// @(#)root/histpainter:$Id: TPainter3dAlgorithms.cxx 36057 2010-10-04 13:51:04Z couet $ // Author: Rene Brun, Evgueni Tcherniaev, Olivier Couet 12/12/94 /************************************************************************* * Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. * * All rights reserved. * * * * For the licensing terms see $ROOTSYS/LICENSE. * * For the list of contributors see $ROOTSYS/README/CREDITS. * *************************************************************************/ //______________________________________________________________________________ /* Begin_Html <center><h2>Legos and Surfaces package</h2></center> This package was originally written by Evgueni Tcherniaev from IHEP/Protvino. <p> The original Fortran implementation was adapted to HIGZ/PAW by Olivier Couet and Evgueni Tcherniaev. <p> This class is a subset of the original system. It has been converted to a C++ class by Rene Brun. End_Html */ #include <stdlib.h> #include "TROOT.h" #include "TPainter3dAlgorithms.h" #include "TVirtualPad.h" #include "THistPainter.h" #include "TH1.h" #include "TF3.h" #include "TView.h" #include "TVirtualX.h" #include "Hoption.h" #include "Hparam.h" #include "TMath.h" #include "TStyle.h" #include "TObjArray.h" #include "THLimitsFinder.h" #include "TColor.h" #ifdef R__SUNCCBUG const Double_t kRad = 1.74532925199432955e-02; #else const Double_t kRad = TMath::ATan(1)*Double_t(4)/Double_t(180); #endif const Double_t kFdel = 0.; const Double_t kDel = 0.0001; const Int_t kNiso = 4; const Int_t kNmaxp = kNiso*13; const Int_t kNmaxt = kNiso*12; const Int_t kLmax = 12; const Int_t kF3FillColor1 = 201; const Int_t kF3FillColor2 = 202; const Int_t kF3LineColor = 203; Int_t TPainter3dAlgorithms::fgF3Clipping = 0; Double_t TPainter3dAlgorithms::fgF3XClip = 0.; Double_t TPainter3dAlgorithms::fgF3YClip = 0.; Double_t TPainter3dAlgorithms::fgF3ZClip = 0.; TF3 *TPainter3dAlgorithms::fgCurrentF3 = 0; // Static arrays used to paint stacked lego plots. const Int_t kVSizeMax = 20; static Double_t gV[kVSizeMax]; static Double_t gTT[4*kVSizeMax]; static Int_t gColorMain[kVSizeMax+1]; static Int_t gColorDark[kVSizeMax+1]; extern TH1 *gCurrentHist; //these 3 globals should be replaced by class members extern Hoption_t Hoption; extern Hparam_t Hparam; ClassImp(TPainter3dAlgorithms) //______________________________________________________________________________ TPainter3dAlgorithms::TPainter3dAlgorithms(): TObject(), TAttLine(1,1,1), TAttFill(1,0) { // Lego default constructor Int_t i; fIfrast = 0; fMesh = 1; fRaster = 0; fColorTop = 1; fColorBottom = 1; fNlevel = 0; fSystem = kCARTESIAN; fDrawFace = 0; fLegoFunction = 0; fSurfaceFunction = 0; TList *stack = 0; if (gCurrentHist) stack = gCurrentHist->GetPainter()->GetStack(); fNStack = 0; if (stack) fNStack = stack->GetSize(); if (fNStack > kVSizeMax) { fColorMain = new Int_t[fNStack+1]; fColorDark = new Int_t[fNStack+1]; } else { fColorMain = &gColorMain[0]; fColorDark = &gColorDark[0]; } for (i=0;i<fNStack;i++) { fColorMain[i] = 1; fColorDark[i] = 1; } for (i=0;i<3;i++) { fRmin[i] = 0, fRmax[i] = 1; } for (i=0;i<4;i++) { fYls[i] = 0; } for (i=0;i<30;i++) { fJmask[i] = 0; } for (i=0;i<200;i++) { fLevelLine[i] = 0; } for (i=0;i<465;i++) { fMask[i] = 0; } for (i=0;i<258;i++) { fColorLevel[i] = 0; } for (i=0;i<1200;i++) { fPlines[i] = 0.; } for (i=0;i<200;i++) { fT[i] = 0.; } for (i=0;i<2000;i++) { fU[i] = 0.; fD[i] = 0.; } for (i=0;i<12;i++) { fVls[i] = 0.; } for (i=0;i<257;i++) { fFunLevel[i] = 0.; } for (i=0;i<183;i++) { fAphi[i] = 0.; } for (i=0;i<8;i++) { fF8[i] = 0.; } fLoff = 0; fNT = 0; fNcolor = 0; fNlines = 0; fNqs = 0; fNxrast = 0; fNyrast = 0; fIc1 = 0; fIc2 = 0; fIc3 = 0; fQA = 0.; fQD = 0.; fQS = 0.; fX0 = 0.; fYdl = 0.; fXrast = 0.; fYrast = 0.; fFmin = 0.; fFmax = 0.; fDXrast = 0.; fDYrast = 0.; fDX = 0.; } //______________________________________________________________________________ TPainter3dAlgorithms::TPainter3dAlgorithms(Double_t *rmin, Double_t *rmax, Int_t system) : TObject(), TAttLine(1,1,1), TAttFill(1,0) { // Normal default constructor // // rmin[3], rmax[3] are the limits of the lego object depending on // the selected coordinate system Int_t i; Double_t psi; fIfrast = 0; fMesh = 1; fRaster = 0; fColorTop = 1; fColorBottom = 1; fNlevel = 0; fSystem = system; if (system == kCARTESIAN || system == kPOLAR) psi = 0; else psi = 90; fDrawFace = 0; fLegoFunction = 0; fSurfaceFunction = 0; TList *stack = gCurrentHist->GetPainter()->GetStack(); fNStack = 0; if (stack) fNStack = stack->GetSize(); if (fNStack > kVSizeMax) { fColorMain = new Int_t[fNStack+1]; fColorDark = new Int_t[fNStack+1]; } else { fColorMain = &gColorMain[0]; fColorDark = &gColorDark[0]; } for (i=0;i<fNStack;i++) { fColorMain[i] = 1; fColorDark[i] = 1; } for (i=0;i<3;i++) { fRmin[i] = rmin[i], fRmax[i] = rmax[i]; } for (i=0;i<4;i++) { fYls[i] = 0; } for (i=0;i<30;i++) { fJmask[i] = 0; } for (i=0;i<200;i++) { fLevelLine[i] = 0; } for (i=0;i<465;i++) { fMask[i] = 0; } for (i=0;i<258;i++) { fColorLevel[i] = 0; } for (i=0;i<1200;i++) { fPlines[i] = 0.; } for (i=0;i<200;i++) { fT[i] = 0.; } for (i=0;i<2000;i++) { fU[i] = 0.; fD[i] = 0.; } for (i=0;i<12;i++) { fVls[i] = 0.; } for (i=0;i<257;i++) { fFunLevel[i] = 0.; } for (i=0;i<183;i++) { fAphi[i] = 0.; } for (i=0;i<8;i++) { fF8[i] = 0.; } fLoff = 0; fNT = 0; fNcolor = 0; fNlines = 0; fNqs = 0; fNxrast = 0; fNyrast = 0; fIc1 = 0; fIc2 = 0; fIc3 = 0; fQA = 0.; fQD = 0.; fQS = 0.; fX0 = 0.; fYdl = 0.; fXrast = 0.; fYrast = 0.; fFmin = 0.; fFmax = 0.; fDXrast = 0.; fDYrast = 0.; fDX = 0.; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) view = TView::CreateView(fSystem, rmin, rmax); view->SetView(gPad->GetPhi(), gPad->GetTheta(), psi, i); view->SetRange(rmin,rmax); } //______________________________________________________________________________ TPainter3dAlgorithms::~TPainter3dAlgorithms() { // Lego default destructor if (fRaster) {delete [] fRaster; fRaster = 0;} if (fNStack > kVSizeMax) { delete [] fColorMain; delete [] fColorDark; } } //______________________________________________________________________________ void TPainter3dAlgorithms::BackBox(Double_t ang) { // Draw back surfaces of surrounding box // // Input ANG - angle between X and Y axis // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this face // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function /* Initialized data */ static Int_t iface1[4] = { 1,4,8,5 }; static Int_t iface2[4] = { 4,3,7,8 }; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("BackBox", "no TView in current pad"); return; } /* Local variables */ Double_t cosa, sina; Int_t i; Double_t r[24] /* was [3][8] */, av[24] /* was [3][8] */; Int_t icodes[3]; Double_t tt[4]; Int_t ix1, ix2, iy1, iy2, iz1, iz2; cosa = TMath::Cos(kRad*ang); sina = TMath::Sin(kRad*ang); view->AxisVertex(ang, av, ix1, ix2, iy1, iy2, iz1, iz2); for (i = 1; i <= 8; ++i) { r[i*3 - 3] = av[i*3 - 3] + av[i*3 - 2]*cosa; r[i*3 - 2] = av[i*3 - 2]*sina; r[i*3 - 1] = av[i*3 - 1]; } // D R A W F O R W A R D F A C E S */ icodes[0] = 0; icodes[1] = 0; icodes[2] = 0; tt[0] = r[iface1[0]*3 - 1]; tt[1] = r[iface1[1]*3 - 1]; tt[2] = r[iface1[2]*3 - 1]; tt[3] = r[iface1[3]*3 - 1]; (this->*fDrawFace)(icodes, r, 4, iface1, tt); tt[0] = r[iface2[0]*3 - 1]; tt[1] = r[iface2[1]*3 - 1]; tt[2] = r[iface2[2]*3 - 1]; tt[3] = r[iface2[3]*3 - 1]; (this->*fDrawFace)(icodes, r, 4, iface2, tt); } //______________________________________________________________________________ void TPainter3dAlgorithms::ClearRaster() { // Clear screen Int_t nw = (fNxrast*fNyrast + 29) / 30; for (Int_t i = 0; i < nw; ++i) fRaster[i] = 0; fIfrast = 0; } //______________________________________________________________________________ void TPainter3dAlgorithms::ColorFunction(Int_t nl, Double_t *fl, Int_t *icl, Int_t &irep) { // Set correspondance between function and color levels // // Input: NL - number of levels // FL(NL) - function levels // ICL(NL+1) - colors for levels // // Output: IREP - reply: 0 O.K. // -1 error in parameters: // illegal number of levels // function levels must be in increasing order // negative color index static const char *where = "ColorFunction"; /* Local variables */ Int_t i; irep = 0; if (nl == 0) {fNlevel = 0; return; } // C H E C K P A R A M E T E R S if (nl < 0 || nl > 256) { Error(where, "illegal number of levels (%d)", nl); irep = -1; return; } for (i = 1; i < nl; ++i) { if (fl[i] <= fl[i - 1]) { // Error(where, "function levels must be in increasing order"); irep = -1; return; } } for (i = 0; i < nl; ++i) { if (icl[i] < 0) { // Error(where, "negative color index (%d)", icl[i]); irep = -1; return; } } // S E T L E V E L S fNlevel = nl; for (i = 0; i < fNlevel; ++i) fFunLevel[i] = Hparam.factor*fl[i]; for (i = 0; i < fNlevel+1; ++i) fColorLevel[i] = icl[i]; } //______________________________________________________________________________ void TPainter3dAlgorithms::DefineGridLevels(Int_t ndivz) { // Define the grid levels drawn in the background of surface and lego plots. // The grid levels are aligned on the Z axis' main tick marks. Int_t i, nbins=0; Double_t binLow, binHigh, binWidth; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("GridLevels", "no TView in current pad"); return; } // Find the main tick marks positions. Double_t *rmin = view->GetRmin(); Double_t *rmax = view->GetRmax(); if (ndivz > 0) { THLimitsFinder::Optimize(rmin[2], rmax[2], ndivz, binLow, binHigh, nbins, binWidth, " "); } else { nbins = TMath::Abs(ndivz); binLow = rmin[2]; binHigh = rmax[2]; binWidth = (binHigh-binLow)/nbins; } // Define the grid levels fNlevel = nbins+1; for (i = 0; i < fNlevel; ++i) fFunLevel[i] = binLow+i*binWidth; } //______________________________________________________________________________ void TPainter3dAlgorithms::DrawFaceMode1(Int_t *icodes, Double_t *xyz, Int_t np, Int_t *iface, Double_t *t) { // Draw face - 1st variant // // Function: Draw face - 1st variant // (2 colors: 1st for external surface, 2nd for internal) // // References: WCtoNDC // // Input: ICODES(*) - set of codes for the line (not used) // ICODES(1) - IX // ICODES(2) - IY // XYZ(3,*) - coordinates of nodes // NP - number of nodes // IFACE(NP) - face // T(NP) - additional function defined on this face // (not used in this routine) /* Local variables */ Int_t i, k,ifneg,i1, i2; Double_t x[13], y[13]; Double_t z; Double_t p3[24] /* was [2][12] */; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) return; // T R A N S F E R T O N O R M A L I S E D COORDINATES /* Parameter adjustments */ --t; --iface; xyz -= 4; --icodes; ifneg = 0; for (i = 1; i <= np; ++i) { k = iface[i]; if (k < 0) ifneg = 1; if (k < 0) k = -k; view->WCtoNDC(&xyz[k*3 + 1], &p3[2*i - 2]); x[i - 1] = p3[2*i - 2]; y[i - 1] = p3[2*i - 1]; } // F I N D N O R M A L z = 0; for (i = 1; i <= np; ++i) { i1 = i; i2 = i1 + 1; if (i2 > np) i2 = 1; z = z + p3[2*i1 - 1]*p3[2*i2 - 2] - p3[2*i1 - 2] * p3[2*i2 - 1]; } // D R A W F A C E if (z > 0) SetFillColor(kF3FillColor1); if (z <= 0) SetFillColor(kF3FillColor2); SetFillStyle(1001); TAttFill::Modify(); gPad->PaintFillArea(np, x, y); // D R A W B O R D E R if (ifneg == 0) { SetFillStyle(0); SetFillColor(kF3LineColor); TAttFill::Modify(); gPad->PaintFillArea(np, x, y); } else { x[np] = x[0]; y[np] = y[0]; SetLineColor(kF3LineColor); TAttLine::Modify(); for (i = 1; i <= np; ++i) { if (iface[i] > 0) gPad->PaintPolyLine(2, &x[i-1], &y[i-1]); } } } //______________________________________________________________________________ void TPainter3dAlgorithms::DrawFaceMode2(Int_t *icodes, Double_t *xyz, Int_t np, Int_t *iface, Double_t *t) { // Draw face - 2nd option // // Function: Draw face - 2nd option // (fill in correspondance with function levels) // // References: WCtoNDC, FillPolygon // // Input: ICODES(*) - set of codes for the line (not used) // ICODES(1) - IX // ICODES(2) - IY // XYZ(3,*) - coordinates of nodes // NP - number of nodes // IFACE(NP) - face // T(NP) - additional function defined on this face /* Local variables */ Int_t i, k; Double_t x[12], y[12]; Double_t p3[36] /* was [3][12] */; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) return; // T R A N S F E R T O N O R M A L I S E D COORDINATES /* Parameter adjustments */ --t; --iface; xyz -= 4; --icodes; for (i = 1; i <= np; ++i) { k = iface[i]; view->WCtoNDC(&xyz[k*3 + 1], &p3[i*3 - 3]); x[i - 1] = p3[i*3 - 3]; y[i - 1] = p3[i*3 - 2]; } // D R A W F A C E & B O R D E R FillPolygon(np, p3, &t[1]); if (fMesh == 1) { SetFillColor(1); SetFillStyle(0); TAttFill::Modify(); gPad->PaintFillArea(np, x, y); } } //______________________________________________________________________________ void TPainter3dAlgorithms::DrawFaceMode3(Int_t *icodes, Double_t *xyz, Int_t np, Int_t *iface, Double_t *t) { // Draw face - 3rd option // // Function: Draw face - 3rd option // (draw face for stacked lego plot) // // References: WCtoNDC // // Input: ICODES(*) - set of codes for the line // ICODES(1) - IX coordinate of the line cell // ICODES(2) - IY coordinate of the line cell // ICODES(3) - lego number // ICODES(4) - side: 1-face,2-right,3-back,4-left, // 5-bottom, 6-top // XYZ(3,*) - coordinates of nodes // NP - number of nodes // IFACE(NP) - face // T(*) - additional function (not used here) Int_t i, k; Int_t icol = 0; Double_t x[4], y[4], p3[12] /* was [3][4] */; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) return; /* Parameter adjustments */ --t; --iface; xyz -= 4; --icodes; if (icodes[4] == 6) icol = fColorTop; if (icodes[4] == 5) icol = fColorBottom; if (icodes[4] == 1) icol = fColorMain[icodes[3] - 1]; if (icodes[4] == 2) icol = fColorDark[icodes[3] - 1]; if (icodes[4] == 3) icol = fColorMain[icodes[3] - 1]; if (icodes[4] == 4) icol = fColorDark[icodes[3] - 1]; for (i = 1; i <= np; ++i) { k = iface[i]; view->WCtoNDC(&xyz[k*3 + 1], &p3[i*3 - 3]); x[i - 1] = p3[i*3 - 3]; y[i - 1] = p3[i*3 - 2]; } SetFillStyle(1001); SetFillColor(icol); TAttFill::Modify(); gPad->PaintFillArea(np, x, y); if (fMesh) { SetFillStyle(0); SetFillColor(1); TAttFill::Modify(); gPad->PaintFillArea(np, x, y); } } //______________________________________________________________________________ void TPainter3dAlgorithms::DrawFaceMove1(Int_t *icodes, Double_t *xyz, Int_t np, Int_t *iface, Double_t *tt) { // Draw face - 1st variant for "MOVING SCREEN" algorithm // // Function: Draw face - 1st variant for "MOVING SCREEN" algorithm // (draw face with level lines) // // References: FindLevelLines, WCtoNDC, // FindVisibleDraw, ModifyScreen // // Input: ICODES(*) - set of codes for the line (not used) // ICODES(1) - IX // ICODES(2) - IY // XYZ(3,*) - coordinates of nodes // NP - number of nodes // IFACE(NP) - face // TT(NP) - additional function defined on this face // (not used in this routine) Double_t xdel, ydel; Int_t i, k, i1, i2, il, it; Double_t x[2], y[2]; Double_t p1[3], p2[3], p3[36] /* was [3][12] */; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) return; // C O P Y P O I N T S T O A R R A Y /* Parameter adjustments */ --tt; --iface; xyz -= 4; --icodes; for (i = 1; i <= np; ++i) { k = iface[i]; p3[i*3 - 3] = xyz[k*3 + 1]; p3[i*3 - 2] = xyz[k*3 + 2]; p3[i*3 - 1] = xyz[k*3 + 3]; } // F I N D L E V E L L I N E S FindLevelLines(np, p3, &tt[1]); // D R A W L E V E L L I N E S SetLineStyle(3); TAttLine::Modify(); for (il = 1; il <= fNlines; ++il) { FindVisibleDraw(&fPlines[(2*il + 1)*3 - 9], &fPlines[(2*il + 2)*3 - 9]); view->WCtoNDC(&fPlines[(2*il + 1)*3 - 9], p1); view->WCtoNDC(&fPlines[(2*il + 2)*3 - 9], p2); xdel = p2[0] - p1[0]; ydel = p2[1] - p1[1]; for (it = 1; it <= fNT; ++it) { x[0] = p1[0] + xdel*fT[2*it - 2]; y[0] = p1[1] + ydel*fT[2*it - 2]; x[1] = p1[0] + xdel*fT[2*it - 1]; y[1] = p1[1] + ydel*fT[2*it - 1]; gPad->PaintPolyLine(2, x, y); } } // D R A W F A C E SetLineStyle(1); TAttLine::Modify(); for (i = 1; i <= np; ++i) { i1 = i; i2 = i + 1; if (i == np) i2 = 1; FindVisibleDraw(&p3[i1*3 - 3], &p3[i2*3 - 3]); view->WCtoNDC(&p3[i1*3 - 3], p1); view->WCtoNDC(&p3[i2*3 - 3], p2); xdel = p2[0] - p1[0]; ydel = p2[1] - p1[1]; for (it = 1; it <= fNT; ++it) { x[0] = p1[0] + xdel*fT[2*it - 2]; y[0] = p1[1] + ydel*fT[2*it - 2]; x[1] = p1[0] + xdel*fT[2*it - 1]; y[1] = p1[1] + ydel*fT[2*it - 1]; gPad->PaintPolyLine(2, x, y); } } // M O D I F Y S C R E E N for (i = 1; i <= np; ++i) { i1 = i; i2 = i + 1; if (i == np) i2 = 1; ModifyScreen(&p3[i1*3 - 3], &p3[i2*3 - 3]); } } //______________________________________________________________________________ void TPainter3dAlgorithms::DrawFaceMove3(Int_t *icodes, Double_t *xyz, Int_t np, Int_t *iface, Double_t *tt) { // Draw face - 3rd variant for "MOVING SCREEN" algorithm // // Function: Draw face - 1st variant for "MOVING SCREEN" algorithm // (draw level lines only) // // References: FindLevelLines, WCtoNDC, // FindVisibleDraw, ModifyScreen // // Input: ICODES(*) - set of codes for the line (not used) // ICODES(1) - IX // ICODES(2) - IY // XYZ(3,*) - coordinates of nodes // NP - number of nodes // IFACE(NP) - face // TT(NP) - additional function defined on this face // (not used in this routine) Double_t xdel, ydel; Int_t i, k, i1, i2, il, it; Double_t x[2], y[2]; Double_t p1[3], p2[3], p3[36] /* was [3][12] */; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) return; // Parameter adjustments (ftoc) --tt; --iface; xyz -= 4; --icodes; // Copy points to array for (i = 1; i <= np; ++i) { k = iface[i]; p3[i*3 - 3] = xyz[k*3 + 1]; p3[i*3 - 2] = xyz[k*3 + 2]; p3[i*3 - 1] = xyz[k*3 + 3]; } // Find level lines FindLevelLines(np, p3, &tt[1]); // Draw level lines TAttLine::Modify(); for (il = 1; il <= fNlines; ++il) { FindVisibleDraw(&fPlines[(2*il + 1)*3 - 9], &fPlines[(2*il + 2)*3 - 9]); view->WCtoNDC(&fPlines[(2*il + 1)*3 - 9], p1); view->WCtoNDC(&fPlines[(2*il + 2)*3 - 9], p2); xdel = p2[0] - p1[0]; ydel = p2[1] - p1[1]; for (it = 1; it <= fNT; ++it) { x[0] = p1[0] + xdel*fT[2*it - 2]; y[0] = p1[1] + ydel*fT[2*it - 2]; x[1] = p1[0] + xdel*fT[2*it - 1]; y[1] = p1[1] + ydel*fT[2*it - 1]; gPad->PaintPolyLine(2, x, y); } } // Modify screen for (i = 1; i <= np; ++i) { i1 = i; i2 = i + 1; if (i == np) i2 = 1; ModifyScreen(&p3[i1*3 - 3], &p3[i2*3 - 3]); } } //______________________________________________________________________________ void TPainter3dAlgorithms::DrawFaceMove2(Int_t *icodes, Double_t *xyz, Int_t np, Int_t *iface, Double_t *tt) { // Draw face - 2nd variant for "MOVING SCREEN" algorithm // // Function: Draw face - 2nd variant for "MOVING SCREEN" algorithm // (draw face for stacked lego plot) // // References: FindLevelLines, WCtoNDC, // FindVisibleDraw, ModifyScreen // // Input: ICODES(*) - set of codes for the line (not used) // ICODES(1) - IX // ICODES(2) - IY // ICODES(3) - line code (N of lego) // XYZ(3,*) - coordinates of nodes // NP - number of nodes // IFACE(NP) - face // TT(NP) - additional function defined on this face // (not used in this routine) Double_t xdel, ydel; Int_t i, k, icol, i1, i2, it; Double_t x[2], y[2]; Double_t p1[3], p2[3], p3[36] /* was [3][12] */; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) return; // C O P Y P O I N T S T O A R R A Y /* Parameter adjustments */ --tt; --iface; xyz -= 4; --icodes; for (i = 1; i <= np; ++i) { k = iface[i]; p3[i*3 - 3] = xyz[k*3 + 1]; p3[i*3 - 2] = xyz[k*3 + 2]; p3[i*3 - 1] = xyz[k*3 + 3]; } // D R A W F A C E icol = icodes[3]; if (icol) SetLineColor(fColorMain[icol - 1]); else SetLineColor(1); TAttLine::Modify(); for (i = 1; i <= np; ++i) { i1 = i; i2 = i + 1; if (i == np) i2 = 1; FindVisibleDraw(&p3[i1*3 - 3], &p3[i2*3 - 3]); view->WCtoNDC(&p3[i1*3 - 3], p1); view->WCtoNDC(&p3[i2*3 - 3], p2); xdel = p2[0] - p1[0]; ydel = p2[1] - p1[1]; for (it = 1; it <= fNT; ++it) { x[0] = p1[0] + xdel*fT[2*it - 2]; y[0] = p1[1] + ydel*fT[2*it - 2]; x[1] = p1[0] + xdel*fT[2*it - 1]; y[1] = p1[1] + ydel*fT[2*it - 1]; gPad->PaintPolyLine(2, x, y); } } // M O D I F Y S C R E E N for (i = 1; i <= np; ++i) { i1 = i; i2 = i + 1; if (i == np) i2 = 1; ModifyScreen(&p3[i1*3 - 3], &p3[i2*3 - 3]); } } //______________________________________________________________________________ void TPainter3dAlgorithms::DrawFaceRaster1(Int_t *icodes, Double_t *xyz, Int_t np, Int_t *iface, Double_t *tt) { // Draw face - 1st variant for "RASTER SCREEN" algorithm // // Function: Draw face - 1st variant for "RASTER SCREEN" algorithm // (draw face with level lines) // // References: FindLevelLines, WCtoNDC, // FindVisibleLine, FillPolygonBorder // // Input: ICODES(*) - set of codes for the line (not used) // ICODES(1) - IX // ICODES(2) - IY // XYZ(3,*) - coordinates of nodes // NP - number of nodes // IFACE(NP) - face // TT(NP) - additional function defined on this face // (not used in this routine) Double_t xdel, ydel; Int_t i, k, i1, i2, il, it; Double_t x[2], y[2]; Double_t p1[3], p2[3], p3[36] /* was [3][12] */; Double_t pp[24] /* was [2][12] */; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) return; // C O P Y P O I N T S T O A R R A Y /* Parameter adjustments */ --tt; --iface; xyz -= 4; --icodes; for (i = 1; i <= np; ++i) { k = iface[i]; if (k < 0) k = -k; p3[i*3 - 3] = xyz[k*3 + 1]; p3[i*3 - 2] = xyz[k*3 + 2]; p3[i*3 - 1] = xyz[k*3 + 3]; view->WCtoNDC(&p3[i*3 - 3], &pp[2*i - 2]); } // F I N D L E V E L L I N E S FindLevelLines(np, p3, &tt[1]); // D R A W L E V E L L I N E S SetLineStyle(3); TAttLine::Modify(); for (il = 1; il <= fNlines; ++il) { view->WCtoNDC(&fPlines[(2*il + 1)*3 - 9], p1); view->WCtoNDC(&fPlines[(2*il + 2)*3 - 9], p2); FindVisibleLine(p1, p2, 100, fNT, fT); xdel = p2[0] - p1[0]; ydel = p2[1] - p1[1]; for (it = 1; it <= fNT; ++it) { x[0] = p1[0] + xdel*fT[2*it - 2]; y[0] = p1[1] + ydel*fT[2*it - 2]; x[1] = p1[0] + xdel*fT[2*it - 1]; y[1] = p1[1] + ydel*fT[2*it - 1]; gPad->PaintPolyLine(2, x, y); } } // D R A W F A C E SetLineStyle(1); TAttLine::Modify(); for (i = 1; i <= np; ++i) { if (iface[i] < 0) continue; i1 = i; i2 = i + 1; if (i == np) i2 = 1; FindVisibleLine(&pp[2*i1 - 2], &pp[2*i2 - 2], 100, fNT, fT); xdel = pp[2*i2 - 2] - pp[2*i1 - 2]; ydel = pp[2*i2 - 1] - pp[2*i1 - 1]; for (it = 1; it <= fNT; ++it) { x[0] = pp[2*i1 - 2] + xdel*fT[2*it - 2]; y[0] = pp[2*i1 - 1] + ydel*fT[2*it - 2]; x[1] = pp[2*i1 - 2] + xdel*fT[2*it - 1]; y[1] = pp[2*i1 - 1] + ydel*fT[2*it - 1]; gPad->PaintPolyLine(2, x, y); } } // M O D I F Y S C R E E N FillPolygonBorder(np, pp); } //______________________________________________________________________________ void TPainter3dAlgorithms::DrawFaceRaster2(Int_t *icodes, Double_t *xyz, Int_t np, Int_t *iface, Double_t *tt) { // Draw face - 2nd variant for "RASTER SCREEN" algorithm // // Function: Draw face - 2nd variant for "RASTER SCREEN" algorithm // (draw face for stacked lego plot) // // References: WCtoNDC, FindVisibleLine, FillPolygonBorder // // Input: ICODES(*) - set of codes for the line (not used) // ICODES(1) - IX // ICODES(2) - IY // ICODES(3) - line code (N of lego) // XYZ(3,*) - coordinates of nodes // NP - number of nodes // IFACE(NP) - face // TT(NP) - additional function defined on this face // (not used in this routine) Double_t xdel, ydel; Int_t i, k, icol, i1, i2, it; Double_t p[3], x[2], y[2]; Double_t pp[24] /* was [2][12] */; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) return; // C O P Y P O I N T S T O A R R A Y /* Parameter adjustments */ --tt; --iface; xyz -= 4; --icodes; for (i = 1; i <= np; ++i) { k = iface[i]; if (k < 0) k = -k; view->WCtoNDC(&xyz[k*3 + 1], p); pp[2*i - 2] = p[0]; pp[2*i - 1] = p[1]; } // D R A W F A C E icol = icodes[3]; if (icol) SetLineColor(fColorMain[icol - 1]); else SetLineColor(1); TAttLine::Modify(); for (i = 1; i <= np; ++i) { if (iface[i] < 0) continue; i1 = i; i2 = i + 1; if (i == np) i2 = 1; FindVisibleLine(&pp[2*i1 - 2], &pp[2*i2 - 2], 100, fNT, fT); xdel = pp[2*i2 - 2] - pp[2*i1 - 2]; ydel = pp[2*i2 - 1] - pp[2*i1 - 1]; for (it = 1; it <= fNT; ++it) { x[0] = pp[2*i1 - 2] + xdel*fT[2*it - 2]; y[0] = pp[2*i1 - 1] + ydel*fT[2*it - 2]; x[1] = pp[2*i1 - 2] + xdel*fT[2*it - 1]; y[1] = pp[2*i1 - 1] + ydel*fT[2*it - 1]; gPad->PaintPolyLine(2, x, y); } } // M O D I F Y R A S T E R S C R E E N FillPolygonBorder(np, pp); } //______________________________________________________________________________ void TPainter3dAlgorithms::FillPolygon(Int_t n, Double_t *p, Double_t *f) { // Fill polygon with function values at vertexes // // Input: N - number of vertexes // P(3,*) - polygon // F(*) - function values at nodes // // Errors: - illegal number of vertexes in polygon // - illegal call of FillPolygon: no levels Int_t ilev, i, k, icol, i1, i2, nl, np; Double_t fmin, fmax; Double_t x[12], y[12], f1, f2; Double_t p3[36] /* was [3][12] */; Double_t funmin, funmax; /* Parameter adjustments */ --f; p -= 4; if (n < 3) { Error("FillPolygon", "illegal number of vertices in polygon (%d)", n); return; } if (fNlevel == 0) { // Illegal call of FillPolygon: no levels return; } np = n; nl = fNlevel; if (nl < 0) nl = -nl; fmin = f[1]; fmax = f[1]; for (i = 2; i <= np; ++i) { if (fmin > f[i]) fmin = f[i]; if (fmax < f[i]) fmax = f[i]; } funmin = fFunLevel[0] - 1; if (fmin < funmin) funmin = fmin - 1; funmax = fFunLevel[nl - 1] + 1; if (fmax > funmax) funmax = fmax + 1; // F I N D A N D D R A W S U B P O L Y G O N S f2 = funmin; for (ilev = 1; ilev <= nl+1; ++ilev) { // S E T L E V E L L I M I T S f1 = f2; if (ilev == nl + 1) f2 = funmax; else f2 = fFunLevel[ilev - 1]; if (fmax < f1) return; if (fmin > f2) continue; // F I N D S U B P O L Y G O N k = 0; for (i = 1; i <= np; ++i) { i1 = i; i2 = i + 1; if (i == np) i2 = 1; FindPartEdge(&p[i1*3 + 1], &p[i2*3 + 1], f[i1], f[i2], f1, f2, k, p3); } // D R A W S U B P O L Y G O N if (k < 3) continue; for (i = 1; i <= k; ++i) { x[i - 1] = p3[i*3 - 3]; y[i - 1] = p3[i*3 - 2]; } if (ilev==1) { icol=gPad->GetFillColor(); } else { icol = fColorLevel[ilev - 2]; } SetFillColor(icol); SetFillStyle(1001); TAttFill::Modify(); gPad->PaintFillArea(k, x, y); } } //______________________________________________________________________________ void TPainter3dAlgorithms::FillPolygonBorder(Int_t nn, Double_t *xy) { // Fill a polygon including border ("RASTER SCREEN") // // Input: NN - number of polygon nodes // XY(2,*) - polygon nodes Int_t kbit, nbit, step, ymin, ymax, test[kLmax], xcur[kLmax], xnex[kLmax], i, j, k, n, ibase, t, x, y, xscan[24] /* was [2][kLmax] */, yscan, x1[kLmax+2], y1[kLmax+2], x2[kLmax+2], y2[kLmax+2], ib, nb, dx, dy, iw, nx, xx, yy, signdx, nstart, xx1, xx2, nxa, nxb; // T R A N S F E R T O S C R E E N C O O R D I N A T E S /* Parameter adjustments */ xy -= 3; if (fIfrast) return; n = nn; x1[0] = 0; y1[0] = 0; for (i = 1; i <= n; ++i) { x1[i - 1] = Int_t(fNxrast*((xy[2*i + 1] - fXrast) /fDXrast) - 0.01); y1[i - 1] = Int_t(fNyrast*((xy[2*i + 2] - fYrast) /fDYrast) - 0.01); } x1[n] = x1[0]; y1[n] = y1[0]; // F I N D Y - M I N A N D Y - M A X // S E T R I G H T E D G E O R I E N T A T I O N ymin = y1[0]; ymax = y1[0]; for (i = 1; i <= n; ++i) { if (ymin > y1[i - 1]) ymin = y1[i - 1]; if (ymax < y1[i - 1]) ymax = y1[i - 1]; if (y1[i - 1] <= y1[i]) {x2[i - 1] = x1[i]; y2[i - 1] = y1[i];} else { x2[i - 1] = x1[i - 1]; y2[i - 1] = y1[i - 1]; x1[i - 1] = x1[i]; y1[i - 1] = y1[i]; } } if (ymin >= fNyrast) return; if (ymax < 0) return; if (ymax >= fNyrast) ymax = fNyrast - 1; // S O R T L I N E S for (i = 1; i < n; ++i) { if (y1[i] >= y1[i - 1]) continue; y = y1[i]; k = 1; for (j = i - 1; j >= 1; --j) { if (y < y1[j - 1]) continue; k = j + 1; break; } x = x1[i]; xx = x2[i]; yy = y2[i]; for (j = i; j >= k; --j) { x1[j] = x1[j - 1]; y1[j] = y1[j - 1]; x2[j] = x2[j - 1]; y2[j] = y2[j - 1]; } x1[k - 1] = x; y1[k - 1] = y; x2[k - 1] = xx; y2[k - 1] = yy; } // S E T I N I T I A L V A L U E S for (i = 1; i <= n; ++i) { xcur[i - 1] = x1[i - 1]; dy = y2[i - 1] - y1[i - 1]; dx = x2[i - 1] - x1[i - 1]; signdx = 1; if (dx < 0) signdx = -1; if (dx < 0) dx = -dx; if (dx <= dy) { t = -(dy + 1) / 2 + dx; if (t < 0) { test[i - 1] = t; xnex[i - 1] = xcur[i - 1]; } else { test[i - 1] = t - dy; xnex[i - 1] = xcur[i - 1] + signdx; } } else if (dy != 0) { step = (dx - 1) / (dy + dy) + 1; test[i - 1] = step*dy - (dx + 1) / 2 - dx; xnex[i - 1] = xcur[i - 1] + signdx*step; } } // L O O P O N S C A N L I N E S nstart = 1; for (yscan = ymin; yscan <= ymax; ++yscan) { nx = 0; nxa = 0; nxb = kLmax + 1; for (i = nstart; i <= n; ++i) { if (y1[i - 1] > yscan) goto L500; if (y2[i - 1] <= yscan) { if (i == nstart) ++nstart; if (y2[i - 1] != yscan)continue; --nxb; if (x2[i - 1] >= xcur[i - 1]) { xscan[2*nxb - 2] = xcur[i - 1]; xscan[2*nxb - 1] = x2[i - 1]; } else { xscan[2*nxb - 2] = x2[i - 1]; xscan[2*nxb - 1] = xcur[i - 1]; } continue; } // S T O R E C U R R E N T X // P R E P A R E X F O R N E X T S C A N - L I N E ++nxa; dy = y2[i - 1] - y1[i - 1]; dx = x2[i - 1] - x1[i - 1]; if (dx >= 0) { signdx = 1; xscan[2*nxa - 2] = xcur[i - 1]; xscan[2*nxa - 1] = xnex[i - 1]; if (xscan[2*nxa - 2] != xscan[2*nxa - 1]) { --xscan[2*nxa - 1]; } } else { dx = -dx; signdx = -1; xscan[2*nxa - 2] = xnex[i - 1]; xscan[2*nxa - 1] = xcur[i - 1]; if (xscan[2*nxa - 2] != xscan[2*nxa - 1]) { ++xscan[2*nxa - 2]; } } xcur[i - 1] = xnex[i - 1]; if (dx <= dy) { test[i - 1] += dx; if (test[i - 1] < 0) continue; test[i - 1] -= dy; xnex[i - 1] += signdx; continue; } step = dx / dy; t = test[i - 1] + step*dy; if (t >= 0) { test[i - 1] = t - dx; xnex[i - 1] += signdx*step; } else { test[i - 1] = t + dy - dx; xnex[i - 1] += signdx*(step + 1); } } // S O R T P O I N T S A L O N G X L500: if (yscan < 0) continue; ibase = yscan*fNxrast; if (nxa >= 2) { for (i = 1; i < nxa; ++i) { for (j = i; j >= 1; --j) { if (xscan[2*j] >= xscan[2*j - 2]) continue; x = xscan[2*j]; xscan[2*j] = xscan[2*j - 2]; xscan[2*j - 2] = x; x = xscan[2*j - 1]; xscan[2*j + 1] = xscan[2*j - 1]; xscan[2*j - 1] = x; } } for (i = 1; i <= nxa; i += 2) { ++nx; xscan[2*nx - 2] = xscan[2*i - 2]; x = xscan[2*i + 1]; if (xscan[2*i - 1] > x) x = xscan[2*i - 1]; xscan[2*nx - 1] = x; } } if (nxb <= kLmax) { for (i = nxb; i <= kLmax; ++i) { ++nx; xscan[2*nx - 2] = xscan[2*i - 2]; xscan[2*nx - 1] = xscan[2*i - 1]; } } // C O N C A T E N A T E A N D F I L L while (nx) { xx1 = xscan[2*nx - 2]; xx2 = xscan[2*nx - 1]; --nx; k = 1; while (k <= nx) { if ((xscan[2*k - 2] <= xx2 + 1) && (xscan[2*k - 1] >= xx1 - 1)) { if (xscan[2*k - 2] < xx1) xx1 = xscan[2*k - 2]; if (xscan[2*k - 1] > xx2) xx2 = xscan[2*k - 1]; xscan[2*k - 2] = xscan[2*nx - 2]; xscan[2*k - 1] = xscan[2*nx - 1]; --nx; } else ++k; } if (xx1 < 0) xx1 = 0; if (xx2 >= fNxrast) xx2 = fNxrast - 1; nbit = xx2 - xx1 + 1; kbit = ibase + xx1; iw = kbit / 30; ib = kbit - iw*30 + 1; iw = iw + 1; nb = 30 - ib + 1; if (nb > nbit) nb = nbit; fRaster[iw - 1] = fRaster[iw - 1] | fMask[fJmask[nb - 1] + ib - 1]; nbit -= nb; if (nbit) { while(nbit > 30) { fRaster[iw] = fMask[464]; ++iw; nbit += -30; } fRaster[iw] = fRaster[iw] | fMask[fJmask[nbit - 1]]; ++iw; } } } } //______________________________________________________________________________ void TPainter3dAlgorithms::FindLevelLines(Int_t np, Double_t *f, Double_t *t) { // Find level lines for face // // Input: NP - number of nodes // F(3,NP) - face // T(NP) - additional function // // Error: number of points for line not equal 2 Int_t i, k, i1, i2, il, nl; Double_t tmin, tmax, d1, d2; /* Parameter adjustments */ --t; f -= 4; /* Function Body */ fNlines = 0; if (fNlevel == 0) return; nl = fNlevel; if (nl < 0) nl = -nl; // F I N D Tmin A N D Tmax tmin = t[1]; tmax = t[1]; for (i = 2; i <= np; ++i) { if (t[i] < tmin) tmin = t[i]; if (t[i] > tmax) tmax = t[i]; } if (tmin >= fFunLevel[nl - 1]) return; if (tmax <= fFunLevel[0]) return; // F I N D L E V E L S L I N E S for (il = 1; il <= nl; ++il) { if (tmin >= fFunLevel[il - 1]) continue; if (tmax <= fFunLevel[il - 1]) return; if (fNlines >= 200) return; ++fNlines; fLevelLine[fNlines - 1] = il; k = 0; for (i = 1; i <= np; ++i) { i1 = i; i2 = i + 1; if (i == np) i2 = 1; d1 = t[i1] - fFunLevel[il - 1]; d2 = t[i2] - fFunLevel[il - 1]; if (d1) { if (d1*d2 < 0) goto L320; continue; } ++k; fPlines[(k + 2*fNlines)*3 - 9] = f[i1*3 + 1]; fPlines[(k + 2*fNlines)*3 - 8] = f[i1*3 + 2]; fPlines[(k + 2*fNlines)*3 - 7] = f[i1*3 + 3]; if (k == 1) continue; goto L340; L320: ++k; d1 /= t[i2] - t[i1]; d2 /= t[i2] - t[i1]; fPlines[(k + 2*fNlines)*3 - 9] = d2*f[i1*3 + 1] - d1*f[i2*3 + 1]; fPlines[(k + 2*fNlines)*3 - 8] = d2*f[i1*3 + 2] - d1*f[i2*3 + 2]; fPlines[(k + 2*fNlines)*3 - 7] = d2*f[i1*3 + 3] - d1*f[i2*3 + 3]; if (k != 1) goto L340; } if (k != 2) { Error("FindLevelLines", "number of points for line not equal 2"); --fNlines; } L340: if (il < 0) return; } } //______________________________________________________________________________ void TPainter3dAlgorithms::FindPartEdge(Double_t *p1, Double_t *p2, Double_t f1, Double_t f2, Double_t fmin, Double_t fmax, Int_t &kpp, Double_t *pp) { // Find part of edge // // Function: Find part of edge where function defined on this edge // has value from FMIN to FMAX // // Input: P1(3) - 1st point // P2(3) - 2nd point // F1 - function value at 1st point // F2 - function value at 2nd point // FMIN - min value of layer // FMAX - max value of layer // // Output: KPP - current number of point // PP(3,*) - coordinates of new face Double_t d1, d2; Int_t k1, k2, kk; /* Parameter adjustments */ pp -= 4; --p2; --p1; k1 = 0; if (f1 < fmin) k1 = -2; if (f1 == fmin) k1 = -1; if (f1 == fmax) k1 = 1; if (f1 > fmax) k1 = 2; k2 = 0; if (f2 < fmin) k2 = -2; if (f2 == fmin) k2 = -1; if (f2 == fmax) k2 = 1; if (f2 > fmax) k2 = 2; kk = (k1 + 2)*5 + (k2 + 2) + 1; // K2: -2 -1 0 +1 +2 // K1: -2 -1 0 +1 +2 switch ((int)kk) { case 1: return; case 2: return; case 3: goto L200; case 4: goto L200; case 5: goto L600; case 6: goto L100; case 7: goto L100; case 8: goto L100; case 9: goto L100; case 10: goto L500; case 11: goto L400; case 12: goto L100; case 13: goto L100; case 14: goto L100; case 15: goto L500; case 16: goto L400; case 17: goto L100; case 18: goto L100; case 19: goto L100; case 20: goto L100; case 21: goto L700; case 22: goto L300; case 23: goto L300; case 24: return; case 25: return; } // 1 - S T P O I N T L100: ++kpp; pp[kpp*3 + 1] = p1[1]; pp[kpp*3 + 2] = p1[2]; pp[kpp*3 + 3] = p1[3]; return; // I N T E R S E C T I O N W I T H Fmin L200: ++kpp; d1 = (fmin - f1) / (f1 - f2); d2 = (fmin - f2) / (f1 - f2); pp[kpp*3 + 1] = d2*p1[1] - d1*p2[1]; pp[kpp*3 + 2] = d2*p1[2] - d1*p2[2]; pp[kpp*3 + 3] = d2*p1[3] - d1*p2[3]; return; // I N T E R S E C T I O N W I T H Fmax L300: ++kpp; d1 = (fmax - f1) / (f1 - f2); d2 = (fmax - f2) / (f1 - f2); pp[kpp*3 + 1] = d2*p1[1] - d1*p2[1]; pp[kpp*3 + 2] = d2*p1[2] - d1*p2[2]; pp[kpp*3 + 3] = d2*p1[3] - d1*p2[3]; return; // 1 - S T P O I N T, I N T E R S E C T I O N WITH Fmin L400: ++kpp; pp[kpp*3 + 1] = p1[1]; pp[kpp*3 + 2] = p1[2]; pp[kpp*3 + 3] = p1[3]; ++kpp; d1 = (fmin - f1) / (f1 - f2); d2 = (fmin - f2) / (f1 - f2); pp[kpp*3 + 1] = d2*p1[1] - d1*p2[1]; pp[kpp*3 + 2] = d2*p1[2] - d1*p2[2]; pp[kpp*3 + 3] = d2*p1[3] - d1*p2[3]; return; // 1 - S T P O I N T, I N T E R S E C T I O N WITH Fmax L500: ++kpp; pp[kpp*3 + 1] = p1[1]; pp[kpp*3 + 2] = p1[2]; pp[kpp*3 + 3] = p1[3]; ++kpp; d1 = (fmax - f1) / (f1 - f2); d2 = (fmax - f2) / (f1 - f2); pp[kpp*3 + 1] = d2*p1[1] - d1*p2[1]; pp[kpp*3 + 2] = d2*p1[2] - d1*p2[2]; pp[kpp*3 + 3] = d2*p1[3] - d1*p2[3]; return; // I N T E R S E C T I O N W I T H Fmin, Fmax L600: ++kpp; d1 = (fmin - f1) / (f1 - f2); d2 = (fmin - f2) / (f1 - f2); pp[kpp*3 + 1] = d2*p1[1] - d1*p2[1]; pp[kpp*3 + 2] = d2*p1[2] - d1*p2[2]; pp[kpp*3 + 3] = d2*p1[3] - d1*p2[3]; ++kpp; d1 = (fmax - f1) / (f1 - f2); d2 = (fmax - f2) / (f1 - f2); pp[kpp*3 + 1] = d2*p1[1] - d1*p2[1]; pp[kpp*3 + 2] = d2*p1[2] - d1*p2[2]; pp[kpp*3 + 3] = d2*p1[3] - d1*p2[3]; return; // I N T E R S E C T I O N W I T H Fmax, Fmin L700: ++kpp; d1 = (fmax - f1) / (f1 - f2); d2 = (fmax - f2) / (f1 - f2); pp[kpp*3 + 1] = d2*p1[1] - d1*p2[1]; pp[kpp*3 + 2] = d2*p1[2] - d1*p2[2]; pp[kpp*3 + 3] = d2*p1[3] - d1*p2[3]; ++kpp; d1 = (fmin - f1) / (f1 - f2); d2 = (fmin - f2) / (f1 - f2); pp[kpp*3 + 1] = d2*p1[1] - d1*p2[1]; pp[kpp*3 + 2] = d2*p1[2] - d1*p2[2]; pp[kpp*3 + 3] = d2*p1[3] - d1*p2[3]; } //______________________________________________________________________________ void TPainter3dAlgorithms::FindVisibleDraw(Double_t *r1, Double_t *r2) { // Find visible parts of line (draw line) // // Input: R1(3) - 1-st point of the line // R2(3) - 2-nd point of the line Double_t yy1u, yy2u; Int_t i, icase, i1, i2, icase1, icase2, iv, ifback; Double_t x1, x2, y1, y2, z1, z2, dd, di; Double_t dt, dy; Double_t tt, uu, ww, yy, yy1, yy2, yy1d, yy2d; Double_t *tn = 0; const Double_t kEpsil = 1.e-6; /* Parameter adjustments */ --r2; --r1; TView *view = 0; if (gPad) view = gPad->GetView(); if (view) { tn = view->GetTN(); x1 = tn[0]*r1[1] + tn[1]*r1[2] + tn[2]*r1[3] + tn[3]; x2 = tn[0]*r2[1] + tn[1]*r2[2] + tn[2]*r2[3] + tn[3]; y1 = tn[4]*r1[1] + tn[5]*r1[2] + tn[6]*r1[3] + tn[7]; y2 = tn[4]*r2[1] + tn[5]*r2[2] + tn[6]*r2[3] + tn[7]; z1 = tn[8]*r1[1] + tn[9]*r1[2] + tn[10]*r1[3] + tn[11]; z2 = tn[8]*r2[1] + tn[9]*r2[2] + tn[10]*r2[3] + tn[11]; } else { Error("FindVisibleDraw", "no TView in current pad"); return; } ifback = 0; if (x1 >= x2) { ifback = 1; ww = x1; x1 = x2; x2 = ww; ww = y1; y1 = y2; y2 = ww; ww = z1; z1 = z2; z2 = ww; } fNT = 0; i1 = Int_t((x1 - fX0) / fDX) + 15; i2 = Int_t((x2 - fX0) / fDX) + 15; x1 = fX0 + (i1 - 1)*fDX; x2 = fX0 + (i2 - 1)*fDX; if (i1 != i2) { // F I N D V I S I B L E P A R T S O F T H E L I N E di = (Double_t) (i2 - i1); dy = (y2 - y1) / di; dt = 1 / di; iv = -1; for (i = i1; i <= i2 - 1; ++i) { yy1 = y1 + dy*(i - i1); yy2 = yy1 + dy; yy1u = yy1 - fU[2*i - 2]; yy1d = yy1 - fD[2*i - 2]; yy2u = yy2 - fU[2*i - 1]; yy2d = yy2 - fD[2*i - 1]; tt = dt*(i - i1); // A N A L I Z E L E F T S I D E icase1 = 1; if (yy1u > kEpsil) icase1 = 0; if (yy1d < -kEpsil) icase1 = 2; if ((icase1 == 0 || icase1 == 2) && iv <= 0) { iv = 1; ++fNT; fT[2*fNT - 2] = tt; } if (icase1 == 1 && iv >= 0) { iv = -1; fT[2*fNT - 1] = tt; } // A N A L I Z E R I G H T S I D E icase2 = 1; if (yy2u > kEpsil) icase2 = 0; if (yy2d < -kEpsil) icase2 = 2; icase = icase1*3 + icase2; if (icase == 1) { iv = -1; fT[2*fNT - 1] = tt + dt*(yy1u / (yy1u - yy2u)); } if (icase == 2) { fT[2*fNT - 1] = tt + dt*(yy1u / (yy1u - yy2u)); ++fNT; fT[2*fNT - 2] = tt + dt*(yy1d / (yy1d - yy2d)); } if (icase == 3) { iv = 1; ++fNT; fT[2*fNT - 2] = tt + dt*(yy1u / (yy1u - yy2u)); } if (icase == 5) { iv = 1; ++fNT; fT[2*fNT - 2] = tt + dt*(yy1d / (yy1d - yy2d)); } if (icase == 6) { fT[2*fNT - 1] = tt + dt*(yy1d / (yy1d - yy2d)); ++fNT; fT[2*fNT - 2] = tt + dt*(yy1u / (yy1u - yy2u)); } if (icase == 7) { iv = -1; fT[2*fNT - 1] = tt + dt*(yy1d / (yy1d - yy2d)); } if (fNT + 1 >= 100) break; } if (iv > 0) fT[2*fNT - 1] = 1; } else { // V E R T I C A L L I N E fNT = 1; fT[0] = 0; fT[1] = 1; if (y2 <= y1) { if (y2 == y1) { fNT = 0; return;} ifback = 1 - ifback; yy = y1; y1 = y2; y2 = yy; } uu = fU[2*i1 - 2]; dd = fD[2*i1 - 2]; if (i1 != 1) { if (uu < fU[2*i1 - 3]) uu = fU[2*i1 - 3]; if (dd > fD[2*i1 - 3]) dd = fD[2*i1 - 3]; } // F I N D V I S I B L E P A R T O F L I N E if (y1 < uu && y2 > dd) { if (y1 >= dd && y2 <= uu) {fNT = 0; return;} fNT = 0; if (dd > y1) { ++fNT; fT[2*fNT - 2] = 0; fT[2*fNT - 1] = (dd - y1) / (y2 - y1); } if (uu < y2) { ++fNT; fT[2*fNT - 2] = (uu - y1) / (y2 - y1); fT[2*fNT - 1] = 1; } } } if (ifback == 0) return; if (fNT == 0) return; for (i = 1; i <= fNT; ++i) { fT[2*i - 2] = 1 - fT[2*i - 2]; fT[2*i - 1] = 1 - fT[2*i - 1]; } } //______________________________________________________________________________ void TPainter3dAlgorithms::FindVisibleLine(Double_t *p1, Double_t *p2, Int_t ntmax, Int_t &nt, Double_t *t) { // Find visible part of a line ("RASTER SCREEN") // // Input: P1(2) - 1st point of the line // P2(2) - 2nd point of the line // NTMAX - max allowed number of visible segments // // Output: NT - number of visible segments of the line // T(2,*) - visible segments Double_t ddtt; Double_t tcur; Int_t i, incrx, ivis, x1, y1, x2, y2, ib, kb, dx, dy, iw, ix, iy, ifinve, dx2, dy2; Double_t t1, t2; Double_t dt; Double_t tt; /* Parameter adjustments */ t -= 3; --p2; --p1; if (fIfrast) { nt = 1; t[3] = 0; t[4] = 1; return; } x1 = Int_t(fNxrast*((p1[1] - fXrast) / fDXrast) - 0.01); y1 = Int_t(fNyrast*((p1[2] - fYrast) / fDYrast) - 0.01); x2 = Int_t(fNxrast*((p2[1] - fXrast) / fDXrast) - 0.01); y2 = Int_t(fNyrast*((p2[2] - fYrast) / fDYrast) - 0.01); ifinve = 0; if (y1 > y2) { ifinve = 1; iw = x1; x1 = x2; x2 = iw; iw = y1; y1 = y2; y2 = iw; } nt = 0; ivis = 0; if (y1 >= fNyrast) return; if (y2 < 0) return; if (x1 >= fNxrast && x2 >= fNxrast) return; if (x1 < 0 && x2 < 0) return; // S E T I N I T I A L V A L U E S incrx = 1; dx = x2 - x1; if (dx < 0) { dx = -dx; incrx = -1; } dy = y2 - y1; dx2 = dx + dx; dy2 = dy + dy; if (dy > dx) goto L200; // D X . G T . D Y dt = 1./ (Double_t)(dx + 1.); ddtt = dt*(float).5; tcur = -(Double_t)dt; tt = (Double_t) (-(dx + dy2)); iy = y1; kb = iy*fNxrast + x1 - incrx; for (ix = x1; incrx < 0 ? ix >= x2 : ix <= x2; ix += incrx) { kb += incrx; tcur += dt; tt += dy2; if (tt >= 0) { ++iy; tt -= dx2; kb += fNxrast; } if (iy < 0) goto L110; if (iy >= fNyrast) goto L110; if (ix < 0) goto L110; if (ix >= fNxrast) goto L110; iw = kb / 30; ib = kb - iw*30 + 1; if (fRaster[iw] & fMask[ib - 1]) goto L110; if (ivis > 0) continue; ivis = 1; ++nt; t[2*nt + 1] = tcur; continue; L110: if (ivis == 0) continue; ivis = 0; t[2*nt + 2] = tcur; if (nt == ntmax) goto L300; } if (ivis > 0) t[2*nt + 2] = tcur + dt + ddtt; goto L300; // D Y . G T . D X L200: dt = 1. / (Double_t)(dy + 1.); ddtt = dt*(float).5; tcur = -(Double_t)dt; tt = (Double_t) (-(dy + dx2)); ix = x1; if (y2 >= fNyrast) y2 = fNyrast - 1; kb = (y1 - 1)*fNxrast + ix; for (iy = y1; iy <= y2; ++iy) { kb += fNxrast; tcur += dt; tt += dx2; if (tt >= 0) { ix += incrx; tt -= dy2; kb += incrx; } if (iy < 0) goto L210; if (ix < 0) goto L210; if (ix >= fNxrast) goto L210; iw = kb / 30; ib = kb - iw*30 + 1; if (fRaster[iw] & fMask[ib - 1]) goto L210; if (ivis > 0) continue; ivis = 1; ++nt; t[2*nt + 1] = tcur; continue; L210: if (ivis == 0) continue; ivis = 0; t[2*nt + 2] = tcur; if (nt == ntmax) goto L300; } if (ivis > 0) t[2*nt + 2] = tcur + dt; // C H E C K D I R E C T I O N O F P A R A M E T E R L300: if (nt == 0) return; dt *= 1.1; if (t[3] <= dt) t[3] = 0; if (t[2*nt + 2] >= 1 - dt) t[2*nt + 2] = 1; if (ifinve == 0) return; for (i = 1; i <= nt; ++i) { t1 = t[2*i + 1]; t2 = t[2*i + 2]; t[2*i + 1] = 1 - t2; t[2*i + 2] = 1 - t1; } } //______________________________________________________________________________ void TPainter3dAlgorithms::FrontBox(Double_t ang) { // Draw forward faces of surrounding box & axes // // Function: Draw forward faces of surrounding box & axes // // References: AxisVertex, Gaxis // // Input ANG - angle between X and Y axis // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this face // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function /* Initialized data */ static Int_t iface1[4] = { 1,2,6,5 }; static Int_t iface2[4] = { 2,3,7,6 }; Double_t cosa, sina; Double_t r[24] /* was [3][8] */, av[24] /* was [3][8] */; Int_t icodes[3]; Double_t fdummy[1]; Int_t i, ix1, ix2, iy1, iy2, iz1, iz2; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("FrontBox", "no TView in current pad"); return; } cosa = TMath::Cos(kRad*ang); sina = TMath::Sin(kRad*ang); view->AxisVertex(ang, av, ix1, ix2, iy1, iy2, iz1, iz2); for (i = 1; i <= 8; ++i) { r[i*3 - 3] = av[i*3 - 3] + av[i*3 - 2] * cosa; r[i*3 - 2] = av[i*3 - 2] * sina; r[i*3 - 1] = av[i*3 - 1]; } // D R A W F O R W A R D F A C E S icodes[0] = 0; icodes[1] = 0; icodes[2] = 0; (this->*fDrawFace)(icodes, r, 4, iface1, fdummy); (this->*fDrawFace)(icodes, r, 4, iface2, fdummy); } //______________________________________________________________________________ void TPainter3dAlgorithms::GouraudFunction(Int_t ia, Int_t ib, Double_t *face, Double_t *t) { // Find part of surface with luminosity in the corners // // This routine is used for Gouraud shading Int_t iphi; static Double_t f[108]; /* was [3][4][3][3] */ Int_t i, j, k; Double_t r, s, x[36]; /* was [4][3][3] */ Double_t y[36]; /* was [4][3][3] */ Double_t z[36]; /* was [4][3][3] */ Int_t incrx[3], incry[3]; Double_t x1, x2, y1, y2, z1, z2, th, an[27]; /* was [3][3][3] */ Double_t bn[12]; /* was [3][2][2] */ Double_t rad; Double_t phi; Int_t ixt, iyt; /* Parameter adjustments */ --t; face -= 4; iphi = 1; rad = TMath::ATan(1) * (float)4 / (float)180; // Find real cell indexes ixt = ia + Hparam.xfirst - 1; iyt = ib + Hparam.yfirst - 1; // Find increments of neighboring cells incrx[0] = -1; incrx[1] = 0; incrx[2] = 1; if (ixt == 1) incrx[0] = 0; if (ixt == Hparam.xlast - 1) incrx[2] = 0; incry[0] = -1; incry[1] = 0; incry[2] = 1; if (iyt == 1) incry[0] = 0; if (iyt == Hparam.ylast - 1) incry[2] = 0; // Find neighboring faces Int_t i1, i2; for (j = 1; j <= 3; ++j) { for (i = 1; i <= 3; ++i) { i1 = ia + incrx[i - 1]; i2 = ib + incry[j - 1]; SurfaceFunction(i1, i2, &f[(((i + j*3) << 2) + 1)*3 - 51], &t[1]); } } // Set face for (k = 1; k <= 4; ++k) { for (i = 1; i <= 3; ++i) { face[i + k*3] = f[i + (k + 32)*3 - 52]; } } // Find coordinates and normales for (j = 1; j <= 3; ++j) { for (i = 1; i <= 3; ++i) { for (k = 1; k <= 4; ++k) { if (Hoption.System == kPOLAR) { phi = f[iphi + (k + ((i + j*3) << 2))*3 - 52]*rad; r = f[3 - iphi + (k + ((i + j*3) << 2))*3 - 52]; x[k + ((i + j*3) << 2) - 17] = r * TMath::Cos(phi); y[k + ((i + j*3) << 2) - 17] = r * TMath::Sin(phi); z[k + ((i + j*3) << 2) - 17] = f[(k + ((i + j*3) << 2))*3 - 49]; } else if (Hoption.System == kCYLINDRICAL) { phi = f[iphi + (k + ((i + j*3) << 2))*3 - 52]*rad; r = f[(k + ((i + j*3) << 2))*3 - 49]; x[k + ((i + j*3) << 2) - 17] = r*TMath::Cos(phi); y[k + ((i + j*3) << 2) - 17] = r*TMath::Sin(phi); z[k + ((i + j*3) << 2) - 17] = f[3 - iphi + (k + ((i + j*3) << 2))*3 - 52]; } else if (Hoption.System == kSPHERICAL) { phi = f[iphi + (k + ((i + j*3) << 2))*3 - 52]*rad; th = f[3 - iphi + (k + ((i + j*3) << 2))*3 - 52]*rad; r = f[(k + ((i + j*3) << 2))*3 - 49]; x[k + ((i + j*3) << 2) - 17] = r*TMath::Sin(th)*TMath::Cos(phi); y[k + ((i + j*3) << 2) - 17] = r*TMath::Sin(th)*TMath::Sin(phi); z[k + ((i + j*3) << 2) - 17] = r*TMath::Cos(th); } else if (Hoption.System == kRAPIDITY) { phi = f[iphi + (k + ((i + j*3) << 2))*3 - 52]*rad; th = f[3 - iphi + (k + ((i + j*3) << 2))*3 - 52]*rad; r = f[(k + ((i + j*3) << 2))*3 - 49]; x[k + ((i + j*3) << 2) - 17] = r*TMath::Cos(phi); y[k + ((i + j*3) << 2) - 17] = r*TMath::Sin(phi); z[k + ((i + j*3) << 2) - 17] = r*TMath::Cos(th) / TMath::Sin(th); } else { x[k + ((i + j*3) << 2) - 17] = f[(k + ((i + j*3) << 2))*3 - 51]; y[k + ((i + j*3) << 2) - 17] = f[(k + ((i + j*3) << 2))*3 - 50]; z[k + ((i + j*3) << 2) - 17] = f[(k + ((i + j*3) << 2))*3 - 49]; } } x1 = x[((i + j*3) << 2) - 14] - x[((i + j*3) << 2) - 16]; x2 = x[((i + j*3) << 2) - 13] - x[((i + j*3) << 2) - 15]; y1 = y[((i + j*3) << 2) - 14] - y[((i + j*3) << 2) - 16]; y2 = y[((i + j*3) << 2) - 13] - y[((i + j*3) << 2) - 15]; z1 = z[((i + j*3) << 2) - 14] - z[((i + j*3) << 2) - 16]; z2 = z[((i + j*3) << 2) - 13] - z[((i + j*3) << 2) - 15]; an[(i + j*3)*3 - 12] = y1*z2 - y2*z1; an[(i + j*3)*3 - 11] = z1*x2 - z2*x1; an[(i + j*3)*3 - 10] = x1*y2 - x2*y1; s = TMath::Sqrt(an[(i + j*3)*3 - 12]*an[(i + j*3)*3 - 12] + an[ (i + j*3)*3 - 11]*an[(i + j*3)*3 - 11] + an[(i + j*3)*3 - 10]*an[(i + j*3)*3 - 10]); an[(i + j*3)*3 - 12] /= s; an[(i + j*3)*3 - 11] /= s; an[(i + j*3)*3 - 10] /= s; } } // Find average normals for (j = 1; j <= 2; ++j) { for (i = 1; i <= 2; ++i) { for (k = 1; k <= 3; ++k) { bn[k + (i + 2*j)*3 - 10] = an[k + (i + j*3)*3 - 13] + an[k + (i + 1 + j*3)*3 - 13] + an[k + (i + 1 + (j + 1)*3)*3 - 13] + an[k + (i + (j + 1)*3)*3 - 13]; } } } // Set luminosity Luminosity(bn, t[1]); Luminosity(&bn[3], t[2]); Luminosity(&bn[9], t[3]); Luminosity(&bn[6], t[4]); } //______________________________________________________________________________ void TPainter3dAlgorithms::InitMoveScreen(Double_t xmin, Double_t xmax) { // Initialize "MOVING SCREEN" method // // Input: XMIN - left boundary // XMAX - right boundary fX0 = xmin; fDX = (xmax - xmin) / 1000; for (Int_t i = 1; i <= 1000; ++i) { fU[2*i - 2] = (float)-999; fU[2*i - 1] = (float)-999; fD[2*i - 2] = (float)999; fD[2*i - 1] = (float)999; } } //______________________________________________________________________________ void TPainter3dAlgorithms::InitRaster(Double_t xmin, Double_t ymin, Double_t xmax, Double_t ymax, Int_t nx, Int_t ny ) { // Initialize hidden lines removal algorithm (RASTER SCREEN) // // Input: XMIN - Xmin in the normalized coordinate system // YMIN - Ymin in the normalized coordinate system // XMAX - Xmax in the normalized coordinate system // YMAX - Ymax in the normalized coordinate system // NX - number of pixels along X // NY - number of pixels along Y Int_t i, j, k, ib, nb; fNxrast = nx; fNyrast = ny; fXrast = xmin; fDXrast = xmax - xmin; fYrast = ymin; fDYrast = ymax - ymin; // Create buffer for raster Int_t buffersize = nx*ny/30 + 1; fRaster = new Int_t[buffersize]; // S E T M A S K S k = 0; Int_t pow2 = 1; for (i = 1; i <= 30; ++i) { fJmask[i - 1] = k; k = k + 30 - i + 1; fMask[i - 1] = pow2; pow2 *= 2; } j = 30; for (nb = 2; nb <= 30; ++nb) { for (ib = 1; ib <= 30 - nb + 1; ++ib) { k = 0; for (i = ib; i <= ib + nb - 1; ++i) k = k | fMask[i - 1]; ++j; fMask[j - 1] = k; } } // C L E A R R A S T E R S C R E E N ClearRaster(); } //______________________________________________________________________________ void TPainter3dAlgorithms::LegoFunction(Int_t ia, Int_t ib, Int_t &nv, Double_t *ab, Double_t *vv, Double_t *t) { // Service function for Legos Int_t i, j, ixt, iyt; Double_t xval1l, xval2l, yval1l, yval2l; Double_t xlab1l, xlab2l, ylab1l, ylab2l; Double_t rinrad = gStyle->GetLegoInnerR(); Double_t dangle = 10; //Delta angle for Rapidity option /* Parameter adjustments */ t -= 5; --vv; ab -= 3; ixt = ia + Hparam.xfirst - 1; iyt = ib + Hparam.yfirst - 1; // Compute the cell position in cartesian coordinates // and compute the LOG if necessary Double_t xwid = gCurrentHist->GetXaxis()->GetBinWidth(ixt); Double_t ywid = gCurrentHist->GetYaxis()->GetBinWidth(iyt); ab[3] = gCurrentHist->GetXaxis()->GetBinLowEdge(ixt) + xwid*Hparam.baroffset; ab[4] = gCurrentHist->GetYaxis()->GetBinLowEdge(iyt) + ywid*Hparam.baroffset; ab[5] = ab[3] + xwid*Hparam.barwidth; ab[8] = ab[4] + ywid*Hparam.barwidth; if (Hoption.Logx) { if (ab[3] > 0) ab[3] = TMath::Log10(ab[3]); else ab[3] = Hparam.xmin; if (ab[5] > 0) ab[5] = TMath::Log10(ab[5]); else ab[5] = Hparam.xmin; } xval1l = Hparam.xmin; xval2l = Hparam.xmax; if (Hoption.Logy) { if (ab[4] > 0) ab[4] = TMath::Log10(ab[4]); else ab[4] = Hparam.ymin; if (ab[8] > 0) ab[8] = TMath::Log10(ab[8]); else ab[8] = Hparam.ymin; } yval1l = Hparam.ymin; yval2l = Hparam.ymax; if (ab[3] < Hparam.xmin) ab[3] = Hparam.xmin; if (ab[4] < Hparam.ymin) ab[4] = Hparam.ymin; if (ab[5] > Hparam.xmax) ab[5] = Hparam.xmax; if (ab[8] > Hparam.ymax) ab[8] = Hparam.ymax; if (ab[5] < Hparam.xmin) ab[5] = Hparam.xmin; if (ab[8] < Hparam.ymin) ab[8] = Hparam.ymin; xlab1l = gCurrentHist->GetXaxis()->GetXmin(); xlab2l = gCurrentHist->GetXaxis()->GetXmax(); if (Hoption.Logx) { if (xlab2l>0) { if (xlab1l>0) xlab1l = TMath::Log10(xlab1l); else xlab1l = TMath::Log10(0.001*xlab2l); xlab2l = TMath::Log10(xlab2l); } } ylab1l = gCurrentHist->GetYaxis()->GetXmin(); ylab2l = gCurrentHist->GetYaxis()->GetXmax(); if (Hoption.Logy) { if (ylab2l>0) { if (ylab1l>0) ylab1l = TMath::Log10(ylab1l); else ylab1l = TMath::Log10(0.001*ylab2l); ylab2l = TMath::Log10(ylab2l); } } // Transform the cell position in the required coordinate system if (Hoption.System == kPOLAR) { ab[3] = 360*(ab[3] - xlab1l) / (xlab2l - xlab1l); ab[5] = 360*(ab[5] - xlab1l) / (xlab2l - xlab1l); ab[4] = (ab[4] - yval1l) / (yval2l - yval1l); ab[8] = (ab[8] - yval1l) / (yval2l - yval1l); } else if (Hoption.System == kCYLINDRICAL) { ab[3] = 360*(ab[3] - xlab1l) / (xlab2l - xlab1l); ab[5] = 360*(ab[5] - xlab1l) / (xlab2l - xlab1l); } else if (Hoption.System == kSPHERICAL) { ab[3] = 360*(ab[3] - xlab1l) / (xlab2l - xlab1l); ab[5] = 360*(ab[5] - xlab1l) / (xlab2l - xlab1l); ab[4] = 180*(ab[4] - ylab1l) / (ylab2l - ylab1l); ab[8] = 180*(ab[8] - ylab1l) / (ylab2l - ylab1l); } else if (Hoption.System == kRAPIDITY) { ab[3] = 360*(ab[3] - xlab1l) / (xlab2l - xlab1l); ab[5] = 360*(ab[5] - xlab1l) / (xlab2l - xlab1l); ab[4] = (180 - dangle*2)*(ab[4] - ylab1l) / (ylab2l - ylab1l) + dangle; ab[8] = (180 - dangle*2)*(ab[8] - ylab1l) / (ylab2l - ylab1l) + dangle; } // Complete the cell coordinates ab[6] = ab[4]; ab[7] = ab[5]; ab[9] = ab[3]; ab[10] = ab[8]; // Get the content of the table, and loop on the // stack if necessary. vv[1] = Hparam.zmin; vv[2] = Hparam.factor*gCurrentHist->GetCellContent(ixt, iyt); // In linear scale, 3D boxes all start from 0. if (Hparam.zmin<0 && !Hoption.Logz && gStyle->GetHistMinimumZero()) { if (vv[2]<0) { vv[1] = vv[2]; vv[2] = 0; } else { vv[1]=0; } } TList *stack = gCurrentHist->GetPainter()->GetStack(); Int_t nids = 0; //not yet implemented if (stack) nids = stack->GetSize(); if (nids) { for (i = 2; i <= nids + 1; ++i) { TH1 *hid = (TH1*)stack->At(i-2); vv[i + 1] = Hparam.factor*hid->GetCellContent(ixt, iyt) + vv[i]; vv[i + 1] = TMath::Max(Hparam.zmin, vv[i + 1]); //vv[i + 1] = TMath::Min(Hparam.zmax, vv[i + 1]); } } nv = nids + 2; for (i = 2; i <= nv; ++i) { if (Hoption.Logz) { if (vv[i] > 0) vv[i] = TMath::Max(Hparam.zmin, (Double_t)TMath::Log10(vv[i])); else vv[i] = Hparam.zmin; vv[i] = TMath::Min(vv[i], Hparam.zmax); } else { vv[i] = TMath::Max(Hparam.zmin, vv[i]); vv[i] = TMath::Min(Hparam.zmax, vv[i]); } } if (!Hoption.Logz) { i = 3; while (i <= nv) { if (vv[i] < vv[i - 1]) { vv[i - 1] = vv[i]; i = 3; continue; } ++i; } } // For cylindrical, spherical and pseudo-rapidity, the content // is mapped onto the radius if (Hoption.System == kCYLINDRICAL || Hoption.System == kSPHERICAL || Hoption.System == kRAPIDITY) { for (i = 1; i <= nv; ++i) { vv[i] = (1 - rinrad)*((vv[i] - Hparam.zmin) / (Hparam.zmax - Hparam.zmin)) + rinrad; } } for (i = 1; i <= nv; ++i) { for (j = 1; j <= 4; ++j) t[j + (i << 2)] = vv[i]; } } //______________________________________________________________________________ void TPainter3dAlgorithms::LegoCartesian(Double_t ang, Int_t nx, Int_t ny, const char *chopt) { // Draw stack of lego-plots in cartesian coordinates // // Input: ANG - angle between X ang Y // NX - number of cells along X // NY - number of cells along Y // // FUN(IX,IY,NV,XY,V,T) - external routine // IX - X number of the cell // IY - Y number of the cell // NV - number of values for given cell // XY(2,4)- coordinates of the cell corners // V(NV) - cell values // T(4,NV)- additional function (for example: temperature) // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this line // ICODES(1) - IX // ICODES(2) - IY // ICODES(3) - IV // ICODES(4) - side: 1-face,2-right,3-back,4-left, // 5-bottom, 6-top // XYZ(3,*) - coordinates of nodes // NP - number of nodes // IFACE(NP) - face // T(4) - additional function (here Z-coordinate) // // CHOPT - options: 'BF' - from BACK to FRONT // 'FB' - from FRONT to BACK // //Begin_Html /* <img src="gif/Lego1Cartesian.gif"> */ //End_Html // Local variables Double_t cosa, sina; Int_t ivis[4], iface[4]; Double_t tface[4]; Int_t incrx, incry, i1, k1, k2, ix1, iy1, ix2, iy2, i, iv, ix, iy, nv; Int_t icodes[4]; Double_t zn, xy[8]; // was [2][4] Double_t xyz[24]; // was [3][8] Double_t *tn = 0; TView *view = 0; sina = TMath::Sin(ang*kRad); cosa = TMath::Cos(ang*kRad); // F I N D T H E M O S T L E F T P O I N T if (gPad) view = gPad->GetView(); if (!view) { Error("LegoCartesian", "no TView in current pad"); return; } tn = view->GetTN(); i1 = 1; if (tn[0] < 0) i1 = 2; if (tn[0]*cosa + tn[1]*sina < 0) i1 = 5 - i1; // Allocate v and tt arrays Double_t *v, *tt; Int_t vSize = fNStack+2; if (vSize > kVSizeMax) { v = new Double_t[vSize]; tt = new Double_t[4*vSize]; } else { vSize = kVSizeMax; v = &gV[0]; tt = &gTT[0]; } // D E F I N E O R D E R O F D R A W I N G if (*chopt == 'B' || *chopt == 'b') { incrx = -1; incry = -1; } else { incrx = 1; incry = 1; } if (i1 == 1 || i1 == 2) incrx = -incrx; if (i1 == 2 || i1 == 3) incry = -incry; ix1 = 1; iy1 = 1; if (incrx < 0) ix1 = nx; if (incry < 0) iy1 = ny; ix2 = nx - ix1 + 1; iy2 = ny - iy1 + 1; // F I N D V I S I B I L I T Y O F S I D E S ivis[0] = 0; ivis[1] = 0; ivis[2] = 0; ivis[3] = 0; nv = 0; view->FindNormal(0, 1, 0, zn); if (zn < 0) ivis[0] = 1; if (zn > 0) ivis[2] = 1; view->FindNormal(sina, cosa, 0, zn); if (zn > 0) ivis[1] = 1; if (zn < 0) ivis[3] = 1; // D R A W S T A C K O F L E G O - P L O T S THistPainter *painter = (THistPainter*)gCurrentHist->GetPainter(); for (iy = iy1; incry < 0 ? iy >= iy2 : iy <= iy2; iy += incry) { for (ix = ix1; incrx < 0 ? ix >= ix2 : ix <= ix2; ix += incrx) { if (!painter->IsInside(ix,iy)) continue; (this->*fLegoFunction)(ix, iy, nv, xy, v, tt); if (nv < 2 || nv > vSize) continue; if (Hoption.Zero) { Double_t total_content=0; for (iv = 1; iv < nv; ++iv) total_content += v[iv]; if (total_content==0) continue; } icodes[0] = ix; icodes[1] = iy; for (i = 1; i <= 4; ++i) { xyz[i*3 - 3] = xy[2*i - 2] + xy[2*i - 1]*cosa; xyz[i*3 - 2] = xy[2*i - 1]*sina; xyz[(i + 4)*3 - 3] = xyz[i*3 - 3]; xyz[(i + 4)*3 - 2] = xyz[i*3 - 2]; } // D R A W S T A C K for (iv = 1; iv < nv; ++iv) { for (i = 1; i <= 4; ++i) { xyz[i*3 - 1] = v[iv - 1]; xyz[(i + 4)*3 - 1] = v[iv]; } if (v[iv - 1] == v[iv]) continue; icodes[2] = iv; for (i = 1; i <= 4; ++i) { if (ivis[i - 1] == 0) continue; k1 = i; k2 = i + 1; if (i == 4) k2 = 1; icodes[3] = k1; iface[0] = k1; iface[1] = k2; iface[2] = k2 + 4; iface[3] = k1 + 4; tface[0] = tt[k1 + (iv << 2) - 5]; tface[1] = tt[k2 + (iv << 2) - 5]; tface[2] = tt[k2 + ((iv + 1) << 2) - 5]; tface[3] = tt[k1 + ((iv + 1) << 2) - 5]; (this->*fDrawFace)(icodes, xyz, 4, iface, tface); } } // D R A W B O T T O M F A C E view->FindNormal(0, 0, 1, zn); if (zn < 0) { icodes[2] = 1; icodes[3] = 5; for (i = 1; i <= 4; ++i) { xyz[i*3 - 1] = v[0]; iface[i - 1] = 5 - i; tface[i - 1] = tt[5 - i - 1]; } (this->*fDrawFace)(icodes, xyz, 4, iface, tface); } // D R A W T O P F A C E if (zn > 0) { icodes[2] = nv - 1; icodes[3] = 6; for (i = 1; i <= 4; ++i) { iface[i - 1] = i + 4; tface[i - 1] = tt[i + (nv << 2) - 5]; } Int_t cs = fColorTop; if ( nv > 2 && (v[nv-1] == v[nv-2])) { for (iv = nv-1; iv>2; iv--) { if (v[nv-1] == v[iv-1]) fColorTop = fColorMain[iv-2]; } } (this->*fDrawFace)(icodes, xyz, 4, iface, tface); fColorTop = cs; } } } if (vSize > kVSizeMax) { delete [] v; delete [] tt; } } //______________________________________________________________________________ void TPainter3dAlgorithms::LegoPolar(Int_t iordr, Int_t na, Int_t nb, const char *chopt) { // Draw stack of lego-plots in polar coordinates // // Input: IORDR - order of variables (0 - R,PHI; 1 - PHI,R) // NA - number of steps along 1st variable // NB - number of steps along 2nd variable // // FUN(IA,IB,NV,AB,V,TT) - external routine // IA - cell number for 1st variable // IB - cell number for 2nd variable // NV - number of values for given cell // AB(2,4) - coordinates of the cell corners // V(NV) - cell values // TT(4,*) - additional function // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this face // ICODES(1) - IA // ICODES(2) - IB // ICODES(3) - IV // ICODES(4) - side: 1-internal,2-right,3-external,4-left // 5-bottom, 6-top // XYZ(3,*) - coordinates of nodes // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function // // CHOPT - options: 'BF' - from BACK to FRONT // 'FB' - from FRONT to BACK // //Begin_Html /* <img src="gif/Lego1Polar.gif"> */ //End_Html Int_t iphi, jphi, kphi, incr, nphi, ivis[6], iopt, iphi1, iphi2, iface[4], i, j; Double_t tface[4]; Int_t incrr, k1, k2, ia, ib, ir1, ir2; Double_t ab[8]; // was [2][4] Int_t ir, jr, iv, nr, nv, icodes[4]; Double_t xyz[24]; // was [3][8] ia = ib = 0; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("LegoPolar", "no TView in current pad"); return; } if (iordr == 0) { jr = 1; jphi = 2; nr = na; nphi = nb; } else { jr = 2; jphi = 1; nr = nb; nphi = na; } if (nphi > 180) { Error("LegoPolar", "too many PHI sectors (%d)", nphi); return; } iopt = 2; if (*chopt == 'B' || *chopt == 'b') iopt = 1; // Allocate v and tt arrays Double_t *v, *tt; Int_t vSize = fNStack+2; if (vSize > kVSizeMax) { v = new Double_t[vSize]; tt = new Double_t[4*vSize]; } else { vSize = kVSizeMax; v = &gV[0]; tt = &gTT[0]; } // P R E P A R E P H I A R R A Y // F I N D C R I T I C A L S E C T O R S nv = 0; kphi = nphi; if (iordr == 0) ia = nr; if (iordr != 0) ib = nr; for (i = 1; i <= nphi; ++i) { if (iordr == 0) ib = i; if (iordr != 0) ia = i; (this->*fLegoFunction)(ia, ib, nv, ab, v, tt); if (i == 1) fAphi[0] = ab[jphi - 1]; fAphi[i - 1] = (fAphi[i - 1] + ab[jphi - 1]) / (float)2.; fAphi[i] = ab[jphi + 3]; } view->FindPhiSectors(iopt, kphi, fAphi, iphi1, iphi2); // E N C O D E V I S I B I L I T Y O F S I D E S // A N D O R D E R A L O N G R for (i = 1; i <= nphi; ++i) { if (!iordr) ib = i; if (iordr) ia = i; (this->*fLegoFunction)(ia, ib, nv, ab, v, tt); SideVisibilityEncode(iopt, ab[jphi - 1]*kRad, ab[jphi + 3]*kRad, fAphi[i - 1]); } // D R A W S T A C K O F L E G O - P L O T S incr = 1; iphi = iphi1; L100: if (iphi > nphi) goto L300; // D E C O D E V I S I B I L I T Y O F S I D E S SideVisibilityDecode(fAphi[iphi - 1], ivis[0], ivis[1], ivis[2], ivis[3], ivis[4], ivis[5], incrr); ir1 = 1; if (incrr < 0) ir1 = nr; ir2 = nr - ir1 + 1; // D R A W L E G O S F O R S E C T O R for (ir = ir1; incrr < 0 ? ir >= ir2 : ir <= ir2; ir += incrr) { if (iordr == 0) { ia = ir; ib = iphi; } else { ia = iphi; ib = ir; } (this->*fLegoFunction)(ia, ib, nv, ab, v, tt); if (nv < 2 || nv > vSize) continue; if (Hoption.Zero) { Double_t total_content=0; for (iv = 1; iv < nv; ++iv) total_content += v[iv]; if (total_content==0) continue; } icodes[0] = ia; icodes[1] = ib; for (i = 1; i <= 4; ++i) { j = i; if (iordr != 0 && i == 2) j = 4; if (iordr != 0 && i == 4) j = 2; xyz[j*3 - 3] = ab[jr + 2*i - 3]*TMath::Cos(ab[jphi + 2*i - 3]*kRad); xyz[j*3 - 2] = ab[jr + 2*i - 3]*TMath::Sin(ab[jphi + 2*i - 3]*kRad); xyz[(j + 4)*3 - 3] = xyz[j*3 - 3]; xyz[(j + 4)*3 - 2] = xyz[j*3 - 2]; } // D R A W S T A C K for (iv = 1; iv < nv; ++iv) { for (i = 1; i <= 4; ++i) { xyz[i*3 - 1] = v[iv - 1]; xyz[(i + 4)*3 - 1] = v[iv]; } if (v[iv - 1] >= v[iv]) continue; icodes[2] = iv; for (i = 1; i <= 4; ++i) { if (ivis[i - 1] == 0) continue; k1 = i - 1; if (i == 1) k1 = 4; k2 = i; if (xyz[k1*3 - 3] == xyz[k2*3 - 3] && xyz[k1*3 - 2] == xyz[k2*3 - 2]) continue; iface[0] = k1; iface[1] = k2; iface[2] = k2 + 4; iface[3] = k1 + 4; tface[0] = tt[k1 + (iv << 2) - 5]; tface[1] = tt[k2 + (iv << 2) - 5]; tface[2] = tt[k2 + ((iv + 1) << 2) - 5]; tface[3] = tt[k1 + ((iv + 1) << 2) - 5]; icodes[3] = i; (this->*fDrawFace)(icodes, xyz, 4, iface, tface); } } // D R A W B O T T O M F A C E if (ivis[4] != 0) { icodes[2] = 1; icodes[3] = 5; for (i = 1; i <= 4; ++i) { xyz[i*3 - 1] = v[0]; iface[i - 1] = 5 - i; tface[i - 1] = tt[5 - i - 1]; } (this->*fDrawFace)(icodes, xyz, 4, iface, tface); } // D R A W T O P F A C E if (ivis[5] != 0) { icodes[2] = nv - 1; icodes[3] = 6; for (i = 1; i <= 4; ++i) { iface[i - 1] = i + 4; tface[i - 1] = tt[i + (nv << 2) - 5]; } Int_t cs = fColorTop; if ( nv > 2 && (v[nv-1] == v[nv-2])) { for (iv = nv-1; iv>2; iv--) { if (v[nv-1] == v[iv-1]) fColorTop = fColorMain[iv-2]; } } (this->*fDrawFace)(icodes, xyz, 4, iface, tface); fColorTop = cs; } } // N E X T P H I L300: iphi += incr; if (iphi == 0) iphi = kphi; if (iphi > kphi) iphi = 1; if (iphi != iphi2) goto L100; if (incr == 0) { if (vSize > kVSizeMax) { delete [] v; delete [] tt; } return; } if (incr < 0) { incr = 0; goto L100; } incr = -1; iphi = iphi1; goto L300; } //______________________________________________________________________________ void TPainter3dAlgorithms::LegoCylindrical(Int_t iordr, Int_t na, Int_t nb, const char *chopt) { // Draw stack of lego-plots in cylindrical coordinates // // Input: IORDR - order of variables (0 - Z,PHI; 1 - PHI,Z) // NA - number of steps along 1st variable // NPHI - number of steps along 2nd variable // // FUN(IA,IB,NV,AB,V,TT) - external routine // IA - cell number for 1st variable // IB - cell number for 2nd variable // NV - number of values for given cell // AB(2,4) - coordinates of the cell corners // V(NV) - cell values // TT(4,*) - additional function // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this face // ICODES(1) - IA // ICODES(2) - IB // ICODES(3) - IV // ICODES(4) - side: 1,2,3,4 - ordinary sides // 5-bottom,6-top // XYZ(3,*) - coordinates of nodes // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function // // CHOPT - options: 'BF' - from BACK to FRONT // 'FB' - from FRONT to BACK // //Begin_Html /* <img src="gif/Lego1Cylindrical.gif"> */ //End_Html Int_t iphi, jphi, kphi, incr, nphi, ivis[6], iopt, iphi1, iphi2, iface[4], i, j; Double_t tface[4], z; Double_t ab[8]; // was [2][4] Int_t ia, ib, idummy, iz1, iz2, nz, incrz, k1, k2, nv; Int_t iv, iz, jz, icodes[4]; Double_t cosphi[4]; Double_t sinphi[4]; Double_t xyz[24]; // was [3][8] ia = ib = 0; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("LegoCylindrical", "no TView in current pad"); return; } if (iordr == 0) { jz = 1; jphi = 2; nz = na; nphi = nb; } else { jz = 2; jphi = 1; nz = nb; nphi = na; } if (nphi > 180) { Error("LegoCylindrical", "too many PHI sectors (%d)", nphi); return; } iopt = 2; if (*chopt == 'B' || *chopt == 'b') iopt = 1; // Allocate v and tt arrays Double_t *v, *tt; Int_t vSize = fNStack+2; if (vSize > kVSizeMax) { v = new Double_t[vSize]; tt = new Double_t[4*vSize]; } else { vSize = kVSizeMax; v = &gV[0]; tt = &gTT[0]; } // P R E P A R E P H I A R R A Y // F I N D C R I T I C A L S E C T O R S nv = 0; kphi = nphi; if (iordr == 0) ia = nz; if (iordr != 0) ib = nz; for (i = 1; i <= nphi; ++i) { if (iordr == 0) ib = i; if (iordr != 0) ia = i; (this->*fLegoFunction)(ia, ib, nv, ab, v, tt); if (i == 1) fAphi[0] = ab[jphi - 1]; fAphi[i - 1] = (fAphi[i - 1] + ab[jphi - 1]) / (float)2.; fAphi[i] = ab[jphi + 3]; } view->FindPhiSectors(iopt, kphi, fAphi, iphi1, iphi2); // E N C O D E V I S I B I L I T Y O F S I D E S // A N D O R D E R A L O N G R for (i = 1; i <= nphi; ++i) { if (iordr == 0) ib = i; if (iordr != 0) ia = i; (this->*fLegoFunction)(ia, ib, nv, ab, v, tt); SideVisibilityEncode(iopt, ab[jphi - 1]*kRad, ab[jphi + 3]*kRad, fAphi[i - 1]); } // F I N D O R D E R A L O N G Z incrz = 1; iz1 = 1; view->FindNormal(0, 0, 1, z); if ((z <= 0 && iopt == 1) || (z > 0 && iopt == 2)) { incrz = -1; iz1 = nz; } iz2 = nz - iz1 + 1; // D R A W S T A C K O F L E G O - P L O T S incr = 1; iphi = iphi1; L100: if (iphi > nphi) goto L400; // D E C O D E V I S I B I L I T Y O F S I D E S idummy = 0; SideVisibilityDecode(fAphi[iphi - 1], ivis[4], ivis[1], ivis[5], ivis[3], ivis[0], ivis[2], idummy); for (iz = iz1; incrz < 0 ? iz >= iz2 : iz <= iz2; iz += incrz) { if (iordr == 0) {ia = iz; ib = iphi;} else {ia = iphi; ib = iz;} (this->*fLegoFunction)(ia, ib, nv, ab, v, tt); if (nv < 2 || nv > vSize) continue; icodes[0] = ia; icodes[1] = ib; for (i = 1; i <= 4; ++i) { j = i; if (iordr != 0 && i == 2) j = 4; if (iordr != 0 && i == 4) j = 2; cosphi[j - 1] = TMath::Cos(ab[jphi + 2*i - 3]*kRad); sinphi[j - 1] = TMath::Sin(ab[jphi + 2*i - 3]*kRad); xyz[j*3 - 1] = ab[jz + 2*i - 3]; xyz[(j + 4)*3 - 1] = ab[jz + 2*i - 3]; } // D R A W S T A C K for (iv = 1; iv < nv; ++iv) { for (i = 1; i <= 4; ++i) { xyz[i*3 - 3] = v[iv - 1]*cosphi[i - 1]; xyz[i*3 - 2] = v[iv - 1]*sinphi[i - 1]; xyz[(i + 4)*3 - 3] = v[iv]*cosphi[i - 1]; xyz[(i + 4)*3 - 2] = v[iv]*sinphi[i - 1]; } if (v[iv - 1] >= v[iv]) continue; icodes[2] = iv; for (i = 1; i <= 4; ++i) { if (ivis[i - 1] == 0) continue; k1 = i; k2 = i - 1; if (i == 1) k2 = 4; iface[0] = k1; iface[1] = k2; iface[2] = k2 + 4; iface[3] = k1 + 4; tface[0] = tt[k1 + (iv << 2) - 5]; tface[1] = tt[k2 + (iv << 2) - 5]; tface[2] = tt[k2 + ((iv + 1) << 2) - 5]; tface[3] = tt[k1 + ((iv + 1) << 2) - 5]; icodes[3] = i; (this->*fDrawFace)(icodes, xyz, 4, iface, tface); } } // D R A W B O T T O M F A C E if (ivis[4] != 0 && v[0] > 0) { icodes[2] = 1; icodes[3] = 5; for (i = 1; i <= 4; ++i) { xyz[i*3 - 3] = v[0]*cosphi[i - 1]; xyz[i*3 - 2] = v[0]*sinphi[i - 1]; iface[i - 1] = i; tface[i - 1] = tt[i - 1]; } (this->*fDrawFace)(icodes, xyz, 4, iface, tface); } // D R A W T O P F A C E if (ivis[5] != 0 && v[nv - 1] > 0) { icodes[2] = nv - 1; icodes[3] = 6; for (i = 1; i <= 4; ++i) { iface[i - 1] = 5 - i + 4; tface[i - 1] = tt[5 - i + (nv << 2) - 5]; } Int_t cs = fColorTop; if ( nv > 2 && (v[nv-1] == v[nv-2])) { for (iv = nv-1; iv>2; iv--) { if (v[nv-1] == v[iv-1]) fColorTop = fColorMain[iv-2]; } } (this->*fDrawFace)(icodes, xyz, 4, iface, tface); fColorTop = cs; } } // N E X T P H I L400: iphi += incr; if (iphi == 0) iphi = kphi; if (iphi > kphi) iphi = 1; if (iphi != iphi2) goto L100; if (incr == 0) { if (vSize > kVSizeMax) { delete [] v; delete [] tt; } return; } if (incr < 0) { incr = 0; goto L100; } incr = -1; iphi = iphi1; goto L400; } //______________________________________________________________________________ void TPainter3dAlgorithms::LegoSpherical(Int_t ipsdr, Int_t iordr, Int_t na, Int_t nb, const char *chopt) { // Draw stack of lego-plots spheric coordinates // // Input: IPSDR - pseudo-rapidity flag // IORDR - order of variables (0 - THETA,PHI; 1 - PHI,THETA) // NA - number of steps along 1st variable // NB - number of steps along 2nd variable // // FUN(IA,IB,NV,AB,V,TT) - external routine // IA - cell number for 1st variable // IB - cell number for 2nd variable // NV - number of values for given cell // AB(2,4) - coordinates of the cell corners // V(NV) - cell values // TT(4,*) - additional function // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this face // ICODES(1) - IA // ICODES(2) - IB // ICODES(3) - IV // ICODES(4) - side: 1,2,3,4 - ordinary sides // 5-bottom,6-top // XYZ(3,*) - coordinates of nodes // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function // // CHOPT - options: 'BF' - from BACK to FRONT // 'FB' - from FRONT to BACK Int_t iphi, jphi, kphi, incr, nphi, ivis[6], iopt, iphi1, iphi2, iface[4], i, j; Double_t tface[4], costh[4]; Double_t sinth[4]; Int_t k1, k2, ia, ib, incrth, ith, jth, kth, nth, mth, ith1, ith2, nv; Double_t ab[8]; // was [2][4] Double_t th; Int_t iv, icodes[4]; Double_t zn, cosphi[4]; Double_t sinphi[4], th1, th2, phi; Double_t xyz[24]; // was [3][8] Double_t phi1, phi2; ia = ib = 0; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("LegoSpherical", "no TView in current pad"); return; } if (iordr == 0) { jth = 1; jphi = 2; nth = na; nphi = nb; } else { jth = 2; jphi = 1; nth = nb; nphi = na; } if (nth > 180) { Error("LegoSpherical", "too many THETA sectors (%d)", nth); return; } if (nphi > 180) { Error("LegoSpherical", "too many PHI sectors (%d)", nphi); return; } iopt = 2; if (*chopt == 'B' || *chopt == 'b') iopt = 1; // Allocate v and tt arrays Double_t *v, *tt; Int_t vSize = fNStack+2; if (vSize > kVSizeMax) { v = new Double_t[vSize]; tt = new Double_t[4*vSize]; } else { vSize = kVSizeMax; v = &gV[0]; tt = &gTT[0]; } // P R E P A R E P H I A R R A Y // F I N D C R I T I C A L P H I S E C T O R S nv = 0; kphi = nphi; mth = nth / 2; if (mth == 0) mth = 1; if (iordr == 0) ia = mth; if (iordr != 0) ib = mth; for (i = 1; i <= nphi; ++i) { if (iordr == 0) ib = i; if (iordr != 0) ia = i; (this->*fLegoFunction)(ia, ib, nv, ab, v, tt); if (i == 1) fAphi[0] = ab[jphi - 1]; fAphi[i - 1] = (fAphi[i - 1] + ab[jphi - 1]) / (float)2.; fAphi[i] = ab[jphi + 3]; } view->FindPhiSectors(iopt, kphi, fAphi, iphi1, iphi2); // P R E P A R E T H E T A A R R A Y if (iordr == 0) ib = 1; if (iordr != 0) ia = 1; for (i = 1; i <= nth; ++i) { if (iordr == 0) ia = i; if (iordr != 0) ib = i; (this->*fLegoFunction)(ia, ib, nv, ab, v, tt); if (i == 1) fAphi[0] = ab[jth - 1]; fAphi[i - 1] = (fAphi[i - 1] + ab[jth - 1]) / (float)2.; fAphi[i] = ab[jth + 3]; } // D R A W S T A C K O F L E G O - P L O T S kth = nth; incr = 1; iphi = iphi1; L100: if (iphi > nphi) goto L500; // F I N D C R I T I C A L T H E T A S E C T O R S if (!iordr) {ia = mth; ib = iphi; } else {ia = iphi;ib = mth; } (this->*fLegoFunction)(ia, ib, nv, ab, v, tt); phi = (ab[jphi - 1] + ab[jphi + 3]) / (float)2.; view->FindThetaSectors(iopt, phi, kth, fAphi, ith1, ith2); incrth = 1; ith = ith1; L200: if (ith > nth) goto L400; if (iordr == 0) ia = ith; if (iordr != 0) ib = ith; (this->*fLegoFunction)(ia, ib, nv, ab, v, tt); if (nv < 2 || nv > vSize) goto L400; // D E F I N E V I S I B I L I T Y O F S I D E S for (i = 1; i <= 6; ++i) ivis[i - 1] = 0; phi1 = kRad*ab[jphi - 1]; phi2 = kRad*ab[jphi + 3]; th1 = kRad*ab[jth - 1]; th2 = kRad*ab[jth + 3]; view->FindNormal(TMath::Sin(phi1), -TMath::Cos(phi1), 0, zn); if (zn > 0) ivis[1] = 1; view->FindNormal(-TMath::Sin(phi2), TMath::Cos(phi2), 0, zn); if (zn > 0) ivis[3] = 1; phi = (phi1 + phi2) / (float)2.; view->FindNormal(-TMath::Cos(phi)*TMath::Cos(th1), -TMath::Sin(phi)*TMath::Cos(th1), TMath::Sin(th1), zn); if (zn > 0) ivis[0] = 1; view->FindNormal(TMath::Cos(phi)*TMath::Cos(th2), TMath::Sin(phi)*TMath::Cos(th2), -TMath::Sin(th2), zn); if (zn > 0) ivis[2] = 1; th = (th1 + th2) / (float)2.; if (ipsdr == 1) th = kRad*90; view->FindNormal(TMath::Cos(phi)*TMath::Sin(th), TMath::Sin(phi)*TMath::Sin(th), TMath::Cos(th), zn); if (zn < 0) ivis[4] = 1; if (zn > 0) ivis[5] = 1; // D R A W S T A C K icodes[0] = ia; icodes[1] = ib; for (i = 1; i <= 4; ++i) { j = i; if (iordr != 0 && i == 2) j = 4; if (iordr != 0 && i == 4) j = 2; costh[j - 1] = TMath::Cos(kRad*ab[jth + 2*i - 3]); sinth[j - 1] = TMath::Sin(kRad*ab[jth + 2*i - 3]); cosphi[j - 1] = TMath::Cos(kRad*ab[jphi + 2*i - 3]); sinphi[j - 1] = TMath::Sin(kRad*ab[jphi + 2*i - 3]); } for (iv = 1; iv < nv; ++iv) { if (ipsdr == 1) { for (i = 1; i <= 4; ++i) { xyz[i*3 - 3] = v[iv - 1]*cosphi[i - 1]; xyz[i*3 - 2] = v[iv - 1]*sinphi[i - 1]; xyz[i*3 - 1] = v[iv - 1]*costh[i - 1] / sinth[i - 1]; xyz[(i + 4)*3 - 3] = v[iv]*cosphi[i - 1]; xyz[(i + 4)*3 - 2] = v[iv]*sinphi[i - 1]; xyz[(i + 4)*3 - 1] = v[iv]*costh[i - 1] / sinth[i - 1]; } } else { for (i = 1; i <= 4; ++i) { xyz[i*3 - 3] = v[iv - 1]*sinth[i - 1]*cosphi[i - 1]; xyz[i*3 - 2] = v[iv - 1]*sinth[i - 1]*sinphi[i - 1]; xyz[i*3 - 1] = v[iv - 1]*costh[i - 1]; xyz[(i + 4)*3 - 3] = v[iv]*sinth[i - 1]*cosphi[i - 1]; xyz[(i + 4)*3 - 2] = v[iv]*sinth[i - 1]*sinphi[i - 1]; xyz[(i + 4)*3 - 1] = v[iv]*costh[i - 1]; } } if (v[iv - 1] >= v[iv]) continue; icodes[2] = iv; for (i = 1; i <= 4; ++i) { if (ivis[i - 1] == 0) continue; k1 = i - 1; if (i == 1) k1 = 4; k2 = i; iface[0] = k1; iface[1] = k2; iface[2] = k2 + 4; iface[3] = k1 + 4; tface[0] = tt[k1 + (iv << 2) - 5]; tface[1] = tt[k2 + (iv << 2) - 5]; tface[2] = tt[k2 + ((iv + 1) << 2) - 5]; tface[3] = tt[k1 + ((iv + 1) << 2) - 5]; icodes[3] = i; (this->*fDrawFace)(icodes, xyz, 4, iface, tface); } } // D R A W B O T T O M F A C E if (ivis[4] != 0 && v[0] > 0) { icodes[2] = 1; icodes[3] = 5; for (i = 1; i <= 4; ++i) { if (ipsdr == 1) { xyz[i*3 - 3] = v[0]*cosphi[i - 1]; xyz[i*3 - 2] = v[0]*sinphi[i - 1]; xyz[i*3 - 1] = v[0]*costh[i - 1] / sinth[i - 1]; } else { xyz[i*3 - 3] = v[0]*sinth[i - 1]*cosphi[i - 1]; xyz[i*3 - 2] = v[0]*sinth[i - 1]*sinphi[i - 1]; xyz[i*3 - 1] = v[0]*costh[i - 1]; } iface[i - 1] = 5 - i; tface[i - 1] = tt[5 - i - 1]; } (this->*fDrawFace)(icodes, xyz, 4, iface, tface); } // D R A W T O P F A C E if (ivis[5] != 0 && v[nv - 1] > 0) { icodes[2] = nv - 1; icodes[3] = 6; for (i = 1; i <= 4; ++i) { iface[i - 1] = i + 4; tface[i - 1] = tt[i + 4 + 2*nv - 5]; } Int_t cs = fColorTop; if ( nv > 2 && (v[nv-1] == v[nv-2])) { for (iv = nv-1; iv>2; iv--) { if (v[nv-1] == v[iv-1]) fColorTop = fColorMain[iv-2]; } } (this->*fDrawFace)(icodes, xyz, 4, iface, tface); fColorTop = cs; } // N E X T T H E T A L400: ith += incrth; if (ith == 0) ith = kth; if (ith > kth) ith = 1; if (ith != ith2) goto L200; if (incrth == 0) goto L500; if (incrth < 0) { incrth = 0; goto L200; } incrth = -1; ith = ith1; goto L400; // N E X T P H I L500: iphi += incr; if (iphi == 0) iphi = kphi; if (iphi > kphi) iphi = 1; if (iphi != iphi2) goto L100; if (incr == 0) { if (vSize > kVSizeMax) { delete [] v; delete [] tt; } return; } if (incr < 0) { incr = 0; goto L100; } incr = -1; iphi = iphi1; goto L500; } //______________________________________________________________________________ void TPainter3dAlgorithms::LightSource(Int_t nl, Double_t yl, Double_t xscr, Double_t yscr, Double_t zscr, Int_t &irep) { // Set light source // // Input: NL - source number: -1 off all light sources // 0 set diffused light // YL - intensity of the light source // XSCR | // YSCR > direction of the light (in respect of the screen) // ZSCR | // // Output: IREP - reply : 0 - O.K. // -1 - error in light sources definition: // negative intensity // source number greater than max // light source is placed at origin /* Local variables */ Int_t i; Double_t s; irep = 0; if (nl < 0) goto L100; else if (nl == 0) goto L200; else goto L300; // S W I T C H O F F L I G H T S L100: fLoff = 1; fYdl = 0; for (i = 1; i <= 4; ++i) { fYls[i - 1] = 0; } return; // S E T D I F F U S E D L I G H T L200: if (yl < 0) { Error("LightSource", "negative light intensity"); irep = -1; return; } fYdl = yl; goto L400; // S E T L I G H T S O U R C E L300: if (nl > 4 || yl < 0) { Error("LightSource", "illegal light source number (nl=%d, yl=%f)", nl, yl); irep = -1; return; } s = TMath::Sqrt(xscr*xscr + yscr*yscr + zscr*zscr); if (s == 0) { Error("LightSource", "light source is placed at origin"); irep = -1; return; } fYls[nl - 1] = yl; fVls[nl*3 - 3] = xscr / s; fVls[nl*3 - 2] = yscr / s; fVls[nl*3 - 1] = zscr / s; // C H E C K L I G H T S L400: fLoff = 0; if (fYdl != 0) return; for (i = 1; i <= 4; ++i) { if (fYls[i - 1] != 0) return; } fLoff = 1; } //______________________________________________________________________________ void TPainter3dAlgorithms::Luminosity(Double_t *anorm, Double_t &flum) { // Find surface luminosity at given point // -- // Lightness model formula: Y = YD*QA + > YLi*(QD*cosNi+QS*cosRi) // -- // // B1 = VN(3)*VL(2) - VN(2)*VL(3) // B2 = VN(1)*VL(3) - VN(3)*VL(1) // B3 = VN(2)*VL(1) - VN(1)*VL(2) // B4 = VN(1)*VL(1) + VN(2)*VL(2) + VN(3)*VL(3) // VR(1) = VN(3)*B2 - VN(2)*B3 + VN(1)*B4 // VR(2) =-VN(3)*B1 + VN(1)*B3 + VN(2)*B4 // VR(3) = VN(2)*B1 - VN(1)*B2 + VN(3)*B4 // S = SQRT(VR(1)*VR(1)+VR(2)*VR(2)+VR(3)*VR(3)) // VR(1) = VR(1)/S // VR(2) = VR(2)/S // VR(3) = VR(3)/S // COSR = VR(1)*0. + VR(2)*0. + VR(3)*1. // // References: WCtoNDC // // Input: ANORM(3) - surface normal at given point // // Output: FLUM - luminosity /* Local variables */ Double_t cosn, cosr; Int_t i; Double_t s, vl[3], vn[3]; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) return; /* Parameter adjustments */ --anorm; flum = 0; if (fLoff != 0) return; // T R A N S F E R N O R M A L T O SCREEN COORDINATES view->NormalWCtoNDC(&anorm[1], vn); s = TMath::Sqrt(vn[0]*vn[0] + vn[1]*vn[1] + vn[2]*vn[2]); if (vn[2] < 0) s = -(Double_t)s; vn[0] /= s; vn[1] /= s; vn[2] /= s; // F I N D L U M I N O S I T Y flum = fYdl*fQA; for (i = 1; i <= 4; ++i) { if (fYls[i - 1] <= 0) continue; vl[0] = fVls[i*3 - 3]; vl[1] = fVls[i*3 - 2]; vl[2] = fVls[i*3 - 1]; cosn = vl[0]*vn[0] + vl[1]*vn[1] + vl[2]*vn[2]; if (cosn < 0) continue; cosr = vn[1]*(vn[2]*vl[1] - vn[1]*vl[2]) - vn[0]*(vn[0]*vl[2] - vn[2]*vl[0]) + vn[2]*cosn; if (cosr <= 0) cosr = 0; flum += fYls[i - 1]*(fQD*cosn + fQS*TMath::Power(cosr, fNqs)); } } //______________________________________________________________________________ void TPainter3dAlgorithms::ModifyScreen(Double_t *r1, Double_t *r2) { // Modify SCREEN // // Input: R1(3) - 1-st point of the line // R2(3) - 2-nd point of the line /* Local variables */ Int_t i, i1, i2; Double_t x1, x2, y1, y2, dy, ww, yy1, yy2, *tn; /* Parameter adjustments */ --r2; --r1; TView *view = 0; if (gPad) view = gPad->GetView(); if (view) { tn = view->GetTN(); x1 = tn[0]*r1[1] + tn[1]*r1[2] + tn[2]*r1[3] + tn[3]; x2 = tn[0]*r2[1] + tn[1]*r2[2] + tn[2]*r2[3] + tn[3]; y1 = tn[4]*r1[1] + tn[5]*r1[2] + tn[6]*r1[3] + tn[7]; y2 = tn[4]*r2[1] + tn[5]*r2[2] + tn[6]*r2[3] + tn[7]; } else { Error("ModifyScreen", "no TView in current pad"); return; } if (x1 >= x2) { ww = x1; x1 = x2; x2 = ww; ww = y1; y1 = y2; y2 = ww; } i1 = Int_t((x1 - fX0) / fDX) + 15; i2 = Int_t((x2 - fX0) / fDX) + 15; if (i1 == i2) return; // M O D I F Y B O U N D A R I E S OF THE SCREEN dy = (y2 - y1) / (i2 - i1); for (i = i1; i <= i2 - 1; ++i) { yy1 = y1 + dy*(i - i1); yy2 = yy1 + dy; if (fD[2*i - 2] > yy1) fD[2*i - 2] = yy1; if (fD[2*i - 1] > yy2) fD[2*i - 1] = yy2; if (fU[2*i - 2] < yy1) fU[2*i - 2] = yy1; if (fU[2*i - 1] < yy2) fU[2*i - 1] = yy2; } } //______________________________________________________________________________ void TPainter3dAlgorithms::SetDrawFace(DrawFaceFunc_t drface) { // Store pointer to current algorithm to draw faces fDrawFace = drface; } //______________________________________________________________________________ void TPainter3dAlgorithms::SetLegoFunction(LegoFunc_t fun) { // Store pointer to current lego function fLegoFunction = fun; } //______________________________________________________________________________ void TPainter3dAlgorithms::SetSurfaceFunction(SurfaceFunc_t fun) { // Store pointer to current surface function fSurfaceFunction = fun; } //______________________________________________________________________________ void TPainter3dAlgorithms::SetF3(TF3 *f3) { // Static function // Store pointer to current implicit function fgCurrentF3 = f3; } //______________________________________________________________________________ void TPainter3dAlgorithms::SetF3ClippingBoxOff() { // static function // Set the implicit function clipping box "off". fgF3Clipping = 0; } //______________________________________________________________________________ void TPainter3dAlgorithms::SetF3ClippingBoxOn(Double_t xclip, Double_t yclip, Double_t zclip) { // static function // Set the implicit function clipping box "on" and define the clipping box. // xclip, yclip and zclip is a point within the function range. All the // function value having x<=xclip and y<=yclip and z>=zclip are clipped. fgF3Clipping = 1; fgF3XClip = xclip; fgF3YClip = yclip; fgF3ZClip = zclip; } //______________________________________________________________________________ void TPainter3dAlgorithms::SetColorDark(Color_t color, Int_t n) { // Store dark color for stack number n if (n < 0 ) {fColorBottom = color; return;} if (n > fNStack ) {fColorTop = color; return;} fColorDark[n] = color; } //______________________________________________________________________________ void TPainter3dAlgorithms::SetColorMain(Color_t color, Int_t n) { // Store color for stack number n if (n < 0 ) {fColorBottom = color; return;} if (n > fNStack ) {fColorTop = color; return;} fColorMain[n] = color; } //______________________________________________________________________________ void TPainter3dAlgorithms::SideVisibilityDecode(Double_t val, Int_t &iv1, Int_t &iv2, Int_t &iv3, Int_t &iv4, Int_t &iv5, Int_t &iv6, Int_t &ir) { // Decode side visibilities and order along R for sector // // Input: VAL - encoded value // // Output: IV1 ... IV6 - visibility of the sides // IR - increment along R Int_t ivis[6], i, k, num; k = Int_t(val); num = 128; for (i = 1; i <= 6; ++i) { ivis[i - 1] = 0; num /= 2; if (k < num) continue; k -= num; ivis[i - 1] = 1; } ir = 1; if (k == 1) ir = -1; iv1 = ivis[5]; iv2 = ivis[4]; iv3 = ivis[3]; iv4 = ivis[2]; iv5 = ivis[1]; iv6 = ivis[0]; } //______________________________________________________________________________ void TPainter3dAlgorithms::SideVisibilityEncode(Int_t iopt, Double_t phi1, Double_t phi2, Double_t &val) { // Encode side visibilities and order along R for sector // // Input: IOPT - options: 1 - from BACK to FRONT 'BF' // 2 - from FRONT to BACK 'FB' // PHI1 - 1st phi of sector // PHI2 - 2nd phi of sector // // Output: VAL - encoded value /* Local variables */ Double_t zn, phi; Int_t k = 0; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("SideVisibilityEncode", "no TView in current pad"); return; } view->FindNormal(0, 0, 1, zn); if (zn > 0) k += 64; if (zn < 0) k += 32; view->FindNormal(-TMath::Sin(phi2), TMath::Cos(phi2), 0, zn); if (zn > 0) k += 16; view->FindNormal(TMath::Sin(phi1), -TMath::Cos(phi1), 0, zn); if (zn > 0) k += 4; phi = (phi1 + phi2) / (float)2.; view->FindNormal(TMath::Cos(phi), TMath::Sin(phi), 0, zn); if (zn > 0) k += 8; if (zn < 0) k += 2; if ((zn <= 0 && iopt == 1) || (zn > 0 && iopt == 2)) ++k; val = Double_t(k); } //______________________________________________________________________________ void TPainter3dAlgorithms::Spectrum(Int_t nl, Double_t fmin, Double_t fmax, Int_t ic, Int_t idc, Int_t &irep) { // Set Spectrum // // Input: NL - number of levels // FMIN - MIN function value // FMAX - MAX function value // IC - initial color index (for 1st level) // IDC - color index increment // // Output: IREP - reply: 0 O.K. // -1 error in parameters // F_max less than F_min // illegal number of levels // initial color index is negative // color index increment must be positive static const char *where = "Spectrum"; /* Local variables */ Double_t delf; Int_t i; irep = 0; if (nl == 0) {fNlevel = 0; return; } // C H E C K P A R A M E T E R S if (fmax <= fmin) { Error(where, "fmax (%f) less than fmin (%f)", fmax, fmin); irep = -1; return; } if (nl < 0 || nl > 256) { Error(where, "illegal number of levels (%d)", nl); irep = -1; return; } if (ic < 0) { Error(where, "initial color index is negative"); irep = -1; return; } if (idc < 0) { Error(where, "color index increment must be positive"); irep = -1; } // S E T S P E C T R const Int_t kMAXCOL = 50; delf = (fmax - fmin) / nl; fNlevel = -(nl + 1); for (i = 1; i <= nl+1; ++i) { fFunLevel[i - 1] = fmin + (i - 1)*delf; fColorLevel[i] = ic + (i - 1)*idc; if (ic <= kMAXCOL && fColorLevel[i] > kMAXCOL) fColorLevel[i] -= kMAXCOL; } fColorLevel[0] = fColorLevel[1]; fColorLevel[nl + 1] = fColorLevel[nl]; } //______________________________________________________________________________ void TPainter3dAlgorithms::SurfaceCartesian(Double_t ang, Int_t nx, Int_t ny, const char *chopt) { // Draw surface in cartesian coordinate system // // Input: ANG - angle between X ang Y // NX - number of steps along X // NY - number of steps along Y // // FUN(IX,IY,F,T) - external routine // IX - X number of the cell // IY - Y number of the cell // F(3,4) - face which corresponds to the cell // T(4) - additional function (for example: temperature) // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this face // ICODES(1) - IX // ICODES(2) - IY // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function // // CHOPT - options: 'BF' - from BACK to FRONT // 'FB' - from FRONT to BACK /* Initialized data */ Int_t iface[4] = { 1,2,3,4 }; /* Local variables */ Double_t cosa, sina, f[12] /* was [3][4] */; Int_t i, incrx, incry, i1, ix, iy; Double_t tt[4]; Int_t icodes[2], ix1, iy1, ix2, iy2; Double_t xyz[12] /* was [3][4] */; Double_t *tn; sina = TMath::Sin(ang*kRad); cosa = TMath::Cos(ang*kRad); // F I N D T H E M O S T L E F T P O I N T TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("SurfaceCartesian", "no TView in current pad"); return; } tn = view->GetTN(); i1 = 1; if (tn[0] < 0) i1 = 2; if (tn[0]*cosa + tn[1]*sina < 0) i1 = 5 - i1; // D E F I N E O R D E R O F D R A W I N G if (*chopt == 'B' || *chopt == 'b') {incrx = -1; incry = -1;} else {incrx = 1; incry = 1;} if (i1 == 1 || i1 == 2) incrx = -incrx; if (i1 == 2 || i1 == 3) incry = -incry; ix1 = 1; iy1 = 1; if (incrx < 0) ix1 = nx; if (incry < 0) iy1 = ny; ix2 = nx - ix1 + 1; iy2 = ny - iy1 + 1; // D R A W S U R F A C E THistPainter *painter = (THistPainter*)gCurrentHist->GetPainter(); for (iy = iy1; incry < 0 ? iy >= iy2 : iy <= iy2; iy += incry) { for (ix = ix1; incrx < 0 ? ix >= ix2 : ix <= ix2; ix += incrx) { if (!painter->IsInside(ix,iy)) continue; (this->*fSurfaceFunction)(ix, iy, f, tt); for (i = 1; i <= 4; ++i) { xyz[i*3 - 3] = f[i*3 - 3] + f[i*3 - 2]*cosa; xyz[i*3 - 2] = f[i*3 - 2]*sina; xyz[i*3 - 1] = f[i*3 - 1]; // added EJB --> Double_t al, ab; if (Hoption.Proj == 1 ) { THistPainter::ProjectAitoff2xy(xyz[i*3 - 3], xyz[i*3 - 2], al, ab); xyz[i*3 - 3] = al; xyz[i*3 - 2] = ab; } else if (Hoption.Proj == 2 ) { THistPainter::ProjectMercator2xy(xyz[i*3 - 3], xyz[i*3 - 2], al, ab); xyz[i*3 - 3] = al; xyz[i*3 - 2] = ab; } else if (Hoption.Proj == 3) { THistPainter::ProjectSinusoidal2xy(xyz[i*3 - 3], xyz[i*3 - 2], al, ab); xyz[i*3 - 3] = al; xyz[i*3 - 2] = ab; } else if (Hoption.Proj == 4) { THistPainter::ProjectParabolic2xy(xyz[i*3 - 3], xyz[i*3 - 2], al, ab); xyz[i*3 - 3] = al; xyz[i*3 - 2] = ab; } } icodes[0] = ix; icodes[1] = iy; (this->*fDrawFace)(icodes, xyz, 4, iface, tt); } } } //______________________________________________________________________________ void TPainter3dAlgorithms::SurfaceFunction(Int_t ia, Int_t ib, Double_t *f, Double_t *t) { // Service function for Surfaces static Int_t ixadd[4] = { 0,1,1,0 }; static Int_t iyadd[4] = { 0,0,1,1 }; Double_t rinrad = gStyle->GetLegoInnerR(); Double_t dangle = 10; //Delta angle for Rapidity option Double_t xval1l, xval2l, yval1l, yval2l; Double_t xlab1l, xlab2l, ylab1l, ylab2l; Int_t i, ixa, iya, icx, ixt, iyt; /* Parameter adjustments */ --t; f -= 4; ixt = ia + Hparam.xfirst - 1; iyt = ib + Hparam.yfirst - 1; xval1l = Hparam.xmin; xval2l = Hparam.xmax; yval1l = Hparam.ymin; yval2l = Hparam.ymax; xlab1l = gCurrentHist->GetXaxis()->GetXmin(); xlab2l = gCurrentHist->GetXaxis()->GetXmax(); if (Hoption.Logx) { if (xlab2l>0) { if (xlab1l>0) xlab1l = TMath::Log10(xlab1l); else xlab1l = TMath::Log10(0.001*xlab2l); xlab2l = TMath::Log10(xlab2l); } } ylab1l = gCurrentHist->GetYaxis()->GetXmin(); ylab2l = gCurrentHist->GetYaxis()->GetXmax(); if (Hoption.Logy) { if (ylab2l>0) { if (ylab1l>0) ylab1l = TMath::Log10(ylab1l); else ylab1l = TMath::Log10(0.001*ylab2l); ylab2l = TMath::Log10(ylab2l); } } for (i = 1; i <= 4; ++i) { ixa = ixadd[i - 1]; iya = iyadd[i - 1]; Double_t xwid = gCurrentHist->GetXaxis()->GetBinWidth(ixt+ixa); Double_t ywid = gCurrentHist->GetYaxis()->GetBinWidth(iyt+iya); // Compute the cell position in cartesian coordinates // and compute the LOG if necessary f[i*3 + 1] = gCurrentHist->GetXaxis()->GetBinLowEdge(ixt+ixa) + 0.5*xwid; f[i*3 + 2] = gCurrentHist->GetYaxis()->GetBinLowEdge(iyt+iya) + 0.5*ywid; if (Hoption.Logx) { if (f[i*3 + 1] > 0) f[i*3 + 1] = TMath::Log10(f[i*3 + 1]); else f[i*3 + 1] = Hparam.xmin; } if (Hoption.Logy) { if (f[i*3 + 2] > 0) f[i*3 + 2] = TMath::Log10(f[i*3 + 2]); else f[i*3 + 2] = Hparam.ymin; } // Transform the cell position in the required coordinate system if (Hoption.System == kPOLAR) { f[i*3 + 1] = 360*(f[i*3 + 1] - xlab1l) / (xlab2l - xlab1l); f[i*3 + 2] = (f[i*3 + 2] - yval1l) / (yval2l - yval1l); } else if (Hoption.System == kCYLINDRICAL) { f[i*3 + 1] = 360*(f[i*3 + 1] - xlab1l) / (xlab2l - xlab1l); } else if (Hoption.System == kSPHERICAL) { f[i*3 + 1] = 360*(f[i*3 + 1] - xlab1l) / (xlab2l - xlab1l); f[i*3 + 2] = 360*(f[i*3 + 2] - ylab1l) / (ylab2l - ylab1l); } else if (Hoption.System == kRAPIDITY) { f[i*3 + 1] = 360*(f[i*3 + 1] - xlab1l) / (xlab2l - xlab1l); f[i*3 + 2] = (180 - dangle*2)*(f[i*3 + 2] - ylab1l) / (ylab2l - ylab1l) + dangle; } // Get the content of the table. If the X index (ICX) is // greater than the X size of the table (NCX), that's mean // IGTABL tried to close the surface and in this case the // first channel should be used. */ icx = ixt + ixa; if (icx > Hparam.xlast) icx = 1; f[i*3+3] = Hparam.factor*gCurrentHist->GetCellContent(icx, iyt + iya); if (Hoption.Logz) { if (f[i*3+3] > 0) f[i*3+3] = TMath::Log10(f[i*3+3]); else f[i*3+3] = Hparam.zmin; if (f[i*3+3] < Hparam.zmin) f[i*3+3] = Hparam.zmin; if (f[i*3+3] > Hparam.zmax) f[i*3+3] = Hparam.zmax; } else { f[i*3+3] = TMath::Max(Hparam.zmin, f[i*3+3]); f[i*3+3] = TMath::Min(Hparam.zmax, f[i*3+3]); } // The colors on the surface can represent the content or the errors. // if (fSumw2.fN) t[i] = gCurrentHist->GetCellError(icx, iyt + iya); // else t[i] = f[i * 3 + 3]; t[i] = f[i * 3 + 3]; } // Define the position of the colored contours for SURF3 if (Hoption.Surf == 23) { for (i = 1; i <= 4; ++i) f[i * 3 + 3] = fRmax[2]; } if (Hoption.System == kCYLINDRICAL || Hoption.System == kSPHERICAL || Hoption.System == kRAPIDITY) { for (i = 1; i <= 4; ++i) { f[i*3 + 3] = (1 - rinrad)*((f[i*3 + 3] - Hparam.zmin) / (Hparam.zmax - Hparam.zmin)) + rinrad; } } } //______________________________________________________________________________ void TPainter3dAlgorithms::SurfacePolar(Int_t iordr, Int_t na, Int_t nb, const char *chopt) { // Draw surface in polar coordinates // // Input: IORDR - order of variables (0 - R,PHI, 1 - PHI,R) // NA - number of steps along 1st variable // NB - number of steps along 2nd variable // // FUN(IA,IB,F,T) - external routine // IA - cell number for 1st variable // IB - cell number for 2nd variable // F(3,4) - face which corresponds to the cell // F(1,*) - A // F(2,*) - B // F(3,*) - Z // T(4) - additional function (for example: temperature) // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this face // ICODES(1) - IA // ICODES(2) - IB // XYZ(3,*) - coordinates of nodes // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function // // CHOPT - options: 'BF' - from BACK to FRONT // 'FB' - from FRONT to BACK /* Initialized data */ static Int_t iface[4] = { 1,2,3,4 }; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("SurfacePolar", "no TView in current pad"); return; } Int_t iphi, jphi, kphi, incr, nphi, iopt, iphi1, iphi2; Double_t f[12] /* was [3][4] */; Int_t i, j, incrr, ir1, ir2; Double_t z; Int_t ia, ib, ir, jr, nr, icodes[2]; Double_t tt[4]; Double_t phi, ttt[4], xyz[12] /* was [3][4] */; ia = ib = 0; if (iordr == 0) { jr = 1; jphi = 2; nr = na; nphi = nb; } else { jr = 2; jphi = 1; nr = nb; nphi = na; } if (nphi > 180) { Error("SurfacePolar", "too many PHI sectors (%d)", nphi); return; } iopt = 2; if (*chopt == 'B' || *chopt == 'b') iopt = 1; // P R E P A R E P H I A R R A Y // F I N D C R I T I C A L S E C T O R S kphi = nphi; if (iordr == 0) ia = nr; if (iordr != 0) ib = nr; for (i = 1; i <= nphi; ++i) { if (iordr == 0) ib = i; if (iordr != 0) ia = i; (this->*fSurfaceFunction)(ia, ib, f, tt); if (i == 1) fAphi[0] = f[jphi - 1]; fAphi[i - 1] = (fAphi[i - 1] + f[jphi - 1]) / (float)2.; fAphi[i] = f[jphi + 5]; } view->FindPhiSectors(iopt, kphi, fAphi, iphi1, iphi2); // D R A W S U R F A C E incr = 1; iphi = iphi1; L100: if (iphi > nphi) goto L300; // F I N D O R D E R A L O N G R if (iordr == 0) {ia = nr; ib = iphi;} else {ia = iphi;ib = nr;} (this->*fSurfaceFunction)(ia, ib, f, tt); phi = kRad*((f[jphi - 1] + f[jphi + 5]) / 2); view->FindNormal(TMath::Cos(phi), TMath::Sin(phi), 0, z); incrr = 1; ir1 = 1; if ((z <= 0 && iopt == 1) || (z > 0 && iopt == 2)) { incrr = -1; ir1 = nr; } ir2 = nr - ir1 + 1; // D R A W S U R F A C E F O R S E C T O R for (ir = ir1; incrr < 0 ? ir >= ir2 : ir <= ir2; ir += incrr) { if (iordr == 0) ia = ir; if (iordr != 0) ib = ir; (this->*fSurfaceFunction)(ia, ib, f, tt); for (i = 1; i <= 4; ++i) { j = i; if (iordr != 0 && i == 2) j = 4; if (iordr != 0 && i == 4) j = 2; xyz[j*3 - 3] = f[jr + i*3 - 4]*TMath::Cos(f[jphi + i*3 - 4]*kRad); xyz[j*3 - 2] = f[jr + i*3 - 4]*TMath::Sin(f[jphi + i*3 - 4]*kRad); xyz[j*3 - 1] = f[i*3 - 1]; ttt[j - 1] = tt[i - 1]; } icodes[0] = ia; icodes[1] = ib; (this->*fDrawFace)(icodes, xyz, 4, iface, ttt); } // N E X T P H I L300: iphi += incr; if (iphi == 0) iphi = kphi; if (iphi > kphi) iphi = 1; if (iphi != iphi2) goto L100; if (incr == 0) return; if (incr < 0) { incr = 0; goto L100; } incr = -1; iphi = iphi1; goto