Mercurial > repos > public > sbplib_julia
annotate EquidistantGrid.jl @ 51:614b56a017b9
Split grid.jl into AbstractGrid.jl and EquidistantGrid.jl
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Fri, 11 Jan 2019 11:55:13 +0100 |
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children | 8c6db1f6d8e0 |
rev | line source |
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51
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Split grid.jl into AbstractGrid.jl and EquidistantGrid.jl
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1 # EquidistantGrid is a grid with equidistant grid spacing per coordinat |
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2 # direction. The domain is defined through the two points P1 = x̄₁, P2 = x̄₂ |
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3 # by the exterior product of the vectors obtained by projecting (x̄₂-x̄₁) onto |
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4 # the coordinate directions. E.g for a 2D grid with x̄₁=(-1,0) and x̄₂=(1,2) |
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5 # the domain is defined as (-1,1)x(0,2). |
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6 struct EquidistantGrid <: AbstractGrid |
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7 numberOfPointsPerDim::Tuple # First coordinate direction stored first, then |
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8 # second, then third. |
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9 limits::NTuple{2,Tuple} # Stores the two points which defines the range of |
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10 # the e.g (-1,0) and (1,2) for a domain of size |
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11 # (-1,1)x(0,2) |
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12 |
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13 # General constructor |
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14 function EquidistantGrid(nPointsPerDim::Tuple, lims::NTuple{2,Tuple}) |
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15 @assert length(nPointsPerDim) > 0 |
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16 @assert count(x -> x > 0, nPointsPerDim) == length(nPointsPerDim) |
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17 @assert length(lims[1]) == length(nPointsPerDim) |
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18 @assert length(lims[2]) == length(nPointsPerDim) |
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19 # TODO: Assert that the same values are not passed in both lims[1] and lims[2] |
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20 # i.e the domain length is positive for all dimensions |
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21 return new(nPointsPerDim, lims) |
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22 end |
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23 # 1D constructor which can be called as EquidistantGrid(m, (xl,xr)) |
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24 function EquidistantGrid(nPointsPerDim::Integer, lims::NTuple{2,Real}) |
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25 return EquidistantGrid((nPointsPerDim,), ((lims[1],),(lims[2],))) |
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26 end |
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27 |
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28 end |
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29 |
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30 # Returns the number of dimensions of an EquidistantGrid. |
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31 # |
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32 # @Input: grid - an EquidistantGrid |
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33 # @Return: numberOfPoints - The number of dimensions |
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34 function numberOfDimensions(grid::EquidistantGrid) |
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35 return length(grid.numberOfPointsPerDim) |
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36 end |
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37 |
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38 # Computes the total number of points of an EquidistantGrid. |
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39 # |
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40 # @Input: grid - an EquidistantGrid |
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41 # @Return: numberOfPoints - The total number of points |
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42 function numberOfPoints(grid::EquidistantGrid) |
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43 numberOfPoints = grid.numberOfPointsPerDim[1]; |
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44 for i = 2:length(grid.numberOfPointsPerDim); |
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45 numberOfPoints = numberOfPoints*grid.numberOfPointsPerDim[i] |
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46 end |
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47 return numberOfPoints |
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48 end |
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49 |
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50 # Computes the grid spacing of an EquidistantGrid, i.e the unsigned distance |
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51 # between two points for each coordinate direction. |
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52 # |
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53 # @Input: grid - an EquidistantGrid |
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54 # @Return: h̄ - Grid spacing for each coordinate direction stored in a tuple. |
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55 function spacings(grid::EquidistantGrid) |
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56 h̄ = Vector{Real}(undef, numberOfDimensions(grid)) |
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57 for i ∈ eachindex(h̄) |
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58 h̄[i] = abs(grid.limits[2][i]-grid.limits[1][i])/(grid.numberOfPointsPerDim[i]-1) |
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59 end |
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60 return Tuple(h̄) |
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61 end |
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62 |
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63 # Computes the points of an EquidistantGrid as a vector of tuples. The vector is ordered |
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64 # such that points in the first coordinate direction varies first, then the second |
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65 # and lastely the third (if applicable) |
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66 # |
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67 # @Input: grid - an EquidistantGrid |
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68 # @Return: points - the points of the grid. |
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69 function points(grid::EquidistantGrid) |
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70 # Compute signed grid spacings |
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71 dx̄ = Vector{Real}(undef, numberOfDimensions(grid)) |
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72 for i ∈ eachindex(dx̄) |
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73 dx̄[i] = (grid.limits[2][i]-grid.limits[1][i])/(grid.numberOfPointsPerDim[i]-1) |
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74 end |
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75 dx̄ = Tuple(dx̄) |
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76 |
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77 points = Vector{NTuple{numberOfDimensions(grid),Real}}(undef, numberOfPoints(grid)) |
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78 # Compute the points based on their Cartesian indices and the signed |
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79 # grid spacings |
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80 cartesianIndices = CartesianIndices(grid.numberOfPointsPerDim) |
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81 for i ∈ 1:numberOfPoints(grid) |
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82 ci = Tuple(cartesianIndices[i]) .-1 |
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83 points[i] = grid.limits[1] .+ dx̄.*ci |
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84 end |
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85 # TBD: Keep? this? How do we want to represent points in 1D? |
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86 if numberOfDimensions(grid) == 1 |
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87 points = broadcast(x -> x[1], points) |
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88 end |
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89 return points |
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90 end |
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91 |
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92 function pointsalongdim(grid::EquidistantGrid, dim::Integer) |
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93 @assert dim<=numberOfDimensions(grid) |
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94 @assert dim>0 |
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95 points = range(grid.limits[1][dim],stop=grid.limits[2][dim],length=grid.numberOfPointsPerDim[dim]) |
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96 end |
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97 |
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98 using PyPlot, PyCall |
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99 # using Plots; pyplot() |
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100 |
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101 function plotgridfunction(grid::EquidistantGrid, gridfunction) |
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102 if numberOfDimensions(grid) == 1 |
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103 plot(pointsalongdim(grid,1), gridfunction, linewidth=2.0) |
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104 elseif numberOfDimensions(grid) == 2 |
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105 mx = grid.numberOfPointsPerDim[1]; |
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106 my = grid.numberOfPointsPerDim[2]; |
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107 x = pointsalongdim(grid,1) |
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108 X = repeat(x,1,my) |
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109 y = pointsalongdim(grid,2) |
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110 Y = repeat(y,1,mx) |
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111 # plot_surface(X,Y,reshape(gridfunction,mx,my)) |
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112 fig = figure() |
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113 ax = fig[:add_subplot](1,1,1, projection = "3d") |
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114 ax[:plot_surface](X,Y,reshape(gridfunction,mx,my)) |
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115 plt[:show]() |
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116 else |
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117 error(string("Plot not implemented for dimension ", string(numberOfDimensions(grid)))) |
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118 end |
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119 end |