#include #include "extended.h" /* * C O N V E R T T O I E E E E X T E N D E D */ /* Copyright (C) 1988-1991 Apple Computer, Inc. * All rights reserved. * * Machine-independent I/O routines for IEEE floating-point numbers. * * NaN's and infinities are converted to HUGE_VAL or HUGE, which * happens to be infinity on IEEE machines. Unfortunately, it is * impossible to preserve NaN's in a machine-independent way. * Infinities are, however, preserved on IEEE machines. * * These routines have been tested on the following machines: * Apple Macintosh, MPW 3.1 C compiler * Apple Macintosh, THINK C compiler * Silicon Graphics IRIS, MIPS compiler * Cray X/MP and Y/MP * Digital Equipment VAX * * * Implemented by Malcolm Slaney and Ken Turkowski. * * Malcolm Slaney contributions during 1988-1990 include big- and little- * endian file I/O, conversion to and from Motorola's extended 80-bit * floating-point format, and conversions to and from IEEE single- * precision floating-point format. * * In 1991, Ken Turkowski implemented the conversions to and from * IEEE double-precision format, added more precision to the extended * conversions, and accommodated conversions involving +/- infinity, * NaN's, and denormalized numbers. */ #ifndef HUGE_VAL #define HUGE_VAL HUGE #endif /*HUGE_VAL*/ #define FloatToUnsigned(f) ((unsigned long) (((long) (f - 2147483648.0)) + 2147483647L) + 1) void _af_convert_to_ieee_extended (double num, unsigned char *bytes) { int sign; int expon; double fMant, fsMant; unsigned long hiMant, loMant; if (num < 0) { sign = 0x8000; num *= -1; } else { sign = 0; } if (num == 0) { expon = 0; hiMant = 0; loMant = 0; } else { fMant = frexp(num, &expon); if ((expon > 16384) || !(fMant < 1)) { /* Infinity or NaN */ expon = sign|0x7FFF; hiMant = 0; loMant = 0; /* infinity */ } else { /* Finite */ expon += 16382; if (expon < 0) { /* denormalized */ fMant = ldexp(fMant, expon); expon = 0; } expon |= sign; fMant = ldexp(fMant, 32); fsMant = floor(fMant); hiMant = FloatToUnsigned(fsMant); fMant = ldexp(fMant - fsMant, 32); fsMant = floor(fMant); loMant = FloatToUnsigned(fsMant); } } bytes[0] = expon >> 8; bytes[1] = expon; bytes[2] = hiMant >> 24; bytes[3] = hiMant >> 16; bytes[4] = hiMant >> 8; bytes[5] = hiMant; bytes[6] = loMant >> 24; bytes[7] = loMant >> 16; bytes[8] = loMant >> 8; bytes[9] = loMant; } /* * C O N V E R T F R O M I E E E E X T E N D E D */ /* * Copyright (C) 1988-1991 Apple Computer, Inc. * All rights reserved. * * Machine-independent I/O routines for IEEE floating-point numbers. * * NaN's and infinities are converted to HUGE_VAL or HUGE, which * happens to be infinity on IEEE machines. Unfortunately, it is * impossible to preserve NaN's in a machine-independent way. * Infinities are, however, preserved on IEEE machines. * * These routines have been tested on the following machines: * Apple Macintosh, MPW 3.1 C compiler * Apple Macintosh, THINK C compiler * Silicon Graphics IRIS, MIPS compiler * Cray X/MP and Y/MP * Digital Equipment VAX * * * Implemented by Malcolm Slaney and Ken Turkowski. * * Malcolm Slaney contributions during 1988-1990 include big- and little- * endian file I/O, conversion to and from Motorola's extended 80-bit * floating-point format, and conversions to and from IEEE single- * precision floating-point format. * * In 1991, Ken Turkowski implemented the conversions to and from * IEEE double-precision format, added more precision to the extended * conversions, and accommodated conversions involving +/- infinity, * NaN's, and denormalized numbers. */ #ifndef HUGE_VAL # define HUGE_VAL HUGE #endif /*HUGE_VAL*/ # define UnsignedToFloat(u) (((double) ((long) (u - 2147483647L - 1))) + 2147483648.0) /**************************************************************** * Extended precision IEEE floating-point conversion routine. ****************************************************************/ double _af_convert_from_ieee_extended (const unsigned char *bytes) { double f; int expon; unsigned long hiMant, loMant; expon = ((bytes[0] & 0x7F) << 8) | (bytes[1] & 0xFF); hiMant = ((unsigned long)(bytes[2] & 0xFF) << 24) | ((unsigned long) (bytes[3] & 0xFF) << 16) | ((unsigned long) (bytes[4] & 0xFF) << 8) | ((unsigned long) (bytes[5] & 0xFF)); loMant = ((unsigned long) (bytes[6] & 0xFF) << 24) | ((unsigned long) (bytes[7] & 0xFF) << 16) | ((unsigned long) (bytes[8] & 0xFF) << 8) | ((unsigned long) (bytes[9] & 0xFF)); if (expon == 0 && hiMant == 0 && loMant == 0) { f = 0; } else { if (expon == 0x7FFF) { /* Infinity or NaN */ f = HUGE_VAL; } else { expon -= 16383; f = ldexp(UnsignedToFloat(hiMant), expon-=31); f += ldexp(UnsignedToFloat(loMant), expon-=32); } } if (bytes[0] & 0x80) return -f; else return f; }