This abstract class is the base class of all discrepancy classes programmed with floating-point numbers with multi-precision. More...
Inheritance diagram for BigDiscrepancy:
Collaboration diagram for BigDiscrepancy:
Public Member Functions | |
| BigDiscrepancy (double[][] points, int n, int s) | |
Constructor with the \(n\) points points[i] in \(s\) dimensions. More... | |
| BigDiscrepancy (double[][] points, int n, int s, double[] gamma) | |
Constructor with the \(n\) points points[i] in \(s\) dimensions with weight factors gamma. More... | |
| BigDiscrepancy (int n, int s, double[] gamma) | |
The number of points is \(n\), the dimension \(s\), and the \(s\) weight factors are gamma[ \(j\)], \(j = 0, 1, …, (s-1)\). More... | |
| BigDiscrepancy (PointSet set) | |
Constructor with the point set set. More... | |
| BigDiscrepancy () | |
| Empty constructor. More... | |
 Public Member Functions inherited from Discrepancy | |
| Discrepancy (double[][] points, int n, int s) | |
Constructor with the \(n\) points points[i] in \(s\) dimensions. More... | |
| Discrepancy (double[][] points, int n, int s, double[] gamma) | |
Constructor with the \(n\) points points[i] in \(s\) dimensions and the \(s\) weight factors gamma[ \(j\)], \(j = 0, 1, …, (s-1)\). More... | |
| Discrepancy (int n, int s, double[] gamma) | |
The number of points is \(n\), the dimension \(s\), and the \(s\) weight factors are gamma[ \(j\)], \(j = 0, 1, …, (s-1)\). More... | |
| Discrepancy (PointSet set) | |
Constructor with the point set set. More... | |
| Discrepancy () | |
| Empty constructor. More... | |
| double | compute () |
| Computes the discrepancy of all the points in maximal dimension (dimension of the points). | |
| double | compute (int s) |
| Computes the discrepancy of all the points in dimension \(s\). | |
| double | compute (double[][] points, int n, int s, double[] gamma) |
Computes the discrepancy of the first n points of points in dimension s with weights gamma. | |
| abstract double | compute (double[][] points, int n, int s) |
Computes the discrepancy of the first n points of points in dimension s with weights \(=1\). | |
| double | compute (double[][] points) |
Computes the discrepancy of all the points of points in maximum dimension. More... | |
| double | compute (double[] T, int n) |
Computes the discrepancy of the first n points of T in 1 dimension. More... | |
| double | compute (double[] T) |
Computes the discrepancy of all the points of T in 1 dimension. More... | |
| double | compute (double[] T, int n, double gamma) |
Computes the discrepancy of the first n points of T in 1 dimension with weight gamma. | |
| double | compute (PointSet set, double[] gamma) |
Computes the discrepancy of all the points in set in the same dimension as the point set and with weights gamma. | |
| double | compute (PointSet set) |
Computes the discrepancy of all the points in set in the same dimension as the point set. More... | |
| int | getNumPoints () |
| Returns the number of points \(n\). | |
| int | getDimension () |
| Returns the dimension of the points \(s\). | |
| void | setPoints (double[][] points, int n, int s) |
Sets the points to points and the dimension to \(s\). More... | |
| void | setPoints (double[][] points) |
Sets the points to points. More... | |
| void | setGamma (double[] gam, int s) |
Sets the weight factors to gam for each dimension up to \(s\). | |
| double [] | getGamma () |
Returns the weight factors gamma for each dimension up to \(s\). | |
| String | toString () |
| Returns the parameters of this class. | |
| String | formatPoints () |
| Returns all the points of this class. | |
| String | getName () |
| Returns the name of the Discrepancy. | |
Protected Member Functions | |
| void | reserveCBig (int s) |
| void | reserveFactorBig (int n, int s) |
| void | setUBig (int n) |
| Protected Member Functions inherited from Discrepancy | |
| void | appendGamma (StringBuffer sb, double[] gamma, int s) |
Protected Attributes | |
| BigDecimal [] | C1Big |
| BigDecimal [] | C2Big |
| BigDecimal [] | C3Big |
| BigDecimal [] | UBig |
| BigDecimal [][] | FactorBig |
| Protected Attributes inherited from Discrepancy | |
| double [] | gamma |
| double [][] | Points |
| int | dim |
| int | numPoints |
Additional Inherited Members | |
| Static Public Member Functions inherited from Discrepancy | |
| static double [][] | toArray (PointSet set) |
Returns all the \(n\) points ( \(s\)-dimensional) of umontreal.ssj.hups.PointSet set as an array points[ \(n\)][ \(s\)]. | |
| static DoubleArrayList | sort (double[] T, int n) |
| Sorts the first \(n\) points of \(T\). More... | |
| Static Protected Member Functions inherited from Discrepancy | |
| static void | setONES (int s) |
| Static Protected Attributes inherited from Discrepancy | |
| static double [] | ONES = { 1 } |
| Static Package Attributes inherited from Discrepancy | |
| static final double | UNSIX = 1.0/6.0 |
| static final double | QUARAN = 1.0/42.0 |
| static final double | UNTRENTE = 1.0 / 30.0 |
| static final double | DTIERS = 2.0 / 3.0 |
| static final double | STIERS = 7.0 / 3.0 |
| static final double | QTIERS = 14.0 / 3.0 |
Detailed Description
This abstract class is the base class of all discrepancy classes programmed with floating-point numbers with multi-precision.
For \(n\) large, computing the discrepancy suffers from subtractive cancellation and loses all precision if one uses double numbers. Using multi-precision numbers allow us to compute the discrepancy for larger \(n\), but the computation is very slow.
Constructor & Destructor Documentation
◆ BigDiscrepancy() [1/5]
| BigDiscrepancy | ( | double | points[][], |
| int | n, | ||
| int | s | ||
| ) |
Constructor with the \(n\) points points[i] in \(s\) dimensions.
points[i][j] is the \(j\)-th coordinate of point \(i\). Both \(i\) and \(j\) start at 0.
◆ BigDiscrepancy() [2/5]
| BigDiscrepancy | ( | double | points[][], |
| int | n, | ||
| int | s, | ||
| double [] | gamma | ||
| ) |
Constructor with the \(n\) points points[i] in \(s\) dimensions with weight factors gamma.
points[i][j] is the \(j\)-th coordinate of point \(i\). Both \(i\) and \(j\) start at 0.
◆ BigDiscrepancy() [3/5]
| BigDiscrepancy | ( | int | n, |
| int | s, | ||
| double [] | gamma | ||
| ) |
The number of points is \(n\), the dimension \(s\), and the \(s\) weight factors are gamma[ \(j\)], \(j = 0, 1, …, (s-1)\).
The \(n\) points will be chosen later.
◆ BigDiscrepancy() [4/5]
| BigDiscrepancy | ( | PointSet | set | ) |
Constructor with the point set set.
All the points are copied in an internal array.
◆ BigDiscrepancy() [5/5]
| BigDiscrepancy | ( | ) |
Empty constructor.
The points and parameters must be defined before calling methods of this or derived classes.
The documentation for this class was generated from the following file:
- BigDiscrepancy.java
