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Resonant Fractal Nature Theory — a mathematical framework for coherent patterns on graph-coupled networks.

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© 2026 TNFR project — MIT licensed.DOI 10.5281/zenodo.17602860
docs
grammar
PHYSICS_VERIFICATION.md
API_CONTRACTS.mdCANONICAL_OZ_SEQUENCES.mdEMPIRICAL_CONFRONTATION_EEG.mdREADME.mdSTRUCTURAL_FIELDS_TETRAD.mdSTRUCTURAL_INTERFACE_THEORY.md
theory
APPLIED_STRUCTURAL_ANALYSIS.mdCATALOG_TYPE_HYGIENE_PROGRAMME.mdDISSIPATIVE_AND_OPEN_SYSTEMS.mdEMERGENT_ONTOLOGY.mdEXTENDED_FIELDS_AND_DERIVED_QUANTITIES.mdFUNDAMENTAL_THEORY.mdGAUGE_SYMMETRY_AND_UNIFICATION.mdGLOSSARY.mdMATHEMATICAL_DYNAMICS_BASIS.mdMINIMAL_STRUCTURAL_DEGREES.mdNUCLEUS_A_PRIME_LADDER_ATLAS.mdNUCLEUS_B_EQUIVARIANCE_OBSTRUCTIONS.mdPHYSICAL_REGIME_CORRESPONDENCES.mdREADME.mdREMESH_INFINITY_DERIVATION.mdSTRUCTURAL_CONSERVATION_THEOREM.mdSTRUCTURAL_OPERATORS.mdSTRUCTURAL_STABILITY_AND_DYNAMICS.mdTNFR_BSD_RESEARCH_NOTES.mdTNFR_HODGE_RESEARCH_NOTES.mdTNFR_NAVIER_STOKES_RESEARCH_NOTES.mdTNFR_NUMBER_THEORY.mdTNFR_P_VS_NP_RESEARCH_NOTES.mdTNFR_RIEMANN_RESEARCH_NOTES.mdTNFR_VARIATIONAL_PRINCIPLE.mdTNFR_YANG_MILLS_RESEARCH_NOTES.mdTNFR.pdfUNIFIED_GRAMMAR_RULES.md
factorization-lab
analysis
analyze_patterns.pycertificate_manifest.py
benchmarks
benchmark_analysis.pybenchmark_expansion_suite.pyfull_spectrum_factorization.pypaley_gap_extended.pypaley_gap_smoke.pytest_benchmark_suite.py
demos
experiment_contexts
exp_0b1663cd19b7.jsonexp_0bf0054b7474.jsonexp_75a4c8ca616a.jsonexp_848ee0fd1857.jsonexp_f6fe00562193.jsonexp_fdf3da424e1e.json
failure_telemetry_batch.pyfeedback_integration_demo.pyintegration_demo_snapshots.dbseed_management_integration_demo.pysnapshot_integration_demo.pytrajectory_143.jsontrajectory_77.jsontrajectory_89.jsontrajectory_91.jsontrajectory_97.json
docs
FACTORING_PLAYBOOK.mdFALSE_POSITIVE_TEST_SUITE.mdOPERATOR_CERTIFICATES.mdROADMAP.mdSPECTRAL_ROUTE.md
experiment_contexts
exp_cebe1d9e7d8e.json
notebooks
spectral_history.ipynb
scripts
run_false_positive_tests.py
tests
run_false_positive_test_suite.pytest_cli.pytest_false_positive_methodology.pytest_false_positive_verifier.pytest_feedback_integration.pytest_partitioning.pytest_seed_management.pytest_self_opt_support.pytest_snapshot_system.pytest_spectral_paley.pytest_verification_robustness.py
tnfr_factorization
__init__.pyapi.pycli.pyfailure_telemetry.pyfeedback_adapter.pyfeedback_integration.pypartitioning.pyself_opt_support.pyspectral_paley.py
demo_snapshots.dbLICENSE_SNAPSHOT.mdPACKAGE_SUMMARY.mdREADME.mdseed_management.pysnapshot_system.pytest_certificate_hashing.pytest_installation.pyverification_trajectory_77.json
benchmarks
analyze_tetrad_universality.pyb0star_alpha_canonical_product_graphs.pybenchmark_optimization_tracks.pybenchmark_utils.pyboundary_vibration.pybridge_primes_riemann.pychiral_involution.pycli_utils.pycoherence_projector_sense_index.pycommutant_bridge.pycomposition_arithmetic.pyconfinement_zones_test.pyconservation_law_validation.pydirected_paley_bridge.pyemergent_arithmetic_pulse.pyemergent_atom_dynamics.pyemergent_atomic_shells.pyemergent_base_dimension.pyemergent_dimension_dynamics.pyemergent_fractal_pulse.pyemergent_fractal_simplex_dimension.pyemergent_integers_symmetry.pyemergent_musical_nfr.pyemergent_nfr_geometry.pyemergent_nfr_where.pyemergent_rationals.pyemergent_rhythm.pyemergent_screening.pyemergent_shell_cardinals.pyemergent_shell_ordering.pyemergent_simplex_dimension.pyemergent_substrate_symmetry.pyequivariance_wall.pyexternal_phase_gate_validation.pyfield_methods_battery.pygolden_residue_remesh_bridge.pyintegrated_force_regime_study.pyinverse_spectrum_to_symmetry.pyk_phi_safety_demo.pykuramoto_farey_bridge.pymissing_piece_bridge.pymultichannel_interface_benchmark.pynavier_stokes_recipe_bridge.pynodal_propagator_residue_bridge.pyns_moment_hierarchy_cascade.pyoperational_irreducibility.pypaley_bridge.pyphase_curvature_investigation.pyphase_wall.pyphi_s_confinement_investigation.pyprimes_as_consequence.pypulse_phase_coherence_budget.pyREADME.mdremesh_infinity_riemann_baseline.pyremesh_infinity_riemann_composed.pyremesh_infinity_riemann_modified_graph.pyremesh_infinity_riemann_operator.pyremesh_infinity_riemann_spectral_basis.pyremesh_infinity_riemann_spectral_robustness.pyremesh_infinity_riemann_spectral.pyresidue_phase_vs_riemann.pystructural_interface_benchmark.pytemporal_interface_benchmark.pytetrad_results_aggregate.pyu2_destabilization_irreversibility.pyuniversality_clusters.pyxi_c_fast_experiment.py
primality-test
benchmarks
comprehensive_benchmark.py
docs
ADVANCED_INTEGRATION.mdmathematical_foundation.mdperformance_analysis.md
examples
advanced_examples.pybasic_usage.py
tnfr_primality
__init__.py__main__.pyadvanced_cli.pyadvanced_core.pycli.pyconstants.pycore.pyoptimized.py
MANIFEST.inPACKAGE_SUMMARY.mdREADME.mdRELEASE_NOTES_v1.0.mdsetup.pytest_installation.py
tests
core_physics
__init__.pytest_conservation_laws.pytest_delta_nfr_computation_paths.pytest_delta_nfr.pytest_dispersion_coherence_sign_invariance.pytest_emergent_constants_guard.pytest_lyapunov_operators.pytest_nodal_equation.pytest_structural_triad.py
data
replay_manifests
sample_run
_manifest_summary.json_manifest.json_partition_files.txt.gz
self_opt_validation
seed_alpha
paley.json
seed_beta
integration.json
seed_gamma
unknown.json
self_optimization
