ai.js
author Oleksandr Gavenko <gavenkoa@gmail.com>
Thu, 25 Sep 2014 02:05:48 +0300
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Make fast board cache.
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"use strict";
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/** @fileOverview AI modules. */
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/** @module */
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var ai = {};
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/** Directions. @constant */
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ai.dirs = ["up", "right", "down", "left"];
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/** Possible direction function names. @constant */
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ai.canDirs = ["canUp", "canRight", "canDown", "canLeft"];
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/** Create empty 'to' if argument missing. */
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ai.copyObj = function(from, to) {
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    if (to == null || typeof to !== "object")
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        to = {};
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    if (from == null || typeof from !== "object")
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        return to;
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    for (var attr in from) {
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        if (from.hasOwnProperty(attr))
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            to[attr] = from[attr];
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    }
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    return to;
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}
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ai.brdCache = function() {
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    this.cache = [];
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}
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ai.brdCache.prototype.get = function(brd) {
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    var compr = brd.compress();
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    var subCache = this.cache[compr[0]];
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    if (subCache) {
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        return subCache[compr[1]];
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    }
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    return undefined;
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}
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ai.brdCache.prototype.put = function(brd, val) {
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    var compr = brd.compress();
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    var subCache = this.cache[compr[0]];
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    if (subCache) {
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        subCache[compr[1]] = val;
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    } else {
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        this.cache[compr[0]] = [];
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        this.cache[compr[0]][compr[1]] = val;
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    }
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}
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// Each strategy is a function that except current board position as 2d array and context from
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// previous call to share state/precomputed values between calls.
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////////////////////////////////////////////////////////////////
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// Blind random AI.
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////////////////////////////////////////////////////////////////
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/** Blind random AI.
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 * @param {Board} brdEngine  board engine from board.js
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 * @constructor */
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ai.BlindRandom = function(brdEngine) {
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    this.brdEngine = brdEngine;
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}
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ai.BlindRandom.prototype.analyse = function(brd) {
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    var origBrd = new this.brdEngine(brd);
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    while (true) {
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        var rnd = Math.floor(Math.random()*4);
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        if (origBrd[ai.canDirs[rnd]]())
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            return ai.dirs[rnd];
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    }
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}
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/* Mark that next board will be unrelated to previous, so any stored precompution can be cleared. */
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ai.BlindRandom.prototype.cleanup = function() { }
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////////////////////////////////////////////////////////////////
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// Blind weight random AI.
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////////////////////////////////////////////////////////////////
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/**
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 * @name ai.BlindWeightRandom.cfg
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 * @namespace
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 * @property {number} left   weight
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 * @property {number} right  weight
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 * @property {number} up     weight
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 * @property {number} down   weight
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 */
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/** Blind weight random AI.
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 * @param {Board} brdEngine  board engine from board.js
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 * @param {ai.BlindWeightRandom.cfg} cfg  configuration settings
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 * @constructor */
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ai.BlindWeightRandom = function(brdEngine, cfg) {
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    this.brdEngine = brdEngine;
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    this.cfg = ai.copyObj(ai.BlindWeightRandom.bestCfg);
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    ai.copyObj(cfg, this.cfg);
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    var total = this.cfg.left + this.cfg.right + this.cfg.up + this.cfg.down;
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    this.threshold1 = this.cfg.left/total;
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    this.threshold2 = (this.cfg.left + this.cfg.down)/total;
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    this.threshold3 = (this.cfg.left + this.cfg.down + this.cfg.right)/total;
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}
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ai.BlindWeightRandom.bestCfg = { left: 1, right: 16, up: 4, down: 8 };
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ai.BlindWeightRandom.prototype.analyse = function(brd) {
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    var origBrd = new this.brdEngine(brd);
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    while (true) {
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        var rnd = Math.random();
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        if (rnd < this.threshold1)
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            var dir = 0;
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        else if (rnd < this.threshold2)
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            var dir = 1;
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        else if (rnd < this.threshold3)
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            var dir = 2;
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        else
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            var dir = 3;
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        if (origBrd[ai.canDirs[dir]]())
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            return ai.dirs[dir];
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    }
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}
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/* Mark that next board will be unrelated to previous, so any stored precompution can be cleared. */
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ai.BlindWeightRandom.prototype.cleanup = function() { }
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////////////////////////////////////////////////////////////////
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// Blind cycle AI.
