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bitarray.hh
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bitarray.hh
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#include <cstring>
#include <array>
#include <vector>
#include <span>
#include <cstdint>
#include <limits>
#include <iostream>
#include <immintrin.h>
#include <bit>
#include <stdexcept>
#include <algorithm>
namespace {
template<typename T>
T pext(T data, T mask) {
if constexpr (sizeof(T) <= 4) {
return _pext_u32(data, mask);
} else if (sizeof(T) <= 8) {
return _pext_u64(data, mask);
} else if (sizeof(T) <= 16) {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wshift-count-overflow"
T out0 = _pext_u64(data, mask);
T out1 = _pext_u64(data >> 64, mask >> 64);
return out0 | (out1 << std::popcount(static_cast<uint64_t>(mask)));
#pragma GCC diagnostic pop
}
}
template<typename T>
T pdep(T data, T mask) {
if constexpr (sizeof(T) <= 4) {
return _pdep_u32(data, mask);
} else if (sizeof(T) <= 8) {
return _pdep_u64(data, mask);
} else if (sizeof(T) <= 16) {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wshift-count-overflow"
T out0 = _pdep_u64(data, mask);
T out1 = _pdep_u64(data >> std::popcount(static_cast<uint64_t>(mask)), mask >> 64);
return out0 | (out1 << 64);
#pragma GCC diagnostic pop
}
}
}
namespace bitarray {
inline constexpr size_t match_underlying = -1;
template <
size_t Bits = match_underlying,
typename WordType = size_t,
typename Container = std::array<WordType, 1 + (Bits - 1) / std::numeric_limits<WordType>::digits>
>
requires (std::numeric_limits<WordType>::is_integer && !std::numeric_limits<WordType>::is_signed)
struct bitarray {
using self_type = bitarray<Bits, WordType, Container>;
static constexpr size_t WordBits = std::numeric_limits<WordType>::digits;
Container data {};
size_t _size = 0;
constexpr size_t infer_size() {
if constexpr (Bits == match_underlying) {
return data.size() * WordBits;
} else {
return Bits;
}
}
constexpr size_t size() const {
if constexpr (Bits == match_underlying) {
return data.size() * WordBits;
} else {
return _size;
}
}
void resize(size_t s) {
if constexpr (Bits == match_underlying) {
throw std::runtime_error{"trying to resize a bitarray with match_underlying = true"};
} else {
data.resize(s / WordBits);
_size = s;
}
}
bitarray(const self_type& other):
//TODO add ctor for mismatching word types
data{other.data},
_size{infer_size()}
{}
self_type& operator=(const self_type& other) {
data = other.data;
_size = infer_size();
return *this;
}
bitarray(Container c):
data{c},
_size{infer_size()}
{}
template<typename ...Ts>
requires (std::integral<Ts> && ...)
bitarray(Ts... ts):
data{static_cast<WordType>(ts)...},
_size{infer_size()}
{}
bitarray():
data{},
_size{infer_size()}
{}
template <class CharT, class Traits>
friend std::basic_ostream<CharT, Traits>& operator<<(std::basic_ostream<CharT, Traits>& os, const self_type& x) {
int base_digits = 0;
if (os.flags() & std::ios_base::dec) {
base_digits = 1; //XXX this is a hack, rather than default to decimal, we default to binary
os << "0b";
} else if (os.flags() & std::ios_base::oct) {
base_digits = 3;
os << "0o";
} else if (os.flags() & std::ios_base::hex) {
base_digits = 4;
os << "0x";
}
for (ssize_t i = x.size(); i -= base_digits;) {
unsigned char digit = 0;
for (int j = 0; j < base_digits; j++) {
digit <<= 1;
digit += x[i + j];
}
os << std::to_string(digit);
}
return os;
}
private:
constexpr WordType zero() const {
return static_cast<WordType>(0);
}
constexpr WordType one() const {
return static_cast<WordType>(1);
}
constexpr WordType ones() const {
return ~static_cast<WordType>(0);
}
void sanitize() {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wshift-count-overflow"
if (size() % WordBits != 0) {
data.back() &= ones() >> (WordBits - size() % WordBits);
}
#pragma GCC diagnostic pop
}
public:
bool all() const {
if (size() % WordBits == 0) {
for (size_t i = 0; i < data.size(); i++)
