Using the new ArrayBuffer
access arrays, it is actually possible to retrieve the exact mantissa and exponent, by extracting them from the Uint8Array
. If you need more speed, consider reusing the Float64Array
.
function getNumberParts(x)
{
var float = new Float64Array(1),
bytes = new Uint8Array(float.buffer);
float[0] = x;
var sign = bytes[7] >> 7,
exponent = ((bytes[7] & 0x7f) << 4 | bytes[6] >> 4) - 0x3ff;
bytes[7] = 0x3f;
bytes[6] |= 0xf0;
return {
sign: sign,
exponent: exponent,
mantissa: float[0],
}
}
I’ve also created some test cases. 0
fails, since there is another representation for 2^-1023.
var tests = [1, -1, .123, -.123, 1.5, -1.5, 1e100, -1e100,
1e-100, -1e-100, Infinity, -Infinity];
tests.forEach(function(x)
{
var parts = getNumberParts(x),
value = Math.pow(-1, parts.sign) *
Math.pow(2, parts.exponent) *
parts.mantissa;
console.log("Testing: " + x + " " + value);
console.assert(x === value);
});
console.log("Tests passed");