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////////////////////////////////////////////////////////////////
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/**
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 * @name ai.BlindCycle.cfg
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 * @namespace
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 * @property {boolean} whilePossible  move in one direction while possible
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 * @property {boolean} down           switch direction clockwise
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 */
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/** Blind cycle AI.
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 * @param {Board} brdEngine  board engine from board.js
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 * @param {ai.BlindCycle.cfg} cfg  configuration settings
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 * @constructor */
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ai.BlindCycle = function(brdEngine, cfg) {
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    this.brdEngine = brdEngine;
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    this.cfg = cfg || {};
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    this.cfg.whilePossible = this.cfg.whilePossible || false;
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    this.cfg.clockwise = this.cfg.clockwise || false;
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}
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ai.BlindCycle.dirs = ["left", "down", "right", "up"];
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ai.BlindCycle.canDirs = ["canLeft", "canDown", "canRight", "canUp"];
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ai.BlindCycle.prototype.nextDir = function(dir) {
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    if (this.cfg.clockwise)
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        return (dir + (4-1)) % 4;
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    else
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        return (dir + 1) % 4;
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}
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ai.BlindCycle.prototype.analyse = function(brd) {
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    var origBrd = new this.brdEngine(brd);
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    this.prevDir = this.prevDir || 0;
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    if (!this.cfg.whilePossible)
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        this.prevDir = this.nextDir(this.prevDir);
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    while (true) {
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        if (origBrd[ai.BlindCycle.canDirs[this.prevDir]]())
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            return ai.BlindCycle.dirs[this.prevDir];
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        this.prevDir = this.nextDir(this.prevDir);
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    }
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}
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/* Mark that next board will be unrelated to previous, so any stored precompution can be cleared. */
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ai.BlindCycle.prototype.cleanup = function() {
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    delete this.prevDir;
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}
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   168

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////////////////////////////////////////////////////////////////
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// 1 step deep with linear weight function on score, max value,
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// bonuses for max value stay at corner or edge and bonuses
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// for each free field.
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////////////////////////////////////////////////////////////////
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/**
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 * Defines coefficient for linear resulted weight function.
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 * @name ai.OneStepAhead.cfg
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 * @namespace
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 * @property {number} scoreCoef    multiplicator for score
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 * @property {number} maxValCoef   multiplicator for max value
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 * @property {number} cornerBonus  bonus for max value at board corner
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 * @property {number} edgeBonus    bonus for max value at board edge
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 * @property {number} freeBonus    bonus for each free cell
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 */
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/** 1 step deep with * AI.
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 * @param {Board} brdEngine  board engine from board.js
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 * @param {ai.OneStepAhead.cfg} cfg  configuration settings
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 * @constructor */
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ai.OneStepAhead = function(brdEngine, cfg) {
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    this.brdEngine = brdEngine;
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    this.cfg = ai.copyObj(ai.OneStepAhead.bestCfg);
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    ai.copyObj(cfg, this.cfg);
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}
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ai.OneStepAhead.bestCfg = {scoreCoef: 1, maxValCoef: 0, cornerBonus: 0, edgeBonus: 0, freeBonus: 0};
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ai.OneStepAhead.prototype.weight = function(brd) {
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    var weight = 0;
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    if (this.cfg.scoreCoef > 0)
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        weight += this.cfg.scoreCoef * brd.score();
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    var max = brd.max();
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    if (this.cfg.maxValCoef > 0)
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        weight += this.cfg.maxValCoef * max;
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    if (this.cfg.cornerBonus > 0 && brd.atCorner(max))
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        weight += this.cfg.cornerBonus;
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    if (this.cfg.edgeBonus > 0 && brd.atEdge(max))
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        weight += this.cfg.edgeBonus;
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    if (this.cfg.freeBonus > 0)
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        weight += this.cfg.freeBonus * brd.free();
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    return weight;
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}
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ai.OneStepAhead.prototype.analyse = function(brd) {
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    var origBrd = new this.brdEngine(brd);
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    var nextBrd = new this.brdEngine();
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    var maxWeight = -1;
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    var bestDir;
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    for (var i = 0; i < ai.dirs.length; i++) {
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        var dir = ai.dirs[i];
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        if (origBrd[dir](nextBrd)) {
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            var weight = this.weight(nextBrd);
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            if (maxWeight < weight) {
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                bestDir = dir;
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                maxWeight = weight;
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            }
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        }
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    }
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    return bestDir;
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}
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/* Mark that next board will be unrelated to previous, so any stored precompution can be cleared. */
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ai.OneStepAhead.prototype.cleanup = function() { }
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////////////////////////////////////////////////////////////////
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// N level deep on score value without random simulation.
