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-rw-r--r--src/math/fmod.c146
1 files changed, 146 insertions, 0 deletions
diff --git a/src/math/fmod.c b/src/math/fmod.c
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+/* 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 */
+}