Example 3 -- interpolated smoothing functions

;
;  Description:  This program illustrates the use of ftcurvs and ftcurvps.
;

;
; Main program.
;
begin
;
; Specify the input data.
;
xi = (/  0.000, 0.210, 0.360, 0.540, 1.000,    \
         1.500, 1.970, 2.300, 2.500, 2.700  /)
yi = (/  0.000, 2.600, 3.000, 2.500, 0.000,    \
        -1.000, 0.000, 0.800, 0.920, 0.700  /)

;
; Create the output X coordinate array.
;
npts = 201
xr = 5.
xl = -1.
period = 3.
xo = fspan(xl,xr,npts)

;
; Interpolate.
;
d = 0.3
yos = ftcurvs(xi, yi, d, xo)

;
; Same as above, except for a periodic function.
;
yosp = ftcurvps(xi, yi, period, d, xo)

;
; Create a color map.
;
ncolors = 6
cmap = new( (/ncolors,3/), float)
cmap(0,:) = (/1.0,1.0,1.0/)
cmap(1,:) = (/0.0,0.0,0.0/)
cmap(2,:) = (/1.0,0.0,0.0/)
cmap(3,:) = (/0.0,1.0,0.0/)
cmap(4,:) = (/0.0,0.0,1.0/)
cmap(5,:) = (/1.0,1.0,0.0/)

;
; Default is to display output to an X workstation.
;
NCGM=0
X11=1
PS=0

if (NCGM .eq. 1) then
;
; Create an ncgmWorkstation object.
;
  xworkid = create "ft04Work" ncgmWorkstationClass defaultapp
      "wkMetaName" : "ft01n.ncgm"
      "wkColorMap" : cmap
  end create
else
  if (X11 .eq. 1) then
;
; Create an XWorkstation object.
;
  xworkid = create "ft01Work" xWorkstationClass defaultapp
      "wkPause" : "True"
      "wkColorMap" : cmap
  end create
  else
    if (PS .eq. 1) then
;
; Create a PSWorkstation object.
;
      xworkid = create "ft01Work" psWorkstationClass defaultapp
        "wkPSFileName" : "ft01n.ps"
        "wkColorMap" : cmap
      end create
    end if
  end if
end if

;
;
; Draw two graphs: 
;   1.)  The function values for the non-periodic curve.
;   2.)  The function values for the periodic curve.
;

;
; Define a data object with the original points.  The id for this 
; object will later be used as the value for an XYPlot data resource, 
; 'xyCoordData'.
;
dataid_original_points = create "xyData" coordArraysClass defaultapp
    "caXArray": xi
    "caYArray": yi
end create

;
; Define a data object with the interpolated points.  
;
dataid_interpolated_points = create "xyData" coordArraysClass defaultapp
    "caXArray": xo
    "caYArray": yos
end create

;
; Define a data object with the functional values for the periodic function.
;
dataid_periodic = create "xyDatai" coordArraysClass defaultapp
    "caXArray": xo
    "caYArray": yosp
end create

;
; Specify a point of origin for the graphs.
;
ypos_top = 0.95

;
; Create an immediate mode polyline for marking the Y=0. line
; in each graph.
;
zero_line_id = create "ZeroLine" graphicStyleClass xworkid
    "gsLineColor": 2
end create
xx = new( (/ 2 /), float)
yy = new( (/ 2 /), float)
xx(0) = xl
xx(1) = xr
yy(0) = 0.
yy(1) = 0.

;
; Create a label for the graph of function values of the non-periodic
; function.
;
label1 = create "FunctionLabel" textItemClass xworkid
    "txPosXF": 0.42
    "txPosYF": ypos_top - 0.05
    "txFont": 21
    "txJust" : "centerleft"
    "txString": "ftcurvs"
    "txFontHeightF": 0.035
end create
;
; Create an XyPlot object for drawing a curve with the interpolated
; points for the non-periodic function. 
; 
plotid_interpolated_points = create "xyPlot" xyPlotClass xworkid
    "vpXF": .13
    "vpYF": ypos_top
    "vpWidthF" :  .8
    "vpHeightF" : .35
    "trYMaxF" :   4.
    "trYMinF" :  -2.
    "trXMaxF" :  xr
    "trXMinF" :  xl
    "xyCoordData": dataid_interpolated_points
    "tmXTBorderOn": "False"
    "tmYRBorderOn": "False"
    "tmXBMinorPerMajor": 4
    "tmYLMinorPerMajor": 0
    "tmBorderThicknessF": 1.
    "tmXMajorGridThicknessF": 1.
    "tmXBMajorLengthF": 0.015
    "tmYLMajorLengthF": 0.015
    "tmXBMinorLengthF": 0.0075
    "tmXBMajorThicknessF": 1.0
    "tmYLMajorThicknessF": 1.0
    "tmXTOn": "False"
    "tmYROn": "False"
    "tmXBLabelFont": 21
    "tmXBLabelFontHeightF": 0.025
    "tmYLLabelFont": 21
    "tmYLLabelFontHeightF": 0.025
    "tmYLMode": "Manual"
    "tmYLTickStartF": -2.
    "tmYLTickSpacingF": 2.0
    "tmYLTickEndF": 4.
    "tmXBMode": "Manual"
    "tmXBTickStartF": -1.
    "tmXBTickSpacingF": 1.0
    "tmXBTickEndF": 5.
end create

;
; Add original points.
;
orig_points = NhlAddData(plotid_interpolated_points,"xyCoordData",  \
                         dataid_original_points)

getvalues plotid_interpolated_points
    "xyCoordDataSpec": dataspec
end getvalues
 
setvalues dataspec(1)
    "xyMarkLineMode": "markers"
    "xyMarkerColor": 4
    "xyMarkerSizeF": 0.025
end setvalues

;
; Create a label for the graph of the periodic function.
;
label3 = create "IntegralLabel" textItemClass xworkid
    "txPosXF": 0.42
    "txPosYF": ypos_top - 0.55
    "txFont": 21
    "txJust" : "centerleft"
    "txString": "ftcurvps"
    "txFontHeightF": 0.035
end create

;
;  Draw the curve for the non-periodic function and mark the original points.
;
draw(plotid_interpolated_points)
draw(label1)
NhlDataPolyline(plotid_interpolated_points, zero_line_id, xx, yy)

;
; Create an XyPlot object for drawing a curve with the interpolated
; values of the periodic function. 
; 
setvalues plotid_interpolated_points
    "vpYF": ypos_top - 0.5
    "trYMaxF" :  4.0
    "trYMinF" :  -2.0
    "xyCoordData": dataid_periodic
    "tmYLTickStartF": -2.
    "tmYLTickSpacingF": 2.0
    "tmYLTickEndF": 4.
end setvalues

;
; Draw a graph of the periodic function, label the graph,
; and draw a line indicating Y=0.
; 
draw(plotid_interpolated_points)
draw(label3)
NhlDataPolyline(plotid_interpolated_points, zero_line_id, xx, yy)

frame(xworkid)

;
; End NCL script.
;
end