The Gaudi Framework  v36r9p1 (5c15b2bb)
Gaudi::Histogram1D Class Reference

#include </builds/gaudi/Gaudi/GaudiCommonSvc/include/GaudiCommonSvc/H1D.h>

Inheritance diagram for Gaudi::Histogram1D:
Collaboration diagram for Gaudi::Histogram1D:

Public Member Functions

 Histogram1D ()
 Standard constructor. More...
 
 Histogram1D (TH1D *rep)
 Standard constructor with initialization. The histogram representation will be adopted. More...
 
void adoptRepresentation (TObject *rep) override
 Adopt ROOT histogram representation. More...
 
virtual bool setBinContents (int i, int entries, double height, double error, double centre)
 set bin content (entries and centre are not used ) More...
 
bool reset () override
 need to overwrite reset to reset the sums More...
 
virtual bool setStatistics (int allEntries, double eqBinEntries, double mean, double rms)
 set histogram statistics More...
 
bool fill (double x, double weight) override
 Fill the Profile1D with a value and the corresponding weight. More...
 
bool setRms (double rms)
 Update histogram RMS. More...
 
void copyFromAida (const AIDA::IHistogram1D &h)
 Create new histogram from any AIDA based histogram. More...
 
const CLIDclID () const override
 Retrieve reference to class defininition identifier. More...
 
StreamBufferserialize (StreamBuffer &s)
 Serialization mechanism, Serialize the object for reading. More...
 
StreamBufferserialize (StreamBuffer &s) const
 Serialization mechanism, Serialize the object for writing. More...
 
- Public Member Functions inherited from DataObject
 DataObject ()
 Standard Constructor. More...
 
 DataObject (const DataObject &rhs)
 Copy Constructor. More...
 
DataObjectoperator= (const DataObject &rhs)
 Assignment Operator. More...
 
 DataObject (DataObject &&rhs)
 Move Constructor. More...
 
DataObjectoperator= (DataObject &&rhs)
 Move Assignment Operator. More...
 
virtual ~DataObject ()
 Standard Destructor. More...
 
virtual unsigned long addRef ()
 Add reference to object. More...
 
virtual unsigned long release ()
 release reference to object More...
 
const std::stringname () const
 Retreive DataObject name. It is the name when registered in the store. More...
 
virtual StatusCode update ()
 Provide empty placeholder for internal object reconfiguration callback. More...
 
void setRegistry (IRegistry *pRegistry)
 Set pointer to Registry. More...
 
IRegistryregistry () const
 Get pointer to Registry. More...
 
LinkManagerlinkMgr ()
 Retrieve Link manager. More...
 
const LinkManagerlinkMgr () const
 
unsigned char version () const
 Retrieve version number of this object representation. More...
 
void setVersion (unsigned char vsn)
 Set version number of this object representation. More...
 
unsigned long refCount () const
 Return the refcount. More...
 
virtual std::ostreamfillStream (std::ostream &s) const
 Fill the output stream (ASCII) More...
 
- Public Member Functions inherited from Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >
 Generic1D ()=default
 Default constructor. More...
 
virtual const std::stringuserLevelClassType () const
 The AIDA user-level unterface leaf class type. More...
 
void * cast (const std::string &cl) const override
 Manual cast by class name. More...
 
void * cast (const std::string &className) const
 
void * cast (const std::string &className) const
 
TObject * representation () const override
 ROOT object implementation. More...
 
void adoptRepresentation (TObject *rep) override
 Adopt ROOT histogram representation. More...
 
void adoptRepresentation (TObject *rep)
 Adopt ROOT histogram representation. More...
 
void adoptRepresentation (TObject *rep)
 Adopt ROOT histogram representation. More...
 
std::string title () const override
 Get the title of the object. More...
 
bool setTitle (const std::string &title) override
 Set the title of the object. More...
 
std::string name () const
 object name More...
 
bool setName (const std::string &newName)
 Set the name of the object. More...
 
AIDA::IAnnotation & annotation () override
 Access annotation object. More...
 
const AIDA::IAnnotation & annotation () const override
 Access annotation object (cons) More...
 
