpz_mpoly_randtest_bound(b, state, len2, coeff_bits, degbound, ctx);
fmpz_mpoly_mul(a, a, t, ctx);
fmpz_mpoly_mul(b, b, t, ctx);
fmpz_mpoly_randtest_bits(g, state, len, coeff_bits, FLINT_BITS, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
gcd_check(g, abar, bbar, a, b, t, ctx, i, j, "sparse inputs");
}
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(t, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
/* sparse inputs with random repackings */
for (i = 0; i < tmul * flint_test_multiplier(); i++)
{
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t a, b, g, abar, bbar, t;
mp_limb_t rlimb;
flint_bitcnt_t coeff_bits, newbits;
slong len, len1, len2;
slong degbound;
fmpz_mpoly_ctx_init_rand(ctx, state, 5);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(t, ctx);
len = n_randint(state, 20) + 1;
len1 = n_randint(state, 20);
len2 = n_randint(state, 20);
degbound = 25/(2*ctx->minfo->nvars - 1);
coeff_bits = n_randint(state, 200);
for (j = 0; j < 4; j++)
{
do {
fmpz_mpoly_randtest_bound(t, state, len, coeff_bits + 1, degbound, ctx);
} while (t->length == 0);
fmpz_mpoly_randtest_bound(a, state, len1, coeff_bits, degbound, ctx);
fmpz_mpoly_randtest_bound(b, state, len2, coeff_bits, degbound, ctx);
fmpz_mpoly_mul(a, a, t, ctx);
fmpz_mpoly_mul(b, b, t, ctx);
rlimb = n_randlimb(state);
if (rlimb & UWORD(3))
{
newbits = a->bits + n_randint(state, 2*FLINT_BITS);
newbits = mpoly_fix_bits(newbits, ctx->minfo);
fmpz_mpoly_repack_bits(a, a, newbits, ctx);
}
if (rlimb & UWORD(12))
{
newbits = b->bits + n_randint(state, 2*FLINT_BITS);
newbits = mpoly_fix_bits(newbits, ctx->minfo);
fmpz_mpoly_repack_bits(b, b, newbits, ctx);
}
fmpz_mpoly_randtest_bits(g, state, len, coeff_bits, FLINT_BITS, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
gcd_check(g, abar, bbar, a, b, t, ctx, i, j, "sparse input with repacking");
}
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(t, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
/* sparse inputs with random inflations */
for (i = 0; i < tmul * flint_test_multiplier(); i++)
{
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t a, b, g, abar, bbar, t;
flint_bitcnt_t coeff_bits;
fmpz * shifts1, * shifts2, * strides;
flint_bitcnt_t stride_bits, shift_bits;
slong len, len1, len2;
slong degbound;
fmpz_mpoly_ctx_init_rand(ctx, state, 5);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(t, ctx);
len = n_randint(state, 20) + 1;
len1 = n_randint(state, 20);
len2 = n_randint(state, 20);
degbound = 25/(2*ctx->minfo->nvars - 1);
coeff_bits = n_randint(state, 200);
stride_bits = n_randint(state, 100) + 2;
shift_bits = n_randint(state, 100) + 2;
shifts1 = flint_malloc(ctx->minfo->nvars*sizeof(fmpz));
shifts2 = flint_malloc(ctx->minfo->nvars*sizeof(fmpz));
strides = flint_malloc(ctx->minfo->nvars*sizeof(fmpz));
for (k = 0; k < ctx->minfo->nvars; k++)
{
fmpz_init(shifts1 + k);
fmpz_init(shifts2 + k);
fmpz_init(strides + k);
}
for (j = 0; j < 4; j++)
{
do {
fmpz_mpoly_randtest_bound(t, state, len, coeff_bits + 1, degbound, ctx);
} while (t->length == 0);
fmpz_mpoly_randtest_bound(a, state, len1, coeff_bits, degbound, ctx);
fmpz_mpoly_randtest_bound(b, state, len2, coeff_bits, degbound, ctx);
fmpz_mpoly_mul(a, a, t, ctx);
fmpz_mpoly_mul(b, b, t, ctx);
fmpz_mpoly_randtest_bits(g, state, len, coeff_bits, FLINT_BITS, ctx);
for (k = 0; k < ctx->minfo->nvars; k++)
{
fmpz_randtest_unsigned(shifts1 + k, state, shift_bits);
fmpz_randtest_unsigned(shifts2 + k, state, shift_bits);
fmpz_randtest_unsigned(strides + k, state, stride_bits);
}
fmpz_mpoly_inflate(a, a, shifts1, strides, ctx);
