def getMultiplication(min=1, max=9, pDiv=0.5, pNeg=.5, fraction=False):
"""
Retourne un calcul de multiplication de fraction
- min : valeur minimum
"""
a = randomValue(min, max, pNeg=pNeg)
b = randomValue(min, max, pNeg=pNeg)
c = randomValue(min, max, pNeg=pNeg)
d = randomValue(min, max, pNeg=pNeg)
while d == 1 and b == 1: # ajout de deux entiers : inutile
d = randomValue(min, max, pNeg=pNeg)
if b == 1:
frac1 = str(a)
else:
frac1 = "\\dfrac{" + str(a) + "}{" + str(b) + "}"
if d == 1:
frac2 = str(c)
else:
frac2 = "\\dfrac{" + str(c) + "}{" + str(d) + "}"
op = "\\times" if random() > pDiv else "\\div"
if fraction and op == "\\div":
return "\\dfrac{" + frac1 + "}{" + frac2 + "}"
else:
return frac1 + op + frac2
def getProduitAffine(nbDigit=0,
equation=True,
possibleLetter="x",
simple=False):
a = randomValue(1, 9, nbDigit)
b = randomValue(1, 9, nbDigit)
c = randomValue(1, 9, nbDigit)
d = randomValue(1, 9, nbDigit)
letter = choice(possibleLetter)
op1 = choice(["+", "-"])
neg1 = choice(["-", ""])
op2 = choice(["+", "-"])
neg2 = choice(["-", ""])
if simple:
a = 1
c = 1
neg1 = ""
neg2 = ""
if equation:
eq = "="
else:
eq = choice(["<", ">", "\geq", "\leq"])
if a == 1:
a = ""
if c == 1:
c = ""
return f"$({neg1}{a}{letter} {op1} {b}) ({neg2}{c}{letter} {op2} {d}){eq} 0$"
def getAddition(min=1, max=9, pSub=0.5, pNeg=.5):
a = randomValue(min, max)
b = randomValue(min, max)
c = randomValue(min, max)
d = randomValue(min, max)
while d == 1 and b == 1: # ajout de deux entiers : inutile
d = randomValue(min, max)
if random() < pNeg: a = -a
if random() < pNeg: b = -b
if random() < pNeg: c = -c
if random() < pNeg: d = -d
if b == 1:
frac1 = str(a)
else:
frac1 = "\\dfrac{" + str(a) + "}{" + str(b) + "}"
if d == 1:
frac2 = str(c)
else:
frac2 = "\\dfrac{" + str(c) + "}{" + str(d) + "}"
op = "+" if random() > pSub else "-"
return frac1 + op + frac2
def getSquare(nbDigit=0, possibleLetter="x"):
a = randomValue(1, 9, nbDigit)
b = randomValue(1, 9, nbDigit)
letter = choice(possibleLetter)
eq = "="
if a == 1:
a = ""
return f"${a}{letter}^2 {eq} {round((b**2)*a, nbDigit * 2)}$"
def getAbsoluteIneq(nbDigit=0, p=0.2):
v = randomValue(1, 9, nbDigit)
r = randomValue(1, 9, nbDigit)
op = choice(["+", "-"])
ineq = choice(["<", ">", "\leq", "\geq"])
result = ""
if (random() < p): #forme |a=x|=b
result += "$|" + str(v) + op + "x|"
else: #forme |a=x|=b
result += "$|x" + op + str(v) + "|"
result += ineq + str(r) + "\hspace{1cm} x \in ..................$"
return result
def getAbsoluteEq(nbDigit=0, p=0.2):
v = randomValue(1, 9, nbDigit)
r = randomValue(1, 9, nbDigit)
op = choice(["+", "-"])
if (random() < p): #forme |a=x|=b
result = "$|" + str(v) + op + "x| = " + str(
r) + "\hspace{1cm} x = ......... $ ou $x = .........$"
else: #forme |a=x|=b
result = "$|x" + op + str(v) + "| = " + str(
r) + "\hspace{1cm} x = ......... $ ou $x = .........$"
return result
def getSquareAffine(nbDigit=0, possibleLetter="x"):
a = randomValue(1, 9, nbDigit)
b = randomValue(1, 9, nbDigit)
c = randomValue(1, 9, nbDigit)
letter = choice(possibleLetter)
eq = "="
op = choice(["+", "-"])
neg = choice(["-", ""])
if a == 1:
a = ""
return f"$({neg}{a}{letter} {op} {b})^2{eq} {round(c**2, nbDigit * 2)}$"
def getAffine(nbDigit=0, equation=True, possibleLetter="x"):
a = randomValue(1, 9, nbDigit)
b = randomValue(1, 9, nbDigit)
c = randomValue(1, 9, nbDigit)
letter = choice(possibleLetter)
if equation:
eq = "="
else:
eq = choice(["<", ">", "\geq", "\leq"])
op = choice(["+", "-"])
neg = choice(["-", ""])
if a == 1:
a = ""
return f"${neg}{a}{letter} {op} {b} {eq} {c}$"
def getLectureAffine(nbDroite = 1 , labelSize = LatexFontSize.large):
result = ""
graph = Graphique()
graph.repere = Repere(xUnitVect = (1,0), yUnitVect = (0,1))
graph.addPoint(1,2, "B")
for i in range(nbDroite):
a = randomValue(-5, 5)
b = randomValue(1, 5)
if random.random() > .5:
b = -b
c = randomValue(graph.repere.ymin, graph.repere.ymax)
graph.addAffine(a/b,c)
#graph.addAffine(-1/4,-2, nom="test")
return graph.render(labelSize)
def convertTemplate(template, min=1, max=9, pNeg=.5):
result = ""
for c in template:
if c == "f":
a = randomValue(min, max, pNeg=pNeg)
b = randomValue(min, max, pNeg=pNeg)
result += "(" + str(a) + "/" + str(b) + ")"
elif c == "e":
a = randomValue(min, max, pNeg=pNeg)
result += f"{a}"
elif c == "p":
a = randomValue(min, max, pNeg=0)
result += f"{a}"
elif c == "n":
a = randomValue(min, max, pNeg=1)
result += f"{a}"
else:
result += c
calcul = Calcul.fromExpression(result)
return calcul.toLatex()
def getDoubleAffine(nbDigit=0, equation=True, possibleLetter="x"):
a = randomValue(1, 9, nbDigit)
b = randomValue(1, 9, nbDigit)
c = randomValue(1, 9, nbDigit)
d = randomValue(1, 9, nbDigit)
letter = choice(possibleLetter)
op1 = choice(["+", "-"])
neg1 = choice(["-", ""])
op2 = choice(["+", "-"])
neg2 = choice(["-", ""])
if equation:
eq = "="
else:
eq = choice(["<", ">", "\geq", "\leq"])
if a == 1:
a = ""
if c == 1:
c = ""
return f"${neg1}{a}{letter} {op1} {b} {eq} {neg2}{c}{letter} {op2} {d}$"