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TooN 2.1
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A vector. More...
#include <TooN/toon.h>
Public Types | |
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typedef Base::template VLayout < Size, Precision > ::PointerType | PointerType |
Public Member Functions | |
Constructors | |
| Vector () | |
| Vector (int size_in) | |
| Vector (PointerType data) | |
| Vector (PointerType data, int size_in) | |
| Vector (PointerType data_in, int size_in, int stride_in, Internal::Slicing) | |
| template<class Op > | |
| Vector (const Operator< Op > &op) | |
| template<int Size2, typename Precision2 , typename Base2 > | |
| Vector (const Vector< Size2, Precision2, Base2 > &from) | |
Accessing elements | |
| Precision & | operator[] (int i) |
| const Precision & | operator[] (int i) const |
Assignment | |
| Vector & | operator= (const Vector &from) |
| template<int Size2, typename Precision2 , typename Base2 > | |
| Vector< Size, Precision, Base > & | operator= (const Vector< Size2, Precision2, Base2 > &from) |
| template<class Op > | |
| Vector & | operator= (const Operator< Op > &op) |
Operators on the vector | |
| Vector & | operator/= (const Precision rhs) |
| Vector & | operator*= (const Precision rhs) |
| template<int Size2, class Precision2 , class Base2 > | |
| Vector & | operator+= (const Vector< Size2, Precision2, Base2 > &rhs) |
| template<class Op > | |
| Vector & | operator+= (const Operator< Op > &op) |
| template<class Op > | |
| Vector & | operator-= (const Operator< Op > &op) |
| template<int Size2, class Precision2 , class Base2 > | |
| Vector & | operator-= (const Vector< Size2, Precision2, Base2 > &rhs) |
Comparison | |
| template<int Size2, class Precision2 , class Base2 > | |
| bool | operator== (const Vector< Size2, Precision2, Base2 > &rhs) const |
| template<int Size2, class Precision2 , class Base2 > | |
| bool | operator!= (const Vector< Size2, Precision2, Base2 > &rhs) const |
| template<class Op > | |
| bool | operator!= (const Operator< Op > &op) |
Misc | |
| Vector & | ref () |
| int | size () const |
| void | resize (int s) |
| Precision * | get_data_ptr () |
Reshaping, sub-vectors and matrices | |
| Matrix< 1, Size, Precision > | as_row () |
| Matrix< Size, 1, Precision > | as_col () |
| DiagonalMatrix< Size, Precision > | as_diagonal () |
| template<Start , Length > | |
| const Vector< Length, Precision > & | slice () const |
| template<Start , Length > | |
| Vector< Length, Precision > & | slice () |
| template<Start , Length > | |
| const Vector< Length, Precision > & | slice () const |
| template<Start , Length > | |
| Vector< Length, Precision > & | slice () |
Static Public Attributes | |
| static const int | SizeParameter = Size |
A vector.
Support is provided for all the usual vector operations:
See individual member function documentation for examples of usage.
The library provides classes for both statically- and dynamically-sized vectors. If you know what dimension of vector you're going to use (e.g. 3 to represent a point in 3D space), it's more efficient to statically sized vectors. The size of static vectors is determined at compile time; that of dynamically-sized vectors at run-time.
To create a 3-dimensional vector, use:
Vector<3> v;
and to create a vector of some other dimensionality just replace 3 with the positive integer of your choice, or some expression which the compiler can evaluate to an integer at compile time.
The preferred way of initialising a vector is to use makeVector. The makeVector function constructs a static vector initialised to the size and the contents of the comma-separated list of argments. The makeVector vectors are real Vectors and so can be used anywhere where a vector is needed, not just in initialisations. For example
// Create a vector initialised to [1 2 3]; Vector<3> v = makeVector(1, 2, 3); // Calculate the dot product with the vector [4 0 6] double dot = v * makeVector(4, 0, 6);
Because the make_Vector syntax creates actual vectors, compile-time checking is done to ensure that all vectors defined in this way have the correct number of elements.
To create a dynamically sized vector, use:
Vector<> v(size);
where size is an integer which will be evaluated at run time.
Vector<> is actually a synonym for Vector<Dynamic> which is Vector<-1> being a template specialisation of Vector<N> with a special implementation that allows the size to be determined at runtime.
This library makes no distinction between row vectors and column vectors. Vectors that appear on the left of a multiplication are treated as row vectors while those that appear on the right are treated as column vectors (thus v1*v2 means the dot product). This means that sometimes you have to be careful to include prarentheses since it is possible to write obscure stuff like
Vector<4> v4 = v1 * v2 * v3;
which in the absence of any extra parentheses means 'compute the dot product between v1 and v2 and then multiply v3 by this scalar and assign to v4'.
