refactor: use mathematical constants from std::numbers

[AJPfleger]

blocked:

• chore(tests): brush over surface tests #3783

Asked co-pilot to summarise the PR:

Summary:

The pull request aims to refactor the code to use mathematical constants from the C++20 header, replacing existing instances of M_PI with std::numbers::pi. The changes span multiple files, primarily focusing on improving the consistency and modernity of mathematical constant usage across the codebase.

[github-actions]

📊: Physics performance monitoring for b85a07b

Full contents

physmon summary

• ✅ Particles fatras
• ✅ Particles geant4
• ✅ Particles ttbar
• ✅ Vertices ttbar
• ✅ Truth tracking (KF)
• ✅ Truth tracking (GSF)
• ✅ Truth tracking (GX2F)
• ✅ Truth tracking (KF refit)
• ✅ Truth tracking (GSF refit)
• ✅ CKF finding performance | trackfinding | single muon | truth smeared seeding
• ✅ CKF fitting performance | trackfinding | single muon | truth smeared seeding
• ✅ CKF track summary | trackfinding | single muon | truth smeared seeding
• ✅ Seeding trackfinding | single muon | truth estimated seeding
• ✅ CKF finding performance | trackfinding | single muon | truth estimated seeding
• ✅ CKF fitting performance | trackfinding | single muon | truth estimated seeding
• ✅ CKF track summary | trackfinding | single muon | truth estimated seeding
• ✅ Seeding trackfinding | single muon | default seeding
• ✅ CKF finding performance | trackfinding | single muon | default seeding
• ✅ CKF fitting performance | trackfinding | single muon | default seeding
• ✅ CKF track summary | trackfinding | single muon | default seeding
• ✅ Seeding trackfinding | single muon | orthogonal seeding
• ✅ CKF finding performance | trackfinding | single muon | orthogonal seeding
• ✅ CKF fitting performance | trackfinding | single muon | orthogonal seeding
• ✅ CKF track summary | trackfinding | single muon | orthogonal seeding
• ✅ Seeding trackfinding | 4 muon x 50 vertices | default seeding
• ✅ CKF finding performance | trackfinding | 4 muon x 50 vertices | default seeding
• ✅ CKF fitting performance | trackfinding | 4 muon x 50 vertices | default seeding
• ✅ CKF track summary | trackfinding | 4 muon x 50 vertices | default seeding
• ✅ Ambisolver finding performance | trackfinding | 4 muon x 50 vertices | default seeding
• ✅ IVF notime | trackfinding | 4 muon x 50 vertices | default seeding
• ✅ AMVF gauss notime | trackfinding | 4 muon x 50 vertices | default seeding
• ✅ AMVF grid time | trackfinding | 4 muon x 50 vertices | default seeding
• ✅ Seeding trackfinding | ttbar with 200 pileup | default seeding
• ✅ CKF finding performance | trackfinding | ttbar with 200 pileup | default seeding
• ✅ CKF fitting performance | trackfinding | ttbar with 200 pileup | default seeding
• ✅ CKF track summary | trackfinding | ttbar with 200 pileup | default seeding
• ✅ Ambisolver finding performance | trackfinding | ttbar with 200 pileup | default seeding
• ✅ AMVF gauss notime | trackfinding | ttbar with 200 pileup | default seeding
• ✅ AMVF grid time | trackfinding | ttbar with 200 pileup | default seeding

[AJPfleger]

We had the discussion, if 0.5 * pi should be preferred over pi / 2 for higher performance. It seems, that also the division will be converted to a multiplication during compiletime.

Thanks @andiwand for checking:
https://godbolt.org/z/48EE9oTGE

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[asalzburger]

Great work, went through all 202 files, which is a bit annoying that after 150 it actually needs loading diff instructions for every file.

I left a few comments more to follow=up.

[CarloVarni]

@AJPfleger some comments from my side. As a general rule though (just a tip): 100 small PRs are much better than a single giant PR.

Small PRs are much easier to review (review time is very small, and I see that reviewers have the tendency to delay big PRs) and smaller chance of merge conflicts.

[asalzburger]

Do you wanna make a lint check for this?

[AJPfleger]

Do you wanna make a lint check for this?

I prepared a check:

• ci: Add check for mathematical constants (no macros) #3774

That one only checks for macros. I tried to also replace values like 3.14 but there we get from particle tables and similar false positives.

[sonarcloud]

Quality Gate passed

Issues
16 New issues
0 Accepted issues

Measures
0 Security Hotspots
50.5% Coverage on New Code
0.3% Duplication on New Code

See analysis details on SonarCloud