xref: /freebsd/lib/libc/gen/modf.c (revision dc36d6f9bb1753f3808552f3afd30eda9a7b206a)
1 /*
2  * ====================================================
3  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4  *
5  * Developed at SunPro, a Sun Microsystems, Inc. business.
6  * Permission to use, copy, modify, and distribute this
7  * software is freely granted, provided that this notice
8  * is preserved.
9  * ====================================================
10  */
11 
12 /*
13  * modf(double x, double *iptr)
14  * return fraction part of x, and return x's integral part in *iptr.
15  * Method:
16  *	Bit twiddling.
17  *
18  * Exception:
19  *	No exception.
20  */
21 
22 #include <sys/types.h>
23 #include <machine/endian.h>
24 #include <math.h>
25 
26 /* Bit fiddling routines copied from msun/src/math_private.h,v 1.15 */
27 
28 #if BYTE_ORDER == BIG_ENDIAN
29 
30 typedef union
31 {
32   double value;
33   struct
34   {
35     u_int32_t msw;
36     u_int32_t lsw;
37   } parts;
38 } ieee_double_shape_type;
39 
40 #endif
41 
42 #if BYTE_ORDER == LITTLE_ENDIAN
43 
44 typedef union
45 {
46   double value;
47   struct
48   {
49     u_int32_t lsw;
50     u_int32_t msw;
51   } parts;
52 } ieee_double_shape_type;
53 
54 #endif
55 
56 /* Get two 32 bit ints from a double.  */
57 
58 #define EXTRACT_WORDS(ix0,ix1,d)				\
59 do {								\
60   ieee_double_shape_type ew_u;					\
61   ew_u.value = (d);						\
62   (ix0) = ew_u.parts.msw;					\
63   (ix1) = ew_u.parts.lsw;					\
64 } while (0)
65 
66 /* Get the more significant 32 bit int from a double.  */
67 
68 #define GET_HIGH_WORD(i,d)					\
69 do {								\
70   ieee_double_shape_type gh_u;					\
71   gh_u.value = (d);						\
72   (i) = gh_u.parts.msw;						\
73 } while (0)
74 
75 /* Set a double from two 32 bit ints.  */
76 
77 #define INSERT_WORDS(d,ix0,ix1)					\
78 do {								\
79   ieee_double_shape_type iw_u;					\
80   iw_u.parts.msw = (ix0);					\
81   iw_u.parts.lsw = (ix1);					\
82   (d) = iw_u.value;						\
83 } while (0)
84 
85 static const double one = 1.0;
86 
87 double
modf(double x,double * iptr)88 modf(double x, double *iptr)
89 {
90 	int32_t i0,i1,j0;
91 	u_int32_t i;
92 	EXTRACT_WORDS(i0,i1,x);
93 	j0 = ((i0>>20)&0x7ff)-0x3ff;	/* exponent of x */
94 	if(j0<20) {			/* integer part in high x */
95 	    if(j0<0) {			/* |x|<1 */
96 	        INSERT_WORDS(*iptr,i0&0x80000000,0);	/* *iptr = +-0 */
97 		return x;
98 	    } else {
99 		i = (0x000fffff)>>j0;
100 		if(((i0&i)|i1)==0) {		/* x is integral */
101 		    u_int32_t high;
102 		    *iptr = x;
103 		    GET_HIGH_WORD(high,x);
104 		    INSERT_WORDS(x,high&0x80000000,0);	/* return +-0 */
105 		    return x;
106 		} else {
107 		    INSERT_WORDS(*iptr,i0&(~i),0);
108 		    return x - *iptr;
109 		}
110 	    }
111 	} else if (j0>51) {		/* no fraction part */
112 	    u_int32_t high;
113 	    if (j0 == 0x400) {		/* inf/NaN */
114 		*iptr = x;
115 		return 0.0 / x;
116 	    }
117 	    *iptr = x*one;
118 	    GET_HIGH_WORD(high,x);
119 	    INSERT_WORDS(x,high&0x80000000,0);	/* return +-0 */
120 	    return x;
121 	} else {			/* fraction part in low x */
122 	    i = ((u_int32_t)(0xffffffff))>>(j0-20);
123 	    if((i1&i)==0) { 		/* x is integral */
124 	        u_int32_t high;
125 		*iptr = x;
126 		GET_HIGH_WORD(high,x);
127 		INSERT_WORDS(x,high&0x80000000,0);	/* return +-0 */
128 		return x;
129 	    } else {
130 	        INSERT_WORDS(*iptr,i0,i1&(~i));
131 		return x - *iptr;
132 	    }
133 	}
134 }
135