f029f4be17
2012-11-01 Tobias Burnus <burnus@net-b.de> * Makefile.am (libquadmath_la_SOURCES): Add new math/* files. * Makefile.in: Regenerated. * math/acoshq.c: Update comment. * math/acosq.c: Ditto. * math/asinhq.c: Ditto. * math/asinq.c: Ditto. * math/atan2q.c: Ditto. * math/atanhq.c: Ditto. * math/ceilq.c: Ditto. * math/copysignq.c: Ditto. * math/cosq.c: Ditto. * math/coshq.c: Ditto. * math/erfq.c: Ditto. * math/fabsq.c: Ditto. * math/finiteq.c: Ditto. * math/floorq.c: Ditto. * math/fmodq.c: Ditto. * math/frexpq.c: Ditto. * math/isnanq.c: Ditto. * math/j0q.c: Ditto. * math/j1q.c: Ditto. * math/ldexpq.c: Ditto. * math/llroundq.c: Ditto. * math/log10q.c: Ditto. * math/log1pq.c: Ditto. * math/log2q.c: Ditto. * math/logq.c: Ditto. * math/lroundq.c: Ditto. * math/modfq.c: Ditto. * math/nextafterq.c: Ditto. * math/powq.c: Ditto. * math/rem_pio2q.c: Ditto. * math/remainderq.c: Ditto. * math/rintq.c: Ditto. * math/roundq.c: Ditto. * math/scalblnq.c: Ditto. * math/scalbnq.c: Ditto. * math/sincosq_kernel.c: Ditto. * math/sinq.c: Ditto. * math/tanq.c: Ditto. * math/expq.c: Ditto. (__expq_table, expq): Renamed local array from __expl_table. * math/cosq_kernel.c (__quadmath_kernel_cosq): Fix sign * handling. * math/cacoshq.c: Changes from GLIBC; fix returned sign. * math/casinhq.c: Changes from GLIBC to fix special-case. * math/cbrtq.c: Use modified GLIBC version. * math/complex.c (ccoshd, cexpq, clog10q, clogq, csinhq, csinq, ctanhq, ctanq): Moved to separates files. (mult_c128, div_c128): Removed no longer needed functions. (cexpiq): Call sincosq instead of sinq and cosq. (cosq): Call cosh(-re,im) instead of cosq/sinq/sinh/cosh. * math/ccoshq.c (ccoshq): New file, moved from complex.c and modified based on GLIBC. * math/cexpq.c (cexp): Ditto. * math/clog10q.c (clog10q): Ditto. * math/clogq.c (clogq): Ditto. * math/csinhq.c: Ditto. * math/csinq.c: Ditto. * math/csqrtq.c: Ditto. * math/ctanhq.c: Ditto. * math/ctanq.c: Ditto. * math/fmaq.c (fmaq): Port TININESS_AFTER_ROUNDING handling from GLIBC. * math/ilogbq.c (ilogbq): Add errno = EDOM handling. * math/isinf_nsq.c (__quadmath_isinf_nsq): New file, ported from GLIBC. * math/lgammaq.c (lgammaq): Add signgam handling. * math/sinhq.c (sinhq): Fix sign handling. * math/sinq_kernel.c (__quadmath_kernel_sinq): Ditto. * math/tgammaq.c (tgammaq): Ditto. * math/x2y2m1q.c: New file. * quadmath-imp.h (TININESS_AFTER_ROUNDING): New define. (__quadmath_x2y2m1q, __quadmath_isinf_nsq): New prototypes. From-SVN: r193063
112 lines
3.3 KiB
C
112 lines
3.3 KiB
C
/* Compute complex natural logarithm for complex __float128.
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Copyright (C) 1997-2012 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 "quadmath-imp.h"
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__complex128
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clogq (__complex128 x)
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{
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__complex128 result;
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int rcls = fpclassifyq (__real__ x);
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int icls = fpclassifyq (__imag__ x);
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if (__builtin_expect (rcls == QUADFP_ZERO && icls == QUADFP_ZERO, 0))
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{
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/* Real and imaginary part are 0.0. */
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__imag__ result = signbitq (__real__ x) ? M_PIq : 0.0Q;
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__imag__ result = copysignq (__imag__ result, __imag__ x);
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/* Yes, the following line raises an exception. */
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__real__ result = -1.0Q / fabsq (__real__ x);
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}
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else if (__builtin_expect (rcls != QUADFP_NAN && icls != QUADFP_NAN, 1))
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{
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/* Neither real nor imaginary part is NaN. */
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__float128 absx = fabsq (__real__ x), absy = fabsq (__imag__ x);
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int scale = 0;
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if (absx < absy)
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{
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__float128 t = absx;
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absx = absy;
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absy = t;
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}
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if (absx > FLT128_MAX / 2.0)
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{
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scale = -1;
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absx = scalbnq (absx, scale);
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absy = (absy >= FLT128_MIN * 2.0Q ? scalbnq (absy, scale) : 0.0Q);
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}
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else if (absx < FLT128_MIN && absy < FLT128_MIN)
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{
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scale = FLT128_MANT_DIG;
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absx = scalbnq (absx, scale);
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absy = scalbnq (absy, scale);
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}
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if (absx == 1.0Q && scale == 0)
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{
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__float128 absy2 = absy * absy;
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if (absy2 <= FLT128_MIN * 2.0Q)
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__real__ result = absy2 / 2.0Q - absy2 * absy2 / 4.0Q;
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else
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__real__ result = log1pq (absy2) / 2.0Q;
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}
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else if (absx > 1.0Q && absx < 2.0Q && absy < 1.0Q && scale == 0)
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{
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__float128 d2m1 = (absx - 1.0Q) * (absx + 1.0Q);
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if (absy >= FLT128_EPSILON)
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d2m1 += absy * absy;
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__real__ result = log1pq (d2m1) / 2.0Q;
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}
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else if (absx < 1.0Q
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&& absx >= 0.75Q
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&& absy < FLT128_EPSILON / 2.0Q
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&& scale == 0)
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{
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__float128 d2m1 = (absx - 1.0Q) * (absx + 1.0Q);
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__real__ result = log1pq (d2m1) / 2.0Q;
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}
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else if (absx < 1.0 && (absx >= 0.75Q || absy >= 0.5Q) && scale == 0)
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{
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__float128 d2m1 = __quadmath_x2y2m1q (absx, absy);
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__real__ result = log1pq (d2m1) / 2.0Q;
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}
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else
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{
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__float128 d = hypotq (absx, absy);
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__real__ result = logq (d) - scale * M_LN2q;
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}
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__imag__ result = atan2q (__imag__ x, __real__ x);
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}
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else
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{
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__imag__ result = nanq ("");
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if (rcls == QUADFP_INFINITE || icls == QUADFP_INFINITE)
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/* Real or imaginary part is infinite. */
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__real__ result = HUGE_VALQ;
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else
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__real__ result = nanq ("");
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}
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return result;
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}
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