C ++中的符号计算 [英] symbolic computation in C++

问题描述

我需要在C ++中进行分析集成.例如，我应该集成这样的表达式:exp[I(x-y)]，I是一个虚数.

I need to do analytical integration in C++. For example, I should integrate expressions like this: exp[I(x-y)], I is an imaginary number.

如何在C ++中做到这一点?

How can I do this in C++?

我尝试了 GiNaC ，但是它可以集成多项式.我还尝试了 SymbolicC ++ .它可以集成sine，cosine或exp(x)和ln(x)之类的功能，但是功能不是很强大.例如，它不能集成x*ln(x)，而可以通过使用Mathematica或通过零件集成轻松获得x*ln(x).

I tried GiNaC but it can just integrate polynomials. I also tried SymbolicC++. It can integrate functions like sine, cosine or exp(x) and ln(x), but it is not very powerful. For example, it can not integrate x*ln(x) which can be easily obtained by use of Mathematica or by integration by parts.

是否还有其他能够进行符号计算的工具或库，例如C ++中的分析集成?

Are there any other tools or libraries which are able to do symbolic computation like analytical integration in C++?

推荐答案

如果您需要进行符号积分，那么可能不会比在mathematica或maxima中运行它更快地得到任何东西-它们已经被编写了(类似)C ++.因此，除非您的方程式有一个非常具体的公式，您可以用Mathematica或Maxima不能利用的方式，否则您可能会不走运-至少，您不会从这种方法中获得这种自定义操作现成的库.

If you need to do symbolic integration, then you're probably not going to get anything faster than running it in mathematica or maxima - they're already written in (something like) C++. So unless your equations have a very specific formulae that you can exploit in a way that Mathematica or Maxima can not then you're probably out of luck -- and at very least you're not going to get that kind of custom manipulation from an off-the-shelf library.

如果需要进行数值解，那么编写自己的代码以提高速度可能是有道理的. (我知道我是为生成PDE的数值解而做的.)

You may be justified in writing your own code to get a speed boost if you needed to do numerical solutions. ( I know that I did for generating numerical solutions to PDEs).

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