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Unpack IEEE754 binary32, from "int[4]" to "float"
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float unpackIEEE754Binary32(int bytes[4]) { | |
/** | |
bytes[0][0]: sign {1 if minus} | |
bytes[0][1:7]: exponent(0:6) | |
bytes[1][0]: exponent(7) | |
bytes[1][1:7]: fraction(0:6) | |
bytes[2][0:7]: fraction(7:14) | |
bytes[3][0:7]: fraction(15:22) | |
*/ | |
bool minus = false; | |
int exponent = 0; | |
if (bytes[0] >= 128) { | |
minus = true; | |
exponent = (bytes[0] - 128) * 2; | |
} else { | |
exponent = bytes[0] * 2; | |
} | |
if (bytes[1] >= 127) { | |
exponent += 1; | |
bytes[1] -= 128; | |
} | |
exponent -= 127; | |
float fraction = 1.0; | |
float base = 0.5; | |
int byteIndex = 1; | |
int bitIndex = 1; | |
int pow2 = 64; // pow2 = pow(2, 7 - bitIndex) | |
for (; byteIndex < 4; ++byteIndex) { | |
int b = bytes[byteIndex]; | |
for (; bitIndex < 8; ++bitIndex) { | |
if (b >= pow2) { | |
fraction += base; | |
b -= pow2; | |
} | |
base *= 0.5; | |
pow2 /= 2; | |
} | |
bitIndex = 0; | |
pow2 = 128; | |
} | |
float v = fraction * pow(2.0, float(exponent)); | |
if (minus) { | |
v *= -1.0; | |
} | |
return v; | |
} |
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