slip::Matrix4d< Block > Class Template Reference

Numerical matrix4d class. This container statisfies the RandomAccessContainer concepts of the STL except the simple bracket which is replaced by a double bracket. It extends the interface of Array4d adding arithmetical: +=, -=, *=, /=,+,-,/,*... and mathematical operators : min, max, abs, sqrt, cos, acos, sin, asin, tan, atan, exp, log, cosh, sinh, tanh, log10, sum, apply... More...

#include <GenericMultiComponent4d.hpp>

Inheritance diagram for slip::Matrix4d< Block >:

Public Types
typedef T	value_type
typedef Matrix4d< T >	self
typedef const Matrix4d< T >	const_self
typedef value_type *	pointer
typedef value_type const *	const_pointer
typedef value_type &	reference
typedef value_type const &	const_reference
typedef ptrdiff_t	difference_type
typedef std::size_t	size_type
typedef pointer	iterator
typedef const_pointer	const_iterator
typedef std::reverse_iterator < iterator >	reverse_iterator
typedef std::reverse_iterator < const_iterator >	const_reverse_iterator
typedef slip::stride_iterator < pointer >	slab_iterator
typedef slip::stride_iterator < const_pointer >	const_slab_iterator
typedef slip::stride_iterator < pointer >	slice_iterator
typedef slip::stride_iterator < const_pointer >	const_slice_iterator
typedef pointer	row_iterator
typedef const_pointer	const_row_iterator
typedef slip::stride_iterator < pointer >	col_iterator
typedef slip::stride_iterator < const_pointer >	const_col_iterator
typedef slip::stride_iterator < slab_iterator >	slab_range_iterator
typedef slip::stride_iterator < const_slab_iterator >	const_slab_range_iterator
typedef slip::stride_iterator < slice_iterator >	slice_range_iterator
typedef slip::stride_iterator < const_slice_iterator >	const_slice_range_iterator
typedef slip::stride_iterator < pointer >	row_range_iterator
typedef slip::stride_iterator < const_pointer >	const_row_range_iterator
typedef slip::stride_iterator < col_iterator >	col_range_iterator
typedef slip::stride_iterator < const_col_iterator >	const_col_range_iterator
typedef std::reverse_iterator < slab_iterator >	reverse_slab_iterator
typedef std::reverse_iterator < const_slab_iterator >	const_reverse_slab_iterator
typedef std::reverse_iterator < slice_iterator >	reverse_slice_iterator
typedef std::reverse_iterator < const_slice_iterator >	const_reverse_slice_iterator
typedef std::reverse_iterator < iterator >	reverse_row_iterator
typedef std::reverse_iterator < const_iterator >	const_reverse_row_iterator
typedef std::reverse_iterator < col_iterator >	reverse_col_iterator
typedef std::reverse_iterator < const_col_iterator >	const_reverse_col_iterator
typedef std::reverse_iterator < slab_range_iterator >	reverse_slab_range_iterator
typedef std::reverse_iterator < const_slab_range_iterator >	const_reverse_slab_range_iterator
typedef std::reverse_iterator < slice_range_iterator >	reverse_slice_range_iterator
typedef std::reverse_iterator < const_slice_range_iterator >	const_reverse_slice_range_iterator
typedef std::reverse_iterator < row_range_iterator >	reverse_row_range_iterator
typedef std::reverse_iterator < const_row_range_iterator >	const_reverse_row_range_iterator
typedef std::reverse_iterator < col_range_iterator >	reverse_col_range_iterator
typedef std::reverse_iterator < const_col_range_iterator >	const_reverse_col_range_iterator
typedef slip::Array4d< T > ::iterator4d	iterator4d
typedef slip::Array4d< T > ::const_iterator4d	const_iterator4d
typedef slip::Array4d< T > ::iterator4d_range	iterator4d_range
typedef slip::Array4d< T > ::const_iterator4d_range	const_iterator4d_range
typedef std::reverse_iterator < iterator4d >	reverse_iterator4d
typedef std::reverse_iterator < const_iterator4d >	const_reverse_iterator4d
typedef std::reverse_iterator < iterator4d_range >	reverse_iterator4d_range
typedef std::reverse_iterator < const_iterator4d_range >	const_reverse_iterator4d_range
typedef iterator4d	default_iterator
typedef const_iterator4d	const_default_iterator
typedef slip::Range< int >	range

