22 Commits

Author SHA1 Message Date
ec152c5758 Some refactoring. 2023-09-27 23:02:49 +03:00
e2ebe2d095 change labels for memory inputs 2023-08-01 16:10:25 +03:00
5e5f76deee extend main.py interface to support chained commands 2023-07-30 17:15:19 +03:00
9f7ec834b2 Merge pull request 'Implement all methods for binary division' (#4) from division-implementation into master
Reviewed-on: #4
2023-07-30 10:25:27 +03:00
a387325077 remove unused get_mantice_complement() function 2023-07-29 20:57:51 +03:00
f31491cdad fix first division method, ready for merging 2023-07-29 20:50:40 +03:00
91fc4084e1 implemented division method 2, method 1 still needs work 2023-07-29 18:42:06 +03:00
c8fb25025c Changed BasicRegister.__init__() to accept decue instead of a list.
Inherited Counter from BasicRegister.
2023-06-28 14:49:35 +03:00
f1d348616a Merge pull request 'Add binary multiplication functions' (#3) from multiplication-implementation into master
Reviewed-on: #3
2023-06-28 14:19:28 +03:00
9e06a93c19 remove redundant method: BasicRegister.compact_str() 2023-06-28 12:59:25 +03:00
4e0e30383d add multiplication logging, include prettytable library and update input_handler menu structure 2023-06-28 12:36:02 +03:00
421a94b195 Renamed reverse to negate. 2023-06-27 22:47:13 +03:00
5a26802c34 optimize binary_sum_with_carry function by removing code repetition 2023-06-27 22:09:45 +03:00
9925c22954 add support for all multiplication methods and extend input_handler menu structure 2023-06-27 22:00:15 +03:00
6afb9151fe Documented all methods and functions. 2023-06-27 17:53:18 +03:00
32cf1e8712 Documented all methods and functions. 2023-06-27 17:49:33 +03:00
c20aef323d Rewrote align_registers to accept any number of registers. 2023-06-27 17:49:03 +03:00
32605e4b49 Introduced binary_sum_with_carry and rewrote binary_sum accordingly. 2023-06-27 17:05:40 +03:00
0f94f6d37a Minor rewrites. 2023-06-27 16:43:18 +03:00
9fedc98310 Implemented input_handler function. 2023-06-27 16:40:09 +03:00
b3c5011c11 Revamped function scopes. 2023-06-27 15:53:20 +03:00
f477c6f9e1 binary_subtraction_1_complement initial commit. 2023-06-27 15:34:39 +03:00
3 changed files with 3055 additions and 70 deletions

View File

@@ -1,5 +1,8 @@
import copy
from collections import deque
from typing_extensions import Self
from lib.prettytable import PrettyTable
class BasicRegister:
@@ -9,14 +12,14 @@ class BasicRegister:
:param deque[bool] memory: The bits stored inside the register.
"""
def __init__(self, memory: list[bool]):
self.memory: deque[bool] = deque(memory)
def __init__(self, memory: deque[bool]):
self.memory: deque[bool] = memory
def __repr__(self) -> str:
return f"Memory: {[int(value) for value in self.memory]}"
return "".join([str(int(value)) for value in self.memory])
def __str__(self) -> str:
return f"Memory: {[int(value) for value in self.memory]}"
return "".join([str(int(value)) for value in self.memory])
def __len__(self) -> int:
return len(self.memory)
@@ -32,24 +35,73 @@ class BasicRegister:
"""
current_memory_size: int = len(self.memory)
return BasicRegister(
[False] * max(resulting_size - current_memory_size, 0) + list(self.memory)[-resulting_size:]
deque([False] * max(resulting_size - current_memory_size, 0) + list(self.memory)[-resulting_size:])
)
def reverse(self):
def negate(self):
"""
Performs logical negation on the register.
"""
self.memory = deque([not value for value in self.memory])
def left_shift(self, digit_to_fill: bool = False, steps_shifted: int = 1) -> deque[bool]:
self.memory.extend([digit_to_fill] * steps_shifted)
shifted_radices: deque[bool] = deque([self.memory.popleft() for _i in range(steps_shifted)])
return shifted_radices
def left_shift(self, shift_in_value: bool = False, bits_shifted: int = 1) -> deque[bool]:
"""
Shifts the register to the left by a specified number of steps.
def right_shift(self, digit_to_fill: bool = False, steps_shifted: int = 1) -> deque[bool]:
self.memory.extendleft([digit_to_fill] * steps_shifted)
shifted_radices: deque[bool] = deque([self.memory.pop() for _i in range(steps_shifted)])
return shifted_radices
:param bool shift_in_value: The value that shifts inside the freed space.
