File: lowlevel_qp.cpp

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/*
 *    MIT No Attribution
 *
 *    Copyright (C) 2010-2023 Joel Andersson, Joris Gillis, Moritz Diehl, KU Leuven.
 *
 *    Permission is hereby granted, free of charge, to any person obtaining a copy of this
 *    software and associated documentation files (the "Software"), to deal in the Software
 *    without restriction, including without limitation the rights to use, copy, modify,
 *    merge, publish, distribute, sublicense, and/or sell copies of the Software, and to
 *    permit persons to whom the Software is furnished to do so.
 *
 *    THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED,
 *    INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
 *    PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
 *    HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
 *    OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
 *    SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 *
 */


#include <casadi/casadi.hpp>
/** Solve a QP using the low-level (conic) interface
  * The example below is QRECIPE from CUTE, borrowed from the qpOASES examples
  * Joel Andersson, 2016
  */

using namespace casadi;

// Matrix H in sparse triplet format
const int H_nrow = 180;
const int H_ncol = 180;
const std::vector<casadi_int> H_colind = {
  0,  4,  8, 12, 16, 20, 20, 20, 20, 20, 20,
  24, 28, 32, 36, 40, 40, 40, 40, 40, 40,
  44, 48, 52, 56, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60,
  64, 68, 72, 76, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80, 80, 80, 80, 80,
  80, 80, 80, 80, 80, 80
};
const std::vector<casadi_int> H_row = {
  0, 10, 20, 34, 1, 11, 21, 35, 2, 12, 22, 36, 3, 13, 23, 37, 4, 14, 24, 38,
   0, 10, 20, 34, 1, 11, 21, 35, 2, 12, 22, 36, 3, 13, 23, 37, 4, 14, 24, 38,
   0, 10, 20, 34, 1, 11, 21, 35, 2, 12, 22, 36, 3, 13, 23, 37, 4, 14, 24, 38,
   0, 10, 20, 34, 1, 11, 21, 35, 2, 12, 22, 36, 3, 13, 23, 37, 4, 14, 24, 38
};
const std::vector<double> H_nz = {
  10, 1, 1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 10, 1, 1,
    1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 1,
    10, 1, 1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 1, 10, 1,
    1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 10, 1, 1, 1, 10
};

// Matrix A in sparse triplet format
const int A_nrow = 91;
const int A_ncol = 180;
const std::vector<casadi_int> A_colind = {
  0,  10,  20,  30,  40,  50,  60,  70,  80,  90, 100, 110, 120,
  130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270,
  280, 290, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312,
  313, 314, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 331,
  333, 335, 337, 339, 341, 343, 345, 347, 349, 351, 353, 355, 357, 359, 361,
  363, 365, 367, 369, 371, 373, 383, 393, 403, 405, 408, 410, 413, 415, 418,
  420, 422, 424, 426, 428, 430, 432, 434, 436, 438, 440, 442, 444, 446, 448,
  450, 452, 454, 456, 458, 460, 462, 472, 482, 492, 494, 497, 499, 502, 504,
  507, 509, 511, 513, 515, 517, 519, 521, 523, 525, 527, 529, 531, 533, 535,
  537, 539, 541, 543, 545, 547, 549, 551, 561, 571, 581, 583, 586, 588, 591,
  593, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609,
  610, 611, 612, 613, 614, 615, 616, 617, 618, 628, 638, 648, 650, 653, 655,
  658, 660, 663
};
const std::vector<casadi_int> A_row = {
  0, 14, 35, 36, 71, 72, 85, 86, 87, 88, 1, 14, 35, 36, 71, 72, 85,
