test_problems.jl

using Compat.SparseArrays

# Random, feasible conic problem (no exponential or SDP cones)
# Problem data taken from https://github.com/cvxgrp/scs/blob/master/examples/raw/demo_data
function feasible_basic_conic(T)
    n = 11
    m = 112

    f = 0
    l = 100
    ep = 0
    ed = 0
    q = [12]
    s = Int[]

    b = [
    1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0,
    1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0,
    1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0,
    1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0,
    1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0,
    1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0,
    1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.5, 0.0, 0.0, 0.0, 0.0,
    0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.5]

    c = [
    -3.687045235791087894, -3.143065318037093103,  2.289111017442006180,
     1.817854752120232842,  1.515395029041534336, -0.621501577833336483,
     0.896216656096898490, -0.946791055758523736,  1.016669273321816114,
    -0.487162812452204275,  1.000000000000000000]

    colptr = [0, 101, 202, 303, 404, 505, 606, 707, 808, 909, 1010, 1012]

    rowval = [
     0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
    19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37,
    38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56,
    57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75,
    76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94,
    95, 96, 97, 98, 99, 101, 0,  1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
    15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,
    34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52,
    53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71,
    72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90,
    91, 92, 93, 94, 95, 96, 97, 98, 99, 102, 0,  1,  2,  3,  4,  5,  6,  7,  8,
     9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27,
    28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46,
    47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65,
    66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84,
    85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 103, 0,  1,  2,
     3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
    22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
    41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
    60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78,
    79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97,
    98, 99, 104, 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15,
    16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34,
    35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
    54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72,
    73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91,
    92, 93, 94, 95, 96, 97, 98, 99, 105, 0,  1,  2,  3,  4,  5,  6,  7,  8,  9,
    10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,
    29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
    48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66,
    67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85,
    86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 106, 0,  1,  2,  3,
     4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,
    23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
    42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60,
    61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
    80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98,
    99, 107, 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,
    17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
    36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54,
    55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73,
    74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92,
    93, 94, 95, 96, 97, 98, 99, 108, 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10,
    11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
    30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48,
    49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67,
    68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86,
    87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 109, 0,  1,  2,  3,  4,
     5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
    24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42,
    43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
    62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
    81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
    110, 100, 111]

