mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
106 lines
3.1 KiB
C
106 lines
3.1 KiB
C
/*=============================================================================
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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
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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ARB is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with ARB; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2012, 2013 Fredrik Johansson
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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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long iter;
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flint_rand_t state;
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printf("tan_series....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 2000; iter++)
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{
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long m, n, qbits, rbits1, rbits2;
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fmpq_poly_t A;
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arb_poly_t a, b, c, d, e;
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qbits = 2 + n_randint(state, 200);
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rbits1 = 2 + n_randint(state, 200);
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rbits2 = 2 + n_randint(state, 200);
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m = 1 + n_randint(state, 50);
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n = 1 + n_randint(state, 50);
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fmpq_poly_init(A);
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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_poly_init(d);
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arb_poly_init(e);
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fmpq_poly_randtest(A, state, m, qbits);
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arb_poly_set_fmpq_poly(a, A, rbits1);
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arb_poly_randtest(b, state, 1 + n_randint(state, 50), rbits1, 5);
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arb_poly_tan_series(b, a, n, rbits2);
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/* check tan(x) = 2*tan(x/2)/(1-tan(x/2)^2) */
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arb_poly_scalar_mul_2exp_si(c, a, -1);
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arb_poly_tan_series(c, c, n, rbits2);
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arb_poly_mullow(d, c, c, n, rbits2);
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arb_poly_one(e);
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arb_poly_sub(e, e, d, rbits2);
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arb_poly_div_series(c, c, e, n, rbits2);
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arb_poly_scalar_mul_2exp_si(c, c, 1);
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if (!arb_poly_overlaps(b, c))
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{
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printf("FAIL\n\n");
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printf("bits2 = %ld\n", rbits2);
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printf("A = "); fmpq_poly_print(A); printf("\n\n");
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printf("a = "); arb_poly_printd(a, 15); printf("\n\n");
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printf("b = "); arb_poly_printd(b, 15); printf("\n\n");
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printf("c = "); arb_poly_printd(c, 15); printf("\n\n");
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abort();
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}
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arb_poly_tan_series(a, a, n, rbits2);
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if (!arb_poly_equal(a, b))
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{
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printf("FAIL (aliasing)\n\n");
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abort();
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}
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fmpq_poly_clear(A);
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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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arb_poly_clear(d);
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arb_poly_clear(e);
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}
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flint_randclear(state);
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flint_cleanup();
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printf("PASS\n");
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return EXIT_SUCCESS;
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}
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