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////////////////////////////////////////////////////////////////
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/**
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 * Defines coefficient for linear resulted weight function.
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 * @name ai.StaticDeepMerges.cfg
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 * @namespace
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 * @property {number} scoreCoef    multiplicator for score
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 * @property {number} maxValCoef   multiplicator for max value
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 * @property {number} cornerBonus  bonus for max value at board corner
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 * @property {number} edgeBonus    bonus for max value at board edge
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 * @property {number} freeBonus    bonus for each free cell
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 */
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/** Deep merges AI without random simulation.
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 * @param {Board} brdEngine  board engine from board.js
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 * @param {Object} cfg  configuration settings
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 * @constructor */
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ai.StaticDeepMerges = function(brdEngine, cfg) {
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    this.brdEngine = brdEngine;
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    this.cfg = ai.copyObj(ai.OneStepAhead.bestCfg);
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    ai.copyObj(cfg, this.cfg);
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}
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ai.StaticDeepMerges.bestCfg = {scoreCoef: 1, maxValCoef: 0, cornerBonus: 0, edgeBonus: 0, freeBonus: 0, weightThreshold: 10};
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ai.StaticDeepMerges.prototype.weight = function(brd) {
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    var weight = 0;
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    if (this.cfg.scoreCoef > 0)
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        weight += this.cfg.scoreCoef * brd.score();
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    var max = brd.max();
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    if (this.cfg.maxValCoef > 0)
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        weight += this.cfg.maxValCoef * max;
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    if (this.cfg.cornerBonus > 0 && brd.atCorner(max))
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        weight += this.cfg.cornerBonus;
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    if (this.cfg.edgeBonus > 0 && brd.atEdge(max))
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        weight += this.cfg.edgeBonus;
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    if (this.cfg.freeBonus > 0)
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        weight += this.cfg.freeBonus * brd.free();
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    return weight;
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}
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ai.StaticDeepMerges.prototype.analyse = function(brd) {
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    var origBrd = new this.brdEngine(brd);
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    var nextBrd = new this.brdEngine();
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    var prevScore = -1, nextScore = -1;
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    var maxWeight = -1;
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    var bestDir;
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    for (var i = 0; i < ai.dirs.length; i++) {
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        var dir = ai.dirs[i];
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        if (origBrd[dir](nextBrd)) {
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            var weight = this.evalFn(nextBrd);
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            var ok = (weight - maxWeight) > this.cfg.weightThreshold;
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            if ( ! ok && maxWeight <= weight) {
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                nextScore = this.weight(nextBrd);
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                ok = prevScore < nextScore;
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            }
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            if (ok) {
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                prevScore = nextScore;
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                maxWeight = weight;
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                bestDir = dir;
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            }
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        }
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    }
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    return bestDir;
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}
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ai.StaticDeepMerges.prototype.evalFn = function(brd) {
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    var currScore = brd.score();
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    var maxWeight = currScore;
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    var nextBrd = new this.brdEngine();
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    for (var i = 0; i < ai.dirs.length; i++) {
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        if (brd[ai.dirs[i]](nextBrd)) {
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            var score = nextBrd.score();
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            if (score > currScore)
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                maxWeight = Math.max(maxWeight, this.evalFn(nextBrd));
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        }
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    }
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    return maxWeight;
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}
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/* Mark that next board will be unrelated to previous, so any stored precompution can be cleared. */
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ai.StaticDeepMerges.prototype.cleanup = function() { }
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   314

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////////////////////////////////////////////////////////////////
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// N level deep with random simulation.
