94 lines
2.1 KiB
Markdown
94 lines
2.1 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 [half-precision floating-point epsilon][@stdlib/constants/float16/eps].
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<section class="usage">
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## Usage
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```javascript
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var FLOAT16_SQRT_EPSILON = require( '@stdlib/constants/float16/sqrt-eps' );
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```
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#### FLOAT16_SQRT_EPSILON
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[Square root][@stdlib/math/base/special/sqrt] of [half-precision floating-point epsilon][@stdlib/constants/float16/eps].
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```javascript
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var bool = ( FLOAT16_SQRT_EPSILON === 0.03125 );
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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 maxabs = require( '@stdlib/math/base/special/maxabs' );
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var randu = require( '@stdlib/random/base/randu' );
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var FLOAT16_SQRT_EPSILON = require( '@stdlib/constants/float16/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 = abs( a - b );
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tol = FLOAT16_SQRT_EPSILON * maxabs( a, 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 = randu() * 10.0;
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b = a + (randu()*0.2) - 0.1;
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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/float16/eps]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float16/eps
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</section>
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<!-- /.links -->
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