bpp-core3
3.0.0
|
Five points numerical derivative function wrapper. More...
#include <Bpp/Numeric/Function/FivePointsNumericalDerivative.h>
Public Member Functions | |
FivePointsNumericalDerivative (std::shared_ptr< FunctionInterface > function) | |
FivePointsNumericalDerivative (std::shared_ptr< FirstOrderDerivable > function) | |
FivePointsNumericalDerivative (std::shared_ptr< SecondOrderDerivable > function) | |
virtual | ~FivePointsNumericalDerivative () |
FivePointsNumericalDerivative * | clone () const override |
Create a copy of this object and send a pointer to it. More... | |
double | getValue () const override |
Get the value of the function at the current point. More... | |
double | getSecondOrderDerivative (const std::string &variable1, const std::string &variable2) const override |
Get the value of the cross derivative of the function according to a given set of parameters. More... | |
void | setInterval (double h) override |
Set the interval value used in numerical approximation. More... | |
double | getInterval () const override |
void | setParametersToDerivate (const std::vector< std::string > &variables) override |
Set the list of parameters to derivate numerically. More... | |
void | enableSecondOrderCrossDerivatives (bool yn) |
bool | enableSecondOrderCrossDerivatives () const |
virtual double | d2f (const std::string &variable, const ParameterList ¶meters) |
Get the value of the second order derivative of the function according to a given set of parameters. More... | |
virtual double | d2f (const std::string &variable1, const std::string &variable2, const ParameterList ¶meters) |
Get the value of the cross derivative of the function according to a given set of parameters. More... | |
virtual double | df (const std::string &variable, const ParameterList ¶meters) |
Get the value of the first derivative of the function according to a given set of parameters. More... | |
virtual bool | hasParameter (const std::string &name) const =0 |
Tell if there is a parameter with specified name. More... | |
bool | hasParameter (const std::string &name) const override |
Tell if there is a parameter with specified name. More... | |
virtual const ParameterList & | getParameters () const =0 |
Get all parameters available. More... | |
const ParameterList & | getParameters () const override |
Get all parameters available. More... | |
virtual const Parameter & | parameter (const std::string &name) const =0 |
Get the parameter with specified name. More... | |
const Parameter & | parameter (const std::string &name) const override |
Get the parameter with specified name. More... | |
virtual double | getParameterValue (const std::string &name) const =0 |
Get the value for parameter of name 'name'. More... | |
double | getParameterValue (const std::string &name) const override |
Get the value for parameter of name 'name'. More... | |
virtual void | removeConstraint (const std::string &name)=0 |
Remove the constraint associated with one parameter, if any. More... | |
void | removeConstraint (const std::string &name) override |
Remove the constraint associated with one parameter, if any. More... | |
virtual void | setConstraint (const std::string &name, std::shared_ptr< ConstraintInterface > constraint)=0 |
Set/Change the constraint associated with one parameter. More... | |
void | setConstraint (const std::string &name, std::shared_ptr< ConstraintInterface > constraint) override |
Set/Change the constraint associated with one parameter. More... | |
virtual size_t | getNumberOfParameters () const =0 |
Get the number of parameters. More... | |
size_t | getNumberOfParameters () const override |
Get the number of parameters. More... | |
virtual void | setNamespace (const std::string &prefix)=0 |
Set the namespace for the parameter names. More... | |
void | setNamespace (const std::string &prefix) override |
Set the namespace for the parameter names. More... | |
virtual std::string | getNamespace () const =0 |
std::string | getNamespace () const override |
virtual std::string | getParameterNameWithoutNamespace (const std::string &name) const =0 |
Resolves a parameter name according to the current namespace. More... | |
std::string | getParameterNameWithoutNamespace (const std::string &name) const override |
Resolves a parameter name according to the current namespace. More... | |
The DerivableFirstOrder interface | |
void | enableFirstOrderDerivatives (bool yn) override |
Tell if derivatives must be computed. More... | |
bool | enableFirstOrderDerivatives () const override |
Tell if derivatives must be computed. More... | |
double | getFirstOrderDerivative (const std::string &variable) const override |
Get the derivative of the function at the current point. More... | |
The DerivableSecondOrder interface | |