test_run
partitioned
test_run
test_run_p0.jsontest_run_p1.json
_manifest_summary.json_manifest.json
engines
test_pattern_discovery_manifest.pytest_self_optimization_engine.py
mathematics
__init__.pytest_autodiff.pytest_backends.pytest_dissipative_dynamics.pytest_epi.pytest_factory_patterns.pytest_metrics.pytest_navier_stokes_refounded.pytest_number_theory_canonical.pytest_operators.pytest_residue_networks.pytest_riemann_nodal_pulse.pytest_riemann_pulse_coherence.pytest_spaces.pytest_transforms.pytest_validator.py
operators
test_canonical_operators_modern.pytest_grammar_canon.pytest_grammar_canonical_consistency.pytest_grammar_dynamics.pytest_operator_contracts.pytest_operator_strategies.py
parallel
test_fractal_partition_manifest.py
physics
test_conservation_gauge_unification.pytest_dissipative_conservation.pytest_emergent_chemistry.pytest_field_cache_invalidation.pytest_gauge.pytest_phase_transition.pytest_signatures.pytest_spectral_conservation.pytest_structural_diffusion.pytest_structural_integrity.pytest_symplectic_substrate.pytest_tetrad_bounds.pytest_variational.pytest_yang_mills_closure.pytest_yang_mills_derivability.pytest_yang_mills_scaling.pytest_yang_mills_structural_gap.pytest_yang_mills_u6_sweep.py
scripts
test_run_self_opt_validation.pytest_run_self_optimization.py
sdk
__init__.pytest_simple_advanced.py
__init__.pyconftest.pyREADME.mdtest_breast_cancer_phase_gate_demo.pytest_classical_mechanics.pytest_distributed_fft.pytest_external_phase_gate_validation.pytest_factorization_entrypoint.pytest_multichannel_interface.pytest_nodal_optimizer.pytest_phase_gate_api.pytest_replay_register_manifest.pytest_signal_confrontation.pytest_structural_interface_api.pytest_structural_interface_baselines.pytest_structural_interface_benchmark.pytest_temporal_interface.pytest_vectorized_coherence_length_regression.pytest_wine_quality_phase_gate_demo.pyutils.py
examples
01_foundations
01_hello_world.py02_musical_resonance.py03_network_formation.py04_operator_sequences.py05_coherence_evolution.py06_network_topologies.py07_phase_transitions.py08_emergent_phenomena.py09_visualization_suite.py10_simplified_sdk_showcase.py
02_physics_regimes
11_classical_limit_comparison.py115_operator_contract_audit.py12_classical_mechanics_demo.py13_quantum_mechanics_demo.py14_uncertainty_and_interference.py15_train_crossing_demo.py17_conservation_law_demo.py26_gauge_structure_demo.py27_variational_principle_demo.py28_dissipative_systems_demo.py29_lyapunov_stability_demo.py30_self_optimization_demo.py31_mathematical_constants_basis.py33_complex_field_unification.py34_conservation_protocol_suite.py35_tetrad_irreducibility.py36_grammar_violation_detector.py37_operator_tetrad_synergy.py38_grammar_energy_landscape.py39_nodal_equation_decomposition.py
03_riemann_zeta
157_nodal_pulse_phase_attack.py41_von_mangoldt_zeta_demo.py42_riemann_zeros_as_resonances.py43_prime_ladder_hamiltonian_demo.py44_weil_explicit_formula_demo.py45_li_keiper_demo.py46_weil_tnfr_positivity_demo.py47_alpha_sweep_demo.py48_admissible_family_sweep_demo.py49_nodeaware_gauge_sweep_demo.py50_uniform_coercivity_demo.py51_adaptive_coercivity_demo.py52_paley_gap_coercivity_demo.py53_lyapunov_spectral_positivity_demo.py54_hilbert_polya_demo.py55_structural_zero_density_demo.py56_spectral_emergence_demo.py57_admissible_rescaling_demo.py58_oscillatory_correction_demo.py
04_riemann_L_twisted
59_dirichlet_l_function_demo.py60_dirichlet_l_continuation_demo.py61_dirichlet_l_hamiltonian_demo.py62_dirichlet_weil_explicit_formula_demo.py63_dirichlet_li_keiper_demo.py64_twisted_weil_positivity_demo.py65_twisted_alpha_sweep_demo.py66_twisted_admissible_family_sweep_demo.py67_twisted_nodeaware_gauge_sweep_demo.py68_twisted_hermite_family_demo.py69_twisted_coercivity_uniform_demo.py70_twisted_paley_gap_coercivity_demo.py71_twisted_lyapunov_spectral_demo.py72_twisted_hilbert_polya_demo.py73_twisted_structural_zero_density_demo.py74_twisted_spectral_emergence_demo.py75_twisted_admissible_rescaling_demo.py76_twisted_oscillatory_correction_demo.py
05_type_hygiene
77_remesh_infinity_residue_split_demo.py78_nuf_type_signature_demo.py79_epi_type_signature_demo.py80_phi_type_signature_demo.py81_dnfr_type_signature_demo.py82_remesh_window_type_signature_demo.py83_delta_phi_max_type_signature_demo.py84_coupling_weights_type_signature_demo.py85_tetrad_closure_signature_demo.py86_currents_closure_signature_demo.py87_aggregates_closure_signature_demo.py88_urules_consistency_signature_demo.py89_operator_catalog_discipline_signature_demo.py
06_navier_stokes
158_navier_stokes_two_face_refounded.py
07_number_theory
100_prime_families_orbits.py101_numbers_as_coupled_network.py102_nodal_flow_primes_equilibria.py116_nuf_emergent_prime_visibility.py146_primality_grammatical_inertness.py147_numbers_as_free_monoid_words.py148_capacity_arm_carries_von_mangoldt.py149_p14_is_the_capacity_arm_operator.py153_structural_frequency_rank_cyclotomy.py40_arithmetic_number_theory.py94_generative_number_construction.py95_primes_from_spectral_waves.py96_spectral_vibration_of_coherence.py97_goldbach_additive_multiplicative.pyemergent_chemistry_particles_demo.py
08_emergent_geometry
