finaly finish to implement simplify and explain
This commit is contained in:
Lafrite
parent
437066e8e6
commit
b1c3c3564e
@ -32,17 +32,25 @@ class Renderable(object):
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>>> for i in exp.simplify().explain():
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... print(i)
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2 \\times \\frac{ 3 }{ 5 }
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\\frac{ 3 }{ 5 } \\times 2
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\\frac{ 3 \\times 2 }{ 5 }
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\\frac{ 6 }{ 5 }
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>>> with Expression.tmp_render(txt):
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... for i in exp.simplify().explain():
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... print(i)
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2 * 3 / 5
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3 / 5 * 2
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( 3 * 2 ) / 5
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6 / 5
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>>> for i in exp.simplify().explain():
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... print(i)
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2 \\times \\frac{ 3 }{ 5 }
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\\frac{ 3 }{ 5 } \\times 2
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\\frac{ 3 \\times 2 }{ 5 }
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\\frac{ 6 }{ 5 }
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# TODO: essayer de ne pas afficher ce changement de position. |lun. avril 6 17:29:56 CEST 2015
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"""
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class TmpRenderEnv(object):
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def __enter__(self):
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@ -65,8 +73,12 @@ class Explicable(Renderable):
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def __init__(self, *args, **kwargs):
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self.steps = []
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def explain(self):
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""" Generate and render steps which leed to itself """
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def explain(self, noself = True):
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""" Generate and render steps which leed to itself
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:param noself: does explain return self
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"""
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old_s = ''
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# les étapes pour l'atteindre
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try:
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@ -81,6 +93,7 @@ class Explicable(Renderable):
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except AttributeError:
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pass
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if noself:
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# Lui même
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new_s = self.STR_RENDER(self.postfix_tokens)
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if new_s != old_s:
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@ -38,23 +38,30 @@ class Expression(Explicable):
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>>> for i in exp.simplify().explain():
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... print(i)
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2 \\times \\frac{ 3 }{ 5 }
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\\frac{ 3 }{ 5 } \\times 2
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\\frac{ 3 \\times 2 }{ 5 }
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\\frac{ 6 }{ 5 }
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>>> with Expression.tmp_render():
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... for i in exp.simplify().explain():
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... i
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< <class 'pymath.expression.Expression'> [2, 3, 5, '/', '*'] >
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< <class 'pymath.expression.Expression'> [2, < Fraction 3 / 5>, '*'] >
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< <class 'pymath.expression.Expression'> [2, < Fraction 3 / 5>, '*'] >
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< <class 'pymath.expression.Expression'> [3, 5, '/', 2, '*'] >
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< <class 'pymath.expression.Expression'> [3, 2, '*', 5, '/'] >
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< <class 'pymath.expression.Expression'> [6, 5, '/'] >
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>>> from .render import txt
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>>> with Expression.tmp_render(txt):
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... for i in exp.simplify().explain():
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... print(i)
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2 * 3 / 5
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3 / 5 * 2
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( 3 * 2 ) / 5
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6 / 5
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>>> for i in exp.simplify().explain():
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... print(i)
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2 \\times \\frac{ 3 }{ 5 }
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\\frac{ 3 }{ 5 } \\times 2
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\\frac{ 3 \\times 2 }{ 5 }
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\\frac{ 6 }{ 5 }
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"""
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@ -117,19 +124,34 @@ class Expression(Explicable):
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def simplify(self):
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""" Compute entirely the expression and return the result with .steps attribute """
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#print("\tSimplify self -> ", repr(self))
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self.compute_exp()
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#print("\t End Compute Simplify self -> ", self)
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self.simplified = self.child.simplify()
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#print("\t self.simplified -> ", repr(self.simplified))
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#print("\t self.child -> ", repr(self.child))
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if self.simplified != self.child:
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try:
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#print('\t\t in try')
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#print("\t\t self.child-> ", self.child)
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#print("\t\t|-> self.child.steps -> ", self.child.steps)
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#print("\t\t self.simplified -> ", self.simplified)
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#print("\t\t|-> self.simplified.steps -> ", self.simplified.steps)
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self.simplified.steps = self.child.steps + self.simplified.steps
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#print("\t\t|--> self.simplified.steps -> ", self.simplified.steps)
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except AttributeError:
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pass
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#print("\t self -> ", self)
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#print("\t self.simplified.steps ->\n\t\t ", self.simplified.steps)
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#print("\tEnd simplify self -> ", repr(self))
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return self.simplified
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def compute_exp(self):
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""" Create self.child with and stock steps in it """
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child_steps = [self.postfix_tokens]
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ini_step = Expression(self.postfix_tokens)
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tokenList = self.postfix_tokens.copy()
