/* 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 "fq_nmod_mpoly.h" /* fq_nmod_poly_resultant is missing */ #if 0 void test_resultant( const fq_nmod_mpoly_t fx, const fq_nmod_mpoly_t gx, const fq_nmod_mpoly_ctx_t ctx) { fq_nmod_mpoly_univar_t F, G; fq_nmod_poly_t f, g; fq_nmod_mpoly_t R; fq_nmod_t r; fq_nmod_mpoly_univar_init(F, ctx); fq_nmod_mpoly_univar_init(G, ctx); fq_nmod_poly_init(f, ctx->fqctx); fq_nmod_poly_init(g, ctx->fqctx); fq_nmod_mpoly_init(R, ctx); fq_nmod_init(r, ctx->fqctx); fq_nmod_mpoly_get_fq_nmod_poly(f, fx, 0, ctx); fq_nmod_mpoly_get_fq_nmod_poly(g, gx, 0, ctx); fq_nmod_poly_resultant(r, f, g, ctx->fqctx); fq_nmod_mpoly_to_univar(F, fx, 0, ctx); fq_nmod_mpoly_to_univar(G, gx, 0, ctx); fq_nmod_mpoly_univar_resultant(R, F, G, ctx); if (!fq_nmod_mpoly_equal_fq_nmod(R, r, ctx)) { flint_printf("FAIL: Check resultant against univariate\n"); flint_printf("fx: "); fq_nmod_mpoly_print_pretty(fx, NULL, ctx); flint_printf("\n"); flint_printf("gx: "); fq_nmod_mpoly_print_pretty(gx, NULL, ctx); flint_printf("\n"); flint_printf("R: "); fq_nmod_mpoly_print_pretty(R, NULL, ctx); flint_printf("\n"); flint_printf("r: %wu\n", r); flint_abort(); } fq_nmod_clear(r, ctx->fqctx); fq_nmod_mpoly_univar_clear(F, ctx); fq_nmod_mpoly_univar_clear(G, ctx); fq_nmod_poly_clear(f, ctx->fqctx); fq_nmod_poly_clear(g, ctx->fqctx); fq_nmod_mpoly_clear(R, ctx); } #endif int main(void) { FLINT_TEST_INIT(state); flint_printf("univar_resultant...."); fflush(stdout); { fq_nmod_mpoly_ctx_t ctx; fq_nmod_mpoly_t t, s; fq_nmod_mpoly_univar_t f; const char * vars[] = {"a", "b", "c", "d"}; fq_nmod_mpoly_ctx_init_deg(ctx, 4, ORD_DEGLEX, 3, 4); fq_nmod_mpoly_init(t, ctx); fq_nmod_mpoly_init(s, ctx); fq_nmod_mpoly_univar_init(f, ctx); fq_nmod_mpoly_univar_zero(f, ctx); fq_nmod_mpoly_set_str_pretty(t, "a", vars, ctx); fq_nmod_mpoly_univar_set_coeff_ui(f, 1, t, ctx); fq_nmod_mpoly_set_str_pretty(t, "b", vars, ctx); fq_nmod_mpoly_univar_set_coeff_ui(f, 0, t, ctx); fq_nmod_mpoly_set_str_pretty(t, "1", vars, ctx); fq_nmod_mpoly_univar_discriminant(s, f, ctx); if (!fq_nmod_mpoly_equal(s, t, ctx)) { flint_printf("FAIL: check linear discriminant\n"); flint_abort(); } fq_nmod_mpoly_univar_zero(f, ctx); fq_nmod_mpoly_set_str_pretty(t, "a", vars, ctx); fq_nmod_mpoly_univar_set_coeff_ui(f, 2, t, ctx); fq_nmod_mpoly_set_str_pretty(t, "b", vars, ctx); fq_nmod_mpoly_univar_set_coeff_ui(f, 1, t, ctx); fq_nmod_mpoly_set_str_pretty(t, "c", vars, ctx); fq_nmod_mpoly_univar_set_coeff_ui(f, 0, t, ctx); fq_nmod_mpoly_set_str_pretty(t, "b^2-4*a*c", vars, ctx); fq_nmod_mpoly_univar_discriminant(s, f, ctx); if (!fq_nmod_mpoly_equal(s, t, ctx)) { flint_printf("FAIL: check quadratic discriminant\n"); flint_abort(); } fq_nmod_mpoly_univar_zero(f, ctx); fq_nmod_mpoly_set_str_pretty(t, "a", vars, ctx); fq_nmod_mpoly_univar_set_coeff_ui(f, 3, t, ctx); fq_nmod_mpoly_set_str_pretty(t, "b", vars, ctx); fq_nmod_mpoly_univar_set_coeff_ui(f, 2, t, ctx); fq_nmod_mpoly_set_str_pretty(t, "c", vars, ctx); fq_nmod_mpoly_univar_set_coeff_ui(f, 1, t, ctx); fq_nmod_mpoly_set_str_pretty(t, "d", vars, ctx); fq_nmod_mpoly_univar_set_coeff_ui(f, 0, t, ctx); fq_nmod_mpoly_set_str_pretty(t, "b^2*c^2-4*a*c^3-4*b^3*d-27*a^2*d^2+18*a*b*c*d", vars, ctx); fq_nmod_mpoly_univar_discriminant(s, f, ctx); if (!fq_nmod_mpoly_equal(s, t, ctx)) { flint_printf("FAIL: check cubic discriminant\n"); flint_abort(); } fq_nmod_mpoly_clear(t, ctx); fq_nmod_mpoly_clear(s, ctx); fq_nmod_mpoly_univar_clear(f, ctx); fq_nmod_mpoly_ctx_clear(ctx); } #if 0 for (i = 0; i < 10 * flint_test_multiplier(); i++) { fq_nmod_mpoly_ctx_t ctx; fq_nmod_mpoly_t f, g, t; mp_limb_t modulus; modulus = n_randint(state, FLINT_BITS - 1) + 1; modulus = n_randbits(state, modulus); modulus = n_nextprime(modulus, 1); fq_nmod_mpoly_ctx_init_rand(ctx, state, 1, modulus); fq_nmod_mpoly_init(f, ctx); fq_nmod_mpoly_init(g, ctx); fq_nmod_mpoly_init(t, ctx); for (j = 0; j < 10; j++) { fq_nmod_mpoly_randtest_bound(f, state, 3, 3, ctx); if (fq_nmod_mpoly_is_zero(f, ctx)) fq_nmod_mpoly_one(f, ctx); fq_nmod_mpoly_zero(g, ctx); while (fq_nmod_mpoly_degree_si(f, 0, ctx) < 100) { fq_nmod_mpoly_randtest_bound(t, state, 5, 10, ctx); fq_nmod_mpoly_mul(t, t, f, ctx); fq_nmod_mpoly_add(g, g, t, ctx); fq_nmod_mpoly_swap(f, g, ctx); } fq_nmod_mpoly_randtest_bound(f, state, 20, 50, ctx); fq_nmod_mpoly_randtest_bound(g, state, 20, 50, ctx); test_resultant(f, g, ctx); } fq_nmod_mpoly_clear(f, ctx); fq_nmod_mpoly_clear(g, ctx); fq_nmod_mpoly_clear(t, ctx); fq_nmod_mpoly_ctx_clear(ctx); } #endif FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }