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web
C
omputing
Filled Plot of Function
Enter a function of
x
:
" >
Plot the function for :
" > <= x <=
" >
<%Mathlet Needs["Graphics`FilledPlot`"]; %> <%Mathlet MSPBlock[ {$$func, $$beg, $$end, $$fColorPrepared, $$fColourRed, $$fColourGreen, $$fColourBlue, $$fillAxes, $$XAxe, $$YAxe, $$xAxeOrigin, $$yAxeOrigin, $$fr1, $$fr2, $$fr3, $$fr4, $$xAxeLabel, $$yAxeLabel, $$xTicks, $$yTicks, $$plotLabel, $$frame, $$rotateLabel, $$xGrids, $$yGrids, $$aspectRatio, $$plotPoints, $$rColor, $$gColor, $$bColor, $$rColorBackg, $$gColorBackg, $$bColorBackg, $$imageSize, $$xRangeBeg,$$xRangeEnd,$$yRangeBeg,$$yRangeEnd }, (* specific options *) If[$$fillColour === "Automatic" , fColr = Automatic ]; If[$$fillColour === "Predefined" , fColr = $$fColorPrepared ]; If[$$fillColour === "Specify" , fColr = RGBColor[$$fColourRed, $$fColourGreen, $$fColourBlue] ]; If[$$fillCurves === "Back" , fCurv = Back ]; If[$$fillCurves === "Front" , fCurv = Front ]; If[$$fillCurves === "None" , fCurv = None ]; result = FilledPlot[ $$func, {x, $$beg, $$end}, Fills->fColr, Curves->fCurv, AxesFront->$$fillAxes, Axes->{$$XAxe,$$YAxe}, AxesOrigin-> If[$$axesOriginFlag === "Specified", {$$xAxeOrigin,$$yAxeOrigin}, Automatic], AxesLabel->{If[$$xAxeLabel === Null, "", ToString[HoldForm[$$xAxeLabel]]], If[$$yAxeLabel === Null, "", ToString[HoldForm[$$yAxeLabel]]]}, Ticks-> {If[$$xTicksFlag === "Specified" , $$xTicks , MSPToExpression[$$xTicksFlag]], If[$$yTicksFlag === "Specified" , $$yTicks , MSPToExpression[$$yTicksFlag]]}, Frame->$$frame, FrameLabel->{If[$$fr1 === Null, "", ToString[HoldForm[$$fr1]]], If[$$fr2 === Null, "", ToString[HoldForm[$$fr2]]], If[$$fr3 === Null, "", ToString[HoldForm[$$fr3]]], If[$$fr4 === Null, "", ToString[HoldForm[$$fr4]]]}, RotateLabel->$$rotateLabel, GridLines-> {If[$$xGridsFlag === "Specified" , $$xGrids , MSPToExpression[$$xGridsFlag]], If[$$yGridsFlag === "Specified" , $$yGrids , MSPToExpression[$$yGridsFlag]]}, AspectRatio->If[$$aspectRatioFlag === "Specified" , $$aspectRatio, MSPToExpression[$$aspectRatioFlag]], PlotLabel-> If[$$plotLabel === Null, "", ToString[HoldForm[$$plotLabel]]], PlotPoints->$$plotPoints, DefaultColor->If[{$$rColor,$$gColor,$$bColor} =!= {"","",""}, RGBColor[$$rColor,$$gColor,$$bColor], Automatic], Background-> If[{$$rColorBackg,$$gColorBackg,$$bColorBackg} =!= {"","",""}, RGBColor[$$rColorBackg,$$gColorBackg,$$bColorBackg], Automatic], PlotRange->{If[$$xPlotRange === "Specified",{$$xRangeBeg,$$xRangeEnd}, MSPToExpression[$$xPlotRange]], If[$$yPlotRange === "Specified",{$$yRangeBeg,$$yRangeEnd}, MSPToExpression[$$yPlotRange]]}, ImageSize-> If[NumberQ[$$imageSize],$$imageSize,Automatic] ]; If[Head[result] === Graphics, MSPShow[result] ] ] %> <%Mathlet MSPBlock[{$$fname, $$submitButton1}, c = If[$$fname === Null, "", ToString[$$fname]]; ftype = Switch[$$opt, "jpg", "JPEG", "tif", "TIFF", "eps", "EPSTIFF", "xbm", "XBitmap", "mps", "MPS", _ , $$opt]; If[Head[result] === Graphics, MSPReturn[DisplayString[result, ftype], "image/"<>ftype , c<>"."<>$$opt] ] ] %>
Save as :
> GIF and animated GIF (.gif)
>JPEG (.jpeg)
>JPEG (.jpg)
> Encapsulated PostScript (.eps)
> Mathematica abbreviated PostScript (.mps)
> Adobe Acrobat portable document format (.pdf)
> Microsoft bitmap format (.bmp)
> Encapsulated PostScript with device independent preview (.epsi)
> Encapsulated PostScript with TIFF preview (.eps)
> Mathematica independent raster graphics format (.mgf)
> Portable bitmap format (.pbm)
>TIFF (.tif)
>TIFF (.tiff)
> X window system bitmap (.xbm)
With file name :
" >
Filled Plot Options
<%Mathlet MSPSetDefault[$$fillColour, "Automatic"] %>
Fills :
Defines the filling colours.
