/
board.h
1326 lines (1238 loc) · 50.4 KB
/
board.h
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//============================================================================
// Name : moporgic/TDL2048+ - board.h
// Author : Hung Guei @ moporgic
// Version : 6.6
// Description : The Most Effective Bitboard Implementation for 2048
//============================================================================
#pragma once
#include "moporgic/type.h"
#include "moporgic/util.h"
#include "moporgic/math.h"
namespace moporgic {
class board {
private:
u64 raw;
u16 ext;
u16 opt;
u32 inf;
public:
inline constexpr board(u64 raw = 0, u16 ext = 0, u32 inf = 0) : raw(raw), ext(ext), opt(), inf(inf) {}
inline constexpr board(u64 raw, u16 ext, u16 opt, u32 inf) : raw(raw), ext(ext), opt(opt), inf(inf) {}
inline constexpr board(const u128& x) : board(u64(x), u16(x >> 64), u16(x >> 80), u32(x >> 96)) {}
inline constexpr board(const board& b) = default;
template<typename type, typename = enable_if_is_base_of<board, type>>
inline constexpr board(const type& x) : board(raw_cast<board>(x)) {}
template<typename type, typename = enable_if_not_is_base_of<board, type>, typename = enable_if_is_convertible<type, u64>>
inline constexpr board(const type& x) : board(u64(x)) {}
inline constexpr operator u64&() { return raw; }
inline constexpr operator u64() const { return raw; }
inline constexpr explicit operator u128() const { return u128(raw) | (u128(ext) << 64) | (u128(opt) << 80) | (u128(inf) << 96); }
inline constexpr board& operator =(u64 x) { raw = x; ext = 0; return *this; }
inline constexpr board& operator =(const u128& x) { return operator =(board(x)); }
inline constexpr board& operator =(const board& b) = default;
template<typename type, typename = enable_if_is_base_of<board, type>>
inline constexpr board& operator =(const type& x) { return operator =(raw_cast<board>(x)); }
template<typename type, typename = enable_if_not_is_base_of<board, type>, typename = enable_if_is_convertible<type, u64>>
inline constexpr board& operator =(const type& x) { return operator =(u64(x)); }
declare_comparators(const board&, operator u128(), inline constexpr)
inline constexpr void set(u64 x, u16 e = 0) { raw = x; ext = e; }
inline constexpr void set(const u128& x) { set(u64(x), u16(x >> 64)); }
inline constexpr void set(const board& b) { set(b.raw, b.ext); }
template<typename type, typename = enable_if_is_base_of<board, type>>
inline constexpr void set(const type& x) { set(raw_cast<board>(x)); }
template<typename type, typename = enable_if_not_is_base_of<board, type>, typename = enable_if_is_convertible<type, u64>>
inline constexpr void set(const type& x) { set(u64(x), 0); }
public:
class cache {
public:
static inline const cache& load(u32 i) {
static byte block[sizeof(cache) * (1 << 20)] = {};
return pointer_cast<cache>(block)[i];
}
static __attribute__((constructor)) void make() {
for (u32 i = 0; i < (1 << 20); i++) new (const_cast<cache*>(&load(i))) cache(i);
}
public:
cache(const cache& c) = default;
cache(u32 src) : raw(src & 0xffffu), ext(src >> 16) {
std::array<u32, 4> row;
for (u32 i = 0; i < 4; i++) {
u32 t = row[i] = ((src >> (i << 2)) & 0x0f) | ((src >> (i + 12)) & 0x10);
species |= (1 << t);
numof[t] += 1;
}
u32 cmp[6][2] = {{0, 1}, {0, 2}, {0, 3}, {1, 2}, {1, 3}, {2, 3}};
for (u32 i = 0; i < 6; i++) {
u32 t0 = row[cmp[i][0]], t1 = row[cmp[i][1]];
mono |= ((t0 | t1) ? ((t0 >= t1) | ((t1 >= t0) << 1)) : 0) << (i << 1);
}
auto res_l = slide(row, src, +1);
auto res_r = slide(row, src, -1);
mvl = std::get<0>(res_l);
mvr = std::get<0>(res_r);
score = std::get<1>(res_l);
merge = std::get<2>(res_l);
moved = (mvl.moved | mvr.moved);
legal = (mvl.moved & 0b1001) | (mvr.moved & 0b0110);
}
class move {
public:
move() : rawh(), exth(), moved(), extv(), rawv() {}
move(const std::array<u32, 4>& row, u32 src) {
u32 lo[] = { (row[0] & 0x0f), (row[1] & 0x0f), (row[2] & 0x0f), (row[3] & 0x0f) };
u32 hi[] = { (row[0] & 0x10) >> 4, (row[1] & 0x10) >> 4, (row[2] & 0x10) >> 4, (row[3] & 0x10) >> 4 };
rawh = ( (lo[0] << 0) | ( lo[1] << 4) | ( lo[2] << 8) | ( lo[3] << 12) );
exth = ( (hi[0] << 0) | ( hi[1] << 1) | ( hi[2] << 2) | ( hi[3] << 3) );
rawv = ( (u64(lo[0]) << 0) | (u64(lo[1]) << 16) | (u64(lo[2]) << 32) | (u64(lo[3]) << 48) );
extv = ( (hi[0] << 0) | ( hi[1] << 4) | ( hi[2] << 8) | ( hi[3] << 12) );
moved = ( (u32(rawh) | (u32(exth) << 16)) != src) ? -1 : 0;
}
template<int i> inline void moveh64(board& mv) const {
