mirror of
https://github.com/CoolProp/CoolProp.git
synced 2026-01-22 12:28:04 -05:00
529 lines
26 KiB
C++
529 lines
26 KiB
C++
#ifndef POLYMATH_H
|
|
#define POLYMATH_H
|
|
|
|
#include "CoolPropTools.h"
|
|
#include "Exceptions.h"
|
|
|
|
#include <vector>
|
|
#include <string>
|
|
#include "Solvers.h"
|
|
//#include <numeric> // inner_product
|
|
//#include <sstream>
|
|
//#include "float.h"
|
|
|
|
namespace CoolProp{
|
|
|
|
/// The base class for Polynomials
|
|
class BasePolynomial{
|
|
|
|
protected:
|
|
bool DEBUG;
|
|
|
|
public:
|
|
// Constructor
|
|
BasePolynomial();
|
|
// Destructor. No implementation
|
|
virtual ~BasePolynomial(){};
|
|
|
|
public:
|
|
/// Basic checks for coefficient vectors.
|
|
/** Starts with only the first coefficient dimension
|
|
* and checks the vector length against parameter n. */
|
|
bool checkCoefficients(const std::vector<double> &coefficients, const unsigned int n);
|
|
bool checkCoefficients(const std::vector< std::vector<double> > &coefficients, const unsigned int rows, const unsigned int columns);
|
|
|
|
/** Integrating coefficients for polynomials is done by dividing the
|
|
* original coefficients by (i+1) and elevating the order by 1
|
|
* through adding a zero as first coefficient.
|
|
* Some reslicing needs to be applied to integrate along the x-axis.
|
|
* In the brine/solution equations, reordering of the parameters
|
|
* avoids this expensive operation. However, it is included for the
|
|
* sake of completeness.
|
|
*/
|
|
std::vector<double> integrateCoeffs(const std::vector<double> &coefficients);
|
|
std::vector< std::vector<double> > integrateCoeffs(const std::vector< std::vector<double> > &coefficients, bool axis);
|
|
|
|
/** Deriving coefficients for polynomials is done by multiplying the
|
|
* original coefficients with i and lowering the order by 1.
|
|
*
|
|
* It is not really deprecated, but untested and therefore a warning
|
|
* is issued. Please check this method before you use it.
|
|
*/
|
|
std::vector<double> deriveCoeffs(const std::vector<double> &coefficients);
|
|
std::vector< std::vector<double> > deriveCoeffs(const std::vector< std::vector<double> > &coefficients, unsigned int axis);
|
|
|
|
private:
|
|
/** The core of the polynomial wrappers are the different
|
|
* implementations that follow below. In case there are
|
|
* new calculation schemes available, please do not delete
|
|
* the implementations, but mark them as deprecated.
|
|
* The old functions are good for debugging since the
|
|
* structure is easier to read than the backward Horner-scheme
|
|
* or the recursive Horner-scheme.
|
|
*/
|
|
|
|
/// Simple polynomial function generator. <- Deprecated due to poor performance, use Horner-scheme instead
|
|
/** Base function to produce n-th order polynomials
|
|
* based on the length of the coefficient vector.
|
|
* Starts with only the first coefficient at x^0. */
|
|
DEPRECATED(double simplePolynomial(const std::vector<double> &coefficients, double x));
|
|
DEPRECATED(double simplePolynomial(const std::vector<std::vector<double> > &coefficients, double x, double y));
|
|
|
|
/// Simple integrated polynomial function generator.
|
|
/** Base function to produce integrals of n-th order polynomials based on
|
|
* the length of the coefficient vector.
|
|
* Starts with only the first coefficient at x^0 */
|
|
///Indefinite integral in x-direction
|
|
double simplePolynomialInt(const std::vector<double> &coefficients, double x);
|
|
///Indefinite integral in y-direction only
|
|
double simplePolynomialInt(const std::vector<std::vector<double> > &coefficients, double x, double y);
|
|
|
|
/// Simple integrated polynomial function generator divided by independent variable.
|
|
/** Base function to produce integrals of n-th order
|
|
* polynomials based on the length of the coefficient
|
|
* vector. Starts with only the first coefficient at x^0 */
|
|
///Indefinite integral of a polynomial divided by its independent variable
|
|
double simpleFracInt(const std::vector<double> &coefficients, double x);
|
|
///Indefinite integral of a polynomial divided by its 2nd independent variable
|
|
double simpleFracInt(const std::vector<std::vector<double> > &coefficients, double x, double y);
|
|
|
|
/** Simple integrated centred(!) polynomial function generator divided by independent variable.
