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import copy
from visma.functions.structure import Function, Expression
from visma.functions.exponential import Logarithm
from visma.functions.operator import Plus, Minus, Multiply, Divide, Binary
############
# Variable #
############
class Variable(Function):
"""Class for variable function type
Examples:
x
2x^2
3xyz^3
Extends:
Function
"""
def __init__(self, coeff=None, value=None, power=None):
super().__init__()
# Report
self.coefficient = 1
if coeff is not None:
self.coefficient = coeff
self.value = []
if value is not None:
self.value.append(value)
self.power = []
if power is not None:
self.power.append(power)
def inverse(self, rToken, wrtVar):
l2rVar = Variable()
for i, var in enumerate(self.value):
if var != wrtVar:
l2rVar.value.append(self.value.pop(i))
l2rVar.power.append(self.power.pop(i))
if l2rVar.value != []:
rToken = Expression([rToken, Divide(), l2rVar])
rToken.coefficient /= (self.coefficient)**(1/self.power[0])
rToken.power /= self.power[0]
self.coefficient = 1
self.power[0] = 1
comment = "Therefore, " + r"$" + wrtVar + r"$" + " can be written as:"
return self, rToken, comment
def differentiate(self, wrtVar):
from visma.functions.constant import Constant, Zero
result = copy.deepcopy(self)
if wrtVar in result.functionOf():
for i, var in enumerate(result.value):
if var == wrtVar:
result.coefficient *= result.power[i]
result.power[i] -= 1
if(result.power[i] == 0):
del result.power[i]
del result.value[i]
if result.value == []:
result.__class__ = Constant
result.value = result.coefficient
result.coefficient = 1
result.power = 1
else:
result = Zero()
return result
def integrate(self, wrtVar=None):
from visma.functions.constant import Constant
result = copy.deepcopy(self)
log = False
for i, var in enumerate(result.value):
if var == wrtVar:
if(result.power[i] == -1):
log = True
funcLog = Logarithm()
funcLog.operand = Variable()
funcLog.operand.coefficient = 1
funcLog.operand.value.append(result.value[i])
funcLog.operand.power.append(1)
del result.power[i]
del result.value[i]
if result.value == []:
result.__class__ = Constant
result.value = result.coefficient
result.coefficient = 1
result.power = 1
result = [result]
funcJoin = Binary()
funcJoin.value = '*'
result.append(funcJoin)
result.append(funcLog)
else:
result.power[i] += 1
result.coefficient /= result.power[i]
print(result)
return result, log
def calculate(self, val):
return self.coefficient * ((val**(self.power)))
def __radd__(self, other):
return self + other
def __add__(self, other):
from visma.functions.constant import Constant
if isinstance(other, Variable):
sortedValuesSelf = sorted(self.value)
sortedValuesOther = sorted(other.value)
if self.coefficient == 0:
return Constant(0, 1, 1)
if (self.power == other.power) & (sortedValuesSelf == sortedValuesOther):
if self.before == '-':
self.coefficient -= other.coefficient
else:
self.coefficient += other.coefficient
return self
elif isinstance(other, Constant):
expression = Expression()
expression.tokens = [self]
expression.tokens.extend([Plus(), other])
self = expression
return expression
elif isinstance(other, Expression):
expression = Expression()
expression.tokens = [self]
for i, token in enumerate(other.tokens):
if isinstance(token, Variable):
tokenValueSorted = sorted(token.value)
selfValueSorted = sorted(self.value)
if (token.power == self.power) & (tokenValueSorted == selfValueSorted):
if other.tokens[i - 1].value == '+' or (i == 0):
self.coefficient += other.tokens[i].coefficient
elif other.tokens[i - 1].value == '-':
self.coefficient -= other.tokens[i].coefficient
else:
if other.tokens[i-1].value == '+' or i == 0:
expression.tokens.extend([Plus(), Variable(token)])
elif other.tokens[i-1].value == '-':
expression.tokens.extend([Minus(), Variable(token)])
elif not isinstance(token, Binary):
if other.tokens[i - 1].value == '+' or (i == 0):
expression.tokens.extend([Plus(), token])
elif other.tokens[i - 1].value == '-':
expression.tokens.extend([Minus(), token])
expression.tokens[0] = self
self = expression
return expression
def __rsub__(self, other):
from visma.functions.constant import Constant
return Constant(0, 1, 1) - self + other
def __sub__(self, other):
from visma.functions.constant import Constant
if isinstance(other, Variable):
otherValueSorted = sorted(other.value)
selfValueSorted = sorted(self.value)
if (other.power == self.power) & (selfValueSorted == otherValueSorted):
self = self + Constant(-1, 1, 1) * other
return self
else:
expression = Expression()
expression.tokens = [self]
expression.tokens.extend([Minus(), other])
self = expression
return expression
elif isinstance(other, Constant):
if other.isZero():
return self
expression = Expression()
expression.tokens = [self]
expression.tokens.extend([Minus(), other])
self = expression
return expression
elif isinstance(other, Expression):
expression = Expression()
expression.tokens = [self]
for i, token in enumerate(other.tokens):
if isinstance(token, Variable):
tokenValueSorted = sorted(token.value)
selfValueSorted = sorted(self.value)
if (token.power == self.power) & (tokenValueSorted == selfValueSorted):
if other.tokens[i - 1].value == '+' or (i == 0):
self.coefficient -= other.tokens[i].coefficient
elif other.tokens[i - 1].value == '-':
self.coefficient += other.tokens[i].coefficient
else:
if other.tokens[i-1].value == '+' or i == 0:
expression.tokens.extend([Plus(), Variable(token)])
elif other.tokens[i-1].value == '-':
expression.tokens.extend([Minus(), Variable(token)])
elif not isinstance(token, Binary):
if other.tokens[i - 1].value == '+' or (i == 0):
expression.tokens.extend([Minus(), token])
elif other.tokens[i - 1].value == '-':
expression.tokens.extend([Plus(), token])
expression.tokens[0] = self
self = expression
return expression
def __rmul__(self, other):
return self * other
def __mul__(self, other):
from visma.io.checks import isNumber
from visma.functions.constant import Constant
if isinstance(other, Variable):
for j, var in enumerate(other.value):
found = False
for k, var2 in enumerate(self.value):
self.coefficient *= other.coefficient
if var == var2:
if isNumber(other.power[j]) and isNumber(self.power[k]):
self.power[k] += other.power[j]
if self.power[k] == 0:
del self.power[k]
del self.value[k]
found = True
break
if not found:
self.value.append(other.value[j])
self.power.append(other.power[j])
if len(self.value) == 0:
result = Constant(self.coefficient)
result.scope = self.scope
result.power = 1
result.value = self.coefficient
self = result
return self
elif isinstance(other, Constant):
self.coefficient *= other.calculate()
return self
elif isinstance(other, Expression):
result = Expression()
for _, token in enumerate(other.tokens):
if isinstance(token, Variable) or isinstance(token, Constant):
c = copy.deepcopy(self)
result.tokens.extend([c * token])
else:
result.tokens.extend([token])
return result
def __pow__(self, other):
from visma.functions.constant import Constant
if isinstance(other, Constant):
if other.value == -1:
one = Constant(1, 1, 1)
result = Variable()
result.value = self.value
result.coefficient = one.calculate() / self.coefficient
result.power = []
for pows in self.power:
result.power.append(-pows)
return result
def __rtruediv__(self, other):
pass # TODO : Add code for expression / variable
def __truediv__(self, other):
from visma.functions.constant import Constant
if isinstance(other, Variable) or isinstance(other, Constant):
self = self * (other ** Constant(-1, 1, 1))
return self
elif isinstance(other, Expression):
expression = Expression()
self.coefficient /= other.coefficient
other.power *= -1
expression.tokens = [self]
expression.tokens.extend([Multiply(), other])
self = expression
return expression
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