TequationInfo Struct Reference

Detailed Description

For each equation we store different information, including de number of variables, the Jacobian, the Hessian, etc.
This is a private type of Tequations. This information is not stored in Tequation since it can only be computed when the equation is completely defined (i.e., when it is added to the set of equations).

This is ONLY for scalar equations.

See Also

Tequation

Definition at line 46 of file equations.h.

Data Fields
Tequation *	equation
unsigned int	EqType
TLinearConstraint *	lc
unsigned int	n
Tequation **	Jacobian
Tequation ***	Hessian

Field Documentation

Tequation* TequationInfo::equation

The original equation

Definition at line 48 of file equations.h.

Referenced by CopyEquationInfo(), DeleteEquationInfo(), ErrorDueToVariable(), GetFirstOrderApproximationToEquation(), GetOriginalEquation(), SetEquationInfo(), and UpdateSplitWeight().

unsigned int TequationInfo::EqType

Type of equation: LINEAR_EQUATION, SADDLE_EQUATION, PARABOLA_EQUATION, CIRCLE_EQUATION, SPHERE_EQUATION, GENERAL_EQUATION.

Definition at line 50 of file equations.h.

Referenced by AddEquation2Simplex(), CopyEquationInfo(), CropEquation(), DeleteEquationInfo(), ErrorDueToVariable(), SetEquationInfo(), and UpdateSplitWeight().

TLinearConstraint* TequationInfo::lc

For linear equations, we store a linear constraint ready to be added to the simplex

Definition at line 53 of file equations.h.

Referenced by AddEquation2Simplex(), CopyEquationInfo(), CropEquation(), DeleteEquationInfo(), and SetEquationInfo().

unsigned int TequationInfo::n

Number of variables in the equation used to compute the dimension of the Jacobian vector and Hessian matrix

Definition at line 56 of file equations.h.

Referenced by CopyEquationInfo(), CropEquation(), DeleteEquationInfo(), ErrorDueToVariable(), GetFirstOrderApproximationToEquation(), LinearizeGeneralEquation(), SetEquationInfo(), and UpdateSplitWeight().

Tequation** TequationInfo::Jacobian

Jacobian of the equation, i.e., derivative of the equation with respect to each of the variables involved in the equation. Since we consider only quadratic and bilinear equations, the equations in the Jacobian are, at most, linear.
The Jacobian is computed only for non-linear equations.

Definition at line 58 of file equations.h.

Referenced by CopyEquationInfo(), DeleteEquationInfo(), GetFirstOrderApproximationToEquation(), and SetEquationInfo().

Tequation*** TequationInfo::Hessian

Hessian of the equation, i.e., derivative of the Jacobian equations with respect to each of the variables involved in the equation. Since we consider only quadratic and bilinear equations, the entries in the Hessian are constants.
The Hessian is computed only for non-linear equations.

Definition at line 63 of file equations.h.

Referenced by CopyEquationInfo(), DeleteEquationInfo(), ErrorDueToVariable(), GetFirstOrderApproximationToEquation(), and SetEquationInfo().