fmpz_mpoly_inflate(b, b, shifts2, strides, ctx);
for (k = 0; k < ctx->minfo->nvars; k++)
{
if (fmpz_cmp(shifts1 + k, shifts2 + k) > 0)
fmpz_set(shifts1 + k, shifts2 + k);
}
fmpz_mpoly_inflate(t, t, shifts1, strides, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
gcd_check(g, abar, bbar, a, b, t, ctx, i, j, "sparse input with inflation");
}
for (k = 0; k < ctx->minfo->nvars; k++)
{
fmpz_clear(shifts1 + k);
fmpz_clear(shifts2 + k);
fmpz_clear(strides + k);
}
flint_free(shifts1);
flint_free(shifts2);
flint_free(strides);
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(t, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
/* dense inputs */
for (i = 0; i < tmul * flint_test_multiplier(); i++)
{
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t a, b, g, abar, bbar, t;
flint_bitcnt_t coeff_bits1, coeff_bits2, coeff_bits3, coeff_bits4;
slong len1, len2, len3, len4;
ulong degbounds1[4];
ulong degbounds2[4];
ulong degbounds3[4];
flint_bitcnt_t bits4;
fmpz_mpoly_ctx_init_rand(ctx, state, 4);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(t, ctx);
len1 = n_randint(state, 150) + 1;
len2 = n_randint(state, 150);
len3 = n_randint(state, 150);
len4 = n_randint(state, 150);
for (j = 0; j < ctx->minfo->nvars; j++)
{
degbounds1[j] = 1 + n_randint(state, 12/ctx->minfo->nvars);
degbounds2[j] = 1 + n_randint(state, 12/ctx->minfo->nvars);
degbounds3[j] = 1 + n_randint(state, 12/ctx->minfo->nvars);
}
bits4 = n_randint(state, 100);
coeff_bits1 = n_randint(state, 100);
coeff_bits2 = n_randint(state, 100);
coeff_bits3 = n_randint(state, 100);
coeff_bits4 = n_randint(state, 100);
for (j = 0; j < 4; j++)
{
do {
fmpz_mpoly_randtest_bounds(t, state, len1, coeff_bits1 + 1, degbounds1, ctx);
} while (t->length == 0);
fmpz_mpoly_randtest_bounds(a, state, len2, coeff_bits2, degbounds2, ctx);
fmpz_mpoly_randtest_bounds(b, state, len3, coeff_bits3, degbounds3, ctx);
fmpz_mpoly_mul(a, a, t, ctx);
fmpz_mpoly_mul(b, b, t, ctx);
fmpz_mpoly_randtest_bits(g, state, len4, coeff_bits4, bits4, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
gcd_check(g, abar, bbar, a, b, t, ctx, i, j, "dense input");
}
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(t, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
/* dense inputs with repacking */
for (i = 0; i < tmul * flint_test_multiplier(); i++)
{
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t a, b, g, abar, bbar, t;
mp_limb_t rlimb;
flint_bitcnt_t newbits;
flint_bitcnt_t coeff_bits1, coeff_bits2, coeff_bits3, coeff_bits4;
slong len1, len2, len3, len4;
ulong degbounds1[4];
ulong degbounds2[4];
ulong degbounds3[4];
flint_bitcnt_t bits4;
fmpz_mpoly_ctx_init_rand(ctx, state, 4);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(t, ctx);
len1 = n_randint(state, 150) + 1;
len2 = n_randint(state, 150);
len3 = n_randint(state, 150);
len4 = n_randint(state, 150);
for (j = 0; j < ctx->minfo->nvars; j++)
{
degbounds1[j] = 1 + n_randint(state, 12/ctx->minfo->nvars);
degbounds2[j] = 1 + n_randint(state, 12/ctx->minfo->nvars);
degbounds3[j] = 1 + n_randint(state, 12/ctx->minfo->nvars);
}
bits4 = n_randint(state, 100);
coeff_bits1 = n_randint(state, 100);
coeff_bits2 = n_randint(state, 100);
coeff_bits3 = n_randint(state, 100);
coeff_bits4 = n_randint(state, 100);
for (j = 0; j < 4; j++)
{
do {
fmpz_mpoly_randtest_bounds(t, state, len1, coeff_bits1 + 1, degbounds1, ctx);
} while (t->length == 0);
fmpz_mpoly_randtest_bounds(a, state, len2, coeff_bits2, degbounds2, ctx);
fmpz_mpoly_randtest_bounds(b, state, len3, coeff_bits3, degbounds3, ctx);
fmpz_mpoly_mul(a, a, t, ctx);
fmpz_mpoly_mul(b, b, t, ctx);
rlimb = n_randlimb(state);