void | enableSecondOrderDerivatives (bool yn) override |
Tell if derivatives must be computed. More... | |
bool | enableSecondOrderDerivatives () const override |
Tell if derivatives must be computed. More... | |
double | getSecondOrderDerivative (const std::string &variable) const override |
Get the second order derivative of the function at the current point. More... | |
The Parametrizable interface. | |
double | f (const ParameterList ¶meters) override |
Get the value of the function according to a given set of parameters. More... | |
void | setParameters (const ParameterList ¶meters) override |
Set the point where the function must be computed. More... | |
void | setAllParametersValues (const ParameterList ¶meters) override |
Set the parameters values to be equals to those of parameters. More... | |
void | setParameterValue (const std::string &name, double value) override |
Set the value of parameter with name name to be equal to value. More... | |
void | setParametersValues (const ParameterList ¶meters) override |
Update the parameters from parameters. More... | |
bool | matchParametersValues (const ParameterList ¶meters) override |
Update the parameters from parameters. More... | |
Protected Member Functions | |
void | updateDerivatives (const ParameterList ¶meters) override |
Compute derivatives. More... | |
virtual ParameterList & | getParameters_ ()=0 |
Get all parameters available. More... | |
ParameterList & | getParameters_ () override |
Get all parameters available. More... | |
Protected Attributes | |
std::shared_ptr< FirstOrderDerivable > | function1_ |
std::shared_ptr< SecondOrderDerivable > | function2_ |
double | h_ |
std::vector< std::string > | variables_ |
std::map< std::string, size_t > | index_ |
std::vector< double > | der1_ |
std::vector< double > | der2_ |
RowMatrix< double > | crossDer2_ |
bool | computeD1_ |
bool | computeD2_ |
bool | computeCrossD2_ |
std::shared_ptr< FunctionInterface > | function_ |
Private Attributes | |
double | f1_ |
double | f2_ |
double | f3_ |
double | f4_ |
double | f5_ |
Five points numerical derivative function wrapper.
Numerical derivatives use three points to compute the derivatives. is the focus point, , , and are other points, with function values , , , and respectively. The derivatives are then computed using the central formulas:
In case of border limit (when or are not computable), the foreward and backward three points computations are performed, respectively:
and
The parameter is computed in a parameter dependent manner: , with being the current parameter value. If , . Default value is provided for and corresponds to the _h field. The default value works fine in most cases, but you may want to change it using the setInterval method.
Definition at line 51 of file FivePointsNumericalDerivative.h.
|
inline |
Definition at line 58 of file FivePointsNumericalDerivative.h.
Referenced by clone().
|
inline |
Definition at line 65 of file FivePointsNumericalDerivative.h.
|
inline |
Definition at line 72 of file FivePointsNumericalDerivative.h.
|
inlinevirtual |
Definition at line 79 of file FivePointsNumericalDerivative.h.
|
inlineoverridevirtual |
Create a copy of this object and send a pointer to it.
Implements bpp::AbstractNumericalDerivative.
Definition at line 81 of file FivePointsNumericalDerivative.h.
References FivePointsNumericalDerivative().
|
inlinevirtualinherited |
Get the value of the second order derivative of the function according to a given set of parameters.
variable | The name of the variable in . |
parameters | The parameter set to pass to the function. |
Exception | If an error occured. |
Definition at line 193 of file Functions.h.
References bpp::FunctionInterface::setParameters().
|
inlinevirtualinherited |
Get the value of the cross derivative of the function according to a given set of parameters.
variable1 | The name of the variable in . |
variable2 | The name of the variable in . |
parameters | The parameter set to pass to the function. |
Exception | If an error occured. |
Definition at line 220 of file Functions.h.
References bpp::FunctionInterface::setParameters().
|
inlinevirtualinherited |
Get the value of the first derivative of the function according to a given set of parameters.
variable | The name of the variable in . |
parameters | The parameter set to pass to the function. |
Exception | If an error occured. |
Definition at line 138 of file Functions.h.
References bpp::FunctionInterface::setParameters().
|
inlineoverridevirtualinherited |
Tell if derivatives must be computed.
yn | yes/no |
Implements bpp::FirstOrderDerivable.
Definition at line 144 of file NumericalDerivative.h.
|
inlineoverridevirtualinherited |
Tell if derivatives must be computed.
Implements bpp::FirstOrderDerivable.