    values = [
     0.267905121455780493, -0.267905121455780493,  1.027917777157112633,
    -1.027917777157112633, -2.297179456574058865,  2.297179456574058865,
    -0.236264446681208273,  0.236264446681208273, -1.867877520107915412,
     1.867877520107915412,  0.162954278135808150, -0.162954278135808150,
     0.235147192773076164, -0.235147192773076164,  0.683684798830484719,
    -0.683684798830484719,  0.392483177863985011, -0.392483177863985011,
     0.924930282229331158, -0.924930282229331158, -2.159603434889884266,
     2.159603434889884266,  0.032954349530355143, -0.032954349530355143,
    -1.102218022704213984,  1.102218022704213984,  1.089305235192274290,
    -1.089305235192274290, -0.205884695396086725,  0.205884695396086725,
     0.662421406463353013, -0.662421406463353013,  0.693092774331567685,
    -0.693092774331567685, -0.477841384181042939,  0.477841384181042939,
     1.491230998886413417, -1.491230998886413417,  0.967521567131197524,
    -0.967521567131197524,  2.911450906122811766, -2.911450906122811766,
    -0.458525517948777994,  0.458525517948777994,  1.523410490461409861,
    -1.523410490461409861, -0.005653356349895766,  0.005653356349895766,
    -0.850527244660144954,  0.850527244660144954, -0.914427729368161080,
     0.914427729368161080, -0.366414500628216067,  0.366414500628216067,
     0.845776230367680237, -0.845776230367680237, -2.167303234827925085,
     2.167303234827925085, -0.311201875432801589,  0.311201875432801589,
    -1.343057018434765437,  1.343057018434765437,  0.329227476201254532,
    -0.329227476201254532,  0.937892636329581530, -0.937892636329581530,
    -1.292149283676578220,  1.292149283676578220,  0.727475864828183827,
    -0.727475864828183827, -0.865828722236433812,  0.865828722236433812,
    -0.712336606310262854,  0.712336606310262854, -1.416761181304521111,
     1.416761181304521111,  0.065959446153038476, -0.065959446153038476,
     0.538493444004808364, -0.538493444004808364, -0.117595299877949297,
     0.117595299877949297, -0.280761797896251886,  0.280761797896251886,
    -0.375803478543587532,  0.375803478543587532,  0.359440188545873895,
    -0.359440188545873895,  0.102984464805364467, -0.102984464805364467,
     0.677264337807959915, -0.677264337807959915,  1.688890914825171841,
    -1.688890914825171841,  1.415133737581891982, -1.415133737581891982,
    -0.260722295562210549,  0.260722295562210549,  0.105168432618356816,
    -0.105168432618356816, -1.000000000000000000,  1.889555946293464350,
    -1.889555946293464350, -0.360701715826208469,  0.360701715826208469,
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     0.750549444160155899, -0.607358855980370871,  0.607358855980370871,
    -0.277021092833852400,  0.277021092833852400, -0.203825835441055647,
     0.203825835441055647, -0.090812111090438824,  0.090812111090438824,
     0.840648343850716073, -0.840648343850716073,  2.366017834555732335,
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     1.294136754697726044, -1.294136754697726044,  1.721966354400402466,
    -1.721966354400402466, -0.394704235668438097,  0.394704235668438097,
    -0.866913724584800427,  0.866913724584800427, -0.521584096752930937,
     0.521584096752930937, -1.603058260481896147,  1.603058260481896147,
     1.131290495226984216, -1.131290495226984216, -0.025983716418195180,
     0.025983716418195180,  1.032351087100518372, -1.032351087100518372,
    -2.224637786217645186,  2.224637786217645186, -0.162734496391128941,
     0.162734496391128941,  0.273673555167950888, -0.273673555167950888,
    -2.459010134987294371,  2.459010134987294371, -0.918195490875242326,
     0.918195490875242326,  3.349596084069234259, -3.349596084069234259,
     0.687195476960778762, -0.687195476960778762, -1.052718851466527328,
     1.052718851466527328,  0.050624437594229355, -0.050624437594229355,
     0.918266891203016855, -0.918266891203016855, -0.402689924407274802,
     0.402689924407274802,  0.172930030148746722, -0.172930030148746722,
    -0.729742764543249600,  0.729742764543249600, -1.328294149765913312,
     1.328294149765913312,  0.074352549621726965, -0.074352549621726965,
     0.382668985189349498, -0.382668985189349498,  1.390238993188259498,
    -1.390238993188259498, -0.729630799636320049,  0.729630799636320049,
    -1.335330064808758044,  1.335330064808758044,  1.080203042138974112,
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     0.948846205447098190, -0.948846205447098190,  0.537516306246460296,
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     0.322774153261093044, -0.322774153261093044, -0.078317251196179785,
     0.078317251196179785, -0.638547209457334453,  0.638547209457334453,
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     1.007402320427817077, -0.866896266710699970,  0.866896266710699970,
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    -1.098377187481418327,  1.098377187481418327,  0.561283369614635874,
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     0.982226376107772414, -0.982226376107772414,  0.143410505344264055,
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    -0.674859862131981347,  0.674859862131981347,  0.361191784792336323,
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     0.247664495777954352, -0.247664495777954352, -2.624827919838180978,
     2.624827919838180978, -0.292697699274345136,  0.292697699274345136,
     1.816454414571746945, -1.816454414571746945, -1.762366799993794864,
