/* Copyright (C) 2018 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" int main(void) { slong i, v; FLINT_TEST_INIT(state); flint_printf("compose_fq_nmod_poly...."); fflush(stdout); { fq_nmod_poly_t A; fq_nmod_mpoly_t B; fq_nmod_poly_struct * Cp[3]; fq_nmod_poly_struct C[3]; fq_nmod_mpoly_ctx_t ctxB; fmpz one = 1, two = 2, three = 3; fq_nmod_mpoly_ctx_init_deg(ctxB, 3, ORD_LEX, 13, 3); fq_nmod_mpoly_init(B, ctxB); fq_nmod_poly_init(A, ctxB->fqctx); for (i = 0; i < 3; i++) { Cp[i] = C + i; fq_nmod_poly_init(C + i, ctxB->fqctx); } fq_nmod_mpoly_set_str_pretty(B, "1 + x1*x2^2 + x2^9999999999999999999999999*x3^9", NULL, ctxB); fq_nmod_poly_zero(C + 0, ctxB->fqctx); fq_nmod_poly_zero(C + 1, ctxB->fqctx); fq_nmod_poly_zero(C + 2, ctxB->fqctx); fq_nmod_poly_set_coeff_fmpz(C + 0, 1, &one, ctxB->fqctx); fq_nmod_poly_set_coeff_fmpz(C + 1, 2, &two, ctxB->fqctx); fq_nmod_poly_set_coeff_fmpz(C + 2, 3, &three, ctxB->fqctx); if (fq_nmod_mpoly_compose_fq_nmod_poly(A, B, Cp, ctxB)) { printf("FAIL\n"); flint_printf("Check non-example 1\n", i); flint_abort(); } fq_nmod_poly_zero(C + 0, ctxB->fqctx); fq_nmod_poly_zero(C + 1, ctxB->fqctx); fq_nmod_poly_zero(C + 2, ctxB->fqctx); fq_nmod_poly_set_coeff_fmpz(C + 0, 0, &one, ctxB->fqctx); fq_nmod_poly_set_coeff_fmpz(C + 1, 0, &two, ctxB->fqctx); fq_nmod_poly_set_coeff_fmpz(C + 2, 0, &three, ctxB->fqctx); if (!fq_nmod_mpoly_compose_fq_nmod_poly(A, B, Cp, ctxB)) { printf("FAIL\n"); flint_printf("Check example 2\n", i); flint_abort(); } if (!fq_nmod_poly_is_zero(A, ctxB->fqctx)) { printf("FAIL\n"); flint_printf("Check example 2 equality\n", i); flint_abort(); } fq_nmod_mpoly_clear(B, ctxB); fq_nmod_poly_clear(A, ctxB->fqctx); for (i = 0; i < 3; i++) fq_nmod_poly_clear(C + i, ctxB->fqctx); fq_nmod_mpoly_ctx_clear(ctxB); } /* Check composition and evalall commute */ for (i = 0; i < 20*flint_test_multiplier(); i++) { fq_nmod_mpoly_ctx_t ctx; fq_nmod_mpoly_t f; fq_nmod_poly_t g; fq_nmod_poly_struct ** vals1; fq_nmod_t fe, ge; fq_nmod_t vals2; fq_nmod_struct ** vals3; slong nvars1; slong len1, len2; slong exp_bound1; fq_nmod_mpoly_ctx_init_rand(ctx, state, 20, FLINT_BITS, 10); nvars1 = ctx->minfo->nvars; fq_nmod_mpoly_init(f, ctx); fq_nmod_poly_init(g, ctx->fqctx); fq_nmod_init(fe, ctx->fqctx); fq_nmod_init(ge, ctx->fqctx); len1 = n_randint(state, 40/nvars1 + 1); len2 = n_randint(state, 20); exp_bound1 = n_randint(state, 100/nvars1 + 2) + 1; fq_nmod_mpoly_randtest_bound(f, state, len1, exp_bound1, ctx); vals1 = (fq_nmod_poly_struct **) flint_malloc(nvars1* sizeof(fq_nmod_poly_struct *)); for (v = 0; v < nvars1; v++) { vals1[v] = (fq_nmod_poly_struct *) flint_malloc( sizeof(fq_nmod_poly_struct)); fq_nmod_poly_init(vals1[v], ctx->fqctx); fq_nmod_poly_randtest(vals1[v], state, len2, ctx->fqctx); } fq_nmod_init(vals2, ctx->fqctx); fq_nmod_randtest(vals2, state, ctx->fqctx); vals3 = (fq_nmod_struct **) flint_malloc(nvars1*sizeof(fq_nmod_struct *)); for (v = 0; v < nvars1; v++) { vals3[v] = (fq_nmod_struct *) flint_malloc(sizeof(fq_nmod_struct)); fq_nmod_init(vals3[v], ctx->fqctx); fq_nmod_poly_evaluate_fq_nmod(vals3[v], vals1[v], vals2, ctx->fqctx); } if (fq_nmod_mpoly_total_degree_si(f, ctx) < 50) { if (!fq_nmod_mpoly_compose_fq_nmod_poly(g, f, vals1, ctx)) { printf("FAIL\n"); flint_printf("Check composition success\ni: %wd\n", i); flint_abort(); } fq_nmod_mpoly_evaluate_all_fq_nmod(fe, f, vals3, ctx); fq_nmod_poly_evaluate_fq_nmod(ge, g, vals2, ctx->fqctx); if (!fq_nmod_equal(fe, ge, ctx->fqctx)) { printf("FAIL\n"); flint_printf("Check composition and evalall commute\ni: %wd\n", i); flint_abort(); } } for (v = 0; v < nvars1; v++) { fq_nmod_poly_clear(vals1[v], ctx->fqctx); flint_free(vals1[v]); } flint_free(vals1); fq_nmod_clear(vals2, ctx->fqctx); for (v = 0; v < nvars1; v++) { fq_nmod_clear(vals3[v], ctx->fqctx); flint_free(vals3[v]); } flint_free(vals3); fq_nmod_mpoly_clear(f, ctx); fq_nmod_poly_clear(g, ctx->fqctx); fq_nmod_clear(fe, ctx->fqctx); fq_nmod_clear(ge, ctx->fqctx); fq_nmod_mpoly_ctx_clear(ctx); } printf("PASS\n"); FLINT_TEST_CLEANUP(state); return 0; }