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feat: add math/base/special/roundnf implementation
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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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# roundn
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> Round a double-precision floating-point number to the nearest multiple of 10^n.
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<section class="usage">
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## Usage
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```javascript
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var roundn = require( '@stdlib/math/base/special/roundn' );
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```
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#### roundn( x, n )
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Rounds a double-precision floating-point number to the nearest multiple of `10^n`.
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```javascript
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// Round a value to 2 decimal places:
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var v = roundn( 3.141592653589793, -2 );
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// returns 3.14
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// If n = 0, `roundn` behaves like `round`:
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v = roundn( 3.141592653589793, 0 );
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// returns 3.0
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// Round a value to the nearest thousand:
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v = roundn( 12368.0, 3 );
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// returns 12000.0
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```
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</section>
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<!-- /.usage -->
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<section class="notes">
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## Notes
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- When operating on [floating-point numbers][ieee754] in bases other than `2`, rounding to specified digits can be **inexact**. For example,
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```javascript
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var x = 0.2 + 0.1;
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// returns 0.30000000000000004
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// Should round to 0.3...
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var v = roundn( x, -16 );
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// returns 0.3000000000000001
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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 roundn = require( '@stdlib/math/base/special/roundn' );
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var x;
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var n;
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var v;
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var i;
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for ( i = 0; i < 100; i++ ) {
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x = (randu()*100.0) - 50.0;
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n = roundn( randu()*5.0, 0 );
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v = roundn( x, -n );
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console.log( 'x: %d. Number of decimals: %d. Rounded: %d.', x, n, v );
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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/roundn.h"
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```
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#### stdlib_base_roundn( x, n )
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Rounds a double-precision floating-point number to the nearest multiple of `10^n`.
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```c
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double y = stdlib_base_roundn( 3.14, -2 );
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// returns 3.14
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```
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The function accepts the following arguments:
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- **x**: `[in] double` input value.
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- **n**: `[in] int32_t` integer power of 10.
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```c
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double stdlib_base_roundn( const double x, const int32_t n );
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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/roundn.h"
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#include <stdio.h>
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int main( void ) {
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const double x[] = { 3.14, -3.14, 0.0, 0.0/0.0 };
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double y;
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int i;
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for ( i = 0; i < 4; i++ ) {
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y = stdlib_base_roundn( x[ i ], -2 );
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printf( "roundn(%lf) = %lf\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 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/math/base/special/ceiln`][@stdlib/math/base/special/ceiln]</span><span class="delimiter">: </span><span class="description">round a numeric value to the nearest multiple of 10^n toward positive infinity.</span>
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- <span class="package-name">[`@stdlib/math/base/special/floorn`][@stdlib/math/base/special/floorn]</span><span class="delimiter">: </span><span class="description">round a double-precision floating-point number to the nearest multiple of 10^n toward negative infinity.</span>
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- <span class="package-name">[`@stdlib/math/base/special/round`][@stdlib/math/base/special/round]</span><span class="delimiter">: </span><span class="description">round a numeric value to the nearest integer.</span>
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- <span class="package-name">[`@stdlib/math/base/special/roundb`][@stdlib/math/base/special/roundb]</span><span class="delimiter">: </span><span class="description">round a numeric value to the nearest multiple of b^n on a linear scale.</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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[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985
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<!-- <related-links> -->
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[@stdlib/math/base/special/ceiln]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/ceiln
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[@stdlib/math/base/special/floorn]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/floorn
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[@stdlib/math/base/special/round]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/round
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[@stdlib/math/base/special/roundb]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/roundb
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<!-- </related-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 uniform = require( '@stdlib/random/base/uniform' );
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var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
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var pkg = require( './../package.json' ).name;
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var roundn = require( './../lib' );
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// MAIN //
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bench( pkg, function benchmark( b ) {
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var x;
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var y;
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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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x = uniform( -5.0e6, 5.0e6 );
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y = roundn( x, -2 );
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if ( isnanf( y ) ) {
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b.fail( 'should not return NaN' );
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}
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}
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b.toc();
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if ( isnanf( y ) ) {
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b.fail( 'should not return NaN' );
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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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* @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 resolve = require( 'path' ).resolve;
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var bench = require( '@stdlib/bench' );
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var uniform = require( '@stdlib/random/base/uniform' );
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var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
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var tryRequire = require( '@stdlib/utils/try-require' );
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var float64ToFloat32 = require('@stdlib/number/float64/base/to-float32');
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var pkg = require( './../package.json' ).name;
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// VARIABLES //
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var roundnf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
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var opts = {
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'skip': ( roundn instanceof Error )
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};
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// MAIN //
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bench( pkg+'::native', opts, function benchmark( b ) {
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var x;
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var y;
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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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x = uniform( -500.0, 500.0 );
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y = roundnf( float64ToFloat32(x), -2 );
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if ( isnanf( y ) ) {
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b.fail( 'should not return NaN' );
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}
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}
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b.toc();
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if ( isnanf( y ) ) {
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b.fail( 'should not return NaN' );
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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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