DoubleEquiDepthHistogram (Parallel Colt 0.10.1

java.lang.Object
- cern.colt.PersistentObject
- - cern.jet.stat.tdouble.quantile.DoubleEquiDepthHistogram

All Implemented Interfaces:

Serializable, Cloneable
```
public class DoubleEquiDepthHistogram
extends PersistentObject
```
Read-only equi-depth histogram for selectivity estimation. Assume you have collected statistics over a data set, among them a one-dimensional equi-depth histogram (quantiles). Then an applications or DBMS might want to estimate the selectivity of some range query [from,to], i.e. the percentage of data set elements contained in the query range. This class does not collect equi-depth histograms but only space efficiently stores already produced histograms and provides operations for selectivity estimation. Uses linear interpolation.
This class stores a list l of double values for which holds:
Let v be a list of values (sorted ascending) an equi-depth histogram has been computed over.
Let s=l.length.
Let p=(0, 1/s-1), 2/s-1,..., s-1/s-1=1.0) be a list of the s percentages.
Then for each i=0..s-1: l[i] = e : v.contains(e) && v[0],..., v[p[i]*v.length] <= e .
(In particular: l[0]=min(v)=v[0] and l[s-1]=max(v)=v[s-1].)

Version:: 1.0, 09/24/99
Author:: wolfgang.hoschek@cern.ch
See Also:: Serialized Form

Constructor Summary

Constructors
Constructor and Description

DoubleEquiDepthHistogram(double[] quantileElements)
Constructs an equi-depth histogram with the given quantile elements.

Constructors
Constructor and Description
`DoubleEquiDepthHistogram(double[] quantileElements)` Constructs an equi-depth histogram with the given quantile elements.

Method Summary

Methods
Modifier and Type	Method and Description
`int`	`binOfElement(double element)` Returns the bin index of the given element.
`int`	`bins()` Returns the number of bins.
`double`	`endOfBin(int binIndex)` Returns the end of the range associated with the given bin.
`double`	`percentFromTo(double from, double to)` Returns the percentage of elements in the range (from,to].
`double`	`phi(double element)` Returns how many percent of the elements contained in the receiver are `<= element`.
`int`	`size()` Deprecated. Deprecated. Returns the number of bin boundaries.
`double`	`startOfBin(int binIndex)` Returns the start of the range associated with the given bin.
`static void`	`test(double element)` Not yet commented.

Methods inherited from class cern.colt.PersistentObject
clone

Methods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - DoubleEquiDepthHistogram
```
public DoubleEquiDepthHistogram(double[] quantileElements)
```
    Constructs an equi-depth histogram with the given quantile elements. Quantile elements must be sorted ascending and have the form specified in the class documentation.
- Method Detail
  - binOfElement
```
public int binOfElement(double element)
```
    Returns the bin index of the given element. In other words, returns a handle to the range the element falls into.
    
    Parameters:
    element - the element to search for.
    
    Throws:
    
    IllegalArgumentException - if the element is not contained in any bin.
  - bins
```
public int bins()
```
    Returns the number of bins. In other words, returns the number of subdomains partitioning the entire value domain.
  - endOfBin
```
public double endOfBin(int binIndex)
```
    Returns the end of the range associated with the given bin.
    
    Throws:
    
    ArrayIndexOutOfBoundsException - if binIndex < 0 || binIndex >= bins().
  - percentFromTo
```
public double percentFromTo(double from,
                   double to)
```
    Returns the percentage of elements in the range (from,to]. Does linear interpolation.
    
    Parameters:
    from - the start point (exclusive).
    to - the end point (inclusive).
    
    Returns:
    a number in the closed interval [0.0,1.0].
  - phi
```
public double phi(double element)
```
    Returns how many percent of the elements contained in the receiver are <= element. Does linear interpolation.
    
    Parameters:
    element - the element to search for.
    
    Returns:
    a number in the closed interval [0.0,1.0].
  - size
```
@Deprecated
public int size()
```
    Deprecated. Deprecated. Returns the number of bin boundaries.
  - startOfBin
```
public double startOfBin(int binIndex)
```
    Returns the start of the range associated with the given bin.
    
    Throws:
    
    ArrayIndexOutOfBoundsException - if binIndex < 0 || binIndex >= bins().
  - test
```
public static void test(double element)
```
    Not yet commented.

Class DoubleEquiDepthHistogram

Constructor Summary

Method Summary

Methods inherited from class cern.colt.PersistentObject

Methods inherited from class java.lang.Object

Constructor Detail

DoubleEquiDepthHistogram

Method Detail

binOfElement

bins

endOfBin

percentFromTo

phi

size

startOfBin

test