; $Id: velovect.pro,v 1.12 1997/01/15 03:11:50 ali Exp $
;
; Copyright (c) 1983-1997, Research Systems, Inc.  All rights reserved.
;	Unauthorized reproduction prohibited.

PRO VECT,U,V,X,Y, Missing = Missing, Length = length, Dots = dots,  $
        Color=color, _EXTRA = extra
;
;+ 
; NAME:
;	VELOVECT
;
; PURPOSE:
;	Produce a two-dimensional velocity field plot.
;
;	A directed arrow is drawn at each point showing the direction and 
;	magnitude of the field.
;               
; CATEGORY:
;	Plotting, two-dimensional.
;
; CALLING SEQUENCE:
;	VELOVECT, U, V [, X, Y]
;
; INPUTS:
;	U:	The X component of the two-dimensional field.  
;		U must be a two-dimensional array.
;
;	V:	The Y component of the two dimensional field.  Y must have
;		the same dimensions as X.  The vector at point [i,j] has a 
;		magnitude of:
;
;			(U[i,j]^2 + V[i,j]^2)^0.5
;
;		and a direction of:
;
;			ATAN2(V[i,j],U[i,j]).
;
; OPTIONAL INPUT PARAMETERS:
; 	X:	Optional abcissae values.  X must be a vector with a length 
;		equal to the first dimension of U and V.
;
;	Y:	Optional ordinate values.  Y must be a vector with a length
;		equal to the first dimension of U and V.
;
; KEYWORD INPUT PARAMETERS:
;      MISSING:	Missing data value.  Vectors with a LENGTH greater
;		than MISSING are ignored.
;
;	LENGTH:	Length factor.  The default of 1.0 makes the longest (U,V)
;		vector the length of a cell.
;
;	DOTS:	Set this keyword to 1 to place a dot at each missing point. 
;		Set this keyword to 0 or omit it to draw nothing for missing
;		points.  Has effect only if MISSING is specified.
;
;	COLOR:	The color index used for the plot.
;
;	Note:   All other keywords are passed directly to the PLOT procedure
;		and may be used to set option such as TITLE, POSITION, 
;		NOERASE, etc.
; OUTPUTS:
;	None.
;
; COMMON BLOCKS:
;	None.
;
; SIDE EFFECTS:
;	Plotting on the selected device is performed.  System
;	variables concerning plotting are changed.
;
; RESTRICTIONS:
;	None.
;
; PROCEDURE:
;	Straightforward.  Unrecognized keywords are passed to the PLOT
;	procedure.  
;
; MODIFICATION HISTORY:
;	DMS, RSI, Oct., 1983.
;	For Sun, DMS, RSI, April, 1989.
;	Added TITLE, Oct, 1990.
;	Added POSITION, NOERASE, COLOR, Feb 91, RES.
;	August, 1993.  Vince Patrick, Adv. Visualization Lab, U. of Maryland,
;		fixed errors in math.
;	August, 1993. DMS, Added _EXTRA keyword inheritance.
;	January, 1994, KDB. Fixed integer math which produced 0 and caused
;		            divide by zero errors.
;	December, 1994, MWR. Added _EXTRA inheritance for PLOTS and OPLOT.
;	June, 1995, MWR. Removed _EXTRA inheritance for PLOTS and changed
;			 OPLOT to PLOTS.
;       September, 1996, GGS. Changed denominator of x_step and y_step vars. 
;-
;
        on_error,2                      ;Return to caller if an error occurs
        s = size(u)
        t = size(v)
        if s[0] ne 2 then begin 
baduv:   message, 'U and V parameters must be 2D and same size.'
                endif
        if total(abs(s[0:2]-t[0:2])) ne 0 then goto,baduv
;
        if n_params(0) lt 3 then x = findgen(s[1]) else $
                if n_elements(x) ne s[1] then begin
badxy:                  message, 'X and Y arrays have incorrect size.'
                        endif
        if n_params(1) lt 4 then y = findgen(s[2]) else $
                if n_elements(y) ne s[2] then goto,badxy
;
        if n_elements(missing) le 0 then missing = 1.0e30
        if n_elements(length) le 0 then length = 1.0

        mag = sqrt(u^2.+v^2.)             ;magnitude.
                ;Subscripts of good elements
        nbad = 0                        ;# of missing points
        if n_elements(missing) gt 0 then begin
                good = where(mag lt missing) 
                if keyword_set(dots) then bad = where(mag ge missing, nbad)
        endif else begin
                good = lindgen(n_elements(mag))
        endelse

        ugood = u[good]
        vgood = v[good]
        x0 = min(x)                     ;get scaling
        x1 = max(x)
        y0 = min(y)
        y1 = max(y)
	x_step=(x1-x0)/(s[1]-1.0)   ; Convert to float. Integer math
	y_step=(y1-y0)/(s[2]-1.0)   ; could result in divide by 0

	maxmag=max([max(abs(ugood/x_step)),max(abs(vgood/y_step))])
	sina = length * (ugood/maxmag)
	cosa = length * (vgood/maxmag)
;
        if n_elements(title) le 0 then title = ''
        ;--------------  plot to get axes  ---------------
        if n_elements(color) eq 0 then color = !p.color
        x_b0=x0-x_step
	x_b1=x1+x_step
	y_b0=y0-y_step
	y_b1=y1+y_step
        if n_elements(position) eq 0 then begin
;          plot,[x_b0,x_b1],[y_b1,y_b0],/nodata,/xst,/yst, $
;            color=color, _EXTRA = extra
        endif else begin
;          plot,[x_b0,x_b1],[y_b1,y_b0],/nodata,/xst,/yst, $
;            color=color, _EXTRA = extra
        endelse
;
        r = .3                          ;len of arrow head
        angle = 22.5 * !dtor            ;Angle of arrowhead
        st = r * sin(angle)             ;sin 22.5 degs * length of head
        ct = r * cos(angle)
;
        for i=0,n_elements(good)-1 do begin     ;Each point
                x0 = x[good[i] mod s[1]]        ;get coords of start & end
                dx = sina[i]
                x1 = x0 + dx
                y0 = y[good[i] / s[1]]
                dy = cosa[i]
                y1 = y0 + dy
		xd=x_step
		yd=y_step
                plots,[x0,x1,x1-(ct*dx/xd-st*dy/yd)*xd, $
			x1,x1-(ct*dx/xd+st*dy/yd)*xd], $
                      [y0,y1,y1-(ct*dy/yd+st*dx/xd)*yd, $
			y1,y1-(ct*dy/yd-st*dx/xd)*yd], $
                      color=color
                endfor
        if nbad gt 0 then $             ;Dots for missing?
                PLOTS, x[bad mod s[1]], y[bad / s[1]], psym=3, color=color
end