[Question] High dimensional algebras multiplication

[paketecuento]

Can you provide an example on how to accomplish geometric product between two 25-vector, for example?

M=e_{34589abcdeghlmnopqrvwxyz} * e_{1234567abcdefghijklmorstu}= (+/-)e_{126789fijknpqrstuvwxyz}

[godefv]

First, define your 25 basis vectors :

static constexpr auto e1="e1"_direction_positive; 
static constexpr auto e2="e2"_direction_positive; 
...

Then, do whatever operation you like on them :

auto e34589abcdeghlmnopqrvwxyz=e3*e4*e5*...*ez;
auto e1234567abcdefghijklmorstu=e1*e2*e3*...*eu;
auto M=e34589abcdeghlmnopqrvwxyz*e34589abcdeghlmnopqrvwxyz 
/* all this is resolved at compile time */

See https://github.com/godefv/math#example , the dimension does not matter at all, new types are generated by the compiler if needed.