Axisaxis ()
 Access to axis object. More...
 
const Axisaxis () const override
 Get the x axis of the IHistogram1D. More...
 
int entries () const override
 Get the number or all the entries. More...
 
int allEntries () const override
 Get the number or all the entries, both in range and underflow/overflow bins of the IProfile. More...
 
int extraEntries () const override
 Get the number of entries in the underflow and overflow bins. More...
 
int binEntries (int index) const override
 Number of entries in the corresponding bin (ie the number of times fill was called for this bin). More...
 
int binEntries (int index) const
 
int binEntries (int index) const
 
virtual double binRms (int index) const
 
double sumBinHeights () const override
 Get the sum of in range bin heights in the IProfile. More...
 
double sumAllBinHeights () const override
 Get the sum of all the bins heights (including underflow and overflow bin). More...
 
double sumExtraBinHeights () const override
 Get the sum of the underflow and overflow bin height. More...
 
double minBinHeight () const override
 Get the minimum height of the in-range bins. More...
 
double maxBinHeight () const override
 Get the maximum height of the in-range bins. More...
 
virtual double equivalentBinEntries () const
 Number of equivalent entries, i.e. SUM[ weight ] ^ 2 / SUM[ weight^2 ] More...
 
virtual bool scale (double scaleFactor)
 Scale the weights and the errors of all the IHistogram's bins (in-range and out-of-range ones) by a given scale factor. More...
 
bool reset () override
 Reset the Histogram; as if just created. More...
 
bool add (const AIDA::IHistogram1D &profile) override
 Modifies this IProfile1D by adding the contents of profile to it. More...
 
virtual int rIndex (int index) const
 operator methods More...
 
double binMean (int index) const override
 The weighted mean of a bin. More...
 
double binHeight (int index) const override
 Total height of the corresponding bin (ie the sum of the weights in this bin). More...
 
double binError (int index) const override
 The error of a given bin. More...
 
double mean () const override
 The mean of the whole IHistogram1D. More...
 
double rms () const override
 The RMS of the whole IHistogram1D. More...
 
int coordToIndex (double coord) const override
 Get the bin number corresponding to a given coordinate along the x axis. More...
 
int dimension () const override
 Get the Histogram's dimension. More...
 
std::ostreamprint (std::ostream &s) const override
 Print (ASCII) the histogram into the output stream. More...
 
std::ostreamwrite (std::ostream &s) const override
 Write (ASCII) the histogram table into the output stream. More...
 
int write (const char *file_name) const override
 Write (ASCII) the histogram table into a file. More...
 
- Public Member Functions inherited from Gaudi::HistogramBase
virtual TObject * representation () const =0
 ROOT object implementation. More...
 
virtual ~HistogramBase ()=default
 

Static Public Member Functions

static const CLIDclassID ()
 
- Static Public Member Functions inherited from DataObject
static const CLIDclassID ()
 Retrieve reference to class definition structure (static access) More...
 

Protected Attributes

double m_sumwx = 0
 cache sumwx when setting contents since I don't have bin mean More...
 
- Protected Attributes inherited from Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >
Axis m_axis
 Axis member. More...
 
AIDA::Annotation m_annotation
 Object annotations. More...
 
std::unique_ptr< TH1D > m_rep
 Reference to underlying implementation. More...
 
std::string m_classType
 
int m_sumEntries
 

Private Member Functions

void init (const std::string &title, bool initialize_axis=true)
 
void initSums ()
 

Private Attributes

std::mutex m_fillSerialization
 

Additional Inherited Members

- Public Types inherited from Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >
typedef Generic1D< AIDA::IHistogram1D, TH1D > Base
 
- Protected Member Functions inherited from Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >
 Generic1D (TH1D *p)
 constructor More...
 

Detailed Description

AIDA implementation for 1 D histograms using ROOT THD1

Author
M.Frank

Definition at line 29 of file H1D.h.

Constructor & Destructor Documentation

◆ Histogram1D() [1/2]

Gaudi::Histogram1D::Histogram1D ( )

Standard constructor.

Definition at line 68 of file H1D.cpp.

68 : Base( new TH1D() ) { init( "", false ); }

◆ Histogram1D() [2/2]

Gaudi::Histogram1D::Histogram1D ( TH1D *  rep)

Standard constructor with initialization. The histogram representation will be adopted.

Definition at line 70 of file H1D.cpp.

70  {
71  m_rep.reset( rep );
72  init( m_rep->GetTitle() );
73  initSums();
74 }

Member Function Documentation

◆ adoptRepresentation()

void Gaudi::Histogram1D::adoptRepresentation ( TObject *  rep)
overridevirtual

Adopt ROOT histogram representation.

Implements Gaudi::HistogramBase.

Definition at line 103 of file H1D.cpp.

103  {
105  if ( m_rep ) {
106  init( m_rep->GetTitle() );
107  initSums();
108  }
109 }

◆ classID()

static const CLID& Gaudi::Histogram1D::classID ( )
inlinestatic

Definition at line 60 of file H1D.h.

60 { return CLID_H1D; }

◆ clID()

const CLID& Gaudi::Histogram1D::clID ( ) const
inlineoverridevirtual

Retrieve reference to class defininition identifier.

Reimplemented from DataObject.

Definition at line 59 of file H1D.h.

59 { return classID(); }

◆ copyFromAida()

void Gaudi::Histogram1D::copyFromAida ( const AIDA::IHistogram1D &  h)

Create new histogram from any AIDA based histogram.

Definition at line 166 of file H1D.cpp.

166  {
167  // implement here the copy
168  std::string title = h.title() + "Copy";
169  if ( h.axis().isFixedBinning() ) {
170  m_rep.reset(
171  new TH1D( title.c_str(), title.c_str(), h.axis().bins(), h.axis().lowerEdge(), h.axis().upperEdge() ) );
172  } else {
173  Edges e;
174  for ( int i = 0; i < h.axis().bins(); ++i ) { e.push_back( h.axis().binLowerEdge( i ) ); }
175  // add also upperedges at the end
176  e.push_back( h.axis().upperEdge() );
177  m_rep.reset( new TH1D( title.c_str(), title.c_str(), e.size() - 1, &e.front() ) );
178  }
179  m_axis.initialize( m_rep->GetXaxis(), false );
180  m_rep->Sumw2();
181  m_sumEntries = 0;
182  m_sumwx = 0;
183  // sumw
184  double sumw = h.sumBinHeights();
185  // sumw2
186  double sumw2 = 0;
187  if ( h.equivalentBinEntries() != 0 ) sumw2 = ( sumw * sumw ) / h.equivalentBinEntries();
188 
189  double sumwx = h.mean() * h.sumBinHeights();
190  double sumwx2 = ( h.mean() * h.mean() + h.rms() * h.rms() ) * h.sumBinHeights();
191 
192  // copy the contents in
193  for ( int i = -2; i < axis().bins(); ++i ) {
194  // root binning starts from one !
195  m_rep->SetBinContent( rIndex( i ), h.binHeight( i ) );
196  m_rep->SetBinError( rIndex( i ), h.binError( i ) );
197  }
198  // need to do set entries after setting contents otherwise root will recalulate them
199  // taking into account how many time SetBinContents() has been called
200  m_rep->SetEntries( h.allEntries() );
201  // stat vector
202  std::vector<double> stat( 11 );
203  stat[0] = sumw;
204  stat[1] = sumw2;
205  stat[2] = sumwx;
206  stat[3] = sumwx2;
207  m_rep->PutStats( &stat.front() );
208 }

◆ fill()

bool Gaudi::Histogram1D::fill ( double  x,
double  weight 
)
override

Fill the Profile1D with a value and the corresponding weight.

Definition at line 159 of file H1D.cpp.

159  {
160  // avoid race conditions when filling the histogram
161  auto guard = std::scoped_lock{ m_fillSerialization };
162  ( weight == 1. ) ? m_rep->Fill( x ) : m_rep->Fill( x, weight );
163  return true;
164 }

◆ init()

void Gaudi::Histogram1D::init ( const std::string title,
bool  initialize_axis = true 
)
private

Definition at line 76 of file H1D.cpp.

76  {
77  m_classType = "IHistogram1D";
78  if ( initialize_axis ) { m_axis.initialize( m_rep->GetXaxis(), false ); }
79  const TArrayD* a = m_rep->GetSumw2();
80  if ( !a || ( a && a->GetSize() == 0 ) ) m_rep->Sumw2();
81  setTitle( title );
82  m_rep->SetDirectory( nullptr );
83  m_sumEntries = 0;
84  m_sumwx = 0;
85 }

◆ initSums()

void Gaudi::Histogram1D::initSums ( )
private

Definition at line 87 of file H1D.cpp.

87  {
88  m_sumwx = 0;
89  m_sumEntries = 0;
90  for ( int i = 1, n = m_rep->GetNbinsX(); i <= n; ++i ) {
91  m_sumwx += m_rep->GetBinContent( i ) * m_rep->GetBinCenter( i );
92  m_sumEntries += m_rep->GetBinContent( i );
93  }
94 }

◆ reset()

bool Gaudi::Histogram1D::reset ( )
override

need to overwrite reset to reset the sums

Definition at line 96 of file H1D.cpp.

96  {
97  m_sumwx = 0;
98  m_sumEntries = 0;
99  return Base::reset();
100 }

◆ serialize() [1/2]

StreamBuffer & Gaudi::Histogram1D::serialize ( StreamBuffer s)

Serialization mechanism, Serialize the object for reading.

Parameters
sthe StreamBuffer containing the data to be read
Returns
the resulting StreamBuffer, after reading

Definition at line 215 of file H1D.cpp.

215  {
216  // DataObject::serialize(s);
218  int size;
219  s >> size;
220  for ( int j = 0; j < size; j++ ) {
221  std::string key, value;
222  s >> key >> value;
223  if ( !annotation().addItem( key, value ) ) { annotation().setValue( key, value ); };
224  if ( "Title" == key ) { title = value; }
225  }
226  double lowerEdge, upperEdge, binHeight, binError;
227  int isFixedBinning, bins;
228  s >> isFixedBinning >> bins;
229 
230  if ( isFixedBinning ) {
231  s >> lowerEdge >> upperEdge;
232  m_rep.reset( new TH1D( title.c_str(), title.c_str(), bins, lowerEdge, upperEdge ) );
233  } else {
234  Edges edges;
235  edges.resize( bins );
236  for ( int i = 0; i <= bins; ++i ) s >> edges[i];
237  m_rep.reset( new TH1D( title.c_str(), title.c_str(), edges.size() - 1, &edges.front() ) );
238  }
239  m_axis.initialize( m_rep->GetXaxis(), true );
240  m_rep->Sumw2();
241  m_sumEntries = 0;
242  m_sumwx = 0;
243 
244  for ( int i = 0; i <= bins + 1; ++i ) {
245  s >> binHeight >> binError;
246  m_rep->SetBinContent( i, binHeight );
247  m_rep->SetBinError( i, binError );
248  }
249  Stat_t allEntries;
250  s >> allEntries;
251  m_rep->SetEntries( allEntries );
252  Stat_t stats[4]; // stats array
253  s >> stats[0] >> stats[1] >> stats[2] >> stats[3];
254  m_rep->PutStats( stats );
255  return s;
256 }

◆ serialize() [2/2]

StreamBuffer & Gaudi::Histogram1D::serialize ( StreamBuffer s) const

Serialization mechanism, Serialize the object for writing.

Parameters
sthe StreamBuffer where to write the data
Returns
the resulting StreamBuffer, after wrinting

Definition at line 258 of file H1D.cpp.

