File: GeneWei.sci

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function [x,Ht,Fi] =GeneWei(N,ht,l,tmax,randflag)

// This Software is ( Copyright INRIA . 1998  1 )
// 
// INRIA  holds all the ownership rights on the Software. 
// The scientific community is asked to use the SOFTWARE 
// in order to test and evaluate it.
// 
// INRIA freely grants the right to use modify the Software,
// integrate it in another Software. 
// Any use or reproduction of this Software to obtain profit or
// for commercial ends being subject to obtaining the prior express
// authorization of INRIA.
// 
// INRIA authorizes any reproduction of this Software.
// 
//    - in limits defined in clauses 9 and 10 of the Berne 
//    agreement for the protection of literary and artistic works 
//    respectively specify in their paragraphs 2 and 3 authorizing 
//    only the reproduction and quoting of works on the condition 
//    that :
// 
//    - "this reproduction does not adversely affect the normal 
//    exploitation of the work or cause any unjustified prejudice
//    to the legitimate interests of the author".
// 
//    - that the quotations given by way of illustration and/or 
//    tuition conform to the proper uses and that it mentions 
//    the source and name of the author if this name features 
//    in the source",
// 
//    - under the condition that this file is included with 
//    any reproduction.
//  
// Any commercial use made without obtaining the prior express 
// agreement of INRIA would therefore constitute a fraudulent
// imitation.
// 
// The Software beeing currently developed, INRIA is assuming no 
// liability, and should not be responsible, in any manner or any
// case, for any direct or indirect dammages sustained by the user.
// 
// Any user of the software shall notify at INRIA any comments 
// concerning the use of the Sofware (e-mail : FracLab@inria.fr)
// 
// This file is part of FracLab, a Fractal Analysis Software"



// CHECH INPUT PARAMETERS

[nargout,nargin] = argn() ;

select nargin
case 1
  error('At least to input parameters required')
case 2
  l = 2 ;
  tmax = 1 ;
  randflag = 0 ;
case 3
  tmax = 1 ;
  randflag = 0 ;
case 4
  randflag = 0 ;
end
                                    
if randflag ~= 0 & randflag ~= 1
  error('unknown option for randflag')
end ;
x=zeros(1,N);

kmax = floor(log(N/(2*tmax))/log(l)) ;

oldrnd=rand('info');rand('normal') ;
C = rand(1,kmax) * randflag + ones(1,kmax) * (1-randflag) ;
rand('uniform') ;
A=rand(1,kmax)*2*%pi * randflag ;

if length(ht) == 1
  s = 2 - ones(1,N) * ht ;
elseif length(ht) > 1 & length(ht) ~= N
  t = linspace(0,tmax,N) ;
  s = 2 - eval(ht) ;
elseif length(ht) > 3
  s = 2 - ht ;
end

Fi = zeros(1,kmax) ;

// WEIERSTRASS COMPUTATION

for k=1:kmax
   y=C(k)*exp(log(l)*(s-2)*k).*(sin(2*%pi*l^k*tmax/N*(0:N-1)+A(k)));
   Fi(k) = l^k*tmax/N ;
   x(1:N)=x(1:N)+y;
end
Ht = 2-s ;
rand(oldrnd)