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Reference Guide
TEveProjections.cxx
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1 // @(#)root/eve:$Id$
2 // Authors: Matevz Tadel & Alja Mrak-Tadel: 2006, 2007
3 
4 /*************************************************************************
5  * Copyright (C) 1995-2007, Rene Brun and Fons Rademakers. *
6  * All rights reserved. *
7  * *
8  * For the licensing terms see $ROOTSYS/LICENSE. *
9  * For the list of contributors see $ROOTSYS/README/CREDITS. *
10  *************************************************************************/
11 
12 #include "TError.h"
13 
14 #include "TEveProjections.h"
15 #include "TEveTrans.h"
16 #include "TEveUtil.h"
17 
18 #include <limits>
19 
20 /** \class TEveProjection
21 \ingroup TEve
22 Base-class for non-linear projections.
23 
24 Enables to define an external center of distortion and a scale to
25 fixate a bounding box of a projected point.
26 */
27 
29 
32 
33 ////////////////////////////////////////////////////////////////////////////////
34 /// Constructor.
35 
37  fType (kPT_Unknown),
38  fGeoMode (kGM_Unknown),
39  fName (0),
40  fCenter (),
41  fDisplaceOrigin (kFALSE),
42  fUsePreScale (kFALSE),
43  fDistortion (0.0f),
44  fFixR (300), fFixZ (400),
45  fPastFixRFac (0), fPastFixZFac (0),
46  fScaleR (1), fScaleZ (1),
47  fPastFixRScale (1), fPastFixZScale (1),
48  fMaxTrackStep (5)
49 {
50 }
51 
52 ////////////////////////////////////////////////////////////////////////////////
53 /// Project float array.
54 
56 {
57  ProjectPoint(v[0], v[1], v[2], d);
58 }
59 
60 ////////////////////////////////////////////////////////////////////////////////
61 /// Project double array.
62 /// This is a bit piggish as we convert the doubles to floats and back.
63 
65 {
66  Float_t x = v[0], y = v[1], z = v[2];
67  ProjectPoint(x, y, z, d);
68  v[0] = x; v[1] = y; v[2] = z;
69 }
70 
71 ////////////////////////////////////////////////////////////////////////////////
72 /// Project TEveVector.
73 
75 {
76  ProjectPoint(v.fX, v.fY, v.fZ, d);
77 }
78 
79 ////////////////////////////////////////////////////////////////////////////////
80 /// Project float array, converting it to global coordinate system first if
81 /// transformation matrix is set.
82 
84 {
85  v[0] = p[0]; v[1] = p[1]; v[2] = p[2];
86  if (t)
87  {
88  t->MultiplyIP(v);
89  }
90  ProjectPoint(v[0], v[1], v[2], d);
91 }
92 
93 ////////////////////////////////////////////////////////////////////////////////
94 /// Project double array, converting it to global coordinate system first if
95 /// transformation matrix is set.
96 /// This is a bit piggish as we convert the doubles to floats and back.
97 
99 {
100  Float_t x, y, z;
101  if (t)
102  {
103  t->Multiply(p, v);
104  x = v[0]; y = v[1]; z = v[2];
105  }
106  else
107  {
108  x = p[0]; y = p[1]; z = p[2];
109  }
110  ProjectPoint(x, y, z, d);
111  v[0] = x; v[1] = y; v[2] = z;
112 }
113 
114 ////////////////////////////////////////////////////////////////////////////////
115 /// Project TEveVector, converting it to global coordinate system first if
116 /// transformation matrix is set.
117 
119 {
120  if (t)
121  {
122  t->MultiplyIP(v);
123  }
124  ProjectPoint(v.fX, v.fY, v.fZ, d);
125 }
126 
127 ////////////////////////////////////////////////////////////////////////////////
128 /// Pre-scale single variable with pre-scale entry dim.
129 
131 {
132  if (!fPreScales[dim].empty())
133  {
134  Bool_t invp = kFALSE;
135  if (v < 0) {
136  v = -v;
137  invp = kTRUE;
138  }
139  vPreScale_i i = fPreScales[dim].begin();
140  while (v > i->fMax)
141  ++i;
142  v = i->fOffset + (v - i->fMin)*i->fScale;
143  if (invp)
144  v = -v;
145  }
146 }
147 
148 ////////////////////////////////////////////////////////////////////////////////
149 /// Pre-scale point (x, y) in projected coordinates for 2D projections:
150 /// - RhoZ ~ (rho, z)
151 /// - RPhi ~ (r, phi), scaling phi doesn't make much sense.
