// 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