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Fix Hyperplane::Through(a,b,c) when points are aligned or identical. We use the stratgey as in Quaternion::setFromTwoVectors.
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@@ -100,7 +100,17 @@ public:
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{
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EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(VectorType, 3)
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Hyperplane result(p0.size());
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result.normal() = (p2 - p0).cross(p1 - p0).normalized();
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VectorType v0(p2 - p0), v1(p1 - p0);
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result.normal() = v0.cross(v1);
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RealScalar norm = result.normal().norm();
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if(norm <= v0.norm() * v1.norm() * NumTraits<RealScalar>::epsilon())
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{
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Matrix<Scalar,2,3> m; m << v0.transpose(), v1.transpose();
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JacobiSVD<Matrix<Scalar,2,3> > svd(m, ComputeFullV);
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result.normal() = svd.matrixV().col(2);
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}
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else
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result.normal() /= norm;
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result.offset() = -p0.dot(result.normal());
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return result;
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}
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