mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
95 lines
2.3 KiB
C
95 lines
2.3 KiB
C
/*
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Copyright (C) 2014 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 "mag.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("exp_tail....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
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{
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fmpr_t x, t, y, z;
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fmpz_t f;
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mag_t xb, yb;
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ulong N, k;
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fmpr_init(x);
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fmpr_init(t);
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fmpr_init(y);
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fmpr_init(z);
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fmpz_init(f);
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mag_init(xb);
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mag_init(yb);
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mag_randtest_special(xb, state, 6);
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mag_randtest_special(yb, state, 6);
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N = n_randint(state, 100);
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mag_exp_tail(yb, xb, N);
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mag_get_fmpr(x, xb);
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mag_get_fmpr(y, yb);
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fmpr_pow_sloppy_ui(t, x, N, MAG_BITS, FMPR_RND_DOWN);
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fmpz_fac_ui(f, N);
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fmpr_div_fmpz(t, t, f, MAG_BITS, FMPR_RND_DOWN);
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fmpr_set(z, t);
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for (k = 1; k < 50; k++)
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{
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fmpr_mul(t, t, x, MAG_BITS, FMPR_RND_DOWN);
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fmpr_div_ui(t, t, N + k, MAG_BITS, FMPR_RND_DOWN);
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fmpr_add(z, z, t, MAG_BITS, FMPR_RND_DOWN);
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}
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MAG_CHECK_BITS(xb)
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MAG_CHECK_BITS(yb)
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if (!(fmpr_cmpabs(z, y) <= 0))
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{
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flint_printf("FAIL\n\n");
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flint_printf("N = %wu\n\n", N);
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flint_printf("x = "); fmpr_print(x); flint_printf("\n\n");
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flint_printf("y = "); fmpr_print(y); flint_printf("\n\n");
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flint_printf("z = "); fmpr_print(z); flint_printf("\n\n");
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abort();
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}
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mag_exp_tail(xb, xb, N);
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if (!mag_equal(xb, yb))
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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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fmpr_clear(x);
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fmpr_clear(t);
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fmpr_clear(y);
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fmpr_clear(z);
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fmpz_clear(f);
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mag_clear(xb);
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mag_clear(yb);
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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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