mv.raw |= u64(rawh) << (i << 4);
}
template<int i> inline void moveh80(board& mv) const {
mv.raw |= u64(rawh) << (i << 4);
mv.ext |= u16(exth) << (i << 2);
}
template<int i> inline void movev64(board& mv) const {
mv.raw |= u64(rawv) << (i << 2);
}
template<int i> inline void movev80(board& mv) const {
mv.raw |= u64(rawv) << (i << 2);
mv.ext |= u16(extv) << (i);
}
public:
u16 rawh; // horizontal move (16-bit raw)
u8 exth; // horizontal move (4-bit extra)
i8 moved; // moved (-1) or not (0)
u16 extv; // vertical move (16-bit extra)
u64 rawv; // vertical move (64-bit raw)
};
protected:
std::tuple<move, u32, u32> slide(std::array<u32, 4> row, u32 src, int step = 1) const {
u32 score = 0, merge = 0;
u32 idx[4] = {0, 1, 2, 3};
if (step == -1) std::reverse(idx, idx + 4);
u32 top = idx[0], hold = 0;
for (u32 i : idx) {
u32 tile = row[i];
if (tile == 0) continue;
row[i] = 0;
if (hold) {
if (tile == hold) {
hold = ++tile;
score += (1 << tile);
merge++;
tile = 0;
}
row[top] = hold;
top += step;
}
hold = tile;
}
row[top] = hold;
return {move(row, src), score, merge};
}
public:
template<u32 op, u32 i> inline void move64(board& mv) const {
switch (op) {
case action::up: mvl.movev64<i>(mv); mv.inf += score; break;
case action::right: mvr.moveh64<i>(mv); mv.inf += score; break;
case action::down: mvr.movev64<i>(mv); mv.inf += score; break;
case action::left: mvl.moveh64<i>(mv); mv.inf += score; break;
}
}
template<u32 op, u32 i> inline void move80(board& mv) const {
switch (op) {
case action::up: mvl.movev80<i>(mv); mv.inf += score; break;
case action::right: mvr.moveh80<i>(mv); mv.inf += score; break;
case action::down: mvr.movev80<i>(mv); mv.inf += score; break;
case action::left: mvl.moveh80<i>(mv); mv.inf += score; break;
}
}
template<int i> inline void moveh64(board& L, board& R) const {
move64<action::left, i>(L);
move64<action::right, i>(R);
}
template<int i> inline void moveh80(board& L, board& R) const {
move80<action::left, i>(L);
move80<action::right, i>(R);
}
template<int i> inline void movev64(board& U, board& D) const {
move64<action::up, i>(U);
move64<action::down, i>(D);
}
template<int i> inline void movev80(board& U, board& D) const {
move80<action::up, i>(U);
move80<action::down, i>(D);
}
public:
u16 raw; // 16-bit raw of this row
u8 ext; // 4-bit extra of this row
u8 legal; // legal actions (4-bit)
u32 species; // species of this row
hexa numof; // number of each tile-type
move mvl; // LUT for moving left/up
move mvr; // LUT for moving right/down
u32 score; // merge score (reward)
u8 merge; // number of merged tiles
i8 moved; // moved (-1) or not (0)
u16 mono; // cell relationship (12-bit)
};
inline const cache& qrow(u32 i) const { return qrow16(i); }
inline const cache& qrow16(u32 i) const { return cache::load(row16(i)); }
inline const cache& qrow20(u32 i) const { return cache::load(row20(i)); }
inline const cache& qcol(u32 i) const { return qcol16(i); }
inline const cache& qcol16(u32 i) const { return cache::load(col16(i)); }
inline const cache& qcol20(u32 i) const { return cache::load(col20(i)); }
inline constexpr u32 row(u32 i) const { return row16(i); }
inline constexpr u32 row16(u32 i) const {
return u32(raw >> (i << 4)) & 0xffff;
}
inline constexpr u32 row20(u32 i) const {
return row16(i) | ((u32(ext >> (i << 2)) << 16) & 0xf0000);
}
inline constexpr void row(u32 i, u32 r) { row16(i, r); }
inline constexpr void row16(u32 i, u32 r) {
raw = (raw & ~(0xffffull << (i << 4))) | (u64(r) << (i << 4));
}
inline constexpr void row20(u32 i, u32 r) {
row16(i, r & 0xffff);
ext = (ext & ~(0x000f << (i << 2))) | ((r >> 16) << (i << 2));
}
inline constexpr u32 col(u32 i) const { return col16(i); }
inline constexpr u32 col16(u32 i) const {
#if defined(__BMI2__) && !defined(PREFER_LEGACY_COL)
return math::pext64(raw, 0x000f000f000f000full << (i << 2));
#else
return ((raw >> (i << 2)) & 0x000f000f000f000full) * 0x0001001001001000ull >> 48;
#endif
}
inline constexpr u32 col20(u32 i) const {
#if defined(__BMI2__) && !defined(PREFER_LEGACY_COL)
return col16(i) | (math::pext32(ext, 0x1111u << i) << 16);
#else
return col16(i) | ((((ext >> i) & 0x1111u) * 0x12480u) & 0xf0000u);
#endif
}
inline constexpr void col(u32 i, u32 c) { col16(i, c); }
inline constexpr void col16(u32 i, u32 c) {
u64 m = 0x000f000f000f000full << (i << 2);
#if defined(__BMI2__) && !defined(PREFER_LEGACY_COL)
raw = (raw & ~m) | math::pdep64(c, m);
#else
u64 x = u64(c) | (u64(c) << 12) | (u64(c) << 24) | (u64(c) << 36);
