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## hep.aida.ref
Class Histogram3D

    java.lang.Object
      hep.aida.ref.Histogram
          hep.aida.ref.AbstractHistogram3D
              hep.aida.ref.Histogram3D

All Implemented Interfaces:
  IHistogram, IHistogram3D, Serializable

public class Histogram3D
extends hep.aida.ref.AbstractHistogram3D
implements IHistogram3D

A reference implementation of hep.aida.IHistogram3D. The goal is to provide a clear implementation rather than the most efficient implementation. However, performance seems fine - filling 3 * 10^5 points/sec, both using FixedAxis or VariableAxis.

Version:
  1.0, 23/03/2000
See Also:
  Serialized Form

Field Summary

Fields inherited from interface hep.aida.IHistogram
`OVERFLOW, serialVersionUID, UNDERFLOW`

Constructor Summary
`Histogram3D(String title, double[] xEdges, double[] yEdges, double[] zEdges)` Creates a variable-width histogram.
`Histogram3D(String title, IAxis xAxis, IAxis yAxis, IAxis zAxis)` Creates a histogram with the given axis binning.
`Histogram3D(String title, int xBins, double xMin, double xMax, int yBins, double yMin, double yMax, int zBins, double zMin, double zMax)` Creates a fixed-width histogram.

Method Summary
`int` | `allEntries()` Number of all entries in all (both in-range and under/overflow) bins in the histogram.
`int` | `binEntries(int indexX, int indexY, int indexZ)` The number of entries (ie the number of times fill was called for this bin).
`double` | `binError(int indexX, int indexY, int indexZ)` The error on this bin.
`double` | `binHeight(int indexX, int indexY, int indexZ)` Total height of the corresponding bin (ie the sum of the weights in this bin).
`int` | `dimensions()` Returns 1 for one-dimensional histograms, 2 for two-dimensional histograms, and so on.
`int` | `entries()` Number of in-range entries in the histogram.
`double` | `equivalentBinEntries()` Number of equivalent entries.
`int` | `extraEntries()` Number of under and overflow entries in the histogram.
`void` | `fill(double x, double y, double z)` Fill the histogram with weight 1; equivalent to `fill(x,y,z,1)`..
`void` | `fill(double x, double y, double z, double weight)` Fill the histogram with specified weight.
`double` | `meanX()` Returns the mean of the histogram, as calculated on filling-time projected on the X axis.
`double` | `meanY()` Returns the mean of the histogram, as calculated on filling-time projected on the Y axis.
`double` | `meanZ()` Returns the mean of the histogram, as calculated on filling-time projected on the Z axis.
`int[]` | `minMaxBins()` Indexes of the in-range bins containing the smallest and largest binHeight(), respectively.
`IHistogram2D` | `projectionXY()` Create a projection parallel to the XY plane.
`IHistogram2D` | `projectionXZ()` Create a projection parallel to the XZ plane.
`IHistogram2D` | `projectionYZ()` Create a projection parallel to the YZ plane.
`void` | `reset()` Reset contents; as if just constructed.
`double` | `rmsX()` Returns the rms of the histogram as calculated on filling-time projected on the X axis.
`double` | `rmsY()` Returns the rms of the histogram as calculated on filling-time projected on the Y axis.
`double` | `rmsZ()` Returns the rms of the histogram as calculated on filling-time projected on the Z axis.
`IHistogram2D` | `sliceXY(int indexZ)` Create a slice parallel to the XY plane at bin indexZ and one bin wide.
`IHistogram2D` | `sliceXY(int indexZ1, int indexZ2)` Create a slice parallel to the XY plane, between "indexZ1" and "indexZ2" (inclusive).
`IHistogram2D` | `sliceXZ(int indexY)` Create a slice parallel to the XZ plane at bin indexY and one bin wide.
`IHistogram2D` | `sliceXZ(int indexY1, int indexY2)` Create a slice parallel to the XZ plane, between "indexY1" and "indexY2" (inclusive).
`IHistogram2D` | `sliceYZ(int indexX)` Create a slice parallel to the YZ plane at bin indexX and one bin wide.
`IHistogram2D` | `sliceYZ(int indexX1, int indexX2)` Create a slice parallel to the YZ plane, between "indexX1" and "indexX2" (inclusive).
`double` | `sumAllBinHeights()` Sum of all (both in-range and under/overflow) bin heights in the histogram.
`double` | `sumBinHeights()` Sum of in-range bin heights in the histogram.
`double` | `sumExtraBinHeights()` Sum of under/overflow bin heights in the histogram.
`String` | `title()` Title of the histogram (will be set only in the constructor).
`IAxis` | `xAxis()` Return the X axis.
`IAxis` | `yAxis()` Return the Y axis.
`IAxis` | `zAxis()` Return the Z axis.

