casa  \$Rev:20696\$
casa::SquareMatrix< T, n > Class Template Reference

Fast Square Matrix class with fixed (templated) size. More...

`#include <SquareMatrix.h>`

List of all members.

## Public Types

enum  {
General,
Diagonal,
ScalarId
}
Enum used internally to optimize operations. More...

## Public Member Functions

~SquareMatrix ()
Destructor.
SquareMatrix ()
Default constructor - creates a unity matrix at present, this may not be what we want (non-intuitive?)
SquareMatrix (int itype)
Create a matrix of a given type, no initialization.
SquareMatrix (const SquareMatrix< T, n > &m)
Copy construct a SquareMatrix, a true copy is made.
SquareMatrix (const T a[n][n])
Construct from c-style matrix (by copying elements).
SquareMatrix (const Matrix< T > &mat)
Construct from Matrix.
SquareMatrix (const T vec[n])
Construct from c-style vector, creates a diagonal matrix.
SquareMatrix (const Vector< T > &vec)
Construct from Vector, creates a diagonal matrix.
SquareMatrix (const T &scalar)
Construct from scalar, creates a scalar-identity matrix.
SquareMatrix< T, n > & operator= (const SquareMatrix< T, n > &m)
Assignment, uses copy semantics.
SquareMatrix< T, n > & operator= (const T a[n][n])
Assign a c-style matrix, creates a general matrix.
SquareMatrix< T, n > & operator= (const Matrix< T > &m)
Assign a Matrix, creates a general matrix.
SquareMatrix< T, n > & operator= (const T vec[n])
Assign a c-style vector, creates a diagonal matrix.
SquareMatrix< T, n > & operator= (const Vector< T > &v)
Assign a Vector, creates a diagonal matrix.
SquareMatrix< T, n > & operator= (T val)
Assign a scalar, creates a scalar-identity matrix.
SquareMatrix< T, n > & operator+= (const SquareMatrix< T, n > &other)
Add two SquareMatrices, element by element.
SquareMatrix< T, n > & operator*= (const SquareMatrix< T, n > &other)
Matrix product of 'this' SquareMatrix with other, i.e., A*=B; is equivalent with A=A*B where '*' is matrix multiplication.
SquareMatrix< T, n > & operator*= (Float f)
Scalar multiplication.
operator() (Int i, Int j) const
Indexing, only const indexing is allowed.
T & operator() (Int i, Int j)
Non const indexing, throws exception if you try to change an element which would require a type change of the matrix.
SquareMatrix< T, n > & conj ()
For a `SquareMatrix<Complex,n>`: set the argument result to the real part of the matrix (and return result by reference to allow use in expressions without creating temporary).
SquareMatrix< T, n > & adjoint ()
Tranpose and conjugate the matrix in place(!).
SquareMatrix< T, n > & conj (SquareMatrix< T, n > &result)
Conjugate the matrix, return it in result (and by ref)
SquareMatrix< T, n > & adjoint (SquareMatrix< T, n > &result)
Tranpose and conjugate the matrix, return it in result (and by ref)
SquareMatrix< T, n > & inverse (SquareMatrix< T, n > &result) const
Compute the inverse of the matrix and return it in result (also returns result by reference).
SquareMatrix< T, n > inverse () const
Return the inverse of the matrix by value.
Matrix< T > & matrix (Matrix< T > &result) const
Assign 'this' to the Matrix result, also return result by reference.
Matrix< T > matrix () const
Convert the SquareMatrix to a Matrix.

## Private Member Functions

T & throwInvAccess ()

a_p [n][n]
Int type_p

## Friends

class RigidVector< T, n >
Friends currently need to be explicit (non templated) type to work.
RigidVector< Complex, 4 > operator* (const SquareMatrix< Complex, 4 > &m, const RigidVector< Float, 4 > &v)
friend class SquareMatrix<T,n*n>;// Sun native does not accept this friend class SquareMatrix<Complex,4>; // for directProduct of 2x2 Global friend function for product of Complex matrix and Float 4-vector
SquareMatrix< Complex, 4 > & directProduct (SquareMatrix< Complex, 4 > &result, const SquareMatrix< Complex, 2 > &left, const SquareMatrix< Complex, 2 > &right)
Global friend function to calculate direct product.

## Detailed Description

### template<class T, Int n> class casa::SquareMatrix< T, n >

Fast Square Matrix class with fixed (templated) size.

