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MomentumConstraint Class Reference

Implements a constraint of the form efact*sum(E)+pxfact*sum(px)+pyfact*sum(py)+pzfact*sum(pz)=value. More...

#include <MomentumConstraint.h>

Inheritance diagram for MomentumConstraint:
ParticleConstraint BaseHardConstraint BaseConstraint

Public Member Functions

 MomentumConstraint (double efact_=0, double pxfact_=0, double pyfact_=0, double pzfact_=0, double value_=0)
 
virtual double getValue () const override
 Returns the value of the constraint.
 
virtual void getDerivatives (int idim, double der[]) const override
 Get first order derivatives.
 
virtual void invalidateCache () const override
 Invalidates any cached values for the next event.
 
virtual int getVarBasis () const override
 
virtual void setFOList (std::vector< ParticleFitObject * > *fitobjects_)
 Adds several ParticleFitObject objects to the list.
 
virtual void addToFOList (ParticleFitObject &fitobject, int flag=1)
 Adds one ParticleFitObject objects to the list.
 
virtual void resetFOList ()
 Resests ParticleFitObject list.
 
virtual void add1stDerivativesToMatrix (double *M, int idim) const
 Adds first order derivatives to global covariance matrix M.
 
virtual void add2ndDerivativesToMatrix (double *M, int idim, double lambda) const
 Adds second order derivatives to global covariance matrix M.
 
virtual void addToGlobalChi2DerVector (double *y, int idim, double lambda) const
 Add lambda times derivatives of chi squared to global derivative vector.
 
virtual double dirDer (double *p, double *w, int idim, double mu=1)
 Calculate directional derivative.
 
virtual double dirDerAbs (double *p, double *w, int idim, double mu=1)
 Calculate directional derivative for abs(c)
 
virtual double getError () const override
 Returns the error on the value of the constraint.
 
virtual int getGlobalNum () const
 Accesses position of constraint in global constraint list.
 
virtual void setGlobalNum (int iglobal)
 Sets position of constraint in global constraint list.
 
virtual void printFirstDerivatives () const
 
virtual void printSecondDerivatives () const
 
virtual void test1stDerivatives ()
 
virtual void test2ndDerivatives ()
 
virtual double num1stDerivative (int ifo, int ilocal, double eps)
 Evaluates numerically the 1st derivative w.r.t. a parameter.
 
virtual double num2ndDerivative (int ifo1, int ilocal1, double eps1, int ifo2, int ilocal2, double eps2)
 Evaluates numerically the 2nd derivative w.r.t. 2 parameters.
 
virtual const char * getName () const
 Returns the name of the constraint.
 
void setName (const char *name_)
 Set object's name.
 
virtual std::ostream & print (std::ostream &os) const
 print object to ostream
 

Protected Types

enum  { VAR_BASIS = 0 }
 
typedef std::vector< BaseFitObject * > FitObjectContainer
 Vector of pointers to ParticleFitObjects.
 
typedef FitObjectContainer::iterator FitObjectIterator
 Iterator through vector of pointers to ParticleFitObjects.
 
typedef FitObjectContainer::const_iterator ConstFitObjectIterator
 Constant iterator through vector of pointers to ParticleFitObjects.
 

Protected Member Functions

void updateCache () const
 
virtual bool secondDerivatives (int i, int j, double *derivatives) const override
 Second derivatives with respect to the 4-vectors of Fit objects i and j; result false if all derivatives are zero.
 
virtual bool firstDerivatives (int i, double *derivatives) const override
 First derivatives with respect to the 4-vector of Fit objects i; result false if all derivatives are zero.
 

Protected Attributes

double efact
 
double pxfact
 
double pyfact
 
double pzfact
 
double value
 
bool cachevalid
 
int nparams
 
FitObjectContainer fitobjects
 The FitObjectContainer.
 
std::vector< double > derivatives
 The derivatives.
 
std::vector< int > flags
 The flags can be used to divide the FitObjectContainer into several subsets used for example to implement an equal mass constraint (see MassConstraint).
 
int globalNum
 Position of constraint in global constraint list.
 
char * name
 

Related Functions

(Note that these are not member functions.)

std::ostream & operator<< (std::ostream &os, const BaseConstraint &bc)
 Prints out a BaseConstraint, using its print method.
 

Detailed Description

Implements a constraint of the form efact*sum(E)+pxfact*sum(px)+pyfact*sum(py)+pzfact*sum(pz)=value.

Author: Jenny List, Benno List Last update:

Date
2008/02/18 09:59:34

by:

Author
blist

Definition at line 41 of file MomentumConstraint.h.

Member Typedef Documentation

◆ ConstFitObjectIterator

typedef FitObjectContainer::const_iterator ConstFitObjectIterator
protectedinherited

Constant iterator through vector of pointers to ParticleFitObjects.

Definition at line 175 of file BaseHardConstraint.h.

◆ FitObjectContainer

typedef std::vector<BaseFitObject*> FitObjectContainer
protectedinherited

Vector of pointers to ParticleFitObjects.

Definition at line 171 of file BaseHardConstraint.h.

◆ FitObjectIterator

typedef FitObjectContainer::iterator FitObjectIterator
protectedinherited

Iterator through vector of pointers to ParticleFitObjects.

Definition at line 173 of file BaseHardConstraint.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum
protected

Definition at line 87 of file MomentumConstraint.h.

87{ VAR_BASIS = 0 }; // this means that the constraint knows about E,px,py,pz

Constructor & Destructor Documentation

◆ MomentumConstraint()

MomentumConstraint ( double  efact_ = 0,
double  pxfact_ = 0,
double  pyfact_ = 0,
double  pzfact_ = 0,
double  value_ = 0 
)
Parameters
efact_Factor for energy sum
pxfact_Factor for px sum
pyfact_Factor for py sum
pzfact_Factor for pz sum
value_Target value of sum

Definition at line 34 of file MomentumConstraint.cc.

36 : efact(efact_),
37 pxfact(pxfact_),
38 pyfact(pyfact_),
39 pzfact(pzfact_),
40 value(value_),
41 cachevalid(false),
42 nparams(0)
43 {}

Member Function Documentation

◆ add1stDerivativesToMatrix()

void add1stDerivativesToMatrix ( double *  M,
int  idim 
) const
virtualinherited

Adds first order derivatives to global covariance matrix M.

Parameters
MGlobal covariance matrix, dimension at least idim x idim
idimFirst dimension of array der

Definition at line 37 of file BaseHardConstraint.cc.

38 {
39 double dgdpi[BaseDefs::MAXINTERVARS];
40 for (unsigned int i = 0; i < fitobjects.size(); ++i) {
41 const BaseFitObject* foi = fitobjects[i];
42 assert(foi);
43 if (firstDerivatives(i, dgdpi)) {
44 foi->addTo1stDerivatives(M, idim, dgdpi, getGlobalNum(), getVarBasis());
45 }
46 }
47 }
Belle2::OrcaKinFit::BaseHardConstraint::getGlobalNum
virtual int getGlobalNum() const
Accesses position of constraint in global constraint list.
Definition: BaseHardConstraint.h:137
Belle2::OrcaKinFit::BaseHardConstraint::fitobjects
FitObjectContainer fitobjects
The FitObjectContainer.
Definition: BaseHardConstraint.h:177
Belle2::OrcaKinFit::BaseHardConstraint::firstDerivatives
virtual bool firstDerivatives(int i, double *derivatives) const =0
First derivatives with respect to the meta-variables of Fit objects i; result false if all derivative...

◆ add2ndDerivativesToMatrix()

void add2ndDerivativesToMatrix ( double *  M,
int  idim,
double  lambda 
) const
virtualinherited

Adds second order derivatives to global covariance matrix M.

Calculates the second derivative of the constraint g w.r.t.

the various parameters, multiplies it by lambda and adds it to the global covariance matrix

in case of particlefitobject: We denote with P_i the 4-vector of the i-th ParticleFitObject, then

\[ \frac{\partial ^2 g}{\partial a_k \partial a_l} = \sum_i \sum_j \frac{\partial ^2 g}{\partial P_i \partial P_j} \cdot \frac{\partial P_i}{\partial a_k} \cdot \frac{\partial P_j}{\partial a_l} + \sum_i \frac{\partial g}{\partial P_i} \cdot \frac{\partial^2 P_i}{\partial a_k \partial a_l} \]

Here, $\frac{\partial P_i}{\partial a_k}$ is a $4 \times n_i$ Matrix, where $n_i$ is the number of parameters of FitObject i; Correspondingly, $\frac{\partial^2 P_i}{\partial a_k \partial a_l}$ is a $4 \times n_i \times n_i$ matrix. Also, $\frac{\partial ^2 g}{\partial P_i \partial P_j}$ is a $4\times 4$ matrix for a given i and j, and $\frac{\partial g}{\partial P_i}$ is a 4-vector (though not a Lorentz-vector!).

but here it's been generalised

First, treat the part

\[ \frac{\partial ^2 g}{\partial P_i \partial P_j} \cdot \frac{\partial P_i}{\partial a_k} \cdot \frac{\partial P_j}{\partial a_l} \]

Second, treat the part

\[ \sum_i \frac{\partial g}{\partial P_i} \cdot \frac{\partial^2 P_i}{\partial a_k \partial a_l} \]

Here, $\frac{\partial g}{\partial P_i}$ is a 4-vector, which we pass on to the FitObject

Parameters
MGlobal covariance matrix, dimension at least idim x idim
idimFirst dimension of array der
lambdaLagrange multiplier for this constraint

Definition at line 76 of file BaseHardConstraint.cc.

77 {
78
85 // Derivatives \f$\frac{\partial ^2 g}{\partial P_i \partial P_j}\f$ at fixed i, j
86 // d2GdPidPj[4*ii+jj] is derivative w.r.t. P_i,ii and P_j,jj, where ii=0,1,2,3 for E,px,py,pz
87 double d2GdPidPj[BaseDefs::MAXINTERVARS * BaseDefs::MAXINTERVARS];
88
89 // Derivatives \f$\frac {\partial P_i}{\partial a_k}\f$ for all i;
90 // k is local parameter number
91 // dPidAk[KMAX*4*i + 4*k + ii] is \f$\frac {\partial P_{i,ii}}{\partial a_k}\f$,
92 // with ii=0, 1, 2, 3 for E, px, py, pz
93 const int n = fitobjects.size();
94 auto* dPidAk = new double[n * BaseDefs::MAXPAR * BaseDefs::MAXINTERVARS];
95 bool* dPidAkval = new bool[n];
96
97 for (int i = 0; i < n; ++i) dPidAkval[i] = false;
98
99 // Derivatives \f$\frac{\partial ^2 g}{\partial P_i \partial a_l}\f$ at fixed i
100 // d2GdPdAl[4*l + ii] is \f$\frac{\partial ^2 g}{\partial P_{i,ii} \partial a_l}\f$
101 double d2GdPdAl[static_cast<int>(BaseDefs::MAXINTERVARS) * BaseDefs::MAXPAR];
102 // Derivatives \f$\frac{\partial ^2 g}{\partial a_k \partial a_l}\f$
103 double d2GdAkdAl[BaseDefs::MAXPAR * BaseDefs::MAXPAR] = {0};
104
105 // Global parameter numbers: parglobal[BaseDefs::MAXPAR*i+klocal]
106 // is global parameter number of local parameter klocal of i-th Fit object
107 int* parglobal = new int[BaseDefs::MAXPAR * n];
108
109 for (int i = 0; i < n; ++i) {
110 const BaseFitObject* foi = fitobjects[i];
111 assert(foi);
112 for (int klocal = 0; klocal < foi->getNPar(); ++klocal) {
113 parglobal [BaseDefs::MAXPAR * i + klocal] = foi->getGlobalParNum(klocal);
114 }
115 }
116
117
118 for (int i = 0; i < n; ++i) {
119 const BaseFitObject* foi = fitobjects[i];
120 assert(foi);
121 for (int j = 0; j < n; ++j) {
122 const BaseFitObject* foj = fitobjects[j];
123 assert(foj);
124 if (secondDerivatives(i, j, d2GdPidPj)) {
125 if (!dPidAkval[i]) {
126 foi->getDerivatives(dPidAk + i * (static_cast<int>(BaseDefs::MAXPAR) * BaseDefs::MAXINTERVARS),
127 static_cast<int>(BaseDefs::MAXPAR) * BaseDefs::MAXINTERVARS);
128 dPidAkval[i] = true;
129 }
130 if (!dPidAkval[j]) {
131 foj->getDerivatives(dPidAk + j * (static_cast<int>(BaseDefs::MAXPAR) * BaseDefs::MAXINTERVARS),
132 static_cast<int>(BaseDefs::MAXPAR) * BaseDefs::MAXINTERVARS);
133 dPidAkval[j] = true;
134 }
135 // Now sum over E/px/Py/Pz for object j:
136 // \f[
137 // \frac{\partial ^2 g}{\partial P_{i,ii} \partial a_l}
138 // = (sum_{j}) sum_{jj} frac{\partial ^2 g}{\partial P_{i,ii} \partial P_{j,jj}}
139 // \cdot \frac{\partial P_{j,jj}}{\partial a_l}
140 // \f]
141 // We're summing over jj here
142 for (int llocal = 0; llocal < foj->getNPar(); ++llocal) {
143 for (int ii = 0; ii < BaseDefs::MAXINTERVARS; ++ii) {
144 int ind1 = BaseDefs::MAXINTERVARS * ii;
145 int ind2 = (static_cast<int>(BaseDefs::MAXPAR) * BaseDefs::MAXINTERVARS) * j + BaseDefs::MAXINTERVARS * llocal;
146 double& r = d2GdPdAl[BaseDefs::MAXINTERVARS * llocal + ii];
147 r = d2GdPidPj[ ind1] * dPidAk[ ind2]; // E
148 r += d2GdPidPj[++ind1] * dPidAk[++ind2]; // px
149 r += d2GdPidPj[++ind1] * dPidAk[++ind2]; // py
150 r += d2GdPidPj[++ind1] * dPidAk[++ind2]; // pz
151 }
152 }
153 // Now sum over E/px/Py/Pz for object i, i.e. sum over ii:
154 // \f[
155 // \frac{\partial ^2 g}{\partial a_k \partial a_l}
156 // = \sum_{ii} \frac{\partial ^2 g}{\partial P_{i,ii} \partial a_l} \cdot
157 // \frac{\partial P_{i,ii}}{\partial a_k}
158 // \f]
159 for (int klocal = 0; klocal < foi->getNPar(); ++klocal) {
160 for (int llocal = 0; llocal < foj->getNPar(); ++llocal) {
161 int ind1 = BaseDefs::MAXINTERVARS * llocal;
162 int ind2 = (static_cast<int>(BaseDefs::MAXPAR) * BaseDefs::MAXINTERVARS) * i + BaseDefs::MAXINTERVARS * klocal;
163 double& r = d2GdAkdAl[BaseDefs::MAXPAR * klocal + llocal];
164 r = d2GdPdAl[ ind1] * dPidAk[ ind2]; //E
165 r += d2GdPdAl[++ind1] * dPidAk[++ind2]; // px
166 r += d2GdPdAl[++ind1] * dPidAk[++ind2]; // py
167 r += d2GdPdAl[++ind1] * dPidAk[++ind2]; // pz
168 }
169 }
170 // Now expand the local parameter numbers to global ones
171 for (int klocal = 0; klocal < foi->getNPar(); ++klocal) {
172 int kglobal = parglobal [BaseDefs::MAXPAR * i + klocal];
173 for (int llocal = 0; llocal < foj->getNPar(); ++llocal) {
174 int lglobal = parglobal [BaseDefs::MAXPAR * j + llocal];
175 M [idim * kglobal + lglobal] += lambda * d2GdAkdAl[BaseDefs::MAXPAR * klocal + llocal];
176 }
177 }
178 }
179 }
180 }
190 double dgdpi[BaseDefs::MAXINTERVARS];
191 for (int i = 0; i < n; ++i) {
192 const BaseFitObject* foi = fitobjects[i];
193 assert(foi);
194 if (firstDerivatives(i, dgdpi)) {
195 foi->addTo2ndDerivatives(M, idim, lambda, dgdpi, getVarBasis());
196 }
197 }
198
199 delete[] dPidAk;
200 delete[] dPidAkval;
201 delete[] parglobal;
202 }
Belle2::OrcaKinFit::BaseHardConstraint::secondDerivatives
virtual bool secondDerivatives(int i, int j, double *derivatives) const =0
Second derivatives with respect to the meta-variables of Fit objects i and j; result false if all der...

