RE: Uneven FrameTicks with ExtendGraphics

*To*: mathgroup at smc.vnet.net*Subject*: [mg36586] RE: [mg36560] Uneven FrameTicks with ExtendGraphics*From*: "Wolf, Hartmut" <Hartmut.Wolf at t-systems.com>*Date*: Fri, 13 Sep 2002 01:13:55 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

>-----Original Message----- >From: Tom Aldenberg [mailto:Tom.Aldenberg at rivm.nl] To: mathgroup at smc.vnet.net >Sent: Wednesday, September 11, 2002 7:28 PM >Subject: [mg36586] [mg36560] Uneven FrameTicks with ExtendGraphics > > >Dear MathGroup, > >To plot FrameTicks outward with the same style as the Frame, I use >ExtendGraphics in the following way. > >Needs["ExtendGraphics`Ticks`"]; > >tf[min_,max_] := TickFunction[min, max, MajorStyle -> >{Thickness[0.003]}, > MajorLength - > {0, 0.01}, MinorStyle -> {Thickness[0.003]}, >MinorLength -> {0, 0.005}] > >Plot [-2.4 (x+6) (x-8), {x, -6.2, 9.2}, FrameTicks -> {tf, tf, >None, None}, >AspectRatio -> 18/25, Frame -> True, DefaultFont -> >{"Helvetica-Bold", 12}, >Axes -> None, >FrameStyle -> Thickness[0.003], FrameLabel -> {"x", "y", None, None}, >PlotStyle -> Thickness[0.006], >ImageSize -> 504]; > >(instead of the same Plot statement with FrameTicks -> {Automatic, >Automatic, None, None}) > >This arrangement of major and minor ticks is clearly unacceptable. The >minor ticks do not divide > intervals of adjacent labelled major ticks into equal parts. > >Are there other solutions? I have noticed that some major statistical >(plotting) programs don't do minor ticks at all. > >Tom Aldenberg >RIVM >Bilthoven >Netherlands > > Several alternatives (if the default ticks of Plot, Show that is, wouldn't do): (1) generate the ticks explicitly (to get control over supplied min, max values for TickFunction): yticks = tf[-40., 120.] xticks = tf[-6.2, 9.2] Plot[-2.4 (x + 6) (x - 8), {x, -6.2, 9.2}, FrameTicks -> {xticks, yticks, None, None}, ...] (2) try the Option TickNumbers, e.g. tf[min_, max_] := TickFunction[min, max, MajorStyle -> {Thickness[0.005]}, MajorLength -> {0, 0.01}, MinorStyle -> {Thickness[0.003]}, MinorLength -> {0, 0.005}, TickNumbers -> {5, 25}] gives an acceptable result, or TickNumbers -> {6, 18}; with TickNumbers -> {8, 8} you'll have no minor ticks. (3) redefine the tick function's helper Begin["ExtendGraphics`Ticks`Private`"] ?? TickPosition "TickPosition[ min, max, num] returns a list of at most num nicely rounded positions between min and max. These can be used for tick mark positions." TickPosition[x0_Real, x1_Real, (num_Integer)?Positive] := Block[{dist, scale, min, max, i, delta, space}, space = {1., 2., 2.5, 5., 10.}; dist = (x1 - x0)/num; scale = 10.^Floor[Log[10, dist]]; dist = dist/scale; If[dist < 1., dist *= 10.; scale /= 10.]; If[dist >= 10., dist /= 10.; scale *= 10.]; delta = First[Select[space, #1 >= dist & ]]*scale; min = Ceiling[x0/delta]*delta; Table[Floor[x/delta + 0.5]*delta, {x, min, x1, delta}]] End[] There are some things to play with: space, scale, the definition for delta, to get at more nicely rounded positions; or rewrite completely. (4) for best control, define the ticks all by yourself, e.g. yticks1 = Table[{t, t, {0, 0.01`}, {Thickness[0.003`]}} , {t, -25, 100, 25}] yticks2 = DeleteCases[ Table[{t, "", {0, 0.005`}, {Thickness[0.003`]}} , {t, -25, 100, 12.5}], {t_, __} /; Mod[t, 25] == 0] xticks = Join[xticks1, xticks2] xticks1 = Table[{t, t, {0, 0.01`}, {Thickness[0.003`]}} , {t, -5, 7.5, 2.5}] xticks2 = DeleteCases[ Table[{t, "", {0, 0.005`}, {Thickness[0.003`]}} , {t, -7.5, 8.5, 1.25}], {t_, __} /; Mod[t, 2.5] == 0] yticks = Join[yticks1, yticks2] -- Hartmut Wolf