File: lambdak.sci

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scilab 2.4-1
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function y = lambdak(u,k);

// 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



if (k~=0) & (k~=1)
  ind = find(u ~= 0) ;
  y = ones(u) ;
  y(ind) = (k*(exp(-u(ind))-1)./(exp(-k*u(ind))-1)).^(1/(k-1)) ;
elseif k==0
  ind = find(u ~= 0) ;
  y = ones(u) ;
  y(ind) = -u(ind)./(exp(-u(ind))-1) ;
elseif k==1
  ind = find(u ~= 0) ;
  y = ones(u) ;
  y(ind) = exp(1+u(ind).*exp(-u(ind))./(exp(-u(ind))-1)) ;
end;