◆ addToFOList()

virtual void addToFOList ( ParticleFitObject &  fitobject,
int  flag = 1 
)
inlinevirtualinherited

Adds one ParticleFitObject objects to the list.

Definition at line 90 of file ParticleConstraint.h.

92 {
93 fitobjects.push_back(reinterpret_cast < BaseFitObject* >(&fitobject));
94 flags.push_back(flag);
95 };
Belle2::OrcaKinFit::BaseHardConstraint::flags
std::vector< int > flags
The flags can be used to divide the FitObjectContainer into several subsets used for example to imple...
Definition: BaseHardConstraint.h:182

◆ addToGlobalChi2DerVector()

void addToGlobalChi2DerVector ( double *  y,
int  idim,
double  lambda 
) const
virtualinherited

Add lambda times derivatives of chi squared to global derivative vector.

Parameters
yVector of chi2 derivatives
idimVector size

Definition at line 204 of file BaseHardConstraint.cc.

205 {
206 double dgdpi[BaseDefs::MAXINTERVARS];
207 for (unsigned int i = 0; i < fitobjects.size(); ++i) {
208 const BaseFitObject* foi = fitobjects[i];
209 assert(foi);
210 if (firstDerivatives(i, dgdpi)) {
211 foi->addToGlobalChi2DerVector(y, idim, lambda, dgdpi, getVarBasis());
212 }
213 }
214 }

◆ dirDer()

double dirDer ( double *  p,
double *  w,
int  idim,
double  mu = 1 
)
virtualinherited

Calculate directional derivative.

Parameters
pVector of direction
wWork vector
idimVector size
muoptional multiplier

Definition at line 232 of file BaseHardConstraint.cc.

233 {
234 double* pw, *pp;
235 for (pw = w; pw < w + idim; * (pw++) = 0);
236 addToGlobalChi2DerVector(w, idim, mu);
237 double result = 0;
238 for (pw = w, pp = p; pw < w + idim; result += *(pp++) * *(pw++));
239 return mu * result;
240 }
Belle2::OrcaKinFit::BaseHardConstraint::addToGlobalChi2DerVector
virtual void addToGlobalChi2DerVector(double *y, int idim, double lambda) const
Add lambda times derivatives of chi squared to global derivative vector.
Definition: BaseHardConstraint.cc:204

◆ dirDerAbs()

double dirDerAbs ( double *  p,
double *  w,
int  idim,
double  mu = 1 
)
virtualinherited

Calculate directional derivative for abs(c)

Parameters
pVector of direction
wWork vector
idimVector size
muoptional multiplier

Definition at line 242 of file BaseHardConstraint.cc.

