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Is it possible to position ticklabels on negative $y$ axis on its right side? Ticklabels on positive $y$ axis should remain as usual:

enter image description here

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Related: – Mr.Wizard Jun 4 '12 at 10:14
@Mr.Wizard: These are Input/Output characteristics of scalar quantization. When these diagrams are small, the lebels and the curves tend to overlap! – Bhaskar Dey Jun 4 '12 at 10:16

Here's one idea. Notice that the tick-marks are flipped as well.

p = Plot[Round[x], {x, -5, 5}, Exclusions -> None, PlotStyle -> Thick];

ticks = Ticks /. AbsoluteOptions[p];

{yticks, labels} =
     {a_?Negative, b_, c_, x__} :> {a, Sow@Text[b, {0.3, a}];, -c, x},
   ] // Reap;

Show[p, Graphics[labels], Ticks -> {ticks[[1]], yticks}]

Mathematica graphics

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What about the x axis? – Ajasja Jun 4 '12 at 11:43
+1 Nice idea! Why do + and - minor $y$-ticks have different lengths? And why does the $y$-tick at +3.5 seem longer than the one at +3.0? Are these rasterization artefacts? – István Zachar Jun 4 '12 at 11:53
@István thanks. I believe it is a rasterization artifact as it appears even at large sizes. – Mr.Wizard Jun 4 '12 at 12:01
@Ajasja the OP asked for the y axis modification. You could do the same thing for only x (ticks[[2]] -> ticks[[1]] & {0.3, a} -> {a, 0.3}) or for both in two steps. – Mr.Wizard Jun 4 '12 at 12:29
Ahh, sorry, sloppy reading, I was just looking at the example image. +1. – Ajasja Jun 4 '12 at 12:33

Lots of magic numbers, no real scalability and rather specific solution for the given case, but it shows how you can build your own tick function easily from scratch. Since I don't think there is any way to finetune the Axes/AxesStyle/Frame options to suit your needs, this is the best I could suggest at the moment. Or you might want to use David Park's Presentations` package or the CustomTicks` package by Mark Caprio to specify aesthetic tick positions for any range (thanks Szabolcs).

{minX, maxX} = {minY, maxY} = {-5, 5}; (* range *)
{xO, yO} = {0, 0}; (* origo *)
d = .2; (* tick length *)
step = 1; (* tick step *)
offset = 1.5; (* tick label offset *)

Plot[IntegerPart@x, {x, minX, maxX}, Exclusions -> None, 
 PlotStyle -> {Black, Thick}, AspectRatio -> 1, 
 PlotRange -> {{minX, maxX}, {minY, maxY}}, Axes -> False, 
 Epilog -> {
   Black, Line[{{minX, yO}, {maxX, yO}}], Line[{{xO, minY}, {xO, maxY}}],
     Line@{{i, yO}, {i, yO + d}},
     Text[i, {i, yO + d}, {0, -offset}]
     }, {i, minX, xO - 1, step}],(* -x *)
     Line@{{i, yO}, {i, yO - d}},
     Text[i, {i, yO - d}, {0, offset}]
     }, {i, xO + 1, maxX, step}],(* +x *)
     Line@{{xO, i}, {xO + d, i}},
     Text[i, {xO + d, i}, {-offset, 0}]
     }, {i, minY, yO - 1, step}],(* -y *)
     Line@{{xO, i}, {xO - d, i}},
     Text[i, {xO - d, i}, {offset, 0}]
     }, {i, yO + 1, maxY, step}] (* +y *)
   }, PlotRangePadding -> Scaled@.05]

Mathematica graphics

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You could use the CustomTicks package to generate tick positions, it'd make the solution a little easier to modify/reuse. – Szabolcs Jun 4 '12 at 10:47
@Szabolcs: I never used that package, but it seems very useful. Actually, I think it worths its own answer, and would be a perfect starting point for people willing to learn how to use it! So if you have any knowledge, please post your CustomTicks-based solution! – István Zachar Jun 4 '12 at 10:55
@Szabolcs I agree, your suggestion would make a good answer on it's own. – Ajasja Jun 4 '12 at 11:43

This needs some tweaking, but could be a starting point for a more general solution. The idea is to plot the bottom left quadrant of the plot with a Frame top and right, and the top right quadrant of the plot with a Frame bottom and left. Then Inset those into the complete plot.



enter image description here

Clearly there is a problem with all the ticks at the origin, and the insets had to be scaled by trial and error, but there might be a way to automate that.

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Devious workaround. – István Zachar Jun 4 '12 at 11:56

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