Public interface

Date Reviewed:
yyyy/mm/dd

### Etymology

SquareMatrix is a specialized class for small (<5x5) square matrices.

### Synopsis

SquareMatrix provides operations similar to the Matrix class, but it is much faster for small arrays. One important difference is that operators *= and * do matrix products for SquareMatrices instead of element by element multiplication. SquareMatrices also optimize operations internally for scalar identity matrices (diagonal matrix with all elements equal) and diagonal matrices. The different types of SquareMatrix are created by constructors and operator= taking either a scalar, a vector or a full matrix.

### Example

```    // create two SquareMatrices
SquareMatrix<Float,2> sm1(3.0); // a scalar identity matrix
Vector<Float> vec(2); vec(0)=2.0; vec(1)=3.0;
SquareMatrix<Float,2> sm2(vec); // a diagonal matrix
// multiply the matrices
// Note: A*=B is equivalent to A=A*B where '*' is matrix multiplication
sm1*=sm2; // sm1 now diagonal
```

### Motivation

The basic Matrix classes are rather inefficient for small sizes, new and delete tend to dominate the execution time for computationally intensive code. The SquareMatrix classes circumvent this by having a compile-time fixed size c-array internally. The SquareMatrix class have fixed zero origin and no increments, this allows fast indexing, copying and math operations. As mentioned in the synopsis, the SquareMatrix classes also avoid unnecessary operations for simple matrices (scalar-identity and diagonal).

### Template Type Argument Requirements (T)

• real() is called for T=Complex/DComplex

### Thrown Exceptions

• No exceptions

### To Do

• when the Sun native compiler improves, some explicit instantiations can be replaced by their templated equivalent and two constructor calls with for loops can be moved out of line.
• not all operators and math functions available for Matrix are implemented yet, add on as-needed basis.

Definition at line 107 of file SquareMatrix.h.

## Member Enumeration Documentation

template<class T, Int n>
 anonymous enum

Enum used internally to optimize operations.

Enumerator:
 General Diagonal ScalarId

Definition at line 123 of file SquareMatrix.h.

## Constructor & Destructor Documentation

template<class T, Int n>
 casa::SquareMatrix< T, n >::~SquareMatrix ( ) ` [inline]`

Destructor.

Definition at line 125 of file SquareMatrix.h.

template<class T, Int n>
 casa::SquareMatrix< T, n >::SquareMatrix ( ) ` [inline]`

Default constructor - creates a unity matrix at present, this may not be what we want (non-intuitive?)

Definition at line 128 of file SquareMatrix.h.

template<class T, Int n>
 casa::SquareMatrix< T, n >::SquareMatrix ( int itype ) ` [inline]`

Create a matrix of a given type, no initialization.

Definition at line 130 of file SquareMatrix.h.

template<class T, Int n>
 casa::SquareMatrix< T, n >::SquareMatrix ( const SquareMatrix< T, n > & m ) ` [inline]`

Copy construct a SquareMatrix, a true copy is made.

Definition at line 132 of file SquareMatrix.h.

template<class T, Int n>
 casa::SquareMatrix< T, n >::SquareMatrix ( const T a[n][n] ) ` [inline]`

Construct from c-style matrix (by copying elements).

Definition at line 134 of file SquareMatrix.h.

template<class T, Int n>
 casa::SquareMatrix< T, n >::SquareMatrix ( const Matrix< T > & mat ) ` [inline]`

Construct from Matrix.

Definition at line 136 of file SquareMatrix.h.

template<class T, Int n>
 casa::SquareMatrix< T, n >::SquareMatrix ( const T vec[n] ) ` [inline]`

Construct from c-style vector, creates a diagonal matrix.

Definition at line 138 of file SquareMatrix.h.

template<class T, Int n>
 casa::SquareMatrix< T, n >::SquareMatrix ( const Vector< T > & vec ) ` [inline]`

Construct from Vector, creates a diagonal matrix.

Definition at line 140 of file SquareMatrix.h.

template<class T, Int n>
 casa::SquareMatrix< T, n >::SquareMatrix ( const T & scalar ) ` [inline]`

Construct from scalar, creates a scalar-identity matrix.

Definition at line 142 of file SquareMatrix.h.

## Member Function Documentation

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::adjoint ( )

Tranpose and conjugate the matrix in place(!).