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

Methods inherited from interface hep.aida.IHistogram3D
`minMaxBins, projectionXY, projectionXZ, projectionYZ, sliceXY, sliceXY, sliceXZ, sliceXZ, sliceYZ, sliceYZ, xAxis, yAxis, zAxis`

Methods inherited from interface hep.aida.IHistogram
`dimensions, entries, extraEntries, sumBinHeights, sumExtraBinHeights, title`

Constructor Detail

### Histogram3D

    public Histogram3D(String title,
                       double[] xEdges,
                       double[] yEdges,
                       double[] zEdges)

  Creates a variable-width histogram. Example: `xEdges = (0.2, 1.0, 5.0, 6.0), yEdges = (-5, 0, 7), zEdges = (-5, 0, 7)` yields 3*2*2 in-range bins.

Parameters:
  `title` - The histogram title.
  `xEdges` - the bin boundaries the x-axis shall have; must be sorted ascending and must not contain multiple identical elements.
  `yEdges` - the bin boundaries the y-axis shall have; must be sorted ascending and must not contain multiple identical elements.
  `zEdges` - the bin boundaries the z-axis shall have; must be sorted ascending and must not contain multiple identical elements.
Throws:
  `IllegalArgumentException` - if `xEdges.length < 1 || yEdges.length < 1|| zEdges.length < 1`.

### Histogram3D

    public Histogram3D(String title,
                       int xBins,
                       double xMin,
                       double xMax,
                       int yBins,
                       double yMin,
                       double yMax,
                       int zBins,
                       double zMin,
                       double zMax)

  Creates a fixed-width histogram.

Parameters:
  `title` - The histogram title.
  `xBins` - The number of bins on the X axis.
  `xMin` - The minimum value on the X axis.
  `xMax` - The maximum value on the X axis.
  `yBins` - The number of bins on the Y axis.
  `yMin` - The minimum value on the Y axis.
  `yMax` - The maximum value on the Y axis.
  `zBins` - The number of bins on the Z axis.
  `zMin` - The minimum value on the Z axis.
  `zMax` - The maximum value on the Z axis.

### Histogram3D

    public Histogram3D(String title,
                       IAxis xAxis,
                       IAxis yAxis,
                       IAxis zAxis)

  Creates a histogram with the given axis binning.

Parameters:
  `title` - The histogram title.
  `xAxis` - The x-axis description to be used for binning.
  `yAxis` - The y-axis description to be used for binning.
  `zAxis` - The z-axis description to be used for binning.

Method Detail

### allEntries

    public int allEntries()

  Description copied from interface: `IHistogram`
  Number of all entries in all (both in-range and under/overflow) bins in the histogram.

  Specified by:
    `allEntries` in interface `IHistogram`

### binEntries

    public int binEntries(int indexX,
                          int indexY,
                          int indexZ)

  Description copied from interface: `IHistogram3D`
  The number of entries (ie the number of times fill was called for this bin).

  Specified by:
    `binEntries` in interface `IHistogram3D`
  Parameters:
    `indexX` - the x bin number (0...Nx-1) or OVERFLOW or UNDERFLOW.
    `indexY` - the y bin number (0...Ny-1) or OVERFLOW or UNDERFLOW.
    `indexZ` - the z bin number (0...Nz-1) or OVERFLOW or UNDERFLOW.

### binError

    public double binError(int indexX,
                           int indexY,
                           int indexZ)

  Description copied from interface: `IHistogram3D`
  The error on this bin.

  Specified by:
    `binError` in interface `IHistogram3D`
  Parameters:
    `indexX` - the x bin number (0...Nx-1) or OVERFLOW or UNDERFLOW.
    `indexY` - the y bin number (0...Ny-1) or OVERFLOW or UNDERFLOW.
    `indexZ` - the z bin number (0...Nz-1) or OVERFLOW or UNDERFLOW.

