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Thyra::LinearOpTester< RangeScalar, DomainScalar > Class Template Reference
[Development of linear Abstract Numerical Algorithms (ANAs)]

Testing class for LinearOpBase. More...

#include <Thyra_LinearOpTesterDecl.hpp>

Inheritance diagram for Thyra::LinearOpTester< RangeScalar, DomainScalar >:

[legend]
List of all members.

Public Types

typedef Teuchos::PromotionTraits<
RangeScalar, DomainScalar
>::promote 		Scalar
 Local typedef for promoted scalar type .
typedef Teuchos::ScalarTraits<
Scalar >::magnitudeType 		ScalarMag
 Local typedef for promoted scalar magnitude.

Public Member Functions

 LinearOpTester (const bool check_linear_properties=true, const ScalarMag linear_properties_warning_tol=1e-13, const ScalarMag linear_properties_error_tol=1e-10, const bool check_adjoint=true, const ScalarMag adjoint_warning_tol=1e-13, const ScalarMag adjoint_error_tol=1e-10, const bool check_for_symmetry=false, const ScalarMag symmetry_warning_tol=1e-13, const ScalarMag symmetry_error_tol=1e-10, const int num_random_vectors=1, const bool show_all_tests=false, const bool dump_all=false, const int num_rhs=1)
 Default constructor which sets default parameter values.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (bool, check_linear_properties)
 Set if to check for linear properties alpha*op*(x + y) == op(alpha*x) + op(alpha*y).
 STANDARD_MEMBER_COMPOSITION_MEMBERS (ScalarMag, linear_properties_warning_tol)
 Set the tolerance above which a relative error will generate a warning message for the check of the linear properties.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (ScalarMag, linear_properties_error_tol)
 Set the tolerance above which a relative error will generate a error message and result in test failure for the check of the linear properties.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (bool, check_adjoint)
 Set if to check for adjoint property x'*(op*y) == y'*(op'*x) if adjoint is supported.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (ScalarMag, adjoint_warning_tol)
 Set the tolerance above which a relative error will generate a warning message for the check of the adjoint.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (ScalarMag, adjoint_error_tol)
 Set the tolerance above which a relative error will generate a error message and result in test failure for the check of the adjoint.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (bool, check_for_symmetry)
 Set if to check for symmetry property x'*(op*y) == y'*(op*x) for symmetric operators.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (ScalarMag, symmetry_warning_tol)
 Set the tolerance above which a relative error will generate a warning message for the check of symmetry.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (ScalarMag, symmetry_error_tol)
 Set the tolerance above which a relative error will generate a error message and result in test failure for the check of symmetry.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (int, num_random_vectors)
 Set the number random vectors that is generated during each test.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (bool, show_all_tests)
 Set if all tests are shown or just summaries.
 STANDARD_MEMBER_COMPOSITION_MEMBERS (bool, dump_all)
 Set if all of the vectors are dumped or not (only relevant if show_all_tests()==true).
 STANDARD_MEMBER_COMPOSITION_MEMBERS (int, num_rhs)
 Set the number of right-hand-sides in the multivectors.
void enable_all_tests (const bool enable_all_tests)
 Enable or disable all tests.
void set_all_warning_tol (const ScalarMag warning_tol)
 Set all the warning tolerances to the same value.
void set_all_error_tol (const ScalarMag error_tol)
 Set all the error tolerances to the same value.
bool check (const LinearOpBase< RangeScalar, DomainScalar > &op, MultiVectorRandomizerBase< RangeScalar > *rangeRandomizer, MultiVectorRandomizerBase< DomainScalar > *domainRandomizer, Teuchos::FancyOStream *out) const
 Check a linear operator.
bool check (const LinearOpBase< RangeScalar, DomainScalar > &op, Teuchos::FancyOStream *out) const
 Calls this->check(op,NULL,NULL,out,leadingIndent,indentSpacer).
bool compare (const LinearOpBase< RangeScalar, DomainScalar > &op1, const LinearOpBase< RangeScalar, DomainScalar > &op2, MultiVectorRandomizerBase< DomainScalar > *domainRandomizer, Teuchos::FancyOStream *out) const
 Check if two linear operators are the same or not.
bool compare (const LinearOpBase< RangeScalar, DomainScalar > &op1, const LinearOpBase< RangeScalar, DomainScalar > &op2, Teuchos::FancyOStream *out) const
 Calls this->compare(op1,op2,NULL,out,leadingIndent,indentSpacer).