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tmpTokenList = []
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@ -185,9 +207,17 @@ class Expression(Explicable):
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del tokenList[0:2]
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tmpTokenList += tokenList
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#print("\t ----------------")
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#print("\t self -> ", repr(self))
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#print("\t tmpTokenList -> ", tmpTokenList)
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self.child = Expression(tmpTokenList)
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if self.child.postfix_tokens == ini_step.postfix_tokens:
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self.child.steps = self.develop_steps(tmpTokenList)
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else:
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self.child.steps = [ini_step] + self.develop_steps(tmpTokenList)
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#print("\t\t self -> ", repr(self))
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#print("\t self.child -> ", repr(self.child))
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#print("\t self.child.steps -> ", repr(self.child.steps))
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def develop_steps(self, tokenList):
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""" From a list of tokens, it develops steps of each tokens """
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@ -198,9 +228,15 @@ class Expression(Explicable):
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tmp_steps.append([i for i in t.explain()])
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else:
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tmp_steps.append(t)
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tmp_steps = expand_list(tmp_steps)
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#print("\t\t tokenList -> ", tokenList)
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#print("\t\t 1.tmp_steps -> ", tmp_steps)
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if max([len(i) if type(i) == list else 1 for i in tmp_steps]) == 1:
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return []
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else:
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tmp_steps = expand_list(tmp_steps)[:-1]
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#print("\t\t 2.tmp_steps -> ", tmp_steps)
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steps = [Expression(s) for s in tmp_steps]
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#print("\t\t steps -> ", steps)
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return steps
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@classmethod
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@ -322,7 +358,7 @@ class Expression(Explicable):
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return Expression(self.postfix_tokens + [op.sub1])
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def test(exp):
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def untest(exp):
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a = Expression(exp)
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b = a.simplify()
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@ -342,20 +378,20 @@ if __name__ == '__main__':
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#Expression.set_render(txt)
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#exp = "2 ^ 3 * 5"
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#test(exp)
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#untest(exp)
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#exp = "2x + 5"
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#test(exp)
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#untest(exp)
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#Expression.set_render(tex)
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#test(exp1)
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#untest(exp1)
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#from pymath.operator import op
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#exp = [2, 3, op.pw, 5, op.mul]
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#test(exp)
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#untest(exp)
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#test([Expression(exp1), Expression(exp), op.add])
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#untest([Expression(exp1), Expression(exp), op.add])
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#exp = "1 + 3 * 5"
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#e = Expression(exp)
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@ -363,50 +399,50 @@ if __name__ == '__main__':
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#print(f)
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#exp = "2 * 3 * 3 * 5"
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#test(exp)
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#untest(exp)
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#exp = "2 * 3 + 3 * 5"
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#test(exp)
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#untest(exp)
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#exp = "2 * ( 3 + 4 ) + 3 * 5"
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#test(exp)
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#untest(exp)
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#exp = "2 * ( 3 + 4 ) + ( 3 - 4 ) * 5"
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#test(exp)
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#untest(exp)
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#
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#exp = "2 * ( 2 - ( 3 + 4 ) ) + ( 3 - 4 ) * 5"
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#test(exp)
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#untest(exp)
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#
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#exp = "2 * ( 2 - ( 3 + 4 ) ) + 5 * ( 3 - 4 )"
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#test(exp)
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#untest(exp)
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#
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#exp = "2 + 5 * ( 3 - 4 )"
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#test(exp)
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#untest(exp)
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#exp = "( 2 + 5 ) * ( 3 - 4 )^4"
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#test(exp)
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#untest(exp)
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#exp = "( 2 + 5 ) * ( 3 * 4 )"
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#test(exp)
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#untest(exp)
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#exp = "( 2 + 5 - 1 ) / ( 3 * 4 )"
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#test(exp)
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#untest(exp)
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#exp = "( 2 + 5 ) / ( 3 * 4 ) + 1 / 12"
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#test(exp)
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#untest(exp)
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#exp = "( 2+ 5 )/( 3 * 4 ) + 1 / 2"
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#test(exp)
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#untest(exp)
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#exp="(-2+5)/(3*4)+1/12+5*5"
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#test(exp)
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#untest(exp)
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#exp="-2*4(12 + 1)(3-12)"
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#test(exp)
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#untest(exp)
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#exp="(-2+5)/(3*4)+1/12+5*5"
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#test(exp)
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#untest(exp)
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# TODO: The next one doesn't work |ven. janv. 17 14:56:58 CET 2014
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#exp="-2*(-a)(12 + 1)(3-12)"
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@ -415,15 +451,27 @@ if __name__ == '__main__':
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## Can't handle it yet!!