Public Member Functions
void	resize (std::size_t d1, std::size_t d2, std::size_t d3, std::size_t d4, const T &val=T())
	Resizes a Matrix4d. More...
std::string	name () const
	Returns the name of the class. More...
size_type	dim1 () const
	Returns the number of slabs (first dimension size) in the Matrix4d. More...
size_type	slabs () const
	Returns the number of slabs (first dimension size) in the Matrix4d. More...
size_type	dim2 () const
	Returns the number of slices (second dimension size) in the Matrix4d. More...
size_type	slices () const
	Returns the number of slices (second dimension size) in the Matrix4d. More...
size_type	dim3 () const
	Returns the number of rows (third dimension size) in the Matrix4d. More...
size_type	rows () const
	Returns the number of rows (third dimension size) in the Matrix4d. More...
size_type	dim4 () const
	Returns the number of columns (fourth dimension size) in the Matrix4d. More...
size_type	cols () const
	Returns the number of columns (fourth dimension size) in the Matrix4d. More...
size_type	columns () const
	Returns the number of columns (fourth dimension size) in the Matrix4d. More...
size_type	size () const
	Returns the number of elements in the Matrix4d. More...
size_type	max_size () const
	Returns the maximal size (number of elements) in the Matrix4d. More...
bool	empty () const
	Returns true if the Matrix4d is empty. (Thus size() == 0) More...
void	swap (Matrix4d &M)
	Swaps data with another Matrix4d. More...
template<typename T >
	Matrix4d (const typename Matrix4d< T >::size_type d1, const typename Matrix4d< T >::size_type d2, const typename Matrix4d< T >::size_type d3, const typename Matrix4d< T >::size_type d4)
template<typename T >
	Matrix4d (const typename Matrix4d< T >::size_type d1, const typename Matrix4d< T >::size_type d2, const typename Matrix4d< T >::size_type d3, const typename Matrix4d< T >::size_type d4, const T &val)
template<typename T >
	Matrix4d (const typename Matrix4d< T >::size_type d1, const typename Matrix4d< T >::size_type d2, const typename Matrix4d< T >::size_type d3, const typename Matrix4d< T >::size_type d4, const T *val)
Constructors & Destructors
	Matrix4d ()
	Constructs a Matrix4d. More...
	Matrix4d (const std::size_t d1, const std::size_t d2, const std::size_t d3, const std::size_t d4)
	Constructs a Matrix4d. More...
	Matrix4d (const std::size_t d1, const std::size_t d2, const std::size_t d3, const std::size_t d4, const T &val)
	Constructs a Matrix4d initialized by the scalar value val. More...
	Matrix4d (const std::size_t d1, const std::size_t d2, const std::size_t d3, const std::size_t d4, const T *val)
	Constructs a Matrix4d initialized by an array val. More...
template<typename InputIterator >
	Matrix4d (const size_type d1, const size_type d2, const size_type d3, const std::size_t d4, InputIterator first, InputIterator last)
	Contructs a Matrix4d from a range. More...
	Matrix4d (const Matrix4d< T > &rhs)
	Constructs a copy of the Matrix4d rhs. More...
	~Matrix4d ()
	Destructor of the Matrix4d. More...
One dimensional global iterators
const_iterator	begin () const
	Returns a read-only (constant) iterator that points to the first element in the Matrix4d. Iteration is done in ordinary element order. More...
iterator	begin ()
	Returns a read/write iterator that points to the first element in the Matrix4d. Iteration is done in ordinary element order. More...
iterator	end ()
	Returns a read/write iterator that points one past the last element in the Matrix4d. Iteration is done in ordinary element order. More...
const_iterator	end () const
	Returns a read-only (constant) iterator that points one past the last element in the Matrix4d. Iteration is done in ordinary element order. More...
reverse_iterator	rbegin ()
	Returns a read/write reverse iterator that points to the last element in the Matrix4d. Iteration is done in reverse element order. More...
const_reverse_iterator	rbegin () const
	Returns a read-only (constant) reverse iterator that points to the last element in the Matrix4d. Iteration is done in reverse element order. More...
reverse_iterator	rend ()
	Returns a read/write reverse iterator that points to one before the first element in the Matrix4d. Iteration is done in reverse element order. More...
const_reverse_iterator	rend () const
	Returns a read-only (constant) reverse iterator that points to one before the first element in the Matrix4d. Iteration is done in reverse element order. More...
One dimensional slab iterators
slab_iterator	slab_begin (const size_type slice, const size_type row, const size_type col)
	Returns a read/write iterator that points to the first element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order (increasing slab number). More...
const_slab_iterator	slab_begin (const size_type slice, const size_type row, const size_type col) const
	Returns a read-only (constant) iterator that points to the first element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order (increasing slab number). More...
slab_iterator	slab_end (const size_type slice, const size_type row, const size_type col)
	Returns a read/write iterator that points to the one past the end element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order (increasing slab number). More...
const_slab_iterator	slab_end (const size_type slice, const size_type row, const size_type col) const
	Returns a read-only (constant) iterator that points to the one past the end element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order (increasing slab number). More...
reverse_slab_iterator	slab_rbegin (const size_type slice, const size_type row, const size_type col)
	Returns a read/write iterator that points to the last element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order (decreasing slab number). More...
const_reverse_slab_iterator	slab_rbegin (const size_type slice, const size_type row, const size_type col) const
	Returns a read-only (constant) iterator that points to the last element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order (decreasing slab number). More...
reverse_slab_iterator	slab_rend (const size_type slice, const size_type row, const size_type col)
	Returns a read/write iterator that points to the one before the first element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order (decreasing slab number). More...
const_reverse_slab_iterator	slab_rend (const size_type slice, const size_type row, const size_type col) const
	Returns a read (constant) iterator that points to the one before the first element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order (decreasing slab number). More...
One dimensional slice iterators
slice_iterator	slice_begin (const size_type slab, const size_type row, const size_type col)
	Returns a read/write iterator that points to the first element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order (increasing slice number). More...
const_slice_iterator	slice_begin (const size_type slab, const size_type row, const size_type col) const
	Returns a read-only (constant) iterator that points to the first element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order (increasing slice number). More...
slice_iterator	slice_end (const size_type slab, const size_type row, const size_type col)
	Returns a read/write iterator that points to the one past the end element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order (increasing slice number). More...
const_slice_iterator	slice_end (const size_type slab, const size_type row, const size_type col) const
	Returns a read-only (constant) iterator that points to the one past the end element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order (increasing slice number). More...
reverse_slice_iterator	slice_rbegin (const size_type slab, const size_type row, const size_type col)
	Returns a read/write iterator that points to the last element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order (decreasing slice number). More...
const_reverse_slice_iterator	slice_rbegin (const size_type slab, const size_type row, const size_type col) const
	Returns a read-only (constant) iterator that points to the last element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order (decreasing slice number). More...
reverse_slice_iterator	slice_rend (const size_type slab, const size_type row, const size_type col)
	Returns a read/write iterator that points to the one before the first element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order (decreasing slice number). More...
const_reverse_slice_iterator	slice_rend (const size_type slab, const size_type row, const size_type col) const
	Returns a read (constant) iterator that points to the one before the first element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order (decreasing slice number). More...
One dimensional row iterators
row_iterator	row_begin (const size_type slab, const size_type slice, const size_type row)
	Returns a read/write iterator that points to the first element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in ordinary element order. More...
const_row_iterator	row_begin (const size_type slab, const size_type slice, const size_type row) const
	Returns a read_only iterator that points to the first element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in ordinary element order. More...
row_iterator	row_end (const size_type slab, const size_type slice, const size_type row)
	Returns a read/write iterator that points to the past-the-end element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in ordinary element order. More...
const_row_iterator	row_end (const size_type slab, const size_type slice, const size_type row) const
	Returns a read_only iterator that points to the past-the-end element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in ordinary element order. More...
reverse_row_iterator	row_rbegin (const size_type slab, const size_type slice, const size_type row)
	Returns a read/write reverse iterator that points to the last element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in reverse element order. More...
const_reverse_row_iterator	row_rbegin (const size_type slab, const size_type slice, const size_type row) const
	Returns a read_only reverse iterator that points to the last element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in reverse element order. More...
reverse_row_iterator	row_rend (const size_type slab, const size_type slice, const size_type row)
	Returns a read/write reverse iterator that points to the first element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in reverse element order. More...
const_reverse_row_iterator	row_rend (const size_type slab, const size_type slice, const size_type row) const
	Returns a read_only reverse iterator that points to the first element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in reverse element order. More...
One dimensional col iterators
col_iterator	col_begin (const size_type slab, const size_type slice, const size_type col)
	Returns a read/write iterator that points to the first element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns. More...
const_col_iterator	col_begin (const size_type slab, const size_type slice, const size_type col) const
	Returns a read_only iterator that points to the first element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns. More...
col_iterator	col_end (const size_type slab, const size_type slice, const size_type col)
	Returns a read/write iterator that points to the past-the-end element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns. More...
const_col_iterator	col_end (const size_type slab, const size_type slice, const size_type col) const
	Returns a read_only iterator that points to the past-the-end element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns. More...
reverse_col_iterator	col_rbegin (const size_type slab, const size_type slice, const size_type col)
	Returns a read/write reverse iterator that points to the last element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns. More...
const_reverse_col_iterator	col_rbegin (const size_type slab, const size_type slice, const size_type col) const
	Returns a read_only reverse iterator that points to the last element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns. More...
reverse_col_iterator	col_rend (const size_type slab, const size_type slice, const size_type col)
	Returns a read/write reverse iterator that points to the first element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns. More...
const_reverse_col_iterator	col_rend (const size_type slab, const size_type slice, const size_type col) const
	Returns a read_only reverse iterator that points to the first element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns. More...
One dimensional slab range iterators
slab_range_iterator	slab_begin (const size_type slice, const size_type row, const size_type col, const slip::Range< int > &range)
	Returns a read/write iterator that points to the first element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
slab_range_iterator	slab_end (const size_type slice, const size_type row, const size_type col, const slip::Range< int > &range)
	Returns a read/write iterator that points one past the end element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
const_slab_range_iterator	slab_begin (const size_type slice, const size_type row, const size_type col, const slip::Range< int > &range) const
	Returns a read only (constant) iterator that points to the first element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
const_slab_range_iterator	slab_end (const size_type slice, const size_type row, const size_type col, const slip::Range< int > &range) const
	Returns a read_only iterator that points one past the last element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
reverse_slab_range_iterator	slab_rbegin (const size_type slice, const size_type row, const size_type col, const slip::Range< int > &range)
	Returns a read/write iterator that points to the last element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in the reverse element order according to the Range. More...
reverse_slab_range_iterator	slab_rend (const size_type slice, const size_type row, const size_type col, const slip::Range< int > &range)
	Returns a read/write iterator that points to the first element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order according to the Range. More...
const_reverse_slab_range_iterator	slab_rbegin (const size_type slice, const size_type row, const size_type col, const slip::Range< int > &range) const
	Returns a read only (constant) iterator that points to the last element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order according to the Range. More...
const_reverse_slab_range_iterator	slab_rend (const size_type slice, const size_type row, const size_type col, const slip::Range< int > &range) const
	Returns a read_only iterator that points one past the lastto the first element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order according to the Range. More...
One dimensional slice range iterators
slice_range_iterator	slice_begin (const size_type slab, const size_type row, const size_type col, const slip::Range< int > &range)
	Returns a read/write iterator that points to the first element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
slice_range_iterator	slice_end (const size_type slab, const size_type row, const size_type col, const slip::Range< int > &range)
	Returns a read/write iterator that points one past the end element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
const_slice_range_iterator	slice_begin (const size_type slab, const size_type row, const size_type col, const slip::Range< int > &range) const
	Returns a read only (constant) iterator that points to the first element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
const_slice_range_iterator	slice_end (const size_type slab, const size_type row, const size_type col, const slip::Range< int > &range) const
	Returns a read_only iterator that points one past the last element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
reverse_slice_range_iterator	slice_rbegin (const size_type slab, const size_type row, const size_type col, const slip::Range< int > &range)
	Returns a read/write iterator that points to the last element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in the reverse element order according to the Range. More...
reverse_slice_range_iterator	slice_rend (const size_type slab, const size_type row, const size_type col, const slip::Range< int > &range)
	Returns a read/write iterator that points to the first element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order according to the Range. More...
const_reverse_slice_range_iterator	slice_rbegin (const size_type slab, const size_type row, const size_type col, const slip::Range< int > &range) const
	Returns a read only (constant) iterator that points to the last element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order according to the Range. More...
const_reverse_slice_range_iterator	slice_rend (const size_type slab, const size_type row, const size_type col, const slip::Range< int > &range) const
	Returns a read_only iterator that points one past the lastto the first element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order according to the Range. More...
One dimensional row range iterators
row_range_iterator	row_begin (const size_type slab, const size_type slice, const size_type row, const slip::Range< int > &range)
	Returns a read/write iterator that points to the first element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
row_range_iterator	row_end (const size_type slab, const size_type slice, const size_type row, const slip::Range< int > &range)
	Returns a read/write iterator that points one past the end element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
const_row_range_iterator	row_begin (const size_type slab, const size_type slice, const size_type row, const slip::Range< int > &range) const
	Returns a read-only iterator that points to the first element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
const_row_range_iterator	row_end (const size_type slab, const size_type slice, const size_type row, const slip::Range< int > &range) const
	Returns a read_only iterator that points one past the last element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
reverse_row_range_iterator	row_rbegin (const size_type slab, const size_type slice, const size_type row, const slip::Range< int > &range)
	Returns a read-write iterator that points to the last element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range. More...
reverse_row_range_iterator	row_rend (const size_type slab, const size_type slice, const size_type row, const slip::Range< int > &range)
	Returns a read-write iterator that points one before the first element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range. More...
const_reverse_row_range_iterator	row_rbegin (const size_type slab, const size_type slice, const size_type row, const slip::Range< int > &range) const
	Returns a read-only iterator that points to the last element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range. More...
const_reverse_row_range_iterator	row_rend (const size_type slab, const size_type slice, const size_type row, const slip::Range< int > &range) const
	Returns a read-only iterator that points one before the first element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range. More...
One dimensional col range iterators
col_range_iterator	col_begin (const size_type slab, const size_type slice, const size_type col, const slip::Range< int > &range)
	Returns a read-write iterator that points to the first element of the Range range of the col col in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
col_range_iterator	col_end (const size_type slab, const size_type slice, const size_type col, const slip::Range< int > &range)
	Returns a read-write iterator that points to the past the end element of the Range range of the col col in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
const_col_range_iterator	col_begin (const size_type slab, const size_type slice, const size_type col, const slip::Range< int > &range) const
	Returns a read-only iterator that points to the first element of the Range range of the col col in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range. More...
const_col_range_iterator	col_end (const size_type slab, const size_type slice, const size_type col, const slip::Range< int > &range) const
	Returns a read-only iterator that points to the past the end element of the Range range of the col col in the slab slab and the slice slice in the Matrix4d. More...
reverse_col_range_iterator	col_rbegin (const size_type slab, const size_type slice, const size_type col, const slip::Range< int > &range)
	Returns a read-write iterator that points to the last element of the Range range of the col of a slice col in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range. More...
reverse_col_range_iterator	col_rend (const size_type slab, const size_type slice, const size_type col, const slip::Range< int > &range)
	Returns a read-write iterator that points to one before the first element of the Range range of the col of a slice col in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range. More...
const_reverse_col_range_iterator	col_rbegin (const size_type slab, const size_type slice, const size_type col, const slip::Range< int > &range) const
	Returns a read_only iterator that points to the last element of the Range & range of the col of a slice col in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range. More...
const_reverse_col_range_iterator	col_rend (const size_type slab, const size_type slice, const size_type col, const slip::Range< int > &range) const
	Returns a read-only iterator that points to the first element of the Range range of the col of a slice col in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range. More...
four dimensional iterators : Global iterators
iterator4d	first_front_upper_left ()
	Returns a read/write iterator4d that points to the first element of the Matrix4d. It points to the first front upper left element of the Matrix4d. More...
iterator4d	last_back_bottom_right ()
	Returns a read/write iterator4d that points to the past the end element of the Matrix4d. It points to past the end element of the last back bottom right element of the Matrix4d. More...
const_iterator4d	first_front_upper_left () const
	Returns a read-only iterator4d that points to the first element of the Matrix4d. It points to the fist front upper left element of the Matrix4d. More...
const_iterator4d	last_back_bottom_right () const
	Returns a read-only iterator4d that points to the past the end element of the Matrix4d. It points to past the end element of the last back bottom right element of the Matrix4d. More...
reverse_iterator4d	rfirst_front_upper_left ()
	Returns a read/write reverse iterator4d. It points to the last back bottom right element of the Matrix4d. Iteration is done within the Matrix4d in the reverse order. More...
reverse_iterator4d	rlast_back_bottom_right ()
	Returns a read/write reverse iterator4d. It points to past the first front upper left element of the Matrix4d. Iteration is done in the reverse order. More...
const_reverse_iterator4d	rfirst_front_upper_left () const
	Returns a read only reverse iterator4d that points. It points to the last back bottom right element of the Matrix4d. Iteration is done within the Matrix4d in the reverse order. More...
const_reverse_iterator4d	rlast_back_bottom_right () const
	Returns a read only reverse iterator4d. It points to past the first front upper left element of the Matrix4d. Iteration is done in the reverse order. More...
four dimensional iterators : Box iterators
iterator4d	first_front_upper_left (const Box4d< int > &box)
	Returns a read/write iterator4d that points to the first element of the Matrix4d. It points to the first front upper left element of the Box4d associated to the Matrix4d. More...
iterator4d	last_back_bottom_right (const Box4d< int > &box)
	Returns a read/write iterator4d that points to the past the end element of the Matrix4d. It points to past the end element of the last back bottom right element of the Box4d associated to the Matrix4d. More...
const_iterator4d	first_front_upper_left (const Box4d< int > &box) const
	Returns a read only iterator4d that points to the first element of the Matrix4d. It points to the front upper left element of the Box4d associated to the Matrix4d. More...
const_iterator4d	last_back_bottom_right (const Box4d< int > &box) const
	Returns a read only iterator4d that points to the past the end element of the Matrix4d. It points to past the end element of the back bottom right element of the Box4d associated to the Matrix4d. More...
reverse_iterator4d	rfirst_front_upper_left (const Box4d< int > &box)
	Returns a read/write reverse iterator4d. It points to the back bottom right element of the Box4d associated to the Matrix4d. Iteration is done in the reverse order. More...
reverse_iterator4d	rlast_back_bottom_right (const Box4d< int > &box)
	Returns a read/write reverse iterator4d. It points to one before the front upper left element of the Box4d box associated to the Matrix4d. More...
const_reverse_iterator4d	rfirst_front_upper_left (const Box4d< int > &box) const
	Returns a read only reverse iterator4d. It points to the back bottom right element of the Box4d box associated to the Matrix4d. Iteration is done in the reverse order. More...
const_reverse_iterator4d	rlast_back_bottom_right (const Box4d< int > &box) const
	Returns a read-only reverse iterator4d. It points to one before the front element of the bottom right element of the Box4d box associated to the Matrix4d. More...
four dimensional iterators : Range iterators
iterator4d_range	first_front_upper_left (const range &slab_range, const range &slice_range, const range &row_range, const range &col_range)
	Returns a read/write iterator4d_range that points to the first front upper left element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. More...
iterator4d_range	last_back_bottom_right (const range &slab_range, const range &slice_range, const range &row_range, const range &col_range)
	Returns a read/write iterator4d_range that points to the past the end last back bottom right element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. More...
const_iterator4d_range	first_front_upper_left (const range &slab_range, const range &slice_range, const range &row_range, const range &col_range) const
	Returns a read-only iterator4d_range that points to the to the first front upper left element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. More...
const_iterator4d_range	last_back_bottom_right (const range &slab_range, const range &slice_range, const range &row_range, const range &col_range) const
	Returns a read-only iterator4d_range that points to the past the end last back bottom right element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. More...
reverse_iterator4d_range	rfirst_front_upper_left (const range &slab_range, const range &slice_range, const range &row_range, const range &col_range)
	Returns a read/write reverse_iterator4d_range that points to the past the last back bottom right element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. Iteration is done in the reverse order. More...
reverse_iterator4d_range	rlast_back_bottom_right (const range &slab_range, const range &slice_range, const range &row_range, const range &col_range)
	Returns a read/write reverse_iterator4d_range that points to one before the first front upper left element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. Iteration is done in the reverse order. More...
const_reverse_iterator4d_range	rfirst_front_upper_left (const range &slab_range, const range &slice_range, const range &row_range, const range &col_range) const
	Returns a read-only reverse_iterator4d_range that points to the past the last back bottom right element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. Iteration is done in the reverse order. More...
const_reverse_iterator4d_range	rlast_back_bottom_right (const range &slab_range, const range &slice_range, const range &row_range, const range &col_range) const
	Returns a read-only reverse_iterator4d_range that points to one before the first front upper left element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. Iteration is done in the reverse order. More...
Assignment operators and methods
self &	operator= (const Matrix4d< T > &rhs)
	Assign a Matrix4d. More...
self &	operator= (const T &value)
	Assign all the elments of the Matrix4d by value. More...
void	fill (const T &value)
	Fills the container range [begin(),begin()+size()) with copies of value. More...
void	fill (const T *value)
	Fills the container range [begin(),begin()+size()) with a copy of the value array. More...
template<typename InputIterator >
void	fill (InputIterator first, InputIterator last)
	Fills the container range [begin(),begin()+size()) with a copy of the range [first,last) More...
Element access operators
T ***	operator[] (const size_type l)
const T **const *	operator[] (const size_type l) const
reference	operator() (const size_type l, const size_type k, const size_type i, const size_type j)
	Subscript access to the data contained in the Matrix4d. More...
const_reference	operator() (const size_type l, const size_type k, const size_type i, const size_type j) const
	Subscript access to the data contained in the Matrix4d. More...
Arithmetic operators
self &	operator+= (const T &val)
	Add val to each element of the Matrix. More...
self &	operator-= (const T &val)
self &	operator*= (const T &val)
self &	operator/= (const T &val)
self	operator- () const
self &	operator+= (const self &rhs)
self &	operator-= (const self &rhs)
self &	operator*= (const self &rhs)
self &	operator/= (const self &rhs)
Mathematic operators
T &	min () const
	Returns the min element of the Matrix according to the operator <. More...
T &	max () const
	Returns the max element of the Matrix according to the operator <. More...
T	sum () const
	Returns the sum of the elements of the Matrix. More...
Matrix4d< T > &	apply (T(*fun)(T))
	Applys the one-parameter C-function fun to each element of the Matrix4d. More...
Matrix4d< T > &	apply (T(*fun)(const T &))
	Applys the one-parameter C-function fun to each element of the Matrix4d. More...