152 
154 {
155  PreScaleVariable(0, x);
156  PreScaleVariable(1, y);
157 }
158 
159 ////////////////////////////////////////////////////////////////////////////////
160 /// Pre-scale point (x, y, z) in projected coordinates for 3D projection.
161 
163 {
164  PreScaleVariable(0, x);
165  PreScaleVariable(1, y);
166  PreScaleVariable(2, z);
167 }
168 
169 ////////////////////////////////////////////////////////////////////////////////
170 /// Add new scaling range for given coordinate.
171 /// Arguments:
172 /// - coord 0 ~ x, 1 ~ y, 2 ~ z
173 /// - value value of input coordinate from which to apply this scale;
174 /// - scale the scale to apply from value onwards.
175 ///
176 /// NOTE: If pre-scaling is combined with center-displaced then
177 /// the scale of the central region should be 1. This limitation
178 /// can be removed but will cost CPU.
179 
181 {
182  static const TEveException eh("TEveProjection::AddPreScaleEntry ");
183 
184  if (coord < 0 || coord > 2)
185  throw (eh + "coordinate out of range.");
186 
187  const Float_t infty = std::numeric_limits<Float_t>::infinity();
188 
189  vPreScale_t& vec = fPreScales[coord];
190 
191  if (vec.empty())
192  {
193  if (value == 0)
194  {
195  vec.push_back(PreScaleEntry_t(0, infty, 0, scale));
196  }
197  else
198  {
199  vec.push_back(PreScaleEntry_t(0, value, 0, 1));
200  vec.push_back(PreScaleEntry_t(value, infty, value, scale));
201  }
202  }
203  else
204  {
205  PreScaleEntry_t& prev = vec.back();
206  if (value <= prev.fMin)
207  throw (eh + "minimum value not larger than previous one.");
208 
209  prev.fMax = value;
210  Float_t offset = prev.fOffset + (prev.fMax - prev.fMin)*prev.fScale;
211  vec.push_back(PreScaleEntry_t(value, infty, offset, scale));
212  }
213 }
214 
215 ////////////////////////////////////////////////////////////////////////////////
216 /// Change scale for given entry and coordinate.
217 ///
218 /// NOTE: If the first entry you created used other value than 0,
219 /// one entry (covering range from 0 to this value) was created
220 /// automatically.
221 
223  Float_t new_scale)
224 {
225  static const TEveException eh("TEveProjection::ChangePreScaleEntry ");
226 
227  if (coord < 0 || coord > 2)
228  throw (eh + "coordinate out of range.");
229 
230  vPreScale_t& vec = fPreScales[coord];
231  Int_t vs = vec.size();
232  if (entry < 0 || entry >= vs)
233  throw (eh + "entry out of range.");
234 
235  vec[entry].fScale = new_scale;
236  Int_t i0 = entry, i1 = entry + 1;
237  while (i1 < vs)
238  {
239  PreScaleEntry_t e0 = vec[i0];
240  vec[i1].fOffset = e0.fOffset + (e0.fMax - e0.fMin)*e0.fScale;
241  i0 = i1++;
242  }
243 }
244 
245 ////////////////////////////////////////////////////////////////////////////////
246 /// Clear all pre-scaling information.
247 
249 {
250  fPreScales[0].clear();
251  fPreScales[1].clear();
252  fPreScales[2].clear();
253 }
254 
255 ////////////////////////////////////////////////////////////////////////////////
256 /// Set distortion.
257 
259 {
260  fDistortion = d;
261  fScaleR = 1.0f + fFixR*fDistortion;
262  fScaleZ = 1.0f + fFixZ*fDistortion;
265 }
266 
267 ////////////////////////////////////////////////////////////////////////////////
268 /// Set fixed radius.
269 
271 {
272  fFixR = r;
273  fScaleR = 1 + fFixR*fDistortion;
275 }
276 
277 ////////////////////////////////////////////////////////////////////////////////
278 /// Set fixed radius.
279 
281 {
282  fFixZ = z;
283  fScaleZ = 1 + fFixZ*fDistortion;
285 }
286 
287 ////////////////////////////////////////////////////////////////////////////////
288 /// Set 2's-exponent for relative scaling beyond FixR.
