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// Copyright © 2024 Mikhail Hogrefe
//
// This file is part of Malachite.
//
// Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU
// Lesser General Public License (LGPL) as published by the Free Software Foundation; either version
// 3 of the License, or (at your option) any later version. See <https://www.gnu.org/licenses/>.
use crate::num::basic::signeds::PrimitiveSigned;
use crate::num::basic::unsigneds::PrimitiveUnsigned;
use crate::num::conversion::traits::{ExactFrom, WrappingFrom};
use crate::num::logic::traits::BitIterable;
use core::cmp::min;
use core::cmp::Ordering::*;
use core::marker::PhantomData;
use core::ops::Index;
/// A double-ended iterator over the bits of an unsigned primitive integer.
///
/// This `struct` is created by [`BitIterable::bits`]; see its documentation for more.
#[derive(Clone, Copy, Debug, Eq, Hash, PartialEq)]
pub struct PrimitiveUnsignedBitIterator<T: PrimitiveUnsigned> {
pub(crate) value: T,
pub(crate) remaining: usize,
// If `n` is nonzero, this mask initially points to the least-significant bit, and is left-
// shifted by next().
pub(crate) i_mask: T,
// If `n` is nonzero, this mask initially points to the most-significant nonzero bit, and is
// right-shifted by next_back().
pub(crate) j_mask: T,
}
impl<T: PrimitiveUnsigned> Iterator for PrimitiveUnsignedBitIterator<T> {
type Item = bool;
fn next(&mut self) -> Option<bool> {
if self.remaining != 0 {
let bit = self.value & self.i_mask != T::ZERO;
self.i_mask <<= 1;
self.remaining -= 1;
Some(bit)
} else {
None
}
}
fn size_hint(&self) -> (usize, Option<usize>) {
(self.remaining, Some(self.remaining))
}
}
impl<T: PrimitiveUnsigned> DoubleEndedIterator for PrimitiveUnsignedBitIterator<T> {
fn next_back(&mut self) -> Option<bool> {
if self.remaining != 0 {
let bit = self.value & self.j_mask != T::ZERO;
self.j_mask >>= 1;
self.remaining -= 1;
Some(bit)
} else {
None
}
}
}
impl<T: PrimitiveUnsigned> ExactSizeIterator for PrimitiveUnsignedBitIterator<T> {}
impl<T: PrimitiveUnsigned> Index<u64> for PrimitiveUnsignedBitIterator<T> {
type Output = bool;
/// A function to retrieve bits by index.
///
/// The index is the power of 2 of which the bit is a coefficient. Indexing at or above the
/// significant bit count returns false bits.
///
/// This is equivalent to [`get_bit`](super::traits::BitAccess::get_bit).
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::logic::traits::BitIterable;
///
/// assert_eq!(0u8.bits()[0], false);
///
/// // 105 = 1101001b
/// let bits = 105u32.bits();
/// assert_eq!(bits[0], true);
/// assert_eq!(bits[1], false);
/// assert_eq!(bits[2], false);
/// assert_eq!(bits[3], true);
/// assert_eq!(bits[4], false);
/// assert_eq!(bits[5], true);
/// assert_eq!(bits[6], true);
/// assert_eq!(bits[7], false);
/// assert_eq!(bits[100], false);
/// ```
fn index(&self, index: u64) -> &bool {
if self.value.get_bit(index) {
&true
} else {
&false
}
}
}
fn bits_unsigned<T: PrimitiveUnsigned>(x: T) -> PrimitiveUnsignedBitIterator<T> {
let significant_bits = x.significant_bits();
PrimitiveUnsignedBitIterator {
value: x,
remaining: usize::exact_from(significant_bits),
i_mask: T::ONE,
j_mask: T::power_of_2(significant_bits.saturating_sub(1)),
}
}
macro_rules! impl_bit_iterable_unsigned {
($t:ident) => {
impl BitIterable for $t {
type BitIterator = PrimitiveUnsignedBitIterator<$t>;
/// Returns a double-ended iterator over the bits of an unsigned primitive integer.
///
/// The forward order is ascending, so that less significant bits appear first. There
/// are no trailing false bits going forward, or leading falses going backward.
///
/// If it's necessary to get a [`Vec`] of all the bits, consider using
/// [`to_bits_asc`](super::traits::BitConvertible::to_bits_asc) or
/// [`to_bits_desc`](super::traits::BitConvertible::to_bits_desc) instead.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// See [here](super::bit_iterable#bits).
#[inline]
fn bits(self) -> PrimitiveUnsignedBitIterator<$t> {
bits_unsigned(self)
}
}
};
}
apply_to_unsigneds!(impl_bit_iterable_unsigned);
/// A double-ended iterator over the bits of a signed primitive integer.
///
/// This `struct` is created by [`BitIterable::bits`]; see its documentation for more.
#[derive(Clone, Copy, Debug, Eq, Hash, PartialEq)]
pub struct PrimitiveSignedBitIterator<U: PrimitiveUnsigned, S: PrimitiveSigned> {
phantom: PhantomData<*const S>,
xs: PrimitiveUnsignedBitIterator<U>,
}
impl<U: PrimitiveUnsigned, S: PrimitiveSigned> Iterator for PrimitiveSignedBitIterator<U, S> {
type Item = bool;
#[inline]
fn next(&mut self) -> Option<bool> {
self.xs.next()
}
#[inline]
fn size_hint(&self) -> (usize, Option<usize>) {
self.xs.size_hint()
}
}
impl<U: PrimitiveUnsigned, S: PrimitiveSigned> DoubleEndedIterator
for PrimitiveSignedBitIterator<U, S>
{
#[inline]
fn next_back(&mut self) -> Option<bool> {
self.xs.next_back()
}
}
impl<U: PrimitiveUnsigned, S: PrimitiveSigned> ExactSizeIterator
for PrimitiveSignedBitIterator<U, S>
{
}
impl<U: PrimitiveUnsigned, S: PrimitiveSigned> Index<u64> for PrimitiveSignedBitIterator<U, S> {
type Output = bool;
/// A function to retrieve bits by index. The index is the power of 2 of which the bit is a
/// coefficient.
///
/// Indexing at or above the significant bit count returns false or true bits, depending on the
/// value's sign.
///
/// This is equivalent to [`get_bit`](super::traits::BitAccess::get_bit).
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::logic::traits::BitIterable;
///
/// assert_eq!(0i8.bits()[0], false);
///
/// // -105 = 10010111 in two's complement
/// let bits = (-105i32).bits();
/// assert_eq!(bits[0], true);
/// assert_eq!(bits[1], true);
/// assert_eq!(bits[2], true);
/// assert_eq!(bits[3], false);
/// assert_eq!(bits[4], true);
/// assert_eq!(bits[5], false);
/// assert_eq!(bits[6], false);
/// assert_eq!(bits[7], true);
/// assert_eq!(bits[100], true);
/// ```
fn index(&self, index: u64) -> &bool {
if self.xs[min(index, U::WIDTH - 1)] {
&true
} else {
&false
}
}
}
fn bits_signed<U: PrimitiveUnsigned + WrappingFrom<S>, S: PrimitiveSigned>(
x: S,
) -> PrimitiveSignedBitIterator<U, S> {
let unsigned = U::wrapping_from(x);
let significant_bits = match x.sign() {
Equal => 0,
Greater => unsigned.significant_bits() + 1,
Less => (!unsigned).significant_bits() + 1,
};
PrimitiveSignedBitIterator {
phantom: PhantomData,
xs: PrimitiveUnsignedBitIterator {
value: unsigned,
remaining: usize::exact_from(significant_bits),
i_mask: U::ONE,
j_mask: U::power_of_2(significant_bits.saturating_sub(1)),
},
}
}
macro_rules! impl_bit_iterable_signed {
($u:ident, $s:ident) => {
impl BitIterable for $s {
type BitIterator = PrimitiveSignedBitIterator<$u, $s>;
/// Returns a double-ended iterator over the bits of a signed primitive integer.
///
/// The forward order is ascending, so that less significant bits appear first. There
/// are no trailing sign bits going forward, or leading sign bits going backward.
///
/// If it's necessary to get a [`Vec`] of all the bits, consider using
/// [`to_bits_asc`](super::traits::BitConvertible::to_bits_asc) or
/// [`to_bits_desc`](super::traits::BitConvertible::to_bits_desc) instead.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// See [here](super::bit_iterable#bits).
#[inline]
fn bits(self) -> PrimitiveSignedBitIterator<$u, $s> {
bits_signed::<$u, $s>(self)
}
}
};
}
apply_to_unsigned_signed_pairs!(impl_bit_iterable_signed);