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feat: add complex/float64/conj
Ref: #2260
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‎lib/node_modules/@stdlib/complex/float64/conj/README.md

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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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# conj
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> Return the [complex conjugate][complex-conjugate] of a double-precision complex floating-point number.
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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 conj = require( '@stdlib/complex/float64/conj' );
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```
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#### conj( z )
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Returns the [complex conjugate][complex-conjugate] of a double-precision complex floating-point number.
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```javascript
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var Complex128 = require( '@stdlib/complex/float64/ctor' );
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var z = new Complex128( 5.0, 3.0 );
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var str = z.toString();
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// returns '5 + 3i'
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var v = conj( z );
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str = v.toString();
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// returns '5 - 3i'
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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-disable max-len -->
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<!-- eslint no-undef: "error" -->
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```javascript
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var Complex128 = require( '@stdlib/complex/float64/ctor' );
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var discreteUniform = require( '@stdlib/random/base/discrete-uniform' );
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var filledarrayBy = require( '@stdlib/array/filled-by' );
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var conj = require( '@stdlib/complex/float64/conj' );
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function random() {
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return new Complex128( discreteUniform( -10, 10 ), discreteUniform( -10, 10 ) );
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}
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// Generate an array of random complex numbers:
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var x = filledarrayBy( 100, 'complex128', random );
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// returns <Complex128Array>
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// Compute the complex conjugate of each complex number...
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var z;
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var i;
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for ( i = 0; i < 100; i++ ) {
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z = x.get( i );
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console.log( 'conj(%s) = %s', z.toString(), conj( z ).toString() );
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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/complex/float64/conj.h"
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```
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#### stdlib_complex128_conj( z )
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Returns the [complex conjugate][complex-conjugate] of a double-precision complex floating-point number.
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```c
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#include "stdlib/complex/float64/ctor.h"
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#include "stdlib/complex/real.h"
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#include "stdlib/complex/imag.h"
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stdlib_complex128_t z = stdlib_complex128( 5.0, 2.0 );
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// ...
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stdlib_complex128_t v = stdlib_complex128_conj( z );
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double re = stdlib_real( v );
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// returns 5.0
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double im = stdlib_imag( v );
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// returns -2.0
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```
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The function accepts the following arguments:
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- **z**: `[in] stdlib_complex128_t` double-precision complex floating-point number.
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```c
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stdlib_complex128_t stdlib_complex128_conj( const stdlib_complex128_t z );
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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/complex/float64/conj.h"
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#include "stdlib/complex/real.h"
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#include "stdlib/complex/imag.h"
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#include "stdlib/complex/float64/ctor.h"
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#include <stdio.h>
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int main( void ) {
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const stdlib_complex128_t x[] = {
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stdlib_complex128( 5.0, 2.0 ),
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stdlib_complex128( -2.0, 1.0 ),
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stdlib_complex128( 0.0, -0.0 ),
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stdlib_complex128( 0.0/0.0, 0.0/0.0 )
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};
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stdlib_complex128_t z;
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stdlib_complex128_t v;
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int i;
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for ( i = 0; i < 4; i++ ) {
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z = x[ i ];
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v = stdlib_complex128_conj( z );
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printf( "conj(%lf + %lfi) = %lf + %lfi\n", stdlib_real( z ), stdlib_imag( z ), stdlib_real( v ), stdlib_imag( v ) );
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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 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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* * *
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## See Also
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- <span class="package-name">[`@stdlib/complex/imag`][@stdlib/complex/imag]</span><span class="delimiter">: </span><span class="description">return the imaginary component of a double-precision complex floating-point number.</span>
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- <span class="package-name">[`@stdlib/complex/real`][@stdlib/complex/real]</span><span class="delimiter">: </span><span class="description">return the real component of a double-precision complex floating-point number.</span>
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- <span class="package-name">[`@stdlib/complex/reim`][@stdlib/complex/reim]</span><span class="delimiter">: </span><span class="description">return the real and imaginary components of a double-precision complex floating-point number.</span>
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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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[complex-conjugate]: https://en.wikipedia.org/wiki/Complex_conjugate
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<!-- <related-links> -->
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[@stdlib/complex/imag]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/complex/imag
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[@stdlib/complex/real]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/complex/real
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[@stdlib/complex/reim]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/complex/reim
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<!-- </related-links> -->
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</section>
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<!-- /.links -->

‎lib/node_modules/@stdlib/complex/float64/conj/benchmark/benchmark.js

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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2018 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 isComplex128 = require( '@stdlib/assert/is-complex128' );
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var Complex128 = require( '@stdlib/complex/float64/ctor' );
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var randu = require( '@stdlib/random/base/randu' );
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var pkg = require( './../package.json' ).name;
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var conj = require( './../lib' );
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// MAIN //
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bench( pkg, function benchmark( b ) {
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var values;
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var v;
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var i;
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values = [
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new Complex128( randu(), randu() ),
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new Complex128( randu(), randu() ),
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new Complex128( randu(), randu() )
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];
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b.tic();
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for ( i = 0; i < b.iterations; i++ ) {
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v = conj( values[ i%values.length ] );
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if ( typeof v !== 'object' ) {
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b.fail( 'should return an object' );
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}
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}
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b.toc();
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if ( !isComplex128( v ) ) {
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b.fail( 'should return an object' );
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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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