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+/*
+ * Copyright (c) 1994, 1995 Carnegie-Mellon University.
+ * All rights reserved.
+ *
+ * Author: Chris G. Demetriou
+ *
+ * Permission to use, copy, modify and distribute this software and
+ * its documentation is hereby granted, provided that both the copyright
+ * notice and this permission notice appear in all copies of the
+ * software, derivative works or modified versions, and any portions
+ * thereof, and that both notices appear in supporting documentation.
+ *
+ * CARNEGIE MELLON ALLOWS FREE USE OF THIS SOFTWARE IN ITS "AS IS"
+ * CONDITION. CARNEGIE MELLON DISCLAIMS ANY LIABILITY OF ANY KIND
+ * FOR ANY DAMAGES WHATSOEVER RESULTING FROM THE USE OF THIS SOFTWARE.
+ *
+ * Carnegie Mellon requests users of this software to return to
+ *
+ * Software Distribution Coordinator or Software.Distribution@CS.CMU.EDU
+ * School of Computer Science
+ * Carnegie Mellon University
+ * Pittsburgh PA 15213-3890
+ *
+ * any improvements or extensions that they make and grant Carnegie the
+ * rights to redistribute these changes.
+ *
+ * $NetBSD: modf.c,v 1.1 1995/02/10 17:50:25 cgd Exp $
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <sys/types.h>
+#include <errno.h>
+#include <math.h>
+#include <machine/ieee.h>
+
+/*
+ * double modf(double val, double *iptr)
+ * returns: f and i such that |f| < 1.0, (f + i) = val, and
+ * sign(f) == sign(i) == sign(val).
+ *
+ * Beware signedness when doing subtraction, and also operand size!
+ */
+double
+modf(val, iptr)
+ double val, *iptr;
+{
+ union doub {
+ double v;
+ struct ieee_double s;
+ } u, v;
+ u_int64_t frac;
+
+ /*
+ * If input is Inf or NaN, return it and leave i alone.
+ */
+ u.v = val;
+ if (u.s.dbl_exp == DBL_EXP_INFNAN)
+ return (u.v);
+
+ /*
+ * If input can't have a fractional part, return
+ * (appropriately signed) zero, and make i be the input.
+ */
+ if ((int)u.s.dbl_exp - DBL_EXP_BIAS > DBL_FRACBITS - 1) {
+ *iptr = u.v;
+ v.v = 0.0;
+ v.s.dbl_sign = u.s.dbl_sign;
+ return (v.v);
+ }
+
+ /*
+ * If |input| < 1.0, return it, and set i to the appropriately
+ * signed zero.
+ */
+ if (u.s.dbl_exp < DBL_EXP_BIAS) {
+ v.v = 0.0;
+ v.s.dbl_sign = u.s.dbl_sign;
+ *iptr = v.v;
+ return (u.v);
+ }
+
+ /*
+ * There can be a fractional part of the input.
+ * If you look at the math involved for a few seconds, it's
+ * plain to see that the integral part is the input, with the
+ * low (DBL_FRACBITS - (exponent - DBL_EXP_BIAS)) bits zeroed,
+ * the the fractional part is the part with the rest of the
+ * bits zeroed. Just zeroing the high bits to get the
+ * fractional part would yield a fraction in need of
+ * normalization. Therefore, we take the easy way out, and
+ * just use subtraction to get the fractional part.
+ */
+ v.v = u.v;
+ /* Zero the low bits of the fraction, the sleazy way. */
+ frac = ((u_int64_t)v.s.dbl_frach << 32) + v.s.dbl_fracl;
+ frac >>= DBL_FRACBITS - (u.s.dbl_exp - DBL_EXP_BIAS);
+ frac <<= DBL_FRACBITS - (u.s.dbl_exp - DBL_EXP_BIAS);
+ v.s.dbl_fracl = frac & 0xffffffff;
+ v.s.dbl_frach = frac >> 32;
+ *iptr = v.v;
+
+ u.v -= v.v;
+ u.s.dbl_sign = v.s.dbl_sign;
+ return (u.v);
+}