Math.clz32()

The Math.clz32() function returns the number of leading zero bits in the 32-bit binary representation of a number.

Syntax

Math.clz32(<var>x</var>)

Parameters

x

A number.

Return value

The number of leading zero bits in the 32-bit binary representation of the given number.

Description

"clz32" is short for CountLeadingZeroes32.

If x is not a number, then it will be converted to a number first, then converted to a 32-bit unsigned integer.

If the converted 32-bit unsigned integer is 0, then return 32, because all bits are 0.

This function is particularly useful for systems that compile to JS, like Emscripten.

Examples

Using Math.clz32()

Math.clz32(1);                // 31
Math.clz32(1000);             // 22
Math.clz32();                 // 32

[NaN, Infinity, -Infinity, 0, -0, null, undefined, 'foo', {}, []].filter(
function(n) {
  return Math.clz32(n) !== 32
});                           // []

Math.clz32(true);             // 31
Math.clz32(3.5);              // 30

Polyfill

This polyfill depends on Math.imul.

Math.clz32 = Math.clz32 || (function () {
  'use strict';

  var table = [
    32, 31,  0, 16,  0, 30,  3,  0, 15,  0,  0,  0, 29, 10,  2,  0,
     0,  0, 12, 14, 21,  0, 19,  0,  0, 28,  0, 25,  0,  9,  1,  0,
    17,  0,  4,   ,  0,  0, 11,  0, 13, 22, 20,  0, 26,  0,  0, 18,
     5,  0,  0, 23,  0, 27,  0,  6,  0, 24,  7,  0,  8,  0,  0,  0]

  // Adapted from an algorithm in Hacker's Delight, page 103.
  return function (x) {
    // Note that the variables may not necessarily be the same.

    // 1. Let n = ToUint32(x).
    var v = Number(x) >>> 0

    // 2. Let p be the number of leading zero bits in the 32-bit binary representation of n.
    v |= v >>> 1
    v |= v >>> 2
    v |= v >>> 4
    v |= v >>> 8
    v |= v >>> 16
    v = table[Math.imul(v, 0x06EB14F9) >>> 26]

    // Return p.
    return v
  }
})();

Specifications

Browser compatibility

See also

• Math
• Math.imul