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+/*
+ * Copyright (c) 1989, 1993
+ * The Regents of the University of California. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * This product includes software developed by the University of
+ * California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#ifndef lint
+static char sccsid[] = "@(#)fmod.c 8.1 (Berkeley) 6/4/93";
+#endif /* not lint */
+
+/* fmod.c
+ *
+ * SYNOPSIS
+ *
+ * #include <math.h>
+ * double fmod(double x, double y)
+ *
+ * DESCRIPTION
+ *
+ * The fmod function computes the floating-point remainder of x/y.
+ *
+ * RETURNS
+ *
+ * The fmod function returns the value x-i*y, for some integer i
+ * such that, if y is nonzero, the result has the same sign as x and
+ * magnitude less than the magnitude of y.
+ *
+ * On a VAX or CCI,
+ *
+ * fmod(x,0) traps/faults on floating-point divided-by-zero.
+ *
+ * On IEEE-754 conforming machines with "isnan()" primitive,
+ *
+ * fmod(x,0), fmod(INF,y) are invalid operations and NaN is returned.
+ *
+ */
+#if !defined(vax) && !defined(tahoe)
+extern int isnan(),finite();
+#endif /* !defined(vax) && !defined(tahoe) */
+extern double frexp(),ldexp(),fabs();
+
+#ifdef TEST_FMOD
+static double
+_fmod(x,y)
+#else /* TEST_FMOD */
+double
+fmod(x,y)
+#endif /* TEST_FMOD */
+double x,y;
+{
+ int ir,iy;
+ double r,w;
+
+ if (y == (double)0
+#if !defined(vax) && !defined(tahoe) /* per "fmod" manual entry, SunOS 4.0 */
+ || isnan(y) || !finite(x)
+#endif /* !defined(vax) && !defined(tahoe) */
+ )
+ return (x*y)/(x*y);
+
+ r = fabs(x);
+ y = fabs(y);
+ (void)frexp(y,&iy);
+ while (r >= y) {
+ (void)frexp(r,&ir);
+ w = ldexp(y,ir-iy);
+ r -= w <= r ? w : w*(double)0.5;
+ }
+ return x >= (double)0 ? r : -r;
+}
+
+#ifdef TEST_FMOD
+extern long random();
+extern double fmod();
+
+#define NTEST 10000
+#define NCASES 3
+
+static int nfail = 0;
+
+static void
+doit(x,y)
+double x,y;
+{
+ double ro = fmod(x,y),rn = _fmod(x,y);
+ if (ro != rn) {
+ (void)printf(" x = 0x%08.8x %08.8x (%24.16e)\n",x,x);
+ (void)printf(" y = 0x%08.8x %08.8x (%24.16e)\n",y,y);
+ (void)printf(" fmod = 0x%08.8x %08.8x (%24.16e)\n",ro,ro);
+ (void)printf("_fmod = 0x%08.8x %08.8x (%24.16e)\n",rn,rn);
+ (void)printf("\n");
+ }
+}
+
+main()
+{
+ register int i,cases;
+ double x,y;
+
+ srandom(12345);
+ for (i = 0; i < NTEST; i++) {
+ x = (double)random();
+ y = (double)random();
+ for (cases = 0; cases < NCASES; cases++) {
+ switch (cases) {
+ case 0:
+ break;
+ case 1:
+ y = (double)1/y; break;
+ case 2:
+ x = (double)1/x; break;
+ default:
+ abort(); break;
+ }
+ doit(x,y);
+ doit(x,-y);
+ doit(-x,y);
+ doit(-x,-y);
+ }
+ }
+ if (nfail)
+ (void)printf("Number of failures: %d (out of a total of %d)\n",
+ nfail,NTEST*NCASES*4);
+ else
+ (void)printf("No discrepancies were found\n");
+ exit(0);
+}
+#endif /* TEST_FMOD */