def division(tokens, direct=False):
"""Function deals with division related operations (driver function in division module)
Arguments:
tokens {list} -- list of tokens
direct {bool} -- True when we are only concerned about multiplications terms in the input
Returns:
availableOperations {list} -- list of operations which can be performed on a equation token
token_string {string} -- final result stored in a string
animation {list} -- list of equation solving process
comments {list} -- list of comments in equation solving process
"""
animation = [copy.deepcopy(tokens)]
comments = []
if direct:
comments = [[]]
variables = []
variables.extend(getLevelVariables(tokens))
availableOperations = getOperationsExpression(variables, tokens)
while '/' in availableOperations:
_, tok, rem, com = expressionDivision(variables, tokens)
tokens = removeToken(tok, rem)
comments.append(com)
animation.append(copy.deepcopy(tokens))
variables = getLevelVariables(tokens)
availableOperations = getOperationsExpression(variables, tokens)
token_string = tokensToString(tokens)
return tokens, availableOperations, token_string, animation, comments
def division(tokens, direct=False):
animation = [copy.deepcopy(tokens)]
comments = []
if direct:
comments = [[]]
variables = []
variables.extend(getLevelVariables(tokens))
availableOperations = getOperationsExpression(variables, tokens)
while '/' in availableOperations:
_, tok, rem, com = expressionDivision(variables, tokens)
tokens = removeToken(tok, rem)
comments.append(com)
animation.append(copy.deepcopy(tokens))
variables = getLevelVariables(tokens)
availableOperations = getOperationsExpression(variables, tokens)
token_string = tokensToString(tokens)
return tokens, availableOperations, token_string, animation, comments
def multiplication(tokens, direct=False):
# FIXME: Fix multiplication for variables (Ex: x^-1 * x^2)
animation = [copy.deepcopy(tokens)]
comments = []
if direct:
comments = [[]]
variables = []
variables.extend(getLevelVariables(tokens))
availableOperations = getOperationsExpression(variables, tokens)
while '*' in availableOperations:
_, tok, rem, com = expressionMultiplication(variables, tokens)
tokens = removeToken(tok, rem)
comments.append(com)
animation.append(copy.deepcopy(tokens))
variables = getLevelVariables(tokens)
availableOperations = getOperationsExpression(variables, tokens)
token_string = tokensToString(tokens)
return tokens, availableOperations, token_string, animation, comments
def divisionEquation(lToks, rToks, direct=False):
lTokens = copy.deepcopy(lToks)
rTokens = copy.deepcopy(rToks)
animation = []
comments = []
if direct:
comments = [[]]
animBuilder = lToks
lenToks = len(lToks)
equalTo = Binary()
equalTo.scope = [lenToks]
equalTo.value = '='
animBuilder.append(equalTo)
if len(rToks) == 0:
zero = Zero()
zero.scope = [lenToks + 1]
animBuilder.append(zero)
else:
animBuilder.extend(rToks)
animation.append(copy.deepcopy(animBuilder))
lVariables = []
lVariables.extend(getLevelVariables(lTokens))
rVariables = []
rVariables.extend(getLevelVariables(rTokens))
availableOperations = getOperationsExpression(lVariables, lTokens)
while '/' in availableOperations:
_, tok, rem, com = expressionDivision(lVariables, lTokens)
lTokens = removeToken(tok, rem)
comments.append(com)
animBuilder = copy.deepcopy(lTokens)
lenToks = len(lTokens)
equalTo = Binary()
equalTo.scope = [lenToks]
equalTo.value = '='
animBuilder.append(equalTo)
if len(rTokens) == 0:
zero = Zero()
zero.scope = [lenToks + 1]
animBuilder.append(zero)
else:
animBuilder.extend(rTokens)
animation.append(copy.deepcopy(animBuilder))
lVariables = getLevelVariables(lTokens)
availableOperations = getOperationsExpression(lVariables, lTokens)
availableOperations = getOperationsExpression(rVariables, rTokens)
while '/' in availableOperations:
_, tok, rem, com = expressionDivision(rVariables, rTokens)
rTokens = removeToken(tok, rem)
comments.append(com)
animBuilder = copy.deepcopy(lTokens)
lenToks = len(lTokens)
equalTo = Binary()
equalTo.scope = [lenToks]
equalTo.value = '='
animBuilder.append(equalTo)
if len(rTokens) == 0:
zero = Zero()
zero.scope = [lenToks + 1]
animBuilder.append(zero)
else:
animBuilder.extend(rTokens)
animation.append(copy.deepcopy(animBuilder))
rVariables = getLevelVariables(rTokens)
availableOperations = getOperationsExpression(rVariables, rTokens)
tokenToStringBuilder = copy.deepcopy(lTokens)
lenToks = len(lTokens)
equalTo = Binary()
equalTo.scope = [lenToks]
equalTo.value = '='
tokenToStringBuilder.append(equalTo)
if len(rTokens) == 0:
zero = Zero()
zero.scope = [lenToks + 1]
tokenToStringBuilder.append(zero)
else:
tokenToStringBuilder.extend(rTokens)
token_string = tokensToString(tokenToStringBuilder)
lVariables = getLevelVariables(lTokens)
rVariables = getLevelVariables(rTokens)
availableOperations = getOperationsEquation(
lVariables, lTokens, rVariables, rTokens)
return lTokens, rTokens, availableOperations, token_string, animation, comments
def divisionEquation(lToks, rToks, direct=False):
"""Function deals with division related operations FOR EQUATIONS (driver function in division module)
Arguments:
rtoks {list} -- list of right tokens
ltoks {list} -- list of left tokens
direct {bool} -- True when we are only concerned about multiplications terms in the input
Returns:
availableOperations {list} -- list of operations which can be performed on a equation token
token_string {string} -- final result stored in a string
animation {list} -- list of equation solving process
comments {list} -- list of comments in equation solving process
"""
lTokens = copy.deepcopy(lToks)
rTokens = copy.deepcopy(rToks)
animation = []
comments = []
if direct:
comments = [[]]
animBuilder = lToks
lenToks = len(lToks)
equalTo = Binary()
equalTo.scope = [lenToks]
equalTo.value = '='
animBuilder.append(equalTo)
if len(rToks) == 0:
zero = Zero()
zero.scope = [lenToks + 1]
animBuilder.append(zero)
else:
animBuilder.extend(rToks)
animation.append(copy.deepcopy(animBuilder))
lVariables = []
lVariables.extend(getLevelVariables(lTokens))
rVariables = []
rVariables.extend(getLevelVariables(rTokens))
availableOperations = getOperationsExpression(lVariables, lTokens)
while '/' in availableOperations:
_, tok, rem, com = expressionDivision(lVariables, lTokens)
lTokens = removeToken(tok, rem)
comments.append(com)
animBuilder = copy.deepcopy(lTokens)
lenToks = len(lTokens)
equalTo = Binary()
equalTo.scope = [lenToks]
equalTo.value = '='
animBuilder.append(equalTo)
if len(rTokens) == 0:
zero = Zero()
zero.scope = [lenToks + 1]
animBuilder.append(zero)
else:
animBuilder.extend(rTokens)
animation.append(copy.deepcopy(animBuilder))
lVariables = getLevelVariables(lTokens)
availableOperations = getOperationsExpression(lVariables, lTokens)
availableOperations = getOperationsExpression(rVariables, rTokens)
while '/' in availableOperations:
_, tok, rem, com = expressionDivision(rVariables, rTokens)
rTokens = removeToken(tok, rem)
comments.append(com)
animBuilder = copy.deepcopy(lTokens)
lenToks = len(lTokens)
equalTo = Binary()
equalTo.scope = [lenToks]
equalTo.value = '='
animBuilder.append(equalTo)
if len(rTokens) == 0:
zero = Zero()
zero.scope = [lenToks + 1]
animBuilder.append(zero)
else:
animBuilder.extend(rTokens)
animation.append(copy.deepcopy(animBuilder))
rVariables = getLevelVariables(rTokens)
availableOperations = getOperationsExpression(rVariables, rTokens)
tokenToStringBuilder = copy.deepcopy(lTokens)
lenToks = len(lTokens)
equalTo = Binary()
equalTo.scope = [lenToks]
equalTo.value = '='
tokenToStringBuilder.append(equalTo)
if len(rTokens) == 0:
zero = Zero()
zero.scope = [lenToks + 1]
tokenToStringBuilder.append(zero)
else:
tokenToStringBuilder.extend(rTokens)
token_string = tokensToString(tokenToStringBuilder)
lVariables = getLevelVariables(lTokens)
rVariables = getLevelVariables(rTokens)
availableOperations = getOperationsEquation(lVariables, lTokens,
rVariables, rTokens)
return lTokens, rTokens, availableOperations, token_string, animation, comments
