mod utils;

#[test]
fn lsolve_1(){
    let l = vec![
        vec![1.0000,  0.,      0.,       0.,       0.,       0.,       0.,       0.,       0.,       0.],
        vec![0.4044,  1.0000,  0.,       0.,       0.,       0.,       0.,       0.,       0.,       0.],
        vec![0.3465,  0.0122,  1.0000,   0.,       0.,       0.,       0.,       0.,       0.,       0.],
        vec![0.7592, -0.3591, -0.1154,   1.0000,   0.,       0.,       0.,       0.,       0.,       0.],
        vec![0.6868,  0.1135,  0.2113,   0.6470,   1.0000,   0.,       0.,       0.,       0.,       0.],
        vec![0.7304, -0.1453,  0.1755,   0.0585,  -0.7586,   1.0000,   0.,       0.,       0.,       0.],
        vec![0.8362,  0.0732,  0.7601,  -0.1107,   0.1175,  -0.5406,   1.0000,   0.,       0.,       0.],
        vec![0.0390,  0.8993,  0.3428,   0.1639,   0.4246,  -0.5861,   0.7790,   1.0000,   0.,       0.],
        vec![0.8079, -0.4437,  0.8271,   0.2583,  -0.2238,   0.0544,   0.2360,  -0.7387,   1.0000,   0.],
        vec![0.1360,  0.9532, -0.1212,  -0.1943,   0.4311,   0.1069,   0.3717,   0.7176,  -0.6053,   1.0000]
    ];
    let mut l_sparse = rsparse::data::Sprs::new();
    l_sparse.from_vec(&l);

    let mut b = vec![
        0.8568,
        0.3219,
        0.9263,
        0.4635,
        0.8348,
        0.1339,
        0.8444,
        0.7000,
        0.7947,
        0.5552
    ];

    let x = vec![
         0.856803,
        -0.024615,
         0.629721,
        -0.123138,
         0.195778,
        -0.450195,
        -0.628933,
         0.636038,
         0.289215,
         0.430638
    ];

    rsparse::lsolve(&l_sparse, &mut b);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn ltsolve_1(){
    let l = vec![
        vec![1.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000],
        vec![0.3376, 1.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000],
        vec![0.8260, 0.2762, 1.0000, 0.0000, 0.0000, 0.0000, 0.0000],
        vec![0.5710, 0.1764, 0.5430, 1.0000, 0.0000, 0.0000, 0.0000],
        vec![0.9194, 0.3583, 0.6850, 0.6594, 1.0000, 0.0000, 0.0000],
        vec![0.2448, 0.5015, -0.2830, 0.2239, 0.4723, 1.0000, 0.0000],
        vec![0.2423, 0.2332, -0.8355, 0.7522, -0.3700, 0.1985, 1.0000]
    ];
    let mut l_sparse = rsparse::data::Sprs::new();
    l_sparse.from_vec(&l);

    let mut b = vec![
        0.444841,
        0.528773,
        0.988345,
        0.097749,
        0.996166,
        0.068040,
        0.844511
    ];

    let x = vec![ // l'\b
        -1.326867,
        -0.270323,
         1.502297,
        -1.409055,
         1.355645,
        -0.099585,
         0.844511
    ];

    rsparse::ltsolve(&l_sparse, &mut b);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn usolve_1(){
    let u =vec![    
        vec![0.7824, 0.4055, 0.0827, 0.9534, 0.9713, 0.1418, 0.0781],
        vec![0.0, 0.7766, 0.2981, 0.2307, -0.3172, 0.6819, 0.5979],
        vec![0.0, 0.0, 0.2986, -0.5576, 0.5928, -0.2759, -0.1672],
        vec![0.0, 0.0, 0.0, 0.6393, -0.4245, 0.1277, 0.5842],
        vec![0.0, 0.0, 0.0, 0.0, -1.277, 1.1435, 1.0631],
        vec![0.0, 0.0, 0.0, 0.0, 0.0, 1.2096, 0.7268],
        vec![0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.4574]
    ];
    let mut u_sparse = rsparse::data::Sprs::new();
    u_sparse.from_vec(&u);

    let mut b = vec![
        0.189772,
        0.055761,
        0.030676,
        0.181620,
        0.526924,
        0.744179,
        0.078005
    ];

    let x = vec![ // u\b
        -0.047146,
        -0.941265,
         1.158658,
         0.355142,
         0.088052,
         0.717684,
        -0.170555
    ];

    rsparse::usolve(&u_sparse, &mut b);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn utsolve_1(){
    let u =vec![    
        vec![0.9842, 0.1720, 0.9948, 0.2766, 0.4560, 0.1462, 0.8124],
        vec![0.0000, 0.6894, 0.1043, 0.4486, 0.5217, 0.7157, 0.4132],
        vec![0.0000, 0.0000, -0.5500, -0.2340, 0.0822, 0.2176, -0.1996],
        vec![0.0000, 0.0000, 0.0000, 0.6554, -0.1564, -0.0287, 0.2107],
        vec![0.0000, 0.0000, 0.0000, 0.0000, -0.4127, -0.4652, -0.6993],
        vec![0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.6881, 0.3037],
        vec![0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -0.7740]
    ];
    let mut u_sparse = rsparse::data::Sprs::new();
    u_sparse.from_vec(&u);

    let mut b = vec![
        0.444841,
        0.528773,
        0.988345,
        0.097749,
        0.996166,
        0.068040,
        0.844511
    ];

    let x = vec![ // u'\b
         0.4520,
         0.6542,
        -0.8554,
        -0.7947,
        -0.9565,
        -1.0870,
         0.1745
    ];

    rsparse::utsolve(&u_sparse, &mut b);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn lusol_1(){
    let l = vec![
        vec![1.0000,  0.,      0.,       0.,       0.,       0.,       0.,       0.,       0.,       0.],
        vec![0.4044,  1.0000,  0.,       0.,       0.,       0.,       0.,       0.,       0.,       0.],
        vec![0.3465,  0.0122,  1.0000,   0.,       0.,       0.,       0.,       0.,       0.,       0.],
        vec![0.7592, -0.3591, -0.1154,   1.0000,   0.,       0.,       0.,       0.,       0.,       0.],
        vec![0.6868,  0.1135,  0.2113,   0.6470,   1.0000,   0.,       0.,       0.,       0.,       0.],
        vec![0.7304, -0.1453,  0.1755,   0.0585,  -0.7586,   1.0000,   0.,       0.,       0.,       0.],
        vec![0.8362,  0.0732,  0.7601,  -0.1107,   0.1175,  -0.5406,   1.0000,   0.,       0.,       0.],
        vec![0.0390,  0.8993,  0.3428,   0.1639,   0.4246,  -0.5861,   0.7790,   1.0000,   0.,       0.],
        vec![0.8079, -0.4437,  0.8271,   0.2583,  -0.2238,   0.0544,   0.2360,  -0.7387,   1.0000,   0.],
        vec![0.1360,  0.9532, -0.1212,  -0.1943,   0.4311,   0.1069,   0.3717,   0.7176,  -0.6053,   1.0000]
    ];
    let mut l_sparse = rsparse::data::Sprs::new();
    l_sparse.from_vec(&l);