243 {
244 double val = getValue();
245 if (val == 0) return mu * std::fabs(dirDer(p, w, idim, 1));
246 else if (val > 0) return mu * dirDer(p, w, idim, 1);
247 else return -mu * dirDer(p, w, idim, 1);
248 }
Belle2::OrcaKinFit::BaseHardConstraint::getValue
virtual double getValue() const override=0
Returns the value of the constraint.
Belle2::OrcaKinFit::BaseHardConstraint::dirDer
virtual double dirDer(double *p, double *w, int idim, double mu=1)
Calculate directional derivative.
Definition: BaseHardConstraint.cc:232

◆ firstDerivatives()

bool firstDerivatives ( int  i,
double *  derivatives 
) const
overrideprotectedvirtual

First derivatives with respect to the 4-vector of Fit objects i; result false if all derivatives are zero.

Parameters
inumber of 1st FitObject
derivativesThe result 4-vector

Implements BaseHardConstraint.

Definition at line 121 of file MomentumConstraint.cc.

122 {
123 (void) i;
124 dderivatives[0] = efact;
125 dderivatives[1] = pxfact;
126 dderivatives[2] = pyfact;
127 dderivatives[3] = pzfact;
128 return true;
129 }

◆ getDerivatives()

void getDerivatives ( int  idim,
double  der[] 
) const
overridevirtual

Get first order derivatives.

Call this with a predefined array "der" with the necessary number of entries!

Parameters
idimFirst dimension of the array
derArray of derivatives, at least idim x idim

Implements BaseHardConstraint.

Definition at line 73 of file MomentumConstraint.cc.

74 {
75 for (auto fitobject : fitobjects) {
76 for (int ilocal = 0; ilocal < fitobject->getNPar(); ilocal++) {
77 if (!fitobject->isParamFixed(ilocal)) {
78 int iglobal = fitobject->getGlobalParNum(ilocal);
79 assert(iglobal >= 0 && iglobal < idim);
80 double d = 0;
81 const ParticleFitObject* foi = dynamic_cast < ParticleFitObject* >(fitobject);
82 assert(foi);
83 if (pxfact != 0) d += pxfact * foi->getDPx(ilocal);
84 if (pyfact != 0) d += pyfact * foi->getDPy(ilocal);
85 if (pzfact != 0) d += pzfact * foi->getDPz(ilocal);
86 if (efact != 0) d += efact * foi->getDE(ilocal);
87 der[iglobal] = d;
88 }
89 }
90 }
91 }

◆ getError()

double getError ( ) const
overridevirtualinherited

Returns the error on the value of the constraint.

Reimplemented from BaseConstraint.

Definition at line 217 of file BaseHardConstraint.cc.

218 {
219 double dgdpi[BaseDefs::MAXINTERVARS];
220 double error2 = 0;
221 for (unsigned int i = 0; i < fitobjects.size(); ++i) {
222 const BaseFitObject* foi = fitobjects[i];
223 assert(foi);
224 if (firstDerivatives(i, dgdpi)) {
225 error2 += foi->getError2(dgdpi, getVarBasis());
226 }
227 }
228 return std::sqrt(std::abs(error2));
229 }

◆ getGlobalNum()

virtual int getGlobalNum ( ) const
inlinevirtualinherited

Accesses position of constraint in global constraint list.

Definition at line 137 of file BaseHardConstraint.h.

138 {return globalNum;}
Belle2::OrcaKinFit::BaseHardConstraint::globalNum
int globalNum
Position of constraint in global constraint list.
Definition: BaseHardConstraint.h:185

◆ getName()

const char * getName ( ) const
virtualinherited

Returns the name of the constraint.

Definition at line 56 of file BaseConstraint.cc.

57 {
58 return name;
59 }

◆ getValue()

double getValue ( ) const
overridevirtual

Returns the value of the constraint.

Implements BaseHardConstraint.

Definition at line 49 of file MomentumConstraint.cc.

50 {
51 double totpx = 0;
52 double totpy = 0;
53 double totpz = 0;
54 double totE = 0;
55 for (auto fitobject : fitobjects) {
56
57 const ParticleFitObject* foi = dynamic_cast < ParticleFitObject* >(fitobject);
58 assert(foi);
59
60 if (pxfact != 0) totpx += foi->getPx();
61 if (pyfact != 0) totpy += foi->getPy();
62 if (pzfact != 0) totpz += foi->getPz();
63 if (efact != 0) totE += foi->getE();
64 }
65 return pxfact * totpx + pyfact * totpy + pzfact * totpz + efact * totE - value;
66 }

◆ getVarBasis()

int getVarBasis ( ) const
overridevirtual

Implements BaseHardConstraint.

