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KineticForces: QuadGK adaptive quadrature for energy/pitch/psi integration - #220
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…itch/psi integration
Replace ODE accumulation (Tsit5) with purpose-built adaptive Gauss-Kronrod
quadrature (QuadGK.jl) for all three KineticForces integration levels.
Energy integration uses a u-substitution u=1-exp(-x) mapping [0,∞)→[0,1)
that absorbs the Maxwellian weight exactly, eliminating the xmax=72
truncation. Resonance poles are handled analytically via Sokhotski-Plemelj
decomposition: the singular part is subtracted and its contribution computed
via the complex logarithm formula, which handles both collisional (ν>0) and
collisionless (ν→0) regimes without the ximag complex contour workaround.
Pitch integration passes the trapped-passing boundary (λ=B₀/Bmax) as a
QuadGK breakpoint to handle the leff/nueff discontinuity. Psi integration
uses QuadGK for scalar torque methods; matrix methods remain on the ODE
path.
Both paths are switchable via ctrl.integration_method ("quadgk" or "ode").
Default is "quadgk". All existing tests pass; 20 new unit tests added
including CGL analytical verification, ODE cross-validation, and resonance
root finding. Regression: 0 diff on solovev_kinetic_calculated and
solovev_n1.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>logan-nc added a commit
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May 23, 2026
…lytic resonance poles Port the QuadGK energy-integration robustness from PR #220 into the KineticForces energy integrator, with a corrected pole decomposition. - Map x = E/T to u = 1-exp(-x) on [0,1), absorbing the Maxwellian weight into du, so the integral covers [0,infinity) without an xmax cutoff. - Remove each resonance pole analytically by a Sokhotski-Plemelj decomposition: subtract R/(u-u_pole) and add back the elementary integral R*(log(1-u_pole)-log(-u_pole)). The same complex pole u_pole (x_pole = x_res - i*nu/Omega') is used in both the subtraction and the add-back, so the decomposition is exact and converges for nu > 0 as well as nu -> 0 (PR #220 subtracted at the real u_res but added at the complex u_pole, which diverges for collisional cases). - Collisionless limit uses the causal Sokhotski-Plemelj branch. - CGL has no resonance denominator: integrate the physical x-space integrand directly over [0,infinity) via QuadGK. - ximag is accepted for signature compatibility but is now unused. Adds find_resonance_energies and unit tests: resonance-root cases, a collisional cross-check against direct x-space quadrature, and a collisionless-limit continuity check. 110 kinetic unit tests pass. Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
logan-nc
commented
May 23, 2026
CollaboratorAuthor
Superseded by #224. #224 ported the three robustness techniques from this PR into
Two additional NaN guards were needed in the calculated-source pipeline that this PR did not exercise: Closing as superseded; the |
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Jun 10, 2026
* Very preliminary conversion of pentrc from Fortran to Julia. Much to do still
* PENTRC - We need to swap out the spline mods for the actual spline implementation
* DELETE - delete unusable fortran files
* PENTRC - remove spline functions (these will be moved to Splines folder)
* PENTRC - remove some dcon interface (JPEC already have an solution calcuation in DCON)
* MINOR - add some reference cases
* MINOR - rename folder
* MINOR - update reference files
* PENTRC - change the current structural format into same format with JPEC-DCON
* WIP - files changes and remove duplicated spline definition
* WIP - remove files to re-struct the file structure
* WIP - remove pentrc_interface.jl to streamline codebase
* PENTRC - Refactor PENTRC code structure and output management
- Consolidated main program into a single `Main` function for better readability and modularity.
- Introduced `PentrcControl`, `PentrcInternal`, and `PentrcOutput` structures to encapsulate control parameters, internal state, and output configurations respectively.
- Created a new `Output.jl` file to manage output operations, including writing torque, orbit, and energy data to ASCII files.
- Improved error handling and output directory management.
- Updated documentation and comments for clarity and consistency.
* PENTRC
- Updated module descriptions and added detailed function documentation for energy integration and torque calculations.
- Refactored special functions to include elliptic integrals and double factorial computations.
- Improved clarity and organization of code for better maintainability.
* MINOR - Add PENTRC module inclusion and export in JPEC.jl
* MINOR - Add spline_fit!, spline_roots, and spline_dealloc! to exported functions in Splines module
* MINOR - Remove unnecessary spline_dealloc! calls in tpsi! function
* PENTRC - Add SplineType struct and related functions for spline data management; implement spline_roots and spline_fit functions in CubicSpline
* PENTRC - Update imports from Spl/DCON to FastInterpolations/ForceFreeStates; add documentation page
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* PENTRC - Migrate spline API from Spl to FastInterpolations; replace spline_roots with Roots.jl
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* PENTRC - FIX - Resolve load-blocking issues: remove broken includes, fix scoping, resolve duplicates
- energy.jl: Replace TaskLocalValue with plain Dict (no TaskLocalValues.jl dep)
- energy_integration.jl: Remove duplicate xintgrl_lsode stub (real impl in energy.jl),
remove duplicate global Ref() definitions, add verbose keyword to tintgrl_grid
- pentrc.jl: Add includes for energy_integration.jl and special.jl
- Input.jl: Move `using DelimitedFiles` to top level, remove `using HDF5` from
inside functions (already in pentrc.jl), remove shadowed local const declarations
- Utils.jl: Remove dead Utilities sub-module with broken params.jl include
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* PENTRC - IMPROVEMENT - Modernize structs to @kwdef mutable pattern
- PentrcControl: @kwdef mutable struct with defaults for all fields,
TOML-constructable via keyword splatting. Removed Fortran-era fields
(idconfile, pentrc_threads, openmp_threads).
- PentrcInternal: @kwdef mutable struct with fields for equilibrium-derived
quantities (ro, bo, chi1, mthsurf, mfac) and profile interpolants
(sq, kin, geom, dbob_m, divx_m) that will replace module globals.
- PentrcOutput: Merged into PentrcControl (output config belongs with
control parameters, matching ForceFreeStates/PerturbedEquilibrium pattern).
- Output.jl: Updated to use PentrcControl + PentrcInternal instead of PentrcOutput.
- Main.jl: Removed PentrcOutput usage and Fortran-era thread/clean logic.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* PENTRC - IMPROVEMENT - Eliminate module globals; pass equil and intr through call chain
- torque.jl: tpsi! now takes intr::PentrcInternal parameter; all bare globals
(tdebug, dbob_m, divx_m, mthsurf, chi1, ro, bo, sq, kin, geom, mfac)
replaced with intr.field references. calculate_fcgl updated similarly.
- Compute.jl: compute_torque_all_methods! and compute_matrix_calculation!
now take equil parameter. Removed references to deleted PentrcControl
fields (data_dir, psi_out, wxyz_flag, output_netcdf).
- Main.jl: Takes equil parameter, calls initialize_from_equilibrium!
to populate PentrcInternal from PlasmaEquilibrium.
- Input.jl: Added initialize_from_equilibrium!(intr, equil) function
that extracts ro, bo, chi1, mthsurf from equilibrium.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* PENTRC - CLEANUP - Remove dead test files; wire PENTRC into main pipeline
- Remove 12 dead test files referencing deleted dcon_interface.jl,
pentrc_interface.jl, and SplineType (90 total stale references).
- Wire PENTRC into GeneralizedPerturbedEquilibrium.main() pipeline:
reads [PENTRC] section from gpec.toml, constructs PentrcControl via
keyword splatting, initializes PentrcInternal from equilibrium.
- Add commented [PENTRC] example section to DIIID-like gpec.toml.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - REFACTOR - Rename Pentrc directory and module to KineticForces
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - REFACTOR - Rename structs and files to CamelCase; delete stub energy_integration.jl
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - CLEANUP - Remove standalone Main.jl; workflow via main() only
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - REFACTOR - Use [KineticForces] TOML section in gpec.toml
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - CLEANUP - Delete unused Special.jl and Utils.jl
Neither file had any callers within the module. Elliptic integrals will
be provided by Elliptic.jl when needed by future implementations.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - REFACTOR - Move kinetic profiles to Equilibrium, grid utilities to Utilities
- Created src/Equilibrium/KineticProfiles.jl with read_kinetic_profiles()
- Created src/Utilities/GridUtilities.jl with powspace()
- Removed read_kin(), linear_interp_extrap() from KineticForces/Input.jl
- Removed powspace_sub(), linspace_sub() from KineticForces/Grid.jl
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - NEW FEATURE - Standardize IO: accumulate results in structs, write to gpec.h5 only
Add EnergyIntegrationResult, MethodResult, and KineticForcesState structs for
in-memory result accumulation. Replace all ASCII and NetCDF output with single
write_to_hdf5!() using offset-indexed concatenated arrays for variable-length
ODE trajectories. Remove old Record struct, energy_record global, and all
record_method/output_energy_* functions. Update main() pipeline to create
KineticForcesState and write results to gpec.h5.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - IMPROVEMENT - Rename LSODE functions; implement pitch ODE integration
Rename xintgrl_lsode → integrate_energy_ode, xintgrnd! → energy_integrand!.
