/*============================================================================= This file is part of FLINT. FLINT is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. FLINT is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with FLINT; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA =============================================================================*/ /****************************************************************************** Copyright (C) 2009 William Hart Copyright (C) 2010 Sebastian Pancratz ******************************************************************************/ #include #include #include #include "flint.h" #include "fmpz.h" #include "fmpz_poly.h" #include "ulong_extras.h" int main(void) { int i, result; FLINT_TEST_INIT(state); flint_printf("mul_karatsuba...."); fflush(stdout); /* Check aliasing of a and b */ for (i = 0; i < 200 * flint_test_multiplier(); i++) { fmpz_poly_t a, b, c; fmpz_poly_init(a); fmpz_poly_init(b); fmpz_poly_init(c); fmpz_poly_randtest(b, state, n_randint(state, 50), 200); fmpz_poly_randtest(c, state, n_randint(state, 50), 200); fmpz_poly_mul_karatsuba(a, b, c); fmpz_poly_mul_karatsuba(b, b, c); result = (fmpz_poly_equal(a, b)); if (!result) { flint_printf("FAIL:\n"); fmpz_poly_print(a), flint_printf("\n\n"); fmpz_poly_print(b), flint_printf("\n\n"); abort(); } fmpz_poly_clear(a); fmpz_poly_clear(b); fmpz_poly_clear(c); } /* Check aliasing of a and c */ for (i = 0; i < 200 * flint_test_multiplier(); i++) { fmpz_poly_t a, b, c; fmpz_poly_init(a); fmpz_poly_init(b); fmpz_poly_init(c); fmpz_poly_randtest(b, state, n_randint(state, 50), 200); fmpz_poly_randtest(c, state, n_randint(state, 50), 200); fmpz_poly_mul_karatsuba(a, b, c); fmpz_poly_mul_karatsuba(c, b, c); result = (fmpz_poly_equal(a, c)); if (!result) { flint_printf("FAIL:\n"); fmpz_poly_print(a), flint_printf("\n\n"); fmpz_poly_print(c), flint_printf("\n\n"); abort(); } fmpz_poly_clear(a); fmpz_poly_clear(b); fmpz_poly_clear(c); } /* Compare with mul_classical */ for (i = 0; i < 200 * flint_test_multiplier(); i++) { fmpz_poly_t a, b, c, d; fmpz_poly_init(a); fmpz_poly_init(b); fmpz_poly_init(c); fmpz_poly_init(d); fmpz_poly_randtest(b, state, n_randint(state, 50), 200); fmpz_poly_randtest(c, state, n_randint(state, 50), 200); fmpz_poly_mul_karatsuba(a, b, c); fmpz_poly_mul_classical(d, b, c); result = (fmpz_poly_equal(a, d)); if (!result) { flint_printf("FAIL:\n"); fmpz_poly_print(a), flint_printf("\n\n"); fmpz_poly_print(d), flint_printf("\n\n"); abort(); } fmpz_poly_clear(a); fmpz_poly_clear(b); fmpz_poly_clear(c); fmpz_poly_clear(d); } /* Check _fmpz_poly_mul_karatsuba directly */ for (i = 0; i < 200 * flint_test_multiplier(); i++) { slong len1, len2; fmpz_poly_t a, b, out1, out2; len1 = n_randint(state, 100) + 1; len2 = n_randint(state, 100) + 1; fmpz_poly_init(a); fmpz_poly_init(b); fmpz_poly_init(out1); fmpz_poly_init(out2); fmpz_poly_randtest(a, state, len1, 200); fmpz_poly_randtest(b, state, len2, 200); fmpz_poly_mul_karatsuba(out1, a, b); fmpz_poly_fit_length(a, a->alloc + n_randint(state, 10)); fmpz_poly_fit_length(b, b->alloc + n_randint(state, 10)); a->length = a->alloc; b->length = b->alloc; fmpz_poly_fit_length(out2, a->length + b->length - 1); if (a->length >= b->length) _fmpz_poly_mul_karatsuba(out2->coeffs, a->coeffs, a->length, b->coeffs, b->length); else _fmpz_poly_mul_karatsuba(out2->coeffs, b->coeffs, b->length, a->coeffs, a->length); _fmpz_poly_set_length(out2, a->length + b->length - 1); _fmpz_poly_normalise(out2); result = (fmpz_poly_equal(out1, out2)); if (!result) { flint_printf("FAIL:\n"); fmpz_poly_print(out1), flint_printf("\n\n"); fmpz_poly_print(out2), flint_printf("\n\n"); abort(); } fmpz_poly_clear(a); fmpz_poly_clear(b); fmpz_poly_clear(out1); fmpz_poly_clear(out2); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }