jhplot
Class H2D
- java.lang.Object
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- jhplot.Plottable
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- jhplot.DrawOptions
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- jhplot.H2D
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- All Implemented Interfaces:
- java.io.Serializable
public class H2D extends DrawOptions implements java.io.Serializable
Histogram in two dimensions (2D). Main class to create a 2D histogram. Each bin in 2D is characterized by 2 indexes, i and j. This class is a direct extension of the H1D used for 1D case. Use the get() method to access JAIDA Histogram2D histogram class.- See Also:
- Serialized Form
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Constructor Summary
Constructors Constructor and Description H2D(Cloud2D c2d, int binX, int binY)
Create H2D histogram from Cloud2D.H2D(Histogram2D h1)
Create a H2D histogram from JAIDA histogramH2D(IHistogram2D h1)
Create H2D histogram from JAIDA IHistogram2D classH2D(java.lang.String title, double[] edgesX, double[] edgesY)
Create a 2D histogram using variable size bins in X and YH2D(java.lang.String title, IAxis xAx, IAxis yAy)
Define H2D in terms of axisH2D(java.lang.String title, int binsX, double minX, double maxX, int binsY, double minY, double maxY)
Create 2D histogramH2D(hep.io.root.interfaces.TH2 h2t)
Create H2D histogram from JAIDA TH1 histogram class
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method and Description int
allEntries()
Get number of all entriesint
binEntries(int indexX, int indexY)
Number of entries in the corresponding bin (i.e.double
binError(int indexX, int indexY)
Error of the corresponding bin.double[][]
binErrors()
Get errors on heights as 2D array.double
binHeight(int indexX, int indexY)
Total height of the corresponding bin.double[][]
binHeights()
Get bin heights as 2D array.double[]
binMeans(int i, int j)
Get bin mean position at the location (i,i)double[][]
binMeansX()
Get mean position for X axis as 2D array.double[][]
binMeansY()
Get mean position for Y axis as 2D array.void
clear()
java.util.Map<java.lang.String,java.lang.Double>
compareChi2(F2D f1)
Compare the histogram with a function.java.util.Map<java.lang.String,java.lang.Double>
compareChi2(H2D h2)
Compare two 2D histograms.H2D
copy()
Make a copy of the data holderH2D
copy(java.lang.String newtitle)
Get exact copy of the current histogram.void
doc()
Show online documentation.int
entries()
Number of in-range entries in the histogramint
extraEntries()
Get the number of entries in the underflow and overflow bins.void
fill(Cloud2D c2d)
Fill H2D histogram from Cloud2D.void
fill(double[] value1, double[] value2)
Fill H2D histogram from 2 arrays (X amd Y).void
fill(double[] value1, double[] value2, double[] weights)
Fill H2D histogram from arrays.void
fill(double value1, double value2)
Fill H2D histogram assuming all weights are unity.void
fill(double value1, double value2, double weight)
Fill H2D histogram with weightsvoid
fill(int TotNumber, AbstractDistribution random1, AbstractDistribution random2)
Fill the histogram with random numbers.void
fill(P0D value1, P0D value2)
Fill H2D histogram from 2 arrays.void
fill(P0I value1, P0I value2)
Fill H2D histogram from 2 arrays.void
fillGauss(int TotNumber, double meanX, double sdX, double meanY, double sdY)
Fill the histogram with random numbers from Gaussian (Normal) distribution.void
fillRnd(int TotNumber, double meanX, double widthX, double meanY, double widthY)
Fill the histogram with random numbers from fralt distribution.int
findBinX(double x)
Convert a coordinate X on the axis to a bin numberint
findBinY(double y)
Convert a coordinate Y on the axis to a bin numberHistogram2D
get()
Get the JAIDA Histogram2DIAxis
getAxisX()
Get IAxis in XIAxis
getAxisY()
Get IAxis in Yint
getBinsX()
Get the number of bins in Xint
getBinsY()
Get the number of bins in YH2D
getDensity()
Get a density distribution dividing each bin of the histogram by the bin width and the total number of heights for all bins.double[]
getLowerEdgesX()
Get lower edges for X bins as 1D array.double[]
getLowerEdgesY()
Get lower edges for Y bins as 1D array.double
getLowerEdgeX(int index)
Get lower edge of the bin in Xdouble
getLowerEdgeY(int index)
Get lower edge of the bins in Ydouble
getMaxX()
Get max value of axis in Xdouble
getMaxY()
Get max value of Y axisdouble
getMeanX()
Get mean on X.double
getMeanY()
Get mean on Ydouble
getMinX()
Get min value of axis in Xdouble
getMinY()
Get min value of Y axisint
getOverflowEntriesX()
Get overflow entries in Yint
getOverflowEntriesY()
Get overflow entries in Ydouble
getOverflowHeightX()
Get overflow entries in Ydouble
getOverflowHeightY()
Get overflow height in YH2D
getProbability()
Return q probability distribution derived from a histogram.double
getRmsX()
Get RMS on Xdouble
getRmsY()
Get RMS on Yjava.util.Map<java.lang.String,java.lang.Double>
getStat()
Calculate complete statistics for this histogram for the X or Y Unlike other methods (like mean or rms), it performs calculations on the existing histogram, thus the method is somewhat slow.int
getUnderflowEntriesX()
Get underflow entries in Xint
getUnderflowEntriesY()
Get underflow entries in Ydouble
getUnderflowHeightX()
Get underflow height in Xdouble
getUnderflowHeightY()
Get underflow height in Ydouble
getUpperEdgeX(int index)
Get upper edge of the bin in Xdouble
getUpperEdgeY(int index)
Get upper edge of the bin in Ydouble
integral(int BinMinX, int BinMaxX, int BinMinY, int BinMaxY)
Integrate histogram between two indices.double
integral(int BinMinX, int BinMaxX, int BinMinY, int BinMaxY, boolean timesBinWidth)
Integrate histogram between two indices.double
integralRange(double xMin, double xMax, double yMin, double yMax, boolean timesBinWidth)
Integrate histogram in the range.H2D
oper(H2D a, java.lang.String title, java.lang.String what)
Various manipulations with histograms (+,-,*,/).H2D
operScale(java.lang.String title, double scaleFactor)
Scale the histogram and return scaled object.void
scale(double scaleFactor)
Scale the histogram.void
scale(java.lang.String title, double scaleFactor)
Scale the histogram.void
setBinError(int indexX, int indexY, double error)
Set the error on this bin.void
setContents(double[][] heights, double[][] errors)
Set content of H2D histogramvoid
setContents(double[][] heights, double[][] errors, int[][] entries, double[][] meanXs, double[][] rmsXs, double[][] meanYs, double[][] rmsYs)
Set the content of the whole Histogram at once.void
setMeanX(double mean)
Set mean on X.void
setMeanY(double mean)
Set mean on Yvoid
setNEntries(int entries)
Set all entries.void
setRmsX(double rmsX)
Set RMS on X.void
setRmsY(double rmsY)
Set RMS on Yvoid
setValidEntries(int entries)
Set in-range entries.double
sumAllBinHeights()
Get the sum of the bin heights for all the entries, in-range and out-range ones.double
sumExtraBinHeights()
Get the sum of the bin heights for all the entries outside the Histogram's range.-
Methods inherited from class jhplot.DrawOptions
copyLinePars, getBinWidth, getColor, getDrawOption, getDrawOptions, getFillColor, getLegend, getLineParm, getLineStyle, getNameX, getNameY, getNameZ, getPenWidth, getSymbol, getSymbolShape, getSymbolSize, getTitle, getType, isBars, isErrX, isErrY, isFilled, printDrawOptions, printDrawOptions, setBars, setBinWidth, setColor, setDrawLine, setDrawLineKey, setDrawOption, setDrawSymbol, setErr, setErrAll, setErrColor, setErrColor, setErrColorX, setErrColorY, setErrFill, setErrFillColor, setErrFillColor, setErrSys, setErrSysFill, setErrSysFillColor, setErrSysFillColor, setErrSysX, setErrSysY, setErrTicSize, setErrX, setErrY, setFill, setFillColor, setFillColorTransparency, setGraphStyle, setLegend, setLineStyle, setNameX, setNameY, setNameZ, setPenDash, setPenDash, setPenWidth, setPenWidthErr, setPenWidthErrSys, setStyle, setSymbol, setSymbol, setSymbolSize, setTitle, setType
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Constructor Detail
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H2D
public H2D(java.lang.String title, int binsX, double minX, double maxX, int binsY, double minY, double maxY)
Create 2D histogram- Parameters:
title
- TitlebinsX
- Number of bins in XminX
- Min value in XmaxX
- Max value in XbinsY
- Number of bins in YminY
- Min value in YmaxY
- Max value in Y
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H2D
public H2D(IHistogram2D h1)
Create H2D histogram from JAIDA IHistogram2D class- Parameters:
h1
- IHistogram2D histogram from JAIDA
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H2D
public H2D(Cloud2D c2d, int binX, int binY)
Create H2D histogram from Cloud2D.- Parameters:
c2d
- Cloud2DbinX
- number of bins in XbinY
- number of bins in Y
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H2D
public H2D(java.lang.String title, double[] edgesX, double[] edgesY)
Create a 2D histogram using variable size bins in X and Y- Parameters:
title
- - bin titlesedgesX
- - array with bin edges in XedgesY
- - array with bin edges in Y
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H2D
public H2D(java.lang.String title, IAxis xAx, IAxis yAy)
Define H2D in terms of axis- Parameters:
title
- titlexAx
- Axis for XyAy
- Axis for Y
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H2D
public H2D(Histogram2D h1)
Create a H2D histogram from JAIDA histogram- Parameters:
h1
- Histogram2D histogram
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H2D
