functions in cheby.i - c

 
cheby_deriv 

    cheby_deriv(fit)  


  returns Chebyshev fit to the derivative of the function of the  
  input Chebyshev FIT.  
  
   Interpreted function, defined at i/cheby.i   line 76
SEE ALSO: cheby_fit,   cheby_integ  
 
 
 
cheby_eval 

    cheby_eval(fit, x)  


  evaluates the Chebyshev fit (from cheby_fit) at points X.  
  the return values have the same dimensions as X.  
  
   Interpreted function, defined at i/cheby.i   line 36
SEE ALSO: cheby_fit  
 
 
 
cheby_fit 

    fit = cheby_fit(f, interval, n)  
 or fit = cheby_fit(f, x, n)  


  returns the Chebyshev fit (for use in cheby_eval) of degree N  
  to the function F on the INTERVAL (a 2 element array [a,b]).  
  In the second form, F and X are arrays; the function to be  
  fit is the piecewise linear function of xp interp(f,x,xp), and  
  the interval of the fit is [min(x),max(x)].  
  
  The return value is the array [a,b, c0,c1,c2,...cN] where [a,b]  
  is the interval over which the fit applies, and the ci are the  
  Chebyshev coefficients.  It may be useful to use a relatively  
  large value of N in the call to cheby_fit, then to truncate the  
  resulting fit to fit(1:3+m) before calling cheby_eval.  
  
   Interpreted function, defined at i/cheby.i   line 7
SEE ALSO: cheby_eval,   cheby_integ,   cheby_deriv  
 
 
 
cheby_integ 

    cheby_integ(fit)  
 or cheby_integ(fit, x0)  


  returns Chebyshev fit to the integral of the function of the  
  input Chebyshev FIT.  If X0 is given, the returned integral will  
  be zero at X0 (which should be inside the fit interval fit(1:2)),  
  otherwise the integral will be zero at x=fit(1).  
  
   Interpreted function, defined at i/cheby.i   line 54
SEE ALSO: cheby_fit,   cheby_deriv