  86, 87, 88, 2, 14, 35, 36, 71, 72, 85, 86, 87, 88, 3, 14, 35, 36, 71, 72,
  85, 86, 87, 88, 4, 14, 35, 36, 71, 72, 85, 86, 87, 88, 5, 14, 35, 36, 71,
  72, 85, 86, 87, 88, 6, 14, 35, 36, 71, 72, 85, 86, 87, 88, 7, 14, 35, 36,
  71, 72, 85, 86, 87, 88, 8, 14, 35, 36, 71, 72, 85, 86, 87, 88, 9, 14, 35,
  36, 71, 72, 85, 86, 87, 88, 0, 15, 37, 38, 69, 70, 79, 80, 81, 82, 1, 15,
  37, 38, 69, 70, 79, 80, 81, 82, 2, 15, 37, 38, 69, 70, 79, 80, 81, 82, 3,
  15, 37, 38, 69, 70, 79, 80, 81, 82, 4, 15, 37, 38, 69, 70, 79, 80, 81, 82,
  5, 15, 37, 38, 69, 70, 79, 80, 81, 82, 6, 15, 37, 38, 69, 70, 79, 80, 81,
  82, 7, 15, 37, 38, 69, 70, 79, 80, 81, 82, 8, 15, 37, 38, 69, 70, 79, 80,
  81, 82, 9, 15, 37, 38, 69, 70, 79, 80, 81, 82, 0, 16, 39, 40, 67, 68, 73,
  74, 75, 76, 1, 16, 39, 40, 67, 68, 73, 74, 75, 76, 2, 16, 39, 40, 67, 68,
  73, 74, 75, 76, 3, 16, 39, 40, 67, 68, 73, 74, 75, 76, 4, 16, 39, 40, 67,
  68, 73, 74, 75, 76, 5, 16, 39, 40, 67, 68, 73, 74, 75, 76, 6, 16, 39, 40,
  67, 68, 73, 74, 75, 76, 7, 16, 39, 40, 67, 68, 73, 74, 75, 76, 8, 16, 39,
  40, 67, 68, 73, 74, 75, 76, 9, 16, 39, 40, 67, 68, 73, 74, 75, 76, 10, 11,
  12, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 47, 48, 49, 50, 51,
  52, 53, 54, 55, 56, 57, 47, 58, 48, 59, 49, 60, 50, 61, 51, 62, 52, 63, 53,
  64, 54, 65, 55, 66, 46, 56, 45, 57, 47, 58, 48, 59, 49, 60, 50, 61, 51, 62,
  52, 63, 53, 64, 54, 65, 55, 66, 46, 56, 45, 57, 10, 14, 71, 72, 85, 86, 87,
  88, 89, 90, 11, 15, 69, 70, 79, 80, 81, 82, 83, 84, 12, 16, 67, 68, 73, 74,
  75, 76, 77, 78, 35, 90, 36, 89, 90, 37, 84, 38, 83, 84, 39, 78, 40, 77, 78,
  44, 58, 43, 59, 42, 60, 41, 61, 34, 62, 33, 63, 32, 64, 31, 65, 30, 66, 29,
  46, 28, 45, 44, 58, 43, 59, 42, 60, 41, 61, 34, 62, 33, 63, 32, 64, 31, 65,
  30, 66, 29, 46, 28, 45, 10, 14, 71, 72, 85, 86, 87, 88, 89, 90, 11, 15, 69,
  70, 79, 80, 81, 82, 83, 84, 12, 16, 67, 68, 73, 74, 75, 76, 77, 78, 35, 90,
  36, 89, 90, 37, 84, 38, 83, 84, 39, 78, 40, 77, 78, 27, 44, 26, 43, 25, 42,
  24, 41, 23, 34, 22, 33, 21, 32, 20, 31, 19, 30, 18, 29, 17, 28, 27, 44, 26,
  43, 25, 42, 24, 41, 23, 34, 22, 33, 21, 32, 20, 31, 19, 30, 18, 29, 17, 28,
  10, 14, 71, 72, 85, 86, 87, 88, 89, 90, 11, 15, 69, 70, 79, 80, 81, 82, 83,
  84, 12, 16, 67, 68, 73, 74, 75, 76, 77, 78, 35, 90, 36, 89, 90, 37, 84, 38,
  83, 84, 39, 78, 40, 77, 78, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 27,
  26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 10, 14, 71, 72, 85, 86, 87, 88, 89,
  90, 11, 15, 69, 70, 79, 80, 81, 82, 83, 84, 12, 16, 67, 68, 73, 74, 75, 76,
  77, 78, 35, 90, 36, 89, 90, 37, 84, 38, 83, 84, 39, 78, 40, 77, 78
};
const std::vector<double> A_nz = {
  -1.0000000000000000e+00,  1.0000000000000000e+00,  8.8678200000000004e+01,
   9.3617050000000006e+01,  1.6000000000000000e+01,  8.1999999999999993e+00,
   9.9000000000000000e+01,  8.0000000000000000e+01,  1.2000000000000000e+01,
   9.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   8.0062830000000005e+01,  9.9224010000000007e+01,  1.0000000000000000e+02,
   2.1100000000000001e+01,  1.0000000000000000e+02,  1.0000000000000000e+02,
   1.1400000000000000e+02,  1.1680000000000000e+02, -1.0000000000000000e+00,
   1.0000000000000000e+00,  7.4697360000000003e+01,  8.3801220000000001e+01,
  -8.1999999999999993e+00,  2.0000000000000000e+00,  9.0000000000000000e+01,
