/usr/share/octave/packages/odepkg-0.8.5/odepkg_testsuite_pollution.m is in octave-odepkg 0.8.5-1+b2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 | %# Copyright (C) 2007-2012, Thomas Treichl <treichl@users.sourceforge.net>
%# OdePkg - A package for solving ordinary differential equations and more
%#
%# This program is free software; you can redistribute it and/or modify
%# it under the terms of the GNU General Public License as published by
%# the Free Software Foundation; either version 2 of the License, or
%# (at your option) any later version.
%#
%# This program is distributed in the hope that it will be useful,
%# but WITHOUT ANY WARRANTY; without even the implied warranty of
%# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
%# GNU General Public License for more details.
%#
%# You should have received a copy of the GNU General Public License
%# along with this program; If not, see <http://www.gnu.org/licenses/>.
%# -*- texinfo -*-
%# @deftypefn {Function File} {[@var{solution}] =} odepkg_testsuite_pollution (@var{@@solver}, @var{reltol})
%#
%# If this function is called with two input arguments and the first input argument @var{@@solver} is a function handle describing an OdePkg solver and the second input argument @var{reltol} is a double scalar describing the relative error tolerance then return the cell array @var{solution} with performance informations about the POLLUTION testsuite of ordinary differential equations after solving (ODE--test).
%#
%# Run examples with the command
%# @example
%# demo odepkg_testsuite_pollution
%# @end example
%#
%# This function has been ported from the "Test Set for IVP solvers" which is developed by the INdAM Bari unit project group "Codes and Test Problems for Differential Equations", coordinator F. Mazzia.
%# @end deftypefn
%#
%# @seealso{odepkg}
function vret = odepkg_testsuite_pollution (vhandle, vrtol)
if (nargin ~= 2) %# Check number and types of all input arguments
help ('odepkg_testsuite_pollution');
error ('OdePkg:InvalidArgument', ...
'Number of input arguments must be exactly two');
elseif (~isa (vhandle, 'function_handle') || ~isscalar (vrtol))
print_usage;
end
vret{1} = vhandle; %# The handle for the solver that is used
vret{2} = vrtol; %# The value for the realtive tolerance
vret{3} = vret{2}; %# The value for the absolute tolerance
vret{4} = vret{2}; %# The value for the first time step
%# Write a debug message on the screen, because this testsuite function
%# may be called more than once from a loop over all solvers present
fprintf (1, ['Testsuite POLLUTION, testing solver %7s with relative', ...
' tolerance %2.0e\n'], func2str (vret{1}), vrtol); fflush (1);
%# Setting the integration algorithms option values
vstart = 0.0; %# The point of time when solving is started
vstop = 60.0; %# The point of time when solving is stoped
vinit = odepkg_testsuite_pollutioninit; %# The initial values
vopt = odeset ('Refine', 0, 'RelTol', vret{2}, 'AbsTol', vret{3}, ...
'InitialStep', vret{4}, 'Stats', 'on', 'NormControl', 'off', ...
'Jacobian', @odepkg_testsuite_pollutionjac, 'MaxStep', vstop-vstart);
%# Calculate the algorithm, start timer and do solving
tic; vsol = feval (vhandle, @odepkg_testsuite_pollutionfun, ...
[vstart, vstop], vinit, vopt);
vret{12} = toc; %# The value for the elapsed time
vref = odepkg_testsuite_pollutionref; %# Get the reference solution vector
if (exist ('OCTAVE_VERSION') ~= 0)
vlst = vsol.y(end,:);
else
vlst = vsol.y(:,end);
end
vret{5} = odepkg_testsuite_calcmescd (vlst, vref, vret{3}, vret{2});
vret{6} = odepkg_testsuite_calcscd (vlst, vref, vret{3}, vret{2});
vret{7} = vsol.stats.nsteps + vsol.stats.nfailed; %# The value for all evals
vret{8} = vsol.stats.nsteps; %# The value for success evals
vret{9} = vsol.stats.nfevals; %# The value for fun calls
vret{10} = vsol.stats.npds; %# The value for partial derivations
vret{11} = vsol.stats.ndecomps; %# The value for LU decompositions
%# Returns the results for the for the POLLUTION problem
function f = odepkg_testsuite_pollutionfun (t, y, varargin)
f(01,1) = - 0.350 * y(1) + 0.266e2 * y(2) * y(4) + 0.123e5 * y(2) * y(5) + ...
0.165e5 * y(2) * y(11) - 0.900e4 * y(1) * y(11) + 0.220e-1 * y(13) + ...
0.120e5 * y(2) * y(10) - 0.163e5 * y(1) * y(6) + 0.578e1 * y(19) - ...
0.474e-1 * y(1) * y(4) - 0.178e4 * y(1) * y(19) + 0.312e1 * y(20);
f(02,1) = + 0.350 * y(1) - 0.266e2 * y(2) * y(4) - 0.123e5 * y(2) * y(5) - ...