### binHeight

    public double binHeight(int indexX,
                            int indexY,
                            int indexZ)

  Description copied from interface: `IHistogram3D`
  Total height of the corresponding bin (ie the sum of the weights in this bin).

  Specified by:
    `binHeight` in interface `IHistogram3D`
  Parameters:
    `indexX` - the x bin number (0...Nx-1) or OVERFLOW or UNDERFLOW.
    `indexY` - the y bin number (0...Ny-1) or OVERFLOW or UNDERFLOW.
    `indexZ` - the z bin number (0...Nz-1) or OVERFLOW or UNDERFLOW.

### equivalentBinEntries

    public double equivalentBinEntries()

  Description copied from interface: `IHistogram`
  Number of equivalent entries.

  Specified by:
    `equivalentBinEntries` in interface `IHistogram`
  Returns:
    `SUM[ weight ] ^ 2 / SUM[ weight^2 ]`.

### fill

    public void fill(double x,
                     double y,
                     double z)

  Description copied from interface: `IHistogram3D`
  Fill the histogram with weight 1; equivalent to `fill(x,y,z,1)`..

  Specified by:
    `fill` in interface `IHistogram3D`

### fill

    public void fill(double x,
                     double y,
                     double z,
                     double weight)

  Description copied from interface: `IHistogram3D`
  Fill the histogram with specified weight.

  Specified by:
    `fill` in interface `IHistogram3D`

### meanX

    public double meanX()

  Description copied from interface: `IHistogram3D`
  Returns the mean of the histogram, as calculated on filling-time projected on the X axis.

  Specified by:
    `meanX` in interface `IHistogram3D`

### meanY

    public double meanY()

  Description copied from interface: `IHistogram3D`
  Returns the mean of the histogram, as calculated on filling-time projected on the Y axis.

  Specified by:
    `meanY` in interface `IHistogram3D`

### meanZ

    public double meanZ()

  Description copied from interface: `IHistogram3D`
  Returns the mean of the histogram, as calculated on filling-time projected on the Z axis.

  Specified by:
    `meanZ` in interface `IHistogram3D`

### reset

    public void reset()

  Description copied from interface: `IHistogram`
  Reset contents; as if just constructed.

  Specified by:
    `reset` in interface `IHistogram`

### rmsX

    public double rmsX()

  Description copied from interface: `IHistogram3D`
  Returns the rms of the histogram as calculated on filling-time projected on the X axis.

  Specified by:
    `rmsX` in interface `IHistogram3D`

### rmsY

    public double rmsY()

  Description copied from interface: `IHistogram3D`
  Returns the rms of the histogram as calculated on filling-time projected on the Y axis.

  Specified by:
    `rmsY` in interface `IHistogram3D`

### rmsZ

    public double rmsZ()

  Description copied from interface: `IHistogram3D`
  Returns the rms of the histogram as calculated on filling-time projected on the Z axis.

  Specified by:
    `rmsZ` in interface `IHistogram3D`

### sumAllBinHeights

    public double sumAllBinHeights()

  Description copied from interface: `IHistogram`
  Sum of all (both in-range and under/overflow) bin heights in the histogram.

  Specified by:
    `sumAllBinHeights` in interface `IHistogram`

### dimensions

    public int dimensions()

  Description copied from interface: `IHistogram`
  Returns 1 for one-dimensional histograms, 2 for two-dimensional histograms, and so on.

  Specified by:
    `dimensions` in interface `IHistogram`

### entries

    public int entries()

  Description copied from interface: `IHistogram`
  Number of in-range entries in the histogram.

  Specified by:
    `entries` in interface `IHistogram`

### extraEntries

    public int extraEntries()

  Description copied from interface: `IHistogram`
  Number of under and overflow entries in the histogram.

  Specified by:
    `extraEntries` in interface `IHistogram`

### minMaxBins

    public int[] minMaxBins()

  Description copied from interface: `IHistogram3D`
  Indexes of the in-range bins containing the smallest and largest binHeight(), respectively.

  Specified by:
    `minMaxBins` in interface `IHistogram3D`
  Returns:
    `{minBinX,minBinY,minBinZ, maxBinX,maxBinY,maxBinZ}`.

