Feature/ddceler covfie fieldmap#2298
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rahmans1 wants to merge 9 commits intoceleritas-project:developfrom
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Feature/ddceler covfie fieldmap#2298rahmans1 wants to merge 9 commits intoceleritas-project:developfrom
rahmans1 wants to merge 9 commits intoceleritas-project:developfrom
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Extend CelerPhysics with a FieldMapFile property that, when set, loads a binary covfie field map (affine→nearest_neighbour→strided→array pipeline, cm/T units) via LoadCovfieField and configures a CartMapFieldAlongStepFactory instead of the uniform-field path. Guarded by CELERITAS_USE_covfie; the uniform ConstantField path is preserved as the default when FieldMapFile is empty. - CelerPhysics: add FieldMapFile property, covfie branch in make_options() - CMakeLists: conditionally compile LoadCovfieField.covfie.cc and link covfie - steeringFile.py: document the new FieldMapFile property 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <noreply@anthropic.com>
…ge the deserialization pipeline from nearest_neighbour to linear interpolation to match the actual format written by the covfie convert_bfield tool. Also read grid node values directly from the strided backend instead of querying through the linear interpolator, which would access out-of-bounds neighbors at grid boundaries.
…lize covfie files with the affine → linear → strided(size2) → array(float2) pipeline, and convert to RZMapFieldInput for use with Celeritas RZMapFieldAlongStepFactory. Grid node values are read directly from the strided backend to avoid out-of-bounds access from the linear interpolation layer at boundaries.
… When FieldMapCoordType is BrBz, use LoadCovfieFieldBrBz with RZMapFieldAlongStepFactory. When BxByBz (default), use the existing LoadCovfieField with CartMapFieldAlongStepFactory. The BrBz path also dumps the loaded RZMapFieldInput to rzmap-field-dump.json for diagnostic verification.
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Tried to load ePIC field maps with simple example eic/epic#934. https://github.com/eic/epic-data/blob/5a853e4e19f2072db725f1c96a97b2f7198c6a4b/MARCO_v.7.6.2.2.11_1.7T_Magnetic_Field_Map_2024_05_02_rad_coords_cm_T.BMap.covfie |
sethrj
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enhancement
Test summary 2 064 files 3 327 suites 1m 10s ⏱️ Results for commit 2426885. ♻️ This comment has been updated with latest results. |
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added 3 commits
March 4, 2026 23:27
… is enabled, RZMapField uses covfie for storage and bilinear interpolation on the R-Z grid, with CUDA texture acceleration on GPU. When covfie is disabled, the existing Celeritas interpolation via UniformGrid and Collection is unchanged.
…RZMapFieldMscAction into the covfie/non-covfie CMake branches, mirroring AlongStepCartMapFieldMscAction. Previously it was compiled unconditionally via celeritas_polysource but its .cu file includes covfie headers through RZMapField.hh, causing an undefined fatbin symbol at runtime when covfie+CUDA is enabled.
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When covfie is enabled, Non-covfie interpolation (
|
| Sample point (cm) | Component | Non-covfie | Covfie (bilinear) | Relative difference |
|---|---|---|---|---|
| r=16.97, z=25 | Br | −6.72e−05 | +7.89e−04 | 12.7× (sign flip) |
| r=50.91, z=75 | Br | −2.02e−04 | +7.50e−03 | 38.2× (sign flip) |
| r=84.85, z=125 | Br | +1.68e−02 | +2.11e−02 | 25.9 % |
| r=118.79, z=175 | Br | +2.35e−02 | +4.01e−02 | 70.7 % |
| r=16.97, z=25 | Bz | 3.8062 | 3.8078 | 0.04 % |
The Br differences are large because Br has steep gradients along z (e.g., Br goes from ~0 at z=0 to 0.02 at z=100 cm). The 1D scheme interpolates Br only along r and ignores the z variation entirely, while bilinear mixes in the large neighbouring z-values.
Grid refinement does not resolve this
Refining the grid reduces the discrepancy but convergence is slow for Br:
| Refinement | Grid spacing | Max Br relative diff |
|---|---|---|
| 1× (original) | 100 cm | 47× |
| 4× | 25 cm | 74 % |
| 16× | 6.25 cm | 13 % |
| 32× | 3.12 cm | 3.8 % |
What is done for other Celeritas field maps?
The other Celeritas field maps use full multilinear interpolation:
CylMapField(3D cylindrical): trilinear interpolation on all componentsCartMapField(3D Cartesian via covfie): trilinear interpolation on all components
The non-covfie RZMapField 1D-per-component scheme is the outlier.
Affected tests
RZMapFieldTest.all: expected values were generated from the non-covfie 1D interpolation. Fails when covfie is enabled.RZMapFieldTest.device(new): compares device output against host covfie output, so it is self-consistent regardless of which scheme is used. But the precision threshold should be examined closely.
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RZMapField Interpolation Discrepancy ReportInput: Two interpolation methods are compared:
1. CTest sample points (
|
| i | x | y | z | r | Bx default | Bx covfie | Bx rel% | Bz default | Bz covfie | Bz rel% |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0.0 | -0.000000e+00 | 0.000000e+00 | 0.00 | 3.811202e+00 | 3.811202e+00 | 0.00 |
| 1 | 12 | 12 | 25 | 17.0 | -4.752282e-05 | 5.577305e-04 | 108.52 | 3.806211e+00 | 3.807820e+00 | 0.04 |
| 2 | 24 | 24 | 50 | 33.9 | -9.504563e-05 | 2.325968e-03 | 104.09 | 3.801220e+00 | 3.804498e+00 | 0.09 |
| 3 | 36 | 36 | 75 | 50.9 | -1.425685e-04 | 5.304711e-03 | 102.69 | 3.796229e+00 | 3.801236e+00 | 0.13 |
| 4 | 48 | 48 | 100 | 67.9 | 9.493961e-03 | 9.493961e-03 | 0.00 | 3.791239e+00 | 3.798033e+00 | 0.18 |
| 5 | 60 | 60 | 125 | 84.9 | 1.186745e-02 | 1.493891e-02 | 20.56 | 3.775991e+00 | 3.784962e+00 | 0.24 |
| 6 | 72 | 72 | 150 | 101.8 | 1.424099e-02 | 2.153777e-02 | 33.88 | 3.771880e+00 | 3.772388e+00 | 0.01 |
| 7 | 84 | 84 | 175 | 118.8 | 1.661489e-02 | 2.835992e-02 | 41.41 | 3.757196e+00 | 3.762944e+00 | 0.15 |
Points with >1% discrepancy: [1, 2, 3, 5, 6, 7]
Cell corner details
ctest i=1: pos=(12.0, 12.0, 25.0) cm, r=16.97 cm
- Cell: ir=0 (r=[0, 100]), iz=16 (z=[0, 100])
- Fractions: fr=0.1697, fz=0.2500
- Br corners:
[-0.000000, 0.000000, -0.000396, 0.019779] - Bz corners:
[3.811202, 3.791239, 3.820508, 3.801247] - Br variation: along r=0.000396, along z=0.000000
- Bz variation: along r=0.009305, along z=0.019964
ctest i=2: pos=(24.0, 24.0, 50.0) cm, r=33.94 cm
- Cell: ir=0 (r=[0, 100]), iz=16 (z=[0, 100])
- Fractions: fr=0.3394, fz=0.5000
- Br corners:
[-0.000000, 0.000000, -0.000396, 0.019779] - Bz corners:
[3.811202, 3.791239, 3.820508, 3.801247] - Br variation: along r=0.000396, along z=0.000000
- Bz variation: along r=0.009305, along z=0.019964
ctest i=3: pos=(36.0, 36.0, 75.0) cm, r=50.91 cm
- Cell: ir=0 (r=[0, 100]), iz=16 (z=[0, 100])
- Fractions: fr=0.5091, fz=0.7500
- Br corners:
[-0.000000, 0.000000, -0.000396, 0.019779] - Bz corners:
[3.811202, 3.791239, 3.820508, 3.801247] - Br variation: along r=0.000396, along z=0.000000
- Bz variation: along r=0.009305, along z=0.019964
ctest i=5: pos=(60.0, 60.0, 125.0) cm, r=84.85 cm
- Cell: ir=0 (r=[0, 100]), iz=17 (z=[100, 200])
- Fractions: fr=0.8485, fz=0.2500
- Br corners:
[0.000000, 0.000000, 0.019779, 0.040255] - Bz corners:
[3.791239, 3.730250, 3.801247, 3.742513] - Br variation: along r=0.019779, along z=0.000000
- Bz variation: along r=0.010009, along z=0.060988
ctest i=6: pos=(72.0, 72.0, 150.0) cm, r=101.82 cm
- Cell: ir=1 (r=[100, 200]), iz=17 (z=[100, 200])
- Fractions: fr=0.0182, fz=0.5000
- Br corners:
[0.019779, 0.040255, 0.039562, 0.068925] - Bz corners:
[3.801247, 3.742513, 3.823576, 3.775848] - Br variation: along r=0.019783, along z=0.020476
- Bz variation: along r=0.022329, along z=0.058735
ctest i=7: pos=(84.0, 84.0, 175.0) cm, r=118.79 cm
- Cell: ir=1 (r=[100, 200]), iz=17 (z=[100, 200])
- Fractions: fr=0.1879, fz=0.7500
- Br corners:
[0.019779, 0.040255, 0.039562, 0.068925] - Bz corners:
[3.801247, 3.742513, 3.823576, 3.775848] - Br variation: along r=0.019783, along z=0.020476
- Bz variation: along r=0.022329, along z=0.058735
2. High-r, low-z scan
Sweep r from 100 cm to near max_r at small z values, where Br cross-gradients (dBr/dz) tend to be largest.
