README.md (3166B)
1 <!-- 2 3 @license Apache-2.0 4 5 Copyright (c) 2018 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 # incrsumabs2 22 23 > Compute a sum of squared absolute values incrementally. 24 25 <section class="intro"> 26 27 The sum of squared absolute values is defined as 28 29 <!-- <equation class="equation" label="eq:sum_squared_absolute_values" align="center" raw="s = \sum_{i=0}^{n-1} x_i^2" alt="Equation for the sum of squared absolute values."> --> 30 31 <div class="equation" align="center" data-raw-text="s = \sum_{i=0}^{n-1} x_i^2" data-equation="eq:sum_squared_absolute_values"> 32 <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@5278c8e8327430b39dd12985f7dac6d5f8033d34/lib/node_modules/@stdlib/stats/incr/sumabs2/docs/img/equation_sum_squared_absolute_values.svg" alt="Equation for the sum of squared absolute values."> 33 <br> 34 </div> 35 36 <!-- </equation> --> 37 38 </section> 39 40 <!-- /.intro --> 41 42 <section class="usage"> 43 44 ## Usage 45 46 ```javascript 47 var incrsumabs2 = require( '@stdlib/stats/incr/sumabs2' ); 48 ``` 49 50 #### incrsumabs2() 51 52 Returns an accumulator `function` which incrementally computes a sum of squared absolute values. 53 54 ```javascript 55 var accumulator = incrsumabs2(); 56 ``` 57 58 #### accumulator( \[x] ) 59 60 If provided an input value `x`, the accumulator function returns an updated sum. If not provided an input value `x`, the accumulator function returns the current sum. 61 62 ```javascript 63 var accumulator = incrsumabs2(); 64 65 var sum = accumulator( 2.0 ); 66 // returns 4.0 67 68 sum = accumulator( -1.0 ); 69 // returns 5.0 70 71 sum = accumulator( -3.0 ); 72 // returns 14.0 73 74 sum = accumulator(); 75 // returns 14.0 76 ``` 77 78 </section> 79 80 <!-- /.usage --> 81 82 <section class="notes"> 83 84 ## Notes 85 86 - Input values are **not** type checked. If provided `NaN` or a value which, when used in computations, results in `NaN`, the accumulated value is `NaN` for **all** future invocations. If non-numeric inputs are possible, you are advised to type check and handle accordingly **before** passing the value to the accumulator function. 87 - For long running accumulations or accumulations of large numbers, care should be taken to prevent overflow. 88 89 </section> 90 91 <!-- /.notes --> 92 93 <section class="examples"> 94 95 ## Examples 96 97 <!-- eslint no-undef: "error" --> 98 99 ```javascript 100 var randu = require( '@stdlib/random/base/randu' ); 101 var incrsumabs2 = require( '@stdlib/stats/incr/sumabs2' ); 102 103 var accumulator; 104 var v; 105 var i; 106 107 // Initialize an accumulator: 108 accumulator = incrsumabs2(); 109 110 // For each simulated datum, update the sum... 111 for ( i = 0; i < 100; i++ ) { 112 v = ( randu()*100.0 ) - 50.0; 113 accumulator( v ); 114 } 115 console.log( accumulator() ); 116 ``` 117 118 </section> 119 120 <!-- /.examples --> 121 122 <section class="links"> 123 124 </section> 125 126 <!-- /.links -->