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annotate +grid/evalOn.m @ 1037:2d7ba44340d0 feature/burgers1d

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Pass scheme specific parameters as cell array. This will enabale constructDiffOps to be more general. In addition, allow for schemes returning function handles as diffOps, which is currently how non-linear schemes such as Burgers1d are implemented.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 18 Jan 2019 09:02:02 +0100
parents 77451445955f
children
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30321dc180e1 Fixed documentation for Curvilinear and evalOn.
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1 % Takes a function and evaluates it on a grid to return a grid function in the
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2 % form of a (n*k)x1 vector, where n is the number of grid points and k is the
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3 % number of components of the function.
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4 % g -- Grid to evaluate on.
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5 % func -- Function to evaluate. May be a function handle or a constant. If
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6 % it is a vector value it has to be provided as a column vector,
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7 function gf = evalOn(g, func)
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8 if ~isa(func, 'function_handle')
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9 % We should have a constant.
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10 assert(size(func,2) == 1,'grid:evalOn:VectorValuedWrongDim', 'A vector valued function must be given as a column vector');
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12 gf = repmat(func,[g.N, 1]);
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13 return
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14 end
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15 % func should now be a function_handle
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16 assert(g.D == nargin(func) || nargin(func) < 0,'grid:evalOn:WrongNumberOfInputs', 'The number of inputs of the function must match the dimension of the domain.')
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17
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18 x = num2cell(g.points(),1);
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19 k = numberOfComponents(func, g.D);
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21 gf = func(x{:});
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22 gf = reorderComponents(gf, k);
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23 end
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25 % Find the number of vector components of func
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26 function k = numberOfComponents(func, dim)
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27 x0 = num2cell(ones(1, dim));
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28 f0 = func(x0{:});
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29 assert(size(f0,2) == 1, 'grid:evalOn:VectorValuedWrongDim', 'A vector valued function must be given as a column vector');
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30 k = length(f0);
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31 end
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33 % Reorder the components of the function to sit together
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34 function gf = reorderComponents(a, k)
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35 N = length(a)/k;
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36 gf = zeros(N*k, 1);
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37 for i = 1:k
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38 gf(i:k:end) = a((i-1)*N + 1 : i*N);
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39 end
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40 end