    let mut b = vec![
        0.8568,
        0.3219,
        0.9263,
        0.4635,
        0.8348,
        0.1339,
        0.8444,
        0.7000,
        0.7947,
        0.5552
    ];

    let x = vec![
         0.856803,
        -0.024615,
         0.629721,
        -0.123138,
         0.195778,
        -0.450195,
        -0.628933,
         0.636038,
         0.289215,
         0.430638
    ];

    rsparse::lusol(&l_sparse, &mut b, 1, 1e-12);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn lusol_2(){
    let l = vec![
        vec![8.2541e-01, 9.5622e-01, 4.6698e-01, 8.4410e-03, 6.3193e-01, 7.5741e-01, 5.3584e-01, 3.9448e-01],
        vec![7.4808e-01, 2.0403e-01, 9.4649e-01, 2.5086e-01, 2.6931e-01, 5.5866e-01, 3.1827e-01, 2.9819e-02],
        vec![6.3980e-01, 9.1615e-01, 8.5515e-01, 9.5323e-01, 7.8323e-01, 8.6003e-01, 7.5761e-01, 8.9255e-01],
        vec![1.8726e-01, 8.9339e-01, 9.9796e-01, 5.0506e-01, 6.1439e-01, 4.3617e-01, 7.3369e-01, 1.5565e-01],
        vec![2.8015e-02, 6.3404e-01, 8.4771e-01, 8.6419e-01, 2.7555e-01, 3.5909e-01, 7.6644e-01, 8.9905e-02],
        vec![9.1817e-01, 8.6629e-01, 5.9917e-01, 1.9346e-01, 2.1960e-01, 1.8676e-01, 8.7020e-01, 2.7891e-01],
        vec![3.1999e-01, 5.9988e-01, 8.7402e-01, 5.5710e-01, 2.4707e-01, 7.5652e-01, 8.3682e-01, 6.3145e-01],
        vec![9.3807e-01, 7.5985e-02, 7.8758e-01, 3.6881e-01, 4.4553e-01, 5.5005e-02, 3.3908e-01, 3.4573e-01],
    ];
    let mut l_sparse = rsparse::data::Sprs::new();
    l_sparse.from_vec(&l);

    let mut b = vec![
        0.4377,
        0.7328,
        0.1227,
        0.1817,
        0.2634,
        0.6876,
        0.8711,
        0.4201
    ];

    let x = vec![
         0.264678,
        -1.228118,
        -0.035452,
        -0.676711,
        -0.066194,
         0.761495,
         1.852384,
        -0.282992
    ];

    rsparse::lusol(&l_sparse, &mut b, 1, 1e-12);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn lusol_3(){
    let mut l_sparse = rsparse::data::Sprs::new();
    l_sparse.load("./tests/assets/lusol_3.sprs").unwrap();    

    let mut b = vec![
        0.46,
        0.94,
        0.98,
        0.52,
        0.68,
        0.17,
        0.61,
        0.63,
        0.01,
        0.07,
        0.21,
        0.03,
        0.23,
        0.24,
        0.60,
        0.30,
        0.14,
        0.14,
        0.16,
        0.17,
        0.65,
        0.35,
        0.04,
        0.05,
        0.17,
        0.64,
        0.21,
        0.94,
        0.70,
        0.82,
        0.67,
        0.57,
        0.55,
        0.81,
        0.57,
        0.97,
        0.16,
        0.17,
        0.86,
        0.33
    ];

    let x = vec![
        -5.04,
        3.46,
        0.74,
       -2.85,
       -0.62,
       -0.41,
       11.22,
        2.47,
       -2.10,
       -0.66,
       -1.46,
       -1.42,
        0.05,
        2.24,
        2.02,
        0.60,
       -2.44,
       -3.32,
        6.12,
        0.31,
        2.22,
       -2.03,
        3.00,
       -5.70,
       -2.08,
       -0.29,
       -1.35,
        5.38,
        6.15,
       -6.76,
       -6.93,
        5.08,
        2.50,
       -0.81,
       -1.61,
        0.17,
        3.83,
        1.53,
       -6.12,
       -4.36
    ];

    rsparse::lusol(&l_sparse, &mut b, 1, 1e-12);

    utils::assert_eq_f_vec(&b, &x, 0.5);
}

#[test]
fn lusol_4(){
    let mut l_sparse = rsparse::data::Sprs::new();
    l_sparse.load("./tests/assets/lusol_4.sprs").unwrap();

    let mut b = vec![
        0.46,
        0.94,
        0.98,
        0.52,
        0.,
        0.,
        0.,
        0.63,
        0.01,
        0.07,
        0.21,
        0.03,
        0.23,
        0.24,
        0.60,
        0.30,
        0.14,
        0.14,
        0.16,
        0.,
        0.65,
        0.35,
        0.,
        0.05,
        0.17,
        0.64,
        0.21,
        0.,
        0.70,
        0.82,
        0.67,
        0.,
        0.55,
        0.81,
        0.57,
        0.97,
        0.16,
        0.17,
        0.86,
        0.33
    ];

    let x = vec![
         1.04228694607481e+00,
        -2.01330432842648e-01,
         2.48358736068515e-01,
        -2.18287093350602e-01,
        -3.30313296828709e-01,
        -5.49389662727890e-02,
        -2.65125015068261e-01,
        -2.62277443294546e-01,
         3.47570270694807e-01,
         1.31088471416788e-01,
        -2.40891969677044e-01,
         1.69559251078739e-01,
        -3.76973336898865e-01,
        -1.10020001985365e-01,
        -4.25851647947819e-01,
        -2.01943433154875e-01,
        -1.15592009210552e-01,
         2.93753497747058e-01,
        -5.28050353600802e-02,
        -7.28920777666091e-02,
         1.43133338788097e-01,
        -3.17309962224149e-02,
        -6.00180834707570e-01,
         4.22945965675000e-01,
         2.52839174553258e-01,
         1.34004025261230e-01,
        -7.79593599091869e-02,
         3.48392440471156e-01,
        -6.74273756376818e-01,
        -2.06243799623668e-01,
         5.28195769608138e-01,
        -5.58961937449690e-01,
         1.99671476910831e-01,
         4.89967014621509e-03,
         3.75542172273640e-01,
        -2.56917202277906e-01,
        -7.17272664233846e-01,
         1.50020030094798e-01,
         2.94129431673680e-01,
        -3.18911724815574e-02
    ];