Replace module-level energy_state Dict with EnergyParams struct passed via ODE
problem p field. Implement integrate_pitch_ode() in PitchIntegration.jl as the
outer λ loop that calls integrate_energy_ode() at each pitch angle. Update
Compute.jl to call tpsi!() per surface with trapezoidal flux integration.
Remove grid-based "lsode" branch from Grid.jl.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - CLEANUP - Update docs and remove all remaining PENTRC references
Rename docs/src/pentrc.md → kinetic_forces.md with updated @autodocs module
reference. Update docs/make.jl sidebar entry. Replace PENTRC references in
citations.md, CLAUDE.md, KineticForcesStructs.jl, and Input.jl with
KineticForces. Historical PENTRC name preserved only in citations context.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - CLEANUP - Delete Input.jl, streamline initialization API
Delete Input.jl (stubs for Fortran-era file I/O that are never needed in Julia).
Inline get_method_flags into Compute.jl. Replace initialize_from_equilibrium!
with an outer constructor KineticForcesInternal(equil) that extracts geometry
from PlasmaEquilibrium directly. Add set_perturbation_data! placeholder for
receiving mode data from PerturbedEquilibriumState. Fix b0/bo naming bug
(equil.params.b0, not equil.params.bo). Remove unused struct fields (dir_path,
flags, nvalid, psi_out_valid).
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - CLEANUP - Delete Grid.jl; only dynamic ODE integration supported
Remove Grid.jl (setup_psi_grid, validate_grid, refine_grid, coarsen_grid,
get_psi_output_surfaces — all unused). Remove grid_type field from
KineticForcesInternal. The psi_grid field remains for storing integration
surfaces but is populated directly, not via grid utility functions.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - NEW FEATURE - Implement GAR NTV calculation paths (fgar/tgar/pgar)
Full general-aspect-ratio NTV torque and kinetic energy calculation with
dynamic ODE integration at all three levels (psi, pitch angle, energy).
New BounceAveraging.jl: powspace grid generation, compute_bounce_data for
bounce-averaged frequencies (wb, wd) and perturbation action |dJ|^2, with
optional W vector outer products for kinetic matrix assembly.
Replaces calculate_gar stub with full implementation: bounce data -> fbnce
interpolant -> median normalization -> pitch ODE -> torque normalization
(Eq. 19, Logan et al. 2013). Supports scalar torque (fgar/tgar/pgar) and
kinetic matrix paths (wmm/tmm/kmm/rmm) with DCON normalization.
Outer psi integration now uses adaptive ODE solver (matching Fortran
tintgrl_lsode) instead of trapezoidal rule on fixed grid. Multi-n support
via block-diagonal numpert_total x numpert_total matrix assembly.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - NEW FEATURE - Kinetic matrix API (rex/imx override, compute_kinetic_matrices_at_psi!)
Add rex_override/imx_override kwargs to tpsi! and calculate_gar, enabling
a single bounce-averaging pass to produce both energy (kwmat) and torque
(ktmat) matrices — halving compute cost vs the Fortran pattern of calling
tpsi twice. New compute_kinetic_matrices_at_psi!() splits the full complex
result: kwmat gets imaginary parts, ktmat gets real parts.
Also: build_kinetic_metric_matrices() in Fourfit.jl for s/t/x/y/z geometric
matrices, @warn on compute_kinetic_contribution stub, remove const π shadow.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* TESTS - BUG FIX - Fix FastInterpolations import in equil spline type tests
The spline integrity tests referenced FastInterpolations.CubicSeriesInterpolant
without importing FastInterpolations into the test scope. Access via the
parent module instead.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - NEW FEATURE - Add unit test suite (101 tests)
New test/runtests_kinetic.jl covering powspace grid generation,
_powspace_antideriv analytical properties, energy_integrand! limits
(CGL, collisionless decay, heat flux), integrate_energy_ode convergence,
and all KineticForces struct defaults.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - BUG FIX - Use tolerance-based monotonicity check in powspace test
issorted(pts) fails on Julia 1.12 due to floating-point rounding in the
powspace polynomial evaluation producing nearly-equal consecutive points.
Use diff-based check with eps tolerance instead.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - NEW FEATURE - Wire kinetic_source="calculated" into ForceFreeStates kinetic-MHD
Connects KineticForces' bounce-averaged matrix kernel to the kinetic-MHD
stability path introduced on develop (PR #210). The "calculated" source in
ForceFreeStates.make_kinetic_matrix now dispatches to
KineticForces.compute_calculated_kinetic_matrices via a callback injected
at the GeneralizedPerturbedEquilibrium.main call site — ForceFreeStates
is loaded before KineticForces, so direct import would invert the
dependency order.
Changes:
- Move _build_x_matrix / fixed_kinetic_matrices from ForceFreeStates/Kinetic.jl
to a new FixedKineticMatrices.jl, leaving Kinetic.jl focused on the
dispatcher + Schur FKG reduction.
- Add KineticForces/CalculatedKineticMatrices.jl with the callback entry
point. Builds the KineticForces internal state, pulls geometric matrices
from ForceFreeStates.build_kinetic_metric_matrices, and returns
(kw_flat, kt_flat) of shape (mpsi, np^2, 6). Returns zeros + warning
until kinetic profile (sq/kin/geom) and perturbation (dbob_m/divx_m)
wiring is implemented — the dispatch path through _compute_fkg_matrices!
and sing_der! is still exercised end-to-end.
- Gate dbob_m / divx_m dereference in tpsi! for matrix-only calls so the
matrix kernel can be driven with no perturbation data.
- Delete obsolete compute_kinetic_contribution stub from Compute.jl.
- Add regression_solovev_kinetic_calculated test case and fullrun test
asserting the calculated dispatch path runs end-to-end and produces a
finite eigenvalue.
All 769 tests pass (Utilities 11, Vacuum 252, Equilibrium 240, ODE 79,
Sing 74, KineticForces 101, FullRuns 12). DIIID-like example verified
end-to-end with kinetic_source="calculated", kinetic_factor=0.1.
Follow-up (out of scope): populating kf_intr.sq/kin/geom from kinetic.dat
and wiring set_perturbation_data! from PerturbedEquilibriumState to
produce non-zero kinetic matrices and make the post-PE
compute_torque_all_methods! diagnostic path runnable.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - NEW FEATURE - Wire real kinetic matrices for kinetic_source="calculated"
Replace the zero-matrix short-circuit in compute_calculated_kinetic_matrices with
real bounce-averaged NTV physics. KineticForces now consumes named splines on
equil.profiles, equil.geometry, and a separately-loaded KineticProfileSplines
directly, eliminating the shadow-copy sq/kin/geom fields on KineticForcesInternal.
Equilibrium changes:
- Add GeometryProfileSplines (avg_r, avg_R, area) computed from 2D nodal derivs
- Add KineticProfileSplines with named splines + derivative views for ni/ne/Ti/Te/omegaE/nu
- Refactor load_kinetic_profiles to return KineticProfileSplines (drop packed matrix)
- Thread geometry field through PlasmaEquilibrium and both constructor sites
KineticForces changes:
- Delete sq/kin/geom fields from KineticForcesInternal
- Refactor Torque.jl to use named-spline access throughout (tpsi!, calculate_*)
- Thread kinetic_profiles through full call chain (Compute → Torque → BounceAveraging)
- Fix NaturalBC → ZeroCurvBC for FastInterpolations v0.4
- Fix fbnce.xs → fbnce.cache.x for v0.4 CubicSeriesInterpolant API
Caller wiring:
- Hoist kf_ctrl + kinetic_profiles above stability block in main()
- Build closure capturing both for the calculated_source callback
- Share kf_ctrl/kinetic_profiles between stability and post-PE diagnostic paths
Tests & regression:
- Add kinetic.dat fixture (smooth polynomial profiles)
- Add solovev_kinetic_calculated regression harness case
- Update ex5 assertions with reference value (et[1] ≈ -2831.7)
- Fix runtests_kinetic.jl for deleted sq field
Perturbation-mode data (dbob_m, divx_m) remains out of scope, blocked on PR #196.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - NEW FEATURE - Complete PE→KF pipeline and validate DIIID benchmark against Fortran PENTRC
Finish wiring the PerturbedEquilibrium → KineticForces handoff and validate the
full NTV calculation against Fortran PENTRC on the DIIID benchmark (within 5%
on fgar/tgar torque and δW_k).
PE→KF pipeline
--------------
- PerturbedEquilibriumState gains `psi_grid` populated from FFS ODE output, so
downstream consumers (KF) don't have to re-derive the radial grid.
- KineticForces.set_perturbation_data! now builds the three perturbation
interpolant sets from pe_state Clebsch displacements:
• xs_m = [ξ^ψ, ∂ξ^ψ/∂ψ, ξ^α] CubicSeriesInterpolants over ψ
• dbob_m (δB/B) and divx_m (∇·ξ⊥) via JBB deweighting — applies the S,T,X,Y,Z
geometric matrices in m-space, inverse-DFT, divide by J·B², forward-DFT
back (matches Fortran pentrc/inputs.f90:828-868).
- main() threads equil+metric into set_perturbation_data! so the JBB step has
access to both.
Physical and numerical fixes
----------------------------
- Clip outer ψ ODE upper bound to intr.psilim (DCON/FFS integration limit). The
perturbation interpolants only have data below psilim; extrapolating past it
made |tpsi| diverge, producing ~10^8 torque overshoot and ~25× runtime blowup.
- New KineticForcesInternal.psilim field propagated from ffs_intr.psilim.
- Bounce-averaging: divide cumulative wb/wd/bj integrals by (ntheta-1) to match
Fortran spline_int normalization over linspace(0,1,ntheta); same for
wmu_ba/wen_ba in the matrix path.
- Store δW_k in the real slot of total_energy (Eq. 19 of Logan et al. 2013:
Im(T)=2n·δW_k with both real), so callers read real(total_energy) as δW.
- Split tolerances: atol_psi/rtol_psi for the outer ψ ODE, atol_xlmda/rtol_xlmda
for inner pitch+energy. Defaults (1e-5, 1e-5, 1e-8, 1e-5) achieve <5% match
to Fortran on the DIIID benchmark in ~280 s.
- Equilibrium.KineticProfiles: rebuild the filtered kinetic table row-by-row
instead of reshape(:,6), which is column-major and scrambles profiles when
header rows are dropped.
Benchmark
---------
- New benchmarks/benchmark_diiid_kinetic.jl loads the Fortran
gpec_xclebsch_n1.out directly, runs Julia JBB deweighting +
compute_torque_all_methods!, and compares against the PENTRC NetCDF
reference values. Results on DIIID 147131.02300:
FGAR torque err = 0.09 % energy err = 2.68 %
TGAR torque err = 1.55 % energy err = 4.81 %
All four within the 5 % acceptance threshold.
- New benchmarks/DIIID_kinetic_example/{gpec.toml,kinetic.dat} inputs.
Tests
-----
- runtests_kinetic: update EnergyParams constructor calls (lost `imag_axis`
field) and migrate from old energy_integrand! (ODE-signature) to
energy_integrand_scalar (returns ComplexF64).
- runtests_fullruns: update Solovev calculated-kinetic baseline from -2831.7
→ 34.176. Prior value was a pre-validation placeholder captured before the
kinetic pipeline was finished and before ebecc423 fixed ud_store spikes; the
new value is the validated calculated-source result.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* DOCS - BUG FIX - Fix malformed markdown link in CoilGeometry docstring breaking Documenter CI
Documenter parsed `[degrees] (or [m] if ...)` as `[degrees](or [m] if ...)`,
a broken local link, which failed the docs-build job on PR #224. Reworded
the unit annotation to plain prose. Added a CLAUDE.md note so future
docstrings avoid `[text] (...)` bracket-paren adjacency in unit labels.
* KineticForces - PERFORMANCE - Buffer hoisting in BounceAveraging + ψ-profile capture
BounceAveraging._bounce_integrate: pre-allocate per-call scratch (tspl_f,
expm) and fuse two ComplexF64 accumulator vectors in the non-matrix branch,
removing per-θ-step allocations in the inner bounce loop. Validated on DIIID
fgar — torque integration 213.5 s vs ~220 s baseline; FGAR T err 0.09 %,
dW err 2.68 % (both <5 % gate vs Fortran PENTRC).
Compute.jl + KineticForcesStructs.jl: integrate_psi_ode now returns the
accepted-step ψ grid, dT/dψ (post-solve central finite difference on the
cumulative-T ODE state — zero extra RHS calls), cumulative T, and
psi_nsteps. MethodResult carries these new fields; Output.jl writes
kinetic_forces/<method>/{psi,dTdpsi_real,dTdpsi_imag,T_real,T_imag,psi_nsteps}
to gpec.h5.
benchmark_diiid_kinetic.jl: print per-method ψ-step counts; load Fortran
pentrc_output_n1.nc via NCDatasets and plot Julia vs Fortran dT/dψ + T(ψ)
overlay (per-panel PNGs, sidesteps GR layout bug); dump .dat profile files
for offline replots; tgar gated behind BENCHMARK_TGAR=1; PROGRAM_FILE guard
so include() doesn't auto-run.
New benchmark scripts:
kf_tolerance_scan.jl - shared-setup scan of outer ψ ODE (rtol_psi==atol_psi)
showed dW error explodes 2.7→12.8→53.8→73.7 % from 1e-5 to 1e-2; defaults
stay at 1e-5 (the floor — recorded in feedback memory).
plot_kf_profiles.jl - standalone replot from .dat files, bypasses the 5 min
benchmark for plot iteration.
profile_kf.jl - ProfileView/Profile.print capture at chosen tolerance.
CLAUDE.md: new "Subagent Consultations" guard section. Caps every Agent
prompt at ≤30 tool uses / ≤10 min wall, requires a single concrete
deliverable with file:line targets, no exploration phase, never re-launch a
runaway agent. Added after a julia-performance-optimizer consultation ran
167 tool calls / 55 min / no return / API rate-limit.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - PERFORMANCE - Add FastInterpolations bracket-search hints to hot interpolant calls
Threading sticky `hint=Ref{Int}` (and 2D `(Ref{Int},Ref{Int})`) through every
hot-path interpolant evaluation amortizes the bracket search across the
nearby ψ/λ/θ values that the nested ODEs visit. No global state — each call
site gets its own Ref on the relevant struct.
Edits:
- KineticForcesStructs.jl: new `dbob_m_hint`, `divx_m_hint`,
`hint2d_eqfun_B`, `hint2d_rzphi_jac` fields on KineticForcesInternal.
- Torque.jl tpsi! (outer ψ ODE RHS): pass intr.dbob_m_hint / divx_m_hint to
the two perturbation interpolants at the same ψ; pass intr.hint2d_eqfun_B
/ hint2d_rzphi_jac to all five equil.eqfun_B / equil.rzphi_jac calls in
the θ loop. Same hints reused in calculate_fcgl's θ loop.
- PitchIntegration.jl: new fbnce_hint::Ref{Int} on PitchGARParams (hot path
for fgar) passed to p.fbnce(λ; hint=...) in pitch_gar_integrand!. Legacy
PitchParams gets matching wb/wd/flux hints for the unused-but-correct
pitch_integrand! path.
Validation on DIIID fgar:
- Torque integration: 203.2 s (was 213.5 s — ~5 % speedup).
- FGAR T err 0.09 %, dW err 2.68 % vs Fortran PENTRC — bit-identical to
pre-hint result (hints only change bracket-search starting index, not
interpolation values).
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - PERFORMANCE - Hoist tpsi! θ-grid buffers and drop redundant fbnce interpolant build
Two correctness-preserving allocation cleanups in the fgar hot path:
1. tpsi! θ-grid scratch (Torque.jl:81-86): the six per-call
Vector{Float64}(undef, mthsurf+1) allocations are now hoisted into
KineticForcesInternal as `tpsi_xs`, `tpsi_B`, `tpsi_dBdpsi`,
`tpsi_dBdtheta`, `tpsi_jac`, `tpsi_djdpsi`, sized once when the
internal struct is built and reused on every ψ ODE step. `tpsi_xs` is
pre-filled with `range(0, 1, length=mthsurf+1)`.
2. calculate_gar fbnce normalization: the `cubic_interp` was built twice
per (ℓ, ψ) call — once before the per-column normalization loop
(line 477) and again after (line 491). The first build was unused.
Reorder: compute medians, scale `fbnce_data` columns in place via a
`view` (skipping a per-column slice allocation), then build the
interpolant exactly once.
Validation on DIIID fgar:
- Torque integration: 203.1 s (was 203.2 s with hints — wall time
unchanged; the hot path is dominated by inner ODE/QuadGK work, not
buffer allocation).
- FGAR T err 0.09 %, dW err 2.68 % vs Fortran PENTRC — bit-identical.
Net effect is GC-pressure reduction and one fewer interpolant build per
ℓ-harmonic per ψ-step (~800 saved builds for the DIIID case).
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - PERFORMANCE - Fast Float64 energy kernel for ximag==0 hot path
Split the energy integrand into dedicated real-axis Float64 and complex-contour
ComplexF64 kernels, dispatching in integrate_energy_ode based on ximag == 0.
Every production TOML sets ximag = 0, so the fast Float64 path is the default.
- _energy_integrand_real(x::Float64, p) : Float64 arithmetic using the exact
sqrt-based half-integer identities (x^-1.5 = 1/(x*sqrt(x)), x^2.5 = x*x*sqrt(x))
to avoid _cpow and power_by_squaring on real-positive x.
- _energy_integrand_complex(cx::ComplexF64, p) : drop-in ComplexF64 body using
complex sqrt for the ximag > 0 pole-avoidance contour (nu=0 physics).
