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<!--
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@license Apache-2.0
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Copyright (c) 2020 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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# abs
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> Compute the [absolute value][absolute-value].
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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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The [absolute value][absolute-value] is defined as
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<!-- <equation class="equation" label="eq:absolute_value" align="center" raw="|x| = \begin{cases} x & \textrm{if}\ x \geq 0 \\ -x & \textrm{if}\ x < 0\end{cases}" alt="Absolute value"> -->
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<div class="equation" align="center" data-raw-text="|x| = \begin{cases} x &amp; \textrm{if}\ x \geq 0 \\ -x &amp; \textrm{if}\ x &lt; 0\end{cases}" data-equation="eq:absolute_value">
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<img src="" alt="Absolute value">
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<br>
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</div>
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<!-- </equation> -->
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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 abs = require( '@stdlib/math/special/abs' );
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```
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#### abs( x )
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Computes the [absolute value][absolute-value].
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```javascript
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var y = abs( -1.0 );
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// returns 1.0
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```
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The function accepts the following arguments:
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- `x`: input [`ndarray`][@stdlib/ndarray/ctor], array-like object, or number.
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If provided an [`ndarray`][@stdlib/ndarray/ctor] or array-like object, the function computes the [absolute value][absolute-value] for each element and returns an [`ndarray`][@stdlib/ndarray/ctor] having the same shape as `x` and containing element-wise results.
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```javascript
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var Float64Array = require( '@stdlib/array/float64' );
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var array = require( '@stdlib/ndarray/array' );
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// Provide a typed array...
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var x = new Float64Array( [ -1.0, -2.0 ] );
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var y = abs( x );
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// returns <ndarray>
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var v = y.data;
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// returns <Float64Array>[ 1.0, 2.0 ]
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// Provide an ndarray...
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x = array( [ [ -1.0, -2.0 ], [ -3.0, -4.0 ] ] ); // 2x2
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y = abs( x );
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// returns <ndarray>
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v = y.get( 0, 1 );
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// returns 2.0
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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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</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 Float64Array = require( '@stdlib/array/float64' );
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var array = require( '@stdlib/ndarray/array' );
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var ind2sub = require( '@stdlib/ndarray/ind2sub' );
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var abs = require( '@stdlib/math/special/abs' );
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var sub;
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var sh;
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var x;
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var y;
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var i;
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// Provide a number...
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y = abs( -1.0 );
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console.log( 'x = %d => abs(x) = %d', -1.0, y );
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// Provide an array-like object...
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x = new Float64Array( [ -1.0, -2.0, -3.0 ] );
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y = abs( x );
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for ( i = 0; i < x.length; i++ ) {
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console.log( 'x_%d = %d => abs(x_%d) = %d', i, x[ i ], i, y.iget( i ) );
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}
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// Provide an ndarray...
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x = array( [ [ -1.0, -2.0 ], [ -3.0, -4.0 ] ] );
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sh = x.shape;
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y = abs( x );
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for ( i = 0; i < x.length; i++ ) {
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sub = ind2sub( sh, i );
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console.log( 'x_%d%d = %d => abs(x_%d%d) = %d', sub[ 0 ], sub[ 1 ], x.iget( i ), sub[ 0 ], sub[ 1 ], y.iget( i ) );
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}
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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 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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[absolute-value]: https://en.wikipedia.org/wiki/Absolute_value
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[@stdlib/ndarray/ctor]: https://github.com/stdlib-js/stdlib
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</section>
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<!-- /.links -->

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