15 puzzle game in 3D: Difference between revisions

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→‎{{header|Wren}}: Changed to Wren S/H
(Added a suitable task description (there wasn't one before) and a Go entry.)
m (→‎{{header|Wren}}: Changed to Wren S/H)
 
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* Necessary files: [https://www.dropbox.com/s/8abbcbunkpcuvkl/fifteenpuzzle3d.zip?dl=0 Files for 15 Puzzle Game in 3D] as used by the Ring entry.
 
 
 
=={{header|Go}}==
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The game is controlled by the arrow keys (mouse movement is not supported) which move the white cube left, right, up or down exchanging positions with the colored cube already occupying that position. The number of moves is continually updated and, if the player is eventually successful in assembling the cubes in order, an appropriate message is displayed, the white cube changes to dark green and displays the number 16.
<langsyntaxhighlight lang="go">package main
 
import (
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rl.CloseWindow()
}</langsyntaxhighlight>
 
=={{header|Phix}}==
{{libheader|Phix/online}}
You can run this online [http://phix.x10.mx/p2js/153D.htm here].
<!--<syntaxhighlight lang="phix">(phixonline)-->
<span style="color: #000080;font-style:italic;">--
-- demo\rosetta\15_puzzle_game_in_3D.exw
-- =====================================
--
-- Contains big chunks of demo\rosetta\DrawRotatingCube.exw
-- and demo\pGUI\r3d.exw
-- and demo\rosetta\Solve15puzzle_simple.exw
-- (but modified to solve an 8 or 15-puzzle,
-- and recursive ==&gt; re-entrant iterative.)
--
-- Use the up/down/left/right keys,
-- or 's' to single-step-solve, or when solved re-scramble.
-- or '8' to toggle between the 8 and 15 games. NB: it can
-- spend a very long time just thinking about a 15-puzzle,
-- but should still be perfectly playable, and keying 's'
-- when thinking/before it has managed to find a solution
-- should re-scramble to something hopefully a bit easier.
--</span>
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">without</span> <span style="color: #000000;">debug</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">pGUI</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #000000;">VM</span><span style="color: #0000FF;">\</span><span style="color: #000000;">pcmdlnN</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #000000;">pcurrdir</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #000000;">pgetpath</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #000000;">VM</span><span style="color: #0000FF;">\</span><span style="color: #000000;">pcfunc</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #000000;">pfile</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #000000;">VM</span><span style="color: #0000FF;">\</span><span style="color: #000000;">pprntfN</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #7060A8;">get_routine_info</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #000000;">VM</span><span style="color: #0000FF;">\</span><span style="color: #000000;">pTime</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #7060A8;">scanf</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #000000;">pdir</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #000000;">penv</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">with</span> <span style="color: #000000;">debug</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">title</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"8 puzzle game in 3D"</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">iterations_per_timeslice</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">100_000</span> <span style="color: #000080;font-style:italic;">-- too low ==&gt; too slow, but (obviously)
-- too high ==&gt; responsiveness:=sluggish
-- 100K gives me around 20% CPU usage,
-- that is, when in "thinking" mode.</span>
<span style="color: #004080;">Ihandle</span> <span style="color: #000000;">dlg</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">canvas</span>
<span style="color: #004080;">cdCanvas</span> <span style="color: #000000;">cd_canvas</span>
<span style="color: #000080;font-style:italic;">-- &lt;copied from demo\rosetta\DrawRotatingCube.exw&gt;:
--
-- First, define 8 corners equidistant from {0,0,0}:
--
-- 6-----2
-- 5-----1 3
-- 8-----4
--
-- ie the right face is 1-2-3-4 clockwise, and the left face
-- is 5-6-7-8 counter-clockwise (unless using x-ray vision).
--</span>
<span style="color: #008080;">enum</span> <span style="color: #000000;">X</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">Y</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">Z</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">l</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">100</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">corners</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- 1 (front top right)</span>
<span style="color: #0000FF;">{+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- 2 (back top "right")</span>
<span style="color: #0000FF;">{+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- 3 (back btm "right")</span>
<span style="color: #0000FF;">{+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- 4 (front btm right)</span>
<span style="color: #0000FF;">{-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- 5 (front top left)</span>
<span style="color: #0000FF;">{-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- 6 (back top "left")</span>
<span style="color: #0000FF;">{-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- 7 (back btm "left")</span>
<span style="color: #0000FF;">{-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}}</span> <span style="color: #000080;font-style:italic;">-- 8 (front btm left)
-- I put left/right in quotes for the back face as a reminder
-- those match the above diagram, but of course they would be
-- swapped were you looking "at" the face/rotated it by 180.</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">faces</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #004600;">CD_RED</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- right</span>
<span style="color: #0000FF;">{</span><span style="color: #004600;">CD_YELLOW</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- top</span>
<span style="color: #0000FF;">{</span><span style="color: #004600;">CD_DARK_GREEN</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- front</span>
<span style="color: #0000FF;">{</span><span style="color: #004600;">CD_BLUE</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- back</span>
<span style="color: #0000FF;">{</span><span style="color: #004600;">CD_WHITE</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- bottom</span>
<span style="color: #0000FF;">{</span><span style="color: #004600;">CD_ORANGE</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">8</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">}}</span> <span style="color: #000080;font-style:italic;">-- left
-- &lt;this bit not from DrawRotatingCube&gt;</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">colours</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #004600;">CD_DARK_CYAN</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_DARK_YELLOW</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_LIGHT_BLUE</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_INDIGO</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_ORANGE</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_PURPLE</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_MAGENTA</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_OLIVE</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_CYAN</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_YELLOW</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_BLUE</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_VIOLET</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_LIGHT_GREEN</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_DARK_BLUE</span><span style="color: #0000FF;">,</span>
<span style="color: #004600;">CD_DARK_RED</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">/</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">/</span><span style="color: #000000;">8</span>
<span style="color: #000080;font-style:italic;">-- (ps: the 6 has a curved top, whereas the 9 has a flat bottom.)</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">digits</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}},</span> <span style="color: #000080;font-style:italic;">--0</span>
<span style="color: #0000FF;">{{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}},</span> <span style="color: #000080;font-style:italic;">-- 1</span>
<span style="color: #0000FF;">{{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}},</span> <span style="color: #000080;font-style:italic;">-- 2</span>
<span style="color: #0000FF;">{{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}},</span> <span style="color: #000080;font-style:italic;">--3</span>
<span style="color: #0000FF;">{{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}},</span> <span style="color: #000080;font-style:italic;">-- 4</span>
<span style="color: #0000FF;">{{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}},</span> <span style="color: #000080;font-style:italic;">-- 5</span>
<span style="color: #0000FF;">{{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}},</span> <span style="color: #000080;font-style:italic;">-- 6</span>
<span style="color: #0000FF;">{{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}},</span> <span style="color: #000080;font-style:italic;">-- 7</span>
<span style="color: #0000FF;">{{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}},</span> <span style="color: #000080;font-style:italic;">--8</span>
<span style="color: #0000FF;">{{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">}}}</span> <span style="color: #000080;font-style:italic;">--9
-- initial rotation onto the required face</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">irot</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">90</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- right</span>
<span style="color: #0000FF;">{-</span><span style="color: #000000;">90</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- top</span>
<span style="color: #0000FF;">{</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- front</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">180</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- back</span>
<span style="color: #0000FF;">{</span> <span style="color: #000000;">90</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- bottom</span>
<span style="color: #0000FF;">{</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">90</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">}}</span> <span style="color: #000080;font-style:italic;">-- left
--&lt;/not from DrawRotatingCube, but the following lot is&gt;
-- rotation angles, 0..359, on a timer</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">rx</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">45</span><span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- initially makes cube like a H</span>
<span style="color: #000000;">ry</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">35</span><span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- " " " italic H</span>
<span style="color: #000000;">rz</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">naxes</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">Y</span><span style="color: #0000FF;">,</span><span style="color: #000000;">Z</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- (rotate about the X-axis)</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">X</span><span style="color: #0000FF;">,</span><span style="color: #000000;">Z</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- (rotate about the Y-axis)</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">X</span><span style="color: #0000FF;">,</span><span style="color: #000000;">Y</span><span style="color: #0000FF;">}}</span> <span style="color: #000080;font-style:italic;">-- (rotate about the Z-axis)</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">rotate</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">points</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">atom</span> <span style="color: #000000;">angle</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">axis</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">--
-- rotate points by the specified angle about the given axis
--</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">radians</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">angle</span><span style="color: #0000FF;">*</span><span style="color: #004600;">CD_DEG2RAD</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">sin_t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sin</span><span style="color: #0000FF;">(</span><span style="color: #000000;">radians</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">cos_t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">cos</span><span style="color: #0000FF;">(</span><span style="color: #000000;">radians</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">nx</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ny</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">naxes</span><span style="color: #0000FF;">[</span><span style="color: #000000;">axis</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">points</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">x</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">nx</span><span style="color: #0000FF;">],</span>
<span style="color: #000000;">y</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">ny</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">nx</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">x</span><span style="color: #0000FF;">*</span><span style="color: #000000;">cos_t</span> <span style="color: #0000FF;">-</span> <span style="color: #000000;">y</span><span style="color: #0000FF;">*</span><span style="color: #000000;">sin_t</span>
<span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">ny</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">y</span><span style="color: #0000FF;">*</span><span style="color: #000000;">cos_t</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">x</span><span style="color: #0000FF;">*</span><span style="color: #000000;">sin_t</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">points</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">projection</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">points</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">atom</span> <span style="color: #000000;">d</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">--
-- project points from {0,0,d} onto the perpendicular plane through {0,0,0}
--</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">points</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">atom</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x</span><span style="color: #0000FF;">,</span><span style="color: #000000;">y</span><span style="color: #0000FF;">,</span><span style="color: #000000;">z</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span>
<span style="color: #000000;">denom</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">-</span><span style="color: #000000;">z</span><span style="color: #0000FF;">/</span><span style="color: #000000;">d</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">X</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">x</span><span style="color: #0000FF;">/</span><span style="color: #000000;">denom</span>
<span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">Y</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">y</span><span style="color: #0000FF;">/</span><span style="color: #000000;">denom</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">points</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">nearest</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">points</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">--
-- return the index of the nearest point (highest z value)
--</span>
<span style="color: #008080;">return</span> <span style="color: #7060A8;">largest</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">vslice</span><span style="color: #0000FF;">(</span><span style="color: #000000;">points</span><span style="color: #0000FF;">,</span><span style="color: #000000;">Z</span><span style="color: #0000FF;">),</span><span style="color: #004600;">true</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #000080;font-style:italic;">-- (this has has a scale added, which DrawRotatingCube.exw does not,
-- plus the drawing of the digits on the faces is also new here.)</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">draw_cube</span><span style="color: #0000FF;">(</span><span style="color: #004080;">atom</span> <span style="color: #000000;">cx</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">cy</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">scale</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">digit</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">-- {cx,cy} is the centre point of the canvas
-- A scale of 100 should draw ~2.5"/6cm cube on a 480x480 canvas
-- digit can (now in fact) be 0..15, 0 draws a 1..6 standard dice</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">points</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sq_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">corners</span><span style="color: #0000FF;">,</span><span style="color: #000000;">scale</span><span style="color: #0000FF;">/</span><span style="color: #000000;">100</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">points</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">rotate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">points</span><span style="color: #0000FF;">,</span><span style="color: #000000;">rx</span><span style="color: #0000FF;">,</span><span style="color: #000000;">X</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">points</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">rotate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">points</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ry</span><span style="color: #0000FF;">,</span><span style="color: #000000;">Y</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">points</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">rotate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">points</span><span style="color: #0000FF;">,</span><span style="color: #000000;">rz</span><span style="color: #0000FF;">,</span><span style="color: #000000;">Z</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">points</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">projection</span><span style="color: #0000FF;">(</span><span style="color: #000000;">points</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1000</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">np</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">nearest</span><span style="color: #0000FF;">(</span><span style="color: #000000;">points</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">--
-- find the three faces that contain the nearest point,
-- then for each of those faces let diag be the point
-- that is diagonally opposite said nearest point, and
-- order by/draw those faces furthest diag away first.
--</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">faceset</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">faces</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">fi</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">faces</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">np</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fi</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- k:=2..5, or 0</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span> <span style="color: #008080;">then</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">diag</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">2</span> <span style="color: #000080;font-style:italic;">-- {2,3,4,5} --&gt; {4,5,2,3}
-- aka swap 2&lt;=&gt;4 & 3&lt;=&gt;5</span>
<span style="color: #000000;">diag</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">fi</span><span style="color: #0000FF;">[</span><span style="color: #000000;">diag</span><span style="color: #0000FF;">]</span> <span style="color: #000080;font-style:italic;">-- 1..8, diagonally opp. np</span>
<span style="color: #000000;">faceset</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">faceset</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">diag</span><span style="color: #0000FF;">][</span><span style="color: #000000;">Z</span><span style="color: #0000FF;">],</span><span style="color: #000000;">i</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000000;">faceset</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sort</span><span style="color: #0000FF;">(</span><span style="color: #000000;">faceset</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">faceset</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">fn</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">faceset</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">face</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">faces</span><span style="color: #0000FF;">[</span><span style="color: #000000;">fn</span><span style="color: #0000FF;">]</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">clr</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">digit</span><span style="color: #0000FF;">?</span><span style="color: #000000;">colours</span><span style="color: #0000FF;">[</span><span style="color: #000000;">digit</span><span style="color: #0000FF;">]:</span><span style="color: #000000;">face</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">])</span>
<span style="color: #7060A8;">cdCanvasSetForeground</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">,</span><span style="color: #000000;">clr</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">-- first fill sides (with bresenham edges), then
-- redraw edges, but anti-aliased aka smoother</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">modes</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #004600;">CD_FILL</span><span style="color: #0000FF;">,</span><span style="color: #004600;">CD_CLOSED_LINES</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">m</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">modes</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8;">cdCanvasBegin</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">,</span><span style="color: #000000;">modes</span><span style="color: #0000FF;">[</span><span style="color: #000000;">m</span><span style="color: #0000FF;">])</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">fdx</span><span style="color: #0000FF;">=</span><span style="color: #000000;">2</span> <span style="color: #008080;">to</span> <span style="color: #000000;">5</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">pt</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">face</span><span style="color: #0000FF;">[</span><span style="color: #000000;">fdx</span><span style="color: #0000FF;">]]</span>
<span style="color: #7060A8;">cdCanvasVertex</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">,</span><span style="color: #000000;">cx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">pt</span><span style="color: #0000FF;">[</span><span style="color: #000000;">X</span><span style="color: #0000FF;">],</span><span style="color: #000000;">cy</span><span style="color: #0000FF;">-</span><span style="color: #000000;">pt</span><span style="color: #0000FF;">[</span><span style="color: #000000;">Y</span><span style="color: #0000FF;">])</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">cdCanvasEnd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">cdCanvasSetForeground</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">,</span><span style="color: #004600;">CD_BLACK</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000080;font-style:italic;">-- &lt;/DrawRotatingCube.exw&gt;
-- now draw the number(s) on the face</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">digit</span><span style="color: #0000FF;">?</span><span style="color: #000000;">digit</span><span style="color: #0000FF;">:</span><span style="color: #000000;">fn</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">skip_point</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">dp</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">d2</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">d</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">9</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">dp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">digits</span><span style="color: #0000FF;">[</span><span style="color: #000000;">d</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">dp</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">digits</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">])</span> <span style="color: #000080;font-style:italic;">-- (ie a '1')</span>
<span style="color: #000000;">d2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">digits</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">])</span>
<span style="color: #000000;">skip_point</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dp</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">dx</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d</span><span style="color: #0000FF;">=</span><span style="color: #000000;">11</span><span style="color: #0000FF;">?</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">:</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">x2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1.5</span><span style="color: #0000FF;">*</span><span style="color: #000000;">k</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dp</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> <span style="color: #000000;">dp</span><span style="color: #0000FF;">[</span><span style="color: #000000;">l</span><span style="color: #0000FF;">][</span><span style="color: #000000;">X</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">dx</span> <span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d2</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> <span style="color: #000000;">d2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">l</span><span style="color: #0000FF;">][</span><span style="color: #000000;">X</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">x2</span> <span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000000;">dp</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">d2</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">dp</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sq_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">scale</span><span style="color: #0000FF;">/</span><span style="color: #000000;">100</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">-- rotate the digit(s) onto the required face</span>
<span style="color: #000000;">dp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">rotate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">irot</span><span style="color: #0000FF;">[</span><span style="color: #000000;">fn</span><span style="color: #0000FF;">][</span><span style="color: #000000;">X</span><span style="color: #0000FF;">],</span><span style="color: #000000;">X</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">dp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">rotate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">irot</span><span style="color: #0000FF;">[</span><span style="color: #000000;">fn</span><span style="color: #0000FF;">][</span><span style="color: #000000;">Y</span><span style="color: #0000FF;">],</span><span style="color: #000000;">Y</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">-- then rotate to match the cube</span>
<span style="color: #000000;">dp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">rotate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">rx</span><span style="color: #0000FF;">,</span><span style="color: #000000;">X</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">dp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">rotate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ry</span><span style="color: #0000FF;">,</span><span style="color: #000000;">Y</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">dp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">rotate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">rz</span><span style="color: #0000FF;">,</span><span style="color: #000000;">Z</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">dp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">projection</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1000</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">atom</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">y1</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dp</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">=</span><span style="color: #000000;">2</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dp</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">atom</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">y2</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dp</span><span style="color: #0000FF;">[</span><span style="color: #000000;">l</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">skip_point</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">cdCanvasLine</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">,</span><span style="color: #000000;">cx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">cy</span><span style="color: #0000FF;">-</span><span style="color: #000000;">y1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">cx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">cy</span><span style="color: #0000FF;">-</span><span style="color: #000000;">y2</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">y1</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">y2</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #000080;font-style:italic;">-- &lt;copied from demo\pGUI\r3d.exw&gt;:</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">num</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">90</span><span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- number of lines</span>
<span style="color: #000000;">dist</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">11000</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">eye</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1450</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">dz</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">430</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">stars</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">({</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">eye</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">},</span><span style="color: #000000;">num</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">draw_stars</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">w</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">h</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">w2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">w</span><span style="color: #0000FF;">/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">h2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">h</span><span style="color: #0000FF;">/</span><span style="color: #000000;">2</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">num</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">atom</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x</span><span style="color: #0000FF;">,</span><span style="color: #000000;">y</span><span style="color: #0000FF;">,</span><span style="color: #000000;">z</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">stars</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span>
<span style="color: #000000;">px</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">eye</span><span style="color: #0000FF;">/</span><span style="color: #000000;">z</span><span style="color: #0000FF;">*</span><span style="color: #000000;">x</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">w2</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">py</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">eye</span><span style="color: #0000FF;">/</span><span style="color: #000000;">z</span><span style="color: #0000FF;">*</span><span style="color: #000000;">y</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">h2</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">px2</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">eye</span><span style="color: #0000FF;">/(</span><span style="color: #000000;">z</span><span style="color: #0000FF;">+</span><span style="color: #000000;">250</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">x</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">w2</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">py2</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">eye</span><span style="color: #0000FF;">/(</span><span style="color: #000000;">z</span><span style="color: #0000FF;">+</span><span style="color: #000000;">250</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">y</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">h2</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">z</span><span style="color: #0000FF;"><</span><span style="color: #000000;">eye</span> <span style="color: #008080;">or</span> <span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">px</span><span style="color: #0000FF;">)></span><span style="color: #000000;">w</span> <span style="color: #008080;">or</span> <span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">py</span><span style="color: #0000FF;">)></span><span style="color: #000000;">h</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">stars</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{(</span><span style="color: #7060A8;">rnd</span><span style="color: #0000FF;">()-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">w</span><span style="color: #0000FF;">*</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,(</span><span style="color: #7060A8;">rnd</span><span style="color: #0000FF;">()-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">h</span><span style="color: #0000FF;">*</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">rand</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dist</span><span style="color: #0000FF;">)}</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">stars</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">Z</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">z</span><span style="color: #0000FF;">-</span><span style="color: #000000;">dz</span>
<span style="color: #7060A8;">cdCanvasSetForeground</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">,</span><span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">odd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">)?</span><span style="color: #004600;">CD_WHITE</span><span style="color: #0000FF;">:</span><span style="color: #004600;">CD_YELLOW</span><span style="color: #0000FF;">))</span>
<span style="color: #7060A8;">cdCanvasLine</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">,</span><span style="color: #000000;">px</span><span style="color: #0000FF;">,</span><span style="color: #000000;">py</span><span style="color: #0000FF;">,</span><span style="color: #000000;">px2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">py2</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #000080;font-style:italic;">--&lt;/r3d.exw&gt;
--&lt;from demo/rosetta/Solve15puzzle_simple.exw&gt;</span>
<span style="color: #008080;">enum</span> <span style="color: #000000;">left</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">down</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">up</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">right</span> <span style="color: #000080;font-style:italic;">-- (nb 5-move flips it, as in down===5-up, etc)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">N</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">-- use '8' to toggle between 8 and 15 games</span>
<span style="color: #000000;">N2</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">space</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">valid_moves</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">zero_cost</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">piecemasks</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">goal</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">board</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">moves</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #000080;font-style:italic;">-- Based on demo/rosetta/Solve15puzzle_simple.exw, but
-- made re-entrant iterative rather than recursive,
-- and able to solve either an 8 or 15 puzzle, and to
-- use an entirely private copy of the board, etc.</span>
<span style="color: #008080;">enum</span> <span style="color: #000000;">RESET</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">THINKING</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">SOLVED</span> <span style="color: #000080;font-style:italic;">-- (solve_state values)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">solve_state</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">RESET</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">iscount</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">enum</span> <span style="color: #000000;">MOVE</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000080;font-style:italic;">/*SKIP=2, SPACE=3, NFREE=4,*/</span> <span style="color: #000000;">UNDO</span><span style="color: #0000FF;">=</span><span style="color: #000000;">5</span> <span style="color: #000080;font-style:italic;">-- (solve_stack entries)</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">solve_board</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">solve_time</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">solve_t0</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">iterative_solve</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">solve_state</span><span style="color: #0000FF;">=</span><span style="color: #000000;">RESET</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">solve_state</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">THINKING</span>
<span style="color: #000080;font-style:italic;">--
-- The following is equivalent to:
-- move := left-1 (aka no move)
-- skip_move := 0 (aka no skip)
-- idle_space := space
-- nfree := 0
-- undo := false
--</span>
<span style="color: #000000;">solve_stack</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">space</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">}}</span>
<span style="color: #000000;">solve_board</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">board</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">solve_t0</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">iscount</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">nleft</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">iterations_per_timeslice</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">new_space</span> <span style="color: #000080;font-style:italic;">-- (scratch)</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">nleft</span><span style="color: #0000FF;">></span><span style="color: #000000;">0</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">move</span><span style="color: #0000FF;">,</span><span style="color: #000000;">skip_move</span><span style="color: #0000FF;">,</span><span style="color: #000000;">idle_space</span><span style="color: #0000FF;">,</span><span style="color: #000000;">nfree</span><span style="color: #0000FF;">,</span><span style="color: #000000;">undo</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">[$]</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">undo</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">new_space</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">valid_moves</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idle_space</span><span style="color: #0000FF;">][</span><span style="color: #000000;">move</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">solve_board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">new_space</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">solve_board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idle_space</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">solve_board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idle_space</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">else</span>
<span style="color: #7060A8;">assert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solve_board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idle_space</span><span style="color: #0000FF;">]=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">move</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">move</span><span style="color: #0000FF;">></span><span style="color: #000000;">right</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
<span style="color: #000080;font-style:italic;">-- (as per RESET above)</span>
<span style="color: #7060A8;">assert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">idle_space</span><span style="color: #0000FF;">=</span><span style="color: #000000;">space</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">nfree</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #000000;">solve_stack</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">idle_space</span><span style="color: #0000FF;">,</span><span style="color: #000000;">nfree</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">}}</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">solve_stack</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..$-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #000080;font-style:italic;">-- (pop)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">[$][</span><span style="color: #000000;">MOVE</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">move</span>
<span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">[$][</span><span style="color: #000000;">UNDO</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">false</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">move</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">skip_move</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">new_space</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">valid_moves</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idle_space</span><span style="color: #0000FF;">][</span><span style="color: #000000;">move</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">new_space</span> <span style="color: #008080;">then</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">piece</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">solve_board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">new_space</span><span style="color: #0000FF;">],</span>
<span style="color: #000000;">zcsmv</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">zero_cost</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idle_space</span><span style="color: #0000FF;">][</span><span style="color: #000000;">move</span><span style="color: #0000FF;">],</span>
<span style="color: #000000;">pmask</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">piecemasks</span><span style="color: #0000FF;">[</span><span style="color: #000000;">piece</span><span style="color: #0000FF;">],</span>
<span style="color: #000000;">zcost</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #7060A8;">and_bits</span><span style="color: #0000FF;">(</span><span style="color: #000000;">zcsmv</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pmask</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- (0==free, 1==not)</span>
<span style="color: #000000;">nfree</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">zcost</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">nfree</span><span style="color: #0000FF;">>=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">[$][</span><span style="color: #000000;">UNDO</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">true</span> <span style="color: #000080;font-style:italic;">-- (set the undo flag)</span>
<span style="color: #000000;">solve_board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idle_space</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">piece</span>
<span style="color: #000000;">solve_board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">new_space</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">idle_space</span><span style="color: #0000FF;">=</span><span style="color: #000000;">piece</span> <span style="color: #008080;">and</span> <span style="color: #000000;">solve_board</span><span style="color: #0000FF;">=</span><span style="color: #000000;">goal</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">moves</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #008000;">' '</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">))</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">move</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">MOVE</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">moves</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"ludr"</span><span style="color: #0000FF;">[</span><span style="color: #000000;">move</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000000;">solve_state</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">SOLVED</span>
<span style="color: #008080;">exit</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">iscount</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #000000;">solve_stack</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solve_stack</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">-</span><span style="color: #000000;">move</span><span style="color: #0000FF;">,</span><span style="color: #000000;">new_space</span><span style="color: #0000FF;">,</span><span style="color: #000000;">nfree</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">nleft</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #000000;">solve_time</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"(%s)"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">elapsed</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">time</span><span style="color: #0000FF;">()-</span><span style="color: #000000;">solve_t0</span><span style="color: #0000FF;">)})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">set_title</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">board</span><span style="color: #0000FF;">=</span><span style="color: #000000;">goal</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">moves</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #008080;">return</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%s - solved"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">title</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">elsif</span> <span style="color: #000000;">solve_state</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">THINKING</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%s - thinking (%,d tries)"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">title</span><span style="color: #0000FF;">,</span><span style="color: #000000;">iscount</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">else</span>
<span style="color: #008080;">return</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%s - solvable in %d moves %s"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">title</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">moves</span><span style="color: #0000FF;">),</span><span style="color: #000000;">solve_time</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">move</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">d</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">d</span> <span style="color: #008080;">then</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">new_space</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">valid_moves</span><span style="color: #0000FF;">[</span><span style="color: #000000;">space</span><span style="color: #0000FF;">][</span><span style="color: #000000;">d</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">new_space</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">moves</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">and</span> <span style="color: #000000;">moves</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]=</span><span style="color: #008000;">"ludr"</span><span style="color: #0000FF;">[</span><span style="color: #000000;">d</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">moves</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">moves</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">..$]</span>
<span style="color: #000000;">solve_time</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">solve_state</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">RESET</span>
<span style="color: #000000;">moves</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span> <span style="color: #000080;font-style:italic;">-- (force re-examination)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">space</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">new_space</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">new_space</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #000000;">space</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">new_space</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">scramble</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">5000</span> <span style="color: #008080;">do</span> <span style="color: #000000;">move</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">rand</span><span style="color: #0000FF;">(</span><span style="color: #000000;">4</span><span style="color: #0000FF;">))</span> <span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000000;">solve_state</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">RESET</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">cubies</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">rxyz</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">reset</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">N2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">N</span><span style="color: #0000FF;">*</span><span style="color: #000000;">N</span>
<span style="color: #000000;">valid_moves</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">),</span><span style="color: #000000;">N2</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">zero_cost</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">),</span><span style="color: #000000;">N2</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">piecemasks</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sq_power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">N2</span><span style="color: #0000FF;">-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">))</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">square</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">N2</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">s_row</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">((</span><span style="color: #000000;">square</span><span style="color: #0000FF;">+</span><span style="color: #000000;">N</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">N</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">s_col</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">((</span><span style="color: #000000;">square</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span><span style="color: #000000;">N</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">move</span><span style="color: #0000FF;">=</span><span style="color: #000000;">left</span> <span style="color: #008080;">to</span> <span style="color: #000000;">right</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- (via up/down)</span>
<span style="color: #008080;">if</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">move</span><span style="color: #0000FF;">=</span><span style="color: #000000;">left</span> <span style="color: #008080;">and</span> <span style="color: #000000;">s_col</span><span style="color: #0000FF;">></span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">or</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">move</span><span style="color: #0000FF;">=</span><span style="color: #000000;">down</span> <span style="color: #008080;">and</span> <span style="color: #000000;">s_row</span><span style="color: #0000FF;">></span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">or</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">move</span><span style="color: #0000FF;">=</span><span style="color: #000000;">up</span> <span style="color: #008080;">and</span> <span style="color: #000000;">s_row</span><span style="color: #0000FF;"><</span><span style="color: #000000;">N</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">or</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">move</span><span style="color: #0000FF;">=</span><span style="color: #000000;">right</span> <span style="color: #008080;">and</span> <span style="color: #000000;">s_col</span><span style="color: #0000FF;"><</span><span style="color: #000000;">N</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">origin</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">square</span><span style="color: #0000FF;">+{-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}[</span><span style="color: #000000;">move</span><span style="color: #0000FF;">],</span>
<span style="color: #000000;">o_row</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">((</span><span style="color: #000000;">origin</span><span style="color: #0000FF;">+</span><span style="color: #000000;">N</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">N</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">o_col</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">((</span><span style="color: #000000;">origin</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span><span style="color: #000000;">N</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span>
<span style="color: #000000;">valid_moves</span><span style="color: #0000FF;">[</span><span style="color: #000000;">square</span><span style="color: #0000FF;">][</span><span style="color: #000000;">move</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">origin</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">piece</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">N2</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- (aka target)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">t_row</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">((</span><span style="color: #000000;">piece</span><span style="color: #0000FF;">+</span><span style="color: #000000;">N</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">N</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">t_col</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">((</span><span style="color: #000000;">piece</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span><span style="color: #000000;">N</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">p_md</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t_row</span><span style="color: #0000FF;">-</span><span style="color: #000000;">o_row</span><span style="color: #0000FF;">)+</span><span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t_col</span><span style="color: #0000FF;">-</span><span style="color: #000000;">o_col</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">n_md</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t_row</span><span style="color: #0000FF;">-</span><span style="color: #000000;">s_row</span><span style="color: #0000FF;">)+</span><span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t_col</span><span style="color: #0000FF;">-</span><span style="color: #000000;">s_col</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">n_md</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">p_md</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">zero_cost</span><span style="color: #0000FF;">[</span><span style="color: #000000;">square</span><span style="color: #0000FF;">][</span><span style="color: #000000;">move</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">piecemasks</span><span style="color: #0000FF;">[</span><span style="color: #000000;">piece</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000000;">goal</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">N2</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)&</span><span style="color: #000000;">0</span>
<span style="color: #000000;">board</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">goal</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">space</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">board</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">moves</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #000080;font-style:italic;">-- &lt;/Solve15puzzle_simple.exw&gt;</span>
<span style="color: #000000;">cubies</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">N</span><span style="color: #0000FF;">=</span><span style="color: #000000;">3</span><span style="color: #0000FF;">?{{-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">},{</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">},{+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">},{</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">},{+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">},{</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">},{+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}}</span>
<span style="color: #0000FF;">:</span><span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">N</span><span style="color: #0000FF;">=</span><span style="color: #000000;">4</span><span style="color: #0000FF;">?{{-</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{-</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{-</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">},</span>
<span style="color: #0000FF;">{-</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">,+</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">}}</span>
<span style="color: #0000FF;">:</span><span style="color: #000000;">9</span><span style="color: #0000FF;">/</span><span style="color: #000000;">0</span><span style="color: #0000FF;">))</span>
<span style="color: #000000;">scramble</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">rxyz</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sq_rand</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">({</span><span style="color: #000000;">45</span><span style="color: #0000FF;">,</span><span style="color: #000000;">35</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">},</span><span style="color: #000000;">N2</span><span style="color: #0000FF;">))</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">canvas_action_cb</span><span style="color: #0000FF;">(</span><span style="color: #004080;">Ihandle</span> <span style="color: #000000;">canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">cdCanvasActivate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">cdCanvasClear</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">w</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">h</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupGetIntInt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"DRAWSIZE"</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">cx</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">w</span><span style="color: #0000FF;">/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">cy</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">h</span><span style="color: #0000FF;">/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">dxy</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">min</span><span style="color: #0000FF;">(</span><span style="color: #000000;">w</span><span style="color: #0000FF;">,</span><span style="color: #000000;">h</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">size</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dxy</span><span style="color: #0000FF;">/</span><span style="color: #000000;">4.5</span>
