function t_opf_mips_sc(quiet)
%T_OPF_MIPS_SC  Tests for step-controlled MIPS-based AC optimal power flow.

%   MATPOWER
%   Copyright (c) 2004-2016 by Power System Engineering Research Center (PSERC)
%   by Ray Zimmerman, PSERC Cornell
%
%   This file is part of MATPOWER.
%   Covered by the 3-clause BSD License (see LICENSE file for details).
%   See http://www.pserc.cornell.edu/matpower/ for more info.

if nargin < 1
    quiet = 0;
end

linsolvers = {'\'};
if have_fcn('pardiso')
    linsolvers{end+1} = 'PARDISO';
end

num_tests = 101;

t_begin(2*num_tests, quiet);

[PQ, PV, REF, NONE, BUS_I, BUS_TYPE, PD, QD, GS, BS, BUS_AREA, VM, ...
    VA, BASE_KV, ZONE, VMAX, VMIN, LAM_P, LAM_Q, MU_VMAX, MU_VMIN] = idx_bus;
[GEN_BUS, PG, QG, QMAX, QMIN, VG, MBASE, GEN_STATUS, PMAX, PMIN, ...
    MU_PMAX, MU_PMIN, MU_QMAX, MU_QMIN, PC1, PC2, QC1MIN, QC1MAX, ...
    QC2MIN, QC2MAX, RAMP_AGC, RAMP_10, RAMP_30, RAMP_Q, APF] = idx_gen;
[F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, RATE_C, ...
    TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST, ...
    ANGMIN, ANGMAX, MU_ANGMIN, MU_ANGMAX] = idx_brch;
[PW_LINEAR, POLYNOMIAL, MODEL, STARTUP, SHUTDOWN, NCOST, COST] = idx_cost;

casefile = 't_case9_opf';
if quiet
    verbose = 0;
else
    verbose = 0;
end
if have_fcn('octave')
    if have_fcn('octave', 'vnum') >= 4
        file_in_path_warn_id = 'Octave:data-file-in-path';
    else
        file_in_path_warn_id = 'Octave:load-file-in-path';
    end
    s1 = warning('query', file_in_path_warn_id);
    warning('off', file_in_path_warn_id);
end

mpopt = mpoption('opf.violation', 1e-6, 'mips.gradtol', 1e-8, ...
        'mips.comptol', 1e-8, 'mips.costtol', 1e-9);
mpopt = mpoption(mpopt, 'out.all', 0, 'verbose', verbose, 'opf.ac.solver', 'MIPS', 'mips.step_control', 1);

for k = 1:length(linsolvers)
    mpopt = mpoption(mpopt, 'mips.linsolver', linsolvers{k});
    t0 = sprintf('MIPS-sc (%s): ', linsolvers{k});

    %% set up indices
    ib_data     = [1:BUS_AREA BASE_KV:VMIN];
    ib_voltage  = [VM VA];
    ib_lam      = [LAM_P LAM_Q];
    ib_mu       = [MU_VMAX MU_VMIN];
    ig_data     = [GEN_BUS QMAX QMIN MBASE:APF];
    ig_disp     = [PG QG VG];
    ig_mu       = (MU_PMAX:MU_QMIN);
    ibr_data    = (1:ANGMAX);
    ibr_flow    = (PF:QT);
    ibr_mu      = [MU_SF MU_ST];
    ibr_angmu   = [MU_ANGMIN MU_ANGMAX];

    %% get solved AC power flow case from MAT-file
    load soln9_opf;     %% defines bus_soln, gen_soln, branch_soln, f_soln

    %% run OPF
    t = t0;
    [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt);
    t_ok(success, [t 'success']);
    t_is(f, f_soln, 3, [t 'f']);
    t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
    t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
    t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
    t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
    t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
    t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
    t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
    t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
    t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
    t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);

