Apply JuliaFormatter to fix code formatting

[ChrisRackauckas]

Summary

• Applied JuliaFormatter to ensure consistent code formatting
• Formatted 75 files to comply with SciML style guide

Changes

 docs/make.jl                                       |   2 +-
 docs/src/api/scipy.md                              |   2 +-
 docs/src/tutorials/large_systems.md                |   6 +-
 docs/src/tutorials/nonlinear_solve_gpus.md         |  15 +-
 docs/src/tutorials/optimizing_parameterized_ode.md |   3 +-
 docs/src/tutorials/snes_ex2.md                     |   3 +-
 ext/NonlinearSolveFastLevenbergMarquardtExt.jl     |   9 +-
 ext/NonlinearSolveFixedPointAccelerationExt.jl     |   3 +-
 ext/NonlinearSolveMINPACKExt.jl                    |   3 +-
 ext/NonlinearSolveNLSolversExt.jl                  |   3 +-
 ext/NonlinearSolvePETScExt.jl                      |  20 ++-
 ext/NonlinearSolveSIAMFANLEquationsExt.jl          |   6 +-
 ext/NonlinearSolveSpeedMappingExt.jl               |   3 +-
 .../ext/BracketingNonlinearSolveForwardDiffExt.jl  |   4 +-
 .../src/BracketingNonlinearSolve.jl                |  10 +-
 lib/BracketingNonlinearSolve/src/bisection.jl      |   3 +-
 lib/BracketingNonlinearSolve/src/brent.jl          |   3 +-
 lib/BracketingNonlinearSolve/src/falsi.jl          |   3 +-
 lib/BracketingNonlinearSolve/src/ridder.jl         |   3 +-
 .../test/rootfind_tests.jl                         |   8 +-
 .../ext/NonlinearSolveBaseForwardDiffExt.jl        |   3 +-
 lib/NonlinearSolveBase/src/NonlinearSolveBase.jl   |   4 +-
 lib/NonlinearSolveBase/src/autodiff.jl             |  18 +-
 lib/NonlinearSolveBase/src/initialization.jl       |   3 +-
 lib/NonlinearSolveBase/src/polyalg.jl              |   4 +-
 lib/NonlinearSolveBase/src/public.jl               |   1 +
 lib/NonlinearSolveBase/src/solve.jl                |   3 +-
 .../src/termination_conditions.jl                  |   3 +-
 .../src/NonlinearSolveFirstOrder.jl                |   5 +-
 lib/NonlinearSolveFirstOrder/src/forward_diff.jl   |   3 +-
 lib/NonlinearSolveFirstOrder/src/solve.jl          |   6 +-
 .../test/least_squares_tests.jl                    |   6 +-
 .../test/rootfind_tests.jl                         | 190 +++++++++++----------
 .../test/sparsity_tests.jl                         |   3 +-
 .../src/jacobian_handling.jl                       |  12 +-
 .../test/allroots.jl                               |   2 +-
 .../test/single_root.jl                            |   2 +-
 .../ext/NonlinearSolveQuasiNewtonForwardDiffExt.jl |   3 +-
 .../src/NonlinearSolveQuasiNewton.jl               |   1 +
 lib/NonlinearSolveQuasiNewton/src/solve.jl         |  11 +-
 lib/NonlinearSolveQuasiNewton/test/core_tests.jl   |  38 +++--
 lib/NonlinearSolveSciPy/src/NonlinearSolveSciPy.jl | 118 ++++++++-----
 lib/NonlinearSolveSciPy/test/basic_tests.jl        |   2 +-
 lib/NonlinearSolveSciPy/test/runtests.jl           |   4 +-
 lib/NonlinearSolveSciPy/test/wrappers_tests.jl     |  15 +-
 .../NonlinearSolveSpectralMethodsForwardDiffExt.jl |   3 +-
 .../src/NonlinearSolveSpectralMethods.jl           |   1 +
 lib/NonlinearSolveSpectralMethods/src/dfsane.jl    |   3 +-
 lib/NonlinearSolveSpectralMethods/src/solve.jl     |   3 +-
 .../test/core_tests.jl                             |  44 ++---
 lib/SCCNonlinearSolve/src/SCCNonlinearSolve.jl     |   3 +-
 .../src/SciMLJacobianOperators.jl                  |  38 +++--
 lib/SciMLJacobianOperators/test/core_tests.jl      |  24 ++-
 .../ext/SimpleNonlinearSolveChainRulesCoreExt.jl   |   3 +-
 .../ext/SimpleNonlinearSolveReverseDiffExt.jl      |   3 +-
 .../ext/SimpleNonlinearSolveTrackerExt.jl          |   3 +-
 .../src/SimpleNonlinearSolve.jl                    |   1 +
 lib/SimpleNonlinearSolve/src/broyden.jl            |   3 +-
 lib/SimpleNonlinearSolve/src/dfsane.jl             |   3 +-
 lib/SimpleNonlinearSolve/src/halley.jl             |   3 +-
 lib/SimpleNonlinearSolve/src/klement.jl            |   3 +-
 lib/SimpleNonlinearSolve/src/lbroyden.jl           |   6 +-
 lib/SimpleNonlinearSolve/src/raphson.jl            |   3 +-
 lib/SimpleNonlinearSolve/src/trust_region.jl       |   6 +-
 lib/SimpleNonlinearSolve/src/utils.jl              |   9 +-
 .../test/core/forward_diff_tests.jl                |   1 +
 .../test/core/rootfind_tests.jl                    |  21 ++-
 src/NonlinearSolve.jl                              |   3 +-
 src/forward_diff.jl                                |   3 +-
 test/23_test_problems_tests.jl                     | 107 ++++++------
 test/core_tests.jl                                 |   6 +-
 test/cuda_tests.jl                                 |   3 +-
 test/forward_ad_tests.jl                           |   1 -
 test/wrappers/least_squares_tests.jl               |  41 ++---
 test/wrappers/rootfind_tests.jl                    | 100 +++++------
 75 files changed, 593 insertions(+), 430 deletions(-)

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