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| MultiArrayView< N, T, StrideTag > Class Template Reference |

Base class for, and view to, vigra::MultiArray. More...

`#include <vigra/multi_array.hxx>`

Inherited by MultiArrayView< N, Multiband< T >, StrideTag >.

List of all members.

## Public Types
enum | ActualDimension
typedef StridedScanOrderIterator < actual_dimension, T, T const &, T const * > | const_iterator
typedef const value_type * | const_pointer
typedef const value_type & | const_reference
typedef vigra::detail::MultiIteratorChooser < StrideTag >::template Traverser< actual_dimension, T, T const &, T const * >::type | const_traverser
typedef MultiArrayShape < actual_dimension >::type | difference_type
typedef MultiArrayIndex | difference_type_1
typedef StridedScanOrderIterator < actual_dimension, T, T &, T * > | iterator
typedef MultiArray< N, T > | matrix_type
typedef value_type * | pointer
typedef value_type & | reference
typedef difference_type | size_type
typedef vigra::detail::MultiIteratorChooser < StrideTag >::template Traverser< actual_dimension, T, T &, T * >::type | traverser
typedef T | value_type
typedef MultiArrayView< N, T, StrideTag > | view_type
## Public Member Functions
bool | all () const
bool | any () const
iterator | begin ()
const_iterator | begin () const
template<unsigned int M>
MultiArrayView< N-1, T, typename vigra::detail::MaybeStrided < StrideTag, M >::type > | bind (difference_type_1 d) const
MultiArrayView< N-1, T, StridedArrayTag > | bindAt (difference_type_1 m, difference_type_1 d) const
MultiArrayView< N, typename ExpandElementResult< T >::type, StridedArrayTag > | bindElementChannel (difference_type_1 i) const
template<int M, class Index >
MultiArrayView< N-M, T, StridedArrayTag > | bindInner (const TinyVector< Index, M > &d) const
MultiArrayView< N-1, T, StridedArrayTag > | bindInner (difference_type_1 d) const
template<int M, class Index >
MultiArrayView< N-M, T, StrideTag > | bindOuter (const TinyVector< Index, M > &d) const
MultiArrayView< N-1, T, StrideTag > | bindOuter (difference_type_1 d) const
difference_type_1 | coordinateToScanOrderIndex (const difference_type &d) const
void | copy (const MultiArrayView &rhs)
template<class U , class CN >
void | copy (const MultiArrayView< N, U, CN > &rhs)
pointer | data () const
MultiArrayView< 1, T, StridedArrayTag > | diagonal () const
difference_type_1 | elementCount () const
iterator | end ()
const_iterator | end () const
MultiArrayView< N+1, typename ExpandElementResult< T >::type, StridedArrayTag > | expandElements (difference_type_1 d) const
bool | hasData () const
template<class U >
MultiArrayView & | init (const U &init)
MultiArrayView< N+1, T, StrideTag > | insertSingletonDimension (difference_type_1 i) const
bool | isInside (difference_type const &p) const
bool | isUnstrided (unsigned int dimension=N-1) const
template<class U >
void | meanVariance (U *mean, U *variance) const
void | minmax (T *minimum, T *maximum) const
| MultiArrayView ()
| MultiArrayView (const difference_type &shape, pointer ptr)
| MultiArrayView (const difference_type &shape, const difference_type &stride, pointer ptr)
NormTraits< MultiArrayView > ::NormType | norm (int type=2, bool useSquaredNorm=true) const
| operator MultiArrayView< N, T, StridedArrayTag > () const
template<class U , class C1 >
bool | operator!= (MultiArrayView< N, U, C1 > const &rhs) const
reference | operator() (difference_type_1 x)
reference | operator() (difference_type_1 x, difference_type_1 y)
reference | operator() (difference_type_1 x, difference_type_1 y, difference_type_1 z)
reference | operator() (difference_type_1 x, difference_type_1 y, difference_type_1 z, difference_type_1 u)
reference | operator() (difference_type_1 x, difference_type_1 y, difference_type_1 z, difference_type_1 u, difference_type_1 v)
const_reference | operator() (difference_type_1 x) const
const_reference | operator() (difference_type_1 x, difference_type_1 y) const
const_reference | operator() (difference_type_1 x, difference_type_1 y, difference_type_1 z) const
const_reference | operator() (difference_type_1 x, difference_type_1 y, difference_type_1 z, difference_type_1 u) const
const_reference | operator() (difference_type_1 x, difference_type_1 y, difference_type_1 z, difference_type_1 u, difference_type_1 v) const
template<class U , class C1 >
MultiArrayView & | operator*= (MultiArrayView< N, U, C1 > const &rhs)
MultiArrayView & | operator*= (T const &rhs)
template<class Expression >
MultiArrayView & | operator*= (multi_math::MultiMathOperand< Expression > const &rhs)
template<class U , class C1 >
MultiArrayView & | operator+= (MultiArrayView< N, U, C1 > const &rhs)
MultiArrayView & | operator+= (T const &rhs)
template<class Expression >
MultiArrayView & | operator+= (multi_math::MultiMathOperand< Expression > const &rhs)
template<class U , class C1 >
MultiArrayView & | operator-= (MultiArrayView< N, U, C1 > const &rhs)
MultiArrayView & | operator-= (T const &rhs)
template<class Expression >
MultiArrayView & | operator-= (multi_math::MultiMathOperand< Expression > const &rhs)
template<class U , class C1 >
MultiArrayView & | operator/= (MultiArrayView< N, U, C1 > const &rhs)
MultiArrayView & | operator/= (T const &rhs)
template<class Expression >
MultiArrayView & | operator/= (multi_math::MultiMathOperand< Expression > const &rhs)
MultiArrayView & | operator= (MultiArrayView const &rhs)
template<class U , class C1 >
MultiArrayView & | operator= (MultiArrayView< N, U, C1 > const &rhs)
MultiArrayView & | operator= (value_type const &v)
template<class Expression >
MultiArrayView & | operator= (multi_math::MultiMathOperand< Expression > const &rhs)
template<class U , class C1 >
bool | operator== (MultiArrayView< N, U, C1 > const &rhs) const
reference | operator[] (const difference_type &d)
const_reference | operator[] (const difference_type &d) const
template<int M>
MultiArrayView< N-M, T, StridedArrayTag > | operator[] (const TinyVector< MultiArrayIndex, M > &d) const
reference | operator[] (difference_type_1 d)
const_reference | operator[] (difference_type_1 d) const
MultiArrayView< N, T, StridedArrayTag > | permuteDimensions (const difference_type &s) const
MultiArrayView< N, T, StridedArrayTag > | permuteStridesAscending () const
MultiArrayView< N, T, StridedArrayTag > | permuteStridesDescending () const
template<class U >
U | product () const
difference_type | scanOrderIndexToCoordinate (difference_type_1 d) const
const difference_type & | shape () const
difference_type_1 | shape (difference_type_1 n) const
difference_type_1 | size () const
difference_type_1 | size (difference_type_1 n) const
NormTraits< MultiArrayView > ::SquaredNormType | squaredNorm () const
const difference_type & | stride () const
difference_type_1 | stride (int n) const
MultiArrayView< N, T, StridedArrayTag > | stridearray (const difference_type &s) const
difference_type | strideOrdering () const
MultiArrayView | subarray (const difference_type &p, const difference_type &q) const
template<class U >
U | sum () const
template<class U , class S >
void | sum (MultiArrayView< N, U, S > sums) const
void | swapData (MultiArrayView rhs)
template<class T2 , class C2 >
void | swapData (MultiArrayView< N, T2, C2 > rhs)
MultiArrayView< N, T, StridedArrayTag > | transpose () const
traverser | traverser_begin ()
const_traverser | traverser_begin () const
traverser | traverser_end ()
const_traverser | traverser_end () const
## Static Public Member Functions
static difference_type | strideOrdering (difference_type strides)
## Protected Attributes
pointer | m_ptr
difference_type | m_shape
difference_type | m_stride

