X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/960f0c252361dfd696359f803aae40a9b13b14a6..7b93cea1daf2889e9ee10ca9c22a1b5124404937:/pypol/linexprs.py

diff --git a/pypol/linexprs.py b/pypol/linexprs.py
deleted file mode 100644
index bd3ad5a..0000000
--- a/pypol/linexprs.py
+++ /dev/null
@@ -1,479 +0,0 @@
-# Copyright 2014 MINES ParisTech
-#
-# This file is part of Linpy.
-#
-# Linpy is free software: you can redistribute it and/or modify
-# it under the terms of the GNU General Public License as published by
-# the Free Software Foundation, either version 3 of the License, or
-# (at your option) any later version.
-#
-# Linpy is distributed in the hope that it will be useful,
-# but WITHOUT ANY WARRANTY; without even the implied warranty of
-# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-# GNU General Public License for more details.
-#
-# You should have received a copy of the GNU General Public License
-# along with Linpy.  If not, see <http://www.gnu.org/licenses/>.
-
-import ast
-import functools
-import numbers
-import re
-
-from collections import OrderedDict, defaultdict, Mapping
-from fractions import Fraction, gcd
-
-
-__all__ = [
-    'Expression',
-    'Symbol', 'Dummy', 'symbols',
-    'Rational',
-]
-
-
-def _polymorphic(func):
-    @functools.wraps(func)
-    def wrapper(left, right):
-        if isinstance(right, Expression):
-            return func(left, right)
-        elif isinstance(right, numbers.Rational):
-            right = Rational(right)
-            return func(left, right)
-        return NotImplemented
-    return wrapper
-
-
-class Expression:
-    """
-    This class implements linear expressions.
-    """
-
-    def __new__(cls, coefficients=None, constant=0):
-        if isinstance(coefficients, str):
-            if constant != 0:
-                raise TypeError('too many arguments')
-            return Expression.fromstring(coefficients)
-        if coefficients is None:
-            return Rational(constant)
-        if isinstance(coefficients, Mapping):
-            coefficients = coefficients.items()
-        coefficients = list(coefficients)
-        for symbol, coefficient in coefficients:
-            if not isinstance(symbol, Symbol):
-                raise TypeError('symbols must be Symbol instances')
-            if not isinstance(coefficient, numbers.Rational):
-                raise TypeError('coefficients must be rational numbers')
-        if not isinstance(constant, numbers.Rational):
-            raise TypeError('constant must be a rational number')
-        if len(coefficients) == 0:
-            return Rational(constant)
-        if len(coefficients) == 1 and constant == 0:
-            symbol, coefficient = coefficients[0]
-            if coefficient == 1:
-                return symbol
-        coefficients = [(symbol, Fraction(coefficient))
-            for symbol, coefficient in coefficients if coefficient != 0]
-        coefficients.sort(key=lambda item: item[0].sortkey())
-        self = object().__new__(cls)
-        self._coefficients = OrderedDict(coefficients)
-        self._constant = Fraction(constant)
-        self._symbols = tuple(self._coefficients)
-        self._dimension = len(self._symbols)
-        return self
-
-    def coefficient(self, symbol):
-        if not isinstance(symbol, Symbol):
-            raise TypeError('symbol must be a Symbol instance')
-        return Rational(self._coefficients.get(symbol, 0))
-
-    __getitem__ = coefficient
-
-    def coefficients(self):
-        for symbol, coefficient in self._coefficients.items():
-            yield symbol, Rational(coefficient)
-
-    @property
-    def constant(self):
-        return Rational(self._constant)
-
-    @property
-    def symbols(self):
-        return self._symbols
-
-    @property
-    def dimension(self):
-        return self._dimension
-
-    def __hash__(self):
-        return hash((tuple(self._coefficients.items()), self._constant))
-
-    def isconstant(self):
-        return False
-
-    def issymbol(self):
-        return False
-
