193 lines
5.5 KiB
Markdown
193 lines
5.5 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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# nanmskmax
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> Calculate the maximum value of a strided array according to a mask, ignoring `NaN` values.
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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 nanmskmax = require( '@stdlib/stats/base/nanmskmax' );
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```
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#### nanmskmax( N, x, strideX, mask, strideMask )
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Computes the maximum value of a strided array `x` according to a `mask`, ignoring `NaN` values.
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```javascript
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var x = [ 1.0, -2.0, 4.0, 2.0, NaN ];
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var mask = [ 0, 0, 1, 0, 0 ];
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var v = nanmskmax( x.length, x, 1, mask, 1 );
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// returns 2.0
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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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- **mask**: mask [`Array`][mdn-array] or [`typed array`][mdn-typed-array]. If a `mask` array element is `0`, the corresponding element in `x` is considered valid and **included** in computation. If a `mask` array element is `1`, the corresponding element in `x` is considered invalid/missing and **excluded** from computation.
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- **strideMask**: index increment for `mask`.
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The `N` and `stride` parameters determine which elements are accessed at runtime. For example, to compute the maximum value of every other element in `x`,
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```javascript
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var floor = require( '@stdlib/math/base/special/floor' );
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var x = [ 1.0, 2.0, -7.0, -2.0, 4.0, 3.0, 5.0, 6.0 ];
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var mask = [ 0, 0, 0, 0, 0, 0, 1, 1 ];
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var N = floor( x.length / 2 );
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var v = nanmskmax( N, x, 2, mask, 2 );
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// returns 4.0
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```
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Note that indexing is relative to the first index. To introduce offsets, 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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var Uint8Array = require( '@stdlib/array/uint8' );
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var floor = require( '@stdlib/math/base/special/floor' );
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var x0 = new Float64Array( [ 2.0, 1.0, -2.0, -2.0, 3.0, 4.0, 5.0, 6.0 ] );
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var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
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var mask0 = new Uint8Array( [ 0, 0, 0, 0, 0, 0, 1, 1 ] );
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var mask1 = new Uint8Array( mask0.buffer, mask0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
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var N = floor( x0.length / 2 );
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var v = nanmskmax( N, x1, 2, mask1, 2 );
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// returns 4.0
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```
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#### nanmskmax.ndarray( N, x, strideX, offsetX, mask, strideMask, offsetMask )
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Computes the maximum value of a strided array according to a `mask`, ignoring `NaN` values and using alternative indexing semantics.
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```javascript
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var x = [ 1.0, -2.0, 4.0, 2.0, NaN ];
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var mask = [ 0, 0, 1, 0, 0 ];
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var v = nanmskmax.ndarray( x.length, x, 1, 0, mask, 1, 0 );
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// returns 2.0
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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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- **offsetMask**: starting index for `mask`.
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While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying `buffer`, the `offset` parameter supports indexing semantics based on a starting index. For example, to calculate the maximum value for every other value in `x` starting from the second value
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```javascript
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var floor = require( '@stdlib/math/base/special/floor' );
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var x = [ 2.0, 1.0, -2.0, -2.0, 3.0, 4.0, 5.0, 6.0 ];
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var mask = [ 0, 0, 0, 0, 0, 0, 1, 1 ];
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var N = floor( x.length / 2 );
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var v = nanmskmax.ndarray( N, x, 2, 1, mask, 2, 1 );
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// returns 4.0
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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 `NaN`.
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- Depending on the environment, the typed versions ([`dnanmskmax`][@stdlib/stats/base/dnanmskmax], [`snanmskmax`][@stdlib/stats/base/snanmskmax], 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 Uint8Array = require( '@stdlib/array/uint8' );
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var nanmskmax = require( '@stdlib/stats/base/nanmskmax' );
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var mask;
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var x;
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var i;
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x = new Float64Array( 10 );
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mask = new Uint8Array( x.length );
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for ( i = 0; i < x.length; i++ ) {
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if ( randu() < 0.2 ) {
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mask[ i ] = 1;
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} else {
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mask[ i ] = 0;
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}
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if ( randu() < 0.1 ) {
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x[ i ] = NaN;
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} else {
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x[ i ] = round( (randu()*100.0) - 50.0 );
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}
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}
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console.log( x );
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console.log( mask );
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var v = nanmskmax( x.length, x, 1, mask, 1 );
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console.log( v );
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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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[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/dnanmskmax]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dnanmskmax
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[@stdlib/stats/base/snanmskmax]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/snanmskmax
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</section>
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<!-- /.links -->
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