time-to-botec

Benchmark sampling in different programming languages
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README.md (4944B)


      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 # Set Low Word
     22 
     23 > Set the less significant 32 bits of a [double-precision floating-point number][ieee754].
     24 
     25 <section class="usage">
     26 
     27 ## Usage
     28 
     29 ```javascript
     30 var setLowWord = require( '@stdlib/number/float64/base/set-low-word' );
     31 ```
     32 
     33 #### setLowWord( x, low )
     34 
     35 Sets the less significant 32 bits (lower order word) of a [double-precision floating-point number][ieee754] `x` to a bit sequence represented by an unsigned 32-bit integer `low`. The returned `double` will have the same more significant 32 bits (higher order word) as `x`.
     36 
     37 ```javascript
     38 var low = 5 >>> 0; // => 00000000000000000000000000000101
     39 
     40 var x = 3.14e201; // => 0 11010011100 01001000001011000011 10010011110010110101100010000010
     41 
     42 var y = setLowWord( x, low ); // => 0 11010011100 01001000001011000011 00000000000000000000000000000101
     43 // returns 3.139998651394392e+201
     44 ```
     45 
     46 Setting the lower order bits of `NaN` or positive or negative `infinity` will return `NaN`, as `NaN` is [defined][ieee754] as a `double` whose exponent bit sequence is all ones and whose fraction can be any bit sequence **except** all zeros. Positive and negative `infinity` are [defined][ieee754] as `doubles` with an exponent bit sequence equal to all ones and a fraction equal to all zeros. Hence, changing the less significant bits of positive and negative `infinity` converts each value to `NaN`.
     47 
     48 ```javascript
     49 var PINF = require( '@stdlib/constants/float64/pinf' );
     50 var NINF = require( '@stdlib/constants/float64/ninf' );
     51 
     52 var low = 12345678;
     53 
     54 var y = setLowWord( PINF, low );
     55 // returns NaN
     56 
     57 y = setLowWord( NINF, low );
     58 // returns NaN
     59 
     60 y = setLowWord( NaN, low );
     61 // returns NaN
     62 ```
     63 
     64 </section>
     65 
     66 <!-- /.usage -->
     67 
     68 <section class="examples">
     69 
     70 ## Examples
     71 
     72 <!-- eslint no-undef: "error" -->
     73 
     74 ```javascript
     75 var pow = require( '@stdlib/math/base/special/pow' );
     76 var round = require( '@stdlib/math/base/special/round' );
     77 var randu = require( '@stdlib/random/base/randu' );
     78 var MAX_UINT32 = require( '@stdlib/constants/uint32/max' );
     79 var setLowWord = require( '@stdlib/number/float64/base/set-low-word' );
     80 
     81 var frac;
     82 var exp;
     83 var low;
     84 var x;
     85 var y;
     86 var i;
     87 
     88 // Generate a random double-precision floating-point number:
     89 frac = randu() * 10.0;
     90 exp = -round( randu() * 323.0 );
     91 x = frac * pow( 10.0, exp );
     92 
     93 // Replace the lower order word of `x` to generate new random numbers having the same higher order word...
     94 for ( i = 0; i < 100; i++ ) {
     95     low = round( randu()*MAX_UINT32 );
     96     y = setLowWord( x, low );
     97     console.log( 'x: %d. new low word: %d. y: %d.', x, low, y );
     98 }
     99 ```
    100 
    101 </section>
    102 
    103 <!-- /.examples -->
    104 
    105 <!-- C interface documentation. -->
    106 
    107 * * *
    108 
    109 <section class="c">
    110 
    111 ## C APIs
    112 
    113 <!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
    114 
    115 <section class="intro">
    116 
    117 </section>
    118 
    119 <!-- /.intro -->
    120 
    121 <!-- C usage documentation. -->
    122 
    123 <section class="usage">
    124 
    125 ### Usage
    126 
    127 ```c
    128 #include "stdlib/number/float64/base/set_low_word.h"
    129 ```
    130 
    131 #### stdlib_base_float64_set_low_word( low, \*x )
    132 
    133 Sets the less significant 32 bits of a double-precision floating-point number.
    134 
    135 ```c
    136 #include <stdint.h>
    137 
    138 uint32_t low = 1374389537;
    139 double x = 3.14;
    140 
    141 stdlib_base_float64_set_low_word( low, &x );
    142 ```
    143 
    144 The function accepts the following arguments:
    145 
    146 -   **low**: `[in] uint32_t` lower order word.
    147 -   **x**: `[in-out] double*` reference to (and destination for) a double-precision floating-point number.
    148 
    149 ```c
    150 void stdlib_base_float64_set_low_word( const uint32_t low, double *x );
    151 ```
    152 
    153 </section>
    154 
    155 <!-- /.usage -->
    156 
    157 <!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
    158 
    159 <section class="notes">
    160 
    161 </section>
    162 
    163 <!-- /.notes -->
    164 
    165 <!-- C API usage examples. -->
    166 
    167 <section class="examples">
    168 
    169 ### Examples
    170 
    171 ```c
    172 #include "stdlib/number/float64/base/set_low_word.h"
    173 #include <stdint.h>
    174 #include <stdio.h>
    175 
    176 int main() {
    177     uint32_t low[] = { 1374389535, 1374389545, 1374389555, 1374389565 };
    178     double x = 3.14;
    179 
    180     int i;
    181     for ( i = 0; i < 4; i++ ) {
    182         stdlib_base_float64_set_low_word( low[ i ], &x );
    183         printf( "low: %u => %.15lf\n", low[ i ], x );
    184     }
    185 }
    186 ```
    187 
    188 </section>
    189 
    190 <!-- /.examples -->
    191 
    192 </section>
    193 
    194 <!-- /.c -->
    195 
    196 <section class="links">
    197 
    198 [ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985
    199 
    200 </section>
    201 
    202 <!-- /.links -->