diff options
Diffstat (limited to 'sysdeps/ieee754/dbl-64')
| -rw-r--r-- | sysdeps/ieee754/dbl-64/e_asin.c | 76 |
1 files changed, 15 insertions, 61 deletions
diff --git a/sysdeps/ieee754/dbl-64/e_asin.c b/sysdeps/ieee754/dbl-64/e_asin.c index eac3d27fda..8a3b26f664 100644 --- a/sysdeps/ieee754/dbl-64/e_asin.c +++ b/sysdeps/ieee754/dbl-64/e_asin.c @@ -25,12 +25,6 @@ /* doasin.c sincos32.c dosincos.c mpa.c */ /* sincos.tbl asincos.tbl powtwo.tbl root.tbl */ /* */ -/* Ultimate asin/acos routines. Given an IEEE double machine */ -/* number x, compute the correctly rounded value of */ -/* arcsin(x)or arccos(x) according to the function called. */ -/* Assumption: Machine arithmetic operations are performed in */ -/* round to nearest mode of IEEE 754 standard. */ -/* */ /******************************************************************/ #include "endian.h" #include "mydefs.h" @@ -53,13 +47,7 @@ void __doasin(double x, double dx, double w[]); void __dubsin(double x, double dx, double v[]); void __dubcos(double x, double dx, double v[]); void __docos(double x, double dx, double v[]); -double __sin32(double x, double res, double res1); -double __cos32(double x, double res, double res1); -/***************************************************************************/ -/* An ultimate asin routine. Given an IEEE double machine number x */ -/* it computes the correctly rounded (to nearest) value of arcsin(x) */ -/***************************************************************************/ double SECTION __ieee754_asin(double x){ @@ -100,13 +88,7 @@ __ieee754_asin(double x){ if (res == res+1.00014*cor) return res; else { __doasin(x,0,w); - if (w[0]==(w[0]+1.00000001*w[1])) return w[0]; - else { - y=fabs(x); - res=fabs(w[0]); - res1=fabs(w[0]+1.1*w[1]); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); - } + return w[0]; } } } @@ -137,8 +119,7 @@ __ieee754_asin(double x){ if (z>1.0e-27) return (m>0)?min(res,res1):-min(res,res1); else if (z<-1.0e-27) return (m>0)?max(res,res1):-max(res,res1); else { - y=fabs(x); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); + return (m>0)?res:-res; } } } @@ -170,8 +151,7 @@ __ieee754_asin(double x){ if (z>1.0e-27) return (m>0)?min(res,res1):-min(res,res1); else if (z<-1.0e-27) return (m>0)?max(res,res1):-max(res,res1); else { - y=fabs(x); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); + return (m>0)?res:-res; } } } @@ -205,8 +185,7 @@ __ieee754_asin(double x){ if (z>1.0e-27) return (m>0)?min(res,res1):-min(res,res1); else if (z<-1.0e-27) return (m>0)?max(res,res1):-max(res,res1); else { - y=fabs(x); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); + return (m>0)?res:-res; } } } @@ -243,8 +222,7 @@ __ieee754_asin(double x){ if (z>1.0e-27) return (m>0)?min(res,res1):-min(res,res1); else if (z<-1.0e-27) return (m>0)?max(res,res1):-max(res,res1); else { - y=fabs(x); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); + return (m>0)?res:-res; } } } @@ -282,8 +260,7 @@ __ieee754_asin(double x){ if (z>1.0e-27) return (m>0)?min(res,res1):-min(res,res1); else if (z<-1.0e-27) return (m>0)?max(res,res1):-max(res,res1); else { - y=fabs(x); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); + return (m>0)?res:-res; } } } @@ -313,13 +290,7 @@ __ieee754_asin(double x){ res1=hp0.x-2.0*w[0]; cor=((hp0.x-res1)-2.0*w[0])+(hp1.x-2.0*w[1]); res = res1+cor; - cor = (res1-res)+cor; - if (res==(res+1.0000001*cor)) return (m>0)?res:-res; - else { - y=fabs(x); - res1=res+1.1*cor; - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); - } + return (m>0)?res:-res; } } /* else if (k < 0x3ff00000) */ /*---------------------------- |x|>=1 -------------------------------*/ @@ -388,12 +359,7 @@ __ieee754_acos(double x) r=hp0.x-w[0]; cor=((hp0.x-r)-w[0])+(hp1.x-w[1]); res=r+cor; - cor=(r-res)+cor; - if (res ==(res +1.00000001*cor)) return res; - else { - res1=res+1.1*cor; - return __cos32(x,res,res1); - } + return res; } } } /* else if (k < 0x3fc00000) */ @@ -429,7 +395,7 @@ __ieee754_acos(double x) z=(w[0]-x)+w[1]; if (z>1.0e-27) return max(res,res1); else if (z<-1.0e-27) return min(res,res1); - else return __cos32(x,res,res1); + else return res; } } } /* else if (k < 0x3fe00000) */ @@ -464,7 +430,7 @@ __ieee754_acos(double x) z=(w[0]-x)+w[1]; if (z>1.0e-27) return max(res,res1); else if (z<-1.0e-27) return min(res,res1); - else return __cos32(x,res,res1); + else return res; } } } /* else if (k < 0x3fe80000) */ @@ -499,7 +465,7 @@ __ieee754_acos(double x) z=(w[0]-x)+w[1]; if (z>1.0e-27) return max(res,res1); else if (z<-1.0e-27) return min(res,res1); - else return __cos32(x,res,res1); + else return res; } } } /* else if (k < 0x3fed8000) */ @@ -535,7 +501,7 @@ __ieee754_acos(double x) z=(w[0]-x)+w[1]; if (z>1.0e-27) return max(res,res1); else if (z<-1.0e-27) return min(res,res1); - else return __cos32(x,res,res1); + else return res; } } } /* else if (k < 0x3fee8000) */ @@ -571,7 +537,7 @@ __ieee754_acos(double x) z=(w[0]-x)+w[1]; if (z>1.0e-27) return max(res,res1); else if (z<-1.0e-27) return min(res,res1); - else return __cos32(x,res,res1); + else return res; } } } /* else if (k < 0x3fef0000) */ @@ -602,13 +568,7 @@ __ieee754_acos(double x) res1=hp0.x-w[0]; cor=((hp0.x-res1)-w[0])+(hp1.x-w[1]); res = res1+cor; - cor = (res1-res)+cor; - if (res==(res+1.000001*cor)) return (res+res); - else { - res=res+res; - res1=res+1.2*cor; - return __cos32(x,res,res1); - } + return (res+res); } } else { @@ -620,13 +580,7 @@ __ieee754_acos(double x) cc=(y-c)+cc; __doasin(c,cc,w); res = w[0]; - cor=w[1]; - if (res==(res+1.000001*cor)) return (res+res); - else { - res=res+res; - res1=res+1.2*cor; - return __cos32(x,res,res1); - } + return (res+res); } } } /* else if (k < 0x3ff00000) */ |