%% (Internal) Convert an input range to an output range with a soft function
%
% Sigmoid function mapping an input range to an output range:
% transition_sharpnes: [0-1] 0: soft trans; 1: hard transition
%
% y = soft_range_conversion( x, input_range, output_range, transition_sharpnes )
%
%
% Arguments:
%
% + x: data within input_range
%
% + input_range, output_range: the tanges to convert [min max]
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% + transition_sharpnes: progress_bar handle
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% Output:
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% + y: data converted to output_range.
%
% Examples:
%
% a = linspace(200, 1000, 1000);
% plot(a, soft_range_conversion(a, [300 600], [0 10], 0.2) )
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%
% See also
%
% Author: Mariano Llamedo Soria (llamedom at {electron.frba.utn.edu.ar; unizar.es}
% Version: 0.1 beta
% Birthdate: 17/12/2010
% Last update: 17/12/2010
% Copyright 2008-2015
%
function y = soft_range_conversion( x, input_range, output_range, transition_sharpnes )
if( nargin < 4 || isempty(transition_sharpnes) )
transition_sharpnes = 1;
end
a = 10^(5*transition_sharpnes) / diff(input_range);
b = - a * (input_range(1) + diff(input_range)/2);
y = output_range(1) + diff(output_range) * logit_function(a*x+b);