clifford.BasisBladeOrder¶
- class clifford.BasisBladeOrder(bitmaps)[source]¶
Represents the storage order in memory of basis blade coefficients.
Bitmaps represent which basis vectors are present in a basis blade. For instance, in an algebra with basis vectors \(e_w, e_x, e_y, e_z\), the basis blade \(e_xz\) is represented with
0b1010
. Note that this appears reversed because binary numbers are written with the nth bit first.- index_to_bitmap¶
An array mapping storage indices to bitmaps.
- Type
- bitmap_to_indices¶
A reverse mapping of
index_to_bitmap
. If bitmaps are missing, this array contains-1
.- Type
- grades¶
An array mapping indices to the grade of the basis vector, that is the number of bits in the bitmap.
- Type
See also
- classmethod shortlex(n_vectors: int) → clifford._layout_helpers.BasisBladeOrder[source]¶
Get an optimized shortlex ordering.
This sorts basis blades first by grade, and then lexicographically.