)abbrev package PLOTTOOL PlotTools
++ Author:
++ Keywords:
++ Examples:
++ References:
++ Description:
++ This package exports plotting tools
PlotTools() : Exports == Implementation where
  L   ==> List
--  Pt  ==> TwoDimensionalPoint
  SEG ==> Segment
  SF  ==> DoubleFloat
  Pt ==> Point(SF)
  PLOT ==> Plot
  DROP ==> DrawOption
  S    ==> String
  VIEW2D ==> TwoDimensionalViewport

  Exports ==> with
    calcRanges : L L Pt             -> L SEG SF
        ++ calcRanges(l) \undocumented

  Implementation ==> add
    import from GraphicsDefaults
    import from PLOT
    import from TwoDimensionalPlotClipping
    import from DrawOptionFunctions0
    import from ViewportPackage
    import from PointPackage(SF)

    --%Local functions
    xRange0 : L Pt -> SEG SF
    xRange : L L Pt -> SEG SF
    yRange0 : L Pt -> SEG SF
    yRange : L L Pt -> SEG SF
    drawToScaleRanges : (SEG SF, SEG SF) -> L SEG SF

    drawToScaleRanges(xVals, yVals) ==
      xDiff := (xHi := high(xVals)) - (xLo := low(xVals))
      yDiff := (yHi := high(yVals)) - (yLo := low(yVals))
      pad := abs(yDiff - xDiff)/2
      yDiff > xDiff => [segment(xLo - pad, xHi + pad), yVals]
      [xVals, segment(yLo - pad, yHi + pad)]

    select : (L Pt, Pt -> SF, (SF, SF) -> SF) -> SF
    select(l, f, g) ==
      m := f first l
      for p in rest l repeat m := g(m, f p)
      m

    xRange0(list : L Pt) == select(list, xCoord, min) .. select(list, xCoord, max)
    yRange0(list : L Pt) == select(list, yCoord, min) .. select(list, yCoord, max)

    select2 : (L L Pt, L Pt -> SF, (SF, SF) -> SF) -> SF
    select2(l, f, g) ==
      m := f first l
      for p in rest l repeat m := g(m, f p)
      m

    xRange(list : L L Pt) ==
      select2(list, (u1 : L(Pt)) : SF +-> low(xRange0(u1)), min)..
          select2(list, (v1 : L(Pt)) : SF +-> high(xRange0(v1)), max)

    yRange(list : L L Pt) ==
      select2(list, (u1 : L(Pt)) : SF +-> low(yRange0(u1)), min)..
          select2(list, (v1 : L(Pt)) : SF +-> high(yRange0(v1)), max)

  --%Exported Functions
    calcRanges(llp) ==
      drawToScale() => drawToScaleRanges(xRange llp, yRange llp)
      [xRange llp, yRange llp]

--Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
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