Detailed Description

template<class RangeScalar, class DomainScalar = RangeScalar>
class Thyra::LinearOpTester< RangeScalar, DomainScalar >

Testing class for LinearOpBase.

This testing class performs many different tests just given a LinearOpBase object using the function check().

This testing class also can check if two linear operators are the same using random vectors by using the function compare().

ToDo: Finish documentation!

The default compiler-generated copy constructor and assignment operators are allowed since they have the correct semantics which are to simply copy control parameters.

Examples:

exampleImplicitlyComposedLinearOperators.cpp, sillyCgSolve_mpi.cpp, sillyCgSolve_serial.cpp, test_composite_linear_ops.cpp, and test_scalar_product.cpp.

Member Typedef Documentation

template<class RangeScalar, class DomainScalar = RangeScalar>
typedef Teuchos::PromotionTraits<RangeScalar,DomainScalar>::promote Thyra::LinearOpTester< RangeScalar, DomainScalar >::Scalar
 

Local typedef for promoted scalar type .

template<class RangeScalar, class DomainScalar = RangeScalar>
typedef Teuchos::ScalarTraits<Scalar>::magnitudeType Thyra::LinearOpTester< RangeScalar, DomainScalar >::ScalarMag
 

Local typedef for promoted scalar magnitude.

Constructor & Destructor Documentation

template<class RangeScalar, class DomainScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::LinearOpTester (  const bool  check_linear_properties = true,
const ScalarMag  linear_properties_warning_tol = 1e-13,
const ScalarMag  linear_properties_error_tol = 1e-10,
const bool  check_adjoint = true,
const ScalarMag  adjoint_warning_tol = 1e-13,
const ScalarMag  adjoint_error_tol = 1e-10,
const bool  check_for_symmetry = false,
const ScalarMag  symmetry_warning_tol = 1e-13,
const ScalarMag  symmetry_error_tol = 1e-10,
const int  num_random_vectors = 1,
const bool  show_all_tests = false,
const bool  dump_all = false,
const int  num_rhs = 1
) 
 

Default constructor which sets default parameter values.

Note: It is not recommended that the client pass in values in this constructor since the argument list may change in the near future but instead use the below set functions to change an option after construction.

Member Function Documentation

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  bool  ,
check_linear_properties 
) 
 

Set if to check for linear properties alpha*op*(x + y) == op(alpha*x) + op(alpha*y).

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  ScalarMag  ,
linear_properties_warning_tol 
) 
 

Set the tolerance above which a relative error will generate a warning message for the check of the linear properties.

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  ScalarMag  ,
linear_properties_error_tol 
) 
 

Set the tolerance above which a relative error will generate a error message and result in test failure for the check of the linear properties.

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  bool  ,
check_adjoint 
) 
 

Set if to check for adjoint property x'*(op*y) == y'*(op'*x) if adjoint is supported.

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  ScalarMag  ,
adjoint_warning_tol 
) 
 

Set the tolerance above which a relative error will generate a warning message for the check of the adjoint.

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  ScalarMag  ,
adjoint_error_tol 
) 
 

Set the tolerance above which a relative error will generate a error message and result in test failure for the check of the adjoint.

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  bool  ,
check_for_symmetry 
) 
 

Set if to check for symmetry property x'*(op*y) == y'*(op*x) for symmetric operators.

