Loop tiling

TODO

Nd tiling using Space-Filling Curve

• Generating Families of Practical Fast Matrix Multiplication Algorithms,

  • From FLAME/BLIS, Morton indexing (Z-order curve)
  • Strassen Matrix Multiplication
  • https://arxiv.org/pdf/1611.01120.pdf

• The effect of reordering multi-dimensional array data on CPU cache utilisation

  • https://www.cs.sfu.ca/~torsten/Publications/Thesis/ghane.pdf

    zorder64_inv:
        movabsq $0x5555555555555555, %rax
        pextq   %rax, %rcx, %rdx
        shrq    %rcx
        pextq   %rax, %rcx, %rcx
        shlq    $32, %rcx
        movl    %edx, %eax
        orq     %rcx, %rax
        retq

    zorder64:
        movl    %ecx, %eax
        movabsq $0x5555555555555555, %r8
        pdepq   %r8, %rax, %rcx
        movl    %edx, %eax
        pdepq   %r8, %rax, %rax
        addq    %rax, %rax
        orq     %rcx, %rax
        retq