MatrixCondition Class Reference
[Matrix Characteristics]

Matrix "condition" is a statement about the numerical characteristics of a Matrix. More...

#include <MatrixCharacteristics.h>

Classes
struct	Mask
	Use this class to represent a set of acceptable Condition values. More...
Public Types
enum	Condition { UnknownCondition = 0x0000, Orthogonal = 0x0001, PositiveDefinite = 0x0002, WellConditioned = 0x0004, FullRank = 0x0008, Singular = 0x0010 }
enum	Diagonal { UnknownDiagonal = 0x0000, ZeroDiagonal = 0x0001, OneDiagonal = 0x0002, RealDiagonal = 0x0004, ImaginaryDiagonal = 0x0008 }
typedef unsigned short	ConditionMask
typedef unsigned short	DiagonalMask
Public Member Functions
std::string	name () const
	MatrixCondition ()
	The default constructor sets the condition to Unknown, which is typically where it remains.
	MatrixCondition (Condition cond, Diagonal diag=UnknownDiagonal)
	This is an implicit conversion from the Condition enum to a MatrixCondition object.
MatrixCondition &	setToNone ()
	Restore to default-constructed state of "none".
Mask	mask () const
	Return the commitment mask corresponding to use of "this" condition as a commitment.
Condition	getCondition () const
Diagonal	getDiagonal () const
MatrixCondition &	setCondition (Condition c)
MatrixCondition &	setDiagonal (Diagonal d)
Static Public Member Functions
static const char *	name (Condition)
static const char *	name (Diagonal)
static ConditionMask	calcMask (Condition)
	Given a particular Condition provided as a commitment, calculate the mask of all Condition values that would satisfy that commitment.
static DiagonalMask	calcMask (Diagonal)
	Given a particular Diagonal condition provided as a commitment, calculate the mask of all Diagonal conditions taht would satisfy that commitment.
Static Public Attributes
static const ConditionMask	AnyCondition = 0x001fU
static const ConditionMask	UncommittedCondition = 0xffffU
static const DiagonalMask	AnyDiagonal = 0x000fU
static const DiagonalMask	UncommittedDiagonal = 0xffffU

Detailed Description

Matrix "condition" is a statement about the numerical characteristics of a Matrix.

It can be set as a result of an operation, or by a knowledgeable user. Simmatrix is entitled to rely on the correctness of these assertions, although it will try to check them if requested or when it is possible to do so without sacrificing performance. In most cases the condition will not be set at all, which we interpret to mean "unknown condition" in an actual character, and "uncommitted" in a character commitment.

Member Typedef Documentation

typedef unsigned short ConditionMask

typedef unsigned short DiagonalMask

Member Enumeration Documentation

enum Condition

Enumerator:

UnknownCondition
Orthogonal
PositiveDefinite
WellConditioned
FullRank
Singular

enum Diagonal

Enumerator:

UnknownDiagonal	we don't know the condition of the diagonal elements
ZeroDiagonal	all diagonal elements are zero (also pure real and pure imaginary)
OneDiagonal	all diagonal elements are one (and real)
RealDiagonal	all diagonal elements are pure real
ImaginaryDiagonal	all diagonal elements are pure imaginary

Constructor & Destructor Documentation

MatrixCondition ( ) [inline]

The default constructor sets the condition to Unknown, which is typically where it remains.

MatrixCondition	(	Condition	cond,
		Diagonal	diag = `UnknownDiagonal`
	)			`[inline]`

This is an implicit conversion from the Condition enum to a MatrixCondition object.

Member Function Documentation

static DiagonalMask calcMask ( Diagonal ) [static]

Given a particular Diagonal condition provided as a commitment, calculate the mask of all Diagonal conditions taht would satisfy that commitment.

For example, if the commitment is "RealDiagonal" then "ZeroDiagonal" and "OneDiagonal" would also be acceptable. If the Diagonal condition is specified as "UnknownDiagonal" then we'll return an Uncommitted mask.

static ConditionMask calcMask ( Condition ) [static]

Given a particular Condition provided as a commitment, calculate the mask of all Condition values that would satisfy that commitment.

For example, if the commitment is "WellConditioned" then "Orthogonal" and "PositiveDefinite" also qualify since they are automatically well conditioned. If the Condition is "Unknown" we'll return an Uncommitted mask.

Condition getCondition ( ) const [inline]