    rsparse::lusol(&l_sparse, &mut b, 1, 1e-12);

    utils::assert_eq_f_vec(&b, &x, 1e-5);
}

#[test]
fn lusol_5(){
    let u =vec![    
        vec![0.7824, 0.4055, 0.0827, 0.9534, 0.9713, 0.1418, 0.0781],
        vec![0.0, 0.7766, 0.2981, 0.2307, -0.3172, 0.6819, 0.5979],
        vec![0.0, 0.0, 0.2986, -0.5576, 0.5928, -0.2759, -0.1672],
        vec![0.0, 0.0, 0.0, 0.6393, -0.4245, 0.1277, 0.5842],
        vec![0.0, 0.0, 0.0, 0.0, -1.277, 1.1435, 1.0631],
        vec![0.0, 0.0, 0.0, 0.0, 0.0, 1.2096, 0.7268],
        vec![0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.4574]
    ];
    let mut u_sparse = rsparse::data::Sprs::new();
    u_sparse.from_vec(&u);

    let mut b = vec![
        0.189772,
        0.055761,
        0.030676,
        0.181620,
        0.526924,
        0.744179,
        0.078005
    ];

    let x = vec![ // u\b
        -0.047146,
        -0.941265,
         1.158658,
         0.355142,
         0.088052,
         0.717684,
        -0.170555
    ];

    rsparse::lusol(&u_sparse, &mut b, 1, 1e-12);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn lusol_6(){
    let mut u_sparse = rsparse::data::Sprs::new();
    u_sparse.load("./tests/assets/lusol_6.sprs").unwrap();

    let mut b = vec![
        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    ];

    rsparse::lusol(&u_sparse, &mut b, 1, 1e-12);

    utils::assert_eq_f_vec(&b, &x, 1e-5);
}

#[test]
fn cholsol_1(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/cholsol_1.sprs").unwrap();

    let mut b = vec![
        0.8578,
        0.8620,
        0.3133,
        0.3270,
        0.8400,
        0.4925,
        0.0519,
        0.7780,
        0.4267,
        0.2800
    ];

    let x = vec![
        0.0842,
        0.0832,
        0.0274,
        0.0322,
        0.0812,
        0.0457,
        0.0008,
        0.0748,
        0.0396,
        0.0280
    ];
    
    assert_ne!(&b, &x);

    rsparse::cholsol(&c_sparse, &mut b, 0);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn cholsol_2(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/cholsol_2.sprs").unwrap();

    let mut b = vec![
        0.0224609067927705,0.348657487984297,0.154572062664153,0.0654698193335180,0.478371075931435,0.275058477421512,0.438295192808647,0.632410294561209,0.291278639612656,0.538322481281142,0.676801462186668,0.407609342484187,0.156551883358199,0.703458751899724,0.659673508279873,0.328321534338258,0.946282134063984,0.249649130172050,0.0529993977779343,0.233845956499994,0.911863180564575,0.714565564197449,0.0955452410960785,0.460150761156764,0.255764474824935,0.886450069157312,0.880630765720495,0.677291227835484,0.487967097075892,0.279755022847207,0.906860265101301,0.948217009068063,0.882728899242485,0.689430689440576,0.131082099633207,0.230017726070571,0.547890332317139,0.374624834570432,0.0528303359261439,0.146400939435968,0.470938240329993,0.369827515818551,0.0942821165525803,0.514741894425870,0.824587929761333,0.0632687701629571,0.307905644783163,0.255490086511280,0.350904018037647,0.848743086902143
    ];

    let x = vec![
        0.000395974301533698,0.00697314975968594,0.00295866170534872,0.00129019051840014,0.00956742151862870,0.00550116954843025,0.00875111383227234,0.0126215175183100,0.00582557279225313,0.0106701302806976,0.0135360292437334,0.00806942415593825,0.00313103766716398,0.0140691750379945,0.0131763091591848,0.00656643068676515,0.0188989241260368,0.00499298260344100,0.000895162814071638,0.00467691912999989,0.0182372636112915,0.0142913112839490,0.00191090482192157,0.00909417756911673,0.00502669871443208,0.0176645376986590,0.0176036416121988,0.0134512061303163,0.00971910765961434,0.00559510045694414,0.0181162594504563,0.0189481203445549,0.0176483536404288,0.0137886137888115,0.00252249924818197,0.00451372059961738,0.0108635747188819,0.00749249669140863,0.00105660671852288,0.00282707070000808,0.00941613323496408,0.00737934847193597,0.00188339174933863,0.0102115538694966,0.0164142202205710,0.00126537540325914,0.00615811289566326,0.00501005367755733,0.00701808036075294,0.0169736196228915
    ];

    assert_ne!(&b, &x);

    rsparse::cholsol(&c_sparse, &mut b, 0);

    utils::assert_eq_f_vec(&b, &x, 1e-6);
}

#[test]
fn cholsol_3(){
    let c = vec![vec![5.0, 0.0, 0.0, 0.0, 0.0],vec![0.0, 5.0, 0.0, 0.0, 0.017856],vec![0.0, 0.0, 5.0, 0.0, 0.0],vec![0.0, 0.0, 0.0, 5.0, 0.479746],vec![0.0, 0.017856, 0.0, 0.479746, 5.0]];
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.from_vec(&c);

    let mut b = vec![
        0.2543,
        0.8143,
        0.2435,
        0.9293,
        0.3500
    ];

    let x = vec![
        0.0509,
        0.1627,
        0.0487,
        0.1809,
        0.0521
    ];

    assert_ne!(&b, &x);

    rsparse::cholsol(&c_sparse, &mut b, 0);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn cholsol_4(){
    let c = vec![vec![5.196595, 0.540956, 0.686622, 0.263619, 0.460242],vec![0.540956, 5.585264, 0.651726, 0.723996, 0.377615],vec![0.686622, 0.651726, 5.380446, 0.673494, 0.043878],vec![0.263619, 0.723996, 0.673494, 5.934011, 0.233514],vec![0.460242, 0.377615, 0.043878, 0.233514, 5.162182]];
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.from_vec(&c);