L300; } //______________________________________________________________________________ void TPainter3dAlgorithms::SurfaceCylindrical(Int_t iordr, Int_t na, Int_t nb, const char *chopt) { // Draw surface in cylindrical coordinates // // Input: IORDR - order of variables (0 - Z,PHI, 1 - PHI,Z) // NA - number of steps along 1st variable // NB - number of steps along 2nd variable // // FUN(IA,IB,F,T) - external routine // IA - cell number for 1st variable // IB - cell number for 2nd variable // F(3,4) - face which corresponds to the cell // F(1,*) - A // F(2,*) - B // F(3,*) - R // T(4) - additional function (for example: temperature) // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this face // ICODES(1) - IA // ICODES(2) - IB // XYZ(3,*) - coordinates of nodes // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function // // CHOPT - options: 'BF' - from BACK to FRONT // 'FB' - from FRONT to BACK // //Begin_Html /* <img src="gif/Surface1Cylindrical.gif"> */ //End_Html /* Initialized data */ static Int_t iface[4] = { 1,2,3,4 }; Int_t iphi, jphi, kphi, incr, nphi, iopt, iphi1, iphi2; Int_t i, j, incrz, nz, iz1, iz2; Int_t ia, ib, iz, jz, icodes[2]; Double_t f[12] /* was [3][4] */; Double_t z; Double_t tt[4]; Double_t ttt[4], xyz[12] /* was [3][4] */; ia = ib = 0; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("SurfaceCylindrical", "no TView in current pad"); return; } if (iordr == 0) { jz = 1; jphi = 2; nz = na; nphi = nb; } else { jz = 2; jphi = 1; nz = nb; nphi = na; } if (nphi > 180) { Error("SurfaceCylindrical", "too many PHI sectors (%d)", nphi); return; } iopt = 2; if (*chopt == 'B' || *chopt == 'b') iopt = 1; // P R E P A R E P H I A R R A Y // F I N D C R I T I C A L S E C T O R S kphi = nphi; if (iordr == 0) ia = nz; if (iordr != 0) ib = nz; for (i = 1; i <= nphi; ++i) { if (iordr == 0) ib = i; if (iordr != 0) ia = i; (this->*fSurfaceFunction)(ia, ib, f, tt); if (i == 1) fAphi[0] = f[jphi - 1]; fAphi[i - 1] = (fAphi[i - 1] + f[jphi - 1]) / (float)2.; fAphi[i] = f[jphi + 5]; } view->FindPhiSectors(iopt, kphi, fAphi, iphi1, iphi2); // F I N D O R D E R A L O N G Z incrz = 1; iz1 = 1; view->FindNormal(0, 0, 1, z); if ((z <= 0 && iopt == 1) || (z > 0 && iopt == 2)) { incrz = -1; iz1 = nz; } iz2 = nz - iz1 + 1; // D R A W S U R F A C E incr = 1; iphi = iphi1; L100: if (iphi > nphi) goto L400; for (iz = iz1; incrz < 0 ? iz >= iz2 : iz <= iz2; iz += incrz) { if (iordr == 0) {ia = iz; ib = iphi;} else {ia = iphi; ib = iz;} (this->*fSurfaceFunction)(ia, ib, f, tt); for (i = 1; i <= 4; ++i) { j = i; if (iordr == 0 && i == 2) j = 4; if (iordr == 0 && i == 4) j = 2; xyz[j*3 - 3] = f[i*3 - 1]*TMath::Cos(f[jphi + i*3 - 4]*kRad); xyz[j*3 - 2] = f[i*3 - 1]*TMath::Sin(f[jphi + i*3 - 4]*kRad); xyz[j*3 - 1] = f[jz + i*3 - 4]; ttt[j - 1] = tt[i - 1]; } icodes[0] = ia; icodes[1] = ib; (this->*fDrawFace)(icodes, xyz, 4, iface, ttt); } // N E X T P H I L400: iphi += incr; if (iphi == 0) iphi = kphi; if (iphi > kphi) iphi = 1; if (iphi != iphi2) goto L100; if (incr == 0) return; if (incr < 0) { incr = 0; goto L100; } incr = -1; iphi = iphi1; goto L400; } //______________________________________________________________________________ void TPainter3dAlgorithms::SurfaceSpherical(Int_t ipsdr, Int_t iordr, Int_t na, Int_t nb, const char *chopt) { // Draw surface in spheric coordinates // // Input: IPSDR - pseudo-rapidity flag // IORDR - order of variables (0 - THETA,PHI; 1 - PHI,THETA) // NA - number of steps along 1st variable // NB - number of steps along 2nd variable // // FUN(IA,IB,F,T) - external routine // IA - cell number for 1st variable // IB - cell number for 2nd variable // F(3,4) - face which corresponds to the cell // F(1,*) - A // F(2,*) - B // F(3,*) - R // T(4) - additional function (for example: temperature) // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this face // ICODES(1) - IA // ICODES(2) - IB // XYZ(3,*) - coordinates of nodes // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function // // CHOPT - options: 'BF' - from BACK to FRONT // 'FB' - from FRONT to BACK /* Initialized data */ static Int_t iface[4] = { 1,2,3,4 }; Int_t iphi, jphi, kphi, incr, nphi, iopt, iphi1, iphi2; Int_t i, j, incrth, ith, jth, kth, nth, mth, ith1, ith2; Int_t ia, ib, icodes[2]; Double_t f[12] /* was [3][4] */; Double_t tt[4]; Double_t phi; Double_t ttt[4], xyz[12] /* was [3][4] */; ia = ib = 0; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("SurfaceSpherical", "no TView in current pad"); return; } if (iordr == 0) { jth = 1; jphi = 2; nth = na; nphi = nb; } else { jth = 2; jphi = 1; nth = nb; nphi = na; } if (nth > 180) { Error("SurfaceSpherical", "too many THETA sectors (%d)", nth); return; } if (nphi > 180) { Error("SurfaceSpherical", "too many PHI sectors (%d)", nphi); return; } iopt = 2; if (*chopt == 'B' || *chopt == 'b') iopt = 1; // P R E P A R E P H I A R R A Y // F I N D C R I T I C A L P H I S E C T O R S kphi = nphi; mth = nth / 2; if (mth == 0) mth = 1; if (iordr == 0) ia = mth; if (iordr != 0) ib = mth; for (i = 1; i <= nphi; ++i) { if (iordr == 0) ib = i; if (iordr != 0) ia = i; (this->*fSurfaceFunction)(ia, ib, f, tt); if (i == 1) fAphi[0] = f[jphi - 1]; fAphi[i - 1] = (fAphi[i - 1] + f[jphi - 1]) / (float)2.; fAphi[i] = f[jphi + 5]; } view->FindPhiSectors(iopt, kphi, fAphi, iphi1, iphi2); // P R E P A R E T H E T A A R R A Y if (iordr == 0) ib = 1; if (iordr != 0) ia = 1; for (i = 1; i <= nth; ++i) { if (iordr == 0) ia = i; if (iordr != 0) ib = i; (this->*fSurfaceFunction)(ia, ib, f, tt); if (i == 1) fAphi[0] = f[jth - 1]; fAphi[i - 1] = (fAphi[i - 1] + f[jth - 1]) / (float)2.; fAphi[i] = f[jth + 5]; } // D R A W S U R F A C E kth = nth; incr = 1; iphi = iphi1; L100: if (iphi > nphi) goto L500; // F I N D C R I T I C A L T H E T A S E C T O R S if (iordr == 0) {ia = mth; ib = iphi;} else {ia = iphi;ib = mth;} (this->*fSurfaceFunction)(ia, ib, f, tt); phi = (f[jphi - 1] + f[jphi + 5]) / (float)2.; view->FindThetaSectors(iopt, phi, kth, fAphi, ith1, ith2); incrth = 1; ith = ith1; L200: if (ith > nth) goto L400; if (iordr == 0) ia = ith; if (iordr != 0) ib = ith; (this->*fSurfaceFunction)(ia, ib, f, tt); if (ipsdr == 1) { for (i = 1; i <= 4; ++i) { j = i; if (iordr != 0 && i == 2) j = 4; if (iordr != 0 && i == 4) j = 2; xyz[j * 3 - 3] = f[i*3 - 1]*TMath::Cos(f[jphi + i*3 - 4]*kRad); xyz[j * 3 - 2] = f[i*3 - 1]*TMath::Sin(f[jphi + i*3 - 4]*kRad); xyz[j * 3 - 1] = f[i*3 - 1]*TMath::Cos(f[jth + i*3 - 4]*kRad) / TMath::Sin(f[jth + i*3 - 4]*kRad); ttt[j - 1] = tt[i - 1]; } } else { for (i = 1; i <= 4; ++i) { j = i; if (iordr != 0 && i == 2) j = 4; if (iordr != 0 && i == 4) j = 2; xyz[j*3 - 3] = f[i*3 - 1]*TMath::Sin(f[jth + i*3 - 4]*kRad)*TMath::Cos(f[jphi + i*3 - 4]*kRad); xyz[j*3 - 2] = f[i*3 - 1]*TMath::Sin(f[jth + i*3 - 4]*kRad)*TMath::Sin(f[jphi + i*3 - 4]*kRad); xyz[j*3 - 1] = f[i*3 - 1]*TMath::Cos(f[jth + i*3 - 4]*kRad); ttt[j - 1] = tt[i - 1]; } } icodes[0] = ia; icodes[1] = ib; (this->*fDrawFace)(icodes, xyz, 4, iface, ttt); // N E X T T H E T A L400: ith += incrth; if (ith == 0) ith = kth; if (ith > kth) ith = 1; if (ith != ith2) goto L200; if (incrth == 0) goto L500; if (incrth < 0) { incrth = 0; goto L200; } incrth = -1; ith = ith1; goto L400; // N E X T P H I L500: iphi += incr; if (iphi == 0) iphi = kphi; if (iphi > kphi) iphi = 1; if (iphi != iphi2) goto L100; if (incr == 0) return; if (incr < 0) { incr = 0; goto L100; } incr = -1; iphi = iphi1; goto L500; } //______________________________________________________________________________ void TPainter3dAlgorithms::SurfaceProperty(Double_t qqa, Double_t qqd, Double_t qqs, Int_t nnqs, Int_t &irep) { // Set surface property coefficients // // Input: QQA - diffusion coefficient for diffused light [0.,1.] // QQD - diffusion coefficient for direct light [0.,1.] // QQS - diffusion coefficient for reflected light [0.,1.] // NNCS - power coefficient for reflected light (.GE.1) // // -- // Lightness model formula: Y = YD*QA + > YLi*(QD*cosNi+QS*cosRi) // -- // // Output: IREP - reply : 0 - O.K. // -1 - error in cooefficients irep = 0; if (qqa < 0 || qqa > 1 || qqd < 0 || qqd > 1 || qqs < 0 || qqs > 1 || nnqs < 1) { Error("SurfaceProperty", "error in coefficients"); irep = -1; return; } fQA = qqa; fQD = qqd; fQS = qqs; fNqs = nnqs; } //______________________________________________________________________________ void TPainter3dAlgorithms::ImplicitFunction(Double_t *rmin, Double_t *rmax, Int_t nx, Int_t ny, Int_t nz, const char *chopt) { // Draw implicit function FUN(X,Y,Z) = 0 in cartesian coordinates using // hidden surface removal algorithm "Painter". // // Input: FUN - external routine FUN(X,Y,Z) // RMIN(3) - min scope coordinates // RMAX(3) - max scope coordinates // NX - number of steps along X // NY - number of steps along Y // NZ - number of steps along Z // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(*) - set of codes for this face // ICODES(1) - 1 // ICODES(2) - 1 // ICODES(3) - 1 // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function (lightness) // // CHOPT - options: 'BF' - from BACK to FRONT // 'FB' - from FRONT to BACK Int_t ix, iy, iz; Int_t ix1, iy1, iz1; Int_t ix2, iy2, iz2; Int_t incr, incrx, incry, incrz; Int_t icodes[3], i, i1, i2, k, nnod, ntria; Double_t x1=0, x2=0, y1, y2, z1, z2; Double_t dx, dy, dz; Double_t p[8][3], pf[8], pn[8][3], t[3], fsurf, w; Double_t xyz[kNmaxp][3], xyzn[kNmaxp][3], grad[kNmaxp][3]; Double_t dtria[kNmaxt][6], abcd[kNmaxt][4]; Int_t itria[kNmaxt][3], iorder[kNmaxt]; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("ImplicitFunction", "no TView in current pad"); return; } Double_t *tnorm = view->GetTnorm(); // D E F I N E O R D E R O F D R A W I N G if (*chopt == 'B' || *chopt == 'b') { incrx = +1; incry = +1; incrz = +1; } else { incrx = -1; incry = -1; incrz = -1; } if (tnorm[8] < 0.) incrx =-incrx; if (tnorm[9] < 0.) incry =-incry; if (tnorm[10] < 0.) incrz =-incrz; ix1 = 1; iy1 = 1; iz1 = 1; if (incrx == -1) ix1 = nx; if (incry == -1) iy1 = ny; if (incrz == -1) iz1 = nz; ix2 = nx - ix1 + 1; iy2 = ny - iy1 + 1; iz2 = nz - iz1 + 1; dx = (rmax[0]-rmin[0]) / nx; dy = (rmax[1]-rmin[1]) / ny; dz = (rmax[2]-rmin[2]) / nz; // Define the colors used to draw the function Float_t r, g, b, hue, light, satur, light2; TColor *colref = gROOT->GetColor(fgCurrentF3->GetFillColor()); colref->GetRGB(r, g, b); TColor::RGBtoHLS(r, g, b, hue, light, satur); TColor *acol; acol = gROOT->GetColor(kF3FillColor1); acol->SetRGB(r, g, b); if (light >= 0.5) { light2 = .5*light; } else { light2 = 1-.5*light; } TColor::HLStoRGB(hue, light2, satur, r, g, b); acol = gROOT->GetColor(kF3FillColor2); acol->SetRGB(r, g, b); colref = gROOT->GetColor(fgCurrentF3->GetLineColor()); colref->GetRGB(r, g, b); acol = gROOT->GetColor(kF3LineColor); acol->SetRGB(r, g, b); // D R A W F U N C T I O N for (iz = iz1; incrz < 0 ? iz >= iz2 : iz <= iz2; iz += incrz) { z1 = (iz-1)*dz + rmin[2]; z2 = z1 + dz; p[0][2] = z1; p[1][2] = z1; p[2][2] = z1; p[3][2] = z1; p[4][2] = z2; p[5][2] = z2; p[6][2] = z2; p[7][2] = z2; for (iy = iy1; incry < 0 ? iy >= iy2 : iy <= iy2; iy += incry) { y1 = (iy-1)*dy + rmin[1]; y2 = y1 + dy; p[0][1] = y1; p[1][1] = y1; p[2][1] = y2; p[3][1] = y2; p[4][1] = y1; p[5][1] = y1; p[6][1] = y2; p[7][1] = y2; if (incrx == +1) { x2 = rmin[0]; pf[1] = fgCurrentF3->Eval(x2,y1,z1); pf[2] = fgCurrentF3->Eval(x2,y2,z1); pf[5] = fgCurrentF3->Eval(x2,y1,z2); pf[6] = fgCurrentF3->Eval(x2,y2,z2); } else { x1 = rmax[0]; pf[0] = fgCurrentF3->Eval(x1,y1,z1); pf[3] = fgCurrentF3->Eval(x1,y2,z1); pf[4] = fgCurrentF3->Eval(x1,y1,z2); pf[7] = fgCurrentF3->Eval(x1,y2,z2); } for (ix = ix1; incrx < 0 ? ix >= ix2 : ix <= ix2; ix += incrx) { icodes[0] = ix; icodes[1] = iy; icodes[2] = iz; if (incrx == +1) { x1 = x2; x2 = x2 + dx; pf[0] = pf[1]; pf[3] = pf[2]; pf[4] = pf[5]; pf[7] = pf[6]; pf[1] = fgCurrentF3->Eval(x2,y1,z1); pf[2] = fgCurrentF3->Eval(x2,y2,z1); pf[5] = fgCurrentF3->Eval(x2,y1,z2); pf[6] = fgCurrentF3->Eval(x2,y2,z2); } else { x2 = x1; x1 = x1 - dx; pf[1] = pf[0]; pf[2] = pf[3]; pf[5] = pf[4]; pf[6] = pf[7]; pf[0] = fgCurrentF3->Eval(x1,y1,z1); pf[3] = fgCurrentF3->Eval(x1,y2,z1); pf[4] = fgCurrentF3->Eval(x1,y1,z2); pf[7] = fgCurrentF3->Eval(x1,y2,z2); } if (pf[0] >= -kFdel) goto L110; if (pf[1] >= -kFdel) goto L120; if (pf[2] >= -kFdel) goto L120; if (pf[3] >= -kFdel) goto L120; if (pf[4] >= -kFdel) goto L120; if (pf[5] >= -kFdel) goto L120; if (pf[6] >= -kFdel) goto L120; if (pf[7] >= -kFdel) goto L120; goto L510; L110: if (pf[1] < -kFdel) goto L120; if (pf[2] < -kFdel) goto L120; if (pf[3] < -kFdel) goto L120; if (pf[4] < -kFdel) goto L120; if (pf[5] < -kFdel) goto L120; if (pf[6] < -kFdel) goto L120; if (pf[7] < -kFdel) goto L120; goto L510; L120: p[0][0] = x1; p[1][0] = x2; p[2][0] = x2; p[3][0] = x1; p[4][0] = x1; p[5][0] = x2; p[6][0] = x2; p[7][0] = x1; // F I N D G R A D I E N T S // Find X-gradient if (ix == 1) { pn[0][0] = (pf[1] - pf[0]) / dx; pn[3][0] = (pf[2] - pf[3]) / dx; pn[4][0] = (pf[5] - pf[4]) / dx; pn[7][0] = (pf[6] - pf[7]) / dx; } else { pn[0][0] = (pf[1] - fgCurrentF3->Eval(x1-dx,y1,z1)) / (dx + dx); pn[3][0] = (pf[2] - fgCurrentF3->Eval(x1-dx,y2,z1)) / (dx + dx); pn[4][0] = (pf[5] - fgCurrentF3->Eval(x1-dx,y1,z2)) / (dx + dx); pn[7][0] = (pf[6] - fgCurrentF3->Eval(x1-dx,y2,z2)) / (dx + dx); } if (ix == nx) { pn[1][0] = (pf[1] - pf[0]) / dx; pn[2][0] = (pf[2] - pf[3]) / dx; pn[5][0] = (pf[5] - pf[4]) / dx; pn[6][0] = (pf[6] - pf[7]) / dx; } else { pn[1][0] = (fgCurrentF3->Eval(x2+dx,y1,z1) - pf[0]) / (dx + dx); pn[2][0] = (fgCurrentF3->Eval(x2+dx,y2,z1) - pf[3]) / (dx + dx); pn[5][0] = (fgCurrentF3->Eval(x2+dx,y1,z2) - pf[4]) / (dx + dx); pn[6][0] = (fgCurrentF3->Eval(x2+dx,y2,z2) - pf[7]) / (dx + dx); } // Find Y-gradient if (iy == 1) { pn[0][1] = (pf[3] - pf[0]) / dy; pn[1][1] = (pf[2] - pf[1]) / dy; pn[4][1] = (pf[7] - pf[4]) / dy; pn[5][1] = (pf[6] - pf[5]) / dy; } else { pn[0][1] = (pf[3] - fgCurrentF3->Eval(x1,y1-dy,z1)) / (dy + dy); pn[1][1] = (pf[2] - fgCurrentF3->Eval(x2,y1-dy,z1)) / (dy + dy); pn[4][1] = (pf[7] - fgCurrentF3->Eval(x1,y1-dy,z2)) / (dy + dy); pn[5][1] = (pf[6] - fgCurrentF3->Eval(x2,y1-dy,z2)) / (dy + dy); } if (iy == ny) { pn[2][1] = (pf[2] - pf[1]) / dy; pn[3][1] = (pf[3] - pf[0]) / dy; pn[6][1] = (pf[6] - pf[5]) / dy; pn[7][1] = (pf[7] - pf[4]) / dy; } else { pn[2][1] = (fgCurrentF3->Eval(x2,y2+dy,z1) - pf[1]) / (dy + dy); pn[3][1] = (fgCurrentF3->Eval(x1,y2+dy,z1) - pf[0]) / (dy + dy); pn[6][1] = (fgCurrentF3->Eval(x2,y2+dy,z2) - pf[5]) / (dy + dy); pn[7][1] = (fgCurrentF3->Eval(x1,y2+dy,z2) - pf[4]) / (dy + dy); } // Find Z-gradient if (iz == 1) { pn[0][2] = (pf[4] - pf[0]) / dz; pn[1][2] = (pf[5] - pf[1]) / dz; pn[2][2] = (pf[6] - pf[2]) / dz; pn[3][2] = (pf[7] - pf[3]) / dz; } else { pn[0][2] = (pf[4] - fgCurrentF3->Eval(x1,y1,z1-dz)) / (dz + dz); pn[1][2] = (pf[5] - fgCurrentF3->Eval(x2,y1,z1-dz)) / (dz + dz); pn[2][2] = (pf[6] - fgCurrentF3->Eval(x2,y2,z1-dz)) / (dz + dz); pn[3][2] = (pf[7] - fgCurrentF3->Eval(x1,y2,z1-dz)) / (dz + dz); } if (iz == nz) { pn[4][2] = (pf[4] - pf[0]) / dz; pn[5][2] = (pf[5] - pf[1]) / dz; pn[6][2] = (pf[6] - pf[2]) / dz; pn[7][2] = (pf[7] - pf[3]) / dz; } else { pn[4][2] = (fgCurrentF3->Eval(x1,y1,z2+dz) - pf[0]) / (dz + dz); pn[5][2] = (fgCurrentF3->Eval(x2,y1,z2+dz) - pf[1]) / (dz + dz); pn[6][2] = (fgCurrentF3->Eval(x2,y2,z2+dz) - pf[2]) / (dz + dz); pn[7][2] = (fgCurrentF3->Eval(x1,y2,z2+dz) - pf[3]) / (dz + dz); } fsurf = 0.; MarchingCube(fsurf, p, pf, pn, nnod, ntria, xyz, grad, itria); if (ntria == 0) goto L510; for ( i=1 ; i<=nnod ; i++ ) { view->WCtoNDC(&xyz[i-1][0], &xyzn[i-1][0]); Luminosity(&grad[i-1][0], w); grad[i-1][0] = w; } ZDepth(xyzn, ntria, itria, dtria, abcd, (Int_t*)iorder); if (ntria == 0) goto L510; incr = 1; if (*chopt == 'B' || *chopt == 'b') incr =-1; i1 = 1; if (incr == -1) i1 = ntria; i2 = ntria - i1 + 1; // If clipping box is on do not draw the triangles if (fgF3Clipping) { if(x2<=fgF3XClip && y2 <=fgF3YClip && z2>=fgF3ZClip) goto L510; } // Draw triangles for (i=i1; incr < 0 ? i >= i2 : i <= i2; i += incr) { k = iorder[i-1]; t[0] = grad[TMath::Abs(itria[k-1][0])-1][0]; t[1] = grad[TMath::Abs(itria[k-1][1])-1][0]; t[2] = grad[TMath::Abs(itria[k-1][2])-1][0]; (this->*fDrawFace)(icodes, (Double_t*)xyz, 3, &itria[k-1][0], t); } L510: continue; } } } } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCube(Double_t fiso, Double_t p[8][3], Double_t f[8], Double_t g[8][3], Int_t &nnod, Int_t &ntria, Double_t xyz[][3], Double_t grad[][3], Int_t itria[][3]) { // Topological decider for "Marching Cubes" algorithm Find set of triangles // aproximating the isosurface F(x,y,z)=Fiso inside the cube // (improved version) // // Input: FISO - function value for isosurface // P(3,8) - cube vertexes // F(8) - function values at the vertexes // G(3,8) - function gradients at the vertexes // // Output: NNOD - number of nodes (maximum 13) // NTRIA - number of triangles (maximum 12) // XYZ(3,*) - nodes // GRAD(3,*) - node normales (not normalized) // ITRIA(3,*) - triangles // static Int_t irota[24][8] = { { 1,2,3,4,5,6,7,8 }, { 2,3,4,1,6,7,8,5 }, { 3,4,1,2,7,8,5,6 }, { 4,1,2,3,8,5,6,7 }, { 6,5,8,7,2,1,4,3 }, { 5,8,7,6,1,4,3,2 }, { 8,7,6,5,4,3,2,1 }, { 7,6,5,8,3,2,1,4 }, { 2,6,7,3,1,5,8,4 }, { 6,7,3,2,5,8,4,1 }, { 7,3,2,6,8,4,1,5 }, { 3,2,6,7,4,1,5,8 }, { 5,1,4,8,6,2,3,7 }, { 1,4,8,5,2,3,7,6 }, { 4,8,5,1,3,7,6,2 }, { 8,5,1,4,7,6,2,3 }, { 5,6,2,1,8,7,3,4 }, { 6,2,1,5,7,3,4,8 }, { 2,1,5,6,3,4,8,7 }, { 1,5,6,2,4,8,7,3 }, { 4,3,7,8,1,2,6,5 }, { 3,7,8,4,2,6,5,1 }, { 7,8,4,3,6,5,1,2 }, { 8,4,3,7,5,1,2,6 } }; static Int_t iwhat[21] = { 1,3,5,65,50,67,74,51,177,105,113,58,165,178, 254,252,250,190,205,188,181 }; Int_t j, i, i1, i2, i3, ir, irt=0, k, k1, k2, incr, icase=0, n; Int_t itr[3]; nnod = 0; ntria = 0; // F I N D C O N F I G U R A T I O N T Y P E for ( i=1; i<=8 ; i++) { fF8[i-1] = f[i-1] - fiso; } for ( ir=1 ; ir<=24 ; ir++ ) { k = 0; incr = 1; for ( i=1 ; i<=8 ; i++ ) { if (fF8[irota[ir-1][i-1]-1] >= 0.) k = k + incr; incr = incr + incr; } if (k==0 || k==255) return; for ( i=1 ; i<=21 ; i++ ) { if (k != iwhat[i-1]) continue; icase = i; irt = ir; goto L200; } } // R O T A T E C U B E L200: for ( i=1 ; i<=8 ; i++ ) { k = irota[irt-1][i-1]; fF8[i-1] = f[k-1] - fiso; fP8[i-1][0] = p[k-1][0]; fP8[i-1][1] = p[k-1][1]; fP8[i-1][2] = p[k-1][2]; fG8[i-1][0] = g[k-1][0]; fG8[i-1][1] = g[k-1][1]; fG8[i-1][2] = g[k-1][2]; } // V A R I O U S C O N F I G U R A T I O N S n = 0; switch ((int)icase) { case 1: case 15: MarchingCubeCase00(1, 4, 9, 0, 0, 0, nnod, ntria, xyz, grad, itria); goto L400; case 2: case 16: MarchingCubeCase00(2, 4, 9, 10, 0, 0, nnod, ntria, xyz, grad, itria); goto L400; case 3: case 17: MarchingCubeCase03(nnod, ntria, xyz, grad, itria); goto L400; case 4: case 18: MarchingCubeCase04(nnod, ntria, xyz, grad, itria); goto L400; case 5: case 19: MarchingCubeCase00(6, 2, 1, 9, 8, 0, nnod, ntria, xyz, grad, itria); goto L400; case 6: case 20: MarchingCubeCase06(nnod, ntria, xyz, grad, itria); goto L400; case 7: case 21: MarchingCubeCase07(nnod, ntria, xyz, grad, itria); goto L400; case 8: MarchingCubeCase00(2, 4, 8, 6, 0, 0, nnod, ntria, xyz, grad, itria); goto L500; case 9: MarchingCubeCase00(1, 