The function derivate_leaf takes as argument an expression that is a leaf, and a variable, and returns the symbolic derivative of the leaf writh respect to the variable. (code should be in python). def derivate_leaf(e, x): """This function takes as input an expression e and a variable x, and returns the symbolic derivative of e wrt. x, as an expression.""" # YOUR CODE HERE should pass these test cases: assert derivate_leaf("x", "x") == 1 assert derivate_leaf("x", "y") == 0 assert derivate_leaf("y", "z") == 0 assert derivate_leaf(4, "x") == 0
The function derivate_leaf takes as argument an expression that is a leaf, and a variable, and returns the symbolic derivative of the leaf writh respect to the variable. (code should be in python). def derivate_leaf(e, x): """This function takes as input an expression e and a variable x, and returns the symbolic derivative of e wrt. x, as an expression.""" # YOUR CODE HERE should pass these test cases: assert derivate_leaf("x", "x") == 1 assert derivate_leaf("x", "y") == 0 assert derivate_leaf("y", "z") == 0 assert derivate_leaf(4, "x") == 0
Computer Networking: A Top-Down Approach (7th Edition)
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Publisher:James Kurose, Keith Ross
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The function derivate_leaf takes as argument an expression that is a leaf, and a variable, and returns the symbolic derivative of the leaf writh respect to the variable. (code should be in python).
def derivate_leaf(e, x):
"""This function takes as input an expression e and a variable x,
and returns the symbolic derivative of e wrt. x, as an expression."""
# YOUR CODE HERE
should pass these test cases:
assert derivate_leaf("x", "x") == 1
assert derivate_leaf("x", "y") == 0
assert derivate_leaf("y", "z") == 0
assert derivate_leaf(4, "x") == 0
![[8] def simplify(e):
if isinstance(e, tuple):
op, l, r = e
# We simplify the children expressions.
11 = simplify( Add text cell
simplify(r)
rr =
# We compute the expression if we can.
if isnumber(ll) and isnumber(rr) :
return calc(op, ll, rr)
else:
return (op, l1, rr)
else:
# Leaf. No simplification is possible.
return e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecf10a40-9173-4876-b1dc-0585f27b87b2%2F87b6898b-87c5-4462-9158-5bf5877756c2%2Fndvefx6_processed.png&w=3840&q=75)
Transcribed Image Text:[8] def simplify(e):
if isinstance(e, tuple):
op, l, r = e
# We simplify the children expressions.
11 = simplify( Add text cell
simplify(r)
rr =
# We compute the expression if we can.
if isnumber(ll) and isnumber(rr) :
return calc(op, ll, rr)
else:
return (op, l1, rr)
else:
# Leaf. No simplification is possible.
return e
![[2]
Os
class IllegalOperator(Exception):
pass
Let us define a helper function calc,which takes as argument an operator and two numbers, and computes the required operation. It will make
it easier to write the rest of the code.
def calc(op, left, right):
if op == "+":
return left + right
elif op ==
"_":
return left -
right
elif op ==
"*":
return left * right
elif op == "/":
return left / right
else:
raise IllegalOperator(op)
With this, we can write our compute method as follows.
[ 4] def compute(e):
if isinstance(e, tuple):
# We have an expression.
op, 1, r = e
# We compute the subexpressions.
1l = compute(1)
rr = compute(r)
# And on the basis of those, the whole expression.
return calc (op, 11, rr)
else:
# base expression; just return the number.
return e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecf10a40-9173-4876-b1dc-0585f27b87b2%2F87b6898b-87c5-4462-9158-5bf5877756c2%2Fcdcdt7f_processed.png&w=3840&q=75)
Transcribed Image Text:[2]
Os
class IllegalOperator(Exception):
pass
Let us define a helper function calc,which takes as argument an operator and two numbers, and computes the required operation. It will make
it easier to write the rest of the code.
def calc(op, left, right):
if op == "+":
return left + right
elif op ==
"_":
return left -
right
elif op ==
"*":
return left * right
elif op == "/":
return left / right
else:
raise IllegalOperator(op)
With this, we can write our compute method as follows.
[ 4] def compute(e):
if isinstance(e, tuple):
# We have an expression.
op, 1, r = e
# We compute the subexpressions.
1l = compute(1)
rr = compute(r)
# And on the basis of those, the whole expression.
return calc (op, 11, rr)
else:
# base expression; just return the number.
return e
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