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#exp="-(-2)"
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#test(exp)
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#untest(exp)
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#print("\n")
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#exp = Expression.random("({a} + 3)({b} - 1)", ["{a} > 4"])
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#for i in exp.simplify():
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# print(i)
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import doctest
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doctest.testmod()
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from .fraction import Fraction
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f1 = Fraction(3,5)
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f2 = Fraction(5,10)
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q = f1+f2
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print("---------")
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print(q.steps)
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print("---------")
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for i in q.explain():
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print(i)
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#import doctest
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#doctest.testmod()
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# -----------------------------
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# Reglages pour 'vim'
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@ -136,18 +136,29 @@ class Fraction(Explicable):
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>>> g = Fraction(2, 3)
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>>> f + g
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< Fraction 7 / 6>
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>>> (f+g).steps
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[< <class 'pymath.expression.Expression'> [1, 2, '/', 2, 3, '/', '+'] >, [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '+'], [3, 6, '/', 4, 6, '/', '+'], [< Fraction 3 / 6>, < Fraction 4 / 6>, '+'], [< Fraction 3 / 6>, < Fraction 4 / 6>, '+']]
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>>> print("\\n".join([repr(i) for i in (f+g).steps]))
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< <class 'pymath.expression.Expression'> [1, 2, '/', 2, 3, '/', '+'] >
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< <class 'pymath.expression.Expression'> [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '+'] >
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< <class 'pymath.expression.Expression'> [3, 6, '/', 4, 6, '/', '+'] >
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< <class 'pymath.expression.Expression'> [< Fraction 3 / 6>, < Fraction 4 / 6>, '+'] >
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< <class 'pymath.expression.Expression'> [3, 6, '/', 4, 6, '/', '+'] >
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< <class 'pymath.expression.Expression'> [3, 4, '+', 6, '/'] >
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>>> f + 2
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< Fraction 5 / 2>
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>>> (f+2).steps
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[< <class 'pymath.expression.Expression'> [1, 2, '/', 2, '+'] >, [1, 1, '*', 2, 1, '*', '/', 2, 2, '*', 1, 2, '*', '/', '+'], [1, 2, '/', 4, 2, '/', '+'], [< Fraction 1 / 2>, < Fraction 4 / 2>, '+'], [< Fraction 1 / 2>, < Fraction 4 / 2>, '+']]
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>>> print("\\n".join([repr(i) for i in (f+2).steps]))
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< <class 'pymath.expression.Expression'> [1, 2, '/', 2, '+'] >
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< <class 'pymath.expression.Expression'> [1, 1, '*', 2, 1, '*', '/', 2, 2, '*', 1, 2, '*', '/', '+'] >
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< <class 'pymath.expression.Expression'> [1, 2, '/', 4, 2, '/', '+'] >
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< <class 'pymath.expression.Expression'> [< Fraction 1 / 2>, < Fraction 4 / 2>, '+'] >
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< <class 'pymath.expression.Expression'> [1, 2, '/', 4, 2, '/', '+'] >
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< <class 'pymath.expression.Expression'> [1, 4, '+', 2, '/'] >
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>>> f = Fraction(3, 4)
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>>> g = Fraction(5, 4)
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>>> f + g
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2
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>>> (f+g).steps
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[< <class 'pymath.expression.Expression'> [3, 4, '/', 5, 4, '/', '+'] >, [3, 5, '+', 4, '/'], [8, 4, '/']]
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>>> print("\\n".join([repr(i) for i in (f+g).steps]))
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< <class 'pymath.expression.Expression'> [3, 4, '/', 5, 4, '/', '+'] >
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< <class 'pymath.expression.Expression'> [3, 5, '+', 4, '/'] >
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>>> f+0
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< Fraction 3 / 4>
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>>> (f+0).steps
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@ -174,8 +185,8 @@ class Fraction(Explicable):
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exp = Expression([self._num, coef1, op.mul, self._denom, coef1, op.mul, op.div, number._num, coef2, op.mul, number._denom, coef2, op.mul, op.div,op.add])
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ini_step = Expression(self.postfix_tokens + number.postfix_tokens + [op.add])
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ans = exp.simplify()
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ini_step = Expression(self.postfix_tokens + number.postfix_tokens + [op.add])
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ans.steps = [ini_step] + ans.steps
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return ans
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@ -194,8 +205,13 @@ class Fraction(Explicable):
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>>> g = Fraction(2, 3)
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>>> f - g
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< Fraction -1 / 6>
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>>> (f-g).steps
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[< <class 'pymath.expression.Expression'> [1, 2, '/', 2, 3, '/', '-'] >, [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '-'], [3, 6, '/', 4, 6, '/', '-'], [< Fraction 3 / 6>, < Fraction 4 / 6>, '-'], [< Fraction 3 / 6>, < Fraction 4 / 6>, '-']]
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>>> print("\\n".join([repr(i) for i in (f-g).steps]))
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< <class 'pymath.expression.Expression'> [1, 2, '/', 2, 3, '/', '-'] >
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< <class 'pymath.expression.Expression'> [1, 3, '*', 2, 3, '*', '/', 2, 2, '*', 3, 2, '*', '/', '-'] >
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< <class 'pymath.expression.Expression'> [3, 6, '/', 4, 6, '/', '-'] >
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< <class 'pymath.expression.Expression'> [< Fraction 3 / 6>, < Fraction 4 / 6>, '-'] >
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< <class 'pymath.expression.Expression'> [3, 6, '/', 4, 6, '/', '-'] >
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< <class 'pymath.expression.Expression'> [3, 4, '-', 6, '/'] >
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>>> f - 0
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< Fraction 1 / 2>
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>>> (f-0).steps
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@ -263,8 +279,12 @@ class Fraction(Explicable):
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>>> g = Fraction(2, 3)
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>>> f*g