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::adjoint ( SquareMatrix< T, n > & result )

Tranpose and conjugate the matrix, return it in result (and by ref)

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::conj ( )

For a `SquareMatrix<Complex,n>`: set the argument result to the real part of the matrix (and return result by reference to allow use in expressions without creating temporary).

For a `SquareMatrix<Complex,n>`: return the real part of the matrix.

Conjugate the matrix in place(!).

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::conj ( SquareMatrix< T, n > & result )

Conjugate the matrix, return it in result (and by ref)

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::inverse ( SquareMatrix< T, n > & result ) const

Compute the inverse of the matrix and return it in result (also returns result by reference).

template<class T, Int n>
 SquareMatrix casa::SquareMatrix< T, n >::inverse ( ) const` [inline]`

Return the inverse of the matrix by value.

Definition at line 226 of file SquareMatrix.h.

Referenced by casa::SquareMatrix< Complex, 2 >::inverse().

template<class T, Int n>
 Matrix& casa::SquareMatrix< T, n >::matrix ( Matrix< T > & result ) const

Assign 'this' to the Matrix result, also return result by reference.

template<class T, Int n>
 Matrix casa::SquareMatrix< T, n >::matrix ( ) const` [inline]`

Convert the SquareMatrix to a Matrix.

Definition at line 231 of file SquareMatrix.h.

Referenced by casa::SquareMatrix< Complex, 2 >::matrix().

template<class T, Int n>
 T casa::SquareMatrix< T, n >::operator() ( Int i, Int j ) const` [inline]`

Indexing, only const indexing is allowed.

You cannot change the matrix via indexing. No bounds checking.

Definition at line 176 of file SquareMatrix.h.

template<class T, Int n>
 T& casa::SquareMatrix< T, n >::operator() ( Int i, Int j ) ` [inline]`

Non const indexing, throws exception if you try to change an element which would require a type change of the matrix.

Definition at line 187 of file SquareMatrix.h.

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::operator*= ( const SquareMatrix< T, n > & other )

Matrix product of 'this' SquareMatrix with other, i.e., A*=B; is equivalent with A=A*B where '*' is matrix multiplication.

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::operator*= ( Float f )

Scalar multiplication.

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::operator+= ( const SquareMatrix< T, n > & other )

Add two SquareMatrices, element by element.

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::operator= ( const SquareMatrix< T, n > & m )

Assignment, uses copy semantics.

Referenced by casa::SquareMatrix< Complex, 2 >::SquareMatrix().

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::operator= ( const T a[n][n] ) ` [inline]`

Assign a c-style matrix, creates a general matrix.

Definition at line 146 of file SquareMatrix.h.

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::operator= ( const Matrix< T > & m )

Assign a Matrix, creates a general matrix.

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::operator= ( const T vec[n] ) ` [inline]`

Assign a c-style vector, creates a diagonal matrix.

Definition at line 156 of file SquareMatrix.h.

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::operator= ( const Vector< T > & v )

Assign a Vector, creates a diagonal matrix.

template<class T, Int n>
 SquareMatrix& casa::SquareMatrix< T, n >::operator= ( T val ) ` [inline]`

Assign a scalar, creates a scalar-identity matrix.

Definition at line 164 of file SquareMatrix.h.

template<class T, Int n>
 T& casa::SquareMatrix< T, n >::throwInvAccess ( ) ` [private]`

## Friends And Related Function Documentation

template<class T, Int n>
 SquareMatrix& directProduct ( SquareMatrix< Complex, 4 > & result, const SquareMatrix< Complex, 2 > & left, const SquareMatrix< Complex, 2 > & right ) ` [friend]`

Global friend function to calculate direct product.

template<class T, Int n>
 RigidVector operator* ( const SquareMatrix< Complex, 4 > & m, const RigidVector< Float, 4 > & v ) ` [friend]`

friend class SquareMatrix<T,n*n>;// Sun native does not accept this friend class SquareMatrix<Complex,4>; // for directProduct of 2x2 Global friend function for product of Complex matrix and Float 4-vector

template<class T, Int n>
 friend class RigidVector< T, n >` [friend]`

Friends currently need to be explicit (non templated) type to work.

Definition at line 109 of file SquareMatrix.h.

## Member Data Documentation

template<class T, Int n>
 T casa::SquareMatrix< T, n >::a_p[n][n]` [private]`

Definition at line 236 of file SquareMatrix.h.

template<class T, Int n>
 Int casa::SquareMatrix< T, n >::type_p` [private]`

Definition at line 237 of file SquareMatrix.h.

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