Apply JuliaFormatter to fix code formatting

[ChrisRackauckas]

Summary

• Applied JuliaFormatter to ensure consistent code formatting
• Formatted 56 files to comply with SciML style guide
• Test status: ⚠️ Some tests failed

Changes

 docs/src/API/variables.md                          |  2 +-
 docs/src/basics/Events.md                          |  3 +-
 docs/src/basics/MTKLanguage.md                     |  2 +-
 docs/src/basics/Validation.md                      |  2 +-
 docs/src/examples/perturbation.md                  |  2 +-
 docs/src/examples/sparse_jacobians.md              | 18 ++--
 docs/src/examples/tearing_parallelism.md           |  4 +-
 ext/MTKCasADiDynamicOptExt.jl                      |  8 +-
 ext/MTKInfiniteOptExt.jl                           | 10 +--
 ext/MTKPyomoDynamicOptExt.jl                       | 10 +--
 src/bipartite_graph.jl                             |  1 -
 src/deprecations.jl                                |  2 -
 src/inputoutput.jl                                 |  4 +-
 src/structural_transformation/bareiss.jl           |  2 -
 src/structural_transformation/codegen.jl           |  1 -
 src/structural_transformation/symbolics_tearing.jl |  4 +-
 src/structural_transformation/tearing.jl           |  1 -
 src/structural_transformation/utils.jl             |  7 +-
 src/systems/abstractsystem.jl                      |  9 +-
 src/systems/alias_elimination.jl                   |  2 -
 src/systems/callbacks.jl                           |  2 +-
 src/systems/diffeqs/basic_transformations.jl       |  2 +-
 src/systems/if_lifting.jl                          | 74 ++++++++--------
 src/systems/model_parsing.jl                       | 98 +++++++++++-----------
 src/systems/parameter_buffer.jl                    |  6 +-
 src/systems/problem_utils.jl                       |  6 +-
 src/systems/solver_nlprob.jl                       |  2 +-
 src/systems/systems.jl                             |  1 -
 src/systems/systemstructure.jl                     |  7 +-
 test/basic_transformations.jl                      | 15 ++--
 test/changeofvariables.jl                          | 36 ++++----
 test/dde.jl                                        |  7 +-
 test/dep_graphs.jl                                 | 30 +++----
 test/dq_units.jl                                   | 12 +--
 test/extensions/homotopy_continuation.jl           |  2 +-
 test/extensions/test_infiniteopt.jl                | 14 ++--
 test/fmi/fmi.jl                                    |  2 +-
 test/initial_values.jl                             | 14 ++--
 test/initializationsystem.jl                       | 22 ++---
 test/input_output_handling.jl                      | 10 +--
 test/inputoutput.jl                                |  4 +-
 test/jacobiansparsity.jl                           | 18 ++--
 test/linearize.jl                                  |  4 +-
 test/modelingtoolkitize.jl                         | 20 ++---
 test/mtkparameters.jl                              | 10 +--
 test/nonlinearsystem.jl                            |  2 +-
 test/odesystem.jl                                  |  4 +-
 test/reduction.jl                                  |  2 +-
 test/scc_nonlinear_problem.jl                      |  8 +-
 test/sciml_problem_inputs.jl                       |  5 --
 test/stream_connectors.jl                          |  4 +-
 test/structural_transformation/index_reduction.jl  |  2 +-
 test/symbolic_events.jl                            |  8 +-
 test/test_variable_metadata.jl                     |  2 +-
 test/units.jl                                      | 14 ++--
 test/variable_parsing.jl                           |  2 +-
 56 files changed, 271 insertions(+), 294 deletions(-)

This PR was automatically generated by OrgMaintenanceScripts.jl