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msvcrt: Use the tgamma()/tgammaf() implementation from the bundled musl library.

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This commit is contained in:
Alexandre Julliard 2023-04-03 17:33:33 +02:00
parent 442052fe18
commit dae30bd66d
2 changed files with 10 additions and 158 deletions
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155
dlls/msvcrt/math.c
View file

@ -8996,161 +8996,6 @@ float CDECL remainderf(float x, float y)
return remquof(x, y, &q);
}
/* sin(pi*x) assuming x > 2^-100, if sin(pi*x)==0 the sign is arbitrary */
static double sin_pi(double x)
{
int n;
/* spurious inexact if odd int */
x = 2.0 * (x * 0.5 - floor(x * 0.5)); /* x mod 2.0 */
n = x * 4.0;
n = (n + 1) / 2;
x -= n * 0.5f;
x *= M_PI;
switch (n) {
default: /* case 4: */
case 0: return __sin(x, 0.0, 0);
case 1: return __cos(x, 0.0);
case 2: return __sin(-x, 0.0, 0);
case 3: return -__cos(x, 0.0);
}
}
static double tgamma_S(double x)
{
static const double Snum[] = {
23531376880.410759688572007674451636754734846804940,
42919803642.649098768957899047001988850926355848959,
35711959237.355668049440185451547166705960488635843,
17921034426.037209699919755754458931112671403265390,
6039542586.3520280050642916443072979210699388420708,
1439720407.3117216736632230727949123939715485786772,
248874557.86205415651146038641322942321632125127801,
31426415.585400194380614231628318205362874684987640,
2876370.6289353724412254090516208496135991145378768,
186056.26539522349504029498971604569928220784236328,
8071.6720023658162106380029022722506138218516325024,
210.82427775157934587250973392071336271166969580291,
2.5066282746310002701649081771338373386264310793408,
};
static const double Sden[] = {
0, 39916800, 120543840, 150917976, 105258076, 45995730, 13339535,
2637558, 357423, 32670, 1925, 66, 1,
};
double num = 0, den = 0;
int i;
/* to avoid overflow handle large x differently */
if (x < 8)
for (i = ARRAY_SIZE(Snum) - 1; i >= 0; i--) {
num = num * x + Snum[i];
den = den * x + Sden[i];
}
else
for (i = 0; i < ARRAY_SIZE(Snum); i++) {
num = num / x + Snum[i];
den = den / x + Sden[i];
}
return num / den;
}
/*********************************************************************
* tgamma (MSVCR120.@)
*
* Copied from musl: src/math/tgamma.c
*/
double CDECL tgamma(double x)
{
static const double gmhalf = 5.524680040776729583740234375;
static const double fact[] = {
1, 1, 2, 6, 24, 120, 720, 5040.0, 40320.0, 362880.0, 3628800.0, 39916800.0,
479001600.0, 6227020800.0, 87178291200.0, 1307674368000.0, 20922789888000.0,
355687428096000.0, 6402373705728000.0, 121645100408832000.0,
2432902008176640000.0, 51090942171709440000.0, 1124000727777607680000.0,
};
union {double f; UINT64 i;} u = {x};
double absx, y, dy, z, r;
UINT32 ix = u.i >> 32 & 0x7fffffff;
int sign = u.i >> 63;
/* special cases */
if (ix >= 0x7ff00000) {
/* tgamma(nan)=nan, tgamma(inf)=inf, tgamma(-inf)=nan with invalid */
if (u.i == 0xfff0000000000000ULL)
*_errno() = EDOM;
return x + INFINITY;
}
if (ix < (0x3ff - 54) << 20) {
/* |x| < 2^-54: tgamma(x) ~ 1/x, +-0 raises div-by-zero */
if (x == 0.0)
*_errno() = ERANGE;
return 1 / x;
}
/* integer arguments */
/* raise inexact when non-integer */
if (x == floor(x)) {
if (sign) {
*_errno() = EDOM;
return 0 / (x - x);
}
if (x <= ARRAY_SIZE(fact))
return fact[(int)x - 1];
}
/* x >= 172: tgamma(x)=inf with overflow */
/* x =< -184: tgamma(x)=+-0 with underflow */
if (ix >= 0x40670000) { /* |x| >= 184 */
*_errno() = ERANGE;
if (sign) {
fp_barrierf(0x1p-126 / x);
return 0;
}
x *= 0x1p1023;
return x;
}
absx = sign ? -x : x;
/* handle the error of x + g - 0.5 */
y = absx + gmhalf;
if (absx > gmhalf) {
dy = y - absx;
dy -= gmhalf;
} else {
dy = y - gmhalf;
dy -= absx;
}
z = absx - 0.5;
r = tgamma_S(absx) * exp(-y);
if (x < 0) {
/* reflection formula for negative x */
/* sinpi(absx) is not 0, integers are already handled */
r = -M_PI / (sin_pi(absx) * absx * r);
dy = -dy;
z = -z;
}
r += dy * (gmhalf + 0.5) * r / y;
z = pow(y, 0.5 * z);
y = r * z * z;
return y;
}
/*********************************************************************
* tgammaf (MSVCR120.@)
*
* Copied from musl: src/math/tgammaf.c
*/
float CDECL tgammaf(float x)
{
return tgamma(x);
}
/*********************************************************************
* _except1 (MSVCR120.@)
* TODO:

13
libs/musl/src/math/tgamma.c
View file

@ -114,18 +114,24 @@ double __cdecl tgamma(double x)
int sign = u.i>>63;
/* special cases */
if (ix >= 0x7ff00000)
if (ix >= 0x7ff00000) {
/* tgamma(nan)=nan, tgamma(inf)=inf, tgamma(-inf)=nan with invalid */
if (u.i == 0xfff0000000000000ULL) errno = EDOM;
return x + INFINITY;
if (ix < (0x3ff-54)<<20)
}
if (ix < (0x3ff-54)<<20) {
/* |x| < 2^-54: tgamma(x) ~ 1/x, +-0 raises div-by-zero */
if (x == 0.0) errno = ERANGE;
return 1/x;
}
/* integer arguments */
/* raise inexact when non-integer */
if (x == floor(x)) {
if (sign)
if (sign) {
errno = EDOM;
return 0/0.0;
}
if (x <= sizeof fact/sizeof *fact)
return fact[(int)x - 1];
}
@ -133,6 +139,7 @@ double __cdecl tgamma(double x)
/* x >= 172: tgamma(x)=inf with overflow */
/* x =< -184: tgamma(x)=+-0 with underflow */
if (ix >= 0x40670000) { /* |x| >= 184 */
errno = ERANGE;
if (sign) {
FORCE_EVAL((float)(0x1p-126/x));
if (floor(x) * 0.5 == floor(x * 0.5))