mirror of
https://github.com/reactos/reactos.git
synced 2025-08-03 13:35:47 +00:00
[LIBM] Import win-libm from AMD
Source: https://github.com/amd/win-libm
This commit is contained in:
Timo Kreuzer
parent
081c637c06
commit
4afb647c78
82 changed files with 22392 additions and 0 deletions
256
sdk/lib/crt/math/libm_sse2/sinhf.c
Normal file
256
sdk/lib/crt/math/libm_sse2/sinhf.c
Normal file
|
|
@ -0,0 +1,256 @@
|
|||
|
||||
/*******************************************************************************
|
||||
MIT License
|
||||
-----------
|
||||
|
||||
Copyright (c) 2002-2019 Advanced Micro Devices, Inc.
|
||||
|
||||
Permission is hereby granted, free of charge, to any person obtaining a copy
|
||||
of this Software and associated documentaon files (the "Software"), to deal
|
||||
in the Software without restriction, including without limitation the rights
|
||||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
||||
copies of the Software, and to permit persons to whom the Software is
|
||||
furnished to do so, subject to the following conditions:
|
||||
|
||||
The above copyright notice and this permission notice shall be included in
|
||||
all copies or substantial portions of the Software.
|
||||
|
||||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
||||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
||||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
||||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
||||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
|
||||
THE SOFTWARE.
|
||||
*******************************************************************************/
|
||||
|
||||
#include "libm.h"
|
||||
#include "libm_util.h"
|
||||
|
||||
#define USE_SPLITEXP
|
||||
#define USE_SCALEDOUBLE_1
|
||||
#define USE_INFINITY_WITH_FLAGS
|
||||
#define USE_VALF_WITH_FLAGS
|
||||
#define USE_HANDLE_ERRORF
|
||||
#include "libm_inlines.h"
|
||||
#undef USE_SPLITEXP
|
||||
#undef USE_SCALEDOUBLE_1
|
||||
#undef USE_INFINITY_WITH_FLAGS
|
||||
#undef USE_VALF_WITH_FLAGS
|
||||
#undef USE_HANDLE_ERRORF
|
||||
|
||||
#include "libm_errno.h"
|
||||
|
||||
// Disable "C4163: not available as intrinsic function" warning that older
|
||||
// compilers may issue here.
|
||||
#pragma warning(disable:4163)
|
||||
#pragma function(sinhf)
|
||||
|
||||
|
||||
float sinhf(float fx)
|
||||
{
|
||||
/*
|
||||
After dealing with special cases the computation is split into
|
||||
regions as follows:
|
||||
|
||||
abs(x) >= max_sinh_arg:
|
||||
sinh(x) = sign(x)*Inf
|
||||
|
||||
abs(x) >= small_threshold:
|
||||
sinh(x) = sign(x)*exp(abs(x))/2 computed using the
|
||||
splitexp and scaleDouble functions as for exp_amd().
