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Task/Pythagoras-tree/FreeBASIC/pythagoras-tree.basic

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+' version 03-12-2016
+' compile with: fbc -s gui
+' or fbc -s console
+
+Sub pythagoras_tree(x1 As Double, y1 As Double, x2 As Double, y2 As Double, depth As ULong)
+
+    If depth > 10 Then Return
+
+    Dim As Double dx = x2 - x1, dy = y1 - y2
+    Dim As Double x3 = x2 - dy, y3 = y2 - dx
+    Dim As Double x4 = x1 - dy, y4 = y1 - dx
+    Dim As Double x5 = x4 + (dx - dy) / 2
+    Dim As Double y5 = y4 - (dx + dy) / 2
+    'draw the box
+    Line (x1, y1) - (x2, y2) : Line - (x3, y3)
+    Line - (x4, y4) : Line - (x1, y1)
+
+    pythagoras_tree(x4, y4, x5, y5, depth +1)
+    pythagoras_tree(x5, y5, x3, y3, depth +1)
+
+End Sub
+
+' ------=< MAIN >=------
+' max for w is about max screensize - 500
+Dim As ULong w = 800, h = w * 11 \ 16
+Dim As ULong w2 = w \ 2, diff = w \ 12
+
+ScreenRes w, h, 8
+pythagoras_tree(w2 - diff, h -10 , w2 + diff , h -10 , 0)
+' BSave "pythagoras_tree.bmp",0
+
+
+
+' empty keyboard buffer
+While Inkey <> "" : Wend
+Print : Print "hit any key to end program"
+Sleep
+End