mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
109 lines
3.4 KiB
C
109 lines
3.4 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) 2013 Fredrik Johansson
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******************************************************************************/
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#include "acb_hypgeom.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("shi_series....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 200; iter++)
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{
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slong m, n1, n2, n3, bits1, bits2, bits3;
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acb_poly_t S, A, B, C, T, U;
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bits1 = 2 + n_randint(state, 200);
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bits2 = 2 + n_randint(state, 200);
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bits3 = 2 + n_randint(state, 200);
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m = 1 + n_randint(state, 10);
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n1 = 1 + n_randint(state, 10);
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n2 = 1 + n_randint(state, 10);
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n3 = FLINT_MIN(n1, n2);
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acb_poly_init(S);
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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_poly_init(T);
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acb_poly_init(U);
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acb_poly_randtest(S, state, m, bits1, 3);
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acb_poly_randtest(A, state, m, bits1, 3);
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acb_poly_randtest(B, state, m, bits1, 3);
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acb_hypgeom_shi_series(A, S, n1, bits2);
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acb_hypgeom_shi_series(B, S, n2, bits3);
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acb_poly_set(C, A);
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acb_poly_truncate(C, n3);
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acb_poly_truncate(B, n3);
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/* [Shi(h(x))]' h(x) = sinh(h(x)) h'(x) */
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acb_poly_sinh_series(U, S, n3, bits2);
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acb_poly_derivative(T, S, bits2);
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acb_poly_mullow(U, U, T, FLINT_MAX(0, n3 - 1), bits2);
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acb_poly_derivative(T, A, bits2);
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acb_poly_mullow(T, T, S, FLINT_MAX(0, n3 - 1), bits2);
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if (!acb_poly_overlaps(B, C) || !acb_poly_overlaps(T, U))
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{
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flint_printf("FAIL\n\n");
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flint_printf("S = "); acb_poly_printd(S, 15); flint_printf("\n\n");
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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("T = "); acb_poly_printd(T, 15); flint_printf("\n\n");
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flint_printf("U = "); acb_poly_printd(U, 15); flint_printf("\n\n");
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abort();
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}
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acb_hypgeom_shi_series(S, S, n1, bits2);
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if (!acb_poly_overlaps(A, S))
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{
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flint_printf("FAIL (aliasing)\n\n");
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abort();
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}
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acb_poly_clear(S);
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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_poly_clear(T);
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acb_poly_clear(U);
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}
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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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