    %% run with automatic conversion of single-block pwl to linear costs
    t = [t0 '(single-block PWL) : '];
    mpc = loadcase(casefile);
    mpc.gencost(3, NCOST) = 2;
    [r, success] = runopf(mpc, mpopt);
    [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
    t_ok(success, [t 'success']);
    t_is(f, f_soln, 3, [t 'f']);
    t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
    t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
    t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
    t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
    t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
    t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
    t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
    t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
    t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
    t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
    xr = [r.var.val.Va;r.var.val.Vm;r.var.val.Pg;r.var.val.Qg;0;r.var.val.y];
    t_is(r.x, xr, 8, [t 'check on raw x returned from OPF']);

    %% get solved AC power flow case from MAT-file
    load soln9_opf_Plim;       %% defines bus_soln, gen_soln, branch_soln, f_soln

    %% run OPF with active power line limits
    t = [t0 '(P line lim) : '];
    mpopt1 = mpoption(mpopt, 'opf.flow_lim', 'P');
    [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(casefile, mpopt1);
    t_ok(success, [t 'success']);
    t_is(f, f_soln, 3, [t 'f']);
    t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
    t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
    t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
    t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
    t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
    t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
    t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
    t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
    t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
    t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);

    %%-----  test OPF with quadratic gen costs moved to generalized costs  -----
    mpc = loadcase(casefile);
    mpc.gencost = [
        2   1500    0   3   0.11    5   0;
        2   2000    0   3   0.085   1.2 0;
        2   3000    0   3   0.1225  1   0;
    ];
    [baseMVA, bus_soln, gen_soln, gencost, branch_soln, f_soln, success, et] = runopf(mpc, mpopt);
    branch_soln = branch_soln(:,1:MU_ST);

    A = sparse(0,0);
    l = [];
    u = [];
    nb = size(mpc.bus, 1);      % number of buses
    ng = size(mpc.gen, 1);      % number of gens
    thbas = 1;                thend    = thbas+nb-1;
    vbas     = thend+1;       vend     = vbas+nb-1;
    pgbas    = vend+1;        pgend    = pgbas+ng-1;
    qgbas    = pgend+1;       qgend    = qgbas+ng-1;
    nxyz = 2*nb + 2*ng;
    N = sparse((1:ng)', (pgbas:pgend)', mpc.baseMVA * ones(ng,1), ng, nxyz);
    fparm = ones(ng,1) * [ 1 0 0 1 ];
    [junk, ix] = sort(mpc.gen(:, 1));
    H = 2 * spdiags(mpc.gencost(ix, 5), 0, ng, ng);
    Cw = mpc.gencost(ix, 6);
    mpc.gencost(:, 5:7) = 0;

    %% run OPF with quadratic gen costs moved to generalized costs
    t = [t0 'w/quadratic generalized gen cost : '];
    [r, success] = opf(mpc, A, l, u, mpopt, N, fparm, H, Cw);
    [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
    t_ok(success, [t 'success']);
    t_is(f, f_soln, 3, [t 'f']);
    t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
    t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
    t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
    t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
    t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
    t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
    t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
    t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
    t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
    t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
    t_is(r.cost.usr, f, 12, [t 'user cost']);

    %%-----  run OPF with extra linear user constraints & costs  -----
    %% single new z variable constrained to be greater than or equal to
    %% deviation from 1 pu voltage at bus 1, linear cost on this z
    %% get solved AC power flow case from MAT-file
    load soln9_opf_extras1;   %% defines bus_soln, gen_soln, branch_soln, f_soln
    A = sparse([1;1;2;2],[10;25;10;25],[-1;1;1;1],2,25);
    u = [Inf; Inf];
    l = [-1; 1];

    N = sparse(1, 25, 1, 1, 25);    %% new z variable only
    fparm = [1 0 0 1];              %% w = r = z
    H = sparse(1,1);                %% no quadratic term
    Cw = 100;

    t = [t0 'w/extra constraints & costs 1 : '];
    [r, success] = opf(casefile, A, l, u, mpopt, N, fparm, H, Cw);
    [f, bus, gen, branch] = deal(r.f, r.bus, r.gen, r.branch);
    t_ok(success, [t 'success']);
    t_is(f, f_soln, 3, [t 'f']);
    t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
    t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
    t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
    t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
    t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
    t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
    t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
    t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
    t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
    t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
    t_is(r.var.val.z, 0.025419, 6, [t 'user variable']);
    t_is(r.cost.usr, 2.5419, 4, [t 'user cost']);

