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C++实现的一个可以写递归lambda的Y函数

时间:2020-11-10 16:15:56 | 栏目:C代码 | 点击:

最近学习C++11的variadic template argument,终于可以摆脱用fpmacro模板来复制一大堆代码的做法了,好开心。这个例子的main函数用lambda写了一个斐波那契数列的递归计算函数。跟以往不同的是,在Y函数的帮助下,这个lambda表达是可以成功看到自己,然后递归调用。当然这仍然需要用普通的C++递归来实现,并不是λ-calculus那个高大上的Y Combinator。

#include <functional>
#include <memory>
#include <iostream>
#include <string>

using namespace std;

template<typename TResult, typename ...TArgs>
class YBuilder
{

private:

  function<TResult(function<TResult(TArgs...)>, TArgs...)> partialLambda;

public:

  YBuilder(function<TResult(function<TResult(TArgs...)>, TArgs...)> _partialLambda)

    :partialLambda(_partialLambda)

  {

  }

  TResult operator()(TArgs ...args)const

  {

    return partialLambda(

      [this](TArgs ...args)

      {

        return this->operator()(args...);

      }, args...);

  }

};

template<typename TMethod>

struct PartialLambdaTypeRetriver

{

  typedef void FunctionType;

  typedef void LambdaType;

  typedef void YBuilderType;

};

template<typename TClass, typename TResult, typename ...TArgs>

struct PartialLambdaTypeRetriver<TResult(__thiscall TClass::*)(function<TResult(TArgs...)>, TArgs...)>
{

  typedef TResult FunctionType(TArgs...);

  typedef TResult LambdaType(function<TResult(TArgs...)>, TArgs...);

  typedef YBuilder<TResult, TArgs...> YBuilderType;

};


template<typename TClass, typename TResult, typename ...TArgs>

struct PartialLambdaTypeRetriver<TResult(__thiscall TClass::*)(function<TResult(TArgs...)>, TArgs...)const>

{

  typedef TResult FunctionType(TArgs...);

  typedef TResult LambdaType(function<TResult(TArgs...)>, TArgs...);

  typedef YBuilder<TResult, TArgs...> YBuilderType;

};

 

template<typename TLambda>

function<typename PartialLambdaTypeRetriver<decltype(&TLambda::operator())>::FunctionType> Y(TLambda partialLambda)

{

  return typename PartialLambdaTypeRetriver<decltype(&TLambda::operator())>::YBuilderType(partialLambda);

}

 

int _tmain(int argc, _TCHAR* argv[])

{

  auto fib = Y([](function<int(int)> self, int index)

  {

    return index<2

      ?1

      :self(index-1)+self(index-2);

  });

 

  for (int i = 0; i < 10; i++)
  {

    cout << fib(i) << " ";

  }

  cout << endl;

}

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