Prepare to convert _Complex sine functions
This patch has no function changes, except to ensure the git history correctly tracks the changes to convert the double version of these functions into a templated version.
This commit is contained in:
parent
a6f20b6763
commit
ffb84f5e19
@ -1,3 +1,11 @@
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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_casinh_template.c: Copy of s_casinh.c.
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* s_csin_template.c: Copy of s_csin.c.
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* s_csinh_template.c: Copy of s_csinh.c.
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* k_casinh_template.c: Copy of k_casinh.c.
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2016-08-19 H.J. Lu <hongjiu.lu@intel.com>
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* sysdeps/x86/cpu-features.h (bit_YMM_state): Set to (1 << 2).
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210
math/k_casinh_template.c
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210
math/k_casinh_template.c
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@ -0,0 +1,210 @@
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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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66
math/s_casin_template.c
Normal file
66
math/s_casin_template.c
Normal file
@ -0,0 +1,66 @@
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/* Return arc sine of complex double value.
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Copyright (C) 1997-2016 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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#include <complex.h>
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#include <math.h>
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#include <math_private.h>
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__complex__ double
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__casin (__complex__ double x)
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{
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__complex__ double res;
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if (isnan (__real__ x) || isnan (__imag__ x))
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{
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if (__real__ x == 0.0)
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{
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res = x;
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}
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else if (isinf (__real__ x) || isinf (__imag__ x))
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{
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__real__ res = __nan ("");
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__imag__ res = __copysign (HUGE_VAL, __imag__ x);
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}
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else
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{
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__real__ res = __nan ("");
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__imag__ res = __nan ("");
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}
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}
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else
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{
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__complex__ double y;
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__real__ y = -__imag__ x;
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__imag__ y = __real__ x;
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y = __casinh (y);
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__real__ res = __imag__ y;
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__imag__ res = -__real__ y;
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}
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return res;
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}
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weak_alias (__casin, casin)
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#ifdef NO_LONG_DOUBLE
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strong_alias (__casin, __casinl)
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weak_alias (__casin, casinl)
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#endif
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73
math/s_casinh_template.c
Normal file
73
math/s_casinh_template.c
Normal file
@ -0,0 +1,73 @@
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/* Return arc hyperbole sine for double value.
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Copyright (C) 1997-2016 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
|
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License as published by the Free Software Foundation; either
|
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version 2.1 of the License, or (at your option) any later version.
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||||
|
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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
|
||||
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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__complex__ double
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__casinh (__complex__ double x)
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{
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__complex__ double res;
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int rcls = fpclassify (__real__ x);
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int icls = fpclassify (__imag__ x);
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if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
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{
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if (icls == FP_INFINITE)
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{
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__real__ res = __copysign (HUGE_VAL, __real__ x);
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if (rcls == FP_NAN)
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__imag__ res = __nan ("");
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else
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__imag__ res = __copysign (rcls >= FP_ZERO ? M_PI_2 : M_PI_4,
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__imag__ x);
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}
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else if (rcls <= FP_INFINITE)
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{
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__real__ res = __real__ x;
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if ((rcls == FP_INFINITE && icls >= FP_ZERO)
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|| (rcls == FP_NAN && icls == FP_ZERO))
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__imag__ res = __copysign (0.0, __imag__ x);
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else
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__imag__ res = __nan ("");
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}
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else
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{
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__real__ res = __nan ("");
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__imag__ res = __nan ("");
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}
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}
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else if (rcls == FP_ZERO && icls == FP_ZERO)
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{
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res = x;
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}
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else
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{
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res = __kernel_casinh (x, 0);
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}
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return res;
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}
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weak_alias (__casinh, casinh)
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#ifdef NO_LONG_DOUBLE
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strong_alias (__casinh, __casinhl)
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weak_alias (__casinh, casinhl)
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#endif
|
171
math/s_csin_template.c
Normal file
171
math/s_csin_template.c
Normal file
@ -0,0 +1,171 @@
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/* Complex sine function for double.
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Copyright (C) 1997-2016 Free Software Foundation, Inc.
|
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This file is part of the GNU C Library.
|
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
|
||||
|
||||
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/>. */
|
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|
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#include <complex.h>
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#include <fenv.h>
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#include <math.h>
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#include <math_private.h>
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#include <float.h>
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__complex__ double
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__csin (__complex__ double x)
|
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{
|
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__complex__ double retval;
|
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int negate = signbit (__real__ x);
|
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int rcls = fpclassify (__real__ x);
|
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int icls = fpclassify (__imag__ x);
|
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|
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__real__ x = fabs (__real__ x);
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if (__glibc_likely (icls >= FP_ZERO))
|
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{
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/* Imaginary part is finite. */
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if (__glibc_likely (rcls >= FP_ZERO))
|
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{
|
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/* Real part is finite. */
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const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
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double sinix, cosix;
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if (__glibc_likely (__real__ x > DBL_MIN))
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{
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__sincos (__real__ x, &sinix, &cosix);
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}
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else
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{
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sinix = __real__ x;
|
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cosix = 1.0;
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}
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|
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if (negate)
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sinix = -sinix;
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if (fabs (__imag__ x) > t)
|
||||
{
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double exp_t = __ieee754_exp (t);
|
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double ix = fabs (__imag__ x);
|
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if (signbit (__imag__ x))
|
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cosix = -cosix;
|
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ix -= t;
|
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sinix *= exp_t / 2.0;
|
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cosix *= exp_t / 2.0;
|
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if (ix > t)
|
||||
{
|
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ix -= t;
|
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sinix *= exp_t;
|
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cosix *= exp_t;
|
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}
|
||||
if (ix > t)
|
||||
{
|
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/* Overflow (original imaginary part of x > 3t). */
|
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__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;
|
||||
}
|
||||
|
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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
|
166
math/s_csinh_template.c
Normal file
166
math/s_csinh_template.c
Normal file
@ -0,0 +1,166 @@
|
||||
/* 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
|
Loading…
Reference in New Issue
Block a user