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[wpimath] Fix DARE Q decomposition (#5611)
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@@ -279,3 +279,21 @@ TEST(DARETest, ACNotDetectable_ABQRN) {
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EXPECT_THROW((frc::DARE<2, 2>(A, B, Q, R, N)), std::invalid_argument);
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}
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TEST(DARETest, QDecomposition) {
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// Ensures the decomposition of Q into CᵀC is correct
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const Eigen::Matrix2d A{{1.0, 0.0}, {0.0, 0.0}};
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const Eigen::Matrix2d B{Eigen::Matrix2d::Identity()};
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const Eigen::Matrix2d R{Eigen::Matrix2d::Identity()};
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// (A, C₁) should be detectable pair
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const Eigen::Matrix2d C_1{{0.0, 0.0}, {1.0, 0.0}};
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const Eigen::Matrix2d Q_1 = C_1.transpose() * C_1;
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EXPECT_NO_THROW((frc::DARE<2, 2>(A, B, Q_1, R)));
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// (A, C₂) shouldn't be detectable pair
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const Eigen::Matrix2d C_2 = C_1.transpose();
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const Eigen::Matrix2d Q_2 = C_2.transpose() * C_2;
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EXPECT_THROW((frc::DARE<2, 2>(A, B, Q_2, R)), std::invalid_argument);
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}
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