    let mut b = vec![
        0.2543,
        0.8143,
        0.2435,
        0.9293,
        0.3500
    ];

    let x = vec![
        0.0236,
        0.1211,
        0.0099,
        0.1377,
        0.0505
    ];

    assert_ne!(&b, &x);

    rsparse::cholsol(&c_sparse, &mut b, 0);
    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn cholsol_5(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/cholsol_5.sprs").unwrap();

    let mut b = vec![
        0.548180369491319,0.761658674673550,0.151479748766356,0.915525118149335,0.736302868468856,0.908631860198080,0.608880809390977,0.625592041703643,0.357687859076594,0.885553440903971,0.263908791336976,0.104616866297271,0.324805588520260,0.525289990999559,0.180992615259307,0.540998396479210,0.293100388044246,0.964987551357191,0.351069274077105,0.433298408270891,0.845059950376853,0.340332160061358,0.651618845267137,0.527396723755802,0.0674691535490961,0.302564019971667,0.493999480160137,0.668417396823365,0.996312444589801,0.635410869272874,0.771094111009475,0.258546483555189,0.198884290297785,0.238630482734875,0.519193991544229,0.618687803810945,0.0998819131311881,0.406239896612799,0.971186368595116,0.650546831177922,0.782912146605053,0.0799824411672707,0.480561157269421,0.0665199208382391,0.434643187061550,0.546133203470996,0.857275610704813,0.392213310441527,0.829373049445708,0.258576308638939,0.0506619853386520,0.913977254535826,0.708696964169579,0.683631508977777,0.760255776712617,0.0308315495019781,0.620133742232672,0.516744137010833,0.570985478078560,0.579934694437069,0.209967186569125,0.827015342727021,0.318357479950786,0.442515203624037,0.183902320700275,0.264318455428335,0.0733385009476212,0.749524691239792,0.390930856949118,0.623286005814952,0.146135237186804,0.372181309536023,0.147603559372303,0.355929313685290,0.482084709592516,0.566358784088194,0.569844315837003,0.801289565093734,0.817235176547022,0.506060747084829,0.503100666421165,0.706115812653271,0.536434254482887,0.906600067864615,0.949071701579944,0.598677818665063,0.726439084013089,0.427282835979911,0.00869710592320649,0.530961615183720,0.214766479950175,0.183301523967309,0.953546299240681,0.744441195024240,0.245402566464423,0.106104806372863,0.999216953007538,0.663763141826553,0.469558945958392,0.0674116562450613
    ];

    let x = vec![
        0.00532235896556878,0.00750361811305088,0.00138030228570307,0.00896561583618135,0.00725568375070474,0.00902754614954895,0.00591620598379262,0.00615988154335779,0.00347806729474826,0.00875910817401526,0.00251519638897670,0.000920183861176454,0.00316442112124399,0.00515445676331993,0.00171912561379383,0.00532677903843703,0.00289739081318083,0.00959172473127758,0.00335821393994547,0.00426302560166214,0.00840888867211414,0.00337435763287213,0.00642859790748386,0.00515982572974233,0.000516096986981614,0.00296473173822463,0.00484109021870877,0.00659885467049058,0.00979382351481069,0.00626462588613821,0.00768114746098168,0.00242366616031685,0.00179630458989801,0.00230307791874839,0.00500158212210453,0.00601442653360423,0.000868616824824543,0.00393194113229162,0.00961091500405443,0.00630002284234537,0.00762384521941836,0.000670171480658169,0.00467002498268258,0.000556041478857936,0.00423901296789271,0.00537819155024165,0.00844442425294823,0.00374292353941750,0.00815443359866412,0.00250812811648233,0.000432579693801563,0.00897867681214612,0.00703271949854504,0.00672001692818200,0.00747295768189262,0.000207824121019624,0.00604263471770527,0.00502611723874773,0.00553885679098500,0.00570149083240747,0.00182107816890489,0.00811505826638552,0.00306600030259397,0.00435578435525834,0.00173191281207745,0.00243922294644899,0.000697515712187538,0.00746038108346815,0.00382934067878441,0.00612352180176998,0.00130622679496697,0.00364356271705914,0.00132270924280142,0.00350298435085311,0.00473917164416070,0.00555374498510381,0.00561054061785073,0.00782157887745749,0.00803769831060211,0.00485800840387803,0.00495618640262283,0.00695852624512898,0.00521357108488945,0.00887782725275702,0.00938216128154010,0.00585419059113215,0.00719506454317056,0.00423470403624308,-4.29122053620407e-05,0.00525136336010986,0.00204485438411551,0.00170381752270668,0.00935307786741624,0.00734705981788114,0.00233121085252639,0.000954737351317629,0.00987773780979906,0.00646826022435386,0.00459888822555187,0.000521092091942596
    ];

    assert_ne!(&b, &x);

    rsparse::cholsol(&c_sparse, &mut b, 0);

    utils::assert_eq_f_vec(&b, &x, 1e-6);
}

#[test]
#[should_panic]
fn cholsol_6(){
    let c = vec![
        vec![1.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000],
        vec![-0.3376, 2.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000],
        vec![0.8260, 0.2762, 3.0000, 0.0000, 0.0000, 0.0000, 0.0000],
        vec![0.5710, 0.1764, 0.5430, -4.0000, 0.0000, 0.0000, 0.0000],
        vec![0.9194, 0.3583, 0.6850, 0.6594, 5.0000, 0.0000, 0.0000],
        vec![0.2448, 0.5015, -0.2830, 0.2239, 0.4723, 6.0000, 0.0000],
        vec![0.2423, 0.2332, -0.8355, 0.7522, -0.3700, 0.1985, 7.0000]
    ]; // non def. pos. (Should crash)
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.from_vec(&c);

    let mut b = vec![
        0.2543,
        0.8143,
        0.2435,
        0.9293,
        0.3456,
        0.5017,
        0.3500
    ];

    // Should panic now
    rsparse::cholsol(&c_sparse, &mut b, 0);
}

#[test]
fn cholsol_7(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/cholsol_7.sprs").unwrap();

    let mut b = vec![
        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    ];
    let b_static = b.clone();

    rsparse::cholsol(&c_sparse, &mut b, 0);
    
    utils::assert_eq_f_vec(&rsparse::gaxpy(&c_sparse, &b, &vec![0.; b.len()]), &b_static, 1e-1); // Close but not right (c_sparse is not symmetric)
}