public H2D(hep.io.root.interfaces.TH2 h2t)
Create H2D histogram from JAIDA TH1 histogram class- Parameters:
h1t
- TH1 histogram from JAIDA
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Method Detail
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get
public Histogram2D get()
Get the JAIDA Histogram2D- Returns:
- Histogram2D
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setRmsY
public void setRmsY(double rmsY)
Set RMS on Y- Parameters:
rmsY
- RMS on Y
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setMeanY
public void setMeanY(double mean)
Set mean on Y- Parameters:
mean
- on Y
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getRmsY
public double getRmsY()
Get RMS on Y
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getMeanY
public double getMeanY()
Get mean on Y
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getMeanX
public double getMeanX()
Get mean on X.
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getRmsX
public double getRmsX()
Get RMS on X
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setNEntries
public void setNEntries(int entries)
Set all entries.- Parameters:
entries
- entries
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setValidEntries
public void setValidEntries(int entries)
Set in-range entries.- Parameters:
entries
- entries
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setRmsX
public void setRmsX(double rmsX)
Set RMS on X.
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setMeanX
public void setMeanX(double mean)
Set mean on X.- Parameters:
mean
- on X
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setContents
public void setContents(double[][] heights, double[][] errors)
Set content of H2D histogram- Parameters:
heights
- heightserrors
- errors
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setContents
public void setContents(double[][] heights, double[][] errors, int[][] entries, double[][] meanXs, double[][] rmsXs, double[][] meanYs, double[][] rmsYs)
Set the content of the whole Histogram at once. This is a convenience method for saving/restoring Histograms. Of the arguments below the heights array cannot be null. The errors array should in general be non-null, but this depends on the specific binner. The entries array can be null, in which case the entry of a bin is taken to be the integer part of the height. If the means array is null, the mean is defaulted to the geometric center of the bin. If the rms array is null, the rms is taken to be the bin width over the root of 12.- Parameters:
heights
- The bin heightserrors
- The bin errorsentries
- The bin entriesmeanXs
- The means of the bin along the x axisrmsXs
- The rmss of the bin along the x axismeanYs
- The means of the bin along the y axisrmsYs
- The rmss of the bin along the y axis
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fill
public void fill(double value1, double value2)
Fill H2D histogram assuming all weights are unity.- Parameters:
value1
- value in Xvalue2
- value in Y
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fillGauss
public void fillGauss(int TotNumber, double meanX, double sdX, double meanY, double sdY)
Fill the histogram with random numbers from Gaussian (Normal) distribution. Seed is taken from time.- Parameters:
TotNumber
- number generated eventsmeanX
- mean of the gaussian in XsdX
- standard deviation in XmeanY
- mean of the gaussian in YsdY
- standard deviation in Y
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fillRnd
public void fillRnd(int TotNumber, double meanX, double widthX, double meanY, double widthY)
Fill the histogram with random numbers from fralt distribution. Seed is taken from time. Using mean=0 and width=1 will give a flat distribution between 0 and 1.- Parameters:
TotNumber
- number generated eventsmeanX
- mean of the distribution in XwidthX
- width of the distribution in XmeanY
- mean of the distribution in YwidthY
- width of the distribution in Y
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fill
public void fill(int TotNumber, AbstractDistribution random1, AbstractDistribution random2)
Fill the histogram with random numbers. Random generators are taken from cern.jet.random.*. Examples: Beta, Binominal, Poisson, BreitWigner,ChiSquare,Empirical Exponential, Gamma, Hyperbolic, Logarithmic, Normal, NegativeBinomial- Parameters:
TotNumber
- number generated eventsrandom1
- generator for Xrandom1
- generator for Y
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setBinError
public void setBinError(int indexX, int indexY, double error)
Set the error on this bin.- Parameters:
indexX
- the bin number (0...N-1) or OVERFLOW or UNDERFLOW.indexY
- the bin number (0...N-1) or OVERFLOW or UNDERFLOW.error
- the error.