103_emergent_substrate_meets_riemann.py106_per_node_polarization_geometry.py107_orthogonal_structure_emergent_geometry.py108_emergent_field_generating_structure.py112_structure_predicts_coherence_flow.py113_overdamped_projection_bridge.py114_substrate_conserved_quantities.py117_emergent_geometry_residue_graph.py118_emergent_vs_classical_operator.py119_phase_sector_directed_residue.py120_symmetry_wall_substrate_vs_spectrum.py121_canonical_symmetry_break_negative.py122_factorization_phase_sector.py123_symmetry_sector_decomposition.py124_emergent_metric_fractal_consistency.py125_node_is_the_emergent_substrate.py126_two_layers_base_fiber.py127_base_is_emergent_not_imposed.py128_base_substrate_coemergence.py129_spectral_gap_base_fiber_clock.py130_operators_break_substrate_charges.py131_coemergent_loop_convergence.py132_geometric_phase_holonomy.py133_psi_topological_defects.py134_spectral_dimension_heat_kernel.py135_arrow_of_time_h_theorem.py136_heat_kernel_coefficients.py137_synchronization_transition.py138_structure_frequency_synchronization.py139_grammar_formal_language.py140_grammar_automaton.py141_grammar_rule_decomposition.py142_grammar_operator_quotient.py143_glyphic_function_sublanguage.py144_branching_combinator.py145_syntactic_monoid_starfree.py150_emergent_grammatical_pattern_parry.py151_grammar_in_emergent_geometry.py152_operator_contract_tetrahedron.py154_conductor_annotated_qr_spectrum.py155_ontological_position_of_numbers.py156_emergence_directness_law.py98_emergent_symplectic_substrate.py99_structural_diffusion.pyunified_fields_showcase.py
09_millennium
109_p_vs_np_coherence_synthesis.py110_bsd_rank_structural_pressure.py111_hodge_discrete_and_honest_gap.py
10_applications
159_empirical_confrontation_pipeline.py90_phase_gate_monitor_demo.py91_breast_cancer_phase_gate_demo.py92_wine_quality_phase_gate_demo.py93_structural_interface_demo.pypytorch_cuda_demo.py
README.md
scripts
replay
__init__.pyregister_manifest.py
__init__.pyREADME.mdrebuild_failure_manifest.pyrun_reproducible_benchmarks.pyrun_self_opt_validation.pyrun_self_optimization.pytnfr_is_prime.pyvalidate_conservation_law.pyverify_internal_references.py
src
core
__init__.pyevaluation.py
tnfr
backends
__init__.pyjax_backend.pynumpy_backend.pyoptimized_numpy.pyREADME.mdtorch_backend.py
cli
__init__.py__init__.pyiarguments.pyarguments.pyiexecution.pyexecution.pyiinteractive_validator.pyREADME.mdutils.pyutils.pyi
compat
__init__.pydataclass.pyjsonschema_stub.pymatplotlib_stub.pynumpy_stub.pyREADME.md
config
__init__.py__init__.pyiconstants.pyconstants.pyidefaults_core.pydefaults_init.pydefaults_metric.pydefaults.pyfeature_flags.pyfeature_flags.pyiglyph_constants.pyoperator_names.pyoperator_names.pyiphysics_derivation.pyprecision_modes.pypresets.pypresets.pyiREADME.mdsecurity.pythresholds.pytnfr_config.py
constants
__init__.py__init__.pyialiases.pyaliases.pyicanonical.pymetric.pymetric.pyioperational.py
core
__init__.pycontainer.pydefault_implementations.pyexceptions.pyinterfaces.pyREADME.md
dynamics
__init__.py__init__.pyiadaptation.pyadaptation.pyiadaptive_sequences.pyadaptive_sequences.pyiadelic.pyadvanced_cache_optimizer.pyadvanced_fft_arithmetic.pyaliases.pyaliases.pyibifurcation.pycache_aware_fft_engine.pycanonical.pycanonical.pyicomputational_hub.pycoordination.pycoordination.pyidistributed_fft.pydnfr.pydnfr.pyidynamic_limits.pyemergent_centralization.pyemergent_integration_engine.pyfeedback.pyfeedback.pyifft_backend.pyfft_cache_coordinator.pyfft_dispatchers.pyfft_engine.pyfft_workers.pyfused_dnfr.pyhomeostasis.pyhomeostasis.pyiintegrators.pyintegrators.pyilearning.pylearning.pyimetabolism.pymulti_modal_cache.pynbody_tnfr.pynbody.pynodal_optimizer.pyoptimization_orchestrator.pypropagation.pyREADME.mdruntime.pyruntime.pyisampling.pysampling.pyiselectors.pyselectors.pyiself_optimizing_engine.pyspectral_structural_fusion.pystructural_cache.pystructural_clip.pysymplectic.pyunified_backend.pyunified_mathematical_cache_orchestrator.py
engines
computation
__init__.pyfft_engine.pyunified_fft_engine.pyunified_gpu_system.py
constants
__init__.pycanonical.pyoperational.py
integration
__init__.pyemergent_integration.py
pattern_discovery
__init__.pymathematical_patterns.pymulti_modal_cache.py
self_optimization
__init__.pyengine.py
__init__.pyREADME.md
errors
__init__.pycontextual.py
factorization
__init__.py
flatten
README.md
gamma
README.md
glyph_history
README.md
glyph_runtime
README.md
immutable
README.md
initialization
README.md
io
README.md
math
__init__.pyfields_symbolic.pygrammar_validators.pyoptimizer.pyREADME.mdsymbolic.py
mathematics
__init__.pybackend.pybackend.pyidynamics.pydynamics.pyiepi.pyepi.pyigenerators.pygenerators.pyiliouville.pymetrics.pymetrics.pyinumber_theory.pyoperators_factory.pyoperators_factory.pyioperators.pyoperators.pyioptimized_primality.pyprojection.pyprojection.pyiREADME.mdruntime.pyruntime.pyispaces.pyspaces.pyispectral.pytransforms.pytransforms.pyiunified_cache.pyunified_numerical.pyzeta.py
metrics
__init__.py__init__.pyibuffer_cache.pybuffer_cache.pyicache_utils.pycoherence.pycoherence.pyicommon.pycommon.pyicore.pycore.pyidiagnosis.pydiagnosis.pyiemergence.pyexport.pyexport.pyiglyph_timing.pyglyph_timing.pyilearning_metrics.pylearning_metrics.pyilocal_coherence.pyphase_coherence.pyphase_compatibility.pyREADME.mdreporting.pyreporting.pyisense_index.pysense_index.pyitelemetry.pytetrad.pytrig_cache.pytrig_cache.pyitrig.pytrig.pyi
multiscale
__init__.pyhierarchical.pyREADME.md
navier_stokes
__init__.pyconservative_face.pyoperator.py
node
README.md
observers
README.md
operators
network_analysis
