117 lines
3.3 KiB
C
117 lines
3.3 KiB
C
/* Compute complex natural logarithm.
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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 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 <complex.h>
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#include <math.h>
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#include <math_private.h>
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#include <float.h>
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__complex__ float
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__clogf (__complex__ float x)
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{
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__complex__ float result;
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int rcls = fpclassify (__real__ x);
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int icls = fpclassify (__imag__ x);
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if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
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{
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/* Real and imaginary part are 0.0. */
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__imag__ result = signbit (__real__ x) ? M_PI : 0.0;
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__imag__ result = __copysignf (__imag__ result, __imag__ x);
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/* Yes, the following line raises an exception. */
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__real__ result = -1.0 / fabsf (__real__ x);
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}
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else if (__glibc_likely (rcls != FP_NAN && icls != FP_NAN))
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{
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/* Neither real nor imaginary part is NaN. */
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float absx = fabsf (__real__ x), absy = fabsf (__imag__ x);
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int scale = 0;
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if (absx < absy)
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{
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float t = absx;
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absx = absy;
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absy = t;
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}
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if (absx > FLT_MAX / 2.0f)
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{
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scale = -1;
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absx = __scalbnf (absx, scale);
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absy = (absy >= FLT_MIN * 2.0f ? __scalbnf (absy, scale) : 0.0f);
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}
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else if (absx < FLT_MIN && absy < FLT_MIN)
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{
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scale = FLT_MANT_DIG;
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absx = __scalbnf (absx, scale);
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absy = __scalbnf (absy, scale);
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}
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if (absx == 1.0f && scale == 0)
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{
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__real__ result = __log1pf (absy * absy) / 2.0f;
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math_check_force_underflow_nonneg (__real__ result);
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}
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else if (absx > 1.0f && absx < 2.0f && absy < 1.0f && scale == 0)
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{
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float d2m1 = (absx - 1.0f) * (absx + 1.0f);
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if (absy >= FLT_EPSILON)
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d2m1 += absy * absy;
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__real__ result = __log1pf (d2m1) / 2.0f;
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}
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else if (absx < 1.0f
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&& absx >= 0.5f
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&& absy < FLT_EPSILON / 2.0f
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&& scale == 0)
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{
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float d2m1 = (absx - 1.0f) * (absx + 1.0f);
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__real__ result = __log1pf (d2m1) / 2.0f;
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}
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else if (absx < 1.0f
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&& absx >= 0.5f
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&& scale == 0
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&& absx * absx + absy * absy >= 0.5f)
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{
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float d2m1 = __x2y2m1f (absx, absy);
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__real__ result = __log1pf (d2m1) / 2.0f;
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}
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else
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{
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float d = __ieee754_hypotf (absx, absy);
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__real__ result = __ieee754_logf (d) - scale * (float) M_LN2;
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}
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__imag__ result = __ieee754_atan2f (__imag__ x, __real__ x);
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}
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else
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{
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__imag__ result = __nanf ("");
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if (rcls == FP_INFINITE || icls == FP_INFINITE)
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/* Real or imaginary part is infinite. */
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__real__ result = HUGE_VALF;
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else
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__real__ result = __nanf ("");
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}
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return result;
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}
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#ifndef __clogf
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weak_alias (__clogf, clogf)
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#endif
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