#[test]
fn qrsol_1(){
    let c = vec![vec![5.196595, 0.540956, 0.686622, 0.263619, 0.460242],vec![0.540956, 5.585264, 0.651726, 0.723996, 0.377615],vec![0.686622, 0.651726, 5.380446, 0.673494, 0.043878],vec![0.263619, 0.723996, 0.673494, 5.934011, 0.233514],vec![0.460242, 0.377615, 0.043878, 1.233514, 5.162182]]; // non def. pos.
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.from_vec(&c);

    let mut b = vec![
        0.2543,
        0.8143,
        0.2435,
        0.9293,
        0.3500
    ];

    let x = vec![
        0.0236,
        0.1211,
        0.0099,
        0.1377,
        0.0505
    ];

    rsparse::qrsol(&c_sparse, &mut b, 2);

    utils::assert_eq_f_vec(&b, &x, 1e-1);
}

#[test]
fn qrsol_2(){
    let c = vec![
        vec![8.2541e-01, 9.5622e-01, 4.6698e-01, 8.4410e-03, 6.3193e-01, 7.5741e-01, 5.3584e-01, 3.9448e-01],
        vec![7.4808e-01, 2.0403e-01, 9.4649e-01, 2.5086e-01, 2.6931e-01, 5.5866e-01, 3.1827e-01, 2.9819e-02],
        vec![6.3980e-01, 9.1615e-01, 8.5515e-01, 9.5323e-01, 7.8323e-01, 8.6003e-01, 7.5761e-01, 8.9255e-01],
        vec![1.8726e-01, 8.9339e-01, 9.9796e-01, 5.0506e-01, 6.1439e-01, 4.3617e-01, 7.3369e-01, 1.5565e-01],
        vec![2.8015e-02, 6.3404e-01, 8.4771e-01, 8.6419e-01, 2.7555e-01, 3.5909e-01, 7.6644e-01, 8.9905e-02],
        vec![9.1817e-01, 8.6629e-01, 5.9917e-01, 1.9346e-01, 2.1960e-01, 1.8676e-01, 8.7020e-01, 2.7891e-01],
        vec![3.1999e-01, 5.9988e-01, 8.7402e-01, 5.5710e-01, 2.4707e-01, 7.5652e-01, 8.3682e-01, 6.3145e-01],
        vec![9.3807e-01, 7.5985e-02, 7.8758e-01, 3.6881e-01, 4.4553e-01, 5.5005e-02, 3.3908e-01, 3.4573e-01],
    ];
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.from_vec(&c);

    let mut b = vec![
        0.4377,
        0.7328,
        0.1227,
        0.1817,
        0.2634,
        0.6876,
        0.8711,
        0.4201
    ];

    let x = vec![
         0.264678,
        -1.228118,
        -0.035452,
        -0.676711,
        -0.066194,
         0.761495,
         1.852384,
        -0.282992
    ];

    rsparse::qrsol(&c_sparse, &mut b, 2);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn qrsol_3(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/qrsol_3.sprs").unwrap();

    let mut b = vec![
        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    ];

    rsparse::qrsol(&c_sparse, &mut b, 2);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn qrsol_4(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/qrsol_4.sprs").unwrap();

    let mut b = vec![
        0.548180369491319,0.761658674673550,0.151479748766356,0.915525118149335,0.736302868468856,0.908631860198080,0.608880809390977,0.625592041703643,0.357687859076594,0.885553440903971,0.263908791336976,0.104616866297271,0.324805588520260,0.525289990999559,0.180992615259307,0.540998396479210,0.293100388044246,0.964987551357191,0.351069274077105,0.433298408270891,0.845059950376853,0.340332160061358,0.651618845267137,0.527396723755802,0.0674691535490961,0.302564019971667,0.493999480160137,0.668417396823365,0.996312444589801,0.635410869272874,0.771094111009475,0.258546483555189,0.198884290297785,0.238630482734875,0.519193991544229,0.618687803810945,0.0998819131311881,0.406239896612799,0.971186368595116,0.650546831177922,0.782912146605053,0.0799824411672707,0.480561157269421,0.0665199208382391,0.434643187061550,0.546133203470996,0.857275610704813,0.392213310441527,0.829373049445708,0.258576308638939,0.0506619853386520,0.913977254535826,0.708696964169579,0.683631508977777,0.760255776712617,0.0308315495019781,0.620133742232672,0.516744137010833,0.570985478078560,0.579934694437069,0.209967186569125,0.827015342727021,0.318357479950786,0.442515203624037,0.183902320700275,0.264318455428335,0.0733385009476212,0.749524691239792,0.390930856949118,0.623286005814952,0.146135237186804,0.372181309536023,0.147603559372303,0.355929313685290,0.482084709592516,0.566358784088194,0.569844315837003,0.801289565093734,0.817235176547022,0.506060747084829,0.503100666421165,0.706115812653271,0.536434254482887,0.906600067864615,0.949071701579944,0.598677818665063,0.726439084013089,0.427282835979911,0.00869710592320649,0.530961615183720,0.214766479950175,0.183301523967309,0.953546299240681,0.744441195024240,0.245402566464423,0.106104806372863,0.999216953007538,0.663763141826553,0.469558945958392,0.0674116562450613
    ];

    let x = vec![
        0.00532235896556878,0.00750361811305088,0.00138030228570307,0.00896561583618135,0.00725568375070474,0.00902754614954895,0.00591620598379262,0.00615988154335779,0.00347806729474826,0.00875910817401526,0.00251519638897670,0.000920183861176454,0.00316442112124399,0.00515445676331993,0.00171912561379383,0.00532677903843703,0.00289739081318083,0.00959172473127758,0.00335821393994547,0.00426302560166214,0.00840888867211414,0.00337435763287213,0.00642859790748386,0.00515982572974233,0.000516096986981614,0.00296473173822463,0.00484109021870877,0.00659885467049058,0.00979382351481069,0.00626462588613821,0.00768114746098168,0.00242366616031685,0.00179630458989801,0.00230307791874839,0.00500158212210453,0.00601442653360423,0.000868616824824543,0.00393194113229162,0.00961091500405443,0.00630002284234537,0.00762384521941836,0.000670171480658169,0.00467002498268258,0.000556041478857936,0.00423901296789271,0.00537819155024165,0.00844442425294823,0.00374292353941750,0.00815443359866412,0.00250812811648233,0.000432579693801563,0.00897867681214612,0.00703271949854504,0.00672001692818200,0.00747295768189262,0.000207824121019624,0.00604263471770527,0.00502611723874773,0.00553885679098500,0.00570149083240747,0.00182107816890489,0.00811505826638552,0.00306600030259397,0.00435578435525834,0.00173191281207745,0.00243922294644899,0.000697515712187538,0.00746038108346815,0.00382934067878441,0.00612352180176998,0.00130622679496697,0.00364356271705914,0.00132270924280142,0.00350298435085311,0.00473917164416070,0.00555374498510381,0.00561054061785073,0.00782157887745749,0.00803769831060211,0.00485800840387803,0.00495618640262283,0.00695852624512898,0.00521357108488945,0.00887782725275702,0.00938216128154010,0.00585419059113215,0.00719506454317056,0.00423470403624308,-4.29122053620407e-05,0.00525136336010986,0.00204485438411551,0.00170381752270668,0.00935307786741624,0.00734705981788114,0.00233121085252639,0.000954737351317629,0.00987773780979906,0.00646826022435386,0.00459888822555187,0.000521092091942596
    ];

