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feat: add array/base/assert/has-almost-equal-values
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<!--
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@license Apache-2.0
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Copyright (c) 2025 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# hasAlmostEqualValues
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> Test if two arrays have respective elements which are approximately equal within a specified number of ULPs (units in the last place).
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<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
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<section class="intro">
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</section>
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<!-- /.intro -->
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<!-- Package usage documentation. -->
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<section class="usage">
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## Usage
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```javascript
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var hasAlmostEqualValues = require( '@stdlib/array/base/assert/has-almost-equal-values' );
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```
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#### hasAlmostEqualValues( x, y, maxULP )
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Tests if two arrays have respective elements which are approximately equal within a specified number of ULPs (units in the last place).
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```javascript
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var x = [ 0, 0, 1, 0 ];
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var y = [ 0, 0, 1, 0 ];
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var bool = hasAlmostEqualValues( x, y, 1 );
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// returns true
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```
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</section>
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<!-- /.usage -->
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<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="notes">
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## Notes
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- If provided arrays of unequal length, the function returns `false`.
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- The function does **not** skip `undefined` elements and is thus not optimized for sparse arrays.
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</section>
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<!-- /.notes -->
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<!-- Package usage examples. -->
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<section class="examples">
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## Examples
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<!-- eslint no-undef: "error" -->
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```javascript
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var uniform = require( '@stdlib/random/array/uniform' );
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var Complex128Array = require( '@stdlib/array/complex128' );
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var hasAlmostEqualValues = require( '@stdlib/array/base/assert/has-almost-equal-values' );
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var buf = uniform( 10, 0, 10 );
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// returns <Float64Array>
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var x = new Complex128Array( buf );
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// returns <Complex128Array>
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var y = new Complex128Array( buf );
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// returns <Complex128Array>
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var out = hasAlmostEqualValues( x, y, 1 );
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// returns true
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```
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</section>
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<!-- /.examples -->
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<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="references">
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</section>
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<!-- /.references -->
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<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
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<section class="related">
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</section>
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<!-- /.related -->
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<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="links">
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</section>
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<!-- /.links -->
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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2025 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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// MODULES //
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var bench = require( '@stdlib/bench' );
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var pow = require( '@stdlib/math/base/special/pow' );
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var isBoolean = require( '@stdlib/assert/is-boolean' ).isPrimitive;
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var zeros = require( '@stdlib/array/base/zeros' );
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var pkg = require( './../package.json' ).name;
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var hasAlmostEqualValues = require( './../lib' );
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// FUNCTIONS //
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/**
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* Creates a benchmark function.
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*
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* @private
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* @param {PositiveInteger} len - array length
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* @returns {Function} benchmark function
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*/
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function createBenchmark( len ) {
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var x = zeros( len );
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return benchmark;
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/**
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* Benchmark function.
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*
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* @private
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* @param {Benchmark} b - benchmark instance
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*/
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function benchmark( b ) {
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var out;
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var i;
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b.tic();
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for ( i = 0; i < b.iterations; i++ ) {
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out = hasAlmostEqualValues( x, x, 1 );
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if ( typeof out !== 'boolean' ) {
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b.fail( 'should return a boolean' );
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}
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}
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b.toc();
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if ( !isBoolean( out ) ) {
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b.fail( 'should return a boolean' );
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}
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b.pass( 'benchmark finished' );
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b.end();
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}
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}
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// MAIN //
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/**
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* Main execution sequence.
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*
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* @private
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*/
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function main() {
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var len;
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var min;
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var max;
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var f;
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var i;
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min = 1; // 10^min
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max = 6; // 10^max
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for ( i = min; i <= max; i++ ) {
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len = pow( 10, i );
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f = createBenchmark( len );
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bench( pkg+':dtype=generic,len='+len, f );
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}
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}
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main();
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{{alias}}( x, y, maxULP )
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Tests if two arrays have respective elements which are approximately equal
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within a specified number of ULPs (units in the last place).
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If provided arrays of unequal length, the function returns `false`.
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Parameters
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----------
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x: Array|TypedArray|Object
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First input array.
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y: Array|TypedArray|Object
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Second input array.
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maxULP: integer
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Maximum allowed ULP difference.
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Returns
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-------
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bool: boolean
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Boolean indicating whether two arrays are approximately equal.
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Examples
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--------
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> var x = [ 0, 0, 1, 0 ];
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> var y = [ 0, 0, 1, 0 ];
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> var out = {{alias}}( x, y, 0 )
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true
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See Also
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--------
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/*
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* @license Apache-2.0
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*
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* Copyright (c) 2025 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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// TypeScript Version: 4.1
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/// <reference types="@stdlib/types"/>
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import { Collection, AccessorArrayLike } from '@stdlib/types/array';
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/**
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* Tests if two arrays have respective elements which are approximately equal within a specified number of ULPs (units in the last place).