## Detailed Description

### template<unsigned int N, class T, class StrideTag>
class vigra::MultiArrayView< N, T, StrideTag >

Base class for, and view to, vigra::MultiArray.

This class implements the interface of both MultiArray and MultiArrayView. By default, MultiArrayViews are tagged as unstrided. If necessary, strided arrays are constructed automatically by calls to a variant of the bind...() function.

In addition to the member functions described here, `MultiArrayView` and its subclasses support arithmetic and algebraic functions via the module vigra::multi_math.

If you want to apply an algorithm requiring an image to a `MultiArrayView` of appropriate (2-dimensional) shape, you can create a vigra::BasicImageView that acts as a wrapper with the necessary interface -- see Wrap aref vigra::MultiArrayView in.

The template parameter are as follows

        N: the array dimension

        T: the type of the array elements

        C: a tag determining whether the array's inner dimension is strided
           or not. An array is unstrided if the array elements occupy consecutive
           memory location, strided if there is an offset in between (e.g.
           when a view is created that skips every other array element).
           The compiler can generate faster code for unstrided arrays.
           Possible values: UnstridedArrayTag (default), StridedArrayTag

#include <vigra/multi_array.hxx>

Namespace: vigra

## Member Typedef Documentation

typedef T value_type

the array's value type

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, NumpyArray< N, T, Stride >, Matrix< T, ALLOC >, and Matrix< T >.

typedef value_type& reference

reference type (result of operator[])

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, NumpyArray< N, T, Stride >, Matrix< T, ALLOC >, and Matrix< T >.

typedef const value_type& const_reference

const reference type (result of operator[] const)

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, NumpyArray< N, T, Stride >, Matrix< T, ALLOC >, and Matrix< T >.

typedef value_type* pointer

pointer type

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, NumpyArray< N, T, Stride >, Matrix< T, ALLOC >, and Matrix< T >.

typedef const value_type* const_pointer

const pointer type

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, NumpyArray< N, T, Stride >, Matrix< T, ALLOC >, and Matrix< T >.

typedef MultiArrayShape<actual_dimension>::type difference_type

difference type (used for multi-dimensional offsets and indices)

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, NumpyArray< N, T, Stride >, Matrix< T, ALLOC >, and Matrix< T >.

typedef difference_type size_type

size type

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, and NumpyArray< N, T, Stride >.

typedef MultiArrayIndex difference_type_1

difference and index type for a single dimension

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, NumpyArray< N, T, Stride >, Matrix< T, ALLOC >, and Matrix< T >.

typedef StridedScanOrderIterator<actual_dimension, T, T &, T *> iterator

scan-order iterator (StridedScanOrderIterator) type

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, and NumpyArray< N, T, Stride >.

typedef StridedScanOrderIterator<actual_dimension, T, T const &, T const *> const_iterator

const scan-order iterator (StridedScanOrderIterator) type

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, and NumpyArray< N, T, Stride >.

typedef vigra::detail::MultiIteratorChooser< StrideTag>::template Traverser<actual_dimension, T, T &, T *>::type traverser

traverser (MultiIterator) type

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, and NumpyArray< N, T, Stride >.

typedef vigra::detail::MultiIteratorChooser< StrideTag>::template Traverser<actual_dimension, T, T const &, T const *>::type const_traverser

const traverser (MultiIterator) type

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, and NumpyArray< N, T, Stride >.

typedef MultiArrayView<N, T, StrideTag> view_type

the view type associated with this array.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, NumpyArray< N, T, Stride >, Matrix< T, ALLOC >, and Matrix< T >.

typedef MultiArray<N, T> matrix_type

the matrix type associated with this array.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, Matrix< T, ALLOC >, and Matrix< T >.

## Member Enumeration Documentation

enum ActualDimension

the array's actual dimensionality. This ensures that MultiArrayView can also be used for scalars (that is, when `N == 0`). Calculated as:

                actual_dimension = (N==0) ? 1 : N

## Constructor & Destructor Documentation

MultiArrayView | ( |  | ) |

default constructor: create an invalid view, i.e. hasData() returns false and size() is zero.

MultiArrayView | ( | const difference_type & | shape,
|  | pointer | ptr
| ) |  |

construct from shape and pointer

MultiArrayView | ( | const difference_type & | shape,
|  | const difference_type & | stride,
|  | pointer | ptr
| ) |  |

Construct from shape, strides (offset of a sample to the next) for every dimension, and pointer. (Note that strides are not given in bytes, but in offset steps of the respective pointer type.)

## Member Function Documentation

operator MultiArrayView< N, T, StridedArrayTag > | ( |  | ) | const

Conversion to a strided view.

MultiArrayView< N, T, StrideTag > & operator= | ( | MultiArrayView< N, T, StrideTag > const & | rhs | ) |

Assignment. There are 3 cases:

- When this `MultiArrayView` does not point to valid data (e.g. after default construction), it becomes a copy of rhs.
- When the shapes of the two arrays match, the array contents are copied.
- Otherwise, a `PreconditionViolation` exception is thrown.

MultiArrayView& operator= | ( | MultiArrayView< N, U, C1 > const & | rhs | ) |

Assignment of a differently typed MultiArrayView. Fails with `PreconditionViolation` exception when the shapes do not match.

MultiArrayView& operator= | ( | value_type const & | v | ) |

Assignment of a scalar. Equivalent to MultiArrayView::init(v).

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, and Matrix< T >.

MultiArrayView& operator+= | ( | MultiArrayView< N, U, C1 > const & | rhs | ) |

Add-assignment of a compatible MultiArrayView. Fails with `PreconditionViolation` exception when the shapes do not match.

MultiArrayView& operator-= | ( | MultiArrayView< N, U, C1 > const & | rhs | ) |

Subtract-assignment of a compatible MultiArrayView. Fails with `PreconditionViolation` exception when the shapes do not match.

MultiArrayView& operator*= | ( | MultiArrayView< N, U, C1 > const & | rhs | ) |

Multiply-assignment of a compatible MultiArrayView. Fails with `PreconditionViolation` exception when the shapes do not match.

MultiArrayView& operator/= | ( | MultiArrayView< N, U, C1 > const & | rhs | ) |

Divide-assignment of a compatible MultiArrayView. Fails with `PreconditionViolation` exception when the shapes do not match.

MultiArrayView& operator+= | ( | T const & | rhs | ) |

Add-assignment of a scalar.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

MultiArrayView& operator-= | ( | T const & | rhs | ) |

Subtract-assignment of a scalar.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

MultiArrayView& operator*= | ( | T const & | rhs | ) |

Multiply-assignment of a scalar.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

MultiArrayView& operator/= | ( | T const & | rhs | ) |

Divide-assignment of a scalar.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

MultiArrayView& operator= | ( | multi_math::MultiMathOperand< Expression > const & | rhs | ) |

Assignment of an array expression. Fails with `PreconditionViolation` exception when the shapes do not match.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

MultiArrayView& operator+= | ( | multi_math::MultiMathOperand< Expression > const & | rhs | ) |

Add-assignment of an array expression. Fails with `PreconditionViolation` exception when the shapes do not match.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

MultiArrayView& operator-= | ( | multi_math::MultiMathOperand< Expression > const & | rhs | ) |

Subtract-assignment of an array expression. Fails with `PreconditionViolation` exception when the shapes do not match.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

MultiArrayView& operator*= | ( | multi_math::MultiMathOperand< Expression > const & | rhs | ) |

Multiply-assignment of an array expression. Fails with `PreconditionViolation` exception when the shapes do not match.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

MultiArrayView& operator/= | ( | multi_math::MultiMathOperand< Expression > const & | rhs | ) |

Divide-assignment of an array expression. Fails with `PreconditionViolation` exception when the shapes do not match.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

reference operator[] | ( | const difference_type & | d | ) |

array access.

const_reference operator[] | ( | const difference_type & | d | ) | const

array access.

MultiArrayView<N-M, T, StridedArrayTag> operator[] | ( | const TinyVector< MultiArrayIndex, M > & | d | ) | const

equivalent to bindInner(), when M < N.

reference operator[] | ( | difference_type_1 | d | ) |

Array access in scan-order sense. Mostly useful to support standard indexing for 1-dimensional multi-arrays, but works for any N. Use scanOrderIndexToCoordinate() and coordinateToScanOrderIndex() for conversion between indices and coordinates.

Note: This function should not be used in the inner loop, because the conversion of the scan order index into a memory address is expensive (it must take into account that memory may not be consecutive for subarrays and/or strided arrays). Always prefer operator() if possible.

const_reference operator[] | ( | difference_type_1 | d | ) | const

Array access in scan-order sense. Mostly useful to support standard indexing for 1-dimensional multi-arrays, but works for any N. Use scanOrderIndexToCoordinate() and coordinateToScanOrderIndex() for conversion between indices and coordinates.

Note: This function should not be used in the inner loop, because the conversion of the scan order index into a memory address is expensive (it must take into account that memory may not be consecutive for subarrays and/or strided arrays). Always prefer operator() if possible.

difference_type scanOrderIndexToCoordinate | ( | difference_type_1 | d | ) | const

convert scan-order index to coordinate.

difference_type_1 coordinateToScanOrderIndex | ( | const difference_type & | d | ) | const

convert coordinate to scan-order index.

reference operator() | ( | difference_type_1 | x | ) |

1D array access. Use only if N == 1.

reference operator() | ( | difference_type_1 | x,
|  | difference_type_1 | y
| ) |  |

2D array access. Use only if N == 2.

Reimplemented in Matrix< T, ALLOC >, and Matrix< T >.

reference operator() | ( | difference_type_1 | x,
|  | difference_type_1 | y,
|  | difference_type_1 | z
| ) |  |

3D array access. Use only if N == 3.

reference operator() | ( | difference_type_1 | x,
|  | difference_type_1 | y,
|  | difference_type_1 | z,
|  | difference_type_1 | u
| ) |  |

4D array access. Use only if N == 4.

reference operator() | ( | difference_type_1 | x,
|  | difference_type_1 | y,
|  | difference_type_1 | z,
|  | difference_type_1 | u,
|  | difference_type_1 | v
| ) |  |

5D array access. Use only if N == 5.

const_reference operator() | ( | difference_type_1 | x | ) | const

1D const array access. Use only if N == 1.

const_reference operator() | ( | difference_type_1 | x,
|  | difference_type_1 | y
| ) |  | const

2D const array access. Use only if N == 2.

