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/* Copyright (c) 2008-2025 the MRtrix3 contributors.
*
* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/.
*
* Covered Software is provided under this License on an "as is"
* basis, without warranty of any kind, either expressed, implied, or
* statutory, including, without limitation, warranties that the
* Covered Software is free of defects, merchantable, fit for a
* particular purpose or non-infringing.
* See the Mozilla Public License v. 2.0 for more details.
*
* For more details, see http://www.mrtrix.org/.
*/
#include "command.h"
#include "mrtrix.h"
#include "debug.h"
#include "math/constrained_least_squares.h"
using namespace MR;
using namespace App;
void usage ()
{
AUTHOR = "J-Donald Tournier (jdtournier@gmail.com)";
SYNOPSIS = "Test the constrained least-squares solver";
REQUIRES_AT_LEAST_ONE_ARGUMENT = false;
}
using matrix_type = Eigen::MatrixXd;
using vector_type = Eigen::VectorXd;;
const size_t num_sig = 100;
const size_t num_coef = 50;
const size_t num_ineq = 290;
const size_t num_eq = 10;
// random test data generated in Matlab:
double problem_matrix_data[] = { 0.814723686393179, 0.905791937075619, 0.126986816293506, 0.913375856139019, 0.63235924622541, 0.0975404049994095, 0.278498218867048, 0.546881519204984, 0.957506835434298, 0.964888535199277, 0.157613081677548, 0.970592781760616, 0.957166948242946, 0.485375648722841, 0.8002804688888, 0.141886338627215, 0.421761282626275, 0.915735525189067, 0.792207329559554, 0.959492426392903, 0.655740699156587, 0.0357116785741896, 0.849129305868777, 0.933993247757551, 0.678735154857773, 0.757740130578333, 0.743132468124916, 0.392227019534168, 0.655477890177557, 0.171186687811562, 0.706046088019609, 0.0318328463774207, 0.27692298496089, 0.0461713906311539, 0.0971317812358475, 0.823457828327293, 0.694828622975817, 0.317099480060861, 0.950222048838355, 0.0344460805029088, 0.438744359656398, 0.381558457093008, 0.765516788149002, 0.795199901137063, 0.186872604554379, 0.489764395788231, 0.445586200710899, 0.646313010111265, 0.709364830858073, 0.754686681982361, 0.276025076998578, 0.679702676853675, 0.655098003973841, 0.162611735194631, 0.118997681558377, 0.498364051982143, 0.959743958516081, 0.340385726666133, 0.585267750979777, 0.223811939491137, 0.751267059305653, 0.255095115459269, 0.505957051665142, 0.699076722656686, 0.890903252535798, 0.959291425205444, 0.547215529963803, 0.138624442828679, 0.149294005559057, 0.257508254123736, 0.840717255983663, 0.254282178971531, 0.814284826068816, 0.243524968724989, 0.929263623187228, 0.349983765984809, 0.196595250431208, 0.251083857976031, 0.616044676146639, 0.473288848902729, 0.351659507062997, 0.830828627896291, 0.585264091152724, 0.54972360829114, 0.91719366382981, 0.285839018820374, 0.757200229110721, 0.753729094278495, 0.380445846975357, 0.567821640725221, 0.0758542895630636, 0.0539501186666071, 0.530797553008973, 0.779167230102011, 0.934010684229183, 0.12990620847373, 0.568823660872193, 0.469390641058206, 0.0119020695012414, 0.337122644398882, 0.162182308193243, 0.794284540683907, 0.311215042044805, 0.528533135506213, 0.165648729499781, 0.601981941401637, 0.262971284540144, 0.654079098476782, 0.689214503140008, 0.748151592823709, 0.450541598502498, 0.0838213779969326, 0.228976968716819, 0.91333736150167, 0.152378018969223, 0.825816977489547, 0.538342435260057, 0.996134716626885, 0.0781755287531837, 0.442678269775446, 0.106652770180584, 0.961898080855054, 0.00463422413406744, 0.774910464711502, 0.817303220653433, 0.86869470536351, 0.0844358455109103, 0.399782649098896, 0.259870402850654, 0.800068480224308, 0.431413827463545, 0.910647594429523, 0.181847028302852, 0.26380291652199, 0.145538980384717, 0.136068558708664, 0.869292207640089, 0.57970458736557, 0.549860201836332, 0.144954798223727, 0.853031117721894, 0.622055131485066, 0.350952380892271, 0.513249539867053, 0.401808033751942, 0.0759666916908419, 0.239916153553658, 0.123318934835166, 0.183907788282417, 0.239952525664903, 0.41726706908437, 0.0496544303257421, 0.902716109915281, 0.944787189721646, 0.49086409246808, 