require File.expand_path('../../../spec_helper', __FILE__)
require 'matrix'

ruby_version_is "1.9.3" do
  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
end
