Code covered by the BSD License  

Highlights from
slatec

from slatec by Ben Barrowes
The slatec library converted into matlab functions.

[randresult,r]=rand(r);
function [randresult,r]=rand(r);
randresult=[];
persistent firstCall ia0 ia1 ia1ma0 ic ix0 ix1 iy0 iy1 rand ; if isempty(firstCall),firstCall=1;end; 

if isempty(ia0), ia0=0; end;
if isempty(ia1), ia1=0; end;
if isempty(ia1ma0), ia1ma0=0; end;
if isempty(ic), ic=0; end;
if isempty(ix0), ix0=0; end;
if isempty(ix1), ix1=0; end;
if isempty(iy0), iy0=0; end;
if isempty(iy1), iy1=0; end;
if isempty(randresult), randresult=0; end;
%***BEGIN PROLOGUE  RAND
%***PURPOSE  Generate a uniformly distributed random number.
%***LIBRARY   SLATEC (FNLIB)
%***CATEGORY  L6A21
%***TYPE      SINGLE PRECISION (RAND-S)
%***KEYWORDS  FNLIB, RANDOM NUMBER, SPECIAL FUNCTIONS, UNIFORM
%***AUTHOR  Fullerton, W., (LANL)
%***DESCRIPTION
%
%      This pseudo-random number generator is portable among a wide
% variety of computers.  RAND(R) undoubtedly is not as good as many
% readily available installation dependent versions, and so this
% routine is not recommended for widespread usage.  Its redeeming
% feature is that the exact same random numbers (to within final round-
% off error) can be generated from machine to machine.  Thus, programs
% that make use of random numbers can be easily transported to and
% checked in a new environment.
%
%      The random numbers are generated by the linear congruential
% method described, e.g., by Knuth in Seminumerical Methods (p.9),
% Addison-Wesley, 1969.  Given the I-th number of a pseudo-random
% sequence, the I+1 -st number is generated from
%             X(I+1) = (A*X(I) + C) MOD M,
% where here M = 2**22 = 4194304, C = 1731 and several suitable values
% of the multiplier A are discussed below.  Both the multiplier A and
% random number X are represented in doubleprecision as two 11-bit
% words.  The constants are chosen so that the period is the maximum
% possible, 4194304.
%
%      In order that the same numbers be generated from machine to
% machine, it is necessary that 23-bit integers be reducible modulo
% 2**11 exactly, that 23-bit integers be added exactly, and that 11-bit
% integers be multiplied exactly.  Furthermore, if the restart option
% is used (where R is between 0 and 1), then the product R*2**22 =
% R*4194304 must be correct to the nearest integer.
%
%      The first four random numbers should be .0004127026,
% .6750836372, .1614754200, and .9086198807.  The tenth random number
% is .5527787209, and the hundredth is .3600893021 .  The thousandth
% number should be .2176990509 .
%
%      In order to generate several effectively independent sequences
% with the same generator, it is necessary to know the random number
% for several widely spaced calls.  The I-th random number times 2**22,
% where I=K*P/8 and P is the period of the sequence (P = 2**22), is
% still of the form L*P/8.  In particular we find the I-th random
% number multiplied by 2**22 is given by
% I   =  0  1*P/8  2*P/8  3*P/8  4*P/8  5*P/8  6*P/8  7*P/8  8*P/8
% RAND=  0  5*P/8  2*P/8  7*P/8  4*P/8  1*P/8  6*P/8  3*P/8  0
% Thus the 4*P/8 = 2097152 random number is 2097152/2**22.
%
%      Several multipliers have been subjected to the spectral test
% (see Knuth, p. 82).  Four suitable multipliers roughly in order of
% goodness according to the spectral test are
%    3146757 = 1536*2048 + 1029 = 2**21 + 2**20 + 2**10 + 5
%    2098181 = 1024*2048 + 1029 = 2**21 + 2**10 + 5
%    3146245 = 1536*2048 +  517 = 2**21 + 2**20 + 2**9 + 5
%    2776669 = 1355*2048 + 1629 = 5**9 + 7**7 + 1
%
%      In the table below LOG10(NU(I)) gives roughly the number of
% random decimal digits in the random numbers considered I at a time.
% C is the primary measure of goodness.  In both cases bigger is better.
%
%                   LOG10 NU(I)              C(I)
%       A       I=2  I=3  I=4  I=5    I=2  I=3  I=4  I=5
%
%    3146757    3.3  2.0  1.6  1.3    3.1  1.3  4.6  2.6
%    2098181    3.3  2.0  1.6  1.2    3.2  1.3  4.6  1.7
%    3146245    3.3  2.2  1.5  1.1    3.2  4.2  1.1  0.4
%    2776669    3.3  2.1  1.6  1.3    2.5  2.0  1.9  2.6
%   Best
%    Possible   3.3  2.3  1.7  1.4    3.6  5.9  9.7  14.9
%
%             Input Argument --
% R      If R=0., the next random number of the sequence is generated.
%        If R .LT. 0., the last generated number will be returned for
%          possible use in a restart procedure.
%        If R .GT. 0., the sequence of random numbers will start with
%          the seed R mod 1.  This seed is also returned as the value of
%          RAND provided the arithmetic is done exactly.
%
%             Output Value --
% RAND   a pseudo-random number between 0. and 1.
%
%***REFERENCES  (NONE)
%***ROUTINES CALLED  (NONE)
%***REVISION HISTORY  (YYMMDD)
%   770401  DATE WRITTEN
%   890531  Changed all specific intrinsics to generic.  (WRB)
%   890531  REVISION DATE from Version 3.2
%   891214  Prologue converted to Version 4.0 format.  (BAB)
%***end PROLOGUE  RAND
if firstCall,   ia1 =[1536];  end;
if firstCall,  ia0 =[1029];  end;
if firstCall,  ia1ma0=[507];  end;
if firstCall,   ic=[1731];  end;
if firstCall,   ix1 =[0];  end;
if firstCall,  ix0=[0];  end;
firstCall=0;
%***FIRST EXECUTABLE STATEMENT  RAND
if( r>=0. )
if( r>0. )
%
ix1 = fix(rem(r,1.).*4194304. + 0.5);
ix0 = fix(rem(ix1,2048));
ix1 =fix(fix((ix1-ix0)./2048));
else;
%
%           A*X = 2**22*IA1*IX1 + 2**11*(IA1*IX1 + (IA1-IA0)*(IX0-IX1)
%                   + IA0*IX0) + IA0*IX0
%
iy0 = fix(ia0.*ix0);
iy1 = fix(ia1.*ix1 + ia1ma0.*(ix0-ix1) + iy0);
iy0 = fix(iy0 + ic);
ix0 = fix(rem(iy0,2048));
iy1 = fix(iy1 +fix((iy0-ix0)./2048));
ix1 = fix(rem(iy1,2048));
end;
end;
%
randresult = ix1.*2048 + ix0;
randresult = randresult./4194304.;
csnil=dbstack(1); csnil=csnil(1).name(1)~='@';
if csnil&&~isempty(inputname(1)), assignin('caller','FUntemp',r); evalin('caller',[inputname(1),'=FUntemp;']); end
return;
%
end
%DECK RATQR

Contact us at files@mathworks.com