C++ 中的代数算术包？
我正在寻找一个与 C++ 兼容的包，可以使用代数进行算术运算。 （注意：代数数是指具有整数系数的多项式的根的数字，因此它不以十进制或有理表达式形式给出）。
Mathematica 将代数数作为“根对象”处理，由具有选择根的多项式表示。然后可以对两个这样的根对象进行相加、相乘等操作，然后进行约减，得到一个新的根对象。
有没有一些软件可以用 C++ 做同样的事情？我见过一些奇特的数论包，它们通过数字字段扩展来做各种事情，但我更喜欢简单的东西，而不是只用代数数做基本算术，即加法、减法、乘法、除法、归约、测试相等性。 。
I am looking for a C++-compatible package that can do arithmetic with algebraic numbers. (Note: an algebraic number means a number that is a root of a polynomial with integer coefficients, so it is not given as a decimal or rational expression).
Mathematica handles algebraic numbers as "root objects", which are represented by polynomials with a choice of root. Then two such root objects can be added, multiplied, etc, and then reduced, to get a new root object.
Is there some software that does the same thing in C++? I have seen some fancy number theory packages that do various things with number field extensions, but I would prefer something simple than can just do basic arithmetic with algebraic numbers, i.e. addition, subtraction, multipication, division, reducing, testing for equality. .
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Givaro：用于算术和代数计算的 C++ 库
Givaro: C++ library for arithmetic and algebraic computations
Mathematica 有一种与 C++ 交互的方法。如果这对你有用，我会推荐这种方法，因为你的需求可能过于本地化，无法找到一个已经拥有你需要的一切但没有太多其他东西的包。
http://reference.wolfram.com/mathematica/guide/CLanguageInterface.html
Mathematica has a way of interfacing with C++. If this could work for you, I would recommend this method, as your needs may be too localized to find a package which already has everything you need and not much else.
http://reference.wolfram.com/mathematica/guide/CLanguageInterface.html