C-XSC - A C++ Class Library for Extended Scientific Computing
2.5.4
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Helper class for slices of sparse vectors. More...
#include <sivector.hpp>
Public Member Functions | |
real | density () const |
Returns the density of the vector slice (the number of non zero elements divided by the number of elements) | |
int | get_nnz () const |
Returns the number of non zero elements of this vector slice (note that this includes explicitly stored zeros) | |
sivector_slice & | operator&= (const ivector &v) |
Operator for element-wise intersection with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator&= (const ivector_slice &v) |
Operator for element-wise intersection with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator&= (const sivector &v) |
Operator for element-wise intersection with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator&= (const sivector_slice &v) |
Operator for element-wise intersection with a vector, result is assigned to the vector slice. | |
const interval | operator() (const int i) const |
Returns a copy of the i-th (according to the currently used indexing) element of the vector slice. | |
sivector_slice & | operator*= (const real &s) |
Operator for multiplication with a scalar, result is assigned to the vector slice. | |
sivector_slice & | operator*= (const interval &s) |
Operator for multiplication with an interval, result is assigned to the vector slice. | |
sivector_slice & | operator+= (const rvector &v) |
Operator for element-wise addition with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator+= (const ivector &v) |
Operator for element-wise addition with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator+= (const rvector_slice &v) |
Operator for element-wise addition with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator+= (const ivector_slice &v) |
Operator for element-wise addition with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator+= (const srvector &v) |
Operator for element-wise addition with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator+= (const sivector &v) |
Operator for element-wise addition with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator+= (const srvector_slice &v) |
Operator for element-wise addition with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator+= (const sivector_slice &v) |
Operator for element-wise addition with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator-= (const rvector &v) |
Operator for element-wise subtraction with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator-= (const ivector &v) |
Operator for element-wise subtraction with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator-= (const rvector_slice &v) |
Operator for element-wise subtraction with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator-= (const ivector_slice &v) |
Operator for element-wise subtraction with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator-= (const srvector &v) |
Operator for element-wise subtraction with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator-= (const sivector &v) |
Operator for element-wise subtraction with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator-= (const srvector_slice &v) |
Operator for element-wise subtraction with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator-= (const sivector_slice &v) |
Operator for element-wise subtraction with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator/= (const real &s) |
Operator for division of each element of the vector slice with a scalar, result is assigned to the vector slice. | |
sivector_slice & | operator/= (const interval &s) |
Operator for division of each element of the vector slice with an interval, result is assigned to the vector slice. | |
sivector_slice & | operator= (const real &v) |
Assigns v to all elements of the vector slice. | |
sivector_slice & | operator= (const interval &v) |
Assigns v to all elements of the vector slice. | |
sivector_slice & | operator= (const srvector_slice &v) |
Overwrite the vector slice with the elements of v. | |
sivector_slice & | operator= (const sivector_slice &v) |
Overwrite the vector slice with the elements of v. | |
sivector_slice & | operator= (const srvector &v) |
Overwrite the vector slice with the elements of v. | |
sivector_slice & | operator= (const sivector &v) |
Overwrite the vector slice with the elements of v. | |
sivector_slice & | operator= (const rvector &v) |
Overwrite the vector slice with the elements of v. | |
sivector_slice & | operator= (const ivector &v) |
Overwrite the vector slice with the elements of v. | |
sivector_slice & | operator= (const rvector_slice &v) |
Overwrite the vector slice with the elements of v. | |
sivector_slice & | operator= (const ivector_slice &v) |
Overwrite the vector slice with the elements of v. | |
interval & | operator[] (const int i) |
Returns a reference to the i-th (according to the currently used indexing) element of the vector slice. | |
interval | operator[] (const int i) const |
Returns a copy of the i-th (according to the currently used indexing) element of the vector slice. | |
sivector_slice & | operator|= (const rvector &v) |
Operator for element-wise convex hull with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator|= (const ivector &v) |
Operator for element-wise convex hull with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator|= (const rvector_slice &v) |
Operator for element-wise convex hull with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator|= (const ivector_slice &v) |
Operator for element-wise convex hull with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator|= (const srvector &v) |
Operator for element-wise convex hull with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator|= (const sivector &v) |
Operator for element-wise convex hull with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator|= (const srvector_slice &v) |
Operator for element-wise convex hull with a vector, result is assigned to the vector slice. | |
sivector_slice & | operator|= (const sivector_slice &v) |
Operator for element-wise convex hull with a vector, result is assigned to the vector slice. | |
Friends | |
sivector | abs (const sivector_slice &) |
Computes the component-wise absolute values as the interval hull of for a vector v. | |
srvector | diam (const sivector_slice &) |
Computes the diameter of v. | |
srvector | Inf (const sivector_slice &) |
Returns the infimum vector slice v. | |
int | Lb (const sivector_slice &) |
Returns the lower index bound of the vector slice v. | |
srvector | mid (const sivector_slice &) |
Computes the midpoint vector of v. | |
srvector | Sup (const sivector_slice &) |
Returns the supremum of the vector slice v. | |
int | Ub (const sivector_slice &) |
Returns the upper index bound of the vector slice v. | |
int | VecLen (const sivector_slice &) |
Returns the length of the vector slice. |
Helper class for slices of sparse vectors.
This class stores a reference to a sparse vector and operates on a slice of it. This class is used internally by C-XSC, it should normally not be necessary for the user to use it explicitly.
Definition at line 1831 of file sivector.hpp.
const interval cxsc::sivector_slice::operator() | ( | const int | i | ) | const [inline] |
Returns a copy of the i-th (according to the currently used indexing) element of the vector slice.
If the i-th element is explicitly stored, a copy of this value is returned. Otherwise, 0.0 will be returned. Unlike with the []-operator, the data structure remains unchanged either way. Thus this operator should always be used for read-only access to the elements of a sparse vector slice.
Definition at line 1915 of file sivector.hpp.
interval& cxsc::sivector_slice::operator[] | ( | const int | i | ) | [inline] |
Returns a reference to the i-th (according to the currently used indexing) element of the vector slice.
If the i-th element is explicitly stored, a reference to the value is returned. If is not explicitly stored, it will be added to the data structure as a zero element. The returned reference then points to this new element. Hence the []-operator should only be used for write access to the elements of a sparse vector. Use the ()-operator for read access.
Definition at line 1880 of file sivector.hpp.
interval cxsc::sivector_slice::operator[] | ( | const int | i | ) | const [inline] |
Returns a copy of the i-th (according to the currently used indexing) element of the vector slice.
If the i-th element is explicitly stored, a copy to the value is returned. If is not explicitly stored, zero will be returned. This is the const-version of this operator, added for convenience. It is suggested to use the ()-operator for read access.
Definition at line 1903 of file sivector.hpp.