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extend unit tests of Transform * MatrixBase and Transform * Homogeneous
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@ -87,15 +87,29 @@ template<typename Scalar,int Size> void homogeneous(void)
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m0.transpose().rowwise().homogeneous() * t3);
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// test product with a Transform object
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Transform<Scalar, Size, Affine> Rt;
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Matrix<Scalar, Size, Dynamic> pts, Rt_pts1;
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Transform<Scalar, Size, Affine> aff;
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Transform<Scalar, Size, AffineCompact> caff;
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Transform<Scalar, Size, Projective> proj;
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Matrix<Scalar, Size, Dynamic> pts;
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Matrix<Scalar, Size+1, Dynamic> pts1, pts2;
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Rt.setIdentity();
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pts.setRandom(Size,5);
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Rt_pts1 = Rt * pts.colwise().homogeneous();
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// std::cerr << (Rt_pts1 - pts).sum() << "\n";
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VERIFY_IS_MUCH_SMALLER_THAN( (Rt_pts1 - pts).sum(), Scalar(1));
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aff.affine().setRandom();
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proj = caff = aff;
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pts.setRandom(Size,internal::random<int>(1,20));
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pts1 = pts.colwise().homogeneous();
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VERIFY_IS_APPROX(aff * pts.colwise().homogeneous(), (aff * pts1).colwise().hnormalized());
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VERIFY_IS_APPROX(caff * pts.colwise().homogeneous(), (caff * pts1).colwise().hnormalized());
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VERIFY_IS_APPROX(proj * pts.colwise().homogeneous(), (proj * pts1));
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VERIFY_IS_APPROX((aff * pts1).colwise().hnormalized(), aff * pts);
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VERIFY_IS_APPROX((caff * pts1).colwise().hnormalized(), caff * pts);
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pts2 = pts1;
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pts2.row(Size).setRandom();
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VERIFY_IS_APPROX((aff * pts2).colwise().hnormalized(), aff * pts2.colwise().hnormalized());
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VERIFY_IS_APPROX((caff * pts2).colwise().hnormalized(), caff * pts2.colwise().hnormalized());
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VERIFY_IS_APPROX((proj * pts2).colwise().hnormalized(), (proj * pts2.colwise().hnormalized().colwise().homogeneous()).colwise().hnormalized());
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}
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void test_geo_homogeneous()
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