Definition at line 131 of file MomentumConstraint.cc.

132 {
133 return VAR_BASIS;
134 }

◆ invalidateCache()

void invalidateCache ( ) const
overridevirtual

Invalidates any cached values for the next event.

Reimplemented from ParticleConstraint.

Definition at line 93 of file MomentumConstraint.cc.

94 {
95 cachevalid = false;
96 }

◆ num1stDerivative()

double num1stDerivative ( int  ifo,
int  ilocal,
double  eps 
)
virtualinherited

Evaluates numerically the 1st derivative w.r.t. a parameter.

Parameters
ifoNumber of FitObject
ilocalLocal parameter number
epsvariation of local parameter

Definition at line 307 of file BaseHardConstraint.cc.

308 {
309 BaseFitObject* fo = fitobjects[ifo];
310 assert(fo);
311 double save = fo->getParam(ilocal);
312 fo->setParam(ilocal, save + eps);
313 double v1 = getValue();
314 fo->setParam(ilocal, save - eps);
315 double v2 = getValue();
316 double result = (v1 - v2) / (2 * eps);
317 fo->setParam(ilocal, save);
318 return result;
319 }
VXDTFFilterTest::v2
const std::vector< double > v2
MATLAB generated random vector.
Definition: decorrelationMatrix.cc:42
VXDTFFilterTest::v1
const std::vector< double > v1
MATLAB generated random vector.
Definition: decorrelationMatrix.cc:28

◆ num2ndDerivative()

double num2ndDerivative ( int  ifo1,
int  ilocal1,
double  eps1,
int  ifo2,
int  ilocal2,
double  eps2 
)
virtualinherited

Evaluates numerically the 2nd derivative w.r.t. 2 parameters.

Parameters
ifo1Number of 1st FitObject
ilocal11st local parameter number
eps1variation of 1st local parameter
ifo2Number of 1st FitObject
ilocal21st local parameter number
eps2variation of 2nd local parameter

Definition at line 321 of file BaseHardConstraint.cc.

323 {
324 double result;
325
326 if (ifo1 == ifo2 && ilocal1 == ilocal2) {
327 BaseFitObject* fo = fitobjects[ifo1];
328 assert(fo);
329 double save = fo->getParam(ilocal1);
330 double v0 = getValue();
331 fo->setParam(ilocal1, save + eps1);
332 double v1 = getValue();
333 fo->setParam(ilocal1, save - eps1);
334 double v2 = getValue();
335 result = (v1 + v2 - 2 * v0) / (eps1 * eps1);
336 fo->setParam(ilocal1, save);
337 } else {
338 BaseFitObject* fo1 = fitobjects[ifo1];
339 assert(fo1);
340 BaseFitObject* fo2 = fitobjects[ifo2];
341 assert(fo2);
342 double save1 = fo1->getParam(ilocal1);
343 double save2 = fo2->getParam(ilocal2);
344 fo1->setParam(ilocal1, save1 + eps1);
345 fo2->setParam(ilocal2, save2 + eps2);
346 double v11 = getValue();
347 fo2->setParam(ilocal2, save2 - eps2);
348 double v12 = getValue();
349 fo1->setParam(ilocal1, save1 - eps1);
350 double v22 = getValue();
351 fo2->setParam(ilocal2, save2 + eps2);
352 double v21 = getValue();
353 result = (v11 + v22 - v12 - v21) / (4 * eps1 * eps2);
354 fo1->setParam(ilocal1, save1);
355 fo2->setParam(ilocal2, save2);
356 }
357 return result;
358 }

◆ print()

std::ostream & print ( std::ostream &  os) const
virtualinherited

print object to ostream

Parameters
osThe output stream

Definition at line 76 of file BaseConstraint.cc.

77 {
78 os << getName() << "=" << getValue();
79 return os;
80 }
Belle2::OrcaKinFit::BaseConstraint::getValue
virtual double getValue() const =0
Returns the value of the constraint function.
Belle2::OrcaKinFit::BaseConstraint::getName
virtual const char * getName() const
Returns the name of the constraint.
Definition: BaseConstraint.cc:56

◆ printFirstDerivatives()

void printFirstDerivatives ( ) const
virtualinherited

Definition at line 360 of file BaseHardConstraint.cc.

361 {
362
363 B2INFO("BaseHardConstraint::printFirstDerivatives " << fitobjects.size());
364
365 double dgdpi[BaseDefs::MAXINTERVARS];
366 for (unsigned int i = 0; i < fitobjects.size(); ++i) {
367 const BaseFitObject* foi = fitobjects[i];
368 assert(foi);
369 if (firstDerivatives(i, dgdpi)) {
370 B2INFO("first derivs for obj " << i << " : ");
371 for (double j : dgdpi)
372 B2INFO(j << " ");
373 }
374 }
375
376 return;
377 }

◆ printSecondDerivatives()

void printSecondDerivatives ( ) const
virtualinherited

Definition at line 379 of file BaseHardConstraint.cc.

