README.md (5320B)
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 # dnanasum 22 23 > Calculate the sum of absolute values ([_L1_ norm][l1norm]) of double-precision floating-point strided array elements, ignoring `NaN` values. 24 25 <section class="intro"> 26 27 The [_L1_ norm][l1norm] is defined as 28 29 <!-- <equation class="equation" label="eq:l1norm" align="center" raw="\|\mathbf{x}\|_1 = \sum_{i=0}^{n-1} \vert x_i \vert" alt="L1 norm definition."> --> 30 31 <div class="equation" align="center" data-raw-text="\|\mathbf{x}\|_1 = \sum_{i=0}^{n-1} \vert x_i \vert" data-equation="eq:l1norm"> 32 <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@37e8b551d14d17010e51f87e3e171e62c090fa5f/lib/node_modules/@stdlib/blas/ext/base/dnanasum/docs/img/equation_l1norm.svg" alt="L1 norm definition."> 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 dnanasum = require( '@stdlib/blas/ext/base/dnanasum' ); 48 ``` 49 50 #### dnanasum( N, x, stride ) 51 52 Computes the sum of absolute values ([_L1_ norm][l1norm]) of double-precision floating-point strided array elements, ignoring `NaN` values. 53 54 ```javascript 55 var Float64Array = require( '@stdlib/array/float64' ); 56 57 var x = new Float64Array( [ 1.0, -2.0, NaN, 2.0 ] ); 58 var N = x.length; 59 60 var v = dnanasum( N, x, 1 ); 61 // returns 5.0 62 ``` 63 64 The function has the following parameters: 65 66 - **N**: number of indexed elements. 67 - **x**: input [`Float64Array`][@stdlib/array/float64]. 68 - **stride**: index increment for `x`. 69 70 The `N` and `stride` parameters determine which elements in `x` are accessed at runtime. For example, to compute the sum of absolute values ([_L1_ norm][l1norm]) every other element in `x`, 71 72 ```javascript 73 var Float64Array = require( '@stdlib/array/float64' ); 74 var floor = require( '@stdlib/math/base/special/floor' ); 75 76 var x = new Float64Array( [ 1.0, 2.0, NaN, -7.0, NaN, 3.0, 4.0, 2.0 ] ); 77 var N = floor( x.length / 2 ); 78 79 var v = dnanasum( N, x, 2 ); 80 // returns 5.0 81 ``` 82 83 Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views. 84 85 <!-- eslint-disable stdlib/capitalized-comments --> 86 87 ```javascript 88 var Float64Array = require( '@stdlib/array/float64' ); 89 var floor = require( '@stdlib/math/base/special/floor' ); 90 91 var x0 = new Float64Array( [ 2.0, 1.0, NaN, -2.0, -2.0, 2.0, 3.0, 4.0 ] ); 92 var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element 93 94 var N = floor( x0.length / 2 ); 95 96 var v = dnanasum( N, x1, 2 ); 97 // returns 9.0 98 ``` 99 100 #### dnanasum.ndarray( N, x, stride, offset ) 101 102 Computes the sum of absolute values ([_L1_ norm][l1norm]) of double-precision floating-point strided array elements, ignoring `NaN` values and using alternative indexing semantics. 103 104 ```javascript 105 var Float64Array = require( '@stdlib/array/float64' ); 106 107 var x = new Float64Array( [ 1.0, -2.0, NaN, 2.0 ] ); 108 var N = x.length; 109 110 var v = dnanasum.ndarray( N, x, 1, 0 ); 111 // returns 5.0 112 ``` 113 114 The function has the following additional parameters: 115 116 - **offset**: starting index for `x`. 117 118 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 sum of absolute values ([_L1_ norm][l1norm]) every other value in `x` starting from the second value 119 120 ```javascript 121 var Float64Array = require( '@stdlib/array/float64' ); 122 var floor = require( '@stdlib/math/base/special/floor' ); 123 124 var x = new Float64Array( [ 2.0, 1.0, NaN, -2.0, -2.0, 2.0, 3.0, 4.0 ] ); 125 var N = floor( x.length / 2 ); 126 127 var v = dnanasum.ndarray( N, x, 2, 1 ); 128 // returns 9.0 129 ``` 130 131 </section> 132 133 <!-- /.usage --> 134 135 <section class="notes"> 136 137 ## Notes 138 139 - If `N <= 0`, both functions return `0.0`. 140 141 </section> 142 143 <!-- /.notes --> 144 145 <section class="examples"> 146 147 ## Examples 148 149 <!-- eslint no-undef: "error" --> 150 151 ```javascript 152 var randu = require( '@stdlib/random/base/randu' ); 153 var round = require( '@stdlib/math/base/special/round' ); 154 var Float64Array = require( '@stdlib/array/float64' ); 155 var dnanasum = require( '@stdlib/blas/ext/base/dnanasum' ); 156 157 var x; 158 var i; 159 160 x = new Float64Array( 10 ); 161 for ( i = 0; i < x.length; i++ ) { 162 if ( randu() < 0.2 ) { 163 x[ i ] = NaN; 164 } else { 165 x[ i ] = round( randu()*100.0 ); 166 } 167 } 168 console.log( x ); 169 170 var v = dnanasum( x.length, x, 1 ); 171 console.log( v ); 172 ``` 173 174 </section> 175 176 <!-- /.examples --> 177 178 <section class="references"> 179 180 </section> 181 182 <!-- /.references --> 183 184 <section class="links"> 185 186 [@stdlib/array/float64]: https://www.npmjs.com/package/@stdlib/array-float64 187 188 [mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray 189 190 [l1norm]: http://en.wikipedia.org/wiki/Norm_%28mathematics%29 191 192 </section> 193 194 <!-- /.links -->