u)      !"#$%&'((c) Justus Sagemller 2015GPL v3"(@) sagemueller $ geo.uni-koeln.de experimentalrequires GHC>6 extensionsNone!"&*-3457>CFIKLNU )0Either black or white, depending on the context.*Contrast cyan.+Contrast violet.,Contrast magenta.-Contrast orange..!Unlike the typical types such as , this one has semantic more than physical meaning.Use  to directly include any / . (All ) is internally rendered to that type.)BThe exact type may change in the future: we'll probably stay with diagramsh, but when document output is introduced the backend might become variable or something else but 0.1Build an interval from specified boundary points. No matter which of these points is higher, the result will always be the interval in between (i.e., 3 1 1f will yield the interval [1,3], not an empty set or some "oriented interval" [3,1]). The fixity infixl 6: was chosen so you can write 2D bounding-boxes as e.g. -1...4 -*| -1...1.2Cartesian product of intervals.3 Inverse of  uncurry (2). This is a partial function , since 4es can be empty.l56789:;<=>?@ABCDE)*+,-.FGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~$Number of subdivisions to "go down".123f56789:;<=>?@ABCDE)*+,-.FGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~123A56789:;<=>?@ABCDE)*+,-.FGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~1231 2(c) Justus Sagemller 2013GPL v3!(@) sagemuej $ smail.uni-koeln.de experimentalrequires GHC>6 extensionsNoneD.JK(c) Justus Sagemller 2015GPL v3"(@) sagemueller $ geo.uni-koeln.de experimentalrequires GHC>6 extensionsNone!"&*-345>CFIKLNU**(c) Justus Sagemller 2013-2015GPL v3"(@) sagemueller $ geo.uni-koeln.de experimentalrequires GHC>6 extensionsNone!"&*-345:>CFHIKLNUHow surface-occupying the plot is. Use positive values for opaque 2D plots that would tend to obscure other objects, negative values for sparse/small point plots. The z-order will be chosen accordingly., 5 etc. can be used as arguments to some object you , if its rendering is to depend explicitly on the screen's visible range. You should not need to do that manually except for special applications (the standard plot objects like  ] already take the range into account anyway)  e.g. comparing with the linear regression of all visible points2 from some sample with some function's tangent at the screen center. PplotWindow [fnPlot sin, plot $ \(ViewXCenter xc) x -> sin xc + (x-xc) * cos xc]  %images/examples/sin-ctrd-tangents.gifClass for types that can be plotted in some canonical, obvious  way. If you want to display something and don't know about any specific caveats, try just using !$Use a generic diagram within a plot.Like with the various specialised function plotters, this will get automatically tinted to be distinguishable from other plot objects in the same window. Use 0 instead, if you want to view the diagram as-is.Plot a generic /.Plot a sequence of points (x,y). The appearance of the plot will be automatically chosen to match resolution and point density: at low densities, each point will simply get displayed on its own. When the density goes so high you couldn't distinguish individual points anyway, we switch to a trace view , approximating the probability density function around a local mean path , which is rather more insightful (and much less obstructive/clunky) than a simple cloud of independent points.In principle, this should be able to handle vast amounts of data (so you can, say, directly plot an audio file); at the moment the implementation isn't efficient enough and will get slow for more than some 100000 data points.Simply connect the points by straight line segments, in the given order. Beware that this will always slow down the performance when the list is large; there is no &201c;statistic optimisation& 201d; as in .NSet the caption for this plot object that should appear in the plot legend.)Colour this plot object in a fixed shade.Allow the object to be automatically assigned a colour that's otherwise unused in the plot. (This is the default for most plot objects.)Plot some plot objects to a new interactive GTK window. Useful for a quick preview of some unknown data or real-valued functions; things like selection of reasonable view range and colourisation are automatically chosen.Example:  plotWindow [ fnPlot cos , tracePlot [(x,y) | x<-[-1,-0.96..1] , y<-[0,0.01..1] , abs (x^2 + y^2 - 1) < 0.01 ]] This gives such a plot window: 'images/examples/cos-encircle-points.png9And that can with the mouse wheel be zoomed/browsed, like 'images/examples/cos-encircle-points.gifThe individual objects you want to plot can be evaluated in multiple threads, so a single hard calculatation won't freeze the responsitivity of the whole window. Invoke e.g. from  ghci +RTS -N4 to benefit from this.fATTENTION: the window may sometimes freeze, especially when displaying complicated functions with   from ghci. This is apparently a kind of deadlock problem with one of the C libraries that are invoked, At the moment, we can recommend no better solution than to abort and restart ghci (or what else you use  iHaskell kernel, process, ...) if this occurs._Plot an (assumed continuous) function in the usual way. Since this uses functions of actual  values, you have more liberty of defining functions with range-pattern-matching etc., which is at the moment not possible in the :--> category.However, because  can't really prove properties of a mathematical function, aliasing and similar problems are not taken into account. So it only works accurately when the function is locally linear on pixel scales (what most other plot programs just assume silently). In case of singularities, the nave thing is done (extend as far as possible; vertical line at sign change), which again is common enough though not really right.We'd like to recommend using   whenever possible, which automatically adjusts the resolution so the plot is guaranteed accurate (but it's not usable yet for a lot of real applications). Plot a continuous function in the usual way, taking arguments from the x-Coordinate and results to the y one. The signature looks more complicated than it is; think about it as requiring a polymorphic ) function. Any simple expression like   (\x -> sin x / cos (sqrt x)) will work.RUnder the hood this uses the category of region-wise differentiable functions, , to prove that no details are omitted (like small high-frequency bumps). Note that this can become difficult for contrived cases like  cos(1/sin x)Z  while such functions will never come out with aliasing artifacts, they also may not come out quickly at all. (But for well-behaved functions, using the differentiable category actually tends to be more effective, because the algorithm immediately sees when it can describe an almost-linear region with only a few line segments.)%This function is equivalent to using  on an  arrow.!UPlot a continuous, parametric function , i.e. mapping the real line to a path in !."Coordinate axes with labels. For many plottable objects, these will be added automatically, by default (unless inhibited with #).%When you plot  % / ', it is ensured that the (initial) view encompasses (at least) the specified range. Note there is nothing special about these flag  objects: any o can request a certain view, e.g. for a discrete point cloud it's obvious and a function defines at least a y-range for a given x/-range. Only use explicit range when necessary.&Like %i, this only affects what range is plotted. However, it doesn't merely request that a certain interval should be visible, but actually enforces particular values for the left and right boundary. Nothing outside the range will be plotted (unless there is another, contradicting &).      Relative translation (xw, yh).Relative zoom. !"#$ !%&'"#()*$+%&'(,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRST)  !"#$%&'() !%'&(  "#${         !"#$ !%&'"#()*$+%&'(,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTU        !"#$%&'()*+,-./0123456789:;<<=>??