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{
This file is part of the Free Pascal run time library.
Copyright (c) 1993-98 by Gernot Tenchio
Mandelbrot Example using the Graph unit
See the file COPYING.FPC, included in this distribution,
for details about the copyright.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
**********************************************************************}
program mandel;
{$goto on}
{
Mandelbrot example using the graph unit.
Note: For linux you need to run this program as root !!
}
{$ifdef mswindows}
{$apptype GUI}
{$endif}
uses
{$ifdef mswindows}
WinCrt,
Windows,
{$endif}
dos,Graph;
{
const
shift:byte=12;
}
var
SearchPoint,ActualPoint,NextPoint : PointType;
LastColor : longint;
Gd,Gm : smallint;
Max_Color,Max_X_Width,
Max_Y_Width,Y_Width : word;
Y1,Y2,X1,X2,Dy,Dx : Real;
Zm : Integer;
SymetricCase : boolean;
LineY : array [0..600] OF BYTE;
LineX : array [0..100,0..600] OF INTEGER;
const
SX : array [0..7] OF SHORTINT=(-1, 0, 1, 1, 1, 0,-1,-1);
SY : array [0..7] OF SHORTINT=(-1,-1,-1, 0, 1, 1, 1, 0);
type
arrayType = array[1..50] of integer;
{------------------------------------------------------------------------------}
function ColorsEqual(c1, c2 : longint) : boolean;
begin
ColorsEqual:=((GetMaxColor=$FF) and ((c1 and $FF)=(c2 and $FF))) or
((GetMaxColor=$7FFF) and ((c1 and $F8F8F8)=(c2 and $F8F8F8))) or
((GetMaxColor=$FFFF) and ((c1 and $F8FCF8)=(c2 and $F8FCF8))) or
((GetMaxColor>$10000) and ((c1 and $FFFFFF)=(c2 and $FFFFFF)));
end;
{------------------------------------------------------------------------------}
function CalcMandel(Point:PointType; z:integer) : Longint ;
var
x,y,xq,yq,Cx,Cy : real ;
begin
Cy:=y2 + dy*Point.y ;
Cx:=x2 + dx*Point.x ;
X:=-Cx ; Y:=-Cy ;
repeat
xq:=x * x;
yq:=y * y ;
y :=x * y;
y :=y + y - cy;
x :=xq - yq - cx ;
z :=z -1;
until (Z=0) or (Xq + Yq > 4 );
if Z=0 Then
CalcMandel:=(blue and $FFFFFF)
else
CalcMandel:={DefaultColors[}(z mod Max_Color) + 1 {]};
end;
{-----------------------------------------------------------------------------}
procedure Partition(var A : arrayType; First, Last : Byte);
var
Right,Left : byte ;
V,Temp : integer;
begin
V := A[(First + Last) SHR 1];
Right := First;
Left := Last;
repeat
while (A[Right] < V) do
inc(Right);
while (A[Left] > V) do
Dec(Left);
if (Right <= Left) then
begin
Temp:=A[Left];
A[Left]:=A[Right];
A[Right]:=Temp;
Right:=Right+1;
Left:=Left-1;
end;
until Right > Left;
if (First < Left) then
Partition(A, First, Left);
if (Right < Last) then
Partition(A, Right, Last)
end;
{-----------------------------------------------------------------------------}
function BlackScan(var NextPoint:PointType) : boolean;
begin
BlackScan:=true;
repeat
if NextPoint.X=Max_X_Width then
begin
if NextPoint.Y < Y_Width then
begin
NextPoint.X:=0 ;
NextPoint.Y:=NextPoint.Y+1;
end
else
begin
BlackScan:=false;
exit;
end ; { IF }
end ; { IF }
NextPoint.X:=NextPoint.X+1;
until GetPixel(NextPoint.X,NextPoint.Y)=0;
end ;
{------------------------------------------------------------------------------}
procedure Fill(Ymin,Ymax,LastColor:integer);
var
P1,P3,P4,P : integer ;
Len,P2 : byte ;
Darray : arraytype;
begin
SetColor(LastColor);
for P1:=Ymin+1 to Ymax-1 do
begin
Len:=LineY[P1] ;
if Len >= 2 then
begin
for P2:=1 to Len do
Darray[P2]:=LineX[P2,P1] ;
if Len > 2 then
Partition(Darray,1,len);
P2:=1;
repeat
P3:= Darray[P2] ; P4:= Darray[P2 + 1];
if P3 <> P4 then
begin
line ( P3 , P1 , P4 , P1) ;
if SymetricCase then
begin
P:=Max_Y_Width-P1;
line ( P3 , P , P4 , P ) ;
end;
end; { IF }
P2:=P2+2;
until P2 >= Len ;
end; { IF }
end; { FOR }
end;
{-----------------------------------------------------------------------------}
Function NewPosition(Last:Byte):Byte;
begin
newposition:=(((last+1) and 254)+6) and 7;
end;
{-----------------------------------------------------------------------------}
procedure CalcBounds;
var
lastOperation,KK,
Position : Byte ;
foundcolor : longint;
Start,Found,NotFound : boolean ;
MerkY,Ymax : Integer ;
label
L;
begin
repeat
FillChar(LineY,SizeOf(LineY),0) ;
ActualPoint:=NextPoint;
LastColor:=CalcMandel(NextPoint,Zm) ;
putpixel (ActualPoint.X,ActualPoint.Y,LastColor);
if SymetricCase then
putpixel (ActualPoint.X,Max_Y_Width-ActualPoint.Y,LastColor) ;
Ymax:=NextPoint.Y ;
MerkY:=NextPoint.Y ;
NotFound:=false ;
Start:=false ;
LastOperation:=4 ;
repeat
Found:=false ;
KK:=0 ;
Position:=NewPosition(LastOperation);
repeat
LastOperation:=(Position+KK) and 7 ;
SearchPoint.X:=ActualPoint.X+Sx[LastOperation];
SearchPoint.Y:=ActualPoint.Y+Sy[LastOperation];
if ((SearchPoint.X < 0) or
(SearchPoint.X > Max_X_Width) or
(SearchPoint.Y < NextPoint.Y) or
(SearchPoint.Y > Y_Width)) then
goto L;
if (SearchPoint.X=NextPoint.X) and (SearchPoint.Y=NextPoint.Y) then
begin
Start:=true ;
Found:=true ;
end
else
begin
FoundColor:=GetPixel(SearchPoint.X,SearchPoint.Y) ;
if FoundColor = 0 then
begin
FoundColor:= CalcMandel (SearchPoint,Zm) ;
Putpixel (SearchPoint.X,SearchPoint.Y,FoundColor) ;
if SymetricCase then
PutPixel (SearchPoint.X,Max_Y_Width-SearchPoint.Y,FoundColor) ;
end ;
if ColorsEqual(FoundColor,LastColor) then
begin
if ActualPoint.Y <> SearchPoint.Y then
begin
if SearchPoint.Y = MerkY then
LineY[ActualPoint.Y]:=LineY[ActualPoint.Y]-1;
MerkY:= ActualPoint.Y ;
LineY[SearchPoint.Y]:=LineY[SearchPoint.Y]+1;
end ;
LineX[LineY[SearchPoint.Y],SearchPoint.Y]:=SearchPoint.X ;
if SearchPoint.Y > Ymax then Ymax:= SearchPoint.Y ;
Found:=true ;
ActualPoint:=SearchPoint ;
end;
L:
KK:=KK+1;
if KK > 8 then
begin
Start:=true ;
NotFound:=true ;
end;
end;
until Found or (KK > 8);
until Start ;
if not NotFound then
Fill(NextPoint.Y,Ymax,LastColor) ;
until not BlackScan(NextPoint);
end ;
{------------------------------------------------------------------------------
MAINROUTINE
------------------------------------------------------------------------------}
var
error,dummy : smallint;
var i,neededtime,starttime : longint;
hour, minute, second, sec100 : word;
const
count : longint = 1;
gmdefault = m640x480;
begin
gm:=-1;
if paramcount>0 then
begin
val(paramstr(1),gm,error);
if error<>0 then
gm:=gmdefault;
{$ifdef go32v2}
if paramcount>1 then
begin
Val(paramstr(2),count,error);
if error<>0 then
count:=1;
end;
if paramcount>2 then
UseLFB:=true;
if paramcount>3 then
UseNoSelector:=true;
{$endif go32v2}
end;
gd:=d8bit;
if gm=-1 then
GetModeRange(gd,dummy,gm);
GetTime(hour, minute, second, sec100);
starttime:=((hour*60+minute)*60+second)*100+sec100;
{$ifdef mswindows}
ShowWindow(GetActiveWindow,0);
{$endif}
InitGraph(gd,gm,'');
if GraphResult <> grOk then
begin
Writeln('Graph driver ',gd,' graph mode ',gm,' not supported');
Halt(1);
end;
for i:=1 to count do
begin
Max_X_Width:=GetMaxX;
Max_y_Width:=GetMaxY;
Max_Color:=GetMaxColor-1;
if Max_Color>255 then
Max_Color:=255;
ClearViewPort;
x1:=-0.9;
x2:= 2.2;
y1:= 1.25;
y2:=-1.25;
zm:=90;
dx:=(x1 - x2) / Max_X_Width ;
dy:=(y1 - y2) / Max_Y_Width ;
if abs(y1) = abs(y2) then
begin
SymetricCase:=true;
Y_Width:=Max_Y_Width shr 1
end
else
begin
SymetricCase:=false;
Y_Width:=Max_Y_Width;
end;
NextPoint.X:=0;
NextPoint.Y:=0;
LastColor:=CalcMandel(SearchPoint,zm);
CalcBounds ;
end;
GetTime(hour, minute, second, sec100);
neededtime:=((hour*60+minute)*60+second)*100+sec100-starttime;
{$ifndef fpc_profile}
{$ifndef mswindows}
readln;
{$else: mswindows}
repeat
until keypressed;
{$endif}
{$endif fpc_profile}
CloseGraph;
{$ifndef mswindows}
Writeln('Mandel took ',Real(neededtime)/100/count:0:3,' secs to generate mandel graph');
Writeln('With graph driver ',gd,' and graph mode ',gm);
{$endif}
end.
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