xref: /freebsd/contrib/gdtoa/g_ddfmt.c (revision 5f4c09dd85bff675e0ca63c55ea3c517e0fddfcc)
1 /****************************************************************
2 
3 The author of this software is David M. Gay.
4 
5 Copyright (C) 1998 by Lucent Technologies
6 All Rights Reserved
7 
8 Permission to use, copy, modify, and distribute this software and
9 its documentation for any purpose and without fee is hereby
10 granted, provided that the above copyright notice appear in all
11 copies and that both that the copyright notice and this
12 permission notice and warranty disclaimer appear in supporting
13 documentation, and that the name of Lucent or any of its entities
14 not be used in advertising or publicity pertaining to
15 distribution of the software without specific, written prior
16 permission.
17 
18 LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
19 INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
20 IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
21 SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
22 WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
23 IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
24 ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
25 THIS SOFTWARE.
26 
27 ****************************************************************/
28 
29 /* Please send bug reports to David M. Gay (dmg@acm.org). */
30 
31 #include "gdtoaimp.h"
32 #include <string.h>
33 
34  char *
35 #ifdef KR_headers
36 g_ddfmt(buf, dd0, ndig, bufsize) char *buf; double *dd0; int ndig; size_t bufsize;
37 #else
38 g_ddfmt(char *buf, double *dd0, int ndig, size_t bufsize)
39 #endif
40 {
41 	FPI fpi;
42 	char *b, *s, *se;
43 	ULong *L, bits0[4], *bits, *zx;
44 	int bx, by, decpt, ex, ey, i, j, mode;
45 	Bigint *x, *y, *z;
46 	U *dd, ddx[2];
47 #ifdef Honor_FLT_ROUNDS /*{{*/
48 	int Rounding;
49 #ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */
50 	Rounding = Flt_Rounds;
51 #else /*}{*/
52 	Rounding = 1;
53 	switch(fegetround()) {
54 	  case FE_TOWARDZERO:	Rounding = 0; break;
55 	  case FE_UPWARD:	Rounding = 2; break;
56 	  case FE_DOWNWARD:	Rounding = 3;
57 	  }
58 #endif /*}}*/
59 #else /*}{*/
60 #define Rounding FPI_Round_near
61 #endif /*}}*/
62 
63 	if (bufsize < 10 || bufsize < ndig + 8)
64 		return 0;
65 
66 	dd = (U*)dd0;
67 	L = dd->L;
68 	if ((L[_0] & 0x7ff00000L) == 0x7ff00000L) {
69 		/* Infinity or NaN */
70 		if (L[_0] & 0xfffff || L[_1]) {
71  nanret:
72 			return strcp(buf, "NaN");
73 			}
74 		if ((L[2+_0] & 0x7ff00000) == 0x7ff00000) {
75 			if (L[2+_0] & 0xfffff || L[2+_1])
76 				goto nanret;
77 			if ((L[_0] ^ L[2+_0]) & 0x80000000L)
78 				goto nanret;	/* Infinity - Infinity */
79 			}
80  infret:
81 		b = buf;
82 		if (L[_0] & 0x80000000L)
83 			*b++ = '-';
84 		return strcp(b, "Infinity");
85 		}
86 	if ((L[2+_0] & 0x7ff00000) == 0x7ff00000) {
87 		L += 2;
88 		if (L[_0] & 0xfffff || L[_1])
89 			goto nanret;
90 		goto infret;
91 		}
92 	if (dval(&dd[0]) + dval(&dd[1]) == 0.) {
93 		b = buf;
94 #ifndef IGNORE_ZERO_SIGN
95 		if (L[_0] & L[2+_0] & 0x80000000L)
96 			*b++ = '-';
97 #endif
98 		*b++ = '0';
99 		*b = 0;
100 		return b;
101 		}
102 	if ((L[_0] & 0x7ff00000L) < (L[2+_0] & 0x7ff00000L)) {
103 		dval(&ddx[1]) = dval(&dd[0]);
104 		dval(&ddx[0]) = dval(&dd[1]);
105 		dd = ddx;
106 		L = dd->L;
107 		}
108 	z = d2b(dval(&dd[0]), &ex, &bx);
109 	if (dval(&dd[1]) == 0.)
110 		goto no_y;
111 	x = z;
112 	y = d2b(dval(&dd[1]), &ey, &by);
113 	if ( (i = ex - ey) !=0) {
114 		if (i > 0) {
115 			x = lshift(x, i);
116 			ex = ey;
117 			}
118 		else
119 			y = lshift(y, -i);
120 		}
121 	if ((L[_0] ^ L[2+_0]) & 0x80000000L) {
122 		z = diff(x, y);
123 		if (L[_0] & 0x80000000L)
124 			z->sign = 1 - z->sign;
125 		}
126 	else {
127 		z = sum(x, y);
128 		if (L[_0] & 0x80000000L)
129 			z->sign = 1;
130 		}
131 	Bfree(x);
132 	Bfree(y);
133  no_y:
134 	bits = zx = z->x;
135 	for(i = 0; !*zx; zx++)
136 		i += 32;
137 	i += lo0bits(zx);
138 	if (i) {
139 		rshift(z, i);
140 		ex += i;
141 		}
142 	fpi.nbits = z->wds * 32 - hi0bits(z->x[j = z->wds-1]);
143 	if (fpi.nbits < 106) {
144 		fpi.nbits = 106;
145 		if (j < 3) {
146 			for(i = 0; i <= j; i++)
147 				bits0[i] = bits[i];
148 			while(i < 4)
149 				bits0[i++] = 0;
150 			bits = bits0;
151 			}
152 		}
153 	mode = 2;
154 	if (ndig <= 0) {
155 		if (bufsize < (int)(fpi.nbits * .301029995664) + 10) {
156 			Bfree(z);
157 			return 0;
158 			}
159 		mode = 0;
160 		}
161 	fpi.emin = 1-1023-53+1;
162 	fpi.emax = 2046-1023-106+1;
163 	fpi.rounding = Rounding;
164 	fpi.sudden_underflow = 0;
165 	i = STRTOG_Normal;
166 	s = gdtoa(&fpi, ex, bits, &i, mode, ndig, &decpt, &se);
167 	b = g__fmt(buf, s, se, decpt, z->sign, bufsize);
168 	Bfree(z);
169 	return b;
170 	}
171