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      1 /*-
      2  * Copyright (c) 2007 David Schultz <das (at) FreeBSD.ORG>
      3  * All rights reserved.
      4  *
      5  * Redistribution and use in source and binary forms, with or without
      6  * modification, are permitted provided that the following conditions
      7  * are met:
      8  * 1. Redistributions of source code must retain the above copyright
      9  *    notice, this list of conditions and the following disclaimer.
     10  * 2. Redistributions in binary form must reproduce the above copyright
     11  *    notice, this list of conditions and the following disclaimer in the
     12  *    documentation and/or other materials provided with the distribution.
     13  *
     14  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
     15  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     16  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     17  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
     18  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     19  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     20  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     21  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     22  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     23  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     24  * SUCH DAMAGE.
     25  *
     26  * Derived from s_modf.c, which has the following Copyright:
     27  * ====================================================
     28  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
     29  *
     30  * Developed at SunPro, a Sun Microsystems, Inc. business.
     31  * Permission to use, copy, modify, and distribute this
     32  * software is freely granted, provided that this notice
     33  * is preserved.
     34  * ====================================================
     35  *
     36  * $FreeBSD: head/lib/msun/src/s_modfl.c 165855 2007-01-07 07:54:21Z das $
     37  */
     38 #include <sys/cdefs.h>
     39 __RCSID("$NetBSD: s_modfl.c,v 1.2 2024/05/15 00:02:56 riastradh Exp $");
     40 
     41 #include "namespace.h"
     42 
     43 #include <float.h>
     44 #include <math.h>
     45 #include <stdint.h>
     46 #include <machine/ieee.h>
     47 
     48 #ifdef __HAVE_LONG_DOUBLE
     49 
     50 #ifdef __weak_alias
     51 __weak_alias(modfl, _modfl)
     52 #endif
     53 
     54 #if EXT_FRACLBITS > 32
     55 #define	MASK	((uint64_t)-1)
     56 #else
     57 #define	MASK	((uint32_t)-1)
     58 #endif
     59 /* Return the last n bits of a word, representing the fractional part. */
     60 #define	GETFRAC(bits, n)	((bits) & ~(MASK << (n)))
     61 /* The number of fraction bits in manh, not counting the integer bit */
     62 #define	HIBITS	(LDBL_MANT_DIG - EXT_FRACLBITS)
     63 
     64 static const long double zero[] = { 0.0L, -0.0L };
     65 
     66 long double
     67 modfl(long double x, long double *iptr)
     68 {
     69 	union ieee_ext_u ux = { .extu_ld = x, };
     70 	int e = ux.extu_exp - LDBL_MAX_EXP + 1;
     71 
     72 	if (e < HIBITS) {			/* Integer part is in manh. */
     73 		if (e < 0) {			/* |x|<1 */
     74 			*iptr = zero[ux.extu_sign];
     75 			return (x);
     76 		} else {
     77 			if ((GETFRAC(ux.extu_frach, HIBITS - 1 - e) |
     78 			     ux.extu_fracl) == 0) {	/* X is an integer. */
     79 				*iptr = x;
     80 				return (zero[ux.extu_sign]);
     81 			} else {
     82 				/* Clear all but the top e+1 bits. */
     83 				ux.extu_frach >>= HIBITS - 1 - e;
     84 				ux.extu_frach <<= HIBITS - 1 - e;
     85 				ux.extu_fracl = 0;
     86 				*iptr = ux.extu_ld;
     87 				return (x - ux.extu_ld);
     88 			}
     89 		}
     90 	} else if (e >= LDBL_MANT_DIG - 1) {	/* x has no fraction part. */
     91 		*iptr = x;
     92 		if (x != x)			/* Handle NaNs. */
     93 			return (x);
     94 		return (zero[ux.extu_sign]);
     95 	} else {				/* Fraction part is in manl. */
     96 		if (GETFRAC(ux.extu_fracl, LDBL_MANT_DIG - 1 - e) == 0) {
     97 			/* x is integral. */
     98 			*iptr = x;
     99 			return (zero[ux.extu_sign]);
    100 		} else {
    101 			/* Clear all but the top e+1 bits. */
    102 			ux.extu_fracl >>= LDBL_MANT_DIG - 1 - e;
    103 			ux.extu_fracl <<= LDBL_MANT_DIG - 1 - e;
    104 			*iptr = ux.extu_ld;
    105 			return (x - ux.extu_ld);
    106 		}
    107 	}
    108 }
    109 #endif /* __HAVE_LONG_DOUBLE */
    110