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tbl_variation for Polynom_deg2

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Lafrite 2015-02-25 10:32:27 +01:00
parent de338e914f
commit c21509657a
1 changed files with 35 additions and 23 deletions
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56
pymath/polynomDeg2.py
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@ -81,23 +81,23 @@ class Polynom_deg2(Polynom):
< Expression [3, < Fraction -2 / 6>, 2, '^', '*', 2, < Fraction -2 / 6>, '*', '+', 1, '+']> < Expression [3, < Fraction -2 / 6>, 2, '^', '*', 2, < Fraction -2 / 6>, '*', '+', 1, '+']>
>>> for i in P.beta.simplify(): # Ça serait bien que l'on puisse enlever des étapes maintenant... >>> for i in P.beta.simplify(): # Ça serait bien que l'on puisse enlever des étapes maintenant...
... print(i) ... print(i)
3 \times \frac{ -2 }{ 6 }^{ 2 } + 2 \times \frac{ -2 }{ 6 } + 1 3 \\times \\frac{ -2 }{ 6 }^{ 2 } + 2 \\times \\frac{ -2 }{ 6 } + 1
3 \times \frac{ ( -2 )^{ 2 } }{ 6^{ 2 } } + \frac{ ( -2 ) \times 1 \times 2 }{ 3 \times 2 } + 1 3 \\times \\frac{ ( -2 )^{ 2 } }{ 6^{ 2 } } + \\frac{ ( -2 ) \\times 1 \\times 2 }{ 3 \\times 2 } + 1
3 \times \frac{ 4 }{ 36 } + \frac{ ( -2 ) \times 2 }{ 6 } + 1 3 \\times \\frac{ 4 }{ 36 } + \\frac{ ( -2 ) \\times 2 }{ 6 } + 1
3 \times \frac{ 1 \times 4 }{ 9 \times 4 } + \frac{ -4 }{ 6 } + 1 3 \\times \\frac{ 1 \\times 4 }{ 9 \\times 4 } + \\frac{ -4 }{ 6 } + 1
3 \times \frac{ 1 }{ 9 } + \frac{ ( -2 ) \times 2 }{ 3 \times 2 } + 1 3 \\times \\frac{ 1 }{ 9 } + \\frac{ ( -2 ) \\times 2 }{ 3 \\times 2 } + 1
3 \times \frac{ 1 }{ 9 } + \frac{ -2 }{ 3 } + 1 3 \\times \\frac{ 1 }{ 9 } + \\frac{ -2 }{ 3 } + 1
\frac{ 1 \times 1 \times 3 }{ 3 \times 3 } + \frac{ -2 }{ 3 } + 1 \\frac{ 1 \\times 1 \\times 3 }{ 3 \\times 3 } + \\frac{ -2 }{ 3 } + 1
\frac{ 1 \times 3 }{ 9 } + \frac{ -2 }{ 3 } + 1 \\frac{ 1 \\times 3 }{ 9 } + \\frac{ -2 }{ 3 } + 1
\frac{ 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 \\times 3 }{ 3 \\times 3 } + \\frac{ -2 }{ 3 } + 1
\frac{ 1 }{ 3 } + \frac{ -2 }{ 3 } + 1 \\frac{ 1 }{ 3 } + \\frac{ -2 }{ 3 } + 1
\frac{ 1 + ( -2 ) }{ 3 } + 1 \\frac{ 1 + ( -2 ) }{ 3 } + 1
\frac{ -1 }{ 3 } + 1 \\frac{ -1 }{ 3 } + 1
\frac{ ( -1 ) \times 1 }{ 3 \times 1 } + \frac{ 1 \times 3 }{ 1 \times 3 } \\frac{ ( -1 ) \\times 1 }{ 3 \\times 1 } + \\frac{ 1 \\times 3 }{ 1 \\times 3 }
\frac{ -1 }{ 3 } + \frac{ 3 }{ 3 } \\frac{ -1 }{ 3 } + \\frac{ 3 }{ 3 }
\frac{ ( -1 ) + 3 }{ 3 } \\frac{ ( -1 ) + 3 }{ 3 }
\frac{ 2 }{ 3 } \\frac{ 2 }{ 3 }
>>> P.beta.simplified() >>> P.beta.simplified()
< Fraction 2 / 3> < Fraction 2 / 3>
@ -167,20 +167,32 @@ class Polynom_deg2(Polynom):
else: else:
return "\\tkzTabLine{, -,}" return "\\tkzTabLine{, -,}"
def tbl_variation(self, limit = False): def tbl_variation(self, limits = False):
"""Return the variation line for tkzTabVar """Return the variation line for tkzTabVar
:param limit: Display or not limits in tabular :param limit: Display or not limits in tabular
>>> P = Polynom_deg2([1,1,1]) >>> P = Polynom_deg2([1,2,3])
>>> print(P.tbl_variation())
\\tkzTabVar{+/{}, -/{$\\frac{ 2 }{ 3 }$}, +/{}}
>>> print(P.tbl_variation(limits = True))
\\tkzTabVar{+/{$+\\infty$}, -/{$\\frac{ 2 }{ 3 }$}, +/{$+\\infty$}}
""" """
alpha = -self.b / (2*self.a) beta = self.beta.simplified()
beta = self(alpha).simplied() if limits:
if self.a > 0:
return "\\tkzTabVar{+/{$+\\infty$}, -/{$" + str(beta) + "$}, +/{$+\\infty$}}"
else:
return "\\tkzTabVar{-/{$-\\infty$}, +/{$" + str(beta) + "$}, -/{$-\\infty$}}"
else:
if self.a > 0:
return "\\tkzTabVar{+/{}, -/{$" + str(beta) + "$}, +/{}}"
else:
return "\\tkzTabVar{-/{}, +/{$" + str(beta) + "$}, -/{}}"
#\tkzTabVar{-/{}, +/{$f(-10)$}, -/{}}