258  {
259  // DataObject::serialize(s);
260  s << static_cast<int>( annotation().size() );
261  for ( int i = 0; i < annotation().size(); i++ ) {
262  s << annotation().key( i );
263  s << annotation().value( i );
264  }
265  const AIDA::IAxis& axis( this->axis() );
266  const int isFixedBinning = axis.isFixedBinning();
267  const int bins = axis.bins();
268  s << isFixedBinning << bins;
269  if ( isFixedBinning ) {
270  s << axis.lowerEdge();
271  } else {
272  for ( int i = 0; i < bins; ++i ) s << axis.binLowerEdge( i );
273  }
274  s << axis.upperEdge();
275  for ( int i = 0; i <= bins + 1; ++i ) s << m_rep->GetBinContent( i ) << m_rep->GetBinError( i );
276 
277  s << m_rep->GetEntries();
278  Stat_t stats[4]; // stats array
279  m_rep->GetStats( stats );
280  s << stats[0] << stats[1] << stats[2] << stats[3];
281  return s;
282 }

◆ setBinContents()

bool Gaudi::Histogram1D::setBinContents ( int  i,
int  entries,
double  height,
double  error,
double  centre 
)
virtual

set bin content (entries and centre are not used )

Definition at line 111 of file H1D.cpp.

111  {
112  m_rep->SetBinContent( rIndex( i ), height );
113  m_rep->SetBinError( rIndex( i ), error );
114  // accumulate sumwx for in range bins
115  if ( i != AIDA::IAxis::UNDERFLOW_BIN && i != AIDA::IAxis::OVERFLOW_BIN ) m_sumwx += centre * height;
117  return true;
118 }

◆ setRms()

bool Gaudi::Histogram1D::setRms ( double  rms)

Update histogram RMS.

Definition at line 126 of file H1D.cpp.

126  {
127  m_rep->SetEntries( m_sumEntries );
128  std::vector<double> stat( 11 );
129  // sum weights
130  stat[0] = sumBinHeights();
131  stat[1] = 0;
132  if ( equivalentBinEntries() != 0 ) stat[1] = ( sumBinHeights() * sumBinHeights() ) / equivalentBinEntries();
133  stat[2] = m_sumwx;
134  double mean = 0;
135  if ( sumBinHeights() != 0 ) mean = m_sumwx / sumBinHeights();
136  stat[3] = ( mean * mean + rms * rms ) * sumBinHeights();
137  m_rep->PutStats( &stat.front() );
138  return true;
139 }

◆ setStatistics()

bool Gaudi::Histogram1D::setStatistics ( int  allEntries,
double  eqBinEntries,
double  mean,
double  rms 
)
virtual

set histogram statistics

Definition at line 142 of file H1D.cpp.

142  {
143  m_rep->SetEntries( allEntries );
144  // fill statistcal vector for Root
145  std::vector<double> stat( 11 );
146  // sum weights
147  stat[0] = sumBinHeights();
148  // sum weights **2
149  stat[1] = 0;
150  if ( eqBinEntries != 0 ) stat[1] = ( sumBinHeights() * sumBinHeights() ) / eqBinEntries;
151  // sum weights * x
152  stat[2] = mean * sumBinHeights();
153  // sum weight * x **2
154  stat[3] = ( mean * mean + rms * rms ) * sumBinHeights();
155  m_rep->PutStats( &stat.front() );
156  return true;
157 }

Member Data Documentation

◆ m_fillSerialization

std::mutex Gaudi::Histogram1D::m_fillSerialization
private

Definition at line 74 of file H1D.h.

◆ m_sumwx

double Gaudi::Histogram1D::m_sumwx = 0
protected

cache sumwx when setting contents since I don't have bin mean

Definition at line 36 of file H1D.h.