Reimplemented in Matrix< T, ALLOC >, and Matrix< T >.

const_reference operator() | ( | difference_type_1 | x,
|  | difference_type_1 | y,
|  | difference_type_1 | z
| ) |  | const

3D const array access. Use only if N == 3.

const_reference operator() | ( | difference_type_1 | x,
|  | difference_type_1 | y,
|  | difference_type_1 | z,
|  | difference_type_1 | u
| ) |  | const

4D const array access. Use only if N == 4.

const_reference operator() | ( | difference_type_1 | x,
|  | difference_type_1 | y,
|  | difference_type_1 | z,
|  | difference_type_1 | u,
|  | difference_type_1 | v
| ) |  | const

5D const array access. Use only if N == 5.

MultiArrayView& init | ( | const U & | init | ) |

Init with a constant.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, MultiArray< 2, T >, Matrix< T, ALLOC >, and Matrix< T >.

void copy | ( | const MultiArrayView< N, T, StrideTag > & | rhs | ) |

Copy the data of the right-hand array (array shapes must match).

void copy | ( | const MultiArrayView< N, U, CN > & | rhs | ) |

Copy the data of the right-hand array (array shapes must match).

void swapData | ( | MultiArrayView< N, T, StrideTag > | rhs | ) |

swap the data between two MultiArrayView objects.

The shapes of the two array must match.

void swapData | ( | MultiArrayView< N, T2, C2 > | rhs | ) |

swap the data between two MultiArrayView objects.

The shapes of the two array must match.

bool isUnstrided | ( | unsigned int | dimension = `N-1` | ) | const

check whether the array is unstrided (i.e. has consecutive memory) up to the given dimension.

dimension can range from 0 ... N-1. If a certain dimension is unstrided, all lower dimensions are also unstrided.

MultiArrayView< N-M, T, StrideTag > bindOuter | ( | const TinyVector< Index, M > & | d | ) | const

bind the M outmost dimensions to certain indices. this reduces the dimensionality of the image to max { 1, N-M }.

Usage:

                // create a 3D array of size 40x30x20
                typedef MultiArray<3, double>::difference_type Shape;
                MultiArray<3, double> array3(Shape(40, 30, 20));

                // get a 1D array by fixing index 1 to 12, and index 2 to 10
                MultiArrayView <1, double> array1 = array3.bindOuter(TinyVector<MultiArrayIndex, 2>(12, 10));

MultiArrayView< N-M, T, StridedArrayTag > bindInner | ( | const TinyVector< Index, M > & | d | ) | const

bind the M innermost dimensions to certain indices. this reduces the dimensionality of the image to max { 1, N-M }.

Usage:

                // create a 3D array of size 40x30x20
                typedef MultiArray<3, double>::difference_type Shape;
                MultiArray<3, double> array3(Shape(40, 30, 20));

                // get a 1D array by fixing index 0 to 12, and index 1 to 10
                MultiArrayView <1, double, StridedArrayTag> array1 = array3.bindInner(TinyVector<MultiArrayIndex, 2>(12, 10));

MultiArrayView< N-1, T, typename detail::MaybeStrided< StrideTag, M >::type > bind | ( | difference_type_1 | d | ) | const

bind dimension M to index d. this reduces the dimensionality of the image to max { 1, N-1 }.

Usage:

                // create a 3D array of size 40x30x20
                typedef MultiArray<3, double>::difference_type Shape;
                MultiArray<3, double> array3(Shape(40, 30, 20));

                // get a 2D array by fixing index 1 to 12
                MultiArrayView <2, double> array2 = array3.bind<1>(12);

                // get a 2D array by fixing index 0 to 23
                MultiArrayView <2, double, StridedArrayTag> array2a = array3.bind<0>(23);

MultiArrayView< N-1, T, StrideTag > bindOuter | ( | difference_type_1 | d | ) | const

bind the outmost dimension to a certain index. this reduces the dimensionality of the image to max { 1, N-1 }.

