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60 lines
2.2 KiB
C
60 lines
2.2 KiB
C
/* mpfr_powr -- powr(x,y) = exp(y*log(x))
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Copyright 2021-2025 Free Software Foundation, Inc.
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Contributed by the Pascaline and Caramba projects, INRIA.
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This file is part of the GNU MPFR Library.
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The GNU MPFR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MPFR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MPFR Library; see the file COPYING.LESSER.
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If not, see <https://www.gnu.org/licenses/>. */
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#include "mpfr-impl.h"
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int
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mpfr_powr (mpfr_ptr z, mpfr_srcptr x, mpfr_srcptr y, mpfr_rnd_t rnd_mode)
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{
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/* powr(x,y) is NaN for x=NaN or x < 0 (a)
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powr(+/-0,+/-0) is NaN whereas pow(x,+/-0) = 1 if x is not NaN (b)
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powr(+Inf,+/-0) is NaN whereas pow(x,+/-0) = 1 if x is not NaN (b)
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We can use MPFR_IS_SINGULAR since we already excluded x=NaN and x=-Inf.
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powr(1,+/-Inf) = NaN whereas pow(1,+/-Inf) = 1 (c) */
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if (MPFR_IS_NAN (x) || MPFR_IS_STRICTNEG(x) || /* case (a) */
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(MPFR_IS_SINGULAR(x) && MPFR_IS_ZERO(y)) || /* case (b) */
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(mpfr_cmp_ui (x, 1) == 0 && MPFR_IS_INF(y))) /* case (c) */
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{
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MPFR_SET_NAN (z);
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MPFR_RET_NAN;
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}
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/* for finite y < 0, powr(-0,y) is +Inf, whereas pow(-0,y) is -Inf for y an
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odd negativeinteger, and +Inf otherwise */
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if (MPFR_IS_ZERO(x) && MPFR_SIGN(x) < 0 && !MPFR_IS_SINGULAR (y)
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&& MPFR_IS_NEG(y))
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{
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MPFR_SET_INF (z);
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MPFR_SET_POS (z);
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MPFR_SET_DIVBY0 ();
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MPFR_RET (0);
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}
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/* for y > 0, powr(-0,y) is +0, whereas pow gives -0 for y an odd integer */
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if (MPFR_IS_ZERO(x) && MPFR_SIGN(x) < 0 && !MPFR_IS_SINGULAR (y)
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&& MPFR_IS_POS(y))
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{
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MPFR_SET_ZERO (z);
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MPFR_SET_POS (z);
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MPFR_RET (0);
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}
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/* otherwise powr coincides with pow */
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return mpfr_pow (z, x, y, rnd_mode);
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}
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