Add tests

[ocots]

Need to add the comparison between the exa problems and the others in test_init, test_solution and test_quick.

[ocots]

@jbcaillau I have updated the unit tests. Now all the problems "_s" are tested and compared to JuMP.

But, I haven't checked yet that all the tests pass except for:

    :bioreactor,
    :cart_pendulum,
    :dielectrophoretic_particle,
    :moonlander,

[ocots]

Testing init

@jbcaillau @PierreMartinon For :glider, even if we set tfinit=1, we get in the tests:

┌─ glider (init)
│
├─ Iterations
│      → JP: 0  OC: 0  OS: 0
├─ Variables
│      → JP: 2506  OC: 2506  PASS
│      → JP: 2506  OS: 2506  PASS
├─ Constraints
│      → JP: 2007  OC: 2007  PASS
│      → JP: 2007  OS: 2007  PASS
├─ Final time
│      → JP: 1.000e+00  OC: 1.000e+00  r_err=0.000e+00  a_err=0.000e+00  bound=1.000e-06  PASS
│      → JP: 1.000e+00  OS: 7.000e-01  r_err=3.529e-01  a_err=3.000e-01  bound=1.000e-06  FAIL
├─ Grid length
│      → JP: 501  OC: 501  PASS
│      → JP: 501  OS: 501  PASS
├─ Objective
│      → JP: -1.323e+01  OC: -1.323e+01  r_err=-0.000e+00  a_err=0.000e+00  bound=1.000e-06  PASS
│      → JP: -1.323e+01  OS: -1.323e+01  r_err=-0.000e+00  a_err=0.000e+00  bound=1.000e-06  PASS
└─

Note that I have set :madnlp and :exa for glider_s.

Note

It works with :madnlp and :adnlp.

[ocots]

I have printed the time grid and the variable in the build solution:

