25 #ifndef UQ_1D_1D_FUNCTION_H
26 #define UQ_1D_1D_FUNCTION_H
28 #include <queso/ScalarSequence.h>
29 #include <queso/1DQuadrature.h>
30 #include <queso/Environment.h>
31 #include <queso/Defines.h>
60 double maxDomainValue);
68 double minDomainValue()
const;
72 double maxDomainValue()
const;
75 virtual double value (
double domainValue)
const = 0;
78 virtual double deriv (
double domainValue)
const = 0;
82 virtual double multiplyAndIntegrate(
const Base1D1DFunction& func,
unsigned int quadratureOrder,
double* resultWithMultiplicationByTAsWell)
const;
104 double (*valueRoutinePtr)(
double domainValue,
const void* routinesDataPtr),
105 double (*derivRoutinePtr)(
double domainValue,
const void* routinesDataPtr),
106 const void* routinesDataPtr);
116 double value(
double domainValue)
const;
121 double deriv(
double domainValue)
const;
147 double constantValue);
158 double value(
double domainValue)
const;
163 double deriv(
double domainValue)
const;
195 double referenceDomainValue,
196 double referenceImageValue,
207 double value(
double domainValue)
const;
213 double deriv(
double domainValue)
const;
244 const std::vector<double>& referenceDomainValues,
245 double referenceImageValue0,
246 const std::vector<double>& rateValues);
256 double value(
double domainValue)
const;
261 double deriv(
double domainValue)
const;
313 double value(
double domainValue)
const;
319 double deriv(
double domainValue)
const;
372 virtual double value(
double domainValue)
const;
378 double deriv(
double domainValue)
const;
390 void set(
const std::vector<double>& domainValues,
391 const std::vector<double>& imageValues);
438 double value(
double domainValue)
const;
442 double deriv(
double domainValue)
const;
479 double value(
double domainValue)
const;
484 double deriv(
double domainValue)
const;
521 double value(
double domainValue)
const;
525 double deriv(
double domainValue)
const;
564 const std::vector<double>* functionValues);
572 double value(
double domainValue)
const;
578 double deriv(
double domainValue)
const;
615 unsigned int basisIndex);
623 double value(
double domainValue)
const;
629 double deriv(
double domainValue)
const;
654 #endif // UQ_1D_1D_FUNCTION_H
ScalarTimesFunc1D1DFunction(double scalar, const Base1D1DFunction &func)
Default constructor.
std::vector< double > m_rateValues
Rate value; in , for each =1 .. m_numRefValues.
unsigned int m_numRefValues
Number of points which will be evaluated.
double deriv(double domainValue) const
TODO: Returns the value of the derivative of the Lagrange basis at point domainValue.
double SubF1F2Gaussian2dKdeIntegral(const ScalarSequence< T > &scalarSeq1, const ScalarSequence< T > &scalarSeq2, unsigned int initialPos, double scaleValue1, double scaleValue2, const Base1D1DFunction &func1, const Base1D1DFunction &func2, unsigned int quadratureOrder)
Calculates the integral of a 2D Gaussian KDE.
double value(double domainValue) const
Returns the value of the linear function at point domainValue.
double value(double domainValue) const
Returns the value of the piecewise-linear function at point domainValue.
std::vector< double > m_referenceImageValues
Reference values in the piecewise-linear function image; in , for each =1 .. m_numRefValues.
~Generic1D1DFunction()
Destructor.
Class for handling scalar samples.
~PiecewiseLinear1D1DFunction()
Destructor.
std::vector< double > m_domainValues
Array of the values in the domain of the function (values of the independent variable).
Linear1D1DFunction(double minDomainValue, double maxDomainValue, double referenceDomainValue, double referenceImageValue, double rateValue)
Default constructor.
std::vector< double > m_imageValues
Array of the values in the image of the function (values of the dependent variable).
double(* m_valueRoutinePtr)(double domainValue, const void *routinesDataPtr)
double m_referenceDomainValue
Reference value in the function domain; in .
Generic1D1DFunction(double minDomainValue, double maxDomainValue, double(*valueRoutinePtr)(double domainValue, const void *routinesDataPtr), double(*derivRoutinePtr)(double domainValue, const void *routinesDataPtr), const void *routinesDataPtr)
Default constructor.
const Base1D1DFunction & m_func2
~LagrangePolynomial1D1DFunction()
Destructor.
double m_c
'Free' coefficient of the quadratic function; in .
const Base1D1DFunction & m_func2
double deriv(double domainValue) const
Returns the value of the derivative of the quadratic function at point domainValue.
~Constant1D1DFunction()
Destructor.
const Base1D1DFunction & m_func1
Class for one-dimensional Lagrange polynomials.
double deriv(double domainValue) const
TODO: Returns the value of the derivative of the addition of two functions.
virtual double value(double domainValue) const
Returns the value of the sampled function at point domainValue.
double deriv(double domainValue) const
TODO: Returns the value of the derivative of the Lagrange polynomial at point domainValue.
void set(const std::vector< double > &domainValues, const std::vector< double > &imageValues)
Sets the values of the independent (domainValues) and dependent (imageValues) variables of this sampl...
