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require File.expand_path('../../../spec_helper', __FILE__)
require 'matrix'
describe "Matrix.upper_triangular?" do
it "returns true for an upper triangular Matrix" do
Matrix[[1, 2, 3], [0, 2, 3], [0, 0, 3]].upper_triangular?.should be_true
Matrix.diagonal([1, 2, 3]).upper_triangular?.should be_true
Matrix[[1, 2], [0, 2], [0, 0], [0, 0]].upper_triangular?.should be_true
Matrix[[1, 2, 3, 4], [0, 2, 3, 4]].upper_triangular?.should be_true
end
it "returns false for a non upper triangular square Matrix" do
Matrix[[0, 0], [1, 0]].upper_triangular?.should be_false
Matrix[[1, 2, 3], [1, 2, 3], [1, 2, 3]].upper_triangular?.should be_false
Matrix[[0, 0], [0, 0], [0, 0], [0, 1]].upper_triangular?.should be_false
Matrix[[0, 0, 0, 0], [1, 0, 0, 0]].upper_triangular?.should be_false
end
it "returns true for an empty matrix" do
Matrix.empty(3,0).upper_triangular?.should be_true
Matrix.empty(0,3).upper_triangular?.should be_true
Matrix.empty(0,0).upper_triangular?.should be_true
end
end
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