0.489252638400019, 0.337719409821377, 0.900053846417662, 0.369246781120215, 0.111202755293787, 0.780252068321138, 0.389738836961253, 0.241691285913833, 0.403912145588115, 0.0964545251683886, 0.131973292606335, 0.942050590775485, 0.956134540229802, 0.575208595078466, 0.0597795429471558, 0.234779913372406, 0.353158571222071, 0.821194040197959, 0.0154034376515551, 0.0430238016578078, 0.168990029462704, 0.649115474956452, 0.73172238565867, 0.647745963136307, 0.450923706430945, 0.547008892286345, 0.296320805607773, 0.744692807074156, 0.188955015032545, 0.686775433365315, 0.18351115573727, 0.368484596490336, 0.62561856072969, 0.780227435151377, 0.0811257688657853, 0.92938597096873, 0.775712678608402, 0.486791632403172, 0.435858588580919, 0.446783749429806, 0.306349472016557, 0.508508655381127, 0.51077156417211, 0.817627708322262, 0.794831416883453, 0.644318130193692, 0.378609382660268, 0.811580458282477, 0.532825588799455, 0.350727103576883, 0.939001561999887, 0.875942811492984, 0.550156342898422, 0.622475086001227, 0.587044704531417, 0.207742292733028, 0.301246330279491, 0.470923348517591, 0.230488160211558, 0.844308792695389, 0.194764289567049, 0.225921780972399, 0.170708047147859, 0.227664297816554, 0.435698684103899, 0.311102286650413, 0.923379642103244, 0.430207391329584, 0.184816320124136, 0.904880968679893, 0.979748378356085, 0.438869973126103, 0.111119223440599, 0.258064695912067, 0.408719846112552, 0.594896074008614, 0.262211747780845, 0.602843089382083, 0.711215780433683, 0.22174673401724, 0.117417650855806, 0.296675873218327, 0.318778301925882, 0.424166759713807, 0.507858284661118, 0.085515797090044, 0.262482234698333, 0.801014622769739, 0.0292202775621463, 0.928854139478045, 0.730330862855453, 0.488608973803579, 0.578525061023439, 0.237283579771521, 0.458848828179931, 0.963088539286913, 0.546805718738968, 0.521135830804001, 0.231594386708524, 0.488897743920167, 0.62406008817369, 0.679135540865748, 0.395515215668593, 0.367436648544477, 0.987982003161633, 0.0377388662395521, 0.885168008202475, 0.913286827639239, 0.796183873585212, 0.0987122786555743, 0.261871183870716, 0.335356839962797, 0.679727951377338, 0.13655313735537, 0.72122749858174, 0.106761861607241, 0.65375734866856, 0.49417393663927, 0.779051723231275, 0.715037078400694, 0.903720560556316, 0.890922504330789, 0.334163052737496, 0.698745832334794, 0.197809826685929, 0.0305409463046367, 0.744074260367462, 0.500022435590201, 0.47992214114606, 0.904722238067363, 0.609866648422558, 0.617666389588455, 0.859442305646212, 0.805489424529686, 0.576721515614685, 0.182922469414914, 0.239932010568717, 0.886511933076101, 0.0286741524641061, 0.489901388512224, 0.167927145682257, 0.978680649641159, 0.712694471678914, 0.500471624154843, 0.471088374541939, 0.0596188675796392, 0.681971904149063, 0.0424311375007417, 0.0714454646006424, 0.521649842464284, 0.096730025780867, 0.818148553859625, 0.817547092079286, 0.722439592366842, 0.149865442477967, 0.659605252908307, 0.518594942510538, 0.972974554763863, 0.648991492712356, 0.800330575352401, 0.453797708726919, 0.432391503783462, 0.825313795402046, 0.083469814858914, 0.133171007607162, 0.173388613119006, 0.390937802323736, 0.83137974283907, 0.80336439160244, 0.0604711791698936, 0.399257770613576, 0.526875830508296, 0.416799467930787, 0.656859890973707, 0.627973359190104, 0.291984079961715, 0.43165117024872, 0.015487125636019, 0.984063724379154, 0.167168409914656, 0.106216344928664, 0.372409740055537, 0.198118402542975, 0.489687638016024, 0.339493413390758, 0.951630464777727, 0.920332039836564, 0.0526769976807926, 0.737858095516997, 0.269119426398556, 0.422835615008808, 0.547870901214845, 0.942736984276934, 0.417744104316662, 0.983052466469856, 0.301454948712065, 0.701098755900926, 0.666338851584426, 0.539126465042857, 0.698105520180308, 0.666527913402587, 0.178132454400338, 0.128014399720173, 0.999080394761361, 0.171121066356432, 0.032600820530528, 0.56119979270966, 0.88186650045181, 0.669175304534394, 0.190433267179954, 0.368916546063895, 0.460725937260412, 0.98163795097075, 0.156404952226563, 0.855522805845911, 0.644764536870088, 