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binHeight
public double binHeight(int indexX, int indexY)
Total height of the corresponding bin.- Parameters:
indexX
- The x bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.indexY
- The y bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.- Returns:
- The bin height for the corresponding bin.
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extraEntries
public int extraEntries()
Get the number of entries in the underflow and overflow bins.- Returns:
- The number of entries outside the range of the Histogram.
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sumExtraBinHeights
public double sumExtraBinHeights()
Get the sum of the bin heights for all the entries outside the Histogram's range.- Returns:
- The sum of the out of range bin's heights.
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sumAllBinHeights
public double sumAllBinHeights()
Get the sum of the bin heights for all the entries, in-range and out-range ones.- Returns:
- The sum of all the bin's heights.
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getBinsX
public int getBinsX()
Get the number of bins in X- Returns:
- binsX number of bins in X
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getBinsY
public int getBinsY()
Get the number of bins in Y- Returns:
- binsY number of bins in Y
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getMinX
public double getMinX()
Get min value of axis in X- Returns:
- min value of X axis
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getMaxX
public double getMaxX()
Get max value of axis in X- Returns:
- max value of X axis
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getMaxY
public double getMaxY()
Get max value of Y axis- Returns:
- max value of Y axis
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getMinY
public double getMinY()
Get min value of Y axis- Returns:
- min value of X axis
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getUnderflowEntriesY
public int getUnderflowEntriesY()
Get underflow entries in Y- Returns:
- underflow in Y
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getUnderflowHeightY
public double getUnderflowHeightY()
Get underflow height in Y- Returns:
- underflow height in Y
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getUnderflowHeightX
public double getUnderflowHeightX()
Get underflow height in X- Returns:
- underflow height in X
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getUnderflowEntriesX
public int getUnderflowEntriesX()
Get underflow entries in X- Returns:
- underflow in X
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getOverflowEntriesY
public int getOverflowEntriesY()
Get overflow entries in Y- Returns:
- overflow in Y
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getOverflowHeightY
public double getOverflowHeightY()
Get overflow height in Y- Returns:
- overflow in Y
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getOverflowEntriesX
public int getOverflowEntriesX()
Get overflow entries in Y- Returns:
- overflow in Y
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getOverflowHeightX
public double getOverflowHeightX()
Get overflow entries in Y- Returns:
- overflow in Y
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getLowerEdgeX
public double getLowerEdgeX(int index)
Get lower edge of the bin in X- Parameters:
index
- of the bin- Returns:
- lower edge of the bin
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oper
public H2D oper(H2D a, java.lang.String title, java.lang.String what)
Various manipulations with histograms (+,-,*,/). Note: no new object will be created.- Parameters:
a
- H2D histogram.title
- New Title- Returns:
- same H2D object but modified
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scale
public void scale(java.lang.String title, double scaleFactor)
Scale the histogram.- Parameters:
title
- New titlescaleFactor
- Scale factor
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operScale
public H2D operScale(java.lang.String title, double scaleFactor)
Scale the histogram and return scaled object.- Parameters:
title
- New titlescaleFactor
- Scale factor
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getUpperEdgeX
public double getUpperEdgeX(int index)
Get upper edge of the bin in X- Parameters:
index
- of the bin- Returns:
- lower edge of the bin
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getUpperEdgeY
public double getUpperEdgeY(int index)
Get upper edge of the bin in Y- Parameters:
index
- of the bin- Returns:
- lower edge of the bin
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getLowerEdgeY
public double getLowerEdgeY(int index)
Get lower edge of the bins in Y- Parameters:
index
- of the bin- Returns:
- lower edge of the bin
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getStat
public java.util.Map<java.lang.String,java.lang.Double> getStat()
Calculate complete statistics for this histogram for the X or Y Unlike other methods (like mean or rms), it performs calculations on the existing histogram, thus the method is somewhat slow. It return mean, error on the mean, RMS, variance, standard deviation.The key for the output map are: mean, error, rms, variance, stddev etc. Print the keys of this map to get the full access to statistics.
