Institut für Astronomie und AstrophysikAbteilung AstronomieWaldhäuser Str. 64, D-72076 Tübingen, Germany |
CIC
Interpolate an irregularly sampled field using Cloud in Cell method
This function interpolates an irregularly sampled field to a regular grid using Cloud In Cell (nearest grid point gets weight 1-dngp, point on other side gets weight dngp, where dngp is the distance to the nearest grid point in units of the cell size).
Mathematical functions, Interpolation
Result = CIC, VALUE, POSX, NX[, POSY, NY, POSZ, NZ, AVERAGE = average, WRAPAROUND = wraparound, ISOLATED = isolated, NO_MESSAGE = no_message]
VALUE: Array of sample weights (field values). For e.g. a temperature field this would be the temperature and the keyword AVERAGE should be set. For e.g. a density field this could be either the particle mass (AVERAGE should not be set) or the density (AVERAGE should be set). POSX: Array of X coordinates of field samples, unit indices: [0,NX>. NX: Desired number of grid points in X-direction.
POSY: Array of Y coordinates of field samples, unit indices: [0,NY>. NY: Desired number of grid points in Y-direction. POSZ: Array of Z coordinates of field samples, unit indices: [0,NZ>. NZ: Desired number of grid points in Z-direction.
AVERAGE: Set this keyword if the nodes contain field samples (e.g. a temperature field). The value at each grid point will then be the weighted average of all the samples allocated to it. If this keyword is not set, the value at each grid point will be the weighted sum of all the nodes allocated to it (e.g. for a density field from a distribution of particles). (D=0). WRAPAROUND: Set this keyword if you want the first grid point to contain samples of both sides of the volume (see below). ISOLATED: Set this keyword if the data is isolated, i.e. not periodic. In that case total `mass' is not conserved. This keyword cannot be used in combination with the keyword WRAPAROUND. NO_MESSAGE: Suppress informational messages. Example of default allocation of nearest grid points: n0=4, *=gridpoint. 0 1 2 3 Index of gridpoints * * * * Grid points |---|---|---|---| Range allocated to gridpoints ([0.0,1.0> --> 0, etc.) 0 1 2 3 4 posx Example of ngp allocation for WRAPAROUND: n0=4, *=gridpoint. 0 1 2 3 Index of gridpoints * * * * Grid points |---|---|---|---|-- Range allocated to gridpoints ([0.5,1.5> --> 1, etc.) 0 1 2 3 4=0 posx
Prints that a CIC interpolation is being performed of x samples to y grid points, unless NO_MESSAGE is set.
Field data is assumed to be periodic with the sampled volume the basic cell, unless ISOLATED is set. All input arrays must have the same dimensions. Postition coordinates should be in `index units' of the desired grid: POSX=[0,NX>, etc. Keywords ISOLATED and WRAPAROUND cannot both be set.
Nearest grid point is determined for each sample. CIC weights are computed for each sample. Samples are interpolated to the grid. Grid point values are computed (sum or average of samples).
Use tsc.pro for a higher-order interpolation scheme, ngp.pro for a lower order interpolation scheme. A standard reference for these interpolation methods is: R.W. Hockney and J.W. Eastwood, Computer Simulations Using Particles (New York: McGraw-Hill, 1981).
nx=20 ny=10 posx=randomu(s,1000) posy=randomu(s,1000) value=posx^2+posy^2 field=cic(value,posx*nx,nx,posy*ny,ny,/average) surface,field,/lego
Written by Joop Schaye, Feb 1999. Avoid integer overflow for large dimensions P.Riley/W.Landsman Dec. 1999
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