ef_sqrt.c
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上传日期:2013-10-25
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文件大小:2k
- /* ef_sqrtf.c -- float version of e_sqrt.c.
- * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
- */
- /*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * Developed at SunPro, 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"
- #ifdef __STDC__
- static const float one = 1.0, tiny=1.0e-30;
- #else
- static float one = 1.0, tiny=1.0e-30;
- #endif
- #ifdef __STDC__
- float __ieee754_sqrtf(float x)
- #else
- float __ieee754_sqrtf(x)
- float x;
- #endif
- {
- float z;
- __int32_t sign = (__int32_t)0x80000000;
- __uint32_t r;
- __int32_t ix,s,q,m,t,i;
- GET_FLOAT_WORD(ix,x);
- /* take care of Inf and NaN */
- if((ix&0x7f800000L)==0x7f800000L) {
- return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
- sqrt(-inf)=sNaN */
- }
- /* take care of zero */
- if(ix<=0) {
- if((ix&(~sign))==0) return x;/* sqrt(+-0) = +-0 */
- else if(ix<0)
- return (x-x)/(x-x); /* sqrt(-ve) = sNaN */
- }
- /* normalize x */
- m = (ix>>23);
- if(m==0) { /* subnormal x */
- for(i=0;(ix&0x00800000L)==0;i++) ix<<=1;
- m -= i-1;
- }
- m -= 127; /* unbias exponent */
- ix = (ix&0x007fffffL)|0x00800000L;
- if(m&1) /* odd m, double x to make it even */
- ix += ix;
- m >>= 1; /* m = [m/2] */
- /* generate sqrt(x) bit by bit */
- ix += ix;
- q = s = 0; /* q = sqrt(x) */
- r = 0x01000000L; /* r = moving bit from right to left */
- while(r!=0) {
- t = s+r;
- if(t<=ix) {
- s = t+r;
- ix -= t;
- q += r;
- }
- ix += ix;
- r>>=1;
- }
- /* use floating add to find out rounding direction */
- if(ix!=0) {
- z = one-tiny; /* trigger inexact flag */
- if (z>=one) {
- z = one+tiny;
- if (z>one)
- q += 2;
- else
- q += (q&1);
- }
- }
- ix = (q>>1)+0x3f000000L;
- ix += (m <<23);
- SET_FLOAT_WORD(z,ix);
- return z;
- }