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polymorph.maths reviews and mentions
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Adding new types and operators to Lisp
If performance is a concern, then you would want to stick to CLHS provided simple-array and create appropriate types using deftype, and then dispatch on the types either by yourself, or by using something like polymorphic-functions and polymorph.maths.
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Common Lisp polymorphic stories.
Example: your equality polymorph here https://github.com/lisp-polymorph/polymorph.maths/blob/master/src/polymorph.maths.lisp
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The primary programming language of polymorph.maths is Common Lisp.
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