0.376272210278832, 0.190923695236303, 0.428252992979386, 0.482022061031856, 0.120611613297162, 0.589507484695059, 0.226187679752676, 0.384619124369411, 0.582986382747674, 0.251806122472313, 0.290440664276979, 0.617090884393223, 0.265280909810029, 0.824376266688835, 0.98266339972195, 0.730248792267598, 0.343877004114983, 0.584069333278452, 0.107769015243743, 0.906308150649733, 0.879653724481905, 0.817760559370642, 0.260727999055465, 0.594356250664331, 0.0225125927402318, 0.425259320214135, 0.312718886820616, 0.16148474431175, 0.178766186752368, 0.422885689100085, 0.0942293388877347, 0.598523668756741, 0.470924256358334, 0.695949313301608, 0.699887849928292, 0.638530758271838, 0.0336038360664295, 0.0688060991180512, 0.319599735180496, 0.530864280694127, 0.654445707757066, 0.407619197041153, 0.819981222781941, 0.718358943205884, 0.968649330231094, 0.531333906565674, 0.32514568182056, 0.105629203329022, 0.610958658746201, 0.778802241824093, 0.423452918962738, 0.0908232857874395, 0.266471490779072, 0.153656717591307, 0.281005302533871, 0.440085139001721, 0.527142741760652, 0.457424365687674, 0.875371598604185, 0.518052108361104, 0.943622624548388, 0.637709098072174, 0.957693939841583, 0.24070703548016, 0.676122303863752, 0.289064571674477, 0.671808165414215, 0.695140499551737, 0.0679927684700106, 0.254790156597005, 0.224040030824219, 0.667832727013717, 0.844392156527205, 0.344462411301042, 0.780519652731358, 0.675332065747, 0.00671531431847749, 0.602170487581795, 0.386771194520985, 0.915991244131425, 0.00115105712910724, 0.462449159242329, 0.424349039815375, 0.460916366028964, 0.770159728608609, 0.322471807186779, 0.784739294760742, 0.471357153710612, 0.0357627332691179, 0.175874415683531, 0.721758033391102, 0.47348599296532, 0.152721200438232, 0.341124607049109, 0.607389213768347, 0.191745255461798, 0.738426839976942, 0.242849598318169, 0.917424342049382, 0.269061586686018, 0.765500016621438, 0.188661976791491, 0.287498173066131, 0.0911134636865349, 0.576209380663007, 0.683363243294653, 0.546593114590323, 0.425728841871188, 0.644442781431336, 0.647617630172684, 0.679016754093202, 0.635786710514084, 0.945174113109401, 0.208934922426023, 0.709281702710545, 0.236230576993797, 0.119396247797306, 0.607303940685635, 0.450137696965896, 0.458725493648868, 0.661944751905652, 0.77028551480366, 0.350218013441105, 0.662009598359135, 0.416158589969796, 0.841929152691309, 0.832916819075216, 0.256440992229147, 0.613460736812875, 0.582249164527227, 0.54073933712441, 0.869941032358007, 0.26477902647563, 0.318074075481059, 0.119214541054191, 0.939829470344921, 0.645551874972524, 0.479463224948888, 0.639316961040108, 0.544716110526763, 0.647311480293128, 0.543885933999639, 0.721046620579811, 0.522495305777102, 0.993704624120852, 0.218676632399634, 0.105798273250228, 0.109697464523194, 0.0635913709751057, 0.404579995857626, 0.448372912066495, 0.365816176838171, 0.763504640848813, 0.627896379614169, 0.771980385554245, 0.93285357027882, 0.972740854003014, 0.192028349427775, 0.138874202829155, 0.696266337082995, 0.0938200267748656, 0.525404403859336, 0.530344218392863, 0.861139811393332, 0.484853333552102, 0.393456361215266, 0.671431139674026, 0.741257943454206, 0.520052467390387, 0.347712671277525, 0.149997253831683, 0.586092067231462, 0.262145317727807, 0.0444540922782385, 0.754933267231179, 0.242785357820962, 0.442402313001943, 0.687796085120107, 0.359228210401861, 0.736340074301202, 0.394707475278763, 0.683415866967978, 0.704047430334266, 0.442305413383371, 0.0195776235533187, 0.330857880214071, 0.424309496833137, 0.270270423432065, 0.197053798095456, 0.82172118496131, 0.429921409383266, 0.887770954256354, 0.391182995461163, 0.769114387388296, 0.396791517013617, 0.808514095887345, 0.755077099007084, 0.377395544835103, 0.216018915961394, 0.790407217966913, 0.949303911849797, 0.327565434075205, 0.67126437045174, 0.438644982586956, 0.833500595588975, 0.768854252429615, 0.167253545494722, 0.861980478702072, 0.989872153631504, 0.514423456505704, 0.884281023126955, 0.588026055308497, 0.154752348656045, 0.199862822857452, 0.406954837138907, 0.748705718215691, 0.825583815786156, 0.789963029944531, 0.318524245398992, 0.534064127370726, 0.089950678770581, 0.111705744193203, 0.136292548938299, 0.678652304800188, 0.495177019089661, 0.18971040601758, 0.495005824990221, 0.147608221976689, 0.0549741469061882, 0.850712674289007, 0.560559527354885, 0.929608866756663, 0.696667200555228, 0.58279096517584, 0.815397211477421, 0.879013904597178, 0.988911616079589, 0.000522375356944771, 0.865438591013025, 0.612566469483999, 0.989950205708831, 0.527680069338442, 0.479523385210219, 0.801347605521952, 0.227842935706042, 0.49809429119639, 0.900852488532005, 0.574661219130188, 0.845178185054037, 0.738640291995402, 0.585987035826476, 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0.981805703472202, 0.358108399458237, 0.115318408331771, 0.260124943167344, 0.995279833529812, 0.837499321725222, 0.750067727239643, 0.764551235231723, 0.975703249931249, 0.883578855145905, 0.640913644757537, 0.904587339505662, 0.810720654445894, 0.606039067197211, 0.857351842467162, 0.156899350931274, 0.323412834299391, 0.506473330585984, 0.393267637172327, 0.280706603454583, 0.888469848496961, 0.305931525115947, 0.827062884425789, 0.183115094482735, 0.851052390822192, 0.296070973712287, 0.0311654946032668, 0.370988524492556, 0.385176146649839, 0.856519478911259, 0.922538973616711, 0.256756247895122, 0.578292714785851, 0.327274680810468, 0.474590334289429, 0.74309371856119, 0.670820867625192, 0.0638907077548951, 0.901822086633396, 0.720924830693746, 0.443294727569869, 0.172351475073116, 0.415939869995554, 0.000715548317527626, 0.546541412298883, 0.564302836009085, 0.0650672211791405, 0.38669377306048, 0.50496490332552, 0.86857274268002, 0.748512601183002, 0.745714045254549, 0.8479373075143, 0.237099525107628, 0.337529562273883, 0.964130933918967, 0.143513409540289, 0.103534133848662, 0.908645908280158, 0.115186033859867, 0.744369309377401, 0.724664694576168, 0.12222063882862, 0.984905877254281, 0.208144306904609, 0.24974367298058, 0.486239628358987, 0.292744018798444, 0.716498673821078, 0.574191996709191, 0.71102525861162, 0.100811693552636, 0.31387604307437, 0.92828747304973, 0.892930254694621, 0.598705361456502, 0.4966466994201, 0.825701742049605, 0.81578107914187, 0.14120287153134, 0.604663858435241, 0.790571390123187, 0.748585664767025, 0.00982236072546616, 0.193401719156516, 0.384792839964191, 0.438757209224073, 0.892295834016662, 0.930285661397258, 0.602364650801703, 0.728975800795655, 0.894364927082967, 0.361839180211903, 0.203689130268915, 0.530281080664476, 0.92720320120777, 0.209948828518869, 0.982018434403266, 0.416363845353053, 0.268663446255055, 0.730739264353682, 0.534110028726556, 0.375113415580673, 0.382405999357521, 0.217159465390273, 0.845147382112809, 0.071739493080019, 0.3625193954232, 0.109586863933308, 0.913580509167226, 0.0405085123627152, 0.227929387166302, 0.351237721633424, 0.890982608386968, 0.483962302945169, 0.209413394448571, 0.318153214072262, 0.899285735385992, 0.00698699378511347, 0.17388603991545, 0.767738873239282, 0.175570807603494, 0.507339792110628, 0.293802360292034, 0.873250401444983, 0.823484306189087, 0.998822035155532, 0.374543086830501, 0.508094513107832, 0.748498589366762, 0.39991514651251, 0.931655153576901, 0.427685926765233, 0.0422192947160035, 0.157553040529377, 0.361351717681785, 0.0588538918369136, 0.84336036456866, 0.889983755622639, 0.0588942471833853, 0.202492541136726, 0.0873696666108087, 0.573072916480887, 0.43699023283442, 0.0888124173215159, 0.775723198136281, 0.733927379031315, 0.145227386857227, 0.615828514724771, 0.798206778933779, 0.820231043902685, 0.368625331951348, 0.809936891925674, 0.060680020423148, 0.0907508274678313, 0.805585641902073, 0.546980919566268, 0.895124242734885, 0.186858761589189, 0.832460573908841, 0.0626397734212979, 0.600029557848887, 0.0600721266080804, 0.233532910627902, 0.219706353145267, 0.259250380460217, 0.599285161743039, 0.694915398370391, 0.922127964308747, 0.655575466925251, 0.633643357559537, 0.40179813929328, 0.357841996705088, 0.453987599494908, 0.838933580444433, 0.390013418605796, 0.889675973309932, 0.811448379649953, 