289 
291 {
292  fPastFixRFac = x;
294 }
295 
296 ////////////////////////////////////////////////////////////////////////////////
297 /// Get projected center.
298 
300 {
301  static TEveVector zero;
302 
303  if (fDisplaceOrigin)
304  return zero.Arr();
305  else
306  return fCenter.Arr();
307 }
308 
309 ////////////////////////////////////////////////////////////////////////////////
310 /// Set flag to displace for center.
311 /// This options is useful if want to have projected center
312 /// at (0, 0) position in projected coordinates and want to dismiss
313 /// gap around projected center in RhoZ projection.
314 
316 {
317  fDisplaceOrigin = x;
318  // update projected center
320 }
321 
322 ////////////////////////////////////////////////////////////////////////////////
323 /// Set 2's-exponent for relative scaling beyond FixZ.
324 
326 {
327  fPastFixZFac = x;
329 }
330 
331 ////////////////////////////////////////////////////////////////////////////////
332 /// Find break-point on both sides of the discontinuity.
333 /// They still need to be projected after the call.
334 /// This is an obsolete version of the method that required manual
335 /// specification of precision -- this lead to (infrequent) infinite loops.
336 
338 {
339  static Bool_t warnedp = kFALSE;
340 
341  if (!warnedp)
342  {
343  Warning("BisectBreakPoint", "call with eps_sqr argument is obsolete - please use the new signature.");
344  warnedp = kTRUE;
345  }
346 
347  BisectBreakPoint(vL, vR, kFALSE);
348 }
349 
350 ////////////////////////////////////////////////////////////////////////////////
351 /// Find break-point on both sides of the discontinuity.
352 /// If project_result is true, the resulting break points will be projected
353 /// with given depth value.
354 
356  Bool_t project_result, Float_t depth)
357 {
358  TEveVector vM, vLP, vMP;
359  Int_t n_loops = TMath::CeilNint(TMath::Log2(1e12 * (vL-vR).Mag2() / (0.5f*(vL+vR)).Mag2()) / 2);
360  while (--n_loops >= 0)
361  {
362  vM.Mult(vL + vR, 0.5f);
363  vLP.Set(vL); ProjectPoint(vLP.fX, vLP.fY, vLP.fZ, 0);
364  vMP.Set(vM); ProjectPoint(vMP.fX, vMP.fY, vMP.fZ, 0);
365 
366  if (IsOnSubSpaceBoundrary(vMP))
367  {
368  vL.Set(vM);
369  vR.Set(vM);
370  break;
371  }
372 
373  if (AcceptSegment(vLP, vMP, 0.0f))
374  {
375  vL.Set(vM);
376  }
377  else
378  {
379  vR.Set(vM);
380  }
381  }
382 
383  if (project_result)
384  {
385  ProjectVector(vL, depth);
386  ProjectVector(vR, depth);
387  }
388 }
389 
390 ////////////////////////////////////////////////////////////////////////////////
391 /// Method previously used by TEveProjectionAxesGL. Now obsolete.
392 
394 {
395  ::Warning("TEveProjection::GetLimits", "method is obsolete");
396 
397  return 0;
398 }
399 
400 ////////////////////////////////////////////////////////////////////////////////
401 /// Get vector for axis in a projected space.
402 
404 {
405  for (Int_t i=0; i<3; i++)
406  {
407  vec[i] = (i==screenAxis) ? 1.0f : 0.0f;
408  }
409 }
410 
411 ////////////////////////////////////////////////////////////////////////////////
412 /// Get center ortogonal to given axis index.
413 
415 {
416  TEveVector dirVec;
417  SetDirectionalVector(i, dirVec);
418 
419  TEveVector dirCenter;
420  dirCenter.Mult(dirVec, fCenter.Dot(dirVec));
421  centerOO = fCenter - dirCenter;
422 
423 
424  return centerOO;
425 }
426 
427 ////////////////////////////////////////////////////////////////////////////////
428 /// Inverse projection.