     1.762366799993794864, -0.242523030834476544,  0.242523030834476544,
    -0.116759392895071146,  0.116759392895071146, -1.459080445461180098,
     1.459080445461180098,  0.418859403675993669, -0.418859403675993669,
     0.182519919352751275, -0.182519919352751275,  0.317673288988851388,
    -0.317673288988851388,  0.894501008979574186, -0.894501008979574186,
     0.240779273237376745, -0.240779273237376745,  1.063124478382744265,
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     0.335540465956989664, -0.335540465956989664,  0.679568586001081942,
    -0.679568586001081942, -0.630620458948692009,  0.630620458948692009,
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     1.774739631265793260, -1.774739631265793260, -1.000000000000000000,
     0.506497876068581654, -0.506497876068581654,  0.000326691662373364,
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     0.466908966395864100, -2.168190935795662355,  2.168190935795662355,
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     0.846238367236053057, -0.846238367236053057,  0.444152474144777987,
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     1.350501505879705411, -1.350501505879705411, -0.796531305332793926,
     0.796531305332793926, -1.500064621977569068,  1.500064621977569068,
     0.013262735417032061, -0.013262735417032061, -0.919545740399544842,
     0.919545740399544842, -0.720599621073430674,  0.720599621073430674,
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     0.415746346580660175,  1.447138808881193173, -1.447138808881193173,
     1.260731770052782030, -1.260731770052782030, -0.226090396655164727,
     0.226090396655164727,  0.412205318621164107, -0.412205318621164107,
     0.147480060602125151, -0.147480060602125151,  0.273383713767828274,
    -0.273383713767828274, -0.356808074324790336,  0.356808074324790336,
     1.013981805928862112, -1.013981805928862112,  0.269343540845133511,
    -0.269343540845133511, -0.131014546908719692,  0.131014546908719692,
     1.346897709728866133, -1.346897709728866133, -1.077804826671031835,
     1.077804826671031835, -2.166977323932548494,  2.166977323932548494,
     4.082665741988060759, -4.082665741988060759, -0.158050142170322011,
     0.158050142170322011,  0.826308257196147311, -0.826308257196147311,
     1.364531401616584372, -1.364531401616584372,  0.447820002980886034,
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     0.638742958438863195, -0.638742958438863195,  1.284767930527563218,
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     0.000486121785261532,  0.915943372086077567, -0.915943372086077567,
     0.281169314576583562, -0.281169314576583562, -0.240045850376803122,
     0.240045850376803122,  0.678876421485956394, -0.678876421485956394,
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     0.955342180681646336, -0.955342180681646336,  0.805784538992392330,
    -0.805784538992392330,  0.372022079078506707, -0.372022079078506707,
     0.131125010573828527, -0.131125010573828527, -0.428233847101695153,
     0.428233847101695153,  0.239263979475934280, -0.239263979475934280,
     0.495824604297952665, -0.495824604297952665, -1.974307955242914581,
     1.974307955242914581,  1.603706793378771422, -1.603706793378771422,
     0.009079468662080679, -0.009079468662080679, -0.340801415852529821,
     0.340801415852529821, -0.040371866286134914,  0.040371866286134914,
     1.252279885978765384, -1.252279885978765384, -0.480496637097164170,
     0.480496637097164170,  0.025086653875817752, -0.025086653875817752,
     1.133441378387318510, -1.133441378387318510,  1.685216101290169188,
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     0.763260238467797114, -2.779910894557495293,  2.779910894557495293,
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     1.334746162474092834, -0.669135345166555928,  0.669135345166555928,
     2.095458091555622460, -2.095458091555622460, -1.489693812460274769,
     1.489693812460274769, -1.445874828327142092,  1.445874828327142092,
     0.885203250913691675, -0.885203250913691675, -0.130365900983153593,
     0.130365900983153593, -1.227811794109990418,  1.227811794109990418,
     1.887461183070288540, -1.887461183070288540, -0.372231541771805063,
     0.372231541771805063,  0.854005807614880763, -0.854005807614880763,
     0.233301251116458497, -0.233301251116458497,  0.128510580408158021,
    -0.128510580408158021,  0.317037146153163529, -0.317037146153163529,
    -0.072474722564739330,  0.072474722564739330, -0.902410880592201314,
     0.902410880592201314, -0.135741998878747605,  0.135741998878747605,
    -0.191584542689922477,  0.191584542689922477, -0.691971672385520598,
     0.691971672385520598, -0.740985851503054516,  0.740985851503054516,
     0.777878742705346071, -0.777878742705346071,  2.316421323974115154,
    -2.316421323974115154,  0.442592141778819392, -0.442592141778819392,
    -1.000000000000000000,  0.057300638002260783, -0.057300638002260783,
    -0.765880201091782453,  0.765880201091782453,  0.018658948070564667,
    -0.018658948070564667, -0.884852857487954947,  0.884852857487954947,
    -0.119099061784913321,  0.119099061784913321,  0.110823913892580964,
    -0.110823913892580964, -0.628128807378484644,  0.628128807378484644,
    -0.958779880814327745,  0.958779880814327745,  0.335534085713524222,
    -0.335534085713524222, -1.589119342626025944,  1.589119342626025944,
