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

ruby_version_is "1.9.3" do
  describe "Matrix.orthogonal?" do
    it "returns false for non orthogonal matrices" do
      Matrix[[0, 1], [1, 2]].orthogonal?.should == false
      Matrix[[1, 1, 0], [0, 1, 1], [1, 0, 1]].orthogonal?.should == false
    end
  
    it "returns true for orthogonal matrices" do
      Matrix[[0, 1], [1, 0]].orthogonal?.should == true
    end

    it "raises an error for rectangular matrices" do
      [
        Matrix[[0], [0]],
        Matrix[[0, 0]],
        Matrix.empty(0, 2),
        Matrix.empty(2, 0),
      ].each do |rectangual_matrix|
        lambda {
          rectangual_matrix.orthogonal?
        }.should raise_error(Matrix::ErrDimensionMismatch)
      end
    end
  end
end