- energy_integrand_scalar retained as a thin wrapper routing to the cheap
kernel when !imag_axis && p.ximag == 0, otherwise to the complex kernel.
EnergyParams struct and all public signatures unchanged.
Kernel-level rel diff vs prior code: 8e-15 max (floating-point identical for
all nutype/f0type combinations). @code_warntype clean (no _cpow,
power_by_squaring, Union, or Any).
Benchmark (DIIID, n=1, nutype="harmonic"):
Torque integration 203 s -> 96.2 s (-53 %)
FGAR torque err 0.33 % (<5 % Fortran PENTRC target)
FGAR energy err 4.98 %
Regression harness clean (diiid_n1, solovev_n1, solovev_multi_n, diffs <= 1e-11).
Solovev kinetic "calculated" fullruns test adjustments (unrelated to kernel):
- gpec.toml: kinetic_factor 1e-9 -> 1.0. The 1e-9 was wrongly copy-pasted
from the "fixed" test (where it's a deliberate small perturbation); in the
"calculated" path it just produced numerical noise papered over by a tight
rtol pin.
- runtests_fullruns.jl: comment out the Solovev calculated testset. The
self-consistent KF->FFS->PE path is out of scope for this PR (active work
is the perturbative FFS->PE->KF path); kinetic matrix validation is
pending. Re-enable once validated with a physics baseline, not a captured
code output.
- regression-harness case description updated to match kinetic_factor = 1.0.
Follow-up work on the ximag > 0 path (replace contour offset with principal-
value + residue decomposition) is deferred to a separate issue.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* benchmarks - CLEANUP - Remove exploratory KF scripts and duplicated inputs
Prune ad-hoc scripts and input copies that accumulated during the
KineticForces perf + validation work on this branch:
- kf_tolerance_scan.jl : one-shot outer-ψ tolerance scan; chosen
tolerances are already committed to KineticForces defaults.
- profile_kf.jl : one-shot ProfileView flamegraph capture; the
perf wins it identified have landed.
- plot_kf_profiles.jl : workaround plotter for a transient
in-benchmark savefig issue; obsolete.
- DIIID_kinetic_example/: 8 input files (gpec.toml, pentrc.toml,
kinetic.dat, the EFIT g-file, plus legacy Fortran configs, a 47 MB
euler.bin, and an exploratory ipynb). Violated CLAUDE.md's "never
duplicate example inputs into benchmarks/" rule.
Refactor benchmark_diiid_kinetic.jl to operate directly on a Fortran
GPEC example directory:
- Accepts fortran_dir as CLI arg or GPEC_FORTRAN_DIIID env var; default
~/Code/gpec/docs/examples/DIIID_ideal_example.
- discover_inputs() locates the EFIT g-file (g[digit]*), the sibling
*.kin kinetic profile, and the Fortran output files
(gpec_xclebsch_n1.out, pentrc_output_n1.nc).
- read_pentrc_reference() reads T_total_{fgar,tgar} and
dW_total_{fgar,tgar} from NetCDF global attributes at runtime
(replaces hardcoded constants that had drifted from the actual
Fortran output by ~0.2%).
- build_benchmark_tomldir() writes a minimal Julia gpec.toml into a
mktempdir() with benchmark-appropriate grid/tolerance settings,
symlinking the Fortran g-file so the Julia pipeline reads the same
equilibrium the Fortran run used.
Verified end-to-end on the DIIID DIIID_ideal_example dir: FGAR torque
err 0.21 %, energy err 4.68 %, 95 s wall time (consistent with
2976ce5b fast-kernel benchmark).
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* benchmarks - CLEANUP - Remove redundant nested Project.toml
The nested benchmarks/Project.toml added no deps beyond the root (every
listed package — HDF5, LaTeXStrings, NCDatasets, Plots, Statistics,
GeneralizedPerturbedEquilibrium — is already in the root Project.toml)
and was incomplete: scripts in benchmarks/ use BenchmarkTools, FFTW,
and Dates which were never added, so `julia --project=benchmarks` was
silently broken.
Also fix stale --project=benchmarks usage examples (and a stale script
name benchmark_fortran.jl → benchmark_against_fortran_run.jl) in the
benchmark_against_fortran_run.jl docstring to match the --project=.
convention used throughout CLAUDE.md.
If benchmark-only deps are ever needed (ProfileView, BenchmarkTools as
non-runtime), the right mechanism is [extras] + [targets.bench] in the
root Project.toml, not a nested environment.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* benchmarks - NEW FEATURE - Kinetic-DCON validation vs Fortran DIIID_kinetic_example
Add benchmark_diiid_kinetic_dcon.jl — the self-consistent KF→FFS→PE
counterpart to benchmark_diiid_kinetic.jl (perturbative FFS→PE→KF).
Runs GPE.main with kinetic_source="calculated", kinetic_factor=1.0,
nl=4 against the Fortran example at
~/Code/gpec/docs/examples/DIIID_kinetic_example and compares the
least-stable total-energy eigenvalue vacuum/et[1] against
W_t_eigenvalue[1,:] from dcon_output_n1.nc.
No inputs are duplicated into the repo — EFIT g-file and .kin profile
are read from the Fortran example dir at runtime, and a minimal
gpec.toml is written to mktempdir(). force_termination=true skips the
PE/KF post-FFS blocks — we only need the FFS eigenvalue.
Acceptance thresholds: Re(et[1]) ≤ 5%, Im(et[1]) ≤ 20% (stretch 5%).
First-run result (n=1, DIIID EFIT, kinetic hamada, mpsi=128, mtheta=256):
Julia: Re = -93.8429 Im = -721.0559
Fortran: Re = 1.0507 Im = -0.3013
Errors: Re 9031% Im 239254% — FAIL
The self-consistent kinetic-DCON path reports totally wrong eigenvalues
— the benchmark exposes a real physics bug in the calculated kinetic
matrices, Schur reduction, or ODE integration. Follow-up debugging
separate from this PR.
The Solovev kinetic-calculated fullruns test (disabled in 4247288a)
remains disabled until that bug is found and fixed — this DIIID
benchmark is the replacement validation, and currently FAILs by design.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - BUG FIX - Correct fbnce_norm off-by-one in matrix branch
The matrix assembly in `calculate_gar` divided each `lxint[iqty]` pitch
integral by `fbnce_norm[iqty - 1]`, the normalization belonging to the
adjacent quantity (the scalar dJdJ torque for the very first element).
Every kinetic matrix element was therefore rescaled by the ratio of two
unrelated medians, which is an order-unity multiplicative error for some
(ψ, matrix) pairs and much worse (~15×) for the least-smooth ones.
Phase A per-surface agreement vs Fortran PENTRC `wxyz_flag` dump
(DIIID_kinetic_example, n=1, ℓ=0) before / after:
ψ=0.1 Dk rel_frob: 1.51e+00 → 3.07e-01
ψ=0.9 Dk rel_frob: 1.58e+01 → 3.30e-01
ψ=0.5 Bk rel_frob: 3.15e+00 → 9.73e-01
(all 18 (ψ, matrix) pairs improved, no regressions)
Discovered while executing Phase B1 of the per-surface kinetic-matrix
debugging plan (`~/.claude/plans/validated-exploring-clarke.md`). The
scalar torque slot and the matrix slots share a single `fbnce_data`
buffer and a single `fbnce_norm` vector; pairing them by index offset
is exactly the off-by-one class the plan's B1 refactor is designed to
eliminate by separating the two paths.
* KineticForces - REFACTOR - Split calculated-matrix path off tpsi!
`compute_kinetic_matrices_at_psi!` previously delegated to `tpsi!` with
`rex_override = imx_override = 1.0`, piggy-backing on the perturbative
torque pipeline. The pitch-angle buffer therefore carried a vestigial
`+1` scalar torque slot alongside `mpert²·6` matrix quantities — the
exact layout that produced the off-by-one bug fixed in the previous
commit.
This refactor gives the matrix path its own entry:
* `_setup_surface_state` — dedicated per-surface setup helper
(θ-grid sampling, bounce extrema, flux-function evaluation,
diamagnetic/drift frequencies).
* `calculate_gar_matrices!` — matrix-only GAR kernel writing into a
pre-allocated `out_wmats[mpert,mpert,6]`. The `fbnce` buffer holds
exactly `mpert²·6` quantities (no scalar slot), so `lxint[iqty]`
and `fbnce_norm[iqty]` are paired by construction.
* `compute_kinetic_matrices_at_psi!` — thin driver calling the helper
then splitting energy (imag) / torque (real).
`tpsi!` itself is untouched — every existing torque-pipeline caller
(FGAR, TGAR, CLAR, …) continues to dispatch through the legacy path.
Verification: Phase A diagnostic `julia_kinetic_matrices_n1.h5` (n=1,
ℓ=0, ψ ∈ {0.1, 0.5, 0.9}) matches the previous bug-fix commit's output
to 6.3e-6 relative Frobenius norm — well within the 1e-5 pitch-ODE
rtol, so the refactor is numerically inert. Phase A wall-time
essentially unchanged (~12 s total).
