Description Arguments Details Value Author(s)

`hilbertMapping`

will compute the Hilbert index for each
row of a matrix of integer coordinates corresponding to sub-cubes in a high dimensional space.

`x` |
a matrix of a matrix of integer coordinates (see |

`bits` |
the hilbert order, |

Functions: TransposetoAxes AxestoTranspose Purpose: Transform in-place between Hilbert transpose and geometrical axes Example: b=5 bits for each of n=3 coordinates. 15-bit Hilbert integer = A B C D E F G H I J K L M N O is stored as its Transpose X[0] = A D G J M X[2]| X[1] = B E H K N <——-> | /X[1] X[2] = C F I L O axes |/ high low 0—— X[0] Axes are stored conventionally as b-bit integers. Author: John Skilling 20 Apr 2001 to 11 Oct 2003

The source code includes the correction suggested in the following StackOverflow discussion.

a vector of hilbert index, one for each line in `x`

Marilisa Neri

Yann Abraham

John Skilling

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