Usage:

                // create a 3D array of size 40x30x20
                typedef MultiArray<3, double>::difference_type Shape;
                MultiArray<3, double> array3(Shape(40, 30, 20));

                // get a 2D array by fixing the outermost index (i.e. index 2) to 12
                MultiArrayView <2, double> array2 = array3.bindOuter(12);

MultiArrayView< N-1, T, StridedArrayTag > bindInner | ( | difference_type_1 | d | ) | const

bind the innermost dimension to a certain index. this reduces the dimensionality of the image to max { 1, N-1 }.

Usage:

                // create a 3D array of size 40x30x20
                typedef MultiArray<3, double>::difference_type Shape;
                MultiArray<3, double> array3(Shape(40, 30, 20));

                // get a 2D array by fixing the innermost index (i.e. index 0) to 23
                MultiArrayView <2, double, StridedArrayTag> array2 = array3.bindInner(23);

MultiArrayView< N-1, T, StridedArrayTag > bindAt | ( | difference_type_1 | m,
|  | difference_type_1 | d
| ) |  | const

bind dimension m to index d. this reduces the dimensionality of the image to max { 1, N-1 }.

Usage:

                // create a 3D array of size 40x30x20
                typedef MultiArray<3, double>::difference_type Shape;
                MultiArray<3, double> array3(Shape(40, 30, 20));

                // get a 2D array by fixing index 2 to 15
                MultiArrayView <2, double, StridedArrayTag> array2 = array3.bindAt(2, 15);

MultiArrayView<N, typename ExpandElementResult<T>::type, StridedArrayTag> bindElementChannel | ( | difference_type_1 | i | ) | const

Create a view to channel 'i' of a vector-like value type. Possible value types (of the original array) are: TinyVector, RGBValue, FFTWComplex, and `std::complex`. The list can be extended to any type whose memory layout is equivalent to a fixed-size C array, by specializing `ExpandElementResult`.

Usage:

                    MultiArray<2, RGBValue<float> > rgb_image(Shape2(w, h));

                    MultiArrayView<2, float, StridedArrayTag> red   = rgb_image.bindElementChannel(0);
                    MultiArrayView<2, float, StridedArrayTag> green = rgb_image.bindElementChannel(1);
                    MultiArrayView<2, float, StridedArrayTag> blue  = rgb_image.bindElementChannel(2);

MultiArrayView< N+1, typename ExpandElementResult< T >::type, StridedArrayTag > expandElements | ( | difference_type_1 | d | ) | const

Create a view where a vector-like element type is expanded into a new array dimension. The new dimension is inserted at index position 'd', which must be between 0 and N inclusive.

Possible value types of the original array are: TinyVector, RGBValue, FFTWComplex, `std::complex`, and the built-in number types (in this case, `expandElements` is equivalent to `insertSingletonDimension`). The list of supported types can be extended to any type whose memory layout is equivalent to a fixed-size C array, by specializing `ExpandElementResult`.

Usage:

                    MultiArray<2, RGBValue<float> > rgb_image(Shape2(w, h));

                    MultiArrayView<3, float, StridedArrayTag> multiband_image = rgb_image.expandElements(2);

MultiArrayView< N+1, T, StrideTag > insertSingletonDimension | ( | difference_type_1 | i | ) | const

Add a singleton dimension (dimension of length 1).

Singleton dimensions don't change the size of the data, but introduce a new index that can only take the value 0. This is mainly useful for the 'reduce mode' of transformMultiArray() and combineTwoMultiArrays(), because these functions require the source and destination arrays to have the same number of dimensions.

The range of i must be `0 <= i <= N`. The new dimension will become the i'th index, and the old indices from i upwards will shift one place to the right.

Usage:

Suppose we want have a 2D array and want to create a 1D array that contains the row average of the first array.

                typedef MultiArrayShape<2>::type Shape2;
                MultiArray<2, double> original(Shape2(40, 30));

                typedef MultiArrayShape<1>::type Shape1;
                MultiArray<1, double> rowAverages(Shape1(30));

                // temporarily add a singleton dimension to the destination array
                transformMultiArray(srcMultiArrayRange(original),
                                    destMultiArrayRange(rowAverages.insertSingletonDimension(0)),
                                    FindAverage<double>());

MultiArrayView<1, T, StridedArrayTag> diagonal | ( |  | ) | const

Create a view to the diagonal elements of the array.

This produces a 1D array view whose size equals the size of the shortest dimension of the original array.

Usage:

                // create a 3D array of size 40x30x20
                typedef MultiArray<3, double>::difference_type Shape;
                MultiArray<3, double> array3(Shape(40, 30, 20));

                // get a view to the diagonal elements
                MultiArrayView <1, double, StridedArrayTag> diagonal = array3.diagonal();
                assert(diagonal.shape(0) == 20);

MultiArrayView subarray | ( | const difference_type & | p,
|  | const difference_type & | q
| ) |  | const

create a rectangular subarray that spans between the points p and q, where p is in the subarray, q not.