0.165e5 * y(2) * y(11) - 0.120e5 * y(2) * y(10) + 0.210e1 * y(19);
f(03,1) = + 0.350 * y(1) - 0.480e7 * y(3) + 0.175e-1 * y(4) + 0.444e12 * y(16) + 0.578e1 * y(19);
f(04,1) = - 0.266e2 * y(2) * y(4) + 0.480e7 * y(3) - 0.350e-3 * y(4) - ...
0.175e-1 * y(4) - 0.474e-1 * y(1) * y(4);
f(05,1) = - 0.123e5 * y(2) * y(5) + 2*0.860e-3 * y(7) + 0.150e5 * y(6) * y(7) + ...
0.130e-3 * y(9) + 0.188e1 * y(14) + 0.124e4 * y(6) * y(17);
f(06,1) = + 0.123e5 * y(2) * y(5) - 0.150e5 * y(6) * y(7) - 0.240e5 * y(6) * y(9) - ...
0.163e5 * y(1) * y(6) + 2*0.100e9 * y(16) - 0.124e4 * y(6) * y(17);
f(07,1) = - 0.860e-3 * y(7) - 0.820e-3 * y(7) - 0.150e5 * y(6) * y(7) + 0.188e1 * y(14);
f(08,1) = + 0.860e-3 * y(7) + 0.820e-3 * y(7) + 0.150e5 * y(6) * y(7) + 0.130e-3 * y(9);
f(09,1) = - 0.130e-3 * y(9) - 0.240e5 * y(6) * y(9);
f(10,1) = + 0.130e-3 * y(9) + 0.165e5 * y(2) * y(11) - 0.120e5 * y(2) * y(10);
f(11,1) = + 0.240e5 * y(6) * y(9) - 0.165e5 * y(2) * y(11) - 0.900e4 * y(1) * y(11) + ...
0.220e-1 * y(13);
f(12,1) = + 0.165e5 * y(2) * y(11);
f(13,1) = + 0.900e4 * y(1) * y(11) - 0.220e-1 * y(13);
f(14,1) = + 0.120e5 * y(2) * y(10) - 0.188e1 * y(14);
f(15,1) = + 0.163e5 * y(1) * y(6);
f(16,1) = + 0.350e-3 * y(4) - 0.100e9 * y(16) - 0.444e12 * y(16);
f(17,1) = - 0.124e4 * y(6) * y(17);
f(18,1) = + 0.124e4 * y(6) * y(17);
f(19,1) = - 0.210e1 * y(19) - 0.578e1 * y(19) + 0.474e-1 * y(1) * y(4) - ...
0.178e4 * y(1) * y(19) + 0.312e1 * y(20);
f(20,1) = + 0.178e4 * y(1) * y(19) - 0.312e1 * y(20);
%# Returns the INITIAL values for the POLLUTION problem
function vinit = odepkg_testsuite_pollutioninit ()
vinit = [0, 0.2, 0, 0.04, 0, 0, 0.1, 0.3, 0.01, ...
0, 0, 0, 0, 0, 0, 0, 0.007, 0, 0, 0];
%# Returns the JACOBIAN matrix for the POLLUTION problem
function dfdy = odepkg_testsuite_pollutionjac (t, y)
k1 = 0.35e0; k2 = 0.266e2; k3 = 0.123e5; k4 = 0.86e-3;
k5 = 0.82e-3; k6 = 0.15e5; k7 = 0.13e-3; k8 = 0.24e5;
k9 = 0.165e5; k10 = 0.9e4; k11 = 0.22e-1; k12 = 0.12e5;
k13 = 0.188e1; k14 = 0.163e5; k15 = 0.48e7; k16 = 0.35e-3;
k17 = 0.175e-1; k18 = 0.1e9; k19 = 0.444e12; k20 = 0.124e4;
k21 = 0.21e1; k22 = 0.578e1; k23 = 0.474e-1; k24 = 0.178e4;
k25 = 0.312e1;
dfdy(1,1) = -k1 - k10 * y(11) - k14 * y(6) - k23 * y(4) - k24 * y(19);
dfdy(1,11) = -k10 * y(1) + k9 * y(2);
dfdy(1,6) = -k14 * y(1);
dfdy(1,4) = -k23 * y(1) + k2 * y(2);
dfdy(1,19) = -k24 * y(1) + k22;
dfdy(1,2) = k2 * y(4) + k9 * y(11) + k3 * y(5) + k12 * y(10);
dfdy(1,13) = k11;
dfdy(1,20) = k25;
dfdy(1,5) = k3 * y(2);
dfdy(1,10) = k12 * y(2);
dfdy(2,4) = -k2 * y(2);
dfdy(2,5) = -k3 * y(2);
dfdy(2,11) = -k9 * y(2);
dfdy(2,10) = -k12 * y(2);
dfdy(2,19) = k21;
dfdy(2,1) = k1;
dfdy(2,2) = -k2 * y(4) - k3 * y(5) - k9 * y(11) - k12 * y(10);
dfdy(3,1) = k1;
dfdy(3,4) = k17;
dfdy(3,16) = k19;
dfdy(3,19) = k22;
dfdy(3,3) = -k15;
