/* Copyright (C) 2011, 2012 Sebastian Pancratz 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 "long_extras.h" #include "ulong_extras.h" #include "padic_poly.h" int main(void) { int i, result; padic_ctx_t ctx; fmpz_t p; slong N; FLINT_TEST_INIT(state); flint_printf("compose_pow... "); fflush(stdout); /* Aliasing */ for (i = 0; i < 100 * flint_test_multiplier(); i++) { padic_poly_t a, b, c; slong k; fmpz_init_set_ui(p, n_randtest_prime(state, 0)); N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN) + PADIC_TEST_PREC_MIN; padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES); padic_poly_init2(a, 0, N); padic_poly_init2(b, 0, N); padic_poly_init2(c, 0, N); padic_poly_randtest(a, state, n_randint(state, 100), ctx); padic_poly_set(b, a, ctx); k = n_randint(state, 20) + 1; padic_poly_compose_pow(c, b, k, ctx); padic_poly_compose_pow(b, b, k, ctx); result = (padic_poly_equal(b, c) && padic_poly_is_reduced(b, ctx)); if (!result) { flint_printf("FAIL (aliasing):\n"); padic_poly_print(a, ctx), flint_printf("\n\n"); padic_poly_print(b, ctx), flint_printf("\n\n"); padic_poly_print(c, ctx), flint_printf("\n\n"); abort(); } padic_poly_clear(a); padic_poly_clear(b); padic_poly_clear(c); padic_ctx_clear(ctx); fmpz_clear(p); } /* Compare with usual composition */ for (i = 0; i < 100 * flint_test_multiplier(); i++) { padic_poly_t f, g, h1, h2; slong k; padic_t one; fmpz_init_set_ui(p, n_randtest_prime(state, 0)); N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN) + PADIC_TEST_PREC_MIN; padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES); padic_poly_init2(f, 0, N); padic_poly_init2(g, 0, WORD_MAX); /* TODO: Check this is OK */ padic_poly_init2(h1, 0, N); padic_poly_init2(h2, 0, N); padic_poly_randtest(f, state, n_randint(state, 40), ctx); k = n_randint(state, 20) + 1; padic_poly_compose_pow(h1, f, k, ctx); padic_init(one); padic_one(one); padic_poly_set_coeff_padic(g, k, one, ctx); padic_clear(one); padic_poly_compose(h2, f, g, ctx); result = (padic_poly_equal(h1, h2) && padic_poly_is_reduced(h1, ctx)); if (!result) { flint_printf("FAIL (cmp with composition):\n"); flint_printf("f = "), padic_poly_print(f, ctx), flint_printf("\n\n"); flint_printf("g = "), padic_poly_print(g, ctx), flint_printf("\n\n"); flint_printf("h1 = "), padic_poly_print(h1, ctx), flint_printf("\n\n"); flint_printf("h2 = "), padic_poly_print(h2, ctx), flint_printf("\n\n"); flint_printf("p = "), fmpz_print(p), flint_printf("\n\n"); flint_printf("N = %wd\n\n", N); abort(); } padic_poly_clear(f); padic_poly_clear(g); padic_poly_clear(h1); padic_poly_clear(h2); padic_ctx_clear(ctx); fmpz_clear(p); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return EXIT_SUCCESS; }