Indexing

See examples in idx.mw

Notations

• L::list(posint) lattice dimensions, single value implies [L$d] where d=nops(x)
• x::list(nonnegint) coordinate of a point, x[i]=0..L[i]-1, if x[i] is out of this range it is reduced
• n::posint index
• index/symmetric12 array symmetric with respect to the first two indexes

Procedures

• Dim2(A::{rtable,list}) upper limits of rtable or nops(list), see also ArrayDims, rtable_dims
• idL(x,L,$)::n enumerates points of a multidimensional lattice
• iidL(n,L,$)::x inverse of idL
• idI(m::integer)::n enumerates integers starting from zero
• iidI(n)::m inverse of idI
• idS(ij::[posint$2],$)::n 2D symmetric indexing function
• iidS(n,$)::ij inverse of idS, note that inverse symmetric indexings are not very efficient computationally because of square root operation
• idA(ij::[posint$2],$)::n 2D antisymmetric indexing function
• iidA(n,$)::ij inverse of idA
• idSS(ijkl::[posint$4],$)::[n1,n2] 4D doubly symmetric indexing function
• iidSS([n1,n2])::ijkl inverse of idSS
• nextpointS(x,$)::x symmetric iterator in multidimensional lattice