Building a 32-bit float out of its 4 composite bytes

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I'm trying to build a 32-bit float out of its 4 composite bytes. Is there a better (or more portable) way to do this than with the following method?

#include <iostream>

typedef unsigned char uchar;

float bytesToFloat(uchar b0, uchar b1, uchar b2, uchar b3)
{
    float output;

    *((uchar*)(&output) + 3) = b0;
    *((uchar*)(&output) + 2) = b1;
    *((uchar*)(&output) + 1) = b2;
    *((uchar*)(&output) + 0) = b3;

    return output;
}

int main()
{
    std::cout << bytesToFloat(0x3e, 0xaa, 0xaa, 0xab) << std::endl; // 1.0 / 3.0
    std::cout << bytesToFloat(0x7f, 0x7f, 0xff, 0xff) << std::endl; // 3.4028234 × 10^38  (max single precision)

    return 0;
}
6 Answers

I typically use this in C -- no memcpy or union required. It may break aliasing rules in C++, I don't know.

float bytesToFloat(uint8_t *bytes, bool big_endian) {
    float f;
    uint8_t *f_ptr = (uint8_t *) &f;
    if (big_endian) {
        f_ptr[3] = bytes[0];
        f_ptr[2] = bytes[1];
        f_ptr[1] = bytes[2];
        f_ptr[0] = bytes[3];
    } else {
        f_ptr[3] = bytes[3];
        f_ptr[2] = bytes[2];
        f_ptr[1] = bytes[1];
        f_ptr[0] = bytes[0];
    }
    return f;
}

If you have a whole array of bytes that need to be re-interpreted as floats, you can call the following procedure for each consecutive sequence of 4 bytes in the array if necessary, to switch the byte order (e.g. if you are running on a little endian machine, but the bytes are in big endian order). Then you can simply cast the uint8_t * array pointer to float *, and access the memory as an array of floats.

void switchEndianness(uint8_t *bytes) {
    uint8_t b0 = bytes[0];
    uint8_t b1 = bytes[1];
    uint8_t b2 = bytes[2];
    uint8_t b3 = bytes[3];
    bytes[0] = b3;
    bytes[1] = b2;
    bytes[2] = b1;
    bytes[3] = b0;
}
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