time-to-botec

Benchmark sampling in different programming languages
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README.md (5320B)


      1 <!--
      2 
      3 @license Apache-2.0
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      5 Copyright (c) 2020 The Stdlib Authors.
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      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
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     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.
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     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 -->