#include </cur/unifexp/mapcub.h>
Public Member Functions | |
mapCubic () | |
The constructor. | |
std::string | name () const |
Returns the name of the object. | |
int | countCritical () const |
Returns the number of critical points. | |
numType | criticalPoint (int n) const |
Returns the subsequent critical points. | |
numType | leftBound () const |
Returns the left bound of the domain of the map. | |
numType | rightBound () const |
Returns the right bound of the domain of the map. | |
void | image (const numType &x1, const numType &x2, numType &y1, numType &y2) const |
Computes an enclosure of the image of the given interval. | |
numType | minLogDerivative (const numType &x1, const numType &x2, const numType &y1, const numType &y2) const |
Computes the minimal log of the derivative over those points in the interval [x1,x2] whose images may fall into [y1,y2]. |
It is suitable for non-rigorous computations. See the class "mapCubicIntv" for a rigorous version which does use interval arithmetic. Good values of the parameter are between 0 and 2, more or less (the optimal value is 2, I think).
Definition at line 57 of file mapcub.h.
unifexp::mapCubic< numType >::mapCubic | ( | ) | [inline] |
std::string unifexp::mapCubic< numType >::name | ( | ) | const [inline, virtual] |
int unifexp::mapCubic< numType >::countCritical | ( | ) | const [inline, virtual] |
numType unifexp::mapCubic< numType >::criticalPoint | ( | int | n | ) | const [inline, virtual] |
numType unifexp::mapCubic< numType >::leftBound | ( | ) | const [inline, virtual] |
numType unifexp::mapCubic< numType >::rightBound | ( | ) | const [inline, virtual] |
void unifexp::mapCubic< numType >::image | ( | const numType & | x1, | |
const numType & | x2, | |||
numType & | y1, | |||
numType & | y2 | |||
) | const [inline, virtual] |
Computes an enclosure of the image of the given interval.
Implements unifexp::mapType< numType >.
Definition at line 128 of file mapcub.h.
References unifexp::mapType< numType >::paramMax, and unifexp::mapType< numType >::paramMin.
numType unifexp::mapCubic< numType >::minLogDerivative | ( | const numType & | x1, | |
const numType & | x2, | |||
const numType & | y1, | |||
const numType & | y2 | |||
) | const [inline, virtual] |
Computes the minimal log of the derivative over those points in the interval [x1,x2] whose images may fall into [y1,y2].
Implements unifexp::mapType< numType >.