;+
;FUNCTION  polycurve2(x,par=p)
;PURPOSE:
;   Evaluates a (Nth degree) polynomial (can be used with "FIT")
;-

function polycurve2, x,  $
    parameters=p, coeff=coeff, order = order ,  p_names = p_names , pder_values= pder_values,invert=invert

if n_elements(order) eq 0 then order = 5
if not keyword_set(p) or n_elements(coeff) gt 0 then begin
  if n_elements(coeff) gt 0 then order = n_elements(coeff) -1 else coeff = dblarr(order+1)
  p = {func:'polycurve2', order:fix(order),  a:double(coeff), invert:keyword_set(invert)}
endif

if n_params() eq 0 then return,p

if keyword_set(invert) || p.invert then begin
  xguess= (x-p.a[0])/p.a[1]
  ptemp = p
  ptemp.invert = 0
  xy = solve(x,xguess=xguess,param=ptemp)
  return,xy
endif

f= 0
n = p.order
for i = n,0,-1 do begin   ; this method of evaluation avoids roundoff errors
  f *= x
  f += p.a[i]
endfor

;f = p.a6*x^6 + p.a5*x^5 + p.a4*x^4 + p.a3*x^3 + p.a2*x^2 + p.a1*x + p.a0

if keyword_set(p_names) then begin
;   message, 'Not tested',/info
   np = n_elements(p_names)
   nd = n_elements(f)
   pder_values = dblarr(nd,np)
   for i=0,np-1 do begin
      n = fix(strmid( p_names[i],2 ) )
      pder_values[*,i] = x^n
   endfor
endif

return,f
end




;2.1 16.98 107
;2.2 16.57 116
;2.3 16.22 127
;2.4 15.89 137
;2.5 15.75 147
;2.6 15.62 159
;2.7 15.22 169
;2.8 14.85 179
;2.9 14.52 189
;3.0 14.16 196
;3.1 14.05 200
;3.2 13.63 204
;3.3 13.24 204
;3.4 12.99 200
;3.5 12.64 192
;3.6 12.42 185
;3.7 12.06 179
;3.8 11.72 167
;3.9 11.47 156
;4.0 11.20 145
;4.1 10.70 135
;4.2 10.30 123
;4.3  9.88 114
;4.4  9.51 105
;4.5  9.09  96
;4.6  8.83  89
;4.7  8.50  82
;4.8  8.17  76
;4.9  7.79  70
;5.0  7.42  65