| z | r | Bx default | Bx covfie | Bx rel% | Bz default | Bz covfie | Bz rel% |
|---|---|---|---|---|---|---|---|
| 0 | 100 | -3.960235e-04 | -3.960235e-04 | 0.00 | 3.820508e+00 | 3.820508e+00 | 0.00 |
| 0 | 207 | -6.430123e-04 | -6.430123e-04 | 0.00 | 3.850628e+00 | 3.856172e+00 | 0.14 |
| 0 | 314 | -8.830837e-04 | -8.830837e-04 | 0.00 | 3.928247e+00 | 3.120906e+00 | 20.55 |
| 0 | 421 | -8.929423e-04 | -8.929423e-04 | 0.00 | -1.723144e+00 | -1.354584e+00 | 21.39 |
| 0 | 529 | -4.972557e-05 | -4.972557e-05 | 0.00 | -3.196663e-03 | -2.629825e-03 | 17.73 |
| 0 | 636 | 1.648416e-04 | 1.648416e-04 | 0.00 | -1.212732e-03 | -1.293706e-03 | 6.26 |
| 0 | 743 | 3.168276e-04 | 3.168276e-04 | 0.00 | -1.439460e-03 | -1.594596e-02 | 90.97 |
| 0 | 850 | 1.200145e-04 | 1.200145e-04 | 0.00 | -3.528795e-02 | -1.764398e-02 | 50.00 |
| 10 | 100 | -3.960235e-04 | 1.621487e-03 | 124.42 | 3.818582e+00 | 3.818582e+00 | 0.00 |
| 10 | 207 | -6.430123e-04 | 3.908262e-03 | 116.45 | 3.847923e+00 | 3.853035e+00 | 0.13 |
| 10 | 314 | -8.830837e-04 | 9.129344e-03 | 109.67 | 3.919496e+00 | 3.120113e+00 | 20.40 |
| 10 | 421 | -8.929423e-04 | -6.534694e-04 | 26.82 | -1.676185e+00 | -1.318590e+00 | 21.33 |
| 10 | 529 | -4.972557e-05 | -3.738424e-03 | 98.67 | -7.407263e-03 | -5.989080e-03 | 19.15 |
| 10 | 636 | 1.648416e-04 | -5.398301e-03 | 103.05 | -2.443621e-03 | -2.103990e-03 | 13.90 |
| 10 | 743 | 3.168276e-04 | -4.440516e-03 | 107.13 | -1.492655e-03 | -1.663001e-02 | 91.02 |
| 10 | 850 | 1.200145e-04 | -8.487906e-05 | 170.72 | -3.681314e-02 | -1.840657e-02 | 50.00 |
| 25 | 100 | -3.960235e-04 | 4.647754e-03 | 108.52 | 3.815693e+00 | 3.815693e+00 | 0.00 |
| 25 | 207 | -6.430123e-04 | 1.073517e-02 | 105.99 | 3.843865e+00 | 3.848329e+00 | 0.12 |
| 25 | 314 | -8.830837e-04 | 2.414798e-02 | 103.66 | 3.906368e+00 | 3.118923e+00 | 20.16 |
| 25 | 421 | -8.929423e-04 | -2.942599e-04 | 67.05 | -1.605747e+00 | -1.264599e+00 | 21.25 |
| 25 | 529 | -4.972557e-05 | -9.271471e-03 | 99.46 | -1.372316e-02 | -1.102796e-02 | 19.64 |
| 25 | 636 | 1.648416e-04 | -1.374301e-02 | 101.20 | -4.289954e-03 | -3.319416e-03 | 22.62 |
| 25 | 743 | 3.168276e-04 | -1.157653e-02 | 102.74 | -1.572447e-03 | -1.765608e-02 | 91.09 |
| 25 | 850 | 1.200145e-04 | -3.922194e-04 | 130.60 | -3.910092e-02 | -1.955046e-02 | 50.00 |
| 50 | 100 | -3.960235e-04 | 9.691531e-03 | 104.09 | 3.810878e+00 | 3.810878e+00 | 0.00 |
| 50 | 207 | -6.430123e-04 | 2.211336e-02 | 102.91 | 3.837102e+00 | 3.840487e+00 | 0.09 |
| 50 | 314 | -8.830837e-04 | 4.917905e-02 | 101.80 | 3.884488e+00 | 3.116940e+00 | 19.76 |
| 50 | 421 | -8.929423e-04 | 3.044225e-04 | 134.09 | -1.488350e+00 | -1.174614e+00 | 21.08 |
| 50 | 529 | -4.972557e-05 | -1.849322e-02 | 99.73 | -2.424966e-02 | -1.942610e-02 | 19.89 |
| 50 | 636 | 1.648416e-04 | -2.765087e-02 | 100.60 | -7.367177e-03 | -5.345126e-03 | 27.45 |
| 50 | 743 | 3.168276e-04 | -2.346989e-02 | 101.35 | -1.705434e-03 | -1.936620e-02 | 91.19 |
| 50 | 850 | 1.200145e-04 | -9.044534e-04 | 113.27 | -4.291389e-02 | -2.145695e-02 | 50.00 |
Discrepancies
- Bx: 170.7% at z=10, r=850 cm (abs diff: 2.048936e-04 T)
- Bz: 91.2% at z=50, r=743 cm (abs diff: 1.766077e-02 T)
Bx peak (z=10, r=850): pos=(850.0, 0.0, 10.0) cm, r=850.00 cm
- Cell: ir=8 (r=[800, 900]), iz=16 (z=[0, 100])
- Fractions: fr=0.5000, fz=0.1000
- Br corners:
[0.000240, -0.003858, 0.000000, 0.000000] - Bz corners:
[-0.035288, -0.050540, 0.000000, 0.000000] - Br variation: along r=0.000240, along z=0.004098
- Bz variation: along r=0.035288, along z=0.015252
Bz peak (z=50, r=743): pos=(742.9, 0.0, 50.0) cm, r=742.86 cm
- Cell: ir=7 (r=[700, 800]), iz=16 (z=[0, 100])
- Fractions: fr=0.4286, fz=0.5000
- Br corners:
[0.000374, -0.079806, 0.000240, -0.003858] - Bz corners:
[-0.001439, -0.001971, -0.035288, -0.050540] - Br variation: along r=0.000134, along z=0.080180
- Bz variation: along r=0.033848, along z=0.000532
3. Gradient statistics
| Gradient | Max |grad| (T/cm) | Used by |
|----------|--------------------:|---------|
| dBr/dr | 0.009172 | Default Celeritas |
| dBr/dz | 0.009415 | Covfie bilinear (cross-term) |
| dBz/dz | 0.015453 | Default Celeritas |
| dBz/dr | 0.027869 | Covfie bilinear (cross-term) |
Cross/along gradient ratio (Br): 1.0x
Cross/along gradient ratio (Bz): 1.8x
When the cross-gradient ratio is >= 1, the 1D interpolation is missing variation comparable to or larger than what it captures.
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RZMapField Interpolation Discrepancy Report for realistic ePIC experiment field mapInput: Two interpolation methods are compared:
1. CTest sample points (
|
| i | x | y | z | r | Bx default | Bx covfie | Bx rel% | Bz default | Bz covfie | Bz rel% |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0.0 | 0.000000e+00 | 0.000000e+00 | 0.00 | -1.706300e+04 | -1.706300e+04 | 0.00 |
| 1 | 12 | 12 | 25 | 17.0 | -9.494975e+01 | -9.758579e+01 | 2.70 | -1.683750e+04 | -1.684138e+04 | 0.02 |
| 2 | 24 | 24 | 50 | 33.9 | -3.402635e+02 | -3.402635e+02 | 0.00 | -1.637700e+04 | -1.639350e+04 | 0.10 |
| 3 | 36 | 36 | 75 | 50.9 | -7.320833e+02 | -7.424350e+02 | 1.39 | -1.570850e+04 | -1.572149e+04 | 0.08 |
| 4 | 48 | 48 | 100 | 67.9 | -1.336097e+03 | -1.336097e+03 | 0.00 | -1.476500e+04 | -1.480359e+04 | 0.26 |
| 5 | 60 | 60 | 125 | 84.9 | -2.149476e+03 | -2.166696e+03 | 0.79 | -1.349350e+04 | -1.351525e+04 | 0.16 |
| 6 | 72 | 72 | 150 | 101.8 | -3.241183e+03 | -3.241183e+03 | 0.00 | -1.147600e+04 | -1.150609e+04 | 0.26 |
| 7 | 84 | 84 | 175 | 118.8 | -4.181714e+03 | -4.152946e+03 | 0.69 | -8.136500e+03 | -8.104346e+03 | 0.40 |
Points with >1% discrepancy: [1, 3]
Cell corner details
ctest i=1: pos=(12.0, 12.0, 25.0) cm, r=16.97 cm
- Cell: ir=8 (r=[16, 18]), iz=412 (z=[24, 26])
- Fractions: fr=0.4853, fz=0.5000
- Br corners:
[-126.999998, -132.999998, -142.000001, -151.000004] - Bz corners:
[-16854.000092, -16821.000576, -16861.000061, -16829.999685] - Br variation: along r=15.000002, along z=5.999999
- Bz variation: along r=6.999969, along z=32.999516
ctest i=3: pos=(36.0, 36.0, 75.0) cm, r=50.91 cm
- Cell: ir=25 (r=[50, 52]), iz=437 (z=[74, 76])
- Fractions: fr=0.4558, fz=0.5000
- Br corners:
[-1018.000022, -1045.000032, -1055.999994, -1088.000014] - Bz corners:
[-15749.000311, -15667.999983, -15778.000355, -15695.999861] - Br variation: along r=37.999973, along z=27.000010
- Bz variation: along r=29.000044, along z=81.000328
Active field region (|B| > 50.0 Gauss): z in [-454, 508] cm, r in [0, 366] cm
2. On-axis (r < 50 cm)
Small radius across the active z range.
