isAlmostEqual
Test if two arguments are approximately equal within a specified number of ULPs (units in the last place).
Usage
var isAlmostEqual = require( '@stdlib/assert/is-almost-equal' );
isAlmostEqual( a, b, maxULP )
Tests if two arguments are approximately equal within a specified number of ULPs (units in the last place).
var EPS = require( '@stdlib/constants/float64/eps' ); var bool = isAlmostEqual( 1.0, 1.0+EPS, 1 ); // returns true bool = isAlmostEqual( '', '', 0 ); // returns true bool = isAlmostEqual( {}, {}, 1 ); // returns false
The function returns false if either input value is NaN or, in the case of complex numbers, if either the real or imaginary component is NaN.
var Complex128 = require( '@stdlib/complex/float64/ctor' ); var bool = isAlmostEqual( NaN, 1.0, 1 ); // returns false bool = isAlmostEqual( NaN, NaN, 1 ); // returns false var z1 = new Complex128( NaN, 3.0 ); var z2 = new Complex128( 1.0, 3.0 ); bool = isAlmostEqual( z1, z2, 1 ); // returns false z1 = new Complex128( NaN, NaN ); z2 = new Complex128( NaN, NaN ); bool = isAlmostEqual( z1, z2, 1 ); // returns false
The function does not distinguish between -0 and +0, treating them as equal.
var Complex128 = require( '@stdlib/complex/float64/ctor' ); var bool = isAlmostEqual( 0.0, -0.0, 0 ); // returns true var z1 = new Complex128( 0.0, 0.0 ); var z2 = new Complex128( -0.0, -0.0 ); bool = isAlmostEqual( z1, z2, 0 ); // returns true
Examples
var EPS = require( '@stdlib/constants/float64/eps' ); var Complex128 = require( '@stdlib/complex/float64/ctor' ); var isAlmostEqual = require( '@stdlib/assert/is-almost-equal' ); console.log( isAlmostEqual( true, true, 0 ) ); // => true console.log( isAlmostEqual( true, false, 1 ) ); // => false console.log( isAlmostEqual( 'beep', 'beep', 1 ) ); // => true console.log( isAlmostEqual( 1.0, 1.0+EPS, 1 ) ); // => true console.log( isAlmostEqual( null, null, 0 ) ); // => true console.log( isAlmostEqual( 0.0, -0.0, 0 ) ); // => true console.log( isAlmostEqual( NaN, NaN, 1 ) ); // => false var z1 = new Complex128( 1.0, 3.0+EPS ); var z2 = new Complex128( 1.0+EPS, 3.0 ); console.log( isAlmostEqual( z1, z2, 1 ) ); // => true console.log( isAlmostEqual( {}, {}, 1 ) ); // => false console.log( isAlmostEqual( [], [], 1 ) ); // => false console.log( isAlmostEqual( isAlmostEqual, isAlmostEqual, 0 ) ); // => true