Usage:

                // create a 3D array of size 40x30x20
                typedef MultiArray<3, double>::difference_type Shape;
                MultiArray<3, double> array3(Shape(40, 30, 20));

                // get a subarray set is smaller by one element at all sides
                MultiArrayView <3, double> subarray = array3.subarray(Shape(1,1,1), Shape(39, 29, 19));

MultiArrayView<N, T, StridedArrayTag> stridearray | ( | const difference_type & | s | ) | const

apply an additional striding to the image, thereby reducing the shape of the array. for example, multiplying the stride of dimension one by three turns an appropriately laid out (interleaved) rgb image into a single band image.

MultiArrayView<N, T, StridedArrayTag> transpose | ( |  | ) | const

Transpose an array. If N==2, this implements the usual matrix transposition. For N > 2, it reverses the order of the indices.

Usage:

                typedef MultiArray<2, double>::difference_type Shape;
                MultiArray<2, double> array(10, 20);

                MultiArray<2, double, StridedArrayTag> transposed = array.transpose();

                for(int i=0; i<array.shape(0), ++i)
                    for(int j=0; j<array.shape(1); ++j)
                        assert(array(i, j) == transposed(j, i));

Reimplemented in Matrix< T, ALLOC >, and Matrix< T >.

MultiArrayView< N, T, StridedArrayTag > permuteDimensions | ( | const difference_type & | s | ) | const

permute the dimensions of the array. The function exchanges the meaning of the dimensions without copying the data. In case of a 2-dimensional array, this is simply array transposition. In higher dimensions, there are more possibilities.

Usage:

                typedef MultiArray<2, double>::difference_type Shape;
                MultiArray<2, double> array(10, 20);

                MultiArray<2, double, StridedArrayTag> transposed = array.permuteDimensions(Shape(1,0));

                for(int i=0; i<array.shape(0), ++i)
                    for(int j=0; j<array.shape(1); ++j)
                        assert(array(i, j) == transposed(j, i));

MultiArrayView< N, T, StridedArrayTag > permuteStridesAscending | ( |  | ) | const

Permute the dimensions of the array so that the strides are in ascending order. Determines the appropriate permutation and then calls permuteDimensions().

MultiArrayView< N, T, StridedArrayTag > permuteStridesDescending | ( |  | ) | const

Permute the dimensions of the array so that the strides are in descending order. Determines the appropriate permutation and then calls permuteDimensions().

difference_type strideOrdering | ( |  | ) | const

Compute the ordering of the strides in this array. The result is describes the current permutation of the axes relative to the standard ascending stride order.

MultiArrayView< N, T, StrideTag >::difference_type strideOrdering | ( | difference_type | strides | ) | `[static]`

Compute the ordering of the given strides. The result is describes the current permutation of the axes relative to the standard ascending stride order.

difference_type_1 elementCount | ( |  | ) | const

number of the elements in the array.

Reimplemented in Matrix< T, ALLOC >, and Matrix< T >.

difference_type_1 size | ( |  | ) | const

number of the elements in the array. Same as `elementCount()`. Mostly useful to support the std::vector interface.

const difference_type& shape | ( |  | ) | const

return the array's shape.

difference_type_1 size | ( | difference_type_1 | n | ) | const

return the array's size at a certain dimension.

difference_type_1 shape | ( | difference_type_1 | n | ) | const

return the array's shape at a certain dimension (same as `size(n)`).

const difference_type& stride | ( |  | ) | const

return the array's stride for every dimension.

difference_type_1 stride | ( | int | n | ) | const

return the array's stride at a certain dimension.

bool operator== | ( | MultiArrayView< N, U, C1 > const & | rhs | ) | const

check whether two arrays are elementwise equal.

bool operator!= | ( | MultiArrayView< N, U, C1 > const & | rhs | ) | const

check whether two arrays are not elementwise equal. Also true when the two arrays have different shapes.

bool isInside | ( | difference_type const & | p | ) | const

check whether the given point is in the array range.

bool all | ( |  | ) | const

Check if the array contains only non-zero elements (or if all elements are 'true' if the value type is 'bool').

bool any | ( |  | ) | const

Check if the array contains a non-zero element (or an element that is 'true' if the value type is 'bool').

void minmax | ( | T * | minimum,
|  | T * | maximum
| ) |  | const

Find the minimum and maximum element in this array. See Feature Accumulators for a general feature extraction framework.

void meanVariance | ( | U * | mean,
|  | U * | variance
| ) |  | const

Compute the mean and variance of the values in this array. See Feature Accumulators for a general feature extraction framework.

