如何在 mathematica 中为矩阵乘法重载 Times 和 Plus [英] how to overload Times and Plus for matrix multiplication in mathematica

问题描述

我想为mathematica中的矩阵乘法重载Times和Plus，例如，让Times成为BitAnd>，加为BitOr，然后做矩阵乘法.

I want to overload Times and Plus for matrix multiplication in mathematica, for example, let Times be BitAnd, and Plus be BitOr, then do the matrix multiplication.

有没有办法以一种简单的方式做到这一点，而无需重写我自己的矩阵乘法?

Is there anyway to do this in a simple way, without rewriting my own matrix multiplication?

谢谢.

推荐答案

问题是你想改变什么 - Times 和 Plus 或 的行为>点.通常，Block 技巧通常是最简单的方法.在这种情况下，由于 Dot 没有调用高级 Plus 或 Times，你可以这样做:

The question is what you want to alter - the behavior of Times and Plus, or Dot. Generally, Block trick is often the simplest way. In this case, since Dot does not call high-level Plus or Times, you can do:

mat1 = {{1,2},{3,4}};
mat2= {{5,6},{7,8}};
Block[{Dot = Inner[BitAnd,#1,#2,BitOr]&},
  mat1.mat2]

{{3,0},{5,2}}

但请注意，这是有效地重新实现矩阵乘法(使用 Inner) - 没有其他方法，因为 Dot 在内部实现并且不使用 Plus 或 Times.

But note that this is effectively re-implementing the matrix multiplication (using Inner) - there is no other way since Dot is implemented internally and does not use Plus or Times.

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