@@ABCDEFGHIIJKLMNOPQRSQTUVWXYZZ[\]]^_``abccdeefghhiijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJdynam_5l5uuoQzohr0pmr08OFIPBGraphics.Dynamic.Plot.R2$Graphics.Dynamic.Plot.Internal.TypesDrawColorplotDynamicPlottableGraphics.Dynamic.Plot.ColourGraphics.Text.AnnotationPlainGraphicsR2ViewYResolutiongetViewYResolutionViewXResolutiongetViewXResolution ViewHeight getViewHeight ViewWidth getViewWidth ViewYCentergetViewYCenter ViewXCentergetViewXCenter Plottable shapePlot diagramPlot tracePlot lineSegPlot plotLatest legendNametintautoTint plotWindow continFnPlotfnPlot paramPlot dynamicAxes noDynamicAxestweakPrerendered xInterval forceXRange yInterval forceYRangeNeutralRedYellowGreenBlueColourdiagr_2A3pZ35ZydFL1WUbTlgD1vDiagrams.Core.TypesDiagramdiagr_IpXjvBeP2pbDAlJdTV0mZuDiagrams.Backend.Cairo.InternalCairo...-*|xyRangesdiagr_LY6w15WaoE421uSOA0dY35Diagrams.BoundingBox BoundingBoxLatest getLatestOf NecessityIntervalGraphWindowSpecR2lBoundrBoundbBoundtBound xResolution yResolution colourScheme ColourScheme BaseColourContrastPaler CustomColourAColourFColourR2Box-.^> RecursivePCMRecursiveSamplesRecursiveSamples' rPCMlinFitdetailspFitDeviations samplingSpecsplIdLen rPCMNodeInfoPCMRangepcmStartpcmSampleDurationDevBoxes deviations maxDeviation LinFitParams constCoefflinCoeff SplitList getSplListDiffList getDiffList diffListLenTriplePairRP2R2^diffList presplitList splitEvenly fromDiffListlinFitMeanInCtrdUnitIntvfmapRPCMNodeInforecursiveSamples'lRouterRouterecursiveSamples recursivePCM splineRep l₀splineRep rPCMSamplerPCM_R2_boundingBoxrPCMLinFitRange solveToLinFit normlsdIdd realInterval onInterval± spInterval intersectsincludes shadeExtends superfluentprovidedceilflorfromInt$fSemigroupInterval$fShowGraphWindowSpecR2$fFunctorRecursiveSamples'$fSemigroupSplitList$fMonoidDiffList$fSemigroupDiffListneutralcontrastgreymagentaredorangeyellowgreencyanbluevioletpaleroppositedefaultColourSchemedefaultColourSeq hueInvert LegendEntryplotObjectTitlecustomLegendObjectTextTK txtCairoStyletxtSizexAspectpadding extraTopPad DiagramTK textTools viewScopeTxtStyle Alignment AlignBottomAlignMidAlignTop TextAlignmenthAlignvAlignTextObj PlainTextAnnotationPlace ExactPlace AnnotationObjTextAnnotation Annotation getAnnotation placement isOptionalprettyFloatShowshowExponentAsSuperscript maybeReaddefaultTxtStyleprerenderAnnotationlgprerenderLegend_occlusivenessghc-prim GHC.TypesDoublebase GHC.FloatFloatingmanif_Am7dl6FbtR70TN721EbLuI!Data.Function.Differentiable.Data RWDiffablePlot_plotAnnotations_getPlot_relevantRange_x_relevantRange_y_inherentColours_axesNecessity_legendEntries _futurePlots _dynamicPlotGraphWindowSpec RangeRequestOtherDimDependantRangeMustBeThisRangegetPlotplotAnnotations ObjInPlot_lastStableView _newPlotView_plotObjColour_originalPlotObject axesNecessity dynamicPlot futurePlotsinherentColours legendEntries occlusivenessrelevantRange_xrelevantRange_yAxis axisPosition AxisClass visibleAxes axisStrength decPrecision DynamicAxes yAxisClasses xAxisClasses AxesStyleDynamicAxesStyle--> ScrollAction ScrollZoomIn ScrollZoomOut PlainGraphicsgetPlainGraphicslastStableView newPlotVieworiginalPlotObject plotObjColourmetricFromLengthresolutionFunctionflattenPCM_resoCutflattenPCM_P2_resoCutturnLeftrPCMPlotpixelDimsinglePointFor moveStepRelgraphWindowWidthgraphWindowHeightmkPlotmkAnnotatedPlototherDimDependenceatLeastIntervalatLeastInterval'objectPlotterThreadautoDefaultViewdefResXdefResYdefaultScrollBehaviourdefaultDragButtonscrollZoomStrengthscrutiniseDiffabilitycontinColourSurfaceFnPlotcrtDynamicAxes simpleLine simpleLine' autoDashLine opacityFactor atExtendOf atExtendOf' milliseconds$fPlottable(->)$fPlottable(->)0$fPlottable(->)1$fPlottable(->)2$fMonoidRangeRequest$fSemigroupRangeRequest$fDefaultDynamicPlottable$fMonoidDynamicPlottable$fSemigroupDynamicPlottable $fMonoidPlot$fSemigroupPlot$fPlottableGenericTree$fPlottableGenericTree0$fPlottableGenericTree1$fPlottableGenericTree2$fPlottableGenericTree3$fPlottableGenericTree4$fPlottableGenericTree5$fPlottableLatest$fPlottablePointsWeb$fPlottablePointsWeb0$fPlottableShadeTree$fPlottableShade'$fPlottableShade'0$fPlottableConvexSet$fPlottableShade'1$fPlottableShade$fPlottableShade0$fPlottableShade1$fPlottableRecursiveSamples'$fPlottableRecursiveSamples'0$fPlottableRecursiveSamples'1$fPlottableRWDiffable$fPlottableRWDiffable0$fPlottablePlainGraphics $fPlottable[]$fPlottable(->)3$fPlottableDynamicPlottable