time-to-botec

Benchmark sampling in different programming languages
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README.md (3523B)

      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 # divide
     22 
     23 > Divide two complex numbers.
     24 
     25 <section class="intro">
     26 
     27 </section>
     28 
     29 <!-- /.intro -->
     30 
     31 <section class="usage">
     32 
     33 ## Usage
     34 
     35 ```javascript
     36 var cdiv = require( '@stdlib/math/base/ops/cdiv' );
     37 ```
     38 
     39 #### cdiv( \[out,] re1, im1, re2, im2 )
     40 
     41 Divides two `complex` numbers where each `complex` number is comprised of a **real** component `re` and an **imaginary** component `im`.
     42 
     43 ```javascript
     44 var v = cdiv( -13.0, -1.0, -2.0, 1.0 );
     45 // returns [ 5.0, 3.0 ]
     46 ```
     47 
     48 By default, the function returns real and imaginary components as a two-element `array`. To avoid unnecessary memory allocation, the function supports providing an output (destination) object.
     49 
     50 ```javascript
     51 var Float64Array = require( '@stdlib/array/float64' );
     52 
     53 var out = new Float64Array( 2 );
     54 
     55 var v = cdiv( out, -13.0, -1.0, -2.0, 1.0 );
     56 // returns <Float64Array>[ 5.0, 3.0 ]
     57 
     58 var bool = ( v === out );
     59 // returns true
     60 ```
     61 
     62 </section>
     63 
     64 <!-- /.usage -->
     65 
     66 <section class="examples">
     67 
     68 ## Examples
     69 
     70 <!-- eslint no-undef: "error" -->
     71 
     72 ```javascript
     73 var Complex128 = require( '@stdlib/complex/float64' );
     74 var randu = require( '@stdlib/random/base/randu' );
     75 var round = require( '@stdlib/math/base/special/round' );
     76 var real = require( '@stdlib/complex/real' );
     77 var imag = require( '@stdlib/complex/imag' );
     78 var cdiv = require( '@stdlib/math/base/ops/cdiv' );
     79 
     80 var re;
     81 var im;
     82 var z1;
     83 var z2;
     84 var z3;
     85 var o;
     86 var i;
     87 
     88 for ( i = 0; i < 100; i++ ) {
     89     re = round( randu()*100.0 ) - 50.0;
     90     im = round( randu()*100.0 ) - 50.0;
     91     z1 = new Complex128( re, im );
     92 
     93     re = round( randu()*100.0 ) - 50.0;
     94     im = round( randu()*100.0 ) - 50.0;
     95     z2 = new Complex128( re, im );
     96 
     97     o = cdiv( real(z1), imag(z1), real(z2), imag(z2) );
     98     z3 = new Complex128( o[ 0 ], o[ 1 ] );
     99 
    100     console.log( '(%s) / (%s) = %s', z1.toString(), z2.toString(), z3.toString() );
    101 }
    102 ```
    103 
    104 </section>
    105 
    106 <!-- /.examples -->
    107 
    108 * * *
    109 
    110 <section class="references">
    111 
    112 ## References
    113 
    114 -   Smith, Robert L. 1962. "Algorithm 116: Complex Division." _Commun. ACM_ 5 (8). New York, NY, USA: ACM: 435. doi:[10.1145/368637.368661][@smith:1962a].
    115 -   Stewart, G. W. 1985. "A Note on Complex Division." _ACM Trans. Math. Softw._ 11 (3). New York, NY, USA: ACM: 238–41. doi:[10.1145/214408.214414][@stewart:1985a].
    116 -   Priest, Douglas M. 2004. "Efficient Scaling for Complex Division." _ACM Trans. Math. Softw._ 30 (4). New York, NY, USA: ACM: 389–401. doi:[10.1145/1039813.1039814][@priest:2004a].
    117 -   Baudin, Michael, and Robert L. Smith. 2012. "A Robust Complex Division in Scilab." _arXiv_ abs/1210.4539 \[cs.MS] (October): 1–25. [&lt;https://arxiv.org/abs/1210.4539>][@baudin:2012a].
    118 
    119 </section>
    120 
    121 <!-- /.references -->
    122 
    123 <section class="links">
    124 
    125 [@smith:1962a]: https://doi.org/10.1145/368637.368661
    126 
    127 [@stewart:1985a]: https://doi.org/10.1145/214408.214414
    128 
    129 [@priest:2004a]: https://doi.org/10.1145/1039813.1039814
    130 
    131 [@baudin:2012a]: https://arxiv.org/abs/1210.4539
    132 
    133 </section>
    134 
    135 <!-- /.links -->