README.md (4676B)
1 <!-- 2 3 @license Apache-2.0 4 5 Copyright (c) 2019 The Stdlib Authors. 6 7 Licensed under the Apache License, Version 2.0 (the "License"); 8 you may not use this file except in compliance with the License. 9 You may obtain a copy of the License at 10 11 http://www.apache.org/licenses/LICENSE-2.0 12 13 Unless required by applicable law or agreed to in writing, software 14 distributed under the License is distributed on an "AS IS" BASIS, 15 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 16 See the License for the specific language governing permissions and 17 limitations under the License. 18 19 --> 20 21 # itermmeanabs 22 23 > Create an [iterator][mdn-iterator-protocol] which iteratively computes a moving [arithmetic mean][arithmetic-mean] of absolute values. 24 25 <section class="intro"> 26 27 For a window of size `W`, the [arithmetic mean][arithmetic-mean] of absolute values is defined as 28 29 <!-- <equation class="equation" label="eq:arithmetic_mean_absolute_values" align="center" raw="\bar{x} = \frac{1}{W} \sum_{i=0}^{W-1} |x_i|" alt="Equation for the arithmetic mean of absolute values."> --> 30 31 <div class="equation" align="center" data-raw-text="\bar{x} = \frac{1}{W} \sum_{i=0}^{W-1} |x_i|" data-equation="eq:arithmetic_mean_absolute_values"> 32 <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@5861766629ac00280431b7afa773391cdfd116f1/lib/node_modules/@stdlib/stats/iter/mmeanabs/docs/img/equation_arithmetic_mean_absolute_values.svg" alt="Equation for the arithmetic mean of absolute values."> 33 <br> 34 </div> 35 36 <!-- </equation> --> 37 38 </section> 39 40 <!-- /.intro --> 41 42 <!-- Package usage documentation. --> 43 44 <section class="usage"> 45 46 ## Usage 47 48 ```javascript 49 var itermmeanabs = require( '@stdlib/stats/iter/mmeanabs' ); 50 ``` 51 52 #### itermmeanabs( iterator, W ) 53 54 Returns an [iterator][mdn-iterator-protocol] which iteratively computes a moving [arithmetic mean][arithmetic-mean] of absolute values. The `W` parameter defines the number of iterated values over which to compute the moving mean. 55 56 ```javascript 57 var array2iterator = require( '@stdlib/array/to-iterator' ); 58 59 var arr = array2iterator( [ 2.0, 1.0, 3.0, -7.0, -5.0 ] ); 60 var it = itermmeanabs( arr, 3 ); 61 62 // Fill the window... 63 var m = it.next().value; // [2.0] 64 // returns 2.0 65 66 m = it.next().value; // [2.0, 1.0] 67 // returns 1.5 68 69 m = it.next().value; // [2.0, 1.0, 3.0] 70 // returns 2.0 71 72 // Window begins sliding... 73 m = it.next().value; // [1.0, 3.0, -7.0] 74 // returns ~3.67 75 76 m = it.next().value; // [3.0, -7.0, -5.0] 77 // returns 5.0 78 ``` 79 80 </section> 81 82 <!-- /.usage --> 83 84 <!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 85 86 <section class="notes"> 87 88 ## Notes 89 90 - If an iterated value is non-numeric (including `NaN`), the function returns `NaN` for **at least** `W-1` future invocations. If non-numeric iterated values are possible, you are advised to provide an [`iterator`][mdn-iterator-protocol] which type checks and handles non-numeric values accordingly. 91 - As `W` values are needed to fill the window buffer, the first `W-1` returned values are calculated from smaller sample sizes. Until the window is full, each returned value is calculated from all previously iterated values. 92 93 </section> 94 95 <!-- /.notes --> 96 97 <!-- Package usage examples. --> 98 99 <section class="examples"> 100 101 ## Examples 102 103 <!-- eslint no-undef: "error" --> 104 105 ```javascript 106 var runif = require( '@stdlib/random/iter/uniform' ); 107 var itermmeanabs = require( '@stdlib/stats/iter/mmeanabs' ); 108 109 // Create an iterator for generating uniformly distributed pseudorandom numbers: 110 var rand = runif( -10.0, 10.0, { 111 'seed': 1234, 112 'iter': 100 113 }); 114 115 // Create an iterator for iteratively computing a moving arithmetic mean of absolute values: 116 var it = itermmeanabs( rand, 3 ); 117 118 // Perform manual iteration... 119 var v; 120 while ( true ) { 121 v = it.next(); 122 if ( typeof v.value === 'number' ) { 123 console.log( 'meanabs: %d', v.value ); 124 } 125 if ( v.done ) { 126 break; 127 } 128 } 129 ``` 130 131 </section> 132 133 <!-- /.examples --> 134 135 <!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 136 137 <section class="references"> 138 139 </section> 140 141 <!-- /.references --> 142 143 <!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 144 145 <section class="links"> 146 147 [arithmetic-mean]: https://en.wikipedia.org/wiki/Arithmetic_mean 148 149 [mdn-iterator-protocol]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Iteration_protocols#The_iterator_protocol 150 151 </section> 152 153 <!-- /.links -->