   2.3999999999999999e+00, -1.2000000000000000e+01, -1.4800000000000001e+01,
  -1.0000000000000000e+00,  1.0000000000000000e+00,  7.9194209999999998e+01,
   9.0175110000000004e+01,  4.3000000000000000e+01,  8.0000000000000000e+00,
   1.0000000000000000e+02,  9.5000000000000000e+01,  9.0000000000000000e+00,
   2.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   7.8568219999999997e+01,  8.5996200000000002e+01, -1.2500000000000000e+01,
   1.0000000000000000e+00,  9.6500000000000000e+01,  4.0000000000000000e+00,
  -1.8000000000000000e+01, -2.1899999999999999e+01, -1.0000000000000000e+00,
   1.0000000000000000e+00,  8.2922240000000002e+01,  8.6963380000000001e+01,
   6.5000000000000000e+01,  1.2500000000000000e+01,  1.0000000000000000e+02,
   9.8000000000000000e+01,  4.9000000000000000e+01,  3.7000000000000000e+01,
  -1.0000000000000000e+00,  1.0000000000000000e+00,  8.2592740000000006e+01,
   9.3147599999999997e+01, -1.2000000000000000e+01,  1.0000000000000000e+00,
   9.6500000000000000e+01,  4.0000000000000000e+00, -1.8000000000000000e+01,
  -2.1899999999999999e+01, -1.0000000000000000e+00,  1.0000000000000000e+00,
   7.6506460000000004e+01,  7.8210250000000002e+01,  7.9000000000000000e+01,
   1.2000000000000000e+01,  1.0000000000000000e+02,  9.5000000000000000e+01,
   6.8000000000000000e+01,  6.1000000000000000e+01, -1.0000000000000000e+00,
   1.0000000000000000e+00,  8.8357460000000003e+01,  9.4257840000000002e+01,
   1.2500000000000000e+02,  6.1299999999999997e+01,  1.0000000000000000e+02,
   1.0000000000000000e+02,  1.4500000000000000e+02,  1.4500000000000000e+02,
  -1.0000000000000000e+00,  1.0000000000000000e+00,  9.0590469999999996e+01,
   1.0582863000000000e+02,  6.2000000000000002e+00,  6.0000000000000000e+00,
   9.7000000000000000e+01,  2.8500000000000000e+01,  4.0000000000000000e+00,
   3.6000000000000001e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   8.8678200000000004e+01,  9.3617050000000006e+01,  1.6000000000000000e+01,
   8.1999999999999993e+00,  9.9000000000000000e+01,  8.0000000000000000e+01,
   1.2000000000000000e+01,  9.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00,  8.0062830000000005e+01,  9.9224010000000007e+01,
   1.0000000000000000e+02,  2.1100000000000001e+01,  1.0000000000000000e+02,
   1.0000000000000000e+02,  1.1400000000000000e+02,  1.1680000000000000e+02,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  7.4697360000000003e+01,
   8.3801220000000001e+01, -8.1999999999999993e+00,  2.0000000000000000e+00,
   9.0000000000000000e+01,  2.3999999999999999e+00, -1.2000000000000000e+01,
   -1.4800000000000001e+01, -1.0000000000000000e+00,  1.0000000000000000e+00,
   7.9194209999999998e+01,  9.0175110000000004e+01,  4.3000000000000000e+01,
   8.0000000000000000e+00,  1.0000000000000000e+02,  9.5000000000000000e+01,
   9.0000000000000000e+00,  2.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00,  7.8568219999999997e+01,  8.5996200000000002e+01,
   -1.2500000000000000e+01,  1.0000000000000000e+00,  9.6500000000000000e+01,
   4.0000000000000000e+00, -1.8000000000000000e+01, -2.1899999999999999e+01,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  8.2922240000000002e+01,
   8.6963380000000001e+01,  6.5000000000000000e+01,  1.2500000000000000e+01,
   1.0000000000000000e+02,  9.8000000000000000e+01,  4.9000000000000000e+01,
   3.7000000000000000e+01, -1.0000000000000000e+00,  1.0000000000000000e+00,