429 
431 {
432  static const TEveException eH("TEveProjection::GetValForScreenPos ");
433 
434  static const int kMaxSteps = 5000;
435  static const int kMaxVal = 10;
436 
437  Float_t xL, xM, xR;
438  TEveVector vec;
439 
440  TEveVector dirVec;
441  SetDirectionalVector(axisIdx, dirVec);
442 
443  TEveVector zero;
444  if (fDisplaceOrigin) zero = fCenter;
445 
446  TEveVector zeroProjected = zero;
447  ProjectVector(zeroProjected, 0.f);
448 
449  // search from -/+ infinity according to sign of screen value
450  if (sv > zeroProjected[axisIdx])
451  {
452  xL = 0;
453  xR = kMaxVal;
454 
455  int cnt = 0;
456  while (cnt < kMaxSteps)
457  {
458  vec.Mult(dirVec, xR);
459  if (fDisplaceOrigin) vec += fCenter;
460 
461  ProjectVector(vec, 0);
462  if (vec[axisIdx] >= sv) break;
463  xL = xR; xR *= 2;
464 
465  if (++cnt >= kMaxSteps)
466  throw eH + Form("positive projected %f, value %f,xL, xR ( %f, %f)\n", vec[axisIdx], sv, xL, xR);
467  }
468  }
469  else if (sv < zeroProjected[axisIdx])
470  {
471  xR = 0;
472  xL = -kMaxVal;
473 
474  int cnt = 0;
475  while (cnt < kMaxSteps)
476  {
477  vec.Mult(dirVec, xL);
478  if (fDisplaceOrigin) vec += fCenter;
479 
480  ProjectVector(vec, 0);
481  if (vec[axisIdx] <= sv) break;
482  xR = xL; xL *= 2;
483  if (++cnt >= kMaxSteps)
484  throw eH + Form("negative projected %f, value %f,xL, xR ( %f, %f)\n", vec[axisIdx], sv, xL, xR);
485  }
486  }
487  else
488  {
489  return 0.0f;
490  }
491 
492  // printf("search for value %f in rng[%f, %f] \n", sv, xL, xR);
493  int cnt = 0;
494  do
495  {
496  //printf("search value with bisection xL=%f, xR=%f; vec[axisIdx]=%f, sv=%f\n", xL, xR, vec[axisIdx], sv);
497  xM = 0.5f * (xL + xR);
498  vec.Mult(dirVec, xM);
499  if (fDisplaceOrigin) vec += fCenter;
500  ProjectVector(vec, 0);
501  if (vec[axisIdx] > sv)
502  xR = xM;
503  else
504  xL = xM;
505  if (++cnt >= kMaxSteps)
506  throw eH + Form("can't converge %f %f, l/r %f/%f, idx=%d\n", vec[axisIdx], sv, xL, xR, axisIdx);
507 
508  } while (TMath::Abs(vec[axisIdx] - sv) >= fgEps);
509 
510 
511  return xM;
512 }
513 
514 ////////////////////////////////////////////////////////////////////////////////
515 /// Project point on given axis and return projected value.
516 
518 {
519  TEveVector pos = dirVec*x;
520 
521  if (fDisplaceOrigin)
522  pos += fCenter;
523 
524  ProjectVector(pos , 0.f);
525 
526  return pos[i];
527 }
528 
529 ////////////////////////////////////////////////////////////////////////////////
530 /// Project point on given axis and return projected value.
531 
533 {
534  TEveVector dirVec;
535  SetDirectionalVector(i, dirVec);
536  TEveVector oCenter;
537  // GetOrthogonalCenter(i, oCenter);
538  return GetScreenVal(i, x, dirVec, oCenter);
539 }
540 
541 /** \class TEveRhoZProjection
542 \ingroup TEve
543 Transformation from 3D to 2D. X axis represent Z coordinate. Y axis have value of
544 radius with a sign of Y coordinate.
545 */
546 
548 
549 ////////////////////////////////////////////////////////////////////////////////
550 /// Constructor.
551 
554 {
555  fType = kPT_RhoZ;
556  fName = "RhoZ";
557 }
558 
559 ////////////////////////////////////////////////////////////////////////////////
560 /// Project point.
