142 lines
2.9 KiB
Markdown
142 lines
2.9 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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# evalpoly
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> Compile a module for evaluating a [polynomial][@stdlib/math/base/tools/evalpoly].
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<section class="intro">
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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 compile = require( '@stdlib/math/base/tools/evalpoly-compile' );
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```
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#### compile( c )
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Compiles a module `string` containing an exported function which evaluates a [polynomial][@stdlib/math/base/tools/evalpoly] having coefficients `c`.
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```javascript
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var str = compile( [ 3.0, 2.0, 1.0 ] );
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// returns <string>
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```
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In the example above, the output `string` would correspond to the following module:
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```javascript
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'use strict';
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// MAIN //
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/**
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* Evaluates a polynomial.
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*
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* ## Notes
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*
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* - The implementation uses [Horner's rule][horners-method] for efficient computation.
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*
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* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
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*
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*
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* @private
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* @param {number} x - value at which to evaluate the polynomial
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* @returns {number} evaluated polynomial
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*/
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function evalpoly( x ) {
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if ( x === 0.0 ) {
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return 3.0;
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}
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return 3.0 + (x * (2.0 + (x * 1.0))); // eslint-disable-line max-len
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}
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// EXPORTS //
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module.exports = evalpoly;
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```
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The coefficients should be ordered in **ascending** degree, thus matching summation notation.
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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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- The function is intended for **non-browser** environments for the purpose of generating module files.
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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 Float64Array = require( '@stdlib/array/float64' );
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var compile = require( '@stdlib/math/base/tools/evalpoly-compile' );
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var coef;
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var sign;
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var str;
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var i;
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// Create an array of random coefficients...
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coef = new Float64Array( 10 );
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for ( i = 0; i < coef.length; i++ ) {
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if ( randu() < 0.5 ) {
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sign = -1.0;
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} else {
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sign = 1.0;
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}
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coef[ i ] = sign * round( randu()*100.0 );
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}
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// Compile a module for evaluating a polynomial:
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str = compile( coef );
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console.log( str );
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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/tools/evalpoly]: https://www.npmjs.com/package/@stdlib/math/tree/main/base/tools/evalpoly
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</section>
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<!-- /.links -->
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