mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
c22f6a87bb
Create polynomials from a set of roots. Square these roots to compute the expected output.
86 lines
2.3 KiB
C
86 lines
2.3 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 "arb_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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flint_printf("graeffe_transform....");
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fflush(stdout);
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flint_randinit(state);
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arb_poly_t a, b, c;
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arb_poly_init(a);
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arb_poly_init(b);
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arb_poly_init(c);
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arb_ptr roots;
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for (iter = 0; iter < 500 * arb_test_multiplier(); iter++)
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{
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slong n, prec, i;
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n = n_randint(state, 200);
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prec = 2 + n_randint(state, 200);
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roots = _arb_vec_init(n);
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for (i = 0; i < n; i++)
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arb_randtest(roots+i, state, prec, n_randint(state, 10));
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arb_poly_product_roots(a, roots, n, prec);
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for (i = 0; i < n; i++)
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arb_sqr(roots+i, roots+i, prec);
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arb_poly_product_roots(c, roots, n, prec);
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arb_poly_graeffe_transform(b, a, prec);
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if (!arb_poly_overlaps(b, c))
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{
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flint_printf("FAIL (containment)\n\n");
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flint_printf("n = %wd, prec = %wd\n\n", n, prec);
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flint_printf("a: "); arb_poly_printd(a, 15); flint_printf("\n\n");
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flint_printf("b: "); arb_poly_printd(b, 15); flint_printf("\n\n");
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flint_printf("c: "); arb_poly_printd(c, 15); flint_printf("\n\n");
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flint_abort();
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}
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arb_poly_graeffe_transform(a, a, prec);
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if (!arb_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: "); arb_poly_printd(a, 15); flint_printf("\n\n");
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flint_printf("b: "); arb_poly_printd(b, 15); flint_printf("\n\n");
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flint_printf("c: "); arb_poly_printd(c, 15); flint_printf("\n\n");
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flint_abort();
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}
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_arb_vec_clear(roots, n);
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}
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arb_poly_clear(a);
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arb_poly_clear(b);
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arb_poly_clear(c);
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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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