mirror of
https://github.com/vale981/arb
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50 lines
1 KiB
C
50 lines
1 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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/* bound (1 + 1/m)^n, m > 0, n >= 0 */
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void
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mag_binpow_uiui(mag_t b, ulong m, ulong n)
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{
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mag_t t;
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if (m == 0)
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{
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mag_inf(b);
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return;
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}
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mag_init(t);
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/* bound by exp(n/m) <= 1 + (n/m) + (n/m)^2 */
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if (m > n)
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{
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mag_set_ui(t, n); /* x = n/m */
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mag_div_ui(t, t, m);
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mag_mul(b, t, t); /* x^2 */
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mag_add(b, b, t); /* x */
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mag_one(t);
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mag_add(b, b, t); /* 1 */
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}
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else
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{
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mag_one(b);
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mag_div_ui(b, b, m);
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mag_one(t);
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mag_add(t, t, b);
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mag_pow_ui(b, t, n);
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}
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mag_clear(t);
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}
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