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643 lines (598 loc) · 14.4 KB
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#include <cstdint>
#include <vector>
#include <iostream>
#include <Eigen/Dense>
#include <cmath>
#include <algorithm>
#include <ctime>
using namespace std;
using namespace Eigen;
#define UP_MASK 0xFF00000000000000
#define DOWN_MASK 0x00000000000000FF
#define LEFT_MASK 0x8080808080808080
#define RIGHT_MASK 0x0101010101010101
const uint64_t start = 0x8000000000000000;
const uint64_t m1 = 0x5555555555555555; //binary: 0101...
const uint64_t m2 = 0x3333333333333333; //binary: 00110011..
const uint64_t m4 = 0x0f0f0f0f0f0f0f0f; //binary: 4 zeros, 4 ones ...
// const uint64_t m8 = 0x00ff00ff00ff00ff; //binary: 8 zeros, 8 ones ...
// const uint64_t m16 = 0x0000ffff0000ffff; //binary: 16 zeros, 16 ones ...
// const uint64_t m32 = 0x00000000ffffffff; //binary: 32 zeros, 32 ones
// const uint64_t hff = 0xffffffffffffffff; //binary: all ones
// const uint64_t h01 = 0x0101010101010101; //the sum of 256 to the power of 0,1,2,3...
MatrixXf Wh(130,100);//it = MatrixXf::Random(130, 100); // (D,H)
VectorXf Wo(100); //= VectorXf::Random(100); // (H,1)
uint64_t moved;
int maxDepth;
// void updateWeights(float learningRate, MatrixXf data, VectorXf rewards){
// MatrixXf h = data * Wh;
// MatrixXf mask = (h.array()>0);
// h = h.cwiseProduct(mask);
// VectorXf outs = h * Wo;
// VectorXf errs = outs - rewards;
// MatrixXf dh = (errs * Wo.transpose()).cwiseProduct(mask);
// MatrixXf dWo = h.transpose() * errs;
// MatrixXf dWh = data.transpose() * dh;
// Wh -= learningRate * dWh;
// Wo -= learningRate * dWo;
// }
uint64_t shift_up(uint64_t board)
{
return (board & ~UP_MASK) << 8;
}
uint64_t shift_down(uint64_t board)
{
return (board & ~DOWN_MASK) >> 8;
}
uint64_t shift_left(uint64_t board)
{
return (board & ~LEFT_MASK) << 1;
}
uint64_t shift_right(uint64_t board)
{
return (board & ~RIGHT_MASK) >> 1;
}
uint64_t shift_ur(uint64_t board)
{
return (board & (~RIGHT_MASK) & (~UP_MASK)) << 7;
}
uint64_t shift_ul(uint64_t board)
{
return (board & (~LEFT_MASK) & (~UP_MASK)) << 9;
}
uint64_t shift_dr(uint64_t board)
{
return (board & (~RIGHT_MASK) & (~DOWN_MASK)) >> 9;
}
uint64_t shift_dl(uint64_t board)
{
return (board & (~LEFT_MASK) & (~DOWN_MASK)) >> 7;
}
uint64_t up_moves(uint64_t p1, uint64_t p2)
{
uint64_t res = 0;
uint64_t empty = ~p1 & ~p2;
while ((p1 = (shift_up(p1) & p2)) != 0)
{
res |= (shift_up(p1) & empty);
}
return res;
}
uint64_t down_moves(uint64_t p1, uint64_t p2)
{
uint64_t res = 0;
uint64_t empty = ~p1 & ~p2;
while ((p1 = (shift_down(p1) & p2)) != 0)
{
res |= (shift_down(p1) & empty);
}
return res;
}
uint64_t left_moves(uint64_t p1, uint64_t p2)
{
uint64_t res = 0;
uint64_t empty = ~p1 & ~p2;
while ((p1 = (shift_left(p1) & p2)) != 0)
{
res |= (shift_left(p1) & empty);
}
return res;
