/* ==================================== */
int32_t solsyst2(
mat22 m,
vec2 b,
vec2 sol)
/* ==================================== */
{
mat22 m1;
double d, d1, d2;
int32_t i, j;
d = det2(m);
if (((d >= 0) && (d < EPSILON)) || ((d <= 0) && (-d < EPSILON))) return 0;
for (i = 0; i < 2; i++) m1[i][0] = b[i];
for (i = 0; i < 2; i++) m1[i][1] = m[i][1];
d1 = det2(m1);
for (i = 0; i < 2; i++) m1[i][1] = b[i];
for (i = 0; i < 2; i++) m1[i][0] = m[i][0];
d2 = det2(m1);
sol[0] = d1 / d;
sol[1] = d2 / d;
return 1;
} // solsyst2()
void
check_svd (double *M , double * U, double * S, double *V)
{
double T1 [4] ;
double T2 [4] ;
print_matrix("M",M) ;
print_matrix("U",U) ;
print_matrix("S",S) ;
print_matrix("V",V) ;
transp2(T1, V) ;
prod2(T2, S, T1) ;
prod2(T1, U, T2) ;
print_matrix("USV'",T1) ;
transp2(T1, U) ;
prod2(T2, T1, U) ;
print_matrix("U'U",T2) ;
transp2(T1, V) ;
prod2(T2, T1, V) ;
print_matrix("V'V",T2) ;
printf("det(M) = %f\n", det2(M)) ;
printf("det(U) = %f\n", det2(U)) ;
printf("det(V) = %f\n", det2(V)) ;
printf("det(S) = %f\n", det2(S)) ;
printf("\n") ;
}
static double det3(double a1, double b1, double c1,
double a2, double b2, double c2,
double a3, double b3, double c3)
{
return a1*det2(b2, c2, b3, c3) -
b1*det2(a2, c2, a3, c3) +
c1*det2(a2, b2, a3, b3);
}
double determinant(const Matrix3x3 &m)
{
double det = 0;
det += m[0][0] * det2(m[1][1], m[1][2], m[2][1], m[2][2]);
det -= m[0][1] * det2(m[1][0], m[1][2], m[2][0], m[2][2]);
det += m[0][2] * det2(m[1][0], m[1][1], m[2][0], m[2][1]);
return det;
}
void adjoint3( LWFMatrix3 m, LWFMatrix3 adj )
{
adj[ 0 ][ 0 ] = det2( m11, m12, m21, m22 );
adj[ 1 ][ 0 ] = -det2( m10, m12, m20, m22 );
adj[ 2 ][ 0 ] = det2( m10, m11, m20, m21 );
adj[ 0 ][ 1 ] = -det2( m01, m02, m21, m22 );
adj[ 1 ][ 1 ] = det2( m00, m02, m20, m22 );
adj[ 2 ][ 1 ] = -det2( m00, m01, m20, m21 );
adj[ 0 ][ 2 ] = det2( m01, m02, m11, m12 );
adj[ 1 ][ 2 ] = -det2( m00, m02, m10, m12 );
adj[ 2 ][ 2 ] = det2( m00, m01, m10, m11 );
}
// adjoint matrix: b = adjoint(a); returns determinant(a)
double adjointMatrix(double a[3][3], double b[3][3])
{
b[0][0] = det2(a[1][1], a[1][2], a[2][1], a[2][2]);
b[1][0] = det2(a[1][2], a[1][0], a[2][2], a[2][0]);
b[2][0] = det2(a[1][0], a[1][1], a[2][0], a[2][1]);
b[0][1] = det2(a[2][1], a[2][2], a[0][1], a[0][2]);
b[1][1] = det2(a[2][2], a[2][0], a[0][2], a[0][0]);
b[2][1] = det2(a[2][0], a[2][1], a[0][0], a[0][1]);
b[0][2] = det2(a[0][1], a[0][2], a[1][1], a[1][2]);
b[1][2] = det2(a[0][2], a[0][0], a[1][2], a[1][0]);
b[2][2] = det2(a[0][0], a[0][1], a[1][0], a[1][1]);
return a[0][0]*b[0][0] + a[0][1]*b[0][1] + a[0][2]*b[0][2];
}
bool isConvex(vector<vector<int>>& p) {
long n = p.size(), prev = 0, cur;
for (int i = 0; i < n; ++i) {
vector<vector<int>> A; // = {p[(i+1)%n]-p[i], p[(i+2)%n]-p[i]}
for (int j = 1; j < 3; ++j) A.push_back({p[(i+j)%n][0]-p[i][0], p[(i+j)%n][1]-p[i][1]});
if (cur = det2(A)) if (cur*prev < 0) return false; else prev = cur;
}
return true;
}
// calculate matrix for unit square to quad mapping
void mapSquareToQuad(double quad[4][2], // vertices of quadrilateral
double SQ[3][3]) // square->quad transform
{
double px, py;
px = quad[0][0]-quad[1][0]+quad[2][0]-quad[3][0];
py = quad[0][1]-quad[1][1]+quad[2][1]-quad[3][1];
if (MATRIX_ZERO(px) && MATRIX_ZERO(py))
{
SQ[0][0] = quad[1][0]-quad[0][0];
SQ[1][0] = quad[2][0]-quad[1][0];
SQ[2][0] = quad[0][0];
SQ[0][1] = quad[1][1]-quad[0][1];
SQ[1][1] = quad[2][1]-quad[1][1];
SQ[2][1] = quad[0][1];
SQ[0][2] = 0.;
SQ[1][2] = 0.;
SQ[2][2] = 1.;
return;
}
else
{
double dx1, dx2, dy1, dy2, del;
dx1 = quad[1][0]-quad[2][0];
dx2 = quad[3][0]-quad[2][0];
dy1 = quad[1][1]-quad[2][1];
dy2 = quad[3][1]-quad[2][1];
del = det2(dx1,dx2, dy1,dy2);
SQ[0][2] = det2(px,dx2, py,dy2)/del;
SQ[1][2] = det2(dx1,px, dy1,py)/del;
SQ[2][2] = 1.;
SQ[0][0] = quad[1][0]-quad[0][0]+SQ[0][2]*quad[1][0];
SQ[1][0] = quad[3][0]-quad[0][0]+SQ[1][2]*quad[3][0];
SQ[2][0] = quad[0][0];
SQ[0][1] = quad[1][1]-quad[0][1]+SQ[0][2]*quad[1][1];
SQ[1][1] = quad[3][1]-quad[0][1]+SQ[1][2]*quad[3][1];
SQ[2][1] = quad[0][1];
}
}
Matrix3x3 inverse(const Matrix3x3 &m)
{
Matrix3x3 ret;
double det = determinant(m);
ret[0][0] = det2(m[1][1], m[1][2], m[2][1], m[2][2]) / det;
ret[0][1] = det2(m[0][2], m[0][1], m[2][2], m[2][1]) / det;
ret[0][2] = det2(m[0][1], m[0][2], m[1][1], m[1][2]) / det;
ret[1][0] = det2(m[1][2], m[1][0], m[2][2], m[2][0]) / det;
ret[1][1] = det2(m[0][0], m[0][2], m[2][0], m[2][2]) / det;
ret[1][2] = det2(m[0][2], m[0][0], m[1][2], m[1][0]) / det;
ret[2][0] = det2(m[1][0], m[1][1], m[2][0], m[2][1]) / det;
ret[2][1] = det2(m[0][1], m[0][0], m[2][1], m[2][0]) / det;
ret[2][2] = det2(m[0][0], m[0][1], m[1][0], m[1][1]) / det;
return ret;
}
//Рассчитать определитель
double Matrix::det() const
{
if (!isSquare())
throw Matrix::NOT_SQUARE;
if (width == 2)
return det2();
else if (width == 3)
return det3();
else
return detN();
}
// Return 1 if the segment joining (x1,y1) and (x2,y2) intersects the
// segment joining (x3,y3) and (x4,y4), otherwise return 0.
int checkSegmentsIntersection(float x1, float y1, float x2, float y2,
float x3, float y3, float x4, float y4)
{
float denom, p, q;
denom = det2(x2 - x1, x3 - x4, y2 - y1, y3 - y4);
if (denom != 0)
// The straight lines through (x1,y1) and (x2,y2) and through (x3,y3) and (x4,y4)
// intersect uniquely at (1-p)(x1,y1) + p(x2,y2) = (1-q)(x3,y3) + q(x4,y4), which
// is a point of both segments if both p and q are between 0 and 1.
{
p = det2(x3 - x1, x3 - x4, y3 - y1, y3 - y4) / denom;
q = det2(x2 - x1, x3 - x1, y2 - y1, y3 - y1) / denom;
if ( (p >= 0) && (p <= 1) && (q >= 0) && (q <= 1) ) return 1;
else return 0;
}
else if ( det2(x3 - x2, x3 - x1, y3 - y2, y3 - y1) != 0 )
// The straight lines through (x1,y1) and (x2,y2) and through (x3,y3) and (x4,y4)
// do no intersect uniquely, and (x1,y1), (x2,y2) and (x3,y3) are not collinear,
// in which case the segments do not intersect.
return 0;
else
// All four points are collinear, in which case they do not intersect if
// (x3,y3) and (x4,y4) both lie on the same side of segment joining (x1,y1) and (x2,y2).
{
if (
( (checkPointWRTSegment(x1, y1, x2, y2, x3, y3) == 1) &&
(checkPointWRTSegment(x1, y1, x2, y2, x4, y4) == 1)
)
||
( (checkPointWRTSegment(x1, y1, x2, y2, x3, y3) == -1) &&
(checkPointWRTSegment(x1, y1, x2, y2, x4, y4) == -1)
)
)
return 0;
else return 1;
}
}
/* ==================================== */
int32_t invmat2(
mat22 ma,
mat22 mr)
/* ==================================== */
{
double det = det2( ma );
if ( fabs( det ) < EPSILON ) return 0;
mr[0][0] = ma[1][1] / det;
mr[1][0] = - ma[1][0] / det;
mr[0][1] = - ma[0][1] / det;
mr[1][1] = ma[0][0] / det;
return 1;
} // invmat2()
template <> Matrix<3, 3, float> Matrix<3, 3, float>::adjoint() const
{
return Matrix<3, 3, float>(
Vector<3, float>(
det2(c[1].y, c[2].y, c[1].z, c[2].z),
det2(c[2].x, c[1].x, c[2].z, c[1].z),
det2(c[1].x, c[2].x, c[1].y, c[2].y)
),
Vector<3, float>(
det2(c[2].y, c[0].y, c[2].z, c[0].z),
det2(c[0].x, c[2].x, c[0].z, c[2].z),
det2(c[2].x, c[0].x, c[2].y, c[0].y)
),
Vector<3, float>(
det2(c[0].y, c[1].y, c[0].z, c[1].z),
det2(c[1].x, c[0].x, c[1].z, c[0].z),
det2(c[0].x, c[1].x, c[0].y, c[1].y)
)
);
}
Matrix3 Matrix3::inverse() const {
Matrix3 m;
double determinant = det();
if (determinant == 0.0) throw cvgException("[Matrix3] The matrix inverse does not exist");
double inv_det = 1.0 / determinant;
// Calculate determinant matrix already transposed to increase speed
// Negative subdeterminants are computed exchanging columns for speed
m.value[0][0] = det2(value[1][1], value[1][2], value[2][1], value[2][2]) * inv_det;
m.value[0][1] = det2(value[0][2], value[0][1], value[2][2], value[2][1]) * inv_det;
m.value[0][2] = det2(value[0][1], value[0][2], value[1][1], value[1][2]) * inv_det;
m.value[1][0] = det2(value[1][2], value[1][0], value[2][2], value[2][0]) * inv_det;
m.value[1][1] = det2(value[0][0], value[0][2], value[2][0], value[2][2]) * inv_det;
m.value[1][2] = det2(value[0][2], value[0][0], value[1][2], value[1][0]) * inv_det;
m.value[2][0] = det2(value[1][0], value[1][1], value[2][0], value[2][1]) * inv_det;
m.value[2][1] = det2(value[0][1], value[0][0], value[2][1], value[2][0]) * inv_det;
m.value[2][2] = det2(value[0][0], value[0][1], value[1][0], value[1][1]) * inv_det;
return m;
}
Int_t r3bsim_batch(Double_t fEnergyP, Int_t fMult, Int_t nEvents, Int_t fGeoVer, Double_t fNonUni){
cout << "Running r3bsim_batch with arguments:" <<endl;
cout << "Primary energy: " << fEnergyP << " MeV" <<endl;
cout << "Multiplicity: " << fEnergyP <<endl;
cout << "Number of events: " << nEvents <<endl;
cout << "CALIFA geo version: " << fGeoVer <<endl;
cout << "Non uniformity: " << fNonUni <<endl<<endl;
// Load the Main Simulation macro
gROOT->LoadMacro("r3ball_batch.C");
//-------------------------------------------------
// Monte Carlo type | fMC (TString)
//-------------------------------------------------
// Geant3: "TGeant3"
// Geant4: "TGeant4"
// Fluka : "TFluka"
TString fMC ="TGeant4";
//-------------------------------------------------
// Primaries generation
// Event Generator Type | fGene (TString)
//-------------------------------------------------
// Box generator: "box"
// CALIFA generator: "gammas"
// R3B spec. generator: "r3b"
TString fGene="gammas";
//-------------------------------------------------
// Secondaries generation (G4 only)
// R3B Spec. PhysicList | fUserPList (Bool_t)
// ----------------------------------------------
// VMC Standard kFALSE
// R3B Special kTRUE;
Bool_t fUserPList= kTRUE;
// Target type
TString target1="LeadTarget";
TString target2="Para";
TString target3="Para45";
TString target4="LiH";
//-------------------------------------------------
//- Geometrical Setup Definition
//- Non Sensitiv | fDetName (String)
//-------------------------------------------------
// Target: TARGET
// Magnet: ALADIN
// GLAD
//-------------------------------------------------
//- Sensitiv | fDetName
//-------------------------------------------------
// Calorimeter: CALIFA
// CRYSTALBALL
//
// Tof: TOF
// MTOF
//
// Tracker: DCH
// TRACKER
// GFI
//
// Neutron: LAND
TObjString det0("TARGET");
TObjString det1("ALADIN");
TObjString det2("GLAD");
TObjString det3("CALIFA");
TObjString det4("CRYSTALBALL");
TObjString det5("TOF");
TObjString det6("MTOF");
TObjString det7("DCH");
TObjString det8("TRACKER");
TObjString det9("GFI");
TObjString det10("LAND");
TObjArray fDetList;
fDetList.Add(&det0);
//fDetList.Add(&det2);
fDetList.Add(&det3);
//fDetList.Add(&det5);
//fDetList.Add(&det6);
//fDetList.Add(&det7);
fDetList.Add(&det8);
//fDetList.Add(&det9);
//fDetList.Add(&det10);
//-------------------------------------------------
//- N# of Sim. Events | nEvents (Int_t)
//-------------------------------------------------
//NOW GIVEN AS AN ARGUMENT!
