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Diffstat (limited to 'src/math/fmod.c')
| -rw-r--r-- | src/math/fmod.c | 146 | 
1 files changed, 146 insertions, 0 deletions
diff --git a/src/math/fmod.c b/src/math/fmod.c new file mode 100644 index 00000000..6856844e --- /dev/null +++ b/src/math/fmod.c @@ -0,0 +1,146 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/e_fmod.c */ +/* + * ==================================================== + * 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. + * ==================================================== + */ +/* + * fmod(x,y) + * Return x mod y in exact arithmetic + * Method: shift and subtract + */ + +#include "libm.h" + +static const double one = 1.0, Zero[] = {0.0, -0.0,}; + +double fmod(double x, double y) +{ +	int32_t n,hx,hy,hz,ix,iy,sx,i; +	uint32_t lx,ly,lz; + +	EXTRACT_WORDS(hx, lx, x); +	EXTRACT_WORDS(hy, ly, y); +	sx = hx & 0x80000000;  /* sign of x */ +	hx ^= sx;              /* |x| */ +	hy &= 0x7fffffff;      /* |y| */ + +	/* purge off exception values */ +	if ((hy|ly) == 0 || hx >= 0x7ff00000 ||  /* y=0,or x not finite */ +	    (hy|((ly|-ly)>>31)) > 0x7ff00000)    /* or y is NaN */ +		return (x*y)/(x*y); +	if (hx <= hy) { +		if (hx < hy || lx < ly)  /* |x| < |y| */ +			return x; +		if (lx == ly)            /* |x| = |y|, return x*0 */ +			return Zero[(uint32_t)sx>>31]; +	} + +	/* determine ix = ilogb(x) */ +	if (hx < 0x00100000) {  /* subnormal x */ +		if (hx == 0) { +			for (ix = -1043, i = lx; i > 0; i <<= 1) +				ix -= 1; +		} else { +			for (ix = -1022, i = hx<<11; i > 0; i <<= 1) +				ix -= 1; +		} +	} else +		ix = (hx>>20) - 1023; + +	/* determine iy = ilogb(y) */ +	if (hy < 0x00100000) {  /* subnormal y */ +		if (hy == 0) { +			for (iy = -1043, i = ly; i > 0; i <<= 1) +				iy -= 1; +		} else { +			for (iy = -1022, i = hy<<11; i > 0; i <<= 1) +				iy -= 1; +		} +	} else +		iy = (hy>>20) - 1023; + +	/* set up {hx,lx}, {hy,ly} and align y to x */ +	if (ix >= -1022) +		hx = 0x00100000|(0x000fffff&hx); +	else {       /* subnormal x, shift x to normal */ +		n = -1022-ix; +		if (n <= 31) { +			hx = (hx<<n)|(lx>>(32-n)); +			lx <<= n; +		} else { +			hx = lx<<(n-32); +			lx = 0; +		} +	} +	if(iy >= -1022) +		hy = 0x00100000|(0x000fffff&hy); +	else {       /* subnormal y, shift y to normal */ +		n = -1022-iy; +		if (n <= 31) { +			hy = (hy<<n)|(ly>>(32-n)); +			ly <<= n; +		} else { +			hy = ly<<(n-32); +			ly = 0; +		} +	} + +	/* fix point fmod */ +	n = ix - iy; +	while (n--) { +		hz = hx-hy; +		lz = lx-ly; +		if (lx < ly) +			hz -= 1; +		if (hz < 0) { +			hx = hx+hx+(lx>>31); +			lx = lx+lx; +		} else { +			if ((hz|lz) == 0)   /* return sign(x)*0 */ +				return Zero[(uint32_t)sx>>31]; +			hx = hz+hz+(lz>>31); +			lx = lz+lz; +		} +	} +	hz = hx-hy; +	lz = lx-ly; +	if (lx < ly) +		hz -= 1; +	if (hz >= 0) { +		hx = hz; +		lx = lz; +	} + +	/* convert back to floating value and restore the sign */ +	if ((hx|lx) == 0)          /* return sign(x)*0 */ +		return Zero[(uint32_t)sx>>31]; +	while (hx < 0x00100000) {  /* normalize x */ +		hx = hx+hx+(lx>>31); +		lx = lx+lx; +		iy -= 1; +	} +	if (iy >= -1022) {         /* normalize output */ +		hx = ((hx-0x00100000)|((iy+1023)<<20)); +		INSERT_WORDS(x, hx|sx, lx); +	} else {                   /* subnormal output */ +		n = -1022 - iy; +		if (n <= 20) { +			lx = (lx>>n)|((uint32_t)hx<<(32-n)); +			hx >>= n; +		} else if (n <= 31) { +			lx = (hx<<(32-n))|(lx>>n); +			hx = sx; +		} else { +			lx = hx>>(n-32); hx = sx; +		} +		INSERT_WORDS(x, hx|sx, lx); +		x *= one;  /* create necessary signal */ +	} +	return x;  /* exact output */ +}  | 
