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authorDaniel Friesel <daniel.friesel@uos.de>2019-09-11 17:33:36 +0200
committerDaniel Friesel <daniel.friesel@uos.de>2019-09-11 17:33:52 +0200
commitaf15bd8bcdb70de5dbf49fb0e785cda6da7e0bfc (patch)
tree9e0470835a858fdf344ea06798854fd6e71d0a89 /lib/modular_arithmetic.py
parentf3f0b1dc3c506672d4655c80948136460811dae4 (diff)
add simulation classes for online energy accounting inaccuracies
Diffstat (limited to 'lib/modular_arithmetic.py')
-rw-r--r--lib/modular_arithmetic.py125
1 files changed, 125 insertions, 0 deletions
diff --git a/lib/modular_arithmetic.py b/lib/modular_arithmetic.py
new file mode 100644
index 0000000..03cb7f8
--- /dev/null
+++ b/lib/modular_arithmetic.py
@@ -0,0 +1,125 @@
+# Based on https://rosettacode.org/wiki/Modular_arithmetic#Python
+# Licensed under GFDL 1.2 https://www.gnu.org/licenses/old-licenses/fdl-1.2.html
+import operator
+import functools
+
+@functools.total_ordering
+class Mod:
+ __slots__ = ['val','mod']
+
+ def __init__(self, val, mod):
+ if not isinstance(val, int):
+ raise ValueError('Value must be integer')
+ if not isinstance(mod, int) or mod<=0:
+ raise ValueError('Modulo must be positive integer')
+ self.val = val % mod
+ self.mod = mod
+
+ def __repr__(self):
+ return 'Mod({}, {})'.format(self.val, self.mod)
+
+ def __int__(self):
+ return self.val
+
+ def __eq__(self, other):
+ if isinstance(other, Mod):
+ self.val == other.val
+ elif isinstance(other, int):
+ return self.val == other
+ else:
+ return NotImplemented
+
+ def __lt__(self, other):
+ if isinstance(other, Mod):
+ return self.val < other.val
+ elif isinstance(other, int):
+ return self.val < other
+ else:
+ return NotImplemented
+
+ def _check_operand(self, other):
+ if not isinstance(other, (int, Mod)):
+ raise TypeError('Only integer and Mod operands are supported')
+
+ def __pow__(self, other):
+ self._check_operand(other)
+ # We use the built-in modular exponentiation function, this way we can avoid working with huge numbers.
+ return __class__(pow(self.val, int(other), self.mod), self.mod)
+
+ def __neg__(self):
+ return Mod(self.mod - self.val, self.mod)
+
+ def __pos__(self):
+ return self # The unary plus operator does nothing.
+
+ def __abs__(self):
+ return self # The value is always kept non-negative, so the abs function should do nothing.
+
+# Helper functions to build common operands based on a template.
+# They need to be implemented as functions for the closures to work properly.
+def _make_op(opname):
+ op_fun = getattr(operator, opname) # Fetch the operator by name from the operator module
+ def op(self, other):
+ self._check_operand(other)
+ return Mod(op_fun(self.val, int(other)) % self.mod, self.mod)
+ return op
+
+def _make_reflected_op(opname):
+ op_fun = getattr(operator, opname)
+ def op(self, other):
+ self._check_operand(other)
+ return Mod(op_fun(int(other), self.val) % self.mod, self.mod)
+ return op
+
+# Build the actual operator overload methods based on the template.
+for opname, reflected_opname in [('__add__', '__radd__'), ('__sub__', '__rsub__'), ('__mul__', '__rmul__')]:
+ setattr(Mod, opname, _make_op(opname))
+ setattr(Mod, reflected_opname, _make_reflected_op(opname))
+
+class Uint8(Mod):
+ __slots__ = []
+
+ def __init__(self, val):
+ super().__init__(val, 256)
+
+ def __repr__(self):
+ return 'Uint8({})'.format(self.val)
+
+class Uint16(Mod):
+ __slots__ = []
+
+ def __init__(self, val):
+ super().__init__(val, 65536)
+
+ def __repr__(self):
+ return 'Uint16({})'.format(self.val)
+
+class Uint32(Mod):
+ __slots__ = []
+
+ def __init__(self, val):
+ super().__init__(val, 4294967296)
+
+ def __repr__(self):
+ return 'Uint32({})'.format(self.val)
+
+class Uint64(Mod):
+ __slots__ = []
+
+ def __init__(self, val):
+ super().__init__(val, 18446744073709551616)
+
+ def __repr__(self):
+ return 'Uint64({})'.format(self.val)
+
+
+def simulate_int_type(int_type: str):
+ if int_type == 'uint8_t':
+ return Uint8
+ if int_type == 'uint16_t':
+ return Uint16
+ if int_type == 'uint32_t':
+ return Uint32
+ if int_type == 'uint64_t':
+ return Uint64
+ raise ValueError('unsupported integer type: {}'.format(int_type))