In article <365B6CBB.F3134DCE@atmos.washington.edu>,
Varavut Limpasuvan <var@atmos.washington.edu> wrote:
> Hello,
>
> Is it possible to overlay vectors (say wind vectors) on a stereographic
> (or any other type) projection map? I dont think "velovect" works for
> this situation. Help.
>
> Thanks,
> Var
>
> --
>
> ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~~~~~~
> VARAVUT LIMPASUVAN
> Dept. of Atmospheric Sciences, BOX 351640
> University of Washington
> Seattle, Washington 98195
> ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~~~~~~
>
>
I recieved this awhile ago, but never tested it. Good luck. Unfortunately,
I do not have the name of the person that sent it to me.
Mirko
To: Mirko Vukovic/OPS/HQ/MRC
cc:
Subject: Re: vector plots on maps
> is there a routine by which I can overplot a vector field on a map?
I wrote this, but don't use it much. Have fun...
;This "front end" procedure is a help tool for map_vec.
pro vec_help
base = widget_base(title='VEC_HELP', /row)
list = widget_text(base, xsize=85, ysize=20 ,scroll=1, $
font='-adobe-helvetica-medium-r-normal--14-140-75-75-p-77-is o8859-1', $
value=[$
'=========================================================== ============',$ '
>>>> MAP_VEC HELP MENU <<<<', $ ' ', $ ' The map_vec procedure plots
vectors within an existing plot space.', $ ' Usually a map is produced, then
vectors are overlayed using velovect.', $ ' ', $
'----------------------------------------------------------- ------------',$
'USAGE: map_vec, u, v, x, y, missing=missing, length=length, maxvec=maxvec,
round=round, $', $ ' dots=dots, color=color, everyx=everyx, everyy=everyy,
arrowsize=arrowsize, $', $ ' limit=limit, refvec=refvec, refunit=refunit,
refposx=refposx, $',$ ' refposy=refposy, reflabely=reflabely,
charsize=charsize, help=help', $
'=========================================================== ============',$ '
', $ 'PARAMETERS:', $ ' u,v.............. 2-D data arrays specifying
the zonal and meridional velocity components.', $ ' x,y..............
Meridional and zonal location vectors (longitude, latitude).', $ ' ', $
'KEYWORDS:', $ ' missing.......... Do not plot vectors with a magnitude
greater or equal to this value.', $ ' length........... Length factor.
The default of 1.0 makes the longest vector the', $ ' length of one
grid cell.', $ ' maxvec........... Maximum vector magnitude for
scaling. Default is computed', $ ' round............ Round computed
maxvec so it is divisible by 5.', $ ' dots............. After setting dots
to 1, a dot is placed at missing data points.', $ ' color............
Color index for drawing vectors. Default is zero.', $ ' everyx...........
Plot every 2nd, 3rd, 4th... vector in the x direction. Default is 1.', $ '
everyy........... Plot every 2nd, 3rd, 4th... vector in the y direction.
Default is 1.', $ ' arrowsize........ Factor by which default arrowsize is
multiplied.', $ ' limit............ vector containing [latmin, lonmin,
latmx, lonmax] for plotting area.', $ ' ', $ ' refvec........... After
setting refvec to 1, a "max vector magnitude" arrow appears on the plot.',$ "
refunit.......... String variable containing unit of the reference vector.
Default is 'm s!U-1!n.'",$ ' refposx.......... Ending x position (in
data coords.) for drawing refvec. Default is computed.', $ '
refposy.......... Y position (in data coords.) for drawing refvec. Default
is computed.', $ ' reflabely........ Y position (in data coords.) for
drawing label beneath refvec. Default is computed.', $ ' charsize.........
Character size for reference vector label. Default is .78', $ '
help............. Bring up this help menu.', $
'........................................................... .................
... ....................'+$
'........................................................... .................
... ....................'+$ '..........................',$ ' ', $ ' EXAMPLE:
Plotting global taux, tauy data.', $ " taux =
rz('/data/obs/nmc/stress/taux_9_90', xloc=x, yloc=y)", $ " tauy =
rz('/data/obs/nmc/stress/tauy_9_90')", $ ' gplot, taux, x, y, /nodata ...
or ... map_set, 0, 180, /cont, /cyl', $ ' ', $ ' map_vec, taux, tauy, x, y,
missing=999., everyx=2, everyy=1, length=5, /dots, $', $ " /refvec,
refunit='dynes cm !e-2!n', refposx=340., refposy=-100., $", $ '
reflabely=-106.', $ ' ' ])
widget_control, /realize, base
end
pro map_vec, u, v, x, y, missing=missing, length=length, maxvec=maxvec,
round=round, $
dots=dots, color=color, everyx=everyx, everyy=everyy,
arrowsize=arrowsize, $
limit=limit, refvec=refvec, refunit=refunit, refposx=refposx,
refposy=refposy, $
reflabely=reflabely, charsize=charsize, help=help
;
; NAME:
; MAP_VEC
;
;
; 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:
; MAP_VEC, 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:
;
; SQRT ( U(i,j)^2 + V(i,j)^2 )
;
; 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 arrows.
;
; EVERY: Plot every ____ vector. Default is 1.
;
; REFARROW: Plot a maximum vector magnitude. Default is 0 (NO).
;
; REFUNIT: Unit of max arrow. Default is m s!e-1!n (i.e., m/s)
;
; REFPOSX: X starting position of maxxarrow. Default is computed.
;
; REFPOSY: Y position of maxxarrow. Default is computed.
;
; REFLABELY: Y position of refveclabel. Default is computed.
;
;
; OUTPUTS:
; None.
;
;
; COMMON BLOCKS:
; None.
;
;
; SIDE EFFECTS:
; Plotting on the selected device is performed.
;
;
; RESTRICTIONS:
; None.
;
;
; PROCEDURE:
; Straightforward. The system variables !XTITLE, !YTITLE and
; !MTITLE can be set to title the axes.
;
;
; MODIFICATION HISTORY:
; DMS, RSI, Oct., 1983.
;
; For Sun, DMS, RSI, April, 1989.
;
; Added TITLE, Oct, 1990.
;
; Added POSITION, NOERASE, COLOR, Feb 91, RES.
;
; Added all keywords past color. June 1993, Andrew F.
Loughe
; Draw to current plot area (usually a map).
on_error, 2 ;Return to caller if an error occurs
help = keyword_set(help)
if (help eq 1 or n_params() eq 0) then begin
vec_help
message, 'Stopped for help in map_vec.pro'
endif
s = size(u)
t = size(v)
; Check size of input arrays.
if n_params(1) lt 4 then $
message, 'Must specify u, v, x, y'
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_elements(x) ne s(1) or n_elements(y) ne s(2)) then $
message, 'X and Y arrays have incorrect size.'
; Set some default values.
if n_elements(missing) le 0 then missing = 1.0e10
if n_elements(length) le 0 then length = 1.0
if n_elements(maxvec) le 0 then maxvec = -1.
if n_elements(round) le 0 then round = 0
if n_elements(everyx) le 0 then everyx = 1
if n_elements(everyy) le 0 then everyy = 1
if n_elements(arrowsize) le 0 then arrowsize = 1.
if n_elements(limit) le 0 then limit =
[-100.,-10000.,100.,10000.]
if n_elements(title) le 0 then title = ''
if n_elements(charsize) le 0 then charsize = .78
if n_elements(color) le 0 then color = 0
latmin = limit(0) ;Get geographical limits
lonmin = limit(1) ;for plotting the data
latmax = limit(2)
lonmax = limit(3)
mag = sqrt(u^2 + v^2) ;Get magnitude of all vectors
; Get subscripts of good and bad elements.
; good = those points where vector magnitude is less than missing value.
; bad = those points where vector magnitude is greater or equal to
missing value.
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
; Using good points, find maximum vector magnitude for scaling.
if (maxvec eq -1.) then begin
mag2 = mag(good) ;Get magnitude of good points.
if (max(mag2) le 2) then maxvec = fix(max(mag2))
if (max(mag2) gt 2) then maxvec = fix(max(mag2)+1)
if (round eq 1) then begin
maxvec = fix((max(mag2)+1)/5)*5 ;Round maxvec dwn to
number divisible by 5
print, 'Max vector length for scaling is made divisible by
5: ',maxvec
endif
if (maxvec eq 0.) then maxvec = 1
endif
;Grid spacing needed for scaling vectors
deltax = (max(x) - min(x)) / (s(1)-1)
deltay = (max(y) - min(y)) / (s(2)-1)
; Plot vectors and arrow heads (loop through all points).
for j = 0, s(2)-2, fix(everyy) do begin
for i = 0, s(1)-1, fix(everyx) do begin
; Get scaled vector componets.
