Working test suite

[linpy.git] / pypol / linear.py

diff --git a/pypol/linear.py b/pypol/linear.py
index 343acc7..845fac3 100644 (file)
--- a/pypol/linear.py
+++ b/pypol/linear.py
@@ -1,32 +1,28 @@
+import ctypes, ctypes.util

 import functools
 import numbers
 import functools
 import numbers

-import ctypes, ctypes.util
-from pypol import isl

 
 from fractions import Fraction, gcd
 
 
 from fractions import Fraction, gcd
 

-libisl = ctypes.CDLL(ctypes.util.find_library('isl'))
+from . import isl
+from .isl import libisl

 
 

-libisl.isl_printer_get_str.restype = ctypes.c_char_p

 
 __all__ = [
 
 __all__ = [

-    'Expression',
-    'constant', 'symbol', 'symbols',
+    'Expression', 'Constant', 'Symbol', 'symbols',

     'eq', 'le', 'lt', 'ge', 'gt',
     'Polyhedron',
     'empty', 'universe'
 ]
 
 
     'eq', 'le', 'lt', 'ge', 'gt',
     'Polyhedron',
     'empty', 'universe'
 ]
 
 

-_CONTEXT = isl.Context()
-

 def _polymorphic_method(func):
     @functools.wraps(func)
     def wrapper(a, b):
         if isinstance(b, Expression):
             return func(a, b)
         if isinstance(b, numbers.Rational):
 def _polymorphic_method(func):
     @functools.wraps(func)
     def wrapper(a, b):
         if isinstance(b, Expression):
             return func(a, b)
         if isinstance(b, numbers.Rational):

-            b = constant(b)
+            b = Constant(b)

             return func(a, b)
         return NotImplemented
     return wrapper
             return func(a, b)
         return NotImplemented
     return wrapper


@@ -37,7 +33,7 @@ def _polymorphic_operator(func):
     @functools.wraps(func)
     def wrapper(a, b):
         if isinstance(a, numbers.Rational):
     @functools.wraps(func)
     def wrapper(a, b):
         if isinstance(a, numbers.Rational):

-            a = constant(a)
+            a = Constant(a)

             return func(a, b)
         elif isinstance(a, Expression):
             return func(a, b)
             return func(a, b)
         elif isinstance(a, Expression):
             return func(a, b)


@@ -45,6 +41,9 @@ def _polymorphic_operator(func):
     return wrapper
 
 
     return wrapper
 
 

+_main_ctx = isl.Context()
+
+

 class Expression:
     """
     This class implements linear expressions.
 class Expression:
     """
     This class implements linear expressions.


@@ -55,38 +54,56 @@ class Expression:
             if constant:
                 raise TypeError('too many arguments')
             return cls.fromstring(coefficients)
             if constant:
                 raise TypeError('too many arguments')
             return cls.fromstring(coefficients)

-        self = super().__new__(cls)
-        self._coefficients = {}

         if isinstance(coefficients, dict):
             coefficients = coefficients.items()
         if isinstance(coefficients, dict):
             coefficients = coefficients.items()

-        if coefficients is not None:
-            for symbol, coefficient in coefficients:
-                if isinstance(symbol, Expression) and symbol.issymbol():
-                    symbol = str(symbol)
-                elif not isinstance(symbol, str):
-                    raise TypeError('symbols must be strings')
-                if not isinstance(coefficient, numbers.Rational):
-                    raise TypeError('coefficients must be rational numbers')
-                if coefficient != 0:
-                    self._coefficients[symbol] = coefficient
+        if coefficients is None:
+            return Constant(constant)
+        coefficients = [(symbol, coefficient)
+                for symbol, coefficient in coefficients if coefficient != 0]
+        if len(coefficients) == 0:
+            return Constant(constant)
+        elif len(coefficients) == 1 and constant == 0:
+            symbol, coefficient = coefficients[0]
+            if coefficient == 1:
+                return Symbol(symbol)
+        self = object().__new__(cls)
+        self._coefficients = {}
+        for symbol, coefficient in coefficients:
+            if isinstance(symbol, Symbol):
+                symbol = str(symbol)
+            elif not isinstance(symbol, str):
+                raise TypeError('symbols must be strings or Symbol instances')
+            if isinstance(coefficient, Constant):
+                coefficient = coefficient.constant
+            if not isinstance(coefficient, numbers.Rational):
+                raise TypeError('coefficients must be rational numbers or Constant instances')
+            self._coefficients[symbol] = coefficient
+        if isinstance(constant, Constant):
+            constant = constant.constant

