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PE.py
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PE.py
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from math import *
from random import random as rand
from random import randint
from random import normalvariate as randn
class PowerdEvalator:
def __init__(self, eq):
self.substituted_variables = set()
self.eq = eq
self.existing_operators = []
self.vdic = {}
self.variables_name_set = set()
self.find_operator()
def find_operator(self):
developing_operators = [
"pi", "e", "inf", "abs",
"exp", "log", "sqrt", "sin", "cos", "tan", "log10", "log2",
"expm1", "log1p", "atan", "asin", "acos", "acosh", "asinh",
"atanh", "cosh", "sinh", "tanh", "erf", "erfc",
"rand", "randint", "randn", "min", "max",
]
primary_operators = ["+", "-", "*", "/", "**", "//", "%"]
parenthesis_operators = ["(", ")", "[", "]"]
existing_operators = [False]*len(self.eq)
for start in range(len(self.eq)):
if self.eq[start] in parenthesis_operators:
existing_operators[start] = True
continue
for stop in range(start+1, len(self.eq)+1):
if self.eq[start:stop] in developing_operators:
for i in range(start, stop):
existing_operators[i] = True
if self.eq[start:stop] in primary_operators:
for i in range(start, stop):
existing_operators[i] = True
self.existing_operators = existing_operators
def find_variables(self):
self.find_operator()
existing_variables = [self.existing_operators[i] == False for i in range(len(self.existing_operators))]
variables_name_set = set()
variable_name = ""
for i, TF in enumerate(existing_variables):
if TF and self.eq[i] != " ":
variable_name += self.eq[i]
else:
if variable_name != "" and not variable_name.isdecimal():
variables_name_set.add(variable_name)
variable_name = ""
self.variables_name_set = variables_name_set
def substitute(self, vdic={}):
if vdic:
self.vdic = vdic
else:
return self.eq
for v in self.vdic:
if (v in self.eq) and (v not in self.substituted_variables):
self.substituted_variables.add(v)
index = 0
self.find_operator()
part_eqs = list(self.eq.split(v))
new_eq = ""
for part_eq in part_eqs:
index += len(part_eq)
if any(self.existing_operators[index:index+len(v)]):
new_eq += part_eq + v
else:
new_eq += part_eq + "(" + str(self.vdic[v]) + ")"
index += len(v)
new_eq = new_eq[:-len(str(self.vdic[v]))-2]
self.eq = new_eq
return self.eq
def can_evaluate(self):
try:
return True
except:
return False
def evaluate(self, partrial_eq=None):
if partrial_eq is None:
partrial_eq = self.eq
elif partrial_eq == "":
return ""
operators = [
"pi", "e", "inf", "abs",
"exp", "log", "sqrt", "sin", "cos", "tan", "log10", "log2",
"expm1", "log1p", "atan", "asin", "acos", "acosh", "asinh",
"atanh", "cosh", "sinh", "tanh", "erf", "erfc",
"rand", "randint", "randn", "min", "max",
]
for opr in operators:
if opr + "[" in partrial_eq:
start, stop = None, None
for i in range(len(partrial_eq) - len(opr + "[")):
if partrial_eq[i:i+len(opr + "[")] == opr + "[":
start = i + len(opr + "[")
break
counter = 1
for j in range(start, len(partrial_eq)):
if partrial_eq[j] == "[":
counter += 1
elif partrial_eq[j] == "]":
counter -= 1
if partrial_eq[j] == "]" and counter == 0:
stop = j
break
if opr == "exp":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(exp(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "log":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(log(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "sqrt":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(sqrt(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "sin":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(sin(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "cos":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(cos(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "log10":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(log10(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "log2":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(log2(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "tan":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(tan(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "abs":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(fabs(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "pi":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(pi) + ")" + partrial_eq[stop+1:]
elif opr == "e":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(e) + ")" + partrial_eq[stop+1:]
elif opr == "inf":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(inf) + ")" + partrial_eq[stop+1:]
elif opr == "expm1":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(expm1(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "log1p":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(log1p(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "atan":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(atan(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "asin":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(asin(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "acos":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(acos(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "acosh":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(acosh(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "asinh":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(asinh(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "atanh":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(atanh(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "cosh":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(cosh(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "sinh":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(sinh(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "tanh":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(tanh(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "erf":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(erf(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "erfc":
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(erfc(self.evaluate(partrial_eq=partrial_eq[start:stop]))) + ")" + partrial_eq[stop+1:]
elif opr == "rand":
partrial_eq = partrial_eq[:start-len(opr + "[")] + str(rand()) + partrial_eq[stop+1:]
elif opr == "randint":
partrial_eq = partrial_eq[:start-len(opr + "[")] + str(randint(0, int(self.evaluate(partrial_eq=partrial_eq[start:stop])))) + partrial_eq[stop+1:]
elif opr == "randn":
partrial_eq = partrial_eq[:start-len(opr + "[")] + str(randn(mu=0, sigma=1)) + partrial_eq[stop+1:]
elif opr == "min":
a, b = partrial_eq[start:stop].split(",")
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(min(self.evaluate(a), self.evaluate(b))) + ")" + partrial_eq[stop+1:]
elif opr == "max":
a, b = partrial_eq[start:stop].split(",")
partrial_eq = partrial_eq[:start-len(opr + "[")] + "(" + str(max(self.evaluate(a), self.evaluate(b))) + ")" + partrial_eq[stop+1:]
return eval(partrial_eq)
def direct_substitute(self, **args):
if args is not None:
self.vdic = args
for v in self.vdic:
if (v in self.eq) and (v not in self.substituted_variables):
self.substituted_variables.add(v)
index = 0
self.find_operator()
part_eqs = list(self.eq.split(v))
new_eq = ""
for part_eq in part_eqs:
index += len(part_eq)
if any(self.existing_operators[index:index+len(v)]):
new_eq += part_eq + v
else:
new_eq += part_eq + str(self.vdic[v])
index += len(v)
new_eq = new_eq[:-len(str(self.vdic[v]))]
self.eq = new_eq
return self.eq
def interactive_substitute(self):
self.find_variables()
for variable_name in self.variables_name_set - self.substituted_variables:
value = float(input("input value of "+variable_name+" : "))
self.vdic[variable_name] = value
self.substitute(vdic=self.vdic)
if "__name__" == __name__:
eq = input("input equation : ")
evaluator = PowerdEvalator(eq)
evaluator.interactive_substitute()
print("substituted equation :",evaluator.eq)
print(evaluator.evaluate())
"""実行サンプル
vdic = {
"a":10,
"b":2,
"x":100,
"y":10,
}
eq = "a*log[x]+b*exp[y]"
eq2 = "sin[a*x]**2 + cos[a*x]**2"
eq3 = "1 + 2 * 3 / 4 - 5"
evaluator = PowerdEvalator(eq3)
print(evaluator.eq)
evaluator.substitute(vdic)
print(evaluator.evaluate())
"""