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Convert _Complex sine functions to generated code
Refactor s_c{,a}sin{,h}{f,,l} into a single templated
macro.
This commit is contained in:
Paul E. Murphy
parent
ffb84f5e19
commit
c50eee19c4
52
ChangeLog
52
ChangeLog
@ -1,3 +1,55 @@
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2016-08-19 Paul E. Murphy <murphyp@linux.vnet.ibm.com>
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* math/Makefile (gen-libm-calls): Move
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casin, casinh, csin, csinh here.
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(libm-calls): Remove the above.
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* math/s_casin_template.c: Update using type-generic macros.
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* math/s_casinh_template.c: Likewise.
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* math/s_csin_template.c: Likewise.
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* math/s_csinh_template.c: Likewise.
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* math/k_casinh_template.c: Likewise.
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* math/s_casinf.c: Removed.
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* math/s_casin.c: Removed.
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* math/s_casinl.c: Removed.
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* math/s_casinh.c: Removed.
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* math/s_casinhf.c: Removed.
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* math/s_casinhl.c: Removed.
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* math/s_csin.c: Removed.
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* math/s_csinf.c: Removed.
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* math/s_csinl.c: Removed.
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* math/s_csinh.c: Removed.
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* math/s_csinhf.c: Removed.
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* math/s_csinhl.c: Removed.
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* math/k_casinh.c: Removed.
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* math/k_casinhf.c: Removed.
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* math/k_casinhl.c: Removed.
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* sysdeps/alpha/fpu/s_casinf.c: Refactor using templated version.
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* sysdeps/alpha/fpu/s_casinhf.c: Likewise.
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* sysdeps/alpha/fpu/s_csinf.c: Likewise.
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* sysdeps/alpha/fpu/s_csinhf.c: Likewise.
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* sysdeps/ieee754/ldbl-opt/s_casin.c: Removed.
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* sysdeps/ieee754/ldbl-opt/s_casinh.c: Removed.
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* sysdeps/ieee754/ldbl-opt/s_casinhl.c: Removed.
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* sysdeps/ieee754/ldbl-opt/s_casinl.c: Removed.
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* sysdeps/ieee754/ldbl-opt/s_csin.c: Removed.
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* sysdeps/ieee754/ldbl-opt/s_csinh.c: Removed.
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* sysdeps/ieee754/ldbl-opt/s_csinhl.c: Removed.
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* sysdeps/ieee754/ldbl-opt/s_csinl.c: Removed.
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* sysdeps/m68k/m680x0/fpu/s_csin.c: Refactor into ...
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* sysdeps/m68k/m680x0/fpu/s_csin_template.c: New file.
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* sysdeps/m68k/m680x0/fpu/s_csinf.c: Removed.
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* sysdeps/m68k/m680x0/fpu/s_csinl.c: Removed.
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* sysdeps/m68k/m680x0/fpu/s_csinh.c: Refactor into.
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* sysdeps/m68k/m680x0/fpu/s_csinh_template.c: New file.
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* sysdeps/m68k/m680x0/fpu/s_csinhf.c: Removed.
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* sysdeps/m68k/m680x0/fpu/s_csinhl.c: Removed.
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2016-08-19 Paul E. Murphy <murphyp@linux.vnet.ibm.com>
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2016-08-19 Paul E. Murphy <murphyp@linux.vnet.ibm.com>
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* s_casin_template.c: Copy of s_casin.c.
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* s_casin_template.c: Copy of s_casin.c.
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@ -46,7 +46,8 @@ libm-support = s_lib_version s_matherr s_signgam \
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# Wrappers for these functions generated per type using a file named
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# Wrappers for these functions generated per type using a file named
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# <func>_template.c and the appropriate math-type-macros-<TYPE>.h.
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# <func>_template.c and the appropriate math-type-macros-<TYPE>.h.
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gen-libm-calls = cargF conjF cimagF crealF cabsF s_cacosF \
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gen-libm-calls = cargF conjF cimagF crealF cabsF s_cacosF \
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s_cacoshF s_ccosF s_ccoshF
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s_cacoshF s_ccosF s_ccoshF s_casinF s_csinF s_casinhF \
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k_casinhF s_csinhF
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libm-calls = \
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libm-calls = \
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e_acosF e_acoshF e_asinF e_atan2F e_atanhF e_coshF e_expF e_fmodF \
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e_acosF e_acoshF e_asinF e_atan2F e_atanhF e_coshF e_expF e_fmodF \
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@ -64,11 +65,11 @@ libm-calls = \
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w_ilogbF \
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w_ilogbF \
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s_fpclassifyF s_fmaxF s_fminF s_fdimF s_nanF s_truncF \
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s_fpclassifyF s_fmaxF s_fminF s_fdimF s_nanF s_truncF \
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s_remquoF e_log2F e_exp2F s_roundF s_nearbyintF s_sincosF \
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s_remquoF e_log2F e_exp2F s_roundF s_nearbyintF s_sincosF \
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s_cexpF s_csinhF s_clogF \
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s_cexpF s_clogF \
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s_catanF s_casinF s_csinF s_ctanF s_ctanhF \
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s_catanF s_ctanF s_ctanhF \
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s_casinhF s_catanhF s_csqrtF s_cpowF s_cprojF s_clog10F \
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s_catanhF s_csqrtF s_cpowF s_cprojF s_clog10F \
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s_fmaF s_lrintF s_llrintF s_lroundF s_llroundF e_exp10F w_log2F \
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s_fmaF s_lrintF s_llrintF s_lroundF s_llroundF e_exp10F w_log2F \
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s_issignalingF $(calls:s_%=m_%) x2y2m1F k_casinhF \
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s_issignalingF $(calls:s_%=m_%) x2y2m1F \
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gamma_productF lgamma_negF lgamma_productF \
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gamma_productF lgamma_negF lgamma_productF \
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s_nextupF s_nextdownF $(gen-libm-calls)
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s_nextupF s_nextdownF $(gen-libm-calls)
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210
math/k_casinh.c
210
math/k_casinh.c
@ -1,210 +0,0 @@
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/* Return arc hyperbole sine for double value, with the imaginary part
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of the result possibly adjusted for use in computing other
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functions.
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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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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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/* Return the complex inverse hyperbolic sine of finite nonzero Z,
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with the imaginary part of the result subtracted from pi/2 if ADJ
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is nonzero. */
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__complex__ double
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__kernel_casinh (__complex__ double x, int adj)
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{
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__complex__ double res;
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double rx, ix;
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__complex__ double y;
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/* Avoid cancellation by reducing to the first quadrant. */
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rx = fabs (__real__ x);
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ix = fabs (__imag__ x);
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if (rx >= 1.0 / DBL_EPSILON || ix >= 1.0 / DBL_EPSILON)
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{
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/* For large x in the first quadrant, x + csqrt (1 + x * x)
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is sufficiently close to 2 * x to make no significant
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difference to the result; avoid possible overflow from
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the squaring and addition. */
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__real__ y = rx;
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__imag__ y = ix;
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if (adj)
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{
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double t = __real__ y;
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__real__ y = __copysign (__imag__ y, __imag__ x);
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__imag__ y = t;
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}
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res = __clog (y);
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__real__ res += M_LN2;
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}
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else if (rx >= 0.5 && ix < DBL_EPSILON / 8.0)
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{
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double s = __ieee754_hypot (1.0, rx);
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__real__ res = __ieee754_log (rx + s);
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if (adj)
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__imag__ res = __ieee754_atan2 (s, __imag__ x);
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else
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__imag__ res = __ieee754_atan2 (ix, s);
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}
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else if (rx < DBL_EPSILON / 8.0 && ix >= 1.5)
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{
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double s = __ieee754_sqrt ((ix + 1.0) * (ix - 1.0));
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__real__ res = __ieee754_log (ix + s);
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if (adj)
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__imag__ res = __ieee754_atan2 (rx, __copysign (s, __imag__ x));
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else
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__imag__ res = __ieee754_atan2 (s, rx);
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}
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else if (ix > 1.0 && ix < 1.5 && rx < 0.5)
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{
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if (rx < DBL_EPSILON * DBL_EPSILON)
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{
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double ix2m1 = (ix + 1.0) * (ix - 1.0);
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double s = __ieee754_sqrt (ix2m1);
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__real__ res = __log1p (2.0 * (ix2m1 + ix * s)) / 2.0;
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if (adj)
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__imag__ res = __ieee754_atan2 (rx, __copysign (s, __imag__ x));
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else
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__imag__ res = __ieee754_atan2 (s, rx);
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}
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else
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{
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double ix2m1 = (ix + 1.0) * (ix - 1.0);
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double rx2 = rx * rx;
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double f = rx2 * (2.0 + rx2 + 2.0 * ix * ix);
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double d = __ieee754_sqrt (ix2m1 * ix2m1 + f);
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double dp = d + ix2m1;
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double dm = f / dp;
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double r1 = __ieee754_sqrt ((dm + rx2) / 2.0);
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double r2 = rx * ix / r1;
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__real__ res = __log1p (rx2 + dp + 2.0 * (rx * r1 + ix * r2)) / 2.0;
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if (adj)
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__imag__ res = __ieee754_atan2 (rx + r1, __copysign (ix + r2,
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__imag__ x));
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else
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__imag__ res = __ieee754_atan2 (ix + r2, rx + r1);
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}
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}
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else if (ix == 1.0 && rx < 0.5)
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{
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if (rx < DBL_EPSILON / 8.0)
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{
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__real__ res = __log1p (2.0 * (rx + __ieee754_sqrt (rx))) / 2.0;
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if (adj)
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__imag__ res = __ieee754_atan2 (__ieee754_sqrt (rx),
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__copysign (1.0, __imag__ x));
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else
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__imag__ res = __ieee754_atan2 (1.0, __ieee754_sqrt (rx));
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}
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else
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{
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double d = rx * __ieee754_sqrt (4.0 + rx * rx);
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double s1 = __ieee754_sqrt ((d + rx * rx) / 2.0);
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double s2 = __ieee754_sqrt ((d - rx * rx) / 2.0);
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__real__ res = __log1p (rx * rx + d + 2.0 * (rx * s1 + s2)) / 2.0;
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if (adj)
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__imag__ res = __ieee754_atan2 (rx + s1, __copysign (1.0 + s2,
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__imag__ x));
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else
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__imag__ res = __ieee754_atan2 (1.0 + s2, rx + s1);
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}
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}
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else if (ix < 1.0 && rx < 0.5)
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{
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if (ix >= DBL_EPSILON)
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{
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if (rx < DBL_EPSILON * DBL_EPSILON)
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{
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double onemix2 = (1.0 + ix) * (1.0 - ix);
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double s = __ieee754_sqrt (onemix2);
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__real__ res = __log1p (2.0 * rx / s) / 2.0;
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if (adj)
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__imag__ res = __ieee754_atan2 (s, __imag__ x);
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else
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__imag__ res = __ieee754_atan2 (ix, s);
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}
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else
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{
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double onemix2 = (1.0 + ix) * (1.0 - ix);
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double rx2 = rx * rx;
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double f = rx2 * (2.0 + rx2 + 2.0 * ix * ix);
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double d = __ieee754_sqrt (onemix2 * onemix2 + f);
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double dp = d + onemix2;
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double dm = f / dp;
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double r1 = __ieee754_sqrt ((dp + rx2) / 2.0);
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double r2 = rx * ix / r1;
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__real__ res
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= __log1p (rx2 + dm + 2.0 * (rx * r1 + ix * r2)) / 2.0;
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if (adj)
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__imag__ res = __ieee754_atan2 (rx + r1,
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__copysign (ix + r2,
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__imag__ x));
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else
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__imag__ res = __ieee754_atan2 (ix + r2, rx + r1);
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}
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}
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else
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{
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double s = __ieee754_hypot (1.0, rx);
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__real__ res = __log1p (2.0 * rx * (rx + s)) / 2.0;
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if (adj)
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__imag__ res = __ieee754_atan2 (s, __imag__ x);
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else
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__imag__ res = __ieee754_atan2 (ix, s);
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}
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math_check_force_underflow_nonneg (__real__ res);
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}
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else
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{
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__real__ y = (rx - ix) * (rx + ix) + 1.0;
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__imag__ y = 2.0 * rx * ix;
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y = __csqrt (y);
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__real__ y += rx;
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__imag__ y += ix;
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if (adj)
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{
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double t = __real__ y;
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__real__ y = __copysign (__imag__ y, __imag__ x);
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__imag__ y = t;
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}
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res = __clog (y);
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}
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/* Give results the correct sign for the original argument. */
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__real__ res = __copysign (__real__ res, __real__ x);
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__imag__ res = __copysign (__imag__ res, (adj ? 1.0 : __imag__ x));
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return res;
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}
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@ -1,6 +1,6 @@
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/* Return arc hyperbole sine for double value, with the imaginary part
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/* Return arc hyperbolic sine for a complex float type, with the
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of the result possibly adjusted for use in computing other
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imaginary part of the result possibly adjusted for use in
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functions.
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computing other functions.
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Copyright (C) 1997-2016 Free Software Foundation, Inc.
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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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This file is part of the GNU C Library.
