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Add unit test for LinSpaced and complex numbers.

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This commit is contained in:
Gael Guennebaud 2019-02-18 22:03:47 +01:00
parent 796db94e6e
commit e23bf40dc2
1 changed files with 20 additions and 18 deletions
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38
test/nullary.cpp
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@ -70,7 +70,7 @@ void testVectorType(const VectorType& base)
Scalar high = internal::random<Scalar>(-500,500);
Scalar low = (size == 1 ? high : internal::random<Scalar>(-500,500));
if (low>high) std::swap(low,high);
if (numext::real(low)>numext::real(high)) std::swap(low,high);
// check low==high
if(internal::random<float>(0.f,1.f)<0.05f)
@ -79,7 +79,7 @@ void testVectorType(const VectorType& base)
else if(size>2 && std::numeric_limits<RealScalar>::max_exponent10>0 && internal::random<float>(0.f,1.f)<0.1f)
low = -internal::random<Scalar>(1,2) * RealScalar(std::pow(RealScalar(10),std::numeric_limits<RealScalar>::max_exponent10/2));
const Scalar step = ((size == 1) ? 1 : (high-low)/(size-1));
const Scalar step = ((size == 1) ? 1 : (high-low)/RealScalar(size-1));
// check whether the result yields what we expect it to do
VectorType m(base);
@ -89,21 +89,22 @@ void testVectorType(const VectorType& base)
{
VectorType n(size);
for (int i=0; i<size; ++i)
n(i) = low+i*step;
n(i) = low+RealScalar(i)*step;
VERIFY_IS_APPROX(m,n);
CALL_SUBTEST( check_extremity_accuracy(m, low, high) );
}
if((!NumTraits<Scalar>::IsInteger) || ((high-low)>=size && (Index(high-low)%(size-1))==0) || (Index(high-low+1)<size && (size%Index(high-low+1))==0))
RealScalar range_length = numext::real(high-low);
if((!NumTraits<Scalar>::IsInteger) || (range_length>=size && (Index(range_length)%(size-1))==0) || (Index(range_length+1)<size && (size%Index(range_length+1))==0))
{
VectorType n(size);
if((!NumTraits<Scalar>::IsInteger) || (high-low>=size))
if((!NumTraits<Scalar>::IsInteger) || (range_length>=size))
for (int i=0; i<size; ++i)
n(i) = size==1 ? low : (low + ((high-low)*Scalar(i))/(size-1));
n(i) = size==1 ? low : (low + ((high-low)*Scalar(i))/RealScalar(size-1));
else
for (int i=0; i<size; ++i)
n(i) = size==1 ? low : low + Scalar((double(high-low+1)*double(i))/double(size));
n(i) = size==1 ? low : low + Scalar((double(range_length+1)*double(i))/double(size));
VERIFY_IS_APPROX(m,n);
// random access version
@ -116,12 +117,12 @@ void testVectorType(const VectorType& base)
CALL_SUBTEST( check_extremity_accuracy(m, low, high) );
}
VERIFY( m(m.size()-1) <= high );
VERIFY( (m.array() <= high).all() );
VERIFY( (m.array() >= low).all() );
VERIFY( numext::real(m(m.size()-1)) <= numext::real(high) );
VERIFY( (m.array().real() <= numext::real(high)).all() );
VERIFY( (m.array().real() >= numext::real(low)).all() );
VERIFY( m(m.size()-1) >= low );
VERIFY( numext::real(m(m.size()-1)) >= numext::real(low) );
if(size>=1)
{
VERIFY( internal::isApprox(m(0),low) );
@ -135,7 +136,7 @@ void testVectorType(const VectorType& base)
col_vector.setLinSpaced(size,low,high);
// when using the extended precision (e.g., FPU) the relative error might exceed 1 bit
// when computing the squared sum in isApprox, thus the 2x factor.
VERIFY( row_vector.isApprox(col_vector.transpose(), Scalar(2)*NumTraits<Scalar>::epsilon()));
VERIFY( row_vector.isApprox(col_vector.transpose(), RealScalar(2)*NumTraits<Scalar>::epsilon()));
Matrix<Scalar,Dynamic,1> size_changer(size+50);
size_changer.setLinSpaced(size,low,high);
@ -157,18 +158,18 @@ void testVectorType(const VectorType& base)
{
Index n0 = VectorType::SizeAtCompileTime==Dynamic ? 0 : VectorType::SizeAtCompileTime;
low = internal::random<Scalar>();
m = VectorType::LinSpaced(n0,low,low-1);
m = VectorType::LinSpaced(n0,low,low-RealScalar(1));
VERIFY(m.size()==n0);
if(VectorType::SizeAtCompileTime==Dynamic)
{
VERIFY_IS_EQUAL(VectorType::LinSpaced(n0,0,Scalar(n0-1)).sum(),Scalar(0));
VERIFY_IS_EQUAL(VectorType::LinSpaced(n0,low,low-1).sum(),Scalar(0));
VERIFY_IS_EQUAL(VectorType::LinSpaced(n0,low,low-RealScalar(1)).sum(),Scalar(0));
}
m.setLinSpaced(n0,0,Scalar(n0-1));
VERIFY(m.size()==n0);
m.setLinSpaced(n0,low,low-1);
m.setLinSpaced(n0,low,low-RealScalar(1));
VERIFY(m.size()==n0);
// empty range only:
@ -178,16 +179,16 @@ void testVectorType(const VectorType& base)
if(NumTraits<Scalar>::IsInteger)
{
VERIFY_IS_APPROX( VectorType::LinSpaced(size,low,Scalar(low+size-1)), VectorType::LinSpaced(size,Scalar(low+size-1),low).reverse() );
VERIFY_IS_APPROX( VectorType::LinSpaced(size,low,low+Scalar(size-1)), VectorType::LinSpaced(size,low+Scalar(size-1),low).reverse() );
if(VectorType::SizeAtCompileTime==Dynamic)
{
// Check negative multiplicator path:
for(Index k=1; k<5; ++k)
VERIFY_IS_APPROX( VectorType::LinSpaced(size,low,Scalar(low+(size-1)*k)), VectorType::LinSpaced(size,Scalar(low+(size-1)*k),low).reverse() );
VERIFY_IS_APPROX( VectorType::LinSpaced(size,low,low+Scalar((size-1)*k)), VectorType::LinSpaced(size,low+Scalar((size-1)*k),low).reverse() );
// Check negative divisor path:
for(Index k=1; k<5; ++k)
VERIFY_IS_APPROX( VectorType::LinSpaced(size*k,low,Scalar(low+size-1)), VectorType::LinSpaced(size*k,Scalar(low+size-1),low).reverse() );
VERIFY_IS_APPROX( VectorType::LinSpaced(size*k,low,low+Scalar(size-1)), VectorType::LinSpaced(size*k,low+Scalar(size-1),low).reverse() );
}
}
}
@ -318,6 +319,7 @@ EIGEN_DECLARE_TEST(nullary)
CALL_SUBTEST_3( testMatrixType(MatrixXf(internal::random<int>(1,300),internal::random<int>(1,300))) );
for(int i = 0; i < g_repeat*10; i++) {
CALL_SUBTEST_3( testVectorType(VectorXcd(internal::random<int>(1,30000))) );
CALL_SUBTEST_4( testVectorType(VectorXd(internal::random<int>(1,30000))) );
CALL_SUBTEST_5( testVectorType(Vector4d()) ); // regression test for bug 232
CALL_SUBTEST_6( testVectorType(Vector3d()) );