forked from Archive/PX4-Autopilot
Catch quaternion canonical corner cases (#116)
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@ -367,11 +367,13 @@ public:
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Quaternion canonical() const
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{
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const Quaternion &q = *this;
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if (q(0) < Type(0)) {
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return Quaternion(-q(0),-q(1),-q(2),-q(3));
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} else {
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return Quaternion(q(0),q(1),q(2),q(3));
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for (size_t i = 0; i < 4; i++) {
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if (fabs(q(i)) > FLT_EPSILON) {
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return q * Type(matrix::sign(q(i)));
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}
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}
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return q;
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}
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/**
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@ -78,4 +78,10 @@ Type wrap_2pi(Type x)
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return wrap(x, Type(0), Type(M_TWOPI));
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}
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template<typename T>
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int sign(T val)
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{
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return (T(FLT_EPSILON) < val) - (val < T(FLT_EPSILON));
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}
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} // namespace matrix
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@ -255,15 +255,55 @@ int main()
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TEST(fabs(q_check(3) + q(3)) < eps);
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// quaternion canonical
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Quatf q_non_canonical(-0.7f,0.4f, 0.3f, -0.3f);
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Quatf q_canonical(0.7f,-0.4f, -0.3f, 0.3f);
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Quatf q_canonical_ref(0.7f,-0.4f, -0.3f, 0.3f);
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TEST(isEqual(q_non_canonical.canonical(),q_canonical_ref));
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TEST(isEqual(q_canonical.canonical(),q_canonical_ref));
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q_non_canonical.canonicalize();
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q_canonical.canonicalize();
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TEST(isEqual(q_non_canonical,q_canonical_ref));
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TEST(isEqual(q_canonical,q_canonical_ref));
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Quatf q_non_canonical_1(-0.7f,0.4f, 0.3f, -0.3f);
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Quatf q_canonical_1(0.7f,-0.4f, -0.3f, 0.3f);
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Quatf q_canonical_ref_1(0.7f,-0.4f, -0.3f, 0.3f);
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TEST(isEqual(q_non_canonical_1.canonical(),q_canonical_ref_1));
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TEST(isEqual(q_canonical_1.canonical(),q_canonical_ref_1));
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q_non_canonical_1.canonicalize();
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q_canonical_1.canonicalize();
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TEST(isEqual(q_non_canonical_1,q_canonical_ref_1));
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TEST(isEqual(q_canonical_1,q_canonical_ref_1));
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Quatf q_non_canonical_2(0.0f, -1.0f, 0.0f, 0.0f);
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Quatf q_canonical_2(0.0f, 1.0f, 0.0f, 0.0f);
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Quatf q_canonical_ref_2(0.0f, 1.0f, 0.0f, 0.0f);
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TEST(isEqual(q_non_canonical_2.canonical(),q_canonical_ref_2));
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TEST(isEqual(q_canonical_2.canonical(),q_canonical_ref_2));
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q_non_canonical_2.canonicalize();
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q_canonical_2.canonicalize();
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TEST(isEqual(q_non_canonical_2,q_canonical_ref_2));
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TEST(isEqual(q_canonical_2,q_canonical_ref_2));
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Quatf q_non_canonical_3(0.0f, 0.0f, -1.0f, 0.0f);
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Quatf q_canonical_3(0.0f, 0.0f, 1.0f, 0.0f);
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Quatf q_canonical_ref_3(0.0f, 0.0f, 1.0f, 0.0f);
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TEST(isEqual(q_non_canonical_3.canonical(),q_canonical_ref_3));
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TEST(isEqual(q_canonical_3.canonical(),q_canonical_ref_3));
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q_non_canonical_3.canonicalize();
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q_canonical_3.canonicalize();
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TEST(isEqual(q_non_canonical_3,q_canonical_ref_3));
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TEST(isEqual(q_canonical_3,q_canonical_ref_3));
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Quatf q_non_canonical_4(0.0f, 0.0f, 0.0f, -1.0f);
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Quatf q_canonical_4(0.0f, 0.0f, 0.0f, 1.0f);
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Quatf q_canonical_ref_4(0.0f, 0.0f, 0.0f, 1.0f);
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TEST(isEqual(q_non_canonical_4.canonical(),q_canonical_ref_4));
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TEST(isEqual(q_canonical_4.canonical(),q_canonical_ref_4));
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q_non_canonical_4.canonicalize();
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q_canonical_4.canonicalize();
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TEST(isEqual(q_non_canonical_4,q_canonical_ref_4));
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TEST(isEqual(q_canonical_4,q_canonical_ref_4));
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Quatf q_non_canonical_5(0.0f, 0.0f, 0.0f, 0.0f);
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Quatf q_canonical_5(0.0f, 0.0f, 0.0f, 0.0f);
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Quatf q_canonical_ref_5(0.0f, 0.0f, 0.0f, 0.0f);
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TEST(isEqual(q_non_canonical_5.canonical(),q_canonical_ref_5));
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TEST(isEqual(q_canonical_5.canonical(),q_canonical_ref_5));
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q_non_canonical_5.canonicalize();
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q_canonical_5.canonicalize();
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TEST(isEqual(q_non_canonical_5,q_canonical_ref_5));
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TEST(isEqual(q_canonical_5,q_canonical_ref_5));
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// quaternion setIdentity
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Quatf q_nonIdentity(-0.7f, 0.4f, 0.5f, -0.3f);
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@ -15,7 +15,7 @@ int main()
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float eps = 1e-6f;
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// Vector3 copyTo
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Vector3f v(1, 2, 3);
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const Vector3f v(1, 2, 3);
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float dst3[3] = {};
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v.copyTo(dst3);
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for (size_t i = 0; i < 3; i++) {
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