Feat: Polynoms can be differentiate!!!!
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@ -101,6 +101,24 @@ class Polynomial(Token):
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tree = tree.map_on_leaf(replace_var)
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return Expression(tree).simplify()
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def differentiate(self):
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""" Differentiate a polynome
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:example:
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>>> from ...core.MO.polynomial import MOpolynomial
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>>> P = Polynomial(MOpolynomial('x', [1, 2, 3]))
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>>> P
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<Polynomial 3x^2 + 2x + 1>
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>>> P.differentiate()
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<Linear 2 + 6x>
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>>> for s in P.differentiate().explain():
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... print(s)
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0 + 2 + 3 * 2x
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2 + 3 * 2 * x
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2 + 6x
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"""
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return Expression(self._mo.differentiate()).simplify()
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@property
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def roots(self):
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""" Get roots of the Polynomial """
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@ -120,6 +138,8 @@ class Linear(Polynomial):
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<MOnumber 2>
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>>> P.b
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<MOnumber 1>
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>>> P.differentiate()
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<Integer 2>
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>>> P.roots
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[<Fraction - 2 / 1>]
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@ -194,6 +214,8 @@ class Quadratic(Polynomial):
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4 - 12 * 1
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4 - 12
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- 8
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>>> P.differentiate()
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<Linear 2 + 6x>
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>>> P.roots
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[]
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@ -166,6 +166,16 @@ class MOnumber(Atom):
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except AttributeError:
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return self.value < other
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def differentiate(self):
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""" differentiate a number and get 0
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:example:
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>>> a = MOnumber(3)
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>>> a.differentiate()
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<MOnumber 0>
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"""
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return MOnumber(0)
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class MOstr(Atom):
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@ -260,6 +270,16 @@ class MOstr(Atom):
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def degree(self):
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return 1
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def differentiate(self):
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""" differentiate a variable and get 1
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:example:
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>>> a = MOstr("x")
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>>> a.differentiate()
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<MOnumber 1>
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"""
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return MOnumber(1)
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# -----------------------------
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# Reglages pour 'vim'
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@ -8,6 +8,7 @@
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from mapytex.calculus.core.tree import Tree
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from .mo import Molecule, MO
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from .atoms import MOnumber
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__all__ = ["MOFraction"]
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@ -71,6 +72,22 @@ class MOFraction(Molecule):
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""" return the inverse fraction """
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return MOFraction(self._denominator, self._numerator, self.negative)
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def differentiate(self):
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""" differentiate a fraction and get something!
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:example:
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>>> a = MOFraction(2, 3)
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>>> a.differentiate()
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<MOnumber 0>
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"""
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d_num = self.numerator.differentiate()
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d_denom = self.denominator.differentiate()
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if d_num == 0 and d_denom == 0:
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return MOnumber(0)
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else:
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raise NotImplementedError
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# -----------------------------
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# Reglages pour 'vim'
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@ -97,6 +97,10 @@ class MO(ABC):
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"""
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return self._signature
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def differentiate(self):
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raise NotImplementedError
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class Atom(MO):
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@ -110,6 +110,19 @@ class MOstrPower(Molecule):
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'monome2'
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"""
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return f"monome{self.power}"
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def differentiate(self):
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""" differentiate a MOstrPower and get a tree
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:example:
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>>> a = MOstrPower('x', 3)
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>>> print(a.differentiate())
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*
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> 3
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> x^2
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"""
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if self._power > 2:
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return Tree('*', self.power, MOstrPower(self.variable, self._power._value-1))
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return Tree('*', self.power, MOstr(self.variable))
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class MOMonomial(Molecule):
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@ -258,6 +271,31 @@ class MOMonomial(Molecule):
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"""
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return f"monome{self.power}"
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def differentiate(self):
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""" Differentiate a MOMonomial and get a tree
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:example:
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>>> x = MOstr('x')
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>>> m = MOMonomial(4, x)
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>>> m
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<MOMonomial 4x>
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>>> print(m.differentiate())
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4
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>>> m = MOMonomial(4, 'x', 2)
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>>> m
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<MOMonomial 4x^2>
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>>> print(m.differentiate())
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*
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> 4
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> *
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| > 2
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| > x
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"""
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if self.power == 1:
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return self.coefficient
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return Tree("*", self.coefficient, self.strpower.differentiate())
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# -----------------------------
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# Reglages pour 'vim'
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@ -126,6 +126,28 @@ class MOpolynomial(Molecule):
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"""
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return self._monomials
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def differentiate(self):
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""" Differentiate a MOMonomial and get a tree
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:example:
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>>> p = MOpolynomial('x', [1, 2, 3])
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>>> print(p)
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3x^2 + 2x + 1
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>>> print(p.differentiate())
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+
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> 0
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> +
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| > 2
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| > *
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| | > 3
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| | > *
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| | | > 2
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| | | > x
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"""
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monomials_d = [m.differentiate() for m in self.monomials.values()]
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return Tree.from_list("+", monomials_d)
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# -----------------------------
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# Reglages pour 'vim'
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