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import {
AttackDie,
AttackResult,
CampaignResult,
DefenseDie,
DefenseResult,
toAttackResult,
toDefenseResult,
} from "./oath";
import { replace } from "./utils";
/**
* Lists all possible results of an attack roll.
*
* @param {number} diceNumber
* Number of attack (red) dice to roll.
* @returns {WithOdds<AttackResult>[]}
* All possible results of rolling this number of attack dice.
*/
function rollAttack(diceNumber: number): WithOdds<AttackResult>[] {
return roll(
AttackDie,
diceNumber,
toAttackResult,
(a, b) => a.attack === b.attack && a.kill === b.kill
);
}
/**
* Lists all possible results of defense roll.
*
* @param {number} diceNumber
* Number of defense (blue) dice to roll.
* @returns {WithOdds<DefenseResult>[]}
* All possible results of rolling this number of defense dice.
*/
function rollDefense(diceNumber: number): WithOdds<DefenseResult>[] {
return roll(
DefenseDie,
diceNumber,
toDefenseResult,
(a, b) => a.defense === b.defense
);
}
/**
* Lists all possible results of a campaign in Oath along with their odds.
*
* @param {number} attackDice
* Number of attack (red) dice to roll.
* @param {number} defenseDice
* Number of defense (blue) dice to roll.
* @returns {CampaignResultWithOdds[]}
* All possible results for this campaign along with their odds.
*/
export function rollCampaign(
attackDice: number,
defenseDice: number
): WithOdds<CampaignResult>[] {
const attackRoll = rollAttack(attackDice);
const defenseRoll = rollDefense(defenseDice);
const product = cartesianProduct<any>(attackRoll, defenseRoll);
return product.map((pair) =>
merge(pair as [WithOdds<AttackResult>, WithOdds<DefenseResult>])
);
}
function merge(
attackDefensePair: [WithOdds<AttackResult>, WithOdds<DefenseResult>]
): WithOdds<CampaignResult> {
const [attack, defense] = attackDefensePair;
return {
oddsOfValue: attack.oddsOfValue.multiply(defense.oddsOfValue),
value: { ...attack.value, ...defense.value },
};
}
/**
* Type to hold information about a campaign success.
*/
export interface CampaignSuccess {
/** Remaining warbands in attacking force after warbands have been killed
* from the dice roll and sacrificed.
*/
remainingWarbands: number;
/** Odds of this particular campaign success. */
odds: Fraction;
}
/**
* Computes the remaining warbands in attacking force by applying the kills
* from the dice roll and sacrificing the number of warbands needed to succeed.
* If the result is negative, it means by this campaign can't be a success (not
* enough warbands to sacrifice).
*
* @param {CampaignResult} result
* The campaign result.
* @param {number} attackingForceWarbands
* The number of warbands in attacking force.
* @param {number} defendingForceWarbands
* The number of warbands in defending force.
* @returns {number | null}
* The remaining warbands or null if the campaign is a loss.
*/
function remainingWarbandsAfterSacrifice(
result: CampaignResult,
attackingForceWarbands: number,
defendingForceWarbands: number
): number | null {
const warbandsAfterKill = attackingForceWarbands - result.kill;
const attackVsDefense =
result.attack - result.defense - defendingForceWarbands;
if (attackVsDefense > 0) {
return warbandsAfterKill;
} else {
const warbandsToSacrifice = 1 - attackVsDefense;
if (warbandsToSacrifice > warbandsAfterKill) {
return null;
} else {
return warbandsAfterKill - warbandsToSacrifice;
}
}
}
export function computeCampaignSuccess(
attackDice: number,
attackingForceWarbands: number,
defenseDice: number,
defendingForceWarbands: number
): CampaignSuccess[] {
const possibleResults = rollCampaign(attackDice, defenseDice);
const successes = possibleResults.filter(
(result) =>
remainingWarbandsAfterSacrifice(
result.value,
attackingForceWarbands,
defendingForceWarbands
) !== null
);
const groupedByRemainingWarbands: CampaignSuccess[] = successes.reduce(
(acc: CampaignSuccess[], result: WithOdds<CampaignResult>) => {
const remainingWarbands = remainingWarbandsAfterSacrifice(
result.value,
attackingForceWarbands,
defendingForceWarbands
);
if (acc.length === 0) {
return [
{
odds: result.oddsOfValue,
remainingWarbands,
},
];
} else {
// Find an equivalent set
const matchingIndex = acc.findIndex(
(item) => item.remainingWarbands === remainingWarbands
);
if (matchingIndex > -1) {
// Update the existing set by adding the odds
const updated = {
odds: acc[matchingIndex].odds.add(result.oddsOfValue),
remainingWarbands: acc[matchingIndex].remainingWarbands,
};
return replace(acc, matchingIndex, updated);
} else {
// Add the set
return [
...acc,
{
odds: result.oddsOfValue,
remainingWarbands,
},
];
}
}
},
[]
);
return groupedByRemainingWarbands.sort((a, b) =>
a.remainingWarbands < b.remainingWarbands
? -1
: a.remainingWarbands > b.remainingWarbands
? 1
: 0
);
}
export { Fraction } from "./math";
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