Mercurial > repos > public > sbplib
changeset 273:f688e2bdb74a feature/beams
grid: Added evalOn for scalar functions.
author | Jonatan Werpers <jonatan@werpers.com> |
---|---|
date | Tue, 06 Sep 2016 15:51:41 +0200 |
parents | 9fe423849525 |
children | ac8e00883986 |
files | +grid/evalOnScalar.m +grid/evalOnScalarTest.m |
diffstat | 2 files changed, 157 insertions(+), 0 deletions(-) [+] |
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diff -r 9fe423849525 -r f688e2bdb74a +grid/evalOnScalar.m --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+grid/evalOnScalar.m Tue Sep 06 15:51:41 2016 +0200 @@ -0,0 +1,39 @@ +% Takes a funciton and evaluates it on a grid to return a grid function in the +% form of a (n*k)x1 vector, where n is the number of grid points and k is the +% number of components of the function. +% g -- Grid to evaluate on. +% func -- Function to evaluate. May be a function handle or a constant. If +% it is a vector value it has to be provided as a column vector, +function gf = evalOn(g, func) + if ~isa(func, 'function_handle') + % We should have a constant. + if size(func,2) ~= 1 + error('grid:evalOn:VectorValuedWrongDim', 'A vector valued function must be given as a column vector') + end + + gf = repmat(func,[g.N, 1]); + return + end + % func should now be a function_handle + + % Get coordinates and convert to cell array for easier use as a parameter + x = g.points(); + X = {}; + for i = 1:size(x, 2) + X{i} = x(:,i); + end + + % Find the number of components + x0 = num2cell(x(1,:)); + f0 = func(x0{:}); + k = length(f0); + + if size(f0,2) ~= 1 + error('grid:evalOn:VectorValuedWrongDim', 'A vector valued function must be given as a column vector') + end + + gf = func(X{:}); + if k > 1 % Reorder so that componets sits together. + gf = reshape(reshape(gf, [g.N, k])', [g.N*k, 1]); + end +end \ No newline at end of file
diff -r 9fe423849525 -r f688e2bdb74a +grid/evalOnScalarTest.m --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+grid/evalOnScalarTest.m Tue Sep 06 15:51:41 2016 +0200 @@ -0,0 +1,118 @@ +function tests = evalOnScalarTest() + tests = functiontests(localfunctions); +end + +function testInputConstant(testCase) + in = { + 0, + 47, + 1, + [1; 2], + }; + + out = { + [0; 0; 0], + [47; 47; 47], + [1; 1; 1], + [1; 2; 1; 2; 1; 2], + }; + + g = getTestGrid('1d'); + + for i = 1:length(in) + gf = grid.evalOnScalar(g,in{i}); + testCase.verifyEqual(gf, out{i}); + end +end + +function testInputScalarFunction1d(testCase) + in = { + @(x)1+x*0, + @(x)x, + @(x)x.*x, + }; + + out = { + [1; 1; 1], + [0; 1; 2], + [0; 1; 4], + }; + + g = getTestGrid('1d'); + + for i = 1:length(in) + gf = grid.evalOnScalar(g,in{i}); + testCase.verifyEqual(gf, out{i}); + end +end + +function testInputScalarFunction2d(testCase) + in = { + @(x,y)1+x*0, + @(x,y)x-y, + @(x,y)x./(1+y), + }; + + out = { + [1; 1; 1; 1; 1; 1; 1; 1; 1], + [0; -1; -2; 1; 0; -1; 2; 1; 0], + [0; 0; 0; 1; 1/2; 1/3; 2; 1; 2/3], + }; + + g = getTestGrid('2d'); + + for i = 1:length(in) + gf = grid.evalOnScalar(g, in{i}); + testCase.verifyEqual(gf, out{i}); + end +end + + +function testInputVectorFunction(testCase) + g = getTestGrid('1d'); + in = @(x)[x; -2*x]; + out = [0; 0; 1; -2; 2; -4]; + + gf = grid.evalOnScalar(g,in); + testCase.verifyEqual(gf, out); + + g = getTestGrid('2d'); + in = @(x,y)[x.^2; -2*y]; + out = [ + 0; 0; + 0; -2; + 0; -4; + 1; 0; + 1; -2; + 1; -4; + 4; 0; + 4; -2; + 4; -4; + ]; + + gf = grid.evalOnScalar(g,in); + testCase.verifyEqual(gf, out); +end + + +function testInputErrorVectorValued(testCase) + in = { + [1,2,3], + @(x,y)[x,-y]; + }; + + g = getTestGrid('2d'); + + for i = 1:length(in) + testCase.verifyError(@()grid.evalOnScalar(g, in{i}),'grid:evalOnScalar:VectorValuedWrongDim',sprintf('in(%d) = %s',i,toString(in{i}))); + end +end + +function g = getTestGrid(d) + switch d + case '1d' + g = grid.equidistant(3,{0,2}); + case '2d' + g = grid.equidistant([3,3],{0,2},{0,2}); + end +end