    %%-----  test OPF with capability curves  -----
    mpc = loadcase('t_case9_opfv2');
    %% remove angle diff limits
    mpc.branch(1, ANGMAX) = 360;
    mpc.branch(9, ANGMIN) = -360;

    %% get solved AC power flow case from MAT-file
    load soln9_opf_PQcap;   %% defines bus_soln, gen_soln, branch_soln, f_soln
    
    %% run OPF with capability curves
    t = [t0 'w/capability curves : '];
    [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
    t_ok(success, [t 'success']);
    t_is(f, f_soln, 3, [t 'f']);
    t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
    t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
    t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
    t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
    t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
    t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
    t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
    t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
    t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
    t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);

    %%-----  test OPF with angle difference limits  -----
    mpc = loadcase('t_case9_opfv2');
    %% remove capability curves
    mpc.gen(2:3, [PC1, PC2, QC1MIN, QC1MAX, QC2MIN, QC2MAX]) = zeros(2,6);

    %% get solved AC power flow case from MAT-file
    load soln9_opf_ang;   %% defines bus_soln, gen_soln, branch_soln, f_soln
    
    %% run OPF with angle difference limits
    t = [t0 'w/angle difference limits : '];
    [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt);
    t_ok(success, [t 'success']);
    t_is(f, f_soln, 3, [t 'f']);
    t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
    t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
    t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
    t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  1, [t 'bus mu']);
    t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
    t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
    t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
    t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
    t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
    t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
    t_is(branch(:,ibr_angmu ), branch_soln(:,ibr_angmu ),  2, [t 'branch angle mu']);

    %%-----  test OPF with ignored angle difference limits  -----
    %% get solved AC power flow case from MAT-file
    load soln9_opf;   %% defines bus_soln, gen_soln, branch_soln, f_soln

    %% run OPF with ignored angle difference limits
    t = [t0 'w/ignored angle difference limits : '];
    mpopt1 = mpoption(mpopt, 'opf.ignore_angle_lim', 1);
    [baseMVA, bus, gen, gencost, branch, f, success, et] = runopf(mpc, mpopt1);
    %% ang limits are not in this solution data, so let's remove them
    branch(1, ANGMAX) = 360;
    branch(9, ANGMIN) = -360;
    t_ok(success, [t 'success']);
    t_is(f, f_soln, 3, [t 'f']);
    t_is(   bus(:,ib_data   ),    bus_soln(:,ib_data   ), 10, [t 'bus data']);
    t_is(   bus(:,ib_voltage),    bus_soln(:,ib_voltage),  3, [t 'bus voltage']);
    t_is(   bus(:,ib_lam    ),    bus_soln(:,ib_lam    ),  3, [t 'bus lambda']);
    t_is(   bus(:,ib_mu     ),    bus_soln(:,ib_mu     ),  2, [t 'bus mu']);
    t_is(   gen(:,ig_data   ),    gen_soln(:,ig_data   ), 10, [t 'gen data']);
    t_is(   gen(:,ig_disp   ),    gen_soln(:,ig_disp   ),  3, [t 'gen dispatch']);
    t_is(   gen(:,ig_mu     ),    gen_soln(:,ig_mu     ),  3, [t 'gen mu']);
    t_is(branch(:,ibr_data  ), branch_soln(:,ibr_data  ), 10, [t 'branch data']);
    t_is(branch(:,ibr_flow  ), branch_soln(:,ibr_flow  ),  3, [t 'branch flow']);
    t_is(branch(:,ibr_mu    ), branch_soln(:,ibr_mu    ),  2, [t 'branch mu']);
end

if ~have_fcn('pardiso')
    t_skip(num_tests, 'PARDISO linear solver not available');
end

if have_fcn('octave')
    warning(s1.state, file_in_path_warn_id);
end

t_end;