Static Public Attributes
static const std::size_t	DIM = 4

Friends
class	boost::serialization::access
i/o operators
std::ostream &	operator<< (std::ostream &out, const self &a)
	Write the Matrix4d to the ouput stream. More...
Comparison operators
bool	operator== (const Matrix4d< T > &x, const Matrix4d< T > &y)
	Matrix4d equality comparison More...
bool	operator!= (const Matrix4d< T > &x, const Matrix4d< T > &y)
	Matrix4d inequality comparison More...
bool	operator< (const Matrix4d< T > &x, const Matrix4d< T > &y)
	Less than comparison operator (Matrix4d ordering relation) More...
bool	operator> (const Matrix4d< T > &x, const Matrix4d< T > &y)
	More than comparison operator. More...
bool	operator<= (const Matrix4d< T > &x, const Matrix4d< T > &y)
	Less than equal comparison operator. More...
bool	operator>= (const Matrix4d< T > &x, const Matrix4d< T > &y)
	More than equal comparison operator. More...

Related Functions
(Note that these are not member functions.)
template<typename T >
T &	min (const Matrix4d< T > &M1)
	Returns the min element of a Matrix4d. More...
template<typename T >
T &	max (const Matrix4d< T > &M1)
	Returns the max element of a Matrix4d. More...
template<typename T >
Matrix4d< T >	abs (const Matrix4d< T > &V)
	Returns the abs value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	sqrt (const Matrix4d< T > &V)
	Returns the sqrt value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	cos (const Matrix4d< T > &V)
	Returns the cos value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	acos (const Matrix4d< T > &V)
	Returns the acos value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	sin (const Matrix4d< T > &V)
	Returns the sin value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	asin (const Matrix4d< T > &V)
	Returns the sin value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	tan (const Matrix4d< T > &V)
	Returns the tan value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	atan (const Matrix4d< T > &V)
	Returns the atan value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	exp (const Matrix4d< T > &V)
	Returns the exp value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	log (const Matrix4d< T > &V)
	Returns the log value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	cosh (const Matrix4d< T > &V)
	Returns the cosh value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	sinh (const Matrix4d< T > &V)
	Returns the sinh value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	tanh (const Matrix4d< T > &V)
	Returns the tanh value of each element of the Matrix4d. More...
template<typename T >
Matrix4d< T >	log10 (const Matrix4d< T > &V)
	Returns the log10 value of each element of the Matrix4d. More...

Detailed Description

template<typename Block>
class slip::Matrix4d< Block >

Numerical matrix4d class. This container statisfies the RandomAccessContainer concepts of the STL except the simple bracket which is replaced by a double bracket. It extends the interface of Array4d adding arithmetical: +=, -=, *=, /=,+,-,/,*... and mathematical operators : min, max, abs, sqrt, cos, acos, sin, asin, tan, atan, exp, log, cosh, sinh, tanh, log10, sum, apply...

Version

Fluex 1.0

Date

2013/07/11

Version

0.0.2

Date

2014/04/05

Since

1.4.0

Author

Denis Arrivault <denis.arrivault_AT_inria.fr>

Parameters

T	Type of object in the Matrix4d

Axis conventions:

axis and notation conventions

Definition at line 124 of file GenericMultiComponent4d.hpp.

Member Typedef Documentation

template<typename Block>

typedef slip::stride_iterator<pointer> slip::Matrix4d< Block >::col_iterator

Definition at line 196 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<col_iterator> slip::Matrix4d< Block >::col_range_iterator

Definition at line 205 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<const_pointer> slip::Matrix4d< Block >::const_col_iterator

Definition at line 197 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<const_col_iterator> slip::Matrix4d< Block >::const_col_range_iterator

Definition at line 206 of file Matrix4d.hpp.

template<typename Block>

typedef const_iterator4d slip::Matrix4d< Block >::const_default_iterator

Definition at line 239 of file Matrix4d.hpp.

template<typename Block>

typedef const_pointer slip::Matrix4d< Block >::const_iterator

Definition at line 184 of file Matrix4d.hpp.

template<typename Block>

typedef slip::Array4d<T>::const_iterator4d slip::Matrix4d< Block >::const_iterator4d

Definition at line 228 of file Matrix4d.hpp.

template<typename Block>

typedef slip::Array4d<T>::const_iterator4d_range slip::Matrix4d< Block >::const_iterator4d_range

Definition at line 230 of file Matrix4d.hpp.

template<typename Block>

typedef value_type const* slip::Matrix4d< Block >::const_pointer

Definition at line 176 of file Matrix4d.hpp.

template<typename Block>

typedef value_type const& slip::Matrix4d< Block >::const_reference

Definition at line 178 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_col_iterator> slip::Matrix4d< Block >::const_reverse_col_iterator

Definition at line 215 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_col_range_iterator> slip::Matrix4d< Block >::const_reverse_col_range_iterator

Definition at line 224 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_iterator> slip::Matrix4d< Block >::const_reverse_iterator

Definition at line 187 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_iterator4d> slip::Matrix4d< Block >::const_reverse_iterator4d

Definition at line 233 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_iterator4d_range> slip::Matrix4d< Block >::const_reverse_iterator4d_range

Definition at line 235 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_iterator> slip::Matrix4d< Block >::const_reverse_row_iterator

Definition at line 213 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_row_range_iterator> slip::Matrix4d< Block >::const_reverse_row_range_iterator

Definition at line 222 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_slab_iterator> slip::Matrix4d< Block >::const_reverse_slab_iterator

Definition at line 209 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_slab_range_iterator> slip::Matrix4d< Block >::const_reverse_slab_range_iterator

Definition at line 218 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_slice_iterator> slip::Matrix4d< Block >::const_reverse_slice_iterator

Definition at line 211 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<const_slice_range_iterator> slip::Matrix4d< Block >::const_reverse_slice_range_iterator

Definition at line 220 of file Matrix4d.hpp.

template<typename Block>

typedef const_pointer slip::Matrix4d< Block >::const_row_iterator

Definition at line 195 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<const_pointer> slip::Matrix4d< Block >::const_row_range_iterator

Definition at line 204 of file Matrix4d.hpp.

template<typename Block>

typedef const Matrix4d<T> slip::Matrix4d< Block >::const_self

Definition at line 173 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<const_pointer> slip::Matrix4d< Block >::const_slab_iterator

Definition at line 191 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<const_slab_iterator> slip::Matrix4d< Block >::const_slab_range_iterator

Definition at line 200 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<const_pointer> slip::Matrix4d< Block >::const_slice_iterator

Definition at line 193 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<const_slice_iterator> slip::Matrix4d< Block >::const_slice_range_iterator

Definition at line 202 of file Matrix4d.hpp.

template<typename Block>

typedef iterator4d slip::Matrix4d< Block >::default_iterator

Definition at line 238 of file Matrix4d.hpp.

template<typename Block>

typedef ptrdiff_t slip::Matrix4d< Block >::difference_type

Definition at line 180 of file Matrix4d.hpp.

template<typename Block>

typedef pointer slip::Matrix4d< Block >::iterator

Definition at line 183 of file Matrix4d.hpp.

template<typename Block>

typedef slip::Array4d<T>::iterator4d slip::Matrix4d< Block >::iterator4d

Definition at line 227 of file Matrix4d.hpp.

template<typename Block>

typedef slip::Array4d<T>::iterator4d_range slip::Matrix4d< Block >::iterator4d_range

Definition at line 229 of file Matrix4d.hpp.

template<typename Block>

typedef value_type* slip::Matrix4d< Block >::pointer

Definition at line 175 of file Matrix4d.hpp.

template<typename Block>

typedef slip::Range<int> slip::Matrix4d< Block >::range

Definition at line 242 of file Matrix4d.hpp.

template<typename Block>

typedef value_type& slip::Matrix4d< Block >::reference

Definition at line 177 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<col_iterator> slip::Matrix4d< Block >::reverse_col_iterator

Definition at line 214 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<col_range_iterator> slip::Matrix4d< Block >::reverse_col_range_iterator

Definition at line 223 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<iterator> slip::Matrix4d< Block >::reverse_iterator

Definition at line 186 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<iterator4d> slip::Matrix4d< Block >::reverse_iterator4d

Definition at line 232 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<iterator4d_range> slip::Matrix4d< Block >::reverse_iterator4d_range

Definition at line 234 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<iterator> slip::Matrix4d< Block >::reverse_row_iterator

Definition at line 212 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<row_range_iterator> slip::Matrix4d< Block >::reverse_row_range_iterator

Definition at line 221 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<slab_iterator> slip::Matrix4d< Block >::reverse_slab_iterator

Definition at line 208 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<slab_range_iterator> slip::Matrix4d< Block >::reverse_slab_range_iterator

Definition at line 217 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<slice_iterator> slip::Matrix4d< Block >::reverse_slice_iterator

Definition at line 210 of file Matrix4d.hpp.

template<typename Block>

typedef std::reverse_iterator<slice_range_iterator> slip::Matrix4d< Block >::reverse_slice_range_iterator

Definition at line 219 of file Matrix4d.hpp.

template<typename Block>

typedef pointer slip::Matrix4d< Block >::row_iterator

Definition at line 194 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<pointer> slip::Matrix4d< Block >::row_range_iterator

Definition at line 203 of file Matrix4d.hpp.

template<typename Block>

typedef Matrix4d<T> slip::Matrix4d< Block >::self

Definition at line 172 of file Matrix4d.hpp.

template<typename Block>

typedef std::size_t slip::Matrix4d< Block >::size_type

Definition at line 181 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<pointer> slip::Matrix4d< Block >::slab_iterator

Definition at line 190 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<slab_iterator> slip::Matrix4d< Block >::slab_range_iterator

Definition at line 199 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<pointer> slip::Matrix4d< Block >::slice_iterator

Definition at line 192 of file Matrix4d.hpp.

template<typename Block>

typedef slip::stride_iterator<slice_iterator> slip::Matrix4d< Block >::slice_range_iterator

Definition at line 201 of file Matrix4d.hpp.

template<typename Block>

typedef T slip::Matrix4d< Block >::value_type

Definition at line 171 of file Matrix4d.hpp.

Constructor & Destructor Documentation

template<typename T >

slip::Matrix4d< T >::Matrix4d ( )

inline

Constructs a Matrix4d.

Definition at line 3569 of file Matrix4d.hpp.

template<typename Block>

slip::Matrix4d< Block >::Matrix4d	(	const std::size_t	d1,
		const std::size_t	d2,
		const std::size_t	d3,
		const std::size_t	d4
	)

Constructs a Matrix4d.

Parameters

d1	first dimension of the Matrix4d
d2	second dimension of the Matrix4d
d3	third dimension of the Matrix4d
d4	fourth dimension of the Matrix4d

The Matrix4d is initialized by the default value of T.

template<typename Block>

slip::Matrix4d< Block >::Matrix4d	(	const std::size_t	d1,
		const std::size_t	d2,
		const std::size_t	d3,
		const std::size_t	d4,
		const T &	val
	)

Constructs a Matrix4d initialized by the scalar value val.

Parameters

d1	first dimension of the Matrix4d
d2	second dimension of the Matrix4d
d3	third dimension of the Matrix4d
d4	fourth dimension of the Matrix4d
val	initialization value of the elements

template<typename Block>

slip::Matrix4d< Block >::Matrix4d	(	const std::size_t	d1,
		const std::size_t	d2,
		const std::size_t	d3,
		const std::size_t	d4,
		const T *	val
	)

Constructs a Matrix4d initialized by an array val.

Parameters

d1	first dimension of the Matrix4d
d2	second dimension of the Matrix4d
d3	third dimension of the Matrix4d
d4	fourth dimension of the Matrix4d
val	initialization array value of the elements

template<typename Block>

template<typename InputIterator >

slip::Matrix4d< Block >::Matrix4d ( const size_type  d1, const size_type  d2, const size_type  d3, const std::size_t  d4, InputIterator  first, InputIterator  last  )

inline

Contructs a Matrix4d from a range.

Parameters

d1	first dimension of the Matrix4d
d2	second dimension of the Matrix4d
d3	third dimension of the Matrix4d
d4	fourth dimension of the Matrix4d
first	An input iterator.
last	An input iterator.

Create a Matrix4d consisting of copies of the elements from [first,last).

Definition at line 314 of file Matrix4d.hpp.

template<typename T >

slip::Matrix4d< T >::Matrix4d ( const Matrix4d< T > &  rhs )

inline

Constructs a copy of the Matrix4d rhs.

Definition at line 3605 of file Matrix4d.hpp.

template<typename T >

slip::Matrix4d< T >::~Matrix4d ( )

inline

Destructor of the Matrix4d.

Definition at line 3611 of file Matrix4d.hpp.

template<typename Block>

template<typename T >

slip::Matrix4d< Block >::Matrix4d ( const typename Matrix4d< T >::size_type  d1, const typename Matrix4d< T >::size_type  d2, const typename Matrix4d< T >::size_type  d3, const typename Matrix4d< T >::size_type  d4  )

inline

Definition at line 3575 of file Matrix4d.hpp.

template<typename Block>

template<typename T >

slip::Matrix4d< Block >::Matrix4d ( const typename Matrix4d< T >::size_type  d1, const typename Matrix4d< T >::size_type  d2, const typename Matrix4d< T >::size_type  d3, const typename Matrix4d< T >::size_type  d4, const T &  val  )

inline

Definition at line 3584 of file Matrix4d.hpp.

template<typename Block>

template<typename T >

slip::Matrix4d< Block >::Matrix4d ( const typename Matrix4d< T >::size_type  d1, const typename Matrix4d< T >::size_type  d2, const typename Matrix4d< T >::size_type  d3, const typename Matrix4d< T >::size_type  d4, const T *  val  )

inline

Definition at line 3594 of file Matrix4d.hpp.

Member Function Documentation

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::apply ( T(*)(T)  fun )

inline

Applys the one-parameter C-function fun to each element of the Matrix4d.

Parameters

fun	The one-parameter C function

Returns

the resulting Matrix4d

Definition at line 4913 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::apply ( T(*)(const T &)  fun )

inline

Applys the one-parameter C-function fun to each element of the Matrix4d.

Parameters

fun	The one-const-parameter C function

Returns

the resulting Matrix4d

Definition at line 4921 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_iterator slip::Matrix4d< T >::begin ( ) const

inline

Returns a read-only (constant) iterator that points to the first element in the Matrix4d. Iteration is done in ordinary element order.

Returns

const begin iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

 slip::Matrix4d<double> const A1(10,9,5,2);
 slip::Matrix4d<double> const A2(10,9,5,2);
 slip::Matrix4d<double> S(10,9,5,2);
//copy the sum of A1 and A2 in S
std::transform(A1.begin(),A1.end(),
               A2.begin(),S.begin(),
               std::plus<double>());

Definition at line 3668 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::iterator slip::Matrix4d< T >::begin ( )

inline

Returns a read/write iterator that points to the first element in the Matrix4d. Iteration is done in ordinary element order.

Returns

begin iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

 slip::Matrix4d<double> A1(10,9,5,2);
 slip::Matrix4d<double> A2(10,9,5,2);
 slip::Matrix4d<double> S(10,9,5,2);
//copy the sum of A1 and A2 in S
std::transform(A1.begin(),A1.end(),
               A2.begin(),S.begin(),
               std::plus<double>());

Definition at line 3684 of file Matrix4d.hpp.

template<typename Block>

col_iterator slip::Matrix4d< Block >::col_begin	(	const size_type	slab,
		const size_type	slice,
		const size_type	col
	)

Returns a read/write iterator that points to the first element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns.

Parameters

slab	The index of the slab.
slice	The index of the slice.
col	The index of the column

Returns

begin col_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

const_col_iterator slip::Matrix4d< Block >::col_begin	(	const size_type	slab,
		const size_type	slice,
		const size_type	col
	)		const

Returns a read_only iterator that points to the first element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns.

Parameters

slab	The index of the slab.
slice	The index of the slice.
col	The index of the column

Returns

begin const_col_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

col_range_iterator slip::Matrix4d< Block >::col_begin	(	const size_type	slab,
		const size_type	slice,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read-write iterator that points to the first element of the Range range of the col col in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
col	The index of the column to iterate.
range	Range of the column to iterate

Returns

begin col_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

col must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(4,8,5,8);
 slip::Range<int> range(0,A1.dim4()-1,2);
//copy the the elements of the column 0 in the slab 0 and the slice 0 of A1 iterated according to the
//range in the column 1 in the slab 1 and the slice 1 of A2
std::copy(A1.col_begin(0,0,0,range),A1.col_end(0,0,0,range),A2.col_begin(1,1,1));

template<typename Block>

const_col_range_iterator slip::Matrix4d< Block >::col_begin	(	const size_type	slab,
		const size_type	slice,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read-only iterator that points to the first element of the Range range of the col col in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
col	The index of the column to iterate.
range	Range of the column to iterate.

Returns

begin const_col_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

col must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(4,8,5,8);
 slip::Range<int> range(0,A1.dim4()-1,2);
//copy the the elements of the column 0 in the slab 0 and the slice 0 of A1 iterated according to the
//range in the column 1 in the slab 1 and the slice 1 of A2
std::copy(A1.col_begin(0,0,0,range),A1.col_end(0,0,0,range),A2.col_begin(1,1,1));

template<typename Block>

col_iterator slip::Matrix4d< Block >::col_end	(	const size_type	slab,
		const size_type	slice,
		const size_type	col
	)

Returns a read/write iterator that points to the past-the-end element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns.

Parameters

slab	The index of the slab.
slice	The index of the slice.
col	The index of the column

Returns

end col_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

const_col_iterator slip::Matrix4d< Block >::col_end	(	const size_type	slab,
		const size_type	slice,
		const size_type	col
	)		const

Returns a read_only iterator that points to the past-the-end element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns.

Parameters

slab	The index of the slab.
slice	The index of the slice.
col	The index of the column

Returns

end const_col_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

col_range_iterator slip::Matrix4d< Block >::col_end	(	const size_type	slab,
		const size_type	slice,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read-write iterator that points to the past the end element of the Range range of the col col in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
col	The index of the column to iterate.
range	Range of the column to iterate.

Returns

begin col_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

col must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(4,8,5,8);
 slip::Range<int> range(0,A1.dim4()-1,2);
//copy the the elements of the column 0 in the slab 0 and the slice 0 of A1 iterated according to the
//range in the column 1 in the slab 1 and the slice 1 of A2
std::copy(A1.col_begin(0,0,0,range),A1.col_end(0,0,0,range),A2.col_begin(1,1,1));

template<typename Block>

const_col_range_iterator slip::Matrix4d< Block >::col_end	(	const size_type	slab,
		const size_type	slice,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read-only iterator that points to the past the end element of the Range range of the col col in the slab slab and the slice slice in the Matrix4d.

Parameters

slab	slab coordinate of the line Iteration is done in ordinary element order according to the Range.
slice	The index of the slice.
col	The index of the column to iterate.
range	Range of the column to iterate

Returns

begin const_col_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

col must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(4,8,5,8);
 slip::Range<int> range(0,A1.dim4()-1,2);
//copy the the elements of the column 0 in the slab 0 and the slice 0 of A1 iterated according to the
//range in the column 1 in the slab 1 and the slice 1 of A2
std::copy(A1.col_begin(0,0,0,range),A1.col_end(0,0,0,range),A2.col_begin(1,1,1));

template<typename Block>

reverse_col_iterator slip::Matrix4d< Block >::col_rbegin	(	const size_type	slab,
		const size_type	slice,
		const size_type	col
	)

Returns a read/write reverse iterator that points to the last element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns.

Parameters

slab	The index of the slab.
slice	The index of the slice.
col	The index of the column

Returns

begin reverse_col_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

const_reverse_col_iterator slip::Matrix4d< Block >::col_rbegin	(	const size_type	slab,
		const size_type	slice,
		const size_type	col
	)		const

Returns a read_only reverse iterator that points to the last element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns.

Parameters

slab	The index of the slab.
slice	The index of the slice.
col	The index of the column

Returns

begin const_reverse_col_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

reverse_col_range_iterator slip::Matrix4d< Block >::col_rbegin	(	const size_type	slab,
		const size_type	slice,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read-write iterator that points to the last element of the Range range of the col of a slice col in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
col	The index of the column to iterate.
range	Range of the column to iterate.

Returns

begin reverse_col_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

col must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

slip::Matrix4d<double> A1(8,8,8,8);
slip::Matrix4d<double> A2(4,8,5,8);
slip::Range<int> range(0,A1.dim4()-1,2);
//copy the the elements of the column 0 in the slab 0 and the slice 0 of A1 iterated
//in reverse order according to the range in the column 1 in the slab 1 and the slice 1 of A2
std::copy(A1.col_rbegin(0,0,0,range),A1.col_rend(0,0,0,range),A2.col_begin(1,1,1));

template<typename Block>

const_reverse_col_range_iterator slip::Matrix4d< Block >::col_rbegin	(	const size_type	slab,
		const size_type	slice,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read_only iterator that points to the last element of the Range & range of the col of a slice col in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
col	The index of the column to iterate.
range	Range of the column to iterate.

Returns

begin const_reverse_col_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

col must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

slip::Matrix4d<double> A1(8,8,8,8);
slip::Matrix4d<double> A2(4,8,5,8);
slip::Range<int> range(0,A1.dim4()-1,2);
//copy the the elements of the column 0 in the slab 0 and the slice 0 of A1 iterated
//in reverse order according to the range in the column 1 in the slab 1 and the slice 1 of A2
std::copy(A1.col_rbegin(0,0,0,range),A1.col_rend(0,0,0,range),A2.col_begin(1,1,1));

template<typename Block>

reverse_col_iterator slip::Matrix4d< Block >::col_rend	(	const size_type	slab,
		const size_type	slice,
		const size_type	col
	)

Returns a read/write reverse iterator that points to the first element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns.

Parameters

slab	The index of the slab.
slice	The index of the slice.
col	The index of the column

Returns

end reverse_col_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

const_reverse_col_iterator slip::Matrix4d< Block >::col_rend	(	const size_type	slab,
		const size_type	slice,
		const size_type	col
	)		const

Returns a read_only reverse iterator that points to the first element of the column column of a given slab slab and a given slice slice in the Matrix4d. Iteration is done modulo the number of columns.

Parameters

slab	The index of the slab.
slice	The index of the slice.
col	The index of the column

Returns

end const_reverse_col_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

reverse_col_range_iterator slip::Matrix4d< Block >::col_rend	(	const size_type	slab,
		const size_type	slice,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read-write iterator that points to one before the first element of the Range range of the col of a slice col in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
col	The index of the column to iterate.
range	Range of the column to iterate.

Returns

reverse_col_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

col must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

slip::Matrix4d<double> A1(8,8,8,8);
slip::Matrix4d<double> A2(4,8,5,8);
slip::Range<int> range(0,A1.dim4()-1,2);
//copy the the elements of the column 0 in the slab 0 and the slice 0 of A1 iterated
//in reverse order according to the range in the column 1 in the slab 1 and the slice 1 of A2
std::copy(A1.col_rbegin(0,0,0,range),A1.col_rend(0,0,0,range),A2.col_begin(1,1,1));

template<typename Block>

const_reverse_col_range_iterator slip::Matrix4d< Block >::col_rend	(	const size_type	slab,
		const size_type	slice,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read-only iterator that points to the first element of the Range range of the col of a slice col in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
col	The index of the column to iterate.
range	Range of the column to iterate.

Returns

const_reverse_col_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

col must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

slip::Matrix4d<double> A1(8,8,8,8);
slip::Matrix4d<double> A2(4,8,5,8);
slip::Range<int> range(0,A1.dim4()-1,2);
//copy the the elements of the column 0 in the slab 0 and the slice 0 of A1 iterated
//in reverse order according to the range in the column 1 in the slab 1 and the slice 1 of A2
std::copy(A1.col_rbegin(0,0,0,range),A1.col_rend(0,0,0,range),A2.col_begin(1,1,1));

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::cols ( ) const

inline

Returns the number of columns (fourth dimension size) in the Matrix4d.

Definition at line 4701 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::columns ( ) const

inline

Returns the number of columns (fourth dimension size) in the Matrix4d.

Definition at line 4706 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::dim1 ( ) const

inline

Returns the number of slabs (first dimension size) in the Matrix4d.

Definition at line 4666 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::dim2 ( ) const

inline

Returns the number of slices (second dimension size) in the Matrix4d.

Definition at line 4676 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::dim3 ( ) const

inline

Returns the number of rows (third dimension size) in the Matrix4d.

Definition at line 4686 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::dim4 ( ) const

inline

Returns the number of columns (fourth dimension size) in the Matrix4d.

Definition at line 4696 of file Matrix4d.hpp.

template<typename T >

bool slip::Matrix4d< T >::empty ( ) const

inline

Returns true if the Matrix4d is empty. (Thus size() == 0)

Definition at line 4721 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::iterator slip::Matrix4d< T >::end ( )

inline

Returns a read/write iterator that points one past the last element in the Matrix4d. Iteration is done in ordinary element order.

Returns

end iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

 slip::Matrix4d<double> A1(10,9,5,2);
 slip::Matrix4d<double> A2(10,9,5,2);
 slip::Matrix4d<double> S(10,9,5,2);
//copy the sum of A1 and A2 in S
std::transform(A1.begin(),A1.end(),
               A2.begin(),S.begin(),
               std::plus<double>());

Definition at line 3691 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_iterator slip::Matrix4d< T >::end ( ) const

inline

Returns a read-only (constant) iterator that points one past the last element in the Matrix4d. Iteration is done in ordinary element order.

Returns

const end iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

 slip::Matrix4d<double> A1(10,9,5,2);
 slip::Matrix4d<double> A2(10,9,5,2);
 slip::Matrix4d<double> S(10,9,5,2);
//copy the sum of A1 and A2 in S
std::transform(A1.begin(),A1.end(),
               A2.begin(),S.begin(),
               std::plus<double>());

Definition at line 3676 of file Matrix4d.hpp.

template<typename Block>

void slip::Matrix4d< Block >::fill ( const T &  value )

inline

Fills the container range [begin(),begin()+size()) with copies of value.

Parameters

value

A reference-to-const of arbitrary type.

Definition at line 2931 of file Matrix4d.hpp.

template<typename Block>

void slip::Matrix4d< Block >::fill ( const T *  value )

inline

Fills the container range [begin(),begin()+size()) with a copy of the value array.

Parameters

value

A pointer of arbitrary type.

Definition at line 2942 of file Matrix4d.hpp.

template<typename Block>

template<typename InputIterator >

void slip::Matrix4d< Block >::fill ( InputIterator  first, InputIterator  last  )

inline

Fills the container range [begin(),begin()+size()) with a copy of the range [first,last)

Parameters

first	An input iterator.
last	An input iterator.

