src/common/extended.c

   1 #include "wx/setup.h"
   2 #include <math.h>
   3
   4 #if wxUSE_APPLE_IEEE
   5
   6 /*
   7  * C O N V E R T   T O   I E E E   E X T E N D E D
   8  */
   9
  10 /* Copyright (C) 1988-1991 Apple Computer, Inc.
  11  * All rights reserved.
  12  *
  13  * Machine-independent I/O routines for IEEE floating-point numbers.
  14  *
  15  * NaN's and infinities are converted to HUGE_VAL or HUGE, which
  16  * happens to be infinity on IEEE machines.      Unfortunately, it is
  17  * impossible to preserve NaN's in a machine-independent way.
  18  * Infinities are, however, preserved on IEEE machines.
  19  *
  20  * These routines have been tested on the following machines:
  21  *    Apple Macintosh, MPW 3.1 C compiler
  22  *    Apple Macintosh, THINK C compiler
  23  *    Silicon Graphics IRIS, MIPS compiler
  24  *    Cray X/MP and Y/MP
  25  *    Digital Equipment VAX
  26  *
  27  *
  28  * Implemented by Malcolm Slaney and Ken Turkowski.
  29  *
  30  * Malcolm Slaney contributions during 1988-1990 include big- and little-
  31  * endian file I/O, conversion to and from Motorola's extended 80-bit
  32  * floating-point format, and conversions to and from IEEE single-
  33  * precision floating-point format.
  34  *
  35  * In 1991, Ken Turkowski implemented the conversions to and from
  36  * IEEE double-precision format, added more precision to the extended
  37  * conversions, and accommodated conversions involving +/- infinity,
  38  * NaN's, and denormalized numbers.
  39  */
  40
  41 #ifndef HUGE_VAL
  42 #define HUGE_VAL HUGE
  43 #endif /*HUGE_VAL*/
  44
  45 #define FloatToUnsigned(f) ((unsigned long) (((long) (f - 2147483648.0)) + 2147483647L) + 1)
  46
  47 void ConvertToIeeeExtended(double num, unsigned char *bytes)
  48 {
  49         int                             sign;
  50         int                             expon;
  51         double                  fMant, fsMant;
  52         unsigned long   hiMant, loMant;
  53
  54         if (num < 0) {
  55                 sign = 0x8000;
  56                 num *= -1;
  57         } else {
  58                 sign = 0;
  59         }
  60
  61         if (num == 0) {
  62                 expon = 0; hiMant = 0; loMant = 0;
  63         }
  64         else {
  65                 fMant = frexp(num, &expon);
  66                 if ((expon > 16384) || !(fMant < 1)) {    /* Infinity or NaN */
  67                         expon = sign|0x7FFF; hiMant = 0; loMant = 0; /* infinity */
  68                 }
  69                 else {    /* Finite */
  70                         expon += 16382;
  71                         if (expon < 0) {        /* denormalized */
  72                                 fMant = ldexp(fMant, expon);
  73                                 expon = 0;
  74                         }
  75                         expon |= sign;
  76                         fMant = ldexp(fMant, 32);
  77                         fsMant = floor(fMant);
  78                         hiMant = FloatToUnsigned(fsMant);
  79                         fMant = ldexp(fMant - fsMant, 32);
  80                         fsMant = floor(fMant);
  81                         loMant = FloatToUnsigned(fsMant);
  82                 }
  83         }
  84
  85         bytes[0] = expon >> 8;
  86         bytes[1] = expon;
  87         bytes[2] = (unsigned char) hiMant >> 24;
  88         bytes[3] = (unsigned char) hiMant >> 16;
  89         bytes[4] = (unsigned char) hiMant >> 8;
  90         bytes[5] = (unsigned char) hiMant;
  91         bytes[6] = (unsigned char) loMant >> 24;
  92         bytes[7] = (unsigned char) loMant >> 16;
  93         bytes[8] = (unsigned char) loMant >> 8;
  94         bytes[9] = (unsigned char) loMant;
  95 }
  96
  97 /*
  98  * C O N V E R T   F R O M       I E E E   E X T E N D E D
  99  */
 100
 101 /*
 102  * Copyright (C) 1988-1991 Apple Computer, Inc.
 103  * All rights reserved.
 104  *
 105  * Machine-independent I/O routines for IEEE floating-point numbers.
 106  *
 107  * NaN's and infinities are converted to HUGE_VAL or HUGE, which
 108  * happens to be infinity on IEEE machines.      Unfortunately, it is
 109  * impossible to preserve NaN's in a machine-independent way.
 110  * Infinities are, however, preserved on IEEE machines.
 111  *
 112  * These routines have been tested on the following machines:
 113  *        Apple Macintosh, MPW 3.1 C compiler
 114  *        Apple Macintosh, THINK C compiler
 115  *        Silicon Graphics IRIS, MIPS compiler
 116  *        Cray X/MP and Y/MP
 117  *        Digital Equipment VAX
 118  *
 119  *
 120  * Implemented by Malcolm Slaney and Ken Turkowski.
 121  *
 122  * Malcolm Slaney contributions during 1988-1990 include big- and little-
 123  * endian file I/O, conversion to and from Motorola's extended 80-bit
 124  * floating-point format, and conversions to and from IEEE single-
 125  * precision floating-point format.
 126  *
 127  * In 1991, Ken Turkowski implemented the conversions to and from
 128  * IEEE double-precision format, added more precision to the extended
 129  * conversions, and accommodated conversions involving +/- infinity,
 130  * NaN's, and denormalized numbers.
 131  */
 132
 133 #ifndef HUGE_VAL
 134 # define HUGE_VAL HUGE
 135 #endif /*HUGE_VAL*/
 136
 137 # define UnsignedToFloat(u) (((double) ((long) (u - 2147483647L - 1))) + 2147483648.0)
 138
 139 /****************************************************************
 140  * Extended precision IEEE floating-point conversion routine.
 141  ****************************************************************/
 142
 143 double ConvertFromIeeeExtended(const unsigned char *bytes)
 144 {
 145         double                  f;
 146         int                             expon;
 147         unsigned long   hiMant, loMant;
 148
 149         expon = ((bytes[0] & 0x7F) << 8) | (bytes[1] & 0xFF);
 150         hiMant = ((unsigned long)(bytes[2] & 0xFF) << 24)
 151                 | ((unsigned long) (bytes[3] & 0xFF) << 16)
 152                 | ((unsigned long) (bytes[4] & 0xFF) << 8)
 153                 | ((unsigned long) (bytes[5] & 0xFF));
 154         loMant = ((unsigned long) (bytes[6] & 0xFF) << 24)
 155                 | ((unsigned long) (bytes[7] & 0xFF) << 16)
 156                 | ((unsigned long) (bytes[8] & 0xFF) << 8)
 157                 | ((unsigned long) (bytes[9] & 0xFF));
 158
 159         if (expon == 0 && hiMant == 0 && loMant == 0) {
 160                 f = 0;
 161         }
 162         else {
 163                 if (expon == 0x7FFF) {    /* Infinity or NaN */
 164                         f = HUGE_VAL;
 165                 }
 166                 else {
 167                         expon -= 16383;
 168                         f  = ldexp(UnsignedToFloat(hiMant), expon-=31);
 169                         f += ldexp(UnsignedToFloat(loMant), expon-=32);
 170                 }
 171         }
 172
 173         if (bytes[0] & 0x80)
 174                 return -f;
 175         else
 176                 return f;
 177 }
 178
 179 #endif /* wxUSE_APPLE_IEEE */