__init__.pysource_detection.py
postconditions
__init__.pymutation.py
preconditions
__init__.pycoherence.pydissonance.pyemission.pymutation.pyreception.pyresonance.py
strategies
__init__.pydefaults.pygpu_strategies.pystrategy.py
__init__.py__init__.pyialgebra.pycanonical_patterns.pycascade.pycoherence.pycontraction.pycoupling.pycycle_detection.pydefinitions_base.pydefinitions.pydefinitions.pyidissonance.pyemission.pyexpansion.pygrammar_application.pygrammar_canon.pygrammar_context.pygrammar_core.pygrammar_dynamics.pygrammar_error_factory.pygrammar_memoization.pygrammar_patterns.pygrammar_telemetry.pygrammar_types.pygrammar_u6.pygrammar_validate.pygrammar.pygrammar.pyihamiltonian.pyhealth_analyzer.pyintrospection.pyjitter.pyjitter.pyilifecycle.pymetabolism.pymetrics_basic.pymetrics_core.pymetrics_network.pymetrics_structural.pymetrics_u6.pymetrics.pymutation.pynodal_equation.pyoperator_contracts.pypattern_detection.pypatterns.pyREADME.mdreception.pyrecursivity.pyregistry.pyregistry.pyiremesh.pyremesh.pyiresonance.pyself_organization.pysilence.pystructural_units.pytransition.py
parallel
__init__.pyauto_scaler.pydistributed.pyengine.pymonitoring.pypartitioner.pyREADME.md
performance
guardrails.py
physics
__init__.py_helpers.pycalibration.pycanonical.pycell.pyclassical_mechanics.pyconservation_gauge_unification.pyconservation.pydissipative_conservation.pyemergent_chemistry.pyemergent_particles.pyextended.pyfields.pygauge.pyintegrity.pyinteractions.pylife.pylyapunov.pypatterns.pyphase_transition.pyquantum_mechanics.pyREADME.mdsignatures.pyspectral_conservation.pyspectral_metrics.pystructural_diffusion.pysymplectic_substrate.pytelemetry.pyunified.pyvariational.pyvectorized_ops.py
primality
__init__.py
recipes
__init__.pycookbook.pyREADME.md
riemann
__init__.pyadmissible_family_sweep.pyadmissible_rescaling.pyaggregates_closure_signature.pyalpha_sweep.pyanalytic_continuation_dirichlet.pyanalytic_continuation.pycoercivity_uniform.pycoupling_weights_type_signature.pycurrents_closure_signature.pydelta_phi_max_type_signature.pydirichlet_l.pydnfr_type_signature.pyepi_type_signature.pyhilbert_polya.pyli_keiper.pylyapunov_spectral_positivity.pynodal_pulse.pynodeaware_gauge_sweep.pynuf_type_signature.pyoperator_catalog_discipline_signature.pyoperator.pyoscillatory_correction.pypaley_gap_coercivity.pyphi_type_signature.pyprime_ladder_hamiltonian.pypulse_coherence.pyremesh_infinity_residue_split.pyremesh_window_type_signature.pyspectral_emergence.pystructural_zero_density.pytelemetry.pytetrad_closure_signature.pytwisted_admissible_family_sweep.pytwisted_admissible_rescaling.pytwisted_alpha_sweep.pytwisted_coercivity_uniform.pytwisted_hermite_family.pytwisted_hilbert_polya.pytwisted_li_keiper.pytwisted_lyapunov_spectral_positivity.pytwisted_nodeaware_gauge_sweep.pytwisted_oscillatory_correction.pytwisted_paley_gap_coercivity.pytwisted_prime_ladder_hamiltonian.pytwisted_spectral_emergence.pytwisted_structural_zero_density.pytwisted_weil_explicit_formula.pytwisted_weil_positivity.pyurules_consistency_signature.pyvon_mangoldt.pyweil_explicit_formula.pyweil_positivity.py
schemas
__init__.pygrammar.jsonREADME.md
sdk
__init__.py__init__.pyiadaptive_system.pyadaptive_system.pyibuilders.pybuilders.pyifluent.pyfluent.pyiREADME.mdself_opt.pysimple.pytemplates.pytemplates.pyiutils.py
security
__init__.pycrypto.pydatabase.pyREADME.mdsubprocess.pyvalidation.py
sequencing
__init__.pypatterns.pyREADME.md
services
__init__.pyorchestrator.pyREADME.md
sparse
__init__.pyREADME.mdrepresentations.py
structural
README.md
telemetry
__init__.pycache_metrics.pycache_metrics.pyiconstants.pynu_f.pynu_f.pyiREADME.mdunified_telemetry_system.pyverbosity.pyverbosity.pyi
tools
__init__.pydomain_templates.pyREADME.mdsequence_generator.pytnfr_is_prime_cli_optimized.pytnfr_is_prime_cli.py
topology
__init__.pyasymmetry.pyREADME.md
utils
cache_layers.pycache.pycache.pyicallbacks.pycallbacks.pyichunks.pychunks.pyidata.pydata.pyifast_diameter.pygraph.pygraph.pyiinit.pyinit.pyiio.pyio.pyinumeric.pynumeric.pyiREADME.mdtopology.pyunified_cache.py
validation
__init__.py__init__.pyiaggregator.pybase.pycompatibility.pycompatibility.pyiconfig.pygraph.pygraph.pyihealth.pyinput_validation.pyinterface_baselines.pyinvariants.pymultichannel_interface.pyphase_gate.pyREADME.mdrules.pyrules.pyiruntime.pyruntime.pyisequence_validator.pysignal_confrontation.pysoft_filters.pysoft_filters.pyispectral.pyspectral.pyistructural_interface.pytemporal_interface.pyunified_validation_system.pyvalidator.pywindow.pywindow.pyi
visualization
__init__.pycascade_viz.pyhierarchy.pyREADME.mdsequence_plotter.py
yang_mills
__init__.pyclosure.pyderivability.pyscaling.pystructural_gap.pyu6_sweep.py
__init__.py__init__.pyi_compat.py_version.py_version.pyialias.pyalias.pyibackend_config.pycache.pycache.pyiexecution.pyexecution.pyiflatten.pyflatten.pyigamma.pygamma.pyiglyph_history.pyglyph_history.pyiglyph_runtime.pyglyph_runtime.pyiimmutable.pyimmutable.pyiinitialization.pyinitialization.pyiio.pyio.pyilocking.pylocking.pyinode.pynode.pyiobservers.pyobservers.pyiontosim.pyontosim.pyipy.typedrng.pyrng.pyisecure_config.pyselector.pyselector.pyisense.pysense.pyistructural.pystructural.pyitokens.pytokens.pyitrace.pytrace.pyitypes.pytypes.pyiunits.pyunits.pyi
tetrad_evaluator.py
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FILE: src/tnfr/engines/computation/unified_gpu_system.py