raw = (raw & ~m) | ((x & 0x000f000f000f000full) << (i << 2));
#endif
}
inline constexpr void col20(u32 i, u32 c) {
col16(i, c & 0xffff);
u32 m = 0x1111u << i;
#if defined(__BMI2__) && !defined(PREFER_LEGACY_COL)
ext = (ext & ~m) | math::pdep32(c >> 16, m);
#else
u32 e = c >> 16;
u32 x = e | (e << 3) | (e << 6) | (e << 9);
ext = (ext & ~m) | ((x & 0x1111u) << i);
#endif
}
inline constexpr u32 at(u32 i) const { return at4(i); }
inline constexpr u32 at4(u32 i) const {
return (raw >> (i << 2)) & 0x0f;
}
inline constexpr u32 at5(u32 i) const {
return at4(i) | ((ext >> i << 4) & 0x10);
}
inline constexpr void at(u32 i, u32 t) { at4(i, t); }
inline constexpr void at4(u32 i, u32 t) {
raw = (raw & ~(0x0full << (i << 2))) | (u64(t) << (i << 2));
}
inline constexpr void at5(u32 i, u32 t) {
at4(i, t & 0x0f);
ext = (ext & ~(1 << i)) | (t >> 4 << i);
}
inline constexpr u32 exact(u32 i) const { return exact4(i); }
inline constexpr u32 exact4(u32 i) const { return (1u << at4(i)) & 0xfffffffeu; }
inline constexpr u32 exact5(u32 i) const { return (1u << at5(i)) & 0xfffffffeu; }
inline constexpr void exact(u32 i, u32 t) { exact4(i, t); }
inline constexpr void exact4(u32 i, u32 t) { at4(i, math::log2(t | 1u)); }
inline constexpr void exact5(u32 i, u32 t) { at5(i, math::log2(t | 1u)); }
inline constexpr u32 fat(u32 i) const { return opts(style::extend) ? fat5(i) : fat4(i); }
inline constexpr u32 fat4(u32 i) const { return opts(style::exact) ? exact4(i) : at4(i); }
inline constexpr u32 fat5(u32 i) const { return opts(style::exact) ? exact5(i) : at5(i); }
inline constexpr void fat(u32 i, u32 t) { return opts(style::extend) ? fat5(i, t) : fat4(i, t); }
inline constexpr void fat4(u32 i, u32 t) { return opts(style::exact) ? exact4(i, t) : at4(i, t); }
inline constexpr void fat5(u32 i, u32 t) { return opts(style::exact) ? exact5(i, t) : at5(i, t); }
inline constexpr void put(u64 where, u32 t) { return put64(where, t); }
inline constexpr void put64(u64 where, u32 t) {
raw = (raw & ~(where * 0x0full)) | (where * t);
}
inline constexpr void put80(u64 where, u32 t) {
put64(where, t & 0x0f);
#if defined(__BMI2__) && !defined(PREFER_LEGACY_PUT)
u32 mask = math::pext64(where, 0x1111111111111111ull);
#else
where |= where >> 3;
where |= where >> 6;
where &= 0x000f000f000f000full;
where |= where >> 12;
where |= where >> 24;
u32 mask = where & 0xffffu;
#endif
ext = (ext ^ (ext & mask)) | (t & 0x10 ? mask : 0);
}
inline constexpr void put(u16 mask, u32 t) { return put64(mask, t); }
inline constexpr void put64(u16 mask, u32 t) {
#if defined(__BMI2__) && !defined(PREFER_LEGACY_PUT)
u64 where = math::pdep64(mask, 0x1111111111111111ull);
#else
u64 where = mask;
where |= where << 24;
where |= where << 12;
where &= 0x000f000f000f000full;
where |= where << 6;
where |= where << 3;
where &= 0x1111111111111111ull;
#endif
return put64(where, t);
}
inline constexpr void put80(u16 mask, u32 t) {
put64(mask, t & 0x0f);
ext = (ext ^ (ext & mask)) | (t & 0x10 ? mask : 0);
}
inline constexpr void mirror() { mirror64(); }
inline constexpr void mirror64() {
raw = ((raw & 0x000f000f000f000full) << 12) | ((raw & 0x00f000f000f000f0ull) << 4)
| ((raw & 0x0f000f000f000f00ull) >> 4) | ((raw & 0xf000f000f000f000ull) >> 12);
}
inline constexpr void mirror80() {
mirror64();
ext = ((ext & 0x1111) << 3) | ((ext & 0x2222) << 1)
| ((ext & 0x4444) >> 1) | ((ext & 0x8888) >> 3);
}
inline constexpr void flip() { flip64(); }
inline constexpr void flip64() {
u64 buf = (raw ^ math::rol64(raw, 16)) & 0x0000ffff0000ffffull;
raw ^= (buf | math::ror64(buf, 16));
}
inline constexpr void flip80() {
flip64();
u16 buf = (ext ^ math::rol16(ext, 4)) & 0x0f0fu;
ext ^= (buf | math::ror16(buf, 4));
}
inline constexpr void transpose() { transpose64(); }
inline constexpr void transpose64() {
#if defined(__BMI2__) && !defined(PREFER_LEGACY_TRANSPOSE)
raw = (math::pext64(raw, 0x000f000f000f000full) << 0) | (math::pext64(raw, 0x00f000f000f000f0ull) << 16)
| (math::pext64(raw, 0x0f000f000f000f00ull) << 32) | (math::pext64(raw, 0xf000f000f000f000ull) << 48);
#else
u64 buf = 0;
buf = (raw ^ (raw >> 12)) & 0x0000f0f00000f0f0ull;
raw ^= buf ^ (buf << 12);
buf = (raw ^ (raw >> 24)) & 0x00000000ff00ff00ull;
raw ^= buf ^ (buf << 24);
#endif
}
inline constexpr void transpose80() {
transpose64();
#if defined(__BMI2__) && !defined(PREFER_LEGACY_TRANSPOSE)
ext = (math::pext32(ext, 0x1111u) << 0) | (math::pext32(ext, 0x2222u) << 4)
| (math::pext32(ext, 0x4444u) << 8) | (math::pext32(ext, 0x8888u) << 12);