         if not isinstance(constant, numbers.Rational):
         if not isinstance(constant, numbers.Rational):

-            raise TypeError('constant must be a rational number')
+            raise TypeError('constant must be a rational number or a Constant instance')

         self._constant = constant
         self._constant = constant

+        self._symbols = tuple(sorted(self._coefficients))
+        self._dimension = len(self._symbols)

         return self
 
         return self
 

+    @classmethod
+    def fromstring(cls, string):
+        raise NotImplementedError

 
 

+    @property

     def symbols(self):
     def symbols(self):

-        yield from sorted(self._coefficients)
+        return self._symbols

 
     @property
     def dimension(self):
 
     @property
     def dimension(self):

-        return len(list(self.symbols()))
+        return self._dimension

 
     def coefficient(self, symbol):
 
     def coefficient(self, symbol):

-        if isinstance(symbol, Expression) and symbol.issymbol():
+        if isinstance(symbol, Symbol):

             symbol = str(symbol)
         elif not isinstance(symbol, str):
             symbol = str(symbol)
         elif not isinstance(symbol, str):

-            raise TypeError('symbol must be a string')
+            raise TypeError('symbol must be a string or a Symbol instance')

         try:
             return self._coefficients[symbol]
         except KeyError:
         try:
             return self._coefficients[symbol]
         except KeyError:


@@ -95,7 +112,7 @@ class Expression:
     __getitem__ = coefficient
 
     def coefficients(self):
     __getitem__ = coefficient
 
     def coefficients(self):

-        for symbol in self.symbols():
+        for symbol in self.symbols:

             yield symbol, self.coefficient(symbol)
 
     @property
             yield symbol, self.coefficient(symbol)
 
     @property


@@ -103,30 +120,22 @@ class Expression:
         return self._constant
 
     def isconstant(self):
         return self._constant
 
     def isconstant(self):

-        return len(self._coefficients) == 0
+        return False

 
     def values(self):
 
     def values(self):

-        for symbol in self.symbols():
+        for symbol in self.symbols:

             yield self.coefficient(symbol)
         yield self.constant
 
             yield self.coefficient(symbol)
         yield self.constant
 

-    def values_int(self):
-        for symbol in self.symbols():
-            return self.coefficient(symbol)
-        return int(self.constant)
-
-
+    @property

     def symbol(self):
     def symbol(self):

-        if not self.issymbol():
-            raise ValueError('not a symbol: {}'.format(self))
-        for symbol in self.symbols():
-            return symbol
+        raise ValueError('not a symbol: {}'.format(self))

 
     def issymbol(self):
 
     def issymbol(self):

-        return len(self._coefficients) == 1 and self._constant == 0
+        return False

 
     def __bool__(self):
 
     def __bool__(self):

-        return (not self.isconstant()) or bool(self.constant)
+        return True

 
     def __pos__(self):
         return self
 
     def __pos__(self):
         return self


@@ -202,10 +211,9 @@ class Expression:
 
     def __str__(self):
         string = ''
 
     def __str__(self):
         string = ''

