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Fast Int Math + Bitwise Hacks For JavaScript
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// http://michalbe.blogspot.com.br/2013/03/javascript-less-known-parts-bitwise.html | |
// http://jsperf.com/bitwise-vs-math-object | |
// http://united-coders.com/christian-harms/results-for-game-for-forfeits-and-the-winner-is/ | |
// https://mudcu.be/journal/2011/11/bitwise-gems-and-other-optimizations/ | |
// https://dreaminginjavascript.wordpress.com/2009/02/09/bitwise-byte-foolish/ | |
// http://jsperf.com/math-min-max-vs-ternary-vs-if/24 | |
"use strict"; | |
var PI = Math.PI; | |
var HALF_PI = PI * 0.5; | |
var TWO_PI = PI * 2; | |
var RADIAN = 180 / PI; | |
// Max int for simple bitwise operations | |
// https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Operators/Bitwise_Operators#Signed_32-bit_integers | |
var MAX_SIGNED_32_BIT_INT = Math.pow(2, 31) - 1; | |
var MIN_SIGNED_32_BIT_INT = ~MAX_SIGNED_32_BIT_INT; | |
// ECMAScript 6 - MIN/MAX safe integer | |
if (Number.MAX_SAFE_INTEGER === void 0) { | |
Number.MIN_SAFE_INTEGER = -( Number.MAX_SAFE_INTEGER = Math.pow(2, 53) - 1 ); | |
} | |
function ABS_INT(n) { | |
return (n ^ (n >> 31)) - (n >> 31); | |
} | |
function MAX_INT(a, b) { | |
return a - ((a - b) & ((a - b) >> 31)); | |
//return a ^ ((a ^ b) & -(a < b)); | |
// var c = a - b; | |
// return a - ((c >> 31) & 0x1) * c; | |
} | |
function MIN_INT(a, b) { | |
return a - ((a - b) & ((b - a) >> 31)); | |
// return b ^ ((a ^ b) & -(a < b)); | |
} | |
function CLAMP_INT( x, min, max ) { | |
x = x - ((x - max) & ((max - x) >> 31)); | |
return x - ((x - min) & ((x - min) >> 31)); | |
//return ( n > max ) ? max : ( n < min ) ? n : min; | |
} | |
function IS_INT_POWER_OF_TWO( value ) { | |
return ( value & ( value - 1 ) ) === 0 && value !== 0; | |
} | |
function PLUS_ONE_INT(n) { // slower than ++ | |
return -~n; | |
} | |
function MINUS_ONE_INT() { // slower than -- | |
return ~-n; | |
} | |
function IS_ODD_INT(n) { | |
return (n & 1) === 1; | |
} | |
function ARRAY_SWAP_INT(array, i, j) { | |
array[i] ^= array[j]; | |
array[j] ^= array[i]; | |
array[i] ^= array[j]; | |
} | |
function HAS_SAME_SIGN(a, b) { | |
return (a ^ b) >= 0; | |
} | |
function POW_OF_2_INT(n) { // === Math.pow(2, n) | |
return 2 << (n - 1); | |
} | |
function AVG_INT(a, b) { // a + b / 2 | |
return (a + b) >> 1; | |
} | |
function TOGGLE_A_B_INT(n, a, b) { // if(x==a) x=b; if(x==b) x=a; | |
return a ^ b ^ n; | |
} | |
function SET_BIT(n, bit) { | |
return n | (1 << bit); | |
} | |
function CLEAR_BIT(n, bit) { | |
return n & ~(1 << bit); | |
} | |
function MODULO_INT(numerator, divisor) { // 600% faster out of function than % | |
return numerator & (divisor - 1); | |
} |
@AugLuk yeah, it could be better documented what the limitations are.
The divisor has to be a power of 2
.
When it is, you get the same result as %
always (even for huge floats, it's 0
:v) but the correct result until a divisor of 2**53
aka 0x20000000000000
MODULO_INT
only works for divisors of power 2 e.g. 2,4,8,16, ...
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Looks like MODULO_INT doesn't work as intended as
numerator & (divisor - 1) != numerator % divisor
Or did I misunderstand the function of MODULO_INT?