function t_makePTDF(quiet)
%T_MAKEPTDF  Tests for makePTDF().

%   MATPOWER
%   $Id: t_makePTDF.m,v 1.7 2009/12/04 21:17:11 ray Exp $
%   by Ray Zimmerman, PSERC Cornell
%   Copyright (c) 2006 by Power System Engineering Research Center (PSERC)
%   See http://www.pserc.cornell.edu/matpower/ for more info.

if nargin < 1
    quiet = 0;
end

ntests = 24;
t_begin(ntests, quiet);

casefile = 't_case9_opf';
if quiet
    verbose = 0;
else
    verbose = 0;
end

[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;
[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;
[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;

if have_fcn('bpmpd') || have_fcn('quadprog') || have_fcn('qp')
	%% load case
	mpopt = mpoption('OUT_ALL', 0, 'VERBOSE', verbose);
	[baseMVA, bus, gen, gencost, branch, f, success, et] = ...
		rundcopf(casefile, mpopt);
	[i2e, bus, gen, branch] = ext2int(bus, gen, branch);
	nb  = size(bus, 1);
	nbr = size(branch, 1);
	ng  = size(gen, 1);
	
	%% compute injections and flows
	Cg = sparse(gen(:, GEN_BUS), (1:ng)', ones(ng, 1), nb, ng);
	Pg = Cg * gen(:, PG);
	Pd = bus(:, PD);
	P  = Pg - Pd;
	ig = find(P > 0);
	il = find(P <= 0);
	F  = branch(:, PF);
	
	%% create corresponding slack distribution matrices
	e1 = zeros(nb, 1);  e1(1) = 1;
	e4 = zeros(nb, 1);  e4(4) = 1;
	D1  = eye(nb, nb) - e1 * ones(1, nb);
	D4  = eye(nb, nb) - e4 * ones(1, nb);
	Deq = eye(nb, nb) - ones(nb, 1) / nb * ones(1, nb);
	Dg  = eye(nb) - Pd/sum(Pd) * ones(1, nb);
	Dd  = eye(nb) - Pg/sum(Pg) * ones(1, nb);
	
	%% create some PTDF matrices
	H1  = makePTDF(baseMVA, bus, branch, 1);
	H4  = makePTDF(baseMVA, bus, branch, 4);
	Heq = makePTDF(baseMVA, bus, branch, ones(nb, 1));
	Hg  = makePTDF(baseMVA, bus, branch, Pd);
	Hd  = makePTDF(baseMVA, bus, branch, Pg);
	
	%% matrices get properly transformed by slack dist matrices
	t_is(H1,  H1 * D1, 8,  'H1  == H1 * D1');
	t_is(H4,  H1 * D4, 8,  'H4  == H1 * D4');
	t_is(Heq, H1 * Deq, 8, 'Heq == H1 * Deq');
	t_is(Hg,  H1 * Dg, 8,  'Hg  == H1 * Dg');
	t_is(Hd,  H1 * Dd, 8,  'Hd  == H1 * Dd');
	t_is(H1,  Heq * D1, 8,  'H1  == Heq * D1');
	t_is(H4,  Heq * D4, 8,  'H4  == Heq * D4');
	t_is(Heq, Heq * Deq, 8, 'Heq == Heq * Deq');
	t_is(Hg,  Heq * Dg, 8,  'Hg  == Heq * Dg');
	t_is(Hd,  Heq * Dd, 8,  'Hd  == Heq * Dd');
	t_is(H1,  Hg * D1, 8,  'H1  == Hg * D1');
	t_is(H4,  Hg * D4, 8,  'H4  == Hg * D4');
	t_is(Heq, Hg * Deq, 8, 'Heq == Hg * Deq');
	t_is(Hg,  Hg * Dg, 8,  'Hg  == Hg * Dg');
	t_is(Hd,  Hg * Dd, 8,  'Hd  == Hg * Dd');
	
	%% PTDFs can reconstruct flows
	t_is(F,  H1 * P,  3,  'Flow == H1  * P');
	t_is(F,  H4 * P,  3,  'Flow == H4  * P');
	t_is(F,  Heq * P, 3,  'Flow == Heq * P');
	t_is(F,  Hg * P,  3,  'Flow == Hg  * P');
	t_is(F,  Hd * P,  3,  'Flow == Hd  * P');
	
	%% other
	t_is(F,  Hg * Pg,  3,  'Flow == Hg  * Pg');
	t_is(F,  Hd * (-Pd),  3,  'Flow == Hd  * (-Pd)');
	t_is(zeros(nbr,1),  Hg * (-Pd),  3,  'zeros == Hg  * (-Pd)');
	t_is(zeros(nbr,1),  Hd * Pg,  3,  'zeros == Hd  * Pg');
else
    t_skip(ntests, 'QP solver (BPMPD_MEX or Optimization Toolbox) not available');
end

t_end;
