164 lines
3.3 KiB
Python
164 lines
3.3 KiB
Python
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#!/usr/bin/env python
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# encoding: utf-8
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from random import randint, uniform
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from math import sqrt
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from jinja2 import Template
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"""
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Generate expression for litteral calculous
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3 types of expression (a, b, c != 0, 1)
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1 -> ax + b and eval for x != -b / a
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2 -> ax(bx + c) and eval for x != 0 and x != -c / b
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3 -> ax^2 + b and eval for x != +-sqrt(b/a) (if a and b have same sign)
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"""
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def gene_type1(min_ = -10, max_ = 10):
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"""@todo: Docstring for gene_type1
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:param min_: @todo
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:param max_: @todo
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:returns: @todo
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"""
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a, b = 0, 0
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while (b in [0]) or (a in [0, 1]):
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a = randint(min_, max_)
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b = randint(1, max_)
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return "{}x + {}".format(a,b), [-b/a]
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def gene_type2(min_, max_):
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"""@todo: Docstring for gene_type2
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:param min_: @todo
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:param max_: @todo
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:returns: @todo
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"""
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a, b, c = 0, 0, 0
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while (a in [0, 1]) or (b in [0, 1]) or c in [0]:
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a = randint(min_, max_)
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b = randint(min_, max_)
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c = randint(1, max_)
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return "{}x({}x + {})".format(a,b,c), [0, -c/b]
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def gene_type3(min_ = -10, max_ = 10):
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"""@todo: Docstring for gene_type3
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:param min_: @todo
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:param max_: @todo
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:returns: @todo
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"""
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a, b = 0, 0
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while (b in [0]) or (a in [0, 1]):
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a = randint(min_, max_)
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b = randint(1, max_)
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if a*(-b) > 0:
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VI = [-sqrt(-b/a), sqrt(-b/a)]
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else:
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VI = []
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return "{}x^2 + {}".format(a,b), VI
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def get_goodX(VI, approx = 0, min_ = -10, max_ = 10):
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"""@todo: Docstring for get_goodX
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:param VI: @todo
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:returns: @todo
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"""
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x = uniform(min_, max_)
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if approx == 0:
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x = int(x)
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else:
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x = round(x,approx)
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while x in VI:
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x = uniform(min_, max_)
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if approx == 0:
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x = int(x)
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else:
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x = round(x,approx)
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return x
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def fullExo(min_ = -10 , max_ = 10):
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"""Generate the whole exo
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:param min_: @todo
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:param max_: @todo
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:returns: @todo
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"""
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template = Template("""
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\\begin{equation*}
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A = {{type1}} \\qquad B = {{type2}} \\qquad C = {{type3}}
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\\end{equation*}
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Évaluer $A$, $B$ et $C$ pour $x = {{x1}}$ puis $x = {{x2}}$""")
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type1, VI1 = gene_type1(min_, max_)
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type2, VI2 = gene_type2(min_, max_)
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type3, VI3 = gene_type3(min_, max_)
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VI = VI1 + VI2 + VI3
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x1, x2 = get_goodX(VI), get_goodX(VI, approx = 1)
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info = {"type1": type1, "type2": type2, "type3": type3, "x1":x1, "x2":x2}
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exo = template.render(**info)
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return exo
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def exp1(min_ = -10, max_ = 10, letter = "A"):
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"""@todo: Docstring for exp1
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:param min: @todo
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:param max: @todo
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:returns: @todo
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"""
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exp, VI = gene_type1(min_,max_)
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x = get_goodX(VI)
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tpl = Template("{{A}} = {{exp}} & \\mbox{avec} & x = {{x}}")
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return tpl.render(A = letter, exp = exp, x = x)
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def exp2(min_ = -10, max_ = 10, letter = "A"):
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"""@todo: Docstring for exp1
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:param min: @todo
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:param max: @todo
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:returns: @todo
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"""
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exp, VI = gene_type2(min_,max_)
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x = get_goodX(VI)
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tpl = Template("{{A}} = {{exp}} & \\mbox{avec} & x = {{x}}")
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return tpl.render(A = letter, exp = exp, x = x)
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if __name__ == '__main__':
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print(fullExo())
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# -----------------------------
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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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