vasilito
48a924c561
The libredox 0.1.19 / redox_syscall 0.9.1 bump left 45 recipe lockfiles pinning libredox 0.1.18+rb0.3.1 and redox_syscall 0.9.0+rb0.3.1. The cookbook builds with --locked, so every affected recipe died with error: cannot update the lock file .../Cargo.lock because --locked was passed to prevent this which is what took out redox-driver-sys -- and with it every Red Bear driver -- during the redbear-full build. Regenerating the fork lockfiles was not enough; the recipes that consume the forks as path deps carry their own. This is step 6 of local/docs/FORK-BUMP-PATCHING-POLICY.md applied to the recipe layer. Also drop the hardcoded GCC version in recipes/libs/libstdcxx-v3: the literal include/c++/13.2.0 stopped resolving the moment the cross toolchain moved to 16.1.0, leaving -I pointing at a directory that does not exist. Now resolves the newest installed C++ header directory and fails loudly if there is none. Same failure class as the hardcoded 13.2.0 in mk/prefix.mk. Note: a few recipe-level Cargo.lock files (redox-driver-pci, cpufreqd, redbear-acmd/-ecmd/-ftdi) sit beside a recipe.toml whose [source] is path = "source", so they are not build inputs; redox-driver-pci's even references a redox-driver-core/Cargo.toml that does not exist. They are left alone rather than given meaning they do not have. redox-driver-sys now cooks clean.
203 lines
5.5 KiB
C
203 lines
5.5 KiB
C
/* Return arc hyperbolic sine for a complex float type, with the
|
|
imaginary part of the result possibly adjusted for use in
|
|
computing other functions.
|
|
Copyright (C) 1997-2018 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 "quadmath-imp.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. */
|
|
|
|
__complex128
|
|
__quadmath_kernel_casinhq (__complex128 x, int adj)
|
|
{
|
|
__complex128 res;
|
|
__float128 rx, ix;
|
|
__complex128 y;
|
|
|
|
/* Avoid cancellation by reducing to the first quadrant. */
|
|
rx = fabsq (__real__ x);
|
|
ix = fabsq (__imag__ x);
|
|
|
|
if (rx >= 1 / FLT128_EPSILON || ix >= 1 / FLT128_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)
|
|
{
|
|
__float128 t = __real__ y;
|
|
__real__ y = copysignq (__imag__ y, __imag__ x);
|
|
__imag__ y = t;
|
|
}
|
|
|
|
res = clogq (y);
|
|
__real__ res += (__float128) M_LN2q;
|
|
}
|
|
else if (rx >= 0.5Q && ix < FLT128_EPSILON / 8)
|
|
{
|
|
__float128 s = hypotq (1, rx);
|
|
|
|
__real__ res = logq (rx + s);
|
|
if (adj)
|
|
__imag__ res = atan2q (s, __imag__ x);
|
|
else
|
|
__imag__ res = atan2q (ix, s);
|
|
}
|
|
else if (rx < FLT128_EPSILON / 8 && ix >= 1.5Q)
|
|
{
|
|
__float128 s = sqrtq ((ix + 1) * (ix - 1));
|
|
|
|
__real__ res = logq (ix + s);
|
|
if (adj)
|
|
__imag__ res = atan2q (rx, copysignq (s, __imag__ x));
|
|
else
|
|
__imag__ res = atan2q (s, rx);
|
|
}
|
|
else if (ix > 1 && ix < 1.5Q && rx < 0.5Q)
|
|
{
|
|
if (rx < FLT128_EPSILON * FLT128_EPSILON)
|
|
{
|
|
__float128 ix2m1 = (ix + 1) * (ix - 1);
|
|
__float128 s = sqrtq (ix2m1);
|
|
|
|
__real__ res = log1pq (2 * (ix2m1 + ix * s)) / 2;
|
|
if (adj)
|
