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diff --git a/spec/rubyspec/library/matrix/real_spec.rb b/spec/rubyspec/library/matrix/real_spec.rb
new file mode 100644
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+++ b/spec/rubyspec/library/matrix/real_spec.rb
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+require File.expand_path('../../../spec_helper', __FILE__)
+require File.expand_path('../fixtures/classes', __FILE__)
+require 'matrix'
+
+describe "Matrix#real?" do
+  it "returns true for matrices with all real entries" do
+    Matrix[ [1,   2], [3, 4] ].real?.should be_true
+    Matrix[ [1.9, 2], [3, 4] ].real?.should be_true
+  end
+
+  it "returns true for empty matrices" do
+    Matrix.empty.real?.should be_true
+  end
+
+  it "returns false if one element is a Complex" do
+    Matrix[ [Complex(1,1), 2], [3, 4] ].real?.should be_false
+  end
+
+  conflicts_with :CMath do
+    it "returns false if one element is a Complex whose imaginary part is 0" do
+      Matrix[ [Complex(1,0), 2], [3, 4] ].real?.should be_false
+    end
+  end
+end
+
+describe "Matrix#real" do
+  it "returns a matrix with the real part of the elements of the receiver" do
+    Matrix[ [1,   2], [3, 4] ].real.should == Matrix[ [1,   2], [3, 4] ]
+    Matrix[ [1.9, Complex(1,1)], [Complex(-0.42, 0), 4] ].real.should == Matrix[ [1.9, 1], [-0.42, 4] ]
+  end
+
+  it "returns empty matrices on the same size if empty" do
+    Matrix.empty(0, 3).real.should == Matrix.empty(0, 3)
+    Matrix.empty(3, 0).real.should == Matrix.empty(3, 0)
+  end
+
+  describe "for a subclass of Matrix" do
+    it "returns an instance of that subclass" do
+      MatrixSub.ins.real.should be_an_instance_of(MatrixSub)
+    end
+  end
+end