1 /* IEEE floating point support routines, for GDB, the GNU Debugger.
2 Copyright (C) 1991 Free Software Foundation, Inc.
4 This file is part of GDB.
6 This program is free software; you can redistribute it and/or modify
7 it under the terms of the GNU General Public License as published by
8 the Free Software Foundation; either version 2 of the License, or
9 (at your option) any later version.
11 This program is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 GNU General Public License for more details.
16 You should have received a copy of the GNU General Public License
17 along with this program; if not, write to the Free Software
18 Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. */
22 #include "ieee-float.h"
23 #include <math.h> /* ldexp */
25 /* Convert an IEEE extended float to a double.
26 FROM is the address of the extended float.
27 Store the double in *TO. */
30 ieee_extended_to_double (ext_format, from, to)
31 struct ext_format *ext_format;
35 unsigned char *ufrom = (unsigned char *)from;
37 unsigned long mant0, mant1, exponent;
39 bcopy (&from[MANBYTE_H], &mant0, 4);
40 bcopy (&from[MANBYTE_L], &mant1, 4);
41 exponent = ((ufrom[EXPBYTE_H] & (unsigned char)~SIGNMASK) << 8) | ufrom[EXPBYTE_L];
44 /* We can't do anything useful with a NaN anyway, so ignore its
45 difference. It will end up as Infinity or something close. */
46 if (exponent == EXT_EXP_NAN) {
47 /* We have a NaN source. */
48 dto = 0.123456789; /* Not much else useful to do -- we don't know if
49 the host system even *has* NaNs, nor how to
50 generate an innocuous one if it does. */
53 if (exponent == 0 && mant0 == 0 && mant1 == 0) {
56 /* Build the result algebraically. Might go infinite, underflow, etc;
59 dto = ldexp ((double)mant0, exponent - EXT_EXP_BIAS - 31);
60 dto += ldexp ((double)mant1, exponent - EXT_EXP_BIAS - 31 - 32);
61 if (ufrom[EXPBYTE_H] & SIGNMASK) /* If negative... */
62 dto = -dto; /* ...negate. */
67 /* The converse: convert the double *FROM to an extended float
68 and store where TO points. */
71 double_to_ieee_extended (ext_format, from, to)
72 struct ext_format *ext_format;
77 unsigned long twolongs[2];
78 unsigned long mant0, mant1, exponent;
79 unsigned char tobytes[8];
81 bzero (to, TOTALSIZE);
83 return; /* Result is zero */
86 to[EXPBYTE_H] = (unsigned char)(EXT_EXP_NAN >> 8);
87 to[EXPBYTE_L] = (unsigned char)EXT_EXP_NAN;
88 to[MANBYTE_H] = 1; /* Be sure it's not infinity, but NaN value is irrel */
89 return; /* Result is NaN */
92 to[SIGNBYTE] |= SIGNMASK; /* Set negative sign */
93 /* How to tell an infinity from an ordinary number? FIXME-someday */
95 /* The following code assumes that the host has IEEE doubles. FIXME-someday.
96 It also assumes longs are 32 bits! FIXME-someday. */
97 bcopy (from, twolongs, 8);
98 bcopy (from, tobytes, 8);
99 #if HOST_BYTE_ORDER == BIG_ENDIAN
100 exponent = ((tobytes[1] & 0xF0) >> 4) | (tobytes[0] & 0x7F) << 4;
101 mant0 = (twolongs[0] << 11) | twolongs[1] >> 21;
102 mant1 = (twolongs[1] << 11);
104 exponent = ((tobytes[6] & 0xF0) >> 4) | (tobytes[7] & 0x7F) << 4;
105 mant0 = (twolongs[1] << 11) | twolongs[0] >> 21;
106 mant1 = (twolongs[0] << 11);
109 /* Fiddle with leading 1-bit, implied in double, explicit in extended. */
115 exponent -= DBL_EXP_BIAS; /* Get integer exp */
116 exponent += EXT_EXP_BIAS; /* Offset for extended */
118 /* OK, now store it in extended format. */
119 to[EXPBYTE_H] |= (unsigned char)(exponent >> 8); /* Retain sign */
120 to[EXPBYTE_L] = (unsigned char) exponent;
122 bcopy (&mant0, &to[MANBYTE_H], 4);
123 bcopy (&mant1, &to[MANBYTE_L], 4);
129 /* Test some numbers to see that extended/double conversion works for them. */
134 union { double d; int i[2]; } di;
138 extern struct ext_format ext_format_68881;
140 for (i = 0; i < n; i++) {
141 di.i[0] = (random() << 16) | (random() & 0xffff);
142 di.i[1] = (random() << 16) | (random() & 0xffff);
143 double_to_ieee_extended (&ext_format_68881, &di.d, exten);
144 ieee_extended_to_double (&ext_format_68881, exten, &result);
146 printf ("Differ: %x %x %g => %x %x %g\n", di.d, di.d, result, result);