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base conversion fix
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50
mathgenerator/funcs/base_conversion.py
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50
mathgenerator/funcs/base_conversion.py
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@@ -0,0 +1,50 @@
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from .__init__ import *
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# base from 2 to 36
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alpha = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"
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def fromBaseTenTo(n, toBase):
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assert type(toBase) == int and toBase >= 2 and toBase <= 36, "toBase({}) must be >=2 and <=36"
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# trivial cases
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if toBase == 2:
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return bin(n)[2:]
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elif toBase == 8:
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return oct(n)[2:]
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elif toBase == 10:
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return str(n)
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elif toBase == 16:
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return hex(n)[2:].upper()
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res = alpha[n % toBase]
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n = n//toBase
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while n > 0:
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res = alpha[n % toBase] + res
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n = n//toBase
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return res
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# Useful to check answers, but not needed here
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# def toBaseTen(n,fromBase):
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# return int(n,fromBase)
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def baseConversionFunc(maxNum=60000, maxBase=16):
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assert type(
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maxNum) == int and maxNum >= 100 and maxNum <= 65536, "maxNum({}) must be >=100 and <=65536".format(maxNum)
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assert type(
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maxBase) == int and maxBase >= 2 and maxBase <= 36, "maxBase({}) must be >= 2 and <=36".format(maxBase)
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n = random.randint(40, maxNum)
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dist = [10]*10+[2]*5+[16]*5+[i for i in range(2, maxBase+1)]
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# set this way since converting to/from bases 2,10,16 are more common -- can be changed if needed.
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bases = random.choices(dist, k=2)
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while bases[0] == bases[1]:
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bases = random.choices(dist, k=2)
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problem = "Convert {} from base {} to base {}.".format(
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fromBaseTenTo(n, bases[0]), bases[0], bases[1])
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ans = fromBaseTenTo(n, bases[1])
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return problem, ans
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base_conversion = Generator("Base Conversion", 94, "Convert 152346 from base 8 to base 10.", "54502",
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baseConversionFunc)
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