mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
95 lines
2.6 KiB
C
95 lines
2.6 KiB
C
/*
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Copyright (C) 2013 Fredrik Johansson
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This file is part of Arb.
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Arb is free software: you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "acb_poly.h"
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int main()
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{
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slong iter;
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flint_rand_t state;
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acb_poly_t a, b, c;
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acb_ptr roots;
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acb_t leading;
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flint_printf("graeffe_transform....");
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fflush(stdout);
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flint_randinit(state);
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acb_poly_init(a);
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acb_poly_init(b);
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acb_poly_init(c);
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acb_init(leading);
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for (iter = 0; iter < 200 * arb_test_multiplier(); iter++)
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{
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slong n, prec, i;
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n = n_randint(state, 20);
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prec = 2 + n_randint(state, 256);
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roots = _acb_vec_init(n);
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acb_randtest(leading, state, prec, n_randint(state, 16));
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for (i = 0; i < n; i++)
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acb_randtest(roots + i, state, prec, n_randint(state, 16));
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acb_poly_product_roots(a, roots, n, prec);
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acb_poly_scalar_mul(a, a, leading, prec);
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for (i = 0; i < n; i++)
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acb_sqr(roots + i, roots + i, prec);
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acb_sqr(leading, leading, prec);
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acb_poly_product_roots(c, roots, n, prec);
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acb_poly_scalar_mul(c, c, leading, prec);
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acb_poly_graeffe_transform(b, a, prec);
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if (!acb_poly_overlaps(b, c))
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{
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flint_printf("FAIL (overlap)\n\n");
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flint_printf("n = %wd, prec = %wd\n\n", n, prec);
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flint_printf("a: "); acb_poly_printd(a, 15); flint_printf("\n\n");
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flint_printf("b: "); acb_poly_printd(b, 15); flint_printf("\n\n");
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flint_printf("c: "); acb_poly_printd(c, 15); flint_printf("\n\n");
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flint_abort();
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}
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acb_poly_graeffe_transform(a, a, prec);
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if (!acb_poly_equal(a, b))
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{
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flint_printf("FAIL (aliasing)\n\n");
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flint_printf("n = %wd, prec = %wd\n\n", n, prec);
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flint_printf("a: "); acb_poly_printd(a, 15); flint_printf("\n\n");
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flint_printf("b: "); acb_poly_printd(b, 15); flint_printf("\n\n");
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flint_printf("c: "); acb_poly_printd(c, 15); flint_printf("\n\n");
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flint_abort();
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}
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_acb_vec_clear(roots, n);
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}
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acb_poly_clear(a);
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acb_poly_clear(b);
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acb_poly_clear(c);
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acb_clear(leading);
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flint_randclear(state);
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flint_cleanup();
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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