}
uint64_t right_moves(uint64_t p1, uint64_t p2)
{
uint64_t res = 0;
uint64_t empty = ~p1 & ~p2;
while ((p1 = (shift_right(p1) & p2)) != 0)
{
res |= (shift_right(p1) & empty);
}
return res;
}
uint64_t ul_moves(uint64_t p1, uint64_t p2)
{
uint64_t res = 0;
uint64_t empty = ~p1 & ~p2;
while ((p1 = (shift_ul(p1) & p2)) != 0)
{
res |= (shift_ul(p1) & empty);
}
return res;
}
uint64_t ur_moves(uint64_t p1, uint64_t p2)
{
uint64_t res = 0;
uint64_t empty = ~p1 & ~p2;
while ((p1 = (shift_ur(p1) & p2)) != 0)
{
res |= (shift_ur(p1) & empty);
}
return res;
}
uint64_t dl_moves(uint64_t p1, uint64_t p2)
{
uint64_t res = 0;
uint64_t empty = ~p1 & ~p2;
while ((p1 = (shift_dl(p1) & p2)) != 0)
{
res |= (shift_dl(p1) & empty);
}
return res;
}
uint64_t dr_moves(uint64_t p1, uint64_t p2)
{
uint64_t res = 0;
uint64_t empty = ~p1 & ~p2;
while ((p1 = (shift_dr(p1) & p2)) != 0)
{
res |= (shift_dr(p1) & empty);
}
return res;
}
extern "C" uint64_t moves(uint64_t p1, uint64_t p2)
{
// could just call thos functions above but I have this so i'll keep it
uint64_t res = 0;
uint64_t empty = ~p1 & ~p2;
uint64_t tmp = p1;
while ((tmp = (shift_up(tmp) & p2)) != 0)
res |= (shift_up(tmp) & empty);
tmp = p1;
while ((tmp = (shift_down(tmp) & p2)) != 0)
res |= (shift_down(tmp) & empty);
tmp = p1;
while ((tmp = (shift_left(tmp) & p2)) != 0)
res |= (shift_left(tmp) & empty);
tmp = p1;
while ((tmp = (shift_right(tmp) & p2)) != 0)
res |= (shift_right(tmp) & empty);
tmp = p1;
while ((tmp = (shift_ul(tmp) & p2)) != 0)
res |= (shift_ul(tmp) & empty);
tmp = p1;
while ((tmp = (shift_ur(tmp) & p2)) != 0)
res |= (shift_ur(tmp) & empty);
tmp = p1;
while ((tmp = (shift_dl(tmp) & p2)) != 0)
res |= (shift_dl(tmp) & empty);
tmp = p1;
while ((tmp = (shift_dr(tmp) & p2)) != 0)
res |= (shift_dr(tmp) & empty);
return res;
}
extern "C" int board_x(uint64_t move)
{
if (move == 0)
{
return -1;
}
uint64_t mask = LEFT_MASK;
int i = 0;
while ((move & mask) == 0)
{
i++;
mask >>= 1;
}
return i;
}
extern "C" int board_y(uint64_t move)
{
if (move == 0)
{
return -1;
}
uint64_t mask = UP_MASK;
int i = 0;
while ((move & mask) == 0)
{
i++;
mask >>= 8;
}
return i;
}
extern "C" uint64_t move_player(uint64_t move, uint64_t p1, uint64_t p2)
{
uint64_t full = 0;
uint64_t empty = ~(p1 | move | p2);
int upbound = board_y(move);
int leftbound = board_x(move);
int rightbound = 8 - leftbound;
int downbound = 8 - upbound;
int k = 0;
uint64_t moveShift = move;
bool found = false;
// move down
while (k < downbound && !found)
{
moveShift |= shift_down(moveShift);
if ((moveShift & empty) != 0)
{
found = true;
}
else if ((moveShift & p1) != 0)
{
if (k == 0)
{
found = true;
}
else
{
found = true;
full |= moveShift;
}
}
k++;
}
//move up
moveShift = move;
k = 0;
found = false;
while (k < upbound && !found)
{
moveShift |= shift_up(moveShift);
if ((moveShift & empty) != 0)
{