U sum | ( |  | ) | const

Compute the sum of the array elements.

You must provide the type of the result by an explicit template parameter:

                MultiArray<2, UInt8> A(width, height);

                double sum = A.sum<double>();

Reimplemented in Matrix< T, ALLOC >, and Matrix< T >.

void sum | ( | MultiArrayView< N, U, S > | sums | ) | const

Compute the sum of the array elements over selected axes.

- sums must have the same shape as this array, except for the axes along which the sum is to be accumulated. These axes must be singletons. Note that you must include `multi_pointoperators.hxx` for this function to work.

Usage:

                #include <vigra/multi_array.hxx>
                #include <vigra/multi_pointoperators.hxx>

                MultiArray<2, double> A(rows, cols);
                ... // fill A

                // make the first axis a singleton to sum over the first index
                MultiArray<2, double> rowSums(1, cols);
                A.sum(rowSums);

                // this is equivalent to
                transformMultiArray(srcMultiArrayRange(A),
                                    destMultiArrayRange(rowSums),
                                    FindSum<double>());

U product | ( |  | ) | const

Compute the product of the array elements.

You must provide the type of the result by an explicit template parameter:

                MultiArray<2, UInt8> A(width, height);

                double prod = A.product<double>();

NormTraits<MultiArrayView>::SquaredNormType squaredNorm | ( |  | ) | const

Compute the squared Euclidean norm of the array (sum of squares of the array elements).

Reimplemented in Matrix< T, ALLOC >, and Matrix< T >.

NormTraits< MultiArrayView< N, T, StrideTag > >::NormType norm | ( | int | type = `2`,
|  | bool | useSquaredNorm = `true`
| ) |  | const

Compute various norms of the array. The norm is determined by parameter type:

- type == 0: maximum norm (L-infinity): maximum of absolute values of the array elements
- type == 1: Manhattan norm (L1): sum of absolute values of the array elements
- type == 2: Euclidean norm (L2): square root of `squaredNorm()` when useSquaredNorm is `true`,
  or direct algorithm that avoids underflow/overflow otherwise.

Parameter useSquaredNorm has no effect when type != 2. Defaults: compute L2 norm as square root of `squaredNorm()`.

pointer data | ( |  | ) | const

return the pointer to the image data

bool hasData | ( |  | ) | const

returns true iff this view refers to valid data, i.e. data() is not a NULL pointer. (this is false after default construction.)

iterator begin | ( |  | ) |

returns a scan-order iterator pointing to the first array element.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

const_iterator begin | ( |  | ) | const

returns a const scan-order iterator pointing to the first array element.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

iterator end | ( |  | ) |

returns a scan-order iterator pointing beyond the last array element.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

const_iterator end | ( |  | ) | const

returns a const scan-order iterator pointing beyond the last array element.

Reimplemented in MultiArray< N, T, A >, MultiArray< 2, T, ALLOC >, MultiArray< 2, int >, MultiArray< 1, double >, MultiArray< 2, LabelInt >, MultiArray< 2, double >, MultiArray< 4, double >, MultiArray< N, Complex, FFTWAllocator< Complex > >, MultiArray< 2, T, std::allocator< T > >, and MultiArray< 2, T >.

traverser traverser_begin | ( |  | ) |

returns the N-dimensional MultiIterator pointing to the first element in every dimension.

const_traverser traverser_begin | ( |  | ) | const

returns the N-dimensional MultiIterator pointing to the const first element in every dimension.

traverser traverser_end | ( |  | ) |

returns the N-dimensional MultiIterator pointing beyond the last element in dimension N, and to the first element in every other dimension.

const_traverser traverser_end | ( |  | ) | const

returns the N-dimensional const MultiIterator pointing beyond the last element in dimension N, and to the first element in every other dimension.

## Member Data Documentation

difference_type m_shape`[protected]`

the shape of the image pointed to is stored here.

difference_type m_stride`[protected]`

the strides (offset of a sample to the next) for every dimension are stored here.

pointer m_ptr`[protected]`

pointer to the image.

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

- vigra/multi_array.hxx

© Ullrich Köthe (ullrich.koethe@iwr.uni-heidelberg.de) Heidelberg Collaboratory for Image Processing, University of Heidelberg, Germany | html generated using doxygen and Python vigra 1.9.0 (Tue Nov 6 2012)