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< Fraction 1 / 3>
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>>> (f*g).steps
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[< <class 'pymath.expression.Expression'> [1, 2, '/', 2, 3, '/', '*'] >, [1, 1, 2, '*', '*', 1, 2, '*', 3, '*', '/'], [1, 2, '*', 2, 3, '*', '/'], [2, 6, '/'], < <class 'pymath.expression.Expression'> [2, 6, '/'] >, < <class 'pymath.expression.Expression'> [1, 2, '*', 3, 2, '*', '/'] >]
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>>> print("\\n".join([repr(i) for i in (f*g).steps]))
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< <class 'pymath.expression.Expression'> [1, 2, '/', 2, 3, '/', '*'] >
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< <class 'pymath.expression.Expression'> [1, 1, 2, '*', '*', 1, 2, '*', 3, '*', '/'] >
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< <class 'pymath.expression.Expression'> [1, 2, '*', 2, 3, '*', '/'] >
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< <class 'pymath.expression.Expression'> [2, 6, '/'] >
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< <class 'pymath.expression.Expression'> [1, 2, '*', 3, 2, '*', '/'] >
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>>> f * 0
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0
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>>> (f*0).steps
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@ -275,8 +295,10 @@ class Fraction(Explicable):
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[]
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>>> f*4
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2
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>>> (f*4).steps
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[< <class 'pymath.expression.Expression'> [1, 2, '/', 4, '*'] >, [1, 2, '*', 2, '*', 1, 2, '*', '/'], [2, 2, '*', 2, '/'], [4, 2, '/']]
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>>> print("\\n".join([repr(i) for i in (f*4).steps]))
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< <class 'pymath.expression.Expression'> [1, 2, '/', 4, '*'] >
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< <class 'pymath.expression.Expression'> [1, 2, '*', 2, '*', 1, 2, '*', '/'] >
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< <class 'pymath.expression.Expression'> [2, 2, '*', 2, '/'] >
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"""
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steps = []
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@ -381,13 +403,17 @@ class Fraction(Explicable):
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[]
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>>> f**3
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< Fraction 27 / 64>
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>>> (f**3).steps
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[< <class 'pymath.expression.Expression'> [3, 4, '/', 3, '^'] >, [3, 3, '^', 4, 3, '^', '/'], [27, 64, '/'], [27, 64, '/']]
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>>> print("\\n".join([repr(i) for i in (f**3).steps]))
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< <class 'pymath.expression.Expression'> [3, 4, '/', 3, '^'] >
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< <class 'pymath.expression.Expression'> [3, 3, '^', 4, 3, '^', '/'] >
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>>> f = Fraction(6, 4)
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>>> f**3
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< Fraction 27 / 8>
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>>> (f**3).steps
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[< <class 'pymath.expression.Expression'> [6, 4, '/', 3, '^'] >, [6, 3, '^', 4, 3, '^', '/'], [216, 64, '/'], < <class 'pymath.expression.Expression'> [216, 64, '/'] >, < <class 'pymath.expression.Expression'> [27, 8, '*', 8, 8, '*', '/'] >]
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>>> print("\\n".join([repr(i) for i in (f**3).steps]))
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< <class 'pymath.expression.Expression'> [6, 4, '/', 3, '^'] >