- Returns:
- map representing histogram statistics
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allEntries
public int allEntries()
Get number of all entries- Returns:
- Number of all entries
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entries
public int entries()
Number of in-range entries in the histogram- Returns:
- Number of in-range entries
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getAxisX
public IAxis getAxisX()
Get IAxis in X- Returns:
- axis in X
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getAxisY
public IAxis getAxisY()
Get IAxis in Y- Returns:
- axis in Y
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clear
public void clear()
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binHeights
public double[][] binHeights()
Get bin heights as 2D array. Note 0 index bin means 1st bin etc.- Returns:
- bin heights as 2D array
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binErrors
public double[][] binErrors()
Get errors on heights as 2D array. Note 0 index bin means 1st bin etc.- Returns:
- errors on heights as 2D array
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binMeansX
public double[][] binMeansX()
Get mean position for X axis as 2D array. Note 0 index bin means 1st bin etc.- Returns:
- X mean positions as 2D array
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getLowerEdgesX
public double[] getLowerEdgesX()
Get lower edges for X bins as 1D array. Note 0 index bin means 1st bin etc.- Returns:
- lower edges for X positions as 1D array
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getLowerEdgesY
public double[] getLowerEdgesY()
Get lower edges for Y bins as 1D array. Note 0 index bin means 1st bin etc.- Returns:
- lower edges for Y positions as 1D array
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binMeansY
public double[][] binMeansY()
Get mean position for Y axis as 2D array. Note 0 index bin means 1st bin etc.- Returns:
- Y mean positions as 2D array
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binMeans
public double[] binMeans(int i, int j)
Get bin mean position at the location (i,i)- Parameters:
i
- bin position in Xj
- bin position in Y- Returns:
- bin mean in X and Y (2D array).
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copy
public H2D copy(java.lang.String newtitle)
Get exact copy of the current histogram. This means it makes a new object.- Parameters:
newtitle
- New title- Returns:
- a new copy of the histogram
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getDensity
public H2D getDensity()
Get a density distribution dividing each bin of the histogram by the bin width and the total number of heights for all bins.- Returns:
- density distribution
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binEntries
public int binEntries(int indexX, int indexY)
Number of entries in the corresponding bin (i.e. the number of times fill was called for this bin).- Parameters:
indexX
- the x bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.indexY
- the y bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.- Returns:
- The number of entries for the corresponding bin.
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binError
public double binError(int indexX, int indexY)
Error of the corresponding bin.- Parameters:
indexX
- the x bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.indexY
- the y bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.- Returns:
- errors for the corresponding bin.