|
||||
|
||||
abs(x) < small_threshold:
|
||||
compute p = exp(y) - 1 and then z = 0.5*(p+(p/(p+1.0)))
|
||||
sinh(x) is then sign(x)*z. */
|
||||
|
||||
static const double
|
||||
/* The max argument of sinhf, but stored as a double */
|
||||
max_sinh_arg = 8.94159862922329438106e+01, /* 0x40565a9f84f82e63 */
|
||||
thirtytwo_by_log2 = 4.61662413084468283841e+01, /* 0x40471547652b82fe */
|
||||
log2_by_32_lead = 2.16608493356034159660e-02, /* 0x3f962e42fe000000 */
|
||||
log2_by_32_tail = 5.68948749532545630390e-11, /* 0x3dcf473de6af278e */
|
||||
small_threshold = 8*BASEDIGITS_DP64*0.30102999566398119521373889;
|
||||
/* (8*BASEDIGITS_DP64*log10of2) ' exp(-x) insignificant c.f. exp(x) */
|
||||
|
||||
/* Tabulated values of sinh(i) and cosh(i) for i = 0,...,36. */
|
||||
|
||||
static const double sinh_lead[37] = {
|
||||
0.00000000000000000000e+00, /* 0x0000000000000000 */
|
||||
1.17520119364380137839e+00, /* 0x3ff2cd9fc44eb982 */
|
||||
3.62686040784701857476e+00, /* 0x400d03cf63b6e19f */
|
||||
1.00178749274099008204e+01, /* 0x40240926e70949ad */
|
||||
2.72899171971277496596e+01, /* 0x403b4a3803703630 */
|
||||
7.42032105777887522891e+01, /* 0x40528d0166f07374 */
|
||||
2.01713157370279219549e+02, /* 0x406936d22f67c805 */
|
||||
5.48316123273246489589e+02, /* 0x408122876ba380c9 */
|
||||
1.49047882578955000099e+03, /* 0x409749ea514eca65 */
|
||||
4.05154190208278987484e+03, /* 0x40afa7157430966f */
|
||||
1.10132328747033916443e+04, /* 0x40c5829dced69991 */
|
||||
2.99370708492480553105e+04, /* 0x40dd3c4488cb48d6 */
|
||||
8.13773957064298447222e+04, /* 0x40f3de1654d043f0 */
|
||||
2.21206696003330085659e+05, /* 0x410b00b5916a31a5 */
|
||||
6.01302142081972560845e+05, /* 0x412259ac48bef7e3 */
|
||||
1.63450868623590236530e+06, /* 0x4138f0ccafad27f6 */
|
||||
4.44305526025387924165e+06, /* 0x4150f2ebd0a7ffe3 */
|
||||
1.20774763767876271158e+07, /* 0x416709348c0ea4ed */
|
||||
3.28299845686652474105e+07, /* 0x417f4f22091940bb */
|
||||
8.92411504815936237574e+07, /* 0x419546d8f9ed26e1 */
|
||||
2.42582597704895108938e+08, /* 0x41aceb088b68e803 */
|
||||
6.59407867241607308388e+08, /* 0x41c3a6e1fd9eecfd */
|
||||
1.79245642306579566002e+09, /* 0x41dab5adb9c435ff */
|
||||
4.87240172312445068359e+09, /* 0x41f226af33b1fdc0 */
|
||||
1.32445610649217357635e+10, /* 0x4208ab7fb5475fb7 */
|
||||
3.60024496686929321289e+10, /* 0x4220c3d3920962c8 */
|
||||
9.78648047144193725586e+10, /* 0x4236c932696a6b5c */
|
||||
2.66024120300899291992e+11, /* 0x424ef822f7f6731c */
|
||||
7.23128532145737548828e+11, /* 0x42650bba3796379a */
|
||||
1.96566714857202099609e+12, /* 0x427c9aae4631c056 */
|
||||
5.34323729076223046875e+12, /* 0x429370470aec28ec */
|
||||
1.45244248326237109375e+13, /* 0x42aa6b765d8cdf6c */
|
||||
3.94814800913403437500e+13, /* 0x42c1f43fcc4b662c */
|
||||
