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77 lines
2.1 KiB
C
77 lines
2.1 KiB
C
/* Compute cubic root of double value.
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Copyright (C) 1997-2016 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Dirk Alboth <dirka@uni-paderborn.de> and
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Ulrich Drepper <drepper@cygnus.com>, 1997.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library 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 GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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#include <math.h>
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#include <math_private.h>
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#define CBRT2 1.2599210498948731648 /* 2^(1/3) */
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#define SQR_CBRT2 1.5874010519681994748 /* 2^(2/3) */
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static const double factor[5] =
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{
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1.0 / SQR_CBRT2,
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1.0 / CBRT2,
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1.0,
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CBRT2,
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SQR_CBRT2
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};
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double
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__cbrt (double x)
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{
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double xm, ym, u, t2;
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int xe;
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/* Reduce X. XM now is an range 1.0 to 0.5. */
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xm = __frexp (fabs (x), &xe);
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/* If X is not finite or is null return it (with raising exceptions
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if necessary.
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Note: *Our* version of `frexp' sets XE to zero if the argument is
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Inf or NaN. This is not portable but faster. */
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if (xe == 0 && fpclassify (x) <= FP_ZERO)
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return x + x;
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u = (0.354895765043919860
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+ ((1.50819193781584896
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+ ((-2.11499494167371287
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+ ((2.44693122563534430
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+ ((-1.83469277483613086
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+ (0.784932344976639262 - 0.145263899385486377 * xm)
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* xm)
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* xm))
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* xm))
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* xm))
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* xm));
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t2 = u * u * u;
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ym = u * (t2 + 2.0 * xm) / (2.0 * t2 + xm) * factor[2 + xe % 3];
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return __ldexp (x > 0.0 ? ym : -ym, xe / 3);
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}
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weak_alias (__cbrt, cbrt)
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#ifdef NO_LONG_DOUBLE
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strong_alias (__cbrt, __cbrtl)
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weak_alias (__cbrt, cbrtl)
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#endif
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