#else
u16 buf = 0;
buf = (ext ^ (ext >> 3)) & 0x0a0a;
ext ^= buf ^ (buf << 3);
buf = (ext ^ (ext >> 6)) & 0x00cc;
ext ^= buf ^ (buf << 6);
#endif
}
inline constexpr void rotate(u32 r = 1) { rotate64(r); }
inline constexpr void rotate64(u32 r = 1) {
switch (r % 4) {
case 0: break;
case 1: flip64(); transpose64(); break;
case 2: mirror64(); flip64(); break;
case 3: transpose64(); flip64(); break;
}
}
inline constexpr void rotate80(u32 r = 1) {
switch (r % 4) {
case 0: break;
case 1: flip80(); transpose80(); break;
case 2: mirror80(); flip80(); break;
case 3: transpose80(); flip80(); break;
}
}
inline constexpr void isom(u32 i = 0) { return isom64(i); }
inline constexpr void isom64(u32 i = 0) {
if (i & 4) flip64();
rotate64(i);
}
inline constexpr void isom80(u32 i = 0) {
if (i & 4) flip80();
rotate80(i);
}
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline constexpr void isoms(btype iso[]) const { isoms64(iso); }
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline constexpr void isoms64(btype iso[]) const {
iso[5] = *this; iso[0] = iso[5];
iso[5].flip64(); iso[4] = iso[5];
iso[5].transpose64(); iso[1] = iso[5];
iso[5].flip64(); iso[7] = iso[5];
iso[5].transpose64(); iso[2] = iso[5];
iso[5].flip64(); iso[6] = iso[5];
iso[5].transpose64(); iso[3] = iso[5];
iso[5].flip64();
}
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline constexpr void isoms80(btype iso[]) const {
iso[5] = *this; iso[0] = iso[5];
iso[5].flip80(); iso[4] = iso[5];
iso[5].transpose80(); iso[1] = iso[5];
iso[5].flip80(); iso[7] = iso[5];
iso[5].transpose80(); iso[2] = iso[5];
iso[5].flip80(); iso[6] = iso[5];
iso[5].transpose80(); iso[3] = iso[5];
iso[5].flip80();
}
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline constexpr std::array<btype, 8> isoms() const { return isoms64(); }
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline constexpr std::array<btype, 8> isoms64() const { std::array<btype, 8> iso; isoms64(iso.data()); return iso; }
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline constexpr std::array<btype, 8> isoms80() const { std::array<btype, 8> iso; isoms80(iso.data()); return iso; }
inline constexpr u32 empty() const { return empty64(); }
inline constexpr u32 empty64() const { return count64(0); }
inline constexpr u32 empty80() const { return count80(0); }
inline constexpr nthit spaces() const { return spaces64(); }
inline constexpr nthit spaces64() const { return find64(0); }
inline constexpr nthit spaces80() const { return find80(0); }
inline void init() {
u32 u = moporgic::rand();
u32 k = (u & 0xffff);
u32 i = (k) % 16;
u32 j = (i + 1 + (k >> 4) % 15) % 16;
u32 r = (u >> 16) % 100;
raw = ((r >= 1 ? 1ull : 2ull) << (i << 2))
| ((r >= 19 ? 1ull : 2ull) << (j << 2));
ext = 0;
}
inline void next() { return next64(); }
inline void next64() {
u64 x = where64(0);
u32 e = math::popcnt64(x);
u32 u = moporgic::rand();
#if defined(__BMI2__) && !defined(PREFER_LEGACY_NEXT)
u64 t = math::lsb64(x, (u >> 16) % e);
#else
u32 k = (u >> 16) % e;
while (k--) x &= x - 1;
u64 t = x & -x;
#endif
raw |= (t << (u % 10 ? 0 : 1));
}
inline void next80() {
u64 x = where80(0);
u32 e = math::popcnt64(x);
u32 u = moporgic::rand();
#if defined(__BMI2__) && !defined(PREFER_LEGACY_NEXT)
u64 t = math::lsb64(x, (u >> 16) % e);
#else
u32 k = (u >> 16) % e;
while (k--) x &= x - 1;
u64 t = x & -x;
#endif
raw |= (t << (u % 10 ? 0 : 1));
}
inline bool popup() { return popup64(); }
inline bool popup64() { return empty64() ? next64(), true : false; }
inline bool popup80() { return empty80() ? next80(), true : false; }
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline constexpr u32 popups(btype popup[]) const { return popups64(popup); }
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline constexpr u32 popups64(btype popup[]) const {
u32 i = 0;
u64 x = where64(0);
for (u64 t = 0; (t = x & -x) != 0; x ^= t) {
popup[i++] = board(raw | (t << 0), ext);
popup[i++] = board(raw | (t << 1), ext);
}
return i;
}
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline constexpr u32 popups80(btype popup[]) const {
u32 i = 0;
u64 x = where80(0);
for (u64 t = 0; (t = x & -x) != 0; x ^= t) {
popup[i++] = board(raw | (t << 0), ext);
popup[i++] = board(raw | (t << 1), ext);
}
return i;
}
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline constexpr std::vector<btype> popups() const { std::vector<btype> popup(empty() * 2); popups(popup.data()); return popup; }