dfdy(4,4) = -k2 * y(2) - k16 - k17 - k23 * y(1);
dfdy(4,2) = -k2 * y(4);
dfdy(4,1) = -k23 * y(4);
dfdy(4,3) = k15;
dfdy(5,5) = -k3 * y(2);
dfdy(5,2) = -k3 * y(5);
dfdy(5,7) = 2d0 * k4 + k6 * y(6);
dfdy(5,6) = k6 * y(7) + k20 * y(17);
dfdy(5,9) = k7;
dfdy(5,14) = k13;
dfdy(5,17) = k20 * y(6);
dfdy(6,6) = -k6 * y(7) - k8 * y(9) - k14 * y(1) - k20 * y(17);
dfdy(6,7) = -k6 * y(6);
dfdy(6,9) = -k8 * y(6);
dfdy(6,1) = -k14 * y(6);
dfdy(6,17) = -k20 * y(6);
dfdy(6,2) = k3 * y(5);
dfdy(6,5) = k3 * y(2);
dfdy(6,16) = 2d0 * k18;
dfdy(7,7) = -k4 - k5 - k6 * y(6);
dfdy(7,6) = -k6 * y(7);
dfdy(7,14) = k13;
dfdy(8,7) = k4 + k5 + k6 * y(6);
dfdy(8,6) = k6 * y(7);
dfdy(8,9) = k7;
dfdy(9,9) = -k7 - k8 * y(6);
dfdy(9,6) = -k8 * y(9);
dfdy(10,10) = -k12 * y(2);
dfdy(10,2) = -k12 * y(10) + k9 * y(11);
dfdy(10,9) = k7;
dfdy(10,11) = k9 * y(2);
dfdy(11,11) = -k9 * y(2) - k10 * y(1);
dfdy(11,2) = -k9 * y(11);
dfdy(11,1) = -k10 * y(11);
dfdy(11,9) = k8 * y(6);
dfdy(11,6) = k8 * y(9);
dfdy(11,13) = k11;
dfdy(12,11) = k9 * y(2);
dfdy(12,2) = k9 * y(11);
dfdy(13,13) = -k11;
dfdy(13,11) = k10 * y(1);
dfdy(13,1) = k10 * y(11);
dfdy(14,14) = -k13;
dfdy(14,10) = k12 * y(2);
dfdy(14,2) = k12 * y(10);
dfdy(15,1) = k14 * y(6);
dfdy(15,6) = k14 * y(1);
dfdy(16,16) = -k18 - k19;
dfdy(16,4) = k16;
dfdy(17,17) = -k20 * y(6);
dfdy(17,6) = -k20 * y(17);
dfdy(18,17) = k20 * y(6);
dfdy(18,6) = k20 * y(17);
dfdy(19,19) = -k21 - k22 - k24 * y(1);
dfdy(19,1) = -k24 * y(19) + k23 * y(4);
dfdy(19,4) = k23 * y(1);
dfdy(19,20) = k25;
dfdy(20,20) = -k25;
dfdy(20,1) = k24 * y(19);
dfdy(20,19) = k24 * y(1);
%# Returns the REFERENCE values for the POLLUTION problem
function y = odepkg_testsuite_pollutionref ()
y(01,1) = 0.56462554800227 * 10^(-1);
y(02,1) = 0.13424841304223 * 10^(+0);
y(03,1) = 0.41397343310994 * 10^(-8);
y(04,1) = 0.55231402074843 * 10^(-2);
y(05,1) = 0.20189772623021 * 10^(-6);
y(06,1) = 0.20189772623021 * 10^(-6);
y(07,1) = 0.77842491189979 * 10^(-1);
y(08,1) = 0.77842491189979 * 10^(+0);
y(09,1) = 0.74940133838804 * 10^(-2);
y(10,1) = 0.16222931573015 * 10^(-7);
y(11,1) = 0.11358638332570 * 10^(-7);
y(12,1) = 0.22305059757213 * 10^(-2);
y(13,1) = 0.20871628827986 * 10^(-3);
y(14,1) = 0.13969210168401 * 10^(-4);
y(15,1) = 0.89648848568982 * 10^(-2);
y(16,1) = 0.43528463693301 * 10^(-17);
y(17,1) = 0.68992196962634 * 10^(-2);
y(18,1) = 0.10078030373659 * 10^(-3);
y(19,1) = 0.17721465139699 * 10^(-5);
y(20,1) = 0.56829432923163 * 10^(-4);
%!demo
%! %% vsolver = {@ode23, @ode45, @ode54, @ode78, ...
%! %% @odebda, @oders, @ode2r, @ode5r, @odesx};
%! vsolver = {@odebda, @oders, @ode2r, @ode5r, @odesx};
%! for vcnt=1:length (vsolver)
%! poll{vcnt,1} = odepkg_testsuite_pollution (vsolver{vcnt}, 1e-7);
%! end
%! poll
%# Local Variables: ***
%# mode: octave ***
%# End: ***
|