Definition at line 145 of file NumericalDerivative.h.
|
inlineinherited |
Definition at line 235 of file NumericalDerivative.h.
|
inlineinherited |
Definition at line 236 of file NumericalDerivative.h.
|
inlineoverridevirtualinherited |
Tell if derivatives must be computed.
yn | yes/no |
Implements bpp::SecondOrderDerivable.
Definition at line 165 of file NumericalDerivative.h.
|
inlineoverridevirtualinherited |
Tell if derivatives must be computed.
Implements bpp::SecondOrderDerivable.
Definition at line 166 of file NumericalDerivative.h.
|
inlineoverridevirtualinherited |
Get the value of the function according to a given set of parameters.
parameters | The parameter set to pass to the function. |
Exception | If an error occured. |
Reimplemented from bpp::FunctionWrapper.
Definition at line 199 of file NumericalDerivative.h.
References bpp::FunctionInterface::getValue(), and bpp::FunctionInterface::setParameters().
|
inlineoverridevirtualinherited |
Get the derivative of the function at the current point.
variable | The name of the variable in . |
Exception | If no point is specified or if an error occured. |
Implements bpp::FirstOrderDerivable.
Definition at line 147 of file NumericalDerivative.h.
|
inlineoverridevirtualinherited |
Implements bpp::NumericalDerivativeInterface.
Definition at line 124 of file NumericalDerivative.h.
|
pure virtualinherited |
Implemented in bpp::FunctionWrapper, bpp::ParametrizableAdapter, and bpp::AbstractParametrizable.
Referenced by bpp::Parametrizable::~Parametrizable().
|
inlineoverridevirtualinherited |
Implements bpp::Parametrizable.
Definition at line 322 of file Functions.h.
|
pure virtualinherited |
Get the number of parameters.
Implemented in bpp::FunctionWrapper, bpp::ParametrizableAdapter, bpp::AbstractParametrizable, and bpp::DirectionFunction.
Referenced by bpp::BppODiscreteDistributionFormat::writeDiscreteDistribution(), and bpp::Parametrizable::~Parametrizable().
|
inlineoverridevirtualinherited |
Get the number of parameters.
Implements bpp::Parametrizable.
Definition at line 312 of file Functions.h.
|
pure virtualinherited |
Resolves a parameter name according to the current namespace.
Implemented in bpp::FunctionWrapper, bpp::ParametrizableAdapter, and bpp::AbstractParametrizable.
Referenced by bpp::BppODiscreteDistributionFormat::readDiscreteDistribution(), bpp::BppOParametrizableFormat::write(), and bpp::Parametrizable::~Parametrizable().
|
inlineoverridevirtualinherited |
Resolves a parameter name according to the current namespace.
Implements bpp::Parametrizable.
Definition at line 327 of file Functions.h.
|
pure virtualinherited |
Get all parameters available.
Implemented in bpp::FunctionWrapper, bpp::ParametrizableAdapter, bpp::DirectionFunction, and bpp::AbstractParametrizable.
Referenced by bpp::ParameterAliasableAdapter::getIndependentParameters(), bpp::BppODiscreteDistributionFormat::readDiscreteDistribution(), bpp::BppOParametrizableFormat::write(), and bpp::Parametrizable::~Parametrizable().
|
inlineoverridevirtualinherited |
Get all parameters available.
Implements bpp::Parametrizable.
Definition at line 257 of file Functions.h.
|
protectedpure virtualinherited |
Get all parameters available.
Implemented in bpp::FunctionWrapper, bpp::AbstractParametrizable, and bpp::DirectionFunction.
Referenced by bpp::Parametrizable::~Parametrizable().
|
inlineoverrideprotectedvirtualinherited |
Get all parameters available.
Implements bpp::Parametrizable.
Definition at line 333 of file Functions.h.
|
pure virtualinherited |
Get the value for parameter of name 'name'.
name | The name of the parameter. |
Implemented in bpp::FunctionWrapper, bpp::ParametrizableAdapter, and bpp::AbstractParametrizable.
Referenced by bpp::BppODiscreteDistributionFormat::readDiscreteDistribution(), and bpp::Parametrizable::~Parametrizable().
|
inlineoverridevirtualinherited |
Get the value for parameter of name 'name'.
name | The name of the parameter. |
Implements bpp::Parametrizable.