561 
563  Float_t d, EPProc_e proc)
564 {
565  using namespace TMath;
566 
567  if (fDisplaceOrigin) {
568  x -= fCenter.fX;
569  y -= fCenter.fY;
570  z -= fCenter.fZ;
571  }
572  if (proc == kPP_Plane || proc == kPP_Full)
573  {
574  // project
575  y = Sign((Float_t)Sqrt(x*x+y*y), y);
576  x = z;
577  }
578  if (proc == kPP_Distort || proc == kPP_Full)
579  {
580  if (fUsePreScale)
581  PreScalePoint(y, x);
582 
583 
584  // distort
585 
586  if (!fDisplaceOrigin) {
587  x -= fProjectedCenter.fX;
588  y -= fProjectedCenter.fY;
589  }
590 
591  if (x > fFixZ)
592  x = fFixZ + fPastFixZScale*(x - fFixZ);
593  else if (x < -fFixZ)
594  x = -fFixZ + fPastFixZScale*(x + fFixZ);
595  else
596  x = x * fScaleZ / (1.0f + Abs(x)*fDistortion);
597 
598  if (y > fFixR)
599  y = fFixR + fPastFixRScale*(y - fFixR);
600  else if (y < -fFixR)
601  y = -fFixR + fPastFixRScale*(y + fFixR);
602  else
603  y = y * fScaleR / (1.0f + Abs(y)*fDistortion);
604 
605  if (!fDisplaceOrigin) {
606  x += fProjectedCenter.fX;
607  y += fProjectedCenter.fY;
608  }
609  }
610  z = d;
611 }
612 
613 ////////////////////////////////////////////////////////////////////////////////
614 /// Set center of distortion (virtual method).
615 
617 {
618  fCenter = v;
619 
620  if (fDisplaceOrigin)
621  {
622  fProjectedCenter.Set(0.f, 0.f, 0.f);
623  }
624  else
625  {
626  Float_t r = TMath::Sqrt(v.fX*v.fX + v.fY*v.fY);
629  fProjectedCenter.fZ = 0;
630  }
631 }
632 
633 ////////////////////////////////////////////////////////////////////////////////
634 /// Get direction in the unprojected space for axis index in the
635 /// projected space.
636 /// This is virtual method from base-class TEveProjection.
637 
639 {
640  if (screenAxis == 0)
641  vec.Set(0.0f, 0.0f, 1.0f);
642  else if (screenAxis == 1)
643  vec.Set(0.0f, 1.0f, 0.0f);
644 
645 }
646 
647 ////////////////////////////////////////////////////////////////////////////////
648 /// Check if segment of two projected points is valid.
649 ///
650 /// Move slightly one of the points if by shifting it by no more than
651 /// tolerance the segment can become acceptable.
652 
654  Float_t tolerance) const
655 {
657  Bool_t val = kTRUE;
658  if ((v1.fY < a && v2.fY > a) || (v1.fY > a && v2.fY < a))
659  {
660  val = kFALSE;
661  if (tolerance > 0)
662  {
663  Float_t a1 = TMath::Abs(v1.fY - a), a2 = TMath::Abs(v2.fY - a);
664  if (a1 < a2)
665  {
666  if (a1 < tolerance) { v1.fY = a; val = kTRUE; }
667  }
668  else
669  {
670  if (a2 < tolerance) { v2.fY = a; val = kTRUE; }
671  }
672  }
673  }
674  return val;
675 }
676 
677 ////////////////////////////////////////////////////////////////////////////////
678 /// Return sub-space id for the point.
679 /// 0 - upper half-space
680 /// 1 - lower half-space
681 
683 {
684  return v.fY > fProjectedCenter.fY ? 0 : 1;
685 }
686 
687 ////////////////////////////////////////////////////////////////////////////////
688 /// Checks if point is on sub-space boundary.
689 
691 {
692  return v.fY == fProjectedCenter.fY;
693 }
694 
695 /** \class TEveRPhiProjection
696 \ingroup TEve
697 XY projection with distortion around given center.
698 */
699 
701 
702 ////////////////////////////////////////////////////////////////////////////////
703 /// Constructor.
704 
707 {
708  fType = kPT_RPhi;
710  fName = "RhoPhi";
711 }
712 
713 ////////////////////////////////////////////////////////////////////////////////
714 /// Project point.
