181 lines
4.9 KiB
Markdown
181 lines
4.9 KiB
Markdown
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<!--
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@license Apache-2.0
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Copyright (c) 2020 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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# cuminabs
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> Calculate the cumulative minimum absolute value of a strided array.
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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 cuminabs = require( '@stdlib/stats/base/cuminabs' );
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```
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#### cuminabs( N, x, strideX, y, strideY )
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Computes the cumulative minimum absolute value of a strided array.
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```javascript
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var x = [ 1.0, -2.0, 2.0 ];
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var y = [ 0.0, 0.0, 0.0 ];
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cuminabs( x.length, x, 1, y, 1 );
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// y => [ 1.0, 1.0, 1.0 ]
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```
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The function has the following parameters:
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- **N**: number of indexed elements.
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- **x**: input [`Array`][mdn-array] or [`typed array`][mdn-typed-array].
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- **strideX**: index increment for `x`.
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- **y**: output [`Array`][mdn-array] or [`typed array`][mdn-typed-array].
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- **strideY**: index increment for `y`.
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The `N` and `stride` parameters determine which elements in `x` and `y` are accessed at runtime. For example, to compute the cumulative minimum absolute value of every other element in `x`,
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```javascript
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var x = [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 ];
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var y = [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];
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var v = cuminabs( 4, x, 2, y, 1 );
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// y => [ 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0 ]
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```
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Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
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<!-- eslint-disable stdlib/capitalized-comments -->
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```javascript
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var Float64Array = require( '@stdlib/array/float64' );
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// Initial arrays...
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var x0 = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
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var y0 = new Float64Array( x0.length );
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// Create offset views...
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var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
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var y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*3 ); // start at 4th element
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cuminabs( 4, x1, -2, y1, 1 );
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// y0 => <Float64Array>[ 0.0, 0.0, 0.0, 4.0, 2.0, 2.0, 1.0, 0.0 ]
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```
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#### cuminabs.ndarray( N, x, strideX, offsetX, y, strideY, offsetY )
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Computes the cumulative minimum absolute value of a strided array using alternative indexing semantics.
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```javascript
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var x = [ 1.0, -2.0, 2.0 ];
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var y = [ 0.0, 0.0, 0.0 ];
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cuminabs.ndarray( x.length, x, 1, 0, y, 1, 0 );
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// y => [ 1.0, 1.0, 1.0 ]
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```
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The function has the following additional parameters:
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- **offsetX**: starting index for `x`.
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- **offsetY**: starting index for `y`.
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While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying `buffer`, `offsetX` and `offsetY` parameters support indexing semantics based on a starting indices. For example, to calculate the cumulative minimum absolute value of every other value in `x` starting from the second value and to store in the last `N` elements of `y` starting from the last element
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```javascript
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var x = [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ];
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var y = [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];
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cuminabs.ndarray( 4, x, 2, 1, y, -1, y.length-1 );
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// y => [ 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0 ]
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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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- If `N <= 0`, both functions return `y` unchanged.
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- Depending on the environment, the typed versions ([`dcuminabs`][@stdlib/stats/base/dcuminabs], [`scuminabs`][@stdlib/stats/base/scuminabs], etc.) are likely to be significantly more performant.
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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 cuminabs = require( '@stdlib/stats/base/cuminabs' );
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var y;
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var x;
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var i;
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x = new Float64Array( 10 );
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y = new Float64Array( x.length );
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for ( i = 0; i < x.length; i++ ) {
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x[ i ] = round( randu()*100.0 );
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}
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console.log( x );
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console.log( y );
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cuminabs( x.length, x, 1, y, -1 );
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console.log( y );
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```
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</section>
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<!-- /.examples -->
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<section class="references">
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</section>
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<!-- /.references -->
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<section class="links">
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[mdn-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array
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[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
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[@stdlib/stats/base/dcuminabs]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dcuminabs
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[@stdlib/stats/base/scuminabs]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/scuminabs
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</section>
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<!-- /.links -->
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