> Automatic
> Predefined :
> light gray
> dark gray
> red
> green
> blue
> Specify : Red :
" > Green :
" > Blue :
" >
(enter values between 0.00 and 1.00)
<%Mathlet MSPSetDefault[$$fillCurves, "Back"] %>
Curves :
Controls how the lines of the curves are to be displayed.
Back
causes curves to be covered by subsequent fills,
Front
places all curves in front of the fills and
None
causes the curves not to be drawn.
> Back
> Front
> None
<%Mathlet MSPSetDefault[$$fillAxes, "True"] %>
AxesFront :
> True
> False
Whether the axes and grid lines are to be drawn in front of or behind the graphic.
General options
Plot range :
(All - all points are included, Automatic - outlying points are dropped)
X :
<%Mathlet MSPSetDefault[$$xPlotRange, "Automatic"] %>
> Automatic
> All
> Specified
" > < = x < =
" >
Y :
<%Mathlet MSPSetDefault[$$yPlotRange, "Automatic"] %>
> Automatic
> All
> Specified
" > < = y < =
" >
<%Mathlet MSPSetDefault[$$XAxe, "True"] %> <%Mathlet MSPSetDefault[$$YAxe, "True"] %>
Axes :
X :
> True
> False Y :
> True
> False
<%Mathlet MSPSetDefault[$$axesOriginFlag, "Automatic"] %>
Axes origin :
> Automatic
> Specified X :
" > Y :
" >
Axes labels :
X :
" > Y :
" >
<%Mathlet MSPSetDefault[$$xTicksFlag, "Automatic"] %> <%Mathlet MSPSetDefault[$$yTicksFlag, "Automatic"] %>
Ticks :
Whether to draw tick marks if there are axes. You may specify the positions at which ticks will be drawn.
X :
> Automatic
> None
> Specified :
" >
(enter a list of values)
Y :
> Automatic
> None
> Specified :
" >
(enter a list of values)
<%Mathlet MSPSetDefault[$$frame, "False"] ;%>
Frame :
> False
> True
Frame labels :
Frame label down :
" > Frame label left :
" >
Frame label up :
" > Frame label right :
" >
<%Mathlet MSPSetDefault[$$rotateLabel, "True"] %>
Rotate labels :
> True
> False
(whether to allow text in frame labels to be vertically positioned)
<%Mathlet MSPSetDefault[$$xGridsFlag, "None"] %> <%Mathlet MSPSetDefault[$$yGridsFlag, "None"] %>
GridLines :
Whether to draw gridlines. You may specify the positions at which gridlines will be drawn.
X :
> None
> Automatic
> Specified :
" >
(enter a list of values)
Y :
> None
> Automatic
> Specified :
" >
(enter a list of values)
Plot label :
" >
<%Mathlet MSPSetDefault[$$aspectRatioFlag, "1/GoldenRatio"] %>
Aspect ratio :
> Default
> Automatic
> Specified :
" >
Setting the AspectRatio option changes the whole shape of your plot. AspectRatio gives the ratio of height to width.
Its
default
value is the inverse of the Golden Ratio — supposedly the most pleasing shape for a rectangle.
Automatic
determines the shape of the display area from the original coordinate system.
<%Mathlet MSPSetDefault[$$plotPoints, "25"] %>
Plot points :
" >
(the minimum number of points at which to sample the function)
Plot color (RGB color) :
red part :
" > green part :
" > blue part :
" >
Specifies the default color to be used for axes, frames and bounds of the figure. The values of the color parts must be between 0 and 1.
Background (RGB color) :
red part :
" > green part :
" > blue part :
" >
Image size :
">
specifies that the image should have a width of x printer's points
© 2004 web
C
omputing, Scientific Visualization
