Programming

typedef struct {
 uint64_t low;
 uint64_t high;
} uint128_t;

/*
**  This program is free software; you can redistribute it and/or modify it under
**  the terms of the GNU Lesser General Public License, as published by the Free 
**  Software Foundation; either version 2 of the License, or (at your option) any
**  later version.
**
**   IEEE 758-2008 Half-precision Floating Point Format
**   --------------------------------------------------
**
**   | Field    | Last | First | Note
**   |----------|------|-------|----------
**   | Sign     | 15   | 15    |
**   | Exponent | 14   | 10    | Bias = 15
**   | Fraction | 9    | 0     |
*/

#include <stdio.h>
#include <inttypes.h>

typedef uint16_t HALF;

/* ----- prototypes ------ */
float HALFToFloat(HALF);
HALF floatToHALF(float);
static uint32_t halfToFloatI(HALF);
static HALF floatToHalfI(uint32_t);

float
HALFToFloat(HALF y)
{
    union { float f; uint32_t i; } v;
    v.i = halfToFloatI(y);
    return v.f;
}

uint32_t
static halfToFloatI(HALF y)
{
    int s = (y >> 15) & 0x00000001;                            // sign
    int e = (y >> 10) & 0x0000001f;                            // exponent
    int f =  y        & 0x000003ff;                            // fraction

    // need to handle 7c00 INF and fc00 -INF?
    if (e == 0) {
        // need to handle +-0 case f==0 or f=0x8000?
        if (f == 0)                                            // Plus or minus zero
            return s << 31;
        else {                                                 // Denormalized number -- renormalize it
            while (!(f & 0x00000400)) {
                f <<= 1;
                e -=  1;
            }
            e += 1;
            f &= ~0x00000400;
        }
    } else if (e == 31) {
        if (f == 0)                                             // Inf
            return (s << 31) | 0x7f800000;
        else                                                    // NaN
            return (s << 31) | 0x7f800000 | (f << 13);
    }

    e = e + (127 - 15);
    f = f << 13;

    return ((s << 31) | (e << 23) | f);
}

HALF
floatToHALF(float i)
{
    union { float f; uint32_t i; } v;
    v.f = i;
    return floatToHalfI(v.i);
}

HALF
static floatToHalfI(uint32_t i)
{
    register int s =  (i >> 16) & 0x00008000;                   // sign
    register int e = ((i >> 23) & 0x000000ff) - (127 - 15);     // exponent
    register int f =   i        & 0x007fffff;                   // fraction

    // need to handle NaNs and Inf?
    if (e <= 0) {
        if (e < -10) {
            if (s)                                              // handle -0.0
               return 0x8000;
            else
               return 0;
        }
        f = (f | 0x00800000) >> (1 - e);
        return s | (f >> 13);
    } else if (e == 0xff - (127 - 15)) {
        if (f == 0)                                             // Inf
            return s | 0x7c00;
        else {                                                  // NAN
            f >>= 13;
            return s | 0x7c00 | f | (f == 0);
        }
    } else {
        if (e > 30)                                             // Overflow
            return s | 0x7c00;
        return s | (e << 10) | (f >> 13);
    }
}

int
main(int argc, char *argv[])
{
   float f1, f2;
   HALF h;

   printf("Please enter a floating point number: ");
   scanf("%f", &f1);

   h = floatToHALF(f1);
   f2 = HALFToFloat(h);

   printf("Results are: %f %f %#lx\n", f1, f2, h);
}