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@ -27,18 +27,18 @@
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with the imaginary part of the result subtracted from pi/2 if ADJ
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with the imaginary part of the result subtracted from pi/2 if ADJ
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is nonzero. */
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is nonzero. */
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__complex__ double
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CFLOAT
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__kernel_casinh (__complex__ double x, int adj)
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M_DECL_FUNC (__kernel_casinh) (CFLOAT x, int adj)
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{
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{
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__complex__ double res;
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CFLOAT res;
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double rx, ix;
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FLOAT rx, ix;
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__complex__ double y;
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CFLOAT y;
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/* Avoid cancellation by reducing to the first quadrant. */
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/* Avoid cancellation by reducing to the first quadrant. */
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rx = fabs (__real__ x);
|
rx = M_FABS (__real__ x);
|
||||||
ix = fabs (__imag__ x);
|
ix = M_FABS (__imag__ x);
|
||||||
|
|
||||||
if (rx >= 1.0 / DBL_EPSILON || ix >= 1.0 / DBL_EPSILON)
|
if (rx >= 1 / M_EPSILON || ix >= 1 / M_EPSILON)
|
||||||
{
|
{
|
||||||
/* For large x in the first quadrant, x + csqrt (1 + x * x)
|
/* For large x in the first quadrant, x + csqrt (1 + x * x)
|
||||||
is sufficiently close to 2 * x to make no significant
|
is sufficiently close to 2 * x to make no significant
|
||||||
@ -49,162 +49,157 @@ __kernel_casinh (__complex__ double x, int adj)
|
|||||||
|
|
||||||
if (adj)
|
if (adj)
|
||||||
{
|
{
|
||||||
double t = __real__ y;
|
FLOAT t = __real__ y;
|
||||||
__real__ y = __copysign (__imag__ y, __imag__ x);
|
__real__ y = M_COPYSIGN (__imag__ y, __imag__ x);
|
||||||
__imag__ y = t;
|
__imag__ y = t;
|
||||||
}
|
}
|
||||||
|
|
||||||
res = __clog (y);
|
res = M_SUF (__clog) (y);
|
||||||
__real__ res += M_LN2;
|
__real__ res += (FLOAT) M_MLIT (M_LN2);
|
||||||
}
|
}
|
||||||
else if (rx >= 0.5 && ix < DBL_EPSILON / 8.0)
|
else if (rx >= M_LIT (0.5) && ix < M_EPSILON / 8)
|
||||||
{
|
{
|
||||||
double s = __ieee754_hypot (1.0, rx);
|
FLOAT s = M_HYPOT (1, rx);
|
||||||
|
|
||||||
__real__ res = __ieee754_log (rx + s);
|
__real__ res = M_LOG (rx + s);
|
||||||
if (adj)
|
if (adj)
|
||||||
__imag__ res = __ieee754_atan2 (s, __imag__ x);
|
__imag__ res = M_ATAN2 (s, __imag__ x);
|
||||||
else
|
else
|
||||||
__imag__ res = __ieee754_atan2 (ix, s);
|
__imag__ res = M_ATAN2 (ix, s);
|
||||||
}
|
}
|
||||||
else if (rx < DBL_EPSILON / 8.0 && ix >= 1.5)
|
else if (rx < M_EPSILON / 8 && ix >= M_LIT (1.5))
|
||||||
{
|
{
|
||||||
double s = __ieee754_sqrt ((ix + 1.0) * (ix - 1.0));
|
FLOAT s = M_SQRT ((ix + 1) * (ix - 1));
|
||||||
|
|
||||||
__real__ res = __ieee754_log (ix + s);
|
__real__ res = M_LOG (ix + s);
|
||||||
if (adj)
|
if (adj)
|
||||||
__imag__ res = __ieee754_atan2 (rx, __copysign (s, __imag__ x));
|
__imag__ res = M_ATAN2 (rx, M_COPYSIGN (s, __imag__ x));
|
||||||
else
|
else
|
||||||
__imag__ res = __ieee754_atan2 (s, rx);
|
__imag__ res = M_ATAN2 (s, rx);
|
||||||
}
|
}
|
||||||
else if (ix > 1.0 && ix < 1.5 && rx < 0.5)
|
else if (ix > 1 && ix < M_LIT (1.5) && rx < M_LIT (0.5))
|
||||||
{
|
{
|
||||||
if (rx < DBL_EPSILON * DBL_EPSILON)
|
if (rx < M_EPSILON * M_EPSILON)
|
||||||
{
|
{
|
||||||
double ix2m1 = (ix + 1.0) * (ix - 1.0);
|
FLOAT ix2m1 = (ix + 1) * (ix - 1);
|
||||||
double s = __ieee754_sqrt (ix2m1);
|
FLOAT s = M_SQRT (ix2m1);
|
||||||
|
|
||||||
__real__ res = __log1p (2.0 * (ix2m1 + ix * s)) / 2.0;
|
__real__ res = M_LOG1P (2 * (ix2m1 + ix * s)) / 2;
|
||||||
if (adj)
|
if (adj)
|
||||||
__imag__ res = __ieee754_atan2 (rx, __copysign (s, __imag__ x));
|
__imag__ res = M_ATAN2 (rx, M_COPYSIGN (s, __imag__ x));
|
||||||
else
|
else
|
||||||
__imag__ res = __ieee754_atan2 (s, rx);
|
__imag__ res = M_ATAN2 (s, rx);
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
double ix2m1 = (ix + 1.0) * (ix - 1.0);
|
FLOAT ix2m1 = (ix + 1) * (ix - 1);
|
||||||
double rx2 = rx * rx;
|
FLOAT rx2 = rx * rx;
|
||||||
double f = rx2 * (2.0 + rx2 + 2.0 * ix * ix);
|
FLOAT f = rx2 * (2 + rx2 + 2 * ix * ix);
|
||||||
double d = __ieee754_sqrt (ix2m1 * ix2m1 + f);
|
FLOAT d = M_SQRT (ix2m1 * ix2m1 + f);
|
||||||
double dp = d + ix2m1;
|
FLOAT dp = d + ix2m1;
|
||||||
double dm = f / dp;
|
FLOAT dm = f / dp;
|
||||||
double r1 = __ieee754_sqrt ((dm + rx2) / 2.0);
|
FLOAT r1 = M_SQRT ((dm + rx2) / 2);
|
||||||
double r2 = rx * ix / r1;
|
FLOAT r2 = rx * ix / r1;
|
||||||
|
|
||||||
__real__ res = __log1p (rx2 + dp + 2.0 * (rx * r1 + ix * r2)) / 2.0;
|
__real__ res = M_LOG1P (rx2 + dp + 2 * (rx * r1 + ix * r2)) / 2;
|
||||||
if (adj)
|
if (adj)
|
||||||
__imag__ res = __ieee754_atan2 (rx + r1, __copysign (ix + r2,
|
__imag__ res = M_ATAN2 (rx + r1, M_COPYSIGN (ix + r2, __imag__ x));
|
||||||
|
else
|
||||||
|
__imag__ res = M_ATAN2 (ix + r2, rx + r1);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
else if (ix == 1 && rx < M_LIT (0.5))
|
||||||
|
{
|
||||||
|
if (rx < M_EPSILON / 8)
|
||||||
|
{
|
||||||
|
__real__ res = M_LOG1P (2 * (rx + M_SQRT (rx))) / 2;
|
||||||
|
if (adj)
|
||||||
|
__imag__ res = M_ATAN2 (M_SQRT (rx), M_COPYSIGN (1, __imag__ x));
|
||||||
|
else
|
||||||
|
__imag__ res = M_ATAN2 (1, M_SQRT (rx));
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
FLOAT d = rx * M_SQRT (4 + rx * rx);
|
||||||
|
FLOAT s1 = M_SQRT ((d + rx * rx) / 2);
|
||||||
|
FLOAT s2 = M_SQRT ((d - rx * rx) / 2);
|
||||||
|
|
||||||
|
__real__ res = M_LOG1P (rx * rx + d + 2 * (rx * s1 + s2)) / 2;
|
||||||
|
if (adj)
|
||||||
|
__imag__ res = M_ATAN2 (rx + s1, M_COPYSIGN (1 + s2, __imag__ x));
|
||||||
|
else
|
||||||
|
__imag__ res = M_ATAN2 (1 + s2, rx + s1);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
else if (ix < 1 && rx < M_LIT (0.5))
|
||||||
|
{
|
||||||
|
if (ix >= M_EPSILON)
|
||||||
|
{
|
||||||
|
if (rx < M_EPSILON * M_EPSILON)
|
||||||
|
{
|
||||||
|
FLOAT onemix2 = (1 + ix) * (1 - ix);
|
||||||
|
FLOAT s = M_SQRT (onemix2);
|
||||||
|
|
||||||
|
__real__ res = M_LOG1P (2 * rx / s) / 2;
|
||||||
|
if (adj)
|
||||||
|
__imag__ res = M_ATAN2 (s, __imag__ x);
|
||||||
|
else
|
||||||
|
__imag__ res = M_ATAN2 (ix, s);
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
FLOAT onemix2 = (1 + ix) * (1 - ix);
|
||||||
|
FLOAT rx2 = rx * rx;
|
||||||
|
FLOAT f = rx2 * (2 + rx2 + 2 * ix * ix);
|
||||||
|
FLOAT d = M_SQRT (onemix2 * onemix2 + f);
|
||||||
|
FLOAT dp = d + onemix2;
|
||||||
|
FLOAT dm = f / dp;
|
||||||
|
FLOAT r1 = M_SQRT ((dp + rx2) / 2);
|
||||||
|
FLOAT r2 = rx * ix / r1;
|
||||||
|
|
||||||
|
__real__ res = M_LOG1P (rx2 + dm + 2 * (rx * r1 + ix * r2)) / 2;
|
||||||
|
if (adj)
|
||||||
|
__imag__ res = M_ATAN2 (rx + r1, M_COPYSIGN (ix + r2,
|
||||||
__imag__ x));
|
__imag__ x));
|
||||||
else
|
else
|
||||||
__imag__ res = __ieee754_atan2 (ix + r2, rx + r1);
|
__imag__ res = M_ATAN2 (ix + r2, rx + r1);
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
else if (ix == 1.0 && rx < 0.5)
|
|
||||||
{
|
|
||||||
if (rx < DBL_EPSILON / 8.0)
|
|
||||||
{
|
|
||||||
__real__ res = __log1p (2.0 * (rx + __ieee754_sqrt (rx))) / 2.0;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2 (__ieee754_sqrt (rx),
|
|
||||||
__copysign (1.0, __imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2 (1.0, __ieee754_sqrt (rx));
|
|
||||||
}
|
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
double d = rx * __ieee754_sqrt (4.0 + rx * rx);
|
FLOAT s = M_HYPOT (1, rx);
|
||||||
double s1 = __ieee754_sqrt ((d + rx * rx) / 2.0);
|
|
||||||
double s2 = __ieee754_sqrt ((d - rx * rx) / 2.0);
|
|
||||||
|
|
||||||
__real__ res = __log1p (rx * rx + d + 2.0 * (rx * s1 + s2)) / 2.0;
|
__real__ res = M_LOG1P (2 * rx * (rx + s)) / 2;
|
||||||
if (adj)
|
if (adj)
|
||||||
__imag__ res = __ieee754_atan2 (rx + s1, __copysign (1.0 + s2,
|
__imag__ res = M_ATAN2 (s, __imag__ x);
|
||||||
__imag__ x));
|
|
||||||
else
|
else
|
||||||
__imag__ res = __ieee754_atan2 (1.0 + s2, rx + s1);
|
__imag__ res = M_ATAN2 (ix, s);
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (ix < 1.0 && rx < 0.5)
|
|
||||||
{
|
|
||||||
if (ix >= DBL_EPSILON)
|
|
||||||
{
|
|
||||||
if (rx < DBL_EPSILON * DBL_EPSILON)
|
|
||||||
{
|
|
||||||
double onemix2 = (1.0 + ix) * (1.0 - ix);
|
|
||||||
double s = __ieee754_sqrt (onemix2);
|
|
||||||
|
|
||||||
__real__ res = __log1p (2.0 * rx / s) / 2.0;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2 (s, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2 (ix, s);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
double onemix2 = (1.0 + ix) * (1.0 - ix);
|
|
||||||
double rx2 = rx * rx;
|
|
||||||
double f = rx2 * (2.0 + rx2 + 2.0 * ix * ix);
|
|
||||||
double d = __ieee754_sqrt (onemix2 * onemix2 + f);
|
|
||||||
double dp = d + onemix2;
|
|
||||||
double dm = f / dp;
|
|
||||||
double r1 = __ieee754_sqrt ((dp + rx2) / 2.0);
|
|
||||||
double r2 = rx * ix / r1;
|
|
||||||
|
|
||||||
__real__ res
|
|
||||||
= __log1p (rx2 + dm + 2.0 * (rx * r1 + ix * r2)) / 2.0;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2 (rx + r1,
|
|
||||||
__copysign (ix + r2,
|
|
||||||
__imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2 (ix + r2, rx + r1);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
double s = __ieee754_hypot (1.0, rx);
|
|
||||||
|
|
||||||
__real__ res = __log1p (2.0 * rx * (rx + s)) / 2.0;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2 (s, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2 (ix, s);
|
|
||||||
}
|
}
|
||||||
math_check_force_underflow_nonneg (__real__ res);
|
math_check_force_underflow_nonneg (__real__ res);
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
__real__ y = (rx - ix) * (rx + ix) + 1.0;
|
__real__ y = (rx - ix) * (rx + ix) + 1;
|
||||||
__imag__ y = 2.0 * rx * ix;
|
__imag__ y = 2 * rx * ix;
|
||||||
|
|
||||||
y = __csqrt (y);
|
y = M_SUF (__csqrt) (y);
|
||||||
|
|
||||||
__real__ y += rx;
|
__real__ y += rx;
|
||||||
__imag__ y += ix;
|
__imag__ y += ix;
|
||||||
|
|
||||||
if (adj)
|
if (adj)
|
||||||
{
|
{
|
||||||
double t = __real__ y;
|
FLOAT t = __real__ y;
|
||||||
__real__ y = __copysign (__imag__ y, __imag__ x);
|
__real__ y = M_COPYSIGN (__imag__ y, __imag__ x);
|
||||||
__imag__ y = t;
|
__imag__ y = t;
|
||||||
}
|
}
|
||||||
|
|
||||||
res = __clog (y);
|
res = M_SUF (__clog) (y);
|
||||||
}
|
}
|
||||||
|
|
||||||
/* Give results the correct sign for the original argument. */
|
/* Give results the correct sign for the original argument. */
|
||||||
__real__ res = __copysign (__real__ res, __real__ x);
|
__real__ res = M_COPYSIGN (__real__ res, __real__ x);
|
||||||
__imag__ res = __copysign (__imag__ res, (adj ? 1.0 : __imag__ x));
|
__imag__ res = M_COPYSIGN (__imag__ res, (adj ? 1 : __imag__ x));
|
||||||
|
|
||||||
return res;
|
return res;
|
||||||
}
|
}
|
||||||
|
|||||||
212
math/k_casinhf.c
212
math/k_casinhf.c
@ -1,212 +0,0 @@
|
|||||||
/* Return arc hyperbole sine for float value, with the imaginary part
|
|
||||||
of the result possibly adjusted for use in computing other
|
|
||||||
functions.
|
|
||||||
Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
|
||||||
This file is part of the GNU C Library.
