12 Commits

Author SHA1 Message Date
4c994a8fef Trying to multiply. 2023-10-02 15:07:58 +03:00
aef2dc3760 Playing with tables. 2023-06-28 15:55:28 +03:00
52065cbc37 Playing with tables. 2023-06-28 00:29:48 +03:00
ed4a9f08cd Playing with tables. 2023-06-28 00:10:53 +03:00
f522eab9bf Minor code cleanup. 2023-06-27 23:46:26 +03:00
ca91c2ea56 Added documentation. 2023-06-27 23:45:55 +03:00
7ab69ecbe8 Very minor cleanup. 2023-06-27 22:34:57 +03:00
1e505683cb Shortened summation code. 2023-06-27 22:28:38 +03:00
289b87a556 Rewrote bit shifts. 2023-06-27 22:28:01 +03:00
81f190dc60 Catching up with master branch. 2023-06-27 21:05:56 +03:00
75670b9de9 println! playing. 2023-06-26 00:47:01 +03:00
31143cac1d Implemented fmt::Binary. 2023-06-26 00:43:51 +03:00
6 changed files with 347 additions and 143 deletions

21
Cargo.toml Normal file
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[package]
name = "rust_tests"
version = "0.1.0"
edition = "2021"
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
[profile.dev.package."*"] # +
opt-level = "z" # Optimize library for size
[profile.release]
#opt-level = 'z' # Optimize for size
opt-level = 3 # Optimize for speed
lto = true # Enable link-time optimization
codegen-units = 1 # Reduce number of codegen units to increase optimizations
panic = 'abort' # Abort on panic
strip = true # Strip symbols from binary*
[dependencies]
text_io = "0.1.12"
tabled = "0.14.0"

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# binaryCalculatorPrototype
This is a Python language prototype for a binary calculator to be used in Computer Arithmetics lab works for first-year students studying Computer Engineering at KPI.

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from collections import deque
from typing_extensions import Self
class BasicRegister:
"""
The BasicRegister represents a hardware register capable of manipulating multiple bits at a time.
:param deque[bool] memory: The bits stored inside the register.
"""
def __init__(self, memory: list[bool]):
self.memory: deque[bool] = deque(memory)
def __repr__(self) -> str:
return f"Memory: {[int(value) for value in self.memory]}"
def __str__(self) -> str:
return f"Memory: {[int(value) for value in self.memory]}"
def __len__(self) -> int:
return len(self.memory)
def adjusted_by_size(self, resulting_size: int) -> Self:
"""
Adjusts a register to a given size.
:param int resulting_size: The size of the resulting register.
:return: A register of a specified size.
:rtype: BasicRegister
"""
current_memory_size: int = len(self.memory)
return BasicRegister(
[False] * max(resulting_size - current_memory_size, 0) + list(self.memory)[-resulting_size:]
)
def reverse(self):
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 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
def get_memory(variable_name: str) -> list[bool]:
"""
Reads user input to be used as a memory array.
:param str variable_name: The name to be displayed in the input line.
:return: A list of boolean values read from user.
:rtype: list[bool]
"""
while True:
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]
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]:
"""
Sums two registers' values.
: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]
"""
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)
carry = False
for i in range(required_size - 1, 0, -1):
current_bit_sum = a.memory[i] + b.memory[i] + carry
carry = bool(current_bit_sum & 2)
c.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)
if return_remainder:
return c, carry
else:
return c

31
main.py
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import bitutilities as bu
import timeit
if __name__ == '__main__':
reg: bu.BasicRegister = bu.BasicRegister(bu.get_memory("memory"))
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)