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< <class 'pymath.expression.Expression'> [6, 3, '^', 4, 3, '^', '/'] >
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< <class 'pymath.expression.Expression'> [216, 64, '/'] >
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< <class 'pymath.expression.Expression'> [27, 8, '*', 8, 8, '*', '/'] >
|
||||
|
||||
"""
|
||||
if not type(power) == int:
|
||||
|
||||
@ -364,7 +364,7 @@ class Polynom(Explicable):
|
||||
>>> Q
|
||||
< Polynom [3, 12, 6]>
|
||||
>>> Q.steps
|
||||
[< Polynom [< <class 'pymath.expression.Expression'> [1, 2, '+'] >, < <class 'pymath.expression.Expression'> [3, 4, '+', 5, '+'] >, 6]>, < Polynom [< <class 'pymath.expression.Expression'> [1, 2, '+'] >, < <class 'pymath.expression.Expression'> [7, 5, '+'] >, 6]>, < Polynom [3, < <class 'pymath.expression.Expression'> [7, 5, '+'] >, 6]>]
|
||||
[< Polynom [< <class 'pymath.expression.Expression'> [1, 2, '+'] >, < <class 'pymath.expression.Expression'> [3, 4, '+', 5, '+'] >, 6]>, < Polynom [3, < <class 'pymath.expression.Expression'> [7, 5, '+'] >, 6]>]
|
||||
"""
|
||||
|
||||
# TODO: It doesn't not compute quick enough |ven. févr. 27 18:04:01 CET 2015
|
||||
@ -477,7 +477,7 @@ class Polynom(Explicable):
|
||||
>>> R
|
||||
< Polynom [5, 7, 3]>
|
||||
>>> R.steps
|
||||
[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 5, 'x', '*', 4, '+', '+'] >, < Polynom [< <class 'pymath.expression.Expression'> [1, 4, '+'] >, < <class 'pymath.expression.Expression'> [2, 5, '+'] >, 3]>, < Polynom [< <class 'pymath.expression.Expression'> [1, 4, '+'] >, < <class 'pymath.expression.Expression'> [2, 5, '+'] >, 3]>]
|
||||
[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 5, 'x', '*', 4, '+', '+'] >, < Polynom [< <class 'pymath.expression.Expression'> [1, 4, '+'] >, < <class 'pymath.expression.Expression'> [2, 5, '+'] >, 3]>]
|
||||
"""
|
||||
o_poly = self.conv2poly(other)
|
||||
|
||||
@ -517,7 +517,7 @@ class Polynom(Explicable):
|
||||
>>> R
|
||||
< Polynom [-3, -3, -3]>
|
||||
>>> R.steps
|
||||
[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 6, 'x', 2, '^', '*', 5, 'x', '*', '+', 4, '+', '-'] >, < <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 6, 'x', 2, '^', '*', '-', 5, 'x', '*', '-', 4, '-', '+'] >, < Polynom [< <class 'pymath.expression.Expression'> [1, -4, '+'] >, < <class 'pymath.expression.Expression'> [2, -5, '+'] >, < <class 'pymath.expression.Expression'> [3, -6, '+'] >]>, < Polynom [< <class 'pymath.expression.Expression'> [1, -4, '+'] >, < <class 'pymath.expression.Expression'> [2, -5, '+'] >, < <class 'pymath.expression.Expression'> [3, -6, '+'] >]>]
|
||||
[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 6, 'x', 2, '^', '*', 5, 'x', '*', '+', 4, '+', '-'] >, < <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, 'x', '*', '+', 1, '+', 6, 'x', 2, '^', '*', '-', 5, 'x', '*', '-', 4, '-', '+'] >, < Polynom [< <class 'pymath.expression.Expression'> [1, -4, '+'] >, < <class 'pymath.expression.Expression'> [2, -5, '+'] >, < <class 'pymath.expression.Expression'> [3, -6, '+'] >]>]
|
||||
"""
|
||||
o_poly = self.conv2poly(other)
|
||||
ini_step = [Expression(self.postfix_tokens + o_poly.postfix_tokens + [op.sub])]
|
||||
@ -541,12 +541,12 @@ class Polynom(Explicable):
|
||||
>>> p*3
|
||||
< Polynom [3, 6]>
|
||||
>>> (p*3).steps
|
||||
[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 3, '*'] >], < Polynom [3, < <class 'pymath.expression.Expression'> [2, 3, '*'] >]>, < Polynom [3, < <class 'pymath.expression.Expression'> [2, 3, '*'] >]>]
|
||||
[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 3, '*'] >], < Polynom [3, < <class 'pymath.expression.Expression'> [2, 3, '*'] >]>]
|
||||
>>> q = Polynom([0,0,4])
|
||||
>>> q*3
|
||||
< Polynom [0, 0, 12]>
|
||||
>>> (q*3).steps
|
||||
[[< <class 'pymath.expression.Expression'> [4, 'x', 2, '^', '*', 3, '*'] >], < Polynom [0, 0, < <class 'pymath.expression.Expression'> [4, 3, '*'] >]>, < Polynom [0, 0, < <class 'pymath.expression.Expression'> [4, 3, '*'] >]>]
|
||||
[[< <class 'pymath.expression.Expression'> [4, 'x', 2, '^', '*', 3, '*'] >], < Polynom [0, 0, < <class 'pymath.expression.Expression'> [4, 3, '*'] >]>]
|
||||
