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AUDSPACEBW - Auditory scale points specified by bandwidth

Program code:

function [y,n] = audspacebw(fmin,fmax,varargin)
%AUDSPACEBW  Auditory scale points specified by bandwidth
%   Usage: y=audspacebw(fmin,fmax,bw,hitme);
%          y=audspacebw(fmin,fmax,bw);
%          y=audspacebw(fmin,fmax);
%          [y,n]=audspacebw(...);
%
%   AUDSPACEBW(fmin,fmax,bw,scale) computes a vector containing values
%   equistantly scaled between frequencies fmin and fmax on the
%   selected auditory scale.  All frequencies are specified in Hz.The
%   distance between two consecutive values is bw on the selected scale,
%   and the points will be centered on the scale between fmin and fmax.
%
%   See the help on FREQTOAUD to get a list of the supported values of the
%   scale parameter.
%  
%   AUDSPACEBW(fmin,fmax,bw,hitme,scale) will do as above, but one of
%   the points is quaranteed to be the frequency hitme.
%
%   [y,n]=AUDSPACEBW(...) additionally returns the number of points n in
%   the output vector y.
%
%   See also: freqtoaud, audspace, audfiltbw
%
%   Url: http://ltfat.github.io/doc/auditory/audspacebw.html

% Copyright (C) 2005-2023 Peter L. Soendergaard <peter@sonderport.dk> and others.
% This file is part of LTFAT version 2.6.0
%
% 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 3 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/>.
  
%   AUTHOR : Peter L. Søndergaard
  
% ------ Checking of input parameters ---------
  
if nargin<2
  error('%s: Too few input parameters.',upper(mfilename));
end;

if ~isnumeric(fmin) || ~isscalar(fmin) || fmin<0
  error('%s: fmin must be a non-negative scalar.',upper(mfilename));
end;

if ~isnumeric(fmax) || ~isscalar(fmax) || fmax<0
  error('%s: fmax must be a non-negative scalar.',upper(mfilename));
end;

if fmin>fmax
  error('%s: fmin must be less than or equal to fmax.',upper(mfilename));
end;

definput.import={'freqtoaud'};
definput.keyvals.hitme=[];
definput.keyvals.bw=1;

[flags,kv,bw]=ltfatarghelper({'bw','hitme'},definput,varargin);

if ~isnumeric(bw) || ~isscalar(bw) || bw<=0 
  error('%s: bw must be a positive scalar.',upper(mfilename));
end;

  
%% ------ Computation --------------------------

if isempty(kv.hitme)
  % Convert the frequency limits to auds.
  audlimits = freqtoaud([fmin,fmax],flags.audscale);
  audrange  = audlimits(2)-audlimits(1);

  % Calculate number of points, excluding final point
  n         = floor(audrange/bw);

  % The remainder is calculated in order to center the points
  % correctly between fmin and fmax.
  remainder = audrange-n*bw;

  audpoints = audlimits(1)+(0:n)*bw+remainder/2;
  
  % Add the final point
  n=n+1;  
  
else
    
  % Convert the frequency limits to auds.
  audlimits    = freqtoaud([fmin,fmax,kv.hitme],flags.audscale);
  audrangelow  = audlimits(3)-audlimits(1);
  audrangehigh = audlimits(2)-audlimits(3);

  % Calculate number of points, exluding final point.
  nlow = floor(audrangelow/bw);
  nhigh = floor(audrangehigh/bw);
  
  audpoints=(-nlow:nhigh)*bw+audlimits(3);
  n=nlow+nhigh+1;
end;

y = audtofreq(audpoints,flags.audscale);