|
__imag__ res = atan2q (rx, copysignq (s, __imag__ x));
|
|
else
|
|
__imag__ res = atan2q (s, rx);
|
|
}
|
|
else
|
|
{
|
|
__float128 ix2m1 = (ix + 1) * (ix - 1);
|
|
__float128 rx2 = rx * rx;
|
|
__float128 f = rx2 * (2 + rx2 + 2 * ix * ix);
|
|
__float128 d = sqrtq (ix2m1 * ix2m1 + f);
|
|
__float128 dp = d + ix2m1;
|
|
__float128 dm = f / dp;
|
|
__float128 r1 = sqrtq ((dm + rx2) / 2);
|
|
__float128 r2 = rx * ix / r1;
|
|
|
|
__real__ res = log1pq (rx2 + dp + 2 * (rx * r1 + ix * r2)) / 2;
|
|
if (adj)
|
|
__imag__ res = atan2q (rx + r1, copysignq (ix + r2, __imag__ x));
|
|
else
|
|
__imag__ res = atan2q (ix + r2, rx + r1);
|
|
}
|
|
}
|
|
else if (ix == 1 && rx < 0.5Q)
|
|
{
|
|
if (rx < FLT128_EPSILON / 8)
|
|
{
|
|
__real__ res = log1pq (2 * (rx + sqrtq (rx))) / 2;
|
|
if (adj)
|
|
__imag__ res = atan2q (sqrtq (rx), copysignq (1, __imag__ x));
|
|
else
|
|
__imag__ res = atan2q (1, sqrtq (rx));
|
|
}
|
|
else
|
|
{
|
|
__float128 d = rx * sqrtq (4 + rx * rx);
|
|
__float128 s1 = sqrtq ((d + rx * rx) / 2);
|
|
__float128 s2 = sqrtq ((d - rx * rx) / 2);
|
|
|
|
__real__ res = log1pq (rx * rx + d + 2 * (rx * s1 + s2)) / 2;
|
|
if (adj)
|
|
__imag__ res = atan2q (rx + s1, copysignq (1 + s2, __imag__ x));
|
|
else
|
|
__imag__ res = atan2q (1 + s2, rx + s1);
|
|
}
|
|
}
|
|
else if (ix < 1 && rx < 0.5Q)
|
|
{
|
|
if (ix >= FLT128_EPSILON)
|
|
{
|
|
if (rx < FLT128_EPSILON * FLT128_EPSILON)
|
|
{
|
|
__float128 onemix2 = (1 + ix) * (1 - ix);
|
|
__float128 s = sqrtq (onemix2);
|
|
|
|
__real__ res = log1pq (2 * rx / s) / 2;
|
|
if (adj)
|
|
__imag__ res = atan2q (s, __imag__ x);
|
|
else
|
|
__imag__ res = atan2q (ix, s);
|
|
}
|
|
else
|
|
{
|
|
__float128 onemix2 = (1 + ix) * (1 - ix);
|
|
__float128 rx2 = rx * rx;
|
|
__float128 f = rx2 * (2 + rx2 + 2 * ix * ix);
|
|
__float128 d = sqrtq (onemix2 * onemix2 + f);
|
|
__float128 dp = d + onemix2;
|
|
__float128 dm = f / dp;
|
|
__float128 r1 = sqrtq ((dp + rx2) / 2);
|
|
__float128 r2 = rx * ix / r1;
|
|
|
|
__real__ res = log1pq (rx2 + dm + 2 * (rx * r1 + ix * r2)) / 2;
|
|
if (adj)
|
|
__imag__ res = atan2q (rx + r1, copysignq (ix + r2,
|
|
__imag__ x));
|
|
else
|
|
__imag__ res = atan2q (ix + r2, rx + r1);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
__float128 s = hypotq (1, rx);
|
|
|
|
__real__ res = log1pq (2 * rx * (rx + s)) / 2;
|
|
if (adj)
|
|
__imag__ res = atan2q (s, __imag__ x);
|
|
else
|
|
__imag__ res = atan2q (ix, s);
|
|
}
|
|
math_check_force_underflow_nonneg (__real__ res);
|
|
}
|
|
else
|
|
{
|
|
__real__ y = (rx - ix) * (rx + ix) + 1;
|
|
__imag__ y = 2 * rx * ix;
|
|
|
|
y = csqrtq (y);
|
|
|
|
__real__ y += rx;
|
|
__imag__ y += ix;
|
|
|
|
if (adj)
|
|
{
|
|
__float128 t = __real__ y;
|
|
__real__ y = copysignq (__imag__ y, __imag__ x);
|
|
__imag__ y = t;
|
|
}
|
|
|
|
res = clogq (y);
|
|
}
|
|
|
|
/* Give results the correct sign for the original argument. */
|
|
__real__ res = copysignq (__real__ res, __real__ x);
|
|
__imag__ res = copysignq (__imag__ res, (adj ? 1 : __imag__ x));
|
|
|
|
return res;
|
|
}
|