def checkFunction_math(self, raw):
"""
Returns whether a string contains a valid mathematical expression
:param raw: string which contains mathematical expression
:return: boolean
"""
try:
f = eq.Expression(raw, ['x', 'A', 'B'])
# TODO: need a better method for checking if functions are valid than a simple point evaluation
# although this works in most cases most of the time it seems.
f(x=0, A=0, B=0)
# Value and Type errors are thrown when the string can't be converted to a function via Equation library
except TypeError:
logging.error(
"Attempted to parse text that is not a function, or with improperly labelled parameters"
)
return False
# TODO: It would be nice to automatically detect any parameters, regardless of if they are labelled A or B, and
# Zero division errors are still functions, i.e. 1/x
except ZeroDivisionError:
logging.warning(
"Function defined which is unbounded at the origin")
return True
else:
return True
def fitnessfunction():
s = input("Enter the equation you want to find minimum for:")
f = Equation.Expression(s, ["x", "y"])
range = []
s = list(map(int, input("Enter range of values [a,b] for x:").split()))
range.append(s)
s = list(map(int, input("Enter range of values [a,b] for y:").split()))
range.append(s)
return [f, range]
def evaluate(self, value):
# f could be defined as a class attribute but would require storing the Expression object in memory.
# by declaring it locally it is thrown away and we only need store the text it is derived from.
# This saves memory overhead at the cost of run-time performance in evaluating functions
try:
f = eq.Expression(self.raw, ["x", "A", "B"])
result = f(x=value, A=self.A, B=self.B)
except ValueError:
logging.error("Failed to evaluate function call")
return None
else:
return result
def ternary(self, compound, limits):
""" generate a search list for the ternary compound """
vars = compound.vars
eqs = [
Equation.Expression(ele.comp, compound.vars)
for ele in compound.elements
]
eles = [ele.name for ele in compound.elements]
composition_format = "{:.2f}".join(eles) + "{:.2f}"
concentrations = np.stack(list(tri_grid(self.n, *limits)), axis=0)
formula = [composition_format.format(*row) for row in concentrations]
fake_df = pd.DataFrame({
"formula": formula,
"x": concentrations[:, 0],
"y": concentrations[:, 1],
"z": concentrations[:, 2]
})
return self.generate(fake_df)
def _calculate(self, x: str):
# re_parser = '([^\(;]*\(.*?\)|[^;]*) ?; ?'
# regex_split = ";(?!(?:[^(]*\([^)]*\))*[^()]*\))"
x = x.strip()
splitexp = "[*+%/^-](?!(?:[^(]*\([^)]*\))*[^()]*\))"
x_exprs = re.split(splitexp, x)
x_ops = re.findall(splitexp, x)
splitops = SpreadSheet._split_ops(x)
x_exprs = splitops[0]
x_ops = splitops[1]
if len(x_exprs) > 1 and not [i in x for i in ["<", "=", ">"]].count(True):
for i, e in enumerate(x_exprs):
x_exprs[i] = str(self._calculate(e))
i = 1
for op in x_ops:
x_exprs.insert(i, op)
i = i + 2
x = "".join(x_exprs)
if x.startswith("ABS("):
x = x[4:-1]
x = SpreadSheet._calculate(self, x)
assert isinstance(x, (int, float))
return math.fabs(x)
elif x.startswith("FLOOR("):
x = x[6:-1]
x = SpreadSheet._calculate(self, x)
assert isinstance(x, (int, float))
return math.floor(x)
elif x.startswith("CEILING("):
x = x[8:-1]
x = SpreadSheet._calculate(self, x)
assert isinstance(x, (int, float))
return math.ceil(x)
elif x.startswith("SIN("):
x = x[4:-1]
x = SpreadSheet._calculate(self, x)
assert isinstance(x, (int, float))
return math.sin(x)
elif x.startswith("COS("):
x = x[4:-1]
x = SpreadSheet._calculate(self, x)
assert isinstance(x, (int, float))
return math.cos(x)
elif x.startswith("TAN("):
x = x[4:-1]
x = SpreadSheet._calculate(self, x)
assert isinstance(x, (int, float))
return math.tan(x)
elif x.startswith("LOG("):
x = x[4:-1]
args_ = SpreadSheet._split_semicolon(x)
assert 1 <= len(args_) <= 2
x = args_[0]
if len(args_) == 2:
y = args_[1]
else:
y = "10"
x, y = SpreadSheet._calculate(self, x),\
SpreadSheet._calculate(self, y)
assert isinstance(x and y, (int, float))
return math.log(x, y)
elif x.startswith("POW("):
x = x[4:-1]
args_ = SpreadSheet._split_semicolon(x)
assert len(args_) == 2
x = args_[0]
y = args_[1]
x, y = SpreadSheet._calculate(self, x),\
SpreadSheet._calculate(self, y)
assert isinstance(x and y, (int, float))
return math.pow(x, y)
elif x.startswith("IF("):
x = x[3:-1]
args_ = SpreadSheet._split_semicolon(x)
assert len(args_) == 3
x = args_[0]
if x.__contains__('(') and not x.startswith('('):
x = SpreadSheet._split_if(x)
x1 = x[0]
x2 = x[2]
x1 = SpreadSheet._calculate(self, x1)
x2 = SpreadSheet._calculate(self, x2)
x = str(x1) + x[1] + str(x2)
y = args_[1]
z = args_[2]
x = SpreadSheet._calculate(self, x)
if x:
state = SpreadSheet._calculate(self, y)
else:
state = SpreadSheet._calculate(self, z)
if state == 1:
state = "TRUE"
elif state == 0:
state = "FALSE"
return state
elif x.startswith("SUM("):
x = x[4:-1]
args_ = SpreadSheet._split_semicolon(x)
sum_ = 0
for arg in args_:
arg = SpreadSheet._calculate(self, arg)
assert isinstance(arg, (int, float, tuple))
if isinstance(arg, tuple):
for i in range(arg[0][0], arg[1][0] + 1):
for j in range(arg[0][1], arg[1][1] + 1):
y = self._getcellat(i, j).getvalue()
assert isinstance(y, (int, float))
sum_ += y
else:
sum_ += arg
return sum_
elif x.startswith("COUNTIF("):
x = x[8:-1]
args_ = SpreadSheet._split_semicolon(x)
assert len(args_) == 2
x = args_[0]
y = args_[1]
x, y = SpreadSheet._calculate(self, x),\
SpreadSheet._calculate(self, y)
assert isinstance(x, tuple) and len(x) == 2
count = 0
for i in range(x[0][0], x[1][0] + 1):
for j in range(x[0][1], x[1][1] + 1):
if self._getcellat(i, j).getvalue() == y:
count += 1
return count
elif x.startswith("AVERAGE("):
x = x[8:-1]
args_ = SpreadSheet._split_semicolon(x)
sum_ = 0
count = 0
for arg in args_:
arg = SpreadSheet._calculate(self, arg)
assert isinstance(arg, (int, float, tuple))
if isinstance(arg, tuple):
for i in range(arg[0][0], arg[1][0] + 1):
for j in range(arg[0][1], arg[1][1] + 1):
y = self._getcellat(i, j).getvalue()
assert isinstance(y, (int, float))
sum_ += y
count += 1
else:
sum_ += arg
count += 1
avg = sum_ / max(count, 1)
# float("%.3f" % avg)
return round(avg, 3)
else:
try:
return float(x)
except ValueError:
pass
if x.startswith(("'", '"')) and x.endswith(("'", '"')):
return x[1:-1]
elif x.__contains__(":"):
return SpreadSheet.parserangeaddr(x)
else:
if x.startswith("(") and x.endswith(")"):
x = x[1:-1]
eqstr = x
eq = re.sub("[A-Z]+[0-9]+",
lambda m: self._convert(m), eqstr)
eq = eq.replace("SIN(", "sin(")
eq = eq.replace("COS(", "cos(")
eq = eq.replace("TAN(", "tan(")
eq = eq.replace("ABS(", "abs(")
return Equation.Expression(eq)()
