Source code for plugins.lima

##  This file is part of pyFormex 1.0.7  (Mon Jun 17 12:20:39 CEST 2019)
##  pyFormex is a tool for generating, manipulating and transforming 3D
##  geometrical models by sequences of mathematical operations.
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"""Lindenmayer Systems

from __future__ import absolute_import, division, print_function

from pyformex.plugins import turtle

[docs]class Lima(object): """A class for operations on Lindenmayer Systems.""" def __init__(self, axiom="", rules={}): self.axiom = axiom self.product = axiom self.rule = rules self.gen = 0
[docs] def status(self): """Print the status of the Lima""" print("Lima status:") print(" Axiom: %s" % self.axiom) print(" Rules: %r" % self.rule) print(" Generation: %d" % self.gen) print(" Product: %s" % self.product)
[docs] def addRule(self, atom, product): """Add a new rule (or overwrite an existing)""" self.rule[atom] = product
[docs] def translate(self, rule, keep=False): """Translate the product by the specified rule set. If keep=True is specified, atoms that do not have a translation in the rule set, will be kept unchanged. The default (keep=False) is to remove those atoms. """ product = "" default = "" for c in self.product: if keep: default=c product += rule.get(c, default) return product
def grow(self, ngen=1): for gen in range(ngen): self.product = self.translate(self.rule, keep=True) self.gen += 1 return self.product
[docs]def lima(axiom, rules, level, turtlecmds, glob=None): """Create a list of connected points using a Lindenmayer system. axiom is the initial string, rules are translation rules for the characters in the string, level is the number of generations to produce, turtlecmds are the translation rules of the final string to turtle cmds, glob is an optional list of globals to pass to the turtle script player. This is a convenience function for quickly creating a drawing of a single generation member. If you intend to draw multiple generations of the same Lima, it is better to use the grow() and translate() methods directly. """ A = Lima(axiom, rules) A.grow(level) scr = "reset();"+A.translate(turtlecmds, keep=False) list =, glob) return list
if __name__ == '__main__': def test(): TurtleRules = {'F': 'fd();', '*': 'ro(60);', '/': 'ro(-60);'} print(lima("F", {"F": "F*F//F*F"}, 1, {'F': 'fd();', '*': 'ro(60);', '/': 'ro(-60);'})) print(lima("F", {"F": "F*F//F*F"}, 2, {'F': 'fd();', '*': 'ro(60);', '/': 'ro(-60);'})) test() test()