mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
112 lines
3.3 KiB
C
112 lines
3.3 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 "fmpcb.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("cot....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 10000; iter++)
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{
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fmpcb_t x, y, a, b, c, d;
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long prec1, prec2;
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prec1 = 2 + n_randint(state, 1000);
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prec2 = prec1 + 30;
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fmpcb_init(x);
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fmpcb_init(y);
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fmpcb_init(a);
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fmpcb_init(b);
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fmpcb_init(c);
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fmpcb_init(d);
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fmpcb_randtest(x, state, 1 + n_randint(state, 1000), 2 + n_randint(state, 100));
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fmpcb_randtest(y, state, 1 + n_randint(state, 1000), 2 + n_randint(state, 100));
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fmpcb_cot(a, x, prec1);
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fmpcb_cot(b, x, prec2);
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/* check consistency */
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if (!fmpcb_overlaps(a, b))
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{
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printf("FAIL: overlap\n\n");
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printf("x = "); fmpcb_print(x); printf("\n\n");
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printf("a = "); fmpcb_print(a); printf("\n\n");
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printf("b = "); fmpcb_print(b); printf("\n\n");
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abort();
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}
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/* check cot(x+y) = (cot(x) cot(y) - 1) / (cot(x) + cot(y)) */
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fmpcb_add(b, x, y, prec1);
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fmpcb_cot(b, b, prec1);
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fmpcb_cot(c, y, prec1);
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fmpcb_add(d, a, c, prec1);
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fmpcb_mul(c, a, c, prec1);
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fmpcb_sub_ui(c, c, 1, prec1);
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fmpcb_div(d, c, d, prec1);
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if (!fmpcb_overlaps(b, d))
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{
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printf("FAIL: functional equation\n\n");
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printf("x = "); fmpcb_print(x); printf("\n\n");
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printf("y = "); fmpcb_print(y); printf("\n\n");
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printf("b = "); fmpcb_print(b); printf("\n\n");
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printf("d = "); fmpcb_print(d); printf("\n\n");
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abort();
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}
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fmpcb_cot(x, x, prec1);
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if (!fmpcb_overlaps(a, x))
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{
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printf("FAIL: aliasing\n\n");
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printf("a = "); fmpcb_print(a); printf("\n\n");
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printf("x = "); fmpcb_print(x); printf("\n\n");
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abort();
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}
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fmpcb_clear(x);
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fmpcb_clear(y);
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fmpcb_clear(a);
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fmpcb_clear(b);
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fmpcb_clear(c);
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fmpcb_clear(d);
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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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