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  ScalarMag  ,
symmetry_warning_tol 
) 
 

Set the tolerance above which a relative error will generate a warning message for the check of symmetry.

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  ScalarMag  ,
symmetry_error_tol 
) 
 

Set the tolerance above which a relative error will generate a error message and result in test failure for the check of symmetry.

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  int  ,
num_random_vectors 
) 
 

Set the number random vectors that is generated during each test.

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  bool  ,
show_all_tests 
) 
 

Set if all tests are shown or just summaries.

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  bool  ,
dump_all 
) 
 

Set if all of the vectors are dumped or not (only relevant if show_all_tests()==true).

template<class RangeScalar, class DomainScalar = RangeScalar>
Thyra::LinearOpTester< RangeScalar, DomainScalar >::STANDARD_MEMBER_COMPOSITION_MEMBERS (  int  ,
num_rhs 
) 
 

Set the number of right-hand-sides in the multivectors.

template<class RangeScalar, class DomainScalar>
void Thyra::LinearOpTester< RangeScalar, DomainScalar >::enable_all_tests (  const bool  enable_all_tests  ) 
 

Enable or disable all tests.

Postconditions:

  • this->check_linear_properties()==enable_all_tests
  • this->check_adjoint()==enable_all_tests
  • this->check_for_symmetry()==enable_all_tests

template<class RangeScalar, class DomainScalar>
void Thyra::LinearOpTester< RangeScalar, DomainScalar >::set_all_warning_tol (  const ScalarMag  warning_tol  ) 
 

Set all the warning tolerances to the same value.

Postconditions:

  • this->linear_properties_warning_tol()==warning_tol
  • this->adjoint_warning_tol()==warning_tol
  • this->symmetry_warning_tol()==warning_tol

template<class RangeScalar, class DomainScalar>
void Thyra::LinearOpTester< RangeScalar, DomainScalar >::set_all_error_tol (  const ScalarMag  error_tol  ) 
 

Set all the error tolerances to the same value.

Postconditions:

  • this->linear_properties_error_tol()==error_tol
  • this->adjoint_error_tol()==error_tol
  • this->symmetry_error_tol()==error_tol

template<class RangeScalar, class DomainScalar>
bool Thyra::LinearOpTester< RangeScalar, DomainScalar >::check (  const LinearOpBase< RangeScalar, DomainScalar > &  op,
MultiVectorRandomizerBase< RangeScalar > *  rangeRandomizer,
MultiVectorRandomizerBase< DomainScalar > *  domainRandomizer,
Teuchos::FancyOStream *  out
)  const
 

Check a linear operator.

Parameters:
op [in] The linear operator to check.
out [in/out] If out!=NULL then trace output about the tests performed will be sent to *out.
rangeRandomizer [in] Randomizer strategy object for creating random vectors in the range of the operator op. If NULL then UniveralMultiVectorRandomizer is used intead.
domainRandomizer [in] Randomizer strategy object for creating random vectors in the domain of the operator op. If NULL then UniveralMultiVectorRandomizer is used intead.
Preconditions:
  • [rangeRandomizer!=NULL] rangeRandomizer->isCompatible(*op.range())==true
  • [domainRandomizer!=NULL] domainRandomizer->isCompatible(*op.domain())==true

This function performs a number of tests on op:

  • Checks that the domain and range spaces are valid.

  • Creates temporary vectors using the domain and range spaces.

  • If this->check_linear_properties()==true then checks that $\alpha A ( u + v ) = \alpha A u + \alpha A v$ to a relative tolerance defined by error_tol(). Note, if the client wants to check the linear properties of the adjoint then the client should first create an implicit adjoint using adjoint() (or transpose using transpose()) which wraps the operation in a DefaultScaledAdjointLinearOp. Using this method a client can check all the various values of the enum EOpTransp.