1.07321789892958031250e+14, /* 0x42d866f34a725782 */
|
||||
2.91730871263727437500e+14, /* 0x42f0953e2f3a1ef7 */
|
||||
7.93006726156715250000e+14, /* 0x430689e221bc8d5a */
|
||||
2.15561577355759750000e+15}; /* 0x431ea215a1d20d76 */
|
||||
|
||||
static const double cosh_lead[37] = {
|
||||
1.00000000000000000000e+00, /* 0x3ff0000000000000 */
|
||||
1.54308063481524371241e+00, /* 0x3ff8b07551d9f550 */
|
||||
3.76219569108363138810e+00, /* 0x400e18fa0df2d9bc */
|
||||
1.00676619957777653269e+01, /* 0x402422a497d6185e */
|
||||
2.73082328360164865444e+01, /* 0x403b4ee858de3e80 */
|
||||
7.42099485247878334349e+01, /* 0x40528d6fcbeff3a9 */
|
||||
2.01715636122455890700e+02, /* 0x406936e67db9b919 */
|
||||
5.48317035155212010977e+02, /* 0x4081228949ba3a8b */
|
||||
1.49047916125217807348e+03, /* 0x409749eaa93f4e76 */
|
||||
4.05154202549259389343e+03, /* 0x40afa715845d8894 */
|
||||
1.10132329201033226127e+04, /* 0x40c5829dd053712d */
|
||||
2.99370708659497577173e+04, /* 0x40dd3c4489115627 */
|
||||
8.13773957125740562333e+04, /* 0x40f3de1654d6b543 */
|
||||
2.21206696005590405548e+05, /* 0x410b00b5916b6105 */
|
||||
6.01302142082804115489e+05, /* 0x412259ac48bf13ca */
|
||||
1.63450868623620807193e+06, /* 0x4138f0ccafad2d17 */
|
||||
4.44305526025399193168e+06, /* 0x4150f2ebd0a8005c */
|
||||
1.20774763767876680940e+07, /* 0x416709348c0ea503 */
|
||||
3.28299845686652623117e+07, /* 0x417f4f22091940bf */
|
||||
8.92411504815936237574e+07, /* 0x419546d8f9ed26e1 */
|
||||
2.42582597704895138741e+08, /* 0x41aceb088b68e804 */
|
||||
6.59407867241607308388e+08, /* 0x41c3a6e1fd9eecfd */
|
||||
1.79245642306579566002e+09, /* 0x41dab5adb9c435ff */
|
||||
4.87240172312445068359e+09, /* 0x41f226af33b1fdc0 */
|
||||
1.32445610649217357635e+10, /* 0x4208ab7fb5475fb7 */
|
||||
3.60024496686929321289e+10, /* 0x4220c3d3920962c8 */
|
||||
9.78648047144193725586e+10, /* 0x4236c932696a6b5c */
|
||||
2.66024120300899291992e+11, /* 0x424ef822f7f6731c */
|
||||
7.23128532145737548828e+11, /* 0x42650bba3796379a */
|
||||
1.96566714857202099609e+12, /* 0x427c9aae4631c056 */
|
||||
5.34323729076223046875e+12, /* 0x429370470aec28ec */
|
||||
1.45244248326237109375e+13, /* 0x42aa6b765d8cdf6c */
|
||||
3.94814800913403437500e+13, /* 0x42c1f43fcc4b662c */
|
||||
1.07321789892958031250e+14, /* 0x42d866f34a725782 */
|
||||
2.91730871263727437500e+14, /* 0x42f0953e2f3a1ef7 */
|
||||
7.93006726156715250000e+14, /* 0x430689e221bc8d5a */
|
||||
2.15561577355759750000e+15}; /* 0x431ea215a1d20d76 */
|
||||
|
||||
unsigned long ux, aux, xneg;
|
||||
double x = fx, y, z, z1, z2;
|
||||
int m;
|
||||
|
||||
/* Special cases */
|
||||
|
||||
GET_BITS_DP64(x, ux);
|
||||
aux = ux & ~SIGNBIT_DP64;
|
||||
if (aux < 0x3f10000000000000) /* |x| small enough that sinh(x) = x */
|
||||
{
|
||||
if (aux == 0)
|
||||
