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30 lines
563 B
30 lines
563 B
load("number-theory.sage")
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#####
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# Chinese Remainder Theorem tests
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a_i = [5, 3, 10]
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m_i = [7, 11, 13]
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M = 1001
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assert crt(a_i, m_i, M) == 894
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a_i = [3, 8]
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m_i = [13, 17]
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M = 221
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assert crt(a_i, m_i, M) == 42
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#####
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# gcd, using Binary Euclidean algorithm tests
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assert gcd(21, 12) == 3
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assert gcd(1_426_668_559_730, 810_653_094_756) == 1_417_082
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assert gcd_recursive(21, 12) == 3
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#####
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# Extended Euclidean algorithm tests
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assert egcd(7, 19) == (1, -8, 3)
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assert egcd_recursive(7, 19) == (1, -8, 3)
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#####
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# Inverse modulo N tests
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assert inv_mod(7, 19) == 11
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