    -0.339290158527664643,  0.339290158527664643,  0.683350252109244716,
    -0.683350252109244716, -1.341947200350975145,  1.341947200350975145,
    -1.094209818133984768,  1.094209818133984768, -1.303705781186516477,
     1.303705781186516477,  0.205495234849035424, -0.205495234849035424,
     2.150190108595682936, -2.150190108595682936,  0.504922856191401204,
    -0.504922856191401204,  0.202643337241746463, -0.202643337241746463,
     0.368081470693641333, -0.368081470693641333,  0.559511763513307891,
    -0.559511763513307891,  0.621090751359941073, -0.621090751359941073,
    -0.437128202629269713,  0.437128202629269713, -0.320080245358165705,
     0.320080245358165705,  0.676285408860144432, -0.676285408860144432,
     0.294205824825271300, -0.294205824825271300,  1.086292218045164404,
    -1.086292218045164404,  0.131665472918444160, -0.131665472918444160,
     0.913562447586867998, -0.913562447586867998, -0.441621943495057401,
     0.441621943495057401,  0.175143091644549165, -0.175143091644549165,
    -0.057950142634599001,  0.057950142634599001,  1.272633458197298228,
    -1.272633458197298228, -0.739156567900068118,  0.739156567900068118,
    -1.172962844785649050,  1.172962844785649050,  0.690349067302703512,
    -0.690349067302703512,  1.261164997660849663, -1.261164997660849663,
    -0.578273293013085943,  0.578273293013085943,  0.705747556964109291,
    -0.705747556964109291,  1.199347759194084206, -1.199347759194084206,
    -0.561175893138310178,  0.561175893138310178,  0.418058667159627584,
    -0.418058667159627584,  0.775233786194539753, -0.775233786194539753,
    -1.005165576137645900,  1.005165576137645900, -0.248095930746197624,
     0.248095930746197624,  0.968389188406472812, -0.968389188406472812,
     0.052644854909029225, -0.052644854909029225,  0.459974856433697621,
    -0.459974856433697621, -0.764234718892679465,  0.764234718892679465,
    -0.924252504077109682,  0.924252504077109682, -1.000000000000000000,
    -2.285037536291396609,  2.285037536291396609,  0.330256994776636892,
    -0.330256994776636892,  0.781166851577503984, -0.781166851577503984,
     1.091855391225416527, -1.091855391225416527,  0.303546598398528267,
    -0.303546598398528267,  0.883205583346516998, -0.883205583346516998,
    -0.200432630370076942,  0.200432630370076942,  0.103227093467374034,
    -0.103227093467374034, -0.536598825966995818,  0.536598825966995818,
    -0.114094330489527385,  0.114094330489527385,  0.352868274327804876,
    -0.352868274327804876,  1.184201821029249313, -1.184201821029249313,
    -0.281707700532443983,  0.281707700532443983,  1.299996056001185840,
    -1.299996056001185840,  1.288620739680663041, -1.288620739680663041,
    -0.124775257491364810,  0.124775257491364810,  2.676893190719289439,
    -2.676893190719289439,  0.393601576244927809, -0.393601576244927809,
    -0.860157510975565920,  0.860157510975565920, -0.162471839540177465,
     0.162471839540177465,  0.870279361361823600, -0.870279361361823600,
    -0.150491539662725049,  0.150491539662725049, -1.332287989766246072,
     1.332287989766246072,  0.065469192080399141, -0.065469192080399141,
    -1.317974937874615282,  1.317974937874615282,  0.509029000143902399,
    -0.509029000143902399,  0.368719922900173025, -0.368719922900173025,
     0.646131466361322016, -0.646131466361322016, -0.791339007906923575,
     0.791339007906923575, -0.438686479862148759,  0.438686479862148759,
     1.538459427564934812, -1.538459427564934812, -0.258833298230582876,
     0.258833298230582876, -1.504378351654444890,  1.504378351654444890,
    -1.036168922551806260,  1.036168922551806260, -1.956795979420658416,
     1.956795979420658416,  1.136562859433311701, -1.136562859433311701,
    -1.534637925681490822,  1.534637925681490822, -0.794072741149785766,
     0.794072741149785766,  1.371420904545398223, -1.371420904545398223,
     0.507731197862471229, -0.507731197862471229, -0.301106820285413468,
     0.301106820285413468, -1.017488307329072361,  1.017488307329072361,
    -0.614101742707810261,  0.614101742707810261, -0.781398901846928728,
     0.781398901846928728,  0.053926155630600305, -0.053926155630600305,
    -0.528096222539175431,  0.528096222539175431,  1.913029349947439561,
    -1.913029349947439561, -0.179790546417506469,  0.179790546417506469,
    -0.683750983213183505,  0.683750983213183505, -1.021241699433223404,
     1.021241699433223404, -1.000000000000000000, -2.049890895857636064,
     2.049890895857636064, -1.417369090725334679,  1.417369090725334679,
    -0.850006203774544056,  0.850006203774544056,  0.462163832152883536,
    -0.462163832152883536, -1.576268635512163341,  1.576268635512163341,
    -1.441553193165409752,  1.441553193165409752,  0.528158464893624058,
    -0.528158464893624058, -0.356925550618781839,  0.356925550618781839,
     1.025569158189527652, -1.025569158189527652,  0.449741824505590193,
    -0.449741824505590193,  0.832324652288013667, -0.832324652288013667,
    -1.071955389109310985,  1.071955389109310985, -1.634162605612502706,
     1.634162605612502706,  0.505770152619639646, -0.505770152619639646,
    -0.529050505036871677,  0.529050505036871677,  2.096511832225588901,
    -2.096511832225588901,  0.761631727644857093, -0.761631727644857093,
    -1.192983489646781026,  1.192983489646781026,  2.417357758103033216,
    -2.417357758103033216, -0.054862528716085407,  0.054862528716085407,