-        symbols = sorted(self.symbols())

         i = 0
         i = 0

-        for symbol in symbols:
-            coefficient = self[symbol]
+        for symbol in self.symbols:
+            coefficient = self.coefficient(symbol)

             if coefficient == 1:
                 if i == 0:
                     string += symbol
             if coefficient == 1:
                 if i == 0:
                     string += symbol


@@ -254,10 +262,6 @@ class Expression:
         string += '}}, {!r})'.format(self.constant)
         return string
 
         string += '}}, {!r})'.format(self.constant)
         return string
 

-    @classmethod
-    def fromstring(cls, string):
-        raise NotImplementedError
-

     @_polymorphic_method
     def __eq__(self, other):
         # "normal" equality
     @_polymorphic_method
     def __eq__(self, other):
         # "normal" equality


@@ -267,49 +271,91 @@ class Expression:
                 self.constant == other.constant
 
     def __hash__(self):
                 self.constant == other.constant
 
     def __hash__(self):

-        return hash((self._coefficients, self._constant))
+        return hash((tuple(sorted(self._coefficients.items())), self._constant))

 
 

-    def _canonify(self):
+    def _toint(self):

         lcm = functools.reduce(lambda a, b: a*b // gcd(a, b),
                 [value.denominator for value in self.values()])
         return self * lcm
 
     @_polymorphic_method
     def _eq(self, other):
         lcm = functools.reduce(lambda a, b: a*b // gcd(a, b),
                 [value.denominator for value in self.values()])
         return self * lcm
 
     @_polymorphic_method
     def _eq(self, other):

-        return Polyhedron(equalities=[(self - other)._canonify()])
+        return Polyhedron(equalities=[(self - other)._toint()])

 
     @_polymorphic_method
     def __le__(self, other):
 
     @_polymorphic_method
     def __le__(self, other):

-        return Polyhedron(inequalities=[(self - other)._canonify()])
+        return Polyhedron(inequalities=[(other - self)._toint()])

 
     @_polymorphic_method
     def __lt__(self, other):
 
     @_polymorphic_method
     def __lt__(self, other):

-        return Polyhedron(inequalities=[(self - other)._canonify() + 1])
+        return Polyhedron(inequalities=[(other - self)._toint() - 1])

 
     @_polymorphic_method
     def __ge__(self, other):
 
     @_polymorphic_method
     def __ge__(self, other):

-        return Polyhedron(inequalities=[(other - self)._canonify()])
+        return Polyhedron(inequalities=[(self - other)._toint()])

 
     @_polymorphic_method
     def __gt__(self, other):
 
     @_polymorphic_method
     def __gt__(self, other):

-        return Polyhedron(inequalities=[(other - self)._canonify() + 1])
+        return Polyhedron(inequalities=[(self - other)._toint() - 1])
+
+
+class Constant(Expression):
+
+    def __new__(cls, numerator=0, denominator=None):
+        self = object().__new__(cls)
+        if denominator is None:
+            if isinstance(numerator, numbers.Rational):
+                self._constant = numerator
+            elif isinstance(numerator, Constant):
+                self._constant = numerator.constant
+            else:
+                raise TypeError('constant must be a rational number or a Constant instance')
+        else:
+            self._constant = Fraction(numerator, denominator)
+        self._coefficients = {}
+        self._symbols = ()
+        self._dimension = 0
+        return self

 
 

+    def isconstant(self):
+        return True

 
 

-def constant(numerator=0, denominator=None):
-    if denominator is None and isinstance(numerator, numbers.Rational):
-        return Expression(constant=3)
-    else:
-        return Expression(constant=Fraction(numerator, denominator))
+    def __bool__(self):
+        return bool(self.constant)

 
 

-def symbol(name):
-    if not isinstance(name, str):
-        raise TypeError('name must be a string')
-    return Expression(coefficients={name: 1})
+    def __repr__(self):
+        return '{}({!r})'.format(self.__class__.__name__, self._constant)
+
+
+class Symbol(Expression):
+
+    def __new__(cls, name):
+        if isinstance(name, Symbol):
+            name = name.symbol
+        elif not isinstance(name, str):
+            raise TypeError('name must be a string or a Symbol instance')
+        self = object().__new__(cls)
+        self._coefficients = {name: 1}
+        self._constant = 0
+        self._symbols = tuple(name)
+        self._symbol = name
+        self._dimension = 1
+        return self
+
+    @property
+    def symbol(self):
+        return self._symbol
+
+    def issymbol(self):
+        return True
+
+    def __repr__(self):
+        return '{}({!r})'.format(self.__class__.__name__, self._symbol)

 
 def symbols(names):
     if isinstance(names, str):
         names = names.replace(',', ' ').split()
 
 def symbols(names):
     if isinstance(names, str):
         names = names.replace(',', ' ').split()

-    return (symbol(name) for name in names)
+    return (Symbol(name) for name in names)

 
 
 @_polymorphic_operator
 
 
 @_polymorphic_operator


@@ -352,6 +398,7 @@ class Polyhedron:
                         raise TypeError('non-integer constraint: '
                                 '{} == 0'.format(constraint))
                 self._equalities.append(constraint)
                         raise TypeError('non-integer constraint: '
                                 '{} == 0'.format(constraint))
                 self._equalities.append(constraint)

+        self._equalities = tuple(self._equalities)

         self._inequalities = []
         if inequalities is not None:
             for constraint in inequalities:
         self._inequalities = []
         if inequalities is not None:
             for constraint in inequalities:


@@ -359,58 +406,41 @@ class Polyhedron:
                     if value.denominator != 1:
                         raise TypeError('non-integer constraint: '
                                 '{} <= 0'.format(constraint))
                     if value.denominator != 1:
                         raise TypeError('non-integer constraint: '
                                 '{} <= 0'.format(constraint))

-                self._inequalities.append(constraint)      
-        self._bset = self.to_isl()
-        return self._bset 
-   
-  
+                self._inequalities.append(constraint)
+        self._inequalities = tuple(self._inequalities)
+        self._constraints = self._equalities + self._inequalities
+        self._symbols = set()
+        for constraint in self._constraints:
+            self.symbols.update(constraint.symbols)
+        self._symbols = tuple(sorted(self._symbols))
+        return self
+
+    @classmethod
+    def fromstring(cls, string):
+        raise NotImplementedError
+

     @property
     def equalities(self):
     @property
     def equalities(self):

-        yield from self._equalities
+        return self._equalities

 
     @property
     def inequalities(self):
 
     @property
     def inequalities(self):

-        yield from self._inequalities
-        
-    @property
-    def constant(self):
-        return self._constant
-
-    def isconstant(self):
-        return len(self._coefficients) == 0
-    
-        
-    def isempty(self):
-        return bool(libisl.isl_basic_set_is_empty(self._bset))
+        return self._inequalities

 
 

+    @property

     def constraints(self):
     def constraints(self):

-        yield from self.equalities
-        yield from self.inequalities
-
+        return self._constraints

 
 

+    @property

     def symbols(self):
     def symbols(self):

-        s = set()
-        for constraint in self.constraints():
-            s.update(constraint.symbols)
-            yield from sorted(s)
-            
-    def symbol_count(self):
-        s = []
-        for constraint in self.constraints():
-            s.append(constraint.symbols)
-        return s     
-        
+        return self._symbols
+

     @property
     def dimension(self):
     @property
     def dimension(self):

-        return len(self.symbols())
+        return len(self.symbols)

 
     def __bool__(self):
 
     def __bool__(self):

-        # return false if the polyhedron is empty, true otherwise
-        if self._equalities or self._inequalities:
-            return False
-        else:
-            return True
-        
+        return not self.is_empty()

 
     def __contains__(self, value):
         # is the value in the polyhedron?
 
     def __contains__(self, value):
         # is the value in the polyhedron?


@@ -419,11 +449,12 @@ class Polyhedron:
     def __eq__(self, other):
         raise NotImplementedError
 
     def __eq__(self, other):
         raise NotImplementedError
 

-    def is_empty(self):
-        return
+    def isempty(self):
+        bset = self._toisl()
+        return bool(libisl.isl_basic_set_is_empty(bset))

 
     def isuniverse(self):
 
     def isuniverse(self):

-        return self == universe
+        raise NotImplementedError

 
     def isdisjoint(self, other):
         # return true if the polyhedron has no elements in common with other
 
     def isdisjoint(self, other):
         # return true if the polyhedron has no elements in common with other


@@ -440,11 +471,6 @@ class Polyhedron:
 
     def issuperset(self, other):
         # test whether every element in other is in the polyhedron
 
     def issuperset(self, other):
         # test whether every element in other is in the polyhedron

-        for value in other:
-            if value == self.constraints():
-                return True 
-            else:
-                return False     

         raise NotImplementedError
 
     def __ge__(self, other):
         raise NotImplementedError
 
     def __ge__(self, other):


@@ -489,7 +515,7 @@ class Polyhedron:
         for constraint in self.equalities:
             constraints.append('{} == 0'.format(constraint))
         for constraint in self.inequalities:
         for constraint in self.equalities:
             constraints.append('{} == 0'.format(constraint))
         for constraint in self.inequalities:

-            constraints.append('{} <= 0'.format(constraint))
+            constraints.append('{} >= 0'.format(constraint))

         return '{{{}}}'.format(', '.join(constraints))
 
     def __repr__(self):
         return '{{{}}}'.format(', '.join(constraints))
 
     def __repr__(self):


@@ -498,47 +524,75 @@ class Polyhedron:
         return '{}(equalities={!r}, inequalities={!r})' \
                 ''.format(self.__class__.__name__, equalities, inequalities)
 
         return '{}(equalities={!r}, inequalities={!r})' \
                 ''.format(self.__class__.__name__, equalities, inequalities)
 

-    @classmethod
-    def fromstring(cls, string):
-        raise NotImplementedError
-    
-    def to_isl(self):
-        space = libisl.isl_space_set_alloc(_CONTEXT, 0, len(self.symbol_count()))
-        bset = libisl.isl_basic_set_empty(libisl.isl_space_copy(space))
-        ls = libisl.isl_local_space_from_space(libisl.isl_space_copy(space))
+    def _symbolunion(self, *others):
+        symbols = set(self.symbols)
+        for other in others:
+            symbols.update(other.symbols)
+        return sorted(symbols)
+
+    def _toisl(self, symbols=None):
+        if symbols is None:
+            symbols = self.symbols
+        num_coefficients = len(symbols)
+        space = libisl.isl_space_set_alloc(_main_ctx, 0, num_coefficients)
+        bset = libisl.isl_basic_set_universe(libisl.isl_space_copy(space))
+        ls = libisl.isl_local_space_from_space(space)

         ceq = libisl.isl_equality_alloc(libisl.isl_local_space_copy(ls))
         cin = libisl.isl_inequality_alloc(libisl.isl_local_space_copy(ls))
         ceq = libisl.isl_equality_alloc(libisl.isl_local_space_copy(ls))
         cin = libisl.isl_inequality_alloc(libisl.isl_local_space_copy(ls))

-        d = Expression().__dict__  #write expression values to dictionary in form {'_constant': value, '_coefficients': value}      
-        '''
-        if there are equalities/inequalities, take each constant and coefficient and add as a constraint to the basic set
-        need to change the symbols method to a lookup table for the integer value for each letter that could be a symbol
-        '''
-        if self._equalities:
-            if '_constant' in d:
-                value = d.get('_constant')
-                ceq = libisl.isl_constraint_set_constant_si(ceq, value)
-            if '_coefficients' in d: 
-                value_co = d.get('_coefficients')
-                if value_co:   #if dictionary not empty add coefficient as to constraint    
-                    ceq = libisl.isl_constraint_set_coefficient_si(ceq, libisl.isl_set_dim, self.symbols(), value_co)  
-            bset = libisl.isl_set_add_constraint(bset, ceq) 
-                       
-        if self._inequalities:     
-            if '_constant' in d:
-                value = d.get('_constant')
-                cin = libisl.isl_constraint_set_constant_si(cin, value)   
-            if '_coefficients' in d: 
-                value_co = d.get('_coefficients')   
-                if value_co: #if dictionary not empty add coefficient as to constraint
-                    cin = libisl.isl_constraint_set_coefficient_si(cin, libisl.isl_set_dim, self.symbols(), value_co)
-            bset = libisl.isl_set_add_constraint(bset, cin) 
-        ip = libisl.isl_printer_to_str(_CONTEXT) #create string printer
-        ip = libisl.isl_printer_print_set(ip, bset) #print set to printer 
-        string = libisl.isl_printer_get_str(ip)   #get string from printer
-        print(string)
+        '''if there are equalities/inequalities, take each constant and coefficient and add as a constraint to the basic set'''
+        if list(self.equalities): #check if any equalities exist
+            for eq in self.equalities:
+                coeff_eq = dict(eq.coefficients())
+                if eq.constant:
+                    value = eq.constant
+                    ceq = libisl.isl_constraint_set_constant_si(ceq, value)
+                for eq in coeff_eq:
+                    num = coeff_eq.get(eq)
+                    iden = symbols.index(eq)
+                    ceq = libisl.isl_constraint_set_coefficient_si(ceq, libisl.isl_dim_set, iden, num)  #use 3 for type isl_dim_set
+            bset = libisl.isl_basic_set_add_constraint(bset, ceq)
+        if list(self.inequalities): #check if any inequalities exist
+            for ineq in self.inequalities:
+                coeff_in = dict(ineq.coefficients())
+                if ineq.constant:
+                    value = ineq.constant
+                    cin = libisl.isl_constraint_set_constant_si(cin, value)
+                for ineq in coeff_in:
+                    num = coeff_in.get(ineq)
+                    iden = symbols.index(ineq)
+                    cin = libisl.isl_constraint_set_coefficient_si(cin, libisl.isl_dim_set, iden, num)  #use 3 for type isl_dim_set
+            bset = libisl.isl_basic_set_add_constraint(bset, cin)
+        bset = isl.BasicSet(bset)

         return bset
 
         return bset
 

-empty = eq(1, 1)
-
-
-universe = Polyhedron()
+    @classmethod
+    def _fromisl(cls, bset):
+        raise NotImplementedError
+        equalities = ...
+        inequalities = ...
+        return cls(equalities, inequalities)
+        '''takes basic set  in isl form and puts back into python version of polyhedron
+        isl example code gives isl form as:
+            "{[i] : exists (a : i = 2a and i >= 10 and i <= 42)}")
+            our printer is giving form as:
+            b'{ [i0] : 1 = 0 }' '''
+        #bset = self
+        # if self._equalities:
+        #     constraints = libisl.isl_basic_set_equalities_matrix(bset, 3)
+        # elif self._inequalities:
+        #     constraints = libisl.isl_basic_set_inequalities_matrix(bset, 3)
+        # print(constraints)
+        # return constraints
+
+empty = None #eq(0,1)
+universe = None #Polyhedron()
+
+
+if __name__ == '__main__':
+    ex1 = Expression(coefficients={'a': 1, 'x': 2}, constant=2)
+    ex2 = Expression(coefficients={'a': 3  , 'b': 2}, constant=3)
+    p = Polyhedron(inequalities=[ex1, ex2])
+    bs = p._toisl()
+    print(bs)
+    print('empty ?', p.isempty())
+    print('empty ?', eq(0, 1).isempty())