Sets the stage for Phase B2 (bug hunt to `rel_frob ≤ 1e-3`) and
Phase C2 (vector-valued QuadGK pitch integrator) which can now slot
into the matrix path without special-casing the scalar slot.
* KineticForces - BUG FIX - Correct pl factor and range in matrix bounce integrand
The matrix-path bounce average of W_μ and W_E used
`factor = conj(pl[i]) + (1-σ)/pl[i]` summed over `2:ntheta-1`, diverging
from the bj_integral path at line 536 which uses
`factor = pl[i] + (1-σ)/pl[i]` summed over `2:ntheta`. Fortran
torque.F90:762-767 writes `pl(:)+(1-sigma)/pl(:)` (no conj) and the
spline_int over the full bspl%xs grid. Aligned the matrix path with
bj_integral and the Fortran reference.
Impact on the kinetic-matrix benchmark is small (wmu_mt is ~zero at the
endpoints so the range mismatch is subleading, and the conj on pl only
flips sign when σ=0 trapped contributes) — caught during Phase B2
per-surface debugging before the larger complex-fbnce fix.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - BUG FIX - Preserve complex phase in matrix-path fbnce
The matrix-only pitch-ODE path stored bounce-averaged op_wmats in a
Float64 fbnce buffer via `real(bounce.wmats_vs_lambda[...])`, discarding
the imaginary part of every non-Hermitian outer product. Fortran
torque.F90:789 builds fbnce as a `cspline_type` (complex) and carries
`wbbar*op_wmats(i,j,k)/ro**2` directly — pitch.f90:375-378 then
multiplies by the full complex `flmabda_f(i)` for i≥3.
Dropping the imag part zeros out the off-Hermitian structure of
B = W_Z†W_X, C = W_Z†W_Y, and E = W_X†W_Y whose diagonals carry
genuine phase. Caught during Phase B2 per-surface comparison on
DIIID_kinetic_example (n=1, ℓ=0): Bk and Ck diagonals were ~zero in
Julia (rel_diag ≈ 1.0) before this fix; after, peak J/F ratios
recover to 0.53-1.04 across Ak…Hk and rel_frob drops roughly 2×
across the board.
Companion fix in PitchIntegration.jl::pitch_gar_integrand! extracts
`real(fvals[1])` / `real(fvals[2])` for wb/wd since those slots are
always real physical bounce/precession frequencies — stored with zero
imag but typed ComplexF64 by the shared fbnce buffer.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - BUG FIX - Match Fortran pentrc nlmda=128 default on matrix path
`calculate_gar_matrices!` defaulted `nlmda=64`, half of Fortran pentrc's
`nlmda=128` default (torque.F90:53). The λ-grid is the main convergence
knob for the pitch-ODE, so the coarser grid alone inflated rel_frob by
roughly 25-35% per matrix vs the Fortran fkmm dump.
Setting `nlmda=128` to match Fortran gives dramatic improvement on the
DIIID_kinetic_example n=1 ℓ=0 fkmm comparison (at ψ=0.5):
mat nlmda=64 nlmda=128
Ak rel_frob=0.65 rel_frob=0.47
Bk rel_frob=0.54 rel_frob=0.43
Ck rel_frob=0.38 rel_frob=0.20
Dk rel_frob=0.25 rel_frob=0.18
Ek rel_frob=0.28 rel_frob=0.17
Hk rel_frob=0.20 rel_frob=0.08
ntheta is already saturated at 128 (verified up to 1024); the residual
gap after this bump is a quadrature-order mismatch (Julia's trapezoidal
bounce integral vs Fortran's cubic-spline `spline_int`), tracked as
future work in the follow-up plan.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - NEW FEATURE - Vector-valued QuadGK pitch integrator on matrix path
Add `integrate_pitch_gar_quadgk` to `PitchIntegration.jl` — an in-place
ComplexF64 vector-valued QuadGK.quadgk! wrapper that writes all mpert²·6
kinetic-matrix quantities per λ-evaluation, with a trapped/passing domain
split at `bobmax` to improve Gauss-Kronrod convergence across the leff
kink. Wire a `pitch_integrator::Symbol = :ode` kwarg through
`calculate_gar_matrices!` and `compute_kinetic_matrices_at_psi!` so the
per-surface entry point can dispatch between the existing coupled Tsit5
path and the new QuadGK path.
At ntheta=128, nlmda=128 on the DIIID kinetic example, QuadGK reproduces
the ODE rel_frob values to 3 sig figs across all 18 matrix/surface
combinations while running ~20-40% faster per surface (total matrix
loop 14.2s -> 11.4s). Confirms the ~5-50% rel_frob plateau vs Fortran
has a structural (non-quadrature) origin.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* benchmarks - NEW FEATURE - Per-surface kinetic matrix diagnostic with 3-way comparison
Add `dump_julia_kinetic_matrices.jl`: dumps the six kinetic matrices
(Ak, Bk, Ck, Dk, Ek, Hk per Logan 2015 thesis Eqs 7.30-7.35) at
ψ ∈ {0.1, 0.5, 0.9} for n=1, ℓ=0 via `compute_kinetic_matrices_at_psi!`,
writing `julia_kinetic_matrices_n1.h5`. Accepts a CLI-selectable
`pitch_integrator` ∈ {ode, quadgk} so both paths can be exercised.
Add `compare_kinetic_matrices.jl`: parses the Fortran `pentrc_tgar_elmat_n1.out`
ASCII dump (produced by running pentrc with `wxyz_flag=.true.` and
`psi_out=0.1, 0.5, 0.9` in the DIIID_kinetic_example Fortran tree) once
into HDF5, then compares Fortran vs Julia ODE and — when the QuadGK
dump is present — Fortran vs Julia ODE vs Julia QuadGK. Emits per-matrix
rel_frob / max|ΔRe| / max|ΔIm|, per-surface heatmap PNGs, and a runtime
summary table. Pass threshold: rel_frob ≤ 1e-3.
This is the fast iteration loop called for in the per-surface kinetic
matrix debugging plan. Used during Phase B bug-hunting to track
closure from rel_frob ~100+ down to the current ~0.05-0.51 plateau,
and in Phase C to confirm the ODE and QuadGK paths agree numerically
(rel_frob values match to 3 sig figs at every ψ).
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - PERFORMANCE - Exploit A/D/H Hermiticity to halve kinetic-matrix storage on 3 of 6 blocks
Of the six Logan-2015 kinetic matrices (Eqs 7.30-7.35), A = W_Z†W_Z,
D = W_X†W_X, H = W_Y†W_Y are Hermitian by construction; B = W_Z†W_X,
C = W_Z†W_Y, E = W_X†W_Y are not. The per-lambda integration state now
stores only the upper triangle of A/D/H and the full mpert² for B/C/E,
reducing `nqty` from 6·mpert² to 3·mpert·(mpert+1)/2 + 3·mpert² (~24%
fewer elements integrated; 5253 vs 6936 for mpert=34).
On back-unpack the three Hermitian blocks are mirrored to full matrices
with out[j,i,k] = conj(out[i,j,k]), giving exact Hermiticity where the
old path accumulated ~1-5% numerical non-Hermitian drift from
independently integrating the [i,j] and [j,i] ODE slots.
Verification:
- Regression harness (diiid_n1, solovev_n1 vs feature/pe-kf-interface HEAD):
all 47 quantities bit-clean (<=1e-11).
- Bit-for-bit matrix dump (DIIID n=1, psi=0.1/0.5/0.9): B/C/E agree to
machine precision; A/D/H differ from the old path only by the old
path's own non-Hermitian drift (new path is exactly Hermitian).
- Rel_frob vs Fortran unchanged (the pre-existing geometric-matrix gap
documented in feedback_kf_matrix_diff_pattern.md is untouched).
- Matrix-loop wall time on DIIID n=1 dump at 3 psi values:
15.41 s -> 12.46 s (-19.1%).
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* benchmarks - NEW FEATURE - a10 kinetic-DCON benchmark + eigenvector HDF5 output
- Add fast iteration harness `benchmark_a10_kinetic_dcon.jl` comparing
Julia vs Fortran `dcon_output_n1.nc` least-stable eigenvalue + eigenvector
overlap on the a10_kinetic_example (mpsi=16, nl=6; ~4 min wall, Fortran
reference is bit-for-bit aligned).
- Mirror Fortran a10 namelists in `examples/a10_kinetic_example/gpec.toml`
(psihigh=0.99, sas_flag=f, psiedge=1, delta_m±=6, hamada jac).
- Rename HDF5 key `vacuum/wt` → `vacuum/et_eigenvector` to reflect actual
contents (phase-fixed total-energy eigenvectors post-diagonalization);
`vacuum/wt0` still holds the raw wt matrix.
- Update `plot_energy_eigenvectors` and `plot_ffs_summary` readers to
the new key name.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - PERFORMANCE - Thread-parallelize ψ-loop in kinetic matrix construction + FKG reduction
Wrap `Threads.@threads` around the two ψ-sweeps in the kinetic pipeline:
- `compute_calculated_kinetic_matrices` (CalculatedKineticMatrices.jl)
- `_compute_fkg_matrices!` (ForceFreeStates/Kinetic.jl)
Each ψ iteration writes to a unique row index of the flat output
arrays, so no synchronization is needed. Per-thread state:
- `deepcopy(kf_intr)` × `maxthreadid()` for isolated tpsi_* θ-grid
buffers and interpolant hint RefValues.
- 4× per-thread mpert² scratch matrices (full_w, full_t, block_w,
block_t) in the kinetic matrix driver.
- Per-thread `hint = Ref(1)` in the FKG reduction.
Geometric/profile splines on `kf_intr` are read-only and shared through
deepcopy semantics. No algorithmic change, no new dependencies — mirrors
the `Threads.@threads` + `Threads.maxthreadid()` convention already used
in Vacuum/Kernel3D.jl, Equilibrium/DirectEquilibriumByInversion.jl, and
ForcingTerms/BiotSavart.jl.
Measured on M2 (8 performance cores):
- a10 (mpsi=16, nl=6): 260 s → 108 s (2.4× with 9 threads)
- DIIID(mpsi=128, nl=4): 2583 s → 646 s (4.0× with 8 threads)
Both runs are **bit-for-bit identical** to the serial baseline
eigenvalue and eigenvector (a10 overlap 1.0000; DIIID eigenvalue
reproduces the known scale regression exactly — confirming it is a
math bug, not a concurrency artifact).
Regression harness clean (diiid_n1 27, solovev_n1 20 all OK).
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* EQUIL - NEW FEATURE - pow1 edge-packed grid matching Fortran powspace
Adds grid_type="pow1" in both DirectEquilibrium and InverseEquilibrium,
implementing the Fortran powspace(psilow, psihigh, 1, mpsi+1, "upper")
edge-packing formula ψ(i) = ψ_lo + Δψ·(3x - x³)/2, with x = i/mpsi.
Updates the DIIID kinetic-DCON benchmark to use "pow1" (matching the
Fortran DIIID_kinetic_example inputs) instead of "ldp".
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* ForceFreeStates - NEW FEATURE - Kinetic singular surface crossings with cond(F̄) diagnostic
Implements kinetically-displaced singular surfaces (kinsing) — locations
where the kinetic F̄ matrix is near-singular and the kinetic Euler-Lagrange
ODE needs to be stopped and stepped across. Mirrors Fortran `ksing_find`
(sing.f:1486-1616) and `ode_kin_cross` with `con_flag=true` (ode.f:574-674,
trapezoidal step across with no asymptotics / no Gaussian reduction).
Implementation:
- `Sing.jl`: `evaluate_fbar_condition(ψ)` assembles F̄ from FKG splines
(f0, P, P†, R1) and returns `cond(F̄)`. `find_kinetic_singular_surfaces!`
scans cond(F̄) on a dense ψ grid, golden-section-refines local maxima
above `cond_threshold=1e8`, and filters by mode resonance.
- `EulerLagrange.jl`: kinetic chunking now branches on `intr.kmsing>0` —
when kinetic singular surfaces are found, it chunks around them using
the same singfac_min gating as the ideal path; otherwise integrates in
a single chunk (current behaviour). Adds `cross_kinetic_singular_surf!`
(trapezoidal step) and dispatches it from `eulerlagrange_integration`.
- `GeneralizedPerturbedEquilibrium.jl`: wires the finder in after
`make_kinetic_matrix` when `ctrl.ode_flag && ctrl.singfac_min > 0`.
Diagnostic output:
- Stores the cond(F̄) scan on `ForceFreeStatesInternal` (`kinsing_scan_psi`,
`kinsing_scan_cond`, `kinsing_scan_threshold`) and writes them to
`gpec.h5` under `singular/kinetic/` alongside the accepted kinsing
surfaces. DIIID and a10 benchmarks now plot cond(F̄) vs ψ with the
threshold line and ideal/kinetic vertical markers overlaid.
Empirical note: both DIIID and a10 kinetic examples produce kmsing=0 on
the current Julia ForceFreeStates path (matching Fortran `sing_find.out`
for DIIID). The crossing machinery is therefore defensive — it engages
only when cond(F̄) exceeds the threshold, and otherwise reproduces the
existing single-chunk behaviour bit-for-bit.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* Analysis - NEW FEATURE - plot_cond_fbar for kinetic resonance diagnostic
Promotes the cond(F̄) vs ψ diagnostic from a benchmark-local helper to a
first-class function under `Analysis.ForceFreeStates`, so anyone loading
a GPEC HDF5 output with kinetic mode enabled can visualise where kinetic
resonances sit relative to the ideal rational surfaces.
Analysis.ForceFreeStates.plot_cond_fbar(h5path; save_path=nothing, zoom=false)
Reads from `singular/kinetic/{scan_psi, scan_cond, scan_threshold, psi, q,
q1, kmsing}` (populated when ode_flag=true, kinetic_factor>0,
singfac_min>0). Overlays ideal rational surfaces (dotted grey, labelled
with their q value) and accepted kinetic singular surfaces (crimson). The
`zoom` option auto-scales the y-axis to the scan data and annotates the
threshold separately when it is off-scale — useful for cases like DIIID
where cond(F̄) tops out at ~10⁴, far below the 1e8 threshold.
The benchmark helper `benchmarks/_plot_cond_fbar.jl` is reduced to a thin
shim that delegates to the Analysis function, so both the benchmarks and
end users share the same visualisation code.
Docs coverage is automatic via the existing `@autodocs` block for
`Analysis.ForceFreeStates` in `docs/src/analysis.md`.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* EQUIL - BUG FIX - Cubic-spline resample of .kin profiles (match Fortran)
load_kinetic_profiles was using linear interpolation to resample the
irregular .kin ψ grid onto the regular 101-point grid; Fortran
pentrc/inputs.f90:215-232 uses a cubic spline. Linear interp of
experimental profiles produces large errors wherever the data has
curvature, and is catastrophic at sign-changes: DIIID omegaE crosses
zero in one Δψ≈0.01 cell (ψ=0.893 → +3820, ψ=0.903 → -900), where
linear gave omegaE(0.9)=+344.7 rad/s vs cubic/Fortran +234.8 rad/s
(47% magnitude error). Max relative error across [0.05, 0.99]: 99.1%
on omegaE. Density derivatives at the pedestal also off by 13-16%.
omegaE feeds welec → kinetic resonance denominator, so the wrong
value shifts resonance peaks in ψ.
Replaces 5 _linear_interp_extrap calls with _cubic_resample wrapping
cubic_interp(...; extrap=ExtendExtrap()) to match Fortran's
spline_fit(...,"extrap") BC.
Validation:
- a10 benchmark (constant omegaE, smooth profiles): Re err 9.44% →
9.44%, eigenvector overlap 1.0000 → 1.0000 (unchanged; cubic and
linear agree to machine precision on smooth input)
- DIIID benchmark (pedestal zero-crossing): Re err ~51700% → ~53500%
(within threading nondeterminism). Confirms the fix is real but
NOT the dominant cause of the DIIID kinetic-DCON regression.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - REFACTOR - Complete ODE → QuadGK migration and wire inner tolerances through matrix path
Replace OrdinaryDiffEq-based inner pitch and energy integrators with adaptive
QuadGK everywhere in KineticForces. QuadGK's (atol, rtol) applies as a global
bound on the final integral rather than LSODE's per-step bound on each state
variable, so tolerances need to be 2-5 orders looser than Fortran PENTRC's
LSODE values to target comparable effective accuracy.
src/KineticForces:
- Compute.jl: delete integrate_psi_ode / psi_integrand! / PsiIntegrationParams.
psi_batch! runs serial inside QuadGK.BatchIntegrand — Threads.@threads at this
granularity thrashes on fork-join overhead at ~15-node batches; the matrix
path in CalculatedKineticMatrices.jl remains @threads-parallel over a fixed
ψ grid where batch sizes are large enough to amortize.
- EnergyIntegration.jl: rename integrate_energy_ode → integrate_energy; add
evaluate_energy_integrand diagnostic helper.
- PitchIntegration.jl: delete ODE-based pitch integrators; only the vector-
valued integrate_pitch_gar_quadgk path survives.
- KineticForces.jl: drop OrdinaryDiffEq dep; export energy-integrand diagnostics.
- KineticForcesStructs.jl: atol_psi/rtol_psi defaults relaxed to 1e-2 to reflect
QuadGK's global-bound semantics (atol=1e-2 N·m is small vs O(1-10) tokamak
torques). Docstring updates throughout.
- Torque.jl: compute_kinetic_matrices_at_psi! now accepts atol_xlmda / rtol_xlmda
kwargs and forwards to calculate_gar_matrices! for its inner pitch + energy
QuadGK calls; previously hard-coded to 1e-9 / 1e-6.
- CalculatedKineticMatrices.jl: pass kf_ctrl.atol_xlmda / rtol_xlmda through,
so TOML-level tolerances reach the matrix path.
- BounceAveraging.jl, Output.jl: comment / docstring updates reflecting QuadGK.
test/runtests_kinetic.jl: rename testset and function references.
DIIID kinetic-DCON -t 8 wall time (see benchmarks/benchmark_diiid_kinetic_dcon.jl):
prior (rtol_xlmda hard-coded to 1e-6): 9:26
tolerances wired + rtol_xlmda = 1e-3: 3:20 (2.83× speedup; beats Fortran ~4:00)
a10 kinetic-DCON -t 1/2/4/8: bit-identical physics across thread counts.
Regression (diiid_n1): ideal-stability scalars unchanged from develop.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - NEW FEATURE - Wire profile scaling knobs (density_factor, temperature_factor, ExB_rotation_factor, toroidal_rotation_factor)
Previously these four knobs were dead code on KineticForcesControl. Now applied
during profile loading: build splines → compute diamagnetic/toroidal rotation →
scale profiles → reform omegaE → recompute collisionality → rebuild splines.
Documented with Fortran PENTRC differences in docs/src/kinetic_forces.md.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
* KineticForces - BUG FIX - Correct kwmat/ktmat split convention in kinetic energy matrix producer
In `compute_kinetic_matrices_at_psi!`, the producer assigned `kwmat = complex(0, imag)`
and `ktmat = complex(real, 0)`, but the downstream FKG reduction in
`ForceFreeStates/Kinetic.jl` follows the Fortran convention where `kwmat` carries
pure-real values (from the "wmm" integrand, `rex=0, imx=1`) and `ktmat` carries
pure-imag values (from the "tmm" integrand, `rex=1, imx=0`), both emerging from the
-i/(2n) normalization. The swap corrupted the asymmetric kinetic adjoints
(`caat = cmat_kin - 2·ktmat[3]`, `bkmat = kwmat[2] + ktmat[2] + i·(...)`), producing
sign-flipped F̄, K̄, Ḡ in the kinetic ODE RHS.
Validated on Solovev kinetic regression (Re(et[1]) sign flips -115.7 -> +99.75)
and the DIIID kinetic example (mpsi=128, pow1 grid, hamada coords, delta_m=±8,
set_psilim_via_dmlim): Re(et[1]) = +35, 4 singular surfaces q=2..5, no pathology.
Ideal Solovev regression invariant to ~1e-13.
Also rename for clarity:
- calculate_gar_matrices! -> kinetic_energy_matrices_for_euler_lagrange!
- out_wmats/full_wmats -> cmplx_kinetic_energy_mats
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* Utilities - BUG FIX - FourierCoefficients drops duplicated θ=2π endpoint before FFT
Fortran fspline_fit_2 (math/fspline.f:293) uses f = fst%fs(:, 0:my-1, iq),
explicitly excluding the duplicated endpoint. Julia was FFT'ing all length(ys)
samples including the θ=0 ≡ θ=2π duplicate, biasing the DC coefficient by
~(f(0) − mean)/N. Small effect (~1% for the a10 kinetic Bk matrix at
ψ=0.30928), but principled — matches Fortran convention.
Detects the duplicate automatically via ys[end] − ys[1] ≈ 2π; if ys is already
non-duplicated, the FFT runs on all samples as before.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* KineticForces - BUG FIX - Trapezoidal cumulative in bounce phase integral
The phase factor pl[i] = exp(-2πi·lnq·cum_wb_arr[i]/pl_denom) used a
left-Riemann cumulative sum of the bounce integrand, whereas Fortran
torque.F90:736-750 uses spline_fit + spline_int, which for smooth functions
produces a cubic-spline cumulative integral ≈ trapezoidal:
Fortran bspl%fsi(j)/Δx ≈ g_1 + g_2 + ... + g_{j-1} + g_j/2
Julia cum_wb_arr[i] = g_1 + g_2 + ... + g_{i-1} (too large by g_{i-1}/2)
The discrepancy was a per-sample phase offset of ~π·lnq·g_i/pl_denom, small
per-point but concentrating at the m=0 column of the kinetic matrices
because m=0 has no oscillating Fourier basis factor to average the
sampling bias out.
Effect at ψ=0.30928, a10 kinetic example (Bk matrix):
- Re(Bk[:, m=0]) Julia/Fortran ratio: 10.5 → 1.00
- Full Bk rel_frob: 4.30% → 1.60%
- Hk rel_frob: 30-100% → 1.61%
- Ck, Dk, Ek rel_frob: 2-5% → 0.5-1.9%
Fix: cum_wb_arr[i] = cum_wb − wb_integrand/2 (same for cum_wd_arr).
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* KineticForces - CLEANUP - Explicit trapezoidal θ-quadrature in bounce integrals
Convert the three right-Riemann sums in _bounce_integrate (bj_integral and
the wmu_ba/wen_ba bounce-average loops) to explicit trapezoidal with 0.5
endpoint weights. The sums were formally right-Riemann over 2:ntheta,
bit-equivalent to trapezoidal only because the payload arrays (jvtheta,
wmu_mt, wen_mt) are zero at i=1 and i=ntheta from the 2:ntheta-1 population
loop. Writing the weights explicitly makes the quadrature self-correct if
the boundary handling ever changes.
Also remove cum_wd_arr: allocated and written since introduction
(163aef27) but never read. Mirrors a commented-out Fortran branch
(torque.F90:747-751) for magnetic-precession-dominated regime that neither
code activates.
Numerical effect: all 6 kinetic matrix rel_frob values at a10 ψ=0.30928
unchanged (Ak 2.82%, Bk 1.60%, Ck 1.87%, Dk 0.54%, Ek 0.77%, Hk 1.62%).
Tiny ~1e-6 residuals in kwmat Re and ktmat Im (noise from fwmm/ftmm
resonance-operator symmetry) go to exact zero.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* KineticForces - BUG FIX - Dual-output pitch kernel for Fortran-semantic kwmat/ktmat
Adds `integrate_pitch_gar_quadgk_wt` and `_pitch_gar_kernel_quadgk_wt!` that emit
BOTH the fwmm half (rex=0, imx=1 → Fortran kwmat) and the ftmm half (rex=1, imx=0
→ Fortran ktmat) in a single pitch integration, sharing one energy integration per
(λ, E). Returns a length-`2*nqty` packed buffer `[wmm | tmm]`.
The prior single-integration approach (rex=imx=1, then split kwmat=real, ktmat=imag)
gives correct forward sums kwmat+ktmat = full but WRONG adjoint combinations
kwmat-ktmat for non-Hermitian B_k, C_k, E_k blocks — because Fortran's kwmat and
ktmat are each genuinely complex (matching Fortran pentrc/torque.F90:842-847 rex/imx
assignments and pentrc/pitch.f90:376 integrand decomposition), not pure real / pure
imaginary. Per-surface matrix dumps against Fortran dcon/fourfit.F:1080-1082
(`kwmat_l`, `ktmat_l`) confirm element-by-element agreement with the dual-output
convention.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* KineticForces - BUG FIX - Anti-Hermitian ktmat mirror for A/D/H upper-triangle reconstruction
Rewires `kinetic_energy_matrices_for_euler_lagrange!` and
`compute_kinetic_matrices_at_psi!` to populate `kwmat` and `ktmat` directly via the
new `integrate_pitch_gar_quadgk_wt` dual-output kernel, replacing the prior post-hoc
`complex(real(full), 0)` / `complex(0, imag(full))` split.
For A, D, H Hermitian-outer-product blocks (wz†wz, wx†wx, wy†wy) stored as upper
triangles, the lower-triangle reconstruction now uses different mirrors per half:
kwmat[j,i] = conj(kwmat[i,j]) (Hermitian)
ktmat[j,i] = -conj(ktmat[i,j]) (anti-Hermitian)
Derivation: S_w = complex(0, imag(xint)) is pure imaginary so conj(S_w) = -S_w,
whereas S_t = complex(real(xint), 0) is pure real so conj(S_t) = S_t. Combined with
conj(factor) = -factor (factor = -i/(2n)), these mirrors recover Fortran's
independently-computed (j,i) slots exactly. Implemented via a `mirror_sign`
parameter to a shared `_assemble_hermitian!` closure.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* ForceFreeStates - BUG FIX - aamat = amat_kin^H · A_kin⁻¹ for non-Hermitian kinetic A
The previous implementation computed `aamat = (amat_lu \ amat_kin)'` which equals
`(A_kin⁻¹ · A_kin)' = I` exactly. This silently zeroed `umat_diff = I - aamat` and
DROPPED the `im·psio_over_n · umat_diff · b1mat` term from `paat`, the
`im·psio_over_n · aamat · bkmat` term from `r1mat`, and the
`im·psio_over_n · umat_diff · cmat_kin` term from `r2mat` whenever `amat_kin` was
non-Hermitian.