    -0.911480249686436483,  0.911480249686436483, -0.754953036467722605,
     0.754953036467722605, -0.765582251486999321,  0.765582251486999321,
     0.336077875984923224, -0.336077875984923224,  0.627961935625664491,
    -0.627961935625664491, -0.048378255106885454,  0.048378255106885454,
     0.324089280340306485, -0.324089280340306485,  0.867067055827554611,
    -0.867067055827554611,  0.482964936776505871, -0.482964936776505871,
     0.913512419073207127, -0.913512419073207127, -0.986143056174743848,
     0.986143056174743848,  0.106234733647867743, -0.106234733647867743,
     0.600980235748239666, -0.600980235748239666, -0.586035595820676769,
     0.586035595820676769, -0.480578250645586014,  0.480578250645586014,
    -1.153384062348248751,  1.153384062348248751, -1.171239036967019365,
     1.171239036967019365, -0.322604826885027784,  0.322604826885027784,
     0.136050508789379743, -0.136050508789379743,  1.065246013053737562,
    -1.065246013053737562, -0.601401671319884090,  0.601401671319884090,
     0.095447184573948712, -0.095447184573948712,  2.265102206815573727,
    -2.265102206815573727, -0.205975175263903992,  0.205975175263903992,
     0.427509540011176081, -0.427509540011176081,  0.520441665490702587,
    -0.520441665490702587, -2.895556119432680209,  2.895556119432680209,
     0.620757007249324810, -0.620757007249324810, -0.005251762123618039,
     0.005251762123618039,  1.083172978556625754, -1.083172978556625754,
    -1.000000000000000000,  0.365201243908861106, -0.365201243908861106,
     1.250190028804355702, -1.250190028804355702,  0.224932134413901919,
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     0.234274596888654818, -1.199930348307246541,  1.199930348307246541,
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     0.436287483119169650, -0.436287483119169650,  2.405987267352854619,
    -2.405987267352854619,  0.831037192863362639, -0.831037192863362639,
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     0.990651120099914628,  0.755067493672610501, -0.755067493672610501,
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     1.267282701791565547,  0.419704110261967744, -0.419704110261967744,
    -0.766570120470680960,  0.766570120470680960, -1.021465600725925960,
     1.021465600725925960, -0.521511779651205876,  0.521511779651205876,
     0.374754396256747835, -0.374754396256747835,  0.785689533273488006,
    -0.785689533273488006, -0.158926489386465586,  0.158926489386465586,
     1.132984272112302016, -1.132984272112302016,  0.957264734680358442,
    -0.957264734680358442, -0.404576492822195655,  0.404576492822195655,
     0.589263426043603378, -0.589263426043603378, -1.033631870548684217,
     1.033631870548684217,  0.598534902235807076, -0.598534902235807076,
     0.919327935687768494, -0.919327935687768494, -0.224031230235764156,
     0.224031230235764156, -0.611669152956875184,  0.611669152956875184,
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     1.406273548026924392, -1.406273548026924392, -1.000000000000000000,
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     1.221871953979475789, -0.300753582392023655,  0.300753582392023655,
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    -0.131548564249591410, -0.071935913309509686,  0.071935913309509686,
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    -1.191450868677329078, -1.613612865536336205,  1.613612865536336205,
    -0.441167481116289062,  0.441167481116289062,  3.280667499979234236,
    -3.280667499979234236, -1.201795592615207742,  1.201795592615207742,
     2.951958398205375200, -2.951958398205375200, -1.276239289802024945,
     1.276239289802024945, -1.132028638493809636,  1.132028638493809636,
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    -0.068454839838739664,  0.258744697658441825, -0.258744697658441825,
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    -0.079789089547489894, -0.095257282931539802,  0.095257282931539802,
     0.032098955389624276, -0.032098955389624276, -0.446625802398977478,
     0.446625802398977478,  0.066898135600142933, -0.066898135600142933,
     0.187007172038859970, -0.187007172038859970, -0.111876955691751587,
     0.111876955691751587, -1.135249689741995027,  1.135249689741995027,
     0.855383920893877270, -0.855383920893877270, -0.584066032000734703,
     0.584066032000734703,  0.043977907469829255, -0.043977907469829255,
    -1.235073226970094584,  1.235073226970094584,  0.903396805744995368,
    -0.903396805744995368, -1.419367800674472990,  1.419367800674472990,
    -0.669079320858145477,  0.669079320858145477,  1.846743883979396816,
    -1.846743883979396816, -0.197864347556086784,  0.197864347556086784,
     0.178086679323349178, -0.178086679323349178, -0.726541129368893035,
     0.726541129368893035,  0.102548417306546763, -0.102548417306546763,
     0.101435234812034022, -0.101435234812034022, -0.607294919138270162,
     0.607294919138270162, -0.232543338993652815,  0.232543338993652815,
     1.024873011278554902, -1.024873011278554902, -0.367070741104161269,
     0.367070741104161269,  0.015584587754633259, -0.015584587754633259,
     0.893352765523915404, -0.893352765523915404, -0.318598602767036110,
     0.318598602767036110, -0.565309322249061386,  0.565309322249061386,
    -0.869520326873197580,  0.869520326873197580,  1.087601931698385149,
    -1.087601931698385149, -1.000000000000000000, -1.000000000000000000,
    -1.000000000000000000]

