float 32bit https://en.wikipedia.org/wiki/Single-precision_floating-point_format
Single-precision floating-point format - Wikipedia
From Wikipedia, the free encyclopedia 32-bit computer number format Single-precision floating-point format (sometimes called FP32 or float32) is a computer number format, usually occupying 32 bits in computer memory; it represents a wide dynamic range of n
en.wikipedia.org
float 16bit https://en.wikipedia.org/wiki/Half-precision_floating-point_format
Half-precision floating-point format - Wikipedia
From Wikipedia, the free encyclopedia 16-bit computer number format Not to be confused with bfloat16, a different 16-bit floating-point format. In computing, half precision (sometimes called FP16 or float16) is a binary floating-point computer number forma
en.wikipedia.org
| |
sign |
exponent |
fraction |
| float 16bit |
1 bit |
5 bit(-0xF) |
10 bit (2^10) |
| float 32bit |
1 bit |
8 bit(-0x7F) |
23 bit (2^23) |
union float_32 {
float dataf;
uint32_t data32;
};
uint16_t float32To16(uint32_t _num) {
// float 32bit : 1bit sign, 8bit exponent, 23bit fraction
// float 16bit : 1bit sign, 5bit exponent, 10bit fraction
uint16_t sign = (_num >> 16) & 0x8000;
int16_t exponent = (_num >> 23) & 0xFF;
uint32_t fraction = (_num & 0x7FFFFF);
fraction = (fraction / 8192) & 0x3FF; // 8192 = pow(2,23) / pow(2,10)
if(exponent == 0x00) {
exponent = 0x00;
}else if(exponent == 0xFF) {
exponent = 0x1F;
}else {
exponent -= 0x7F;
if(exponent < -127 || 128 < exponent) {
// Error 지수 범위 초과
exponent = 0x1F;
fraction = 0x0000;
}else {
exponent += 0xF;
}
}
return (sign | (exponent << 10) | fraction);
}
uint32_t float16To32(uint16_t _num) {
// float 32bit : 1bit sign, 8bit exponent, 23bit fraction
// float 16bit : 1bit sign, 5bit exponent, 10bit fraction
uint32_t sign = (_num << 16) & 0x80000000;
int32_t exponent = (_num >> 10) & 0x1F;
uint32_t fraction = _num & 0x3FF;
fraction = (fraction * 8192) & 0x7FFFFF; // 8192 = pow(2,23) / pow(2,10)
if(exponent == 0) {
exponent = 0x00;
}else if(exponent == 0x1F) {
exponent = 0xFF;
}else {
exponent -= 0xF;
if(exponent < -15 || 16 < exponent) {
// Error 지수 범위 초과
exponent = 0xFF;
fraction = 0x00000000;
}else {
exponent += 0x7F;
}
}
return (sign | (exponent << 23) | fraction);
}
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