2nd Order NAE Constraints

[dpanici]

• make tests for this

[github-actions]

|             benchmark_name             |         dt(%)          |         dt(s)          |        t_new(s)        |        t_old(s)        | 
| -------------------------------------- | ---------------------- | ---------------------- | ---------------------- | ---------------------- |
 test_build_transform_fft_lowres         |     -5.04 +/- 10.11    | -2.74e-02 +/- 5.51e-02 |  5.17e-01 +/- 2.3e-02  |  5.45e-01 +/- 5.0e-02  |
 test_build_transform_fft_midres         |     -3.40 +/- 6.78     | -2.09e-02 +/- 4.17e-02 |  5.94e-01 +/- 8.3e-03  |  6.15e-01 +/- 4.1e-02  |
 test_build_transform_fft_highres        |     -3.38 +/- 5.05     | -3.39e-02 +/- 5.07e-02 |  9.70e-01 +/- 9.2e-03  |  1.00e+00 +/- 5.0e-02  |
 test_equilibrium_init_lowres            |     -2.28 +/- 10.20    | -8.82e-02 +/- 3.95e-01 |  3.78e+00 +/- 2.2e-01  |  3.87e+00 +/- 3.3e-01  |
 test_equilibrium_init_medres            |     +0.02 +/- 9.41     | +8.85e-04 +/- 4.13e-01 |  4.38e+00 +/- 2.7e-01  |  4.38e+00 +/- 3.1e-01  |
 test_equilibrium_init_highres           |     +4.35 +/- 8.05     | +2.47e-01 +/- 4.57e-01 |  5.93e+00 +/- 1.3e-01  |  5.68e+00 +/- 4.4e-01  |
 test_objective_compile_dshape_current   |     +4.15 +/- 2.29     | +1.58e-01 +/- 8.70e-02 |  3.96e+00 +/- 4.0e-02  |  3.80e+00 +/- 7.7e-02  |
 test_objective_compile_atf              |     +4.89 +/- 3.71     | +4.00e-01 +/- 3.03e-01 |  8.58e+00 +/- 2.9e-01  |  8.18e+00 +/- 8.8e-02  |
 test_objective_compute_dshape_current   |     +4.08 +/- 5.00     | +5.10e-05 +/- 6.24e-05 |  1.30e-03 +/- 5.8e-05  |  1.25e-03 +/- 2.4e-05  |
 test_objective_compute_atf              |     +9.47 +/- 4.51     | +3.99e-04 +/- 1.90e-04 |  4.61e-03 +/- 1.2e-04  |  4.21e-03 +/- 1.5e-04  |
 test_objective_jac_dshape_current       |     +1.53 +/- 9.87     | +5.75e-04 +/- 3.70e-03 |  3.80e-02 +/- 3.0e-03  |  3.75e-02 +/- 2.2e-03  |
 test_objective_jac_atf                  |     +2.00 +/- 3.90     | +3.71e-02 +/- 7.22e-02 |  1.89e+00 +/- 5.3e-02  |  1.85e+00 +/- 4.9e-02  |
 test_perturb_1                          |     +9.70 +/- 3.42     | +1.28e+00 +/- 4.51e-01 |  1.45e+01 +/- 4.1e-01  |  1.32e+01 +/- 1.8e-01  |
 test_perturb_2                          |     +1.67 +/- 4.43     | +3.10e-01 +/- 8.21e-01 |  1.88e+01 +/- 4.5e-01  |  1.85e+01 +/- 6.8e-01  |
 test_proximal_jac_atf                   |     +0.83 +/- 1.31     | +6.64e-02 +/- 1.05e-01 |  8.09e+00 +/- 9.2e-02  |  8.03e+00 +/- 5.1e-02  |
 test_proximal_freeb_compute             |     -0.81 +/- 1.21     | -1.47e-03 +/- 2.19e-03 |  1.79e-01 +/- 2.0e-03  |  1.80e-01 +/- 9.4e-04  |
 test_proximal_freeb_jac                 |     -1.51 +/- 3.65     | -1.13e-01 +/- 2.72e-01 |  7.34e+00 +/- 2.6e-01  |  7.45e+00 +/- 8.7e-02  |
 test_solve_fixed_iter                   |     -1.90 +/- 14.99    | -3.46e-01 +/- 2.73e+00 |  1.78e+01 +/- 2.0e+00  |  1.82e+01 +/- 1.9e+00  |

[codecov]

Codecov Report

Attention: Patch coverage is 5.01044% with 455 lines in your changes missing coverage. Please review.

Project coverage is 93.55%. Comparing base (dd3f472) to head (5bcd15a).
Report is 13 commits behind head on master.

Files	Patch %	Lines
desc/objectives/nae_utils.py	1.36%	434 Missing ⚠️
desc/equilibrium/equilibrium.py	44.11%	19 Missing ⚠️
desc/objectives/getters.py	60.00%	2 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #1036      +/-   ##
==========================================
- Coverage   95.47%   93.55%   -1.92%     
==========================================
  Files          87       87              
  Lines       22277    22739     +462     
==========================================
+ Hits        21268    21274       +6     
- Misses       1009     1465     +456     

Files	Coverage Δ
desc/objectives/utils.py	100.00% <ø> (ø)
desc/objectives/getters.py	93.97% <60.00%> (-1.09%)	⬇️
desc/equilibrium/equilibrium.py	93.27% <44.11%> (-2.43%)	⬇️
desc/objectives/nae_utils.py	32.72% <1.36%> (-64.51%)	⬇️

... and 2 files with indirect coverage changes