diff options
Diffstat (limited to 'lib/msun/src/e_j0.c')
| -rw-r--r-- | lib/msun/src/e_j0.c | 30 |
1 files changed, 20 insertions, 10 deletions
diff --git a/lib/msun/src/e_j0.c b/lib/msun/src/e_j0.c index 8320f25..a253ed1 100644 --- a/lib/msun/src/e_j0.c +++ b/lib/msun/src/e_j0.c @@ -62,7 +62,9 @@ __FBSDID("$FreeBSD$"); #include "math.h" #include "math_private.h" -static double pzero(double), qzero(double); +static __inline double pzero(double), qzero(double); + +static const volatile double vone = 1, vzero = 0; static const double huge = 1e300, @@ -115,7 +117,7 @@ __ieee754_j0(double x) if(ix<0x3f200000) { /* |x| < 2**-13 */ if(huge+x>one) { /* raise inexact if x != 0 */ if(ix<0x3e400000) return one; /* |x|<2**-27 */ - else return one - 0.25*x*x; + else return one - x*x/4; } } z = x*x; @@ -150,10 +152,16 @@ __ieee754_y0(double x) EXTRACT_WORDS(hx,lx,x); ix = 0x7fffffff&hx; - /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */ - if(ix>=0x7ff00000) return one/(x+x*x); - if((ix|lx)==0) return -one/zero; - if(hx<0) return zero/zero; + /* + * y0(NaN) = NaN. + * y0(Inf) = 0. + * y0(-Inf) = NaN and raise invalid exception. + */ + if(ix>=0x7ff00000) return vone/(x+x*x); + /* y0(+-0) = -inf and raise divide-by-zero exception. */ + if((ix|lx)==0) return -one/vzero; + /* y0(x<0) = NaN and raise invalid exception. */ + if(hx<0) return vzero/vzero; if(ix >= 0x40000000) { /* |x| >= 2.0 */ /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0)) * where x0 = x-pi/4 @@ -268,7 +276,8 @@ static const double pS2[5] = { 1.46576176948256193810e+01, /* 0x402D50B3, 0x44391809 */ }; - static double pzero(double x) +static __inline double +pzero(double x) { const double *p,*q; double z,r,s; @@ -278,7 +287,7 @@ static const double pS2[5] = { if(ix>=0x40200000) {p = pR8; q= pS8;} else if(ix>=0x40122E8B){p = pR5; q= pS5;} else if(ix>=0x4006DB6D){p = pR3; q= pS3;} - else if(ix>=0x40000000){p = pR2; q= pS2;} + else {p = pR2; q= pS2;} /* ix>=0x40000000 */ 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])))); @@ -363,7 +372,8 @@ static const double qS2[6] = { -5.31095493882666946917e+00, /* 0xC0153E6A, 0xF8B32931 */ }; - static double qzero(double x) +static __inline double +qzero(double x) { const double *p,*q; double s,r,z; @@ -373,7 +383,7 @@ static const double qS2[6] = { if(ix>=0x40200000) {p = qR8; q= qS8;} else if(ix>=0x40122E8B){p = qR5; q= qS5;} else if(ix>=0x4006DB6D){p = qR3; q= qS3;} - else if(ix>=0x40000000){p = qR2; q= qS2;} + else {p = qR2; q= qS2;} /* ix>=0x40000000 */ 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]))))); |