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////////////////////////////////////////////////////////////////
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/**
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 * Defines coefficient for linear resulted weight function.
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 * @name ai.expectimax.cfg
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 * @namespace
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 * @property {number} scoreCoef    multiplicator for score
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 * @property {number} maxValCoef   multiplicator for max value
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 * @property {number} cornerBonus  bonus for max value at board corner
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 * @property {number} edgeBonus    bonus for max value at board edge
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 * @property {number} freeBonus    bonus for each free cell
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 */
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   331
/** N level deep with random simulation.
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 * @param {Board} brdEngine  board engine from board.js
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   333
 * @param {ai.expectimax.cfg} cfg  configuration settings
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 * @constructor */
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ai.expectimax = function(brdEngine, cfg) {
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    this.brdEngine = brdEngine;
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   337
    this.cfg = ai.copyObj(ai.expectimax.bestCfg);
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    ai.copyObj(cfg, this.cfg);
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    if (this.cfg.balance <= 0)
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        this.cfg.balance = ai.expectimax.bestCfg.balance;
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    if ( this.cfg.balance > 1)
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        this.cfg.balance = 1;
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   343
    if (!this.cfg.depth || this.cfg.depth < 0 || 9 <= this.cfg.depth)
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        this.cfg.depth = ai.expectimax.bestCfg.depth;
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   345
}
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   346
ai.expectimax.bestCfg = {balance: .9, depth: 5, scoreCoef: 1, maxValCoef: 0, cornerBonus: 0, edgeBonus: 0, freeBonus: 0};
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ai.expectimax.prototype.weight = function(brd) {
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   348
    var score = 0;
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    var cfg = this.cfg;
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    if (cfg.scoreCoef > 0)
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        score += cfg.scoreCoef * brd.score();
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    if (cfg.maxValCoef > 0 || cfg.cornerBonus > 0 || cfg.edgeBonus > 0) {
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   353
        var max = brd.max();
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        if (cfg.maxValCoef > 0)
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            score += cfg.maxValCoef * max;
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   356
        if (cfg.cornerBonus > 0)
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   357
            if (brd.atCorner(max))
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   358
                score += cfg.cornerBonus;
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        if (cfg.edgeBonus > 0)
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            if (brd.atEdge(max))
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   361
                score += cfg.edgeBonus;
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   362
    }
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   363
    if (cfg.freeBonus > 0)
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   364
        score += cfg.freeBonus * brd.free();
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   365
    return score;
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   366
}
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   367
ai.expectimax.prototype.analyse = function(brd) {
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   368
    this.brdCache = new ai.brdCache();
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diff changeset
   369
    var origBrd = new this.brdEngine(brd);
ed0292f0c7c6 Expectimax implementation.
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parents: 20
diff changeset
   370
    var nextBrd = new this.brdEngine();
125
fa1f44d3888d Remove comparing with next board weight if expected value differ less then threshold.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 124
diff changeset
   371
    var maxW = -1;
21
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   372
    var bestDir;
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   373
    this.cleanup();
126
e634761d0432 Increase depth limit.
Oleksandr Gavenko <gavenkoa@gmail.com>
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diff changeset
   374
    this.depthLimit = this.cfg.depth;
e634761d0432 Increase depth limit.
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parents: 125
diff changeset
   375
    var free = origBrd.free();
e634761d0432 Increase depth limit.
Oleksandr Gavenko <gavenkoa@gmail.com>
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diff changeset
   376
    if (free >= 6)
e634761d0432 Increase depth limit.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 125
diff changeset
   377
        this.depthLimit = Math.min(this.depthLimit, 6 - free/3);
21
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   378
    for (var i = 0; i < ai.dirs.length; i++) {
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   379
        var dir = ai.dirs[i];
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   380
        if (origBrd[dir](nextBrd)) {
125
fa1f44d3888d Remove comparing with next board weight if expected value differ less then threshold.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 124
diff changeset
   381
            var w = this.evalFn(nextBrd, 1);
fa1f44d3888d Remove comparing with next board weight if expected value differ less then threshold.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 124
diff changeset
   382
            if (w > maxW) {
fa1f44d3888d Remove comparing with next board weight if expected value differ less then threshold.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 124
diff changeset
   383
                maxW = w;
21
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   384
                bestDir = dir;
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   385
            }
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   386
        }
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   387
    }
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   388
    this.cleanup();
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   389
    return bestDir;
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   390
}
109
6d5a9d8b00be Renames.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 104
diff changeset
   391
ai.expectimax.prototype.evalFn = function(brd, depth) {
126
e634761d0432 Increase depth limit.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 125
diff changeset
   392
    if (depth >= this.depthLimit)
74
93cb48b73b39 Enable config for expectimax. Fix weight function for expectimax.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 60
diff changeset
   393
        return this.weight(brd);
139
4dde63ac0bb4 Make fast board cache.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 136
diff changeset
   394
    var wCached = this.brdCache.get(brd);
4dde63ac0bb4 Make fast board cache.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 136
diff changeset
   395
    if (wCached)
4dde63ac0bb4 Make fast board cache.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 136
diff changeset
   396
        return wCached;
124
4a2551dd179d Fix: expectimax select best move which lead to less danger among all worst.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 122
diff changeset
   397
    var wMin = +Infinity;
21
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   398
    for (var i = 0; i < 3; i++) {
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   399
        for (var j = 0; j < 3; j++) {
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   400
            if (brd.get(i, j) === 0) {
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   401
                var randBoard = brd.copy();
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   402
                randBoard.set(i, j, 1);
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   403
                var nextBrd = new this.brdEngine();
124
4a2551dd179d Fix: expectimax select best move which lead to less danger among all worst.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 122
diff changeset
   404
                var wMax2 = 0;
21
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   405
                for (var diri = 0; diri < ai.dirs.length; diri++) {
124
4a2551dd179d Fix: expectimax select best move which lead to less danger among all worst.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 122
diff changeset
   406
                    if (randBoard[ai.dirs[diri]](nextBrd))
4a2551dd179d Fix: expectimax select best move which lead to less danger among all worst.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 122
diff changeset
   407
                        wMax2 = Math.max(wMax2, this.evalFn(nextBrd, depth+1));
21
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   408
                }
124
4a2551dd179d Fix: expectimax select best move which lead to less danger among all worst.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 122
diff changeset
   409
                var wMax4 = 0;
136
4a143572b9d2 Fix: wrong variable scope.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 135
diff changeset
   410
                var balance = this.cfg.balance;
4a143572b9d2 Fix: wrong variable scope.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 135
diff changeset
   411
                if (balance < 1) {
74
93cb48b73b39 Enable config for expectimax. Fix weight function for expectimax.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 60
diff changeset
   412
                    randBoard.set(i, j, 2);
93cb48b73b39 Enable config for expectimax. Fix weight function for expectimax.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 60
diff changeset
   413
                    for (var diri = 0; diri < ai.dirs.length; diri++) {
124
4a2551dd179d Fix: expectimax select best move which lead to less danger among all worst.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 122
diff changeset
   414
                        if (randBoard[ai.dirs[diri]](nextBrd))
4a2551dd179d Fix: expectimax select best move which lead to less danger among all worst.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 122
diff changeset
   415
                            wMax4 = Math.max(wMax4, this.evalFn(nextBrd, depth+1));
21
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   416
                    }
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   417
                }
124
4a2551dd179d Fix: expectimax select best move which lead to less danger among all worst.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 122
diff changeset
   418
                wMin = Math.min(wMin, balance * wMax2 + (1 - balance) * wMax4);
21
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   419
            }
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   420
        }
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   421
    }
139
4dde63ac0bb4 Make fast board cache.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 136
diff changeset
   422
    this.brdCache.put(brd, wMin);
124
4a2551dd179d Fix: expectimax select best move which lead to less danger among all worst.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 122
diff changeset
   423
    return wMin;
21
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   424
}
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   425
/* Mark that next board will be unrelated to previous, so any stored precompution can be cleared. */
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   426
ai.expectimax.prototype.cleanup = function() {
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   427
}
ed0292f0c7c6 Expectimax implementation.
Oleksandr Gavenko <gavenkoa@gmail.com>
parents: 20
diff changeset
   428