210 lines
4.1 KiB
Markdown
210 lines
4.1 KiB
Markdown
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<!--
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@license Apache-2.0
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Copyright (c) 2018 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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# Absolute Value
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> Compute an [absolute value][absolute-value] of a signed 32-bit integer.
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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 & \textrm{if}\ x \geq 0 \\ -x & \textrm{if}\ x < 0\end{cases}" data-equation="eq:absolute_value">
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<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@dc413bd931fa2ac3d9d19d2cb44a08dbd5a3e9ad/lib/node_modules/@stdlib/math/base/special/labs/docs/img/equation_absolute_value.svg" 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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<section class="usage">
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## Usage
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```javascript
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var labs = require( '@stdlib/math/base/special/labs' );
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```
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#### labs( x )
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Computes an [absolute value][absolute-value] of a signed 32-bit integer.
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```javascript
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var v = labs( -1|0 );
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// returns 1
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v = labs( 2|0 );
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// returns 2
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v = labs( 0|0 );
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// returns 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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## Notes
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- The implementation assumes two's complement.
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- In two's complement systems, the absolute value of the minimum signed 32-bit integer is out-of-range. The absolute value for the minimum signed 32-bit integer is thus undefined.
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```javascript
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// -2^31
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var x = -2147483648|0;
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var v = labs( x );
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// returns -2147483648
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```
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</section>
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<!-- /.notes -->
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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 randu = require( '@stdlib/random/base/randu' );
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var round = require( '@stdlib/math/base/special/round' );
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var labs = require( '@stdlib/math/base/special/labs' );
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var x;
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var i;
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for ( i = 0; i < 100; i++ ) {
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x = round( randu() * 100.0 ) - 50;
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console.log( 'abs(%d) = %d', x, labs( x|0 ) );
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}
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```
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</section>
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<!-- /.examples -->
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<!-- C interface documentation. -->
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* * *
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<section class="c">
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## C APIs
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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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<!-- C usage documentation. -->
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<section class="usage">
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### Usage
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```c
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#include "stdlib/math/base/special/labs.h"
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```
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#### stdlib_base_labs( x )
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Computes the absolute value of a signed 32-bit integer in two's complement format.
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```c
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#include <stdint.h>
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int32_t y = stdlib_base_labs( -5 );
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// returns 5
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```
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The function accepts the following arguments:
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- **x**: `[in] int32_t` input value.
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```c
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int32_t stdlib_base_labs( const int32_t x );
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```
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</section>
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<!-- /.usage -->
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<!-- C API 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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<!-- C API usage examples. -->
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<section class="examples">
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### Examples
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```c
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#include "stdlib/math/base/special/labs.h"
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#include <stdint.h>
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#include <stdio.h>
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int main() {
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int32_t x[] = { 3, -3, 0, -10 };
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int32_t y;
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int i;
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for ( i = 0; i < 4; i++ ) {
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y = stdlib_base_labs( x[ i ] );
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printf( "|%i| = %i\n", x[ i ], y );
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}
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}
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```
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</section>
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<!-- /.examples -->
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</section>
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<!-- /.c -->
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<section class="links">
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[absolute-value]: https://en.wikipedia.org/wiki/Absolute_value
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</section>
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<!-- /.links -->
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