QUESO::Quadratic1D1DFunction Class Reference

Class for one-dimensional quadratic functions. More...

#include <1D1DFunction.h>

Inheritance diagram for QUESO::Quadratic1D1DFunction:

Public Member Functions
Constructor/Destructor methods
	Quadratic1D1DFunction (double minDomainValue, double maxDomainValue, double a, double b, double c)
	Default constructor. More...
	~Quadratic1D1DFunction ()
	Destructor. More...
Mathematical methods
double	value (double domainValue) const
	Returns the value of the quadratic function at point domainValue. More...
double	deriv (double domainValue) const
	Returns the value of the derivative of the quadratic function at point domainValue. More...
Public Member Functions inherited from QUESO::Base1D1DFunction
	Base1D1DFunction (double minDomainValue, double maxDomainValue)
	Default constructor. More...
virtual	~Base1D1DFunction ()
	Destructor. More...
double	minDomainValue () const
	Returns the minimum value of the domain of the (one-dimensional) function. More...
double	maxDomainValue () const
	Returns the maximum value of the domain of the (one-dimensional) function. More...
virtual double	multiplyAndIntegrate (const Base1D1DFunction &func, unsigned int quadratureOrder, double *resultWithMultiplicationByTAsWell) const
	TODO: Multiplies this function with function, and integrates it numerically. See template specialization. More...

Protected Attributes
double	m_a
	'Quadratic' coefficient of the quadratic function; \( a \) in \( f(x)=ax^2+bx+c \). More...
double	m_b
	'Linear' coefficient of the quadratic function; \( b \) in \( f(x)=ax^2+bx+c \). More...
double	m_c
	'Free' coefficient of the quadratic function; \( c \) in \( f(x)=ax^2+bx+c \). More...
Protected Attributes inherited from QUESO::Base1D1DFunction
double	m_minDomainValue
double	m_maxDomainValue

Detailed Description

Class for one-dimensional quadratic functions.

This class implements quadratic one-dimensional functions. A quadratic function, in mathematics, is a polynomial function of the form

\[ f(x)=ax^2+bx+c,\quad a \ne 0.\]

The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y-axis.

Definition at line 292 of file 1D1DFunction.h.

Constructor & Destructor Documentation

QUESO::Quadratic1D1DFunction::Quadratic1D1DFunction	(	double	minDomainValue,
		double	maxDomainValue,
		double	a,
		double	b,
		double	c
	)

Default constructor.

Constructs a quadratic function in the interval [minDomainValue,maxDomainValue], of the type: \( f(x)=ax^2+bx+c \).

Definition at line 370 of file 1D1DFunction.C.

  :
  Base1D1DFunction(minDomainValue,maxDomainValue),
  m_a                    (a),
  m_b                    (b),
  m_c                    (c)
{
}

QUESO::Quadratic1D1DFunction::~Quadratic1D1DFunction

(

)

Destructor.

Definition at line 384 of file 1D1DFunction.C.

{
}

Member Function Documentation

double QUESO::Quadratic1D1DFunction::deriv ( double  domainValue ) const

virtual

Returns the value of the derivative of the quadratic function at point domainValue.

This function checks if point domainValue belongs to the domain of this function, and in affirmative case, it returns the value of the derivative at such point (namely 2*a*domainValue + b .

Implements QUESO::Base1D1DFunction.

Definition at line 408 of file 1D1DFunction.C.

References m_a, m_b, QUESO::Base1D1DFunction::m_maxDomainValue, and QUESO::Base1D1DFunction::m_minDomainValue.

{
  if ((domainValue < m_minDomainValue) || (domainValue > m_maxDomainValue)) {
    std::cerr << "In Quadratic1D1DFunction::deriv()"
              << ": requested x ("            << domainValue
              << ") is out of the interval (" << m_minDomainValue
              << ", "                         << m_maxDomainValue
              << ")"
              << std::endl;
  }

  queso_require_msg(!((domainValue < m_minDomainValue) || (domainValue > m_maxDomainValue)), "x out of range");

  return 2.*m_a*domainValue + m_b;
}

double QUESO::Quadratic1D1DFunction::value ( double  domainValue ) const

virtual

Returns the value of the quadratic function at point domainValue.

This function checks if point domainValue belongs to the domain of this function, and in affirmative case, it evaluates the function at such point, namely: imageValue = a*domainValue^2 + b*domainValue + c .

Implements QUESO::Base1D1DFunction.

Definition at line 389 of file 1D1DFunction.C.

References m_a, m_b, m_c, QUESO::Base1D1DFunction::m_maxDomainValue, and QUESO::Base1D1DFunction::m_minDomainValue.

{
  if ((domainValue < m_minDomainValue) || (domainValue > m_maxDomainValue)) {
    std::cerr << "In Quadratic1D1DFunction::value()"
              << ": requested x ("            << domainValue
              << ") is out of the interval (" << m_minDomainValue
              << ", "                         << m_maxDomainValue
              << ")"
              << std::endl;
  }

  queso_require_msg(!((domainValue < m_minDomainValue) || (domainValue > m_maxDomainValue)), "x out of range");

  double imageValue = m_a*domainValue*domainValue + m_b*domainValue + m_c;

  return imageValue;
}

Member Data Documentation

double QUESO::Quadratic1D1DFunction::m_a

protected

'Quadratic' coefficient of the quadratic function; \( a \) in \( f(x)=ax^2+bx+c \).

Definition at line 326 of file 1D1DFunction.h.

Referenced by deriv(), and value().

double QUESO::Quadratic1D1DFunction::m_b

protected

'Linear' coefficient of the quadratic function; \( b \) in \( f(x)=ax^2+bx+c \).

Definition at line 329 of file 1D1DFunction.h.

Referenced by deriv(), and value().

double QUESO::Quadratic1D1DFunction::m_c

protected

'Free' coefficient of the quadratic function; \( c \) in \( f(x)=ax^2+bx+c \).

Definition at line 332 of file 1D1DFunction.h.

Referenced by value().

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The documentation for this class was generated from the following files:

• src/misc/inc/1D1DFunction.h
• src/misc/src/1D1DFunction.C