<span style="color: #000000;">draw_stars</span><span style="color: #0000FF;">(</span><span style="color: #000000;">w</span><span style="color: #0000FF;">,</span><span style="color: #000000;">h</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">N2</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">bi</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">board</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">bi</span> <span style="color: #008080;">then</span>
<span style="color: #004080;">atom</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">dx</span><span style="color: #0000FF;">,</span><span style="color: #000000;">dy</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">cubies</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">r</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">rx</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ry</span><span style="color: #0000FF;">,</span><span style="color: #000000;">rz</span><span style="color: #0000FF;">,</span><span style="color: #000000;">r</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">rxyz</span><span style="color: #0000FF;">[</span><span style="color: #000000;">bi</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">rx</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">rx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">0.25</span><span style="color: #0000FF;">*</span><span style="color: #000000;">r</span><span style="color: #0000FF;">,</span><span style="color: #000000;">360</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">ry</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ry</span><span style="color: #0000FF;">+</span><span style="color: #000000;">0.50</span><span style="color: #0000FF;">*</span><span style="color: #000000;">r</span><span style="color: #0000FF;">,</span><span style="color: #000000;">360</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">rz</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">rz</span><span style="color: #0000FF;">+</span><span style="color: #000000;">0.75</span><span style="color: #0000FF;">*</span><span style="color: #000000;">r</span><span style="color: #0000FF;">,</span><span style="color: #000000;">360</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">rxyz</span><span style="color: #0000FF;">[</span><span style="color: #000000;">bi</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">rx</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ry</span><span style="color: #0000FF;">,</span><span style="color: #000000;">rz</span><span style="color: #0000FF;">,</span><span style="color: #000000;">r</span><span style="color: #0000FF;">}</span>
<span style="color: #000000;">draw_cube</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">dx</span><span style="color: #0000FF;">*</span><span style="color: #000000;">dxy</span><span style="color: #0000FF;">,</span><span style="color: #000000;">cy</span><span style="color: #0000FF;">-</span><span style="color: #000000;">dy</span><span style="color: #0000FF;">*</span><span style="color: #000000;">dxy</span><span style="color: #0000FF;">,</span><span style="color: #000000;">size</span><span style="color: #0000FF;">,</span><span style="color: #000000;">bi</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">cdCanvasFlush</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">IupSetStrAttribute</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dlg</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"TITLE"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">set_title</span><span style="color: #0000FF;">())</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">IUP_DEFAULT</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">canvas_map_cb</span><span style="color: #0000FF;">(</span><span style="color: #004080;">Ihandle</span> <span style="color: #000000;">canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">IupGLMakeCurrent</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">platform</span><span style="color: #0000FF;">()=</span><span style="color: #004600;">JS</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">cd_canvas</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">cdCreateCanvas</span><span style="color: #0000FF;">(</span><span style="color: #004600;">CD_IUP</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">else</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupGetDouble</span><span style="color: #0000FF;">(</span><span style="color: #004600;">NULL</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"SCREENDPI"</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">25.4</span>
<span style="color: #000000;">cd_canvas</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">cdCreateCanvas</span><span style="color: #0000FF;">(</span><span style="color: #004600;">CD_GL</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"10x10 %g"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">res</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #7060A8;">cdCanvasSetBackground</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">,</span> <span style="color: #004600;">CD_BLACK</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">IUP_DEFAULT</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">canvas_resize_cb</span><span style="color: #0000FF;">(</span><span style="color: #004080;">Ihandle</span> <span style="color: #000080;font-style:italic;">/*canvas*/</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">canvas_width</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">canvas_height</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupGetIntInt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"DRAWSIZE"</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupGetDouble</span><span style="color: #0000FF;">(</span><span style="color: #004600;">NULL</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"SCREENDPI"</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">25.4</span>
<span style="color: #7060A8;">cdCanvasSetAttribute</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cd_canvas</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"SIZE"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"%dx%d %g"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">canvas_width</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">canvas_height</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">IUP_DEFAULT</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">key_cb</span><span style="color: #0000FF;">(</span><span style="color: #004080;">Ihandle</span> <span style="color: #000000;">ih</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">atom</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">=</span><span style="color: #004600;">K_ESC</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #004600;">IUP_CLOSE</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000080;font-style:italic;">--
-- aside: the precise mapping of enums/K_XXX/"ludr" is semi-ad-hoc,
-- aka I'm not wasting any effort enforcing strict coherence
-- when a piddling tweak or two (right here) would suffice,
-- aka what does right (etc) really mean anyway, given that
-- for instance piece:up is the same as saying space:down.
--</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">=</span><span style="color: #008000;">'8'</span> <span style="color: #008080;">then</span>
<span style="color: #000080;font-style:italic;">-- toggle between an 8 and 15 game</span>
<span style="color: #000000;">N</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">7</span><span style="color: #0000FF;">-</span><span style="color: #000000;">N</span> <span style="color: #000080;font-style:italic;">-- (3&lt;==&gt;4)</span>
<span style="color: #000000;">reset</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">elsif</span> <span style="color: #7060A8;">lower</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">)=</span><span style="color: #008000;">'s'</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">moves</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">moves</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">],</span><span style="color: #008000;">"ludr"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">scramble</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">,{</span><span style="color: #004600;">K_RIGHT</span><span style="color: #0000FF;">,</span><span style="color: #004600;">K_DOWN</span><span style="color: #0000FF;">,</span><span style="color: #004600;">K_UP</span><span style="color: #0000FF;">,</span><span style="color: #004600;">K_LEFT</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">move</span><span style="color: #0000FF;">(</span><span style="color: #000000;">k</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- (move(0) does nowt)</span>
<span style="color: #7060A8;">IupRedraw</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ih</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">IUP_IGNORE</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">timer_cb</span><span style="color: #0000FF;">(</span><span style="color: #004080;">Ihandln</span> <span style="color: #000080;font-style:italic;">/*ih*/</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">solve_state</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">SOLVED</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">iterative_solve</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #7060A8;">IupRedraw</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">IUP_IGNORE</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">main</span><span style="color: #0000FF;">()</span>
<span style="color: #7060A8;">IupOpen</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">reset</span><span style="color: #0000FF;">()</span>
<span style="color: #000000;">canvas</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupGLCanvas</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"RASTERSIZE=640x480"</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">IupSetCallbacks</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #008000;">"ACTION"</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">Icallback</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"canvas_action_cb"</span><span style="color: #0000FF;">),</span>
<span style="color: #008000;">"MAP_CB"</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">Icallback</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"canvas_map_cb"</span><span style="color: #0000FF;">),</span>
<span style="color: #008000;">"RESIZE_CB"</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">Icallback</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"canvas_resize_cb"</span><span style="color: #0000FF;">),</span>
<span style="color: #008000;">"KEY_CB"</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">Icallback</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"key_cb"</span><span style="color: #0000FF;">)})</span>
<span style="color: #000000;">dlg</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupDialog</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">,</span><span style="color: #008000;">`TITLE="%s"`</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">title</span><span style="color: #0000FF;">})</span>
<span style="color: #7060A8;">IupShow</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dlg</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">IupSetAttribute</span><span style="color: #0000FF;">(</span><span style="color: #000000;">canvas</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"RASTERSIZE"</span><span style="color: #0000FF;">,</span> <span style="color: #004600;">NULL</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">Ihandle</span> <span style="color: #000000;">hTimer</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">IupTimer</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">Icallback</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"timer_cb"</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">30</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">platform</span><span style="color: #0000FF;">()!=</span><span style="color: #004600;">JS</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">IupMainLoop</span><span style="color: #0000FF;">()</span>
<span style="color: #7060A8;">IupClose</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #000000;">main</span><span style="color: #0000FF;">()</span>
<!--</syntaxhighlight>-->
 
