This abstract class provides the basic structures for storing and manipulating a point set defined by a set of cycles. More...
Inheritance diagram for CycleBasedPointSet:
Collaboration diagram for CycleBasedPointSet:
Classes | |
| class | CycleBasedPointSetIterator |
Public Member Functions | |
| double | getCoordinate (int i, int j) |
| void | addRandomShift (int d1, int d2, RandomStream stream) |
Same as the same method in PointSet. More... | |
| void | clearRandomShift () |
| Erases the current random shift, if any. | |
| int | getDimension () |
| PointSetIterator | iterator () |
| String | toString () |
| String | formatPoints () |
 Public Member Functions inherited from PointSet | |
| int | getDimension () |
| Returns the dimension (number of available coordinates) of the points. More... | |
| int | getNumPoints () |
| Returns the number of points. More... | |
| abstract double | getCoordinate (int i, int j) |
| Returns \(u_{i,j}\), the coordinate \(j\) of the point \(i\). More... | |
| PointSetIterator | iterator () |
| Constructs and returns a point set iterator. More... | |
| void | randomize (PointSetRandomization rand) |
Randomizes this point set using the given rand. More... | |
| void | addRandomShift (int d1, int d2, RandomStream stream) |
By default, this method generates a random shift in the protected double[] array shift, to be used eventually for a random shift modulo 1. More... | |
| void | addRandomShift (RandomStream stream) |
Same as addRandomShift(0, dim, stream), where dim is the dimension of the point set. More... | |
| void | addRandomShift (int d1, int d2) |
Refreshes the random shift (generates new uniform values for the random shift coordinates) for coordinates d1 to d2-1, using the saved shiftStream. | |
| void | addRandomShift () |
Same as addRandomShift(0, dim), where dim is the dimension of the point set. | |
| void | clearRandomShift () |
| Erases the current random shift, if any. | |
| String | toString () |
| Formats a string that contains information about the point set. More... | |
| String | formatPoints () |
| Same as invoking formatPoints(n, d) with \(n\) and \(d\) equal to the number of points and the dimension of this object, respectively. More... | |
| String | formatPoints (int n, int d) |
| Formats a string that displays the same information as returned by toString, together with the first \(d\) coordinates of the first \(n\) points. More... | |
| String | formatPoints (PointSetIterator iter) |
| Same as invoking formatPoints(iter, n, d) with \(n\) and \(d\) equal to the number of points and the dimension, respectively. More... | |
| String | formatPoints (PointSetIterator iter, int n, int d) |
Same as invoking formatPoints(n, d), but prints the points by calling iter repeatedly. More... | |
| String | formatPointsBase (int b) |
| Similar to formatPoints(), but the points coordinates are printed in base \(b\). More... | |
| String | formatPointsBase (int n, int d, int b) |
| Similar to formatPoints(n, d), but the points coordinates are printed in base \(b\). More... | |
| String | formatPointsBase (PointSetIterator iter, int b) |
| Similar to formatPoints(iter), but the points coordinates are printed in base \(b\). More... | |
| String | formatPointsBase (PointSetIterator iter, int n, int d, int b) |
| Similar to formatPoints(iter, n, d), but the points coordinates are printed in base \(b\). More... | |
| String | formatPointsNumbered () |
| Same as invoking formatPointsNumbered(n, d) with \(n\) and \(d\) equal to the number of points and the dimension, respectively. More... | |
| String | formatPointsNumbered (int n, int d) |
| Same as invoking formatPoints(n,d), except that the points are numbered. More... | |
Protected Member Functions | |
| void | addCycle (AbstractList c) |
Adds the cycle c to the list of all cycles. More... | |
Protected Attributes | |
| int | numCycles = 0 |
| ObjectArrayList | cycles = new ObjectArrayList() |
| Protected Attributes inherited from PointSet | |
| double | EpsilonHalf = 1.0 / Num.TWOEXP[55] |
| To avoid 0 for nextCoordinate when random shifting, we add this to each coordinate. | |
| int | dim = 0 |
| Dimension of the points. | |
| int | numPoints = 0 |
| Number of points. | |
| int | dimShift = 0 |
| Current dimension of the shift. More... | |
| int | capacityShift = 0 |
| Number of array elements in the shift vector, always >= dimShift. | |
| double [] | shift |
This is the shift vector as a double[] array, which contains the current random shift in case we apply a random shift modulo 1. More... | |
| RandomStream | shiftStream |
| Stream used to generate the random shifts. More... | |
Additional Inherited Members | |
| Static Protected Attributes inherited from PointSet | |
| static final int | MAXBITS = 31 |
| Since Java has no unsigned type, the 32nd bit cannot be used efficiently, so we have only 31 bits. More... | |
Detailed Description
This abstract class provides the basic structures for storing and manipulating a point set defined by a set of cycles.
The \(s\)-dimensional points are all the vectors of \(s\) successive values found in any of the cycles, from any starting point. Since this is defined for any positive integer \(s\), the points effectively have an infinite number of dimensions. The number of points, \(n\), is the sum of lengths of all the cycles. The cycles of the point set are simply stored as a list of arrays, where each array contains the successive values for a given cycle. By default, the values are stored in double.
This structure is convenient for implementing recurrence-based point sets, where the point set in \(s\) dimensions is defined as the set of all vectors of \(s\) successive values of a periodic recurrence, from all its possible initial states.
Member Function Documentation
◆ addCycle()
|
protected |
Adds the cycle c to the list of all cycles.
This method is used by subclass constructors to fill up the list of cycles.
◆ addRandomShift()
| void addRandomShift | ( | int | d1, |
| int | d2, | ||
| RandomStream | stream | ||
| ) |
Same as the same method in PointSet.
- Parameters
-
stream Stream used to generate random numbers
The documentation for this class was generated from the following file:
- CycleBasedPointSet.java