//Int_t nEvents = 100;
//-------------------------------------------------
//- EventDisplay | fEventDisplay (Bool_t)
//-------------------------------------------------
// connected: kTRUE
// not connected: kFALSE
Bool_t fEventDisplay=kFALSE;
// Magnet Field definition
//Bool_t fR3BMagnet = kTRUE;
Bool_t fR3BMagnet = kFALSE;
// Main Sim function call
r3ball_batch( nEvents,
fDetList,
target2,
fEventDisplay,
fMC,
fGene,
fUserPList,
fR3BMagnet,
fEnergyP,
fMult,
fGeoVer,
fNonUni
);
cout << "... Work done! " <<endl;
}
float det3( LWFMatrix3 m )
{
return m00 * det2( m11, m21, m12, m22 )
- m01 * det2( m10, m20, m12, m22 )
+ m02 * det2( m10, m20, m11, m21 );
}
CByteMatrix CByteMatrix::Inv() const
{
if (m!=n)
{
pErrorProc((void*)this,MATERR_DIMENSION,dwData);
return *this;
}
else
{
switch (m)
{
case 1:
if (GetModulo256Inv(pMatrix[0])==0)
{
pErrorProc((void*)this,MATERR_NOINVERSE,dwData);
return *this;
}
return CByteMatrix(1,1,GetModulo256Inv(pMatrix[0]));
case 2:
{
BYTE nInvDet=GetModulo256Inv(det2(*this));
if (nInvDet==0)
{
pErrorProc((void*)this,MATERR_NOINVERSE,dwData);
return *this;
}
return CByteMatrix(2,2,nInvDet*e(2,2),-nInvDet*e(1,2),-nInvDet*e(2,1),nInvDet*e(1,1));
}
case 3:
{
BYTE nInvDet=GetModulo256Inv(det3(*this));
if (nInvDet==0)
{
pErrorProc((void*)this,MATERR_NOINVERSE,dwData);
return *this;
}
CByteMatrix inv;
inv.SetErrorProc(pErrorProc,dwData);
inv.m=inv.n=3;
inv.pMatrix=new BYTE[9];
for (UINT i=1;i<=3;i++)
{
for (UINT j=1;j<=3;j++)
{
me(inv,j,i)=nInvDet*Cof(i,j);
}
}
return inv;
}
default:
{
BYTE nInvDet=GetModulo256Inv(det(*this));
if (nInvDet==0)
{
pErrorProc((void*)this,MATERR_NOINVERSE,dwData);
return *this;
}
CByteMatrix inv;
inv.SetErrorProc(pErrorProc,dwData);
inv.m=inv.n=m;
inv.pMatrix=new BYTE[inv.m*inv.m];
for (UINT i=1;i<=inv.m;i++)
{
for (UINT j=1;j<=inv.n;j++)
{
me(inv,j,i)=nInvDet*Cof(i,j);
}
}
return inv;
}
}
}
pErrorProc((void*)this,MATERR_NOINVERSE,dwData);
return *this;
}
Int_t r3b_sim_and_rclass(){
// Load the Main Simulation macro
gROOT->LoadMacro("r3ball.C");
//-------------------------------------------------
// Monte Carlo type | fMC (TString)
//-------------------------------------------------
// Geant3: "TGeant3"
// Geant4: "TGeant4"
// Fluka : "TFluka"
TString fMC ="TGeant3";
//-------------------------------------------------
// Primaries generation
// Event Generator Type | fGene (TString)
//-------------------------------------------------
// Box generator: "box"
// Ascii generator: "ascii"
// R3B spec. generator: "r3b"
TString fGene="box";
//-------------------------------------------------
// Secondaries generation (G4 only)
// R3B Spec. PhysicList | fUserPList (Bool_t)
// ----------------------------------------------
// VMC Standard kFALSE
// R3B Special kTRUE;
Bool_t fUserPList= kTRUE;
// Target type
TString target1="LeadTarget";
TString target2="Para";
TString target3="Para45";
TString target4="LiH";
//-------------------------------------------------
//- Geometrical Setup Definition
//- Non Sensitiv | fDetName (String)
//-------------------------------------------------
// Target: TARGET
// Magnet: ALADIN
//
//-------------------------------------------------
//- Sensitiv | fDetName
//-------------------------------------------------
// Calorimeter: CALIFA
// CRYSTALBALL
//
// Tof: TOF
// MTOF
//
// Tracker: DCH
// TRACKER
// GFI
//
// Neutron Detector
// Plastic LAND
// RPC
// RPCFLAND
// RPCMLAND
TObjString det1("TARGET");
TObjString det2("ALADIN");
TObjString det3("CALIFA");
TObjString det4("CRYSTALBALL");
TObjString det5("TOF");
TObjString det6("MTOF");
TObjString det7("DCH");
TObjString det8("TRACKER");
TObjString det9("GFI");
TObjString det10("LAND");
TObjString det11("RPCMLAND");
TObjString det12("RPCFLAND");
TObjString det13("SCINTNEULAND");
TObjArray fDetList;
// fDetList.Add(&det1);
fDetList.Add(&det2);
// fDetList.Add(&det4);
// fDetList.Add(&det5);
// fDetList.Add(&det6);
// fDetList.Add(&det7);
// fDetList.Add(&det8);
// fDetList.Add(&det9);
fDetList.Add(&det10);
// fDetList.Add(&det11);
//-------------------------------------------------
//- N# of Sim. Events | nEvents (Int_t)
//-------------------------------------------------
Int_t nEvents = 1;
//-------------------------------------------------
//- EventDisplay | fEventDisplay (Bool_t)
//-------------------------------------------------
// connected: kTRUE
// not connected: kFALSE
Bool_t fEventDisplay=kTRUE;
// Magnet Field definition
Bool_t fR3BMagnet = kTRUE;
// Main Sim function call
r3ball( nEvents,
fDetList,
target1,
fEventDisplay,
fMC,
fGene,
fUserPList,
fR3BMagnet
);
//------------------- Read Data from LMD-ROOT file -------------------------------------
// the ROOT files (simulated and experimental) are the same but, for testing purpose, show how to use two quantities for comparison
R3BLandData* LandData1 = new R3BLandData("s318_172.root", "h309"); // file input and tree name
R3BLandData* LandData2 = new R3BLandData("s318_172.root", "h309"); // file input and tree name
// Define diferent options for TCanvas
TCanvas* c = new TCanvas("Compare quantities from ROOT files","ROOT Canvas");
c->Divide(2,1); // Divide a canvas in two ...or more
int entries1 = LandData1->GetEntries(); // entries number of first TTree
int entries2 = LandData2->GetEntries(); // entries number of first TTree
TLeaf* leaf1;
// TLeaf* leaf11; // define one leaf...
TLeaf* leaf2;
// TLeaf* leaf22; // define another leaf
cout<<"Entries number in first TTree = "<<entries1<<endl;
cout<<"Entries number in second TTree = "<<entries2<<endl;
// Reprezentation of 1D histogram from ROOT files
for (int i=0; i < entries1; i++)
{
leaf1 = LandData1->GetLeaf("Nte",i); // Accessing TLeaf informations
// leaf11 = LandData1->GetLeaf("Nhe",i); // Accessing TLeaf informations
LandData1->FillHisto1D(leaf1); // Fill 1D histogram ... automatical bin width
// LandData1->FillHisto2D(leaf1,leaf11); // Fill 2D histogram ... automatical bin width
}
c->cd(1);
LandData1->Draw1D(); // Plotting 1D histogram ... automatical bin width
// LandData1->Draw2D(); // Plotting 2D histogram ... automatical bin width
for (int i=0; i < entries2; i++)
{
leaf2 = LandData2->GetLeaf("Nhe",i); // Accessing TLeaf informations
// leaf22 = LandData2->GetLeaf("Nte",i); // Accessing TLeaf informations
LandData2->FillHisto1D(leaf2); // Fill 1D histogram ... automatical bin width
// LandData2->FillHisto2D(leaf2,leaf22); // Fill 2D histogram ... automatical bin width
}
c->cd(2);
LandData2->Draw1D(); // Plotting 1D histogram ... automatical bin width
// LandData2->Draw2D(); // Plotting 2D histogram ... automatical bin width
// ... or you can plot on the same histogram by comment the precedent two line and comment out the next line
// LandData2->Draw1Dsame(); // Plotting 1D histogram ... automatical bin width
// ... The same things for 2D histograming
//####### for diferent TLeaf analysis ###############
/*
Int_t len = leaf1->GetLen();
for(Int_t j=0; j<len ; j++)
{
leaf1->GetValue(j); // TLeaf Value for different analysis
}
*/
}