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*
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* ## Notes
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*
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* - If provided arrays of unequal length, the function returns `false`.
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*
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* @param x - first input array
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* @param y - second input array
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* @param maxULP - maximum allowed ULP difference
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* @returns boolean indicating whether both arrays are approximately equal
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*
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* @example
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* var x = [ 0, 0, 1, 0 ];
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* var y = [ 0, 0, 1, 0 ];
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*
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* var out = hasAlmostEqualValues( x, y, 0 );
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* // returns true
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*/
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declare function hasAlmostEqualValues<T = unknown, U = unknown>( x: Collection<T> | AccessorArrayLike<T>, y: Collection<U> | AccessorArrayLike<U>, maxULP: number ): boolean;
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// EXPORTS //
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export = hasAlmostEqualValues;
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/*
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* @license Apache-2.0
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*
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* Copyright (c) 2025 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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import toAccessorArray = require( '@stdlib/array/base/to-accessor-array' );
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import hasAlmostEqualValues = require( './index' );
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// TESTS //
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// The function returns a boolean...
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{
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const x = [ 1, 2, 3 ];
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hasAlmostEqualValues( x, x ); // $ExpectType boolean
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hasAlmostEqualValues( new Float64Array( x ), new Float64Array( x ), 0 ); // $ExpectType boolean
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hasAlmostEqualValues( new Float32Array( x ), new Float32Array( x ), 0 ); // $ExpectType boolean
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hasAlmostEqualValues( new Int32Array( x ), new Int32Array( x ), 0 ); // $ExpectType boolean
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hasAlmostEqualValues( new Int16Array( x ), new Int16Array( x ), 0 ); // $ExpectType boolean
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hasAlmostEqualValues( new Int8Array( x ), new Int8Array( x ), 0 ); // $ExpectType boolean
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hasAlmostEqualValues( new Uint32Array( x ), new Uint32Array( x ), 0 ); // $ExpectType boolean
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hasAlmostEqualValues( new Uint16Array( x ), new Uint16Array( x ), 0 ); // $ExpectType boolean
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hasAlmostEqualValues( new Uint8Array( x ), new Uint8Array( x ), 0 ); // $ExpectType boolean
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hasAlmostEqualValues( new Uint8ClampedArray( x ), new Uint8ClampedArray( x ), 0 ); // $ExpectType boolean
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hasAlmostEqualValues( toAccessorArray( x ), toAccessorArray( x ), 0 ); // $ExpectType boolean
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}
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// The compiler throws an error if the function is provided a first argument which is not a collection...
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{
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const x = [ 1, 2, 3 ];
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hasAlmostEqualValues( 2, x, 0 ); // $ExpectError
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hasAlmostEqualValues( false, x, 0 ); // $ExpectError
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hasAlmostEqualValues( true, x, 0 ); // $ExpectError
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hasAlmostEqualValues( {}, x, 0 ); // $ExpectError
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}
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// The compiler throws an error if the function is provided a second argument which is not a collection...
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{
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const x = [ 1, 2, 3 ];
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hasAlmostEqualValues( x, 2, 0 ); // $ExpectError
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hasAlmostEqualValues( x, false, 0 ); // $ExpectError
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hasAlmostEqualValues( x, true, 0 ); // $ExpectError
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hasAlmostEqualValues( x, {}, 0 ); // $ExpectError
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}
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// The compiler throws an error if the function is provided a third argument which is not a number...
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{
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const x = [ 1, 2, 3 ];
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hasAlmostEqualValues( x, x, '2' ); // $ExpectError
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hasAlmostEqualValues( x, x, false ); // $ExpectError
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hasAlmostEqualValues( x, x, true ); // $ExpectError
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hasAlmostEqualValues( x, x, null ); // $ExpectError
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hasAlmostEqualValues( x, x, undefined ); // $ExpectError
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hasAlmostEqualValues( x, x, {} ); // $ExpectError
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hasAlmostEqualValues( x, x, [] ); // $ExpectError
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hasAlmostEqualValues( x, x, ( x: number ): number => x ); // $ExpectError
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}
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// The compiler throws an error if the function is provided an unsupported number of arguments...
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{
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const x = [ 1, 2, 3 ];
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hasAlmostEqualValues(); // $ExpectError
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hasAlmostEqualValues( x ); // $ExpectError
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hasAlmostEqualValues( x, x ); // $ExpectError
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hasAlmostEqualValues( x, x, 0, 1 ); // $ExpectError
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}

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