715 
717  Float_t d, EPProc_e proc)
718 {
719  using namespace TMath;
720 
721  if (fDisplaceOrigin)
722  {
723  x -= fCenter.fX;
724  y -= fCenter.fY;
725  z -= fCenter.fZ;
726  }
727 
728  if (proc != kPP_Plane)
729  {
730  Float_t r, phi;
731  if (fUsePreScale)
732  {
733  r = Sqrt(x*x + y*y);
734  phi = (x == 0.0f && y == 0.0f) ? 0.0f : ATan2(y, x);
735  PreScalePoint(r, phi);
736  x = r*Cos(phi);
737  y = r*Sin(phi);
738  }
739 
740  if (!fDisplaceOrigin)
741  {
742  x -= fCenter.fX;
743  y -= fCenter.fY;
744  }
745 
746  r = Sqrt(x*x + y*y);
747  phi = (x == 0.0f && y == 0.0f) ? 0.0f : ATan2(y, x);
748 
749  if (r > fFixR)
750  r = fFixR + fPastFixRScale*(r - fFixR);
751  else if (r < -fFixR)
752  r = -fFixR + fPastFixRScale*(r + fFixR);
753  else
754  r = r * fScaleR / (1.0f + r*fDistortion);
755 
756  x = r*Cos(phi);
757  y = r*Sin(phi);
758 
759  if (!fDisplaceOrigin)
760  {
761  x += fCenter.fX;
762  y += fCenter.fY;
763  }
764  }
765  z = d;
766 }
767 
768 /** \class TEve3DProjection
769 \ingroup TEve
770 3D scaling projection. One has to use pre-scaling to make any ise of this.
771 */
772 
774 
775 ////////////////////////////////////////////////////////////////////////////////
776 /// Constructor.
777 
780 {
781  fType = kPT_3D;
783  fName = "3D";
784 }
785 
786 ////////////////////////////////////////////////////////////////////////////////
787 /// Project point.
788 
790  Float_t /*d*/, EPProc_e proc)
791 {
792  using namespace TMath;
793 
794  if (proc != kPP_Plane)
795  {
796  if (fUsePreScale)
797  {
798  PreScalePoint(x, y, z);
799  }
800 
801  x -= fCenter.fX;
802  y -= fCenter.fY;
803  z -= fCenter.fZ;
804  }
805 }
TEveTrans is a 4x4 transformation matrix for homogeneous coordinates stored internally in a column-ma...
Definition: TEveTrans.h:26
TEve3DProjection()
Constructor.
virtual void SetDirectionalVector(Int_t screenAxis, TEveVector &vec)
Get vector for axis in a projected space.
T1 Sign(T1 a, T2 b)
Definition: TMathBase.h:153
vPreScale_t fPreScales[3]
void Set(const Float_t *v)
Definition: TEveVector.h:78
float Float_t
Definition: RtypesCore.h:53
virtual void SetCenter(TEveVector &v)
Set center of distortion (virtual method).
void ClearPreScales()
Clear all pre-scaling information.
virtual void SetDirectionalVector(Int_t screenAxis, TEveVector &vec)
Get direction in the unprojected space for axis index in the projected space.
TT Dot(const TEveVectorT &a) const
Definition: TEveVector.h:164
Float_t GetLimit(Int_t i, Bool_t pos)
Method previously used by TEveProjectionAxesGL. Now obsolete.
3D scaling projection.
void ProjectPointdv(Double_t *v, Float_t d)
Project double array.
virtual void ProjectPoint(Float_t &x, Float_t &y, Float_t &z, Float_t d, EPProc_e proc=kPP_Full)
Project point.
std::vector< PreScaleEntry_t >::iterator vPreScale_i
Double_t Log2(Double_t x)
Definition: TMath.cxx:101
Float_t fPastFixZScale
#define f(i)
Definition: RSha256.hxx:104
int Int_t
Definition: RtypesCore.h:41
bool Bool_t
Definition: RtypesCore.h:59
virtual Float_t GetScreenVal(Int_t ax, Float_t value)
Project point on given axis and return projected value.
void MultiplyIP(TVector3 &v, Double_t w=1) const
Multiply vector in-place.
Definition: TEveTrans.cxx:729
virtual Bool_t AcceptSegment(TEveVector &, TEveVector &, Float_t) const
virtual void ProjectPoint(Float_t &x, Float_t &y, Float_t &z, Float_t d, EPProc_e proc=kPP_Full)
Project point.
TEveRPhiProjection()
Constructor.
TEveVector fCenter
Short_t Abs(Short_t d)
Definition: TMathBase.h:108
LongDouble_t Power(LongDouble_t x, LongDouble_t y)
Definition: TMath.h:734
virtual Bool_t IsOnSubSpaceBoundrary(const TEveVector &v) const
Checks if point is on sub-space boundary.