found = true;
}
else if ((moveShift & p1) != 0)
{
if (k == 0)
{
found = true;
}
else
{
found = true;
full |= moveShift;
}
}
k++;
}
//move left
moveShift = move;
k = 0;
found = false;
while (k < leftbound && !found)
{
moveShift |= shift_left(moveShift);
if ((moveShift & empty) != 0)
{
found = true;
}
else if ((moveShift & p1) != 0)
{
if (k == 0)
{
found = true;
}
else
{
found = true;
full |= moveShift;
}
}
k++;
}
//move right
moveShift = move;
k = 0;
found = false;
while (k < rightbound && !found)
{
moveShift |= shift_right(moveShift);
if ((moveShift & empty) != 0)
{
found = true;
}
else if ((moveShift & p1) != 0)
{
if (k == 0)
{
found = true;
}
else
{
found = true;
full |= moveShift;
}
}
k++;
}
//move up-left
moveShift = move;
k = 0;
found = false;
while (k < (leftbound > upbound ? leftbound : upbound) && !found)
{
moveShift |= shift_ul(moveShift);
if ((moveShift & empty) != 0)
{
found = true;
}
else if ((moveShift & p1) != 0)
{
if (k == 0)
{
found = true;
}
else
{
found = true;
full |= moveShift;
}
}
k++;
}
//move up-right
moveShift = move;
k = 0;
found = false;
while (k < (rightbound > upbound ? rightbound : upbound) && !found)
{
moveShift |= shift_ur(moveShift);
if ((moveShift & empty) != 0)
{
found = true;
}
else if ((moveShift & p1) != 0)
{
if (k == 0)
{
found = true;
}
else
{
found = true;
full |= moveShift;
}
}
k++;
}
//move down-left
moveShift = move;
k = 0;
found = false;
while (k < (leftbound > downbound ? leftbound : downbound) && !found)
{
moveShift |= shift_dl(moveShift);
if ((moveShift & empty) != 0)
{
found = true;
}
else if ((moveShift & p1) != 0)
{
if (k == 0)
{
found = true;
}
else
{
found = true;
full |= moveShift;
}
}
k++;
}
//move down-right
moveShift = move;
k = 0;
found = false;
while (k < (rightbound > upbound ? rightbound : upbound) && !found)
{
moveShift |= shift_dr(moveShift);
if ((moveShift & empty) != 0)
{
found = true;
}
else if ((moveShift & p1) != 0)
{
if (k == 0)
{
found = true;
}
else
{
found = true;
full |= moveShift;
}
}
k++;
}
return ((full & p2) | p1 | move);
}
extern "C" int bitCount(uint64_t x)
{
x -= (x >> 1) & m1; //put count of each 2 bits into those 2 bits
x = (x & m2) + ((x >> 2) & m2); //put count of each 4 bits into those 4 bits
x = (x + (x >> 4)) & m4; //put count of each 8 bits into those 8 bits
x += x >> 8; //put count of each 16 bits into their lowest 8 bits
x += x >> 16; //put count of each 32 bits into their lowest 8 bits
x += x >> 32; //put count of each 64 bits into their lowest 8 bits
return x & 0x7f;
}
extern "C" int endofGame(uint64_t p1, uint64_t p2)
{
uint64_t p1moves = moves(p1, p2);
uint64_t p2moves = moves(p2, p1);
if ((p1moves == 0) && (p2moves == 0))
{
unsigned int p1ct = bitCount(p1);
unsigned int p2ct = bitCount(p2);
if (p1ct > p2ct)
{
return 1;
}
else if (p2ct > p1ct)
{
return 2;
}
else
{
return 3;
}
}
else
{
return 0;
}
}
