Lots of new random fraction generator
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.gitignore
vendored
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.gitignore
vendored
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creations/
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__pycache__/
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219
add_frac.py
219
add_frac.py
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#!/usr/bin/env python
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# encoding: utf-8
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from random import randint, random
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"""Classe which generate randomly fractions sums
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Types of sums
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1 -> b / a + c / a
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2 -> b / a + c / ka
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3 -> b / a + e / d
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4 -> f + b / a or b / a + f
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where:
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a integer > 2
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b integer different from 0 (could be coprime with a)
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c integer different from 0 (could be coprime with a or ka)
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e integer different from 0 (could be coprime with d)
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d integer > 2 ( a not divisible by d and d not divisible by a)
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k integer > 2
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f integer different from 0
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Signs can be mod
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"""
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def a(min_ = 2, max_ = 10):
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"""Generate randomly a
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:param min_: minimum value for a
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:param max_: maximum value for a
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:returns: a value
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"""
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return randint(min_, max_)
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def k(min_ = 2, max_ = 5):
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"""Generate randomly k
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:param min_: minimum value for k
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:param max_: maximum value for k
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:returns: k value
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"""
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return randint(min_, max_)
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def b(a_ = 0, min_ = -20, max_ = 20):
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"""Generate randomly b
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:param a: the value of a if b has to be coprime with a (default 0 which means not necessarily coprime)
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:param min_: minimum value for b (default -20)
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:param max_: maximum value for b (default 20)
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:returns: b value
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"""
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b_ = 0
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while b_ == 0 or not coprime:
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b_ = randint(min_, max_)
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if a_ == 0:
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coprime = 1
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elif b_ != 0:
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gcd_ = gcd(abs(a_),abs(b_))
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coprime = (gcd_ == 1)
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return b_
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def c(a_ = 0, k_ = 1, min_ = -20, max_ = 20):
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"""Generate randomly c
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:param a: the value of a if c has to be coprime with a (default 0 which means not necessarily coprime)
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:param k: the value of a if c has to be coprime with ak (default 0 which means not necessarily coprime)
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:param min_: minimum value for c (default -20)
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:param max_: maximum value for c (default 20)
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:returns: c value
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"""
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return b(a_ = a_*k_, min_ = min_, max_ = max_)
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def e(d_ = 0, min_ = -20, max_ = 20):
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"""Generate randomly e
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:param d: the value of a if e has to be coprime with a (default 0 which means not necessarily coprime)
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:param min_: minimum value for e (default -20)
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:param max_: maximum value for e (default 20)
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:returns: e value
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"""
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return b(a_ = d_, min_ = min_, max_ = max_)
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def d(a_, min_ = 2, max_ = 10):
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"""Generate randomly d
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:param a: the value of a
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:param min_: minimum value for d
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:param max_: maximum value for d
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:returns: d value
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"""
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d_ = randint(min_, max_)
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div = (not a_ % d_) or (not d_ % a_)
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while div:
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d_ = randint(min_, max_)
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div = (not a_ % d_) or (not d_ % a_)
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return d_
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def f(min_ = -10, max_ = 10):
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"""Generate randomly f
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:param min_: minimum value for f
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:param max_: maximum value for f
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:returns: f value
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"""
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f_ = randint(min_, max_)
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while f_ == 0:
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f_ = randint(min_, max_)
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return f_
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def plusOrMinus(p = 0.5):
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"""Return plus with prob p and minus otherwise
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"""
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pm = random()
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return "+"*(pm >= p) + "-"*(pm < p)
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def nothingOrMinus(p = 0.5):
