Examples of using various automatic differentiation libraries.

[zhanggiene]

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Demonstration the capability of using Autodiff and Stanmath Libraries. Design and implementation of 4 different pdf with various complexity and dimensions. Speed comparsion of different automatic differentiation libraires in the comtext of hmc sampling. Testing of Nutshmc with complex and high-dimensional pdf. Extend the polytope cube to length or more than 1.

[codecov[bot]]

Codecov Report

Merging #243 (879b22c) into develop (38f6b34) will decrease coverage by 0.01%. The diff coverage is 100.00%.

@@             Coverage Diff             @@
##           develop     #243      +/-   ##
===========================================
- Coverage    53.78%   53.76%   -0.02%     
===========================================
  Files           93       93              
  Lines         5552     5552              
  Branches      2573     2574       +1     
===========================================
- Hits          2986     2985       -1     
  Misses        1029     1029              
- Partials      1537     1538       +1     

Impacted Files	Coverage Δ
include/generators/known_polytope_generators.h	80.00% <100.00%> (ø)
include/preprocess/crhmc/crhmc_problem.h	44.11% <0.00%> (-0.30%)	:arrow_down:

[zhanggiene]

refer to #256 for an updated PR.