vector<uint64_t> toList(uint64_t board)
{
vector<uint64_t> out;
uint64_t pos = start;
while (pos > 0)
{
uint64_t tmp = pos & board;
if (tmp != 0)
{
out.push_back(tmp);
}
pos >>=1;
}
return out;
}
VectorXi toVector(uint64_t board)
{
VectorXi out(64);
uint64_t pos = 0x8000000000000000;
for (int i = 0; i < 64; i++)
{
out(i) = (pos & board) != 0;
pos >>= 1;
}
return out;
}
VectorXi doubleToVector(uint64_t p1, uint64_t p2)
{
VectorXi out(130);
uint64_t pos = start;
for (int i = 0; i < 64; i++)
{
out(i) = (pos & p1) != 0;
out(i + 64) = (pos & p2) != 0;
pos >>= 1;
}
out(128) = bitCount(moves(p1, p2));
out(129) = bitCount(moves(p2, p1));
return out;
}
float heuristic(uint64_t p1, uint64_t p2, bool add_noise)
{
VectorXf input = doubleToVector(p1, p2).cast<float>();
VectorXf h0 = Wh.transpose() * input;
VectorXf h = (h0.array() * (h0.array() > 0).cast<float>()).matrix();
if (add_noise){}
return h.dot(Wo);
}
void setWs(float *hPointer, float *oPointer)
{
Wh = Map<Matrix<float, 100, 130> >(hPointer).transpose();
Wo = Map<Matrix<float, 100, 1> >(hPointer);
}
double alphaBeta(uint64_t p1, uint64_t p2, int depth, double alpha, double beta, bool maxer, bool add_noise)
{
int eog = endofGame(p1, p2);
if (eog == 3)
{
return 0.0;
}
else if (eog == 2)
{
return -10000000000.0;
}
else if (eog == 1)
{
return 10000000000.0;
}
if (depth == 0)
{
return heuristic(p1, p2, add_noise);
}
uint64_t mv = moves(p1, p2);
// cout << mv;
if (mv == 0)
{
return alphaBeta(p2, p1, depth, alpha, beta, !maxer, add_noise);
}
vector<uint64_t> a = toList(mv);
if (maxer)
{
double v = -INFINITY;
for (int i = 0; i < a.size(); i++)
{
uint64_t move = a[i];
uint64_t newp1 = move_player(move, p1, p2);
uint64_t newp2 = p2 & ~p1;
double y = alphaBeta(newp2, newp1, depth - 1, alpha, beta, false, add_noise);
if (y > v && depth == maxDepth)
{
moved = move;
}
v = max(y, v);
alpha = max(alpha, v);
if (beta <= alpha)
{
break;
}
}
return v;
}
else
{
double v = INFINITY;
for (int i = 0; i < a.size(); i++)
{
uint64_t move = a[i];
uint64_t newp1 = move_player(move, p1, p2);
uint64_t newp2 = p2 & ~p1;
double y = alphaBeta(newp2, newp1, depth - 1, alpha, beta, true, add_noise);
v = min(y, v);
beta = min(beta, v);
if (beta <= alpha)
{
break;
}
}
return v;
}
}
uint64_t bestMove(uint64_t p1, uint64_t p2, int max_depth, bool add_noise)
{
moved = 0;
maxDepth = max_depth;
alphaBeta(p1, p2, maxDepth, -INFINITY, INFINITY, true, add_noise);
return moved;
}
extern "C" uint64_t doEverything(uint64_t p1, uint64_t p2, int max_depth, bool add_noise, float *hPointer, float *oPointer){
setWs(hPointer, oPointer);
return bestMove(p1, p2, max_depth, add_noise);
}
int main(){
uint64_t p1 = 0x0000000810000000;
uint64_t p2 = 0x0000001008000000;
clock_t begin = clock();
cout << bestMove(p1, p2, 8, false);
clock_t end = clock();
cout<<"\n";
cout<<double(end - begin) / CLOCKS_PER_SEC;
return 0;
}