[PWGEM/PhotonMeson] Add option for fast analytical propagation of tracks

[jokonig]

• Photonconversion builder is slow due to many propagation of the tracks to the primary vertex etc.
• Add a fast routine to calcuate DCA and Phiv, Psi-Pair from the track helix.
• Add histograms to compare the results of both methods

[github-actions]

O2 linter results: ❌ 40 errors, ⚠️ 79 warnings, 🔕 1 disabled

[alibuild]

Error while checking build/O2Physics/code-check for 9fd35fe at 2026-08-02 21:13:

## sw/BUILD/O2Physics-code-check-latest/log
--
========== List of issues found ==========
++ echo 'Found 14 errors and 0 warnings.'
Found 14 errors and 0 warnings.
++ [[ 14 -gt 0 ]]
++ cat /sw/BUILD/dc3023d3964e40f78b5cd4b3ab8d2057b969d325/O2Physics-code-check/errors.txt
PWGEM/PhotonMeson/TableProducer/photonconversionbuilder.cxx:567:21: error: no header providing "o2::math_utils::Point3D" is directly included [misc-include-cleaner,-warnings-as-errors]
PWGEM/PhotonMeson/TableProducer/photonconversionbuilder.cxx:632:18: error: no header providing "o2::track::TrackAuxPar" is directly included [misc-include-cleaner,-warnings-as-errors]
PWGEM/PhotonMeson/TableProducer/photonconversionbuilder.cxx:662:7: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGEM/PhotonMeson/TableProducer/photonconversionbuilder.cxx:667:26: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGEM/PhotonMeson/TableProducer/photonconversionbuilder.cxx:685:11: error: do not use 'else' after 'break' [readability-else-after-return,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:33:10: error: inclusion of deprecated C++ header 'math.h'; consider using 'cmath' instead [modernize-deprecated-headers,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:40:12: error: redundant boolean literal in conditional return statement [readability-simplify-boolean-expr,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:41:5: error: do not use 'else' after 'return' [readability-else-after-return,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:62:235: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:116:130: error: no header providing "o2::math_utils::Point3D" is directly included [misc-include-cleaner,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:119:3: error: uninitialized record type: 'dca' [cppcoreguidelines-pro-type-member-init,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:172:20: error: no header providing "o2::soa::is_iterator" is directly included [misc-include-cleaner,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:193:3: error: uninitialized record type: 'trackP' [cppcoreguidelines-pro-type-member-init,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:203:87: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
++ [[ 0 -gt 0 ]]
++ [[ 14 -gt 0 ]]
++ exit 1
--

Full log here.

[mhemmer-cern]

Some of the code-check errors are take care of in PR #17285

[alibuild]

Error while checking build/O2Physics/code-check for 4753198 at 2026-08-03 10:36:

## sw/BUILD/O2Physics-code-check-latest/log
--
========== List of issues found ==========
++ echo 'Found 12 errors and 0 warnings.'
Found 12 errors and 0 warnings.
++ [[ 12 -gt 0 ]]
++ cat /sw/BUILD/794bae21c0f9311d57f262454ff1e4428f55f1f4/O2Physics-code-check/errors.txt
PWGEM/PhotonMeson/TableProducer/photonconversionbuilder.cxx:573:21: error: no header providing "o2::math_utils::Point3D" is directly included [misc-include-cleaner,-warnings-as-errors]
PWGEM/PhotonMeson/TableProducer/photonconversionbuilder.cxx:638:18: error: no header providing "o2::track::TrackAuxPar" is directly included [misc-include-cleaner,-warnings-as-errors]
PWGEM/PhotonMeson/TableProducer/photonconversionbuilder.cxx:684:11: error: do not use 'else' after 'break' [readability-else-after-return,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:33:10: error: inclusion of deprecated C++ header 'math.h'; consider using 'cmath' instead [modernize-deprecated-headers,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:40:12: error: redundant boolean literal in conditional return statement [readability-simplify-boolean-expr,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:41:5: error: do not use 'else' after 'return' [readability-else-after-return,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:62:235: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:116:130: error: no header providing "o2::math_utils::Point3D" is directly included [misc-include-cleaner,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:119:3: error: uninitialized record type: 'dca' [cppcoreguidelines-pro-type-member-init,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:166:20: error: no header providing "o2::soa::is_iterator" is directly included [misc-include-cleaner,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:181:3: error: uninitialized record type: 'trackP' [cppcoreguidelines-pro-type-member-init,-warnings-as-errors]
PWGEM/PhotonMeson/Utils/PCMUtilities.h:191:87: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
++ [[ 0 -gt 0 ]]
++ [[ 12 -gt 0 ]]
++ exit 1
--

Full log here.

[alibuild]

Auto-approving on behalf of @jokonig.