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bug #1304: fix Projective * scaling and Projective *= scaling

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(grafted from 86caba838d
)
This commit is contained in:
Gael Guennebaud
2016-09-23 13:41:21 +02:00
parent a60d71b840
commit 459dc4684e
3 changed files with 86 additions and 5 deletions
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79
test/geo_transformations.cpp
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@@ -320,6 +320,9 @@ template<typename Scalar, int Mode, int Options> void transformations()
t0.scale(v0);
t1 *= AlignedScaling3(v0);
VERIFY_IS_APPROX(t0.matrix(), t1.matrix());
t1 = AlignedScaling3(v0) * (Translation3(v0) * Transform3(q1));
t1 = t1 * v0.asDiagonal();
VERIFY_IS_APPROX(t0.matrix(), t1.matrix());
// transformation * translation
t0.translate(v0);
t1 = t1 * Translation3(v0);
@@ -437,6 +440,79 @@ template<typename Scalar, int Mode, int Options> void transformations()
Rotation2D<Scalar> r2(r1); // copy ctor
VERIFY_IS_APPROX(r2.angle(),s0);
}
{
Transform3 t32(Matrix4::Random()), t33, t34;
t34 = t33 = t32;
t32.scale(v0);
t33*=AlignedScaling3(v0);
VERIFY_IS_APPROX(t32.matrix(), t33.matrix());
t33 = t34 * AlignedScaling3(v0);
VERIFY_IS_APPROX(t32.matrix(), t33.matrix());
}
}
template<typename A1, typename A2, typename P, typename Q, typename V, typename H>
void transform_associativity_left(const A1& a1, const A2& a2, const P& p, const Q& q, const V& v, const H& h)
{
VERIFY_IS_APPROX( q*(a1*v), (q*a1)*v );
VERIFY_IS_APPROX( q*(a2*v), (q*a2)*v );
VERIFY_IS_APPROX( q*(p*h).hnormalized(), ((q*p)*h).hnormalized() );
}
template<typename A1, typename A2, typename P, typename Q, typename V, typename H>
void transform_associativity2(const A1& a1, const A2& a2, const P& p, const Q& q, const V& v, const H& h)
{
VERIFY_IS_APPROX( a1*(q*v), (a1*q)*v );
VERIFY_IS_APPROX( a2*(q*v), (a2*q)*v );
VERIFY_IS_APPROX( p *(q*v).homogeneous(), (p *q)*v.homogeneous() );
transform_associativity_left(a1, a2,p, q, v, h);
}
template<typename Scalar, int Dim, int Options,typename RotationType>
void transform_associativity(const RotationType& R)
{
typedef Matrix<Scalar,Dim,1> VectorType;
typedef Matrix<Scalar,Dim+1,1> HVectorType;
typedef Matrix<Scalar,Dim,Dim> LinearType;
typedef Matrix<Scalar,Dim+1,Dim+1> MatrixType;
typedef Transform<Scalar,Dim,AffineCompact,Options> AffineCompactType;
typedef Transform<Scalar,Dim,Affine,Options> AffineType;
typedef Transform<Scalar,Dim,Projective,Options> ProjectiveType;
typedef DiagonalMatrix<Scalar,Dim> ScalingType;
typedef Translation<Scalar,Dim> TranslationType;
AffineCompactType A1c; A1c.matrix().setRandom();
AffineCompactType A2c; A2c.matrix().setRandom();
AffineType A1(A1c);
AffineType A2(A2c);
ProjectiveType P1; P1.matrix().setRandom();
VectorType v1 = VectorType::Random();
VectorType v2 = VectorType::Random();
HVectorType h1 = HVectorType::Random();
Scalar s1 = internal::random<Scalar>();
LinearType L = LinearType::Random();
MatrixType M = MatrixType::Random();
CALL_SUBTEST( transform_associativity2(A1c, A1, P1, A2, v2, h1) );
CALL_SUBTEST( transform_associativity2(A1c, A1, P1, A2c, v2, h1) );
CALL_SUBTEST( transform_associativity2(A1c, A1, P1, v1.asDiagonal(), v2, h1) );
CALL_SUBTEST( transform_associativity2(A1c, A1, P1, ScalingType(v1), v2, h1) );
CALL_SUBTEST( transform_associativity2(A1c, A1, P1, Scaling(v1), v2, h1) );
CALL_SUBTEST( transform_associativity2(A1c, A1, P1, Scaling(s1), v2, h1) );
CALL_SUBTEST( transform_associativity2(A1c, A1, P1, TranslationType(v1), v2, h1) );
CALL_SUBTEST( transform_associativity_left(A1c, A1, P1, L, v2, h1) );
CALL_SUBTEST( transform_associativity2(A1c, A1, P1, R, v2, h1) );
VERIFY_IS_APPROX( A1*(M*h1), (A1*M)*h1 );
VERIFY_IS_APPROX( A1c*(M*h1), (A1c*M)*h1 );
VERIFY_IS_APPROX( P1*(M*h1), (P1*M)*h1 );
VERIFY_IS_APPROX( M*(A1*h1), (M*A1)*h1 );
VERIFY_IS_APPROX( M*(A1c*h1), (M*A1c)*h1 );
VERIFY_IS_APPROX( M*(P1*h1), ((M*P1)*h1) );
}
template<typename Scalar> void transform_alignment()
@@ -517,5 +593,8 @@ void test_geo_transformations()
CALL_SUBTEST_7(( transform_products<double,3,RowMajor|AutoAlign>() ));
CALL_SUBTEST_7(( transform_products<float,2,AutoAlign>() ));
CALL_SUBTEST_8(( transform_associativity<double,2,ColMajor>(Rotation2D<double>(internal::random<double>()*double(EIGEN_PI))) ));
CALL_SUBTEST_8(( transform_associativity<double,3,ColMajor>(Quaterniond::UnitRandom()) ));
}
}