### projectionXY

    public IHistogram2D projectionXY()

  Description copied from interface: `IHistogram3D`
  Create a projection parallel to the XY plane. Equivalent to `sliceXY(UNDERFLOW,OVERFLOW)`.

  Specified by:
    `projectionXY` in interface `IHistogram3D`

### projectionXZ

    public IHistogram2D projectionXZ()

  Description copied from interface: `IHistogram3D`
  Create a projection parallel to the XZ plane. Equivalent to `sliceXZ(UNDERFLOW,OVERFLOW)`.

  Specified by:
    `projectionXZ` in interface `IHistogram3D`

### projectionYZ

    public IHistogram2D projectionYZ()

  Description copied from interface: `IHistogram3D`
  Create a projection parallel to the YZ plane. Equivalent to `sliceYZ(UNDERFLOW,OVERFLOW)`.

  Specified by:
    `projectionYZ` in interface `IHistogram3D`

### sliceXY

    public IHistogram2D sliceXY(int indexZ)

  Description copied from interface: `IHistogram3D`
  Create a slice parallel to the XY plane at bin indexZ and one bin wide. Equivalent to `sliceXY(indexZ,indexZ)`.

  Specified by:
    `sliceXY` in interface `IHistogram3D`

### sliceXY

    public IHistogram2D sliceXY(int indexZ1,
                                int indexZ2)

  Description copied from interface: `IHistogram3D`
  Create a slice parallel to the XY plane, between "indexZ1" and "indexZ2" (inclusive). The returned IHistogram2D represents an instantaneous snapshot of the histogram at the time the slice was created.

  Specified by:
    `sliceXY` in interface `IHistogram3D`

### sliceXZ

    public IHistogram2D sliceXZ(int indexY)

  Description copied from interface: `IHistogram3D`
  Create a slice parallel to the XZ plane at bin indexY and one bin wide. Equivalent to `sliceXZ(indexY,indexY)`.

  Specified by:
    `sliceXZ` in interface `IHistogram3D`

### sliceXZ

    public IHistogram2D sliceXZ(int indexY1,
                                int indexY2)

  Description copied from interface: `IHistogram3D`
  Create a slice parallel to the XZ plane, between "indexY1" and "indexY2" (inclusive). The returned IHistogram2D represents an instantaneous snapshot of the histogram at the time the slice was created.

  Specified by:
    `sliceXZ` in interface `IHistogram3D`

### sliceYZ

    public IHistogram2D sliceYZ(int indexX)

  Description copied from interface: `IHistogram3D`
  Create a slice parallel to the YZ plane at bin indexX and one bin wide. Equivalent to `sliceYZ(indexX,indexX)`.

  Specified by:
    `sliceYZ` in interface `IHistogram3D`

### sliceYZ

    public IHistogram2D sliceYZ(int indexX1,
                                int indexX2)

  Description copied from interface: `IHistogram3D`
  Create a slice parallel to the YZ plane, between "indexX1" and "indexX2" (inclusive). The returned IHistogram2D represents an instantaneous snapshot of the histogram at the time the slice was created.

  Specified by:
    `sliceYZ` in interface `IHistogram3D`

### sumBinHeights

    public double sumBinHeights()

  Description copied from interface: `IHistogram`
  Sum of in-range bin heights in the histogram.

  Specified by:
    `sumBinHeights` in interface `IHistogram`

### sumExtraBinHeights

    public double sumExtraBinHeights()

  Description copied from interface: `IHistogram`
  Sum of under/overflow bin heights in the histogram.

  Specified by:
    `sumExtraBinHeights` in interface `IHistogram`

### xAxis

    public IAxis xAxis()

  Description copied from interface: `IHistogram3D`
  Return the X axis.

  Specified by:
    `xAxis` in interface `IHistogram3D`

### yAxis

    public IAxis yAxis()

  Description copied from interface: `IHistogram3D`
  Return the Y axis.

  Specified by:
    `yAxis` in interface `IHistogram3D`

### zAxis

    public IAxis zAxis()

  Description copied from interface: `IHistogram3D`
  Return the Z axis.

  Specified by:
    `zAxis` in interface `IHistogram3D`

### title

    public String title()

  Description copied from interface: `IHistogram`
  Title of the histogram (will be set only in the constructor).

  Specified by:
    `title` in interface `IHistogram`

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