📄 normvect.m
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function [x_norm,x_mag] = normvect(x)
% [x_norm, x_mag] = normvect(x);
%
% Function to normalize n-dimensional vectors to have length of 1.
%
% Input:
% x - vector to be normalized (n x m)
% Output:
% x_norm - normalized vector, magnitude = 1, same direction as x (n x m)
% x_mag - magnitude of the vector (n x 1)
% Written by: Jimmy LaMance 10/25/96
% Copyright (c) 1998 by Constell, Inc.
% functions called: none
%%%%% BEGIN VARIABLE CHECKING CODE %%%%%
% No error checking. Inputs can be vector, scalar, positive, or negative.
%%%% END VARIABLE CHECKING CODE %%%%%
%%%%% BEGIN ALGORITHM CODE %%%%%
% initialize the output variable to be all zeros
x_norm = zeros(size(x));
sum = zeros(size(x,1),1);
for i = 1:size(x,2)
sum = sum + x(:,i).^2;
end % for i = 1:size(x,2)
x_mag = sqrt(sum);
% find all of the magnitudes with non-zero length
I_non_zero = find(x_mag ~= 0);
if any(I_non_zero)
for i = 1:size(x,2)
x_norm(I_non_zero,i) = x(I_non_zero,i) ./ x_mag(I_non_zero);
end % for i = 1:size(x,2)
end % if any(I_non_zero)
%%%%% END ALGORITHM CODE %%%%%
% end of NORMVECT
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