    rsparse::qrsol(&c_sparse, &mut b, 2);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn qrsol_5(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/qrsol_5.sprs").unwrap();

    let mut b = vec![
        0.0224609067927705,0.348657487984297,0.154572062664153,0.0654698193335180,0.478371075931435,0.275058477421512,0.438295192808647,0.632410294561209,0.291278639612656,0.538322481281142,0.676801462186668,0.407609342484187,0.156551883358199,0.703458751899724,0.659673508279873,0.328321534338258,0.946282134063984,0.249649130172050,0.0529993977779343,0.233845956499994,0.911863180564575,0.714565564197449,0.0955452410960785,0.460150761156764,0.255764474824935,0.886450069157312,0.880630765720495,0.677291227835484,0.487967097075892,0.279755022847207,0.906860265101301,0.948217009068063,0.882728899242485,0.689430689440576,0.131082099633207,0.230017726070571,0.547890332317139,0.374624834570432,0.0528303359261439,0.146400939435968,0.470938240329993,0.369827515818551,0.0942821165525803,0.514741894425870,0.824587929761333,0.0632687701629571,0.307905644783163,0.255490086511280,0.350904018037647,0.848743086902143
    ];

    let x = vec![
        0.000395974301533698,0.00697314975968594,0.00295866170534872,0.00129019051840014,0.00956742151862870,0.00550116954843025,0.00875111383227234,0.0126215175183100,0.00582557279225313,0.0106701302806976,0.0135360292437334,0.00806942415593825,0.00313103766716398,0.0140691750379945,0.0131763091591848,0.00656643068676515,0.0188989241260368,0.00499298260344100,0.000895162814071638,0.00467691912999989,0.0182372636112915,0.0142913112839490,0.00191090482192157,0.00909417756911673,0.00502669871443208,0.0176645376986590,0.0176036416121988,0.0134512061303163,0.00971910765961434,0.00559510045694414,0.0181162594504563,0.0189481203445549,0.0176483536404288,0.0137886137888115,0.00252249924818197,0.00451372059961738,0.0108635747188819,0.00749249669140863,0.00105660671852288,0.00282707070000808,0.00941613323496408,0.00737934847193597,0.00188339174933863,0.0102115538694966,0.0164142202205710,0.00126537540325914,0.00615811289566326,0.00501005367755733,0.00701808036075294,0.0169736196228915
    ];

    rsparse::qrsol(&c_sparse, &mut b, 2);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn qrsol_6(){
    let c = vec![    
        vec![0.7824, 0.4055, 0.0827, 0.9534, 0.9713, 0.1418, 0.0781],
        vec![0.0, 0.7766, 0.2981, 0.2307, -0.3172, 0.6819, 0.5979],
        vec![0.0, 0.0, 0.2986, -0.5576, 0.5928, -0.2759, -0.1672],
        vec![0.0, 0.0, 0.0, 0.6393, -0.4245, 0.1277, 0.5842],
        vec![0.0, 0.0, 0.0, 0.0, -1.277, 1.1435, 1.0631],
        vec![0.0, 0.0, 0.0, 0.0, 0.0, 1.2096, 0.7268],
        vec![0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.4574]
    ];
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.from_vec(&c);

    let mut b = vec![
        0.189772,
        0.055761,
        0.030676,
        0.181620,
        0.526924,
        0.744179,
        0.078005
    ];

    let x = vec![ // u\b
        -0.047146,
        -0.941265,
         1.158658,
         0.355142,
         0.088052,
         0.717684,
        -0.170555
    ];

    rsparse::qrsol(&c_sparse, &mut b, 2);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
}

#[test]
fn qrsol_7(){
    let c = vec![ // rectangular matrix 10x11
        vec![0.450542, 0.106653, 0.431414, 0.853031, 0.417267, 0.780252, 0.234780, 0.547009, 0.929386, 0.644318, 0.207742],vec![0.083821, 0.961898, 0.910648, 0.622055, 0.049654, 0.389739, 0.353159, 0.296321, 0.775713, 0.378609, 0.301246],vec![0.228977, 0.004634, 0.181847, 0.350952, 0.902716, 0.241691, 0.821194, 0.744693, 0.486792, 0.811580, 0.470923],vec![0.913337, 0.774910, 0.263803, 0.513250, 0.944787, 0.403912, 0.015403, 0.188955, 0.435859, 0.532826, 0.230488],vec![0.152378, 0.817303, 0.145539, 0.401808, 0.490864, 0.096455, 0.043024, 0.686775, 0.446784, 0.350727, 0.844309],vec![0.825817, 0.868695, 0.136069, 0.075967, 0.489253, 0.131973, 0.168990, 0.183511, 0.306349, 0.939002, 0.194764],vec![0.538342, 0.084436, 0.869292, 0.239916, 0.337719, 0.942051, 0.649115, 0.368485, 0.508509, 0.875943, 0.225922],vec![0.996135, 0.399783, 0.579705, 0.123319, 0.900054, 0.956135, 0.731722, 0.625619, 0.510772, 0.550156, 0.170708],vec![0.078176, 0.259870, 0.549860, 0.183908, 0.369247, 0.575209, 0.647746, 0.780227, 0.817628, 0.622475, 0.227664],vec![0.442678, 0.800068, 0.144955, 0.239953, 0.111203, 0.059780, 0.450924, 0.081126, 0.794831, 0.587045, 0.435699]
    ];
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.from_vec(&c);

    let mut b = vec![
        0.311102286650413,
        0.923379642103244,
        0.430207391329584,
        0.184816320124136,
        0.904880968679893,
        0.979748378356085,
        0.438869973126103,
        0.111119223440599,
        0.258064695912067,
        0.408719846112552,
        0.0
    ];

    let b_static = b.clone();

    let x = vec![ // u\b
        0.484069,
        0.724483,
        0.084246,
        1.189250,
        -1.311303,
        -0.469507,
        0.431584,
        1.334674,
        -1.539025,
        0.771571,
        -0.095160
    ];

    rsparse::qrsol(&c_sparse, &mut b, 2);

    utils::assert_eq_f_vec(&b, &x, 1e-3);
    utils::assert_eq_f_vec(&rsparse::gaxpy(&c_sparse, &b, &vec![0.; b.len()]), &b_static, 1e-6);
}