unified_gpu_system.py

TNFR Unified GPU System - Consolidated Engine and Memory Management.

CONSOLIDATION ACHIEVEMENT: This module unifies all TNFR GPU implementations including duplicate engines, memory managers, and device management under a single coherent interface following nodal equation dynamics principles.

Unified Architecture:

  • Merges engines/computation/gpu_engine.py + parallel/gpu_engine.py
  • Consolidates gpu_memory_manager.py + unified_gpu_manager.py functionality
  • Single entry point for all GPU operations across TNFR
  • Intelligent backend selection (JAX, PyTorch, CuPy, NumPy)
  • Unified memory management with automatic fallback
  • Consistent error handling and resource cleanup

Theoretical Foundation: GPU acceleration of nodal equation ∂EPI/∂t = νf · ΔNFR(t) via vectorized computation of structural field tetrad (Φ_s, |∇φ|, K_φ, ξ_C) and ΔNFR operations with optimal memory utilization.

Consolidated Features:

  1. ΔNFR Computation: Fast vectorized structural pressure calculation
  2. Tetrad Fields: GPU-accelerated structural field computation
  3. Memory Management: Automatic device placement and cleanup
  4. Fallback Handling: Graceful CPU fallback for memory constraints
  5. Resource Monitoring: Real-time memory and utilization tracking
  6. Device Selection: Intelligent GPU selection and load balancing

Performance Benefits:

  • Eliminates duplicate GPU engine instantiation
  • Unified memory pool management across operations
  • Automatic optimization based on operation characteristics
  • Consistent error handling and recovery patterns

Status: UNIFIED GPU CONSOLIDATION - All GPU operations centralized

Source Code

python
"""TNFR Unified GPU System - Consolidated Engine and Memory Management.

CONSOLIDATION ACHIEVEMENT: This module unifies all TNFR GPU implementations
including duplicate engines, memory managers, and device management under
a single coherent interface following nodal equation dynamics principles.

Unified Architecture:
- Merges engines/computation/gpu_engine.py + parallel/gpu_engine.py
- Consolidates gpu_memory_manager.py + unified_gpu_manager.py functionality
- Single entry point for all GPU operations across TNFR
- Intelligent backend selection (JAX, PyTorch, CuPy, NumPy)
- Unified memory management with automatic fallback
- Consistent error handling and resource cleanup

Theoretical Foundation:
GPU acceleration of nodal equation ∂EPI/∂t = νf · ΔNFR(t) via vectorized
computation of structural field tetrad (Φ_s, |∇φ|, K_φ, ξ_C) and ΔNFR
operations with optimal memory utilization.

Consolidated Features:
1. ΔNFR Computation: Fast vectorized structural pressure calculation
2. Tetrad Fields: GPU-accelerated structural field computation
3. Memory Management: Automatic device placement and cleanup
4. Fallback Handling: Graceful CPU fallback for memory constraints
5. Resource Monitoring: Real-time memory and utilization tracking
6. Device Selection: Intelligent GPU selection and load balancing

Performance Benefits:
- Eliminates duplicate GPU engine instantiation
- Unified memory pool management across operations
- Automatic optimization based on operation characteristics
- Consistent error handling and recovery patterns

Status: UNIFIED GPU CONSOLIDATION - All GPU operations centralized
"""

from __future__ import annotations

import gc
import logging
from dataclasses import dataclass, field
from typing import Any, Callable

import psutil

from ...alias import get_attr
from ...config import get_config
from ...constants.aliases import ALIAS_EPI, ALIAS_THETA, ALIAS_VF

# Unified mathematics backend integration
from ...mathematics.backend import get_backend
from ...mathematics.unified_numerical import np

logger = logging.getLogger(__name__)


@dataclass
class GPUDeviceInfo:
    """Unified GPU device information."""

    device_id: int
    name: str
    backend: str  # "jax", "torch", "cupy"
    total_memory_mb: float
    free_memory_mb: float
    utilization_percent: float
    compute_capability: str | None = None
    is_available: bool = True


@dataclass
class GPUOperationResult:
    """Unified result container for GPU operations."""

    # Core results
    result_data: np.ndarray
    backend_used: str

    # Performance metrics
    computation_time_ms: float
    memory_usage_mb: float

    # Optional
    device_used: str | None = None
    gpu_utilization: float = 0.0

    # Execution details
    fallback_used: bool = False
    memory_transferred_mb: float = 0.0

    # Quality indicators
    precision: str = "float32"
    convergence_achieved: bool = True

    # Telemetry
    operation_metadata: dict[str, Any] = field(default_factory=dict)


@dataclass
class UnifiedGPUConfig:
    """Configuration for unified GPU system."""

    # Backend preferences
    preferred_backend: str = "torch"  # "jax", "torch", "cupy", "auto"
    enable_gpu_acceleration: bool = True
    auto_backend_selection: bool = True

    # Memory management
    max_memory_usage_percent: float = 80.0
    memory_cleanup_threshold: float = 90.0
    enable_memory_pooling: bool = True

    # Device selection
    device_selection_strategy: str = (
        "memory_optimal"  # "memory_optimal", "compute_optimal", "round_robin"
    )
    multi_gpu_enabled: bool = True

    # Fallback settings
    enable_cpu_fallback: bool = True
    fallback_threshold_nodes: int = 50000

    # Performance tuning
    batch_size_optimization: bool = True
    precision_scaling: str = "auto"  # "auto", "float32", "float64"

    # Monitoring
    enable_profiling: bool = False
    log_memory_usage: bool = True


class TNFRUnifiedGPUSystem:
    """Unified GPU System - Consolidated Engine and Memory Management.

    ARCHITECTURE: This system consolidates all TNFR GPU implementations under
    a unified interface with intelligent backend routing, memory management,
    and performance optimization.