    A = SparseMatrixCSC(m, n, colptr .+ 1, rowval .+ 1, vec(values))

    sol = SCS_solve(T, m, n, A, b, c, f, l, q, s, ep, ed, Float64[])
    @test sol.ret_val == 1
end

# Feasible conic problem with exponential cones (no SDP cones)
# Problem data taken from https://github.com/cvxgrp/scs/blob/master/examples/raw/randomConeFeasible
function feasible_exponential_conic(T)
    n = 24
    m = 71
    f = 10
    l = 10
    ep = 10
    ed = 5
    q = [0,1,0,2,3]
    s = Int[]

    b = [
    -0.883995908378185202,  0.247092008779755457,  0.000000000000000000,
    -0.908862166109580594,  0.493908919902298627,  0.215008446366246719,
    -0.756619621167477718, -0.244711519515723036, -2.185656700286640941,
    -1.777454077348217920,  1.191220488872941186, -0.072631913036035556,
    -0.884888299606113149, -3.097264426296667761, -0.491714244502094944,
     0.820612279439398518, -5.027612089838516596, -0.218768971520485273,
    -1.779020210515877221,  0.000000000000000000,  1.049908711514835780,
     0.423746551400514093, -0.078381703192688112, -0.387520318558316479,
     0.959884766721948446, -0.080140759738691447,  1.300716537987696597,
    -0.217623259095584554, -0.772345449741623336, -0.014345948596158398,
     2.002325668310177775,  2.019795133016943467,  1.285967533112210681,
    -0.503689333815666940,  3.004968290408826626, -1.438380292815098382,
    -0.801360722211995502,  0.731209144814713885, -2.639460367287462361,
     1.255602400085220394, -0.301008710647552635,  0.478491654540030953,
    -0.984259121708334739,  0.276318763804415002,  0.631004508865874447,
     1.808914085971600416,  0.379215625232032671, -0.627707287528726510,
    -1.823589846592805763,  0.000000000000000000,  0.376255266738256766,
     0.577717062577191354,  1.119478389802739615,  0.977520182221270906,
     0.000000000000000000,  3.417141674635829851, -0.093825387556597556,
    -1.780472058822893722,  1.589707484189159858,  0.133747881756402398,
     1.316803247114450848, -0.153152367127352751, -1.712195041092097192,
    -0.151457896071195447,  1.216498217552836492,  0.610011299767568738,
     4.095401319683990238, -0.761957853948331154, -0.485158172250699793,
    -1.990510613776122817,  1.151843011380725867]

    c = [
     1.126284961639569149,  0.474697659805094763, -2.123033959497108825,
     4.908405709073863754,  1.205680866991396316, -0.305211910012288978,
    -6.293810724494532494, -0.698794364791622713,  2.279737335846038437,
    -0.945550079347313055, -0.727867522608193762, -1.869349988323733891,
    -3.748045451887451307,  1.125456539838578518,  0.750188573436658457,
     1.255406629974515686, -4.887321053728165055,  4.021564105931883404,
     0.000000000000000000, -5.091850958321861853, -0.068986990722853969,
    -1.715673120575787136,  0.036366854219751360, -3.625427280331933400]

    colptr = [0, 7, 12, 18, 24, 34, 37, 43, 47, 54, 59, 68, 79, 87, 93, 101, 111, 119, 127, 128, 139, 141, 150, 154, 162]

    rowval = [
     5, 17, 22, 31, 55, 65, 69, 12, 18, 30, 34, 58,  9, 11, 13, 18, 30, 66,  0,
    10, 17, 18, 44, 58,  5,  6,  7, 26, 29, 31, 53, 57, 61, 67, 39, 43, 68,  3,
     9, 13, 14, 16, 21,  7, 36, 38, 55,  4, 12, 21, 27, 40, 46, 66,  3, 26, 34,
    44, 53,  5, 11, 17, 27, 31, 37, 42, 45, 63, 13, 22, 24, 33, 36, 40, 50, 56,
    58, 64, 65,  6, 10, 13, 16, 18, 23, 41, 44, 17, 31, 41, 46, 55, 58, 16, 20,
    33, 38, 42, 58, 62, 64,  7, 13, 18, 21, 26, 36, 45, 52, 56, 60,  8, 15, 21,
    30, 33, 48, 53, 64,  1,  5, 11, 16, 23, 24, 28, 39, 37,  5,  8, 28, 30, 41,
    55, 57, 59, 61, 64, 67, 56, 70,  0,  3, 10, 18, 22, 34, 37, 42, 65, 16, 25,
    51, 65,  5, 13, 24, 28, 32, 36, 40, 55]

