# Path: calculus/symbol.py
# class Symbol:
# class StringSymbol(Symbol):
#   def __init__(self, type):
#   def _generate_id(self):
#   def __eq__(self, other):
#   def __ne__(self):
#   def __hash__(self):
#   def __repr__(self):
#   def __init__(self, s, type, infix = None):
#   def __repr__(self):
# 
# Path: ui/render/text/primitives.py
# def newTextStack(color, s):
# def wrapVariableInfix(s):
# def holds():
# def surroundWithNot(s):
# def solidSquare(color, widths):
# def identical(covariant):
# def iff():
# def _dimension_for_variance(covariant):
# def _dual_dimension(dimension):
# def andDivider(covariant):
#   def f(length):
# def orDivider(covariant):
#   def f(length):
# def quantifierDivider(covariant, length):
# def divider(color, dimension, length, width, special_character = None):
# 
# Path: ui/render/text/colors.py
# def productPairsColor(i):
# def exponentialColor(isAlways):
# 
# Path: ui/render/text/distances.py

# 
# Path: ui/stack/stack.py
# def stack(self, dimension, other, spacing = 0):
#   if self._backend.stacks():
#     offset = [0 for i in range(self.dimension())]
#     offset[dimension] = spacing
#     coords = list(self._coords)
#     for i in range(len(coords)):
#       if i == dimension:
#         coords[i] += spacing + other._coords[i]
#       else:
#         coords[i] = max(coords[i], other._coords[i])
#     return Stack(coords, self._backend.stack(dimension, other._backend.shift(offset)))
#   else:
#     offset = [0 for i in range(self.dimension())]
#     offset[dimension] = self.widths()[dimension] + spacing
#     return self.below(other.shift(offset))


from sets import Set
from calculus import symbol
from ui.render.text import primitives, colors, distances
from ui.stack import stack

  def updateVariables(self):
    return self.relatedVariable()

def renderInfix(productVariable, infixSymbols, infixVariable):
  (firstSymbol, secondSymbol) = infixSymbols
  assert(len(productVariable.symbol_variable_pairs) == 2)
  (aSymbol, aVariable) = productVariable.symbol_variable_pairs[0]
  (bSymbol, bVariable) = productVariable.symbol_variable_pairs[1]
  if aSymbol == secondSymbol:
    assert(bSymbol == firstSymbol)
    (firstSymbol, secondSymbol) = (secondSymbol, firstSymbol)
  else:
    assert(aSymbol == firstSymbol)
    assert(bSymbol == secondSymbol)
  return stack.stackAll(0, [ aVariable.render()
                           , infixVariable.render()
                           , bVariable.render()],
                           spacing = distances.infixSpacing)

class ApplySymbolVariable(GeneralizedVariable):
  def __init__(self, variable, symbol):
    self.variable = variable
    self.symbol = symbol
  def __eq__(self, other):
    return (other.__class__ == ApplySymbolVariable
        and self.variable == other.variable
        and self.symbol == other.symbol)
  def applied_variables(self):
    if isinstance(self.symbol, Variable):

# Path: calculus/symbol.py
# class Symbol:
# class StringSymbol(Symbol):
#   def __init__(self, type):
#   def _generate_id(self):
#   def __eq__(self, other):
#   def __ne__(self):
#   def __hash__(self):
#   def __repr__(self):
#   def __init__(self, s, type, infix = None):
#   def __repr__(self):
# 
# Path: ui/render/text/primitives.py
# def newTextStack(color, s):
# def wrapVariableInfix(s):
# def holds():
# def surroundWithNot(s):
# def solidSquare(color, widths):
# def identical(covariant):
# def iff():
# def _dimension_for_variance(covariant):
# def _dual_dimension(dimension):
# def andDivider(covariant):
#   def f(length):
# def orDivider(covariant):
#   def f(length):
# def quantifierDivider(covariant, length):
# def divider(color, dimension, length, width, special_character = None):
# 
# Path: ui/render/text/colors.py
# def productPairsColor(i):
# def exponentialColor(isAlways):
# 
# Path: ui/render/text/distances.py

# 
# Path: ui/stack/stack.py
# def stack(self, dimension, other, spacing = 0):
#   if self._backend.stacks():
#     offset = [0 for i in range(self.dimension())]
#     offset[dimension] = spacing
#     coords = list(self._coords)
#     for i in range(len(coords)):
#       if i == dimension:
#         coords[i] += spacing + other._coords[i]
#       else:
#         coords[i] = max(coords[i], other._coords[i])
#     return Stack(coords, self._backend.stack(dimension, other._backend.shift(offset)))
#   else:
#     offset = [0 for i in range(self.dimension())]
#     offset[dimension] = self.widths()[dimension] + spacing
#     return self.below(other.shift(offset))


# Path: calculus/variable.py
from sets import Set
from calculus import symbol
from ui.render.text import primitives, colors, distances
from ui.stack import stack


  def updateVariables(self):
    return self.relatedVariable()

def renderInfix(productVariable, infixSymbols, infixVariable):
  (firstSymbol, secondSymbol) = infixSymbols
  assert(len(productVariable.symbol_variable_pairs) == 2)
  (aSymbol, aVariable) = productVariable.symbol_variable_pairs[0]
  (bSymbol, bVariable) = productVariable.symbol_variable_pairs[1]
  if aSymbol == secondSymbol:
    assert(bSymbol == firstSymbol)
    (firstSymbol, secondSymbol) = (secondSymbol, firstSymbol)
  else:
    assert(aSymbol == firstSymbol)
    assert(bSymbol == secondSymbol)
  return stack.stackAll(0, [ aVariable.render()
                           , infixVariable.render()
                           , bVariable.render()],
                           spacing = distances.infixSpacing)

class ApplySymbolVariable(GeneralizedVariable):
  def __init__(self, variable, symbol):
    self.variable = variable
    self.symbol = symbol
  def __eq__(self, other):
    return (other.__class__ == ApplySymbolVariable
        and self.variable == other.variable
        and self.symbol == other.symbol)
  def applied_variables(self):
    if isinstance(self.symbol, Variable):

      return Set([self.symbol]).union(self.variable.applied_variables())