BUILD SOLUTION: glider

time grid: [0.0, 0.002, 0.004, 0.006, 0.008, 0.01, 0.012, 0.014, 0.016, 0.018, 0.02, 0.022, 0.024, 0.026, 0.028, 0.03, 0.032, 0.034, 0.036, 0.038, 0.04, 0.042, 0.044, 0.046, 0.048, 0.05, 0.052, 0.054, 0.056, 0.058, 0.06, 0.062, 0.064, 0.066, 0.068, 0.07, 0.072, 0.074, 0.076, 0.078, 0.08, 0.082, 0.084, 0.086, 0.088, 0.09, 0.092, 0.094, 0.096, 0.098, 0.1, 0.102, 0.104, 0.106, 0.108, 0.11, 0.112, 0.114, 0.116, 0.118, 0.12, 0.122, 0.124, 0.126, 0.128, 0.13, 0.132, 0.134, 0.136, 0.138, 0.14, 0.142, 0.144, 0.146, 0.148, 0.15, 0.152, 0.154, 0.156, 0.158, 0.16, 0.162, 0.164, 0.166, 0.168, 0.17, 0.172, 0.174, 0.176, 0.178, 0.18, 0.182, 0.184, 0.186, 0.188, 0.19, 0.192, 0.194, 0.196, 0.198, 0.2, 0.202, 0.204, 0.206, 0.208, 0.21, 0.212, 0.214, 0.216, 0.218, 0.22, 0.222, 0.224, 0.226, 0.228, 0.23, 0.232, 0.234, 0.236, 0.238, 0.24, 0.242, 0.244, 0.246, 0.248, 0.25, 0.252, 0.254, 0.256, 0.258, 0.26, 0.262, 0.264, 0.266, 0.268, 0.27, 0.272, 0.274, 0.276, 0.278, 0.28, 0.282, 0.284, 0.286, 0.288, 0.29, 0.292, 0.294, 0.296, 0.298, 0.3, 0.302, 0.304, 0.306, 0.308, 0.31, 0.312, 0.314, 0.316, 0.318, 0.32, 0.322, 0.324, 0.326, 0.328, 0.33, 0.332, 0.334, 0.336, 0.338, 0.34, 0.342, 0.344, 0.346, 0.348, 0.35, 0.352, 0.354, 0.356, 0.358, 0.36, 0.362, 0.364, 0.366, 0.368, 0.37, 0.372, 0.374, 0.376, 0.378, 0.38, 0.382, 0.384, 0.386, 0.388, 0.39, 0.392, 0.394, 0.396, 0.398, 0.4, 0.402, 0.404, 0.406, 0.408, 0.41, 0.412, 0.414, 0.416, 0.418, 0.42, 0.422, 0.424, 0.426, 0.428, 0.43, 0.432, 0.434, 0.436, 0.438, 0.44, 0.442, 0.444, 0.446, 0.448, 0.45, 0.452, 0.454, 0.456, 0.458, 0.46, 0.462, 0.464, 0.466, 0.468, 0.47, 0.472, 0.474, 0.476, 0.478, 0.48, 0.482, 0.484, 0.486, 0.488, 0.49, 0.492, 0.494, 0.496, 0.498, 0.5, 0.502, 0.504, 0.506, 0.508, 0.51, 0.512, 0.514, 0.516, 0.518, 0.52, 0.522, 0.524, 0.526, 0.528, 0.53, 0.532, 0.534, 0.536, 0.538, 0.54, 0.542, 0.544, 0.546, 0.548, 0.55, 0.552, 0.554, 0.556, 0.558, 0.56, 0.562, 0.564, 0.566, 0.568, 0.57, 0.572, 0.574, 0.576, 0.578, 0.58, 0.582, 0.584, 0.586, 0.588, 0.59, 0.592, 0.594, 0.596, 0.598, 0.6, 0.602, 0.604, 0.606, 0.608, 0.61, 0.612, 0.614, 0.616, 0.618, 0.62, 0.622, 0.624, 0.626, 0.628, 0.63, 0.632, 0.634, 0.636, 0.638, 0.64, 0.642, 0.644, 0.646, 0.648, 0.65, 0.652, 0.654, 0.656, 0.658, 0.66, 0.662, 0.664, 0.666, 0.668, 0.67, 0.672, 0.674, 0.676, 0.678, 0.68, 0.682, 0.684, 0.686, 0.688, 0.69, 0.692, 0.694, 0.696, 0.698, 0.7, 0.702, 0.704, 0.706, 0.708, 0.71, 0.712, 0.714, 0.716, 0.718, 0.72, 0.722, 0.724, 0.726, 0.728, 0.73, 0.732, 0.734, 0.736, 0.738, 0.74, 0.742, 0.744, 0.746, 0.748, 0.75, 0.752, 0.754, 0.756, 0.758, 0.76, 0.762, 0.764, 0.766, 0.768, 0.77, 0.772, 0.774, 0.776, 0.778, 0.78, 0.782, 0.784, 0.786, 0.788, 0.79, 0.792, 0.794, 0.796, 0.798, 0.8, 0.802, 0.804, 0.806, 0.808, 0.81, 0.812, 0.814, 0.816, 0.818, 0.82, 0.822, 0.824, 0.826, 0.828, 0.83, 0.832, 0.834, 0.836, 0.838, 0.84, 0.842, 0.844, 0.846, 0.848, 0.85, 0.852, 0.854, 0.856, 0.858, 0.86, 0.862, 0.864, 0.866, 0.868, 0.87, 0.872, 0.874, 0.876, 0.878, 0.88, 0.882, 0.884, 0.886, 0.888, 0.89, 0.892, 0.894, 0.896, 0.898, 0.9, 0.902, 0.904, 0.906, 0.908, 0.91, 0.912, 0.914, 0.916, 0.918, 0.92, 0.922, 0.924, 0.926, 0.928, 0.93, 0.932, 0.934, 0.936, 0.938, 0.94, 0.942, 0.944, 0.946, 0.948, 0.95, 0.952, 0.954, 0.956, 0.958, 0.96, 0.962, 0.964, 0.966, 0.968, 0.97, 0.972, 0.974, 0.976, 0.978, 0.98, 0.982, 0.984, 0.986, 0.988, 0.99, 0.992, 0.994, 0.996, 0.998, 1.0]
variable: [1.0]

