| 1 | """
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| 2 | Math operations, e.g. for arbitrary precision integers
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| 3 |
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| 4 | They are currently int64_t, rather than C int, but we want to upgrade to
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| 5 | heap-allocated integers.
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| 6 |
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| 7 | Regular int ops can use the normal operators + - * /, or maybe i_add() if we
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| 8 | really want. Does that make code gen harder or worse?
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| 9 |
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| 10 | Float ops could be + - * / too, but it feels nicer to develop a formal
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| 11 | interface?
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| 12 | """
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| 13 | from __future__ import print_function
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| 14 |
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| 15 | from typing import Tuple
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| 16 |
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| 17 |
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| 18 | class BigInt(object):
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| 19 |
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| 20 | def __init__(self, i):
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| 21 | # type: (int) -> None
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| 22 | self.i = i
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| 23 |
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| 24 | def __eq__(self, other):
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| 25 | # type: (object) -> bool
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| 26 |
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| 27 | # Disabled check
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| 28 | # Prevent possible mistakes. Could do this with other operators
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| 29 | # raise AssertionError('Use mops.Equal()')
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| 30 |
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| 31 | if not isinstance(other, BigInt):
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| 32 | raise AssertionError()
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| 33 |
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| 34 | # Used for hashing
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| 35 | return self.i == other.i
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| 36 |
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| 37 | def __gt__(self, other):
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| 38 | # type: (object) -> bool
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| 39 | raise AssertionError('Use functions in mops.py')
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| 40 |
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| 41 | def __ge__(self, other):
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| 42 | # type: (object) -> bool
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| 43 | raise AssertionError('Use functions in mops.py')
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| 44 |
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| 45 | def __hash__(self):
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| 46 | # type: () -> int
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| 47 | """For dict lookups."""
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| 48 | return hash(self.i)
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| 49 |
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| 50 |
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| 51 | ZERO = BigInt(0)
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| 52 | ONE = BigInt(1)
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| 53 | MINUS_ONE = BigInt(-1)
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| 54 | MINUS_TWO = BigInt(-2) # for printf
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| 55 |
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| 56 |
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| 57 | def ToStr(b):
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| 58 | # type: (BigInt) -> str
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| 59 | return str(b.i)
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| 60 |
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| 61 |
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| 62 | def ToOctal(b):
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| 63 | # type: (BigInt) -> str
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| 64 | return '%o' % b.i
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| 65 |
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| 66 |
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| 67 | def ToHexUpper(b):
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| 68 | # type: (BigInt) -> str
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| 69 | return '%X' % b.i
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| 70 |
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| 71 |
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| 72 | def ToHexLower(b):
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| 73 | # type: (BigInt) -> str
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| 74 | return '%x' % b.i
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| 75 |
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| 76 |
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| 77 | def FromStr(s, base=10):
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| 78 | # type: (str, int) -> BigInt
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| 79 | return BigInt(int(s, base))
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| 80 |
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| 81 |
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| 82 | def BigTruncate(b):
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| 83 | # type: (BigInt) -> int
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| 84 | """Only truncates in C++"""
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| 85 | return b.i
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| 86 |
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| 87 |
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| 88 | def IntWiden(i):
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| 89 | # type: (int) -> BigInt
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| 90 | """Only widens in C++"""
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| 91 | return BigInt(i)
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| 92 |
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| 93 |
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| 94 | def FromC(i):
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| 95 | # type: (int) -> BigInt
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| 96 | """A no-op in C, for RLIM_INFINITY"""
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| 97 | return BigInt(i)
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| 98 |
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| 99 |
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| 100 | def FromBool(b):
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| 101 | # type: (bool) -> BigInt
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| 102 | """Only widens in C++"""
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| 103 | return BigInt(1) if b else BigInt(0)
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| 104 |
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| 105 |
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| 106 | def ToFloat(b):
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| 107 | # type: (BigInt) -> float
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| 108 | """Used by float(42) in Oils"""
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| 109 | return float(b.i)
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| 110 |
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| 111 |
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| 112 | def FromFloat(f):
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| 113 | # type: (float) -> Tuple[bool, BigInt]
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| 114 | """Used by int(3.14) in Oils"""
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| 115 | try:
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| 116 | big = int(f)
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| 117 | except ValueError: # NAN
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| 118 | return False, MINUS_ONE
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| 119 | except OverflowError: # INFINITY
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| 120 | return False, MINUS_ONE
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| 121 | return True, BigInt(big)
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| 122 |
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| 123 |
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| 124 | # Can't use operator overloading
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| 125 |
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| 126 |
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| 127 | def Negate(b):
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| 128 | # type: (BigInt) -> BigInt
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| 129 | return BigInt(-b.i)
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| 130 |
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| 131 |
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| 132 | def Add(a, b):
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| 133 | # type: (BigInt, BigInt) -> BigInt
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| 134 | return BigInt(a.i + b.i)
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| 135 |
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| 136 |
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| 137 | def Sub(a, b):
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| 138 | # type: (BigInt, BigInt) -> BigInt
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| 139 | return BigInt(a.i - b.i)
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| 140 |
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| 141 |
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| 142 | def Mul(a, b):
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| 143 | # type: (BigInt, BigInt) -> BigInt
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| 144 | return BigInt(a.i * b.i)
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| 145 |
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| 146 |
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| 147 | def Div(a, b):
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| 148 | # type: (BigInt, BigInt) -> BigInt
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| 149 | """
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| 150 | Divide, for positive integers only
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| 151 |
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| 152 | Question: does Oils behave like C remainder when it's positive? Then we
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| 153 | could be more efficient with a different layering?
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| 154 | """
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| 155 | assert a.i >= 0, a.i
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| 156 | assert b.i > 0, b.i # can't be zero, caller checks
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| 157 | return BigInt(a.i // b.i)
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| 158 |
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| 159 |
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| 160 | def Rem(a, b):
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| 161 | # type: (BigInt, BigInt) -> BigInt
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| 162 | """
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| 163 | Remainder, for positive integers only
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| 164 | """
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| 165 | assert a.i >= 0, a.i
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| 166 | assert b.i > 0, b.i # can't be zero, caller checks
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| 167 | return BigInt(a.i % b.i)
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| 168 |
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| 169 |
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| 170 | def Equal(a, b):
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| 171 | # type: (BigInt, BigInt) -> bool
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| 172 | return a.i == b.i
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| 173 |
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| 174 |
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| 175 | def Greater(a, b):
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| 176 | # type: (BigInt, BigInt) -> bool
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| 177 | return a.i > b.i
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| 178 |
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| 179 |
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| 180 | # GreaterEq, Less, LessEq can all be expressed as the 2 ops above
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| 181 |
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| 182 |
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| 183 | def LShift(a, b):
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| 184 | # type: (BigInt, BigInt) -> BigInt
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| 185 | assert b.i >= 0, b.i # Must be checked by caller
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| 186 | return BigInt(a.i << b.i)
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| 187 |
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| 188 |
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| 189 | def RShift(a, b):
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| 190 | # type: (BigInt, BigInt) -> BigInt
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| 191 | assert b.i >= 0, b.i # Must be checked by caller
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| 192 | return BigInt(a.i >> b.i)
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| 193 |
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| 194 |
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| 195 | def BitAnd(a, b):
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| 196 | # type: (BigInt, BigInt) -> BigInt
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| 197 | return BigInt(a.i & b.i)
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| 198 |
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| 199 |
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| 200 | def BitOr(a, b):
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| 201 | # type: (BigInt, BigInt) -> BigInt
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| 202 | return BigInt(a.i | b.i)
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| 203 |
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| 204 |
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| 205 | def BitXor(a, b):
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| 206 | # type: (BigInt, BigInt) -> BigInt
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| 207 | return BigInt(a.i ^ b.i)
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| 208 |
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| 209 |
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| 210 | def BitNot(a):
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| 211 | # type: (BigInt) -> BigInt
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| 212 | return BigInt(~a.i)
|