Classes
LowerMatrix

Classes

class  blaze::LowerMatrix< MT, SO, DF >
 Matrix adapter for lower triangular $ N \times N $ matrices. More...
 
class  blaze::LowerProxy< MT >
 Access proxy for lower triangular matrices.The LowerProxy provides controlled access to the elements of a non-const lower triangular matrix. It guarantees that the lower matrix invariant is not violated, i.e. that elements in the upper part of the matrix remain default values. The following example illustrates this by means of a $ 3 \times 3 $ dense lower matrix: More...
 

LowerProxy global functions

template<typename MT >
void blaze::reset (const LowerProxy< MT > &proxy)
 Resetting the represented element to the default initial values. More...
 
template<typename MT >
void blaze::clear (const LowerProxy< MT > &proxy)
 Clearing the represented element. More...
 
template<bool RF, typename MT >
bool blaze::isDefault (const LowerProxy< MT > &proxy)
 Returns whether the represented element is in default state. More...
 
template<bool RF, typename MT >
bool blaze::isReal (const LowerProxy< MT > &proxy)
 Returns whether the matrix element represents a real number. More...
 
template<bool RF, typename MT >
bool blaze::isZero (const LowerProxy< MT > &proxy)
 Returns whether the represented element is 0. More...
 
template<bool RF, typename MT >
bool blaze::isOne (const LowerProxy< MT > &proxy)
 Returns whether the represented element is 1. More...
 
template<typename MT >
bool blaze::isnan (const LowerProxy< MT > &proxy)
 Returns whether the represented element is not a number. More...
 

LowerMatrix operators

template<typename MT , bool SO, bool DF>
void blaze::reset (LowerMatrix< MT, SO, DF > &m)
 Resetting the given lower matrix. More...
 
template<typename MT , bool SO, bool DF>
void blaze::reset (LowerMatrix< MT, SO, DF > &m, size_t i)
 Resetting the specified row/column of the given lower matrix. More...
 
template<typename MT , bool SO, bool DF>
void blaze::clear (LowerMatrix< MT, SO, DF > &m)
 Clearing the given lower matrix. More...
 
template<bool RF, typename MT , bool SO, bool DF>
bool blaze::isDefault (const LowerMatrix< MT, SO, DF > &m)
 Returns whether the given lower matrix is in default state. More...
 
template<typename MT , bool SO, bool DF>
bool blaze::isIntact (const LowerMatrix< MT, SO, DF > &m)
 Returns whether the invariants of the given lower matrix are intact. More...
 
template<typename MT , bool SO, bool DF>
void blaze::swap (LowerMatrix< MT, SO, DF > &a, LowerMatrix< MT, SO, DF > &b) noexcept
 Swapping the contents of two matrices. More...
 

UpperMatrix operators

template<typename MT , bool SO, bool DF>
bool blaze::isIntact (const UpperMatrix< MT, SO, DF > &m)
 Returns whether the invariants of the given lower matrix are intact. More...
 

Detailed Description

Function Documentation

◆ clear() [1/2]

template<typename MT , bool SO, bool DF>
void blaze::clear ( LowerMatrix< MT, SO, DF > &  m)
inline

Clearing the given lower matrix.

Parameters
mThe lower matrix to be cleared.
Returns
void

◆ clear() [2/2]

template<typename MT >
void blaze::clear ( const LowerProxy< MT > &  proxy)
inline

Clearing the represented element.

Parameters
proxyThe given access proxy.
Returns
void

This function clears the element represented by the access proxy to its default initial state.

◆ isDefault() [1/2]

template<bool RF, typename MT , bool SO, bool DF>
bool blaze::isDefault ( const LowerMatrix< MT, SO, DF > &  m)
inline

Returns whether the given lower matrix is in default state.

Parameters
mThe lower matrix to be tested for its default state.
Returns
true in case the given matrix is component-wise zero, false otherwise.

This function checks whether the matrix is in default state. For instance, in case the matrix is instantiated for a built-in integral or floating point data type, the function returns true in case all matrix elements are 0 and false in case any matrix element is not 0. The following example demonstrates the use of the isDefault function:

LowerMatrix< DynamicMatrix<int> > A;
// ... Resizing and initialization
if( isDefault( A ) ) { ... }

Optionally, it is possible to switch between strict semantics (blaze::strict) and relaxed semantics (blaze::relaxed):

if( isDefault<relaxed>( A ) ) { ... }

◆ isDefault() [2/2]

template<bool RF, typename MT >
bool blaze::isDefault ( const LowerProxy< MT > &  proxy)
inline

Returns whether the represented element is in default state.