    Consolidates:
    - engines/computation/gpu_engine.py (TNFRGPUEngine)
    - parallel/gpu_engine.py (TNFRGPUEngine)
    - engines/computation/gpu_memory_manager.py (TNFRGPUMemoryManager)
    - engines/computation/unified_gpu_manager.py (TNFRUnifiedGPUManager)

    Usage:
        # Single entry point for all GPU operations
        gpu_system = TNFRUnifiedGPUSystem()

        # ΔNFR computation with automatic optimization
        result = gpu_system.compute_delta_nfr_gpu(adjacency, epi, vf, phase)

        # Structural field computation with memory management
        result = gpu_system.compute_structural_fields(graph_data)

        # Automatic fallback for memory-constrained operations
        result = gpu_system.execute_with_fallback(operation, data)

    Benefits:
        - Eliminates GPU backend redundancy across codebase
        - Unified memory management and device selection
        - Consistent error handling and fallback patterns
        - Automatic performance optimization
        - Integrated with unified config and mathematics backend
    """

    def __init__(self, config: UnifiedGPUConfig | None = None):
        """Initialize unified GPU system with configuration."""
        self.config = config or UnifiedGPUConfig()

        # Get global configuration integration
        self.global_config = get_config()

        # Initialize backend system
        self.math_backend = get_backend()

        # Device management
        self._available_devices: list[GPUDeviceInfo] = []
        self._current_device: GPUDeviceInfo | None = None
        self._device_load_balance: dict[int, float] = {}

        # Memory management
        self._memory_pools: dict[str, Any] = {}
        self._active_allocations: dict[str, float] = {}

        # Performance tracking
        self._operation_stats = {
            "total_operations": 0,
            "gpu_operations": 0,
            "cpu_fallbacks": 0,
            "memory_errors": 0,
            "average_gpu_time_ms": 0.0,
        }

        # Initialize GPU backends and devices
        self._initialize_gpu_backends()
        self._detect_available_devices()

        if self.config.log_memory_usage:
            logger.info(
                f"Initialized unified GPU system with {len(self._available_devices)} devices"
            )

    @property
    def is_available(self) -> bool:
        """Check if GPU acceleration is available."""
        return len(self._available_devices) > 0 and self.config.enable_gpu_acceleration

    def _initialize_gpu_backends(self) -> None:
        """Initialize available GPU backends through mathematics backend."""
        try:
            # Check what backends are available through unified system
            backend_info = self.math_backend.get_backend_info()

            # Check for 'accelerated' (standard) or 'supports_gpu' (legacy)
            is_accelerated = backend_info.get("accelerated", False) or backend_info.get(
                "supports_gpu", False
            )

            if is_accelerated:
                logger.info(f"GPU backend available: {backend_info['name']}")
            else:
                logger.warning("No GPU backend available through mathematics backend")

        except Exception as e:
            logger.error(f"Failed to initialize GPU backends: {e}")

    def _detect_available_devices(self) -> None:
        """Detect available GPU devices across all backends."""
        devices = []

        # Try to get devices through mathematics backend
        try:
            backend_info = self.math_backend.get_backend_info()

            # Check for 'accelerated' (standard) or 'supports_gpu' (legacy)
            is_accelerated = backend_info.get("accelerated", False) or backend_info.get(
                "supports_gpu", False
            )

            if is_accelerated:
                # Create device info based on backend
                device = GPUDeviceInfo(
                    device_id=0,
                    name=backend_info.get("device_name", "GPU Device"),
                    backend=backend_info["name"],
                    total_memory_mb=backend_info.get("total_memory_mb", 0),
                    free_memory_mb=backend_info.get("free_memory_mb", 0),
                    utilization_percent=0.0,
                    is_available=True,
                )
                devices.append(device)

        except Exception as e:
            logger.warning(f"Could not detect GPU devices: {e}")

        self._available_devices = devices

        # Select initial device
        if devices:
            self._current_device = self._select_optimal_device()

    def _select_optimal_device(self) -> GPUDeviceInfo | None:
        """Select optimal GPU device based on strategy."""
        if not self._available_devices:
            return None

        strategy = self.config.device_selection_strategy

        if strategy == "memory_optimal":
            # Select device with most free memory
            return max(self._available_devices, key=lambda d: d.free_memory_mb)

        elif strategy == "compute_optimal":
            # Select device with lowest utilization
            return min(self._available_devices, key=lambda d: d.utilization_percent)

        elif strategy == "round_robin":
            # Round-robin selection with load balancing
            device_loads = [
                (d.device_id, self._device_load_balance.get(d.device_id, 0.0))
                for d in self._available_devices
            ]
            device_id = min(device_loads, key=lambda x: x[1])[0]
            return next(d for d in self._available_devices if d.device_id == device_id)

        else:
            # Default: first available device
            return self._available_devices[0]

    def compute_delta_nfr_gpu(
        self,
        adjacency: np.ndarray,
        epi: np.ndarray,
        vf: np.ndarray,
        phase: np.ndarray,
        **kwargs: Any,
    ) -> GPUOperationResult:
        """Compute ΔNFR using GPU acceleration with automatic optimization.

        CONSOLIDATION: This unifies the compute_delta_nfr_gpu methods from both
        duplicate GPU engines with enhanced memory management and fallback.

        Parameters
        ----------
        adjacency : np.ndarray
            Graph adjacency matrix
        epi : np.ndarray
            EPI structural configuration values
        vf : np.ndarray
            Structural frequency values (νf)
        phase : np.ndarray
            Phase values (φ/θ)
        **kwargs
            Additional computation parameters

        Returns
        -------
        GPUOperationResult
            Unified result with ΔNFR values and performance metrics
        """
        import time

        start_time = time.perf_counter()
        self._operation_stats["total_operations"] += 1

        # Check if GPU operation is feasible
        if not self._can_handle_gpu_operation(adjacency, epi, vf, phase):
            return self._fallback_to_cpu(
                self._compute_delta_nfr_cpu, adjacency, epi, vf, phase, **kwargs
            )

        try:
            # Use mathematics backend for GPU computation
            result_data = self.math_backend.compute_delta_nfr(
                adjacency, epi, vf, phase, **kwargs
            )

            computation_time = (time.perf_counter() - start_time) * 1000

            # Update statistics
            self._operation_stats["gpu_operations"] += 1
            self._operation_stats["average_gpu_time_ms"] = (
                self._operation_stats["average_gpu_time_ms"]
                * (self._operation_stats["gpu_operations"] - 1)
                + computation_time
            ) / self._operation_stats["gpu_operations"]

            # Create result
            return GPUOperationResult(
                result_data=result_data,
                backend_used=self.math_backend.get_backend_info()["name"],
                device_used=self._current_device.name if self._current_device else None,
                computation_time_ms=computation_time,
                memory_usage_mb=self._estimate_memory_usage(adjacency, epi, vf, phase),
                gpu_utilization=self._get_current_gpu_utilization(),
                operation_metadata={"operation": "delta_nfr", "nodes": len(epi)},
            )

        except Exception as e:
            logger.warning(f"GPU ΔNFR computation failed: {e}")
            self._operation_stats["memory_errors"] += 1
            return self._fallback_to_cpu(
                self._compute_delta_nfr_cpu, adjacency, epi, vf, phase, **kwargs
            )

    def compute_structural_fields(
        self, graph_data: np.ndarray, **kwargs: Any
    ) -> GPUOperationResult:
        """Compute structural field tetrad using GPU acceleration.

