README.md (2040B)
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 # Lucas Number 22 23 > Maximum safe [Lucas number][lucas-number] when stored in [double-precision floating-point][ieee754] format. 24 25 <section class="usage"> 26 27 ## Usage 28 29 ```javascript 30 var FLOAT64_MAX_SAFE_LUCAS = require( '@stdlib/constants/float64/max-safe-lucas' ); 31 ``` 32 33 #### FLOAT64_MAX_SAFE_LUCAS 34 35 The maximum [safe][safe-integers] [Lucas number][lucas-number] when stored in [double-precision floating-point][ieee754] format. 36 37 ```javascript 38 var bool = ( FLOAT64_MAX_SAFE_LUCAS === 7639424778862807 ); 39 // returns true 40 ``` 41 42 </section> 43 44 <!-- /.usage --> 45 46 <section class="examples"> 47 48 ## Examples 49 50 <!-- eslint no-undef: "error" --> 51 52 ```javascript 53 var FLOAT64_MAX_SAFE_LUCAS = require( '@stdlib/constants/float64/max-safe-lucas' ); 54 55 var v; 56 var i; 57 58 function lucas( n ) { 59 var a; 60 var b; 61 var c; 62 var i; 63 64 a = 2; 65 if ( n === 0 ) { 66 return a; 67 } 68 b = 1; 69 for ( i = 2; i <= n; i++ ) { 70 c = a + b; 71 a = b; 72 b = c; 73 } 74 return b; 75 } 76 77 for ( i = 0; i < 100; i++ ) { 78 v = lucas( i ); 79 if ( v > FLOAT64_MAX_SAFE_LUCAS ) { 80 console.log( 'Unsafe: %d', v ); 81 } else { 82 console.log( 'Safe: %d', v ); 83 } 84 } 85 ``` 86 87 </section> 88 89 <!-- /.examples --> 90 91 <section class="links"> 92 93 [safe-integers]: http://www.2ality.com/2013/10/safe-integers.html 94 95 [lucas-number]: https://en.wikipedia.org/wiki/Lucas_number 96 97 [ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985 98 99 </section> 100 101 <!-- /.links -->