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"""Return nothing with prob p and minus otherwise
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"""
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pm = random()
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return ""*(pm >= p) + "-"*(pm < p)
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def type1():
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"""@todo: Docstring for type1
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:returns: @todo
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"""
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a_ = a()
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b_ = b(a_=a_)
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c_ = c(a_=a_)
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return nothingOrMinus() + "\\frac{" + str(b_) + "}{" + str(a_) + "}" + plusOrMinus() + "\\frac{" + str(c_) + "}{" + str(a_) + "}"
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def type2():
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"""@todo: Docstring for type2
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:returns: @todo
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"""
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a_ = a()
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b_ = b(a_=a_)
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k_ = k()
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c_ = c(a_=a_, k_ = k_)
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return nothingOrMinus() + "\\frac{" + str(b_) + "}{" + str(a_) + "}" + plusOrMinus() + "\\frac{" + str(c_) + "}{" + str(k_*a_) + "}"
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def type3():
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"""@todo: Docstring for type3
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:returns: @todo
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"""
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a_ = a()
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b_ = b(a_=a_)
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c_ = c(a_=a_)
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d_ = d(a_)
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return nothingOrMinus() + "\\frac{" + str(b_) + "}{" + str(a_) + "}" + plusOrMinus() + "\\frac{" + str(c_) + "}{" + str(d_) + "}"
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def type4():
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"""@todo: Docstring for type4
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:returns: @todo
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"""
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a_ = a()
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b_ = b(a_=a_)
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f_ = f()
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return str(f_) + plusOrMinus() + "\\frac{" + str(b_) + "}{" + str(a_) + "}"
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def gcd(a_, b_):
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"""Compute gcd(a,b)
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:param a: first number
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:param b: second number
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:returns: the gcd
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"""
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if a_ > b_:
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c_ = a_ % b_
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else:
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c_ = b_ % a_
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if c_ == 0:
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return min(a_,b_)
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elif a_ == 1:
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return b_
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elif b_ == 1:
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return a_
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else:
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return gcd(min(a_,b_), c_)
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if __name__ == '__main__':
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# print(a())
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# print(b())
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# print(c())
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# print(d(3))
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# print(e())
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# print(f())
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print(type1())
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print(type2())
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print(type3())
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print(type4())
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# Reglages pour 'vim'
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# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del
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160
mult_frac.py
160
mult_frac.py
@ -1,160 +0,0 @@
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#!/usr/bin/env python
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# encoding: utf-8
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from random import randint, random
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"""Classe which generate randomly fractions multiplications
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Types of multiplications
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1 -> a x b / c
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2 -> a x b / c + d / c
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3 -> a x b / c + d / e >>> TODO
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4 -> e / f x g / h >>> TODO
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5 -> i / j x k / l >>> TODO
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where:
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a integer differente from -1, 0, 1
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b integer different from 0
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c integer different from 0 and 1 (could be coprime with b)
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d integer different from 0
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e, g integer different from 0
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f, g integer different from 0 and 1 such that e*g is coprime with f*h
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i, k integer different from 0
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j, l integer different from 0 and 1 such that i*k and j*l have divisor in common
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Signs can be mod
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"""
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def a(min_ = -10, max_ = 10, notIn = [-1,0,1]):
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"""Generate randomly a
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:param min_: minimum value for a
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:param max_: maximum value for a
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:param notIn: value that can't take a
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:returns: a value
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"""
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a_ = randint(min_, max_)
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while a_ in notIn:
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a_ = randint(min_, max_)
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return a_
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def b(min_ = -10, max_ = 10, notIn = [0]):
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"""Generate randomly b
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:param min_: minimum value for b
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:param max_: maximum value for b
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:param notIn: value that can't take b
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:returns: a value
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"""
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return a(min_, max_, notIn)
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def c(b_ = 0, min_ = 2, max_ = 20):
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"""Generate randomly c
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:param a_: the value of b if c has to be coprime with b (default 0 which means not necessarily coprime)
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:param min_: minimum value for b (default -20)
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:param max_: maximum value for b (default 20)
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:returns: c value
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"""
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c_ = 0
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while c_ == 0 or not coprime:
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c_ = randint(min_, max_)
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if b_ == 0:
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coprime = 1
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elif c_ not in [-1,0,1]:
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gcd_ = gcd(abs(c_),abs(b_))
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coprime = (gcd_ == 1)
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return c_
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def d(min_ = -10, max_ = 10, notIn = [0]):
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"""Generate randomly d
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:param min_: minimum value for d
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:param max_: maximum value for d
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:param notIn: value that can't take d
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:returns: a value
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"""
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return a(min_, max_, notIn)
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def plusOrMinus(p = 0.5):
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"""Return plus with prob p and minus otherwise
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"""
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pm = random()
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return "+"*(pm >= p) + "-"*(pm < p)
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def nothingOrMinus(p = 0.5):
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"""Return nothing with prob p and minus otherwise
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"""
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pm = random()
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return ""*(pm >= p) + "-"*(pm < p)
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def type1():
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"""@todo: Docstring for type1
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:returns: @todo
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"""
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a_ = a()
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b_ = b()
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c_ = c(b_=b_)
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return str(a_) + " \\times \\frac{" + str(b_) + "}{" + str(c_) + "}"
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def type2():
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"""@todo: Docstring for type2
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:returns: @todo
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"""
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a_ = a()
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b_ = b()
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c_ = c(b_=b_)
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d_ = d()
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return str(a_) + " \\times \\frac{" + str(b_) + "}{" + str(c_) + "} + \\frac{" + str(d_) + "}{" + str(c_) + "}"
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def gcd(a_, b_):
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"""Compute gcd(a,b)
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:param a: first number
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:param b: second number
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:returns: the gcd
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"""
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if a_ > b_:
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c_ = a_ % b_
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else:
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c_ = b_ % a_
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if c_ == 0:
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return min(a_,b_)
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elif a_ == 1:
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return b_
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elif b_ == 1:
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return a_
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else:
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return gcd(min(a_,b_), c_)
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if __name__ == '__main__':
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# print(a())
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# print(b())
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# print(c())
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# print(d(3))
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# print(e())
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# print(f())
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print(type1())
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print(type2())
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# Reglages pour 'vim'
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# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del
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@ -4,6 +4,7 @@
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import jinja2, random, os
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import sys
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import optparse
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from rd_frac import frac
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def randfloat(approx = 1, low = 0, up = 10):
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""" return a random number between low and up with approx floating points """
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random.gaussRandomlist_strInt = gaussRandomlist_strInt
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random.frac = frac
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report_renderer = jinja2.Environment(
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block_start_string = '%{',
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@ -40,16 +43,23 @@ loader = jinja2.FileSystemLoader(os.path.abspath('.'))
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def main(options):
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template = report_renderer.get_template(options.template)
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cwd = os.getcwd()
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if options.output:
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output_basename = options.output
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output_name = options.output
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else:
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tpl_base = os.path.splitext(options.template)[0]