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline constexpr std::vector<btype> popups64() const { std::vector<btype> popup(empty64() * 2); popups64(popup.data()); return popup; }
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline constexpr std::vector<btype> popups80() const { std::vector<btype> popup(empty80() * 2); popups80(popup.data()); return popup; }
inline i32 left() { return left64(); }
inline i32 right() { return right64(); }
inline i32 up() { return up64(); }
inline i32 down() { return down64(); }
inline i32 left64() {
board move(0, ext, opt, 0);
qrow16(0).move64<action::left, 0>(move);
qrow16(1).move64<action::left, 1>(move);
qrow16(2).move64<action::left, 2>(move);
qrow16(3).move64<action::left, 3>(move);
move.inf |= (move.raw ^ raw) ? 0 : -1;
return operator =(move).inf;
}
inline i32 right64() {
board move(0, ext, opt, 0);
qrow16(0).move64<action::right, 0>(move);
qrow16(1).move64<action::right, 1>(move);
qrow16(2).move64<action::right, 2>(move);
qrow16(3).move64<action::right, 3>(move);
move.inf |= (move.raw ^ raw) ? 0 : -1;
return operator =(move).inf;
}
inline i32 up64() {
board move(0, ext, opt, 0);
qcol16(0).move64<action::up, 0>(move);
qcol16(1).move64<action::up, 1>(move);
qcol16(2).move64<action::up, 2>(move);
qcol16(3).move64<action::up, 3>(move);
move.inf |= (move.raw ^ raw) ? 0 : -1;
return operator =(move).inf;
}
inline i32 down64() {
board move(0, ext, opt, 0);
qcol16(0).move64<action::down, 0>(move);
qcol16(1).move64<action::down, 1>(move);
qcol16(2).move64<action::down, 2>(move);
qcol16(3).move64<action::down, 3>(move);
move.inf |= (move.raw ^ raw) ? 0 : -1;
return operator =(move).inf;
}
inline i32 left80() {
board move(0, 0, opt, 0);
qrow20(0).move80<action::left, 0>(move);
qrow20(1).move80<action::left, 1>(move);
qrow20(2).move80<action::left, 2>(move);
qrow20(3).move80<action::left, 3>(move);
move.inf |= (move.raw ^ raw) | (move.ext ^ ext) ? 0 : -1;
return operator =(move).inf;
}
inline i32 right80() {
board move(0, 0, opt, 0);
qrow20(0).move80<action::right, 0>(move);
qrow20(1).move80<action::right, 1>(move);
qrow20(2).move80<action::right, 2>(move);
qrow20(3).move80<action::right, 3>(move);
move.inf |= (move.raw ^ raw) | (move.ext ^ ext) ? 0 : -1;
return operator =(move).inf;
}
inline i32 up80() {
board move(0, 0, opt, 0);
qcol20(0).move80<action::up, 0>(move);
qcol20(1).move80<action::up, 1>(move);
qcol20(2).move80<action::up, 2>(move);
qcol20(3).move80<action::up, 3>(move);
move.inf |= (move.raw ^ raw) | (move.ext ^ ext) ? 0 : -1;
return operator =(move).inf;
}
inline i32 down80() {
board move(0, 0, opt, 0);
qcol20(0).move80<action::down, 0>(move);
qcol20(1).move80<action::down, 1>(move);
qcol20(2).move80<action::down, 2>(move);
qcol20(3).move80<action::down, 3>(move);
move.inf |= (move.raw ^ raw) | (move.ext ^ ext) ? 0 : -1;
return operator =(move).inf;
}
inline i32 move(u32 op) {
switch (op & 0xf0u) {
default: return move64(op);
case action::x64: return move64(op & 0x0fu);
case action::x80: return move80(op & 0x0fu);
}
}
inline i32 move64(u32 op) {
switch (op) {
case action::up: return up64();
case action::right: return right64();
case action::down: return down64();
case action::left: return left64();
default: return -1;
}
}
inline i32 move80(u32 op) {
switch (op) {
case action::up: return up80();
case action::right: return right80();
case action::down: return down80();
case action::left: return left80();
default: return -1;
}
}
inline void moves(board& U, board& R, board& D, board& L) const {
return moves64(U, R, D, L);
}
inline void moves64(board& U, board& R, board& D, board& L) const {
#if defined(__AVX2__) && !defined(PREFER_LUT_MOVES)
__m256i dst, buf, rbf, rwd, chk;
// use left for all 4 directions, transpose and mirror first
u64 x = raw;
raw_cast<board>(x).transpose64();
dst = _mm256_set_epi64x(raw, 0, 0, x); // L, 0, 0, U
buf = _mm256_set_epi64x(0, x, raw, 0); // 0, D, R, 0
dst = _mm256_or_si256(dst, _mm256_slli_epi16(buf, 12));
dst = _mm256_or_si256(dst, _mm256_slli_epi16(_mm256_and_si256(buf, _mm256_set1_epi16(0x00f0)), 4));
dst = _mm256_or_si256(dst, _mm256_srli_epi16(_mm256_and_si256(buf, _mm256_set1_epi16(0x0f00)), 4));
dst = _mm256_or_si256(dst, _mm256_srli_epi16(buf, 12));
// slide to left most
buf = _mm256_and_si256(dst, _mm256_set1_epi16(0x0f00));
chk = _mm256_and_si256(_mm256_cmpeq_epi16(buf, _mm256_setzero_si256()), _mm256_set1_epi16(0xff00));
dst = _mm256_or_si256(_mm256_and_si256(chk, _mm256_srli_epi16(dst, 4)), _mm256_andnot_si256(chk, dst));
