time-to-botec

Benchmark sampling in different programming languages
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README.md (4875B)


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      3 @license Apache-2.0
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      5 Copyright (c) 2018 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
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     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
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     20 
     21 # ranks
     22 
     23 > Compute ranks for values of an array-like object.
     24 
     25 <section class="usage">
     26 
     27 ## Usage
     28 
     29 ```javascript
     30 var ranks = require( '@stdlib/stats/ranks' );
     31 ```
     32 
     33 #### ranks( arr\[, opts] )
     34 
     35 Returns the sample ranks of the elements in `arr`, which can be either an [`array`][mdn-array] or [`typed array`][mdn-typed-array].
     36 
     37 ```javascript
     38 var arr = [ 1.1, 2.0, 3.5, 0.0, 2.4 ];
     39 var out = ranks( arr );
     40 // returns [ 2, 3, 5, 1, 4 ]
     41 
     42 // Ties are averaged:
     43 arr = [ 2, 2, 1, 4, 3 ];
     44 out = ranks( arr );
     45 // returns [ 2.5, 2.5, 1, 5, 4 ];
     46 
     47 // Missing values are placed last:
     48 arr = [ null, 2, 2, 1, 4, 3, NaN, NaN ];
     49 out = ranks( arr );
     50 // returns [ 6, 2.5, 2.5, 1, 5, 4, 7 ,8 ]
     51 ```
     52 
     53 The function accepts the following options:
     54 
     55 -   **method**: `string` indicating how ties are handled. Can be one of the following values: `'average'`, `'min'`, `'max'`, `'ordinal'` and `'dense'`.  Default: `'average'`.
     56 -   **missing**: `string` specifying how missing values are handled. Must be either `'last'`, `'first'` or `'remove'`. Default: `'last'`.
     57 -   **encoding**: `array` holding all values which will be regarded as missing values. Default: `[ NaN, null]`.
     58 
     59 When all elements of the `array` are different, the ranks are uniquely determined. When there are equal elements (called _ties_), the `method` option determines how they are handled. The default, `'average'`, replace the ranks of the ties by their mean. Other possible options are `'min'` and `'max'`, which replace the ranks of the ties by their minimum and maximum, respectively. `'dense'` works like `'min'`, with the difference that the next highest element after a tie is assigned the next smallest integer. Finally, `ordinal` gives each element in `arr` a distinct rank, according to the position they appear in.
     60 
     61 ```javascript
     62 var data = [ 2, 2, 1, 4, 3 ];
     63 
     64 // Max method:
     65 var out = ranks( data, {
     66     'method': 'max'
     67 });
     68 // returns [ 3, 3, 1, 5, 4 ]
     69 
     70 // Min method:
     71 out = ranks( data, {
     72     'method': 'min'
     73 });
     74 // returns [ 2, 2, 1, 5, 4 ]
     75 
     76 // Ordinal method
     77 out = ranks( data, {
     78     'method': 'ordinal'
     79 });
     80 // returns [ 2, 3, 1, 5, 4 ]
     81 
     82 // Dense method:
     83 out = [ 2, 2, 1, 4, 3 ];
     84 out = ranks( data, {
     85     'method': 'dense'
     86 });
     87 // returns [ 2, 2, 1, 4, 3 ]
     88 ```
     89 
     90 The `missing` option is used to specify how to handle missing data. By default, `NaN` or `null` are treated as missing values. `'last'`specifies that missing values are placed last, `'first'` that the are assigned the lowest ranks and `'remove'` means that they are removed from the array before the ranks are calculated.
     91 
     92 ```javascript
     93 var data = [ NaN, 2, 2, 1, 4, 3, null, null ];
     94 
     95 var out = ranks( data, {
     96     'missing': 'first'
     97 });
     98 // returns [ 1, 5.5, 5.5, 4, 8, 7, 2, 3 ]
     99 
    100 out = ranks( data, {
    101     'missing': 'last'
    102 });
    103 // returns [ 6, 2.5, 2.5, 1, 5, 4, 7 ,8 ]
    104 
    105 out = ranks( data, {
    106     'missing': 'remove'
    107 });
    108 // returns [ 2.5, 2.5, 1, 5, 4 ]
    109 ```
    110 
    111 Custom encoding for missing values is supported via the `encoding` option, which allows to supply the function with an `array` of values which should be treated as missing.
    112 
    113 ```javascript
    114 var Int32Array = require( '@stdlib/array/int32' );
    115 
    116 var data = new Int32Array( [ 2, 1, -999, 3, 4 ] );
    117 
    118 var out = ranks( data, {
    119     'encoding': [ -999 ]
    120 });
    121 // returns [ 2, 1, 5, 3, 4 ]
    122 ```
    123 
    124 </section>
    125 
    126 <!-- /.usage -->
    127 
    128 <section class="examples">
    129 
    130 ## Examples
    131 
    132 <!-- eslint no-undef: "error" -->
    133 
    134 ```javascript
    135 var Int32Array = require( '@stdlib/array/int32' );
    136 var round = require( '@stdlib/math/base/special/round' );
    137 var randu = require( '@stdlib/random/base/randu' );
    138 var ranks = require( '@stdlib/stats/ranks' );
    139 
    140 var data;
    141 var out;
    142 var i;
    143 
    144 // Plain arrays...
    145 data = new Array( 10 );
    146 for ( i = 0; i < data.length; i++ ) {
    147     data[ i ] = round( randu()*10.0 );
    148 }
    149 
    150 out = ranks( data );
    151 // returns <array>
    152 
    153 // Typed arrays...
    154 data = new Int32Array( 10 );
    155 for ( i = 0; i < data.length; i++ ) {
    156     data[ i ] = randu() * 10.0;
    157 }
    158 
    159 out = ranks( data );
    160 // returns <array>
    161 ```
    162 
    163 </section>
    164 
    165 <!-- /.examples -->
    166 
    167 <section class="references">
    168 
    169 </section>
    170 
    171 <!-- /.references -->
    172 
    173 <section class="links">
    174 
    175 [mdn-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array
    176 
    177 [mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Typed_arrays
    178 
    179 </section>
    180 
    181 <!-- /.links -->