Definition at line 2956 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::iterator4d slip::Matrix4d< T >::first_front_upper_left ( )

inline

Returns a read/write iterator4d that points to the first element of the Matrix4d. It points to the first front upper left element of the Matrix4d.

Returns

iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
//Print M
std::copy(M.first_front_upper_left(),M.last_back_bottom_right(),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4372 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_iterator4d slip::Matrix4d< T >::first_front_upper_left ( ) const

inline

Returns a read-only iterator4d that points to the first element of the Matrix4d. It points to the fist front upper left element of the Matrix4d.

Returns

const iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
//Print M
std::copy(M.first_front_upper_left(),M.last_back_bottom_right(),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4379 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::iterator4d slip::Matrix4d< T >::first_front_upper_left ( const Box4d< int > &  box )

inline

Returns a read/write iterator4d that points to the first element of the Matrix4d. It points to the first front upper left element of the Box4d associated to the Matrix4d.

Parameters

box	A Box4d defining the range of indices to iterate within the Matrix4d.

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Returns

iterator4d value

Precondition

The box indices must be inside the range of the Matrix4d ones.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Box4d<int> b(1,1,1,1,2,2,3,3);
//Print M values within the box
std::copy(M.first_front_upper_left(b),M.last_back_bottom_right(b),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4439 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_iterator4d slip::Matrix4d< T >::first_front_upper_left ( const Box4d< int > &  box ) const

inline

Returns a read only iterator4d that points to the first element of the Matrix4d. It points to the front upper left element of the Box4d associated to the Matrix4d.

Parameters

box	a Box4d defining the range of indices to iterate within the Matrix4d.

Returns

end const iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Precondition

The box indices must be inside the range of the Matrix4d ones.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Box4d<int> b(1,1,1,1,2,2,3,3);
//Print M values within the box
std::copy(M.first_front_upper_left(b),M.last_back_bottom_right(b),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4446 of file Matrix4d.hpp.

template<typename Block>

iterator4d_range slip::Matrix4d< Block >::first_front_upper_left	(	const range &	slab_range,
		const range &	slice_range,
		const range &	row_range,
		const range &	col_range
	)

Returns a read/write iterator4d_range that points to the first front upper left element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d.

Parameters

slab_range	The range of the slices.
slice_range	The range of the slices.
row_range	The range of the rows.
col_range	The range of the columns.

Precondition

slab_range, slice_range, row_range and col_range must be valid.

The ranges indices must be inside the ranges of the Matrix4d ones.

Returns

iterator4d_range value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Range<int> slar(0,2,2);
slip::Range<int> slir(0,2,2);
slip::Range<int> rr(0,3,2);
slip::Range<int> cr(0,4,2);
//Print M within a range
std::copy(M.first_front_upper_left(slar,slir,rr,cr),M.last_back_bottom_right(slar,slir,rr,cr),
          std::ostream_iterator<double>(std::cout," "));

template<typename Block>

const_iterator4d_range slip::Matrix4d< Block >::first_front_upper_left	(	const range &	slab_range,
		const range &	slice_range,
		const range &	row_range,
		const range &	col_range
	)		const

Returns a read-only iterator4d_range that points to the to the first front upper left element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d.

Parameters

slab_range	The range of the slices.
slice_range	The range of the slices.
row_range	The range of the rows.
col_range	The range of the columns.

Precondition

slab_range, slice_range, row_range and col_range must be valid.

The ranges indices must be inside the ranges of the Matrix4d ones.

Returns

const_iterator4d_range value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Range<int> slar(0,2,2);
slip::Range<int> slir(0,2,2);
slip::Range<int> rr(0,3,2);
slip::Range<int> cr(0,4,2);
//Print M within a range
std::copy(M.first_front_upper_left(slar,slir,rr,cr),M.last_back_bottom_right(slar,slir,rr,cr),
          std::ostream_iterator<double>(std::cout," "));

template<typename T >

Matrix4d< T >::iterator4d slip::Matrix4d< T >::last_back_bottom_right ( )

inline

Returns a read/write iterator4d that points to the past the end element of the Matrix4d. It points to past the end element of the last back bottom right element of the Matrix4d.

Returns

iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
//Print M
std::copy(M.first_front_upper_left(),M.last_back_bottom_right(),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4388 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_iterator4d slip::Matrix4d< T >::last_back_bottom_right ( ) const

inline

Returns a read-only iterator4d that points to the past the end element of the Matrix4d. It points to past the end element of the last back bottom right element of the Matrix4d.

Returns

const iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
//Print M
std::copy(M.first_front_upper_left(),M.last_back_bottom_right(),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4395 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::iterator4d slip::Matrix4d< T >::last_back_bottom_right ( const Box4d< int > &  box )

inline

Returns a read/write iterator4d that points to the past the end element of the Matrix4d. It points to past the end element of the last back bottom right element of the Box4d associated to the Matrix4d.

Parameters

box	a Box4d defining the range of indices to iterate within the Matrix4d.

Returns

iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Precondition

The box indices must be inside the range of the Matrix4d ones.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Box4d<int> b(1,1,1,1,2,2,3,3);
//Print M values within the box
std::copy(M.first_front_upper_left(b),M.last_back_bottom_right(b),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4456 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_iterator4d slip::Matrix4d< T >::last_back_bottom_right ( const Box4d< int > &  box ) const

inline

Returns a read only iterator4d that points to the past the end element of the Matrix4d. It points to past the end element of the back bottom right element of the Box4d associated to the Matrix4d.

Parameters

box	a Box4d defining the range of indices to iterate within the Matrix4d.

Returns

end const iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Precondition

The box indices must be inside the range of the Matrix4d ones.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Box4d<int> b(1,1,1,1,2,2,3,3);
//Print M values within the box
std::copy(M.first_front_upper_left(b),M.last_back_bottom_right(b),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4464 of file Matrix4d.hpp.

template<typename Block>

iterator4d_range slip::Matrix4d< Block >::last_back_bottom_right	(	const range &	slab_range,
		const range &	slice_range,
		const range &	row_range,
		const range &	col_range
	)

Returns a read/write iterator4d_range that points to the past the end last back bottom right element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d.

Parameters

slab_range	The range of the slices.
slice_range	The range of the slices.
row_range	The range of the rows.
col_range	The range of the columns.

Precondition

slab_range, slice_range, row_range and col_range must be valid.

The ranges indices must be inside the ranges of the Matrix4d ones.

Returns

iterator4d_range value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Range<int> slar(0,2,2);
slip::Range<int> slir(0,2,2);
slip::Range<int> rr(0,3,2);
slip::Range<int> cr(0,4,2);
//Print M within a range
std::copy(M.first_front_upper_left(slar,slir,rr,cr),M.last_back_bottom_right(slar,slir,rr,cr),
          std::ostream_iterator<double>(std::cout," "));

template<typename Block>

const_iterator4d_range slip::Matrix4d< Block >::last_back_bottom_right	(	const range &	slab_range,
		const range &	slice_range,
		const range &	row_range,
		const range &	col_range
	)		const

Returns a read-only iterator4d_range that points to the past the end last back bottom right element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d.

Parameters

slab_range	The range of the slices.
slice_range	The range of the slices.
row_range	The range of the rows.
col_range	The range of the columns.

Precondition

slab_range, slice_range, row_range and col_range must be valid.

The ranges indices must be inside the ranges of the Matrix4d ones.

Returns

const_iterator4d_range value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Range<int> slar(0,2,2);
slip::Range<int> slir(0,2,2);
slip::Range<int> rr(0,3,2);
slip::Range<int> cr(0,4,2);
//Print M within a range
std::copy(M.first_front_upper_left(slar,slir,rr,cr),M.last_back_bottom_right(slar,slir,rr,cr),
          std::ostream_iterator<double>(std::cout," "));

template<typename T >

T & slip::Matrix4d< T >::max ( ) const

inline

Returns the max element of the Matrix according to the operator <.

Precondition

size() != 0

Definition at line 4896 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::max_size ( ) const

inline

Returns the maximal size (number of elements) in the Matrix4d.

Definition at line 4717 of file Matrix4d.hpp.

template<typename T >

T & slip::Matrix4d< T >::min ( ) const

inline

Returns the min element of the Matrix according to the operator <.

Precondition

size() != 0

Definition at line 4888 of file Matrix4d.hpp.

template<typename T >

std::string slip::Matrix4d< T >::name ( ) const

inline

Returns the name of the class.

Definition at line 4661 of file Matrix4d.hpp.

template<typename Block>

reference slip::Matrix4d< Block >::operator()	(	const size_type	l,
		const size_type	k,
		const size_type	i,
		const size_type	j
	)

Subscript access to the data contained in the Matrix4d.

Parameters

l	The index of the slab for which the data should be accessed.
k	The index of the slice for which the data should be accessed.
i	The index of the row for which the data should be accessed.
j	The index of the column for which the data should be accessed.

Returns

Read/Write reference to data.

Precondition

l < slabs()

k < slices()

i < rows()

j < cols() This operator allows for easy, 4d array-style, data access. Note that data access with this operator is unchecked and out_of_range lookups are not defined.

template<typename Block>

const_reference slip::Matrix4d< Block >::operator()	(	const size_type	l,
		const size_type	k,
		const size_type	i,
		const size_type	j
	)		const

Subscript access to the data contained in the Matrix4d.

Parameters

l	The index of the slab for which the data should be accessed.
k	The index of the slice for which the data should be accessed.
i	The index of the row for which the data should be accessed.
j	The index of the column for which the data should be accessed.

Returns

Read_only (constant) reference to data.

Precondition

l < slabs()

k < slices()

i < rows()

j < cols() This operator allows for easy, 4d array-style, data access. Note that data access with this operator is unchecked and out_of_range lookups are not defined.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::operator*= ( const T &  val )

inline

Definition at line 4816 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::operator*= ( const self &  rhs )

inline

Definition at line 4865 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::operator+= ( const T &  val )

inline

Add val to each element of the Matrix.

Parameters

val

value

Returns

reference to the resulting Matrix

Definition at line 4800 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::operator+= ( const self &  rhs )

inline

Definition at line 4841 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > slip::Matrix4d< T >::operator- ( ) const

inline

Definition at line 4832 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::operator-= ( const T &  val )

inline

Definition at line 4808 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::operator-= ( const self &  rhs )

inline

Definition at line 4853 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::operator/= ( const T &  val )

inline

Definition at line 4824 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::operator/= ( const self &  rhs )

inline

Definition at line 4877 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::operator= ( const Matrix4d< T > &  rhs )

inline

Assign a Matrix4d.

Assign elements of Matrix4d in rhs

Parameters

rhs	Matrix4d to get the values from.

Returns

Definition at line 3624 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > & slip::Matrix4d< T >::operator= ( const T &  value )

inline

Assign all the elments of the Matrix4d by value.

Parameters

value

A reference-to-const of arbitrary type.

Returns

Definition at line 3635 of file Matrix4d.hpp.

template<typename Block>

T*** slip::Matrix4d< Block >::operator[]

(

const size_type

l

)

template<typename Block>

const T** const* slip::Matrix4d< Block >::operator[]

(

const size_type

l

)

const

template<typename T >

Matrix4d< T >::reverse_iterator slip::Matrix4d< T >::rbegin ( )

inline

Returns a read/write reverse iterator that points to the last element in the Matrix4d. Iteration is done in reverse element order.

Returns

reverse begin iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

 slip::Matrix4d<double> A1(10,9,5,2);
 slip::Matrix4d<double> A2(10,9,5,2);
 slip::Matrix4d<double> S(10,9,5,2);
//copy the sum of A1 and A2 in S
std::transform(A1.rbegin(),A1.rend(),
               A2.rbegin(),S.rbegin(),
               std::plus<double>());

Definition at line 3698 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_reverse_iterator slip::Matrix4d< T >::rbegin ( ) const

inline

Returns a read-only (constant) reverse iterator that points to the last element in the Matrix4d. Iteration is done in reverse element order.

Returns

const reverse begin iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

 slip::Matrix4d<double> A1(10,9,5,2);
 slip::Matrix4d<double> A2(10,9,5,2);
 slip::Matrix4d<double> S(10,9,5,2);
//copy the sum of A1 and A2 in S
std::transform(A1.rbegin(),A1.rend(),
               A2.rbegin(),S.rbegin(),
               std::plus<double>());

Definition at line 3705 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::reverse_iterator slip::Matrix4d< T >::rend ( )

inline

Returns a read/write reverse iterator that points to one before the first element in the Matrix4d. Iteration is done in reverse element order.

Returns

reverse end iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

 slip::Matrix4d<double> A1(10,9,5,2);
 slip::Matrix4d<double> A2(10,9,5,2);
 slip::Matrix4d<double> S(10,9,5,2);
//copy the sum of A1 and A2 in S
std::transform(A1.rbegin(),A1.rend(),
               A2.rbegin(),S.rbegin(),
               std::plus<double>());

Definition at line 3712 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_reverse_iterator slip::Matrix4d< T >::rend ( ) const

inline

Returns a read-only (constant) reverse iterator that points to one before the first element in the Matrix4d. Iteration is done in reverse element order.

Returns

const reverse end iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

 slip::Matrix4d<double> A1(10,9,5,2);
 slip::Matrix4d<double> A2(10,9,5,2);
 slip::Matrix4d<double> S(10,9,5,2);
//copy the sum of A1 and A2 in S
std::transform(A1.rbegin(),A1.rend(),
               A2.rbegin(),S.rbegin(),
               std::plus<double>());

Definition at line 3720 of file Matrix4d.hpp.

template<typename Block>

void slip::Matrix4d< T >::resize ( std::size_t  d1, std::size_t  d2, std::size_t  d3, std::size_t  d4, const T &  val = T()  )

inline

Resizes a Matrix4d.