buf = _mm256_and_si256(dst, _mm256_set1_epi16(0x00f0));
chk = _mm256_and_si256(_mm256_cmpeq_epi16(buf, _mm256_setzero_si256()), _mm256_set1_epi16(0xfff0));
dst = _mm256_or_si256(_mm256_and_si256(chk, _mm256_srli_epi16(dst, 4)), _mm256_andnot_si256(chk, dst));
buf = _mm256_and_si256(dst, _mm256_set1_epi16(0x000f));
chk = _mm256_cmpeq_epi16(buf, _mm256_setzero_si256());
dst = _mm256_or_si256(_mm256_and_si256(chk, _mm256_srli_epi16(dst, 4)), _mm256_andnot_si256(chk, dst));
// merge same tiles, slide if necessary
buf = _mm256_srli_epi16(_mm256_add_epi8(dst, _mm256_set1_epi16(0x0010)), 4);
rbf = _mm256_and_si256(dst, _mm256_set1_epi16(0x000f));
chk = _mm256_and_si256(_mm256_srli_epi16(dst, 4), _mm256_set1_epi16(0x000f));
chk = _mm256_andnot_si256(_mm256_cmpeq_epi16(rbf, _mm256_setzero_si256()), _mm256_cmpeq_epi16(rbf, chk));
dst = _mm256_or_si256(_mm256_and_si256(chk, buf), _mm256_andnot_si256(chk, dst));
chk = _mm256_cvtepu16_epi32(_mm256_extracti128_si256(_mm256_and_si256(chk, _mm256_set1_epi16(0x0001)), 0));
rbf = _mm256_cvtepu16_epi32(_mm256_extracti128_si256(_mm256_add_epi16(rbf, _mm256_set1_epi16(0x0001)), 0));
rwd = _mm256_sllv_epi32(chk, rbf);
buf = _mm256_add_epi8(_mm256_srli_epi16(dst, 4), _mm256_set1_epi16(0x0010));
rbf = _mm256_and_si256(buf, _mm256_set1_epi16(0x000f));
chk = _mm256_and_si256(_mm256_srli_epi16(dst, 8), _mm256_set1_epi16(0x000f));
chk = _mm256_andnot_si256(_mm256_cmpeq_epi16(rbf, _mm256_setzero_si256()), _mm256_cmpeq_epi16(rbf, chk));
chk = _mm256_and_si256(chk, _mm256_set1_epi16(0xfff0));
dst = _mm256_or_si256(_mm256_and_si256(chk, buf), _mm256_andnot_si256(chk, dst));
chk = _mm256_cvtepu16_epi32(_mm256_extracti128_si256(_mm256_srli_epi16(chk, 15), 0));
rbf = _mm256_cvtepu16_epi32(_mm256_extracti128_si256(_mm256_add_epi16(rbf, _mm256_set1_epi16(0x0001)), 0));
rwd = _mm256_add_epi32(rwd, _mm256_sllv_epi32(chk, rbf));
buf = _mm256_srli_epi16(_mm256_add_epi16(dst, _mm256_set1_epi16(0x1000)), 4);
rbf = _mm256_srli_epi16(dst, 12);
chk = _mm256_and_si256(_mm256_srli_epi16(dst, 8), _mm256_set1_epi16(0x000f));
chk = _mm256_andnot_si256(_mm256_cmpeq_epi16(rbf, _mm256_setzero_si256()), _mm256_cmpeq_epi16(rbf, chk));
chk = _mm256_and_si256(chk, _mm256_set1_epi16(0xff00));
dst = _mm256_or_si256(_mm256_and_si256(chk, buf), _mm256_andnot_si256(chk, dst));
chk = _mm256_cvtepu16_epi32(_mm256_extracti128_si256(_mm256_srli_epi16(chk, 15), 0));
rbf = _mm256_cvtepu16_epi32(_mm256_extracti128_si256(_mm256_add_epi16(rbf, _mm256_set1_epi16(0x0001)), 0));
rwd = _mm256_add_epi32(rwd, _mm256_sllv_epi32(chk, rbf));
// mirror and transpose back to original direction
L = _mm256_extract_epi64(dst, 3); // L = left
buf = _mm256_slli_epi16(dst, 12);
buf = _mm256_or_si256(buf, _mm256_slli_epi16(_mm256_and_si256(dst, _mm256_set1_epi16(0x00f0)), 4));
buf = _mm256_or_si256(buf, _mm256_srli_epi16(_mm256_and_si256(dst, _mm256_set1_epi16(0x0f00)), 4));
buf = _mm256_or_si256(buf, _mm256_srli_epi16(dst, 12));
R = _mm256_extract_epi64(buf, 1); // R = mirror left mirror
buf = _mm256_blend_epi32(dst, buf, 0b11111100);
rbf = _mm256_and_si256(_mm256_xor_si256(buf, _mm256_srli_epi64(buf, 12)), _mm256_set1_epi64x(0x0000f0f00000f0f0ull));
buf = _mm256_xor_si256(buf, _mm256_xor_si256(rbf, _mm256_slli_epi64(rbf, 12)));
rbf = _mm256_and_si256(_mm256_xor_si256(buf, _mm256_srli_epi64(buf, 24)), _mm256_set1_epi64x(0x00000000ff00ff00ull));
buf = _mm256_xor_si256(buf, _mm256_xor_si256(rbf, _mm256_slli_epi64(rbf, 24)));
U = _mm256_extract_epi64(buf, 0); // U = transpose left transpose
D = _mm256_extract_epi64(buf, 2); // D = transpose mirror left mirror transpose
// sum the final reward and check moved or not
rwd = _mm256_add_epi64(rwd, _mm256_srli_si256(rwd, 8 /* bytes */));
rwd = _mm256_add_epi64(rwd, _mm256_srli_epi64(rwd, 32));
U.inf = _mm256_extract_epi32(rwd, 0);
R.inf = _mm256_extract_epi32(rwd, 4);
rwd = _mm256_set_epi64x(R.inf, U.inf, R.inf, U.inf);
chk = _mm256_cmpeq_epi64(_mm256_set_epi64x(L, D, R, U), _mm256_set1_epi64x(raw));
rwd = _mm256_or_si256(rwd, chk);
U.inf = _mm256_extract_epi32(rwd, 0);
R.inf = _mm256_extract_epi32(rwd, 2);
D.inf = _mm256_extract_epi32(rwd, 4);
L.inf = _mm256_extract_epi32(rwd, 6);
#else // if AVX2 is unavailable or disabled
U = R = D = L = board();
qrow16(0).moveh64<0>(L, R);
qrow16(1).moveh64<1>(L, R);
qrow16(2).moveh64<2>(L, R);
qrow16(3).moveh64<3>(L, R);
L.inf |= (L.raw ^ raw) ? 0 : -1;
R.inf |= (R.raw ^ raw) ? 0 : -1;
qcol16(0).movev64<0>(U, D);
