PetscDTBaryToIndex#

convert a barycentric coordinate to an index

Synopsis#

#include "petscdt.h" 
PetscErrorCode PetscDTBaryToIndex(PetscInt len, PetscInt sum, const PetscInt coord[], PetscInt *index)

Input Parameters#

len - the desired length of the barycentric tuple (usually 1 more than the dimension it represents, so a barycentric coordinate in a triangle has length 3)
sum - the value that the sum of the barycentric coordinates (which will be non-negative integers) should sum to
coord - a barycentric coordinate with the given length len and sum

Output Parameter#

index - the unique index for the coordinate, >= 0 and < Binomial(len - 1 + sum, sum)

Note#

The indices map to barycentric coordinates in lexicographic order, where the first index is the least significant and the last index is the most significant.

Level#

beginner

Location#

src/dm/dt/interface/dt.c

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