If the row-column distinction is important, then vectors can be turned into matrices with one row or column by using as_row() or as_col():
double d[3] = {1,2,3}; Vector<3> v(d); Matrix<3,3> M = v.as_col() * v.as_row(); // creates a symmetric rank 1 matrix from v
| Vector | ( | ) |
Default constructor for vectors.
For fixed-sized vectors, this does nothing, i.e. does not guarantee to initialise the vector to any particular values. For dynamically sized vectors, this sets the vector to have a length of 0 which renders the vector useless because vectors can't be resized
| Vector | ( | int | size_in | ) | [explicit] |
Constructor for dynamically-size vectors.
This can also be used for statically sized vectors in which case the argument is ignored. The values of the vector are uninitialised
| Vector | ( | PointerType | data | ) | [explicit] |
Constructor used when constructing a vector which references other data, e.g.
double[] d = {1,2,3};
Vector<3,double,Reference> v(d);
| Vector | ( | PointerType | data, |
| int | size_in | ||
| ) |
Constructor used when constructing a dynamic vector which references other data, e.g.
double[] d = {1,2,3};
Vector<Dynamic,double,Reference> v(d,3);
construction from Operator object
This is used to implement return value optimisation for vectors created from the product of a matrix and a vector, or another object like Ones
| Precision& operator[] | ( | int | i | ) |
access an element of the vector
can be used as an l-value ie
Vector<3> v; v[0] = 10;
operator = from copy A size mismatch is a fatal error, unless the destination is resizable.
Referenced by Vector< Vertices, Precision >::Vector().
operator = another Vector A size mismatch is a fatal error, unless the destination is resizable.
assignment from an Operator object Assignment from sized operators causes a resize of Resizable Vectors.
Assignment from unsized operators dows not.
| void resize | ( | int | s | ) |
Resize the vector.
This is only provided if the vector is declared as Resizable. Existing elements are retained, new elements are uninitialized. Resizing has the same efficiency guarantees as std::vector.
| s | The new size. |
| Precision* get_data_ptr | ( | ) |
Return a pointer to the first element of the vector.
This method is only provided for non-slice vectors, i.e. a subset of the cases where the memory is guaranteed to be contiguous.
| Matrix<1, Size, Precision> as_row | ( | ) |
Convert this vector into a 1-by-Size matrix, i.e.
a matrix which has this vector as its only row.
Vector<3> a = makeVector(1,2,3);
Matrix<1,3> m = a.as_row(); // now m = [1 2 3]
| Matrix<Size, 1, Precision> as_col | ( | ) |
Convert this vector into a Size-by-1 matrix, i.e.
a matrix which has this vector as its only column.
Vector<3> a = makeVector(1,2,3);
Matrix<3,1> m = a.as_col(); // now m = [1 2 3]'
| DiagonalMatrix<Size,Precision> as_diagonal | ( | ) |
Convert this vector into a Diagonal Size-by-Size matrix, i.e.
a matrix which is zero everywhere except on the diagonal and the diagonal contains the values from this vector
Vector<3> v = makeVector(1,2,3);
Vector<3> v2 = makeVector(2,3,4);
Vector<3> v3 = v.as_diagonal() * v2; // now v3 = (2,6,12)
| const Vector<Length,Precision>& slice | ( | ) | const |
Extract a sub-vector.
The vector extracted will be begin at element Start and will contain the next Length elements.
Vector<5> a = makeVector(1,2,3,4,5);
Extract the three elements starting from element 2
Vector<3> b = a.slice<2,3>(); /// b = [3 4 5]
Referenced by WLS< Size, Precision >::add_sparse_mJ_rows().
| Vector<Length,Precision>& slice | ( | ) |
Extract a sub-vector.
The vector extracted will be begin at element Start and will contain the next Length elements. This version can be used as an l-value as well as an r-value
Vector<5> a = makeVector(1,2,3,4,5);
Vector<2> b = makeVector(8,9);
// replace the two elements starting from element 1 with b
a.slice<1, 2>() = b; /// now a = [1 8 9 4 5]
| const Vector<Length,Precision>& slice | ( | ) | const |
Extract a sub-vector with runtime parameters.
The vector extracted will be begin at element start and will contain the next length elements.
Vector<5> a = makeVector(1,2,3,4,5);
Extract the three elements starting from element 2
Vector<> b = a.slice(2,3); /// b = [3 4 5]
| Vector<Length,Precision>& slice | ( | ) |
Extract a sub-vector with runtime parameters, which can be used as an l-value.
The vector extracted will be begin at element start and will contain the next length elements.
Vector<5> a = makeVector(1,2,3,4,5);
Extract the three elements starting from element 2
a.slice(2,3)[0] = 17; /// a -> [1 2 17 4 5]
const int SizeParameter = Size [static] |
Value of template Size parameter.
Used by internal classes to reduce parameter list sizes.
1.7.4