   8.2592740000000006e+01,  9.3147599999999997e+01, -1.2000000000000000e+01,
   1.0000000000000000e+00,  9.6500000000000000e+01,  4.0000000000000000e+00,
   -1.8000000000000000e+01, -2.1899999999999999e+01, -1.0000000000000000e+00,
   1.0000000000000000e+00,  7.6506460000000004e+01,  7.8210250000000002e+01,
   7.9000000000000000e+01,  1.2000000000000000e+01,  1.0000000000000000e+02,
   9.5000000000000000e+01,  6.8000000000000000e+01,  6.1000000000000000e+01,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  8.8357460000000003e+01,
   9.4257840000000002e+01,  1.2500000000000000e+02,  6.1299999999999997e+01,
   1.0000000000000000e+02,  1.0000000000000000e+02,  1.4500000000000000e+02,
   1.4500000000000000e+02, -1.0000000000000000e+00,  1.0000000000000000e+00,
   9.0590469999999996e+01,  1.0582863000000000e+02,  6.2000000000000002e+00,
   6.0000000000000000e+00,  9.7000000000000000e+01,  2.8500000000000000e+01,
   4.0000000000000000e+00,  3.6000000000000001e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00,  8.8678200000000004e+01,  9.3617050000000006e+01,
   1.6000000000000000e+01,  8.1999999999999993e+00,  9.9000000000000000e+01,
   8.0000000000000000e+01,  1.2000000000000000e+01,  9.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  8.0062830000000005e+01,
   9.9224010000000007e+01,  1.0000000000000000e+02,  2.1100000000000001e+01,
   1.0000000000000000e+02,  1.0000000000000000e+02,  1.1400000000000000e+02,
   1.1680000000000000e+02, -1.0000000000000000e+00,  1.0000000000000000e+00,
   7.4697360000000003e+01,  8.3801220000000001e+01, -8.1999999999999993e+00,
   2.0000000000000000e+00,  9.0000000000000000e+01,  2.3999999999999999e+00,
   -1.2000000000000000e+01, -1.4800000000000001e+01, -1.0000000000000000e+00,
   1.0000000000000000e+00,  7.9194209999999998e+01,  9.0175110000000004e+01,
   4.3000000000000000e+01,  8.0000000000000000e+00,  1.0000000000000000e+02,
   9.5000000000000000e+01,  9.0000000000000000e+00,  2.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  7.8568219999999997e+01,
   8.5996200000000002e+01, -1.2500000000000000e+01,  1.0000000000000000e+00,
   9.6500000000000000e+01,  4.0000000000000000e+00, -1.8000000000000000e+01,
   -2.1899999999999999e+01, -1.0000000000000000e+00,  1.0000000000000000e+00,
   8.2922240000000002e+01,  8.6963380000000001e+01,  6.5000000000000000e+01,
   1.2500000000000000e+01,  1.0000000000000000e+02,  9.8000000000000000e+01,
   4.9000000000000000e+01,  3.7000000000000000e+01, -1.0000000000000000e+00,
   1.0000000000000000e+00,  8.2592740000000006e+01,  9.3147599999999997e+01,
   -1.2000000000000000e+01,  1.0000000000000000e+00,  9.6500000000000000e+01,
   4.0000000000000000e+00, -1.8000000000000000e+01, -2.1899999999999999e+01,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  7.6506460000000004e+01,
   7.8210250000000002e+01,  7.9000000000000000e+01,  1.2000000000000000e+01,
   1.0000000000000000e+02,  9.5000000000000000e+01,  6.8000000000000000e+01,
   6.1000000000000000e+01, -1.0000000000000000e+00,  1.0000000000000000e+00,
   8.8357460000000003e+01,  9.4257840000000002e+01,  1.2500000000000000e+02,
   6.1299999999999997e+01,  1.0000000000000000e+02,  1.0000000000000000e+02,
   1.4500000000000000e+02,  1.4500000000000000e+02, -1.0000000000000000e+00,
   1.0000000000000000e+00,  9.0590469999999996e+01,  1.0582863000000000e+02,
   6.2000000000000002e+00,  6.0000000000000000e+00,  9.7000000000000000e+01,
