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msvcrt: Import asin from musl.

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Signed-off-by: Piotr Caban <piotr@codeweavers.com>
Signed-off-by: Alexandre Julliard <julliard@winehq.org>
This commit is contained in:
Piotr Caban 2020-08-06 16:59:17 +02:00 committed by Alexandre Julliard
parent d37e76a9a7
commit 2cb6a1780c
1 changed files with 66 additions and 4 deletions
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70
dlls/msvcrt/math.c
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@ -654,13 +654,75 @@ double CDECL MSVCRT_acos( double x )
/*********************************************************************
* MSVCRT_asin (MSVCRT.@)
*
* Copied from musl: src/math/asin.c
*/
static double asin_R(double z)
{
/* coefficients for R(x^2) */
static const double pS0 = 1.66666666666666657415e-01,
pS1 = -3.25565818622400915405e-01,
pS2 = 2.01212532134862925881e-01,
pS3 = -4.00555345006794114027e-02,
pS4 = 7.91534994289814532176e-04,
pS5 = 3.47933107596021167570e-05,
qS1 = -2.40339491173441421878e+00,
qS2 = 2.02094576023350569471e+00,
qS3 = -6.88283971605453293030e-01,
qS4 = 7.70381505559019352791e-02;
double p, q;
p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5)))));
q = 1.0 + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4)));
return p / q;
}
double CDECL MSVCRT_asin( double x )
{
double ret = atan2(x, sqrt((1 - x) * (1 + x)));
if (x < -1.0 || x > 1.0 || !isfinite(x))
return math_error(_DOMAIN, "asin", x, 0, ret);
return ret;
static const double pio2_hi = 1.57079632679489655800e+00,
pio2_lo = 6.12323399573676603587e-17;
double z, r, s;
unsigned int hx, ix;
ULONGLONG llx;
hx = *(ULONGLONG*)&x >> 32;
ix = hx & 0x7fffffff;
/* |x| >= 1 or nan */
if (ix >= 0x3ff00000) {
unsigned int lx;
lx = *(ULONGLONG*)&x;
if (((ix - 0x3ff00000) | lx) == 0)
/* asin(1) = +-pi/2 with inexact */
return x * pio2_hi + 7.5231638452626401e-37;
if (isnan(x)) return x;
return math_error(_DOMAIN, "asin", x, 0, 0 / (x - x));
}
/* |x| < 0.5 */
if (ix < 0x3fe00000) {
/* if 0x1p-1022 <= |x| < 0x1p-26, avoid raising underflow */
if (ix < 0x3e500000 && ix >= 0x00100000)
return x;
return x + x * asin_R(x * x);
}
/* 1 > |x| >= 0.5 */
z = (1 - fabs(x)) * 0.5;
s = sqrt(z);
r = asin_R(z);
if (ix >= 0x3fef3333) { /* if |x| > 0.975 */
x = pio2_hi - (2 * (s + s * r) - pio2_lo);
} else {
double f, c;
/* f+c = sqrt(z) */
f = s;
llx = (*(ULONGLONG*)&f >> 32) << 32;
f = *(double*)&llx;
c = (z - f * f) / (s + f);
x = 0.5 * pio2_hi - (2 * s * r - (pio2_lo - 2 * c) - (0.5 * pio2_hi - 2 * f));
}
if (hx >> 31)
return -x;
return x;
}
/*********************************************************************