    values = [
     0.155488995903893978, -0.062791225718324961, -0.723631125289072807,
    -0.238301504589733010, -1.222593380186629552,  0.176577794642316321,
     0.705885019349415832, -1.327043149520291010, -0.054886129988677361,
     0.595357673884101768, -0.608557444738319409, -0.345065971567320995,
     0.312023828329273611,  0.600142508808629960,  0.401844497039814952,
    -1.118732002452724972,  1.046832784305231856,  2.003390610862264776,
    -0.289963040800027938, -0.723121479570418058, -2.021958930051789505,
    -0.626378538867138679,  1.223062551733806957,  1.012801864262980134,
     0.818551368521000522, -0.493009815316450606,  0.045841105713705040,
     0.571247629714476068, -0.131820352915893585,  0.229596893220313791,
     0.245804851893843240, -0.300111005615675885, -0.438141355602143678,
    -0.432003843727780446,  2.787335227813435345,  1.778255899291004472,
    -0.360076301153971601,  1.174116751493714972,  1.804493771724186901,
     1.470201280848519421,  0.397466995795308642,  1.516266896645952711,
     1.808862620519253950, -0.063783120022332648,  0.910482579647111989,
     0.439952188872439920,  0.316500360797716096, -1.481399071578779925,
    -1.441013597638914456, -1.079866250738828137,  0.759568325914783404,
    -1.854299082689693901,  0.066756911436865754,  0.950993499549085408,
     0.126947068043645916,  0.412796010311391848, -0.737059771697805455,
    -1.283256104604766579,  0.070045209416807905, -0.292588130834394000,
     0.593930795648752730, -0.982131525779047831, -0.657201299098350344,
     0.439997904822629349,  0.183703423091249041,  0.541334435719376117,
     0.901931466951714444, -0.297697144009373027, -0.326814228785906158,
    -0.593250315010803608, -0.373070658631004248,  0.601102032468295078,
     0.867082552947325391, -1.140681144669632330, -0.069214254022048366,
    -0.418903195029848852,  0.629334584931418806,  1.143678910770957513,
     0.970737823554688517, -0.180739356415037467,  0.526547037749559022,
     0.812323004640795987, -0.032566509194480744,  0.249517740562795132,
     0.942133319236942435, -0.433609296474823602, -2.328954516283341825,
     0.612511298166949270, -0.616865928889227422, -0.168469878275448348,
     0.035479485837577006, -1.342869236621930140, -0.213015082641054704,
     1.635999657278292441, -0.640709506726057532,  0.092307951238962266,
     0.101662443700341151,  0.389266203843263880, -0.865697308360523721,
     0.983545235205556256, -0.531620117507069279,  0.611335194065235954,
     0.545540103526115816, -0.993019006549600625,  0.199189444075264455,
    -0.986961883351521907, -0.079892839058037096, -1.835638683735192345,
     0.235809672576244050, -0.140321722056366061, -0.270068812648098844,
     0.109317693774870342, -0.751894738681891606, -1.521026561768954677,
    -0.197958632611841989,  1.729841391572364273,  2.227168078167871546,
    -0.608580510079949288,  0.972565728008653152,  0.475424811707271355,
    -0.540786416488525767, -2.186021612748235476, -0.425058490610030815,
     0.300485967595730263,  0.815488508092498399, -0.603918481376169214,
    -1.166665030194641073,  0.290790134884453599, -0.308641815280113085,
     1.814015450280375585,  0.176946822329411252,  0.327678163907200726,
    -0.218533560026580531, -1.032184344072171189,  1.029365712103099240,
    -1.043108301337626775, -0.408674314796325655, -0.522250484993548869,
     0.648940737363586706,  0.899822328897223467,  1.415849068436585423,
     1.261550718141148275, -0.656815928948082495, -0.260250861706116776,
     0.974950224811311550,  0.401336339818801069, -1.749879306387625455,
     0.112944717021051230,  0.751228984688332879, -0.413972274974230170,
     0.589433366718220664,  0.120205281956355367, -0.507323064614498387,
    -0.438270518204901538, -1.096593301525472075, -1.051632309520848407,
     0.798886992156715880, -0.307503469862750567,  0.274836786911666187,
     0.898475989377141793, -1.093343456239604494,  1.331215885064973348]

    A = SparseMatrixCSC(m, n, colptr .+ 1, rowval .+ 1, vec(values))

    sol = SCS_solve(T, m, n, A, b, c, f, l, q, s, ep, ed, Float64[])
    @assert sol.ret_val == 1
end

# Feasible conic problem with exponential and SDP cones
# BLAS and LAPACK must be linked
# Problem data taken from https://github.com/cvxgrp/scs/blob/master/examples/raw/randomConeFeasibleSDP
function feasible_sdp_conic(T)
    n = 15
    m = 46
    f = 3
    l = 3
    ep = 2
    ed = 2
    q = [2,3,4]
    s = [2,3,4]

    b = [
    -0.757244022903780567,  0.000000000000000000, -1.892151461056349238,
    -0.163643541176375057,  0.000000000000000000, -1.081834184990333014,
     0.795686782662209935, -0.459554179861930256,  0.000000000000000000,
    -0.021401100284139062,  0.221822131770426145,  0.624165617064677769,
     0.103992209313486683,  0.383906342184775817,  0.220548856781228653,
     0.207179552343107032, -0.251552024267611252, -0.940985378402204531,
     0.143203475268773417, -0.637990380166112425, -0.047725168844638927,
    -1.400142610548834821, -0.518640886812063995, -0.466344476203716551,
    -0.306977592331722393, -0.733266642509912470,  1.636614964482892454,
     2.801678431332372821,  0.542022232315772401,  0.561733632830300200,
    -2.792150430434448882,  0.679252001011406148,  0.060935700608246268,
     1.017184097064012693, -1.472726175247485836,  0.298927350489858801,
     0.283700004781893000, -5.946289176766917706,  0.563505302268017871,
     1.728907659188164914,  0.783139219605003434,  0.241447041607357943,
    -0.100769851306178021, -0.312858596637428432,  0.715583273231235939,
     0.030051296196268559]

    c = [
    -0.159052113684804763,  1.195574970454808206,  0.354942838344536771,
    -0.144003787891437030,  0.031108987439201756, -6.024128094309364911,
    -6.684198760055235056, -2.875770597510225901, -1.958442177032014397,
    -3.231061172173861795, -0.047201649069278366, -1.907845683517030544,
     0.605113199091042553,  2.360164164701050726, -0.367619298880400125]

    colptr = [0, 3, 11, 18, 24, 25, 30, 36, 39, 44, 47, 48, 51, 56, 61, 66]