|
|
* We need to rewrite some of the functions in order to
|
|
* use central fit. Having a central temperature xbase
|
|
* allows for a better fit, but requires a different
|
|
* formulation of the fracInt function group. Other
|
|
* functions are not affected.
|
|
* Starts with only the first coefficient at x^0 */
|
|
///Helper function to calculate the D vector:
|
|
double factorial(double nValue);
|
|
double binom(double nValue, double nValue2);
|
|
std::vector<double> fracIntCentralDvector(int m, double x, double xbase);
|
|
///Indefinite integral of a centred polynomial divided by its independent variable
|
|
double fracIntCentral(const std::vector<double> &coefficients, double x, double xbase);
|
|
|
|
/// Horner function generator implementations
|
|
/** Represent polynomials according to Horner's scheme.
|
|
* This avoids unnecessary multiplication and thus
|
|
* speeds up calculation.
|
|
*/
|
|
double baseHorner(const std::vector<double> &coefficients, double x);
|
|
double baseHorner(const std::vector< std::vector<double> > &coefficients, double x, double y);
|
|
///Indefinite integral in x-direction
|
|
double baseHornerInt(const std::vector<double> &coefficients, double x);
|
|
///Indefinite integral in y-direction only
|
|
double baseHornerInt(const std::vector<std::vector<double> > &coefficients, double x, double y);
|
|
///Indefinite integral of a polynomial divided by its independent variable
|
|
double baseHornerFracInt(const std::vector<double> &coefficients, double x);
|
|
///Indefinite integral of a polynomial divided by its 2nd independent variable
|
|
double baseHornerFracInt(const std::vector<std::vector<double> > &coefficients, double x, double y);
|
|
|
|
/** Alternatives
|
|
* Simple functions that heavily rely on other parts of this file.
|
|
* We still need to check which combinations yield the best
|
|
* performance.
|
|
*/
|
|
///Derivative in x-direction
|
|
double deriveIn2Steps(const std::vector<double> &coefficients, double x); // TODO: Check results!
|
|
///Derivative in terms of x(axis=true) or y(axis=false).
|
|
double deriveIn2Steps(const std::vector< std::vector<double> > &coefficients, double x, double y, bool axis); // TODO: Check results!
|
|
///Indefinite integral in x-direction
|
|
double integrateIn2Steps(const std::vector<double> &coefficients, double x);
|
|
///Indefinite integral in terms of x(axis=true) or y(axis=false).
|
|
double integrateIn2Steps(const std::vector< std::vector<double> > &coefficients, double x, double y, bool axis);
|
|
///Indefinite integral in x-direction of a polynomial divided by its independent variable
|
|
double fracIntIn2Steps(const std::vector<double> &coefficients, double x);
|
|
///Indefinite integral in y-direction of a polynomial divided by its 2nd independent variable
|
|
double fracIntIn2Steps(const std::vector<std::vector<double> > &coefficients, double x, double y);
|
|
///Indefinite integral of a centred polynomial divided by its 2nd independent variable
|
|
double fracIntCentral2Steps(const std::vector<std::vector<double> > &coefficients, double x, double y, double ybase);
|
|
|
|
public:
|
|
/** Here we define the functions that should be used by the
|
|
* respective implementations. Please do no use any other
|
|
* method since this would break the purpose of this interface.
|
|
* Note that the functions below are supposed to be aliases
|
|
* to implementations declared elsewhere in this file.
|
|
*/
|
|
|
|
/** Everything related to the normal polynomials goes in this
|
|
* section, holds all the functions for evaluating polynomials.
|
|
*/
|
|
/// Evaluates a one-dimensional polynomial for the given coefficients
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input
|
|
virtual inline double polyval(const std::vector<double> &coefficients, double x){
|
|
return baseHorner(coefficients,x);
|
|
}
|
|
|
|
/// Evaluates a two-dimensional polynomial for the given coefficients
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param y double value that represents the current input in the 2nd dimension
|
|
virtual inline double polyval(const std::vector< std::vector<double> > &coefficients, double x, double y){
|
|
return baseHorner(coefficients,x,y);
|
|
}
|
|
|
|
|
|
/** Everything related to the integrated polynomials goes in this
|
|
* section, holds all the functions for evaluating polynomials.
|
|
*/
|
|
/// Evaluates the indefinite integral of a one-dimensional polynomial
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input
|
|
virtual inline double polyint(const std::vector<double> &coefficients, double x){
|
|
return baseHornerInt(coefficients,x);
|
|
}
|
|
|
|
/// Evaluates the indefinite integral of a two-dimensional polynomial along the 2nd axis (y)
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param y double value that represents the current input in the 2nd dimension
|
|
virtual inline double polyint(const std::vector< std::vector<double> > &coefficients, double x, double y){
|
|
return baseHornerInt(coefficients,x,y);
|
|
}
|
|
|
|
|
|
/** Everything related to the derived polynomials goes in this
|
|
* section, holds all the functions for evaluating polynomials.
|
|
*/
|
|
/// Evaluates the derivative of a one-dimensional polynomial
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input
|
|
virtual inline double polyder(const std::vector<double> &coefficients, double x){
|
|
return deriveIn2Steps(coefficients,x);
|
|
}
|
|
|
|
/// Evaluates the derivative of a two-dimensional polynomial along the 2nd axis (y)
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param y double value that represents the current input in the 2nd dimension
|
|
virtual inline double polyder(const std::vector< std::vector<double> > &coefficients, double x, double y){
|
|
return deriveIn2Steps(coefficients,x,y,false);
|
|
}
|
|
|
|
|
|
/** Everything related to the polynomials divided by one variable goes in this
|
|
* section, holds all the functions for evaluating polynomials.
|
|
*/
|
|
/// Evaluates the indefinite integral of a one-dimensional polynomial divided by its independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current position
|
|
virtual inline double polyfracval(const std::vector<double> &coefficients, double x){
|
|
return baseHornerFracInt(coefficients,x);
|
|
}
|
|
|
|
/// Evaluates the indefinite integral of a two-dimensional polynomial divided by its 2nd independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param y double value that represents the current input in the 2nd dimension
|
|
virtual inline double polyfracval(const std::vector< std::vector<double> > &coefficients, double x, double y){
|
|
return baseHornerFracInt(coefficients,x,y);
|
|
}
|
|
|
|
|
|
/** Everything related to the integrated polynomials divided by one variable goes in this
|
|
* section, holds all the functions for solving polynomials.
|
|
*/
|
|
/// Evaluates the indefinite integral of a one-dimensional polynomial divided by its independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current position
|
|
virtual inline double polyfracint(const std::vector<double> &coefficients, double x){
|
|
return baseHornerFracInt(coefficients,x);
|
|
}
|
|
|
|
/// Evaluates the indefinite integral of a two-dimensional polynomial divided by its 2nd independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param y double value that represents the current input in the 2nd dimension
|
|
virtual inline double polyfracint(const std::vector< std::vector<double> > &coefficients, double x, double y){
|
|
return baseHornerFracInt(coefficients,x,y);
|
|
}
|
|
|
|
/// Evaluates the indefinite integral of a centred one-dimensional polynomial divided by its independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current position
|
|
/// @param xbase central temperature for fitted function
|
|
virtual inline double polyfracintcentral(const std::vector<double> &coefficients, double x, double xbase){
|
|
return fracIntCentral(coefficients,x,xbase);
|
|
}
|
|
|
|
/// Evaluates the indefinite integral of a centred two-dimensional polynomial divided by its 2nd independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param y double value that represents the current input in the 2nd dimension
|
|
/// @param ybase central temperature for fitted function
|
|
virtual inline double polyfracintcentral(const std::vector< std::vector<double> > &coefficients, double x, double y, double ybase){
|
|
return fracIntCentral2Steps(coefficients,x,y,ybase);
|
|
}
|
|
|
|
|
|
/** Everything related to the derived polynomials divided by one variable goes in this
|
|
* section, holds all the functions for solving polynomials.
|
|
*/
|
|
/// Evaluates the derivative of a one-dimensional polynomial divided by its independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current position
|
|
virtual inline double polyfracder(const std::vector<double> &coefficients, double x){
|
|
throw CoolProp::NotImplementedError("Derivatives of polynomials divided by their independent variable have not been implemented."); // TODO: Implement polyfracder1D
|
|
}
|
|
|
|
/// Evaluates the derivative of a two-dimensional polynomial divided by its 2nd independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param y double value that represents the current input in the 2nd dimension
|
|
virtual inline double polyfracder(const std::vector< std::vector<double> > &coefficients, double x, double y){
|
|
throw CoolProp::NotImplementedError("Derivatives of polynomials divided by their independent variable have not been implemented."); // TODO: Implement polyfracder2D
|
|
}
|
|
|
|
/// Evaluates the derivative of a centred one-dimensional polynomial divided by its independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current position
|
|
/// @param xbase central temperature for fitted function
|
|
virtual inline double polyfracdercentral(const std::vector<double> &coefficients, double x, double xbase){
|
|
throw CoolProp::NotImplementedError("Derivatives of polynomials divided by their independent variable have not been implemented."); // TODO: Implement polyfracdercentral1D
|
|
}
|
|
|
|
/// Evaluates the derivative of a centred two-dimensional polynomial divided by its 2nd independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param y double value that represents the current input in the 2nd dimension
|
|
/// @param ybase central temperature for fitted function
|
|
virtual inline double polyfracdercentral(const std::vector< std::vector<double> > &coefficients, double x, double y, double ybase){
|
|
throw CoolProp::NotImplementedError("Derivatives of polynomials divided by their independent variable have not been implemented."); // TODO: Implement polyfracdercentral2D
|
|
}
|
|
};
|
|
|
|
|
|
|
|
|
|
/** Implements the function wrapper interface and can be
|
|
* used by the solvers.