0.822251657461199, 0.864895217749837, 0.33874464732438, 0.0632638852819618, 0.266862545953493, 0.0925699514987907, 0.67130999140951, 0.944915448571485, 0.656308816159899, 0.416360101765498, 0.241606360052552, 0.350991432832415, 0.699740414476989, 0.488717014809074, 0.820372499255613, 0.329963318321199, 0.0940674616885745, 0.831761747601365, 0.426677551738374, 0.256949691340334, 0.605892642557118, 0.577125304829104, 0.961446714134265, 0.0633784441506314, 0.719434069219439, 0.902009465824431, 0.195184184542984, 0.897667932373422, 0.821605771707393, 0.665945381323852, 0.656676024099073, 0.53554177982516, 0.148039406542768, 0.615372649538667, 0.373914880657112, 0.438732996175382, 0.599164947022138, 0.877968834495135, 0.115913419416761, 0.985739540883822, 0.857254469293949, 0.441606147265157, 0.831619780151143, 0.292644842379715, 0.510935901808601, 0.75123716604151, 0.380326632265418, 0.266266942314067, 0.26260392121776, 0.582624380387433, 0.44312053108434, 0.446478632441557, 0.978698027425513, 0.79136094554561, 0.211472445653468, 0.948570817980897, 0.0585511461756274, 0.0239480487550577, 0.208484420420066, 0.294285371021574, 0.366028343025171, 0.85006418311479, 0.941759228807027, 0.0637994243281149, 0.409576227270505, 0.947448788352265, 0.222860614992551, 0.0475658698086285, 0.00722300874743897, 0.219968027004846, 0.673440894019482, 0.131854989652384, 0.704347394731617, 0.384885483429272, 0.362163503410741, 0.962599013218848, 0.0875689210675951, 0.255660876251761, 0.412617762743869, 0.703928253296993, 0.74797848497825, 0.0374367222841506, 0.781343841536334, 0.316967910740484, 0.414421711994423, 0.0879032229549459, 0.349375779722459, 0.12942356100625, 0.304327202838602, 0.946217354716618, 0.770128099543164, 0.82130728753809, 0.11478253101169, 0.203310651903552, 0.592598263314838, 0.0106912757564572, 0.27181317658423, 0.660901376287224, 0.200749943817415, 0.6857224493742, 0.107285913105537, 0.446994972411219, 0.127039953137372, 0.519774582833318, 0.256774164943503, 0.159930772426874, 0.421714971604656, 0.558692031556859, 0.300660109775817, 0.735579040615798, 0.340174651164455, 0.0446923134250257, 0.408185331322768, 0.32218135106595, 0.358314252710203, 0.0542195484063197 };
double problem_vector_data[] = { 0.168879971344252, 0.745166604030062, 0.477134351507709, 0.653444541099485, 0.966575933053896, 0.313027488227721, 0.0764394578120781, 0.791415146963651, 0.365383979290258, 0.585099389225412, 0.183336706183362, 0.0769189422460057, 0.153662766530705, 0.826875990170966, 0.300956742633309, 0.383884490005655, 0.650748947230908, 0.817370524039485, 0.766266219369973, 0.374175557582085, 0.18986247780247, 0.646501755218381, 0.00360530450734453, 0.282887905349612, 0.638600594751137, 0.592074579603645, 0.325289204685754, 0.988951251221728, 0.123235846277873, 0.73587698636635, 0.156617020109506, 0.434647411424697, 0.832243218102738, 0.359909561454824, 0.0762380475474331, 0.556925545740794, 0.273930224222276, 0.13205467930969, 0.699654848968811, 0.485904907517832, 0.182716250813704, 0.101214538189656, 0.201584327245249, 0.13474601073799, 0.323789153997764, 0.950545048096336, 0.532130560615834, 0.24768570993469, 0.437276253172887, 0.669087783169736, 0.547695710952879, 0.609054494316718, 0.863134760252027, 0.380695949821835, 0.748955615477151, 0.156696797557896, 0.0581238178949717, 0.339706962070075, 0.817176415224338, 0.377547669768167, 0.972604932176721, 0.605318590650978, 0.338236165549055, 0.927983722291575, 0.898424694301282, 0.850706460713442, 0.256791917068097, 0.285495500891502, 0.779946910428948, 0.701395228244418, 0.492511776265171, 0.967667748479233, 0.476161494330651, 0.994905517152424, 0.490578621847789, 0.503453396492993, 0.768772875919031, 0.388084482070887, 0.453259259537158, 0.132853968150371, 0.758506328245576, 0.56523693408585, 0.648636599114185, 0.798058063124077, 0.220448242881705, 0.857890771063757, 0.904728919137344, 0.29201988504298, 0.725869758147902, 0.339445804371305, 0.272681226854142, 0.170274589896562, 0.664018225811431, 0.535851657583605, 0.829109418219232, 0.26736208064657, 0.176155780622799, 0.431186366407187, 0.475655037798496, 0.78522090790695 };