if (data[i] != ones())
return false;
} else {
if (data.back() != ones() >> (WordBits - size() % WordBits))
return false;
for (size_t i = 0; i + 1 < data.size(); i++)
if (data[i] != ones())
return false;
}
return true;
}
bool any() const {
for (auto& x: data)
if (x != 0)
return true;
return false;
}
bool none() const {
for (auto& x: data)
if (x != 0)
return false;
return true;
}
int count() const {
int count = 0;
for (auto& x: data)
if constexpr (sizeof(WordType) <= 8) {
count += std::popcount(x);
} else if (sizeof(WordType) <= 16) {
count += std::popcount(static_cast<uint64_t>(x >> 64)) + std::popcount(static_cast<uint64_t>(x));
}
return count;
}
bool has_single_bit() const {
return count() == 1;
}
int countr_zero() const {
for (size_t i = 0; i < data.size(); i++)
if (data[i] != 0)
return i * WordBits + std::countr_zero(data[i]);
return size();
}
int countr_one() const {
for (size_t i = 0; i < data.size(); i++)
if (data[i] != ones())
return i * WordBits + std::countr_one(data[i]);
return size();
}
int countl_zero() const {
for (size_t i = data.size(); i--;)
if (data[i] != 0)
return size() - i * WordBits - (WordBits - std::countl_zero(data[i]));
return size();
}
int countl_one() {
//XXX this doesn't seem like the best way
return (~*this).countl_zero();
}
int bit_width() {
return size() - countl_zero();
}
self_type bit_floor() {
if (any())
return self_type{1} << (bit_width() - 1);
return 0;
}
self_type bit_ceil() {
//TODO
}
void wordswap() {
std::reverse(data.begin(), data.end());
}
void byteswap() {
wordswap();
for (auto& x: data) {
//std::byteswap(x);
}
}
void bitswap() {
byteswap();
//TODO bitswap
}
void set() {
for (auto& x: data)
x = ones();
sanitize();
}
constexpr void set(size_t pos, bool value = true) {
if (pos >= size()) {
throw std::out_of_range{"set() called with pos " + std::to_string(pos) + " on bitset of size " + std::to_string(size())};
}
if (value) {
data[pos / WordBits] |= one() << (pos % WordBits);
} else {
data[pos / WordBits] &= ~(one() << (pos % WordBits));
}
}
void reset() {
for (auto& x: data)
x = zero();
}
void reset(size_t pos) {
if (pos >= size()) {
throw std::out_of_range{"reset() called with pos " + std::to_string(pos) + " on bitset of size " + std::to_string(size())};
}
data[pos / WordBits] &= ~(one() << (pos % WordBits));
}
void flip() {
for (auto& x: data)
x = ~x;
sanitize();
}
void flip(size_t pos) {
if (pos >= size()) {
throw std::out_of_range{"flip() called with pos " + std::to_string(pos) + " on bitset of size " + std::to_string(size())};
}
data[pos / WordBits] ^= one() << (pos % WordBits);
}
void set_word_at_pos(WordType x, size_t pos) {
if (pos >= size()) {
throw std::out_of_range{"set_word_at_pos() called with pos " + std::to_string(pos) + " on bitset of size " + std::to_string(size())};
}
size_t offset = pos % WordBits;
data[pos / WordBits] |= x << offset;
if (offset != 0 && pos / WordBits + 1 < data.size()) {
data[pos / WordBits + 1] |= x >> (WordBits - offset);
}
}
WordType get_word_at_pos(size_t pos) const {
if (pos >= size()) {
throw std::out_of_range{"get_word_at_pos() called with pos " + std::to_string(pos) + " on bitset of size " + std::to_string(size())};
}
size_t offset = pos % WordBits;
WordType out = data[pos / WordBits] >> offset;
if (offset != 0 && pos / WordBits + 1 < data.size()) {
out |= data[pos / WordBits + 1] << (WordBits - offset);
}
return out;
}
bool operator==(const self_type& rhs) const {
for (size_t i = 0; i < data.size(); i++)
if (data[i] != rhs.data[i])
return false;
return true;
}
bool operator!=(const self_type& rhs) const {
return !(*this == rhs);
}
constexpr bool at(size_t pos) const {
if (pos >= size()) {
throw std::out_of_range{"at() called with pos " + std::to_string(pos) + " on bitset of size " + std::to_string(size())};
}
return *this[pos];
}
constexpr bool operator[](size_t pos) const {
return static_cast<bool>((data[pos / WordBits] >> (pos % WordBits)) & 1);
