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- /* Compute complex base 10 logarithm.
- Copyright (C) 1997-2019 Free Software Foundation, Inc.
- This file is part of the GNU C Library.
- Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
- The GNU C Library is free software; you can redistribute it and/or
- modify it under the terms of the GNU Lesser General Public
- License as published by the Free Software Foundation; either
- version 2.1 of the License, or (at your option) any later version.
- The GNU C Library is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- Lesser General Public License for more details.
- You should have received a copy of the GNU Lesser General Public
- License along with the GNU C Library; if not, see
- <http://www.gnu.org/licenses/>. */
- #include <complex.h>
- #include <math.h>
- #include <math_private.h>
- #include <math-underflow.h>
- #include <float.h>
- /* log_10 (2). */
- #define LOG10_2 M_LIT (0.3010299956639811952137388947244930267682)
- /* pi * log10 (e). */
- #define PI_LOG10E M_LIT (1.364376353841841347485783625431355770210)
- CFLOAT
- M_DECL_FUNC (__clog10) (CFLOAT x)
- {
- CFLOAT result;
- int rcls = fpclassify (__real__ x);
- int icls = fpclassify (__imag__ x);
- if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
- {
- /* Real and imaginary part are 0.0. */
- __imag__ result = signbit (__real__ x) ? PI_LOG10E : 0;
- __imag__ result = M_COPYSIGN (__imag__ result, __imag__ x);
- /* Yes, the following line raises an exception. */
- __real__ result = -1 / M_FABS (__real__ x);
- }
- else if (__glibc_likely (rcls != FP_NAN && icls != FP_NAN))
- {
- /* Neither real nor imaginary part is NaN. */
- FLOAT absx = M_FABS (__real__ x), absy = M_FABS (__imag__ x);
- int scale = 0;
- if (absx < absy)
- {
- FLOAT t = absx;
- absx = absy;
- absy = t;
- }
- if (absx > M_MAX / 2)
- {
- scale = -1;
- absx = M_SCALBN (absx, scale);
- absy = (absy >= M_MIN * 2 ? M_SCALBN (absy, scale) : 0);
- }
- else if (absx < M_MIN && absy < M_MIN)
- {
- scale = M_MANT_DIG;
- absx = M_SCALBN (absx, scale);
- absy = M_SCALBN (absy, scale);
- }
- if (absx == 1 && scale == 0)
- {
- __real__ result = (M_LOG1P (absy * absy)
- * ((FLOAT) M_MLIT (M_LOG10E) / 2));
- math_check_force_underflow_nonneg (__real__ result);
- }
- else if (absx > 1 && absx < 2 && absy < 1 && scale == 0)
- {
- FLOAT d2m1 = (absx - 1) * (absx + 1);
- if (absy >= M_EPSILON)
- d2m1 += absy * absy;
- __real__ result = M_LOG1P (d2m1) * ((FLOAT) M_MLIT (M_LOG10E) / 2);
- }
- else if (absx < 1
- && absx >= M_LIT (0.5)
- && absy < M_EPSILON / 2
- && scale == 0)
- {
- FLOAT d2m1 = (absx - 1) * (absx + 1);
- __real__ result = M_LOG1P (d2m1) * ((FLOAT) M_MLIT (M_LOG10E) / 2);
- }
- else if (absx < 1
- && absx >= M_LIT (0.5)
- && scale == 0
- && absx * absx + absy * absy >= M_LIT (0.5))
- {
- FLOAT d2m1 = M_SUF (__x2y2m1) (absx, absy);
- __real__ result = M_LOG1P (d2m1) * ((FLOAT) M_MLIT (M_LOG10E) / 2);
- }
- else
- {
- FLOAT d = M_HYPOT (absx, absy);
- __real__ result = M_SUF (__ieee754_log10) (d) - scale * LOG10_2;
- }
- __imag__ result = M_MLIT (M_LOG10E) * M_ATAN2 (__imag__ x, __real__ x);
- }
- else
- {
- __imag__ result = M_NAN;
- if (rcls == FP_INFINITE || icls == FP_INFINITE)
- /* Real or imaginary part is infinite. */
- __real__ result = M_HUGE_VAL;
- else
- __real__ result = M_NAN;
- }
- return result;
- }
- declare_mgen_alias (__clog10, clog10)
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