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Diffstat (limited to 'src/math/remquof.c')
-rw-r--r-- | src/math/remquof.c | 125 |
1 files changed, 125 insertions, 0 deletions
diff --git a/src/math/remquof.c b/src/math/remquof.c new file mode 100644 index 00000000..11569ce8 --- /dev/null +++ b/src/math/remquof.c @@ -0,0 +1,125 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/s_remquof.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. + * ==================================================== + */ +/* + * Return the IEEE remainder and set *quo to the last n bits of the + * quotient, rounded to the nearest integer. We choose n=31 because + * we wind up computing all the integer bits of the quotient anyway as + * a side-effect of computing the remainder by the shift and subtract + * method. In practice, this is far more bits than are needed to use + * remquo in reduction algorithms. + */ + +#include "libm.h" + +static const float Zero[] = {0.0, -0.0,}; + +float remquof(float x, float y, int *quo) +{ + int32_t n,hx,hy,hz,ix,iy,sx,i; + uint32_t q,sxy; + + GET_FLOAT_WORD(hx, x); + GET_FLOAT_WORD(hy, y); + sxy = (hx ^ hy) & 0x80000000; + sx = hx & 0x80000000; /* sign of x */ + hx ^= sx; /* |x| */ + hy &= 0x7fffffff; /* |y| */ + + /* purge off exception values */ + if (hy == 0 || hx >= 0x7f800000 || hy > 0x7f800000) /* y=0,NaN;or x not finite */ + return (x*y)/(x*y); + if (hx < hy) { /* |x| < |y| return x or x-y */ + q = 0; + goto fixup; + } else if(hx==hy) { /* |x| = |y| return x*0*/ + *quo = 1; + return Zero[(uint32_t)sx>>31]; + } + + /* determine ix = ilogb(x) */ + if (hx < 0x00800000) { /* subnormal x */ + for (ix = -126, i=hx<<8; i>0; i<<=1) ix--; + } else + ix = (hx>>23) - 127; + + /* determine iy = ilogb(y) */ + if (hy < 0x00800000) { /* subnormal y */ + for (iy = -126, i=hy<<8; i>0; i<<=1) iy--; + } else + iy = (hy>>23) - 127; + + /* set up {hx,lx}, {hy,ly} and align y to x */ + if (ix >= -126) + hx = 0x00800000|(0x007fffff&hx); + else { /* subnormal x, shift x to normal */ + n = -126 - ix; + hx <<= n; + } + if (iy >= -126) + hy = 0x00800000|(0x007fffff&hy); + else { /* subnormal y, shift y to normal */ + n = -126 - iy; + hy <<= n; + } + + /* fix point fmod */ + n = ix - iy; + q = 0; + while (n--) { + hz = hx - hy; + if (hz < 0) + hx = hx << 1; + else { + hx = hz << 1; + q++; + } + q <<= 1; + } + hz = hx - hy; + if (hz >= 0) { + hx = hz; + q++; + } + + /* convert back to floating value and restore the sign */ + if (hx == 0) { /* return sign(x)*0 */ + *quo = sxy ? -q : q; + return Zero[(uint32_t)sx>>31]; + } + while (hx < 0x00800000) { /* normalize x */ + hx <<= 1; + iy--; + } + if (iy >= -126) { /* normalize output */ + hx = (hx-0x00800000)|((iy+127)<<23); + } else { /* subnormal output */ + n = -126 - iy; + hx >>= n; + } +fixup: + SET_FLOAT_WORD(x,hx); + y = fabsf(y); + if (y < 0x1p-125f) { + if (x + x > y || (x + x == y && (q & 1))) { + q++; + x -= y; + } + } else if (x > 0.5f*y || (x == 0.5f*y && (q & 1))) { + q++; + x -= y; + } + GET_FLOAT_WORD(hx, x); + SET_FLOAT_WORD(x, hx ^ sx); + q &= 0x7fffffff; + *quo = sxy ? -q : q; + return x; +} |