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Merge pull request #82 from priyansh-anand/master

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Added linear equations in n variables
This commit is contained in:
Luke Weiler
2020-10-16 09:57:44 -04:00
committed by GitHub
parent 561d03df4d 61fcb86a3d
commit d8d3690e91
1 changed files with 26 additions and 2 deletions
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mathgenerator/mathgen.py
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@@ -15,8 +15,8 @@ class Generator:
def __str__(self): def __str__(self):
return str(self.id) + " " + self.title + " " + self.generalProb + " " + self.generalSol return str(self.id) + " " + self.title + " " + self.generalProb + " " + self.generalSol
def __call__(self): def __call__(self, **kwargs):
return self.func() return self.func(**kwargs)
# || Non-generator Functions # || Non-generator Functions
def genById(id): def genById(id):
@@ -347,6 +347,29 @@ def pythagoreanTheoremFunc(maxLength = 20):
solution = f"{c:.0f}" if c.is_integer() else f"{c:.2f}" solution = f"{c:.0f}" if c.is_integer() else f"{c:.2f}"
return problem, solution return problem, solution
def linearEquationsFunc(n = 2, varRange = 20, coeffRange = 20):
if n > 10:
print("[!] n cannot be greater than 10")
return None, None
vars = ['x', 'y', 'z', 'a', 'b', 'c', 'd', 'e', 'f', 'g'][:n]
soln = [ random.randint(-varRange, varRange) for i in range(n) ]
problem = list()
solution = ", ".join(["{} = {}".format(vars[i], soln[i]) for i in range(n)])
for _ in range(n):
coeff = [ random.randint(-coeffRange, coeffRange) for i in range(n) ]
res = sum([ coeff[i] * soln[i] for i in range(n)])
prob = ["{}{}".format(coeff[i], vars[i]) if coeff[i] != 0 else "" for i in range(n)]
while "" in prob:
prob.remove("")
prob = " + ".join(prob) + " = " + str(res)
problem.append(prob)
problem = "\n".join(problem)
return problem, solution
# || Class Instances # || Class Instances
#Format is: #Format is:
@@ -378,3 +401,4 @@ systemOfEquations = Generator("Solve a System of Equations in R^2", 23, "2x + 5y
systemOfEquationsFunc) systemOfEquationsFunc)
distance2Point = Generator("Distance between 2 points", 24, "Find the distance between (x1,y1) and (x2,y2)","sqrt(distanceSquared)", distanceTwoPointsFunc) distance2Point = Generator("Distance between 2 points", 24, "Find the distance between (x1,y1) and (x2,y2)","sqrt(distanceSquared)", distanceTwoPointsFunc)
pythagoreanTheorem = Generator("Pythagorean Theorem", 25, "The hypotenuse of a right triangle given the other two lengths a and b = ", "hypotenuse", pythagoreanTheoremFunc) pythagoreanTheorem = Generator("Pythagorean Theorem", 25, "The hypotenuse of a right triangle given the other two lengths a and b = ", "hypotenuse", pythagoreanTheoremFunc)
linearEquations = Generator("Linear Equations", 26, "2x+5y=20 & 3x+6y=12", "x=-20 & y=12", linearEquationsFunc)