summaryrefslogtreecommitdiff
path: root/src/math/remainder.c
diff options
context:
space:
mode:
Diffstat (limited to 'src/math/remainder.c')
-rw-r--r--src/math/remainder.c70
1 files changed, 70 insertions, 0 deletions
diff --git a/src/math/remainder.c b/src/math/remainder.c
new file mode 100644
index 00000000..db176c88
--- /dev/null
+++ b/src/math/remainder.c
@@ -0,0 +1,70 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/e_remainder.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.
+ * ====================================================
+ */
+/* remainder(x,p)
+ * Return :
+ * returns x REM p = x - [x/p]*p as if in infinite
+ * precise arithmetic, where [x/p] is the (infinite bit)
+ * integer nearest x/p (in half way case choose the even one).
+ * Method :
+ * Based on fmod() return x-[x/p]chopped*p exactlp.
+ */
+
+#include "libm.h"
+
+static const double zero = 0.0;
+
+double remainder(double x, double p)
+{
+ int32_t hx,hp;
+ uint32_t sx,lx,lp;
+ double p_half;
+
+ EXTRACT_WORDS(hx, lx, x);
+ EXTRACT_WORDS(hp, lp, p);
+ sx = hx & 0x80000000;
+ hp &= 0x7fffffff;
+ hx &= 0x7fffffff;
+
+ /* purge off exception values */
+ if ((hp|lp) == 0) /* p = 0 */
+ return (x*p)/(x*p);
+ if (hx >= 0x7ff00000 || /* x not finite */
+ (hp >= 0x7ff00000 && (hp-0x7ff00000 | lp) != 0)) /* p is NaN */
+ // FIXME: why long double?
+ return ((long double)x*p)/((long double)x*p);
+
+ if (hp <= 0x7fdfffff)
+ x = fmod(x, p+p); /* now x < 2p */
+ if (((hx-hp)|(lx-lp)) == 0)
+ return zero*x;
+ x = fabs(x);
+ p = fabs(p);
+ if (hp < 0x00200000) {
+ if (x + x > p) {
+ x -= p;
+ if (x + x >= p)
+ x -= p;
+ }
+ } else {
+ p_half = 0.5*p;
+ if (x > p_half) {
+ x -= p;
+ if (x >= p_half)
+ x -= p;
+ }
+ }
+ GET_HIGH_WORD(hx, x);
+ if ((hx&0x7fffffff) == 0)
+ hx = 0;
+ SET_HIGH_WORD(x, hx^sx);
+ return x;
+}