|
|
* TODO: Make multidimensional
|
|
*/
|
|
class PolyResidual : public FuncWrapper1D {
|
|
protected:
|
|
enum dims {i1D, i2D};
|
|
/// Object that evaluates the equation
|
|
BasePolynomial poly;
|
|
/// Current output value
|
|
double output, firstDim;
|
|
int dim;
|
|
std::vector< std::vector<double> > coefficients;
|
|
private:
|
|
PolyResidual();
|
|
public:
|
|
PolyResidual(const std::vector<double> &coefficients, double y);
|
|
PolyResidual(const std::vector< std::vector<double> > &coefficients, double x, double z);
|
|
virtual ~PolyResidual(){};
|
|
virtual double call(double x);
|
|
virtual double deriv(double x);
|
|
};
|
|
class PolyIntResidual : public PolyResidual {
|
|
public:
|
|
virtual double call(double x);
|
|
virtual double deriv(double x);
|
|
};
|
|
class PolyFracIntResidual : public PolyResidual {
|
|
public:
|
|
virtual double call(double x);
|
|
virtual double deriv(double x);
|
|
};
|
|
class PolyDerResidual : public PolyResidual {
|
|
public:
|
|
virtual double call(double x);
|
|
virtual double deriv(double x);
|
|
};
|
|
|
|
|
|
|
|
|
|
/** Implements the same public functions as the
|
|
* but solves the polynomial for the given value
|
|
* instead of evaluating it.
|
|
* TODO: This class does not check for bijective
|
|
* polynomials and is therefore a little
|
|
* fragile.
|
|
*/
|
|
class PolynomialSolver : public BasePolynomial{
|
|
private:
|
|
enum solvers {iNewton, iBrent};
|
|
int uses;
|
|
double guess, min, max;
|
|
double macheps, tol;
|
|
int maxiter;
|
|
|
|
public:
|
|
// Constructor
|
|
PolynomialSolver();
|
|
// Destructor. No implementation
|
|
virtual ~PolynomialSolver(){};
|
|
|
|
public:
|
|
/** Here we redefine the functions that solve the polynomials.
|
|
* These implementations all use the base class to evaluate
|
|
* the polynomial during the solution process.
|
|
*/
|
|
|
|
/** Everything related to the normal polynomials goes in this
|
|
* section, holds all the functions for solving polynomials.
|
|
*/
|
|
/// Solves a one-dimensional polynomial for the given coefficients
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param y double value that represents the current input
|
|
virtual double polyval(const std::vector<double> &coefficients, double y);
|
|
|
|
/// Solves a two-dimensional polynomial for the given coefficients
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param z double value that represents the current output
|
|
virtual double polyval(const std::vector< std::vector<double> > &coefficients, double x, double z);
|
|
|
|
|
|
/** Everything related to the integrated polynomials goes in this
|
|
* section, holds all the functions for solving polynomials.
|
|
*/
|
|
/// Solves the indefinite integral of a one-dimensional polynomial
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param y double value that represents the current output
|
|
virtual double polyint(const std::vector<double> &coefficients, double y);
|
|
|
|
/// Solves the indefinite integral of a two-dimensional polynomial along the 2nd axis (y)
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param z double value that represents the current output
|
|
virtual double polyint(const std::vector< std::vector<double> > &coefficients, double x, double z);
|
|
|
|
|
|
/** Everything related to the derived polynomials goes in this
|
|
* section, holds all the functions for solving polynomials.
|
|
*/
|
|
/// Solves the derivative of a one-dimensional polynomial
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param y double value that represents the current output
|
|
virtual double polyder(const std::vector<double> &coefficients, double y);
|
|
|
|
/// Solves the derivative of a two-dimensional polynomial along the 2nd axis (y)
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param z double value that represents the current output
|
|
virtual double polyder(const std::vector< std::vector<double> > &coefficients, double x, double z);
|
|
|
|
|
|
/** Everything related to the polynomials divided by one variable goes in this
|
|
* section, holds all the functions for solving polynomials.