The documentation for this class was generated from the following files:
std::vector::resize
T resize(T... args)
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::m_classType
std::string m_classType
Definition: Generic1D.h:143
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::m_rep
std::unique_ptr< TH1D > m_rep
Reference to underlying implementation.
Definition: Generic1D.h:141
std::string
STL class.
details::size
constexpr auto size(const T &, Args &&...) noexcept
Definition: AnyDataWrapper.h:22
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::binError
double binError(int index) const override
The error of a given bin.
Definition: Generic1D.h:179
Gaudi::Histogram1D::m_sumwx
double m_sumwx
cache sumwx when setting contents since I don't have bin mean
Definition: H1D.h:36
Gaudi::Axis::upperEdge
double upperEdge() const override
Get the upper edge of the IAxis.
Definition: Axis.h:84
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::Base
Generic1D< AIDA::IHistogram1D, TH1D > Base
Definition: Generic1D.h:48
gaudirun.s
string s
Definition: gaudirun.py:346
std::vector< double >
Gaudi::Generic1D::adoptRepresentation
void adoptRepresentation(TObject *rep) override
Adopt ROOT histogram representation.
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::entries
int entries() const override
Get the number or all the entries.
Definition: Generic1D.h:83
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::axis
Axis & axis()
Access to axis object.
Definition: Generic1D.h:78
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::title
std::string title() const override
Get the title of the object.
Definition: Generic1D.h:66
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::rIndex
virtual int rIndex(int index) const
operator methods
Definition: Generic1D.h:113
std::unique_ptr::reset
T reset(T... args)
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::rms
double rms() const override
The RMS of the whole IHistogram1D.
Definition: Generic1D.h:123
std::vector::push_back
T push_back(T... args)
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::m_sumEntries
int m_sumEntries
Definition: Generic1D.h:145
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::allEntries
int allEntries() const override
Get the number or all the entries, both in range and underflow/overflow bins of the IProfile.
Definition: Generic1D.h:85
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::binHeight
double binHeight(int index) const override
Total height of the corresponding bin (ie the sum of the weights in this bin).
Definition: Generic1D.h:174
std::string::c_str
T c_str(T... args)
Gaudi::Axis::initialize
void initialize(TAxis *itaxi, bool)
Definition: Axis.h:63
AlgSequencer.h
h
Definition: AlgSequencer.py:32
Gaudi::Histogram1D::classID
static const CLID & classID()
Definition: H1D.h:60
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::sumBinHeights
double sumBinHeights() const override
Get the sum of in range bin heights in the IProfile.
Definition: Generic1D.h:93
Gaudi::Histogram1D::init
void init(const std::string &title, bool initialize_axis=true)
Definition: H1D.cpp:76
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::m_axis
Axis m_axis
Axis member.
Definition: Generic1D.h:137
GaudiPluginService.cpluginsvc.n
n
Definition: cpluginsvc.py:235
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::mean
double mean() const override
The mean of the whole IHistogram1D.
Definition: Generic1D.h:121
Gaudi::Edges
std::vector< double > Edges
Definition: GaudiPI.h:27
Gaudi::Axis::lowerEdge
double lowerEdge() const override
Get the lower edge of the IAxis.
Definition: Axis.h:77
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::reset
bool reset() override
Reset the Histogram; as if just created.
Definition: Generic1D.h:188
Gaudi::Histogram1D::m_fillSerialization
std::mutex m_fillSerialization
Definition: H1D.h:74
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::setTitle
bool setTitle(const std::string &title) override
Set the title of the object.
Definition: Generic1D.h:149
Gaudi::Axis::binLowerEdge
double binLowerEdge(int index) const override
Get the lower edge of the specified bin.
Definition: Axis.h:100
Gaudi::Axis::bins
int bins() const override
The number of bins (excluding underflow and overflow) on the IAxis.
Definition: Axis.h:91
Gaudi::Axis::isFixedBinning
bool isFixedBinning() const override
Check if the IAxis has fixed binning, i.e.
Definition: Axis.h:70
Gaudi::Histogram1D::initSums
void initSums()
Definition: H1D.cpp:87
ProduceConsume.key
key
Definition: ProduceConsume.py:81
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::annotation
AIDA::IAnnotation & annotation() override
Access annotation object.
Definition: Generic1D.h:74
Gaudi::Generic1D< AIDA::IHistogram1D, TH1D >::equivalentBinEntries
virtual double equivalentBinEntries() const
Number of equivalent entries, i.e. SUM[ weight ] ^ 2 / SUM[ weight^2 ]
Definition: Generic1D.h:195