4, 12, 7, 6, 10, nnod, ntria, xyz, grad, itria); goto L500; case 0: MarchingCubeCase10(nnod, ntria, xyz, grad, itria); goto L500; case 11: MarchingCubeCase00(1, 4, 8, 7, 11, 10, nnod, ntria, xyz, grad, itria); goto L500; case 12: MarchingCubeCase12(nnod, ntria, xyz, grad, itria); goto L500; case 13: MarchingCubeCase13(nnod, ntria, xyz, grad, itria); goto L500; case 14: MarchingCubeCase00(1, 9, 12, 7, 6, 2, nnod, ntria, xyz, grad, itria); goto L500; } // I F N E E D E D , I N V E R T T R I A N G L E S L400: if (ntria == 0) return; if (icase <= 14) goto L500; for ( i=1; i<=ntria ; i++ ) { i1 = TMath::Abs(itria[i-1][0]); i2 = TMath::Abs(itria[i-1][1]); i3 = TMath::Abs(itria[i-1][2]); if (itria[i-1][2] < 0) i1 =-i1; if (itria[i-1][1] < 0) i3 =-i3; if (itria[i-1][0] < 0) i2 =-i2; itria[i-1][0] = i1; itria[i-1][1] = i3; itria[i-1][2] = i2; } // R E M O V E V E R Y S M A L L T R I A N G L E S L500: n = n + 1; L510: if (n > ntria) return; for ( i=1 ; i<=3 ; i++ ) { i1 = i; i2 = i + 1; if (i == 3) i2 = 1; k1 = TMath::Abs(itria[n-1][i1-1]); k2 = TMath::Abs(itria[n-1][i2-1]); if (TMath::Abs(xyz[k1-1][0]-xyz[k2-1][0]) > kDel) continue; if (TMath::Abs(xyz[k1-1][1]-xyz[k2-1][1]) > kDel) continue; if (TMath::Abs(xyz[k1-1][2]-xyz[k2-1][2]) > kDel) continue; i3 = i - 1; if (i == 1) i3 = 3; goto L530; } goto L500; // R E M O V E T R I A N G L E L530: for ( i=1 ; i<=3 ; i++ ) { itr[i-1] = itria[n-1][i-1]; itria[n-1][i-1] = itria[ntria-1][i-1]; } ntria = ntria - 1; if (ntria == 0) return; if (itr[i2-1]*itr[i3-1] > 0) goto L510; // C O R R E C T O T H E R T R I A N G L E S if (itr[i2-1] < 0) { k1 =-itr[i2-1]; k2 =-TMath::Abs(itr[i3-1]); } if (itr[i3-1] < 0) { k1 =-itr[i3-1]; k2 =-TMath::Abs(itr[i1-1]); } for ( j=1 ; j<=ntria ; j++ ) { for ( i=1 ; i<=3 ; i++ ) { if (itria[j-1][i-1] != k2) continue; i2 = TMath::Abs(itria[j-1][0]); if (i != 3) i2 = TMath::Abs(itria[j-1][i]); if (i2 == k1) itria[j-1][i-1] =-itria[j-1][i-1]; goto L560; } L560: continue; } goto L510; } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeCase00(Int_t k1, Int_t k2, Int_t k3, Int_t k4, Int_t k5, Int_t k6, Int_t &nnod, Int_t &ntria, Double_t xyz[52][3], Double_t grad[52][3], Int_t itria[48][3]) { // Consideration of trivial cases: 1,2,5,8,9,11,14 // // Input: K1,...,K6 - edges intersected with isosurface // // Output: the same as for IHMCUB static Int_t it[4][4][3] = { { { 1,2, 3 }, { 0,0, 0 }, { 0,0, 0 }, { 0,0, 0 } }, { { 1,2,-3 }, {-1,3, 4 }, { 0,0, 0 }, { 0,0, 0 } }, { { 1,2,-3 }, {-1,3,-4 }, {-1,4, 5 }, { 0,0, 0 } }, { { 1,2,-3 }, {-1,3,-4 }, {-4,6,-1 }, { 4,5,-6 } } }; Int_t it2[4][3], i, j; Int_t ie[6]; // S E T N O D E S & N O R M A L E S ie[0] = k1; ie[1] = k2; ie[2] = k3; ie[3] = k4; ie[4] = k5; ie[5] = k6; nnod = 6; if (ie[5] == 0) nnod = 5; if (ie[4] == 0) nnod = 4; if (ie[3] == 0) nnod = 3; MarchingCubeFindNodes(nnod, ie, xyz, grad); // S E T T R I A N G L E S ntria = nnod - 2; // Copy "it" into a 2D matrix to be passed to MarchingCubeSetTriangles for ( i=0; i<3 ; i++) { for ( j=0; j<4 ; j++) { it2[j][i] = it[ntria-1][j][i]; } } MarchingCubeSetTriangles(ntria, it2, itria); } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeCase03(Int_t &nnod, Int_t &ntria, Double_t xyz[52][3], Double_t grad[52][3], Int_t itria[48][3]) { // Consider case No 3 // // Input: see common HCMCUB // // Output: the same as for IHMCUB Double_t f0; static Int_t ie[6] = { 4,9,1, 2,11,3 }; static Int_t it1[2][3] = { { 1,2,3 }, { 4,5,6 } }; static Int_t it2[4][3] = { { 1,2,-5 }, { -1,5,6 }, { 5,-2,4 }, { -4,2,3 } }; // S E T N O D E S & N O R M A L E S nnod = 6; MarchingCubeFindNodes(nnod, ie, xyz, grad); // F I N D C O N F I G U R A T I O N f0 = (fF8[0]*fF8[2]-fF8[1]*fF8[3]) / (fF8[0]+fF8[2]-fF8[1]-fF8[3]); if (f0>=0. && fF8[0]>=0.) goto L100; if (f0<0. && fF8[0]<0.) goto L100; ntria = 2; MarchingCubeSetTriangles(ntria, it1, itria); return; // N O T S E P A R A T E D F R O N T F A C E L100: ntria = 4; MarchingCubeSetTriangles(ntria, it2, itria); } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeCase04(Int_t &nnod, Int_t &ntria, Double_t xyz[52][3], Double_t grad[52][3], Int_t itria[48][3]) { // Consider case No 4 // // Input: see common HCMCUB // // Output: the same as for IHMCUB Int_t irep; static Int_t ie[6] = { 4,9,1, 7,11,6 }; static Int_t it1[2][3] = { { 1,2,3 }, { 4,5,6 } }; static Int_t it2[6][3] = { { 1,2,4 }, { 2,3,6 }, { 3,1,5 }, { 4,5,1 }, { 5,6,3 }, { 6,4,2 } }; // S E T N O D E S & N O R M A L E S nnod = 6; MarchingCubeFindNodes(nnod, ie, xyz, grad); // I S T H E R E S U R F A C E P E N E T R A T I O N ? MarchingCubeSurfacePenetration(fF8[0], fF8[1], fF8[2], fF8[3], fF8[4], fF8[5], fF8[6], fF8[7], irep); if (irep == 0) { ntria = 2; MarchingCubeSetTriangles(ntria, it1, itria); } else { ntria = 6; MarchingCubeSetTriangles(ntria, it2, itria); } } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeCase06(Int_t &nnod, Int_t &ntria, Double_t xyz[52][3], Double_t grad[52][3], Int_t itria[48][3]) { // Consider case No 6 // // Input: see common HCMCUB // // Output: the same as for IHMCUB Double_t f0; Int_t irep; static Int_t ie[7] = { 2,4,9,10, 6,7,11 }; static Int_t it1[5][3] = { { 6,7,-1 }, { -6,1,2 }, { 6,2,3 }, { 6,3,-4 }, { -6,4,5 } }; static Int_t it2[3][3] = { { 1,2,-3 }, { -1,3,4 }, { 5,6,7 } }; static Int_t it3[7][3] = { { 6,7,-1 }, { -6,1,2 }, { 6,2,3 }, { 6,3,-4 }, { -6,4,5 }, { 1,7,-5 }, { -1,5,4 } }; // S E T N O D E S & N O R M A L E S nnod = 7; MarchingCubeFindNodes(nnod, ie, xyz, grad); // F I N D C O N F I G U R A T I O N f0 = (fF8[1]*fF8[6]-fF8[5]*fF8[2]) / (fF8[1]+fF8[6]-fF8[5]-fF8[2]); if (f0>=0. && fF8[1]>=0.) goto L100; if (f0<0. && fF8[1]<0.) goto L100; // I S T H E R E S U R F A C E P E N E T R A T I O N ? MarchingCubeSurfacePenetration(fF8[2], fF8[1], fF8[5], fF8[6], fF8[3], fF8[0], fF8[4], fF8[7], irep); if (irep == 1) { ntria = 7; MarchingCubeSetTriangles(ntria, it3, itria); } else { ntria = 3; MarchingCubeSetTriangles(ntria, it2, itria); } return; // N O T S E P A R A T E D R I G H T F A C E L100: ntria = 5; MarchingCubeSetTriangles(ntria, it1, itria); } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeCase07(Int_t &nnod, Int_t &ntria, Double_t xyz[52][3], Double_t grad[52][3], Int_t itria[48][3]) { // Consider case No 7 // // Input: see common HCMCUB // // Output: the same as for IHMCUB Double_t f1, f2, f3; Int_t icase, irep; static Int_t ie[9] = { 3,12,4, 1,10,2, 11,6,7 }; static Int_t it[9][9][3] = { {{ 1,2,3}, { 4,5,6}, { 7,8,9}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}}, {{ 1,2,3}, { 4,9,-7}, { -4,7,6}, { 9,4,-5}, { -9,5,8}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}}, {{ 4,5,6}, { 8,3,-1}, { -8,1,7}, { 3,8,-9}, { -3,9,2}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}}, {{-10,2,3}, {10,3,-1}, {-10,1,7}, {10,7,-6}, {-10,6,4}, {10,4,-5}, {-10,5,8}, { 10,8,9}, {10,9,-2}}, {{ 7,8,9}, { 2,5,-6}, { -2,6,1}, { 5,2,-3}, { -5,3,4}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}}, {{-10,1,2}, {10,2,-3}, {-10,3,4}, { 10,4,5}, {10,5,-8}, {-10,8,9}, {10,9,-7}, {-10,7,6}, {10,6,-1}}, {{ 10,2,3}, {10,3,-4}, {-10,4,5}, {10,5,-6}, {-10,6,1}, {10,1,-7}, {-10,7,8}, {10,8,-9}, {-10,9,2}}, {{ 1,7,6}, { -4,2,3}, {-4,9,-2}, {-9,4,-5}, { -9,5,8}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}}, {{ -1,9,2}, { 1,2,3}, { 1,3,-4}, { 6,-1,4}, { 6,4,5}, { 6,-5,7}, { -7,5,8}, { 7,8,9}, { 7,-9,1}} }; Int_t it2[9][3], i, j; // S E T N O D E S & N O R M A L E S nnod = 9; MarchingCubeFindNodes(nnod, ie, xyz, grad); // F I N D C O N F I G U R A T I O N f1 = (fF8[2]*fF8[5]-fF8[1]*fF8[6]) / (fF8[2]+fF8[5]-fF8[1]-fF8[6]); f2 = (fF8[2]*fF8[7]-fF8[3]*fF8[6]) / (fF8[2]+fF8[7]-fF8[3]-fF8[6]); f3 = (fF8[2]*fF8[0]-fF8[1]*fF8[3]) / (fF8[2]+fF8[0]-fF8[1]-fF8[3]); icase = 1; if (f1>=0. && fF8[2] <0.) icase = icase + 1; if (f1 <0. && fF8[2]>=0.) icase = icase + 1; if (f2>=0. && fF8[2] <0.) icase = icase + 2; if (f2 <0. && fF8[2]>=0.) icase = icase + 2; if (f3>=0. && fF8[2] <0.) icase = icase + 4; if (f3 <0. && fF8[2]>=0.) icase = icase + 4; ntria = 5; switch ((int)icase) { case 1: goto L100; case 2: goto L400; case 3: goto L400; case 4: goto L200; case 5: goto L400; case 6: goto L200; case 7: goto L200; case 8: goto L300; } L100: ntria = 3; goto L400; // F I N D A D D I T I O N A L P O I N T L200: nnod = 10; ntria = 9; // Copy "it" into a 2D matrix to be passed to MarchingCubeMiddlePoint for ( i=0; i<3 ; i++) { for ( j=0; j<9 ; j++) { it2[j][i] = it[icase-1][j][i]; } } MarchingCubeMiddlePoint(9, xyz, grad, it2, &xyz[nnod-1][0], &grad[nnod-1][0]); goto L400; // I S T H E R E S U R F A C E P E N E T R A T I O N ? L300: MarchingCubeSurfacePenetration(fF8[3], fF8[2], fF8[6], fF8[7], fF8[0], fF8[1], fF8[5], fF8[4], irep); if (irep != 2) goto L400; /// IHMCTT(NTRIA,IT8,ITRIA) ntria = 9; icase = 9; // S E T T R I A N G L E S L400: // Copy "it" into a 2D matrix to be passed to MarchingCubeSetTriangles for ( i=0; i<3 ; i++) { for ( j=0; j<9 ; j++) { it2[j][i] = it[icase-1][j][i]; } } MarchingCubeSetTriangles(ntria, it2, itria); } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeCase10(Int_t &nnod, Int_t &ntria, Double_t xyz[52][3], Double_t grad[52][3], Int_t itria[48][3]) { // Consider case No 10 // // Input: see common HCMCUB // // Output: the same as for IHMCUB Double_t f1, f2; Int_t icase, irep; static Int_t ie[8] = { 1,3,12,9, 5,7,11,10 }; static Int_t it[6][8][3] = { {{1,2,-3}, {-1,3,4}, {5,6,-7}, {-5,7,8}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}}, {{ 9,1,2}, { 9,2,3}, { 9,3,4}, { 9,4,5}, { 9,5,6}, { 9,6,7}, { 9,7,8}, { 9,8,1}}, {{ 9,1,2}, { 9,4,1}, { 9,3,4}, { 9,6,3}, { 9,5,6}, { 9,8,5}, { 9,7,8}, { 9,2,7}}, {{1,2,-7}, {-1,7,8}, {5,6,-3}, {-5,3,4}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}}, {{1,2,-7}, {-1,7,8}, {2,3,-6}, {-2,6,7}, {3,4,-5}, {-3,5,6}, {4,1,-8}, {-4,8,5}}, {{1,2,-3}, {-1,3,4}, {2,7,-6}, {-2,6,3}, {7,8,-5}, {-7,5,6}, {8,1,-4}, {-8,4,5}} }; Int_t it2[8][3], i, j; // S E T N O D E S & N O R M A L E S nnod = 8; MarchingCubeFindNodes(nnod, ie, xyz, grad); // F I N D C O N F I G U R A T I O N f1 = (fF8[0]*fF8[5]-fF8[1]*fF8[4]) / (fF8[0]+fF8[5]-fF8[1]-fF8[4]); f2 = (fF8[3]*fF8[6]-fF8[2]*fF8[7]) / (fF8[3]+fF8[6]-fF8[2]-fF8[5]); icase = 1; if (f1 >= 0.) icase = icase + 1; if (f2 >= 0.) icase = icase + 2; if (icase==1 || icase==4) goto L100; // D I F F E R E N T T O P A N D B O T T O M nnod = 9; ntria = 8; // Copy "it" into a 2D matrix to be passed to MarchingCubeMiddlePoint for ( i=0; i<3 ; i++) { for ( j=0; j<8 ; j++) { it2[j][i] = it[icase-1][j][i]; } } MarchingCubeMiddlePoint(8, xyz, grad, it2, &xyz[nnod-1][0], &grad[nnod-1][0]); goto L200; // I S T H E R E S U R F A C E P E N E T R A T I O N ? L100: MarchingCubeSurfacePenetration(fF8[0], fF8[1], fF8[5], fF8[4], fF8[3], fF8[2], fF8[6], fF8[7], irep); ntria = 4; if (irep == 0) goto L200; // "B O T T L E N E C K" ntria = 8; if (icase == 1) icase = 5; if (icase == 4) icase = 6; // S E T T R I A N G L E S L200: // Copy "it" into a 2D matrix to be passed to MarchingCubeSetTriangles for ( i=0; i<3 ; i++) { for ( j=0; j<8 ; j++) { it2[j][i] = it[icase-1][j][i]; } } MarchingCubeSetTriangles(ntria, it2, itria); } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeCase12(Int_t &nnod, Int_t &ntria, Double_t xyz[52][3], Double_t grad[52][3], Int_t itria[48][3]) { // Consider case No 12 // // Input: see common HCMCUB // // Output: the same as for IHMCUB Double_t f1, f2; Int_t icase, irep; static Int_t ie[8] = { 3,12,4, 1,9,8,6,2 }; static Int_t it[6][8][3] = { {{ 1,2,3}, {4,5,-6}, {-4,6,8}, { 6,7,8}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}}, {{-9,1,2}, {9,2,-3}, {-9,3,4}, {9,4,-5}, {-9,5,6}, {9,6,-7}, {-9,7,8}, {9,8,-1}}, {{9,1,-2}, {-9,2,6}, {9,6,-7}, {-9,7,8}, {9,8,-4}, {-9,4,5}, {9,5,-3}, {-9,3,1}}, {{ 3,4,5}, {1,2,-6}, {-1,6,8}, { 6,7,8}, { 0,0,0}, { 0,0,0}, { 0,0,0}, { 0,0,0}}, {{ 7,8,6}, {6,8,-1}, {-6,1,2}, {3,1,-8}, {-3,8,4}, { 3,4,5}, {3,5,-6}, {-3,6,2}}, {{ 7,8,6}, {6,8,-4}, {-6,4,5}, {3,4,-8}, {-3,8,1}, { 3,1,2}, {3,2,-6}, {-3,6,5}} }; Int_t it2[8][3], i, j; // S E T N O D E S & N O R M A L E S nnod = 8; MarchingCubeFindNodes(nnod, ie, xyz, grad); // F I N D C O N F I G U R A T I O N f1 = (fF8[0]*fF8[2]-fF8[1]*fF8[3]) / (fF8[0]+fF8[2]-fF8[1]-fF8[3]); f2 = (fF8[0]*fF8[7]-fF8[3]*fF8[4]) / (fF8[0]+fF8[7]-fF8[3]-fF8[4]); icase = 1; if (f1 >= 0.) icase = icase + 1; if (f2 >= 0.) icase = icase + 2; if (icase==1 || icase==4) goto L100; // F I N D A D D I T I O N A L P O I N T nnod = 9; ntria = 8; // Copy "it" into a 2D matrix to be passed to MarchingCubeMiddlePoint for ( i=0; i<3 ; i++) { for ( j=0; j<8 ; j++) { it2[j][i] = it[icase-1][j][i]; } } MarchingCubeMiddlePoint(8, xyz, grad, it2, &xyz[nnod-1][0], &grad[nnod-1][0]); goto L200; // I S T H E R E S U R F A C E P E N E T R A T I O N ? L100: MarchingCubeSurfacePenetration(fF8[0], fF8[1], fF8[2], fF8[3], fF8[4], fF8[5], fF8[6], fF8[7], irep); ntria = 4; if (irep != 1) goto L200; // "B O T T L E N E C K" ntria = 8; if (icase == 1) icase = 5; if (icase == 4) icase = 6; // S E T T R I A N G L E S L200: // Copy "it" into a 2D matrix to be passed to MarchingCubeSetTriangles for ( i=0; i<3 ; i++) { for ( j=0; j<8 ; j++) { it2[j][i] = it[icase-1][j][i]; } } MarchingCubeSetTriangles(ntria, it2, itria); } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeCase13(Int_t &nnod, Int_t &ntria, Double_t xyz[52][3], Double_t grad[52][3], Int_t itria[48][3]) { // Consider case No 13 // // Input: see common HCMCUB // // Output: the same as for IHMCUB Double_t ff[8]; Double_t f1, f2, f3, f4; Int_t nr, nf, i, k, incr, n, kr, icase, irep; static Int_t irota[12][8] = { {1,2,3,4,5,6,7,8}, {1,5,6,2,4,8,7,3}, {1,4,8,5,2,3,7,6}, {3,7,8,4,2,6,5,1}, {3,2,6,7,4,1,5,8}, {3,4,1,2,7,8,5,6}, {6,7,3,2,5,8,4,1}, {6,5,8,7,2,1,4,3}, {6,2,1,5,7,3,4,8}, {8,4,3,7,5,1,2,6}, {8,5,1,4,7,6,2,3}, {8,7,6,5,4,3,2,1} }; static Int_t iwhat[8] = { 63,62,54,26,50,9,1,0 }; static Int_t ie[12] = { 1,2,3,4,5,6,7,8,9,10,11,12 }; static Int_t iface[6][4] = { {1,2,3,4}, {5,6,7,8}, {1,2,6,5}, {2,6,7,3}, {4,3,7,8}, {1,5,8,4} }; static Int_t it1[4][3] = { {1,2,10}, {9,5,8}, {6,11,7}, {3,4,12} }; static Int_t it2[4][3] = { {5,6,10}, {1,4,9}, {2,11,3}, {7,8,12} }; static Int_t it3[6][3] = { {10,12,-3}, {-10,3,2}, {12,10,-1}, {-12,1,4}, {9,5,8}, {6,11,7} }; static Int_t it4[6][3] = { {11,9,-1}, {-11,1,2}, {9,11,-3}, {-9,3,4}, {5,6,10}, {7,8,12} }; static Int_t it5[10][3] = { {13,2,-11}, {-13,11,7}, {13,7,-6}, {-13,6,10}, {13,10,1}, {13,1,-4}, {-13,4,12}, {13,12,-3}, {-13,3,2}, {5,8,9} }; static Int_t it6[10][3] = { {13,2,-10}, {-13,10,5}, {13,5,-6}, {-13,6,11}, {13,11,3}, {13,3,-4}, {-13,4,9}, {13,9,-1}, {-13,1,2}, {12,7,8} }; static Int_t it7[12][3] = { {13,2,-11}, {-13,11,7}, {13,7,-6}, {-13,6,10}, {13,10,-5}, {-13,5,8}, {13,8,-9}, {-13,9,1}, {13,1,-4}, {-13,4,12}, {13,12,-3}, {-13,3,2} }; static Int_t it8[6][3] = { {3,8,12}, {3,-2,-8}, {-2,5,-8}, {2,10,-5}, {7,6,11}, {1,4,9} }; static Int_t it9[10][3] = { {7,12,-3}, {-7,3,11}, {11,3,2}, {6,11,-2}, {-6,2,10}, {6,10,5}, {7,6,-5}, {-7,5,8}, {7,8,12}, {1,4,9} }; static Int_t it10[10][3] = { {9,1,-10}, {-9,10,5}, {9,5,8}, {4,9,-8}, {-4,8,12}, {4,12,3}, {1,4,-3}, {-1,3,2}, {1,2,10}, {7,6,11} }; nnod = 0; ntria = 0; // F I N D C O N F I G U R A T I O N T Y P E for ( nr=1 ; nr<=12 ; nr++ ) { k = 0; incr = 1; for ( nf=1 ; nf<=6 ; nf++ ) { f1 = fF8[irota[nr-1][iface[nf-1][0]-1]-1]; f2 = fF8[irota[nr-1][iface[nf-1][1]-1]-1]; f3 = fF8[irota[nr-1][iface[nf-1][2]-1]-1]; f4 = fF8[irota[nr-1][iface[nf-1][3]-1]-1]; if ((f1*f3-f2*f4)/(f1+f3-f2-f4) >= 0.) k = k + incr; incr = incr + incr; } for ( i=1 ; i<=8 ; i++ ) { if (k != iwhat[i-1]) continue; icase = i; kr = nr; goto L200; } } Error("MarchingCubeCase13", "configuration is not found"); return; // R O T A T E C U B E L200: if (icase==1 || icase==8) goto L300; for ( n=1 ; n<=8 ; n++) { k = irota[kr-1][n-1]; ff[n-1] = fF8[k-1]; for ( i=1 ; i<=3 ; i++ ) { xyz[n-1][i-1] = fP8[k-1][i-1]; grad[n-1][i-1] = fG8[k-1][i-1]; } } for ( n=1 ; n<=8 ; n++ ) { fF8[n-1] = ff[n-1]; for ( i=1 ; i<=3 ; i++ ) { fP8[n-1][i-1] = xyz[n-1][i-1]; fG8[n-1][i-1] = grad[n-1][i-1]; } } // S E T N O D E S & N O R M A L E S L300: nnod = 12; MarchingCubeFindNodes(nnod, ie, xyz, grad); // V A R I O U S C O N F I G U R A T I O N S switch ((int)icase) { case 1: ntria = 4; MarchingCubeSetTriangles(ntria, it1, itria); return; case 8: ntria = 4; MarchingCubeSetTriangles(ntria, it2, itria); return; case 2: ntria = 6; MarchingCubeSetTriangles(ntria, it3, itria); return; case 7: ntria = 6; MarchingCubeSetTriangles(ntria, it4, itria); return; case 3: nnod = 13; ntria = 10; MarchingCubeMiddlePoint(9, xyz, grad, it5, &xyz[nnod-1][0], &grad[nnod-1][0]); MarchingCubeSetTriangles(ntria, it5, itria); return; case 6: nnod = 13; ntria = 10; MarchingCubeMiddlePoint(9, xyz, grad, it6, &xyz[nnod-1][0], &grad[nnod-1][0]); MarchingCubeSetTriangles(ntria, it6, itria); return; case 5: nnod = 13; ntria = 12; MarchingCubeMiddlePoint(12, xyz, grad, it7, &xyz[nnod-1][0], &grad[nnod-1][0]); MarchingCubeSetTriangles(ntria, it7, itria); return; // I S T H E R E S U R F A C E P E N E T R A T I O N ? case 4: MarchingCubeSurfacePenetration(fF8[2], fF8[3], fF8[0], fF8[1], fF8[6], fF8[7], fF8[4], fF8[5], irep); switch ((int)(irep+1)) { case 1: ntria = 6; MarchingCubeSetTriangles(ntria, it8, itria); return; case 2: ntria = 10; MarchingCubeSetTriangles(ntria, it9, itria); return; case 3: ntria = 10; MarchingCubeSetTriangles(ntria, it10, itria); } } } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeSetTriangles(Int_t ntria, Int_t it[][3], Int_t itria[48][3]) { // Set triangles (if parameter IALL=1, all edges will be visible) // // Input: NTRIA - number of triangles // IT(3,*) - triangles // // Output: ITRIA(3,*) - triangles Int_t n, i, k; for ( n=1 ; n<=ntria ; n++ ) { for ( i=1 ; i<=3 ; i++ ) { k = it[n-1][i-1]; itria[n-1][i-1] = k; } } } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeMiddlePoint(Int_t nnod, Double_t xyz[52][3], Double_t grad[52][3], Int_t it[][3], Double_t *pxyz, Double_t *pgrad) { // Find middle point of a polygon // // Input: NNOD - number of nodes in the polygon // XYZ(3,*) - node coordinates // GRAD(3,*) - node normales // IT(3,*) - division of the polygons into triangles // // Output: PXYZ(3) - middle point coordinates // PGRAD(3) - middle point normale Double_t p[3], g[3]; Int_t i, n, k; for ( i=1 ; i<=3 ; i++ ) { p[i-1] = 0.; g[i-1] = 0.; } for ( n=1 ; n<=nnod ; n++ ) { k = it[n-1][2]; if (k < 0) k =-k; for ( i=1 ; i<=3 ; i++ ) { p[i-1] = p[i-1] + xyz[k-1][i-1]; g[i-1] = g[i-1] + grad[k-1][i-1]; } } for ( i=1 ; i<=3 ; i++ ) { pxyz[i-1] = p[i-1] / nnod; pgrad[i-1] = g[i-1] / nnod; } } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeSurfacePenetration(Double_t a00, Double_t a10, Double_t a11, Double_t a01, Double_t b00, Double_t b10, Double_t b11, Double_t b01, Int_t &irep) { // Check for surface penetration ("bottle neck") // // Input: A00,A10,A11,A01 - vertex values for 1st face // B00,B10,B11,B01 - vertex values for opposite face // // Output: IREP - 1,2 - there is surface penetration // 0 - there is not surface penetration Double_t a, b, c, d, s0, s1, s2; Int_t iposa, iposb; irep = 0; a = (a11-a01)*(b00-b10) - (a00-a10)*(b11-b01); if (a == 0.) return; b = a01*(b00-b10)-(a11-a01)*b00-(a00-a10)*b01+a00*(b11-b01); c = a00*b01 - a01*b00; d = b*b-4*a*c; if (d <= 0.) return; d = TMath::Sqrt(d); if (TMath::Abs(-b+d) > TMath::Abs(2*a)) return; s1 = (-b+d) / (2*a); if (s1<0. || s1>1.) return; if (TMath::Abs(-b-d) > TMath::Abs(2*a)) return; s2 = (-b-d) / (2*a); if (s2<0. || s2>1.) return; // C A S E N O 4 ? iposa = 0; if (a00 >= 0) iposa = iposa + 1; if (a01 >= 0) iposa = iposa + 2; if (a10 >= 0) iposa = iposa + 4; if (a11 >= 0) iposa = iposa + 8; if (iposa==6 || iposa==9) goto L100; irep = 1; return; // N O T C A S E N O 4 L100: s0 = (a00-a01) / (a00+a11-a10-a01); if (s1>=s0 && s2<s0) return; if (s1<s0 && s2>=s0) return; irep = 1; if (s1 >= s0) irep = 2; // C A S E S N O 10, 13 ? iposb = 0; if (b00 >= 0) iposb = iposb + 1; if (b01 >= 0) iposb = iposb + 2; if (b10 >= 0) iposb = iposb + 4; if (b11 >= 0) iposb = iposb + 8; if (iposb!