qcol16(1).movev64<1>(U, D);
qcol16(2).movev64<2>(U, D);
qcol16(3).movev64<3>(U, D);
U.inf |= (U.raw ^ raw) ? 0 : -1;
D.inf |= (D.raw ^ raw) ? 0 : -1;
#endif
}
inline void moves80(board& U, board& R, board& D, board& L) const {
U = R = D = L = board();
qrow20(0).moveh80<0>(L, R);
qrow20(1).moveh80<1>(L, R);
qrow20(2).moveh80<2>(L, R);
qrow20(3).moveh80<3>(L, R);
L.inf |= (L.raw ^ raw) | (L.ext ^ ext) ? 0 : -1;
R.inf |= (R.raw ^ raw) | (R.ext ^ ext) ? 0 : -1;
qcol20(0).movev80<0>(U, D);
qcol20(1).movev80<1>(U, D);
qcol20(2).movev80<2>(U, D);
qcol20(3).movev80<3>(U, D);
U.inf |= (U.raw ^ raw) | (U.ext ^ ext) ? 0 : -1;
D.inf |= (D.raw ^ raw) | (D.ext ^ ext) ? 0 : -1;
}
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline void moves(btype move[]) const { moves(move[0], move[1], move[2], move[3]); }
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline void moves64(btype move[]) const { moves64(move[0], move[1], move[2], move[3]); }
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline void moves80(btype move[]) const { moves80(move[0], move[1], move[2], move[3]); }
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline std::array<btype, 4> moves() const { std::array<btype, 4> move; moves(move.data()); return move; }
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline std::array<btype, 4> moves64() const { std::array<btype, 4> move; moves64(move.data()); return move; }
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline std::array<btype, 4> moves80() const { std::array<btype, 4> move; moves80(move.data()); return move; }
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline u32 movals(btype move[]) const { return movals64(move); }
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline u32 movals64(btype move[]) const {
moves64(move);
u32 i = 0;
move[i] = move[0]; i += ~move[0].inf >> 31;
move[i] = move[1]; i += ~move[1].inf >> 31;
move[i] = move[2]; i += ~move[2].inf >> 31;
move[i] = move[3]; i += ~move[3].inf >> 31;
return i;
}
template<typename btype, typename = enable_if_is_base_of<board, btype>>
inline u32 movals80(btype move[]) const {
moves80(move);
u32 i = 0;
move[i] = move[0]; i += ~move[0].inf >> 31;
move[i] = move[1]; i += ~move[1].inf >> 31;
move[i] = move[2]; i += ~move[2].inf >> 31;
move[i] = move[3]; i += ~move[3].inf >> 31;
return i;
}
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline std::vector<btype> movals() const { std::vector<btype> move(4); move.resize(movals(move.data())); return move; }
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline std::vector<btype> movals64() const { std::vector<btype> move(4); move.resize(movals64(move.data())); return move; }
template<typename btype = board, typename = enable_if_is_base_of<board, btype>>
inline std::vector<btype> movals80() const { std::vector<btype> move(4); move.resize(movals80(move.data())); return move; }
class action {
public:
action() = delete;
enum opcode : u32 {
up = 0x00u,
right = 0x01u,
down = 0x02u,
left = 0x03u,
next = 0x0eu,
init = 0x0cu,
nop = 0x0fu,
x64 = 0x40u,
x80 = 0x80u,
ext = x80,
};
};
inline i32 operate(u32 op) {
switch (op & 0xf0u) {
default: return operate64(op);
case action::x64: return operate64(op & 0x0fu);
case action::x80: return operate80(op & 0x0fu);
}
}
inline i32 operate64(u32 op) {
switch (op) {
default: return move64(op);
case action::next: return popup64() ? 0 : -1;
case action::init: return init(), 0;
}
}
inline i32 operate80(u32 op) {
switch (op) {
default: return move80(op);
case action::next: return popup80() ? 0 : -1;
case action::init: return init(), 0;
}
}
inline constexpr u32 shift(u32 n = 1, u32 u = 0) { return shift64(n, u); }
inline constexpr u32 shift64(u32 n = 1, u32 u = 0) {
u32 rank = scale64();
u32 mask = (math::msb(rank) - 1) & ~((2 << u) - 1);
u32 hole = ~rank & mask;
u32 hcnt = std::max(math::popcnt(hole), n);
#if defined(__BMI2__) && !defined(PREFER_LEGACY_SHIFT)
hole &= ~(math::lsb(hole, hcnt - n) - 1);
#else
while (hcnt-- > n) hole &= (hole - 1);
#endif
rank &= ~(math::lsb(hole) - 1);
for (u32 last = 0, tile = 0, step = 0; rank; rank ^= last) {
last = math::lsb(rank);
tile = math::tzcnt(last);
step = math::popcnt(hole & (last - 1));
put64(where64(tile), tile - step);
}
return hole;
}
inline constexpr u32 shift80(u32 n = 1, u32 u = 0) {
u32 rank = scale80();
u32 mask = (math::msb(rank) - 1) & ~((2 << u) - 1);
u32 hole = ~rank & mask;
u32 hcnt = std::max(math::popcnt(hole), n);
#if defined(__BMI2__) && !defined(PREFER_LEGACY_SHIFT)