Parameters

d1	new first dimension
d2	new second dimension
d3	new third dimension
d4	new fourth dimension
val	new value for all the elements

Definition at line 3643 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::reverse_iterator4d slip::Matrix4d< T >::rfirst_front_upper_left ( )

inline

Returns a read/write reverse iterator4d. It points to the last back bottom right element of the Matrix4d. Iteration is done within the Matrix4d in the reverse order.

Returns

reverse_iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
//Print M in a reverse order
std::copy(M.rfirst_front_upper_left(),M.rlast_back_bottom_right(),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4421 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_reverse_iterator4d slip::Matrix4d< T >::rfirst_front_upper_left ( ) const

inline

Returns a read only reverse iterator4d that points. It points to the last back bottom right element of the Matrix4d. Iteration is done within the Matrix4d in the reverse order.

Returns

const_reverse_iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
//Print M in a reverse order
std::copy(M.rfirst_front_upper_left(),M.rlast_back_bottom_right(),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4429 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::reverse_iterator4d slip::Matrix4d< T >::rfirst_front_upper_left ( const Box4d< int > &  box )

inline

Returns a read/write reverse iterator4d. It points to the back bottom right element of the Box4d associated to the Matrix4d. Iteration is done in the reverse order.

Parameters

box	a Box4d defining the range of indices to iterate within the Matrix4d.

Precondition

The box indices must be inside the range of the Matrix4d ones.

Returns

reverse iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Box4d<int> b(1,1,1,1,2,2,3,3);
//Print M values within the box in reverse order.
std::copy(M.rfirst_front_upper_left(b),M.rlast_back_bottom_right(b),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4490 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_reverse_iterator4d slip::Matrix4d< T >::rfirst_front_upper_left ( const Box4d< int > &  box ) const

inline

Returns a read only reverse iterator4d. It points to the back bottom right element of the Box4d box associated to the Matrix4d. Iteration is done in the reverse order.

Parameters

box	A Box4d defining the range of indices to iterate within the Matrix4d.

Precondition

The box indices must be inside the range of the Matrix4d ones.

Returns

const reverse iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Box4d<int> b(1,1,1,1,2,2,3,3);
//Print M values within the box in reverse order.
std::copy(M.rfirst_front_upper_left(b),M.rlast_back_bottom_right(b),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4498 of file Matrix4d.hpp.

template<typename Block>

reverse_iterator4d_range slip::Matrix4d< Block >::rfirst_front_upper_left	(	const range &	slab_range,
		const range &	slice_range,
		const range &	row_range,
		const range &	col_range
	)

Returns a read/write reverse_iterator4d_range that points to the past the last back bottom right element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. Iteration is done in the reverse order.

Parameters

slab_range	The range of the slices.
slice_range	The range of the slices.
row_range	The range of the rows.
col_range	The range of the columns.

Precondition

slab_range, slice_range, row_range and col_range must be valid.

The ranges indices must be inside the ranges of the Matrix4d ones.

Returns

reverse_iterator4d_range value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Range<int> slar(0,2,2);
slip::Range<int> slir(0,2,2);
slip::Range<int> rr(0,3,2);
slip::Range<int> cr(0,4,2);
//Print M within a range in reverse order
std::copy(M.rfirst_front_upper_left(slar,slir,rr,cr),M.rlast_back_bottom_right(slar,slir,rr,cr),
          std::ostream_iterator<double>(std::cout," "));

template<typename Block>

const_reverse_iterator4d_range slip::Matrix4d< Block >::rfirst_front_upper_left	(	const range &	slab_range,
		const range &	slice_range,
		const range &	row_range,
		const range &	col_range
	)		const

Returns a read-only reverse_iterator4d_range that points to the past the last back bottom right element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. Iteration is done in the reverse order.

Parameters

slab_range	The range of the slices.
slice_range	The range of the slices.
row_range	The range of the rows.
col_range	The range of the columns.

Precondition

slab_range, slice_range, row_range and col_range must be valid.

The ranges indices must be inside the ranges of the Matrix4d ones.

Returns

const_reverse_iterator4d_range value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Range<int> slar(0,2,2);
slip::Range<int> slir(0,2,2);
slip::Range<int> rr(0,3,2);
slip::Range<int> cr(0,4,2);
//Print M within a range in reverse order
std::copy(M.rfirst_front_upper_left(slar,slir,rr,cr),M.rlast_back_bottom_right(slar,slir,rr,cr),
          std::ostream_iterator<double>(std::cout," "));

template<typename T >

Matrix4d< T >::reverse_iterator4d slip::Matrix4d< T >::rlast_back_bottom_right ( )

inline

Returns a read/write reverse iterator4d. It points to past the first front upper left element of the Matrix4d. Iteration is done in the reverse order.

Returns

reverse iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
//Print M in a reverse order
std::copy(M.rfirst_front_upper_left(),M.rlast_back_bottom_right(),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4404 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_reverse_iterator4d slip::Matrix4d< T >::rlast_back_bottom_right ( ) const

inline

Returns a read only reverse iterator4d. It points to past the first front upper left element of the Matrix4d. Iteration is done in the reverse order.

Returns

const reverse iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
//Print M in a reverse order
std::copy(M.rfirst_front_upper_left(),M.rlast_back_bottom_right(),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4412 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::reverse_iterator4d slip::Matrix4d< T >::rlast_back_bottom_right ( const Box4d< int > &  box )

inline

Returns a read/write reverse iterator4d. It points to one before the front upper left element of the Box4d box associated to the Matrix4d.

Parameters

box	A Box4d defining the range of indices to iterate within the Matrix4d.

Precondition

The box indices must be inside the range of the Matrix4d ones.

Returns

reverse iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Box4d<int> b(1,1,1,1,2,2,3,3);
//Print M values within the box in reverse order.
std::copy(M.rfirst_front_upper_left(b),M.rlast_back_bottom_right(b),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4473 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::const_reverse_iterator4d slip::Matrix4d< T >::rlast_back_bottom_right ( const Box4d< int > &  box ) const

inline

Returns a read-only reverse iterator4d. It points to one before the front element of the bottom right element of the Box4d box associated to the Matrix4d.

Parameters

box	A Box4d defining the range of indices to iterate within the Matrix4d.

Precondition

The box indices must be inside the range of the Matrix4d ones.

Returns

const reverse iterator4d value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Box4d<int> b(1,1,1,1,2,2,3,3);
//Print M values within the box in reverse order.
std::copy(M.rfirst_front_upper_left(b),M.rlast_back_bottom_right(b),
          std::ostream_iterator<double>(std::cout," "));

Definition at line 4481 of file Matrix4d.hpp.

template<typename Block>

reverse_iterator4d_range slip::Matrix4d< Block >::rlast_back_bottom_right	(	const range &	slab_range,
		const range &	slice_range,
		const range &	row_range,
		const range &	col_range
	)

Returns a read/write reverse_iterator4d_range that points to one before the first front upper left element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. Iteration is done in the reverse order.

Parameters

slab_range	The range of the slices.
slice_range	The range of the slices.
row_range	The range of the rows.
col_range	The range of the columns.

Precondition

slab_range, slice_range, row_range and col_range must be valid.

The ranges indices must be inside the ranges of the Matrix4d ones.

Returns

reverse_iterator4d_range value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Range<int> slar(0,2,2);
slip::Range<int> slir(0,2,2);
slip::Range<int> rr(0,3,2);
slip::Range<int> cr(0,4,2);
//Print M within a range in reverse order
std::copy(M.rfirst_front_upper_left(slar,slir,rr,cr),M.rlast_back_bottom_right(slar,slir,rr,cr),
          std::ostream_iterator<double>(std::cout," "));

template<typename Block>

const_reverse_iterator4d_range slip::Matrix4d< Block >::rlast_back_bottom_right	(	const range &	slab_range,
		const range &	slice_range,
		const range &	row_range,
		const range &	col_range
	)		const

Returns a read-only reverse_iterator4d_range that points to one before the first front upper left element of the ranges slab_range, slice_range, row_range and col_range associated to the Matrix4d. Iteration is done in the reverse order.

Parameters

slab_range	The range of the slices.
slice_range	The range of the slices.
row_range	The range of the rows.
col_range	The range of the columns.

Precondition

slab_range, slice_range, row_range and col_range must be valid.

The ranges indices must be inside the ranges of the Matrix4d ones.

Returns

const_reverse_iterator4d_range value

Remarks

This iterator is compatible with BidirectionalIterator algorithms.

Example

slip::Matrix4d<double> M(3,4,5,6);
slip::Range<int> slar(0,2,2);
slip::Range<int> slir(0,2,2);
slip::Range<int> rr(0,3,2);
slip::Range<int> cr(0,4,2);
//Print M within a range in reverse order
std::copy(M.rfirst_front_upper_left(slar,slir,rr,cr),M.rlast_back_bottom_right(slar,slir,rr,cr),
          std::ostream_iterator<double>(std::cout," "));

template<typename Block>

row_iterator slip::Matrix4d< Block >::row_begin	(	const size_type	slab,
		const size_type	slice,
		const size_type	row
	)

Returns a read/write iterator that points to the first element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in ordinary element order.

Parameters

slab	The index of the slab.
slice	The index of the slice.
row	The index of the row.

Returns

begin row_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

const_row_iterator slip::Matrix4d< Block >::row_begin	(	const size_type	slab,
		const size_type	slice,
		const size_type	row
	)		const

Returns a read_only iterator that points to the first element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in ordinary element order.

Parameters

slab	The index of the slab.
slice	The index of the slice.
row	The index of the row.

Returns

begin const_row_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

row_range_iterator slip::Matrix4d< Block >::row_begin	(	const size_type	slab,
		const size_type	slice,
		const size_type	row,
		const slip::Range< int > &	range
	)

Returns a read/write iterator that points to the first element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
row	The index of the row to iterate.
range	Range of the row to iterate.

Returns

begin row_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

row must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(5,4,8,4);
 slip::Range<int> range(0,A1.dim3()-1,2);
//copy the the elements of the row 0 of the slab 0 and the slice 0 of A1 iterated according to the
//range in the row 1 of the slab 1 and slice 1 of A2
std::copy(A1.row_begin(0,0,0,range),A1.row_end(0,0,0,range),A2.row_begin(1,1,1));

template<typename Block>

const_row_range_iterator slip::Matrix4d< Block >::row_begin	(	const size_type	slab,
		const size_type	slice,
		const size_type	row,
		const slip::Range< int > &	range
	)		const

Returns a read-only iterator that points to the first element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
row	The index of the row to iterate.
range	Range of the row to iterate.

Returns

begin const_row_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

row must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(5,4,8,4);
 slip::Range<int> range(0,A1.dim3()-1,2);
//copy the the elements of the row 0 of the slab 0 and the slice 0 of A1 iterated according to the
//range in the row 1 of the slab 1 and slice 1 of A2
std::copy(A1.row_begin(0,0,0,range),A1.row_end(0,0,0,range),A2.row_begin(1,1,1));

template<typename Block>

row_iterator slip::Matrix4d< Block >::row_end	(	const size_type	slab,
		const size_type	slice,
		const size_type	row
	)

Returns a read/write iterator that points to the past-the-end element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in ordinary element order.

Parameters

slab	The index of the slab.
slice	The index of the slice.
row	The index of the row.

Returns

end row_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

const_row_iterator slip::Matrix4d< Block >::row_end	(	const size_type	slab,
		const size_type	slice,
		const size_type	row
	)		const

Returns a read_only iterator that points to the past-the-end element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in ordinary element order.

Parameters

slab	The index of the slab.
slice	The index of the slice.
row	The index of the row.

Returns

end const_row_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

row_range_iterator slip::Matrix4d< Block >::row_end	(	const size_type	slab,
		const size_type	slice,
		const size_type	row,
		const slip::Range< int > &	range
	)

Returns a read/write iterator that points one past the end element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
row	The index of the row to iterate.
range	Range of the row to iterate.

Returns

end row_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

row must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(5,4,8,4);
 slip::Range<int> range(0,A1.dim3()-1,2);
//copy the the elements of the row 0 of the slab 0 and the slice 0 of A1 iterated according to the
//range in the row 1 of the slab 1 and slice 1 of A2
std::copy(A1.row_begin(0,0,0,range),A1.row_end(0,0,0,range),A2.row_begin(1,1,1));

template<typename Block>

const_row_range_iterator slip::Matrix4d< Block >::row_end	(	const size_type	slab,
		const size_type	slice,
		const size_type	row,
		const slip::Range< int > &	range
	)		const

Returns a read_only iterator that points one past the last element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
row	Row to iterate.
range	Range of the row to iterate

Returns

begin const_row_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

row must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(5,4,8,4);
 slip::Range<int> range(0,A1.dim3()-1,2);
//copy the the elements of the row 0 of the slab 0 and the slice 0 of A1 iterated according to the
//range in the row 1 of the slab 1 and slice 1 of A2
std::copy(A1.row_begin(0,0,0,range),A1.row_end(0,0,0,range),A2.row_begin(1,1,1));

template<typename Block>

reverse_row_iterator slip::Matrix4d< Block >::row_rbegin	(	const size_type	slab,
		const size_type	slice,
		const size_type	row
	)

Returns a read/write reverse iterator that points to the last element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in reverse element order.

