191 lines
5.5 KiB
Markdown
191 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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# dsnanmean
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> Calculate the [arithmetic mean][arithmetic-mean] of a single-precision floating-point strided array, ignoring `NaN` values, using extended accumulation, and returning an extended precision result.
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<section class="intro">
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The [arithmetic mean][arithmetic-mean] is defined as
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<!-- <equation class="equation" label="eq:arithmetic_mean" align="center" raw="\mu = \frac{1}{n} \sum_{i=0}^{n-1} x_i" alt="Equation for the arithmetic mean."> -->
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<div class="equation" align="center" data-raw-text="\mu = \frac{1}{n} \sum_{i=0}^{n-1} x_i" data-equation="eq:arithmetic_mean">
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<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@78a403ca3645ec240cac504c1caa1bff80f9447e/lib/node_modules/@stdlib/stats/base/dsnanmean/docs/img/equation_arithmetic_mean.svg" alt="Equation for the arithmetic mean.">
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<br>
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</div>
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<!-- </equation> -->
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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 dsnanmean = require( '@stdlib/stats/base/dsnanmean' );
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```
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#### dsnanmean( N, x, stride )
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Computes the [arithmetic mean][arithmetic-mean] of a single-precision floating-point strided array `x`, ignoring `NaN` values, using extended accumulation, and returning an extended precision result.
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```javascript
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var Float32Array = require( '@stdlib/array/float32' );
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var x = new Float32Array( [ 1.0, -2.0, NaN, 2.0 ] );
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var N = x.length;
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var v = dsnanmean( N, x, 1 );
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// returns ~0.3333
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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 [`Float32Array`][@stdlib/array/float32].
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- **stride**: index increment for `x`.
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The `N` and `stride` parameters determine which elements in `x` are accessed at runtime. For example, to compute the [arithmetic mean][arithmetic-mean] of every other element in `x`,
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```javascript
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var Float32Array = require( '@stdlib/array/float32' );
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var floor = require( '@stdlib/math/base/special/floor' );
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var x = new Float32Array( [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0, NaN ] );
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var N = floor( x.length / 2 );
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var v = dsnanmean( N, x, 2 );
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// returns 1.25
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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 Float32Array = require( '@stdlib/array/float32' );
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var floor = require( '@stdlib/math/base/special/floor' );
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var x0 = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0, NaN ] );
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var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
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var N = floor( x0.length / 2 );
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var v = dsnanmean( N, x1, 2 );
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// returns 1.25
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```
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#### dsnanmean.ndarray( N, x, stride, offset )
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Computes the [arithmetic mean][arithmetic-mean] of a single-precision floating-point strided array, ignoring `NaN` values and using extended accumulation and alternative indexing semantics.
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```javascript
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var Float32Array = require( '@stdlib/array/float32' );
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var x = new Float32Array( [ 1.0, -2.0, NaN, 2.0 ] );
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var N = x.length;
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var v = dsnanmean.ndarray( N, x, 1, 0 );
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// returns ~0.33333
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```
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The function has the following additional parameters:
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- **offset**: starting index for `x`.
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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 [arithmetic mean][arithmetic-mean] for every other value in `x` starting from the second value
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```javascript
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var Float32Array = require( '@stdlib/array/float32' );
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var floor = require( '@stdlib/math/base/special/floor' );
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var x = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0, NaN ] );
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var N = floor( x.length / 2 );
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var v = dsnanmean.ndarray( N, x, 2, 1 );
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// returns 1.25
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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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- If every indexed element is `NaN`, both functions return `NaN`.
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- Accumulated intermediate values are stored as double-precision floating-point numbers.
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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 Float32Array = require( '@stdlib/array/float32' );
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var dsnanmean = require( '@stdlib/stats/base/dsnanmean' );
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var x;
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var i;
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x = new Float32Array( 10 );
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for ( i = 0; i < x.length; i++ ) {
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if ( randu() < 0.2 ) {
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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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var v = dsnanmean( x.length, x, 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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[arithmetic-mean]: https://en.wikipedia.org/wiki/Arithmetic_mean
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[@stdlib/array/float32]: https://www.npmjs.com/package/@stdlib/array-float32
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[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
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</section>
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<!-- /.links -->
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