>>> r = Polynom([0,1])
|
||||
>>> r*3
|
||||
< Polynom [0, 3]>
|
||||
@ -555,7 +555,7 @@ class Polynom(Explicable):
|
||||
>>> p*q
|
||||
< Polynom [0, 0, 4, 8]>
|
||||
>>> (p*q).steps
|
||||
[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 4, 'x', 2, '^', '*', '*'] >], < Polynom [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>, < Polynom [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>]
|
||||
[[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 4, 'x', 2, '^', '*', '*'] >], < Polynom [0, 0, 4, < <class 'pymath.expression.Expression'> [2, 4, '*'] >]>]
|
||||
>>> p*r
|
||||
< Polynom [0, 1, 2]>
|
||||
>>> P = Polynom([1,2,3])
|
||||
@ -606,12 +606,12 @@ class Polynom(Explicable):
|
||||
>>> p**2
|
||||
< Polynom [0, 0, 0, 0, 9]>
|
||||
>>> (p**2).steps
|
||||
[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, '^'] >, < Polynom [0, 0, 0, 0, < <class 'pymath.expression.Expression'> [3, 2, '^'] >]>, < Polynom [0, 0, 0, 0, < <class 'pymath.expression.Expression'> [3, 2, '^'] >]>]
|
||||
[< <class 'pymath.expression.Expression'> [3, 'x', 2, '^', '*', 2, '^'] >, < Polynom [0, 0, 0, 0, < <class 'pymath.expression.Expression'> [3, 2, '^'] >]>]
|
||||
>>> p = Polynom([1,2])
|
||||
>>> p**2
|
||||
< Polynom [1, 4, 4]>
|
||||
>>> (p**2).steps
|
||||
[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 2, '^'] >, [< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 2, 'x', '*', 1, '+', '*'] >], < Polynom [1, < <class 'pymath.expression.Expression'> [2, 2, '+'] >, < <class 'pymath.expression.Expression'> [2, 2, '*'] >]>, < Polynom [1, < <class 'pymath.expression.Expression'> [2, 2, '+'] >, < <class 'pymath.expression.Expression'> [2, 2, '*'] >]>]
|
||||
[< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 2, '^'] >, [< <class 'pymath.expression.Expression'> [2, 'x', '*', 1, '+', 2, 'x', '*', 1, '+', '*'] >], < Polynom [1, < <class 'pymath.expression.Expression'> [2, 2, '+'] >, < <class 'pymath.expression.Expression'> [2, 2, '*'] >]>]
|
||||
>>> p = Polynom([0,0,1])
|
||||
>>> p**3
|
||||
< Polynom [0, 0, 0, 0, 0, 0, 1]>
|
||||
|
||||
@ -83,7 +83,7 @@ class Polynom_deg2(Polynom):
|
||||
... print(i)
|
||||
\\frac{ - 2 }{ 2 \\times 3 }
|
||||
\\frac{ -2 }{ 6 }
|
||||
\\frac{ ( -1 ) \\times 2 }{ 3 \\times 2 }
|
||||
\\frac{ -1 \\times 2 }{ 3 \\times 2 }
|
||||
\\frac{ -1 }{ 3 }
|
||||
"""
|
||||
return Expression([self.b, op.sub1, 2, self.a, op.mul, op.div]).simplify()
|
||||
@ -97,10 +97,21 @@ class Polynom_deg2(Polynom):
|
||||
< Fraction 2 / 3>
|
||||
>>> for i in P.beta.explain(): # Ça serait bien que l'on puisse enlever des étapes maintenant...
|
||||
... print(i)
|
||||
3 \\times \\frac{ -1 }{ 3 }^{ 2 } + 2 \\times \\frac{ -1 }{ 3 } + 1
|
||||
3 \\times ( \\frac{ -1 }{ 3 } )^{ 2 } + 2 \\times \\frac{ -1 }{ 3 } + 1
|
||||
3 \\times ( \\frac{ -1 }{ 3 } )^{ 2 } + \\frac{ -1 }{ 3 } \\times 2 + 1
|
||||
3 \\times \\frac{ -1^{ 2 } }{ 3^{ 2 } } + \\frac{ -1 \\times 2 }{ 3 } + 1
|
||||
3 \\times \\frac{ 1 }{ 9 } + \\frac{ -2 }{ 3 } + 1
|
||||
\\frac{ 1 }{ 9 } \\times 3 + \\frac{ -1 }{ 3 } \\times 2 + 1
|
||||
\\frac{ 1 \\times 1 \\times 3 }{ 3 \\times 3 } + \\frac{ -1 \\times 2 }{ 3 } + 1
|
||||
\\frac{ 1 \\times 3 }{ 9 } + \\frac{ -2 }{ 3 } + 1
|
||||
\\frac{ 3 }{ 9 } + \\frac{ -2 }{ 3 } + 1
|
||||
\\frac{ 1 \\times 3 }{ 3 \\times 3 } + \\frac{ -2 }{ 3 } + 1
|
||||
\\frac{ 1 }{ 3 } + \\frac{ -2 }{ 3 } + 1
|
||||
\\frac{ 1 - 2 }{ 3 } + 1
|
||||
\\frac{ -1 }{ 3 } + 1
|
||||
\\frac{ -1 \\times 1 }{ 3 \\times 1 } + \\frac{ 1 \\times 3 }{ 1 \\times 3 }
|
||||
\\frac{ -1 }{ 3 } + \\frac{ 3 }{ 3 }
|
||||
\\frac{ -1 + 3 }{ 3 }
|
||||
\\frac{ 2 }{ 3 }
|
||||
"""
|
||||
return self(self.alpha).simplify()
|
||||
|
||||
@ -91,7 +91,7 @@ def in2post_fix(infix_tokens):
|
||||
@return: the corresponding postfix list of tokens.
|
||||
|
||||
>>> in2post_fix([op.par, 2, op.add, 5, op.sub, 1, ')', op.div, op.par, 3, op.mul, 4, ')'])
|
||||
[2, 5, '+', 1, '-', 3, 4, '*', '/']
|
||||
[2, 5, 1, '-', '+', 3, 4, '*', '/']
|
||||
>>> in2post_fix([op.sub1, op.par, op.sub1, 2, ')'])
|
||||
[2, '-', '-']
|
||||
>>> in2post_fix([op.sub1, op.par, op.sub1, 2, op.add, 3, op.mul, 4, ')'])
|
||||
|
||||
Loading…
Reference in New Issue
Block a user