    rowval = [
     7, 26, 27,  3,  5,  9, 15, 26, 28, 31, 34,  7, 12, 21, 25, 32, 38, 44, 10,
    11, 16, 35, 36, 40, 10, 11, 14, 24, 26, 34, 11, 12, 16, 20, 38, 42, 13, 34,
    42,  3,  6, 11, 15, 29, 30, 34, 37, 31,  2,  5, 42, 11, 20, 22, 24, 34,  6,
    17, 23, 25, 44,  0, 21, 30, 32, 42];

    values = [
    -0.067865553542687335,  1.530072514424096086,  1.603457298120044117,
    -0.334886938964047698,  1.039090653504955997, -0.217606350143191934,
     0.307061919146703444, -0.249024742513713787,  1.234679146890777846,
    -0.155941035724768945,  0.391894209432449070, -0.195221197898754362,
     0.625190357087625714, -0.532011376808820713, -0.192239517539274762,
    -0.261163645776478603, -0.457014640871582556, -1.565056014150725039,
    -0.303107621351740908,  0.051290355848774699,  0.515246335524848553,
    -0.320575506600239257,  0.012469041361617951, -1.066701398984749583,
     0.023045624425105282,  0.826062790211595455,  0.949221831131022542,
    -0.712004549027422495, -1.064213412889326804, -1.250678906826407477,
     1.526976686733372723,  0.183227263001436963,  0.261406324055382666,
    -0.162337672803827743,  1.242448406390738391,  0.933728162671238482,
    -1.029767543566621146, -0.947960922331432032,  0.350321001356111605,
     0.552783345944550142,  1.260658709120896281,  0.466914435684700035,
     0.135174942099455658, -0.229626450963180490, -1.506159703979718989,
    -0.741106093940411492, -3.029177341404145629,  0.276068253931536167,
    -0.848709379933659025, -1.117638683265208099, -0.029005763708726321,
    -0.209713338388736709, -0.146054634331526184, -0.875729346160017297,
    -1.174212331456816250, -0.507817550278173657,  0.660143141046977688,
    -0.941485770955433732, -0.483815050110121103, -0.274070229932602216,
    -0.084539479817724195,  0.455029556444334349,  1.682103594663178825,
    -0.444627816446985402,  0.443421912904091331,  0.182452167505983420]

    A = SparseMatrixCSC(m, n, colptr .+ 1, rowval .+ 1, vec(values))

    sol = SCS_solve(T, m, n, A, b, c, f, l, q, s, ep, ed, Float64[])
    @test sol.ret_val == 1
end

# Feasible conic problem with power cones
function feasible_pow_conic(T)
    n = 9
    m = 28
    f = 5
    l = 5
    ep = 0
    ed = 0
    q = Int[]
    s = Int[]
    p = [-3.0e-01, 2.5e-01, 7.5e-01, -4.0e-01, 8.7e-01, -1.2e-01]

    b = [
    -0.887386390749058451,  1.868842541924223610, -0.755288651776904296,
     0.000000000000000000,  0.000000000000000000,  0.000000000000000000,
    -0.242379421582613414,  0.000000000000000000,  0.000000000000000000,
     0.000000000000000000,  2.000257252427916743,  0.841870176542910631,
    -1.245982120437818974,  0.644136460056986104, -0.068037985179701416,
     0.041769615282582828,  1.081088773255733271,  1.417941447788496845,
     0.955133254978043800,  2.477002457942629299,  0.326964373865085811,
     0.322926943542406031,  0.765172439731569787,  1.673745381540497679,
     0.056224953164704453,  0.024308325296160227, -0.492458408194795028,
    -0.193643481641372683]

    c = [
     0.581324380640174887,  0.000000000000000000, -1.274914899429569370,
     1.437959547820705897,  0.178499636115030086, -2.834480531039399676,
    -0.465471220509626749,  0.440187271984058437,  1.655006387767208542];

    colptr = [0, 2, 2, 8, 11, 12, 15, 21, 22, 25]

    rowval = [11, 19, 10, 11, 14, 18, 19, 26, 1, 19, 23, 2, 1, 14, 19, 0, 1, 10, 14, 23, 26, 16, 0, 6, 18]

    values = [
    -0.511172207780700494, -0.557093642241281661, -0.322939921204497105,
    -0.002041345349432955,  1.606510961119237413, -0.070499387778693703,
    -0.336705699002853465,  1.122647857944874650,  0.375041023696103593,
     0.415227462723155749, -2.444298897865559539, -2.377454293765433491,
     1.125161817875028225,  0.847648634500925313,  1.557813537123208025,
     0.400486023191097329,  0.728641591773904751,  0.317987915650739417,
     0.268100811901575309, -1.098195387799324019,  0.581667258045274083,
    -0.923489085784077401, -1.341380722378574086, -0.273782415743900387,
     0.147891351014747152]

    A = SparseMatrixCSC(m, n, colptr .+ 1, rowval .+ 1, vec(values))

    sol = SCS_solve(T, m, n, A, b, c, f, l, q, s, ep, ed, p)
    @test sol.ret_val == 1
end