diff options
Diffstat (limited to 'src/math/ef_sqrt.c')
| -rw-r--r-- | src/math/ef_sqrt.c | 89 | 
1 files changed, 89 insertions, 0 deletions
| diff --git a/src/math/ef_sqrt.c b/src/math/ef_sqrt.c new file mode 100644 index 00000000..80e7f360 --- /dev/null +++ b/src/math/ef_sqrt.c @@ -0,0 +1,89 @@ +/* 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; +	__uint32_t r,hx; +	__int32_t ix,s,q,m,t,i; + +	GET_FLOAT_WORD(ix,x); +	hx = ix&0x7fffffff; + +    /* take care of Inf and NaN */ +	if(!FLT_UWORD_IS_FINITE(hx)) +	    return x*x+x;		/* sqrt(NaN)=NaN, sqrt(+inf)=+inf +					   sqrt(-inf)=sNaN */ +    /* take care of zero and -ves */ +	if(FLT_UWORD_IS_ZERO(hx)) return x;/* sqrt(+-0) = +-0 */ +	if(ix<0) return (x-x)/(x-x);		/* sqrt(-ve) = sNaN */ + +    /* normalize x */ +	m = (ix>>23); +	if(FLT_UWORD_IS_SUBNORMAL(hx)) {		/* 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; +} | 