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output_basename = tpl_base + "_"
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output_name = tpl_base + "_"
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output_dir = os.path.dirname(output_name)
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output_basename = os.path.basename(output_name)
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output_tplname = output_basename.split("/")[-1]
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os.chdir(output_dir)
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for subj in range(options.num_subj):
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subj = subj+1
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dest = output_basename + str(subj) + '.tex'
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dest = output_tplname + str(subj) + '.tex'
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with open( dest, 'w') as f:
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f.write(template.render(random = random, infos = {"subj" : subj}))
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os.system("pdflatex " + dest)
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if not options.dirty:
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os.system("rm *.aux *.log")
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os.chdir(cwd)
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if __name__ == '__main__':
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133
rd_frac.py
Normal file
133
rd_frac.py
Normal file
@ -0,0 +1,133 @@
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#!/usr/bin/env python
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# encoding: utf-8
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from random import randint, random
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from random_expression import RdExpression
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from arithmetic import gcd
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from renders import tex_render
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"""Classe which generate randomly fractions calculus
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Types of sums
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add1 -> b / a + c / a
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add2 -> b / a + c / ka
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add3 -> b / a + e / d
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add4 -> f + b / a
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add5 -> b / a + f
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where:
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a integer > 2
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b integer different from 0 (could be coprime with a)
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c integer different from 0 (could be coprime with a or ka)
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e integer different from 0 (could be coprime with d)
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d integer > 2 ( a not divisible by d and d not divisible by a)
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k integer > 2
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f integer different from 0
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Types of multiplications
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mult1 -> a x b / c
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mult2 -> a x b / c + d / c
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mult3 -> a x b / c + d / e
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mult4 -> e / f x g / h >>> TODO
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mult5 -> i / j x k / l
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where:
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a integer different from -1, 0, 1
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b integer different from 0
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c integer different from 0 and 1 (could be coprime with b)
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d integer different from 0
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e, g integer different from 0
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f, g integer different from 0 and 1 such that e*g is coprime with f*h
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i, k integer different from 0
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j, l integer different from 0 and 1 such that i*k and j*l have divisor in common
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Types of divisions
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div1 -> a / b : c / d
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where:
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a integer different from 0
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b integer different from 0, 1
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c integer different from 0
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d integer different from 0
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#Signs can be mod
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"""
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add1 = RdExpression("{b} / {a} + {c} / {a}", \
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conditions = ["{a} > 2", "{b} != 0","{c} != 0"])
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add2 = RdExpression("{b} / {a} + {c} / {k*a}", \
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conditions = ["{a} > 2","{k} > 2", "{b} != 0","{c} != 0"])
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add3 = RdExpression("{b} / {a} + {e} / {d}", \
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conditions = ["{a} not in [0,1]", "{e} not in [0,1]", "{b} != 0","{d} not in [0,1]"])
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add4 = RdExpression("{b} / {a} + {f}", \
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conditions = ["{a} > 2", "{b} != 0", "{f} != 0"])
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add5 = RdExpression("{f} + {b} / {a}", \
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conditions = ["{a} > 2", "{b} != 0", "{f} != 0"])
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||||
|
||||
mult1 = RdExpression("{a} * {b} / {c}",\
|
||||
conditions = ["{a} not in [-1, 0, 1]", "{b} != 0", "{c} not in [0,1]"])
|
||||
|
||||
mult2 = RdExpression("{a} * {b} / {c} + {d} / {c}",\
|
||||
conditions = ["{a} not in [-1, 0, 1]", "{b} != 0", "{c} not in [0,1]", \
|
||||
"{d} != 0"])
|
||||
|
||||
mult3 = RdExpression("{a} * {b} / {c} + {d} / {e}",\
|
||||
conditions = ["{a} not in [-1, 0, 1]", "{b} != 0", "{c} not in [0,1]", \
|
||||
"{d} != 0", "{e} not in [0,1]", "{c} != {e}"])
|
||||
|
||||
#mult4 = RdExpression("{e} / {f} * {g} / {h}", \
|
||||
# conditions = ["{e} != 0", "{g} != 0", "{f} != 0", "{g} != 0", \
|
||||
# "gcd({e*g}, {f*h}) == 1"])
|
||||
|
||||
mult5 = RdExpression("{e} / {f} * {g} / {h}", \
|
||||
conditions = ["{e} != 0", "{g} != 0", "{f} not in [0, 1]", "{h} not in [0, 1]"])
|
||||
#"gcd({e*g}, {f*h}) != 1"])
|
||||
|
||||
div1 = RdExpression("{a} / {b} : {c} / {d}", \
|
||||
conditions = ["{a} not in [0]", "{b} not in [0,1]", "{c} != 0","{d} not in [0]"])
|
||||
|
||||
frac = {"add1": add1,\
|
||||
"add2": add2,\
|
||||
"add3": add3,\
|
||||
"add4": add4,\
|
||||
"add5": add5, \
|
||||
"mult1": mult1,\
|
||||
"mult2": mult2,\
|
||||
"mult3": mult2,\
|
||||
#"mult4": mult2,\
|
||||
"mult5": mult5, \
|
||||
"div1": div1 }
|
||||
|
||||
if __name__ == '__main__':
|
||||
print(add1())
|
||||
print(add2())
|
||||
print(add3())
|
||||
print(add4())
|
||||
print(add5())
|
||||
|
||||
print(mult1())
|
||||
print(mult2())
|
||||
print(mult3())
|
||||
#print(mult4())
|
||||
print(mult5())
|
||||
|
||||
print(div1())
|
||||
# Reglages pour 'vim'
|
||||
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
|
||||
# cursor: 16 del
|
||||
Loading…
Reference in New Issue
Block a user