/* Copyright (C) 2009 William Hart Copyright (C) 2014 Abhinav Baid 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 #include "flint.h" #include "ulong_extras.h" #include "fmpz.h" int main(void) { int i, result; FLINT_TEST_INIT(state); flint_printf("smod...."); fflush(stdout); for (i = 0; i < 200000 * flint_test_multiplier(); i++) { fmpz_t a, b, c, d, e; fmpz_init(a); fmpz_init(b); fmpz_init(c); fmpz_init(d); fmpz_init(e); fmpz_randtest(a, state, 200); fmpz_randtest_not_zero(b, state, 200); if (n_randint(state, 10) == 0) { fmpz_fdiv_q_ui(a, b, 2); if (n_randint(state, 2)) fmpz_add(a, b, b); if (n_randint(state, 2)) fmpz_sub(a, b, b); if (n_randint(state, 2)) fmpz_add(a, b, b); } fmpz_smod(c, a, b); fmpz_sub(d, a, c); fmpz_mod(d, d, b); if (!fmpz_is_zero(d)) { flint_printf("FAIL: check b|(smod(a,b) - a)\n"); flint_printf("a = "), fmpz_print(a), flint_printf("\n"); flint_printf("b = "), fmpz_print(b), flint_printf("\n"); flint_printf("smod(a,b) = "), fmpz_print(c), flint_printf("\n"); flint_abort(); } fmpz_abs(e, b); fmpz_mul_2exp(d, c, 1); if (fmpz_cmp(d, e) > 0) { flint_printf("FAIL: check 2*smod(a,b) <= |b|\n"); flint_printf("a = "), fmpz_print(a), flint_printf("\n"); flint_printf("b = "), fmpz_print(b), flint_printf("\n"); flint_printf("smod(a,b) = "), fmpz_print(c), flint_printf("\n"); flint_abort(); } fmpz_neg(e, e); if (fmpz_cmp(e, d) >= 0) { flint_printf("FAIL: check -|b| < 2*smod(a,b)\n"); flint_printf("a = "), fmpz_print(a), flint_printf("\n"); flint_printf("b = "), fmpz_print(b), flint_printf("\n"); flint_printf("smod(a,b) = "), fmpz_print(c), flint_printf("\n"); flint_abort(); } fmpz_clear(a); fmpz_clear(b); fmpz_clear(c); fmpz_clear(d); fmpz_clear(e); } /* Check aliasing of a and b */ for (i = 0; i < 10000 * flint_test_multiplier(); i++) { fmpz_t a, b, c, d; fmpz_init(a); fmpz_init(b); fmpz_init(c); fmpz_init(d); fmpz_randtest_not_zero(a, state, 200); fmpz_set(b, a); fmpz_smod(c, a, a); fmpz_smod(d, a, b); result = (fmpz_cmp(c, d) == 0); if (!result) { flint_printf("FAIL:\n"); flint_printf("a = "); fmpz_print(a); flint_printf("\n"); flint_printf("b = "); fmpz_print(b); flint_printf("\n"); flint_printf("c = "); fmpz_print(c); flint_printf("\n"); flint_printf("d = "); fmpz_print(d); flint_printf("\n"); abort(); } fmpz_clear(a); fmpz_clear(b); fmpz_clear(c); fmpz_clear(d); } /* Test aliasing of a and c */ for (i = 0; i < 10000 * flint_test_multiplier(); i++) { fmpz_t a, b, c, d; fmpz_init(a); fmpz_init(b); fmpz_init(c); fmpz_init(d); fmpz_randtest(a, state, 200); fmpz_randtest_not_zero(b, state, 200); fmpz_set(c, a); fmpz_smod(a, a, b); fmpz_smod(d, c, b); result = (fmpz_cmp(a, d) == 0); if (!result) { flint_printf("FAIL:\n"); flint_printf("a = "); fmpz_print(a); flint_printf("\n"); flint_printf("b = "); fmpz_print(b); flint_printf("\n"); flint_printf("c = "); fmpz_print(c); flint_printf("\n"); flint_printf("d = "); fmpz_print(d); flint_printf("\n"); abort(); } fmpz_clear(a); fmpz_clear(b); fmpz_clear(c); fmpz_clear(d); } /* Test aliasing of b and c */ for (i = 0; i < 10000 * flint_test_multiplier(); i++) { fmpz_t a, b, c, d; fmpz_init(a); fmpz_init(b); fmpz_init(c); fmpz_init(d); fmpz_randtest(a, state, 200); fmpz_randtest_not_zero(b, state, 200); fmpz_set(c, b); fmpz_smod(b, a, b); fmpz_smod(d, a, c); result = (fmpz_cmp(b, d) == 0); if (!result) { flint_printf("FAIL:\n"); flint_printf("a = "); fmpz_print(a); flint_printf("\n"); flint_printf("b = "); fmpz_print(b); flint_printf("\n"); flint_printf("c = "); fmpz_print(c); flint_printf("\n"); flint_printf("d = "); fmpz_print(d); flint_printf("\n"); abort(); } fmpz_clear(a); fmpz_clear(b); fmpz_clear(c); fmpz_clear(d); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }