99 lines
2.9 KiB
Python
99 lines
2.9 KiB
Python
def isInside(v, e):
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if type(e) is str:
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return v == e
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elif type(e) is tuple:
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if isInside(v, e[0]) or isInside(v, e[2]): return True
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return False
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def solve(v, q):
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if isInside(v, q[0]): return solving(v, q)
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elif isInside(v, q[2]): return solving(v, q[::-1])
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else: return None
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def solvingAdd(v, q):
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if isInside(v, q[0][0]):
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return solving(v, (q[0][0], '=', (q[2], '-', q[0][2])))
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elif isInside(v, q[0][2]):
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return solving(v, (q[0][2], '=', (q[2], '-', q[0][0])))
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def solvingSubtract(v, q):
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if isInside(v, q[0][0]):
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return solving(v, (q[0][0], '=', (q[2], '+', q[0][2])))
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elif isInside(v, q[0][2]):
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return solving(v, (q[0][2], '=', (q[0][0], '-', q[2])))
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def solvingMultiply(v, q):
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if isInside(v, q[0][0]):
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return solving(v, (q[0][0], '=', (q[2], '/', q[0][2])))
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elif isInside(v, q[0][2]):
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return solving(v, (q[0][2], '=', (q[2], '/', q[0][0])))
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def solvingDivide(v, q):
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if isInside(v, q[0][0]):
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return solving(v, (q[0][0], '=', (q[2], '*', q[0][2])))
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elif isInside(v, q[0][2]):
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return solving(v, (q[0][2], '=', (q[0][0], '/', q[2])))
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def solving(v, q):
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assert isInside(v, q[0])
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if v == q[0]:
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return q
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else:
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return {
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'+': solvingAdd,
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'-': solvingSubtract,
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'*': solvingMultiply,
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'/': solvingDivide
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}[q[0][1]](v, q)
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#
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# TESTS. Test the equation solver for CSci 1913 Lab 1.
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#
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# James B. Moen
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# 12 Sep 16
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#
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# Each PRINT is followed by a comment that shows what must be printed if your
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# program works correctly.
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print(isInside('x', 'x')) # True
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print(isInside('x', 'y')) # False
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print(isInside('x', ('x', '+', 'y'))) # True
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print(isInside('x', ('a', '+', 'b'))) # False
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print(isInside('x', (('m', '*', 'x'), '+', 'b'))) # True
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print(solve('x', (('a', '+', 'x'), '=', 'c'))) # ('x', '=', ('c', '-', 'a'))
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print(solve('x', (('x', '+', 'b'), '=', 'c'))) # ('x', '=', ('c', '-', 'b'))
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print(solve('x', (('a', '-', 'x'), '=', 'c'))) # ('x', '=', ('a', '-', 'c'))
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print(solve('x', (('x', '-', 'b'), '=', 'c'))) # ('x', '=', ('c', '+', 'b'))
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print(solve('x', (('a', '*', 'x'), '=', 'c'))) # ('x', '=', ('c', '/', 'a'))
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print(solve('x', (('x', '*', 'b'), '=', 'c'))) # ('x', '=', ('c', '/', 'b'))
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print(solve('x', (('a', '/', 'x'), '=', 'c'))) # ('x', '=', ('a', '/', 'c'))
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print(solve('x', (('x', '/', 'b'), '=', 'c'))) # ('x', '=', ('c', '*', 'b'))
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print(solve('x', ('y', '=', (('m', '*', 'x'), '+', 'b')))) # ('x', '=', (('y', '-', 'b'), '/', 'm')
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# custom case
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print(solve('x', (('a', '+', 'b'), '=', ('w', '-', ('x', '*', ('y', '/', 'z'))))))
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'''
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Results:
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True
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False
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True
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False
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True
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('x', '=', ('c', '-', 'a'))
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('x', '=', ('c', '-', 'b'))
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('x', '=', ('a', '-', 'c'))
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('x', '=', ('c', '+', 'b'))
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('x', '=', ('c', '/', 'a'))
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('x', '=', ('c', '/', 'b'))
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('x', '=', ('a', '/', 'c'))
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('x', '=', ('c', '*', 'b'))
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('x', '=', (('y', '-', 'b'), '/', 'm'))
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('x', '=', (('w', '-', ('a', '+', 'b')), '/', ('y', '/', 'z')))
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''' |