380 {
381
382 double d2GdPidPj[BaseDefs::MAXINTERVARS * BaseDefs::MAXINTERVARS];
383
384 int n = fitobjects.size();
385
386 for (int i = 0; i < n; ++i) {
387 const BaseFitObject* foi = fitobjects[i];
388 assert(foi);
389 for (int j = 0; j < n; ++j) {
390 const BaseFitObject* foj = fitobjects[j];
391 assert(foj);
392 if (secondDerivatives(i, j, d2GdPidPj)) {
393
394 B2INFO("second derivs for objs " << i << " " << j);
395
396 int k(0);
397 for (int k1 = 0; k1 < BaseDefs::MAXINTERVARS; k1++) {
398 for (int k2 = 0; k2 < BaseDefs::MAXINTERVARS; k2++) {
399 B2INFO(d2GdPidPj[k++] << " ");
400 }
401 }
402 }
403 }
404 }
405
406 return;
407 }

◆ resetFOList()

virtual void resetFOList ( )
inlinevirtualinherited

Resests ParticleFitObject list.

Definition at line 97 of file ParticleConstraint.h.

98 {
99 fitobjects.resize(0);
100 flags.resize(0);
101 };

◆ secondDerivatives()

bool secondDerivatives ( int  i,
int  j,
double *  derivatives 
) const
overrideprotectedvirtual

Second derivatives with respect to the 4-vectors of Fit objects i and j; result false if all derivatives are zero.

Parameters
inumber of 1st FitObject
jnumber of 2nd FitObject
derivativesThe result 4x4 matrix

Implements BaseHardConstraint.

Definition at line 113 of file MomentumConstraint.cc.

114 {
115 (void) i;
116 (void) j;
117 (void) dderivatives;
118 return false;
119 } //fix the warning

◆ setFOList()

virtual void setFOList ( std::vector< ParticleFitObject * > *  fitobjects_)
inlinevirtualinherited

Adds several ParticleFitObject objects to the list.

Parameters
fitobjects_A list of BaseFitObject objects

Definition at line 81 of file ParticleConstraint.h.

83 {
84 for (int i = 0; i < (int) fitobjects_->size(); i++) {
85 fitobjects.push_back(reinterpret_cast < BaseFitObject* >((*fitobjects_)[i]));
86 flags.push_back(1);
87 }
88 };

◆ setGlobalNum()

virtual void setGlobalNum ( int  iglobal)
inlinevirtualinherited

Sets position of constraint in global constraint list.

Parameters
iglobalGlobal constraint number

Definition at line 140 of file BaseHardConstraint.h.

142 {globalNum = iglobal;}

◆ setName()

void setName ( const char *  name_)
inherited

Set object's name.

Definition at line 61 of file BaseConstraint.cc.

62 {
63 if (name_ == nullptr) return;
64 size_t l = strlen(name_);
65 if (name) delete[] name;
66 name = new char[l + 1];
67 strcpy(name, name_);
68 }

◆ test1stDerivatives()

void test1stDerivatives ( )
virtualinherited

Definition at line 251 of file BaseHardConstraint.cc.

252 {
253 B2INFO("BaseConstraint::test1stDerivatives for " << getName());
254 double y[100];
255 for (double& i : y) i = 0;
256 addToGlobalChi2DerVector(y, 100, 1);
257 double eps = 0.00001;
258 for (unsigned int ifo = 0; ifo < fitobjects.size(); ++ifo) {
259 BaseFitObject* fo = fitobjects[ifo];
260 assert(fo);
261 for (int ilocal = 0; ilocal < fo->getNPar(); ++ilocal) {
262 int iglobal = fo->getGlobalParNum(ilocal);
263 double calc = y[iglobal];
264 double num = num1stDerivative(ifo, ilocal, eps);
265 B2INFO("fo: " << fo->getName() << " par " << ilocal << "/"
266 << iglobal << " (" << fo->getParamName(ilocal)
267 << ") calc: " << calc << " - num: " << num << " = " << calc - num);
268 }
269 }
270 }
Belle2::OrcaKinFit::BaseHardConstraint::num1stDerivative
virtual double num1stDerivative(int ifo, int ilocal, double eps)
Evaluates numerically the 1st derivative w.r.t. a parameter.
Definition: BaseHardConstraint.cc:307

◆ test2ndDerivatives()

void test2ndDerivatives ( )
virtualinherited

Definition at line 272 of file BaseHardConstraint.cc.