Parameters
proxyThe given access proxy
Returns
true in case the represented element is in default state, false otherwise.

This function checks whether the element represented by the access proxy is in default state. In case it is in default state, the function returns true, otherwise it returns false.

◆ isIntact() [1/2]

template<typename MT , bool SO, bool DF>
bool blaze::isIntact ( const LowerMatrix< MT, SO, DF > &  m)
inline

Returns whether the invariants of the given lower matrix are intact.

Parameters
mThe lower matrix to be tested.
Returns
true in case the given matrix's invariants are intact, false otherwise.

This function checks whether the invariants of the lower matrix are intact, i.e. if its state is valid. In case the invariants are intact, the function returns true, else it will return false. The following example demonstrates the use of the isIntact() function:

LowerMatrix< DynamicMatrix<int> > A;
// ... Resizing and initialization
if( isIntact( A ) ) { ... }

◆ isIntact() [2/2]

template<typename MT , bool SO, bool DF>
bool blaze::isIntact ( const UpperMatrix< MT, SO, DF > &  m)
inline

Returns whether the invariants of the given lower matrix are intact.

Parameters
mThe lower matrix to be tested.
Returns
true in case the given matrix's invariants are intact, false otherwise.

This function checks whether the invariants of the lower matrix are intact, i.e. if its state is valid. In case the invariants are intact, the function returns true, else it will return false. The following example demonstrates the use of the isIntact() function:

UpperMatrix< DynamicMatrix<int> > A;
// ... Resizing and initialization
if( isIntact( A ) ) { ... }

◆ isnan()

template<typename MT >
bool blaze::isnan ( const LowerProxy< MT > &  proxy)
inline

Returns whether the represented element is not a number.

Parameters
proxyThe given access proxy.
Returns
true in case the represented element is in not a number, false otherwise.

This function checks whether the element represented by the access proxy is not a number (NaN). In case it is not a number, the function returns true, otherwise it returns false.

◆ isOne()

template<bool RF, typename MT >
bool blaze::isOne ( const LowerProxy< MT > &  proxy)
inline

Returns whether the represented element is 1.

Parameters
proxyThe given access proxy.
Returns
true in case the represented element is 1, false otherwise.

This function checks whether the element represented by the access proxy represents the numeric value 1. In case it is 1, the function returns true, otherwise it returns false.

◆ isReal()

template<bool RF, typename MT >
bool blaze::isReal ( const LowerProxy< MT > &  proxy)
inline

Returns whether the matrix element represents a real number.

Parameters
proxyThe given access proxy.
Returns
true in case the matrix element represents a real number, false otherwise.

This function checks whether the element represented by the access proxy represents the a real number. In case the element is of built-in type, the function returns true. In case the element is of complex type, the function returns true if the imaginary part is equal to 0. Otherwise it returns false.

◆ isZero()

template<bool RF, typename MT >
bool blaze::isZero ( const LowerProxy< MT > &  proxy)
inline

Returns whether the represented element is 0.

Parameters
proxyThe given access proxy.
Returns
true in case the represented element is 0, false otherwise.

This function checks whether the element represented by the access proxy represents the numeric value 0. In case it is 0, the function returns true, otherwise it returns false.

◆ reset() [1/3]

template<typename MT , bool SO, bool DF>
void blaze::reset ( LowerMatrix< MT, SO, DF > &  m)
inline

Resetting the given lower matrix.

Parameters
mThe lower matrix to be resetted.
Returns
void

◆ reset() [2/3]

template<typename MT , bool SO, bool DF>
void blaze::reset ( LowerMatrix< MT, SO, DF > &  m,
size_t  i 
)
inline

Resetting the specified row/column of the given lower matrix.

Parameters
mThe lower matrix to be resetted.
iThe index of the row/column to be resetted.
Returns
void

This function resets the values in the specified row/column of the given lower matrix to their default value. In case the given matrix is a rowMajor matrix the function resets the values in row i, if it is a columnMajor matrix the function resets the values in column i. Note that the capacity of the row/column remains unchanged.

◆ reset() [3/3]

template<typename MT >
void blaze::reset ( const LowerProxy< MT > &  proxy)
inline

Resetting the represented element to the default initial values.

Parameters
proxyThe given access proxy.
Returns
void

This function resets the element represented by the access proxy to its default initial value.

◆ swap()

template<typename MT , bool SO, bool DF>
void blaze::swap ( LowerMatrix< MT, SO, DF > &  a,
LowerMatrix< MT, SO, DF > &  b 
)
inlinenoexcept

Swapping the contents of two matrices.

Parameters
aThe first matrix to be swapped.
bThe second matrix to be swapped.
Returns
void