Parameters

slab	The index of the slab.
slice	The index of the slice.
row	The index of the row.

Returns

begin reverse_row_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

const_reverse_row_iterator slip::Matrix4d< Block >::row_rbegin	(	const size_type	slab,
		const size_type	slice,
		const size_type	row
	)		const

Returns a read_only reverse iterator that points to the last element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in reverse element order.

Parameters

slab	The index of the slab.
slice	The index of the slice.
row	The index of the row.

Returns

begin const_reverse_row_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

reverse_row_range_iterator slip::Matrix4d< Block >::row_rbegin	(	const size_type	slab,
		const size_type	slice,
		const size_type	row,
		const slip::Range< int > &	range
	)

Returns a read-write iterator that points to the last element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
row	The index of the row to iterate.
range	Range of the row to iterate.

Returns

reverse_row_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

row must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(5,4,8,4);
 slip::Range<int> range(0,A1.dim3()-1,2);
//copy the the elements of the row 0 of the slab 0 and the slice 0 of A1 iterated
in reverse order according to the range in the row 1 of the slab 1 and slice 1 of A2
std::copy(A1.row_rbegin(0,0,0,range),A1.row_rend(0,0,0,range),A2.row_begin(1,1,1));

template<typename Block>

const_reverse_row_range_iterator slip::Matrix4d< Block >::row_rbegin	(	const size_type	slab,
		const size_type	slice,
		const size_type	row,
		const slip::Range< int > &	range
	)		const

Returns a read-only iterator that points to the last element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
row	The index of the row to iterate.
range	Range of the row to iterate

Returns

begin const_reverse_row_range_iterator value

Precondition

row must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(5,4,8,4);
 slip::Range<int> range(0,A1.dim3()-1,2);
//copy the the elements of the row 0 of the slab 0 and the slice 0 of A1 iterated
in reverse order according to the range in the row 1 of the slab 1 and slice 1 of A2
std::copy(A1.row_rbegin(0,0,0,range),A1.row_rend(0,0,0,range),A2.row_begin(1,1,1));

template<typename Block>

reverse_row_iterator slip::Matrix4d< Block >::row_rend	(	const size_type	slab,
		const size_type	slice,
		const size_type	row
	)

Returns a read/write reverse iterator that points to the first element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in reverse element order.

Parameters

slab	The index of the slab.
slice	The index of the slice.
row	The index of the row.

Returns

end reverse_row_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

const_reverse_row_iterator slip::Matrix4d< Block >::row_rend	(	const size_type	slab,
		const size_type	slice,
		const size_type	row
	)		const

Returns a read_only reverse iterator that points to the first element of the row row of a given slab slab and a given slice slice in the Matrix4d. Iteration is done in reverse element order.

Parameters

slab	The index of the slab.
slice	The index of the slice.
row	The index of the row.

Returns

end const_reverse_row_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Note

The row and col iterators iterate in the rows and columns respectively. There are different from slab and slice iterators that cross the slabs and slices respectively.

template<typename Block>

reverse_row_range_iterator slip::Matrix4d< Block >::row_rend	(	const size_type	slab,
		const size_type	slice,
		const size_type	row,
		const slip::Range< int > &	range
	)

Returns a read-write iterator that points one before the first element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
row	The index of the row to iterate.
range	Range of the row to iterate.

Returns

reverse_row_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

row must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(5,4,8,4);
 slip::Range<int> range(0,A1.dim3()-1,2);
//copy the the elements of the row 0 of the slab 0 and the slice 0 of A1 iterated
in reverse order according to the range in the row 1 of the slab 1 and slice 1 of A2
std::copy(A1.row_rbegin(0,0,0,range),A1.row_rend(0,0,0,range),A2.row_begin(1,1,1));

template<typename Block>

const_reverse_row_range_iterator slip::Matrix4d< Block >::row_rend	(	const size_type	slab,
		const size_type	slice,
		const size_type	row,
		const slip::Range< int > &	range
	)		const

Returns a read-only iterator that points one before the first element of the Range range of the row row in the slab slab and the slice slice in the Matrix4d. Iteration is done in the reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
slice	The index of the slice.
row	The index of the row to iterate.
range	Range of the row to iterate

Returns

const_reverse_row_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

row must be compatible with the range of the Matrix4d.

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,8,8,8);
 slip::Matrix4d<double> A2(5,4,8,4);
 slip::Range<int> range(0,A1.dim3()-1,2);
//copy the the elements of the row 0 of the slab 0 and the slice 0 of A1 iterated
in reverse order according to the range in the row 1 of the slab 1 and slice 1 of A2
std::copy(A1.row_rbegin(0,0,0,range),A1.row_rend(0,0,0,range),A2.row_begin(1,1,1));

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::rows ( ) const

inline

Returns the number of rows (third dimension size) in the Matrix4d.

Definition at line 4691 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::size ( ) const

inline

Returns the number of elements in the Matrix4d.

Definition at line 4712 of file Matrix4d.hpp.

template<typename Block>

slab_iterator slip::Matrix4d< Block >::slab_begin	(	const size_type	slice,
		const size_type	row,
		const size_type	col
	)

Returns a read/write iterator that points to the first element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order (increasing slab number).

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

slab_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate the sums of the A1 and A2 elements pairwise for the line crossing the slabs through the first slice,
the second row and the third column. Put the calculated sums in the S array.
std::transform(A1.slab_begin(0,1,2),A1.slab_end(0,1,2),
               A2.slab_begin(0,1,2),S.begin(),
               std::plus<double>());

template<typename Block>

const_slab_iterator slip::Matrix4d< Block >::slab_begin	(	const size_type	slice,
		const size_type	row,
		const size_type	col
	)		const

Returns a read-only (constant) iterator that points to the first element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order (increasing slab number).

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

const_slab_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate the sums of the A1 and A2 elements pairwise for the line crossing the slabs through the first slice,
the second row and the third column. Put the calculated sums in the S array.
std::transform(A1.slab_begin(0,1,2),A1.slab_end(0,1,2),
               A2.slab_begin(0,1,2),S.begin(),
               std::plus<double>());

template<typename Block>

slab_range_iterator slip::Matrix4d< Block >::slab_begin	(	const size_type	slice,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read/write iterator that points to the first element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

begin slab_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slab dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,7,6,5);
 slip::Matrix4d<double> A2(8,7,6,5);
 slip::Range<int> range(0,A1.dim2()-1,2);
//copy the the elements of the line (0,0,0) of A1 iterated according to the
//range in the line (1,1,1) of A2
std::copy(A1.slab_begin(0,0,0,range),A1.slab_end(0,0,0,range),A2.slab_begin(1,1,1));

template<typename Block>

const_slab_range_iterator slip::Matrix4d< Block >::slab_begin	(	const size_type	slice,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read only (constant) iterator that points to the first element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

begin const_slab_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slab dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated according to the range
std::copy(A1.slab_begin(0,0,0,range),A1.slab_end(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename Block>

slab_iterator slip::Matrix4d< Block >::slab_end	(	const size_type	slice,
		const size_type	row,
		const size_type	col
	)

Returns a read/write iterator that points to the one past the end element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order (increasing slab number).

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

slab_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate the sums of the A1 and A2 elements pairwise for the line crossing the slabs through the first slice,
the second row and the third column. Put the calculated sums in the S array.
std::transform(A1.slab_begin(0,1,2),A1.slab_end(0,1,2),
               A2.slab_begin(0,1,2),S.begin(),
               std::plus<double>());

template<typename Block>

const_slab_iterator slip::Matrix4d< Block >::slab_end	(	const size_type	slice,
		const size_type	row,
		const size_type	col
	)		const

Returns a read-only (constant) iterator that points to the one past the end element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order (increasing slab number).

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

const_slab_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate the sums of the A1 and A2 elements pairwise for the line crossing the slabs through the first slice,
the second row and the third column. Put the calculated sums in the S array.
std::transform(A1.slab_begin(0,1,2),A1.slab_end(0,1,2),
               A2.slab_begin(0,1,2),S.begin(),
               std::plus<double>());

template<typename Block>

slab_range_iterator slip::Matrix4d< Block >::slab_end	(	const size_type	slice,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read/write iterator that points one past the end element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

end slab_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slab dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,7,6,5);
 slip::Matrix4d<double> A2(8,7,6,5);
 slip::Range<int> range(0,A1.dim2()-1,2);
//copy the the elements of the line (0,0,0) of A1 iterated according to the
//range in the line (1,1,1) of A2
std::copy(A1.slab_begin(0,0,0,range),A1.slab_end(0,0,0,range),A2.slab_begin(1,1,1));

template<typename Block>

const_slab_range_iterator slip::Matrix4d< Block >::slab_end	(	const size_type	slice,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read_only iterator that points one past the last element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

end const_slab_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slab dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated according to the range
std::copy(A1.slab_begin(0,0,0,range),A1.slab_end(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename Block>

reverse_slab_iterator slip::Matrix4d< Block >::slab_rbegin	(	const size_type	slice,
		const size_type	row,
		const size_type	col
	)

Returns a read/write iterator that points to the last element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order (decreasing slab number).

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

reverse_slab_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate, in reverse order, the sums of the A1 and A2 elements pairwise for the line crossing
the slabs through the first slice, the second row and the third column.
Put the calculated sums in the S array.
std::transform(A1.slab_rbegin(0,1,2),A1.slab_rend(0,1,2),
               A2.slab_rbegin(0,1,2),S.begin(),
               std::plus<double>());

template<typename Block>

const_reverse_slab_iterator slip::Matrix4d< Block >::slab_rbegin	(	const size_type	slice,
		const size_type	row,
		const size_type	col
	)		const

Returns a read-only (constant) iterator that points to the last element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order (decreasing slab number).

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

const_reverse_slab_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate, in reverse order, the sums of the A1 and A2 elements pairwise for the line crossing
the slabs through the first slice, the second row and the third column.
Put the calculated sums in the S array.
std::transform(A1.slab_rbegin(0,1,2),A1.slab_rend(0,1,2),
               A2.slab_rbegin(0,1,2),S.begin(),
               std::plus<double>());

template<typename Block>

reverse_slab_range_iterator slip::Matrix4d< Block >::slab_rbegin	(	const size_type	slice,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read/write iterator that points to the last element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in the reverse element order according to the Range.

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

begin reverse_slab_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slab dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated in reverse order
//according to the range
std::copy(A1.slab_rbegin(0,0,0,range),A1.slab_rend(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename Block>

const_reverse_slab_range_iterator slip::Matrix4d< Block >::slab_rbegin	(	const size_type	slice,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read only (constant) iterator that points to the last element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order according to the Range.

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

begin const_reverse_slab_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slab dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated in reverse order
//according to the range
std::copy(A1.slab_rbegin(0,0,0,range),A1.slab_rend(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename Block>

reverse_slab_iterator slip::Matrix4d< Block >::slab_rend	(	const size_type	slice,
		const size_type	row,
		const size_type	col
	)

Returns a read/write iterator that points to the one before the first element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order (decreasing slab number).

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

reverse_slab_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate, in reverse order, the sums of the A1 and A2 elements pairwise for the line crossing
the slabs through the first slice, the second row and the third column.
Put the calculated sums in the S array.
std::transform(A1.slab_rbegin(0,1,2),A1.slab_rend(0,1,2),
               A2.slab_rbegin(0,1,2),S.begin(),
               std::plus<double>());

template<typename Block>

const_reverse_slab_iterator slip::Matrix4d< Block >::slab_rend	(	const size_type	slice,
		const size_type	row,
		const size_type	col
	)		const

Returns a read (constant) iterator that points to the one before the first element of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order (decreasing slab number).

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

const_reverse_slab_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate, in reverse order, the sums of the A1 and A2 elements pairwise for the line crossing
the slabs through the first slice, the second row and the third column.
Put the calculated sums in the S array.
std::transform(A1.slab_rbegin(0,1,2),A1.slab_rend(0,1,2),
               A2.slab_rbegin(0,1,2),S.begin(),
               std::plus<double>());

template<typename Block>

reverse_slab_range_iterator slip::Matrix4d< Block >::slab_rend	(	const size_type	slice,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read/write iterator that points to the first element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order according to the Range.

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

end reverse_slab_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slab dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated in reverse order
//according to the range
std::copy(A1.slab_rbegin(0,0,0,range),A1.slab_rend(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename Block>

const_reverse_slab_range_iterator slip::Matrix4d< Block >::slab_rend	(	const size_type	slice,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read_only iterator that points one past the lastto the first element of the Range range of the of the line (slice,row,col) through the slabs in the Matrix4d. Iteration is done in reverse element order according to the Range.

Parameters

slice	slice coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

end const_reverse_slab_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slab dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated in reverse order
//according to the range
std::copy(A1.slab_rbegin(0,0,0,range),A1.slab_rend(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::slabs ( ) const

inline

Returns the number of slabs (first dimension size) in the Matrix4d.

Definition at line 4671 of file Matrix4d.hpp.

template<typename Block>

slice_iterator slip::Matrix4d< Block >::slice_begin	(	const size_type	slab,
		const size_type	row,
		const size_type	col
	)

Returns a read/write iterator that points to the first element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order (increasing slice number).

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

slice_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate the sums of the A1 and A2 elements pairwise for the line crossing the slices through the first slab,
the second row and the third column. Put the calculated sums in the S array.
std::transform(A1.slice_begin(0,1,2),A1.slice_end(0,1,2),
              A2.slice_begin(0,1,2),S.begin(),
              std::plus<double>());

template<typename Block>

const_slice_iterator slip::Matrix4d< Block >::slice_begin	(	const size_type	slab,
		const size_type	row,
		const size_type	col
	)		const

Returns a read-only (constant) iterator that points to the first element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order (increasing slice number).

