#include <sys/cdefs.h>
#if defined(LIBM_SCCS) && !defined(lint)
__RCSID("$NetBSD: e_j1f.c,v 1.6 1999/07/02 15:37:39 simonb Exp $");
#endif
#include "math.h"
#include "math_private.h"
static float ponef(float), qonef(float);
static const float
huge = 1e30,
one = 1.0,
invsqrtpi= 5.6418961287e-01,
tpi = 6.3661974669e-01,
r00 = -6.2500000000e-02,
r01 = 1.4070566976e-03,
r02 = -1.5995563444e-05,
r03 = 4.9672799207e-08,
s01 = 1.9153760746e-02,
s02 = 1.8594678841e-04,
s03 = 1.1771846857e-06,
s04 = 5.0463624390e-09,
s05 = 1.2354227016e-11;
static const float zero = 0.0;
float j1f(float x)
{
float z, s,c,ss,cc,r,u,v,y;
int32_t hx,ix;
GET_FLOAT_WORD(hx,x);
ix = hx&0x7fffffff;
if(ix>=0x7f800000) return one/x;
y = fabsf(x);
if(ix >= 0x40000000) {
s = sinf(y);
c = cosf(y);
ss = -s-c;
cc = s-c;
if(ix<0x7f000000) {
z = cosf(y+y);
if ((s*c)>zero) cc = z/ss;
else ss = z/cc;
}
if((uint32_t)ix>0x80000000u) z = (invsqrtpi*cc)/sqrtf(y);
else {
u = ponef(y); v = qonef(y);
z = invsqrtpi*(u*cc-v*ss)/sqrtf(y);
}
if(hx<0) return -z;
else return z;
}
if(ix<0x32000000) {
if(huge+x>one) return (float)0.5*x;
}
z = x*x;
r = z*(r00+z*(r01+z*(r02+z*r03)));
s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
r *= x;
return(x*(float)0.5+r/s);
}
static const float U0[5] = {
-1.9605709612e-01,
5.0443872809e-02,
-1.9125689287e-03,
2.3525259166e-05,
-9.1909917899e-08,
};
static const float V0[5] = {
1.9916731864e-02,
2.0255257550e-04,
1.3560879779e-06,
6.2274145840e-09,
1.6655924903e-11,
};
#define __ieee754_j1f j1f
#define __ieee754_logf logf
float y1f(float x)
{
float z, s,c,ss,cc,u,v;
int32_t hx,ix;
GET_FLOAT_WORD(hx,x);
ix = 0x7fffffff&hx;
if(ix>=0x7f800000) return one/(x+x*x);
if(ix==0) return -one/zero;
if(hx<0) return zero/zero;
if(ix >= 0x40000000) {
s = sinf(x);
c = cosf(x);
ss = -s-c;
cc = s-c;
if(ix<0x7f000000) {
z = cosf(x+x);
if ((s*c)>zero) cc = z/ss;
else ss = z/cc;
}
if(ix>0x48000000) z = (invsqrtpi*ss)/sqrtf(x);
else {
u = ponef(x); v = qonef(x);
z = invsqrtpi*(u*ss+v*cc)/sqrtf(x);
}
return z;
}
if(ix<=0x24800000) {
return(-tpi/x);
}
z = x*x;
u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
return(x*(u/v) + tpi*(__ieee754_j1f(x)*__ieee754_logf(x)-one/x));
}
#ifdef __STDC__
static const float pr8[6] = {
#else
static float pr8[6] = {
#endif
0.0000000000e+00,
1.1718750000e-01,
1.3239480972e+01,
4.1205184937e+02,
3.8747453613e+03,
7.9144794922e+03,
};
#ifdef __STDC__
static const float ps8[5] = {
#else
static float ps8[5] = {
#endif
1.1420736694e+02,
3.6509309082e+03,
3.6956207031e+04,
9.7602796875e+04,
3.0804271484e+04,
};
#ifdef __STDC__
static const float pr5[6] = {
#else
static float pr5[6] = {
#endif
1.3199052094e-11,
1.1718749255e-01,
6.8027510643e+00,
1.0830818176e+02,
5.1763616943e+02,
5.2871520996e+02,
};
#ifdef __STDC__
static const float ps5[5] = {
#else
static float ps5[5] = {
#endif
5.9280597687e+01,
9.9140142822e+02,
5.3532670898e+03,
7.8446904297e+03,
1.5040468750e+03,
};
#ifdef __STDC__
static const float pr3[6] = {
#else
static float pr3[6] = {
#endif
3.0250391081e-09,
1.1718686670e-01,
3.9329774380e+00,
3.5119403839e+01,
9.1055007935e+01,
4.8559066772e+01,
};