:param int bits_shifted: The number of bits by which the register is shifted.
:return: The bits shifted outside the register.
:rtype: deque[bool]
"""
self.memory.extend([shift_in_value] * bits_shifted)
shifted_bits: deque[bool] = deque([self.memory.popleft() for _i in range(bits_shifted)])
return shifted_bits
def right_shift(self, shift_in_value: bool = False, bits_shifted: int = 1) -> deque[bool]:
"""
Shifts the register to the right by a specified number of steps
:param bool shift_in_value: The value that shifts inside the freed space.
:param int bits_shifted: The number of bits by which the register is shifted.
:return: The bits shifted outside the register.
:rtype: deque[bool]
"""
self.memory.extendleft([shift_in_value] * bits_shifted)
shifted_bits: deque[bool] = deque([self.memory.pop() for _i in range(bits_shifted)])
return shifted_bits
def get_memory(variable_name: str) -> list[bool]:
class Counter(BasicRegister):
"""
The Counter represents a hardware register specifically designed for countdowns.
:param int value: Initial numeric value this Counter holds.
"""
def __init__(self, value: int):
# memory: deque[bool] = deque([i == "1" for i in bin(value)[2:]])
super().__init__(deque([i == "1" for i in bin(value)[2:]]))
# self.memory: deque[bool] = deque([i == "1" for i in bin(value)[2:]])
def __repr__(self) -> str:
return "".join([str(int(value)) for value in self.memory])
def __str__(self) -> str:
return "".join([str(int(value)) for value in self.memory])
def __len__(self) -> int:
return len(self.memory)
def decrement(self):
self.memory = binary_subtraction(self, BasicRegister(deque([False] * (len(self.memory) - 1) + [True]))).memory
def non_zero(self) -> bool:
return any(self.memory)
def get_memory(variable_name: str) -> deque[bool]:
"""
Reads user input to be used as a memory array.
@@ -62,48 +114,362 @@ def get_memory(variable_name: str) -> list[bool]:
input_chars: list[str] = list(input(f"Enter {variable_name}: "))
if all(character in ["0", "1"] for character in input_chars):
return [True if character == "1" else False for character in input_chars]
return deque([True if character == "1" else False for character in input_chars])
else:
print(f"[ERROR] The {variable_name} may contain only 1-s and 0-s!")
def binary_sum(first_term: BasicRegister, second_term: BasicRegister, return_remainder: bool = False)\
-> BasicRegister | tuple[BasicRegister, int]:
def binary_sum_with_carry(first_term: BasicRegister, second_term: BasicRegister) -> tuple[BasicRegister, int]:
"""
Sums two registers' values.
Sums two registers' values and keeps the carry-out.
:param BasicRegister first_term: First register.
:param BasicRegister second_term: Second register.
:param bool return_remainder: True to return the tuple, False to return just the register.
:return: Register containing the sum or the tuple containing the register and carried radix.
:rtype: BasicRegister | tuple[BasicRegister, int]
:return: Register containing the sum and the carry-out bit.
:rtype: tuple[BasicRegister, int]
"""
size_a = len(first_term)
size_b = len(second_term)
required_size = max(size_a, size_b)
a = first_term
b = second_term
if size_a != size_b:
a = a.adjusted_by_size(required_size)
b = b.adjusted_by_size(required_size)
c = BasicRegister([False] * required_size)
result_term = BasicRegister(deque([False] * len(first_term)))
carry = False
for i in range(required_size - 1, 0, -1):
current_bit_sum = a.memory[i] + b.memory[i] + carry
for i in range(len(first_term) - 1, -1, -1):
current_bit_sum = first_term.memory[i] + second_term.memory[i] + carry
carry = bool(current_bit_sum & 2)
c.memory[i] = bool(current_bit_sum & 1)
result_term.memory[i] = bool(current_bit_sum & 1)
final_bit_sum = a.memory[0] + b.memory[0] + carry
carry = bool(final_bit_sum & 2)
c.memory[0] = bool(final_bit_sum & 1)
return result_term, carry
if return_remainder:
return c, carry
def binary_sum(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
"""
Sums two terms containing binary numbers.
:param BasicRegister first_term: First register to add.
:param BasicRegister second_term: Second register to add.
:return: Register containing the sum.
:rtype: BasicRegister
"""
return binary_sum_with_carry(first_term, second_term)[0]
def binary_subtraction(minuend: BasicRegister, subtrahend: BasicRegister) -> BasicRegister:
"""
Subtracts the second term from the first in binary using ones' complement.
:param BasicRegister minuend: Register to subtract from.
:param BasicRegister subtrahend: Register to subtract by.
:return: Register containing the difference.
:rtype: BasicRegister
"""
subtrahend = BasicRegister(subtrahend.memory)
subtrahend.negate()
difference: BasicRegister
final_carry: bool
difference, final_carry = binary_sum_with_carry(minuend, subtrahend)
if final_carry:
return binary_sum(difference, BasicRegister(deque([False] * (len(difference) - 1) + [True])))
else:
return c
difference.negate()
return difference
def binary_subtraction_second_complement(minuend: BasicRegister, subtrahend: BasicRegister) \
-> tuple[BasicRegister, bool]:
"""
Subtracts the second term from the first in binary using seconds' complement.
:param BasicRegister minuend: Register to subtract from.
:param BasicRegister subtrahend: Register to subtract by.
:return: Register containing the difference.
:rtype: BasicRegister
"""
subtrahend = BasicRegister(subtrahend.memory)
subtrahend.negate()
subtrahend = binary_sum(*align_registers(subtrahend, BasicRegister([True])))
difference: BasicRegister
final_carry: bool
difference, final_carry = binary_sum_with_carry(minuend, subtrahend)
return difference, final_carry
def align_registers(*registers: BasicRegister) -> tuple[BasicRegister, ...]:
"""
Aligns registers by the length of the bigger one.
:param BasicRegister registers: Registers to align.
:return: Aligned registers.
:rtype: tuple[BasicRegister, ...]
"""
required_size: int = max(map(len, registers))
return tuple(reg.adjusted_by_size(required_size) for reg in registers)
def format_device_state_table(table) -> str:
pt = PrettyTable()
pt.field_names = table[0]
for block in table[1:]:
for line in block[:-1]:
pt.add_row(line)
pt.add_row(block[-1], divider=True)
return pt.get_string()
def binary_multiplication_method_1(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Multiplies two terms containing binary numbers using first method.
:param BasicRegister first_term: First register to multiply.
:param BasicRegister second_term: Second register to multiply.
:return: Register containing the product.
:rtype: BasicRegister
"""
n: int = len(first_term)
rg1 = BasicRegister(deque([False] * n))
rg2 = copy.copy(first_term)
rg3 = copy.copy(second_term)
ct = Counter(n)
data_table = [["iter", "RG1", "RG2", "RG3", "CT", "MicroOperations"]]
i = 0
data_table.append([])
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, ct, "-"])))
while ct.non_zero():
i += 1
data_table.append([])
if rg2.memory[n-1]:
rg1 = binary_sum(rg1, rg3)
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, ct, "RG1 := RG1 + RG3"])))
rg2.right_shift(rg1.memory[n-1])
rg1.right_shift()
ct.decrement()
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, ct, "RG2 := RG1[1].r(RG2)\nRG1 := 0.r(RG1)\nCT := CT - 1"])))
return BasicRegister(rg1.memory + rg2.memory), data_table
def binary_multiplication_method_2(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Multiplies two terms containing binary numbers using second method.
:param BasicRegister first_term: First register to multiply.
:param BasicRegister second_term: Second register to multiply.
:return: Register containing the product.
:rtype: BasicRegister
"""
n: int = len(first_term)
rg1 = BasicRegister(deque([False] * (2*n)))
rg2 = copy.copy(first_term)
rg3 = BasicRegister(deque([False] * n + list(second_term.memory)))
i = 0
data_table = [["iter", "RG1", "RG2", "RG3", "MicroOperations"], []]
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, "-"])))
while any(rg2.memory):
i += 1
data_table.append([])
if rg2.memory[n-1]:
rg1 = binary_sum(rg1, rg3)
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, "RG1 := RG1 + RG3"])))
rg2.right_shift()
rg3.left_shift()
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, "RG2 := 0.r(RG2)\nRG3 := l(RG3).0"])))
return rg1, data_table
def binary_multiplication_method_3(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Multiplies two terms containing binary numbers using third method.
:param BasicRegister first_term: First register to multiply.
:param BasicRegister second_term: Second register to multiply.
:return: Register containing the product.
:rtype: BasicRegister
"""
n: int = len(first_term)
data_table = [["iter", "RG2", "RG1", "RG3", "CT", "MicroOperations"]]
rg1 = BasicRegister(deque([False] * n))
rg2 = BasicRegister(first_term.memory + deque([False]))
rg3 = BasicRegister(deque([False] * (n+1)) + second_term.memory)
ct = Counter(n)
i = 0
data_table.append([])
data_table[-1].append(list(map(str, [i, rg2, rg1, rg3, ct, "-"])))
while ct.non_zero():
i += 1
data_table.append([])
if rg2.memory[0]:
result: list[bool] = list(binary_sum(BasicRegister(rg2.memory + rg1.memory), rg3).memory)
rg2 = BasicRegister(deque(result[:n+1]))
rg1 = BasicRegister(deque(result[n+1:]))
data_table[-1].append(list(map(str, [i, rg2, rg1, rg3, ct, "RG2.RG1 := RG2.RG1 + RG3"])))
rg2.left_shift(rg1.memory[0])
rg1.left_shift()
ct.decrement()
data_table[-1].append(list(map(str, [i, rg2, rg1, rg3, ct, "RG2.RG1 := l(RG2.RG1).0\nCT := CT - 1"])))
return BasicRegister(deque(list(rg2.memory + rg1.memory)[:-1])), data_table
def binary_multiplication_method_4(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Multiplies two terms containing binary numbers using fourth method.
:param BasicRegister first_term: First register to multiply.
:param BasicRegister second_term: Second register to multiply.
:return: Register containing the product.
:rtype: BasicRegister
"""
n: int = len(first_term)
rg1 = BasicRegister(deque([False] * (2*n+1)))
rg2 = copy.copy(first_term)
rg3 = BasicRegister(deque([False]) + second_term.memory + deque([False] * n))
data_table = [["iter", "RG1", "RG2", "RG3", "MicroOperations"]]
i = 0
data_table.append([])
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, "-"])))
while any(rg2.memory):
i += 1
data_table.append([])
if rg2.memory[0]:
rg1 = binary_sum(rg1, rg3)
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, "RG1 := RG1 + RG3"])))
rg2.left_shift()
rg3.right_shift()
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, "RG2 := l(RG2).0\nRG3 := 0.r(RG3)"])))
return BasicRegister(deque(list(rg1.memory)[:-1])), data_table
def binary_division_method_1(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Divides first term by the second term containing binary numbers using first method.
:param: BasicRegister first_term: Register being divided.
:param: BasicRegister second_term: Register being divided by.
:return: Register containing the division result.
:rtype: BasicRegister
"""
n: int = len(first_term)
rg1 = BasicRegister(deque([False, False]) + second_term.memory)
rg2 = BasicRegister(deque([False, False]) + first_term.memory)
rg3 = BasicRegister(deque([True] * (n+1)))
data_table = [["iter", "RG3", "RG2", "RG1", "MicroOperations"]]
i = 0
data_table.append([])
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "-"])))
while rg3.memory[0]:
i += 1
data_table.append([])
if rg2.memory[0]:
rg2 = binary_sum(rg2, rg1)
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 + RG1"])))
else:
rg2, _ = binary_subtraction_second_complement(rg2, rg1)
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 - RG1"])))
rg3.left_shift(not rg2.memory[0])
rg2.left_shift()
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, f"RG3 := l(RG3).!RG2[{n+2}]\nRG2 := l(RG2).0"])))
return BasicRegister(deque(list(rg3.memory)[1:])), data_table
def binary_division_method_2(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Divides first term by the second term containing binary numbers using second method.
:param: BasicRegister first_term: Register being divided.
:param: BasicRegister second_term: Register being divided by.
:return: Register containing the division result.
:rtype: BasicRegister
"""
n: int = len(first_term)
rg1 = BasicRegister(deque([False]) + second_term.memory + deque([False]*n))
rg2 = BasicRegister(deque([False]) + first_term.memory + deque([False]*n))
rg3 = BasicRegister(deque([True] * (n+1)))
data_table = [["iter", "RG3", "RG2", "RG1", "MicroOperations"]]
i = 0
carry = False
data_table.append([])
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "-"])))
while rg3.memory[0]:
i += 1
data_table.append([])
if rg2.memory[0]:
rg2, carry = binary_sum_with_carry(rg2, rg1)
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 + RG1"])))
else:
rg2, carry = binary_subtraction_second_complement(rg2, rg1)
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 - RG1"])))
rg3.left_shift(carry)
rg1.right_shift()
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, f"RG3 := l(RG3).SM[p]\nRG1 := 0.r(RG1)"])))
return BasicRegister(deque(list(rg3.memory)[1:])), data_table

2534
lib/prettytable.py Normal file

File diff suppressed because it is too large Load Diff

137
main.py
View File

@@ -1,31 +1,116 @@
import bitutilities as bu
import timeit
operation = ""
method = ""
user_input = []
def process_command(symbol):
global operation, method
if symbol.lower() in "asmdq":
operation = symbol
elif operation == "m" and symbol in "1234":
method = symbol
elif operation == "d" and symbol in "12":
method = symbol
elif symbol in " ;:":
pass
else:
print(f"Error: unexpected instruction '{symbol}', skipping")
def perform_operation(first_register: bu.BasicRegister, second_register: bu.BasicRegister):
global operation, method
match operation:
case "a":
result, carry = bu.binary_sum_with_carry(first_register, second_register)
print(f"\nSum: {result}\nCarry: {int(carry)}")
operation, method = "", ""
case "s":
result, carry = bu.binary_subtraction_second_complement(first_register, second_register)
print(f"\nSubtraction: {result}\nCarry: {int(carry)}")
operation, method = "", ""
case "m":
match method:
case "1":
result, data_table = bu.binary_multiplication_method_1(first_register, second_register)
print(f"\nMultiplication (method 1):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
operation, method = "", ""
case "2":
result, data_table = bu.binary_multiplication_method_2(first_register, second_register)
print(f"\nMultiplication (method 2):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
operation, method = "", ""
case "3":
result, data_table = bu.binary_multiplication_method_3(first_register, second_register)
print(f"\nMultiplication (method 3):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
operation, method = "", ""
case "4":
result, data_table = bu.binary_multiplication_method_4(first_register, second_register)
print(f"\nMultiplication (method 4):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
operation, method = "", ""
case _:
pass
case "d":
match method:
case "1":
result, data_table = bu.binary_division_method_1(first_register, second_register)
print(f"\nDivision (method 1):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
operation, method = "", ""
case "2":
result, data_table = bu.binary_division_method_2(first_register, second_register)
print(f"\nDivision (method 2):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
operation, method = "", ""
case _:
pass
case "q":
exit(0)
case _:
pass
def get_prompt_text(operation: any, method: any) -> str:
response = "({} {})"
if operation:
response += " {}"
if operation and method:
response += "/{}"
return response
def input_handler(first_register: bu.BasicRegister, second_register: bu.BasicRegister):
global user_input, operation
first_register, second_register = bu.align_registers(first_register, second_register)
print()
print(first_register)
print(second_register)
while True:
prompt_text: str = get_prompt_text(operation, method).format(first_register, second_register, operation, method)
print()
if operation == "":
raw_user_input = input("Choose the operation:\n[a]ddition, [s]ubtraction, [m]ultiplication, [d]ivision, "
"[q]uit\n" + prompt_text + " > ")
elif operation == "m":
raw_user_input = input("Choose method to use (1-4):\n" + prompt_text + " > ")
elif operation == "d":
raw_user_input = input("Choose method to use (1-2):\n" + prompt_text + " > ")
user_input = list(raw_user_input)
for symbol in user_input:
process_command(symbol)
perform_operation(first_register, second_register)
if __name__ == '__main__':
reg: bu.BasicRegister = bu.BasicRegister(bu.get_memory("memory"))
reg1: bu.BasicRegister = bu.BasicRegister(bu.get_memory("first operand"))
reg2: bu.BasicRegister = bu.BasicRegister(bu.get_memory("second operand"))
print()
print("Register 1:")
print(reg)
print()
reg2: bu.BasicRegister = bu.BasicRegister(bu.get_memory("more memory"))
print()
print("Register 2:")
print(reg2)
print()
reg3: bu.BasicRegister = bu.binary_sum(reg, reg2)
print()
print("Sum:")
print(reg3)
carry_sum_test: tuple[bu.BasicRegister, int] = bu.binary_sum(reg, reg2, True)
print()
print("Sum & carry:")
# print(type(carry_sum_test))
print(carry_sum_test)
input_handler(reg1, reg2)