; length = If three, the longest vector covers three grid cells.
; u,v = The actual velocity components.
; maxvec = The maximum wind component.
if (mag(i,j) lt missing) then begin
dx = length * (deltax) * (u(i,j)/maxvec) ;Get (u,v)
components
dy = length * (deltay) * (v(i,j)/maxvec) ;that will be
plotted
x0 = x(i) ;Get beginning/ending coords of vector
x1 = x0 + dx
y0 = y(j)
y1 = y0 + dy
if (y0 ge latmin and y1 le latmax and $
x0 ge lonmin and x1 le lonmax) then
begin
hsize=float(arrowsize)*(!d.x_size/100.)*(mag(i,j)/(2.*maxvec ))
arrow_andy, x0, y0, x1, y1, color=color, /data,
hsize=hsize
endif
endif
endfor
endfor
; Plot a "maximum vector" arrow at the bottom righthand corner of the
plot
if n_elements(refvec) gt 0 then begin
; Determine new arrow head size and angle for the reference vector
r = .4 ;Length of arrow head
angle = 20. * !dtor ;Half-co-angle of arrowhead
st = r * sin(angle) ;Sin 20 degs * length of head
ct = r * cos(angle)
dx = length * deltax ;Get x-component
dy = length * deltay ;Get y-component
dy=0
; Compute (or use supplied value) for the ending x position, and the
; y position of the reference vector.
if n_elements (refposx) le 0 then refposx= max(x) - dx*3.
if n_elements (refposy) le 0 then refposy= min(y) -
(y(3)-y(0))
x0 = refposx - dx
y0 = refposy
x1 = x0 + dx
y1 = y0 + dy ;No y variation (reference vector is
horizontal)
; Find default (x,y) positions for max vector label
xlabel = (x0 + x1)/2.
ylabel = y0 - (y(4)-y(0))
if n_elements(reflabely) gt 0 then ylabel=reflabely
; Determine (or use supplied value) unit of the reference vector
if n_elements(refunit) le 0 then refunit= 'm s!U-1!n'
max_label = strcompress(string(maxvec), /remove_all) ;Get
maxvec
reftitle = max_label + ' '+ refunit
; xyouts, xlabel, ylabel, reftitle, align=.5,
charsize=charsize, color=color
; Found it more universally acceptable to plot refvec in normalized
coords.
new_coords = convert_coord (x0, y0, /data, /to_norm)
xx0 = new_coords(0) & yy0 = new_coords(1) ;refvec starts
here
new_coords = convert_coord (x1, y1, /data, /to_norm)
xx1 = new_coords(0) & yy1 = new_coords(1) ;refvec ends
here
new_coords = convert_coord ( x1-(ct*dx-st*dy),
y1-(ct*dy+st*dx),$
/data, /to_norm)
xx2 = new_coords(0) & yy2 = new_coords(1) ;top arrowheads
end here
new_coords = convert_coord ( x1-(ct*dx+st*dy),
y1-(ct*dy-st*dx),$
/data, /to_norm)
xx3 = new_coords(0) & yy3 = new_coords(1) ;bot arrowheads
end here
yy1 = yy0
plots,[xx0, xx1, xx3, xx1, xx3], $
[yy0, yy1, yy3+2.*(yy1-yy3), yy1, yy3], color=color, $
thick=1., /norm
xyouts, .5*(xx0+xx1), yy0-.015, reftitle, align=.5,
charsize=charsize, color=color, /norm
endif
; Place dots at missing data points
if nbad gt 0 then $
oplot, x(bad mod s(1)), y(bad/s(1)), psym=3,
color=color
end
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
PRO ARROW_ANDY, x0, y0, x1, y1, HSIZE = hsize, COLOR = color, HTHICK =
hthick, $
THICK = thick, DATA = data, DEVICE = device, NORMALIZED = norm, $
SOLID = solid
;+
; NAME: ARROW
; PURPOSE: Draw a vector(s) with an arrow head
; CATEGORY: Graphics
; CALLING SEQUENCE:
; ARROW, x0, y0, x1, y1
; INPUTS:
; (x0, y0) = coordinates of beginning of vector(s). May be arrays
; or scalars. Coordinates are in DEVICE coordinates
; unless otherwise specified.
; (x1, y1) = coordinates of endpoint (head) of vector.
