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## Copyright (C) 2011-2025 L. Markowsky <lmarkowsky@gmail.com>
##
## This file is part of the fuzzy-logic-toolkit.
##
## The fuzzy-logic-toolkit 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.
##
## The fuzzy-logic-toolkit 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 the fuzzy-logic-toolkit; see the file COPYING. If not,
## see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{y} =} evalmf_private (@var{x}, @var{param}, @var{mf_type})
## @deftypefnx {Function File} {@var{y} =} evalmf_private (@var{x}, @var{param}, @var{mf_type}, @var{hedge})
## @deftypefnx {Function File} {@var{y} =} evalmf_private (@var{x}, @var{param}, @var{mf_type}, @var{hedge}, @var{not_flag})
## @deftypefnx {Function File} {@var{y} =} evalmf_private (@var{[x1 x2 ... xn]}, @var{[param1 ... ]}, '<@var{mf_type}>')
## @deftypefnx {Function File} {@var{y} =} evalmf_private (@var{[x1 x2 ... xn]}, @var{[param1 ... ]}, '<@var{mf_type}>', @var{hedge})
## @deftypefnx {Function File} {@var{y} =} evalmf_private (@var{[x1 x2 ... xn]}, @var{[param1 ... ]}, '<@var{mf_type}>', @var{hedge}, @var{not_flag})
##
## This function localizes the membership function evaluation without the
## parameter tests. It is called by evalmf and plotmf. For more information,
## see the comment at the top of evalmf.m.
##
## @end deftypefn
## Author: L. Markowsky
## Keywords: fuzzy-logic-toolkit fuzzy membership-function evaluate
## Directory: fuzzy-logic-toolkit/inst/private/
## Filename: evalmf_private.m
## Last-Modified: 3 Sep 2012
function y = evalmf_private (x, params, mf_type, hedge = 0, ...
not_flag = false)
## Calculate and return the y values of the membership function on
## the domain x. First, get the value of the membership function
## without correcting for the hedge and not_flag. Then, for non-linear
## functions, adjust the function values for non-zero hedge and
## not_flag.
switch (mf_type)
case 'constant'
y = eval_constant (x, params);
if (not_flag)
y = 1 - y;
endif
case 'linear'
y = eval_linear (x, params);
otherwise
y = str2func (mf_type) (x, params);
if (hedge != 0)
y = y .^ hedge;
endif
if (not_flag)
y = 1 - y;
endif
endswitch
endfunction
##----------------------------------------------------------------------
## Function: eval_constant
## Purpose: Return the y-values corresponding to the x-values in
## the domain for the constant function specified by the
## parameter c.
##----------------------------------------------------------------------
function y = eval_constant (x, c)
y = zeros (length (x));
delta = x(2) - x(1);
y_val = @(x_val) ((abs (c - x_val) < delta) * 1);
y = arrayfun (y_val, x);
endfunction
##----------------------------------------------------------------------
## Function: eval_linear
## Purpose: For the parameters [a ... c]), return the y-values
## corresponding to the linear function y = a*x + c, where x
## takes on the the x-values in the domain. The remaining
## coefficients in the parameter list are not used -- this
## creates a two-dimensional intersection of the linear output
## membership function suitable for display together with
## other membership functions, but does not fully represent
## the output membership function.
##----------------------------------------------------------------------
function y = eval_linear (x, params)
if (length (params) == 1)
a = 0;
c = params;
else
a = params(1);
c = params(length (params));
endif
y = zeros (length (x));
y_val = @(x_val) (a * x_val + c);
y = arrayfun (y_val, x);
endfunction
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