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language/units: better support for ops on different dimensions
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@ -5,12 +5,49 @@ _prefixes_str = "pnum_kMG"
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_smallest_prefix = _Fraction(1, 10**12)
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class DimensionError(Exception):
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"""Exception raised when attempting operations on incompatible units
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(e.g. adding seconds and hertz).
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def mul_dimension(l, r):
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if l is None:
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return r
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if r is None:
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return l
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if {l, r} == {"Hz", "s"}:
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return None
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"""
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pass
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def _rmul_dimension(l, r):
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return mul_dimension(r, l)
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def div_dimension(l, r):
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if l == r:
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return None
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if r is None:
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return l
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if l is None:
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if r == "s":
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return "Hz"
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if r == "Hz":
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return "s"
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def _rdiv_dimension(l, r):
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return div_dimension(r, l)
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def addsub_dimension(x, y):
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if x == y:
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return x
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else:
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return None
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def _format(amount, unit):
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if amount is NotImplemented:
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return NotImplemented
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if unit is None:
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return amount
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else:
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return Quantity(amount, unit)
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class Quantity:
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@ -46,92 +83,77 @@ class Quantity:
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return str(r_amount) + " " + self.unit
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# mul/div
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def __mul__(self, other):
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def _binop(self, other, opf_name, dim_function):
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opf = getattr(self.amount, opf_name)
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if isinstance(other, Quantity):
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return NotImplemented
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return Quantity(self.amount*other, self.unit)
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amount = opf(other.amount)
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unit = dim_function(self.unit, other.unit)
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else:
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amount = opf(other)
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unit = dim_function(self.unit, None)
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return _format(amount, unit)
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def __mul__(self, other):
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return self._binop(other, "__mul__", mul_dimension)
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def __rmul__(self, other):
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if isinstance(other, Quantity):
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return NotImplemented
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return Quantity(other*self.amount, self.unit)
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return self._binop(other, "__rmul__", _rmul_dimension)
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def __truediv__(self, other):
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if isinstance(other, Quantity):
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if other.unit == self.unit:
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return self.amount/other.amount
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else:
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return NotImplemented
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else:
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return Quantity(self.amount/other, self.unit)
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return self._binop(other, "__truediv__", div_dimension)
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def __rtruediv__(self, other):
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return self._binop(other, "__rtruediv__", _rdiv_dimension)
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def __floordiv__(self, other):
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if isinstance(other, Quantity):
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if other.unit == self.unit:
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return self.amount//other.amount
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else:
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return NotImplemented
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else:
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return Quantity(self.amount//other, self.unit)
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return self._binop(other, "__floordiv__", div_dimension)
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def __rfloordiv__(self, other):
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return self._binop(other, "__rfloordiv__", _rdiv_dimension)
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# unary ops
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def __neg__(self):
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return Quantity(-self.amount, self.unit)
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return Quantity(self.amount.__neg__(), self.unit)
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def __pos__(self):
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return Quantity(self.amount, self.unit)
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return Quantity(self.amount.__pos__(), self.unit)
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# add/sub
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def __add__(self, other):
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if self.unit != other.unit:
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raise DimensionError
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return Quantity(self.amount + other.amount, self.unit)
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return self._binop(other, "__add__", addsub_dimension)
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def __radd__(self, other):
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if self.unit != other.unit:
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raise DimensionError
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return Quantity(other.amount + self.amount, self.unit)
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return self._binop(other, "__radd__", addsub_dimension)
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def __sub__(self, other):
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if self.unit != other.unit:
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raise DimensionError
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return Quantity(self.amount - other.amount, self.unit)
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return self._binop(other, "__sub__", addsub_dimension)
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def __rsub__(self, other):
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if self.unit != other.unit:
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raise DimensionError
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return Quantity(other.amount - self.amount, self.unit)
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return self._binop(other, "__rsub__", addsub_dimension)
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# comparisons
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def _cmp(self, other, opf_name):
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if isinstance(other, Quantity):
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other = other.amount
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return getattr(self.amount, opf_name)(other)
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def __lt__(self, other):
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if self.unit != other.unit:
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raise DimensionError
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return self.amount < other.amount
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return self._cmp(other, "__lt__")
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def __le__(self, other):
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if self.unit != other.unit:
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raise DimensionError
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return self.amount <= other.amount
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return self._cmp(other, "__le__")
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def __eq__(self, other):
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if self.unit != other.unit:
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raise DimensionError
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return self.amount == other.amount
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return self._cmp(other, "__eq__")
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def __ne__(self, other):
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if self.unit != other.unit:
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raise DimensionError
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return self.amount != other.amount
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return self._cmp(other, "__ne__")
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def __gt__(self, other):
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if self.unit != other.unit:
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raise DimensionError
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return self.amount > other.amount
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return self._cmp(other, "__gt__")
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def __ge__(self, other):
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if self.unit != other.unit:
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raise DimensionError
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return self.amount >= other.amount
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return self._cmp(other, "__ge__")
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def _register_unit(unit, prefixes):
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