{{htmlmetatags>metatag-robots=()
metatag-title=(OTHER CONTRIBUTIONS SIERPINSKI CHALLENGE (optimized) | ugBASIC User Manual)
metatag-keywords=(ugBASIC,Commodore 64,Commodore PLUS/4,ZX Spectrum)
metatag-description=(An isomorphic language for retrocomputers)
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metatag-og:title=(OTHER CONTRIBUTIONS SIERPINSKI CHALLENGE (optimized) | ugBASIC User Manual) 
metatag-og:description=(An isomorphic language for retrocomputers)
}}

====== ugBASIC User Manual ======

===== OTHER CONTRIBUTIONS SIERPINSKI CHALLENGE (optimized) =====

==== PURPOSE ====
 This example is the optimized version for the "Sierpinski Challenge", an exciting challenge regarding fractals. This example reproduces the famous "SIERPINSKI TRIANGLE" on retrocomputers. It is a very simple fractal to obtain, which takes its name from the mathematician who first studied its properties. Such a triangle can have different shapes and sizes and can be obtained in various ways. One of the methods to create it is the so-called "Game of chaos". The fractal is built by creating iteratively a sequence of points, starting from a random initial point, in which each point of the sequence is a given fraction of the distance between the previous point and one of the vertices of the polygon; the vertex is chosen at random in each iteration. Repeating this iterative process a large number of times, selecting the vertex at random at each iteration, often (but not always) produces a fractal shape. Using a regular triangle and the factor 1/2, it will result in a Sierpinski triangle.  

==== SOURCE CODE ====
   
   ' ============================================================================
   ' INITIALIZATION
   ' ============================================================================
   
   ' We start measure time from the graphical initialization.
   t=TI
   
   ' Enable the monocrome bitmap graphic, 
   ' with a minimum resolution of 160x100 pixels.
   BITMAP ENABLE(320,200,2)
   
   ' Pen color is black
   INK BLACK
   
   ' Paper color is white
   CLS WHITE
   
   ' Let's calculate the three constants
   CONST x1=(SCREEN WIDTH \ #2): CONST y1=0
   CONST x2=0: CONST y2=(SCREEN HEIGHT - 1 )
   CONST x3=(SCREEN WIDTH - 1): CONST y3=(SCREEN HEIGHT - 1 )
   
   ' Number of points to draw
   CONST limit = 10000
   
   ' ============================================================================
   ' MAIN CYCLE
   ' ============================================================================
   
   ' Initialize the coordinates.
   x=#x1 AS POSITION
   y=#y1 AS POSITION
   
   ' Initialize the counter.
   n=#0 AS INTEGER
   
   ' Repeat the cycle up to (limit) points.
   REPEAT
   
   	' Select a random triangle
   	r=(RANDOM BYTE \ 32) AND 3
   	
   	' If the triange has been chosen...
   	IF r=0 THEN 
   		' Update the coordinates accordingly.
   		ADD x, x1 : DIV x, #2 
   		ADD y, y1 : DIV y, #2 
   	ELSE IF r=1 THEN 
   		ADD x, x2 : DIV x, #2
   		ADD y, y2 : DIV y, #2
   	ELSE
   		ADD x, x3 : DIV x, #2
   		ADD y, y3 : DIV y, #2
   	ENDIF
   	
   	' Plot the point on the screen.
   	PLOT x, y
   
   	' Increment the number of point traced.
   	INC n
   
   UNTIL n=limit
   
   ' Calculate the time passed
   te=TI-t
   
   HOME
   ' Print the stats
   PRINT "time = ";(te/TICKS PER SECOND);" sec"
   PRINT "points = ";n%
   


==== SOURCE FILE ====
  * ''[[https://github.com/spotlessmind1975/ugbasic/tree/main/examples/contrib_sierpinski2.bas|contrib_sierpinski2.bas]]''
==== HOW TO COMPILE AND RUN ====
The instructions here refer to compiling the example from the command line. For Microsoft Windows users we suggest using **[[https://spotlessmind1975.itch.io/ugbasic-ide|UGBASIC-IDE]]**, which allows you to compile the example with just one click.=== ATARI 400/800 family ===
In order to compile and run the example, you need to have the Altirra emulator, and in particular that the ''altirra'' executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.atari contrib_sierpinski2.bas -o example.xex
   altirra example.xex
   
   # Windows 
   ugbc.atari.exe contrib_sierpinski2.bas -o example.xex
   altirra example.xex
=== ATARI 600XL/800XL/1200XL/XG(SE) family ===
In order to compile and run the example, you need to have the Altirra emulator, and in particular that the ''altirra'' executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.atarixl contrib_sierpinski2.bas -o example.xex
   altirra example.xex
   
   # Windows 
   ugbc.atarixl.exe contrib_sierpinski2.bas -o example.xex
   altirra example.xex
=== Commodore 64 ===
In order to compile and run the example, you need to have the VICE emulator, and in particular that the ''x64sc'' executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.c64 contrib_sierpinski2.bas -o example.prg
   x64sc example.prg
   
   # Windows 
   ugbc.c64.exe contrib_sierpinski2.bas -o example.prg
   x64sc example.prg
=== Commodore 64+REU ===
In order to compile and run the example, you need to have the VICE emulator, and in particular that the ''x64sc'' executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.c64reu contrib_sierpinski2.bas -o example.prg
   x64sc -reu example.prg
   
   # Windows 
   ugbc.c64reu.exe contrib_sierpinski2.bas -o example.prg
   x64sc -reu example.prg
=== Commodore PLUS/4 ===
== Using YAPE ==
In order to run the example, you need to have the YAPE emulator. In particular that the ''yape'' executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.plus4 contrib_sierpinski2.bas -o example.prg
   yape example.prg
   
   # Windows 
   ugbc.plus4.exe contrib_sierpinski2.bas -o example.prg
   yape example.prg
== Using VICE ==
In order to run the example, you need to have the VICE emulator. In particular that the ''xplus4'' executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.plus4 contrib_sierpinski2.bas -o example.prg
   xplus4 example.prg
   
   # Windows 
   ugbc.plus4.exe contrib_sierpinski2.bas -o example.prg
   xplus4 example.prg
=== Dragon 32 ===
In order to compile and run the example, you need to have the XROAR emulator, and in particular that the ''xroar'' executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.d32 contrib_sierpinski2.bas -o example.bin
   xroar -rompath (your rom path) example.bin
   
   # Windows 
   ugbc.d32.exe contrib_sierpinski2.bas -o example.bin
   xroar.exe -rompath (your rom path) example.bin
=== Dragon 64 ===
In order to compile and run the example, you need to have the XROAR emulator, and in particular that the ''xroar'' executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.d64 contrib_sierpinski2.bas -o example.bin
   xroar -rompath (your rom path) example.bin
   
   # Windows 
   ugbc.d64.exe contrib_sierpinski2.bas -o example.bin
   xroar.exe -rompath (your rom path) example.bin
=== PC128 Olivetti Prodest ===
In order to compile and run the example, you need to have the DCMOTO emulator, and in particular that the ''dcmoto'' executable is accessible.

Then, type this command on the command line and on the emulator:

   # Linux 
   ugbc.pc128op contrib_sierpinski2.bas -o example.k7
   dcmoto
   (choose BASIC 128)
   CLEAR,&H2FFF: LOADM"CASS:",R: EXEC
   
   # Windows 
   ugbc.pc128op.exe contrib_sierpinski2.bas -o example.k7
   dcmoto
   (choose example.k7)
   (choose BASIC 128)
   CLEAR,&H2FFF: LOADM"CASS:",R: EXEC
=== Thomson MO5 ===
In order to compile and run the example, you need to have the DCMOTO emulator, and in particular that the ''dcmoto'' executable is accessible.

Then, type this command on the command line and on the emulator:

   # Linux 
   ugbc.pc128op contrib_sierpinski2.bas -o example.k7
   dcmoto
   (choose BASIC 128)
   CLEAR,&H2FFF: LOADM"CASS:",R: EXEC
   
   # Windows 
   ugbc.pc128op.exe contrib_sierpinski2.bas -o example.k7
   dcmoto
   (choose example.k7)
   (choose BASIC 128)
   CLEAR,&H2FFF: LOADM"CASS:",R: EXEC
=== Commodore VIC-20 ===
In order to compile and run the example, you need to have the VICE emulator, and in particular that the ''xvic'' executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.vic20 contrib_sierpinski2.bas -o example.prg
   xvic --memory 24k example.prg
   
   # Windows 
   ugbc.vic20.exe contrib_sierpinski2.bas -o example.prg
   xvic --memory 24k example.prg
=== ZX Spectrum ===
In order to compile and run the example, you need to have the Speccy emulator, and in particular that the ''speccy'' executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.zx contrib_sierpinski2.bas -o example.tap
   Speccy example.tap
   
   # Windows 
   ugbc.zx.exe contrib_sierpinski2.bas -o example.tap
   Speccy example.tap
=== MSX ===
In order to compile and run the example, you need to have the openMsx or the BlueMSX emulator, and in particular that its executable is accessible.

Then, type this command on the command line:

== openMSX ==
   # Linux 
   ugbc.msx1 contrib_sierpinski2.bas -o example.rom
   openmsx -cart example.rom
   
   # Windows 
   ugbc.msx1.exe contrib_sierpinski2.bas -o example.rom
   openmsx -cart example.rom
== blueMSX ==
   # Linux 
   ugbc.msx1 contrib_sierpinski2.bas -o example.rom
   bluemsx example.rom
   
   # Windows 
   ugbc.msx1.exe contrib_sierpinski2.bas -o example.rom
   bluemsx example.rom
=== ColecoVision ===
In order to compile and run the example, you need to have the openMsx or the BlueMSX emulator, and in particular that its executable is accessible.

Then, type this command on the command line:

== openMSX ==
   # Linux 
   ugbc.coleco contrib_sierpinski2.bas -o example.rom
   openmsx -machine \"COL - ColecoVision\" -cart example.rom
   
   # Windows 
   ugbc.coleco.exe contrib_sierpinski2.bas -o example.rom
   bluemsx -machine \"COL - ColecoVision\" example.rom
== blueMSX ==
   # Linux 
   ugbc.coleco contrib_sierpinski2.bas -o example.rom
   bluemsx /machine \"COL - ColecoVision\" /rom1 example.rom
   
   # Windows 
   ugbc.coleco.exe contrib_sierpinski2.bas -o example.rom
   bluemsx  /machine \"COL - ColecoVision\" /rom1 example.rom
=== SEGA SC-3000 ===
In order to compile and run the example, you need to have the BlueMSX emulator, and in particular that its executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.sc3000 contrib_sierpinski2.bas -o example.rom
   bluemsx /machine \"SEGA - SC-3000\" /rom1 example.rom
   
   # Windows 
   ugbc.sc3000.exe contrib_sierpinski2.bas -o example.rom
   bluemsx  /machine \"SEGA - SC-3000\" /rom1 example.rom
=== SEGA SG-1000 ===
In order to compile and run the example, you need to have the BlueMSX emulator, and in particular that its executable is accessible.

Then, type this command on the command line:

   # Linux 
   ugbc.sg1000 contrib_sierpinski2.bas -o example.rom
   bluemsx /machine \"SEGA - SG-1000\" /rom1 example.rom
   
   # Windows 
   ugbc.sg1000.exe contrib_sierpinski2.bas -o example.rom
   bluemsx  /machine \"SEGA - SG-1000\" /rom1 example.rom
==== ANY PROBLEM? ====
If you have found a problem trying to run this example, if you think there is a bug or, more simply, you would like it to be improved, [[https://github.com/spotlessmind1975/ugbasic/issues/new?title=IMPROVE OTHER CONTRIBUTIONS SIERPINSKI CHALLENGE (optimized)|open an issue]] for this example on GitHub. Thank you!===== POWERED BY =====

[[:ugbasic:user:examples|{{ :ugbasic:user:logo-ugbasic.png?nolink&600 |}}]]