   2.8500000000000000e+01,  4.0000000000000000e+00,  3.6000000000000001e+00,
   -1.0000000000000000e+00, -1.0000000000000000e+00, -1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  1.0000000000000000e+00,
   1.0000000000000000e+00,  1.0000000000000000e+00,  1.0000000000000000e+00,
   1.0000000000000000e+00,  1.0000000000000000e+00,  1.0000000000000000e+00,
   1.0000000000000000e+00,  1.0000000000000000e+00, -1.2000000000000000e-01,
   -3.8000000000000000e-01, -5.0000000000000000e-01,  1.0000000000000000e+00,
   1.0000000000000000e+00,  1.0000000000000000e+00,  1.0000000000000000e+00,
   1.0000000000000000e+00,  1.0000000000000000e+00,  1.0000000000000000e+00,
   1.0000000000000000e+00,  1.0000000000000000e+00,  1.0000000000000000e+00,
   1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   -4.7000000000000000e+01, -8.6999999999999993e+00, -9.0000000000000000e+01,
   -5.0000000000000000e+01, -1.0000000000000000e+01, -1.0000000000000000e+01,
   -9.3000000000000000e+01, -8.9000000000000000e+01,  1.0000000000000000e+00,
   -1.0000000000000000e+00, -4.7000000000000000e+01, -8.6999999999999993e+00,
   -9.0000000000000000e+01, -5.0000000000000000e+01, -1.0000000000000000e+01,
   -1.0000000000000000e+01, -8.9000000000000000e+01, -8.5000000000000000e+01,
   1.0000000000000000e+00, -1.0000000000000000e+00, -4.7000000000000000e+01,
   -8.6999999999999993e+00, -9.0000000000000000e+01, -5.0000000000000000e+01,
   -1.0000000000000000e+01, -1.0000000000000000e+01, -9.1000000000000000e+01,
   -8.8000000000000000e+01, -1.0000000000000000e+00,  5.0000000000000000e-01,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  5.0000000000000000e-01,
   -1.0000000000000000e+00,  5.0000000000000000e-01, -1.0000000000000000e+00,
   1.0000000000000000e+00,  5.0000000000000000e-01, -1.0000000000000000e+00,
   5.0000000000000000e-01, -1.0000000000000000e+00,  1.0000000000000000e+00,
   5.0000000000000000e-01,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00, -4.7000000000000000e+01,
   -8.6999999999999993e+00, -9.0000000000000000e+01, -5.0000000000000000e+01,
   -1.0000000000000000e+01, -1.0000000000000000e+01, -9.3000000000000000e+01,
   -8.9000000000000000e+01,  1.0000000000000000e+00, -1.0000000000000000e+00,
   -4.7000000000000000e+01, -8.6999999999999993e+00, -9.0000000000000000e+01,
   -5.0000000000000000e+01, -1.0000000000000000e+01, -1.0000000000000000e+01,
   -8.9000000000000000e+01, -8.5000000000000000e+01,  1.0000000000000000e+00,
   -1.0000000000000000e+00, -4.7000000000000000e+01, -8.6999999999999993e+00,
   -9.0000000000000000e+01, -5.0000000000000000e+01, -1.0000000000000000e+01,
   -1.0000000000000000e+01, -9.1000000000000000e+01, -8.8000000000000000e+01,
   -1.0000000000000000e+00,  5.0000000000000000e-01, -1.0000000000000000e+00,
   1.0000000000000000e+00,  5.0000000000000000e-01, -1.0000000000000000e+00,
   5.0000000000000000e-01, -1.0000000000000000e+00,  1.0000000000000000e+00,
   5.0000000000000000e-01, -1.0000000000000000e+00,  5.0000000000000000e-01,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  5.0000000000000000e-01,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
   1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
    1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
    1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
    1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