hole &= ~(math::lsb(hole, hcnt - n) - 1);
#else
while (hcnt-- > n) hole &= (hole - 1);
#endif
rank &= ~(math::lsb(hole) - 1);
for (u32 last = 0, tile = 0, step = 0; rank; rank ^= last) {
last = math::lsb(rank);
tile = math::tzcnt(last);
step = math::popcnt(hole & (last - 1));
put80(where80(tile), tile - step);
}
return hole;
}
inline constexpr u32 advance(u32 n = 1, u32 u = 0) { return advance64(n, u); }
inline constexpr u32 advance64(u32 n = 1, u32 u = 0) {
u32 rank = scale64();
u32 mask = (math::msb(rank) - 1) & ~((2 << u) - 1);
u32 hole = ~rank & mask;
u32 hmax = math::msb(hole);
hole = ((hmax << n) - 1) & ~(hmax - 1);
rank &= ~(math::lsb(hole) - 1);
for (u32 last = 0, tile = 0; rank; rank ^= last) {
last = math::msb(rank);
tile = math::tzcnt(last);
put64(where64(tile), (tile + n) & 0x0fu);
}
return hole;
}
inline constexpr u32 advance80(u32 n = 1, u32 u = 0) {
u32 rank = scale80();
u32 mask = (math::msb(rank) - 1) & ~((2 << u) - 1);
u32 hole = ~rank & mask;
u32 hmax = math::msb(hole);
hole = ((hmax << n) - 1) & ~(hmax - 1);
rank &= ~(math::lsb(hole) - 1);
for (u32 last = 0, tile = 0; rank; rank ^= last) {
last = math::msb(rank);
tile = math::tzcnt(last);
put80(where80(tile), (tile + n) & 0x1fu);
}
return hole;
}
inline constexpr u32 scale(u32 scale, u32 thres = 0) { return scale64(scale, thres); }
inline constexpr u32 scale64(u32 scale, u32 thres = 0) {
u32 rank = scale64();
i32 dist = math::lg(rank) - math::lg(scale);
while (dist-- > 0 && shift64()) rank = scale64();
u32 mask = ~(math::msb(thres | 1) - 1);
u32 diff = (scale ^ rank) & mask;
for (u32 u = 0; diff != 0; diff ^= u) {
u = math::msb(diff);
if (scale & u) { // if u is expected but not present
u32 t = math::msb(rank & (u - 1));
u64 w = t ? where64(math::tzcnt(t)) : 0;
u32 n = math::popcnt(w);
for (u32 k = rank & ~(u - 1); !n && k; k ^= t) {
t = math::lsb(k);
w = where64(math::tzcnt(t));
n = math::popcnt(w);
n = n > 1 ? n : 0;
}
if (n == 0) continue;
put64(math::lsb(w), math::tzcnt(u));
diff ^= (n == 1) ? (scale ^ diff) & t : 0;
rank = (rank ^ (n > 1 ? 0 : t)) | u;
} else { // if u is unexpected but present
u64 w = where64(math::tzcnt(u));
u32 t = math::msb((scale | ~mask) & (u - 1)) ?:
(math::lsb(rank ^ u) ?: 1);
put64(w, math::tzcnt(t));
rank = (rank ^ u) | t;
}
}
return rank;
}
inline constexpr u32 scale80(u32 scale, u32 thres = 0) {
scale &= ~(math::msb(thres | 1) - 1);
u32 rank = scale80();
while (rank >= 65536 && shift80()) rank = scale80();
i32 dist = math::popcnt(scale & -2u) - math::popcnt(rank);
while (dist-- > 0) rank |= math::msb(~rank & 0xffff);
rank |= (scale & 1);
rank = scale64(rank, math::lsb(rank));
for (u32 s = 0, h = 0; scale; scale ^= s, rank ^= s ^ h) {
s = math::msb(scale);
h = math::msb(rank & (s ^ (s - 1)));
put80(where80(math::tzcnt(h)), math::tzcnt(s));
}
return rank;
}
inline constexpr void isomax() { return isomax64(); }
inline constexpr void isomax64() {
u64 x = raw;
flip64(); x = std::max(x, raw);
transpose64(); x = std::max(x, raw);
flip64(); x = std::max(x, raw);
transpose64(); x = std::max(x, raw);
flip64(); x = std::max(x, raw);
transpose64(); x = std::max(x, raw);
flip64(); x = std::max(x, raw);
raw = x;
}
inline constexpr void isomax80() {
board x(*this);
flip80(); x = std::max(x, *this);
transpose80(); x = std::max(x, *this);
flip80(); x = std::max(x, *this);
transpose80(); x = std::max(x, *this);
flip80(); x = std::max(x, *this);
transpose80(); x = std::max(x, *this);
flip80(); x = std::max(x, *this);
set(x.raw, x.ext);
}
inline constexpr void isomin() { return isomin64(); }
inline constexpr void isomin64() {
u64 x = raw;
flip64(); x = std::min(x, raw);
transpose64(); x = std::min(x, raw);
flip64(); x = std::min(x, raw);
transpose64(); x = std::min(x, raw);
flip64(); x = std::min(x, raw);
transpose64(); x = std::min(x, raw);
flip64(); x = std::min(x, raw);
raw = x;
}
inline constexpr void isomin80() {
board x(*this);
flip80(); x = std::min(x, *this);
transpose80(); x = std::min(x, *this);
flip80(); x = std::min(x, *this);
transpose80(); x = std::min(x, *this);
flip80(); x = std::min(x, *this);
transpose80(); x = std::min(x, *this);
flip80(); x = std::min(x, *this);
set(x.raw, x.ext);
}
inline u32 species() const { return species64(); }
inline u32 species64() const {
return qrow16(0).species | qrow16(1).species | qrow16(2).species | qrow16(3).species;
}
inline u32 species80() const {
return qrow20(0).species | qrow20(1).species | qrow20(2).species | qrow20(3).species;
}