Constant1D1DFunction(double minDomainValue, double maxDomainValue, double constantValue)
Default constructor.
Class for linear one-dimensional functions.
const Base1D1DFunction & m_func1
double deriv(double domainValue) const
Returns the value of the derivative of the piecewise-linear function at point domainValue.
double value(double domainValue) const
Returns the value of the (one-dimensional) function at point domainValue, already multiplied by the s...
double deriv(double domainValue) const
TODO: Returns the value of the derivative of the function func1 by another function func2 at the poin...
Sampled1D1DFunction()
Default constructor. It should not be called by the user.
double value(double domainValue) const
Returns the value of the quadratic function at point domainValue.
double deriv(double domainValue) const
Bogus: Derivative of the function.
double(* m_derivRoutinePtr)(double domainValue, const void *routinesDataPtr)
virtual ~Sampled1D1DFunction()
Destructor.
unsigned int m_basisIndex
double maxDomainValue() const
Returns the maximum value of the domain of the (one-dimensional) function.
FuncPlusFunc1D1DFunction(const Base1D1DFunction &func1, const Base1D1DFunction &func2)
Default constructor.
LagrangePolynomial1D1DFunction(const std::vector< double > &positionValues, const std::vector< double > *functionValues)
Default constructor.
Class for multiplication of a one-dimensional function by another.
double value(double domainValue) const
Returns the value of the multiplication of a function func1 by another function func2 at the point do...
const void * m_routinesDataPtr
~Quadratic1D1DFunction()
Destructor.
double deriv(double domainValue) const
Returns the value of the derivative of the constant function at point domainValue.
~FuncTimesFunc1D1DFunction()
Destructor.
~FuncPlusFunc1D1DFunction()
Destructor.
Class for one-dimensional functions.
~Linear1D1DFunction()
Destructor.
double m_rateValue
Rate value; in .
PiecewiseLinear1D1DFunction(double minDomainValue, double maxDomainValue, const std::vector< double > &referenceDomainValues, double referenceImageValue0, const std::vector< double > &rateValues)
Default constructor.
Class for Lagrange polynomial basis.
double value(double domainValue) const
Returns the value of the (one-dimensional) function at point domainValue.
double deriv(double domainValue) const
TODO: Returns the value of the derivative of the function multiplied by the given scalar at point dom...
double m_b
'Linear' coefficient of the quadratic function; in .
virtual void printForMatlab(const BaseEnvironment &env, std::ofstream &ofsvar, const std::string &prefixName) const
Prints the values of the function in Matlab/Octave format.
double deriv(double domainValue) const
Returns the value of the derivative of the linear function at point domainValue.
double m_a
'Quadratic' coefficient of the quadratic function; in .
FuncTimesFunc1D1DFunction(const Base1D1DFunction &func1, const Base1D1DFunction &func2)
Default constructor.
~ScalarTimesFunc1D1DFunction()
Destructor.
Class for constant one-dimensional functions.
double value(double domainValue) const
Returns the value of the Lagrange basis at point domainValue.
std::vector< double > m_referenceDomainValues
Reference values in the piecewise-linear function domain; in , for each =1 .. m_numRefValues.
Class for piecewise-linear one-dimensional functions.
Class for generic one-dimensional functions.
~LagrangeBasis1D1DFunction()
Destructor.
double m_referenceImageValue
Reference value in the function image; in .
Class for addition of a one-dimensional function with another.
double value(double domainValue) const
Returns the value of the Lagrange polynomial at point domainValue.
Class for one-dimensional quadratic functions.
const std::vector< double > & domainValues() const
Array of the domain values (values of the independent variable).
LagrangeBasis1D1DFunction(const std::vector< double > &positionValues, unsigned int basisIndex)
Default constructor.
Quadratic1D1DFunction(double minDomainValue, double maxDomainValue, double a, double b, double c)
Default constructor.
double value(double domainValue) const
Returns the value of the constant function at point domainValue.
std::vector< double > m_positionValues
double value(double domainValue) const
Returns the value of the addition of function func1 and func2 evaluated at the point domainValue...
Class for multiplication of a one-dimensional function by a scalar.
double minDomainValue() const
Returns the minimum value of the domain of the (one-dimensional) function.
Class for one-dimensional sampled functions.
std::vector< double > m_functionValues
bool domainValueMatchesExactly(double domainValue) const
Checks whether the domain value domainValue matches exactly one of the values in the function domain ...
double deriv(double domainValue) const
Returns the value of the derivative of the function at point domainValue.
const std::vector< double > & imageValues() const
Array of the image values (values of the dependent variable).
const Base1D1DFunction & m_func
std::vector< double > m_positionValues
This (virtual) class sets up the environment underlying the use of the QUESO library by an executable...