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| 1 | +/** |
| 2 | + * @license |
| 3 | + * Copyright 2019 Google LLC. All Rights Reserved. |
| 4 | + * Licensed under the Apache License, Version 2.0 (the "License"); |
| 5 | + * you may not use this file except in compliance with the License. |
| 6 | + * You may obtain a copy of the License at |
| 7 | + * |
| 8 | + * http://www.apache.org/licenses/LICENSE-2.0 |
| 9 | + * |
| 10 | + * Unless required by applicable law or agreed to in writing, software |
| 11 | + * distributed under the License is distributed on an "AS IS" BASIS, |
| 12 | + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| 13 | + * See the License for the specific language governing permissions and |
| 14 | + * limitations under the License. |
| 15 | + * ============================================================================= |
| 16 | + */ |
| 17 | + |
| 18 | +/** |
| 19 | + * This file implements a two player card game similar to a much simplified game |
| 20 | + * of Poker. The cards range in value from 1 to GAME_STATE.max_card_value, and |
| 21 | + * each player receives three cards, drawn uniformly from the integers in the |
| 22 | + * range [1, GAME_STATE.max_card_value]. One player wins by having a better |
| 23 | + * hand. |
| 24 | + * |
| 25 | + * Any triple (three of the same card) beats any double. |
| 26 | + * Any double (two of the same card) beats any single. |
| 27 | + * If both players have a triple, the higher triple wins. |
| 28 | + * If both players have a double, the higher double wins. |
| 29 | + * If neither player has a double, the player with the highest |
| 30 | + * individual number wins. |
| 31 | + * Ties are settled randomly, 50/50. |
| 32 | + */ |
| 33 | + |
| 34 | +// Global exported state tracking the rules of the game and how many games have |
| 35 | +// been played so far. Individual fields may be read / changed by external |
| 36 | +// control. |
| 37 | +export const GAME_STATE = { |
| 38 | + // The number of times the game has been played. Useful |
| 39 | + // for illustrating how many simulations it takes to train the model. |
| 40 | + num_simulations_so_far: 0, |
| 41 | + // Constants defining the range of card values. |
| 42 | + min_card_value: 1, |
| 43 | + max_card_value: 13, |
| 44 | + // Controls how many cards per hand. Controlable from a UI element. |
| 45 | + num_cards_per_hand: 3 |
| 46 | +}; |
| 47 | + |
| 48 | +/** |
| 49 | + * Returns a random integer in the range [GAME_STATE.min_card_value, |
| 50 | + * GAME_STATE.max_card_value] |
| 51 | + */ |
| 52 | +export function getRandomDigit() { |
| 53 | + return Math.floor( |
| 54 | + GAME_STATE.min_card_value + Math.random() * GAME_STATE.max_card_value); |
| 55 | +} |
| 56 | + |
| 57 | +/** |
| 58 | + * Yields a randomly generated array of three elements. Each element |
| 59 | + * is an integer randomly selected within the range [1, 9]. Hands are returned |
| 60 | + * in sorted order. |
| 61 | + */ |
| 62 | +export function randomHand() { |
| 63 | + const hand = []; |
| 64 | + for (let i = 0; i < GAME_STATE.num_cards_per_hand; i++) { |
| 65 | + hand.push(getRandomDigit()); |
| 66 | + } |
| 67 | + return hand.sort((a, b) => a - b); |
| 68 | +} |
| 69 | + |
| 70 | +/** |
| 71 | + * This function produces an array indicating the largest face value for |
| 72 | + * every possible group size (1 card, 1 pair, 3-of-a-kind, 4-of-a-kind, etc.), |
| 73 | + * in the hand. Zeros indicate there are no groups of that size. |
| 74 | + * |
| 75 | + * E.g., if this function returns [9, 3, 0, 0, 0, 0] it indicates that |
| 76 | + * - The highest card is a 9 |
| 77 | + * - The highest double is of a 3 |
| 78 | + * - There are no triples etc. |
| 79 | + * |
| 80 | + * This could result if the hand were, e.g, [1, 2, 2, 3, 3, 9] |
| 81 | + * |
| 82 | + * @param {number[]} hand A sorted integer array of length |
| 83 | + * GAME_STATE.num_cards_per_hand |
| 84 | + * @returns {number[]} An array of the face value of the largest value for each |
| 85 | + * group size. Zero indicates there are no examples of that group size in |
| 86 | + * the hand, if, for instance, there are no triples. |
| 87 | + */ |
| 88 | +export function handScoringHelper(hand) { |
| 89 | + // Create an array of all zeros of the appropriate size. |
| 90 | + const faceValOfEachGroup = []; |
| 91 | + for (let i = 0; i < GAME_STATE.num_cards_per_hand; i++) { |
| 92 | + faceValOfEachGroup.push(0); |
| 93 | + } |
| 94 | + let runLength = 0; |
| 95 | + let prevVal = 0; |
| 96 | + for (let i = 0; i < GAME_STATE.num_cards_per_hand; i++) { |
| 97 | + const card = hand[i]; |
| 98 | + if (card == prevVal) { |
| 99 | + runLength += 1; |
| 100 | + } else { |
| 101 | + prevVal = card; |
| 102 | + runLength = 1; |
| 103 | + } |
| 104 | + faceValOfEachGroup[runLength - 1] = card; |
| 105 | + } |
| 106 | + return faceValOfEachGroup; |
| 107 | +} |
| 108 | + |
| 109 | +/** |
| 110 | + * Returns 1 if hand1 beats hand2, in terms of hand value. |
| 111 | + * Returns 0 if hand1 is less than hand2. |
| 112 | + * In the event of a tie, return 0 or 1 randomly with even odds. |
| 113 | + * @param {number[]} hand1 ordered list of numbers representing Player 1's hand. |
| 114 | + * @param {number[]} hand2 ordered list of numbers representing Player 2's hand. |
| 115 | + * @returns {number} 1 or 0 indicating Player 1's win or loss, respectively. |
| 116 | + */ |
| 117 | +export function compareHands(hand1, hand2) { |
| 118 | + const handScore1 = handScoringHelper(hand1); |
| 119 | + const handScore2 = handScoringHelper(hand2); |
| 120 | + // In descending order of group size, decide if one hand is better. |
| 121 | + for (let group = GAME_STATE.num_cards_per_hand - 1; group >= 0; group--) { |
| 122 | + if (handScore1[group] > handScore2[group]) { |
| 123 | + return 1; |
| 124 | + } |
| 125 | + if (handScore1[group] < handScore2[group]) { |
| 126 | + return 0; |
| 127 | + } |
| 128 | + } |
| 129 | + // Break a tie by flipping a fair coin. |
| 130 | + if (Math.random() > 0.5) { |
| 131 | + return 1; |
| 132 | + } |
| 133 | + return 0; |
| 134 | +} |
| 135 | + |
| 136 | +/** |
| 137 | + * Returns an object representing one complete play of the game. |
| 138 | + * Generates two random hands, and the value of the hand comparison. |
| 139 | + * Returns [hand1, hand2, whetherHand1Wins. |
| 140 | + */ |
| 141 | +export function generateOnePlay() { |
| 142 | + const player1Hand = randomHand(); |
| 143 | + const player2Hand = randomHand(); |
| 144 | + const player1Win = compareHands(player1Hand, player2Hand); |
| 145 | + GAME_STATE.num_simulations_so_far++; |
| 146 | + return {player1Hand, player2Hand, player1Win}; |
| 147 | +} |
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