From 8b1fadd6a89f12cbc81c5d621a75b91dd9eedec2 Mon Sep 17 00:00:00 2001 From: Pixel Date: Sat, 5 Feb 2011 11:06:07 -0800 Subject: Adding Sun's fdlibm, and libnix's scanf, tweaked to become an xscanf. Adding a few more libc inlined also. --- libm/src/s_cbrt.c | 87 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 87 insertions(+) create mode 100644 libm/src/s_cbrt.c (limited to 'libm/src/s_cbrt.c') diff --git a/libm/src/s_cbrt.c b/libm/src/s_cbrt.c new file mode 100644 index 0000000..734e01c --- /dev/null +++ b/libm/src/s_cbrt.c @@ -0,0 +1,87 @@ + +/* @(#)s_cbrt.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + * + */ + +#include "fdlibm.h" + +/* cbrt(x) + * Return cube root of x + */ +#ifdef __STDC__ +static const unsigned +#else +static unsigned +#endif + B1 = 715094163, /* B1 = (682-0.03306235651)*2**20 */ + B2 = 696219795; /* B2 = (664-0.03306235651)*2**20 */ + +#ifdef __STDC__ +static const double +#else +static double +#endif +C = 5.42857142857142815906e-01, /* 19/35 = 0x3FE15F15, 0xF15F15F1 */ +D = -7.05306122448979611050e-01, /* -864/1225 = 0xBFE691DE, 0x2532C834 */ +E = 1.41428571428571436819e+00, /* 99/70 = 0x3FF6A0EA, 0x0EA0EA0F */ +F = 1.60714285714285720630e+00, /* 45/28 = 0x3FF9B6DB, 0x6DB6DB6E */ +G = 3.57142857142857150787e-01; /* 5/14 = 0x3FD6DB6D, 0xB6DB6DB7 */ + +#ifdef __STDC__ + double cbrt(double x) +#else + double cbrt(x) + double x; +#endif +{ + int hx; + double r,s,t=0.0,w; + unsigned sign; + + + hx = __HI(x); /* high word of x */ + sign=hx&0x80000000; /* sign= sign(x) */ + hx ^=sign; + if(hx>=0x7ff00000) return(x+x); /* cbrt(NaN,INF) is itself */ + if((hx|__LO(x))==0) + return(x); /* cbrt(0) is itself */ + + __HI(x) = hx; /* x <- |x| */ + /* rough cbrt to 5 bits */ + if(hx<0x00100000) /* subnormal number */ + {__HI(t)=0x43500000; /* set t= 2**54 */ + t*=x; __HI(t)=__HI(t)/3+B2; + } + else + __HI(t)=hx/3+B1; + + + /* new cbrt to 23 bits, may be implemented in single precision */ + r=t*t/x; + s=C+r*t; + t*=G+F/(s+E+D/s); + + /* chopped to 20 bits and make it larger than cbrt(x) */ + __LO(t)=0; __HI(t)+=0x00000001; + + + /* one step newton iteration to 53 bits with error less than 0.667 ulps */ + s=t*t; /* t*t is exact */ + r=x/s; + w=t+t; + r=(r-t)/(w+r); /* r-s is exact */ + t=t+t*r; + + /* retore the sign bit */ + __HI(t) |= sign; + return(t); +} -- cgit v1.2.3