| z | r | Bx default | Bx covfie | Bx rel% | Bz default | Bz covfie | Bz rel% |
|---|---|---|---|---|---|---|---|
| -367 | 5 | 3.200000e+01 | 3.272727e+01 | 2.22 | -1.705636e+03 | -1.705136e+03 | 0.03 |
| -367 | 15 | 9.600000e+01 | 9.854545e+01 | 2.58 | -1.694909e+03 | -1.693045e+03 | 0.11 |
| -367 | 25 | 1.585000e+02 | 1.632273e+02 | 2.90 | -1.672182e+03 | -1.669182e+03 | 0.18 |
| -367 | 50 | 3.060000e+02 | 3.147273e+02 | 2.77 | -1.557455e+03 | -1.557455e+03 | 0.00 |
| -279 | 5 | 1.080000e+02 | 1.077727e+02 | 0.21 | -4.024091e+03 | -4.022864e+03 | 0.03 |
| -279 | 15 | 3.185000e+02 | 3.212273e+02 | 0.85 | -4.004545e+03 | -4.001364e+03 | 0.08 |
| -279 | 25 | 5.285000e+02 | 5.335000e+02 | 0.94 | -3.963636e+03 | -3.958136e+03 | 0.14 |
| -279 | 50 | 1.047000e+03 | 1.057000e+03 | 0.95 | -3.749636e+03 | -3.749636e+03 | 0.00 |
| -192 | 5 | 1.825000e+02 | 1.825000e+02 | 0.00 | -9.308545e+03 | -9.308136e+03 | 0.00 |
| -192 | 15 | 5.480000e+02 | 5.482727e+02 | 0.05 | -9.304727e+03 | -9.304318e+03 | 0.00 |
| -192 | 25 | 9.205000e+02 | 9.208636e+02 | 0.04 | -9.298091e+03 | -9.297091e+03 | 0.01 |
| -192 | 50 | 1.904000e+03 | 1.904909e+03 | 0.05 | -9.256909e+03 | -9.256909e+03 | 0.00 |
| -104 | 5 | 1.180000e+02 | 1.170909e+02 | 0.77 | -1.492246e+04 | -1.492400e+04 | 0.01 |
| -104 | 15 | 3.560000e+02 | 3.500909e+02 | 1.66 | -1.494645e+04 | -1.495000e+04 | 0.02 |
| -104 | 25 | 5.940000e+02 | 5.835455e+02 | 1.76 | -1.499545e+04 | -1.500200e+04 | 0.04 |
| -104 | 50 | 1.192000e+03 | 1.166545e+03 | 2.14 | -1.525245e+04 | -1.525245e+04 | 0.00 |
| -17 | 5 | 1.050000e+01 | 8.590909e+00 | 18.18 | -1.707345e+04 | -1.707445e+04 | 0.01 |
| -17 | 15 | 3.150000e+01 | 2.672727e+01 | 15.15 | -1.709445e+04 | -1.709795e+04 | 0.02 |
| -17 | 25 | 5.100000e+01 | 4.336364e+01 | 14.97 | -1.713945e+04 | -1.714514e+04 | 0.03 |
| -17 | 50 | 1.010000e+02 | 8.636363e+01 | 14.49 | -1.736409e+04 | -1.736409e+04 | 0.00 |
| 71 | 5 | -9.850000e+01 | -9.940909e+01 | 0.91 | -1.554927e+04 | -1.555032e+04 | 0.01 |
| 71 | 15 | -2.920000e+02 | -2.943636e+02 | 0.80 | -1.557127e+04 | -1.557527e+04 | 0.03 |
| 71 | 25 | -4.850000e+02 | -4.897273e+02 | 0.97 | -1.562164e+04 | -1.562832e+04 | 0.04 |
| 71 | 50 | -9.630000e+02 | -9.731818e+02 | 1.05 | -1.587800e+04 | -1.587800e+04 | 0.00 |
| 158 | 5 | -1.815000e+02 | -1.815455e+02 | 0.03 | -1.035882e+04 | -1.035882e+04 | 0.00 |
| 158 | 15 | -5.470000e+02 | -5.470909e+02 | 0.02 | -1.036164e+04 | -1.036168e+04 | 0.00 |
| 158 | 25 | -9.185000e+02 | -9.185909e+02 | 0.01 | -1.036655e+04 | -1.036750e+04 | 0.01 |
| 158 | 50 | -1.905000e+03 | -1.905273e+03 | 0.01 | -1.039445e+04 | -1.039445e+04 | 0.00 |
| 246 | 5 | -1.180000e+02 | -1.151364e+02 | 2.43 | -4.808091e+03 | -4.807500e+03 | 0.01 |
| 246 | 15 | -3.540000e+02 | -3.478636e+02 | 1.73 | -4.786909e+03 | -4.783409e+03 | 0.07 |
| 246 | 25 | -5.885000e+02 | -5.795000e+02 | 1.53 | -4.740909e+03 | -4.734500e+03 | 0.14 |
| 246 | 50 | -1.177000e+03 | -1.155727e+03 | 1.81 | -4.503091e+03 | -4.503091e+03 | 0.00 |
| 333 | 5 | -3.300000e+01 | -3.381818e+01 | 2.42 | -2.408273e+03 | -2.408273e+03 | 0.00 |
| 333 | 15 | -9.250000e+01 | -9.140909e+01 | 1.18 | -2.409455e+03 | -2.408500e+03 | 0.04 |
| 333 | 25 | -1.385000e+02 | -1.346818e+02 | 2.76 | -2.392636e+03 | -2.389136e+03 | 0.15 |
| 333 | 50 | -2.440000e+02 | -2.347273e+02 | 3.80 | -2.233727e+03 | -2.233727e+03 | 0.00 |
| 421 | 15 | -1.300000e+01 | -1.286364e+01 | 1.05 | -1.232636e+03 | -1.232500e+03 | 0.01 |
| 421 | 25 | -1.165000e+02 | -1.158182e+02 | 0.59 | -1.222636e+03 | -1.221136e+03 | 0.12 |
| 421 | 50 | -3.020000e+02 | -3.009091e+02 | 0.36 | -1.140182e+03 | -1.140182e+03 | 0.00 |
9 points with |B| < 50.0 Gauss omitted.
Discrepancies
- Bx: 18.2% at z=-17, r=5 cm (abs diff: 1.909091e+00 Gauss)
- Bz: 0.2% at z=-367, r=25 cm (abs diff: 2.999976e+00 Gauss)
Bx discrepancy (z=-17, r=5): pos=(5.0, 0.0, -16.7) cm, r=5.00 cm
- Cell: ir=2 (r=[4, 6]), iz=391 (z=[-18, -16])
- Fractions: fr=0.5000, fz=0.6364
- Br corners:
[9.000000, 6.000000, 12.000001, 9.000000] - Bz corners:
[-17069.000006, -17075.999975, -17071.000338, -17078.000307] - Br variation: along r=3.000001, along z=3.000000
- Bz variation: along r=2.000332, along z=6.999969
Bz discrepancy (z=-367, r=25): pos=(25.0, 0.0, -366.5) cm, r=25.00 cm
- Cell: ir=12 (r=[24, 26]), iz=216 (z=[-368, -366])
- Fractions: fr=0.5000, fz=0.7273
- Br corners:
[152.000003, 159.000009, 164.999999, 171.000008] - Bz corners:
[-1653.999984, -1678.999960, -1648.000032, -1673.000008] - Br variation: along r=12.999997, along z=7.000007
- Bz variation: along r=5.999953, along z=24.999976
3. Solenoid barrel boundary
Radial transition region where field strength changes rapidly.
| z | r | Bx default | Bx covfie | Bx rel% | Bz default | Bz covfie | Bz rel% |
|---|---|---|---|---|---|---|---|
| -367 | 100 | 5.270000e+02 | 5.422727e+02 | 2.82 | -1.137364e+03 | -1.137364e+03 | 0.00 |
| -367 | 117 | 5.660000e+02 | 5.827273e+02 | 2.87 | -9.594545e+02 | -9.517879e+02 | 0.80 |
| -367 | 133 | 5.810000e+02 | 5.989394e+02 | 3.00 | -7.685455e+02 | -7.525454e+02 | 2.08 |
| -367 | 150 | 5.670000e+02 | 5.851818e+02 | 3.11 | -5.469091e+02 | -5.469091e+02 | 0.00 |
| -367 | 167 | 5.203333e+02 | 5.370606e+02 | 3.11 | -3.532727e+02 | -3.456970e+02 | 2.14 |
| -367 | 183 | 4.390000e+02 | 4.528182e+02 | 3.05 | -1.799091e+02 | -1.672424e+02 | 7.04 |
| -367 | 200 | 3.380000e+02 | 3.474546e+02 | 2.72 | -3.245455e+01 | -3.245455e+01 | 0.00 |
| -367 | 217 | 2.276667e+02 | 2.397879e+02 | 5.05 | 8.190909e+01 | 8.754546e+01 | 6.44 |
| -367 | 233 | 6.166667e+01 | 5.487879e+01 | 11.01 | 9.300000e+01 | 8.669697e+01 | 6.78 |
| -279 | 100 | 1.968000e+03 | 1.990273e+03 | 1.12 | -2.864273e+03 | -2.864273e+03 | 0.00 |
| -279 | 117 | 2.197667e+03 | 2.223424e+03 | 1.16 | -2.443636e+03 | -2.424818e+03 | 0.77 |
| -279 | 133 | 2.361000e+03 | 2.389485e+03 | 1.19 | -1.967091e+03 | -1.925515e+03 | 2.11 |
| -279 | 150 | 2.447000e+03 | 2.477000e+03 | 1.21 | -1.389273e+03 | -1.389273e+03 | 0.00 |
| -279 | 167 | 2.451667e+03 | 2.480758e+03 | 1.17 | -8.693636e+02 | -8.482121e+02 | 2.43 |
| -279 | 183 | 2.373667e+03 | 2.400182e+03 | 1.10 | -3.759091e+02 | -3.370000e+02 | 10.35 |
| -279 | 200 | 2.182000e+03 | 2.203818e+03 | 0.99 | 8.063636e+02 | 8.063636e+02 | 0.00 |
| -279 | 217 | 1.831000e+03 | 1.844333e+03 | 0.72 | 1.109545e+03 | 1.119182e+03 | 0.86 |
| -279 | 233 | 1.387000e+03 | 1.395333e+03 | 0.60 | 1.301454e+03 | 1.313091e+03 | 0.89 |
| -279 | 250 | 9.000000e+02 | 9.040909e+02 | 0.45 | 1.426091e+03 | 1.426091e+03 | 0.00 |
| -192 | 100 | 4.474000e+03 | 4.478000e+03 | 0.09 | -8.963273e+03 | -8.963273e+03 | 0.00 |
| -192 | 117 | 5.764333e+03 | 5.772879e+03 | 0.15 | -8.677727e+03 | -8.660727e+03 | 0.20 |
| -192 | 133 | 7.601000e+03 | 7.626939e+03 | 0.34 | -8.012364e+03 | -7.913939e+03 | 1.23 |
| -192 | 150 | 9.926000e+03 | 1.005018e+04 | 1.24 | -5.005364e+03 | -5.005364e+03 | 0.00 |
| -192 | 167 | 8.152666e+03 | 8.190424e+03 | 0.46 | -1.048273e+03 | -9.804242e+02 | 6.47 |
| -192 | 183 | 6.285333e+03 | 6.291394e+03 | 0.10 | -1.567273e+02 | -1.298788e+02 | 17.13 |
| -192 | 200 | 5.106000e+03 | 5.103636e+03 | 0.05 | 4.089818e+03 | 4.089818e+03 | 0.00 |
| -192 | 217 | 3.451333e+03 | 3.448182e+03 | 0.09 | 4.528818e+03 | 4.538970e+03 | 0.22 |
| -192 | 233 | 2.296333e+03 | 2.293606e+03 | 0.12 | 4.725545e+03 | 4.737970e+03 | 0.26 |
| -192 | 250 | 1.371000e+03 | 1.369182e+03 | 0.13 | 4.852727e+03 | 4.852727e+03 | 0.00 |
| -104 | 100 | 2.313000e+03 | 2.252091e+03 | 2.63 | -1.638145e+04 | -1.638145e+04 | 0.00 |
| -104 | 117 | 2.582333e+03 | 2.504454e+03 | 3.02 | -1.697873e+04 | -1.700715e+04 | 0.17 |
| -104 | 133 | 2.738000e+03 | 2.634667e+03 | 3.77 | -1.775027e+04 | -1.782567e+04 | 0.42 |
| -104 | 150 | 2.812000e+03 | 2.684727e+03 | 4.53 | -1.889009e+04 | -1.889009e+04 | 0.00 |
| -104 | 167 | 2.863667e+03 | 2.737909e+03 | 4.39 | 1.075273e+03 | 1.029818e+03 | 4.23 |
| -104 | 183 | 2.715333e+03 | 2.602909e+03 | 4.14 | 2.909091e+01 | 5.555636e+03 | 99.48 |
| -104 | 200 | 2.141000e+03 | 2.063727e+03 | 3.61 | 8.215455e+03 | 8.215455e+03 | 0.00 |
| -104 | 217 | 1.614667e+03 | 1.567697e+03 | 2.91 | 8.128909e+03 | 8.125546e+03 | 0.04 |
| -104 | 233 | 1.131000e+03 | 1.100091e+03 | 2.73 | 8.064000e+03 | 8.060606e+03 | 0.04 |
| -104 | 250 | 6.950000e+02 | 6.768182e+02 | 2.62 | 8.026000e+03 | 8.026000e+03 | 0.00 |
| -17 | 100 | 2.080000e+02 | 1.780909e+02 | 14.38 | -1.824109e+04 | -1.824109e+04 | 0.00 |
| -17 | 117 | 2.550000e+02 | 2.176667e+02 | 14.64 | -1.866373e+04 | -1.868361e+04 | 0.11 |
| -17 | 133 | 3.060000e+02 | 2.606061e+02 | 14.83 | -1.917873e+04 | -1.922606e+04 | 0.25 |
| -17 | 150 | 3.370000e+02 | 2.867273e+02 | 14.92 | -1.986018e+04 | -1.986018e+04 | 0.00 |
| -17 | 167 | 3.270000e+02 | 2.782121e+02 | 14.92 | 6.043636e+02 | 5.790303e+02 | 4.19 |
| -17 | 183 | 2.946667e+02 | 2.511818e+02 | 14.76 | 1.900000e+01 | 6.162879e+03 | 99.69 |
| -17 | 200 | 2.280000e+02 | 1.949091e+02 | 14.51 | 9.164545e+03 | 9.164545e+03 | 0.00 |
| -17 | 217 | 1.763333e+02 | 1.508788e+02 | 14.44 | 9.112546e+03 | 9.110667e+03 | 0.02 |
| -17 | 233 | 1.180000e+02 | 1.016667e+02 | 13.84 | 9.046182e+03 | 9.041091e+03 | 0.06 |
| -17 | 250 | 7.200000e+01 | 6.245455e+01 | 13.26 | 8.991545e+03 | 8.991545e+03 | 0.00 |
| 71 | 100 | -1.790000e+03 | -1.811455e+03 | 1.18 | -1.692118e+04 | -1.692118e+04 | 0.00 |
| 71 | 117 | -1.921333e+03 | -1.945576e+03 | 1.25 | -1.741273e+04 | -1.743479e+04 | 0.13 |
| 71 | 133 | -1.833667e+03 | -1.868212e+03 | 1.85 | -1.801718e+04 | -1.807858e+04 | 0.34 |
| 71 | 150 | -1.551000e+03 | -1.609909e+03 | 3.66 | -1.914636e+04 | -1.914636e+04 | 0.00 |
| 71 | 167 | -1.739000e+03 | -1.780091e+03 | 2.31 | 7.631818e+02 | 7.262424e+02 | 4.84 |
| 71 | 183 | -1.777333e+03 | -1.805818e+03 | 1.58 | 2.072727e+01 | 5.704364e+03 | 99.64 |
| 71 | 200 | -1.478000e+03 | -1.498727e+03 | 1.38 | 8.447636e+03 | 8.447636e+03 | 0.00 |
| 71 | 217 | -1.167333e+03 | -1.184061e+03 | 1.41 | 8.391182e+03 | 8.389515e+03 | 0.02 |
| 71 | 233 | -8.590000e+02 | -8.691818e+02 | 1.17 | 8.349363e+03 | 8.345545e+03 | 0.05 |
| 71 | 250 | -5.310000e+02 | -5.364546e+02 | 1.02 | 8.308273e+03 | 8.308273e+03 | 0.00 |
| 158 | 100 | -4.544000e+03 | -4.544545e+03 | 0.01 | -1.053700e+04 | -1.053700e+04 | 0.00 |
| 158 | 117 | -5.933333e+03 | -5.934667e+03 | 0.02 | -1.064191e+04 | -1.064761e+04 | 0.05 |
| 158 | 133 | -8.090667e+03 | -8.095212e+03 | 0.06 | -1.087873e+04 | -1.091206e+04 | 0.31 |
| 158 | 150 | -1.294900e+04 | -1.306836e+04 | 0.91 | -1.343718e+04 | -1.343718e+04 | 0.00 |
| 158 | 167 | -9.196000e+03 | -9.195061e+03 | 0.01 | 1.734364e+03 | 1.735848e+03 | 0.09 |
| 158 | 183 | -5.712667e+03 | -5.705757e+03 | 0.12 | 2.855364e+03 | 2.946818e+03 | 3.10 |
| 158 | 200 | -4.449000e+03 | -4.410909e+03 | 0.86 | 3.413455e+03 | 3.413455e+03 | 0.00 |
| 158 | 217 | -3.422000e+03 | -3.418697e+03 | 0.10 | 4.719455e+03 | 4.742333e+03 | 0.48 |
| 158 | 233 | -2.310000e+03 | -2.309667e+03 | 0.01 | 5.101636e+03 | 5.122970e+03 | 0.42 |
| 158 | 250 | -1.363000e+03 | -1.363182e+03 | 0.01 | 5.294455e+03 | 5.294455e+03 | 0.00 |
| 246 | 100 | -2.275000e+03 | -2.227545e+03 | 2.09 | -3.486909e+03 | -3.486909e+03 | 0.00 |
| 246 | 117 | -2.560667e+03 | -2.504758e+03 | 2.18 | -2.987273e+03 | -2.964485e+03 | 0.76 |
| 246 | 133 | -2.761667e+03 | -2.699212e+03 | 2.26 | -2.411909e+03 | -2.361000e+03 | 2.11 |
| 246 | 150 | -2.852000e+03 | -2.786546e+03 | 2.30 | -1.708455e+03 | -1.708455e+03 | 0.00 |
| 246 | 167 | -2.825667e+03 | -2.761303e+03 | 2.28 | -1.075364e+03 | -1.049303e+03 | 2.42 |
| 246 | 183 | -2.698667e+03 | -2.638667e+03 | 2.22 | -4.690000e+02 | -4.207576e+02 | 10.29 |
| 246 | 200 | -2.418000e+03 | -2.365636e+03 | 2.17 | 8.873636e+02 | 8.873636e+02 | 0.00 |
| 246 | 217 | -1.902000e+03 | -1.865727e+03 | 1.91 | 1.316182e+03 | 1.330848e+03 | 1.10 |
| 246 | 233 | -1.379000e+03 | -1.356091e+03 | 1.66 | 1.614091e+03 | 1.633424e+03 | 1.18 |
| 246 | 250 | -8.650000e+02 | -8.519091e+02 | 1.51 | 1.818818e+03 | 1.818818e+03 | 0.00 |
| 333 | 100 | -4.350000e+02 | -4.180909e+02 | 3.89 | -1.609818e+03 | -1.609818e+03 | 0.00 |
| 333 | 117 | -4.846667e+02 | -4.655758e+02 | 3.94 | -1.343909e+03 | -1.332061e+03 | 0.88 |
| 333 | 133 | -5.500000e+02 | -5.238182e+02 | 4.76 | -1.042273e+03 | -1.013061e+03 | 2.80 |
| 333 | 150 | -4.930000e+02 | -4.799091e+02 | 2.66 | -5.391818e+02 | -5.391818e+02 | 0.00 |
| 333 | 167 | -3.473333e+02 | -3.613333e+02 | 3.87 | -2.830000e+02 | -3.366364e+02 | 15.93 |
| 333 | 183 | -3.636667e+02 | -3.520303e+02 | 3.20 | -4.345454e+01 | -9.060606e+01 | 52.04 |
| 333 | 200 | -1.790000e+02 | -1.451818e+02 | 18.89 | 1.267273e+02 | 1.267273e+02 | 0.00 |
| 333 | 217 | -3.666667e+00 | -2.212121e+00 | 39.67 | 4.704545e+02 | 4.713030e+02 | 0.18 |
| 333 | 233 | 0.000000e+00 | 0.000000e+00 | 0.00 | 4.774545e+02 | 4.778182e+02 | 0.08 |
| 333 | 250 | 2.000000e+00 | 1.454545e+00 | 27.27 | 4.740000e+02 | 4.740000e+02 | 0.00 |
| 421 | 100 | -6.410000e+02 | -6.456364e+02 | 0.72 | -7.755455e+02 | -7.755455e+02 | 0.00 |
| 421 | 117 | -7.830000e+02 | -7.866364e+02 | 0.46 | -5.883636e+02 | -5.804545e+02 | 1.34 |
| 421 | 133 | -8.800000e+02 | -8.819091e+02 | 0.22 | -3.960000e+02 | -3.806667e+02 | 3.87 |
| 421 | 150 | -8.770000e+02 | -8.737273e+02 | 0.37 | -2.356364e+02 | -2.356364e+02 | 0.00 |
| 421 | 167 | -8.166667e+02 | -8.139394e+02 | 0.33 | -1.481818e+02 | -1.448485e+02 | 2.25 |
| 421 | 183 | -7.583333e+02 | -7.561515e+02 | 0.29 | -7.472727e+01 | -6.921212e+01 | 7.38 |
| 421 | 200 | -7.040000e+02 | -7.015454e+02 | 0.35 | -1.000000e+00 | -1.000000e+00 | 0.00 |
| 421 | 217 | -6.510000e+02 | -6.487273e+02 | 0.35 | 6.500000e+01 | 6.800000e+01 | 4.41 |
| 421 | 233 | -5.983333e+02 | -5.951515e+02 | 0.53 | 1.424545e+02 | 1.497879e+02 | 4.90 |
| 421 | 250 | -5.310000e+02 | -5.269091e+02 | 0.77 | 2.583636e+02 | 2.583636e+02 | 0.00 |
21 points with |B| < 50.0 Gauss omitted.
Discrepancies
- Bx: 39.7% at z=333, r=217 cm (abs diff: 1.454545e+00 Gauss)
- Bz: 99.7% at z=-17, r=183 cm (abs diff: 6.143879e+03 Gauss)
Bx discrepancy (z=333, r=217): pos=(216.7, 0.0, 333.1) cm, r=216.67 cm
- Cell: ir=108 (r=[216, 218]), iz=566 (z=[332, 334])
- Fractions: fr=0.3333, fz=0.5455
- Br corners:
[-4.000000, -1.000000, -3.000000, -1.000000] - Bz corners:
[471.000001, 469.999984, 472.999997, 472.999997] - Br variation: along r=1.000000, along z=3.000000
- Bz variation: along r=1.999997, along z=1.000017
Bz discrepancy (z=-17, r=183): pos=(183.3, 0.0, -16.7) cm, r=183.33 cm
- Cell: ir=91 (r=[182, 184]), iz=391 (z=[-18, -16])
- Fractions: fr=0.6667, fz=0.6364
- Br corners:
[299.999993, 230.999999, 292.000007, 223.999992] - Bz corners:
[19.000000, 19.000000, 9230.999947, 9236.999750] - Br variation: along r=7.999986, along z=68.999995
- Bz variation: along r=9211.999946, along z=0.000000
4. Barrel boundary, fine z near midplane
Dense z sampling near z=0 across the radial transition.
| z | r | Bx default | Bx covfie | Bx rel% | Bz default | Bz covfie | Bz rel% |
|---|---|---|---|---|---|---|---|
| -100 | 130 | 2.401000e+03 | 2.401000e+03 | 0.00 | -1.773800e+04 | -1.773800e+04 | 0.00 |
| -100 | 143 | 2.392143e+03 | 2.392143e+03 | 0.00 | -1.842700e+04 | -1.848314e+04 | 0.30 |
| -100 | 156 | 2.407857e+03 | 2.407857e+03 | 0.00 | 4.060000e+02 | 1.510000e+03 | 73.11 |
| -100 | 169 | 2.461857e+03 | 2.461857e+03 | 0.00 | 8.700000e+02 | 8.337143e+02 | 4.17 |
| -100 | 181 | 2.402286e+03 | 2.402286e+03 | 0.00 | 1.410000e+02 | 5.957143e+01 | 57.75 |
| -100 | 194 | 2.046286e+03 | 2.046286e+03 | 0.00 | 8.323000e+03 | 8.321286e+03 | 0.02 |
| -100 | 207 | 1.713000e+03 | 1.713000e+03 | 0.00 | 8.265000e+03 | 8.260428e+03 | 0.06 |
| -100 | 220 | 1.377000e+03 | 1.377000e+03 | 0.00 | 8.198000e+03 | 8.198000e+03 | 0.00 |
| -82 | 130 | 1.658000e+03 | 1.653636e+03 | 0.26 | -1.786736e+04 | -1.786736e+04 | 0.00 |
| -82 | 143 | 1.193000e+03 | 1.182013e+03 | 0.92 | -1.828373e+04 | -1.833714e+04 | 0.29 |
| -82 | 156 | 8.520000e+02 | 8.271169e+02 | 2.92 | 6.100000e+01 | 1.058403e+03 | 94.24 |
| -82 | 169 | 1.504143e+03 | 1.498844e+03 | 0.35 | 3.908182e+02 | 3.724546e+02 | 4.70 |
| -82 | 181 | 1.636143e+03 | 1.632026e+03 | 0.25 | 6.209091e+01 | 2.754545e+01 | 55.64 |
| -82 | 194 | 1.455286e+03 | 1.451662e+03 | 0.25 | 8.538545e+03 | 8.537701e+03 | 0.01 |
| -82 | 207 | 1.236000e+03 | 1.232779e+03 | 0.26 | 8.507000e+03 | 8.504195e+03 | 0.03 |
| -82 | 220 | 1.010000e+03 | 1.007091e+03 | 0.29 | 8.478363e+03 | 8.478363e+03 | 0.00 |
| -64 | 130 | 1.553000e+03 | 1.552455e+03 | 0.04 | -1.800346e+04 | -1.800346e+04 | 0.00 |
| -64 | 143 | 2.151000e+03 | 2.169390e+03 | 0.85 | -1.770418e+04 | -1.763468e+04 | 0.39 |
| -64 | 156 | 4.234857e+03 | 4.148338e+03 | 2.04 | -1.357636e+03 | -8.070389e+02 | 40.56 |
| -64 | 169 | 1.702143e+03 | 1.709104e+03 | 0.41 | -7.654545e+01 | -6.438961e+01 | 15.88 |
| -64 | 181 | 1.476429e+03 | 1.475208e+03 | 0.08 | 1.072727e+01 | 6.636364e+00 | 38.14 |
| -64 | 194 | 1.225571e+03 | 1.221909e+03 | 0.30 | 8.722909e+03 | 8.723026e+03 | 0.00 |
| -64 | 207 | 9.915714e+02 | 9.873896e+02 | 0.42 | 8.718545e+03 | 8.717403e+03 | 0.01 |
| -64 | 220 | 7.820000e+02 | 7.781818e+02 | 0.49 | 8.703182e+03 | 8.703182e+03 | 0.00 |
| -45 | 130 | 1.254000e+03 | 1.236818e+03 | 1.37 | -1.865536e+04 | -1.865536e+04 | 0.00 |
| -45 | 143 | 1.566143e+03 | 1.537117e+03 | 1.85 | -1.913273e+04 | -1.917866e+04 | 0.24 |
| -45 | 156 | 1.678571e+03 | 1.643468e+03 | 2.09 | -2.230000e+02 | 8.904286e+02 | 125.04 |
| -45 | 169 | 1.414000e+03 | 1.392922e+03 | 1.49 | 4.485454e+02 | 4.272468e+02 | 4.75 |
| -45 | 181 | 1.221571e+03 | 1.206766e+03 | 1.21 | 6.863636e+01 | 3.051948e+01 | 55.53 |
| -45 | 194 | 9.757143e+02 | 9.656623e+02 | 1.03 | 8.982364e+03 | 8.981467e+03 | 0.01 |
| -45 | 207 | 7.598571e+02 | 7.515584e+02 | 1.09 | 8.944273e+03 | 8.940688e+03 | 0.04 |
| -45 | 220 | 5.820000e+02 | 5.751818e+02 | 1.17 | 8.904182e+03 | 8.904182e+03 | 0.00 |
| -27 | 130 | 6.430000e+02 | 6.175455e+02 | 3.96 | -1.902473e+04 | -1.902473e+04 | 0.00 |
| -27 | 143 | 7.262857e+02 | 6.965195e+02 | 4.10 | -1.947955e+04 | -1.951469e+04 | 0.18 |
| -27 | 156 | 7.502857e+02 | 7.193247e+02 | 4.13 | -3.232727e+02 | 8.302078e+02 | 138.94 |
| -27 | 169 | 7.071429e+02 | 6.789870e+02 | 3.98 | 5.293636e+02 | 5.073636e+02 | 4.16 |
| -27 | 181 | 6.500000e+02 | 6.248052e+02 | 3.88 | 8.836364e+01 | 3.881818e+01 | 56.07 |
| -27 | 194 | 5.355714e+02 | 5.146364e+02 | 3.91 | 9.148000e+03 | 9.147000e+03 | 0.01 |
| -27 | 207 | 4.380000e+02 | 4.209610e+02 | 3.89 | 9.109273e+03 | 9.105844e+03 | 0.04 |
| -27 | 220 | 3.340000e+02 | 3.223636e+02 | 3.48 | 9.053364e+03 | 9.053364e+03 | 0.00 |
| -9 | 130 | 2.100000e+01 | -9.909091e+00 | 147.19 | -1.912500e+04 | -1.912500e+04 | 0.00 |
| -9 | 143 | 2.200000e+01 | -1.274026e+01 | 157.91 | -1.956055e+04 | -1.959312e+04 | 0.17 |
| -9 | 156 | 2.300000e+01 | -1.290909e+01 | 156.13 | -3.630000e+02 | 7.967143e+02 | 145.56 |
| -9 | 169 | 2.200000e+01 | -1.196104e+01 | 154.37 | 5.270000e+02 | 5.055714e+02 | 4.07 |
| -9 | 181 | 2.100000e+01 | -1.049351e+01 | 149.97 | 8.900000e+01 | 3.900000e+01 | 56.18 |
| -9 | 194 | 1.900000e+01 | -7.233766e+00 | 138.07 | 9.196000e+03 | 9.194792e+03 | 0.01 |
| -9 | 207 | 1.700000e+01 | -4.103896e+00 | 124.14 | 9.149546e+03 | 9.145805e+03 | 0.04 |
| -9 | 220 | 1.600000e+01 | -1.727273e+00 | 110.80 | 9.107000e+03 | 9.107000e+03 | 0.00 |
| 9 | 130 | -6.010000e+02 | -6.380909e+02 | 5.81 | -1.901236e+04 | -1.901236e+04 | 0.00 |
| 9 | 143 | -6.808571e+02 | -7.260520e+02 | 6.22 | -1.946955e+04 | -1.950516e+04 | 0.18 |
| 9 | 156 | -7.032857e+02 | -7.507403e+02 | 6.32 | -3.220909e+02 | 8.306883e+02 | 138.77 |
| 9 | 169 | -6.601428e+02 | -7.025325e+02 | 6.03 | 5.254545e+02 | 5.035844e+02 | 4.16 |
| 9 | 181 | -6.050000e+02 | -6.422468e+02 | 5.80 | 8.745455e+01 | 3.855844e+01 | 55.91 |
| 9 | 194 | -4.957143e+02 | -5.261818e+02 | 5.79 | 9.140454e+03 | 9.139454e+03 | 0.01 |
| 9 | 207 | -4.015714e+02 | -4.265844e+02 | 5.86 | 9.102545e+03 | 9.099117e+03 | 0.04 |
| 9 | 220 | -3.020000e+02 | -3.189091e+02 | 5.30 | 9.043909e+03 | 9.043909e+03 | 0.00 |
| 27 | 130 | -1.208000e+03 | -1.244909e+03 | 2.96 | -1.862191e+04 | -1.862191e+04 | 0.00 |
| 27 | 143 | -1.515000e+03 | -1.585727e+03 | 4.46 | -1.908627e+04 | -1.913295e+04 | 0.24 |
| 27 | 156 | -1.625571e+03 | -1.714571e+03 | 5.19 | -2.279091e+02 | 8.753117e+02 | 126.04 |
| 27 | 169 | -1.361000e+03 | -1.407455e+03 | 3.30 | 4.152727e+02 | 3.949610e+02 | 4.89 |
| 27 | 181 | -1.170571e+03 | -1.202117e+03 | 2.62 | 6.281818e+01 | 2.775325e+01 | 55.82 |
| 27 | 194 | -9.300000e+02 | -9.520909e+02 | 2.32 | 8.963818e+03 | 8.962909e+03 | 0.01 |
| 27 | 207 | -7.198571e+02 | -7.383117e+02 | 2.50 | 8.928364e+03 | 8.925299e+03 | 0.03 |
| 27 | 220 | -5.470000e+02 | -5.616364e+02 | 2.61 | 8.891273e+03 | 8.891273e+03 | 0.00 |
| 45 | 130 | -1.501000e+03 | -1.497364e+03 | 0.24 | -1.799018e+04 | -1.799018e+04 | 0.00 |
| 45 | 143 | -2.088286e+03 | -1.926208e+03 | 7.76 | -1.755200e+04 | -1.744653e+04 | 0.60 |
| 45 | 156 | -4.172571e+03 | -3.892571e+03 | 6.71 | -3.903364e+03 | -2.279545e+03 | 41.60 |
| 45 | 169 | -1.636000e+03 | -1.591532e+03 | 2.72 | -1.315455e+02 | -1.152078e+02 | 12.42 |
| 45 | 181 | -1.413143e+03 | -1.414390e+03 | 0.09 | 5.545455e+00 | 4.441558e+00 | 19.91 |
| 45 | 194 | -1.169714e+03 | -1.182182e+03 | 1.05 | 8.710546e+03 | 8.710584e+03 | 0.00 |
| 45 | 207 | -9.431428e+02 | -9.584156e+02 | 1.59 | 8.707546e+03 | 8.706403e+03 | 0.01 |
| 45 | 220 | -7.410000e+02 | -7.555455e+02 | 1.93 | 8.692273e+03 | 8.692273e+03 | 0.00 |
| 64 | 130 | -1.601000e+03 | -1.647636e+03 | 2.83 | -1.793318e+04 | -1.793318e+04 | 0.00 |
| 64 | 143 | -1.122429e+03 | -1.230195e+03 | 8.76 | -1.841227e+04 | -1.846994e+04 | 0.31 |
| 64 | 156 | -7.722857e+02 | -9.615195e+02 | 19.68 | 6.327273e+01 | 1.092935e+03 | 94.21 |
| 64 | 169 | -1.418571e+03 | -1.477247e+03 | 3.97 | 4.396364e+02 | 4.185974e+02 | 4.79 |
| 64 | 181 | -1.549143e+03 | -1.591104e+03 | 2.64 | 6.736364e+01 | 2.970130e+01 | 55.91 |
| 64 | 194 | -1.381714e+03 | -1.416779e+03 | 2.47 | 8.542091e+03 | 8.541091e+03 | 0.01 |
| 64 | 207 | -1.175143e+03 | -1.205416e+03 | 2.51 | 8.505000e+03 | 8.502143e+03 | 0.03 |
| 64 | 220 | -9.590000e+02 | -9.860000e+02 | 2.74 | 8.473545e+03 | 8.473545e+03 | 0.00 |
| 82 | 130 | -2.345000e+03 | -2.438636e+03 | 3.84 | -1.778855e+04 | -1.778855e+04 | 0.00 |
| 82 | 143 | -2.314429e+03 | -2.432481e+03 | 4.85 | -1.848764e+04 | -1.854331e+04 | 0.30 |
| 82 | 156 | -2.304429e+03 | -2.430922e+03 | 5.20 | 3.590000e+02 | 1.466273e+03 | 75.52 |
| 82 | 169 | -2.337000e+03 | -2.449208e+03 | 4.58 | 8.483637e+02 | 8.127533e+02 | 4.20 |
| 82 | 181 | -2.271714e+03 | -2.371584e+03 | 4.21 | 1.376364e+02 | 5.848052e+01 | 57.51 |
| 82 | 194 | -1.945714e+03 | -2.022727e+03 | 3.81 | 8.330909e+03 | 8.329195e+03 | 0.02 |
| 82 | 207 | -1.634714e+03 | -1.697312e+03 | 3.69 | 8.268909e+03 | 8.264857e+03 | 0.05 |
| 82 | 220 | -1.326000e+03 | -1.366000e+03 | 2.93 | 8.196636e+03 | 8.196636e+03 | 0.00 |
| 100 | 130 | -3.483000e+03 | -3.483000e+03 | 0.00 | -1.720200e+04 | -1.720200e+04 | 0.00 |
| 100 | 143 | -3.661571e+03 | -3.661571e+03 | 0.00 | -1.800900e+04 | -1.807071e+04 | 0.34 |
| 100 | 156 | -3.745286e+03 | -3.745286e+03 | 0.00 | 7.580000e+02 | 1.852571e+03 | 59.08 |
| 100 | 169 | -3.715429e+03 | -3.715429e+03 | 0.00 | 1.099000e+03 | 1.054429e+03 | 4.06 |
| 100 | 181 | -3.549571e+03 | -3.549571e+03 | 0.00 | 1.830000e+02 | 7.657143e+01 | 58.16 |
| 100 | 194 | -2.949714e+03 | -2.949714e+03 | 0.00 | 7.919000e+03 | 7.918428e+03 | 0.01 |
| 100 | 207 | -2.375429e+03 | -2.375429e+03 | 0.00 | 7.832000e+03 | 7.823429e+03 | 0.11 |
| 100 | 220 | -1.861000e+03 | -1.861000e+03 | 0.00 | 7.752000e+03 | 7.752000e+03 | 0.00 |
Discrepancies
- Bx: 157.9% at z=-9, r=143 cm (abs diff: 3.474026e+01 Gauss)
- Bz: 145.6% at z=-9, r=156 cm (abs diff: 1.159714e+03 Gauss)
Bx discrepancy (z=-9, r=143): pos=(142.9, 0.0, -9.1) cm, r=142.86 cm
- Cell: ir=71 (r=[142, 144]), iz=395 (z=[-10, -8])
- Fractions: fr=0.4286, fz=0.4545
- Br corners:
[22.000000, -54.000001, 22.000000, -55.000000] - Bz corners:
[-19560.999870, -19559.999704, -19637.000561, -19636.000395] - Br variation: along r=0.000000, along z=76.000001
- Bz variation: along r=76.000690, along z=1.000166
Bz discrepancy (z=-9, r=156): pos=(155.7, 0.0, -9.1) cm, r=155.71 cm
- Cell: ir=77 (r=[154, 156]), iz=395 (z=[-10, -8])
- Fractions: fr=0.8571, fz=0.4545
- Br corners:
[23.000001, -55.999998, 23.000001, -55.999998] - Bz corners:
[-362.999998, -362.999998, 989.999995, 989.999995] - Br variation: along r=0.000000, along z=78.999999
- Bz variation: along r=1352.999993, along z=0.000000
5. Forward/backward transition
z regions where the solenoid field begins and ends.
| z | r | Bx default | Bx covfie | Bx rel% | Bz default | Bz covfie | Bz rel% |
|---|---|---|---|---|---|---|---|
| -440 | 10 | 9.900000e+01 | 1.058571e+02 | 6.48 | -5.600000e+01 | -5.600000e+01 | 0.00 |
| -440 | 37 | 1.161857e+03 | 1.162714e+03 | 0.07 | -6.567143e+02 | -6.532041e+02 | 0.53 |
| -440 | 64 | 1.924286e+03 | 1.925143e+03 | 0.04 | -5.838571e+02 | -5.829796e+02 | 0.15 |
| -440 | 91 | 2.531857e+03 | 2.533041e+03 | 0.05 | -4.987143e+02 | -4.940204e+02 | 0.94 |
| -440 | 119 | 2.948571e+03 | 2.949714e+03 | 0.04 | -3.905714e+02 | -3.882041e+02 | 0.61 |
| -440 | 146 | 3.155000e+03 | 3.156408e+03 | 0.04 | -2.844286e+02 | -2.774490e+02 | 2.45 |
| -440 | 173 | 3.166429e+03 | 3.167429e+03 | 0.03 | -1.785714e+02 | -1.758776e+02 | 1.51 |
| -440 | 200 | 3.021000e+03 | 3.021857e+03 | 0.03 | -9.700000e+01 | -9.700000e+01 | 0.00 |
| -418 | 10 | 8.600000e+01 | 6.885714e+01 | 19.93 | -1.259857e+03 | -1.259857e+03 | 0.00 |
| -418 | 37 | 3.757143e+01 | 4.406122e+01 | 14.73 | -1.266571e+03 | -1.262571e+03 | 0.32 |
| -418 | 64 | 5.628571e+01 | 6.571428e+01 | 14.35 | -1.138571e+03 | -1.136980e+03 | 0.14 |
| -418 | 91 | 7.271429e+01 | 8.471429e+01 | 14.17 | -9.707143e+02 | -9.606123e+02 | 1.04 |
| -418 | 119 | 8.100000e+01 | 9.471429e+01 | 14.48 | -7.547143e+02 | -7.501428e+02 | 0.61 |
| -418 | 146 | 8.000000e+01 | 9.371429e+01 | 14.63 | -5.420000e+02 | -5.282857e+02 | 2.53 |
| -418 | 173 | 6.814286e+01 | 7.965306e+01 | 14.45 | -3.301429e+02 | -3.245102e+02 | 1.71 |
| -418 | 200 | 4.800000e+01 | 5.657143e+01 | 15.15 | -1.651429e+02 | -1.651429e+02 | 0.00 |
| -397 | 10 | 3.500000e+01 | 3.557143e+01 | 1.61 | -1.402000e+03 | -1.402000e+03 | 0.00 |
| -397 | 37 | 1.144286e+02 | 1.184286e+02 | 3.38 | -1.349857e+03 | -1.345857e+03 | 0.30 |
| -397 | 64 | 1.835714e+02 | 1.905102e+02 | 3.64 | -1.215286e+03 | -1.213571e+03 | 0.14 |
| -397 | 91 | 2.371429e+02 | 2.461224e+02 | 3.65 | -1.034143e+03 | -1.022714e+03 | 1.11 |
| -397 | 119 | 2.662857e+02 | 2.765714e+02 | 3.72 | -7.964286e+02 | -7.911224e+02 | 0.67 |
| -397 | 146 | 2.641429e+02 | 2.744286e+02 | 3.75 | -5.591429e+02 | -5.437143e+02 | 2.76 |
| -397 | 173 | 2.252857e+02 | 2.341837e+02 | 3.80 | -3.204286e+02 | -3.137551e+02 | 2.08 |
| -397 | 200 | 1.570000e+02 | 1.632857e+02 | 3.85 | -1.357143e+02 | -1.357143e+02 | 0.00 |
| -375 | 10 | 5.500000e+01 | 5.557143e+01 | 1.03 | -1.593286e+03 | -1.593286e+03 | 0.00 |
| -375 | 37 | 1.987143e+02 | 2.010000e+02 | 1.14 | -1.527000e+03 | -1.522020e+03 | 0.33 |
| -375 | 64 | 3.251429e+02 | 3.289388e+02 | 1.15 | -1.372429e+03 | -1.370531e+03 | 0.14 |
| -375 | 91 | 4.232857e+02 | 4.287143e+02 | 1.27 | -1.163286e+03 | -1.149918e+03 | 1.15 |
| -375 | 119 | 4.805714e+02 | 4.866531e+02 | 1.25 | -8.831429e+02 | -8.771429e+02 | 0.68 |
| -375 | 146 | 4.812857e+02 | 4.876122e+02 | 1.30 | -5.964286e+02 | -5.775714e+02 | 3.16 |
| -375 | 173 | 4.125714e+02 | 4.182857e+02 | 1.37 | -2.984286e+02 | -2.901633e+02 | 2.77 |
| -375 | 200 | 2.840000e+02 | 2.877143e+02 | 1.29 | -6.971428e+01 | -6.971428e+01 | 0.00 |
| -354 | 10 | 8.200000e+01 | 8.200000e+01 | 0.00 | -1.885000e+03 | -1.885000e+03 | 0.00 |
| -354 | 37 | 2.975714e+02 | 2.975714e+02 | 0.00 | -1.806000e+03 | -1.800286e+03 | 0.32 |
| -354 | 64 | 4.908571e+02 | 4.908571e+02 | 0.00 | -1.624000e+03 | -1.621571e+03 | 0.15 |
| -354 | 91 | 6.454286e+02 | 6.454286e+02 | 0.00 | -1.373000e+03 | -1.357286e+03 | 1.14 |
| -354 | 119 | 7.424286e+02 | 7.424286e+02 | 0.00 | -1.031000e+03 | -1.023286e+03 | 0.75 |
| -354 | 146 | 7.602857e+02 | 7.602857e+02 | 0.00 | -6.670000e+02 | -6.421428e+02 | 3.73 |
| -354 | 173 | 6.638572e+02 | 6.638572e+02 | 0.00 | -2.600000e+02 | -2.480000e+02 | 4.62 |
| -354 | 200 | 4.270000e+02 | 4.270000e+02 | 0.00 | 3.600000e+01 | 3.600000e+01 | 0.00 |
| 408 | 37 | -2.457143e+02 | -2.457143e+02 | 0.00 | -1.368000e+03 | -1.363429e+03 | 0.33 |
| 408 | 64 | -4.347143e+02 | -4.347143e+02 | 0.00 | -1.223000e+03 | -1.221143e+03 | 0.15 |
| 408 | 91 | -5.781429e+02 | -5.781429e+02 | 0.00 | -1.030000e+03 | -1.017857e+03 | 1.18 |
| 408 | 119 | -7.290000e+02 | -7.290000e+02 | 0.00 | -7.410000e+02 | -7.335715e+02 | 1.00 |
| 408 | 146 | -8.978572e+02 | -8.978572e+02 | 0.00 | -3.780000e+02 | -3.548572e+02 | 6.12 |
| 408 | 173 | -8.531428e+02 | -8.531428e+02 | 0.00 | -1.310000e+02 | -1.267143e+02 | 3.27 |
| 408 | 200 | -7.530000e+02 | -7.530000e+02 | 0.00 | -7.000000e+00 | -7.000000e+00 | 0.00 |
| 429 | 37 | -2.030000e+02 | -2.022857e+02 | 0.35 | -1.080143e+03 | -1.076306e+03 | 0.36 |
| 429 | 64 | -3.961429e+02 | -4.033877e+02 | 1.80 | -9.522857e+02 | -9.505306e+02 | 0.18 |
| 429 | 91 | -6.415714e+02 | -6.594286e+02 | 2.71 | -7.374286e+02 | -7.231429e+02 | 1.94 |
| 429 | 119 | -8.428571e+02 | -8.502041e+02 | 0.86 | -4.491429e+02 | -4.430612e+02 | 1.35 |
| 429 | 146 | -8.418572e+02 | -8.332857e+02 | 1.02 | -2.477143e+02 | -2.374286e+02 | 4.15 |
| 429 | 173 | -7.590000e+02 | -7.528775e+02 | 0.81 | -1.085714e+02 | -1.051429e+02 | 3.16 |