double inequality_constraint_vector_data[] = { 1.252928412204, -1.25147139522053, -0.0824761930753967, 0.131336920725672, 0.420950869682912, 1.44300974811023, 1.047174283506, -0.987304116732754, -0.960288626601099, 1.02221051237135, 0.628662270317025, 0.180160276648956, -0.0441304226145965, 0.592770298774949, -0.467291664235938, 2.14997656423022, -0.0438514763820471, -0.0318399277570167, -0.371524367943901, 0.233495594251812, 0.142262857051161, -0.906012692241345, 0.930680391371775, -0.679548688419307, -0.885054989996388, 0.472821797926402, -0.470574474018815, -0.293260272276593, -1.45780533927725, -0.637806417267604, 0.62448248404038, -0.221872047882692, -0.0491718424212241, -0.999886526470525, -1.68555279122428, -0.834138631464721, -0.53694049737483, -0.438519283190944, 1.06258559132559, -0.302294123317399, 1.29763192116671, 1.51610297662712, 0.148565090958743, -0.53086162266333, 0.107475853457677, -0.421000348291611, -0.225211526136277, 0.71290934883175, 0.778703231131448, 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-0.170028782987589, -2.04049090047598, -0.527051600063072, -0.20597178276059, -1.51310156781713, -1.90527610009854, 0.751622000655511, 0.38767285722701, -0.782775420572307, -1.70242431307364, 1.07711560629106, 0.959586761686633, -0.597041409719408, -0.0719811615343258, 0.48076773869679, -0.260799673956048, 0.159828019312723, 1.87624202150408, -0.00370271435426153, 1.26311967946653, 0.904984108933125, -0.749300285989674, 1.26372444539365, -0.614774492162787, 0.441163974588469, -0.0297946834036647, -0.356444277257048, 1.1271863519862, 0.508790271452601, -0.15788022549061, 0.845072541390849, 0.639190912808983, 0.739136547804015, 0.00274368931479601, -1.8568965934688, 0.350106183006019, 1.17377683150027, -0.448486546809128, -0.628679515874492, -0.0974178684256868, 0.524311724551763, 0.338867183774623, -0.418156490556024, 1.52261319582141, -1.32444882132573, -1.3906417378574, 2.48762432453425, 0.343792666564358, 1.05106471460986, -0.849052630824456, -0.152043242485238, 1.75056647060533, -0.0779942926905294, -0.522082400789671, 0.062981830871717, -2.2227545469037, 0.898260198917533, -0.569020370694908, -1.00564110769562, -0.488240472130906, -0.324495316856492, -0.695323926049477, -2.00672858542293, -0.805373674520454, -0.0720252112570498, -0.977598275616295, -0.577288126559509, -0.346292878031393, 0.149849412946617, 0.0720276445630019, -0.613611436092609, -1.18209482753559, -1.2308484277203, 0.389896262474429, -0.477893718467461, 0.605879114509728, 0.540679016153091, 0.933670043027275, 0.625574317134019, -0.293320195411722, 0.0634401030481035, 0.292503944236043, -0.0854239970978128, -1.00681184244266, -0.47065363733607, 1.80721498146898, -0.4326427012483, -1.16256240410332, 0.130223527365399, -0.386369509952482, 1.60065297773492, 0.591273376749004, 0.491505313295882, -0.647570852929537, 0.992770927195342, -0.790452750807849, 1.22723883358347, -2.20138782545931, 1.48751069681045, -0.703724126450506, -0.184618630003257, -0.143768351922331, 0.311851530254381, 0.291563145008077, 1.61750294741629, -0.0822444970920521, 0.252172248624306, 0.561619941897011, 0.261244685382425, -0.244456807279551, 0.600111363059314, -0.924359041258171, -0.385429049136948, 0.506631500142572, 0.0302905919757953, 0.642185465899772, -0.507129028351255, -0.822027373452498, 0.0330438720017641, -0.206170957517299, -1.44826543255999, -0.0281932850259887, -0.0785708326113705, -1.54588999156833, -2.08379590183473, -0.525883491994684, 1.6303773186893, 0.422367036362029, 2.00055178609009, -0.98517369554286, 0.079900279255275, -1.1228663416537, 1.70361526176809, -1.21846299649439, 0.177846852323407, 0.486342812339919, -1.05433416850518, 1.16192113378031, -0.662995679441098, -1.32468718297024, 0.120637921776227, -0.223401220887076, 0.045062947267608, -0.468342807663716, 1.09375366381878, 0.0764612951616215, 0.606234635847042, -1.46821367784706, 1.16804970386968, -0.545031471131559, 1.2254904158197, -1.0837327635999, 0.107920209866619, -2.46875068880758, -0.628729248802342, 0.780516250885651, 0.262101825993813, 1.15721552573564, 0.479408498483621, -1.2423514838703, 0.430176119115143, -0.0421242111871756, 1.80064460025449, 0.529771471385742, 0.98547462910855, 0.488327510492237, -0.443086765983, 0.71707187631599, 0.792181187243773, 0.933261782406432, -0.232294234159124, -1.42227357911124, 0.636814537459286, -0.520587068325067, 1.22319299868122, -0.49643606582539, 1.39752374677927, 1.78979005837436, -1.00097170655804, 0.565648363778986, 0.989216878601791, 0.340109855342457, -0.924325043255378, -1.3363390293427, 1.22564671102823, 0.371191271151444, -1.57898493764431, -1.12456780781909, 1.02336977822904 };