266
src/bit_utilities.rs Normal file
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use std::collections::VecDeque;
use std::{cmp, fmt};
fn capitalise(s: &str) -> String {
let mut c = s.chars();
match c.next() {
None => String::new(),
Some(f) => f.to_uppercase().collect::<String>() + c.as_str(),
}
}
/// A basic register capable of storing binary data.
#[derive(Debug, Clone)]
pub struct BasicRegister {
/// A [VecDeque] that stores the binary data of the register.
memory: VecDeque<bool>,
}
impl BasicRegister {
/// Adjusts a register to a given size in bits.
pub fn adjusted_by_size(&mut self, resulting_size: usize) -> Self {
let current_memory_size: usize = self.memory.len();
let difference: i32 = current_memory_size as i32 - resulting_size as i32;
match current_memory_size > resulting_size {
true => BasicRegister::new(
(difference as usize..current_memory_size)
.map(|i| self.memory[i])
.collect::<VecDeque<bool>>(),
),
false => {
let mut resulting_memory: VecDeque<bool> = vec![false; -difference as usize].into();
resulting_memory.append(&mut self.memory);
BasicRegister::new(resulting_memory)
}
}
}
/// Returns a register which was logically negated.
pub fn negated(&self) -> Self {
BasicRegister::new(self.memory.iter().map(|val| !val).collect())
}
/// Shifts the register to the left by a specified number of steps, shifting in the provided values.
pub fn left_shifted(&self, shift_in_value: bool, bits_shifted: usize) -> Self {
let mut shifted_memory = self.memory.clone();
for _ in 0..bits_shifted {
shifted_memory.pop_front();
shifted_memory.push_back(shift_in_value)
}
BasicRegister::new(shifted_memory)
}
/// Shifts the register to the left by a specified number of steps, shifting in the provided values.
pub fn right_shifted(&self, shift_in_value: bool, bits_shifted: i32) -> Self {
let mut shifted_memory = self.memory.clone();
for _i in 0..bits_shifted {
shifted_memory.pop_back();
shifted_memory.push_front(shift_in_value)
}
BasicRegister::new(shifted_memory)
}
/// Constructs a new BasicRegister from a given VecDeque<bool> as memory.
pub fn new(memory: VecDeque<bool>) -> Self {
Self { memory }
}
/// Returns the number of bits stored in a register.
pub fn len(&self) -> usize {
self.memory.len()
}
pub fn table(&self) -> String {
use tabled::{builder::Builder, settings::Style};
let mut m_row: Vec<String> = Vec::new();
self.memory
.iter()
.for_each(|bit| m_row.push((*bit as u8).to_string()));
let mut builder: Builder = Builder::default();
builder.push_record(
self.memory
.iter()
.map(|bit| (*bit as u8).to_string())
.collect::<Vec<String>>(),
);
builder.build().with(Style::modern()).to_string()
}
fn decrement(&mut self) {
let one = BasicRegister::new([true].into()).adjusted_by_size(self.len());
self.memory = binary_subtraction(self, &one).memory;
}
fn increment(&mut self) {
let one = BasicRegister::new([true].into()).adjusted_by_size(self.len());
self.memory = binary_sum(self, &one).memory;
}
fn non_zero(&mut self) -> bool {
self.memory.iter().any(|i| *i)
}
}
impl Default for BasicRegister {
fn default() -> Self {
Self {
memory: [false].into(),
}
}
}
impl fmt::Display for BasicRegister {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
write!(f, "Memory: [")?;
for (count, v) in self.memory.iter().enumerate() {
if count != 0 {
write!(f, ", ")?;
}
write!(f, "{}", *v as u8)?;
}
write!(f, "]")
}
}
impl fmt::Binary for BasicRegister {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
for v in self.memory.iter() {
write!(f, "{}", *v as u8)?;
}
write!(f, "")
}
}
/// Converts a u8 number to a boolean.
///
/// # Returns
/// * false - if the number is zero or below.
/// * true - if the number is above zero.
fn u8_to_bool(number: u8) -> bool {
number > 0
}
/// Reads a Vec<char> containing only 1-s and 0-s from user.
fn read_vec(variable_name: &str) -> Vec<char> {
loop {
print!("Enter {variable_name}: ");
let input: String = text_io::read!("{}\n");
match input.chars().all(|c| c == '1' || c == '0') {
true => return input.chars().collect(),
false => eprintln!(
"[ERROR] {} may contain only 1-s and 0-s with no whitespaces!",
capitalise(variable_name)
),
}
}
}
/// Converts a Vec<char> containing only 1-s and 0-s to VecDeque<bool>.
pub fn char_to_bool_vecdeque(char_vector: Vec<char>) -> VecDeque<bool> {
let mut bool_vector: VecDeque<bool> = VecDeque::new();
for value in char_vector.into_iter() {
match value {
'0' => bool_vector.push_back(false),
'1' => bool_vector.push_back(true),
_ => (),
}
}
bool_vector
}
/// Handles getting the memory for the register from the user.
pub fn get_memory(variable_name: &str) -> VecDeque<bool> {
char_to_bool_vecdeque(read_vec(variable_name))
}
/// Aligns two registers by the length of the bigger one.
pub fn align_registers(
mut first_register: BasicRegister,
mut second_register: BasicRegister,
) -> (BasicRegister, BasicRegister) {
let required_size: usize = cmp::max(first_register.len(), second_register.len());
(
first_register.adjusted_by_size(required_size),
second_register.adjusted_by_size(required_size),
)
}
/// Sums two terms containing binary numbers and keeps the carry-out.
/// Returns a tuple containing the register with result and a carry-out.
fn binary_sum_with_carry(
first_term: &BasicRegister,
second_term: &BasicRegister,
) -> (BasicRegister, bool) {
let mut sum: BasicRegister = BasicRegister::new(vec![false; first_term.len()].into());
let mut carry: bool = false;
let mut current_bit_sum: u8;
for i in (0..first_term.len()).rev() {
current_bit_sum = first_term.memory[i] as u8 + second_term.memory[i] as u8 + carry as u8;
carry = u8_to_bool(current_bit_sum & 2);
sum.memory[i] = u8_to_bool(current_bit_sum & 1);
}
(sum, carry)
}
/// Sums two terms containing binary numbers.
/// Returns the BasicRegister with the result.
pub fn binary_sum(first_term: &BasicRegister, second_term: &BasicRegister) -> BasicRegister {
binary_sum_with_carry(first_term, second_term).0
}
/// Subtracts the value of the subtrahend from the minuend in binary using ones' complement.
pub fn binary_subtraction(minuend: &BasicRegister, subtrahend: &BasicRegister) -> BasicRegister {
let (difference, final_carry) = binary_sum_with_carry(minuend, &subtrahend.negated());
match final_carry {
true => {
let mut complement: Vec<bool> = vec![false; difference.len() - 1];
complement.extend([true]);
binary_sum(&difference, &BasicRegister::new(complement.into()))
}
false => difference.negated(),
}
}
/// Multiplies the first term by the second term.
pub fn binary_multiplication_method_1(
first_term: &BasicRegister,
second_term: &BasicRegister,
) -> BasicRegister {
let n = first_term.len();
let mut rg1: BasicRegister = BasicRegister::new(vec![false; n].into());
let mut rg2: &BasicRegister = first_term;
let rg3: &BasicRegister = second_term;
let mut counter: BasicRegister = BasicRegister::new(char_to_bool_vecdeque(format!("{n:b}").chars().collect()));
let _i = 0;
while counter.non_zero() {
let value_to_check = rg2.memory[n - 1].clone();
if value_to_check {
rg1 = binary_sum(&rg1, rg3);
}
let new_rg2 = rg2.right_shifted(rg1.memory[n - 1], 1).clone();
rg2 = &rg2.right_shifted(rg1.memory[n - 1], 1);
rg1 = rg1.right_shifted(false, 1);
counter.decrement();
}
rg1.memory.append(&mut rg2.memory.clone());
rg1
}

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src/main.rs Normal file
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#![allow(dead_code)]
mod bit_utilities;
use bit_utilities as bu;
use text_io::read;
fn input_handler() {
let (mut first_register, mut second_register) = bu::align_registers(
bu::BasicRegister::new(bu::get_memory("first number")),
bu::BasicRegister::new(bu::get_memory("second number")),
);
// println!();
// println!("First register:\n{}", first_register.table());
// println!("Second register:\n{}", second_register.table());
loop {
print!("\nChoose the operation:\n[a]ddition, [s]ubtraction, [m]ultiplication, [d]ivision, [q]uit\n>>> ");
let input: String = read!();
match input.as_str() {
"a" => {
let sum: bu::BasicRegister = bu::binary_sum(&first_register, &second_register);
println!("Sum:\n{}\nResult (to copy): {sum:b}", sum.table())
}
"s" => {
let difference: bu::BasicRegister =
bu::binary_subtraction(&first_register, &second_register);
println!(
"Difference:\n{}\nResult (to copy): {difference:b}",
difference.table()
)
},
"m" => loop {
print!("\nChoose method to use (1-4): ");
let method_input: String = read!();
match method_input.as_str() {
"1" => {
println!("{}", bu::binary_multiplication_method_1(&first_register, &second_register));
break;
},
_ => println!("Not an available operation, try again."),
}
},
"d" => (),
"q" => std::process::exit(0x0100),
_ => println!("Not an available operation, try again."),
}
}
}
fn main() {
// let mut reg = bu::BasicRegister::new(bu::get_memory("your number"));
// let mut reg2 = bu::BasicRegister::new(bu::get_memory("your number"));
//
// println!("{reg}");
// println!("{reg2}");
// println!("{}", bu::binary_multiplication_method_1(reg, reg2))
input_handler();
}