;+
;
; @file_comments
; computes the determinant of n 3 by 3 arrays.
; Z2DS is an 3*3*n array
;
; @categories
; Without loop
;
; @param IN00 {in}{required}
; It is an n element array
; defined by in00 = z2ds[0, 0, *]
;
; @param IN01 {in}{required}
; It is an n element array
; defined by in01 = z2ds[0, 1, *]
;
; @param IN02 {in}{required}
; It is an n element array
; defined by in02 = z2ds[0, 2, *]
;
; @param IN10 {in}{required}
; It is an n element array
; defined by in10 = z2ds[1, 0, *]
;
; @param IN11 {in}{required}
; It is an n element array
; defined by in11 = z2ds[1, 1, *]
;
; @param IN12 {in}{required}
; It is an n element array
; defined by in12 = z2ds[1, 2, *]
;
; @param IN20 {in}{required}
; It is an n element array
; defined by in20 = z2ds[2, 0, *]
;
; @param IN21 {in}{required}
; It is an n element array
; defined by in21 = z2ds[2, 1, *]
;
; @param IN22 {in}{required}
; It is an n element array
; defined by in22 = z2ds[2, 2, *]
;
; @returns
; n elements array, the determinant of each 3*3 arrays
;
; @examples
; a=findgen(3,3,5)
; print, determ3(a^2)
; FOR i=0,4 DO print, determ((a[*,*,i])^2) ; IDL solution
;
; @history
;           S. Masson (smasson\@lodyc.jussieu.fr)
;           July 11th, 2002
;
; @version
; $Id$
;
;-
FUNCTION determ3, in00, in01, in02, in10, in11, in12, in20, in21, in22
;
  compile_opt idl2, strictarrsubs
;
  IF n_params() EQ 1 THEN BEGIN
    in00save = temporary(in00)
    in00 = in00save[0, 0, *]
    in01 = in00save[0, 1, *]
    in02 = in00save[0, 2, *]
    in10 = in00save[1, 0, *]
    in11 = in00save[1, 1, *]
    in12 = in00save[1, 2, *]
    in20 = in00save[2, 0, *]
    in21 = in00save[2, 1, *]
    in22 = in00save[2, 2, *]
  ENDIF

  a01 = -determ2(in10[*], in20[*] $
                 , in12[*], in22[*])

  a11 = determ2(in00[*], in20[*] $
                , in02[*], in22[*])

  a21 = -determ2(in00[*], in10[*] $
                 , in02[*], in12[*])

  res = in01[*]*a01+in11[*]*a11+in21[*]*a21

  IF n_params() EQ 1 THEN in00 = temporary(in00save)

  RETURN, res
END