BiVector.net

biVector.net /tools

The online tools below allow you to generate code, explore Cayley tables and visualizations for arbitrary geometric algebras.

Click below to download the reference source code for the algebra you selected.
** These implementations are generated to be simple and small, ignoring computational and storage efficiency. Checkout /lib for efficient and mature libraries.

C++

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C#

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Rust

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Cayley Table

Instruction counts

Expression Evaluator

e1, 2e3, e13	Multivectors	a ^ b	Outer Product
a * b	Geometric Product	a & b	Regressive Product
a \| b	Inner Product	a << b	Left Contraction
a >>> b	Sandwich Product	!a	Dual
a.Grade(b)	Grade Selection	~a	Reverse
a.Normalized	Normalisation	E**(a)	Exponentiation

Result

result ..

C++

C#

Rust

Cayley Table Geometric Product Outer Product Inner Product Regressive Product Matrix Form GP Matrix Form OP

Instruction counts

Expression Evaluator

Cayley Table