BUILD SOLUTION: glider_s

time grid: [0.0, 0.0014, 0.0028, 0.0042, 0.0056, 0.006999999999999999, 0.0084, 0.0098, 0.0112, 0.012599999999999998, 0.013999999999999999, 0.015399999999999999, 0.0168, 0.018199999999999997, 0.0196, 0.020999999999999998, 0.0224, 0.0238, 0.025199999999999997, 0.0266, 0.027999999999999997, 0.0294, 0.030799999999999998, 0.0322, 0.0336, 0.034999999999999996, 0.036399999999999995, 0.0378, 0.0392, 0.0406, 0.041999999999999996, 0.043399999999999994, 0.0448, 0.0462, 0.0476, 0.049, 0.05039999999999999, 0.05179999999999999, 0.0532, 0.054599999999999996, 0.055999999999999994, 0.0574, 0.0588, 0.06019999999999999, 0.061599999999999995, 0.063, 0.0644, 0.0658, 0.0672, 0.0686, 0.06999999999999999, 0.07139999999999999, 0.07279999999999999, 0.07419999999999999, 0.0756, 0.077, 0.0784, 0.0798, 0.0812, 0.08259999999999999, 0.08399999999999999, 0.08539999999999999, 0.08679999999999999, 0.0882, 0.0896, 0.091, 0.0924, 0.0938, 0.0952, 0.0966, 0.098, 0.09939999999999999, 0.10079999999999999, 0.10219999999999999, 0.10359999999999998, 0.105, 0.1064, 0.10779999999999999, 0.10919999999999999, 0.11059999999999999, 0.11199999999999999, 0.1134, 0.1148, 0.1162, 0.1176, 0.119, 0.12039999999999998, 0.12179999999999998, 0.12319999999999999, 0.12459999999999999, 0.126, 0.12739999999999999, 0.1288, 0.13019999999999998, 0.1316, 0.13299999999999998, 0.1344, 0.1358, 0.1372, 0.1386, 0.13999999999999999, 0.1414, 0.14279999999999998, 0.1442, 0.14559999999999998, 0.147, 0.14839999999999998, 0.1498, 0.1512, 0.15259999999999999, 0.154, 0.15539999999999998, 0.1568, 0.1582, 0.1596, 0.161, 0.1624, 0.1638, 0.16519999999999999, 0.16659999999999997, 0.16799999999999998, 0.1694, 0.17079999999999998, 0.1722, 0.17359999999999998, 0.175, 0.1764, 0.17779999999999999, 0.1792, 0.18059999999999998, 0.182, 0.1834, 0.1848, 0.1862, 0.1876, 0.189, 0.1904, 0.1918, 0.1932, 0.1946, 0.196, 0.19739999999999996, 0.19879999999999998, 0.20019999999999996, 0.20159999999999997, 0.20299999999999999, 0.20439999999999997, 0.20579999999999998, 0.20719999999999997, 0.20859999999999998, 0.21, 0.21139999999999998, 0.2128, 0.21419999999999997, 0.21559999999999999, 0.217, 0.21839999999999998, 0.2198, 0.22119999999999998, 0.2226, 0.22399999999999998, 0.2254, 0.2268, 0.2282, 0.2296, 0.23099999999999998, 0.2324, 0.2338, 0.2352, 0.2366, 0.238, 0.2394, 0.24079999999999996, 0.24219999999999997, 0.24359999999999996, 0.24499999999999997, 0.24639999999999998, 0.24779999999999996, 0.24919999999999998, 0.2506, 0.252, 0.25339999999999996, 0.25479999999999997, 0.2562, 0.2576, 0.259, 0.26039999999999996, 0.2618, 0.2632, 0.2646, 0.26599999999999996, 0.26739999999999997, 0.2688, 0.2702, 0.2716, 0.27299999999999996, 0.2744, 0.2758, 0.2772, 0.2786, 0.27999999999999997, 0.2814, 0.2828, 0.2842, 0.28559999999999997, 0.287, 0.2884, 0.28979999999999995, 0.29119999999999996, 0.29259999999999997, 0.294, 0.2954, 0.29679999999999995, 0.29819999999999997, 0.2996, 0.301, 0.3024, 0.30379999999999996, 0.30519999999999997, 0.3066, 0.308, 0.3094, 0.31079999999999997, 0.3122, 0.3136, 0.315, 0.3164, 0.31779999999999997, 0.3192, 0.3206, 0.322, 0.3234, 0.3248, 0.3262, 0.3276, 0.32899999999999996, 0.33039999999999997, 0.3318, 0.33319999999999994, 0.33459999999999995, 0.33599999999999997, 0.3374, 0.3388, 0.34019999999999995, 0.34159999999999996, 0.34299999999999997, 0.3444, 