  • If this->check_adjoint()==true then, checks that the non-transposed operator and the adjoint operator agree. The operator and adjoint operator must obey the defined scalar product. Specifically, for any two vectors $w$ (in the domain space $\mathcal{D}$) and $u$ (in the range space $\mathcal{R}$), the adjoint operation must obey:

    \[<u,A v>_{\mathcal{R}} = <A^H u, v>_{\mathcal{D}}\]

    where $<.,.>_{\mathcal{R}}$ is the scalar product defined by op.range()->scalarProd() and $<.,.>_{\mathcal{D}}$ is the scalar product defined by op.domain()->scalarProd().

  • If this->check_for_symmetry()==true the the operator will be checked to see if it is symmetric. Specifically, for any two random vectors $w$ and $u$ in the operator's space $\mathcal{S}$, the following property is checked:

    \[<u,A v>_{\mathcal{S}} = <A u, v>_{\mathcal{S}}\]

    where $<.,.>_{\mathcal{S}}$ is the scalar product defined by op.domain()->scalarProd() and op.domain()->scalarProd().

All relative errors that exceed xxx_warning_tol() but do not exceed xxx_error_tol will result in special warning messages printed to *out (if out!=NULL).

Returns:
The function returns true if all of the tests where within the xxx_error_tol() and returns false if not.
The best way to see what this testing function is doing is to run the test with out!=NULL and to look at the implementation by clicking on the following link to the source code:

template<class RangeScalar, class DomainScalar>
bool Thyra::LinearOpTester< RangeScalar, DomainScalar >::check (  const LinearOpBase< RangeScalar, DomainScalar > &  op,
Teuchos::FancyOStream *  out
)  const
 

Calls this->check(op,NULL,NULL,out,leadingIndent,indentSpacer).

template<class RangeScalar, class DomainScalar>
bool Thyra::LinearOpTester< RangeScalar, DomainScalar >::compare (  const LinearOpBase< RangeScalar, DomainScalar > &  op1,
const LinearOpBase< RangeScalar, DomainScalar > &  op2,
MultiVectorRandomizerBase< DomainScalar > *  domainRandomizer,
Teuchos::FancyOStream *  out
)  const
 

Check if two linear operators are the same or not.

Parameters:
op1 [in] The first linear operator
op2 [in] The second linear operator
domainRandomizer [in] Randomizer strategy object for creating random vectors in the domain of the operator op. If NULL then UniveralMultiVectorRandomizer is used intead.
out [in/out] If out!=NULL then trace output about the tests performed will be sent to *out.
leadingIndent [in] All output to *out will insert this spacer before each new line is printed. Default value "".
indentSpacer [in] All output to *out that is further indented will use this indentation. Default value " ".
This function checks if op1 and op2 are the same by checking that the range and domain spaces are compatible and then checking that sum(op1*v) == sum(op2*v) for various random vectors. The allowed warning and error tolerances are taken from linear_properties_warning_tol() and linear_properties_error_tol().

All relative errors that exceed xxx_warning_tol() but do not exceed xxx_error_tol will result in special warning messages printed to *out (if out!=NULL).

Returns:
The function returns true if all of the tests where within the xxx_error_tol() and returns false if not.
The best way to see what this testing function is doing is to run the test with out!=NULL and to look at the implementation by clicking on the following link to the source code:

template<class RangeScalar, class DomainScalar>
bool Thyra::LinearOpTester< RangeScalar, DomainScalar >::compare (  const LinearOpBase< RangeScalar, DomainScalar > &  op1,
const LinearOpBase< RangeScalar, DomainScalar > &  op2,
Teuchos::FancyOStream *  out
)  const
 

Calls this->compare(op1,op2,NULL,out,leadingIndent,indentSpacer).

The documentation for this class was generated from the following files:
Generated on Sun Nov 23 12:13:07 2008 for Thyra Operator/Vector Support by  doxygen 1.3.9.1