|
SGSolve
|
Represents a hyperplane in
.
More...
#include <sghyperplane.hpp>

Public Member Functions | |
| SGHyperplane (int numStates) | |
| Initializes tuple to _numStates zero-vectors. | |
| SGHyperplane (const SGPoint &_normal, const vector< double > &_levels) | |
| Initializes tuple to _numPoints copies of point. | |
| SGHyperplane () | |
| Default constructor for empty tuple. | |
| double | expectation (const vector< double > &prob) const |
| Mathematical expectation. More... | |
| void | push_back (double level) |
| Adds a new level to the back of the hyperplane. | |
| void | clear () |
| Sets the levels equal to an empty vector. | |
| int | size () const |
| Returns the number of levels in the tuple. | |
| void | setNormal (const SGPoint &newNorm) |
| Set the normal. | |
| const SGPoint & | getNormal () const |
| Get the normal. | |
| const vector< double > & | getLevels () const |
| Get the levels. | |
| double & | operator[] (int state) |
| Random access the elements of the tuple. | |
| const double & | operator[] (int state) const |
| Constant random access to elements of the tuple. | |
| SGHyperplane & | operator= (const SGHyperplane &rhs) |
| Assignment operator. | |
| SGHyperplane & | operator+= (const SGHyperplane &rhs) |
| Augmented addition of tuples. | |
| SGHyperplane & | operator-= (const SGHyperplane &rhs) |
| Augmented subtraction of tuples. | |
| SGHyperplane & | operator+= (double rhs) |
| Augmented addition of tuple with a point. More... | |
| SGHyperplane & | operator*= (double d) |
| Scalar multiplication of the hyperplane. | |
| void | round (double tol) |
| Round off significant digits smaller than tol. | |
| template<class Archive > | |
| void | serialize (Archive &ar, const unsigned int version) |
| Serialize using boost. | |
Static Public Member Functions | |
| static double | distance (const SGHyperplane &t0, const SGHyperplane &t1) |
| Calculates the distance between t0 and t1 in the sup norm. | |
Private Attributes | |
| SGPoint | normal |
| vector< double > | levels |
Friends | |
| class | boost::serialization::access |
| SGHyperplane | operator* (double d, const SGHyperplane &hp) |
| Left scalar multiplication of a tuple. | |
| SGHyperplane | operator* (const SGHyperplane &hp, double d) |
| Right scalar multiplication of a tuple. | |
| ostream & | operator<< (ostream &out, const SGHyperplane &rhs) |
| Output formatted tuple to file stream. | |
Represents a hyperplane in
.
Consists of a normal direction and a vector of levels, one for each state.
Used to represent half spaces in SGSolver_MaxMinMax and SGSolver_MaxMinMax_3Player.
| double SGHyperplane::expectation | ( | const vector< double > & | prob | ) | const |
Mathematical expectation.
Returns the weighted sum of the levels using the weights in prob.
| SGHyperplane& SGHyperplane::operator+= | ( | double | rhs | ) |
Augmented addition of tuple with a point.
Adds rhs to each level.
|
private |
Level attained in each state.
|
private |
Normal normal to the hyperplanes.