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-rw-r--r--src/main.rs8
-rw-r--r--src/position.rs17
-rw-r--r--src/solve.rs61
3 files changed, 51 insertions, 35 deletions
diff --git a/src/main.rs b/src/main.rs
index e77ce2b..5dde7cb 100644
--- a/src/main.rs
+++ b/src/main.rs
@@ -6,7 +6,7 @@ pub mod position;
pub mod solve;
use position::Position;
-use solve::solve;
+use solve::{solve, solve_weak};
fn main() {
@@ -33,9 +33,13 @@ fn main() {
let begin = Instant::now();
let score = solve(pos);
let elapsed = begin.elapsed();
+ println!("{:03}: score: {:3}, time: {:?}\n", total_solve, score, elapsed);
+ // if score != expected_score {
+ // eprintln!("{:03}: score: {:3} {:3}", total_solve, score, expected_score);
+ // }
+ // assert_eq!(score, expected_score);
total_time += elapsed;
total_solve += 1;
- println!("score: {:3} {:3}, time: {:?}\n", score, expected_score, elapsed);
}
Err(msg) =>
eprintln!("wrong score format {:?}: {}", fields[1], msg),
diff --git a/src/position.rs b/src/position.rs
index 9ed617d..7fd65c2 100644
--- a/src/position.rs
+++ b/src/position.rs
@@ -1,6 +1,7 @@
pub const HEIGHT: u64 = 6;
pub const WIDTH: u64 = 7;
pub const FULL_HEIGHT: u64 = HEIGHT + 1;
+pub const MIN_SCORE: i32 = -((WIDTH * HEIGHT) as i32) / 2 + 3;
#[derive(Debug, Eq, PartialEq)]
enum Cell {
@@ -157,27 +158,27 @@ impl fmt::Debug for Position {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
use Cell::*;
writeln!(f, "play_count: {}", self.play_count)?;
- writeln!(f, "{:10}{:10}{:10}", "position", "mask", "player")?;
+ writeln!(f, "{:16}{:16}{:16}", "position", "mask", "player")?;
for y in (0..FULL_HEIGHT).rev() {
for x in 0..WIDTH {
match self.at(y, x) {
- Empty => write!(f, ".")?,
- CurrentPlayer => write!(f, "x")?,
- OtherPlayer => write!(f, "o")?,
+ Empty => write!(f, ". ")?,
+ CurrentPlayer => write!(f, "x ")?,
+ OtherPlayer => write!(f, "o ")?,
}
}
write!(f, " ")?;
for x in 0..WIDTH {
match self.at(y, x) {
- Empty => write!(f, ".")?,
- CurrentPlayer | OtherPlayer => write!(f, "#")?,
+ Empty => write!(f, ". ")?,
+ CurrentPlayer | OtherPlayer => write!(f, "# ")?,
}
}
write!(f, " ")?;
for x in 0..WIDTH {
match self.at(y, x) {
- Empty | OtherPlayer => write!(f, ".")?,
- CurrentPlayer => write!(f, "#")?,
+ Empty | OtherPlayer => write!(f, ". ")?,
+ CurrentPlayer => write!(f, "# ")?,
}
}
write!(f, "\n")?;
diff --git a/src/solve.rs b/src/solve.rs
index b950ab6..9561ff1 100644
--- a/src/solve.rs
+++ b/src/solve.rs
@@ -1,18 +1,22 @@
use std::collections::HashMap;
-use crate::position::{Position, WIDTH, HEIGHT};
+use crate::position::{Position, WIDTH, HEIGHT, MIN_SCORE};
const COLUMNS_ORDER: [u64; 7] = [3, 2, 4, 1, 5, 0, 6];
pub fn solve(p: Position) -> i32 {
let mut cache = HashMap::with_capacity(30000);
- solve_rec(p, -100000, 100000, &mut cache)
+ solve_rec(p, -1000, 1000, &mut cache)
+}
+
+// the weak solver only tells if the position is a win/lose/draw
+// it's faster but less precise
+pub fn solve_weak(p: Position) -> i32 {
+ let mut cache = HashMap::with_capacity(30000);
+ solve_rec(p, -1, 1, &mut cache)
}
fn solve_rec(p: Position, a: i32, b: i32, cache: &mut HashMap<u64, i32>) -> i32 {
- if let Some(score) = cache.get(&p.key()) {
- return *score;
- }
if p.is_draw() {
return 0;
}
@@ -25,32 +29,39 @@ fn solve_rec(p: Position, a: i32, b: i32, cache: &mut HashMap<u64, i32>) -> i32
let mut alpha = a;
let mut beta = b;
- let max = (((WIDTH * HEIGHT + 1) as i32) - (p.play_count as i32)) / 2;
-
- if beta > max {
- beta = max;
- if alpha >= beta {
- return beta;
+ if let Some(max_score) = cache.get(&p.key()) {
+ // can't return max_score directly
+ // because the alpha-beta context in the cache may be
+ // different than the current alpha-beta
+ if beta > *max_score {
+ beta = *max_score;
+ if alpha >= beta {
+ return beta;
+ }
}
}
- for x_unordered in 0..(WIDTH as usize) {
- let x = COLUMNS_ORDER[x_unordered];
- if !p.is_valid_play(x) {
- continue
- }
-
+ let mut best = MIN_SCORE;
+ for x in (0..(WIDTH as usize))
+ .map(|x| COLUMNS_ORDER[x])
+ .filter(|x| p.is_valid_play(*x))
+ {
+ // using negamax, variante of minimax where:
+ // max(player1, player2) == -min(-player1, -player2)
let score = -solve_rec(p.play(x), -beta, -alpha, cache);
-
- if score >= beta {
- return score;
+ if score > best {
+ best = score;
}
-
- if score > alpha {
- alpha = score;
+ // reduce alpha-beta range if found better score
+ if best > alpha {
+ alpha = best;
+ }
+ // impossible alpha-beta range reached (alpha is supposed to be < to beta)
+ if alpha >= beta {
+ return score;
}
}
- cache.insert(p.key(), alpha);
- return alpha;
+ cache.insert(p.key(), best);
+ return best;
}