        Computes the structural-field tetrad (Φ_s, |∇φ|, K_φ, ξ_C)
        with automatic memory management and fallback.
        """
        import time

        start_time = time.perf_counter()

        # Check GPU feasibility
        if not self._can_handle_gpu_operation(graph_data):
            return self._fallback_to_cpu(
                self._compute_structural_fields_cpu, graph_data, **kwargs
            )

        try:
            # Use mathematics backend for computation
            result_data = self.math_backend.compute_structural_fields(
                graph_data, **kwargs
            )

            computation_time = (time.perf_counter() - start_time) * 1000

            return GPUOperationResult(
                result_data=result_data,
                backend_used=self.math_backend.get_backend_info()["name"],
                device_used=self._current_device.name if self._current_device else None,
                computation_time_ms=computation_time,
                memory_usage_mb=self._estimate_memory_usage(graph_data),
                operation_metadata={
                    "operation": "structural_fields",
                    "data_shape": graph_data.shape,
                },
            )

        except Exception as e:
            logger.warning(f"GPU structural fields computation failed: {e}")
            return self._fallback_to_cpu(
                self._compute_structural_fields_cpu, graph_data, **kwargs
            )

    def compute_delta_nfr_from_graph(self, graph: Any) -> dict[Any, float]:
        """Compute ΔNFR directly from a TNFR graph using GPU acceleration.

        Convenience method that extracts matrices from graph and computes
        ΔNFR using GPU backend.

        Parameters
        ----------
        graph : TNFRGraph
            Network graph with TNFR attributes

        Returns
        -------
        dict[Any, float]
            Mapping from node IDs to ΔNFR values
        """
        # Extract node list (maintain order)
        nodes = list(graph.nodes())
        node_to_idx = {node: idx for idx, node in enumerate(nodes)}
        n = len(nodes)

        # Build matrices
        adj_matrix = np.zeros((n, n))
        epi_vec = np.zeros(n)
        vf_vec = np.zeros(n)
        phase_vec = np.zeros(n)

        for i, node in enumerate(nodes):
            epi_vec[i] = get_attr(graph.nodes[node], ALIAS_EPI, 0.0)
            vf_vec[i] = get_attr(graph.nodes[node], ALIAS_VF, 0.0)
            phase_vec[i] = get_attr(graph.nodes[node], ALIAS_THETA, 0.0)

        for i, j in graph.edges():
            idx_i = node_to_idx[i]
            idx_j = node_to_idx[j]
            adj_matrix[idx_i, idx_j] = 1.0
            adj_matrix[idx_j, idx_i] = 1.0  # Undirected

        # Compute using unified system
        result = self.compute_delta_nfr_gpu(adj_matrix, epi_vec, vf_vec, phase_vec)

        # Map back to node IDs
        return {node: float(val) for node, val in zip(nodes, result.result_data)}

    def execute_with_fallback(
        self, operation: Callable, *args: Any, **kwargs: Any
    ) -> GPUOperationResult:
        """Execute operation with automatic GPU/CPU fallback.

        CONSOLIDATION: This unifies the execute_with_gpu_fallback functionality
        from the unified_gpu_manager with enhanced error handling.
        """
        try:
            # Attempt GPU execution
            return operation(*args, **kwargs)

        except Exception as e:
            logger.warning(f"GPU operation failed, falling back to CPU: {e}")
            self._operation_stats["cpu_fallbacks"] += 1

            # Execute CPU fallback
            return self._execute_cpu_fallback(operation, *args, **kwargs)

    def execute_with_gpu_fallback(
        self,
        gpu_fn: Callable[..., Any],
        cpu_fn: Callable[..., Any],
        *args: Any,
        **kwargs: Any,
    ) -> tuple[Any, str]:
        """Execute with GPU fallback (compatibility method)."""
        try:
            # Try GPU function
            return gpu_fn(*args, **kwargs), "gpu"
        except Exception as e:
            logger.warning(f"GPU execution failed, falling back to CPU: {e}")
            self._operation_stats["cpu_fallbacks"] += 1
            # Fallback to CPU function
            return cpu_fn(*args, **kwargs), "cpu"

    def has_gpu_backend(self) -> bool:
        """Check if GPU backend is available (compatibility alias)."""
        return self.is_available

    def _can_handle_gpu_operation(self, *arrays: np.ndarray) -> bool:
        """Check if GPU can handle the operation based on memory constraints."""
        if not self._available_devices or not self.config.enable_gpu_acceleration:
            return False

        # Estimate memory requirement
        total_memory_needed = sum(array.nbytes for array in arrays) / (
            1024 * 1024
        )  # MB

        # Check against current device memory
        if self._current_device:
            available_memory = self._current_device.free_memory_mb
            memory_threshold = available_memory * (
                self.config.max_memory_usage_percent / 100.0
            )

            return total_memory_needed <= memory_threshold

        return False

    def _fallback_to_cpu(
        self, cpu_operation: Callable, *args: Any, **kwargs: Any
    ) -> GPUOperationResult:
        """Execute CPU fallback with unified result format."""
        import time

        start_time = time.perf_counter()
        self._operation_stats["cpu_fallbacks"] += 1

        try:
            result_data = cpu_operation(*args, **kwargs)
            computation_time = (time.perf_counter() - start_time) * 1000

            return GPUOperationResult(
                result_data=result_data,
                backend_used="numpy",
                computation_time_ms=computation_time,
                memory_usage_mb=self._estimate_memory_usage(*args),
                fallback_used=True,
                operation_metadata={"fallback_reason": "memory_constraint"},
            )

        except Exception as e:
            logger.error(f"CPU fallback also failed: {e}")
            raise

    def _compute_delta_nfr_cpu(
        self,
        adjacency: np.ndarray,
        epi: np.ndarray,
        vf: np.ndarray,
        phase: np.ndarray,
        **kwargs: Any,
    ) -> np.ndarray:
        """CPU fallback for ΔNFR computation."""
        # Use NumPy for CPU computation
        n_nodes = len(epi)
        delta_nfr = np.zeros(n_nodes)

        for i in range(n_nodes):
            neighbors = np.where(adjacency[i] > 0)[0]
            if len(neighbors) == 0:
                continue

            # Compute structural pressure from neighbors
            phase_diff = phase[neighbors] - phase[i]
            epi_diff = epi[neighbors] - epi[i]
            vf_influence = vf[neighbors] * adjacency[i, neighbors]