=6 && iposb!=9) return; s0 = (b00-b01) / (b00+b11-b10-b01); if (iposa != iposb) goto L200; // C A S E N O 10 if (irep==1 && s1>s0) return; if (irep==2 && s1<s0) return; irep = 0; return; // C A S E N O 13 L200: if (irep==1 && s1<s0) return; if (irep==2 && s1>s0) return; irep = 0; } //______________________________________________________________________________ void TPainter3dAlgorithms::MarchingCubeFindNodes(Int_t nnod, Int_t *ie, Double_t xyz[52][3], Double_t grad[52][3]) { // Find nodes and normales // // Input: NNOD - number of nodes // IE(*) - edges which have section node // // Output: XYZ(3,*) - nodes // GRAD(3,*) - node normales (not normalized) Int_t n, k, i, n1, n2; Double_t t; static Int_t iedge[12][2] = { {1,2}, {2,3}, {3,4}, {4,1}, {5,6}, {6,7}, {7,8}, {8,5}, {1,5}, {2,6}, {3,7}, {4,8} }; for ( n=1 ; n<=nnod ; n++ ) { k = ie[n-1]; if (k < 0) k =-k; n1 = iedge[k-1][0]; n2 = iedge[k-1][1]; t = fF8[n1-1] / (fF8[n1-1]-fF8[n2-1]); for ( i=1 ; i<=3 ; i++ ) { xyz[n-1][i-1] = (fP8[n2-1][i-1]-fP8[n1-1][i-1])*t + fP8[n1-1][i-1]; grad[n-1][i-1] = (fG8[n2-1][i-1]-fG8[n1-1][i-1])*t + fG8[n1-1][i-1]; } } } //______________________________________________________________________________ void TPainter3dAlgorithms::ZDepth(Double_t xyz[52][3], Int_t &nface, Int_t iface[48][3], Double_t dface[48][6], Double_t abcd[48][4], Int_t *iorder) { // Z-depth algorithm for set of triangles // // Input: XYZ(3,*) - nodes // NFACE - number of triangular faces // IFACE(3,*) - faces (triangles) // // Arrays: DFACE(6,*) - array for min-max scopes // ABCD(4,*) - array for face plane equations // // Output: IORDER(*) - face order Int_t n, nf, i1, i2, i3, i, icur, k, itst, kface, kf, irep; Int_t nn[3], kk[3]; Double_t wmin, wmax, a, b, c, q, zcur; Double_t v[2][3], abcdn[4], abcdk[4]; // S E T I N I T I A L O R D E R // I G N O R E V E R Y S M A L L F A C E S // S E T M I N - M A X S C O P E S // S E T F A C E P L A N E E Q U A T I O N S nf = 0; for ( n=1 ; n<=nface ; n++ ) { i1 = TMath::Abs(iface[n-1][0]); i2 = TMath::Abs(iface[n-1][1]); i3 = TMath::Abs(iface[n-1][2]); // A R E A T E S T if (TMath::Abs(xyz[i2-1][0]-xyz[i1-1][0])<=kDel && TMath::Abs(xyz[i2-1][1]-xyz[i1-1][1])<=kDel && TMath::Abs(xyz[i2-1][2]-xyz[i1-1][2])<=kDel) continue; if (TMath::Abs(xyz[i3-1][0]-xyz[i2-1][0])<=kDel && TMath::Abs(xyz[i3-1][1]-xyz[i2-1][1])<=kDel && TMath::Abs(xyz[i3-1][2]-xyz[i2-1][2])<=kDel) continue; if (TMath::Abs(xyz[i1-1][0]-xyz[i3-1][0])<=kDel && TMath::Abs(xyz[i1-1][1]-xyz[i3-1][1])<=kDel && TMath::Abs(xyz[i1-1][2]-xyz[i3-1][2])<=kDel) continue; // P R O J E C T I O N T E S T if (TMath::Abs(xyz[i2-1][0]-xyz[i1-1][0])<=kDel && TMath::Abs(xyz[i2-1][1]-xyz[i1-1][1])<=kDel && TMath::Abs(xyz[i3-1][0]-xyz[i2-1][0])<=kDel && TMath::Abs(xyz[i3-1][1]-xyz[i2-1][1])<=kDel && TMath::Abs(xyz[i1-1][0]-xyz[i3-1][0])<=kDel && TMath::Abs(xyz[i1-1][1]-xyz[i3-1][1])<=kDel) continue; nf = nf + 1; iorder[nf-1] = n; // F I N D M I N - M A X for ( i=1 ; i<=3 ; i++ ) { wmin = xyz[i1-1][i-1]; wmax = xyz[i1-1][i-1]; if (wmin > xyz[i2-1][i-1]) wmin = xyz[i2-1][i-1]; if (wmax < xyz[i2-1][i-1]) wmax = xyz[i2-1][i-1]; if (wmin > xyz[i3-1][i-1]) wmin = xyz[i3-1][i-1]; if (wmax < xyz[i3-1][i-1]) wmax = xyz[i3-1][i-1]; dface[n-1][i-1] = wmin; dface[n-1][i+2] = wmax; } // F I N D F A C E E Q U A T I O N for ( i=1 ; i<=3 ; i++ ) { v[0][i-1] = xyz[i2-1][i-1] - xyz[i1-1][i-1]; v[1][i-1] = xyz[i3-1][i-1] - xyz[i2-1][i-1]; } a = (v[0][1]*v[1][2] - v[0][2]*v[1][1]); b = (v[0][2]*v[1][0] - v[0][0]*v[1][2]); c = (v[0][0]*v[1][1] - v[0][1]*v[1][0]); q = TMath::Sqrt(a*a+b*b+c*c); if (c < 0.) q =-q; a = a / q; b = b / q; c = c / q; abcd[n-1][0] = a; abcd[n-1][1] = b; abcd[n-1][2] = c; abcd[n-1][3] =-(a*xyz[i1-1][0] + b*xyz[i1-1][1] + c*xyz[i1-1][2]); } nface = nf; if (nf <= 1) return; // S O R T T R I A N G L E S A L O N G Z - M I N for ( icur=2 ; icur<=nface ; icur++ ) { k = iorder[icur-1]; zcur = dface[k-1][2]; for ( itst=icur-1 ; itst>=1 ; itst-- ) { k = iorder[itst-1]; if (zcur < dface[k-1][2]) break; k = iorder[itst-1]; iorder[itst-1] = iorder[itst]; iorder[itst] = k; } } // Z - D E P T H A L G O R I T H M kface = nface; L300: if (kface == 1) goto L900; nf = iorder[kface-1]; if (nf < 0) nf =-nf; abcdn[0] = abcd[nf-1][0]; abcdn[1] = abcd[nf-1][1]; abcdn[2] = abcd[nf-1][2]; abcdn[3] = abcd[nf-1][3]; nn[0] = TMath::Abs(iface[nf-1][0]); nn[1] = TMath::Abs(iface[nf-1][1]); nn[2] = TMath::Abs(iface[nf-1][2]); // I N T E R N A L L O O P for ( k=kface-1 ; k>=1 ; k-- ) { kf = iorder[k-1]; if (kf < 0) kf =-kf; if (dface[nf-1][5] > dface[kf-1][2]+kDel) goto L400; if (iorder[k-1] > 0) goto L900; goto L800; // M I N - M A X T E S T L400: if (dface[kf-1][0] >= dface[nf-1][3]-kDel) goto L800; if (dface[kf-1][3] <= dface[nf-1][0]+kDel) goto L800; if (dface[kf-1][1] >= dface[nf-1][4]-kDel) goto L800; if (dface[kf-1][4] <= dface[nf-1][1]+kDel) goto L800; // K F B E F O R E N F ? kk[0] = TMath::Abs(iface[kf-1][0]); kk[1] = TMath::Abs(iface[kf-1][1]); kk[2] = TMath::Abs(iface[kf-1][2]); if (abcdn[0]*xyz[kk[0]-1][0]+abcdn[1]*xyz[kk[0]-1][1]+ abcdn[2]*xyz[kk[0]-1][2]+abcdn[3] < -kDel) goto L500; if (abcdn[0]*xyz[kk[1]-1][0]+abcdn[1]*xyz[kk[1]-1][1]+ abcdn[2]*xyz[kk[1]-1][2]+abcdn[3] < -kDel) goto L500; if (abcdn[0]*xyz[kk[2]-1][0]+abcdn[1]*xyz[kk[2]-1][1]+ abcdn[2]*xyz[kk[2]-1][2]+abcdn[3] < -kDel) goto L500; goto L800; // N F A F T E R K F ? L500: abcdk[0] = abcd[kf-1][0]; abcdk[1] = abcd[kf-1][1]; abcdk[2] = abcd[kf-1][2]; abcdk[3] = abcd[kf-1][3]; if (abcdk[0]*xyz[nn[0]-1][0]+abcdk[1]*xyz[nn[0]-1][1]+ abcdk[2]*xyz[nn[0]-1][2]+abcdk[3] > kDel) goto L600; if (abcdk[0]*xyz[nn[1]-1][0]+abcdk[1]*xyz[nn[1]-1][1]+ abcdk[2]*xyz[nn[1]-1][2]+abcdk[3] > kDel) goto L600; if (abcdk[0]*xyz[nn[2]-1][0]+abcdk[1]*xyz[nn[2]-1][1]+ abcdk[2]*xyz[nn[2]-1][2]+abcdk[3] > kDel) goto L600; goto L800; // E D G E B Y E D G E T E S T // K F - E D G E S A G A I N S T N F L600: for ( i=1 ; i<=3 ; i++ ) { i1 = kk[i-1]; i2 = kk[0]; if (i != 3) i2 = kk[i]; TestEdge(kDel, xyz, i1, i2, nn, abcdn, irep); if ( irep<0 ) goto L700; if ( irep==0 ) continue; if ( irep>0 ) goto L800; } // N F - E D G E S A G A I N S T K F for ( i=1 ; i<=3 ; i++ ) { i1 = nn[i-1]; i2 = nn[0]; if (i != 3) i2 = nn[i]; TestEdge(kDel, xyz, i1, i2, kk, abcdk, irep); if ( irep<0 ) goto L800; if ( irep==0 ) continue; if ( irep>0 ) goto L700; } goto L800; // C H A N G E F A C E O R D E R L700: kf = iorder[k-1]; for ( i=k+1 ; i<=kface ; i++ ) { iorder[i-2] = iorder[i-1]; } iorder[kface-1] =-kf; if (kf > 0) goto L300; goto L900; L800: continue; } // N E X T F A C E L900: if (iorder[kface-1] < 0) iorder[kface-1] =-iorder[kface-1]; kface = kface - 1; if (kface > 0) goto L300; } //______________________________________________________________________________ void TPainter3dAlgorithms::TestEdge(Double_t del, Double_t xyz[52][3], Int_t i1, Int_t i2, Int_t iface[3], Double_t abcd[4], Int_t &irep) { // Test edge against face (triangle) // // Input: DEL - precision // XYZ(3,*) - nodes // I1 - 1-st node of edge // I2 - 2-nd node of edge // IFACE(3) - triangular face // ABCD(4) - face plane // // Output: IREP:-1 - edge under face // 0 - no decision // +1 - edge before face Int_t k, k1, k2, ixy, i; Double_t a, b, c, d1, d2, dd, xy, tmin, tmax, tmid, x, y, z; Double_t d[3], delta[3], t[2]; irep = 0; // F I N D I N T E R S E C T I O N P O I N T S delta[0] = xyz[i2-1][0] - xyz[i1-1][0]; delta[1] = xyz[i2-1][1] - xyz[i1-1][1]; delta[2] = xyz[i2-1][2] - xyz[i1-1][2]; if (TMath::Abs(delta[0])<=del && TMath::Abs(delta[1])<=del) return; ixy = 1; if (TMath::Abs(delta[1]) > TMath::Abs(delta[0])) ixy = 2; a = delta[1]; b =-delta[0]; c =-(a*xyz[i1-1][0] + b*xyz[i1-1][1]); d[0] = a*xyz[iface[0]-1][0] + b*xyz[iface[0]-1][1] + c; d[1] = a*xyz[iface[1]-1][0] + b*xyz[iface[1]-1][1] + c; d[2] = a*xyz[iface[2]-1][0] + b*xyz[iface[2]-1][1] + c; k = 0; for ( i=1 ; i<=3 ; i++ ) { k1 = i; k2 = i + 1; if (i == 3) k2 = 1; if (d[k1-1]>=0. && d[k2-1]>=0.) continue; if (d[k1-1] <0. && d[k2-1] <0.) continue; d1 = d[k1-1] / (d[k1-1] - d[k2-1]); d2 = d[k2-1] / (d[k1-1] - d[k2-1]); xy = d1*xyz[iface[k2-1]-1][ixy-1] - d2*xyz[iface[k1-1]-1][ixy-1]; k = k + 1; t[k-1] = (xy-xyz[i1-1][ixy-1]) / delta[ixy-1]; if (k == 2) goto L200; } return; // C O M P A R E Z - D E P T H L200: tmin = TMath::Min(t[0],t[1]); tmax = TMath::Max(t[0],t[1]); if (tmin>1. || tmax<0) return; if (tmin < 0.) tmin = 0.; if (tmax > 1.) tmax = 1.; tmid = (tmin + tmax) / 2.; x = delta[0]*tmid + xyz[i1-1][0]; y = delta[1]*tmid + xyz[i1-1][1]; z = delta[2]*tmid + xyz[i1-1][2]; dd = abcd[0]*x + abcd[1]*y + abcd[2]*z + abcd[3]; if (dd > del) goto L997; if (dd <-del) goto L998; return; L997: irep =+1; return; L998: irep =-1; } //______________________________________________________________________________ void TPainter3dAlgorithms::IsoSurface (Int_t ns, Double_t *s, Int_t nx, Int_t ny, Int_t nz, Double_t *x, Double_t *y, Double_t *z, const char *chopt) { // Draw set of isosurfaces for a scalar function defined on a grid. // // Input: NS - number of isosurfaces // S(*) - isosurface values // NX - number of slices along X // NY - number of slices along Y // NZ - number of slices along Z // X(*) - slices along X // Y(*) - slices along Y // Z(*) - slices along Z // F(NX,NY,NZ) - function values <- Not used, current histo used instead // // DRFACE(ICODES,XYZ,NP,IFACE,T) - routine for face drawing // ICODES(1) - isosurface number // ICODES(2) - isosurface number // ICODES(3) - isosurface number // NP - number of nodes in face // IFACE(NP) - face // T(NP) - additional function (lightness) // // CHOPT - options: 'BF' - from BACK to FRONT // 'FB' - from FRONT to BACK Double_t p[8][3], pf[8], pn[8][3]; Double_t p0[3], p1[3], p2[3], p3[3], t[3]; Double_t fsurf, w, d1, d2, df1, df2; Int_t icodes[3]; Int_t i, i1, i2, j, ibase, nnod, knod, ntria, ktria, iopt, iready; Int_t ixcrit, iycrit, izcrit, incrx, incry, incrz, incr; Int_t ix, ix1=0, ix2=0, iy, iy1=0, iy2=0, iz, iz1=0, iz2=0, k, kx, ky, kz, isurf, nsurf; Double_t xyz[kNmaxp][3], xyzn[kNmaxp][3], grad[kNmaxp][3]; Double_t dtria[kNmaxt][6], abcd[kNmaxt][4]; Int_t itria[kNmaxt][3], iorder[kNmaxt], iattr[kNmaxt]; static Int_t ind[8][3] = { { 0,0,0 }, { 1,0,0 }, { 1,0,1 }, { 0,0,1 }, { 0,1,0 }, { 1,1,0 }, { 1,1,1 }, { 0,1,1 } }; for (i=0;i<kNmaxp;i++) { xyzn[i][0] = 0.; xyzn[i][1] = 0.; xyzn[i][2] = 0.; } TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("ImplicitFunction", "no TView in current pad"); return; } nsurf = ns; if (nsurf > kNiso) { Warning("IsoSurface","Number of isosurfaces too large. Increase kNiso"); } iopt = 2; if (*chopt == 'B' || *chopt == 'b') iopt = 1; // F I N D X - , Y - , Z - C R I T I C A L // This logic works for parallel projection only. // For central projection another logic should be implemented. p0[0] = x[0]; p0[1] = y[0]; p0[2] = z[0]; view->WCtoNDC(p0, p0); p1[0] = x[nx-1]; p1[1] = y[0]; p1[2] = z[0]; view->WCtoNDC(p1, p1); p2[0] = x[0]; p2[1] = y[ny-1]; p2[2] = z[0]; view->WCtoNDC(p2, p2); p3[0] = x[0]; p3[1] = y[0]; p3[2] = z[nz-1]; view->WCtoNDC(p3, p3); ixcrit = nx; iycrit = ny; izcrit = nz; if (p1[2] < p0[2]) ixcrit = 1; if (p2[2] < p0[2]) iycrit = 1; if (p3[2] < p0[2]) izcrit = 1; // L O O P A L O N G G R I D // This logic works for both (parallel & central) projections. incrx = 1; incry = 1; incrz = 1; L110: if (incrz >= 0) { if (iopt == 1) iz1 = 1; if (iopt == 1) iz2 = izcrit-1; if (iopt == 2) iz1 = izcrit; if (iopt == 2) iz2 = nz - 1; } else { if (iopt == 1) iz1 = nz - 1; if (iopt == 1) iz2 = izcrit; if (iopt == 2) iz1 = izcrit-1; if (iopt == 2) iz2 = 1; } for (iz = iz1; incrz < 0 ? iz >= iz2 : iz <= iz2; iz += incrz) { L120: if (incry >= 0) { if (iopt == 1) iy1 = 1; if (iopt == 1) iy2 = iycrit-1; if (iopt == 2) iy1 = iycrit; if (iopt == 2) iy2 = ny - 1; } else { if (iopt == 1) iy1 = ny - 1; if (iopt == 1) iy2 = iycrit; if (iopt == 2) iy1 = iycrit-1; if (iopt == 2) iy2 = 1; } for (iy = iy1; incry < 0 ? iy >= iy2 : iy <= iy2; iy += incry) { L130: if (incrx >= 0) { if (iopt == 1) ix1 = 1; if (iopt == 1) ix2 = ixcrit-1; if (iopt == 2) ix1 = ixcrit; if (iopt == 2) ix2 = nx - 1; } else { if (iopt == 1) ix1 = nx - 1; if (iopt == 1) ix2 = ixcrit; if (iopt == 2) ix1 = ixcrit-1; if (iopt == 2) ix2 = 1; } for (ix = ix1; incrx < 0 ? ix >= ix2 : ix <= ix2; ix += incrx) { nnod = 0; ntria = 0; iready = 0; for ( isurf=1 ; isurf<=nsurf ; isurf++ ) { fsurf = s[isurf-1]; if (gCurrentHist->GetBinContent(ix, iy, iz) >= fsurf) goto L210; if (gCurrentHist->GetBinContent(ix+1,iy, iz) >= fsurf) goto L220; if (gCurrentHist->GetBinContent(ix, iy+1,iz) >= fsurf) goto L220; if (gCurrentHist->GetBinContent(ix+1,iy+1,iz) >= fsurf) goto L220; if (gCurrentHist->GetBinContent(ix, iy, iz+1) >= fsurf) goto L220; if (gCurrentHist->GetBinContent(ix+1,iy, iz+1) >= fsurf) goto L220; if (gCurrentHist->GetBinContent(ix, iy+1,iz+1) >= fsurf) goto L220; if (gCurrentHist->GetBinContent(ix+1,iy+1,iz+1) >= fsurf) goto L220; continue; L210: if (gCurrentHist->GetBinContent(ix+1,iy, iz) < fsurf) goto L220; if (gCurrentHist->GetBinContent(ix, iy+1,iz) < fsurf) goto L220; if (gCurrentHist->GetBinContent(ix+1,iy+1,iz) < fsurf) goto L220; if (gCurrentHist->GetBinContent(ix, iy, iz+1) < fsurf) goto L220; if (gCurrentHist->GetBinContent(ix+1,iy, iz+1) < fsurf) goto L220; if (gCurrentHist->GetBinContent(ix, iy+1,iz+1) < fsurf) goto L220; if (gCurrentHist->GetBinContent(ix+1,iy+1,iz+1) < fsurf) goto L220; continue; // P R E P A R E C U B E ( P A R A L L E P I P E D ) L220: if (iready !=0) goto L310; iready = 1; for ( i=1 ; i<=8 ; i++ ) { kx = ix + ind[i-1][0]; ky = iy + ind[i-1][1]; kz = iz + ind[i-1][2]; p[i-1][0] = x[kx-1]; p[i-1][1] = y[ky-1]; p[i-1][2] = z[kz-1]; pf[i-1] = gCurrentHist->GetBinContent(kx,ky,kz); // F I N D X - G R A D I E N T if (kx == 1) { pn[i-1][0] = (gCurrentHist->GetBinContent(2,ky,kz) - gCurrentHist->GetBinContent(1,ky,kz)) / (x[1]-x[0]); } else if (kx == nx) { pn[i-1][0] = (gCurrentHist->GetBinContent(kx,ky,kz) - gCurrentHist->GetBinContent(kx-1,ky,kz)) / (x[kx-1]-x[kx-2]); } else { d1 = x[kx-1] - x[kx-2]; d2 = x[kx] - x[kx-1]; if (d1 == d2) { pn[i-1][0] = (gCurrentHist->GetBinContent(kx+1,ky,kz) - gCurrentHist->GetBinContent(kx-1,ky,kz)) / (d1+d1); } else { df1 = gCurrentHist->GetBinContent(kx,ky,kz) - gCurrentHist->GetBinContent(kx-1,ky,kz); df2 = gCurrentHist->GetBinContent(kx+1,ky,kz) - gCurrentHist->GetBinContent(kx,ky,kz); pn[i-1][0] = (df1*d2*d2+df2*d1*d1)/(d1*d2*d2+d2*d1*d1); } } // F I N D Y - G R A D I E N T if (ky == 1) { pn[i-1][1] = (gCurrentHist->GetBinContent(kx,2,kz) - gCurrentHist->GetBinContent(kx,1,kz)) / (y[1]-y[0]); } else if (ky == ny) { pn[i-1][1] = (gCurrentHist->GetBinContent(kx,ky,kz) - gCurrentHist->GetBinContent(kx,ky-1,kz)) / (y[ky-1]-y[ky-2]); } else { d1 = y[ky-1] - y[ky-2]; d2 = y[ky] - y[ky-1]; if (d1 == d2) { pn[i-1][1] = (gCurrentHist->GetBinContent(kx,ky+1,kz) - gCurrentHist->GetBinContent(kx,ky-1,kz)) / (d1+d1); } else { df1 = gCurrentHist->GetBinContent(kx,ky,kz) - gCurrentHist->GetBinContent(kx,ky-1,kz); df2 = gCurrentHist->GetBinContent(kx,ky+1,kz) - gCurrentHist->GetBinContent(kx,ky,kz); pn[i-1][1] = (df1*d2*d2+df2*d1*d1)/(d1*d2*d2+d2*d1*d1); } } // F I N D Z - G R A D I E N T if (kz == 1) { pn[i-1][2] = (gCurrentHist->GetBinContent(kx,ky,2) - gCurrentHist->GetBinContent(kx,ky,1)) / (z[1]-z[0]); } else if (kz == nz) { pn[i-1][2] = (gCurrentHist->GetBinContent(kx,ky,kz) - gCurrentHist->GetBinContent(kx,ky,kz-1)) / (z[kz-1]-z[kz-2]); } else { d1 = z[kz-1] - z[kz-2]; d2 = z[kz] - z[kz-1]; if (d1 == d2) { pn[i-1][2] = (gCurrentHist->GetBinContent(kx,ky,kz+1) - gCurrentHist->GetBinContent(kx,ky,kz-1)) / (d1+d1); } else { df1 = gCurrentHist->GetBinContent(kx,ky,kz) - gCurrentHist->GetBinContent(kx,ky,kz-1); df2 = gCurrentHist->GetBinContent(kx,ky,kz+1) - gCurrentHist->GetBinContent(kx,ky,kz); pn[i-1][2] = (df1*d2*d2+df2*d1*d1)/(d1*d2*d2+d2*d1*d1); } } } // F I N D S E T O F T R I A N G L E S L310: Double_t xyz_tmp[kNmaxp][3], grad_tmp[kNmaxp][3]; Int_t itria_tmp[kNmaxt][3], l; MarchingCube(s[isurf-1], p, pf, pn, knod, ktria, xyz_tmp, grad_tmp, itria_tmp); for( l=0 ; l<knod ; l++) { xyz[nnod+l][0] = xyz_tmp[l][0]; xyz[nnod+l][1] = xyz_tmp[l][1]; xyz[nnod+l][2] = xyz_tmp[l][2]; grad[nnod+l][0] = grad_tmp[l][0]; grad[nnod+l][1] = grad_tmp[l][1]; grad[nnod+l][2] = grad_tmp[l][2]; } for( l=0 ; l<ktria ; l++) { itria[ntria+l][0] = itria_tmp[l][0]; itria[ntria+l][1] = itria_tmp[l][1]; itria[ntria+l][2] = itria_tmp[l][2]; } for ( i=ntria+1 ; i<=ntria+ktria ; i++ ) { for ( j=1 ; j<=3 ; j++ ){ ibase = nnod; if (itria[i-1][j-1] < 0) ibase =-nnod; itria[i-1][j-1] = itria[i-1][j-1] + ibase; } iattr[i-1] = isurf; } nnod = nnod + knod; ntria = ntria + ktria; } // D E P T H S O R T, D R A W I N G if (ntria == 0) continue; for ( i=1 ; i<=nnod ; i++ ) { view->WCtoNDC(&xyz[i-1][0], &xyzn[i-1][0]); Luminosity(&grad[i-1][0], w); grad[i-1][0] = w; } ZDepth(xyzn, ntria, itria, dtria, abcd, (Int_t*)iorder); if (ntria == 0) continue; incr = 1; if (iopt == 1) incr = -1; i1 = 1; if (incr == -1) i1 = ntria; i2 = ntria - i1 + 1; for (i = i1; incr < 0 ? i >= i2 : i <= i2; i += incr) { k = iorder[i-1]; t[0] = grad[TMath::Abs(itria[k-1][0])-1][0]; t[1] = grad[TMath::Abs(itria[k-1][1])-1][0]; t[2] = grad[TMath::Abs(itria[k-1][2])-1][0]; icodes[0] = iattr[k-1]; icodes[1] = iattr[k-1]; icodes[2] = iattr[k-1]; DrawFaceGouraudShaded(icodes, xyz, 3, &itria[k-1][0], t); } } incrx = -incrx; if (incrx < 0) goto L130; } incry = -incry; if (incry < 0) goto L120; } incrz = -incrz; if (incrz < 0) goto L110; } //______________________________________________________________________________ void TPainter3dAlgorithms::DrawFaceGouraudShaded(Int_t *icodes, Double_t xyz[][3], Int_t np, Int_t *iface, Double_t *t) { // Draw the faces for the Gouraud Shaded Iso surfaces Int_t i, k, irep; Double_t p3[12][3]; TView *view = 0; if (gPad) view = gPad->GetView(); if (!view) { Error("ImplicitFunction", "no TView in current pad"); return; } if (icodes[0]==1) Spectrum(fNcolor, fFmin, fFmax, fIc1, 1, irep); if (icodes[0]==2) Spectrum(fNcolor, fFmin, fFmax, fIc2, 1, irep); if (icodes[0]==3) Spectrum(fNcolor, fFmin, fFmax, fIc3, 1, irep); for ( i=1 ; i<=np ; i++) { k = iface[i-1]; if (k<0) k = -k; view->WCtoNDC(&xyz[k-1][0], &p3[i-1][0]); } FillPolygon(np, (Double_t *)p3, (Double_t *)t); }
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