|
|
||||||
|
|
||||||
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 <float.h>
|
|
||||||
|
|
||||||
/* Return the complex inverse hyperbolic sine of finite nonzero Z,
|
|
||||||
with the imaginary part of the result subtracted from pi/2 if ADJ
|
|
||||||
is nonzero. */
|
|
||||||
|
|
||||||
__complex__ float
|
|
||||||
__kernel_casinhf (__complex__ float x, int adj)
|
|
||||||
{
|
|
||||||
__complex__ float res;
|
|
||||||
float rx, ix;
|
|
||||||
__complex__ float y;
|
|
||||||
|
|
||||||
/* Avoid cancellation by reducing to the first quadrant. */
|
|
||||||
rx = fabsf (__real__ x);
|
|
||||||
ix = fabsf (__imag__ x);
|
|
||||||
|
|
||||||
if (rx >= 1.0f / FLT_EPSILON || ix >= 1.0f / FLT_EPSILON)
|
|
||||||
{
|
|
||||||
/* For large x in the first quadrant, x + csqrt (1 + x * x)
|
|
||||||
is sufficiently close to 2 * x to make no significant
|
|
||||||
difference to the result; avoid possible overflow from
|
|
||||||
the squaring and addition. */
|
|
||||||
__real__ y = rx;
|
|
||||||
__imag__ y = ix;
|
|
||||||
|
|
||||||
if (adj)
|
|
||||||
{
|
|
||||||
float t = __real__ y;
|
|
||||||
__real__ y = __copysignf (__imag__ y, __imag__ x);
|
|
||||||
__imag__ y = t;
|
|
||||||
}
|
|
||||||
|
|
||||||
res = __clogf (y);
|
|
||||||
__real__ res += (float) M_LN2;
|
|
||||||
}
|
|
||||||
else if (rx >= 0.5f && ix < FLT_EPSILON / 8.0f)
|
|
||||||
{
|
|
||||||
float s = __ieee754_hypotf (1.0f, rx);
|
|
||||||
|
|
||||||
__real__ res = __ieee754_logf (rx + s);
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2f (s, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2f (ix, s);
|
|
||||||
}
|
|
||||||
else if (rx < FLT_EPSILON / 8.0f && ix >= 1.5f)
|
|
||||||
{
|
|
||||||
float s = __ieee754_sqrtf ((ix + 1.0f) * (ix - 1.0f));
|
|
||||||
|
|
||||||
__real__ res = __ieee754_logf (ix + s);
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2f (rx, __copysignf (s, __imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2f (s, rx);
|
|
||||||
}
|
|
||||||
else if (ix > 1.0f && ix < 1.5f && rx < 0.5f)
|
|
||||||
{
|
|
||||||
if (rx < FLT_EPSILON * FLT_EPSILON)
|
|
||||||
{
|
|
||||||
float ix2m1 = (ix + 1.0f) * (ix - 1.0f);
|
|
||||||
float s = __ieee754_sqrtf (ix2m1);
|
|
||||||
|
|
||||||
__real__ res = __log1pf (2.0f * (ix2m1 + ix * s)) / 2.0f;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2f (rx, __copysignf (s, __imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2f (s, rx);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
float ix2m1 = (ix + 1.0f) * (ix - 1.0f);
|
|
||||||
float rx2 = rx * rx;
|
|
||||||
float f = rx2 * (2.0f + rx2 + 2.0f * ix * ix);
|
|
||||||
float d = __ieee754_sqrtf (ix2m1 * ix2m1 + f);
|
|
||||||
float dp = d + ix2m1;
|
|
||||||
float dm = f / dp;
|
|
||||||
float r1 = __ieee754_sqrtf ((dm + rx2) / 2.0f);
|
|
||||||
float r2 = rx * ix / r1;
|
|
||||||
|
|
||||||
__real__ res
|
|
||||||
= __log1pf (rx2 + dp + 2.0f * (rx * r1 + ix * r2)) / 2.0f;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2f (rx + r1, __copysignf (ix + r2,
|
|
||||||
__imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2f (ix + r2, rx + r1);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (ix == 1.0f && rx < 0.5f)
|
|
||||||
{
|
|
||||||
if (rx < FLT_EPSILON / 8.0f)
|
|
||||||
{
|
|
||||||
__real__ res = __log1pf (2.0f * (rx + __ieee754_sqrtf (rx))) / 2.0f;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2f (__ieee754_sqrtf (rx),
|
|
||||||
__copysignf (1.0f, __imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2f (1.0f, __ieee754_sqrtf (rx));
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
float d = rx * __ieee754_sqrtf (4.0f + rx * rx);
|
|
||||||
float s1 = __ieee754_sqrtf ((d + rx * rx) / 2.0f);
|
|
||||||
float s2 = __ieee754_sqrtf ((d - rx * rx) / 2.0f);
|
|
||||||
|
|
||||||
__real__ res = __log1pf (rx * rx + d + 2.0f * (rx * s1 + s2)) / 2.0f;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2f (rx + s1,
|
|
||||||
__copysignf (1.0f + s2,
|
|
||||||
__imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2f (1.0f + s2, rx + s1);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (ix < 1.0f && rx < 0.5f)
|
|
||||||
{
|
|
||||||
if (ix >= FLT_EPSILON)
|
|
||||||
{
|
|
||||||
if (rx < FLT_EPSILON * FLT_EPSILON)
|
|
||||||
{
|
|
||||||
float onemix2 = (1.0f + ix) * (1.0f - ix);
|
|
||||||
float s = __ieee754_sqrtf (onemix2);
|
|
||||||
|
|
||||||
__real__ res = __log1pf (2.0f * rx / s) / 2.0f;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2f (s, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2f (ix, s);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
float onemix2 = (1.0f + ix) * (1.0f - ix);
|
|
||||||
float rx2 = rx * rx;
|
|
||||||
float f = rx2 * (2.0f + rx2 + 2.0f * ix * ix);
|
|
||||||
float d = __ieee754_sqrtf (onemix2 * onemix2 + f);
|
|
||||||
float dp = d + onemix2;
|
|
||||||
float dm = f / dp;
|
|
||||||
float r1 = __ieee754_sqrtf ((dp + rx2) / 2.0f);
|
|
||||||
float r2 = rx * ix / r1;
|
|
||||||
|
|
||||||
__real__ res
|
|
||||||
= __log1pf (rx2 + dm + 2.0f * (rx * r1 + ix * r2)) / 2.0f;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2f (rx + r1,
|
|
||||||
__copysignf (ix + r2,
|
|
||||||
__imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2f (ix + r2, rx + r1);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
float s = __ieee754_hypotf (1.0f, rx);
|
|
||||||
|
|
||||||
__real__ res = __log1pf (2.0f * rx * (rx + s)) / 2.0f;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2f (s, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2f (ix, s);
|
|
||||||
}
|
|
||||||
math_check_force_underflow_nonneg (__real__ res);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ y = (rx - ix) * (rx + ix) + 1.0f;
|
|
||||||
__imag__ y = 2.0f * rx * ix;
|
|
||||||
|
|
||||||
y = __csqrtf (y);
|
|
||||||
|
|
||||||
__real__ y += rx;
|
|
||||||
__imag__ y += ix;
|
|
||||||
|
|
||||||
if (adj)
|
|
||||||
{
|
|
||||||
float t = __real__ y;
|
|
||||||
__real__ y = __copysignf (__imag__ y, __imag__ x);
|
|
||||||
__imag__ y = t;
|
|
||||||
}
|
|
||||||
|
|
||||||
res = __clogf (y);
|
|
||||||
}
|
|
||||||
|
|
||||||
/* Give results the correct sign for the original argument. */
|
|
||||||
__real__ res = __copysignf (__real__ res, __real__ x);
|
|
||||||
__imag__ res = __copysignf (__imag__ res, (adj ? 1.0f : __imag__ x));
|
|
||||||
|
|
||||||
return res;
|
|
||||||
}
|
|
||||||
219
math/k_casinhl.c
219
math/k_casinhl.c
@ -1,219 +0,0 @@
|
|||||||
/* Return arc hyperbole sine for long double value, with the imaginary
|
|
||||||
part of the result possibly adjusted for use in computing other
|
|
||||||
functions.
|
|
||||||
Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
|
||||||
This file is part of the GNU C Library.
|
|
||||||
|
|
||||||
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 <float.h>
|
|
||||||
|
|
||||||
/* To avoid spurious overflows, use this definition to treat IBM long
|
|
||||||
double as approximating an IEEE-style format. */
|
|
||||||
#if LDBL_MANT_DIG == 106
|
|
||||||
# undef LDBL_EPSILON
|
|
||||||
# define LDBL_EPSILON 0x1p-106L
|
|
||||||
#endif
|
|
||||||
|
|
||||||
/* Return the complex inverse hyperbolic sine of finite nonzero Z,
|
|
||||||
with the imaginary part of the result subtracted from pi/2 if ADJ
|
|
||||||
is nonzero. */
|
|
||||||
|
|
||||||
__complex__ long double
|
|
||||||
__kernel_casinhl (__complex__ long double x, int adj)
|
|
||||||
{
|
|
||||||
__complex__ long double res;
|
|
||||||
long double rx, ix;
|
|
||||||
__complex__ long double y;
|
|
||||||
|
|
||||||
/* Avoid cancellation by reducing to the first quadrant. */
|
|
||||||
rx = fabsl (__real__ x);
|
|
||||||
ix = fabsl (__imag__ x);
|
|
||||||
|
|
||||||
if (rx >= 1.0L / LDBL_EPSILON || ix >= 1.0L / LDBL_EPSILON)
|
|
||||||
{
|
|
||||||
/* For large x in the first quadrant, x + csqrt (1 + x * x)
|
|
||||||
is sufficiently close to 2 * x to make no significant
|
|
||||||
difference to the result; avoid possible overflow from
|
|
||||||
the squaring and addition. */
|
|
||||||
__real__ y = rx;
|
|
||||||
__imag__ y = ix;
|
|
||||||
|
|
||||||
if (adj)
|
|
||||||
{
|
|
||||||
long double t = __real__ y;
|
|
||||||
__real__ y = __copysignl (__imag__ y, __imag__ x);
|
|
||||||
__imag__ y = t;
|
|
||||||
}
|
|
||||||
|
|
||||||
res = __clogl (y);
|
|
||||||
__real__ res += M_LN2l;
|
|
||||||
}
|
|
||||||
else if (rx >= 0.5L && ix < LDBL_EPSILON / 8.0L)
|
|
||||||
{
|
|
||||||
long double s = __ieee754_hypotl (1.0L, rx);
|
|
||||||
|
|
||||||
__real__ res = __ieee754_logl (rx + s);
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2l (s, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2l (ix, s);
|
|
||||||
}
|
|
||||||
else if (rx < LDBL_EPSILON / 8.0L && ix >= 1.5L)
|
|
||||||
{
|
|
||||||
long double s = __ieee754_sqrtl ((ix + 1.0L) * (ix - 1.0L));
|
|
||||||
|
|
||||||
__real__ res = __ieee754_logl (ix + s);
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2l (rx, __copysignl (s, __imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2l (s, rx);
|
|
||||||
}
|
|
||||||
else if (ix > 1.0L && ix < 1.5L && rx < 0.5L)
|
|
||||||
{
|
|
||||||
if (rx < LDBL_EPSILON * LDBL_EPSILON)
|
|
||||||
{
|
|
||||||
long double ix2m1 = (ix + 1.0L) * (ix - 1.0L);
|
|
||||||
long double s = __ieee754_sqrtl (ix2m1);
|
|
||||||
|
|
||||||
__real__ res = __log1pl (2.0L * (ix2m1 + ix * s)) / 2.0L;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2l (rx, __copysignl (s, __imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2l (s, rx);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
long double ix2m1 = (ix + 1.0L) * (ix - 1.0L);
|
|
||||||
long double rx2 = rx * rx;
|
|
||||||
long double f = rx2 * (2.0L + rx2 + 2.0L * ix * ix);
|
|
||||||
long double d = __ieee754_sqrtl (ix2m1 * ix2m1 + f);
|
|
||||||
long double dp = d + ix2m1;
|
|
||||||
long double dm = f / dp;
|
|
||||||
long double r1 = __ieee754_sqrtl ((dm + rx2) / 2.0L);
|
|
||||||
long double r2 = rx * ix / r1;
|
|
||||||
|
|
||||||
__real__ res
|
|
||||||
= __log1pl (rx2 + dp + 2.0L * (rx * r1 + ix * r2)) / 2.0L;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2l (rx + r1, __copysignl (ix + r2,
|
|
||||||
__imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2l (ix + r2, rx + r1);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (ix == 1.0L && rx < 0.5L)
|
|
||||||
{
|
|
||||||
if (rx < LDBL_EPSILON / 8.0L)
|
|
||||||
{
|
|
||||||
__real__ res = __log1pl (2.0L * (rx + __ieee754_sqrtl (rx))) / 2.0L;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2l (__ieee754_sqrtl (rx),
|
|
||||||
__copysignl (1.0L, __imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2l (1.0L, __ieee754_sqrtl (rx));
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
long double d = rx * __ieee754_sqrtl (4.0L + rx * rx);
|
|
||||||
long double s1 = __ieee754_sqrtl ((d + rx * rx) / 2.0L);
|
|
||||||
long double s2 = __ieee754_sqrtl ((d - rx * rx) / 2.0L);
|
|
||||||
|
|
||||||
__real__ res = __log1pl (rx * rx + d + 2.0L * (rx * s1 + s2)) / 2.0L;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2l (rx + s1,
|
|
||||||
__copysignl (1.0L + s2,
|
|
||||||
__imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2l (1.0L + s2, rx + s1);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (ix < 1.0L && rx < 0.5L)
|
|
||||||
{
|
|
||||||
if (ix >= LDBL_EPSILON)
|
|
||||||
{
|
|
||||||
if (rx < LDBL_EPSILON * LDBL_EPSILON)
|
|
||||||
{
|
|
||||||
long double onemix2 = (1.0L + ix) * (1.0L - ix);
|
|
||||||
long double s = __ieee754_sqrtl (onemix2);
|
|
||||||
|
|
||||||
__real__ res = __log1pl (2.0L * rx / s) / 2.0L;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2l (s, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2l (ix, s);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
long double onemix2 = (1.0L + ix) * (1.0L - ix);
|
|
||||||
long double rx2 = rx * rx;
|
|
||||||
long double f = rx2 * (2.0L + rx2 + 2.0L * ix * ix);
|
|
||||||
long double d = __ieee754_sqrtl (onemix2 * onemix2 + f);
|
|
||||||
long double dp = d + onemix2;
|
|
||||||
long double dm = f / dp;
|
|
||||||
long double r1 = __ieee754_sqrtl ((dp + rx2) / 2.0L);
|
|
||||||
long double r2 = rx * ix / r1;
|
|
||||||
|
|
||||||
__real__ res
|
|
||||||
= __log1pl (rx2 + dm + 2.0L * (rx * r1 + ix * r2)) / 2.0L;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2l (rx + r1,
|
|
||||||
__copysignl (ix + r2,
|
|
||||||
__imag__ x));
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2l (ix + r2, rx + r1);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
long double s = __ieee754_hypotl (1.0L, rx);
|
|
||||||
|
|
||||||
__real__ res = __log1pl (2.0L * rx * (rx + s)) / 2.0L;
|
|
||||||
if (adj)
|
|
||||||
__imag__ res = __ieee754_atan2l (s, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __ieee754_atan2l (ix, s);
|
|
||||||
}
|
|
||||||
math_check_force_underflow_nonneg (__real__ res);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ y = (rx - ix) * (rx + ix) + 1.0L;
|
|
||||||
__imag__ y = 2.0L * rx * ix;
|
|
||||||
|
|
||||||
y = __csqrtl (y);
|
|
||||||
|
|
||||||
__real__ y += rx;
|
|
||||||
__imag__ y += ix;
|
|
||||||
|
|
||||||
if (adj)
|
|
||||||
{
|
|
||||||
long double t = __real__ y;
|
|
||||||
__real__ y = __copysignl (__imag__ y, __imag__ x);
|
|
||||||
__imag__ y = t;
|
|
||||||
}
|
|
||||||
|
|
||||||
res = __clogl (y);
|
|
||||||
}
|
|
||||||
|
|
||||||
/* Give results the correct sign for the original argument. */
|
|
||||||
__real__ res = __copysignl (__real__ res, __real__ x);
|
|
||||||
__imag__ res = __copysignl (__imag__ res, (adj ? 1.0L : __imag__ x));
|
|
||||||
|
|
||||||
return res;
|
|
||||||
}
|
|
||||||
@ -1,66 +0,0 @@
|
|||||||
/* Return arc sine of complex double value.
|
|
||||||
Copyright (C) 1997-2016 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>
|
|
||||||
|
|
||||||
|
|
||||||
__complex__ double
|
|
||||||
__casin (__complex__ double x)
|
|
||||||
{
|
|
||||||
__complex__ double res;
|
|
||||||
|
|
||||||
if (isnan (__real__ x) || isnan (__imag__ x))
|
|
||||||
{
|
|
||||||
if (__real__ x == 0.0)
|
|
||||||
{
|
|
||||||
res = x;
|
|
||||||
}
|
|
||||||
else if (isinf (__real__ x) || isinf (__imag__ x))
|
|
||||||
{
|
|
||||||
__real__ res = __nan ("");
|
|
||||||
__imag__ res = __copysign (HUGE_VAL, __imag__ x);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ res = __nan ("");
|
|
||||||
__imag__ res = __nan ("");
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__complex__ double y;
|
|
||||||
|
|
||||||
__real__ y = -__imag__ x;
|
|
||||||
__imag__ y = __real__ x;
|
|
||||||
|
|
||||||
y = __casinh (y);
|
|
||||||
|
|
||||||
__real__ res = __imag__ y;
|
|
||||||
__imag__ res = -__real__ y;
|
|
||||||
}
|
|
||||||
|
|
||||||
return res;
|
|
||||||
}
|
|
||||||
weak_alias (__casin, casin)
|
|
||||||
#ifdef NO_LONG_DOUBLE
|
|
||||||
strong_alias (__casin, __casinl)
|
|
||||||
weak_alias (__casin, casinl)
|
|
||||||
#endif
|
|
||||||
@ -1,4 +1,4 @@
|
|||||||
/* Return arc sine of complex double value.
|
/* Return arc sine of a complex float type.
|
||||||
Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
||||||
This file is part of the GNU C Library.
|
This file is part of the GNU C Library.
|
||||||
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
||||||
@ -22,36 +22,36 @@
|
|||||||
#include <math_private.h>
|
#include <math_private.h>
|
||||||
|
|
||||||
|
|
||||||
__complex__ double
|
CFLOAT
|
||||||
__casin (__complex__ double x)
|
M_DECL_FUNC (__casin) (CFLOAT x)
|
||||||
{
|
{
|
||||||
__complex__ double res;
|
CFLOAT res;
|
||||||
|
|
||||||
if (isnan (__real__ x) || isnan (__imag__ x))
|
if (isnan (__real__ x) || isnan (__imag__ x))
|
||||||
{
|
{
|
||||||
if (__real__ x == 0.0)
|
if (__real__ x == 0)
|
||||||
{
|
{
|
||||||
res = x;
|
res = x;
|
||||||
}
|
}
|
||||||
else if (isinf (__real__ x) || isinf (__imag__ x))
|
else if (isinf (__real__ x) || isinf (__imag__ x))
|
||||||
{
|
{
|
||||||
__real__ res = __nan ("");
|
__real__ res = M_NAN;
|
||||||
__imag__ res = __copysign (HUGE_VAL, __imag__ x);
|
__imag__ res = M_COPYSIGN (M_HUGE_VAL, __imag__ x);
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
__real__ res = __nan ("");
|
__real__ res = M_NAN;
|
||||||
__imag__ res = __nan ("");
|
__imag__ res = M_NAN;
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
__complex__ double y;
|
CFLOAT y;
|
||||||
|
|
||||||
__real__ y = -__imag__ x;
|
__real__ y = -__imag__ x;
|
||||||
__imag__ y = __real__ x;
|
__imag__ y = __real__ x;
|
||||||
|
|
||||||
y = __casinh (y);
|
y = M_SUF (__casinh) (y);
|
||||||
|
|
||||||
__real__ res = __imag__ y;
|
__real__ res = __imag__ y;
|
||||||
__imag__ res = -__real__ y;
|
__imag__ res = -__real__ y;
|
||||||
@ -59,8 +59,9 @@ __casin (__complex__ double x)
|
|||||||
|
|
||||||
return res;
|
return res;
|
||||||
}
|
}
|
||||||
weak_alias (__casin, casin)
|
|
||||||
#ifdef NO_LONG_DOUBLE
|
declare_mgen_alias (__casin, casin)
|
||||||
strong_alias (__casin, __casinl)
|
|
||||||
weak_alias (__casin, casinl)
|
#if M_LIBM_NEED_COMPAT (casin)
|
||||||
|
declare_mgen_libm_compat (__casin, casin)
|
||||||
#endif
|
#endif
|
||||||
|
|||||||
@ -1,64 +0,0 @@
|
|||||||
/* Return arc sine of complex float value.
|
|
||||||
Copyright (C) 1997-2016 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>
|
|
||||||
|
|
||||||
|
|
||||||
__complex__ float
|
|
||||||
__casinf (__complex__ float x)
|
|
||||||
{
|
|
||||||
__complex__ float res;
|
|
||||||
|
|
||||||
if (isnan (__real__ x) || isnan (__imag__ x))
|
|
||||||
{
|
|
||||||
if (__real__ x == 0.0)
|
|
||||||
{
|
|
||||||
res = x;
|
|
||||||
}
|
|
||||||
else if (isinf (__real__ x) || isinf (__imag__ x))
|
|
||||||
{
|
|
||||||
__real__ res = __nanf ("");
|
|
||||||
__imag__ res = __copysignf (HUGE_VALF, __imag__ x);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ res = __nanf ("");
|
|
||||||
__imag__ res = __nanf ("");
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__complex__ float y;
|
|
||||||
|
|
||||||
__real__ y = -__imag__ x;
|
|
||||||
__imag__ y = __real__ x;
|
|
||||||
|
|
||||||
y = __casinhf (y);
|
|
||||||
|
|
||||||
__real__ res = __imag__ y;
|
|
||||||
__imag__ res = -__real__ y;
|
|
||||||
}
|
|
||||||
|
|
||||||
return res;
|
|
||||||
}
|
|
||||||
#ifndef __casinf
|
|
||||||
weak_alias (__casinf, casinf)
|
|
||||||
#endif
|
|
||||||
@ -1,73 +0,0 @@
|
|||||||
/* Return arc hyperbole sine for double value.
|
|
||||||
Copyright (C) 1997-2016 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>
|
|
||||||
|
|
||||||
__complex__ double
|
|
||||||
__casinh (__complex__ double x)
|
|
||||||
{
|
|
||||||
__complex__ double res;
|
|
||||||
int rcls = fpclassify (__real__ x);
|
|
||||||
int icls = fpclassify (__imag__ x);
|
|
||||||
|
|
||||||
if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
|
|
||||||
{
|
|
||||||
if (icls == FP_INFINITE)
|
|
||||||
{
|
|
||||||
__real__ res = __copysign (HUGE_VAL, __real__ x);
|
|
||||||
|
|
||||||
if (rcls == FP_NAN)
|
|
||||||
__imag__ res = __nan ("");
|
|
||||||
else
|
|
||||||
__imag__ res = __copysign (rcls >= FP_ZERO ? M_PI_2 : M_PI_4,
|
|
||||||
__imag__ x);
|
|
||||||
}
|
|
||||||
else if (rcls <= FP_INFINITE)
|
|
||||||
{
|
|
||||||
__real__ res = __real__ x;
|
|
||||||
if ((rcls == FP_INFINITE && icls >= FP_ZERO)
|
|
||||||
|| (rcls == FP_NAN && icls == FP_ZERO))
|
|
||||||
__imag__ res = __copysign (0.0, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __nan ("");
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ res = __nan ("");
|
|
||||||
__imag__ res = __nan ("");
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (rcls == FP_ZERO && icls == FP_ZERO)
|
|
||||||
{
|
|
||||||
res = x;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
res = __kernel_casinh (x, 0);
|
|
||||||
}
|
|
||||||
|
|
||||||
return res;
|
|
||||||
}
|
|
||||||
weak_alias (__casinh, casinh)
|
|
||||||
#ifdef NO_LONG_DOUBLE
|
|
||||||
strong_alias (__casinh, __casinhl)
|
|
||||||
weak_alias (__casinh, casinhl)
|
|
||||||
#endif
|
|
||||||
@ -1,4 +1,4 @@
|
|||||||
/* Return arc hyperbole sine for double value.
|
/* Return arc hyperbolic sine for a complex float type.
|
||||||
Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
||||||
This file is part of the GNU C Library.
|
This file is part of the GNU C Library.
|
||||||
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
||||||
@ -21,10 +21,10 @@
|
|||||||
#include <math.h>
|
#include <math.h>
|
||||||
#include <math_private.h>
|
#include <math_private.h>
|
||||||
|
|
||||||
__complex__ double
|
CFLOAT
|
||||||
__casinh (__complex__ double x)
|
M_DECL_FUNC (__casinh) (CFLOAT x)
|
||||||
{
|
{
|
||||||
__complex__ double res;
|
CFLOAT res;
|
||||||
int rcls = fpclassify (__real__ x);
|
int rcls = fpclassify (__real__ x);
|
||||||
int icls = fpclassify (__imag__ x);
|
int icls = fpclassify (__imag__ x);
|
||||||
|
|
||||||
@ -32,12 +32,13 @@ __casinh (__complex__ double x)
|
|||||||
{
|
{
|
||||||
if (icls == FP_INFINITE)
|
if (icls == FP_INFINITE)
|
||||||
{
|
{
|
||||||
__real__ res = __copysign (HUGE_VAL, __real__ x);
|
__real__ res = M_COPYSIGN (M_HUGE_VAL, __real__ x);
|
||||||
|
|
||||||
if (rcls == FP_NAN)
|
if (rcls == FP_NAN)
|
||||||
__imag__ res = __nan ("");
|
__imag__ res = M_NAN;
|
||||||
else
|
else
|
||||||
__imag__ res = __copysign (rcls >= FP_ZERO ? M_PI_2 : M_PI_4,
|
__imag__ res = M_COPYSIGN ((rcls >= FP_ZERO
|
||||||
|
? M_MLIT (M_PI_2) : M_MLIT (M_PI_4)),
|
||||||
__imag__ x);
|
__imag__ x);
|
||||||
}
|
}
|
||||||
else if (rcls <= FP_INFINITE)
|
else if (rcls <= FP_INFINITE)
|
||||||
@ -45,14 +46,14 @@ __casinh (__complex__ double x)
|
|||||||
__real__ res = __real__ x;
|
__real__ res = __real__ x;
|
||||||
if ((rcls == FP_INFINITE && icls >= FP_ZERO)
|
if ((rcls == FP_INFINITE && icls >= FP_ZERO)
|
||||||
|| (rcls == FP_NAN && icls == FP_ZERO))
|
|| (rcls == FP_NAN && icls == FP_ZERO))
|
||||||
__imag__ res = __copysign (0.0, __imag__ x);
|
__imag__ res = M_COPYSIGN (0, __imag__ x);
|
||||||
else
|
else
|
||||||
__imag__ res = __nan ("");
|
__imag__ res = M_NAN;
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
__real__ res = __nan ("");
|
__real__ res = M_NAN;
|
||||||
__imag__ res = __nan ("");
|
__imag__ res = M_NAN;
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
else if (rcls == FP_ZERO && icls == FP_ZERO)
|
else if (rcls == FP_ZERO && icls == FP_ZERO)
|
||||||
@ -61,13 +62,14 @@ __casinh (__complex__ double x)
|
|||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
res = __kernel_casinh (x, 0);
|
res = M_SUF (__kernel_casinh) (x, 0);
|
||||||
}
|
}
|
||||||
|
|
||||||
return res;
|
return res;
|
||||||
}
|
}
|
||||||
weak_alias (__casinh, casinh)
|
|
||||||
#ifdef NO_LONG_DOUBLE
|
declare_mgen_alias (__casinh, casinh)
|
||||||
strong_alias (__casinh, __casinhl)
|
|
||||||
weak_alias (__casinh, casinhl)
|
#if M_LIBM_NEED_COMPAT (casinh)
|
||||||
|
declare_mgen_libm_compat (__casinh, casinh)
|
||||||
#endif
|
#endif
|
||||||
|
|||||||
@ -1,71 +0,0 @@
|
|||||||
/* Return arc hyperbole sine for float value.
|
|
||||||
Copyright (C) 1997-2016 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>
|
|
||||||
|
|
||||||
__complex__ float
|
|
||||||
__casinhf (__complex__ float x)
|
|
||||||
{
|
|
||||||
__complex__ float res;
|
|
||||||
int rcls = fpclassify (__real__ x);
|
|
||||||
int icls = fpclassify (__imag__ x);
|
|
||||||
|
|
||||||
if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
|
|
||||||
{
|
|
||||||
if (icls == FP_INFINITE)
|
|
||||||
{
|
|
||||||
__real__ res = __copysignf (HUGE_VALF, __real__ x);
|
|
||||||
|
|
||||||
if (rcls == FP_NAN)
|
|
||||||
__imag__ res = __nanf ("");
|
|
||||||
else
|
|
||||||
__imag__ res = __copysignf (rcls >= FP_ZERO ? M_PI_2 : M_PI_4,
|
|
||||||
__imag__ x);
|
|
||||||
}
|
|
||||||
else if (rcls <= FP_INFINITE)
|
|
||||||
{
|
|
||||||
__real__ res = __real__ x;
|
|
||||||
if ((rcls == FP_INFINITE && icls >= FP_ZERO)
|
|
||||||
|| (rcls == FP_NAN && icls == FP_ZERO))
|
|
||||||
__imag__ res = __copysignf (0.0, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __nanf ("");
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ res = __nanf ("");
|
|
||||||
__imag__ res = __nanf ("");
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (rcls == FP_ZERO && icls == FP_ZERO)
|
|
||||||
{
|
|
||||||
res = x;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
res = __kernel_casinhf (x, 0);
|
|
||||||
}
|
|
||||||
|
|
||||||
return res;
|
|
||||||
}
|
|
||||||
#ifndef __casinhf
|
|
||||||
weak_alias (__casinhf, casinhf)
|
|
||||||
#endif
|
|
||||||
@ -1,69 +0,0 @@
|
|||||||
/* Return arc hyperbole sine for long double value.
|
|
||||||
Copyright (C) 1997-2016 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>
|
|
||||||
|
|
||||||
__complex__ long double
|
|
||||||
__casinhl (__complex__ long double x)
|
|
||||||
{
|
|
||||||
__complex__ long double res;
|
|
||||||
int rcls = fpclassify (__real__ x);
|
|
||||||
int icls = fpclassify (__imag__ x);
|
|
||||||
|
|
||||||
if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
|
|
||||||
{
|
|
||||||
if (icls == FP_INFINITE)
|
|
||||||
{
|
|
||||||
__real__ res = __copysignl (HUGE_VALL, __real__ x);
|
|
||||||
|
|
||||||
if (rcls == FP_NAN)
|
|
||||||
__imag__ res = __nanl ("");
|
|
||||||
else
|
|
||||||
__imag__ res = __copysignl (rcls >= FP_ZERO ? M_PI_2l : M_PI_4l,
|
|
||||||
__imag__ x);
|
|
||||||
}
|
|
||||||
else if (rcls <= FP_INFINITE)
|
|
||||||
{
|
|
||||||
__real__ res = __real__ x;
|
|
||||||
if ((rcls == FP_INFINITE && icls >= FP_ZERO)
|
|
||||||
|| (rcls == FP_NAN && icls == FP_ZERO))
|
|
||||||
__imag__ res = __copysignl (0.0, __imag__ x);
|
|
||||||
else
|
|
||||||
__imag__ res = __nanl ("");
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ res = __nanl ("");
|
|
||||||
__imag__ res = __nanl ("");
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (rcls == FP_ZERO && icls == FP_ZERO)
|
|
||||||
{
|
|
||||||
res = x;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
res = __kernel_casinhl (x, 0);
|
|
||||||
}
|
|
||||||
|
|
||||||
return res;
|
|
||||||
}
|
|
||||||
weak_alias (__casinhl, casinhl)
|
|
||||||
@ -1,62 +0,0 @@
|
|||||||
/* Return arc sine of complex long double value.
|
|
||||||
Copyright (C) 1997-2016 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>
|
|
||||||
|
|
||||||
|
|
||||||
__complex__ long double
|
|
||||||
__casinl (__complex__ long double x)
|
|
||||||
{
|
|
||||||
__complex__ long double res;
|
|
||||||
|
|
||||||
if (isnan (__real__ x) || isnan (__imag__ x))
|
|
||||||
{
|
|
||||||
if (__real__ x == 0.0)
|
|
||||||
{
|
|
||||||
res = x;
|
|
||||||
}
|
|
||||||
else if (isinf (__real__ x) || isinf (__imag__ x))
|
|
||||||
{
|
|
||||||
__real__ res = __nanl ("");
|
|
||||||
__imag__ res = __copysignl (HUGE_VALL, __imag__ x);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ res = __nanl ("");
|
|
||||||
__imag__ res = __nanl ("");
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__complex__ long double y;
|
|
||||||
|
|
||||||
__real__ y = -__imag__ x;
|
|
||||||
__imag__ y = __real__ x;
|
|
||||||
|
|
||||||
y = __casinhl (y);
|
|
||||||
|
|
||||||
__real__ res = __imag__ y;
|
|
||||||
__imag__ res = -__real__ y;
|
|
||||||
}
|
|
||||||
|
|
||||||
return res;
|
|
||||||
}
|
|
||||||
weak_alias (__casinl, casinl)
|
|
||||||
171
math/s_csin.c
171
math/s_csin.c
@ -1,171 +0,0 @@
|
|||||||
/* Complex sine function for double.
|
|
||||||
Copyright (C) 1997-2016 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 <fenv.h>
|
|
||||||
#include <math.h>
|
|
||||||
#include <math_private.h>
|
|
||||||
#include <float.h>
|
|
||||||
|
|
||||||
__complex__ double
|
|
||||||
__csin (__complex__ double x)
|
|
||||||
{
|
|
||||||
__complex__ double retval;
|
|
||||||
int negate = signbit (__real__ x);
|
|
||||||
int rcls = fpclassify (__real__ x);
|
|
||||||
int icls = fpclassify (__imag__ x);
|
|
||||||
|
|
||||||
__real__ x = fabs (__real__ x);
|
|
||||||
|
|
||||||
if (__glibc_likely (icls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Imaginary part is finite. */
|
|
||||||
if (__glibc_likely (rcls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Real part is finite. */
|
|
||||||
const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
|
|
||||||
double sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (__real__ x > DBL_MIN))
|
|
||||||
{
|
|
||||||
__sincos (__real__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __real__ x;
|
|
||||||
cosix = 1.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
sinix = -sinix;
|
|
||||||
|
|
||||||
if (fabs (__imag__ x) > t)
|
|
||||||
{
|
|
||||||
double exp_t = __ieee754_exp (t);
|
|
||||||
double ix = fabs (__imag__ x);
|
|
||||||
if (signbit (__imag__ x))
|
|
||||||
cosix = -cosix;
|
|
||||||
ix -= t;
|
|
||||||
sinix *= exp_t / 2.0;
|
|
||||||
cosix *= exp_t / 2.0;
|
|
||||||
if (ix > t)
|
|
||||||
{
|
|
||||||
ix -= t;
|
|
||||||
sinix *= exp_t;
|
|
||||||
cosix *= exp_t;
|
|
||||||
}
|
|
||||||
if (ix > t)
|
|
||||||
{
|
|
||||||
/* Overflow (original imaginary part of x > 3t). */
|
|
||||||
__real__ retval = DBL_MAX * sinix;
|
|
||||||
__imag__ retval = DBL_MAX * cosix;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
double exp_val = __ieee754_exp (ix);
|
|
||||||
__real__ retval = exp_val * sinix;
|
|
||||||
__imag__ retval = exp_val * cosix;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __ieee754_cosh (__imag__ x) * sinix;
|
|
||||||
__imag__ retval = __ieee754_sinh (__imag__ x) * cosix;
|
|
||||||
}
|
|
||||||
|
|
||||||
math_check_force_underflow_complex (retval);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
if (icls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Imaginary part is 0.0. */
|
|
||||||
__real__ retval = __nan ("");
|
|
||||||
__imag__ retval = __imag__ x;
|
|
||||||
|
|
||||||
if (rcls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __nan ("");
|
|
||||||
__imag__ retval = __nan ("");
|
|
||||||
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (icls == FP_INFINITE)
|
|
||||||
{
|
|
||||||
/* Imaginary part is infinite. */
|
|
||||||
if (rcls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Real part is 0.0. */
|
|
||||||
__real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
|
|
||||||
__imag__ retval = __imag__ x;
|
|
||||||
}
|
|
||||||
else if (rcls > FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Real part is finite. */
|
|
||||||
double sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (__real__ x > DBL_MIN))
|
|
||||||
{
|
|
||||||
__sincos (__real__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __real__ x;
|
|
||||||
cosix = 1.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
__real__ retval = __copysign (HUGE_VAL, sinix);
|
|
||||||
__imag__ retval = __copysign (HUGE_VAL, cosix);
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
__real__ retval = -__real__ retval;
|
|
||||||
if (signbit (__imag__ x))
|
|
||||||
__imag__ retval = -__imag__ retval;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
/* The addition raises the invalid exception. */
|
|
||||||
__real__ retval = __nan ("");
|
|
||||||
__imag__ retval = HUGE_VAL;
|
|
||||||
|
|
||||||
if (rcls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
if (rcls == FP_ZERO)
|
|
||||||
__real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
|
|
||||||
else
|
|
||||||
__real__ retval = __nan ("");
|
|
||||||
__imag__ retval = __nan ("");
|
|
||||||
}
|
|
||||||
|
|
||||||
return retval;
|
|
||||||
}
|
|
||||||
weak_alias (__csin, csin)
|
|
||||||
#ifdef NO_LONG_DOUBLE
|
|
||||||
strong_alias (__csin, __csinl)
|
|
||||||
weak_alias (__csin, csinl)
|
|
||||||
#endif
|
|
||||||
@ -1,4 +1,4 @@
|
|||||||
/* Complex sine function for double.
|
/* Complex sine function for float types.
|
||||||
Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
||||||
This file is part of the GNU C Library.
|
This file is part of the GNU C Library.
|
||||||
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
||||||
@ -23,15 +23,15 @@
|
|||||||
#include <math_private.h>
|
#include <math_private.h>
|
||||||
#include <float.h>
|
#include <float.h>
|
||||||
|
|
||||||
__complex__ double
|
CFLOAT
|
||||||
__csin (__complex__ double x)
|
M_DECL_FUNC (__csin) (CFLOAT x)
|
||||||
{
|
{
|
||||||
__complex__ double retval;
|
CFLOAT retval;
|
||||||
int negate = signbit (__real__ x);
|
int negate = signbit (__real__ x);
|
||||||
int rcls = fpclassify (__real__ x);
|
int rcls = fpclassify (__real__ x);
|
||||||
int icls = fpclassify (__imag__ x);
|
int icls = fpclassify (__imag__ x);
|
||||||
|
|
||||||
__real__ x = fabs (__real__ x);
|
__real__ x = M_FABS (__real__ x);
|
||||||
|
|
||||||
if (__glibc_likely (icls >= FP_ZERO))
|
if (__glibc_likely (icls >= FP_ZERO))
|
||||||
{
|
{
|
||||||
@ -39,31 +39,31 @@ __csin (__complex__ double x)
|
|||||||
if (__glibc_likely (rcls >= FP_ZERO))
|
if (__glibc_likely (rcls >= FP_ZERO))
|
||||||
{
|
{
|
||||||
/* Real part is finite. */
|
/* Real part is finite. */
|
||||||
const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
|
const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2));
|
||||||
double sinix, cosix;
|
FLOAT sinix, cosix;
|
||||||
|
|
||||||
if (__glibc_likely (__real__ x > DBL_MIN))
|
if (__glibc_likely (__real__ x > M_MIN))
|
||||||
{
|
{
|
||||||
__sincos (__real__ x, &sinix, &cosix);
|
M_SINCOS (__real__ x, &sinix, &cosix);
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
sinix = __real__ x;
|
sinix = __real__ x;
|
||||||
cosix = 1.0;
|
cosix = 1;
|
||||||
}
|
}
|
||||||
|
|
||||||
if (negate)
|
if (negate)
|
||||||
sinix = -sinix;
|
sinix = -sinix;
|
||||||
|
|
||||||
if (fabs (__imag__ x) > t)
|
if (M_FABS (__imag__ x) > t)
|
||||||
{
|
{
|
||||||
double exp_t = __ieee754_exp (t);
|
FLOAT exp_t = M_EXP (t);
|
||||||
double ix = fabs (__imag__ x);
|
FLOAT ix = M_FABS (__imag__ x);
|
||||||
if (signbit (__imag__ x))
|
if (signbit (__imag__ x))
|
||||||
cosix = -cosix;
|
cosix = -cosix;
|
||||||
ix -= t;
|
ix -= t;
|
||||||
sinix *= exp_t / 2.0;
|
sinix *= exp_t / 2;
|
||||||
cosix *= exp_t / 2.0;
|
cosix *= exp_t / 2;
|
||||||
if (ix > t)
|
if (ix > t)
|
||||||
{
|
{
|
||||||
ix -= t;
|
ix -= t;
|
||||||
@ -73,20 +73,20 @@ __csin (__complex__ double x)
|
|||||||
if (ix > t)
|
if (ix > t)
|
||||||
{
|
{
|
||||||
/* Overflow (original imaginary part of x > 3t). */
|
/* Overflow (original imaginary part of x > 3t). */
|
||||||
__real__ retval = DBL_MAX * sinix;
|
__real__ retval = M_MAX * sinix;
|
||||||
__imag__ retval = DBL_MAX * cosix;
|
__imag__ retval = M_MAX * cosix;
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
double exp_val = __ieee754_exp (ix);
|
FLOAT exp_val = M_EXP (ix);
|
||||||
__real__ retval = exp_val * sinix;
|
__real__ retval = exp_val * sinix;
|
||||||
__imag__ retval = exp_val * cosix;
|
__imag__ retval = exp_val * cosix;
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
__real__ retval = __ieee754_cosh (__imag__ x) * sinix;
|
__real__ retval = M_COSH (__imag__ x) * sinix;
|
||||||
__imag__ retval = __ieee754_sinh (__imag__ x) * cosix;
|
__imag__ retval = M_SINH (__imag__ x) * cosix;
|
||||||
}
|
}
|
||||||
|
|
||||||
math_check_force_underflow_complex (retval);
|
math_check_force_underflow_complex (retval);
|
||||||
@ -96,7 +96,7 @@ __csin (__complex__ double x)
|
|||||||
if (icls == FP_ZERO)
|
if (icls == FP_ZERO)
|
||||||
{
|
{
|
||||||
/* Imaginary part is 0.0. */
|
/* Imaginary part is 0.0. */
|
||||||
__real__ retval = __nan ("");
|
__real__ retval = M_NAN;
|
||||||
__imag__ retval = __imag__ x;
|
__imag__ retval = __imag__ x;
|
||||||
|
|
||||||
if (rcls == FP_INFINITE)
|
if (rcls == FP_INFINITE)
|
||||||
@ -104,8 +104,8 @@ __csin (__complex__ double x)
|
|||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
__real__ retval = __nan ("");
|
__real__ retval = M_NAN;
|
||||||
__imag__ retval = __nan ("");
|
__imag__ retval = M_NAN;
|
||||||
|
|
||||||
feraiseexcept (FE_INVALID);
|
feraiseexcept (FE_INVALID);
|
||||||
}
|
}
|
||||||
@ -117,26 +117,26 @@ __csin (__complex__ double x)
|
|||||||
if (rcls == FP_ZERO)
|
if (rcls == FP_ZERO)
|
||||||
{
|
{
|
||||||
/* Real part is 0.0. */
|
/* Real part is 0.0. */
|
||||||
__real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
|
__real__ retval = M_COPYSIGN (0, negate ? -1 : 1);
|
||||||
__imag__ retval = __imag__ x;
|
__imag__ retval = __imag__ x;
|
||||||
}
|
}
|
||||||
else if (rcls > FP_ZERO)
|
else if (rcls > FP_ZERO)
|
||||||
{
|
{
|
||||||
/* Real part is finite. */
|
/* Real part is finite. */
|
||||||
double sinix, cosix;
|
FLOAT sinix, cosix;
|
||||||
|
|
||||||
if (__glibc_likely (__real__ x > DBL_MIN))
|
if (__glibc_likely (__real__ x > M_MIN))
|
||||||
{
|
{
|
||||||
__sincos (__real__ x, &sinix, &cosix);
|
M_SINCOS (__real__ x, &sinix, &cosix);
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
sinix = __real__ x;
|
sinix = __real__ x;
|
||||||
cosix = 1.0;
|
cosix = 1;
|
||||||
}
|
}
|
||||||
|
|
||||||
__real__ retval = __copysign (HUGE_VAL, sinix);
|
__real__ retval = M_COPYSIGN (M_HUGE_VAL, sinix);
|
||||||
__imag__ retval = __copysign (HUGE_VAL, cosix);
|
__imag__ retval = M_COPYSIGN (M_HUGE_VAL, cosix);
|
||||||
|
|
||||||
if (negate)
|
if (negate)
|
||||||
__real__ retval = -__real__ retval;
|
__real__ retval = -__real__ retval;
|
||||||
@ -146,8 +146,8 @@ __csin (__complex__ double x)
|
|||||||
else
|
else
|
||||||
{
|
{
|
||||||
/* The addition raises the invalid exception. */
|
/* The addition raises the invalid exception. */
|
||||||
__real__ retval = __nan ("");
|
__real__ retval = M_NAN;
|
||||||
__imag__ retval = HUGE_VAL;
|
__imag__ retval = M_HUGE_VAL;
|
||||||
|
|
||||||
if (rcls == FP_INFINITE)
|
if (rcls == FP_INFINITE)
|
||||||
feraiseexcept (FE_INVALID);
|
feraiseexcept (FE_INVALID);
|
||||||
@ -156,16 +156,17 @@ __csin (__complex__ double x)
|
|||||||
else
|
else
|
||||||
{
|
{
|
||||||
if (rcls == FP_ZERO)
|
if (rcls == FP_ZERO)
|
||||||
__real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
|
__real__ retval = M_COPYSIGN (0, negate ? -1 : 1);
|
||||||
else
|
else
|
||||||
__real__ retval = __nan ("");
|
__real__ retval = M_NAN;
|
||||||
__imag__ retval = __nan ("");
|
__imag__ retval = M_NAN;
|
||||||
}
|
}
|
||||||
|
|
||||||
return retval;
|
return retval;
|
||||||
}
|
}
|
||||||
weak_alias (__csin, csin)
|
|
||||||
#ifdef NO_LONG_DOUBLE
|
declare_mgen_alias (__csin, csin)
|
||||||
strong_alias (__csin, __csinl)
|
|
||||||
weak_alias (__csin, csinl)
|
#if M_LIBM_NEED_COMPAT (csin)
|
||||||
|
declare_mgen_libm_compat (__csin, csin)
|
||||||
#endif
|
#endif
|
||||||
|
|||||||
169
math/s_csinf.c
169
math/s_csinf.c
@ -1,169 +0,0 @@
|
|||||||
/* Complex sine function for float.
|
|
||||||
Copyright (C) 1997-2016 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 <fenv.h>
|
|
||||||
#include <math.h>
|
|
||||||
#include <math_private.h>
|
|
||||||
#include <float.h>
|
|
||||||
|
|
||||||
__complex__ float
|
|
||||||
__csinf (__complex__ float x)
|
|
||||||
{
|
|
||||||
__complex__ float retval;
|
|
||||||
int negate = signbit (__real__ x);
|
|
||||||
int rcls = fpclassify (__real__ x);
|
|
||||||
int icls = fpclassify (__imag__ x);
|
|
||||||
|
|
||||||
__real__ x = fabsf (__real__ x);
|
|
||||||
|
|
||||||
if (__glibc_likely (icls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Imaginary part is finite. */
|
|
||||||
if (__glibc_likely (rcls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Real part is finite. */
|
|
||||||
const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2);
|
|
||||||
float sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (__real__ x > FLT_MIN))
|
|
||||||
{
|
|
||||||
__sincosf (__real__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __real__ x;
|
|
||||||
cosix = 1.0f;
|
|
||||||
}
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
sinix = -sinix;
|
|
||||||
|
|
||||||
if (fabsf (__imag__ x) > t)
|
|
||||||
{
|
|
||||||
float exp_t = __ieee754_expf (t);
|
|
||||||
float ix = fabsf (__imag__ x);
|
|
||||||
if (signbit (__imag__ x))
|
|
||||||
cosix = -cosix;
|
|
||||||
ix -= t;
|
|
||||||
sinix *= exp_t / 2.0f;
|
|
||||||
cosix *= exp_t / 2.0f;
|
|
||||||
if (ix > t)
|
|
||||||
{
|
|
||||||
ix -= t;
|
|
||||||
sinix *= exp_t;
|
|
||||||
cosix *= exp_t;
|
|
||||||
}
|
|
||||||
if (ix > t)
|
|
||||||
{
|
|
||||||
/* Overflow (original imaginary part of x > 3t). */
|
|
||||||
__real__ retval = FLT_MAX * sinix;
|
|
||||||
__imag__ retval = FLT_MAX * cosix;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
float exp_val = __ieee754_expf (ix);
|
|
||||||
__real__ retval = exp_val * sinix;
|
|
||||||
__imag__ retval = exp_val * cosix;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __ieee754_coshf (__imag__ x) * sinix;
|
|
||||||
__imag__ retval = __ieee754_sinhf (__imag__ x) * cosix;
|
|
||||||
}
|
|
||||||
|
|
||||||
math_check_force_underflow_complex (retval);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
if (icls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Imaginary part is 0.0. */
|
|
||||||
__real__ retval = __nanf ("");
|
|
||||||
__imag__ retval = __imag__ x;
|
|
||||||
|
|
||||||
if (rcls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __nanf ("");
|
|
||||||
__imag__ retval = __nanf ("");
|
|
||||||
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (icls == FP_INFINITE)
|
|
||||||
{
|
|
||||||
/* Imaginary part is infinite. */
|
|
||||||
if (rcls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Real part is 0.0. */
|
|
||||||
__real__ retval = __copysignf (0.0, negate ? -1.0 : 1.0);
|
|
||||||
__imag__ retval = __imag__ x;
|
|
||||||
}
|
|
||||||
else if (rcls > FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Real part is finite. */
|
|
||||||
float sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (__real__ x > FLT_MIN))
|
|
||||||
{
|
|
||||||
__sincosf (__real__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __real__ x;
|
|
||||||
cosix = 1.0f;
|
|
||||||
}
|
|
||||||
|
|
||||||
__real__ retval = __copysignf (HUGE_VALF, sinix);
|
|
||||||
__imag__ retval = __copysignf (HUGE_VALF, cosix);
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
__real__ retval = -__real__ retval;
|
|
||||||
if (signbit (__imag__ x))
|
|
||||||
__imag__ retval = -__imag__ retval;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
/* The addition raises the invalid exception. */
|
|
||||||
__real__ retval = __nanf ("");
|
|
||||||
__imag__ retval = HUGE_VALF;
|
|
||||||
|
|
||||||
if (rcls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
if (rcls == FP_ZERO)
|
|
||||||
__real__ retval = __copysignf (0.0, negate ? -1.0 : 1.0);
|
|
||||||
else
|
|
||||||
__real__ retval = __nanf ("");
|
|
||||||
__imag__ retval = __nanf ("");
|
|
||||||
}
|
|
||||||
|
|
||||||
return retval;
|
|
||||||
}
|
|
||||||
#ifndef __csinf
|
|
||||||
weak_alias (__csinf, csinf)
|
|
||||||
#endif
|
|
||||||
166
math/s_csinh.c
166
math/s_csinh.c
@ -1,166 +0,0 @@
|
|||||||
/* Complex sine hyperbole function for double.
|
|
||||||
Copyright (C) 1997-2016 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 <fenv.h>
|
|
||||||
#include <math.h>
|
|
||||||
#include <math_private.h>
|
|
||||||
#include <float.h>
|
|
||||||
|
|
||||||
__complex__ double
|
|
||||||
__csinh (__complex__ double x)
|
|
||||||
{
|
|
||||||
__complex__ double retval;
|
|
||||||
int negate = signbit (__real__ x);
|
|
||||||
int rcls = fpclassify (__real__ x);
|
|
||||||
int icls = fpclassify (__imag__ x);
|
|
||||||
|
|
||||||
__real__ x = fabs (__real__ x);
|
|
||||||
|
|
||||||
if (__glibc_likely (rcls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Real part is finite. */
|
|
||||||
if (__glibc_likely (icls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Imaginary part is finite. */
|
|
||||||
const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
|
|
||||||
double sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
|
|
||||||
{
|
|
||||||
__sincos (__imag__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __imag__ x;
|
|
||||||
cosix = 1.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
cosix = -cosix;
|
|
||||||
|
|
||||||
if (fabs (__real__ x) > t)
|
|
||||||
{
|
|
||||||
double exp_t = __ieee754_exp (t);
|
|
||||||
double rx = fabs (__real__ x);
|
|
||||||
if (signbit (__real__ x))
|
|
||||||
cosix = -cosix;
|
|
||||||
rx -= t;
|
|
||||||
sinix *= exp_t / 2.0;
|
|
||||||
cosix *= exp_t / 2.0;
|
|
||||||
if (rx > t)
|
|
||||||
{
|
|
||||||
rx -= t;
|
|
||||||
sinix *= exp_t;
|
|
||||||
cosix *= exp_t;
|
|
||||||
}
|
|
||||||
if (rx > t)
|
|
||||||
{
|
|
||||||
/* Overflow (original real part of x > 3t). */
|
|
||||||
__real__ retval = DBL_MAX * cosix;
|
|
||||||
__imag__ retval = DBL_MAX * sinix;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
double exp_val = __ieee754_exp (rx);
|
|
||||||
__real__ retval = exp_val * cosix;
|
|
||||||
__imag__ retval = exp_val * sinix;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __ieee754_sinh (__real__ x) * cosix;
|
|
||||||
__imag__ retval = __ieee754_cosh (__real__ x) * sinix;
|
|
||||||
}
|
|
||||||
|
|
||||||
math_check_force_underflow_complex (retval);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
if (rcls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Real part is 0.0. */
|
|
||||||
__real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
|
|
||||||
__imag__ retval = __nan ("") + __nan ("");
|
|
||||||
|
|
||||||
if (icls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __nan ("");
|
|
||||||
__imag__ retval = __nan ("");
|
|
||||||
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (rcls == FP_INFINITE)
|
|
||||||
{
|
|
||||||
/* Real part is infinite. */
|
|
||||||
if (__glibc_likely (icls > FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Imaginary part is finite. */
|
|
||||||
double sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
|
|
||||||
{
|
|
||||||
__sincos (__imag__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __imag__ x;
|
|
||||||
cosix = 1.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
__real__ retval = __copysign (HUGE_VAL, cosix);
|
|
||||||
__imag__ retval = __copysign (HUGE_VAL, sinix);
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
__real__ retval = -__real__ retval;
|
|
||||||
}
|
|
||||||
else if (icls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Imaginary part is 0.0. */
|
|
||||||
__real__ retval = negate ? -HUGE_VAL : HUGE_VAL;
|
|
||||||
__imag__ retval = __imag__ x;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
/* The addition raises the invalid exception. */
|
|
||||||
__real__ retval = HUGE_VAL;
|
|
||||||
__imag__ retval = __nan ("") + __nan ("");
|
|
||||||
|
|
||||||
if (icls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __nan ("");
|
|
||||||
__imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nan ("");
|
|
||||||
}
|
|
||||||
|
|
||||||
return retval;
|
|
||||||
}
|
|
||||||
weak_alias (__csinh, csinh)
|
|
||||||
#ifdef NO_LONG_DOUBLE
|
|
||||||
strong_alias (__csinh, __csinhl)
|
|
||||||
weak_alias (__csinh, csinhl)
|
|
||||||
#endif
|
|
||||||
@ -1,4 +1,4 @@
|
|||||||
/* Complex sine hyperbole function for double.
|
/* Complex sine hyperbole function for float types.
|
||||||
Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
||||||
This file is part of the GNU C Library.
|
This file is part of the GNU C Library.
|
||||||
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
||||||
@ -23,15 +23,15 @@
|
|||||||
#include <math_private.h>
|
#include <math_private.h>
|
||||||
#include <float.h>
|
#include <float.h>
|
||||||
|
|
||||||
__complex__ double
|
CFLOAT
|
||||||
__csinh (__complex__ double x)
|
M_DECL_FUNC (__csinh) (CFLOAT x)
|
||||||
{
|
{
|
||||||
__complex__ double retval;
|
CFLOAT retval;
|
||||||
int negate = signbit (__real__ x);
|
int negate = signbit (__real__ x);
|
||||||
int rcls = fpclassify (__real__ x);
|
int rcls = fpclassify (__real__ x);
|
||||||
int icls = fpclassify (__imag__ x);
|
int icls = fpclassify (__imag__ x);
|
||||||
|
|
||||||
__real__ x = fabs (__real__ x);
|
__real__ x = M_FABS (__real__ x);
|
||||||
|
|
||||||
if (__glibc_likely (rcls >= FP_ZERO))
|
if (__glibc_likely (rcls >= FP_ZERO))
|
||||||
{
|
{
|
||||||
@ -39,31 +39,31 @@ __csinh (__complex__ double x)
|
|||||||
if (__glibc_likely (icls >= FP_ZERO))
|
if (__glibc_likely (icls >= FP_ZERO))
|
||||||
{
|
{
|
||||||
/* Imaginary part is finite. */
|
/* Imaginary part is finite. */
|
||||||
const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
|
const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2));
|
||||||
double sinix, cosix;
|
FLOAT sinix, cosix;
|
||||||
|
|
||||||
if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
|
if (__glibc_likely (M_FABS (__imag__ x) > M_MIN))
|
||||||
{
|
{
|
||||||
__sincos (__imag__ x, &sinix, &cosix);
|
M_SINCOS (__imag__ x, &sinix, &cosix);
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
sinix = __imag__ x;
|
sinix = __imag__ x;
|
||||||
cosix = 1.0;
|
cosix = 1;
|
||||||
}
|
}
|
||||||
|
|
||||||
if (negate)
|
if (negate)
|
||||||
cosix = -cosix;
|
cosix = -cosix;
|
||||||
|
|
||||||
if (fabs (__real__ x) > t)
|
if (M_FABS (__real__ x) > t)
|
||||||
{
|
{
|
||||||
double exp_t = __ieee754_exp (t);
|
FLOAT exp_t = M_EXP (t);
|
||||||
double rx = fabs (__real__ x);
|
FLOAT rx = M_FABS (__real__ x);
|
||||||
if (signbit (__real__ x))
|
if (signbit (__real__ x))
|
||||||
cosix = -cosix;
|
cosix = -cosix;
|
||||||
rx -= t;
|
rx -= t;
|
||||||
sinix *= exp_t / 2.0;
|
sinix *= exp_t / 2;
|
||||||
cosix *= exp_t / 2.0;
|
cosix *= exp_t / 2;
|
||||||
if (rx > t)
|
if (rx > t)
|
||||||
{
|
{
|
||||||
rx -= t;
|
rx -= t;
|
||||||
@ -73,20 +73,20 @@ __csinh (__complex__ double x)
|
|||||||
if (rx > t)
|
if (rx > t)
|
||||||
{
|
{
|
||||||
/* Overflow (original real part of x > 3t). */
|
/* Overflow (original real part of x > 3t). */
|
||||||
__real__ retval = DBL_MAX * cosix;
|
__real__ retval = M_MAX * cosix;
|
||||||
__imag__ retval = DBL_MAX * sinix;
|
__imag__ retval = M_MAX * sinix;
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
double exp_val = __ieee754_exp (rx);
|
FLOAT exp_val = M_EXP (rx);
|
||||||
__real__ retval = exp_val * cosix;
|
__real__ retval = exp_val * cosix;
|
||||||
__imag__ retval = exp_val * sinix;
|
__imag__ retval = exp_val * sinix;
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
__real__ retval = __ieee754_sinh (__real__ x) * cosix;
|
__real__ retval = M_SINH (__real__ x) * cosix;
|
||||||
__imag__ retval = __ieee754_cosh (__real__ x) * sinix;
|
__imag__ retval = M_COSH (__real__ x) * sinix;
|
||||||
}
|
}
|
||||||
|
|
||||||
math_check_force_underflow_complex (retval);
|
math_check_force_underflow_complex (retval);
|
||||||
@ -96,16 +96,16 @@ __csinh (__complex__ double x)
|
|||||||
if (rcls == FP_ZERO)
|
if (rcls == FP_ZERO)
|
||||||
{
|
{
|
||||||
/* Real part is 0.0. */
|
/* Real part is 0.0. */
|
||||||
__real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
|
__real__ retval = M_COPYSIGN (0, negate ? -1 : 1);
|
||||||
__imag__ retval = __nan ("") + __nan ("");
|
__imag__ retval = M_NAN + M_NAN;
|
||||||
|
|
||||||
if (icls == FP_INFINITE)
|
if (icls == FP_INFINITE)
|
||||||
feraiseexcept (FE_INVALID);
|
feraiseexcept (FE_INVALID);
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
__real__ retval = __nan ("");
|
__real__ retval = M_NAN;
|
||||||
__imag__ retval = __nan ("");
|
__imag__ retval = M_NAN;
|
||||||
|
|
||||||
feraiseexcept (FE_INVALID);
|
feraiseexcept (FE_INVALID);
|
||||||
}
|
}
|
||||||
@ -117,20 +117,20 @@ __csinh (__complex__ double x)
|
|||||||
if (__glibc_likely (icls > FP_ZERO))
|
if (__glibc_likely (icls > FP_ZERO))
|
||||||
{
|
{
|
||||||
/* Imaginary part is finite. */
|
/* Imaginary part is finite. */
|
||||||
double sinix, cosix;
|
FLOAT sinix, cosix;
|
||||||
|
|
||||||
if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
|
if (__glibc_likely (M_FABS (__imag__ x) > M_MIN))
|
||||||
{
|
{
|
||||||
__sincos (__imag__ x, &sinix, &cosix);
|
M_SINCOS (__imag__ x, &sinix, &cosix);
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
sinix = __imag__ x;
|
sinix = __imag__ x;
|
||||||
cosix = 1.0;
|
cosix = 1;
|
||||||
}
|
}
|
||||||
|
|
||||||
__real__ retval = __copysign (HUGE_VAL, cosix);
|
__real__ retval = M_COPYSIGN (M_HUGE_VAL, cosix);
|
||||||
__imag__ retval = __copysign (HUGE_VAL, sinix);
|
__imag__ retval = M_COPYSIGN (M_HUGE_VAL, sinix);
|
||||||
|
|
||||||
if (negate)
|
if (negate)
|
||||||
__real__ retval = -__real__ retval;
|
__real__ retval = -__real__ retval;
|
||||||
@ -138,14 +138,14 @@ __csinh (__complex__ double x)
|
|||||||
else if (icls == FP_ZERO)
|
else if (icls == FP_ZERO)
|
||||||
{
|
{
|
||||||
/* Imaginary part is 0.0. */
|
/* Imaginary part is 0.0. */
|
||||||
__real__ retval = negate ? -HUGE_VAL : HUGE_VAL;
|
__real__ retval = negate ? -M_HUGE_VAL : M_HUGE_VAL;
|
||||||
__imag__ retval = __imag__ x;
|
__imag__ retval = __imag__ x;
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
/* The addition raises the invalid exception. */
|
/* The addition raises the invalid exception. */
|
||||||
__real__ retval = HUGE_VAL;
|
__real__ retval = M_HUGE_VAL;
|
||||||
__imag__ retval = __nan ("") + __nan ("");
|
__imag__ retval = M_NAN + M_NAN;
|
||||||
|
|
||||||
if (icls == FP_INFINITE)
|
if (icls == FP_INFINITE)
|
||||||
feraiseexcept (FE_INVALID);
|
feraiseexcept (FE_INVALID);
|
||||||
@ -153,14 +153,15 @@ __csinh (__complex__ double x)
|
|||||||
}
|
}
|
||||||
else
|
else
|
||||||
{
|
{
|
||||||
__real__ retval = __nan ("");
|
__real__ retval = M_NAN;
|
||||||
__imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nan ("");
|
__imag__ retval = __imag__ x == 0 ? __imag__ x : M_NAN;
|
||||||
}
|
}
|
||||||
|
|
||||||
return retval;
|
return retval;
|
||||||
}
|
}
|
||||||
weak_alias (__csinh, csinh)
|
|
||||||
#ifdef NO_LONG_DOUBLE
|
declare_mgen_alias (__csinh, csinh)
|
||||||
strong_alias (__csinh, __csinhl)
|
|
||||||
weak_alias (__csinh, csinhl)
|
#if M_LIBM_NEED_COMPAT (csinh)
|
||||||
|
declare_mgen_libm_compat (__csinh, csinh)
|
||||||
#endif
|
#endif
|
||||||
|
|||||||
164
math/s_csinhf.c
164
math/s_csinhf.c
@ -1,164 +0,0 @@
|
|||||||
/* Complex sine hyperbole function for float.
|
|
||||||
Copyright (C) 1997-2016 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 <fenv.h>
|
|
||||||
#include <math.h>
|
|
||||||
#include <math_private.h>
|
|
||||||
#include <float.h>
|
|
||||||
|
|
||||||
__complex__ float
|
|
||||||
__csinhf (__complex__ float x)
|
|
||||||
{
|
|
||||||
__complex__ float retval;
|
|
||||||
int negate = signbit (__real__ x);
|
|
||||||
int rcls = fpclassify (__real__ x);
|
|
||||||
int icls = fpclassify (__imag__ x);
|
|
||||||
|
|
||||||
__real__ x = fabsf (__real__ x);
|
|
||||||
|
|
||||||
if (__glibc_likely (rcls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Real part is finite. */
|
|
||||||
if (__glibc_likely (icls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Imaginary part is finite. */
|
|
||||||
const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2);
|
|
||||||
float sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
|
|
||||||
{
|
|
||||||
__sincosf (__imag__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __imag__ x;
|
|
||||||
cosix = 1.0f;
|
|
||||||
}
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
cosix = -cosix;
|
|
||||||
|
|
||||||
if (fabsf (__real__ x) > t)
|
|
||||||
{
|
|
||||||
float exp_t = __ieee754_expf (t);
|
|
||||||
float rx = fabsf (__real__ x);
|
|
||||||
if (signbit (__real__ x))
|
|
||||||
cosix = -cosix;
|
|
||||||
rx -= t;
|
|
||||||
sinix *= exp_t / 2.0f;
|
|
||||||
cosix *= exp_t / 2.0f;
|
|
||||||
if (rx > t)
|
|
||||||
{
|
|
||||||
rx -= t;
|
|
||||||
sinix *= exp_t;
|
|
||||||
cosix *= exp_t;
|
|
||||||
}
|
|
||||||
if (rx > t)
|
|
||||||
{
|
|
||||||
/* Overflow (original real part of x > 3t). */
|
|
||||||
__real__ retval = FLT_MAX * cosix;
|
|
||||||
__imag__ retval = FLT_MAX * sinix;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
float exp_val = __ieee754_expf (rx);
|
|
||||||
__real__ retval = exp_val * cosix;
|
|
||||||
__imag__ retval = exp_val * sinix;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __ieee754_sinhf (__real__ x) * cosix;
|
|
||||||
__imag__ retval = __ieee754_coshf (__real__ x) * sinix;
|
|
||||||
}
|
|
||||||
|
|
||||||
math_check_force_underflow_complex (retval);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
if (rcls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Real part is 0.0. */
|
|
||||||
__real__ retval = __copysignf (0.0, negate ? -1.0 : 1.0);
|
|
||||||
__imag__ retval = __nanf ("") + __nanf ("");
|
|
||||||
|
|
||||||
if (icls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __nanf ("");
|
|
||||||
__imag__ retval = __nanf ("");
|
|
||||||
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (rcls == FP_INFINITE)
|
|
||||||
{
|
|
||||||
/* Real part is infinite. */
|
|
||||||
if (__glibc_likely (icls > FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Imaginary part is finite. */
|
|
||||||
float sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
|
|
||||||
{
|
|
||||||
__sincosf (__imag__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __imag__ x;
|
|
||||||
cosix = 1.0f;
|
|
||||||
}
|
|
||||||
|
|
||||||
__real__ retval = __copysignf (HUGE_VALF, cosix);
|
|
||||||
__imag__ retval = __copysignf (HUGE_VALF, sinix);
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
__real__ retval = -__real__ retval;
|
|
||||||
}
|
|
||||||
else if (icls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Imaginary part is 0.0. */
|
|
||||||
__real__ retval = negate ? -HUGE_VALF : HUGE_VALF;
|
|
||||||
__imag__ retval = __imag__ x;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
/* The addition raises the invalid exception. */
|
|
||||||
__real__ retval = HUGE_VALF;
|
|
||||||
__imag__ retval = __nanf ("") + __nanf ("");
|
|
||||||
|
|
||||||
if (icls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __nanf ("");
|
|
||||||
__imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nanf ("");
|
|
||||||
}
|
|
||||||
|
|
||||||
return retval;
|
|
||||||
}
|
|
||||||
#ifndef __csinhf
|
|
||||||
weak_alias (__csinhf, csinhf)
|
|
||||||
#endif
|
|
||||||
162
math/s_csinhl.c
162
math/s_csinhl.c
@ -1,162 +0,0 @@
|
|||||||
/* Complex sine hyperbole function for long double.
|
|
||||||
Copyright (C) 1997-2016 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 <fenv.h>
|
|
||||||
#include <math.h>
|
|
||||||
#include <math_private.h>
|
|
||||||
#include <float.h>
|
|
||||||
|
|
||||||
__complex__ long double
|
|
||||||
__csinhl (__complex__ long double x)
|
|
||||||
{
|
|
||||||
__complex__ long double retval;
|
|
||||||
int negate = signbit (__real__ x);
|
|
||||||
int rcls = fpclassify (__real__ x);
|
|
||||||
int icls = fpclassify (__imag__ x);
|
|
||||||
|
|
||||||
__real__ x = fabsl (__real__ x);
|
|
||||||
|
|
||||||
if (__glibc_likely (rcls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Real part is finite. */
|
|
||||||
if (__glibc_likely (icls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Imaginary part is finite. */
|
|
||||||
const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
|
|
||||||
long double sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN))
|
|
||||||
{
|
|
||||||
__sincosl (__imag__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __imag__ x;
|
|
||||||
cosix = 1.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
cosix = -cosix;
|
|
||||||
|
|
||||||
if (fabsl (__real__ x) > t)
|
|
||||||
{
|
|
||||||
long double exp_t = __ieee754_expl (t);
|
|
||||||
long double rx = fabsl (__real__ x);
|
|
||||||
if (signbit (__real__ x))
|
|
||||||
cosix = -cosix;
|
|
||||||
rx -= t;
|
|
||||||
sinix *= exp_t / 2.0L;
|
|
||||||
cosix *= exp_t / 2.0L;
|
|
||||||
if (rx > t)
|
|
||||||
{
|
|
||||||
rx -= t;
|
|
||||||
sinix *= exp_t;
|
|
||||||
cosix *= exp_t;
|
|
||||||
}
|
|
||||||
if (rx > t)
|
|
||||||
{
|
|
||||||
/* Overflow (original real part of x > 3t). */
|
|
||||||
__real__ retval = LDBL_MAX * cosix;
|
|
||||||
__imag__ retval = LDBL_MAX * sinix;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
long double exp_val = __ieee754_expl (rx);
|
|
||||||
__real__ retval = exp_val * cosix;
|
|
||||||
__imag__ retval = exp_val * sinix;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __ieee754_sinhl (__real__ x) * cosix;
|
|
||||||
__imag__ retval = __ieee754_coshl (__real__ x) * sinix;
|
|
||||||
}
|
|
||||||
|
|
||||||
math_check_force_underflow_complex (retval);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
if (rcls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Real part is 0.0. */
|
|
||||||
__real__ retval = __copysignl (0.0, negate ? -1.0 : 1.0);
|
|
||||||
__imag__ retval = __nanl ("") + __nanl ("");
|
|
||||||
|
|
||||||
if (icls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __nanl ("");
|
|
||||||
__imag__ retval = __nanl ("");
|
|
||||||
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (rcls == FP_INFINITE)
|
|
||||||
{
|
|
||||||
/* Real part is infinite. */
|
|
||||||
if (__glibc_likely (icls > FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Imaginary part is finite. */
|
|
||||||
long double sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (fabsl (__imag__ x) > LDBL_MIN))
|
|
||||||
{
|
|
||||||
__sincosl (__imag__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __imag__ x;
|
|
||||||
cosix = 1.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
__real__ retval = __copysignl (HUGE_VALL, cosix);
|
|
||||||
__imag__ retval = __copysignl (HUGE_VALL, sinix);
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
__real__ retval = -__real__ retval;
|
|
||||||
}
|
|
||||||
else if (icls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Imaginary part is 0.0. */
|
|
||||||
__real__ retval = negate ? -HUGE_VALL : HUGE_VALL;
|
|
||||||
__imag__ retval = __imag__ x;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
/* The addition raises the invalid exception. */
|
|
||||||
__real__ retval = HUGE_VALL;
|
|
||||||
__imag__ retval = __nanl ("") + __nanl ("");
|
|
||||||
|
|
||||||
if (icls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __nanl ("");
|
|
||||||
__imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nanl ("");
|
|
||||||
}
|
|
||||||
|
|
||||||
return retval;
|
|
||||||
}
|
|
||||||
weak_alias (__csinhl, csinhl)
|
|
||||||
167
math/s_csinl.c
167
math/s_csinl.c
@ -1,167 +0,0 @@
|
|||||||
/* Complex sine function for long double.
|
|
||||||
Copyright (C) 1997-2016 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 <fenv.h>
|
|
||||||
#include <math.h>
|
|
||||||
#include <math_private.h>
|
|
||||||
#include <float.h>
|
|
||||||
|
|
||||||
__complex__ long double
|
|
||||||
__csinl (__complex__ long double x)
|
|
||||||
{
|
|
||||||
__complex__ long double retval;
|
|
||||||
int negate = signbit (__real__ x);
|
|
||||||
int rcls = fpclassify (__real__ x);
|
|
||||||
int icls = fpclassify (__imag__ x);
|
|
||||||
|
|
||||||
__real__ x = fabsl (__real__ x);
|
|
||||||
|
|
||||||
if (__glibc_likely (icls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Imaginary part is finite. */
|
|
||||||
if (__glibc_likely (rcls >= FP_ZERO))
|
|
||||||
{
|
|
||||||
/* Real part is finite. */
|
|
||||||
const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
|
|
||||||
long double sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (__real__ x > LDBL_MIN))
|
|
||||||
{
|
|
||||||
__sincosl (__real__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __real__ x;
|
|
||||||
cosix = 1.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
sinix = -sinix;
|
|
||||||
|
|
||||||
if (fabsl (__imag__ x) > t)
|
|
||||||
{
|
|
||||||
long double exp_t = __ieee754_expl (t);
|
|
||||||
long double ix = fabsl (__imag__ x);
|
|
||||||
if (signbit (__imag__ x))
|
|
||||||
cosix = -cosix;
|
|
||||||
ix -= t;
|
|
||||||
sinix *= exp_t / 2.0L;
|
|
||||||
cosix *= exp_t / 2.0L;
|
|
||||||
if (ix > t)
|
|
||||||
{
|
|
||||||
ix -= t;
|
|
||||||
sinix *= exp_t;
|
|
||||||
cosix *= exp_t;
|
|
||||||
}
|
|
||||||
if (ix > t)
|
|
||||||
{
|
|
||||||
/* Overflow (original imaginary part of x > 3t). */
|
|
||||||
__real__ retval = LDBL_MAX * sinix;
|
|
||||||
__imag__ retval = LDBL_MAX * cosix;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
long double exp_val = __ieee754_expl (ix);
|
|
||||||
__real__ retval = exp_val * sinix;
|
|
||||||
__imag__ retval = exp_val * cosix;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __ieee754_coshl (__imag__ x) * sinix;
|
|
||||||
__imag__ retval = __ieee754_sinhl (__imag__ x) * cosix;
|
|
||||||
}
|
|
||||||
|
|
||||||
math_check_force_underflow_complex (retval);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
if (icls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Imaginary part is 0.0. */
|
|
||||||
__real__ retval = __nanl ("");
|
|
||||||
__imag__ retval = __imag__ x;
|
|
||||||
|
|
||||||
if (rcls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
__real__ retval = __nanl ("");
|
|
||||||
__imag__ retval = __nanl ("");
|
|
||||||
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else if (icls == FP_INFINITE)
|
|
||||||
{
|
|
||||||
/* Imaginary part is infinite. */
|
|
||||||
if (rcls == FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Real part is 0.0. */
|
|
||||||
__real__ retval = __copysignl (0.0, negate ? -1.0 : 1.0);
|
|
||||||
__imag__ retval = __imag__ x;
|
|
||||||
}
|
|
||||||
else if (rcls > FP_ZERO)
|
|
||||||
{
|
|
||||||
/* Real part is finite. */
|
|
||||||
long double sinix, cosix;
|
|
||||||
|
|
||||||
if (__glibc_likely (__real__ x > LDBL_MIN))
|
|
||||||
{
|
|
||||||
__sincosl (__real__ x, &sinix, &cosix);
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
sinix = __real__ x;
|
|
||||||
cosix = 1.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
__real__ retval = __copysignl (HUGE_VALL, sinix);
|
|
||||||
__imag__ retval = __copysignl (HUGE_VALL, cosix);
|
|
||||||
|
|
||||||
if (negate)
|
|
||||||
__real__ retval = -__real__ retval;
|
|
||||||
if (signbit (__imag__ x))
|
|
||||||
__imag__ retval = -__imag__ retval;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
/* The addition raises the invalid exception. */
|
|
||||||
__real__ retval = __nanl ("");
|
|
||||||
__imag__ retval = HUGE_VALL;
|
|
||||||
|
|
||||||
if (rcls == FP_INFINITE)
|
|
||||||
feraiseexcept (FE_INVALID);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
if (rcls == FP_ZERO)
|
|
||||||
__real__ retval = __copysignl (0.0, negate ? -1.0 : 1.0);
|
|
||||||
else
|
|
||||||
__real__ retval = __nanl ("");
|
|
||||||
__imag__ retval = __nanl ("");
|
|
||||||
}
|
|
||||||
|
|
||||||
return retval;
|
|
||||||
}
|
|
||||||
weak_alias (__csinl, csinl)
|
|
||||||
@ -24,14 +24,18 @@
|
|||||||
|
|
||||||
#undef __casinf
|
#undef __casinf
|
||||||
#undef casinf
|
#undef casinf
|
||||||
#define __casinf internal_casinf
|
|
||||||
|
|
||||||
static _Complex float internal_casinf (_Complex float x);
|
static _Complex float internal_casinf (_Complex float x);
|
||||||
|
|
||||||
#include <math/s_casinf.c>
|
#define M_DECL_FUNC(f) internal_casinf
|
||||||
#include "cfloat-compat.h"
|
#include <math-type-macros-float.h>
|
||||||
|
|
||||||
#undef __casinf
|
/* Disable any aliasing from base template. */
|
||||||
|
#undef declare_mgen_alias
|
||||||
|
#define declare_mgen_alias(__to, __from)
|
||||||
|
|
||||||
|
#include <math/s_casin_template.c>
|
||||||
|
#include "cfloat-compat.h"
|
||||||
|
|
||||||
c1_cfloat_rettype
|
c1_cfloat_rettype
|
||||||
__c1_casinf (c1_cfloat_decl (x))
|
__c1_casinf (c1_cfloat_decl (x))
|
||||||
|
|||||||
@ -24,14 +24,18 @@
|
|||||||
|
|
||||||
#undef __casinhf
|
#undef __casinhf
|
||||||
#undef casinhf
|
#undef casinhf
|
||||||
#define __casinhf internal_casinhf
|
|
||||||
|
|
||||||
static _Complex float internal_casinhf (_Complex float x);
|
static _Complex float internal_casinhf (_Complex float x);
|
||||||
|
|
||||||
#include <math/s_casinhf.c>
|
#define M_DECL_FUNC(f) internal_casinhf
|
||||||
#include "cfloat-compat.h"
|
#include <math-type-macros-float.h>
|
||||||
|
|
||||||
#undef __casinhf
|
/* Disable any aliasing from base template. */
|
||||||
|
#undef declare_mgen_alias
|
||||||
|
#define declare_mgen_alias(__to, __from)
|
||||||
|
|
||||||
|
#include <math/s_casinh_template.c>
|
||||||
|
#include "cfloat-compat.h"
|
||||||
|
|
||||||
c1_cfloat_rettype
|
c1_cfloat_rettype
|
||||||
__c1_casinhf (c1_cfloat_decl (x))
|
__c1_casinhf (c1_cfloat_decl (x))
|
||||||
|
|||||||
@ -24,14 +24,18 @@
|
|||||||
|
|
||||||
#undef __csinf
|
#undef __csinf
|
||||||
#undef csinf
|
#undef csinf
|
||||||
#define __csinf internal_csinf
|
|
||||||
|
|
||||||
static _Complex float internal_csinf (_Complex float x);
|
static _Complex float internal_csinf (_Complex float x);
|
||||||
|
|
||||||
#include <math/s_csinf.c>
|
#define M_DECL_FUNC(f) internal_csinf
|
||||||
#include "cfloat-compat.h"
|
#include <math-type-macros-float.h>
|
||||||
|
|
||||||
#undef __csinf
|
/* Disable any aliasing from base template. */
|
||||||
|
#undef declare_mgen_alias
|
||||||
|
#define declare_mgen_alias(__to, __from)
|
||||||
|
|
||||||
|
#include <math/s_csin_template.c>
|
||||||
|
#include "cfloat-compat.h"
|
||||||
|
|
||||||
c1_cfloat_rettype
|
c1_cfloat_rettype
|
||||||
__c1_csinf (c1_cfloat_decl (x))
|
__c1_csinf (c1_cfloat_decl (x))
|
||||||
|
|||||||
@ -24,14 +24,18 @@
|
|||||||
|
|
||||||
#undef __csinhf
|
#undef __csinhf
|
||||||
#undef csinhf
|
#undef csinhf
|
||||||
#define __csinhf internal_csinhf
|
|
||||||
|
|
||||||
static _Complex float internal_csinhf (_Complex float x);
|
static _Complex float internal_csinhf (_Complex float x);
|
||||||
|
|
||||||
#include <math/s_csinhf.c>
|
#define M_DECL_FUNC(f) internal_csinhf
|
||||||
#include "cfloat-compat.h"
|
#include <math-type-macros-float.h>
|
||||||
|
|
||||||
#undef __csinhf
|
/* Disable any aliasing from base template. */
|
||||||
|
#undef declare_mgen_alias
|
||||||
|
#define declare_mgen_alias(__to, __from)
|
||||||
|
|
||||||
|
#include <math/s_csinh_template.c>
|
||||||
|
#include "cfloat-compat.h"
|
||||||
|
|
||||||
c1_cfloat_rettype
|
c1_cfloat_rettype
|
||||||
__c1_csinhf (c1_cfloat_decl (x))
|
__c1_csinhf (c1_cfloat_decl (x))
|
||||||
|
|||||||
@ -1,6 +0,0 @@
|
|||||||
#include <complex.h>
|
|
||||||
#include <math_ldbl_opt.h>
|
|
||||||
#include <math/s_casin.c>
|
|
||||||
#if LONG_DOUBLE_COMPAT(libm, GLIBC_2_1)
|
|
||||||
compat_symbol (libm, __casin, casinl, GLIBC_2_1);
|
|
||||||
#endif
|
|
||||||
@ -1,6 +0,0 @@
|
|||||||
#include <complex.h>
|
|
||||||
#include <math_ldbl_opt.h>
|
|
||||||
#include <math/s_casinh.c>
|
|
||||||
#if LONG_DOUBLE_COMPAT(libm, GLIBC_2_1)
|
|
||||||
compat_symbol (libm, __casinh, casinhl, GLIBC_2_1);
|
|
||||||
#endif
|
|
||||||
@ -1,6 +0,0 @@
|
|||||||
#include <complex.h>
|
|
||||||
#include <math_ldbl_opt.h>
|
|
||||||
#undef weak_alias
|
|
||||||
#define weak_alias(n,a)
|
|
||||||
#include <math/s_casinhl.c>
|
|
||||||
long_double_symbol (libm, __casinhl, casinhl);
|
|
||||||
@ -1,6 +0,0 @@
|
|||||||
#include <complex.h>
|
|
||||||
#include <math_ldbl_opt.h>
|
|
||||||
#undef weak_alias
|
|
||||||
#define weak_alias(n,a)
|
|
||||||
#include <math/s_casinl.c>
|
|
||||||
long_double_symbol (libm, __casinl, casinl);
|
|
||||||
@ -1,6 +0,0 @@
|
|||||||
#include <complex.h>
|
|
||||||
#include <math_ldbl_opt.h>
|
|
||||||
#include <math/s_csin.c>
|
|
||||||
#if LONG_DOUBLE_COMPAT(libm, GLIBC_2_1)
|
|
||||||
compat_symbol (libm, __csin, csinl, GLIBC_2_1);
|
|
||||||
#endif
|
|
||||||
@ -1,6 +0,0 @@
|
|||||||
#include <complex.h>
|
|
||||||
#include <math_ldbl_opt.h>
|
|
||||||
#include <math/s_csinh.c>
|
|
||||||
#if LONG_DOUBLE_COMPAT(libm, GLIBC_2_1)
|
|
||||||
compat_symbol (libm, __csinh, csinhl, GLIBC_2_1);
|
|
||||||
#endif
|
|
||||||
@ -1,6 +0,0 @@
|
|||||||
#include <complex.h>
|
|
||||||
#include <math_ldbl_opt.h>
|
|
||||||
#undef weak_alias
|
|
||||||
#define weak_alias(n,a)
|
|
||||||
#include <math/s_csinhl.c>
|
|
||||||
long_double_symbol (libm, __csinhl, csinhl);
|
|
||||||
@ -1,6 +0,0 @@
|
|||||||
#include <complex.h>
|
|
||||||
#include <math_ldbl_opt.h>
|
|
||||||
#undef weak_alias
|
|
||||||
#define weak_alias(n,a)
|
|
||||||
#include <math/s_csinl.c>
|
|
||||||
long_double_symbol (libm, __csinl, csinl);
|
|
||||||
@ -21,27 +21,19 @@
|
|||||||
#include <math.h>
|
#include <math.h>
|
||||||
#include "mathimpl.h"
|
#include "mathimpl.h"
|
||||||
|
|
||||||
#ifndef SUFF
|
#define s(name) M_SUF (name)
|
||||||
#define SUFF
|
|
||||||
#endif
|
|
||||||
#ifndef float_type
|
|
||||||
#define float_type double
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#define CONCATX(a,b) __CONCAT(a,b)
|
|
||||||
#define s(name) CONCATX(name,SUFF)
|
|
||||||
#define m81(func) __m81_u(s(func))
|
#define m81(func) __m81_u(s(func))
|
||||||
|
|
||||||
__complex__ float_type
|
CFLOAT
|
||||||
s(__csin) (__complex__ float_type x)
|
s(__csin) (CFLOAT x)
|
||||||
{
|
{
|
||||||
__complex__ float_type retval;
|
CFLOAT retval;
|
||||||
unsigned long rx_cond = __m81_test (__real__ x);
|
unsigned long rx_cond = __m81_test (__real__ x);
|
||||||
|
|
||||||
if ((rx_cond & (__M81_COND_INF|__M81_COND_NAN)) == 0)
|
if ((rx_cond & (__M81_COND_INF|__M81_COND_NAN)) == 0)
|
||||||
{
|
{
|
||||||
/* Real part is finite. */
|
/* Real part is finite. */
|
||||||
float_type sin_rx, cos_rx;
|
FLOAT sin_rx, cos_rx;
|
||||||
|
|
||||||
__asm ("fsincos%.x %2,%1:%0" : "=f" (sin_rx), "=f" (cos_rx)
|
__asm ("fsincos%.x %2,%1:%0" : "=f" (sin_rx), "=f" (cos_rx)
|
||||||
: "f" (__real__ x));
|
: "f" (__real__ x));
|
||||||
@ -1,3 +0,0 @@
|
|||||||
#define SUFF f
|
|
||||||
#define float_type float
|
|
||||||
#include <s_csin.c>
|
|
||||||
@ -21,21 +21,14 @@
|
|||||||
#include <math.h>
|
#include <math.h>
|
||||||
#include "mathimpl.h"
|
#include "mathimpl.h"
|
||||||
|
|
||||||
#ifndef SUFF
|
|
||||||
#define SUFF
|
|
||||||
#endif
|
|
||||||
#ifndef float_type
|
|
||||||
#define float_type double
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#define CONCATX(a,b) __CONCAT(a,b)
|
#define CONCATX(a,b) __CONCAT(a,b)
|
||||||
#define s(name) CONCATX(name,SUFF)
|
#define s(name) M_SUF (name)
|
||||||
#define m81(func) __m81_u(s(func))
|
#define m81(func) __m81_u(s(func))
|
||||||
|
|
||||||
__complex__ float_type
|
CFLOAT
|
||||||
s(__csinh) (__complex__ float_type x)
|
s(__csinh) (CFLOAT x)
|
||||||
{
|
{
|
||||||
__complex__ float_type retval;
|
CFLOAT retval;
|
||||||
unsigned long ix_cond;
|
unsigned long ix_cond;
|
||||||
|
|
||||||
ix_cond = __m81_test (__imag__ x);
|
ix_cond = __m81_test (__imag__ x);
|
||||||
@ -43,7 +36,7 @@ s(__csinh) (__complex__ float_type x)
|
|||||||
if ((ix_cond & (__M81_COND_INF|__M81_COND_NAN)) == 0)
|
if ((ix_cond & (__M81_COND_INF|__M81_COND_NAN)) == 0)
|
||||||
{
|
{
|
||||||
/* Imaginary part is finite. */
|
/* Imaginary part is finite. */
|
||||||
float_type sin_ix, cos_ix;
|
FLOAT sin_ix, cos_ix;
|
||||||
|
|
||||||
__asm ("fsincos%.x %2,%1:%0" : "=f" (sin_ix), "=f" (cos_ix)
|
__asm ("fsincos%.x %2,%1:%0" : "=f" (sin_ix), "=f" (cos_ix)
|
||||||
: "f" (__imag__ x));
|
: "f" (__imag__ x));
|
||||||
@ -1,3 +0,0 @@
|
|||||||
#define SUFF f
|
|
||||||
#define float_type float
|
|
||||||
#include <s_csinh.c>
|
|
||||||
@ -1,3 +0,0 @@
|
|||||||
#define SUFF l
|
|
||||||
#define float_type long double
|
|
||||||
#include <s_csinh.c>
|
|
||||||
@ -1,3 +0,0 @@
|
|||||||
#define SUFF l
|
|
||||||
#define float_type long double
|
|
||||||
#include <s_csin.c>
|
|
||||||
Loading…
Reference in New Issue
Block a user