README.md (5643B)
1 <!-- 2 3 @license Apache-2.0 4 5 Copyright (c) 2020 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 # mskrange 22 23 > Calculate the [range][range] of a strided array according to a mask. 24 25 <section class="intro"> 26 27 The [**range**][range] is defined as the difference between the maximum and minimum values. 28 29 </section> 30 31 <!-- /.intro --> 32 33 <section class="usage"> 34 35 ## Usage 36 37 ```javascript 38 var mskrange = require( '@stdlib/stats/base/mskrange' ); 39 ``` 40 41 #### mskrange( N, x, strideX, mask, strideMask ) 42 43 Computes the [range][range] of a strided array `x` according to a `mask`. 44 45 ```javascript 46 var x = [ 1.0, -2.0, 4.0, 2.0 ]; 47 var mask = [ 0, 0, 1, 0 ]; 48 49 var v = mskrange( x.length, x, 1, mask, 1 ); 50 // returns 4.0 51 ``` 52 53 The function has the following parameters: 54 55 - **N**: number of indexed elements. 56 - **x**: input [`Array`][mdn-array] or [`typed array`][mdn-typed-array]. 57 - **strideX**: index increment for `x`. 58 - **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. 59 - **strideMask**: index increment for `mask`. 60 61 The `N` and `stride` parameters determine which elements are accessed at runtime. For example, to compute the [range][range] of every other element in `x`, 62 63 ```javascript 64 var floor = require( '@stdlib/math/base/special/floor' ); 65 66 var x = [ 1.0, 2.0, -7.0, -2.0, 4.0, 3.0, 5.0, 6.0 ]; 67 var mask = [ 0, 0, 0, 0, 0, 0, 1, 1 ]; 68 var N = floor( x.length / 2 ); 69 70 var v = mskrange( N, x, 2, mask, 2 ); 71 // returns 11.0 72 ``` 73 74 Note that indexing is relative to the first index. To introduce offsets, use [`typed array`][mdn-typed-array] views. 75 76 <!-- eslint-disable stdlib/capitalized-comments --> 77 78 ```javascript 79 var Float64Array = require( '@stdlib/array/float64' ); 80 var Uint8Array = require( '@stdlib/array/uint8' ); 81 var floor = require( '@stdlib/math/base/special/floor' ); 82 83 var x0 = new Float64Array( [ 2.0, 1.0, -2.0, -2.0, 3.0, 4.0, 5.0, 6.0 ] ); 84 var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element 85 86 var mask0 = new Uint8Array( [ 0, 0, 0, 0, 0, 0, 1, 1 ] ); 87 var mask1 = new Uint8Array( mask0.buffer, mask0.BYTES_PER_ELEMENT*1 ); // start at 2nd element 88 89 var N = floor( x0.length / 2 ); 90 91 var v = mskrange( N, x1, 2, mask1, 2 ); 92 // returns 6.0 93 ``` 94 95 #### mskrange.ndarray( N, x, strideX, offsetX, mask, strideMask, offsetMask ) 96 97 Computes the [range][range] of a strided array according to a `mask` and using alternative indexing semantics. 98 99 ```javascript 100 var x = [ 1.0, -2.0, 4.0, 2.0 ]; 101 var mask = [ 0, 0, 1, 0 ]; 102 103 var v = mskrange.ndarray( x.length, x, 1, 0, mask, 1, 0 ); 104 // returns 4.0 105 ``` 106 107 The function has the following additional parameters: 108 109 - **offsetX**: starting index for `x`. 110 - **offsetMask**: starting index for `mask`. 111 112 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 [range][range] for every other value in `x` starting from the second value 113 114 ```javascript 115 var floor = require( '@stdlib/math/base/special/floor' ); 116 117 var x = [ 2.0, 1.0, -2.0, -2.0, 3.0, 4.0, 5.0, 6.0 ]; 118 var mask = [ 0, 0, 0, 0, 0, 0, 1, 1 ]; 119 var N = floor( x.length / 2 ); 120 121 var v = mskrange.ndarray( N, x, 2, 1, mask, 2, 1 ); 122 // returns 6.0 123 ``` 124 125 </section> 126 127 <!-- /.usage --> 128 129 <section class="notes"> 130 131 ## Notes 132 133 - If `N <= 0`, both functions return `NaN`. 134 - Depending on the environment, the typed versions ([`dmskrange`][@stdlib/stats/base/dmskrange], [`smskrange`][@stdlib/stats/base/smskrange], etc.) are likely to be significantly more performant. 135 136 </section> 137 138 <!-- /.notes --> 139 140 <section class="examples"> 141 142 ## Examples 143 144 <!-- eslint no-undef: "error" --> 145 146 ```javascript 147 var randu = require( '@stdlib/random/base/randu' ); 148 var round = require( '@stdlib/math/base/special/round' ); 149 var Float64Array = require( '@stdlib/array/float64' ); 150 var Uint8Array = require( '@stdlib/array/uint8' ); 151 var mskrange = require( '@stdlib/stats/base/mskrange' ); 152 153 var mask; 154 var x; 155 var i; 156 157 x = new Float64Array( 10 ); 158 mask = new Uint8Array( x.length ); 159 for ( i = 0; i < x.length; i++ ) { 160 if ( randu() < 0.2 ) { 161 mask[ i ] = 1; 162 } else { 163 mask[ i ] = 0; 164 } 165 x[ i ] = round( (randu()*100.0) - 50.0 ); 166 } 167 console.log( x ); 168 console.log( mask ); 169 170 var v = mskrange( x.length, x, 1, mask, 1 ); 171 console.log( v ); 172 ``` 173 174 </section> 175 176 <!-- /.examples --> 177 178 <section class="links"> 179 180 [range]: https://en.wikipedia.org/wiki/Range_%28statistics%29 181 182 [mdn-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array 183 184 [mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray 185 186 [@stdlib/stats/base/dmskrange]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/dmskrange 187 188 [@stdlib/stats/base/smskrange]: https://www.npmjs.com/package/@stdlib/stats/tree/main/base/smskrange 189 190 </section> 191 192 <!-- /.links -->