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fix linearRegression, fix doc, add unit test (it was untested since the change
making fitHyperplane no longer use it)
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@ -57,7 +57,7 @@
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Vector3d coeffs; // will store the coefficients a, b, c
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linearRegression(
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5,
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points,
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&points,
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&coeffs,
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1 // the coord to express as a function of
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// the other ones. 0 means x, 1 means y, 2 means z.
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@ -108,14 +108,14 @@ void linearRegression(int numPoints,
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result->resize(size);
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Matrix<Scalar, Dynamic, VectorType::SizeAtCompileTime,
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Dynamic, VectorType::MaxSizeAtCompileTime, RowMajorBit>
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RowMajor, Dynamic, VectorType::MaxSizeAtCompileTime>
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m(numPoints, size);
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if(funcOfOthers>0)
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for(int i = 0; i < numPoints; ++i)
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m.row(i).start(funcOfOthers) = points[i]->start(funcOfOthers);
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if(funcOfOthers<size-1)
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for(int i = 0; i < numPoints; ++i)
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m.row(i).block(funcOfOthers, size-funcOfOthers-1)
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m.row(i).segment(funcOfOthers, size-funcOfOthers-1)
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= points[i]->end(size-funcOfOthers-1);
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for(int i = 0; i < numPoints; ++i)
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m.row(i).coeffRef(size-1) = Scalar(1);
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@ -62,6 +62,20 @@ void makeNoisyCohyperplanarPoints(int numPoints,
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*(points[i]) += noiseAmplitude * VectorType::Random(size);
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}
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template<typename VectorType>
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void check_linearRegression(int numPoints,
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VectorType **points,
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const VectorType& original,
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typename VectorType::Scalar tolerance)
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{
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int size = points[0]->size();
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assert(size==2);
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VectorType result(size);
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linearRegression(numPoints, points, &result, 1);
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typename VectorType::Scalar error = (result - original).norm() / original.norm();
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VERIFY(ei_abs(error) < ei_abs(tolerance));
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}
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template<typename VectorType,
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typename HyperplaneType>
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void check_fitHyperplane(int numPoints,
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@ -81,6 +95,20 @@ void test_regression()
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{
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for(int i = 0; i < g_repeat; i++)
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{
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{
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Vector2f points2f [1000];
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Vector2f *points2f_ptrs [1000];
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for(int i = 0; i < 1000; i++) points2f_ptrs[i] = &(points2f[i]);
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Vector2f coeffs2f;
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Hyperplane<float,2> coeffs3f;
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makeNoisyCohyperplanarPoints(1000, points2f_ptrs, &coeffs3f, 0.01f);
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coeffs2f[0] = -coeffs3f.coeffs()[0]/coeffs3f.coeffs()[1];
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coeffs2f[1] = -coeffs3f.coeffs()[2]/coeffs3f.coeffs()[1];
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CALL_SUBTEST(check_linearRegression(10, points2f_ptrs, coeffs2f, 0.05f));
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CALL_SUBTEST(check_linearRegression(100, points2f_ptrs, coeffs2f, 0.01f));
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CALL_SUBTEST(check_linearRegression(1000, points2f_ptrs, coeffs2f, 0.002f));
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}
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{
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Vector2f points2f [1000];
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Vector2f *points2f_ptrs [1000];
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