function y = normpdf(x,mu,sigma)
%NORMPDF Normal probability density function (pdf).
%   Y = NORMPDF(X,MU,SIGMA) Returns the normal pdf with mean, MU, 
%   and standard deviation, SIGMA, at the values in X. 
%
%   The size of Y is the common size of the input arguments. A scalar input  
%   functions as a constant matrix of the same size as the other inputs.     
%
%   Default values for MU and SIGMA are 0 and 1 respectively.

%   References:
%      [1]  M. Abramowitz and I. A. Stegun, "Handbook of Mathematical
%      Functions", Government Printing Office, 1964, 26.1.26.

%   Copyright (c) 1993-96 by The MathWorks, Inc.
%   $Revision: 2.4 $  $Date: 1996/02/21 18:34:00 $

if nargin < 3 
    sigma = 1;
end

if nargin < 2;
    mu = 0;
end

if nargin < 1 
    error("Requires at least one input argument.");
end

[errorcode x mu sigma] = distchck(3,x,mu,sigma);

if errorcode > 0
    error("Requires non-scalar arguments to match in size.");
end

%   Initialize Y to zero.
y = zeros(size(x));

k = find(sigma > 0);
if any(k)
    xn = (x(k) - mu(k)) ./ sigma(k);
    y(k) = exp(-0.5 * xn .^2) ./ (sqrt(2*pi) .* sigma(k));
end

% Return NaN if SIGMA is negative or zero.
k1 = find(sigma <= 0);
if k1~=[]
if any(k1)
    tmp   = NaN;
    y(k1) = tmp(ones(size(k1))); 
end
end
end