## Copyright (C) 2009-2016   Lukas F. Reichlin
##
## This file is part of LTI Syncope.
##
## LTI Syncope 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 3 of the License, or
## (at your option) any later version.
##
## LTI Syncope 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 LTI Syncope.  If not, see <http://www.gnu.org/licenses/>.

## -*- texinfo -*-
## @deftypefn {Function File} {} bodemag (@var{sys})
## @deftypefnx {Function File} {} bodemag (@var{sys1}, @var{sys2}, @dots{}, @var{sysN})
## @deftypefnx {Function File} {} bodemag (@var{sys1}, @var{sys2}, @dots{}, @var{sysN}, @var{w})
## @deftypefnx {Function File} {} bodemag (@var{sys1}, @var{'style1'}, @dots{}, @var{sysN}, @var{'styleN'})
## @deftypefnx {Function File} {[@var{mag}, @var{w}] =} bodemag (@var{sys})
## @deftypefnx {Function File} {[@var{mag}, @var{w}] =} bodemag (@var{sys}, @var{w})
## Bode magnitude diagram of frequency response.  If no output arguments are given,
## the response is printed on the screen.
##
## @strong{Inputs}
## @table @var
## @item sys
## @acronym{LTI} system.  Must be a single-input and single-output (SISO) system.
## @item w
## Optional vector of frequency values.  If @var{w} is not specified,
## it is calculated by the zeros and poles of the system.
## Alternatively, the cell @code{@{wmin, wmax@}} specifies a frequency range,
## where @var{wmin} and @var{wmax} denote minimum and maximum frequencies
## in rad/s.
## @item 'style'
## Line style and color, e.g. 'r' for a solid red line or '-.k' for a dash-dotted
## black line.  See @command{help plot} for details.
## @end table
##
## @strong{Outputs}
## @table @var
## @item mag
## Vector of magnitude.  Has length of frequency vector @var{w}.
## @item w
## Vector of frequency values used.
## @end table
##
## @seealso{bode, nichols, nyquist, sigma}
## @end deftypefn

## Author: Lukas Reichlin <lukas.reichlin@gmail.com>
## Created: November 2009
## Version: 1.0

function [mag_r, w_r] = bodemag (varargin)

  if (nargin == 0)
    print_usage ();
  endif

  names = arrayfun (@inputname, 1:nargin, 'uniformoutput', false);

  [H, w, sty, sys_idx] = __frequency_response__ ("bodemag", varargin, nargout, names);

  numsys = length (sys_idx);

  H = cellfun (@reshape, H, {[]}, {1}, "uniformoutput", false);
  mag = cellfun (@abs, H, "uniformoutput", false);

  if (! nargout)

    ## plot
    mag_db = cellfun (@mag2db, mag, "uniformoutput", false);

    mag_args = horzcat (cellfun (@horzcat, w, mag_db, sty, "uniformoutput", false){:});

    semilogx (mag_args{:})
    axis ("tight")
    ylim (__axis_margin__ (ylim))
    grid ("on")
    title ("Bode Magnitude Diagram")
    xlabel ("Frequency [rad/s]")
    ylabel ("Magnitude [dB]")

  else

    ## no plotting, assign values to the output parameters
    mag_r = mag{1};
    w_r = w{1};

  endif

endfunction

%!demo
%! s = tf('s');
%! G = s*(1 + 0.5*s)/(s^2 + 0.2*s + 1)/(1+10*s);
%! bodemag(G);