#ifdef __STDC__
static const float ps3[5] = {
#else
static float ps3[5] = {
#endif
3.4791309357e+01,
3.3676245117e+02,
1.0468714600e+03,
8.9081134033e+02,
1.0378793335e+02,
};
#ifdef __STDC__
static const float pr2[6] = {
#else
static float pr2[6] = {
#endif
1.0771083225e-07,
1.1717621982e-01,
2.3685150146e+00,
1.2242610931e+01,
1.7693971634e+01,
5.0735230446e+00,
};
#ifdef __STDC__
static const float ps2[5] = {
#else
static float ps2[5] = {
#endif
2.1436485291e+01,
1.2529022980e+02,
2.3227647400e+02,
1.1767937469e+02,
8.3646392822e+00,
};
#ifdef __STDC__
static float ponef(float x)
#else
static float ponef(x)
float x;
#endif
{
#ifdef __STDC__
const float *p,*q;
#else
float *p,*q;
#endif
float z,r,s;
int32_t ix;
p = q = 0;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
if(ix>=0x41000000) {p = pr8; q= ps8;}
else if(ix>=0x40f71c58){p = pr5; q= ps5;}
else if(ix>=0x4036db68){p = pr3; q= ps3;}
else if(ix>=0x40000000){p = pr2; q= ps2;}
z = one/(x*x);
r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
return one+ r/s;
}
#ifdef __STDC__
static const float qr8[6] = {
#else
static float qr8[6] = {
#endif
0.0000000000e+00,
-1.0253906250e-01,
-1.6271753311e+01,
-7.5960174561e+02,
-1.1849806641e+04,
-4.8438511719e+04,
};
#ifdef __STDC__
static const float qs8[6] = {
#else
static float qs8[6] = {
#endif
1.6139537048e+02,
7.8253862305e+03,
1.3387534375e+05,
7.1965775000e+05,
6.6660125000e+05,
-2.9449025000e+05,
};
#ifdef __STDC__
static const float qr5[6] = {
#else
static float qr5[6] = {
#endif
-2.0897993405e-11,
-1.0253904760e-01,
-8.0564479828e+00,
-1.8366960144e+02,
-1.3731937256e+03,
-2.6124443359e+03,
};
#ifdef __STDC__
static const float qs5[6] = {
#else
static float qs5[6] = {
#endif
8.1276550293e+01,
1.9917987061e+03,
1.7468484375e+04,
4.9851425781e+04,
2.7948074219e+04,
-4.7191835938e+03,
};
#ifdef __STDC__
static const float qr3[6] = {
#else
static float qr3[6] = {
#endif
-5.0783124372e-09,
-1.0253783315e-01,
-4.6101160049e+00,
-5.7847221375e+01,
-2.2824453735e+02,
-2.1921012878e+02,
};
#ifdef __STDC__
static const float qs3[6] = {
#else
static float qs3[6] = {
#endif
4.7665153503e+01,
6.7386511230e+02,
3.3801528320e+03,
5.5477290039e+03,
1.9031191406e+03,
-1.3520118713e+02,
};
#ifdef __STDC__
static const float qr2[6] = {
#else
static float qr2[6] = {
#endif
-1.7838172539e-07,
-1.0251704603e-01,
-2.7522056103e+00,
-1.9663616180e+01,
-4.2325313568e+01,
-2.1371921539e+01,
};
#ifdef __STDC__
static const float qs2[6] = {
#else
static float qs2[6] = {
#endif
2.9533363342e+01,
2.5298155212e+02,
7.5750280762e+02,
7.3939318848e+02,
1.5594900513e+02,
-4.9594988823e+00,
};
#ifdef __STDC__
static float qonef(float x)
#else
static float qonef(x)
float x;
#endif
{
#ifdef __STDC__
const float *p,*q;
#else
float *p,*q;
#endif
float s,r,z;
int32_t ix;
p = q = 0;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
if(ix>=0x40200000) {p = qr8; q= qs8;}
else if(ix>=0x40f71c58){p = qr5; q= qs5;}
else if(ix>=0x4036db68){p = qr3; q= qs3;}
else if(ix>=0x40000000){p = qr2; q= qs2;}
z = one/(x*x);
r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
return ((float).375 + r/s)/x;
}