=={{header|Ring}}==
<langsyntaxhighlight lang="ring">
/*
## Project : 15 Puzzle Game in 3D
Line 623 ⟶ 1,182:
func CloseEvent
exit # Exit from the Events Loop
</syntaxhighlight>
</lang>
 
=={{header|Wren}}==
{{trans|Go}}
{{libheader|DOME}}
{{libheader|Wren-polygon}}
{{libheader|Go-fonts}}
The palette is somewhat different from the Go example and, if the player is eventually successful in assembling the cubes in order, the white cube changes to gold and displays the number 16.
<syntaxhighlight lang="wren">import "dome" for Window
import "graphics" for Canvas, Color, Font
import "input" for Keyboard
import "random" for Random
import "math" for Math
import "./polygon" for Polygon
 
var Palette = [
Color.purple,
Color.darkblue,
Color.darkpurple,
Color.darkgreen,
Color.brown,
Color.darkgray,
Color.lightgray,
Color.red,
Color.orange,
Color.yellow,
Color.green,
Color.blue,
Color.indigo,
Color.pink,
Color.peach,
Color.white
]
 
var Rand = Random.new()
 
class FifteenPuzzle3d {
construct new() {
Window.resize(960, 840)
Canvas.resize(960, 840)
Window.title = "15-puzzle game using 3D cubes"
_radius = Canvas.height / 14
// see Go-fonts page
Font.load("Go-Regular20", "Go-Regular.ttf", 20)
Canvas.font = "Go-Regular20"
_blank = 15
_moves = 0
_gameOver = false
}
 