/* with no inexact */
|
||||
return fx;
|
||||
else
|
||||
return valf_with_flags(fx, AMD_F_INEXACT);
|
||||
}
|
||||
else if (aux >= 0x7ff0000000000000) /* |x| is NaN or Inf */
|
||||
{
|
||||
if (aux > 0x7ff0000000000000)
|
||||
{
|
||||
/* x is NaN */
|
||||
unsigned int uhx;
|
||||
GET_BITS_SP32(fx, uhx);
|
||||
return _handle_errorf("sinhf", OP_SINH, uhx|0x00400000, _DOMAIN,
|
||||
0, EDOM, fx, 0.0F, 1);
|
||||
}
|
||||
else
|
||||
return fx + fx;
|
||||
}
|
||||
|
||||
xneg = (aux != ux);
|
||||
|
||||
y = x;
|
||||
if (xneg) y = -x;
|
||||
|
||||
if (y >= max_sinh_arg)
|
||||
{
|
||||
/* Return infinity with overflow flag. */
|
||||
if (xneg)
|
||||
return _handle_errorf("sinhf", OP_SINH, NINFBITPATT_SP32, _OVERFLOW,
|
||||
AMD_F_OVERFLOW, ERANGE, fx, 0.0F, 1);
|
||||
else
|
||||
return _handle_errorf("sinhf", OP_SINH, PINFBITPATT_SP32, _OVERFLOW,
|
||||
AMD_F_OVERFLOW, ERANGE, fx, 0.0F, 1);
|
||||
}
|
||||
else if (y >= small_threshold)
|
||||
{
|
||||
/* In this range y is large enough so that
|
||||
the negative exponential is negligible,
|
||||
so sinh(y) is approximated by sign(x)*exp(y)/2. The
|
||||
code below is an inlined version of that from
|
||||
exp() with two changes (it operates on
|
||||
y instead of x, and the division by 2 is
|
||||
done by reducing m by 1). */
|
||||
|
||||
splitexp(y, 1.0, thirtytwo_by_log2, log2_by_32_lead,
|
||||
log2_by_32_tail, &m, &z1, &z2);
|
||||
m -= 1;
|
||||
/* scaleDouble_1 is always safe because the argument x was
|
||||
float, rather than double */
|
||||
z = scaleDouble_1((z1+z2),m);
|
||||
}
|
||||
else
|
||||
{
|
||||
/* In this range we find the integer part y0 of y
|
||||
and the increment dy = y - y0. We then compute
|
||||
|
||||
z = sinh(y) = sinh(y0)cosh(dy) + cosh(y0)sinh(dy)
|
||||
|
||||
where sinh(y0) and cosh(y0) are tabulated above. */
|
||||
|
||||
int ind;
|
||||
double dy, dy2, sdy, cdy;
|
||||
|
||||
ind = (int)y;
|
||||
dy = y - ind;
|
||||
|
||||
dy2 = dy*dy;
|
||||
|
||||
sdy = dy + dy*dy2*(0.166666666666666667013899e0 +
|
||||
(0.833333333333329931873097e-2 +
|
||||
(0.198412698413242405162014e-3 +
|
||||
(0.275573191913636406057211e-5 +
|
||||
(0.250521176994133472333666e-7 +
|
||||
(0.160576793121939886190847e-9 +
|
||||
0.7746188980094184251527126e-12*dy2)*dy2)*dy2)*dy2)*dy2)*dy2);
|
||||
|
||||
cdy = 1 + dy2*(0.500000000000000005911074e0 +
|
||||
(0.416666666666660876512776e-1 +
|
||||
(0.138888888889814854814536e-2 +
|
||||
(0.248015872460622433115785e-4 +
|
||||
(0.275573350756016588011357e-6 +
|
||||
(0.208744349831471353536305e-8 +
|
||||
0.1163921388172173692062032e-10*dy2)*dy2)*dy2)*dy2)*dy2)*dy2);
|
||||
|
||||
z = sinh_lead[ind]*cdy + cosh_lead[ind]*sdy;
|
||||
}
|
||||
|
||||
if (xneg) z = - z;
|
||||
return (float)z;
|
||||
}
|
||||
Loading…
Add table
Add a link
Reference in a new issue