Definition at line 277 of file Functions.h.
|
inlineoverridevirtual |
Get the value of the cross derivative of the function according to a given set of parameters.
variable1 | The name of the variable in . |
variable2 | The name of the variable in . |
Exception | If an error occured. |
Implements bpp::SecondOrderDerivable.
Definition at line 89 of file FivePointsNumericalDerivative.h.
References updateDerivatives().
|
inlineoverridevirtualinherited |
Get the second order derivative of the function at the current point.
variable | The name of the variable in . |
Exception | If no point is specified or if an error occured. |
Implements bpp::SecondOrderDerivable.
Reimplemented in bpp::TwoPointsNumericalDerivative.
Definition at line 168 of file NumericalDerivative.h.
|
inlineoverridevirtual |
Get the value of the function at the current point.
Exception | If no point is specified or if an error occured. |
Implements bpp::FunctionInterface.
Definition at line 84 of file FivePointsNumericalDerivative.h.
References f3_.
|
pure virtualinherited |
Tell if there is a parameter with specified name.
name | The name of the parameter to look for. |
Implemented in bpp::FunctionWrapper, bpp::ParametrizableAdapter, and bpp::AbstractParametrizable.
Referenced by bpp::Parametrizable::~Parametrizable().
|
inlineoverridevirtualinherited |
Tell if there is a parameter with specified name.
name | The name of the parameter to look for. |
Implements bpp::Parametrizable.
Definition at line 247 of file Functions.h.
|
inlineoverridevirtualinherited |
Update the parameters from parameters.
Only common parameters with parameters will be updated.
parameters | A list of parameters. |
ConstraintException | If a value in parameters does not match the constraint in the corresponding parameter in the list. |
Reimplemented from bpp::FunctionWrapper.
Definition at line 227 of file NumericalDerivative.h.
|
pure virtualinherited |
Get the parameter with specified name.
name | The name of the parameter to look for. |
ParameterNotFoundException | if no parameter with this name is found. |
Implemented in bpp::FunctionWrapper, bpp::ParametrizableAdapter, and bpp::AbstractParametrizable.
Referenced by bpp::TestFunction::getValue(), and bpp::Parametrizable::~Parametrizable().
|
inlineoverridevirtualinherited |
Get the parameter with specified name.
name | The name of the parameter to look for. |
ParameterNotFoundException | if no parameter with this name is found. |
Implements bpp::Parametrizable.
Definition at line 262 of file Functions.h.
|
pure virtualinherited |
Remove the constraint associated with one parameter, if any.
name | The name of the parameter to look for. |
ParameterNotFoundException | if no parameter with this name is found. |
Implemented in bpp::FunctionWrapper, bpp::ParametrizableAdapter, and bpp::AbstractParametrizable.
Referenced by bpp::Parametrizable::~Parametrizable().
|
inlineoverridevirtualinherited |
Remove the constraint associated with one parameter, if any.
name | The name of the parameter to look for. |
ParameterNotFoundException | if no parameter with this name is found. |
Implements bpp::Parametrizable.
Definition at line 302 of file Functions.h.
|
inlineoverridevirtualinherited |
Set the parameters values to be equals to those of parameters.
The list must contain exactly the same parameters (ie same names) than the parameters available.
parameters | A list with all parameters. |
ParameterNotFoundException | If a some parameter in the list is not in params. |
ConstraintException | If a value in parameters does not match the constraint in the corresponding parameter in the list. |
Reimplemented from bpp::FunctionWrapper.
Definition at line 209 of file NumericalDerivative.h.
|
pure virtualinherited |
Set/Change the constraint associated with one parameter.
name | The name of the parameter to look for. |
constraint | A pointer to the constraint (may be null) |
ParameterNotFoundException | if no parameter with this name is found. |
Implemented in bpp::FunctionWrapper, bpp::ParametrizableAdapter, and bpp::AbstractParametrizable.
Referenced by bpp::Parametrizable::~Parametrizable().
|
inlineoverridevirtualinherited |
Set/Change the constraint associated with one parameter.
name | The name of the parameter to look for. |
constraint | A pointer to the constraint (may be null) |
ParameterNotFoundException | if no parameter with this name is found. |
Implements bpp::Parametrizable.
Definition at line 307 of file Functions.h.
|
inlineoverridevirtualinherited |
Set the interval value used in numerical approximation.