init() {
_centers = List.filled(16, null)
_cubes = List.filled(15, 0)
for (i in 0..14) _cubes[i] = i
Rand.shuffle(_cubes)
_cubes.add(15)
var x = Canvas.width / 10
var y = _radius
for (i in 0..3) {
var cx = 2 * x * (i + 1)
for (j in 0..3) {
var cy = (x + y) * (j + 1)
_centers[j * 4 + i] = [cx, cy]
}
}
for (i in 0..15) drawCube(_cubes[i], i)
}
 
drawCube(n, pos) {
var cx = _centers[pos][0]
var cy = _centers[pos][1]
var angle = Num.pi / 6
var incr = 2 * angle
var hexagon = Polygon.regular(6, cx, cy, _radius, 90)
hexagon.drawfill(Palette[n])
for (i in [1, 3, 5]) {
var vx = (_radius * Math.cos(angle + i*incr) + cx).floor
var vy = (_radius * Math.sin(angle + i*incr) + cy).floor
Canvas.line(cx, cy, vx, vy, Color.black)
}
var ns = (n < 15 || _gameOver) ? (n + 1).toString : ""
var hr = _radius * 0.5
var er = _radius * 0.125
var tqr = _radius * 0.75
Canvas.print(ns, cx + hr - er, cy, Color.white)
Canvas.print(ns, cx - hr - er, cy, Color.white)
Canvas.print(ns, cx - er, cy - tqr, Color.white)
}
 
completed {
for (i in 0..15) {
if (_cubes[i] != i) return false
}
Palette[15] = Color.rgb(255, 215, 0) // gold
return true
}
 
update() {
var changed = false
if (Keyboard["Left"].justPressed) {
if (_blank%4 != 0) {
_cubes.swap(_blank, _blank-1)
_blank = _blank - 1
_moves =_moves + 1
changed = true
}
} else if (Keyboard["Right"].justPressed) {
if ((_blank+1)%4 != 0) {
_cubes.swap(_blank, _blank+1)
_blank = _blank + 1
_moves = _moves + 1
changed = true
}
} else if (Keyboard["Up"].justPressed) {
if (_blank > 3) {
_cubes.swap(_blank, _blank-4)
_blank = _blank - 4
_moves = _moves + 1
changed = true
}
} else if (Keyboard["Down"].justPressed) {
if (_blank < 12) {
_cubes.swap(_blank, _blank+4)
_blank = _blank + 4
_moves = _moves + 1
changed = true
}
}
if (changed) {
Canvas.cls(Color.black)
_gameOver = completed
for (i in 0..15) drawCube(_cubes[i], i)
if (!_gameOver) {
var m = "Moves = %(_moves)"
Canvas.print(m, 0.4 * Canvas.width, 13 * _radius, Color.white)
} else {
var m = "You've completed the puzzle in %(_moves) moves!"
Canvas.print(m, 0.3 * Canvas.width, 13 * _radius, Color.white)
}
}
}
 
draw(alpha) {}
}
 
var Game = FifteenPuzzle3d.new()</syntaxhighlight>
9,482

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