Crate nd_interpolate

This crate provides linear and cubic interpolators for up to 4 dimensions

Functions

cubic_1D_grid

Four-point cubic interpolation of point (X) in a grid of Y-values. This function assumes that X is in the middle of the provided grid array (that is, X lies between local_4[1] and local_4[2]). X will be normalized with X - floor(X) where 0 equals local_4[1] and 0.999… approaches local_4[2], interpolating with a cubic spline.

cubic_2D_grid

16-point bi-cubic interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[1,1] in the grid and floor(coord)+1 represents index[2,2] in the grid

cubic_3D_grid

64-point tri-cubic interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[1,1,…] in the grid and floor(coord)+1 represents index[2,2,…] in the grid

cubic_4D_grid

256-point hyperdimensional-cubic interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[1,1,…] in the grid and floor(coord)+1 represents index[2,2,…] in the grid

cubic_5D_grid

1024-point hyperdimensional-cubic interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[1,1,…] in the grid and floor(coord)+1 represents index[2,2,…] in the grid

cubic_6D_grid

4096-point hyperdimensional-cubic interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[1,1,…] in the grid and floor(coord)+1 represents index[2,2,…] in the grid

cubic_7D_grid

16,384-point hyperdimensional-cubic interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[1,1,…] in the grid and floor(coord)+1 represents index[2,2,…] in the grid

cubic_8D_grid

65,536-point hyperdimensional-cubic interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[1,1,…] in the grid and floor(coord)+1 represents index[2,2,…] in the grid

cubic_9D_grid

262,144-point hyperdimensional-cubic interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[1,1,…] in the grid and floor(coord)+1 represents index[2,2,…] in the grid

cubic_10D_grid

1,048,576-point hyperdimensional-cubic interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[1,1,…] in the grid and floor(coord)+1 represents index[2,2,…] in the grid

linear_1D

two-point x,y linear interpolation

linear_2D_grid

four-point X,Y bi-linear interpolation in a grid, using the assumption that x and y are between the provided reference grid points

linear_3D_grid

eight-point X,Y,Z tri-linear interpolation in a grid, using the assumption that (X,Y,Z) is between the provided reference grid points

linear_4D_grid

sixteen-point X,Y,Z,W tetra-linear interpolation in a grid, using the assumption that (X,Y,Z,W) is between the provided reference grid points

linear_5D_grid

32-point hyperdimensional-linear interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[0,0,…] in the grid and floor(coord)+1 represents index[1,1,…] in the grid

linear_6D_grid

64-point hyperdimensional-linear interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[0,0,…] in the grid and floor(coord)+1 represents index[1,1,…] in the grid

linear_7D_grid

128-point hyperdimensional-linear interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[0,0,…] in the grid and floor(coord)+1 represents index[1,1,…] in the grid

linear_8D_grid

256-point hyperdimensional-linear interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[0,0,…] in the grid and floor(coord)+1 represents index[1,1,…] in the grid

linear_9D_grid

512-point hyperdimensional-linear interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[0,0,…] in the grid and floor(coord)+1 represents index[1,1,…] in the grid

linear_10D_grid

1024-point hyperdimensional-linear interpolation of a coordinate in a grid of values. This function assumes that coord is in the middle of the provided grid array, such that floor(coord) represents index[0,0,…] in the grid and floor(coord)+1 represents index[1,1,…] in the grid