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diff --git a/spec/ruby/library/matrix/orthogonal_spec.rb b/spec/ruby/library/matrix/orthogonal_spec.rb
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+require_relative '../../spec_helper'
+require 'matrix'
+
+describe "Matrix.orthogonal?" do
+ it "returns false for non orthogonal matrices" do
+ Matrix[[0, 1], [1, 2]].should_not.orthogonal?
+ Matrix[[1, 1, 0], [0, 1, 1], [1, 0, 1]].should_not.orthogonal?
+ end
+
+ it "returns true for orthogonal matrices" do
+ Matrix[[0, 1], [1, 0]].should.orthogonal?
+ 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 |rectangular_matrix|
+ -> {
+ rectangular_matrix.orthogonal?
+ }.should.raise(Matrix::ErrDimensionMismatch)
+ end
+ end
+end