double equality_constraint_vector_data[] = { 0.748507645380094, 0.0797376003902225, 0.292543038806435, 0.416568365953175, 0.69978170374644, 0.229094331408131, 0.79898259841103, 0.760793310432207, 0.340752818464625, 0.23103188813534 };
// solutions obtained using Matlab's quadprog():
double solution_data[] = { -1.54947234325176, 0.259545183049741, 0.0374022489950132, 0.77750547958476, -1.25801450662183, -1.88154867343434, 1.70994092666898, 0.625506965990297, 0.931598738873324, -1.19672348208534, -0.288791641313397, 0.522679073901326, 0.441398936352697, 0.122831357359872, 0.429275688092712, 0.0176644499002628, 0.339830789050105, 0.0293209657947787, -0.158787798388674, -0.796153721818046, 2.4967728949651, -1.63762997687845, 1.18080718917784, -1.05738069340969, 0.0585476233545824, 0.141682784117771, 1.2767931989414, 1.33402395090252, -0.348082019097237, -0.215560588105247, 0.0316207413277165, 0.572094599141034, -0.290435979472242, 0.188297485451063, 0.578593102676131, 0.259308649374783, 0.399062481995456, 0.410063542023687, -0.0657370575432304, -1.26854315037399, -0.893961712559284, 0.445506586037936, -0.866067527224422, -0.421977537544534, 0.113013912336643, 0.0582328718205902, 0.612082712005026, 0.428693628945845, 1.16944645740358, 1.65533762500153 };
double solution_no_eq_data[] = { 0.100557011294565, 0.0774609022426853, 0.0511825083173843, -0.166122333116954, 0.577774848029813, 0.167095709499533, -0.140736741762911, 1.05265237884383, 0.12834718765109, 0.365896008127372, 0.111271087791453, 0.0153667809055645, -0.246807732095477, -0.139250571454491, 0.236124574799001, 0.440706860263127, 0.0267377677542438, -0.0526273190040818, -0.127163568297604, 0.00891028293537102, -0.311643286712343, 0.43226631819491, -0.27330761421088, -0.162801497991826, -0.392143423452724, -0.178441846341096, 0.363246926285958, 0.720077504204944, 0.25824605726061, 0.111663453363391, 0.814763535049907, -0.0339642537053691, -0.090647615150187, -0.316651142501127, 0.426403561316129, 0.0209427776415292, 0.175058502358357, 0.235111094823552, 0.0365209820095678, -0.40125271484762, -0.12199466629301, 0.43519716876162, -0.482182232688658, 0.163890165749847, 0.123599044673034, -0.0856983578508494, -0.507111670952678, -0.586611374955362, 0.145341396041547, 0.0243483540569064 };
double solution_zero_data[] = { -0.0909876170384021, 0.0905047474180401, 0.0912146643146082, -0.00500809444016724, -0.125019239792976, -0.112066412721407, 0.0554789408971033, -0.0833658981061983, -0.0238835978767787, -0.105887031589131, 0.0526796937321079, 0.201284689770002, 0.0721764896728619, -0.0379460881753516, 0.0977677810157743, -0.180028575525486, 0.0417179726682485, 0.0931166766325753, 0.00202015958293831, 0.0567422530340581, 0.257207216814311, -0.396613444192145, 0.029171931261875, 0.00366949227676262, 0.102678584640742, 0.0306280784954446, 0.113229368658903, 0.037969242714925, -0.052488725145084, -0.0598411959324047, -0.0563573428596585, 0.0887038150156723, 0.0657076180846572, -0.00960314758180444, 0.113054183104475, 0.0858754522332255, -0.0199266124840442, 0.0975342988386541, -0.0351693406381735, 0.0705218609687235, -0.212481180391147, 0.0566695604659621, -0.0632125543048537, -0.115779248671975, -0.0521777434064297, 0.207261330706659, 0.0500968164510367, 0.0858132816924573, 0.177238850106903, 0.0818369263626538 };