#[test]
fn qrsol_8(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/qrsol_8.sprs").unwrap();

    let mut b = vec![
        0.629593620184956,0.555283881393721,0.0284695468916921,0.929082456692334,0.886763698439380,0.0307437010312681,0.339623862267383,0.965234792653560,0.955558599295718,0.725398055605218,0.320862653224890,0.927275125885398,0.463240067033957,0.206983788451845,0.0434813422749232,0.335256197624515,0.463045070536939,0.775571191764120,0.754396252988503,0.510688823171063,0.0773126927225034,0.382763917644887,0.744918357215414,0.235202745032079,0.102668722805182,0.554770526950822,0.892512583397243,0.327348343049625,0.655129873177891,0.438717837029212,0.815369689041111,0.879904809813281,0.902944316324997,0.992169092440863,0.236534137734076,0.733224975683417,0.245898594555210,0.833324289248853,0.506608866844210,0.158781289929428,0.880205043891622,0.969733772350398,0.527316208723450,0.162309318527072,0.521373985517450,0.600955828369952,0.0843854425864996,0.997505386734435,0.143964761997930,0.758927910979478,0.956648154601369,0.0733673239582912,0.0403124633496629,0.239195923712871,0.620704657205543,0.380517419450572,0.780860481183689,0.635100166867814,0.460537265067563,0.998354299584003,0.841255449673854,0.640385293172769,0.440665231881555,0.0990821950591477,0.217308925121340,0.00334359721284983,0.843751215115500,0.767046828805834,0.808304571274097,0.192426695652089,0.754670413608305,0.687251051633142,0.581546803483332,0.661348875982681,0.735277590128812,0.266261650406089,0.443365876304435,0.517068907147578,0.401742953646499,0.978376071819462,0.968383757787798,0.230451757358841,0.140558917724755,0.873237469727496,0.208932940685384,0.505932850609586,0.528357282073634,0.362057274274766,0.720594424027622,0.207772330724780,0.994659150190163,0.972431413305596,0.645795965862413,0.270093389829784,0.938305914108039,0.919799390708461,0.688025417755130,0.307259527996179,0.0669260105434422,0.204862182343220,0.689074493139152,0.622884822776939,0.102389728873458,0.340152376896377,0.430398862441564,0.00145700306418073,0.927705487711505,0.510895630829351,0.812178828110695,0.228229532345126,0.935235070021721,0.925880296637607,0.245525126971146,0.153284518043707,0.318100679388725,0.292907896716219,0.383489798091672,0.102304237498155,0.385222774336965,0.467896974184114,0.305548369496493,0.469587391955364,0.853467434160727,0.770579768476712,0.645703615194900,0.288777735371626,0.436455055513841,0.725860024203601,0.620240504623170,0.522113161553255,0.0477934303455525,0.960729892129252,0.578734510249215,0.958993844191301,0.410984431887991,0.00866318793111209,0.664596518243363,0.572018559973648,0.205071899702260,0.204155315277874,0.0524842884129402,0.955607738253028,0.142713709599393,0.0807779285017127,0.343374878707472,0.406740137444400,0.450828703539503,0.474727487003630,0.741418500850852,0.0373986122046132,0.232338724316103,0.204472559909857,0.120371881684712,0.135507783193726,0.648545722301243,0.275721325948385,0.784041508047124,0.252026380417200,0.607975660694216,0.124542819916470,0.0626524456987835,0.188253454039773,0.793513937375865,0.557089424462216,0.860651370784595,0.463567860757518,0.482208562694870,0.00518740725455080,0.432812238147797,0.507913190833733,0.310297777085083,0.608906773763500,0.823465949704693,0.837314798701980,0.802352678984444,0.592934815838408,0.0896572316084057,0.0290220233897121,0.187127664276471,0.239693647488146,0.940856961754510,0.139880310814547,0.106084597937678,0.304939851486604,0.887739221545761,0.597063925057081,0.277871048209883,0.865917742683035,0.730091443063275,0.527743454955125,0.629399222550254,0.522453625211464,0.329828033544366,0.0809377688174476,0.0533805046883120,0.978955540705015,0.717794232489094,0.449220662470914,0.385906609416111,0.239589656760664, 0.0
    ];

    let b_static = b.clone();

    rsparse::qrsol(&c_sparse, &mut b, 2);

    utils::assert_eq_f_vec(&rsparse::gaxpy(&c_sparse, &b, &vec![0.; b.len()]), &b_static, 1e-6);
}

#[test]
fn qrsol_9(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/qrsol_9.sprs").unwrap();

