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https://github.com/DeaDvey/mathgenerator.git
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74 lines
2.3 KiB
Python
74 lines
2.3 KiB
Python
from .__init__ import *
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from ..__init__ import Generator
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def intersectionOfTwoLinesFunc(minM=-10,
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maxM=10,
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minB=-10,
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maxB=10,
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minDenominator=1,
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maxDenominator=6):
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def generateEquationString(m, b):
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"""
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Generates an equation given the slope and intercept.
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It handles cases where m is fractional.
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It also ensures that we don't have weird signs such as y = mx + -b.
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"""
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if m[1] == 1:
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m = m[0]
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else:
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m = f"{m[0]}/{m[1]}"
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base = f"y = {m}x"
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if b > 0:
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return f"{base} + {b}"
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elif b < 0:
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return f"{base} - {b * -1}"
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else:
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return base
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def fractionToString(x):
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"""
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Converts the given fractions.Fraction into a string.
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"""
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if x.denominator == 1:
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x = x.numerator
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else:
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x = f"{x.numerator}/{x.denominator}"
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return x
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m1 = (random.randint(minM,
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maxM), random.randint(minDenominator, maxDenominator))
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m2 = (random.randint(minM,
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maxM), random.randint(minDenominator, maxDenominator))
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b1 = random.randint(minB, maxB)
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b2 = random.randint(minB, maxB)
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equation1 = generateEquationString(m1, b1)
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equation2 = generateEquationString(m2, b2)
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problem = "Find the point of intersection of the two lines: "
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problem += f"{equation1} and {equation2}"
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m1 = fractions.Fraction(*m1)
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m2 = fractions.Fraction(*m2)
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# if m1 == m2 then the slopes are equal
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# This can happen if both line are the same
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# Or if they are parallel
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# In either case there is no intersection
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if m1 == m2:
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solution = "No Solution"
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else:
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intersection_x = (b1 - b2) / (m2 - m1)
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intersection_y = ((m2 * b1) - (m1 * b2)) / (m2 - m1)
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solution = f"({fractionToString(intersection_x)}, {fractionToString(intersection_y)})"
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return problem, solution
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intersectionOfTwoLines = Generator(
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"Intersection of Two Lines", 41,
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"Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2",
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"(x, y)", intersectionOfTwoLinesFunc)
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