#include <sys/cdefs.h>
#if defined(LIBM_SCCS) && !defined(lint)
__RCSID("$NetBSD: e_lgammaf_r.c,v 1.5 1999/07/02 15:37:40 simonb Exp $");
#endif
#include "math.h"
#include "math_private.h"
static const float
two23= 8.3886080000e+06,
half= 5.0000000000e-01,
one = 1.0000000000e+00,
pi = 3.1415927410e+00,
a0 = 7.7215664089e-02,
a1 = 3.2246702909e-01,
a2 = 6.7352302372e-02,
a3 = 2.0580807701e-02,
a4 = 7.3855509982e-03,
a5 = 2.8905137442e-03,
a6 = 1.1927076848e-03,
a7 = 5.1006977446e-04,
a8 = 2.2086278477e-04,
a9 = 1.0801156895e-04,
a10 = 2.5214456400e-05,
a11 = 4.4864096708e-05,
tc = 1.4616321325e+00,
tf = -1.2148628384e-01,
tt = 6.6971006518e-09,
t0 = 4.8383611441e-01,
t1 = -1.4758771658e-01,
t2 = 6.4624942839e-02,
t3 = -3.2788541168e-02,
t4 = 1.7970675603e-02,
t5 = -1.0314224288e-02,
t6 = 6.1005386524e-03,
t7 = -3.6845202558e-03,
t8 = 2.2596477065e-03,
t9 = -1.4034647029e-03,
t10 = 8.8108185446e-04,
t11 = -5.3859531181e-04,
t12 = 3.1563205994e-04,
t13 = -3.1275415677e-04,
t14 = 3.3552918467e-04,
u0 = -7.7215664089e-02,
u1 = 6.3282704353e-01,
u2 = 1.4549225569e+00,
u3 = 9.7771751881e-01,
u4 = 2.2896373272e-01,
u5 = 1.3381091878e-02,
v1 = 2.4559779167e+00,
v2 = 2.1284897327e+00,
v3 = 7.6928514242e-01,
v4 = 1.0422264785e-01,
v5 = 3.2170924824e-03,
s0 = -7.7215664089e-02,
s1 = 2.1498242021e-01,
s2 = 3.2577878237e-01,
s3 = 1.4635047317e-01,
s4 = 2.6642270386e-02,
s5 = 1.8402845599e-03,
s6 = 3.1947532989e-05,
r1 = 1.3920053244e+00,
r2 = 7.2193557024e-01,
r3 = 1.7193385959e-01,
r4 = 1.8645919859e-02,
r5 = 7.7794247773e-04,
r6 = 7.3266842264e-06,
w0 = 4.1893854737e-01,
w1 = 8.3333335817e-02,
w2 = -2.7777778450e-03,
w3 = 7.9365057172e-04,
w4 = -5.9518753551e-04,
w5 = 8.3633989561e-04,
w6 = -1.6309292987e-03;
static const float zero= 0.0000000000e+00;
#define __kernel_sinf(x,y,z) sinf(x)
#define __kernel_cosf(x,y) cosf(x)
static float sin_pif(float x)
{
float y,z;
int n,ix;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
if(ix<0x3e800000) return __kernel_sinf(pi*x,zero,0);
y = -x;
z = floorf(y);
if(z!=y) {
y *= (float)0.5;
y = (float)2.0*(y - floorf(y));
n = (int) (y*(float)4.0);
} else {
if(ix>=0x4b800000) {
y = zero; n = 0;
} else {
if(ix<0x4b000000) z = y+two23;
GET_FLOAT_WORD(n,z);
n &= 1;
y = n;
n<<= 2;
}
}
switch (n) {
case 0: y = __kernel_sinf(pi*y,zero,0); break;
case 1:
case 2: y = __kernel_cosf(pi*((float)0.5-y),zero); break;
case 3:
case 4: y = __kernel_sinf(pi*(one-y),zero,0); break;
case 5:
case 6: y = -__kernel_cosf(pi*(y-(float)1.5),zero); break;
default: y = __kernel_sinf(pi*(y-(float)2.0),zero,0); break;
}
return -y;
}
#define __ieee754_logf logf
float lgammaf_r(float x, int *signgamp)
{
float t,y,z,nadj,p,p1,p2,p3,q,r,w;
int i,hx,ix;
nadj = 0;
GET_FLOAT_WORD(hx,x);
*signgamp = 1;
ix = hx&0x7fffffff;
if(ix>=0x7f800000) return x*x;
if(ix==0) return ((x + one)/zero);
if(ix<0x1c800000) {
if(hx<0) {
*signgamp = -1;
return -__ieee754_logf(-x);
} else return -__ieee754_logf(x);
}
if(hx<0) {
if(ix>=0x4b000000)
return ((-x)/zero);
t = sin_pif(x);
if(t==zero) return ((-x)/zero);
nadj = __ieee754_logf(pi/fabsf(t*x));
if(t<zero) *signgamp = -1;
x = -x;
}
if (ix==0x3f800000||ix==0x40000000) r = 0;
else if(ix<0x40000000) {
if(ix<=0x3f666666) {
r = -__ieee754_logf(x);
if(ix>=0x3f3b4a20) {y = one-x; i= 0;}
else if(ix>=0x3e6d3308) {y= x-(tc-one); i=1;}
else {y = x; i=2;}
} else {
r = zero;
if(ix>=0x3fdda618) {y=(float)2.0-x;i=0;}
else if(ix>=0x3F9da620) {y=x-tc;i=1;}
else {y=x-one;i=2;}
}
switch(i) {
case 0:
z = y*y;
p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
p = y*p1+p2;
r += (p-(float)0.5*y); break;
case 1:
z = y*y;
w = z*y;
p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12)));
p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
p = z*p1-(tt-w*(p2+y*p3));
r += (tf + p); break;
case 2:
p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
r += (-(float)0.5*y + p1/p2);
}
}
else if(ix<0x41000000) {
i = (int)x;
t = zero;
y = x-(float)i;
p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
r = half*y+p/q;
z = one;
switch(i) {
case 7: z *= (y+(float)6.0);
case 6: z *= (y+(float)5.0);
case 5: z *= (y+(float)4.0);
case 4: z *= (y+(float)3.0);
case 3: z *= (y+(float)2.0);
r += __ieee754_logf(z); break;
}
} else if (ix < 0x5c800000) {
t = __ieee754_logf(x);
z = one/x;
y = z*z;
w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
r = (x-half)*(t-one)+w;
} else
r = x*(__ieee754_logf(x)-one);
if(hx<0) r = nadj - r;
return r;
}