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fill
public void fill(double value1, double value2, double weight)
Fill H2D histogram with weights- Parameters:
value1
- value in Xvalue2
- value in Yweight
- weight
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fill
public void fill(double[] value1, double[] value2)
Fill H2D histogram from 2 arrays (X amd Y). Assume weights =1.- Parameters:
value1
- array with values in Xvalue2
- array with values in Y
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fill
public void fill(Cloud2D c2d)
Fill H2D histogram from Cloud2D.- Parameters:
c2d
- input Cloud2D array with values in X
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fill
public void fill(P0D value1, P0D value2)
Fill H2D histogram from 2 arrays. Assume weights =1.- Parameters:
value1
- array with values in Xvalue2
- array with values in Y
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fill
public void fill(P0I value1, P0I value2)
Fill H2D histogram from 2 arrays. Assume weights =1.- Parameters:
value1
- array with values in Xvalue2
- array with values in Y
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fill
public void fill(double[] value1, double[] value2, double[] weights)
Fill H2D histogram from arrays. Weights are defined by the third array. Sizes of the arrays must be the same.- Parameters:
value1
- array with values in Xvalue2
- array with values in Yweights
- weights
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findBinX
public int findBinX(double x)
Convert a coordinate X on the axis to a bin number- Parameters:
x
- coordinate on axis- Returns:
- index of the corresponding bin
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findBinY
public int findBinY(double y)
Convert a coordinate Y on the axis to a bin number- Parameters:
y
- coordinate on axis- Returns:
- index of the corresponding bin
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integralRange
public double integralRange(double xMin, double xMax, double yMin, double yMax, boolean timesBinWidth)
Integrate histogram in the range. The integral is computed as the sum of bin contents in the range.- Parameters:
xMin
- Min value for X integration (included to integration)xMax
- Max index for X integration (included to integration)yMin
- Min index for Y integration (included to integration)yMax
- Max index for Y integration (included to integration)timesBinWidth
- If true, the integral is the sum of the bin contents multiplied by the bin width in x.- Returns:
- integral (sum of all heights)
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getProbability
public H2D getProbability()
Return q probability distribution derived from a histogram. The histogram is scaled by the sum of all contents.- Returns:
- probability distribution
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copy
public H2D copy()
Make a copy of the data holder- Returns:
- New data holder
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scale
public void scale(double scaleFactor)
Scale the histogram.- Parameters:
scaleFactor
- Scale factor
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integral
public double integral(int BinMinX, int BinMaxX, int BinMinY, int BinMaxY)
Integrate histogram between two indices. The integral is computed as the sum of bin contents in the range.- Parameters:
BinMinX
- Min index for X integration (included to integration, start from 1)BinMaxX
- Max index for X integration (included to integration)BinMinY
- Min index for Y integration (included to integration, start from 1)BinMaxY
- Max index for Y integration (included to integration)- Returns:
- integral (sum of all heights)
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integral
public double integral(int BinMinX, int BinMaxX, int BinMinY, int BinMaxY, boolean timesBinWidth)
Integrate histogram between two indices. The integral is computed as the sum of bin contents in the range if the last parameter is false. If it is true, he integral is the sum of the bin contents multiplied by the bin width in x.- Parameters:
BinMinX
- Min index for X integration (included to integration, start from 1)BinMaxX
- Max index for X integration (included to integration)BinMinY
- Min index for Y integration (included to integration, start from 1)BinMaxY
- Max index for Y integration (included to integration)timesBinWidth
- If true, the integral is the sum of the bin contents multiplied by the bin width in x.- Returns:
- integral (sum of all heights)
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compareChi2
public java.util.Map<java.lang.String,java.lang.Double> compareChi2(F2D f1)
Compare the histogram with a function. The comparison tests hypotheses that the histogram represent identical distribution with a function using Pearson's chi-squared test. The number chi2/ndf gives the estimate (values close to 1 indicates similarity between 2 histograms.). the function and histogram are identical if chi2=0. Chi2/ndf and p-value probability is 1. Maken sure that statistical errors are included correctly. Data with zero errors will be ignored.- Parameters:
f1
- function to compare to.- Returns:
- map with the result. It gives Chi2, gives number of degrees of freedom (ndf), probability ("quality", or p-value).
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compareChi2
public java.util.Map<java.lang.String,java.lang.Double> compareChi2(H2D h2)
Compare two 2D histograms. Comparison of two histograms test hypotheses that two histograms represent identical distributions. It calculates Chi2 between 2 histograms taking into account errors on the heights of the bins. The number chi2/ndf gives the estimate (values close to 1 indicates similarity between 2 histograms.) Two histograms are identical if chi2=0. Chi2/ndf]. Probability (p-value) is 1. Make sure that both histograms have error (or set them to small values).- Parameters:
h2
- second histogram to compare- Returns:
- results. It gives Chi2, the number of degrees of freedom (ndf), and probability ("quality", or p-value).
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doc
public void doc()
Show online documentation.
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