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101 lines
1.9 KiB
Nim
101 lines
1.9 KiB
Nim
include sets
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let
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s1: TSet[int] = toSet([1, 2, 4, 8, 16])
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s2: TSet[int] = toSet([1, 2, 3, 5, 8])
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s3: TSet[int] = toSet([3, 5, 7])
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block union:
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let
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s1_s2 = union(s1, s2)
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s1_s3 = s1 + s3
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s2_s3 = s2 + s3
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assert s1_s2.len == 7
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assert s1_s3.len == 8
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assert s2_s3.len == 6
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for i in s1:
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assert i in s1_s2
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assert i in s1_s3
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for i in s2:
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assert i in s1_s2
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assert i in s2_s3
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for i in s3:
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assert i in s1_s3
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assert i in s2_s3
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assert((s1 + s1) == s1)
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assert((s2 + s1) == s1_s2)
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block intersection:
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let
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s1_s2 = intersection(s1, s2)
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s1_s3 = intersection(s1, s3)
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s2_s3 = s2 * s3
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assert s1_s2.len == 3
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assert s1_s3.len == 0
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assert s2_s3.len == 2
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for i in s1_s2:
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assert i in s1
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assert i in s2
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for i in s1_s3:
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assert i in s1
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assert i in s3
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for i in s2_s3:
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assert i in s2
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assert i in s3
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assert((s2 * s2) == s2)
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assert((s3 * s2) == s2_s3)
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block symmetricDifference:
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let
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s1_s2 = symmetricDifference(s1, s2)
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s1_s3 = s1 -+- s3
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s2_s3 = s2 -+- s3
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assert s1_s2.len == 4
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assert s1_s3.len == 8
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assert s2_s3.len == 4
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for i in s1:
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assert i in s1_s2 xor i in s2
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assert i in s1_s3 xor i in s3
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for i in s2:
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assert i in s1_s2 xor i in s1
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assert i in s2_s3 xor i in s3
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for i in s3:
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assert i in s1_s3 xor i in s1
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assert i in s2_s3 xor i in s2
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assert((s3 -+- s3) == initSet[int]())
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assert((s3 -+- s1) == s1_s3)
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block difference:
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let
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s1_s2 = difference(s1, s2)
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s1_s3 = difference(s1, s3)
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s2_s3 = s2 - s3
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assert s1_s2.len == 2
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assert s1_s3.len == 5
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assert s2_s3.len == 3
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for i in s1:
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assert i in s1_s2 xor i in s2
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assert i in s1_s3 xor i in s3
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for i in s2:
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assert i in s2_s3 xor i in s3
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assert((s2 - s2) == initSet[int]())
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assert((s1 - s3 - s1) == s1 -+- s3)
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block disjoint:
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assert(not disjoint(s1, s2))
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assert disjoint(s1, s3)
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assert(not disjoint(s2, s3))
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assert(not disjoint(s2, s2))
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