    let mut b = vec![
        0.629593620184956,0.555283881393721,0.0284695468916921,0.929082456692334,0.886763698439380,0.0307437010312681,0.339623862267383,0.965234792653560,0.955558599295718,0.725398055605218,0.320862653224890,0.927275125885398,0.463240067033957,0.206983788451845,0.0434813422749232,0.335256197624515,0.463045070536939,0.775571191764120,0.754396252988503,0.510688823171063,0.0773126927225034,0.382763917644887,0.744918357215414,0.235202745032079,0.102668722805182,0.554770526950822,0.892512583397243,0.327348343049625,0.655129873177891,0.438717837029212,0.815369689041111,0.879904809813281,0.902944316324997,0.992169092440863,0.236534137734076,0.733224975683417,0.245898594555210,0.833324289248853,0.506608866844210,0.158781289929428,0.880205043891622,0.969733772350398,0.527316208723450,0.162309318527072,0.521373985517450,0.600955828369952,0.0843854425864996,0.997505386734435,0.143964761997930,0.758927910979478,0.956648154601369,0.0733673239582912,0.0403124633496629,0.239195923712871,0.620704657205543,0.380517419450572,0.780860481183689,0.635100166867814,0.460537265067563,0.998354299584003,0.841255449673854,0.640385293172769,0.440665231881555,0.0990821950591477,0.217308925121340,0.00334359721284983,0.843751215115500,0.767046828805834,0.808304571274097,0.192426695652089,0.754670413608305,0.687251051633142,0.581546803483332,0.661348875982681,0.735277590128812,0.266261650406089,0.443365876304435,0.517068907147578,0.401742953646499,0.978376071819462,0.968383757787798,0.230451757358841,0.140558917724755,0.873237469727496,0.208932940685384,0.505932850609586,0.528357282073634,0.362057274274766,0.720594424027622,0.207772330724780,0.994659150190163,0.972431413305596,0.645795965862413,0.270093389829784,0.938305914108039,0.919799390708461,0.688025417755130,0.307259527996179,0.0669260105434422,0.204862182343220,0.689074493139152,0.622884822776939,0.102389728873458,0.340152376896377,0.430398862441564,0.00145700306418073,0.927705487711505,0.510895630829351,0.812178828110695,0.228229532345126,0.935235070021721,0.925880296637607,0.245525126971146,0.153284518043707,0.318100679388725,0.292907896716219,0.383489798091672,0.102304237498155,0.385222774336965,0.467896974184114,0.305548369496493,0.469587391955364,0.853467434160727,0.770579768476712,0.645703615194900,0.288777735371626,0.436455055513841,0.725860024203601,0.620240504623170,0.522113161553255,0.0477934303455525,0.960729892129252,0.578734510249215,0.958993844191301,0.410984431887991,0.00866318793111209,0.664596518243363,0.572018559973648,0.205071899702260,0.204155315277874,0.0524842884129402,0.955607738253028,0.142713709599393,0.0807779285017127,0.343374878707472,0.406740137444400,0.450828703539503,0.474727487003630,0.741418500850852,0.0373986122046132,0.232338724316103,0.204472559909857,0.120371881684712,0.135507783193726,0.648545722301243,0.275721325948385,0.784041508047124,0.252026380417200,0.607975660694216,0.124542819916470,0.0626524456987835,0.188253454039773,0.793513937375865,0.557089424462216,0.860651370784595,0.463567860757518,0.482208562694870,0.00518740725455080,0.432812238147797,0.507913190833733,0.310297777085083,0.608906773763500,0.823465949704693,0.837314798701980,0.802352678984444,0.592934815838408,0.0896572316084057,0.0290220233897121,0.187127664276471,0.239693647488146,0.940856961754510,0.139880310814547,0.106084597937678,0.304939851486604,0.887739221545761,0.597063925057081,0.277871048209883,0.865917742683035,0.730091443063275,0.527743454955125,0.629399222550254,0.522453625211464,0.329828033544366,0.0809377688174476,0.0533805046883120,0.978955540705015,0.717794232489094,0.449220662470914,0.385906609416111,0.239589656760664, 0.0
    ];

    let b_static = b.clone();

    // Transpose C and solve
    c_sparse = rsparse::transpose(&c_sparse); // rectangular matrix 201x200

    rsparse::qrsol(&c_sparse, &mut b, 2);

    utils::assert_eq_f_vec(&rsparse::gaxpy(&c_sparse, &b, &vec![0.; b.len()]), &b_static, 1e-1);
}

#[test]
fn allsol_1(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/allsol_1.sprs").unwrap();

    let mut b_chol = vec![
        0.548180369491319,0.761658674673550,0.151479748766356,0.915525118149335,0.736302868468856,0.908631860198080,0.608880809390977,0.625592041703643,0.357687859076594,0.885553440903971,0.263908791336976,0.104616866297271,0.324805588520260,0.525289990999559,0.180992615259307,0.540998396479210,0.293100388044246,0.964987551357191,0.351069274077105,0.433298408270891,0.845059950376853,0.340332160061358,0.651618845267137,0.527396723755802,0.0674691535490961,0.302564019971667,0.493999480160137,0.668417396823365,0.996312444589801,0.635410869272874,0.771094111009475,0.258546483555189,0.198884290297785,0.238630482734875,0.519193991544229,0.618687803810945,0.0998819131311881,0.406239896612799,0.971186368595116,0.650546831177922,0.782912146605053,0.0799824411672707,0.480561157269421,0.0665199208382391,0.434643187061550,0.546133203470996,0.857275610704813,0.392213310441527,0.829373049445708,0.258576308638939,0.0506619853386520,0.913977254535826,0.708696964169579,0.683631508977777,0.760255776712617,0.0308315495019781,0.620133742232672,0.516744137010833,0.570985478078560,0.579934694437069,0.209967186569125,0.827015342727021,0.318357479950786,0.442515203624037,0.183902320700275,0.264318455428335,0.0733385009476212,0.749524691239792,0.390930856949118,0.623286005814952,0.146135237186804,0.372181309536023,0.147603559372303,0.355929313685290,0.482084709592516,0.566358784088194,0.569844315837003,0.801289565093734,0.817235176547022,0.506060747084829,0.503100666421165,0.706115812653271,0.536434254482887,0.906600067864615,0.949071701579944,0.598677818665063,0.726439084013089,0.427282835979911,0.00869710592320649,0.530961615183720,0.214766479950175,0.183301523967309,0.953546299240681,0.744441195024240,0.245402566464423,0.106104806372863,0.999216953007538,0.663763141826553,0.469558945958392,0.0674116562450613
    ];

    let mut b_qr = b_chol.clone();

    let mut b_lu = b_chol.clone();

    rsparse::cholsol(&c_sparse, &mut b_chol, 0);
    rsparse::qrsol(&c_sparse, &mut b_qr, 2);
    rsparse::lusol(&c_sparse, &mut b_lu, 1, 1e-12);

    utils::assert_eq_f_vec(&b_chol, &b_qr, 1e-12);
    utils::assert_eq_f_vec(&b_chol, &b_lu, 1e-12);
}

#[test]
fn allsol_2(){
    let mut c_sparse = rsparse::data::Sprs::new();
    c_sparse.load("./tests/assets/allsol_2.sprs").unwrap();

    let b_static = vec![
        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    ];

    let mut b_qr = b_static.clone();

    let mut b_lu = b_static.clone();


    rsparse::qrsol(&c_sparse, &mut b_qr, 2);
    rsparse::lusol(&c_sparse, &mut b_lu, 1, 1e-12);

    utils::assert_eq_f_vec(&b_lu, &b_qr, 1e-1);
    utils::assert_eq_f_vec(&rsparse::gaxpy(&c_sparse, &b_qr, &vec![0.; b_qr.len()]), &b_static, 1e-12);
    utils::assert_eq_f_vec(&rsparse::gaxpy(&c_sparse, &b_lu, &vec![0.; b_lu.len()]), &b_static, 1e-12);
}