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+/*
+Copyright 2018 Google Inc. All Rights Reserved.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+ http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS-IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+*/
+
+#include "utils/pseudoinverse.h"
+
+#include "third_party/googletest/googletest/include/gtest/gtest.h"
+#include "base/constants_and_types.h"
+
+namespace vraudio {
+
+namespace {
+
+// Tests that the pseudoinverse of an invertible square matrix is equal to the
+// inverse of that matrix.
+TEST(PseudoinverseTest, SquareInverse) {
+ Eigen::Matrix<double, 5, 5> invertible_matrix;
+ invertible_matrix << 0.8478, 0.1676, 0.1961, 0.2654, 0.7662, 0.0279, 0.5309,
+ 0.2043, 0.4947, 0.0918, 0.1367, 0.4714, 0.7113, 0.246, 0.8048, 0.9617,
+ 0.4378, 0.0259, 0.536, 0.9565, 0.1541, 0.6275, 0.8471, 0.1133, 0.8074;
+ ASSERT_NE(0.0, invertible_matrix.determinant());
+
+ auto pseudoinverse = Pseudoinverse(invertible_matrix);
+ auto inverse = invertible_matrix.inverse();
+
+ EXPECT_TRUE(pseudoinverse.isApprox(inverse, kEpsilonDouble))
+ << "Pseudoinverse: \n"
+ << pseudoinverse << " should be within " << kEpsilonDouble
+ << " of inverse: \n"
+ << inverse;
+}
+
+// Tests that the pseudoinverse of a full-rank matrix with more rows than
+// columns works successfully.
+TEST(PseudoinverseTest, PseudoinverseMoreRows) {
+ Eigen::Matrix<double, 5, 4> invertible_matrix;
+ invertible_matrix << 0.8478, 0.1676, 0.1961, 0.2654, 0.0279, 0.5309, 0.2043,
+ 0.4947, 0.1367, 0.4714, 0.7113, 0.246, 0.9617, 0.4378, 0.0259, 0.536,
+ 0.1541, 0.6275, 0.8471, 0.1133;
+
+ auto pseudoinverse = Pseudoinverse(invertible_matrix);
+ auto should_be_identity = pseudoinverse * invertible_matrix;
+
+ EXPECT_TRUE(should_be_identity.isApprox(
+ decltype(should_be_identity)::Identity(should_be_identity.rows(),
+ should_be_identity.cols()),
+ kEpsilonDouble))
+ << "Matrix should be within " << kEpsilonDouble
+ << " of an identity matrix: \n"
+ << should_be_identity;
+}
+
+// Tests that the pseudoinverse of a full-rank matrix with more columns than
+// rows works successfully.
+TEST(PseudoinverseTest, PseudoinverseMoreColumns) {
+ Eigen::Matrix<double, 4, 5> invertible_matrix;
+ invertible_matrix << 0.8478, 0.1676, 0.1961, 0.2654, 0.7662, 0.0279, 0.5309,
+ 0.2043, 0.4947, 0.0918, 0.1367, 0.4714, 0.7113, 0.246, 0.8048, 0.9617,
+ 0.4378, 0.0259, 0.536, 0.9565;
+
+ auto pseudoinverse = Pseudoinverse(invertible_matrix);
+ auto should_be_identity = invertible_matrix * pseudoinverse;
+
+ EXPECT_TRUE(should_be_identity.isApprox(
+ decltype(should_be_identity)::Identity(should_be_identity.rows(),
+ should_be_identity.cols()),
+ kEpsilonDouble))
+ << "Matrix should be within " << kEpsilonDouble
+ << " of an identity matrix: \n"
+ << should_be_identity;
+}
+
+} // namespace
+
+} // namespace vraudio