73 lines
4.8 KiB
Markdown
73 lines
4.8 KiB
Markdown
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---
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title: Fractran
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id: 5a7dad05be01840e1778a0d1
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challengeType: 3
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videoUrl: ''
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localeTitle: Fractran
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---
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## Description
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<section id="description"><div class="rosetta"><p class="rosetta__paragraph"> <span class="rosetta__text--bold"><a class="rosetta__link--wiki" href="https://en.wikipedia.org/wiki/FRACTRAN" title="wp:FRACTRAN">FRACTRAN</a></span>是由数学家<a class="rosetta__link--wiki" href="https://en.wikipedia.org/wiki/John Horton Conway" title="wp:John Horton Conway">John Horton Conway</a>发明的图灵完备的深奥编程语言。 </p><br><p class="rosetta__paragraph"> FRACTRAN程序是正分数$ P =(f_1,f_2,\ ldots,f_m)$的有序列表,以及初始正整数输入$ n $。 </p><br><p class="rosetta__paragraph">该程序通过更新整数$ n $来运行,如下所示: </p><br><ul class="rosetta__unordered-list"><li class="rosetta__list-item--unordered">对于第一个分数$ f_i $,在$ nf_i $为整数的列表中,用$ nf_i $替换$ n $; </li><li class="rosetta__list-item--unordered">重复此规则,直到列表中没有分数乘以$ n $时产生整数,然后停止。 </li></ul><br><p class="rosetta__paragraph">康威为FRACTRAN提供了素数计划: </p><br><p class="rosetta__paragraph"> <span class="rosetta__text--indented">$ 17/91 $,$ 78/85 $,$ 19/51 $,$ 23/38 $,$ 29/33 $,$ 77/29 $,$ 95/23 $,$ 77/19 $,$ 1/17 $,$ 11/13 $, $ 13/11 $ $,$ 15/14 $,$ 15/2 $,$ 55/1 $</span> </p><br><p class="rosetta__paragraph">从$ n = 2 $开始,此FRACTRAN程序将$ n $更改为$ 15 = 2 \ times(15/2)$,然后$ 825 = 15 \ times(55/1)$,生成以下整数序列: </p><br><p class="rosetta__paragraph"> <span class="rosetta__text--indented">$ 2 $,$ 15 $,$ 825 $,$ 725 $,$ 1925 $,$ 2275 $,$ 425 $,$ 390 $,$ 330 $,$ 290 $,$ 770 $,$ \ ldots $</span> </p><br><p class="rosetta__paragraph"> 2之后,此序列包含以下2的幂: </p><br><p class="rosetta__paragraph"> <span class="rosetta__text--indented">$ 2 ^ 2 = 4 $,$ 2 ^ 3 = 8 $,$ 2 ^ 5 = 32 $,$ 2 ^ 7 = 128 $,$ 2 ^ {11} = 2048 $,$ 2 ^ {13} = 8192 $,$ 2 ^ {17 } = 131072 $,$ 2 ^ {19} = 524288 $,$ \ ldots $</span> </p><br><p class="rosetta__paragraph">这是2的主要权力。 </p><br><dl class="rosetta__description-list"><dt class="rosetta__description-title">任务: </dt></dl><p class="rosetta__paragraph">编写一个函数,将fractran程序作为字符串参数,并将程序的前10个数字作为数组返回。如果结果没有10个数字,则按原样返回数字。 </p></div></section>
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## Instructions
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<section id="instructions">
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>fractran</code>应该是一个功能。
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testString: 'assert(typeof fractran=="function","<code>fractran</code> should be a function.");'
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- text: '<code>fractran(""+tests[0]+"")</code>应该返回一个数组。'
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testString: 'assert(Array.isArray(fractran(tests[0])),"<code>fractran(""+tests[0]+"")</code> should return an array.");'
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- text: '<code>fractran(""+tests[0]+"")</code>应返回<code>"+JSON.stringify(results[0])+"</code> 。'
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testString: 'assert.deepEqual(fractran(tests[0]),results[0],"<code>fractran(""+tests[0]+"")</code> should return <code>"+JSON.stringify(results[0])+"</code>.");'
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- text: '<code>fractran(""+tests[1]+"")</code>应返回<code>"+JSON.stringify(results[1])+"</code> 。'
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testString: 'assert.deepEqual(fractran(tests[1]),results[1],"<code>fractran(""+tests[1]+"")</code> should return <code>"+JSON.stringify(results[1])+"</code>.");'
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- text: '<code>fractran(""+tests[2]+"")</code>应返回<code>"+JSON.stringify(results[2])+"</code> 。'
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testString: 'assert.deepEqual(fractran(tests[2]),results[2],"<code>fractran(""+tests[2]+"")</code> should return <code>"+JSON.stringify(results[2])+"</code>.");'
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- text: '<code>fractran(""+tests[3]+"")</code>应返回<code>"+JSON.stringify(results[3])+"</code> 。'
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testString: 'assert.deepEqual(fractran(tests[3]),results[3],"<code>fractran(""+tests[3]+"")</code> should return <code>"+JSON.stringify(results[3])+"</code>.");'
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- text: '<code>fractran(""+tests[4]+"")</code>应返回<code>"+JSON.stringify(results[4])+"</code> 。'
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testString: 'assert.deepEqual(fractran(tests[4]),results[4],"<code>fractran(""+tests[4]+"")</code> should return <code>"+JSON.stringify(results[4])+"</code>.");'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function fractran (progStr) {
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// Good luck!
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}
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```
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</div>
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### After Test
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<div id='js-teardown'>
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```js
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console.info('after the test');
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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