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authorZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
committerZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
commit5046dbb4a7eba5eccfd258f92f4735c9ffc8d069 (patch)
tree4470480d904b65cf14ca524f96f79eca818c3eaf /REORG.TODO/sysdeps/ieee754/dbl-64/e_fmod.c
parent199fc19d3aaaf57944ef036e15904febe877fc93 (diff)
downloadglibc-zack/build-layout-experiment.tar.gz
Prepare for radical source tree reorganization.zack/build-layout-experiment
All top-level files and directories are moved into a temporary storage directory, REORG.TODO, except for files that will certainly still exist in their current form at top level when we're done (COPYING, COPYING.LIB, LICENSES, NEWS, README), all old ChangeLog files (which are moved to the new directory OldChangeLogs, instead), and the generated file INSTALL (which is just deleted; in the new order, there will be no generated files checked into version control).
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+/*
+ * ====================================================
+ * 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.
+ * ====================================================
+ */
+
+/*
+ * __ieee754_fmod(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include <math.h>
+#include <math_private.h>
+
+static const double one = 1.0, Zero[] = { 0.0, -0.0, };
+
+double
+__ieee754_fmod (double x, double y)
+{
+ int32_t n, hx, hy, hz, ix, iy, sx, i;
+ u_int32_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))
+ return x; /* |x|<|y| return x */
+ if (lx == ly)
+ return Zero[(u_int32_t) sx >> 31]; /* |x|=|y| return x*0*/
+ }
+
+ /* determine ix = ilogb(x) */
+ if (__glibc_unlikely (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 (__glibc_unlikely (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 (__glibc_likely (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 (__glibc_likely (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[(u_int32_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[(u_int32_t) sx >> 31];
+ while (hx < 0x00100000) /* normalize x */
+ {
+ hx = hx + hx + (lx >> 31); lx = lx + lx;
+ iy -= 1;
+ }
+ if (__glibc_likely (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) | ((u_int32_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 */
+}
+strong_alias (__ieee754_fmod, __fmod_finite)