    1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00,  1.0000000000000000e+00, -1.0000000000000000e+00,
    1.0000000000000000e+00, -1.0000000000000000e+00,  1.0000000000000000e+00,
   -1.0000000000000000e+00, -4.7000000000000000e+01, -8.6999999999999993e+00,
   -9.0000000000000000e+01, -5.0000000000000000e+01, -1.0000000000000000e+01,
   -1.0000000000000000e+01, -9.3000000000000000e+01, -8.9000000000000000e+01,
    1.0000000000000000e+00, -1.0000000000000000e+00, -4.7000000000000000e+01,
   -8.6999999999999993e+00, -9.0000000000000000e+01, -5.0000000000000000e+01,
   -1.0000000000000000e+01, -1.0000000000000000e+01, -8.9000000000000000e+01,
   -8.5000000000000000e+01,  1.0000000000000000e+00, -1.0000000000000000e+00,
   -4.7000000000000000e+01, -8.6999999999999993e+00, -9.0000000000000000e+01,
   -5.0000000000000000e+01, -1.0000000000000000e+01, -1.0000000000000000e+01,
   -9.1000000000000000e+01, -8.8000000000000000e+01, -1.0000000000000000e+00,
    5.0000000000000000e-01, -1.0000000000000000e+00,  1.0000000000000000e+00,
    5.0000000000000000e-01, -1.0000000000000000e+00,  5.0000000000000000e-01,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  5.0000000000000000e-01,
   -1.0000000000000000e+00,  5.0000000000000000e-01, -1.0000000000000000e+00,
    1.0000000000000000e+00,  5.0000000000000000e-01, -1.0000000000000000e+00,
   -1.0000000000000000e+00, -1.0000000000000000e+00, -1.0000000000000000e+00,
   -1.0000000000000000e+00, -1.0000000000000000e+00, -1.0000000000000000e+00,
   -1.0000000000000000e+00, -1.0000000000000000e+00, -1.0000000000000000e+00,
   -1.0000000000000000e+00, -1.0000000000000000e+00, -1.0000000000000000e+00,
   -1.0000000000000000e+00, -1.0000000000000000e+00, -1.0000000000000000e+00,
   -1.0000000000000000e+00, -1.0000000000000000e+00, -1.0000000000000000e+00,
   -1.0000000000000000e+00, -1.0000000000000000e+00, -1.0000000000000000e+00,
    1.0000000000000000e+00, -1.0000000000000000e+00, -4.7000000000000000e+01,
   -8.6999999999999993e+00, -9.0000000000000000e+01, -5.0000000000000000e+01,
   -1.0000000000000000e+01, -1.0000000000000000e+01, -9.3000000000000000e+01,
   -8.9000000000000000e+01,  1.0000000000000000e+00, -1.0000000000000000e+00,
   -4.7000000000000000e+01, -8.6999999999999993e+00, -9.0000000000000000e+01,
   -5.0000000000000000e+01, -1.0000000000000000e+01, -1.0000000000000000e+01,
   -8.9000000000000000e+01, -8.5000000000000000e+01,  1.0000000000000000e+00,
   -1.0000000000000000e+00, -4.7000000000000000e+01, -8.6999999999999993e+00,
   -9.0000000000000000e+01, -5.0000000000000000e+01, -1.0000000000000000e+01,
   -1.0000000000000000e+01, -9.1000000000000000e+01, -8.8000000000000000e+01,
   -1.0000000000000000e+00,  5.0000000000000000e-01, -1.0000000000000000e+00,
    1.0000000000000000e+00,  5.0000000000000000e-01, -1.0000000000000000e+00,
    5.0000000000000000e-01, -1.0000000000000000e+00,  1.0000000000000000e+00,
    5.0000000000000000e-01, -1.0000000000000000e+00,  5.0000000000000000e-01,
   -1.0000000000000000e+00,  1.0000000000000000e+00,  5.0000000000000000e-01
};

const std::vector<double> g = {
  +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00,
  +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00,
  +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00,
  +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00,
