📄 randm.m
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function [R,Ri] = randm(num, rd, sets)
% randm - mixing random numbers from different distributions
%
% FORMAT: [R, Ri] = randm(num, rd [, sets])
%
% Input Fields:
%
% num 1x1 double, number of elements (M)
% rd 1xN struct with specification of distributions (N)
% .dform 1xD cell array with distribution type (norm|uni)
% .dmean 1xD double array
% .dstd 1xD standard deviation (lim->N=Inf)
% .perc 1xD double array, percentage weight (sum := 1)
% .rfix 1x1 double [0...1], percentages random (0) or fix (1)
% sets 1xP struct with specification of sets (P)
% .rf correlation factors
% .ri correlation reference indices (to other sets)
% .rl correlation lags (zeros for no lag)
%
% Output Fields:
%
% R MxNxP double array, with M = number of elements,
% N = number of distributions, P = number of sets
% Ri equally sized array with distribution index
%
% See also rand, randn
% Version: v0.5c
% Build: 6120415
% Date: Dec-04 2006, 3:15 PM CET
% Author: Jochen Weber, Brain Innovation, B.V., Maastricht, NL
% URL/Info: http://wiki.brainvoyager.com/BVQXtools
% argument check
if nargin < 2 || ...
numel(num) ~= 1 || ...
~isstruct(rd)
error( ...
'BVQXtools:BadArgument', ...
'Bad or too few argument(s) specified.' ...
);
end
% defaults
if nargin < 3 || ...
~isstruct(sets) || ...
~isfield(sets, 'rf') || ...
~isfield(sets, 'ri')
sets = struct('rf', [], 'ri', []);
end
% factor to scale UDF random numbers to S=1
FUNI = 3.464246;
rs = numel(rd);
ss = numel(sets);
% reserve memory for output
R = zeros([num, rs, ss]);
Ri = zeros(size(R));
% first pass
for rc = 1:rs
if ~iscell(rd(rc).dform)
rd(rc).dform = {rd(rc).dform};
end
rd(rc).perc = rd(rc).perc(:)' / (sum(rd(rc).perc(:))+eps*eps);
rd(rc).pers = [0, cumsum(rd(rc).perc)];
rd(rc).pers(end) = 1+eps;
end
for sc = 1:ss
if ~isfield(sets(sc), 'rl') || ...
numel(sets(sc).rl) ~= numel(sets(sc).rf)
sets(sc).rl = zeros(1, numel(sets(sc).rf));
end
end
% second pass
for sc = 1:ss
for rc = 1:rs
if rd(rc).rfix >= 0 && ...
rd(rc).rfix <= 1
Rfix = rd(rc).rfix;
else
Rfix = 0;
end
Rprt = rand([num,1]);
for dc = 1:length(rd(rc).dform)
switch lower(rd(rc).dform{dc}), case {'n', 'norm', 'normal'}
rp = randn([num,1]);
case {'u', 'uni', 'uniform'}
rp = FUNI * (rand([num,1]) - 0.5);
otherwise
end
Rfac = rand([num,1]);
R(:,rc,sc) = R(:,rc,sc) + ...
rd(rc).dmean(dc) * (Rprt >= rd(rc).pers(dc) & Rprt < rd(rc).pers(dc+1)) + ...
rd(rc).dstd(dc) * (rp .* (Rfac * (1-Rfix) + (Rprt >= rd(rc).pers(dc) & Rprt < rd(rc).pers(dc+1)) * Rfix));
Ri(Rprt >= rd(rc).pers(dc) & Rprt <=rd(rc).pers(dc+1),rc,sc) = dc;
end
end
if sc > 1
mT = mean(R(:,:,sc), 2);
sT = std(R(:,:,sc), 1, 2);
for cc = 1:length(sets(sc).rf)
rcf = sets(sc).rf(cc);
rci = round(sets(sc).ri(cc));
rcl = mod(rs+round(sets(sc).rl(cc)),rs);
if rci > 0 && ...
rci < sc
mR = mean(R(:,:,rci), 2);
sR = std(R(:,:,rci), 1, 2);
R(:,:,sc) = rcf * ...
((R(:,[(1+rs-rcl):end,1:(rs-rcl)],rci) - mR(:,ones(1,rs)) ./ ...
sR(:,ones(1,rs)) .* sT(:,ones(1,rs)) + mT(:,ones(1,rs)))) + (1-abs(rcf)) * R(:,:,sc);
end
end
end
end
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