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% sap.mp
% L. Nobre G.
% 2002
numeric NumberOfColors, HalfSideLength;
numeric ThicknesFactor, TolerancFactor;
NumberOfColors = 7;
HalfSideLength = 15mm;
ThicknesFactor = 0.2; % Maximum TraceThickness over Half Side
ThinnessFactor = 0.1; % Minimum TraceThickness over Half Side
TolerancFactor = 0.5 + 0.02; % Side Gaps over Thickness
def RandomStep =
begingroup
numeric margin;
margin = ThicknesFactor-ThinnessFactor;
ThinnessFactor*HalfSideLength + uniformdeviate( margin*HalfSideLength )
endgroup
enddef;
def PickInteger( expr MaxNum ) =
begingroup
save aux;
numeric aux;
aux = ceiling( uniformdeviate( MaxNum ) );
if aux = 0:
aux := 1;
fi;
( aux )
endgroup
enddef;
def PickColor =
( uniformdeviate(1) , uniformdeviate(1), uniformdeviate(1) )
enddef;
vardef LocateIndex[] =
dotlabel.urt( str @, z@ )
enddef;
def SpreadAllOver =
begingroup
pair urCorner, ulCorner, llCorner, lrCorner;
path FinalCut;
urCorner = ( 8.13in, 11.533in );
llCorner = ( 0.118in, 35.5bp );
ulCorner = ( xpart llCorner, ypart urCorner );
lrCorner = ( xpart urCorner, ypart llCorner );
FinalCut = urCorner--ulCorner--llCorner--lrCorner--cycle;
picture Tile[];
Tile[1] = currentpicture;
Tile[2] = currentpicture rotated 90;
Tile[3] = currentpicture rotated 180;
Tile[4] = currentpicture rotated 270;
currentpicture := nullpicture;
numeric i, j, horizo, vertic;
horizo = ( xpart urCorner ) + HalfSideLength;
vertic = ( ypart urCorner ) + HalfSideLength;
for i = 0 step 2HalfSideLength until horizo:
for j = 0 step 2HalfSideLength until vertic:
draw Tile[PickInteger( 4 )] shifted ( i, j );
endfor;
endfor;
clip currentpicture to FinalCut
endgroup
enddef;
beginfig(1);
linecap := butt;
numeric tracethickness;
tracethickness = RandomStep;
currentpen := pensquare rotated 45 scaled tracethickness;
numeric i, currentcoord, maincoords[], numaincoords, toleranc;
i = 0;
currentcoord = 2TolerancFactor*tracethickness;
toleranc = HalfSideLength - currentcoord;
forever:
i := incr( i );
maincoords[i] = currentcoord;
currentcoord := currentcoord + 4TolerancFactor*tracethickness;
currentcoord := currentcoord +
uniformdeviate( ThicknesFactor*HalfSideLength );
exitif currentcoord > toleranc;
endfor;
numaincoords = i;
numeric j;
pair Dir[];
for i = 1 upto numaincoords:
j := i;
z[j] = ( HalfSideLength, maincoords[i] );
Dir[j] = left;
j := i + numaincoords;
z[j] = ( maincoords[i], HalfSideLength );
Dir[j] = down;
j := i + 2numaincoords;
z[j] = ( -maincoords[i], HalfSideLength );
Dir[j] = down;
j := i + 3numaincoords;
z[j] = ( -HalfSideLength, maincoords[i] );
Dir[j] = right;
j := i + 4numaincoords;
z[j] = ( -HalfSideLength, -maincoords[i] );
Dir[j] = right;
j := i + 5numaincoords;
z[j] = ( -maincoords[i], -HalfSideLength );
Dir[j] = up;
j := i + 6numaincoords;
z[j] = ( maincoords[i], -HalfSideLength );
Dir[j] = up;
j := i + 7numaincoords;
z[j] = ( HalfSideLength, -maincoords[i] );
Dir[j] = left;
endfor;
% for i=1 upto 8numaincoords:
% LocateIndex[i];
% endfor;
boolean Filled[];
for i=1 upto 8numaincoords:
Filled[i] = false;
endfor;
numeric Chosen[];
for i=0 upto numaincoords-1:
Chosen[i] = 0;
endfor;
color LookUpColor[];
for i=1 upto NumberOfColors:
LookUpColor[i] = PickColor;
endfor;
numeric ThisInd, ThatInd, ThisCoo, ThatCoo;
color ThisColor, ThatColor;
path ActualPath;
for j=2 step 2 until 8numaincoords:
forever:
ThisInd := PickInteger( 8numaincoords );
exitunless Filled[ThisInd];
endfor;
Filled[ThisInd] := true;
ThisCoo := ThisInd mod numaincoords;
if Chosen[ThisCoo] = 0:
i := PickInteger( NumberOfColors );
ThisColor := LookUpColor[i];
Chosen[ThisCoo] := i;
else:
ThisColor := LookUpColor[Chosen[ThisCoo]];
fi;
forever:
ThatInd := PickInteger( 8numaincoords );
exitunless Filled[ThatInd];
endfor;
Filled[ThatInd] := true;
ThatCoo := ThatInd mod numaincoords;
if Chosen[ThatCoo] = 0:
i := PickInteger( NumberOfColors );
ThatColor := LookUpColor[i];
Chosen[ThatCoo] := i;
else:
ThatColor := LookUpColor[Chosen[ThatCoo]];
fi;
ActualPath := z[ThisInd]{Dir[ThisInd]}
...z[ThatInd]{-Dir[ThatInd]};
draw subpath (0,0.6) of ActualPath withcolor ThisColor;
draw subpath (0.4,1) of ActualPath withcolor ThatColor;
endfor;
SpreadAllOver;
endfig;
end.
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