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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 1985-2010 - INRIA - Serge Steer
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution. The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
function [] = bode(varargin)
rhs = size(varargin)
if rhs == 0 then
s = poly(0, "s");
h1 = syslin("c", (s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01));
num = 22801+4406.18*s+382.37*s^2+21.02*s^3+s^4;
den = 22952.25+4117.77*s+490.63*s^2+33.06*s^3+s^4;
h2 = syslin("c", num/den);
bode([h1; h2], 0.01, 100, ["h1"; "h2"]);
return;
end
rad = %f;
if type(varargin($)) == 10 then
if varargin($) == "rad" then
rad = %t;
rhs = rhs-1;
if type(varargin($-1)) == 10 then
comments = varargin($-1);
rhs = rhs-1;
else
comments = [];
end
else
comments = varargin($);
rhs = rhs-1;
end
else
comments = [];
end
fname = "bode"; // For error messages
fmax = [];
discr = %f; // For Shannon limit
if or(typeof(varargin(1)) == ["state-space" "rational"]) then
// sys, fmin, fmax [,pas] or sys, frq
refdim = 1; // for error message
discr = varargin(1).dt<>"c";
if rhs == 1 then // sys
[frq, repf] = repfreq(varargin(1), 1d-3, 1d3);
elseif rhs == 2 then // sys, frq
if size(varargin(2), 2) < 2 then
error(msprintf(_("%s: Wrong size for input argument #%d: A row vector with length>%d expected.\n"), ..
fname, 2, 1))
end
[frq, repf] = repfreq(varargin(1:rhs));
elseif or(rhs == (3:4)) then // sys, fmin, fmax [,pas]
[frq, repf] = repfreq(varargin(1:rhs));
else
error(msprintf(_("%s: Wrong number of input arguments: %d to %d expected.\n"), fname, 1, 5))
end
[phi, d] = phasemag(repf);
if rhs >= 3 then fmax = varargin(3); end
elseif type(varargin(1)) == 1 then
// frq, db, phi [,comments] or frq, repf [,comments]
refdim = 2;
select rhs
case 2 then // frq,repf
frq = varargin(1);
if size(frq, 2) < 2 then
error(msprintf(_("%s: Wrong size for input argument #%d: A row vector with length>%d expected.\n"), ..
fname, 1, 1))
end
if size(frq, 2) <> size(varargin(2), 2) then
error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same column dimensions expected.\n"), ..
fname, 1, 2))
end
[phi, d] = phasemag(varargin(2));
case 3 then // frq, db, phi
[frq, d, phi] = varargin(1:rhs);
if size(frq, 2) <> size(d, 2) then
error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same column dimensions expected.\n"), ..
fname, 1, 2))
end
if size(frq, 2) <> size(phi, 2) then
error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same column dimensions expected.\n"), ..
fname, 1, 3))
end
else
error(msprintf(_("%s: Wrong number of input arguments: %d to %d expected.\n"), fname, 2, 4))
end
else
error(msprintf(_("%s: Wrong type for input argument #%d: Linear dynamical system or row vector of floats expected.\n"),fname,1))
end
frq = frq';
d = d';
phi = phi';
[n, mn] = size(d);
if comments == [] then
hx = 0.48;
else
if size(comments, "*") <> mn then
error(mprintf(_("%s: Incompatible input arguments #%d and #%d: Same number of elements expected.\n"), ...
fname, refdim, rhs+1))
end
hx = 0.43;
end
fig = gcf();
immediate_drawing = fig.immediate_drawing;
fig.immediate_drawing = "off";
sciCurAxes = gca();
axes = sciCurAxes;
wrect = axes.axes_bounds;
// Magnitude
axes.axes_bounds = [wrect(1)+0, wrect(2)+0, wrect(3)*1.0, wrect(4)*hx*0.95];
axes.data_bounds = [min(frq), min(d); max(frq), max(d)];
axes.log_flags = "lnn";
axes.grid = color("lightgrey")*ones(1, 3);
axes.axes_visible = "on";
axes.clip_state = "clipgrf";
if size(d, 2) > 1 & size(frq, 2) == 1 then
xpolys(frq(:, ones(1, mn)), d, 1:mn);
else
xpolys(frq, d, 1:mn);
end
// Set datatips info
e = gce();
for i=1:size(e.children, "*")
e.children(i).display_function = "formatBodeMagTip"
end
if discr & fmax <> [] & max(frq) < fmax then
xpoly(max(frq)*[1; 1], axes.y_ticks.locations([1 $]));
e = gce();
e.foreground = 5;
end
xtitle("", _("Frequency (Hz)"), _("Magnitude (dB)"));
// Phase
axes = newaxes();
axes.axes_bounds = [wrect(1)+0, wrect(2)+wrect(4)*hx, wrect(3)*1.0, wrect(4)*hx*0.95];
axes.data_bounds = [min(frq), min(phi); max(frq), max(phi)];
axes.log_flags = "lnn";
axes.grid = color("lightgrey")*ones(1, 3);
axes.axes_visible = "on";
axes.clip_state = "clipgrf";
if size(phi, 2) > 1 & size(frq, 2) == 1 then
xpolys(frq(:, ones(1, mn)), phi, 1:mn);
else
xpolys(frq, phi, 1:mn);
end
ephi = gce();
// Set datatips info
for i=1:size(ephi.children, "*")
ephi.children(i).display_function = "formatBodePhaseTip";
end
if discr & fmax <> [] & max(frq) < fmax then
xpoly(max(frq)*[1; 1], axes.y_ticks.locations([1 $]));
e = gce();
e.foreground = 5;
end
xtitle("", _("Frequency (Hz)"), _("Phase (degree)"));
// Create legend
if comments <> [] then
c = captions(ephi.children, comments, "lower_caption");
c.background = get(gcf(), "background");
end
fig.immediate_drawing = immediate_drawing;
// Return to the previous scale
set("current_axes", sciCurAxes);
if rad == %t then
// This function modifies the Bode diagrams for a rad/s display instead of Hz.
// h is a hanlde of a figure containing Bode diagrams.
// Ref: http://forge.scilab.org/index.php/p/cpge/source/tree/HEAD/macros/bode_Hz2rad_2.sci
labels = [_("Phase (degree)"); _("Magnitude (dB)")];
pos_h = [9, 5];
for k=1:2
for i=1:size(fig.children(k).children, 1)
if fig.children(k).children(i).type == "Compound"
for j=1:size(fig.children(k).children(i).children, 1)
fig.children(k).children(i).children(j).data(:, 1) = fig.children(k).children(i).children(j).data(:, 1)*2*%pi;
end
// h.children(k).title.text = h.children(k).y_label.text;
xmin1 = fig.children(k).data_bounds(1)*2*%pi;
xmax1 = fig.children(k).data_bounds(2)*2*%pi;
ymin1 = fig.children(k).data_bounds(3);
ymax1 = fig.children(k).data_bounds(4);
rect = [xmin1, ymin1, xmax1, ymax1];
nb_dec = log(xmax1/xmin1)/log(10);
fig.children(k).x_label.text = _("Frequency (rad/s)");
fig.children(k).x_location = "bottom";
fig.children(k).y_label.text = labels(k);
replot(rect, fig.children(k));
end
end
end
end
endfunction
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