  +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00,
  +0e+00, +0e+00, -2e+00, -2e+00, -2e+00, -2e+00, -2e+00, -2e+00, -2e+00,
  -2e+00, +0e+00, -2e+00, +0e+00, +2e-03, +2e-03, +2e-03, +2e-03, +2e-03,
  +2e-03, +1e-03, +2e-03, +2e-03, +2e-03, +0e+00, -2e-03, -2e-03, -2e-03,
  -2e-03, -2e-03, -2e-03, -1e-03, -2e-03, -2e-03, -2e-03, +0e+00, +0e+00,
  +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +2e-03,
  +2e-03, +2e-03, +2e-03, +2e-03, +2e-03, +1e-03, +2e-03, +2e-03, +2e-03,
  +0e+00, -2e-03, -2e-03, -2e-03, -2e-03, -2e-03, -2e-03, -1e-03, -2e-03,
  -2e-03, -2e-03, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00,
  +0e+00, +0e+00, +0e+00, +2e-03, +2e-03, +2e-03, +2e-03, +2e-03, +2e-03,
  +1e-03, +2e-03, +2e-03, +2e-03, +0e+00, -2e-03, -2e-03, -2e-03, -2e-03,
  -2e-03, -2e-03, -1e-03, -2e-03, -2e-03, -2e-03, +0e+00, +0e+00, +0e+00,
  +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +1e-01, +1e-01,
  +1e-01, +1e-01, +1e-01, +1e-01, +1e-01, +1e-01, +1e-01, +1e-01, +0e+00,
  -1e-01, -1e-01, -1e-01, -1e-01, -1e-01, -1e-01, -1e-01, -1e-01, -1e-01,
  -1e-01, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00, +0e+00,
  +0e+00
};
const std::vector<double> lbx = {
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, -inf, 0, -inf, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 5,
  10, 5, 0, 10, 0, 2, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 10, 5, 10, 5, 0, 10, 0, 5, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 5, 10, 5, 0, 10, 0, 5, 0, 10, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
const std::vector<double> ubx = {
  inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf,
  inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf,
  inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf,
  inf, inf, 0, 92, 39, 87, 29, 0, 20, 0, 28, 20, 71, inf, 130, 45, 53, 55, 75,
  112, 0, 73, 480, 154, 121, 50, 30, 77, 20, 0, 18, 0, 5, 20, 71, inf, inf,
  inf, inf, inf, inf, inf, inf, inf, inf, 130, 55, 93, 60, 75, 115, 0, 67,
  480, 154, 121, 50, 20, 37, 15, 0, 15, 0, 8, 20, 71, inf, inf, inf, inf, inf,
  inf, inf, inf, inf, inf, 130, 55, 93, 60, 75, 105, 0, 67, 4980, 154, 110,
  50, 20, 37, 15, 0, 25, 0, 8, 20, 71, inf, inf, inf, inf, inf, inf, inf, inf,
  inf, inf, 20, 20, 20, 20, 0, 20, 0, 20, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, inf, inf, inf, inf, inf, inf, inf, inf, inf
};

const std::vector<double> lba = {
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -inf, -inf,
  -inf, -inf, -inf, -inf, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0
};
const std::vector<double> uba = {
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf, inf,
  inf, inf, inf, inf
};

int main(){
  // Create QP matrices
  DM H(Sparsity(H_nrow, H_ncol, H_colind, H_row), H_nz);
  DM A(Sparsity(A_nrow, A_ncol, A_colind, A_row), A_nz);

  // Create conic solver
  SpDict qp = {{"h", H.sparsity()}, {"a", A.sparsity()}};
  Function F = conic("F", "qpoases", qp, {{"sparse", true}, {"schur", false}, {"max_schur", 20}, {"hessian_type", "posdef"}});
  //Function F = conic("F", "cplex", qp);
  //Function F = conic("F", "ooqp", qp);
  //Function F = conic("F", "gurobi", qp);

  // Get the optimal solution
  DMDict arg = {{"h", H}, {"a", A}, {"g", g},
                {"lbx", lbx}, {"ubx", ubx},
                {"lba", lba}, {"uba", uba}};
  DMDict res = F(arg);
  std::cout << "res = " << res << std::endl;

  return 0;
}