-    def values(self):
-        for coefficient in self._coefficients.values():
-            yield Rational(coefficient)
-        yield Rational(self._constant)
-
-    def __bool__(self):
-        return True
-
-    def __pos__(self):
-        return self
-
-    def __neg__(self):
-        return self * -1
-
-    @_polymorphic
-    def __add__(self, other):
-        coefficients = defaultdict(Fraction, self._coefficients)
-        for symbol, coefficient in other._coefficients.items():
-            coefficients[symbol] += coefficient
-        constant = self._constant + other._constant
-        return Expression(coefficients, constant)
-
-    __radd__ = __add__
-
-    @_polymorphic
-    def __sub__(self, other):
-        coefficients = defaultdict(Fraction, self._coefficients)
-        for symbol, coefficient in other._coefficients.items():
-            coefficients[symbol] -= coefficient
-        constant = self._constant - other._constant
-        return Expression(coefficients, constant)
-
-    @_polymorphic
-    def __rsub__(self, other):
-        return other - self
-
-    def __mul__(self, other):
-        if isinstance(other, numbers.Rational):
-            coefficients = ((symbol, coefficient * other)
-                for symbol, coefficient in self._coefficients.items())
-            constant = self._constant * other
-            return Expression(coefficients, constant)
-        return NotImplemented
-
-    __rmul__ = __mul__
-
-    def __truediv__(self, other):
-        if isinstance(other, numbers.Rational):
-            coefficients = ((symbol, coefficient / other)
-                for symbol, coefficient in self._coefficients.items())
-            constant = self._constant / other
-            return Expression(coefficients, constant)
-        return NotImplemented
-
-    @_polymorphic
-    def __eq__(self, other):
-        # returns a boolean, not a constraint
-        # see http://docs.sympy.org/dev/tutorial/gotchas.html#equals-signs
-        return isinstance(other, Expression) and \
-            self._coefficients == other._coefficients and \
-            self._constant == other._constant
-
-    def __le__(self, other):
-        from .polyhedra import Le
-        return Le(self, other)
-
-    def __lt__(self, other):
-        from .polyhedra import Lt
-        return Lt(self, other)
-
-    def __ge__(self, other):
-        from .polyhedra import Ge
-        return Ge(self, other)
-
-    def __gt__(self, other):
-        from .polyhedra import Gt
-        return Gt(self, other)
-
-    def scaleint(self):
-        lcm = functools.reduce(lambda a, b: a*b // gcd(a, b),
-            [value.denominator for value in self.values()])
-        return self * lcm
-
-    def subs(self, symbol, expression=None):
-        if expression is None:
-            if isinstance(symbol, Mapping):
-                symbol = symbol.items()
-            substitutions = symbol
-        else:
-            substitutions = [(symbol, expression)]
-        result = self
-        for symbol, expression in substitutions:
-            if not isinstance(symbol, Symbol):
-                raise TypeError('symbols must be Symbol instances')
-            coefficients = [(othersymbol, coefficient)
-                for othersymbol, coefficient in result._coefficients.items()
-                if othersymbol != symbol]
-            coefficient = result._coefficients.get(symbol, 0)
-            constant = result._constant
-            result = Expression(coefficients, constant) + coefficient*expression
-        return result
-
-    @classmethod
-    def _fromast(cls, node):
-        if isinstance(node, ast.Module) and len(node.body) == 1:
-            return cls._fromast(node.body[0])
-        elif isinstance(node, ast.Expr):
-            return cls._fromast(node.value)
-        elif isinstance(node, ast.Name):
-            return Symbol(node.id)
-        elif isinstance(node, ast.Num):
-            return Rational(node.n)
-        elif isinstance(node, ast.UnaryOp) and isinstance(node.op, ast.USub):
-            return -cls._fromast(node.operand)
-        elif isinstance(node, ast.BinOp):
-            left = cls._fromast(node.left)
-            right = cls._fromast(node.right)
-            if isinstance(node.op, ast.Add):
-                return left + right
-            elif isinstance(node.op, ast.Sub):
-                return left - right
-            elif isinstance(node.op, ast.Mult):
-                return left * right
-            elif isinstance(node.op, ast.Div):
-                return left / right
-        raise SyntaxError('invalid syntax')
-
-    _RE_NUM_VAR = re.compile(r'(\d+|\))\s*([^\W\d_]\w*|\()')
-
-    @classmethod
-    def fromstring(cls, string):
-        # add implicit multiplication operators, e.g. '5x' -> '5*x'
-        string = Expression._RE_NUM_VAR.sub(r'\1*\2', string)
-        tree = ast.parse(string, 'eval')
-        return cls._fromast(tree)
-
-    def __repr__(self):
-        string = ''
-        for i, (symbol, coefficient) in enumerate(self.coefficients()):
-            if coefficient == 1:
-                if i != 0:
-                    string += ' + '
-            elif coefficient == -1:
-                string += '-' if i == 0 else ' - '
-            elif i == 0:
-                string += '{}*'.format(coefficient)
-            elif coefficient > 0:
-                string += ' + {}*'.format(coefficient)
-            else:
-                string += ' - {}*'.format(-coefficient)
-            string += '{}'.format(symbol)
-        constant = self.constant
-        if len(string) == 0:
-            string += '{}'.format(constant)
-        elif constant > 0:
-            string += ' + {}'.format(constant)
-        elif constant < 0:
-            string += ' - {}'.format(-constant)
-        return string
-
-    def _repr_latex_(self):
-        string = ''
-        for i, (symbol, coefficient) in enumerate(self.coefficients()):
-            if coefficient == 1:
-                if i != 0:
-                    string += ' + '
-            elif coefficient == -1:
-                string += '-' if i == 0 else ' - '
-            elif i == 0:
-                string += '{}'.format(coefficient._repr_latex_().strip('$'))
-            elif coefficient > 0:
-                string += ' + {}'.format(coefficient._repr_latex_().strip('$'))
-            elif coefficient < 0:
-                string += ' - {}'.format((-coefficient)._repr_latex_().strip('$'))
-            string += '{}'.format(symbol._repr_latex_().strip('$'))
-        constant = self.constant
-        if len(string) == 0:
-            string += '{}'.format(constant._repr_latex_().strip('$'))
-        elif constant > 0:
-            string += ' + {}'.format(constant._repr_latex_().strip('$'))
-        elif constant < 0:
-            string += ' - {}'.format((-constant)._repr_latex_().strip('$'))
-        return '$${}$$'.format(string)
-
-    def _parenstr(self, always=False):
-        string = str(self)
-        if not always and (self.isconstant() or self.issymbol()):
-            return string
-        else:
-            return '({})'.format(string)
-
-    @classmethod
-    def fromsympy(cls, expr):
-        import sympy
-        coefficients = []
-        constant = 0
-        for symbol, coefficient in expr.as_coefficients_dict().items():
-            coefficient = Fraction(coefficient.p, coefficient.q)
-            if symbol == sympy.S.One:
-                constant = coefficient
-            elif isinstance(symbol, sympy.Symbol):
-                symbol = Symbol(symbol.name)
-                coefficients.append((symbol, coefficient))
-            else:
-                raise ValueError('non-linear expression: {!r}'.format(expr))
-        return Expression(coefficients, constant)
-
-    def tosympy(self):
-        import sympy
-        expr = 0
-        for symbol, coefficient in self.coefficients():
-            term = coefficient * sympy.Symbol(symbol.name)
-            expr += term
-        expr += self.constant
-        return expr
-
-
-class Symbol(Expression):
-
-    def __new__(cls, name):
-        if not isinstance(name, str):
-            raise TypeError('name must be a string')
-        self = object().__new__(cls)
-        self._name = name.strip()
-        self._coefficients = {self: Fraction(1)}
-        self._constant = Fraction(0)
-        self._symbols = (self,)
-        self._dimension = 1
-        return self
-
-    @property
-    def name(self):
-        return self._name
-
-    def __hash__(self):
-        return hash(self.sortkey())
-
-    def sortkey(self):
-        return self.name,
-
-    def issymbol(self):
-        return True
-
-    def __eq__(self, other):
-        return self.sortkey() == other.sortkey()
-
-    def asdummy(self):
-        return Dummy(self.name)
-
-    @classmethod
-    def _fromast(cls, node):
-        if isinstance(node, ast.Module) and len(node.body) == 1:
-            return cls._fromast(node.body[0])
-        elif isinstance(node, ast.Expr):
-            return cls._fromast(node.value)
-        elif isinstance(node, ast.Name):
-            return Symbol(node.id)
-        raise SyntaxError('invalid syntax')
-
-    def __repr__(self):
-        return self.name
-
-    def _repr_latex_(self):
-        return '$${}$$'.format(self.name)
-
-    @classmethod
-    def fromsympy(cls, expr):
-        import sympy
-        if isinstance(expr, sympy.Dummy):
-            return Dummy(expr.name)
-        elif isinstance(expr, sympy.Symbol):
-            return Symbol(expr.name)
-        else:
-            raise TypeError('expr must be a sympy.Symbol instance')
-
-
-class Dummy(Symbol):
-
-    _count = 0
-
-    def __new__(cls, name=None):
-        if name is None:
-            name = 'Dummy_{}'.format(Dummy._count)
-        elif not isinstance(name, str):
-            raise TypeError('name must be a string')
-        self = object().__new__(cls)
-        self._index = Dummy._count
-        self._name = name.strip()
-        self._coefficients = {self: Fraction(1)}
-        self._constant = Fraction(0)
-        self._symbols = (self,)
-        self._dimension = 1
-        Dummy._count += 1
-        return self
-
-    def __hash__(self):
-        return hash(self.sortkey())
-
-    def sortkey(self):
-        return self._name, self._index
-
-    def __repr__(self):
-        return '_{}'.format(self.name)
-
-    def _repr_latex_(self):
-        return '$${}_{{{}}}$$'.format(self.name, self._index)
-
-
-def symbols(names):
-    if isinstance(names, str):
-        names = names.replace(',', ' ').split()
-    return tuple(Symbol(name) for name in names)
-
-
-class Rational(Expression, Fraction):
-
-    def __new__(cls, numerator=0, denominator=None):
-        self = object().__new__(cls)
-        self._coefficients = {}
-        self._constant = Fraction(numerator, denominator)
-        self._symbols = ()
-        self._dimension = 0
-        self._numerator = self._constant.numerator
-        self._denominator = self._constant.denominator
-        return self
-
-    def __hash__(self):
-        return Fraction.__hash__(self)
-
-    @property
-    def constant(self):
-        return self
-
-    def isconstant(self):
-        return True
-
-    def __bool__(self):
-        return Fraction.__bool__(self)
-
-    def __repr__(self):
-        if self.denominator == 1:
-            return '{!r}'.format(self.numerator)
-        else:
-            return '{!r}/{!r}'.format(self.numerator, self.denominator)
-
-    def _repr_latex_(self):
-        if self.denominator == 1:
-            return '$${}$$'.format(self.numerator)
-        elif self.numerator < 0:
-            return '$$-\\frac{{{}}}{{{}}}$$'.format(-self.numerator,
-                self.denominator)
-        else:
-            return '$$\\frac{{{}}}{{{}}}$$'.format(self.numerator,
-                self.denominator)
-
-    @classmethod
-    def fromsympy(cls, expr):
-        import sympy
-        if isinstance(expr, sympy.Rational):
-            return Rational(expr.p, expr.q)
-        elif isinstance(expr, numbers.Rational):
-            return Rational(expr)
-        else:
-            raise TypeError('expr must be a sympy.Rational instance')