; x0, y0, x1, y1 must all have the same number of elements.
; KEYWORD PARAMETERS:
; DATA - if set, implies that coordinates are in data coords.
; NORMALIZED - if set, coordinates are specified in normalized coords.
; HSIZE = size of arrowhead. Default = 1/64th the width of the device,
; (!D.X_SIZE / 64.).
; If the size is positive, it is assumed to be in device
; coordinate units. If it is NEGATIVE, then the head length
; is set to the vector length * abs(hsize), giving heads
; proportional in size to the bodies. The size is defined as
; the length of each of the lines (separated by 60 degrees)
; that make the head.
; COLOR = drawing color. Default = highest color index.
; HTHICK = thickness of heads. Default = 1.0.
; SOLID = if set, make a solid arrow, using polygon fills, looks better
; for thick arrows.
; THICK = thickness of body. Default = 1.0.
;
; OUTPUTS:
; No explicit outputs.
; SIDE EFFECTS:
; RESTRICTIONS:
; PROCEDURE:
; Straightforward.
; Examples:
; Draw an arrow from (100,150) to (300,350) in DEVICE units.
; ARROW, 100, 150, 300, 350
;
; Draw a sine wave with arrows from the line Y=0 to
; sin(x/4).
; X = FINDGEN(50)
; Y = SIN(x/4) ;Make sin wave
; PLOT, X, Y
; ARROW, X, REPLICATE(0,50), X, Y, /DATA
; MODIFICATION HISTORY:
; DMS, Feb, 1992.
; DMS, Sept, 1992. Added /SOLID.
;-
; Draw an arrow with a head from (x0,y0) to (x1, y1). Params may be
; vectors.
; Set up keyword params
if n_elements(thick) eq 0 then thick = 1.
if n_elements(hthick) eq 0 then hthick = thick
;Head size in device units
if n_elements(hsize) eq 0 then arrowsize = !d.x_size/64. * (hthick/2. >
1) $
else arrowsize = float(hsize)
if n_elements(color) eq 0 then color = !P.color
angle = 20.0 ;degrees for head angle
mcost = - cos( !dtor * angle )
sint = sin( !dtor * angle )
msint = - sint
for i = 0, n_elements(x0)-1 do begin ;Each vector
if keyword_set(data) then $ ;Convert?
p = convert_coord([x0(i),x1(i)],[y0(i),y1(i)], /data, /to_dev) $
else if keyword_set(norm) then $
p = convert_coord([x0(i),x1(i)],[y0(i),y1(i)], /norm, /to_dev) $
else p = [[x0(i), y0(i)],[x1(i), y1(i)]]
xp0 = p(0,0)
xp1 = p(0,1)
yp0 = p(1,0)
yp1 = p(1,1)
dx = float(xp1-xp0)
dy = float(yp1-yp0)
zz = sqrt(dx^2 + dy^2) ;Length
if zz gt 1e-6 then begin
dx = dx/zz ;Cos th
dy = dy/zz ;Sin th
endif else begin
dx = 1.
dy = 0.
zz = 1.
endelse
if arrowsize gt 0 then a = arrowsize $ ;a = length of head
else a = -zz * arrowsize
xxp0 = xp1 + a * (dx*mcost - dy * msint)
yyp0 = yp1 + a * (dx*msint + dy * mcost)
xxp1 = xp1 + a * (dx*mcost - dy * sint)
yyp1 = yp1 + a * (dx*sint + dy * mcost)
;print, xxp0, yyp0, xxp1, yyp1
;if ( ( (xp0 le 900) and (yp0 le 900) and (xp1 le 900) and (yp1 le 900)
) $
;then begin
if keyword_set(solid) then begin ;Use polyfill?
b = a * mcost*.9 ;End of arrow shaft (Fudge to force join)
plots, [xp0, xp1+b*dx], [yp0, yp1+b*dy], /DEVICE, $
COLOR = color, THICK = thick
polyfill, [xxp0, xxp1, xp1, xxp0], [yyp0, yyp1, yp1, yyp0], $
/DEVICE, COLOR = color
endif else begin
plots, [xp0, xp1], [yp0, yp1], /DEVICE, COLOR = color, THICK = thick,
$
noclip=0
plots, [xxp0,xp1,xxp1],[yyp0,yp1,yyp1], /DEVICE, COLOR = color, $
THICK = hthick, noclip=0
endelse
;endif
ENDFOR
end
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