if (rlimb & UWORD(3))
{
newbits = a->bits + n_randint(state, 2*FLINT_BITS);
newbits = mpoly_fix_bits(newbits, ctx->minfo);
fmpz_mpoly_repack_bits(a, a, newbits, ctx);
}
if (rlimb & UWORD(12))
{
newbits = b->bits + n_randint(state, 2*FLINT_BITS);
newbits = mpoly_fix_bits(newbits, ctx->minfo);
fmpz_mpoly_repack_bits(b, b, newbits, ctx);
}
fmpz_mpoly_randtest_bits(g, state, len4, coeff_bits4, bits4, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
gcd_check(g, abar, bbar, a, b, t, ctx, i, j, "dense input with repacking");
}
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(t, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
/* dense inputs with random inflations */
for (i = 0; i < tmul * flint_test_multiplier(); i++)
{
fmpz_mpoly_ctx_t ctx;
fmpz_mpoly_t a, b, g, abar, bbar, t;
fmpz * shifts1, * shifts2, * strides;
flint_bitcnt_t stride_bits, shift_bits;
flint_bitcnt_t coeff_bits1, coeff_bits2, coeff_bits3, coeff_bits4;
slong len1, len2, len3, len4;
ulong degbounds1[4];
ulong degbounds2[4];
ulong degbounds3[4];
flint_bitcnt_t bits4;
fmpz_mpoly_ctx_init_rand(ctx, state, 4);
fmpz_mpoly_init(g, ctx);
fmpz_mpoly_init(abar, ctx);
fmpz_mpoly_init(bbar, ctx);
fmpz_mpoly_init(a, ctx);
fmpz_mpoly_init(b, ctx);
fmpz_mpoly_init(t, ctx);
len1 = n_randint(state, 150) + 1;
len2 = n_randint(state, 150);
len3 = n_randint(state, 150);
len4 = n_randint(state, 150);
for (j = 0; j < ctx->minfo->nvars; j++)
{
degbounds1[j] = 1 + n_randint(state, 12/ctx->minfo->nvars);
degbounds2[j] = 1 + n_randint(state, 12/ctx->minfo->nvars);
degbounds3[j] = 1 + n_randint(state, 12/ctx->minfo->nvars);
}
bits4 = n_randint(state, 100);
coeff_bits1 = n_randint(state, 100);
coeff_bits2 = n_randint(state, 100);
coeff_bits3 = n_randint(state, 100);
coeff_bits4 = n_randint(state, 100);
stride_bits = n_randint(state, 100) + 2;
shift_bits = n_randint(state, 100) + 2;
shifts1 = flint_malloc(ctx->minfo->nvars*sizeof(fmpz));
shifts2 = flint_malloc(ctx->minfo->nvars*sizeof(fmpz));
strides = flint_malloc(ctx->minfo->nvars*sizeof(fmpz));
for (k = 0; k < ctx->minfo->nvars; k++)
{
fmpz_init(shifts1 + k);
fmpz_init(shifts2 + k);
fmpz_init(strides + k);
}
for (j = 0; j < 4; j++)
{
do {
fmpz_mpoly_randtest_bounds(t, state, len1, coeff_bits1 + 1, degbounds1, ctx);
} while (t->length == 0);
fmpz_mpoly_randtest_bounds(a, state, len2, coeff_bits2, degbounds2, ctx);
fmpz_mpoly_randtest_bounds(b, state, len3, coeff_bits3, degbounds3, ctx);
fmpz_mpoly_mul(a, a, t, ctx);
fmpz_mpoly_mul(b, b, t, ctx);
fmpz_mpoly_randtest_bits(g, state, len4, coeff_bits4, bits4, ctx);
for (k = 0; k < ctx->minfo->nvars; k++)
{
fmpz_randtest_unsigned(shifts1 + k, state, shift_bits);
fmpz_randtest_unsigned(shifts2 + k, state, shift_bits);
fmpz_randtest_unsigned(strides + k, state, stride_bits);
}
fmpz_mpoly_inflate(a, a, shifts1, strides, ctx);
fmpz_mpoly_inflate(b, b, shifts2, strides, ctx);
for (k = 0; k < ctx->minfo->nvars; k++)
{
if (fmpz_cmp(shifts1 + k, shifts2 + k) > 0)
fmpz_set(shifts1 + k, shifts2 + k);
}
fmpz_mpoly_inflate(t, t, shifts1, strides, ctx);
flint_set_num_threads(n_randint(state, max_threads) + 1);
gcd_check(g, abar, bbar, a, b, t, ctx, i, j, "dense input with inflation");
}
for (k = 0; k < ctx->minfo->nvars; k++)
{
fmpz_clear(shifts1 + k);
fmpz_clear(shifts2 + k);
fmpz_clear(strides + k);
}
flint_free(shifts1);
flint_free(shifts2);
flint_free(strides);
fmpz_mpoly_clear(g, ctx);
fmpz_mpoly_clear(abar, ctx);
fmpz_mpoly_clear(bbar, ctx);
fmpz_mpoly_clear(a, ctx);
fmpz_mpoly_clear(b, ctx);
fmpz_mpoly_clear(t, ctx);
fmpz_mpoly_ctx_clear(ctx);
}
FLINT_TEST_CLEANUP(state);
printf("PASS\n");
return 0;
}