95 lines
2.3 KiB
Markdown
95 lines
2.3 KiB
Markdown
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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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# Square Root of Epsilon
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> [Square root][@stdlib/math/base/special/sqrt] of [single-precision floating-point epsilon][@stdlib/constants/float32/eps].
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<section class="usage">
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## Usage
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```javascript
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var FLOAT32_SQRT_EPSILON = require( '@stdlib/constants/float32/sqrt-eps' );
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```
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#### FLOAT32_SQRT_EPSILON
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[Square root][@stdlib/math/base/special/sqrt] of [single-precision floating-point epsilon][@stdlib/constants/float32/eps].
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```javascript
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var bool = ( FLOAT32_SQRT_EPSILON === 0.0003452669770922512 );
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// returns true
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```
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</section>
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<!-- /.usage -->
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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 abs = require( '@stdlib/math/base/special/abs' );
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var max = require( '@stdlib/math/base/special/max' );
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var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
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var randu = require( '@stdlib/random/base/randu' );
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var FLOAT32_SQRT_EPSILON = require( '@stdlib/constants/float32/sqrt-eps' );
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var bool;
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var a;
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var b;
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var i;
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function isApprox( a, b ) {
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var delta;
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var tol;
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delta = float64ToFloat32( abs( a - b ) );
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tol = float64ToFloat32( FLOAT32_SQRT_EPSILON * max( abs( a ), abs( b ) ) );
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return ( delta <= tol );
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}
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for ( i = 0; i < 100; i++ ) {
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a = float64ToFloat32( randu()*10.0 );
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b = float64ToFloat32( a + (randu()*2.0e-2) - 1.0e-2 );
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bool = isApprox( a, b );
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console.log( '%d %s approximately equal to %d', a, ( bool ) ? 'is' : 'is not', b );
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}
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```
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</section>
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<!-- /.examples -->
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<section class="links">
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[@stdlib/math/base/special/sqrt]: https://www.npmjs.com/package/@stdlib/math-base-special-sqrt
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[@stdlib/constants/float32/eps]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float32/eps
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</section>
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<!-- /.links -->
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