/* Copyright (C) 2018 Fredrik Johansson This file is part of Arb. Arb 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 "acb.h" ARB_DLL extern slong acb_dot_gauss_dot_cutoff; int main() { slong iter; flint_rand_t state; flint_printf("dot...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 1000000 * arb_test_multiplier(); iter++) { acb_ptr x, y; acb_t s1, s2, z; slong i, len, prec, xbits, ybits, ebits; int ok, initial, subtract, revx, revy; if (n_randint(state, 100) == 0) len = n_randint(state, 50); else if (n_randint(state, 10) == 0) len = n_randint(state, 5); else len = n_randint(state, 3); acb_dot_gauss_dot_cutoff = 3 + n_randint(state, 30); if (n_randint(state, 10) != 0 || len > 10) { prec = 2 + n_randint(state, 500); xbits = 2 + n_randint(state, 500); ybits = 2 + n_randint(state, 500); } else { prec = 2 + n_randint(state, 5000); xbits = 2 + n_randint(state, 5000); ybits = 2 + n_randint(state, 5000); } if (n_randint(state, 100) == 0) ebits = 2 + n_randint(state, 100); else ebits = 2 + n_randint(state, 10); initial = n_randint(state, 2); subtract = n_randint(state, 2); revx = n_randint(state, 2); revy = n_randint(state, 2); x = _acb_vec_init(len); y = _acb_vec_init(len); acb_init(s1); acb_init(s2); acb_init(z); switch (n_randint(state, 3)) { case 0: for (i = 0; i < len; i++) { acb_randtest(x + i, state, xbits, ebits); acb_randtest(y + i, state, ybits, ebits); } break; /* Test with cancellation */ case 1: for (i = 0; i < len; i++) { if (i <= len / 2) { acb_randtest(x + i, state, xbits, ebits); acb_randtest(y + i, state, ybits, ebits); } else { acb_neg(x + i, x + len - i - 1); acb_set(y + i, y + len - i - 1); } } break; default: for (i = 0; i < len; i++) { if (i <= len / 2) { acb_randtest(x + i, state, xbits, ebits); acb_randtest(y + i, state, ybits, ebits); } else { acb_neg_round(x + i, x + len - i - 1, 2 + n_randint(state, 500)); acb_set_round(y + i, y + len - i - 1, 2 + n_randint(state, 500)); } } break; } acb_randtest(s1, state, 200, 100); acb_randtest(s2, state, 200, 100); acb_randtest(z, state, xbits, ebits); acb_dot(s1, initial ? z : NULL, subtract, revx ? (x + len - 1) : x, revx ? -1 : 1, revy ? (y + len - 1) : y, revy ? -1 : 1, len, prec); acb_dot_precise(s2, initial ? z : NULL, subtract, revx ? (x + len - 1) : x, revx ? -1 : 1, revy ? (y + len - 1) : y, revy ? -1 : 1, len, ebits <= 12 ? ARF_PREC_EXACT : 2 * prec + 100); if (ebits <= 12) ok = acb_contains(s1, s2); else ok = acb_overlaps(s1, s2); if (!ok) { flint_printf("FAIL\n\n"); flint_printf("iter = %wd, len = %wd, prec = %wd, ebits = %wd, subtract = %d\n\n", iter, len, prec, ebits, subtract); if (initial) { flint_printf("z = ", i); acb_printn(z, 100, ARB_STR_MORE); flint_printf(" (%wd)\n\n", acb_bits(z)); } for (i = 0; i < len; i++) { flint_printf("x[%wd] = ", i); acb_printn(x + i, 100, ARB_STR_MORE); flint_printf(" (%wd)\n", acb_bits(x + i)); flint_printf("y[%wd] = ", i); acb_printn(y + i, 100, ARB_STR_MORE); flint_printf(" (%wd)\n", acb_bits(y + i)); } flint_printf("\n\n"); flint_printf("s1 = "); acb_printn(s1, 100, ARB_STR_MORE); flint_printf("\n\n"); flint_printf("s2 = "); acb_printn(s2, 100, ARB_STR_MORE); flint_printf("\n\n"); flint_abort(); } /* With the fast algorithm, we expect identical results when reversing the vectors. */ if (ebits <= 12) { revx ^= 1; revy ^= 1; acb_dot(s2, initial ? z : NULL, subtract, revx ? (x + len - 1) : x, revx ? -1 : 1, revy ? (y + len - 1) : y, revy ? -1 : 1, len, prec); if (!acb_equal(s1, s2)) { flint_printf("FAIL (reversal)\n\n"); flint_printf("iter = %wd, len = %wd, prec = %wd, ebits = %wd\n\n", iter, len, prec, ebits); if (initial) { flint_printf("z = ", i); acb_printn(z, 100, ARB_STR_MORE); flint_printf(" (%wd)\n\n", acb_bits(z)); } for (i = 0; i < len; i++) { flint_printf("x[%wd] = ", i); acb_printn(x + i, 100, ARB_STR_MORE); flint_printf(" (%wd)\n", acb_bits(x + i)); flint_printf("y[%wd] = ", i); acb_printn(y + i, 100, ARB_STR_MORE); flint_printf(" (%wd)\n", acb_bits(y + i)); } flint_printf("\n\n"); flint_printf("s1 = "); acb_printn(s1, 100, ARB_STR_MORE); flint_printf("\n\n"); flint_printf("s2 = "); acb_printn(s2, 100, ARB_STR_MORE); flint_printf("\n\n"); flint_abort(); } } acb_clear(s1); acb_clear(s2); acb_clear(z); _acb_vec_clear(x, len); _acb_vec_clear(y, len); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }