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basic operations

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Didictateur 2026-02-15 00:11:17 +01:00
parent 5d891505eb
commit 073de786f5
2 changed files with 330 additions and 4 deletions
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0
main.py → example.py
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334
legrandchien.py
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@ -8,7 +8,11 @@ class Operation(Enum):
SUB = 4
MULT = 5
DIV = 6
EXP = 7
POW = 7
SIN = 8
COS = 9
LN = 10
EXP = 11
# const class
class Const:
@ -27,7 +31,7 @@ class Const:
Operation.CONST,
None,
None,
other.value
other
)
if other.type == "Var":
return Equation(
@ -39,7 +43,7 @@ class Const:
Operation.VAR,
None,
None,
other.name
other
)
if other.type == "Equation":
return Equation(
@ -49,11 +53,243 @@ class Const:
self.value
) + other
def __sub__(self, other):
if other.type == "Const":
return Equation(
Operation.CONST,
None,
None,
self.value
) - Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return Equation(
Operation.CONST,
None,
None,
self.value
) - Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(
Operation.CONST,
None,
None,
self.value
) - other
def __mul__(self, other):
if other.type == "Const":
return Equation(
Operation.CONST,
None,
None,
self.value
) * Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return Equation(
Operation.CONST,
None,
None,
self.value
) * Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(
Operation.CONST,
None,
None,
self.value
) * other
def __truediv__(self, other):
if other.type == "Const":
return Equation(
Operation.CONST,
None,
None,
self.value
) / Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return Equation(
Operation.CONST,
None,
None,
self.value
) / Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(
Operation.CONST,
None,
None,
self.value
) / other
# var class
class Var:
def __init__(self, name) -> None:
def __init__(self, name, degree=0) -> None:
self.name = name
self.type = "Var"
self.degree = degree
def __add__(self, other):
if other.type == "Const":
return Equation(
Operation.VAR,
None,
None,
self.name
) + Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return Equation(
Operation.VAR,
None,
None,
self.name
) + Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(
Operation.VAR,
None,
None,
self.name
) + other
def __sub__(self, other):
if other.type == "Const":
return Equation(
Operation.VAR,
None,
None,
self.name
) - Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return Equation(
Operation.VAR,
None,
None,
self.name
) - Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(
Operation.VAR,
None,
None,
self.name
) - other
def __mul__(self, other):
if other.type == "Const":
return Equation(
Operation.VAR,
None,
None,
self.name
) * Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return Equation(
Operation.VAR,
None,
None,
self.name
) * Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(
Operation.VAR,
None,
None,
self.name
) * other
def __truediv__(self, other):
if other.type == "Const":
return Equation(
Operation.VAR,
None,
None,
self.name
) / Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return Equation(
Operation.VAR,
None,
None,
self.name
) / Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(
Operation.VAR,
None,
None,
self.name
) / other
# equation class
class Equation:
@ -64,6 +300,96 @@ class Equation:
self.value = value
self.type = "Equation"
def copy(self):
if self.op == Operation.CONST:
return Const(self.value.value)
if self.op == Operation.VAR:
return Var(self.value.name, self.value.degree)
return Operation(self.op, self.left.copy(), self.right.copy(), None)
def diff(self):
if self.op == Operation.CONST:
return Const(0)
if self.op == Operation.VAR:
return Var(self.value.name, self.value.degree+1)
if self.op == Operation.ADD:
return self.left.diff() + self.right.diff()
if self.op == Operation.SUB:
return self.left.diff() - self.right.diff()
if self.op == Operation.MULT:
return self.left.diff()*self.right.copy() + self.left.copy()*self.right.diff()
if self.op == Operation.DIV:
return (self.left.diff()*self.right.copy() - self.left.copy()*self.right.diff()) \
/ (self.right.copy()*self.right.copy())
def __add__(self, other):
if other.type == "Const":
return self + Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return self + Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(Operation.ADD, self, other, None)
def __sub__(self, other):
if other.type == "Const":
return self - Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return self - Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(Operation.SUB, self, other, None)
def __mul__(self, other):
if other.type == "Const":
return self * Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return self * Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(Operation.MULT, self, other, None)
def __truediv__(self, other):
if other.type == "Const":
return self / Equation(
Operation.CONST,
None,
None,
other
)
if other.type == "Var":
return self / Equation(
Operation.VAR,
None,
None,
other
)
if other.type == "Equation":
return Equation(Operation.DIV, self, other, None)