Double_t x[n]
Definition: legend1.C:17
virtual Int_t SubSpaceId(const TEveVector &v) const
Return sub-space id for the point.
virtual void ProjectPoint(Float_t &x, Float_t &y, Float_t &z, Float_t d, EPProc_e p=kPP_Full)=0
XY projection with distortion around given center.
void PreScalePoint(Float_t &x, Float_t &y)
Pre-scale point (x, y) in projected coordinates for 2D projections:
void ProjectVector(TEveVector &v, Float_t d)
Project TEveVector.
Double_t ATan2(Double_t, Double_t)
Definition: TMath.h:678
Base-class for non-linear projections.
std::vector< PreScaleEntry_t > vPreScale_t
TEveVector fProjectedCenter
void SetFixR(Float_t x)
Set fixed radius.
static Float_t fgEps
const TT * Arr() const
Definition: TEveVector.h:54
virtual Bool_t IsOnSubSpaceBoundrary(const TEveVector &) const
void SetFixZ(Float_t x)
Set fixed radius.
TEveProjection()
Constructor.
Double_t Sqrt(Double_t x)
ROOT::R::TRInterface & r
Definition: Object.C:4
SVector< double, 2 > v
Definition: Dict.h:5
auto * a
Definition: textangle.C:12
void SetPastFixRFac(Float_t x)
Set 2&#39;s-exponent for relative scaling beyond FixR.
EGeoMode_e fGeoMode
virtual Float_t GetValForScreenPos(Int_t ax, Float_t value)
Inverse projection.
char * Form(const char *fmt,...)
virtual void BisectBreakPoint(TEveVector &vL, TEveVector &vR, Float_t eps_sqr)
Find break-point on both sides of the discontinuity.
T Mag2(const SVector< T, D > &rhs)
Vector magnitude square Template to compute .
Definition: Functions.h:229
void Warning(const char *location, const char *msgfmt,...)
Float_t fPastFixRScale
TEveVectorT & Mult(const TEveVectorT &a, TT af)
Definition: TEveVector.h:192
Double_t Cos(Double_t)
Definition: TMath.h:640
void ProjectPointfv(Float_t *v, Float_t d)
Project float array.
const Bool_t kFALSE
Definition: RtypesCore.h:88
PyObject * fType
#define d(i)
Definition: RSha256.hxx:102
void SetDisplaceOrigin(bool)
Set flag to displace for center.
virtual Float_t * GetProjectedCenter()
Get projected center.
#define ClassImp(name)
Definition: Rtypes.h:359
double Double_t
Definition: RtypesCore.h:55
virtual void SetCenter(TEveVector &v)
static Float_t fgEpsSqr
Double_t y[n]
Definition: legend1.C:17
void SetDistortion(Float_t d)
Set distortion.
TVector3 Multiply(const TVector3 &v, Double_t w=1) const
Multiply vector and return it.
Definition: TEveTrans.cxx:761
virtual void ProjectPoint(Float_t &x, Float_t &y, Float_t &z, Float_t d, EPProc_e proc=kPP_Full)
Project point.
TEveVector GetOrthogonalCenter(int idx, TEveVector &out)
Get center ortogonal to given axis index.
you should not use this method at all Int_t Int_t z
Definition: TRolke.cxx:630
Float_t fPastFixZFac
Double_t Sin(Double_t)
Definition: TMath.h:636
Float_t fPastFixRFac
Exception class thrown by TEve classes and macros.
Definition: TEveUtil.h:102
void PreScaleVariable(Int_t dim, Float_t &v)
Pre-scale single variable with pre-scale entry dim.
void ChangePreScaleEntry(Int_t coord, Int_t entry, Float_t new_scale)
Change scale for given entry and coordinate.
TEveRhoZProjection()
Constructor.
Double_t Sqrt(Double_t x)
Definition: TMath.h:690
TMath.
Definition: TMathBase.h:34
void SetPastFixZFac(Float_t x)
Set 2&#39;s-exponent for relative scaling beyond FixZ.
const Bool_t kTRUE
Definition: RtypesCore.h:87
virtual Bool_t AcceptSegment(TEveVector &v1, TEveVector &v2, Float_t tolerance) const
Check if segment of two projected points is valid.
Int_t CeilNint(Double_t x)
Definition: TMath.h:698
const char * cnt
Definition: TXMLSetup.cxx:74
Transformation from 3D to 2D.
void AddPreScaleEntry(Int_t coord, Float_t max_val, Float_t scale)
Add new scaling range for given coordinate.