Rename _default_method and absorb _gausslegendre

[mikeingold]

Changes

• Renames _default_method to _default_diff_method (Changes to _default_method #146)
• Absorbed _gausslegendre into only remaining GaussLegendre integral method
  • This change improved performance up to about 30% for GaussLegendre integrals.
• Reorganized utils.jl functions and added docstrings

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 100.00%. Comparing base (ce99b3e) to head (045a082).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff            @@
##              main      #147   +/-   ##
=========================================
  Coverage   100.00%   100.00%           
=========================================
  Files           18        18           
  Lines          167       166    -1     
=========================================
- Hits           167       166    -1     

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[github-actions]

Benchmark Results

	main	045a082...	main/045a082ea4dba5...
Differentials/Differential	0.24 ± 0.002 μs	0.24 ± 0.0019 μs	1
Differentials/Jacobian	0.206 ± 0.001 μs	0.205 ± 0.001 μs	1
Integrals/Segment/Scalar GaussKronrod	1.19 ± 0.005 μs	1.19 ± 0.006 μs	0.999
Integrals/Segment/Scalar GaussLegendre	8.58 ± 0.19 μs	6.89 ± 0.14 μs	1.24
Integrals/Segment/Scalar HAdaptiveCubature	1.45 ± 0.15 μs	1.44 ± 0.15 μs	1
Integrals/Segment/Vector GaussKronrod	3.38 ± 0.065 μs	3.45 ± 0.066 μs	0.982
Integrals/Segment/Vector GaussLegendre	24.6 ± 0.59 μs	22.8 ± 0.58 μs	1.08
Integrals/Segment/Vector HAdaptiveCubature	4.38 ± 0.083 μs	4.32 ± 0.089 μs	1.01
Integrals/Sphere/Scalar GaussKronrod	0.0821 ± 0.002 ms	0.0819 ± 0.002 ms	1
Integrals/Sphere/Scalar GaussLegendre	2.26 ± 0.0092 ms	2.26 ± 0.0093 ms	1
Integrals/Sphere/Scalar HAdaptiveCubature	0.0582 ± 0.0001 ms	0.0582 ± 0.00013 ms	1
Integrals/Sphere/Vector GaussKronrod	0.116 ± 0.00098 ms	0.115 ± 0.00091 ms	1
Integrals/Sphere/Vector GaussLegendre	3.6 ± 0.067 ms	3.62 ± 0.064 ms	0.993
Integrals/Sphere/Vector HAdaptiveCubature	0.109 ± 0.0014 ms	0.108 ± 0.0011 ms	1
Specializations/Scalar GaussLegendre/BezierCurve	0.251 ± 0.00067 ms	0.251 ± 0.003 ms	0.999
Specializations/Scalar GaussLegendre/Line	12.9 ± 0.39 μs	10.8 ± 0.55 μs	1.2
Specializations/Scalar GaussLegendre/Plane	0.902 ± 0.0066 ms	0.902 ± 0.01 ms	1
Specializations/Scalar GaussLegendre/Ray	12.5 ± 3 μs	10.4 ± 0.41 μs	1.2
Specializations/Scalar GaussLegendre/Tetrahedron	0.282 ± 0.0027 s	0.284 ± 0.0018 s	0.991
Specializations/Scalar GaussLegendre/Triangle	0.876 ± 0.044 ms	0.731 ± 0.0067 ms	1.2
time_to_load	1.49 ± 0.0034 s	1.5 ± 0.0035 s	0.995

Benchmark Plots

A plot of the benchmark results have been uploaded as an artifact to the workflow run for this PR.
Go to "Actions"->"Benchmark a pull request"->[the most recent run]->"Artifacts" (at the bottom).

[JoshuaLampert]

Thanks.