|
|
*/
|
|
/// Solves the indefinite integral of a one-dimensional polynomial divided by its independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param y double value that represents the current output
|
|
virtual double polyfracval(const std::vector<double> &coefficients, double y);
|
|
|
|
/// Solves the indefinite integral of a two-dimensional polynomial divided by its 2nd independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param z double value that represents the current output
|
|
virtual double polyfracval(const std::vector< std::vector<double> > &coefficients, double x, double z);
|
|
|
|
|
|
/** Everything related to the integrated polynomials divided by one variable goes in this
|
|
* section, holds all the functions for solving polynomials.
|
|
*/
|
|
/// Solves the indefinite integral of a one-dimensional polynomial divided by its independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param y double value that represents the current output
|
|
virtual double polyfracint(const std::vector<double> &coefficients, double y);
|
|
|
|
/// Solves the indefinite integral of a two-dimensional polynomial divided by its 2nd independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param z double value that represents the current output
|
|
virtual double polyfracint(const std::vector< std::vector<double> > &coefficients, double x, double z);
|
|
|
|
/// Solves the indefinite integral of a centred one-dimensional polynomial divided by its independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param y double value that represents the current output
|
|
/// @param xbase central x-value for fitted function
|
|
virtual double polyfracintcentral(const std::vector<double> &coefficients, double y, double xbase);
|
|
|
|
/// Solves the indefinite integral of a centred two-dimensional polynomial divided by its 2nd independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param z double value that represents the current output
|
|
/// @param ybase central y-value for fitted function
|
|
virtual double polyfracintcentral(const std::vector< std::vector<double> > &coefficients, double x, double z, double ybase);
|
|
|
|
|
|
/** Everything related to the derived polynomials divided by one variable goes in this
|
|
* section, holds all the functions for solving polynomials.
|
|
*/
|
|
/// Solves the derivative of a one-dimensional polynomial divided by its independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param y double value that represents the current output
|
|
virtual double polyfracder(const std::vector<double> &coefficients, double y);
|
|
|
|
/// Solves the derivative of a two-dimensional polynomial divided by its 2nd independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param z double value that represents the current output
|
|
virtual double polyfracder(const std::vector< std::vector<double> > &coefficients, double x, double z);
|
|
|
|
/// Solves the derivative of a centred one-dimensional polynomial divided by its independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param y double value that represents the current output
|
|
/// @param xbase central x-value for fitted function
|
|
virtual double polyfracdercentral(const std::vector<double> &coefficients, double y, double xbase);
|
|
|
|
/// Solves the derivative of a centred two-dimensional polynomial divided by its 2nd independent variable
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param z double value that represents the current output
|
|
/// @param ybase central y-value for fitted function
|
|
virtual double polyfracdercentral(const std::vector< std::vector<double> > &coefficients, double x, double z, double ybase);
|
|
|
|
|
|
/** Set the solvers and updates either the guess values or the
|
|
* boundaries for the variable to solve for.
|
|
*/
|
|
/// Sets the guess value for the Newton solver and enables it.
|
|
/// @param guess double value that represents the guess value
|
|
virtual void setGuess(double guess);
|
|
/// Sets the limits for the Brent solver and enables it.
|
|
/// @param min double value that represents the lower boundary
|
|
/// @param max double value that represents the upper boundary
|
|
virtual void setLimits(double min, double max);
|
|
/// Solves the equations based on previously defined parameters.
|
|
/// @param min double value that represents the lower boundary
|
|
/// @param max double value that represents the upper boundary
|
|
virtual double solve(PolyResidual &res);
|
|
};
|
|
|
|
|
|
/// The base class for exponential functions
|
|
class BaseExponential{
|
|
|
|
protected:
|
|
BasePolynomial poly;
|
|
bool DEBUG;
|
|
|
|
public:
|
|
BaseExponential();
|
|
virtual ~BaseExponential(){};
|
|
|
|
public:
|
|
/// Evaluates an exponential function for the given coefficients
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input
|
|
/// @param n int value that determines the kind of exponential function
|
|
double expval(const std::vector<double> &coefficients, double x, int n);
|
|
|
|
/// Evaluates an exponential function for the given coefficients
|
|
/// @param coefficients vector containing the ordered coefficients
|
|
/// @param x double value that represents the current input in the 1st dimension
|
|
/// @param y double value that represents the current input in the 2nd dimension
|
|
/// @param n int value that determines the kind of exponential function
|
|
double expval(const std::vector< std::vector<double> > &coefficients, double x, double y, int n);
|
|
};
|
|
|
|
|
|
}; /* namespace CoolProp */
|
|
#endif
|