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