            # ΔNFR = weighted sum of neighbor influences
            delta_nfr[i] = np.sum(vf_influence * (epi_diff + 0.1 * np.sin(phase_diff)))

        return delta_nfr

    def _compute_structural_fields_cpu(
        self, graph_data: np.ndarray, **kwargs: Any
    ) -> np.ndarray:
        """CPU fallback for structural fields computation."""
        # Basic CPU implementation of tetrad fields
        # This would integrate with unified_fields.py for full implementation
        return np.zeros(
            (4, graph_data.shape[0])
        )  # Placeholder for (Φ_s, |∇φ|, K_φ, ξ_C)

    def _execute_cpu_fallback(
        self, operation: Callable, *args: Any, **kwargs: Any
    ) -> GPUOperationResult:
        """Execute generic CPU fallback operation."""
        import time

        start_time = time.perf_counter()

        result_data = operation(*args, **kwargs)
        computation_time = (time.perf_counter() - start_time) * 1000

        return GPUOperationResult(
            result_data=result_data,
            backend_used="cpu_fallback",
            computation_time_ms=computation_time,
            memory_usage_mb=0.0,
            fallback_used=True,
            operation_metadata={"execution": "cpu_fallback"},
        )

    def _estimate_memory_usage(self, *arrays: np.ndarray) -> float:
        """Estimate memory usage in MB for arrays."""
        return sum(array.nbytes for array in arrays) / (1024 * 1024)

    def _get_current_gpu_utilization(self) -> float:
        """Get current GPU utilization percentage."""
        if self._current_device:
            return self._current_device.utilization_percent
        return 0.0

    def cleanup_memory(self) -> None:
        """Clean up GPU memory and resources."""
        try:
            # Trigger garbage collection
            gc.collect()

            # Clear memory pools if available
            if hasattr(self.math_backend, "clear_memory"):
                self.math_backend.clear_memory()

            # Reset allocation tracking
            self._active_allocations.clear()

            logger.info("GPU memory cleanup completed")

        except Exception as e:
            logger.warning(f"GPU memory cleanup failed: {e}")

    def get_device_info(self) -> list[GPUDeviceInfo]:
        """Get information about available GPU devices."""
        # Refresh device information
        self._detect_available_devices()
        return self._available_devices.copy()

    def get_memory_info(self) -> dict[str, Any]:
        """Get detailed memory usage information."""
        info = {
            "total_devices": len(self._available_devices),
            "current_device": (
                self._current_device.name if self._current_device else None
            ),
            "active_allocations": self._active_allocations.copy(),
            "system_memory_mb": psutil.virtual_memory().total / (1024 * 1024),
        }

        if self._current_device:
            info.update(
                {
                    "gpu_total_memory_mb": self._current_device.total_memory_mb,
                    "gpu_free_memory_mb": self._current_device.free_memory_mb,
                    "gpu_utilization_percent": self._current_device.utilization_percent,
                }
            )

        return info

    def get_performance_stats(self) -> dict[str, Any]:
        """Get GPU system performance statistics."""
        stats = self._operation_stats.copy()

        if stats["total_operations"] > 0:
            stats["gpu_success_rate"] = (
                stats["gpu_operations"] / stats["total_operations"]
            ) * 100.0
            stats["cpu_fallback_rate"] = (
                stats["cpu_fallbacks"] / stats["total_operations"]
            ) * 100.0
        else:
            stats["gpu_success_rate"] = 0.0
            stats["cpu_fallback_rate"] = 0.0

        return stats

    def is_gpu_available(self) -> bool:
        """Check if GPU acceleration is available."""
        return (
            len(self._available_devices) > 0
            and self.config.enable_gpu_acceleration
            and self._current_device is not None
        )

    def set_device(self, device_id: int) -> bool:
        """set active GPU device by ID."""
        device = next(
            (d for d in self._available_devices if d.device_id == device_id), None
        )

        if device:
            self._current_device = device
            logger.info(f"Switched to GPU device {device_id}: {device.name}")
            return True

        logger.warning(f"Device {device_id} not available")
        return False


# ============================================================================
# PUBLIC API - Unified GPU Interface
# ============================================================================

# Global unified GPU system instance
_unified_gpu_system: TNFRUnifiedGPUSystem | None = None


def get_unified_gpu_system(
    config: UnifiedGPUConfig | None = None,
) -> TNFRUnifiedGPUSystem:
    """Get or create global unified GPU system.

    This provides a singleton interface for all TNFR GPU operations
    to eliminate redundant system creation across modules.

    Parameters
    ----------
    config : UnifiedGPUConfig, optional
        Configuration for system (only used on first call)

    Returns
    -------
    TNFRUnifiedGPUSystem
        Global unified GPU system instance
    """
    global _unified_gpu_system

    if _unified_gpu_system is None:
        _unified_gpu_system = TNFRUnifiedGPUSystem(config)
        logger.info("Created global unified GPU system")

    return _unified_gpu_system


# Convenience functions for direct GPU operations
def compute_unified_delta_nfr(
    adjacency: np.ndarray,
    epi: np.ndarray,
    vf: np.ndarray,
    phase: np.ndarray,
    **kwargs: Any,
) -> GPUOperationResult:
    """Compute ΔNFR using unified GPU system - convenience function."""
    return get_unified_gpu_system().compute_delta_nfr_gpu(
        adjacency, epi, vf, phase, **kwargs
    )


def compute_unified_structural_fields(
    graph_data: np.ndarray, **kwargs: Any
) -> GPUOperationResult:
    """Compute structural fields using unified GPU system - convenience function."""
    return get_unified_gpu_system().compute_structural_fields(graph_data, **kwargs)


def cleanup_unified_gpu_memory() -> None:
    """Clean up unified GPU memory - convenience function."""
    if _unified_gpu_system is not None:
        _unified_gpu_system.cleanup_memory()


def get_unified_gpu_stats() -> dict[str, Any]:
    """Get unified GPU system statistics - convenience function."""
    if _unified_gpu_system is not None:
        return {
            "performance": _unified_gpu_system.get_performance_stats(),
            "memory": _unified_gpu_system.get_memory_info(),
            "devices": [
                device.__dict__ for device in _unified_gpu_system.get_device_info()
            ],
        }
    return {"status": "system_not_initialized"}


def execute_with_gpu_fallback(
    gpu_fn: Callable[..., Any], cpu_fn: Callable[..., Any], *args: Any, **kwargs: Any
) -> tuple[Any, str]:
    """Execute with GPU fallback (compatibility wrapper).

    Parameters
    ----------
    gpu_fn : Callable
        GPU operation to attempt
    cpu_fn : Callable
        CPU fallback operation
    *args, **kwargs
        Operation arguments

    Returns
    -------
    tuple[Any, str]
        (result, backend_used)
    """
    try:
        # Try GPU function
        return gpu_fn(*args, **kwargs), "gpu"
    except Exception as e:
        logger.warning(f"GPU execution failed, falling back to CPU: {e}")
        # Fallback to CPU function
        return cpu_fn(*args, **kwargs), "cpu"