math_TrigonometricFunctionRoots Class Reference

This class implements the solutions of the equation a*std::cos(x)*std::cos(x) + 2*b*std::cos(x)*Sin(x) + c*std::cos(x) + d*Sin(x) + e The degree of this equation can be 4, 3 or 2. More...

#include <math_TrigonometricFunctionRoots.hxx>

Public Member Functions
	math_TrigonometricFunctionRoots (const double A, const double B, const double C, const double D, const double E, const double InfBound, const double SupBound)
	Given coefficients a, b, c, d , e, this constructor performs the resolution of the equation above. The solutions must be contained in [InfBound, SupBound]. InfBound and SupBound can be set by default to 0 and 2*PI.
	math_TrigonometricFunctionRoots (const double D, const double E, const double InfBound, const double SupBound)
	Given the two coefficients d and e, it performs the resolution of d*sin(x) + e = 0. The solutions must be contained in [InfBound, SupBound]. InfBound and SupBound can be set by default to 0 and 2*PI.
	math_TrigonometricFunctionRoots (const double C, const double D, const double E, const double InfBound, const double SupBound)
	Given the three coefficients c, d and e, it performs the resolution of c*std::cos(x) + d*sin(x) + e = 0. The solutions must be contained in [InfBound, SupBound]. InfBound and SupBound can be set by default to 0 and 2*PI.
bool	IsDone () const
	Returns true if the computations are successful, otherwise returns false.
bool	InfiniteRoots () const
	Returns true if there is an infinity of roots, otherwise returns false.
double	Value (const int Index) const
	Returns the solution of range Index. An exception is raised if NotDone. An exception is raised if Index>NbSolutions. An exception is raised if there is an infinity of solutions.
int	NbSolutions () const
	Returns the number of solutions found. An exception is raised if NotDone. An exception is raised if there is an infinity of solutions.
void	Dump (Standard_OStream &o) const
	Prints information on the current state of the object.

Protected Member Functions
void	Perform (const double A, const double B, const double C, const double D, const double E, const double InfBound, const double SupBound)
	is used by the constructors above.

Detailed Description

This class implements the solutions of the equation a*std::cos(x)*std::cos(x) + 2*b*std::cos(x)*Sin(x) + c*std::cos(x) + d*Sin(x) + e The degree of this equation can be 4, 3 or 2.

Constructor & Destructor Documentation

math_TrigonometricFunctionRoots() [1/3]

math_TrigonometricFunctionRoots::math_TrigonometricFunctionRoots	(	const double	A,
		const double	B,
		const double	C,
		const double	D,
		const double	E,
		const double	InfBound,
		const double	SupBound )

Given coefficients a, b, c, d , e, this constructor performs the resolution of the equation above. The solutions must be contained in [InfBound, SupBound]. InfBound and SupBound can be set by default to 0 and 2*PI.

math_TrigonometricFunctionRoots() [2/3]

math_TrigonometricFunctionRoots::math_TrigonometricFunctionRoots	(	const double	D,
		const double	E,
		const double	InfBound,
		const double	SupBound )

Given the two coefficients d and e, it performs the resolution of d*sin(x) + e = 0. The solutions must be contained in [InfBound, SupBound]. InfBound and SupBound can be set by default to 0 and 2*PI.

math_TrigonometricFunctionRoots() [3/3]

math_TrigonometricFunctionRoots::math_TrigonometricFunctionRoots	(	const double	C,
		const double	D,
		const double	E,
		const double	InfBound,
		const double	SupBound )

Given the three coefficients c, d and e, it performs the resolution of c*std::cos(x) + d*sin(x) + e = 0. The solutions must be contained in [InfBound, SupBound]. InfBound and SupBound can be set by default to 0 and 2*PI.

Member Function Documentation

Dump()

void math_TrigonometricFunctionRoots::Dump

(

Standard_OStream &

o

)

const

Prints information on the current state of the object.

InfiniteRoots()

bool math_TrigonometricFunctionRoots::InfiniteRoots

(

)

const

Returns true if there is an infinity of roots, otherwise returns false.

IsDone()

bool math_TrigonometricFunctionRoots::IsDone

(

)

const

Returns true if the computations are successful, otherwise returns false.

NbSolutions()

int math_TrigonometricFunctionRoots::NbSolutions

(

)

const

Returns the number of solutions found. An exception is raised if NotDone. An exception is raised if there is an infinity of solutions.

Perform()

void math_TrigonometricFunctionRoots::Perform ( const double A, const double B, const double C, const double D, const double E, const double InfBound, const double SupBound )

protected

is used by the constructors above.

Value()

double math_TrigonometricFunctionRoots::Value

(

const int

Index

)

const

Returns the solution of range Index. An exception is raised if NotDone. An exception is raised if Index>NbSolutions. An exception is raised if there is an infinity of solutions.

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

• math_TrigonometricFunctionRoots.hxx