VMC Project Blog
Updated on Thu, 2015-06-18 10:26. Originally created by jwebb on 2015-06-15 09:25.
06/18/2015 AgSTAR vs VMC Hit Comparisons
Plots shown below illustrate difference in tracking behavior between popstar and starsim. Many more steps are required to propagate single tracks in a pythia event through identical geometries. Possible explanations for this are (1) differences in tracking cuts which may remain between the applications; (2) differences in code between STAR's G3 and VMC G3; (3) Possibly due to difference in how TGeo handles MANY vs ONLY volumes.
Impact on the simulated detector response may be minimal.
Figure 1 -- Comparison on single steps through TPAD (tpc active volume) between popstar (black) and starsim (red). Differences observed in number
and size of steps between the two simulations.
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)
Figure 2 -- Sum of stepsize and energy deposit in TPAD over all steps taken. Total pathlength in TPAD is consistent between popstar (black) and starsim (red). Total energy deposited is in reasonable agreement, but differs in detail.
![](data:image/png;base64,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)
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)
Figure 3 -- LEFT: Number of tracking steps in popstar at a given radius. RIGHT: starsim.
![](data:image/png;base64,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)
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)
Figure 4 -- Number of steps vs volume number. (i.e. this is the number of tracking steps required to reach a given volume. *NOT* the number of steps taken within a given volume.) LEFT : popstar. RIGHT: starsim. X axis has been zoomed in on the range of TPC volumes.
![](data:image/png;base64,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)
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)
06/17/2015 Notes
Implemented GSTPAR calls, associating tracking cuts (e.g. CUTGAM, CUTELE, etc...) to tracking media.
Fixed medium initialization bug. IGAUTO flag is set to zero in starsim. Negative values for deemax, stmin and stemax are set by default in all media in
starsim, which instructs G3 to calculate these values.
06/16/2015 TODO LIST
1) Use StIOInterface / maker to save hits in standard STAR format
2) Develop unit tests for popstar hits
3) Check code into offline area in CVS
4) Install latest G3 VMC
5) Install latest G4 VMC and G4
6) Implement legacy STAR geometries in StarAgMLMaker
06/15/2015 Possible BUG in TGeant3TGeo (gtonlyTGeo)
TGeant3TGeo's implementation of gtonly always returns 1, without checking to see if a volume's overlapping flag is set. There is an exceedingly helpful comment left behind which suggests that TGeo geometry always returns only. Sarcasm aside, we need to verify whether overlaps are handled properly in VMC.
06/15/2015 Bug in popstar -- medium parameters not being passed properly --
Update 1: Not a bug, but a feature. By default, step sizes are automatically calculated by G3. Pavel disabled this in starsim.
Update 2: We are using an older version of TGeant3, which lacks the functionality to disable automatic medium paramter calculation. More recent version should be adopted.
Update 3: TGeant3::SetAUTO(0) disable auto configuration of step sizes. However, results in a significantly longer simulation time. Seconds --> (at least) minutes.
Question: Does starsim handle this differently? Yes, sort of. Parameters which are flagged with a negative value are automatically computed even when IGAUTO is set to zero. AgSTAR takes adavantage of this
to autocompute stmin, stmax and deemax. AgML did not do this. Rather all step sizes were specified.
Fix: change default values for stmin, stemax and deemax to be consistent with starsim default. i.e. negative.
Plots shown below illustrate difference in tracking behavior between popstar and starsim. Many more steps are required to propagate single tracks in a pythia event through identical geometries. Possible explanations for this are (1) differences in tracking cuts which may remain between the applications; (2) differences in code between STAR's G3 and VMC G3; (3) Possibly due to difference in how TGeo handles MANY vs ONLY volumes.
Impact on the simulated detector response may be minimal.
Figure 1 -- Comparison on single steps through TPAD (tpc active volume) between popstar (black) and starsim (red). Differences observed in number
and size of steps between the two simulations.
Figure 2 -- Sum of stepsize and energy deposit in TPAD over all steps taken. Total pathlength in TPAD is consistent between popstar (black) and starsim (red). Total energy deposited is in reasonable agreement, but differs in detail.
Figure 3 -- LEFT: Number of tracking steps in popstar at a given radius. RIGHT: starsim.
Figure 4 -- Number of steps vs volume number. (i.e. this is the number of tracking steps required to reach a given volume. *NOT* the number of steps taken within a given volume.) LEFT : popstar. RIGHT: starsim. X axis has been zoomed in on the range of TPC volumes.
06/17/2015 Notes
Implemented GSTPAR calls, associating tracking cuts (e.g. CUTGAM, CUTELE, etc...) to tracking media.
Fixed medium initialization bug. IGAUTO flag is set to zero in starsim. Negative values for deemax, stmin and stemax are set by default in all media in
starsim, which instructs G3 to calculate these values.
06/16/2015 TODO LIST
1) Use StIOInterface / maker to save hits in standard STAR format
2) Develop unit tests for popstar hits
3) Check code into offline area in CVS
4) Install latest G3 VMC
5) Install latest G4 VMC and G4
6) Implement legacy STAR geometries in StarAgMLMaker
06/15/2015 Possible BUG in TGeant3TGeo (gtonlyTGeo)
TGeant3TGeo's implementation of gtonly always returns 1, without checking to see if a volume's overlapping flag is set. There is an exceedingly helpful comment left behind which suggests that TGeo geometry always returns only. Sarcasm aside, we need to verify whether overlaps are handled properly in VMC.
06/15/2015 Bug in popstar -- medium parameters not being passed properly --
Update 1: Not a bug, but a feature. By default, step sizes are automatically calculated by G3. Pavel disabled this in starsim.
Update 2: We are using an older version of TGeant3, which lacks the functionality to disable automatic medium paramter calculation. More recent version should be adopted.
Update 3: TGeant3::SetAUTO(0) disable auto configuration of step sizes. However, results in a significantly longer simulation time. Seconds --> (at least) minutes.
Question: Does starsim handle this differently? Yes, sort of. Parameters which are flagged with a negative value are automatically computed even when IGAUTO is set to zero. AgSTAR takes adavantage of this
to autocompute stmin, stmax and deemax. AgML did not do this. Rather all step sizes were specified.
Fix: change default values for stmin, stemax and deemax to be consistent with starsim default. i.e. negative.
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