| 429 | 200 | -6.720000e+02 | -6.670000e+02 | 0.74 | 7.142857e-01 | 7.142857e-01 | 0.00 |
| 451 | 37 | -3.195714e+02 | -3.170000e+02 | 0.80 | -7.067143e+02 | -7.032857e+02 | 0.49 |
| 451 | 64 | -5.620000e+02 | -5.572857e+02 | 0.84 | -5.907143e+02 | -5.892041e+02 | 0.26 |
| 451 | 91 | -7.050000e+02 | -7.002857e+02 | 0.67 | -4.445714e+02 | -4.360000e+02 | 1.93 |
| 451 | 119 | -7.530000e+02 | -7.487143e+02 | 0.57 | -2.890000e+02 | -2.861020e+02 | 1.00 |
| 451 | 146 | -7.344286e+02 | -7.310000e+02 | 0.47 | -1.730000e+02 | -1.661429e+02 | 3.96 |
| 451 | 173 | -6.778572e+02 | -6.754694e+02 | 0.35 | -7.871429e+01 | -7.614286e+01 | 3.27 |
| 451 | 200 | -6.000000e+02 | -5.978571e+02 | 0.36 | -1.428571e+00 | -1.428571e+00 | 0.00 |
| 472 | 37 | -2.702857e+02 | -2.699388e+02 | 0.13 | -3.262857e+02 | -3.251429e+02 | 0.35 |
| 472 | 64 | -4.807143e+02 | -4.800204e+02 | 0.14 | -2.760000e+02 | -2.753061e+02 | 0.25 |
| 472 | 91 | -6.130000e+02 | -6.123878e+02 | 0.10 | -2.130000e+02 | -2.095306e+02 | 1.63 |
| 472 | 119 | -6.722857e+02 | -6.717143e+02 | 0.08 | -1.450000e+02 | -1.436122e+02 | 0.96 |
| 472 | 146 | -6.712857e+02 | -6.708572e+02 | 0.06 | -9.185714e+01 | -8.842857e+01 | 3.73 |
| 472 | 173 | -6.292857e+02 | -6.288572e+02 | 0.07 | -4.642857e+01 | -4.520408e+01 | 2.64 |
| 472 | 200 | -5.570000e+02 | -5.565714e+02 | 0.08 | -9.142857e+00 | -9.142857e+00 | 0.00 |
60 points with |B| < 50.0 Gauss omitted.
Discrepancies
- Bx: 19.9% at z=-418, r=10 cm (abs diff: 1.714286e+01 Gauss)
- Bz: 6.1% at z=408, r=146 cm (abs diff: 2.314283e+01 Gauss)
Bx discrepancy (z=-418, r=10): pos=(10.0, 0.0, -418.3) cm, r=10.00 cm
- Cell: ir=5 (r=[10, 12]), iz=190 (z=[-420, -418])
- Fractions: fr=0.0000, fz=0.8571
- Br corners:
[86.000003, 66.000000, 85.000005, 68.999999] - Bz corners:
[-1240.999997, -1263.000071, -1268.000007, -1277.000010] - Br variation: along r=0.999998, along z=20.000003
- Bz variation: along r=27.000010, along z=22.000074
Bz discrepancy (z=408, r=146): pos=(145.7, 0.0, 408.0) cm, r=145.71 cm
- Cell: ir=72 (r=[144, 146]), iz=604 (z=[408, 410])
- Fractions: fr=0.8571, fz=0.0000
- Br corners:
[-891.000032, -895.999968, -899.000019, -904.000029] - Bz corners:
[-377.999991, -357.000008, -351.000018, -331.000015] - Br variation: along r=7.999986, along z=4.999936
- Bz variation: along r=26.999973, along z=20.999983
6. Gradient statistics
| Gradient | Max |grad| (Gauss/cm) | Used by |
|----------|--------------------:|---------|
| dBr/dr | 1485.75 | Default Celeritas |
| dBr/dz | 2341.00 | Covfie bilinear (cross-term) |
| dBz/dz | 1390.25 | Default Celeritas |
| dBz/dr | 4876.75 | Covfie bilinear (cross-term) |
Cross/along gradient ratio (Br): 1.6x
Cross/along gradient ratio (Bz): 3.5x
When the cross-gradient ratio is >= 1, the 1D interpolation is missing variation comparable to or larger than what it captures.
sethrj
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Thanks @rahmans1 , it took me a minute to grasp the goal(s) of this PR: the idea is that ePIC stores its magnetic field as a covfie binary file?
I think since the existing RZ map field is an older input definition and not used any more, let's simply replace it: this should simplify the code greatly.
I think it would help a lot to also break this into three smaller PRs:
- Importing fields from covfie (just loading field inputs, not changing test values). This should include some small binary test files that have size {2,3,4} for cartesian (to allow us to make sure we're not screwing up the strides) and {2, 3} for RZ. You can just test the imported Params data, not even bothering to evaluate the field. Alternatively, we could define an alternative input with just the covfie filename and field options, rather than having a celer->covfie->celer flow, and that could load the file without a translation layer (though you may need to scale the units).
- Replacing the RZ map field with a covfie back-end. If it's easier/more natural for covfie to use [r][z] stride rather than the fortran [Z][R] stride that's there not, do that.
- Adding the DD4hep interface to the new capabilities.
We definitely want non-dd users to be able to take advantage of this cool new capability! Thanks!
| { | ||
| return {vec[0], vec[1]}; | ||
| } | ||
| }; |
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It's possible this could be combined with the 3D CovfieFieldTraits, but I think that it would be more confusing. Since there's nothing specific to RZ in this one or XYZ in the existing, could you rename this to CovfieFieldTraits2 and @esseivaju 's existing one to CovfieFieldTraits3?
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| celeritas::real_type min_r_; | ||
| celeritas::real_type max_r_; | ||
| celeritas::real_type min_z_; | ||
| celeritas::real_type max_z_; |
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Why do we need to keep a copy of these here but not the XYZ field? If it's necessary, then I would considering refactoring the data to have:
EnumArray<Bound, Real2> extents;and store a reference to those. You'd access the min_r as extents[Bound::lo, 0], and you could define locally
constexpr auto lo = Bounds::lo;
constexpr auto hi = Bounds::hi;
constexpr auto R = 0;
constexpr auto Z = 1;Or since that may be overthinking it, perhaps:
struct RZExtents
{
real_type min_r;
real_type max_r;
...
};
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| << "Celeritas uniform field mode only supports " | ||
| "ConstantField " | ||
| "components. Found non-constant field in DD4hep " | ||
| "description." | ||
| " Set FieldMapFile to use a covfie field map " | ||
| "instead."); |
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reindent; use R"(...)" if you want.
| // Copyright Celeritas contributors: see top-level COPYRIGHT file for details | ||
| // SPDX-License-Identifier: (Apache-2.0 OR MIT) | ||
| //---------------------------------------------------------------------------// | ||
| //! \file ddceler/LoadCovfieField.covfie.cc |
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Can you move this to src/celeritas/field?
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Add covfie field map loaders (3D Cartesian and 2D BrBz) for ddceler
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