Oliver Eyton-Williams ee1e8abd87

feat(curriculum): restore seed + solution to Chinese (#40683 )

* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>

2021-01-12 19:31:00 -07:00

1.9 KiB

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id, title, challengeType, videoUrl, dashedName

id	title	challengeType	videoUrl	dashedName
5a23c84252665b21eecc7e76	伽玛功能	5		gamma-function

--description--

实现一个算法（或更多）来计算Gamma （$ \ Gamma $）函数（仅在实际字段中）。 Gamma功能可以定义为：

\\ Gamma（x）= \\ displaystyle \\ int_0 ^ \\ infty t ^ {x-1} e ^ { - t} dt

--hints--

gamma应该是一个功能。

assert(typeof gamma == 'function');

gamma("+tests[0]+")应该返回一个数字。

assert(typeof gamma(0.1) == 'number');

gamma("+tests[0]+")应该返回"+results[0]+" 。

assert.equal(round(gamma(0.1)), round(9.513507698668736));

gamma("+tests[1]+")应该返回"+results[1]+" 。

assert.equal(round(gamma(0.2)), round(4.590843711998803));

gamma("+tests[2]+")应该返回"+results[2]+" 。

assert.equal(round(gamma(0.3)), round(2.9915689876875904));

gamma("+tests[3]+")应该返回"+results[3]+" 。

assert.equal(round(gamma(0.4)), round(2.218159543757687));

gamma("+tests[4]+")应返回"+results[4]+" 。

assert.equal(round(gamma(0.5)), round(1.7724538509055159));

--seed--

--after-user-code--

function round(x) {
  return Number(x).toPrecision(13);
}

--seed-contents--

function gamma(x) {

}

--solutions--

function gamma(x) {
  var p = [0.99999999999980993, 676.5203681218851, -1259.1392167224028,
  771.32342877765313, -176.61502916214059, 12.507343278686905,
  -0.13857109526572012, 9.9843695780195716e-6, 1.5056327351493116e-7
  ];

  var g = 7;
  if (x < 0.5) {
    return Math.PI / (Math.sin(Math.PI * x) * gamma(1 - x));
  }

  x -= 1;
  var a = p[0];
  var t = x + g + 0.5;
  for (var i = 1; i < p.length; i++) {
  a += p[i] / (x + i);
  }

  var result=Math.sqrt(2 * Math.PI) * Math.pow(t, x + 0.5) * Math.exp(-t) * a;

  return result;
}

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