}
self_type operator~() const {
self_type v = *this;
v.flip();
return v;
}
void operator&=(const self_type& rhs) {
for (size_t i = 0; i < data.size(); i++)
data[i] &= rhs.data[i];
}
void operator|=(const self_type& rhs) {
for (size_t i = 0; i < data.size(); i++)
data[i] |= rhs.data[i];
}
void operator^=(const self_type& rhs) {
for (size_t i = 0; i < data.size(); i++)
data[i] ^= rhs.data[i];
sanitize();
}
self_type operator&(const self_type& rhs) const {
self_type x = *this;
x &= rhs;
return x;
}
self_type operator|(const self_type& rhs) const {
self_type x = *this;
x |= rhs;
return x;
}
self_type operator^(const self_type& rhs) const {
self_type x = *this;
x ^= rhs;
return x;
}
self_type operator<<(size_t shift) const {
self_type x{};
for (size_t pos = shift, i = 0; pos < size() && i < data.size(); pos += WordBits, i++) {
x.set_word_at_pos(data[i], pos);
}
return x;
}
self_type operator<<=(size_t shift) {
self_type x{};
for (size_t pos = shift, i = 0; pos < size() && i < data.size(); pos += WordBits, i++) {
x.set_word_at_pos(data[i], pos);
}
*this = x;
return *this;
}
self_type operator>>(size_t shift) const {
self_type x = *this;
x >>= shift;
return x;
}
self_type operator>>=(size_t shift) {
size_t i = 0;
for (size_t pos = shift; pos < size() && i < data.size(); pos += WordBits, i++) {
data[i] = get_word_at_pos(pos);
}
for (; i < data.size(); i++) {
data[i] = 0;
}
return *this;
}
self_type rotl(int shift) {
if (shift < 0) {
return rotr(-shift);
}
shift %= size();
return (*this << shift) | (*this >> (size() - shift));
}
self_type rotr(int shift) {
if (shift < 0) {
return rotl(-shift);
}
shift %= size();
return (*this >> shift) | (*this << (size() - shift));
}
template<size_t M, size_t O = M>
bitarray<O, WordType> gather(bitarray<M, WordType> mask) {
if (M > size()) {
throw std::out_of_range{"gather operation mask length must be <= input length"};
}
bitarray<O, WordType> output {};
for (size_t i = 0, pos = 0; i < mask.data.size(); i++) {
output.set_word_at_pos(pext(
data[i],
mask.data[i]
), pos);
pos += std::popcount(mask.data[i]);
}
return output;
}
template<size_t M>
bitarray<M, WordType> scatter(bitarray<M, WordType> mask) {
if (M < size()) {
throw std::out_of_range{"scatter operation mask length must be >= input length"};
}
bitarray<M, WordType> output {};
for (size_t i = 0, pos = 0; i < output.data.size(); i++) {
output.data[i] = pdep(
get_word_at_pos(pos),
mask.data[i]
);
pos += std::popcount(mask.data[i]);
}
return output;
}
template<size_t Len, size_t Num>
static constexpr std::array<bitarray<Len>, Num> interleave_masks() {
std::array<bitarray<Len>, Num> x{};
for (size_t i = 0; i < Num; i++) {
for (size_t j = i; j < Len; j += Num) {
x[i].set(j);
}
}
return x;
}
template<size_t Len, size_t Num>
static bitarray<Len * Num> interleave(std::array<bitarray<Len>, Num> input) {
bitarray<Len * Num> output {};
std::array<bitarray<Len * Num>, Num> masks = interleave_masks<Len * Num, Num>();
for (size_t j = 0; j < input.size(); j++) {
output |= input[j].template scatter<Len * Num>(masks[j]);
}
return output;
}
template<size_t Len, size_t Num>
static std::array<bitarray<Len>, Num> deinterleave(bitarray<Len * Num> input) {
std::array<bitarray<Len>, Num> output {};
std::array<bitarray<Len * Num>, Num> masks = interleave_masks<Len * Num, Num>();
for (size_t j = 0; j < output.size(); j++) {
output[j] = input.template gather<Len * Num, Len>(masks[j]);
}
return output;
}
};
template<typename T, size_t S>
bitarray(std::array<T, S>) -> bitarray<std::numeric_limits<T>::digits * S, T, std::array<T, S>>;
template<typename T>
bitarray(std::vector<T>) -> bitarray<match_underlying, T, std::vector<T>>;
template<typename T>
bitarray(std::span<T, std::dynamic_extent>) -> bitarray<match_underlying, T, std::span<T, std::dynamic_extent>>;
template<typename T, size_t S>
bitarray(std::span<T, S>) -> bitarray<std::numeric_limits<T>::digits * S, T, std::span<T, S>>;
}