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.
' ============================================================================ ' 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%
The instructions here refer to compiling the example from the command line. For Microsoft Windows users we suggest using UGBASIC-IDE, which allows you to compile the example with just one click.
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
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
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
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
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
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
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
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
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
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
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
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
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:
# 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
# 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
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:
# 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
# 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
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
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
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, open an issue for this example on GitHub. Thank you!