0.3458, 0.34719999999999995, 0.34859999999999997, 0.35, 0.3514, 0.3528, 0.35419999999999996, 0.35559999999999997, 0.357, 0.3584, 0.3598, 0.36119999999999997, 0.3626, 0.364, 0.3654, 0.3668, 0.36819999999999997, 0.3696, 0.371, 0.3724, 0.3738, 0.3752, 0.3766, 0.378, 0.3794, 0.3808, 0.3822, 0.3836, 0.385, 0.3864, 0.38780000000000003, 0.3892, 0.3906, 0.392, 0.3934, 0.39479999999999993, 0.39619999999999994, 0.39759999999999995, 0.39899999999999997, 0.4003999999999999, 0.40179999999999993, 0.40319999999999995, 0.40459999999999996, 0.40599999999999997, 0.40739999999999993, 0.40879999999999994, 0.41019999999999995, 0.41159999999999997, 0.413, 0.41439999999999994, 0.41579999999999995, 0.41719999999999996, 0.41859999999999997, 0.42, 0.42139999999999994, 0.42279999999999995, 0.42419999999999997, 0.4256, 0.427, 0.42839999999999995, 0.42979999999999996, 0.43119999999999997, 0.4326, 0.434, 0.43539999999999995, 0.43679999999999997, 0.4382, 0.4396, 0.44099999999999995, 0.44239999999999996, 0.4438, 0.4452, 0.4466, 0.44799999999999995, 0.44939999999999997, 0.4508, 0.4522, 0.4536, 0.45499999999999996, 0.4564, 0.4578, 0.4592, 0.4606, 0.46199999999999997, 0.4634, 0.4648, 0.4662, 0.4676, 0.469, 0.4704, 0.4718, 0.4732, 0.4746, 0.476, 0.4774, 0.4788, 0.4802, 0.4815999999999999, 0.48299999999999993, 0.48439999999999994, 0.48579999999999995, 0.4871999999999999, 0.4885999999999999, 0.48999999999999994, 0.49139999999999995, 0.49279999999999996, 0.4941999999999999, 0.49559999999999993, 0.49699999999999994, 0.49839999999999995, 0.49979999999999997, 0.5012, 0.5025999999999999, 0.504, 0.5054, 0.5067999999999999, 0.5082, 0.5095999999999999, 0.511, 0.5124, 0.5137999999999999, 0.5152, 0.5166, 0.518, 0.5194, 0.5207999999999999, 0.5222, 0.5236, 0.5249999999999999, 0.5264, 0.5277999999999999, 0.5292, 0.5306, 0.5319999999999999, 0.5334, 0.5347999999999999, 0.5362, 0.5376, 0.5389999999999999, 0.5404, 0.5418, 0.5432, 0.5446, 0.5459999999999999, 0.5474, 0.5488, 0.5502, 0.5516, 0.5529999999999999, 0.5544, 0.5558, 0.5572, 0.5586, 0.5599999999999999, 0.5614, 0.5628, 0.5642, 0.5656, 0.567, 0.5684, 0.5698, 0.5711999999999999, 0.5725999999999999, 0.574, 0.5753999999999999, 0.5768, 0.5781999999999999, 0.5795999999999999, 0.581, 0.5823999999999999, 0.5838, 0.5851999999999999, 0.5865999999999999, 0.588, 0.5893999999999999, 0.5908, 0.5922, 0.5935999999999999, 0.595, 0.5963999999999999, 0.5978, 0.5992, 0.6005999999999999, 0.602, 0.6033999999999999, 0.6048, 0.6062, 0.6075999999999999, 0.609, 0.6103999999999999, 0.6118, 0.6132, 0.6145999999999999, 0.616, 0.6174, 0.6188, 0.6202, 0.6215999999999999, 0.623, 0.6244, 0.6258, 0.6272, 0.6285999999999999, 0.63, 0.6314, 0.6328, 0.6342, 0.6355999999999999, 0.637, 0.6384, 0.6398, 0.6412, 0.6426, 0.644, 0.6454, 0.6468, 0.6482, 0.6496, 0.651, 0.6524, 0.6538, 0.6552, 0.6566, 0.6579999999999999, 0.6593999999999999, 0.6607999999999999, 0.6621999999999999, 0.6636, 0.6649999999999999, 0.6663999999999999, 0.6678, 0.6691999999999999, 0.6706, 0.6719999999999999, 0.6733999999999999, 0.6748, 0.6761999999999999, 0.6776, 0.6789999999999999, 0.6803999999999999, 0.6818, 0.6831999999999999, 0.6846, 0.6859999999999999, 0.6873999999999999, 0.6888, 0.6901999999999999, 0.6916, 0.693, 0.6943999999999999, 0.6958, 0.6971999999999999, 0.6986, 0.7]
variable: [1.0]

Clearly, the time grid is not reconstructed well.