double solution_no_eq_zero_data[] = { -0.00837671700845143, -0.0367253309698206, 0.0104643387030714, 0.0147362006591086, 0.0632112096198801, 0.117805099714431, -0.129446802361635, 0.122637558342626, -0.0601966399354118, 0.087670298742532, -0.00856905269483837, 0.0838674363561341, 0.0262661237496275, -0.0490305030097515, 0.12607905876157, -0.204143795330225, -0.0388869575566157, 0.04199106670216, 0.0827599184173558, 0.0682556268630987, 0.144471387029796, -0.0433512874225062, -0.014567864260988, 0.0440705100077805, -0.00139469146236212, 0.150205929743892, 0.165068704142435, 0.155155878157374, -0.0531636996018179, 0.0240351922956988, 0.0809643514211241, 0.0450743994143347, 0.061090621394066, -0.00945927149864192, -0.0335777005208452, -0.0168225055197412, -0.273859161216313, 0.00821215362299372, -0.0296222639219962, 0.214658905224127, 0.0240887321065743, -0.097566176239216, 0.172403189514966, 0.0101764577015725, -0.0283474768894243, 0.188454428558924, 0.0209083311843356, -0.0866098351808266, -0.0835625666816506, -0.104878298319644 };
void run ()
{
matrix_type problem_matrix = Eigen::Map<matrix_type> (problem_matrix_data, num_sig, num_coef);
matrix_type inequality_constraint_matrix = Eigen::Map<matrix_type> (inequality_constraint_matrix_data, num_ineq, num_coef);
matrix_type equality_constraint_matrix = Eigen::Map<matrix_type> (equality_constraint_matrix_data, num_eq, num_coef);
vector_type problem_vector = Eigen::Map<vector_type> (problem_vector_data, num_sig);
vector_type inequality_constraint_vector = Eigen::Map<vector_type> (inequality_constraint_vector_data, num_ineq);
vector_type equality_constraint_vector = Eigen::Map<vector_type> (equality_constraint_vector_data, num_eq);
vector_type solution = Eigen::Map<vector_type> (solution_data, num_coef);
vector_type solution_no_eq = Eigen::Map<vector_type> (solution_no_eq_data, num_coef);
vector_type solution_zero = Eigen::Map<vector_type> (solution_zero_data, num_coef);
vector_type solution_no_eq_zero = Eigen::Map<vector_type> (solution_no_eq_zero_data, num_coef);
{
vector_type x;
Math::ICLS::Problem<double> problem (problem_matrix, inequality_constraint_matrix, equality_constraint_matrix, inequality_constraint_vector, equality_constraint_vector);
Math::ICLS::Solver<double> solve (problem);
solve (x, problem_vector);
if (!x.isApprox (solution, 1.0e-6))
throw Exception ("ICLS solver test failed at test 1");
}
{
vector_type x;
Math::ICLS::Problem<double> problem (problem_matrix, inequality_constraint_matrix, equality_constraint_matrix);
Math::ICLS::Solver<double> solve (problem);
solve (x, problem_vector);
if (!x.isApprox (solution_zero, 1.0e-6))
throw Exception ("ICLS solver test failed at test 2");
}
{
vector_type x;
Math::ICLS::Problem<double> problem (problem_matrix, inequality_constraint_matrix, inequality_constraint_vector);
Math::ICLS::Solver<double> solve (problem);
solve (x, problem_vector);
if (!x.isApprox (solution_no_eq, 1.0e-6))
throw Exception ("ICLS solver test failed at test 3");
}
{
vector_type x;
Math::ICLS::Problem<double> problem (problem_matrix, inequality_constraint_matrix);
Math::ICLS::Solver<double> solve (problem);
solve (x, problem_vector);
if (!x.isApprox (solution_no_eq_zero, 1.0e-6))
throw Exception ("ICLS solver test failed at test 4");
}
matrix_type constraint_matrix (inequality_constraint_matrix.rows()+equality_constraint_matrix.rows(), inequality_constraint_matrix.cols());
constraint_matrix.topRows (inequality_constraint_matrix.rows()) = inequality_constraint_matrix;
constraint_matrix.bottomRows (equality_constraint_matrix.rows()) = equality_constraint_matrix;
vector_type constraint_vector (inequality_constraint_vector.rows()+equality_constraint_vector.rows());
constraint_vector.head (inequality_constraint_vector.rows()) = inequality_constraint_vector;
constraint_vector.tail (equality_constraint_vector.rows()) = equality_constraint_vector;
{
vector_type x;
Math::ICLS::Problem<double> problem (problem_matrix, constraint_matrix, constraint_vector, equality_constraint_vector.size());
Math::ICLS::Solver<double> solve (problem);
solve (x, problem_vector);
if (!x.isApprox (solution, 1.0e-6))
throw Exception ("ICLS solver test failed at test 4");
}
CONSOLE ("All tests passed OK");
}
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