// Convert a C floating point into a 27-bit register floating point.
unsigned int floatToReg27(float f) {
    int f_f = (*(int*)&f);
    int f_sign = (f_f >> 31) & 0x1;
    int f_exp = (f_f >> 23) & 0xFF;
    int f_frac = f_f & 0x007FFFFF;
    int r_sign;
    int r_exp;
    int r_frac;
    r_sign = f_sign;
    if((f_exp == 0x00) || (f_exp == 0xFF)) {
        // 0x00 -> 0 or subnormal
        // 0xFF -> infinity or NaN
        r_exp = 0;
        r_frac = 0;
    } else {
        r_exp = (f_exp) & 0xFF;
        r_frac = ((f_frac >> 5)) & 0x0003FFFF;
    }
    return (r_sign << 26) | (r_exp << 18) | r_frac;
}

// Convert a 27-bit register floating point into a C floating point.
float reg27ToFloat(unsigned int r) {
    int sign = (r & 0x04000000) >> 26;
    unsigned int exp = (r & 0x03FC0000) >> 18;
    int frac = (r & 0x0003FFFF);
    float result = pow(2.0, (float) (exp-127.0));
    result = (1.0+(((float)frac) / 262144.0)) * result;
    if(sign) result = result * (-1);
    return result;
}