273 {
274 B2INFO("BaseConstraint::test2ndDerivatives for " << getName());
275 const int idim = 100;
276 auto* M = new double[idim * idim];
277 for (int i = 0; i < idim * idim; ++i) M[i] = 0;
278 add2ndDerivativesToMatrix(M, idim, 1);
279 double eps = 0.0001;
280 B2INFO("eps=" << eps);
281
282 for (unsigned int ifo1 = 0; ifo1 < fitobjects.size(); ++ifo1) {
283 BaseFitObject* fo1 = fitobjects[ifo1];
284 assert(fo1);
285 for (unsigned int ifo2 = ifo1; ifo2 < fitobjects.size(); ++ifo2) {
286 BaseFitObject* fo2 = fitobjects[ifo2];
287 assert(fo2);
288 for (int ilocal1 = 0; ilocal1 < fo1->getNPar(); ++ilocal1) {
289 int iglobal1 = fo1->getGlobalParNum(ilocal1);
290 for (int ilocal2 = (ifo1 == ifo2 ? ilocal1 : 0); ilocal2 < fo2->getNPar(); ++ilocal2) {
291 int iglobal2 = fo2->getGlobalParNum(ilocal2);
292 double calc = M[idim * iglobal1 + iglobal2];
293 double num = num2ndDerivative(ifo1, ilocal1, eps, ifo2, ilocal2, eps);
294 B2INFO("fo1: " << fo1->getName() << " par " << ilocal1 << "/"
295 << iglobal1 << " (" << fo1->getParamName(ilocal1)
296 << "), fo2: " << fo2->getName() << " par " << ilocal2 << "/"
297 << iglobal2 << " (" << fo2->getParamName(ilocal2)
298 << ") calc: " << calc << " - num: " << num << " = " << calc - num);
299 }
300 }
301 }
302 }
303 delete[] M;
304 }
Belle2::OrcaKinFit::BaseHardConstraint::add2ndDerivativesToMatrix
virtual void add2ndDerivativesToMatrix(double *M, int idim, double lambda) const
Adds second order derivatives to global covariance matrix M.
Definition: BaseHardConstraint.cc:76
Belle2::OrcaKinFit::BaseHardConstraint::num2ndDerivative
virtual double num2ndDerivative(int ifo1, int ilocal1, double eps1, int ifo2, int ilocal2, double eps2)
Evaluates numerically the 2nd derivative w.r.t. 2 parameters.
Definition: BaseHardConstraint.cc:321

◆ updateCache()

void updateCache ( ) const
protected

Definition at line 98 of file MomentumConstraint.cc.

99 {
100 nparams = 0;
101 for (auto fitobject : fitobjects) {
102 for (int ilocal = 0; ilocal < fitobject->getNPar(); ilocal++) {
103 int iglobal = fitobject->getGlobalParNum(ilocal);
104 if (!fitobject->isParamFixed(ilocal)) {
105 assert(iglobal >= 0);
106 nparams++;
107 }
108 }
109 }
110 cachevalid = true;
111 }

Friends And Related Function Documentation

◆ operator<<()

std::ostream & operator<< ( std::ostream &  os,
const BaseConstraint &  bc 
)
related

Prints out a BaseConstraint, using its print method.

Parameters
osThe output stream
bcThe object to print

Definition at line 114 of file BaseConstraint.h.

117 {
118 return bc.print(os);
119 }

Member Data Documentation

◆ cachevalid

bool cachevalid
mutableprotected

Definition at line 74 of file MomentumConstraint.h.

◆ derivatives

std::vector<double> derivatives
protectedinherited

The derivatives.

Definition at line 179 of file BaseHardConstraint.h.

◆ efact

double efact
protected

Definition at line 68 of file MomentumConstraint.h.

◆ fitobjects

FitObjectContainer fitobjects
protectedinherited

The FitObjectContainer.

Definition at line 177 of file BaseHardConstraint.h.

◆ flags

std::vector<int> flags
protectedinherited

The flags can be used to divide the FitObjectContainer into several subsets used for example to implement an equal mass constraint (see MassConstraint).

Definition at line 182 of file BaseHardConstraint.h.

◆ globalNum

int globalNum
protectedinherited

Position of constraint in global constraint list.

Definition at line 185 of file BaseHardConstraint.h.

◆ name

char* name
protectedinherited

Definition at line 108 of file BaseConstraint.h.

◆ nparams

int nparams
mutableprotected

Definition at line 75 of file MomentumConstraint.h.

◆ pxfact

double pxfact
protected

Definition at line 69 of file MomentumConstraint.h.

◆ pyfact

double pyfact
protected

Definition at line 70 of file MomentumConstraint.h.

◆ pzfact

double pzfact
protected

Definition at line 71 of file MomentumConstraint.h.

◆ value

double value
protected

Definition at line 72 of file MomentumConstraint.h.

The documentation for this class was generated from the following files: