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require_relative '../../../spec_helper'
require 'matrix'
describe "Matrix::LUPDecomposition#solve" do
describe "for rectangular matrices" do
it "raises an error for singular matrices" do
a = Matrix[[1, 2, 3], [1, 3, 5], [2, 5, 8]]
lu = Matrix::LUPDecomposition.new(a)
-> {
lu.solve(a)
}.should raise_error(Matrix::ErrNotRegular)
end
describe "for non singular matrices" do
before :each do
@a = Matrix[[7, 8, 9], [14, 46, 51], [28, 82, 163]]
@lu = Matrix::LUPDecomposition.new(@a)
end
it "returns the appropriate empty matrix when given an empty matrix" do
@lu.solve(Matrix.empty(3,0)).should == Matrix.empty(3,0)
empty = Matrix::LUPDecomposition.new(Matrix.empty(0, 0))
empty.solve(Matrix.empty(0,3)).should == Matrix.empty(0,3)
end
it "returns the right matrix when given a matrix of the appropriate size" do
solution = Matrix[[1, 2, 3, 4], [0, 1, 2, 3], [-1, -2, -3, -4]]
values = Matrix[[-2, 4, 10, 16], [-37, -28, -19, -10], [-135, -188, -241, -294]] # == @a * solution
@lu.solve(values).should == solution
end
it "raises an error when given a matrix of the wrong size" do
values = Matrix[[1, 2, 3, 4], [0, 1, 2, 3]]
-> {
@lu.solve(values)
}.should raise_error(Matrix::ErrDimensionMismatch)
end
it "returns the right vector when given a vector of the appropriate size" do
solution = Vector[1, 2, -1]
values = Vector[14, 55, 29] # == @a * solution
@lu.solve(values).should == solution
end
it "raises an error when given a vector of the wrong size" do
values = Vector[14, 55]
-> {
@lu.solve(values)
}.should raise_error(Matrix::ErrDimensionMismatch)
end
end
end
end
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