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Updated postfix_evaluation.py to support Unary operators #8787

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Aug 23, 2023
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52 changes: 0 additions & 52 deletions data_structures/stacks/evaluate_postfix_notations.py

This file was deleted.

232 changes: 192 additions & 40 deletions data_structures/stacks/postfix_evaluation.py
Original file line number Diff line number Diff line change
@@ -1,4 +1,11 @@
"""
The Reverse Polish Nation also known as Polish postfix notation
or simply postfix notation.
https://en.wikipedia.org/wiki/Reverse_Polish_notation
Classic examples of simple stack implementations
Valid operators are +, -, *, /.
Each operand may be an integer or another expression.

Output:

Enter a Postfix Equation (space separated) = 5 6 9 * +
Expand All @@ -17,52 +24,197 @@
Result = 59
"""

import operator as op

def get_number(data: str) -> tuple[bool, int] | tuple[bool, float] | tuple[bool, str]:
"""
Converts the given data to appropriate number if it is indeed a number, else returns
the data as it is with a False flag. This function also serves as a check of whether
the input is a number or not.

Parameters
----------
data : str
The data which needs to be converted to the appropriate number

Returns
-------
bool, int or float
Returns a tuple of (a, b) where 'a' is True if data is indeed a number (integer
or numeric) and 'b' is either an integer of a floating point number.
If 'a' is False, then b is 'data'
"""
int_val = 0
float_val = 0.0
try:
int_val = int(data)
return True, int_val
except ValueError:
try:
float_val = float(data)
return True, float_val
except ValueError:
return False, data


def is_operator(data: str) -> bool:
"""
Checks whether a given input is one of the valid operators or not.
Valid operators being '-', '+', '*', '^' and '/'.

Parameters
----------
data : str
The value that needs to be checked for operator

Returns
-------
bool
True if data is an operator else False.
"""
return data in ["-", "+", "*", "^", "/"]


def solve(post_fix):
def evaluate(post_fix: list, verbose: bool = False) -> int | float | str | None:
"""
Function that evaluates postfix expression using a stack.
>>> evaluate(["2", "1", "+", "3", "*"])
9
>>> evaluate(["4", "13", "5", "/", "+"])
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@cclauss cclauss Aug 23, 2023

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Please add doctests for:

  • evaluate(["0"])
  • evaluate(["-0"])
  • evaluate(["1"])
  • evaluate(["-1"])
  • evaluate(["-1.1"])
  • evaluate(["2", "1.9", "+", "3", "*"])
  • evaluate(["2", "-1.9", "+", "3", "*"])
  • evaluate(["2", "--1.9", "+", "3", "*"])

6.6
>>> evaluate(["2", "-", "3", "+"])
1
>>> evaluate([])
0

Parameters
----------
post_fix : list
The postfix expression tokenized into operators and operands and stored as a
python list

verbose : bool
Display stack contents while evaluating the expression if verbose is True

Returns
-------
int
The evaluated value
"""
stack = []
div = lambda x, y: int(x / y) # noqa: E731 integer division operation
opr = {
"^": op.pow,
"*": op.mul,
"/": div,
"+": op.add,
"-": op.sub,
"^": lambda p, q: p**q,
"*": lambda p, q: p * q,
"/": lambda p, q: p / q,
"+": lambda p, q: p + q,
"-": lambda p, q: p - q,
} # operators & their respective operation
if len(post_fix) > 0:
if verbose:
# print table header
print("Symbol".center(8), "Action".center(12), "Stack", sep=" | ")
print("-" * (30 + len(post_fix)))
for x in post_fix:
is_number, x = get_number(x)
if is_number: # if x is a number (integer, float)
stack.append(x) # append x to stack
if verbose:
# output in tabular format
print(
str(x).rjust(8),
("push(" + str(x) + ")").ljust(12),
stack,
sep=" | ",
)
elif is_operator(x):
# If only 1 value is inside stack and + or - is encountered
# then this is unary + or - case
if x in ["-", "+"] and len(stack) < 2:
b = stack.pop() # pop stack
if x == "-":
stack.append(-b) # negate b and push again into stack
else: # when x is unary +
stack.append(b)
if verbose:
# output in tabular format
print(
"".rjust(8),
("pop(" + str(b) + ")").ljust(12),
stack,
sep=" | ",
)
print(
str(x).rjust(8),
("push(" + str(x) + str(b) + ")").ljust(12),
stack,
sep=" | ",
)
else:
b = stack.pop() # pop stack
if verbose:
# output in tabular format
print(
"".rjust(8),
("pop(" + str(b) + ")").ljust(12),
stack,
sep=" | ",
)

a = stack.pop() # pop stack
if verbose:
# output in tabular format
print(
"".rjust(8),
("pop(" + str(a) + ")").ljust(12),
stack,
sep=" | ",
)
# evaluate the 2 values popped from stack & push result to stack
stack.append(opr[x](a, b))
if verbose:
# output in tabular format
print(
str(x).rjust(8),
("push(" + str(a) + str(x) + str(b) + ")").ljust(12),
stack,
sep=" | ",
)
else:
print(f"{x} is neither a number, nor a valid operator")
break
# If everything executed correctly,the stack will contain
# only one element which is the result
result = stack[0] if len(stack) == 1 else None
return result
return 0


def is_yes(val: str) -> bool:
"""
Function that checks whether a user has entered any representation of a Yes (y, Y).
Any other input is considered as a No.

Parameters
-----------
val : str
The value entered by user

# print table header
print("Symbol".center(8), "Action".center(12), "Stack", sep=" | ")
print("-" * (30 + len(post_fix)))

for x in post_fix:
if x.isdigit(): # if x in digit
stack.append(x) # append x to stack
# output in tabular format
print(x.rjust(8), ("push(" + x + ")").ljust(12), ",".join(stack), sep=" | ")
else:
b = stack.pop() # pop stack
# output in tabular format
print("".rjust(8), ("pop(" + b + ")").ljust(12), ",".join(stack), sep=" | ")

a = stack.pop() # pop stack
# output in tabular format
print("".rjust(8), ("pop(" + a + ")").ljust(12), ",".join(stack), sep=" | ")

stack.append(
str(opr[x](int(a), int(b)))
) # evaluate the 2 values popped from stack & push result to stack
# output in tabular format
print(
x.rjust(8),
("push(" + a + x + b + ")").ljust(12),
",".join(stack),
sep=" | ",
)

return int(stack[0])
Returns
-------
bool
True if Yes, otherwise False
"""
return val in ["Y", "y"]


if __name__ == "__main__":
Postfix = input("\n\nEnter a Postfix Equation (space separated) = ").split(" ")
print("\n\tResult = ", solve(Postfix))
loop = True
# Creating a loop so that user can evaluate postfix expression multiple times
while loop:
expression = input("Enter a Postfix Expression (space separated): ").split(" ")
choice = input("Do you want to see stack contents while evaluating? [y/N]: ")
display = is_yes(choice)
output = evaluate(expression, display)
if output is not None:
print("Result = ", output)
choice = input("Do you want to enter another expression? [y/N]: ")
loop = is_yes(choice)