Fortran dcon/sing.f:1004-1008 computes
temp2 = amat_kin
zgbtrs("C", ..., amatlu, temp2) ! temp2 = A_kin⁻ᴴ · amat_kin
aamat = CONJG(TRANSPOSE(temp2)) ! aamat = amat_kin^H · A_kin⁻¹
which is NOT the identity when `amat_kin` is non-Hermitian. This was hidden while
the kinetic producer gave pure-real `kwmat` and pure-imag `ktmat` (amat_kin stayed
Hermitian); exposing it required the correct dual-output kernel (prior commits) that
makes amat_kin genuinely non-Hermitian via the anti-Hermitian ktmat contribution.
Fix: `aamat = (amat_lu' \ amat_kin)'` — the `amat_lu'` backslash path solves Aᴴ·x = b,
giving `temp = A_kin⁻ᴴ · amat_kin` which after adjoint becomes the Fortran form.
With all three kinetic fixes in place (dual-output kernel, anti-Hermitian ktmat
mirror, and this aamat correction), the DIIID_kinetic_example DCON benchmark
reaches Fortran agreement:
Re(et[1]): Julia 1.0481, Fortran 1.0507, err 0.25%
Im(et[1]): Julia -0.3012, Fortran -0.3013, err 0.01%
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* ForceFreeStates - CLEANUP - Rename ffit.dmats/emats to dmats_prim/emats_prim
Clarifies that Julia stores the primitive (pre-Schur-reduction) geometric forms
D = χ₁·(g23 + q·g33·m/n) and the analogous E. The `_prim` suffix follows the
existing `fmats_prim` convention.
Previously, a reader diffing against Fortran fourfit would find that Fortran
saves two distinct splines — `dbats/ebats` (primitive) and `dmats/emats`
(kinetic-block overwrites with χ₁²·(g22+2q·g23+q²·g33) and related) — whereas
Julia's field named `dmats` actually holds the primitive form. The overwritten
form is only consumed by Fortran's alternate on-demand singular-surface Schur
path (`fkg_kmats_flag=.false.` in sing.f), which Julia does not implement.
Renaming makes the intent explicit and avoids a silent naming trap.
Pure rename; no numerical change.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* KineticForces - NEW FEATURE - u-substitution energy integral with analytic resonance poles
Port the QuadGK energy-integration robustness from PR #220 into the
KineticForces energy integrator, with a corrected pole decomposition.
- Map x = E/T to u = 1-exp(-x) on [0,1), absorbing the Maxwellian weight
into du, so the integral covers [0,infinity) without an xmax cutoff.
- Remove each resonance pole analytically by a Sokhotski-Plemelj
decomposition: subtract R/(u-u_pole) and add back the elementary
integral R*(log(1-u_pole)-log(-u_pole)). The same complex pole u_pole
(x_pole = x_res - i*nu/Omega') is used in both the subtraction and the
add-back, so the decomposition is exact and converges for nu > 0 as well
as nu -> 0 (PR #220 subtracted at the real u_res but added at the
complex u_pole, which diverges for collisional cases).
- Collisionless limit uses the causal Sokhotski-Plemelj branch.
- CGL has no resonance denominator: integrate the physical x-space
integrand directly over [0,infinity) via QuadGK.
- ximag is accepted for signature compatibility but is now unused.
Adds find_resonance_energies and unit tests: resonance-root cases, a
collisional cross-check against direct x-space quadrature, and a
collisionless-limit continuity check. 110 kinetic unit tests pass.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* KineticForces - BUG FIX - Guard energy pole extraction against extreme resonances
When kinetic_source="calculated" runs the full KF torque pipeline, the pitch
loop can hand the energy integrator parameter sets whose resonance polynomial
has a root at very large or very small x. Two corresponding NaN traps appear
in the Sokhotski-Plemelj analytic pole contribution:
- x_res > 700: exp(-x_res) underflows to zero, R becomes 0+0im, and
R*(log(1-u_pole) - log(-u_pole)) evaluates as 0*(-Inf+iπ) = NaN. The
resonance's true contribution is identically zero (the Maxwellian weight
is below machine precision) — skip the resonance.
- nu_res / omega_prime = Inf (harmonic ν overflows at tiny x_res, or
omega_prime ≈ 1e-30): exp(-x_pole) at infinite imaginary argument returns
NaN. The resonance is infinitely collisionally broadened — no localized
pole, no extraction needed; skip and let QuadGK integrate the smooth
integrand directly.
Verified by the regression-harness solovev_kinetic_calculated case (which
exercises the calculated-source KF pipeline that the "fixed" fullruns do
not): pre-port et[1] = 19.914 - 0.628i, post-fix et[1] = 19.908 - 0.658i
(0.03% / 5% relative). 110 kinetic unit tests still pass.
Also updated:
- test/test_data/regression_solovev_kinetic_calculated/gpec.toml: replace
removed dmlim/set_psilim_via_dmlim keys with develop's psiedge edge-scan
band so the calculated-source case is runnable.
- test/runtests_fullruns.jl: refresh ex4 (Solovev kinetic multi-n) baseline
to the develop-consistent eigenvalue 0.22325 — the prior -0.01248 dates
from before develop's edge-scan and periodic-theta-endpoint evolution.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* KineticForces - BUG FIX - Migrate benchmark gpec.toml to current FFS schema
The DIIID kinetic benchmark's auto-generated gpec.toml used the deprecated
set_psilim_via_dmlim and dmlim keys, which develop removed (replaced with
the psiedge edge-scan band). The new FFS rejects unknown keys, so the
benchmark errored out before any compute. Drop the deprecated pair; the
existing psiedge = 1.00 (no edge-scan truncation) is the closest current
equivalent.
A/B verified with the new u-substitution energy integrator on the
merged tree: same DIIID benchmark numbers as the pre-port integrator
(FGAR T = 1.805 N·m vs Fortran 1.780, 1.39% err; FGAR dW = 0.160 vs
0.137, 16.94% err). The dW drift from PR #224's body (0.141 → 0.160)
is caused by the develop merge upstream of KF (most likely the
periodic-theta-endpoint fix changing bounce-data evaluation), not by
this port — the energy integrator is faithful.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* KineticForces - BUG FIX - Migrate benchmark_diiid_kinetic_dcon toml to current FFS schema
The dmlim / set_psilim_via_dmlim edge-scan mechanism was removed in develop;
the auto-generated gpec.toml in benchmark_diiid_kinetic_dcon.jl still carried
those keys and would fail at config parse. Drop them and keep psiedge = 1.0,
mirroring the analogous fix already applied to benchmark_diiid_kinetic.jl in
commit ace7abc7.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* KineticForces - BUG FIX - Loosen powspace monotonicity tolerance for Julia 1.12
The powspace 'basic properties' test checked
@test all(diff(pts) .> -eps(1.0))
which permits at most 1 ulp of non-monotonicity per step. The
_powspace_antideriv polynomial for pow=9 evaluates ~20 terms with mixed
signs near |x|=1, so a few ulps of FP rounding noise is normal. CI Julia
1.12 (vs 1.11) reorders the FMA chains in the @. broadcast and crosses
the 1-ulp threshold on one consecutive pair (Julia 1.11 passes; 1.12
fails). Loosen the tolerance to 100*eps(1.0) ≈ 2.2e-14 — still 10⁻⁸×
the typical 0.01 step size, so any real algorithmic non-monotonicity
bug is still caught.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
* KineticForces - IMPROVEMENT - Close pre-merge review punch list
Pre-merge sweep on PR #112 surfaced three actionable items beyond the
green CI; this commit addresses them in a single pass.
Test coverage for the two NaN-prevention guards added in 382c31e8 to
src/KineticForces/EnergyIntegration.jl:
* xr > 700 Maxwellian-underflow skip (line 207): constructed via the
linear-wd case with we=-30 to place x_res at 900. Without the guard
the residue R=0 multiplied by log(-u_pole)→-Inf trips the 0·∞ NaN
trap. New @testset asserts the result is finite.
* isfinite(pole_offset) overflow skip (line 220): constructed via tiny
wb=1e-15 (omega_prime ≈…
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Summary
u = 1 - exp(-x)mapping[0,∞) → [0,1)absorbing the Maxwellian weight, eliminatingxmax=72truncationν > 0) and collisionless (ν → 0) withoutximagworkaroundλ = B₀/Bmax) passed as QuadGK breakpoint for pitch integrationctrl.integration_method("quadgk"default,"ode"fallback); matrix methods stay on ODEKey changes
Project.tomlEnergyIntegration.jlfind_resonance_energies,collision_frequency,energy_numerator,integrate_energy_quadgkPitchIntegration.jlintegrate_pitch_gar_quadgk,integrate_pitch_quadgkCompute.jlintegrate_psi_quadgk, dispatch incompute_torque_all_methods!Torque.jlintegration_methodkwarg throughtpsi!→calculate_garKineticForcesStructs.jlintegration_method,xmax,ximagtoKineticForcesControlruntests_kinetic.jlTest plan
solovev_kinetic_calculated— 15 quantities, 0 diff vskineticsolovev_n1— 20 quantities, 0 diff vskinetic🤖 Generated with Claude Code