Crate nd_interpolate

source ·
Expand description

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