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

const_slice_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate the sums of the A1 and A2 elements pairwise for the line crossing the slices through the first slab,
the second row and the third column. Put the calculated sums in the S array.
std::transform(A1.slice_begin(0,1,2),A1.slice_end(0,1,2),
              A2.slice_begin(0,1,2),S.begin(),
              std::plus<double>());

template<typename Block>

slice_range_iterator slip::Matrix4d< Block >::slice_begin	(	const size_type	slab,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read/write iterator that points to the first element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

begin slice_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slice dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,7,6,5);
 slip::Matrix4d<double> A2(8,7,6,5);
 slip::Range<int> range(0,A1.dim2()-1,2);
//copy the the elements of the line (0,0,0) of A1 iterated according to the
//range in the line (1,1,1) of A2
std::copy(A1.slice_begin(0,0,0,range),A1.slice_end(0,0,0,range),A2.slice_begin(1,1,1));

template<typename Block>

const_slice_range_iterator slip::Matrix4d< Block >::slice_begin	(	const size_type	slab,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read only (constant) iterator that points to the first element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

begin const_slice_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slice dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated according to the range
std::copy(A1.slice_begin(0,0,0,range),A1.slice_end(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename Block>

slice_iterator slip::Matrix4d< Block >::slice_end	(	const size_type	slab,
		const size_type	row,
		const size_type	col
	)

Returns a read/write iterator that points to the one past the end element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order (increasing slice number).

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

slice_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate the sums of the A1 and A2 elements pairwise for the line crossing the slices through the first slab,
the second row and the third column. Put the calculated sums in the S array.
std::transform(A1.slice_begin(0,1,2),A1.slice_end(0,1,2),
              A2.slice_begin(0,1,2),S.begin(),
              std::plus<double>());

template<typename Block>

const_slice_iterator slip::Matrix4d< Block >::slice_end	(	const size_type	slab,
		const size_type	row,
		const size_type	col
	)		const

Returns a read-only (constant) iterator that points to the one past the end element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order (increasing slice number).

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

const_slice_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate the sums of the A1 and A2 elements pairwise for the line crossing the slices through the first slab,
the second row and the third column. Put the calculated sums in the S array.
std::transform(A1.slice_begin(0,1,2),A1.slice_end(0,1,2),
              A2.slice_begin(0,1,2),S.begin(),
              std::plus<double>());

template<typename Block>

slice_range_iterator slip::Matrix4d< Block >::slice_end	(	const size_type	slab,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read/write iterator that points one past the end element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

end slice_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slice dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> A1(8,7,6,5);
 slip::Matrix4d<double> A2(8,7,6,5);
 slip::Range<int> range(0,A1.dim2()-1,2);
//copy the the elements of the line (0,0,0) of A1 iterated according to the
//range in the line (1,1,1) of A2
std::copy(A1.slice_begin(0,0,0,range),A1.slice_end(0,0,0,range),A2.slice_begin(1,1,1));

template<typename Block>

const_slice_range_iterator slip::Matrix4d< Block >::slice_end	(	const size_type	slab,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read_only iterator that points one past the last element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in ordinary element order according to the Range.

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

end const_slice_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slice dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated according to the range
std::copy(A1.slice_begin(0,0,0,range),A1.slice_end(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename Block>

reverse_slice_iterator slip::Matrix4d< Block >::slice_rbegin	(	const size_type	slab,
		const size_type	row,
		const size_type	col
	)

Returns a read/write iterator that points to the last element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order (decreasing slice number).

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

reverse_slice_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate, in reverse order, the sums of the A1 and A2 elements pairwise for the line crossing
the slices through the first slab, the second row and the third column.
Put the calculated sums in the S array.
std::transform(A1.slice_rbegin(0,1,2),A1.slice_rend(0,1,2),
              A2.slice_rbegin(0,1,2),S.begin(),
              std::plus<double>());

template<typename Block>

const_reverse_slice_iterator slip::Matrix4d< Block >::slice_rbegin	(	const size_type	slab,
		const size_type	row,
		const size_type	col
	)		const

Returns a read-only (constant) iterator that points to the last element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order (decreasing slice number).

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

const_reverse_slice_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate, in reverse order, the sums of the A1 and A2 elements pairwise for the line crossing
the slices through the first slab, the second row and the third column.
Put the calculated sums in the S array.
std::transform(A1.slice_rbegin(0,1,2),A1.slice_rend(0,1,2),
              A2.slice_rbegin(0,1,2),S.begin(),
              std::plus<double>());

template<typename Block>

reverse_slice_range_iterator slip::Matrix4d< Block >::slice_rbegin	(	const size_type	slab,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read/write iterator that points to the last element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in the reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

begin reverse_slice_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slice dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated in reverse order
//according to the range
std::copy(A1.slice_rbegin(0,0,0,range),A1.slice_rend(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename Block>

const_reverse_slice_range_iterator slip::Matrix4d< Block >::slice_rbegin	(	const size_type	slab,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read only (constant) iterator that points to the last element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

begin const_reverse_slice_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slice dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated in reverse order
//according to the range
std::copy(A1.slice_rbegin(0,0,0,range),A1.slice_rend(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename Block>

reverse_slice_iterator slip::Matrix4d< Block >::slice_rend	(	const size_type	slab,
		const size_type	row,
		const size_type	col
	)

Returns a read/write iterator that points to the one before the first element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order (decreasing slice number).

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

reverse_slice_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate, in reverse order, the sums of the A1 and A2 elements pairwise for the line crossing
the slices through the first slab, the second row and the third column.
Put the calculated sums in the S array.
std::transform(A1.slice_rbegin(0,1,2),A1.slice_rend(0,1,2),
               A2.slice_rbegin(0,1,2),S.begin(),
               std::plus<double>());

template<typename Block>

const_reverse_slice_iterator slip::Matrix4d< Block >::slice_rend	(	const size_type	slab,
		const size_type	row,
		const size_type	col
	)		const

Returns a read (constant) iterator that points to the one before the first element of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order (decreasing slice number).

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line

Returns

const_reverse_slice_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Example:

slip::Matrix4d<double> A1(10,9,5,2);
slip::Matrix4d<double> A2(10,9,5,2);
slip::Array<double> S(9);
//calculate, in reverse order, the sums of the A1 and A2 elements pairwise for the line crossing
the slices through the first slab, the second row and the third column.
Put the calculated sums in the S array.
std::transform(A1.slice_rbegin(0,1,2),A1.slice_rend(0,1,2),
               A2.slice_rbegin(0,1,2),S.begin(),
               std::plus<double>());

template<typename Block>

reverse_slice_range_iterator slip::Matrix4d< Block >::slice_rend	(	const size_type	slab,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)

Returns a read/write iterator that points to the first element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

end reverse_slice_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slice dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated in reverse order
//according to the range
std::copy(A1.slice_rbegin(0,0,0,range),A1.slice_rend(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename Block>

const_reverse_slice_range_iterator slip::Matrix4d< Block >::slice_rend	(	const size_type	slab,
		const size_type	row,
		const size_type	col,
		const slip::Range< int > &	range
	)		const

Returns a read_only iterator that points one past the lastto the first element of the Range range of the of the line (slab,row,col) through the slices in the Matrix4d. Iteration is done in reverse element order according to the Range.

Parameters

slab	slab coordinate of the line
row	row coordinate of the line
col	col coordinate of the line
range	Range of the line to iterate.

Returns

end const_reverse_slice_range_iterator value

Remarks

This iterator is compatible with RandomAccessIterator algorithms.

Precondition

the range must be compatible with the slice dimensions

The range must be inside the whole range of the Matrix4d.

Example:

 slip::Matrix4d<double> const A1(M); //M is an already existing %Matrix4d
 slip::Range<int> range(0,A2.dim2()-1,2);
//display the elements of the line (0,0,0) of A1 iterated in reverse order
//according to the range
std::copy(A1.slice_rbegin(0,0,0,range),A1.slice_rend(0,0,0,range),
std::ostream_iterator<double>(std::cout," "));

template<typename T >

Matrix4d< T >::size_type slip::Matrix4d< T >::slices ( ) const

inline

Returns the number of slices (second dimension size) in the Matrix4d.

Definition at line 4681 of file Matrix4d.hpp.

template<typename T >

T slip::Matrix4d< T >::sum ( ) const

inline

Returns the sum of the elements of the Matrix.

Precondition

size() != 0

Definition at line 4904 of file Matrix4d.hpp.

template<typename Block>

void slip::Matrix4d< T >::swap ( Matrix4d< Block > &  M )

inline

Swaps data with another Matrix4d.

Parameters

M	A Matrix4d of the same element type

Precondition

dim1() == M.dim1()

dim2() == M.dim2()

dim3() == M.dim3()

dim4() == M.dim4()

Definition at line 4725 of file Matrix4d.hpp.

Friends And Related Function Documentation

template<typename T >

Matrix4d< T > abs ( const Matrix4d< T > &  V )

related

Returns the abs value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5073 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > acos ( const Matrix4d< T > &  V )

related

Returns the acos value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5101 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > asin ( const Matrix4d< T > &  V )

related

Returns the sin value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5119 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > atan ( const Matrix4d< T > &  V )

related

Returns the atan value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5137 of file Matrix4d.hpp.

template<typename Block>

friend class boost::serialization::access

friend

Definition at line 3245 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > cos ( const Matrix4d< T > &  V )

related

Returns the cos value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5092 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > cosh ( const Matrix4d< T > &  V )

related

Returns the cosh value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5164 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > exp ( const Matrix4d< T > &  V )

related

Returns the exp value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5146 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > log ( const Matrix4d< T > &  V )

related

Returns the log value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5155 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > log10 ( const Matrix4d< T > &  V )

related

Returns the log10 value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5191 of file Matrix4d.hpp.

template<typename T >

T & max ( const Matrix4d< T > &  M1 )

related

Returns the max element of a Matrix4d.

Parameters

M1	the Matrix4d

Returns

the min element

Definition at line 5066 of file Matrix4d.hpp.

template<typename T >

T & min ( const Matrix4d< T > &  M1 )

related

Returns the min element of a Matrix4d.

Parameters

M1	the Matrix4d

Returns

the min element

Definition at line 5059 of file Matrix4d.hpp.

template<typename Block>

bool operator!= ( const Matrix4d< T > &  x, const Matrix4d< T > &  y  )

friend

Matrix4d inequality comparison

Parameters

x	A Matrix4d
y	A Matrix4d of the same type of x

Returns

true if !(x == y)

Definition at line 4747 of file Matrix4d.hpp.

template<typename Block>

bool operator< ( const Matrix4d< T > &  x, const Matrix4d< T > &  y  )

friend

Less than comparison operator (Matrix4d ordering relation)

Parameters

x	A Matrix4d
y	A Matrix4d of the same type of x

Returns

true iff x is lexicographically less than y

Definition at line 4759 of file Matrix4d.hpp.

template<typename Block>

std::ostream& operator<< ( std::ostream &  out, const self &  a  )

friend

Write the Matrix4d to the ouput stream.

Parameters

out	output std::ostream
a	Matrix4d to write to the output stream

Definition at line 4607 of file Matrix4d.hpp.

template<typename Block>

bool operator<= ( const Matrix4d< T > &  x, const Matrix4d< T > &  y  )

friend

Less than equal comparison operator.

Parameters

x	A Matrix4d
y	A Matrix4d of the same type of x

Returns

true iff !(y > x)

Definition at line 4777 of file Matrix4d.hpp.

template<typename Block>

bool operator== ( const Matrix4d< T > &  x, const Matrix4d< T > &  y  )

friend

Matrix4d equality comparison

Parameters

x	A Matrix4d
y	A Matrix4d of the same type of x

Returns

true iff the size and the elements of the Arrays are equal

Definition at line 4738 of file Matrix4d.hpp.

template<typename Block>

bool operator> ( const Matrix4d< T > &  x, const Matrix4d< T > &  y  )

friend

More than comparison operator.

Parameters

x	A Matrix4d
y	A Matrix4d of the same type of x

Returns

true iff y > x

Definition at line 4769 of file Matrix4d.hpp.

template<typename Block>

bool operator>= ( const Matrix4d< T > &  x, const Matrix4d< T > &  y  )

friend

More than equal comparison operator.

Parameters

x	A Matrix4d
y	A Matrix4d of the same type of x

Returns

true iff !(x < y)

Definition at line 4785 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > sin ( const Matrix4d< T > &  V )

related

Returns the sin value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5110 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > sinh ( const Matrix4d< T > &  V )

related

Returns the sinh value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5173 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > sqrt ( const Matrix4d< T > &  V )

related

Returns the sqrt value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5083 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > tan ( const Matrix4d< T > &  V )

related

Returns the tan value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5128 of file Matrix4d.hpp.

template<typename T >

Matrix4d< T > tanh ( const Matrix4d< T > &  V )

related

Returns the tanh value of each element of the Matrix4d.

Parameters

V	The Matrix4d

Returns

the resulting Matrix4d

Definition at line 5182 of file Matrix4d.hpp.

Member Data Documentation

template<typename Block>

const std::size_t slip::Matrix4d< Block >::DIM = 4

static

Definition at line 245 of file Matrix4d.hpp.

---

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

• src/Container/GenericMultiComponent4d.hpp
• src/Container/Matrix4d.hpp