Default value is 0.0001.
h | Interval value. |
Implements bpp::NumericalDerivativeInterface.
Definition at line 122 of file NumericalDerivative.h.
|
pure virtualinherited |
Set the namespace for the parameter names.
prefix | The 'namespace', that is a prefix to add to all parameter names. If parameter names are already prefixed, the new prefix will be used instead. |
Implemented in bpp::FunctionWrapper, bpp::ParametrizableAdapter, bpp::LogsumHmmLikelihood, bpp::RescaledHmmLikelihood, bpp::LowMemoryRescaledHmmLikelihood, bpp::AbstractParameterAliasable, bpp::MixtureOfDiscreteDistributions, bpp::AbstractParametrizable, and bpp::InvariantMixedDiscreteDistribution.
Referenced by bpp::Parametrizable::~Parametrizable().
|
inlineoverridevirtualinherited |
Set the namespace for the parameter names.
prefix | The 'namespace', that is a prefix to add to all parameter names. If parameter names are already prefixed, the new prefix will be used instead. |
Implements bpp::Parametrizable.
Definition at line 317 of file Functions.h.
|
inlineoverridevirtualinherited |
Set the point where the function must be computed.
parameters | The parameter set to pass to the function. |
Reimplemented from bpp::FunctionWrapper.
Definition at line 204 of file NumericalDerivative.h.
|
inlineoverridevirtualinherited |
Set the list of parameters to derivate numerically.
variables | A list of all parameter names. |
Implements bpp::NumericalDerivativeInterface.
Definition at line 126 of file NumericalDerivative.h.
References bpp::RowMatrix< Scalar >::resize().
|
inlineoverridevirtualinherited |
Update the parameters from parameters.
parameters must be a subset of all parameters available.
parameters | A list containing all parameters to update. |
ParameterNotFoundException | If a some parameter in params is not in the list. |
ConstraintException | If a value in parameters does not match the constraint in the corresponding parameter in the list. |
Reimplemented from bpp::FunctionWrapper.
Definition at line 221 of file NumericalDerivative.h.
|
inlineoverridevirtualinherited |
Set the value of parameter with name name to be equal to value.
name | the name of the parameter to set. |
value | The value of the parameter. |
ParameterNotFoundException | If no parameter in the list has the name name. |
ConstraintException | If value does not match the constraint associated to parameter name. |
Reimplemented from bpp::FunctionWrapper.
Definition at line 215 of file NumericalDerivative.h.
|
overrideprotectedvirtual |
Compute derivatives.
parameters | The point where to compute derivatives. It is NOT passed as references, as the inner parameters of the function will be changed when computing the numerical derivatives. |
Implements bpp::AbstractNumericalDerivative.
Definition at line 10 of file FivePointsNumericalDerivative.cpp.
References bpp::ParameterList::createSubList(), bpp::ParameterList::getParameterValue(), bpp::ParameterList::hasParameter(), and bpp::ParameterList::setParameters().
Referenced by getSecondOrderDerivative().
|
protectedinherited |
Definition at line 77 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().
|
protectedinherited |
Definition at line 77 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().
|
protectedinherited |
Definition at line 77 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().
|
protectedinherited |
Definition at line 76 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().
|
protectedinherited |
Definition at line 74 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().
|
protectedinherited |
Definition at line 75 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().
|
private |
Definition at line 55 of file FivePointsNumericalDerivative.h.
|
private |
Definition at line 55 of file FivePointsNumericalDerivative.h.
|
private |
Definition at line 55 of file FivePointsNumericalDerivative.h.
Referenced by getValue().
|
private |
Definition at line 55 of file FivePointsNumericalDerivative.h.
|
private |
Definition at line 55 of file FivePointsNumericalDerivative.h.
|
protectedinherited |
Definition at line 69 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().
|
protectedinherited |
Definition at line 70 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().
|
protectedinherited |
Definition at line 235 of file Functions.h.
Referenced by bpp::FunctionWrapper::operator=().
|
protectedinherited |
Definition at line 71 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().
|
mutableprotectedinherited |
Definition at line 73 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().
|
protectedinherited |
Definition at line 72 of file NumericalDerivative.h.
Referenced by bpp::AbstractNumericalDerivative::operator=().