import { GetServer, createUniqueRandomIp, ipExists } from "./AllServers"; import { Server, IConstructorParams } from "./Server"; import { BaseServer } from "./BaseServer"; import { calculateGrowMoney, calculateServerGrowthLog } from "./formulas/grow"; import { currentNodeMults } from "../BitNode/BitNodeMultipliers"; import { ServerConstants } from "./data/Constants"; import { Player } from "@player"; import { CompletedProgramName, LiteratureName } from "@enums"; import { Person as IPerson } from "@nsdefs"; import { Server as IServer } from "@nsdefs"; import { workerScripts } from "../Netscript/WorkerScripts"; import { killWorkerScriptByPid } from "../Netscript/killWorkerScript"; import { serverMetadata } from "./data/servers"; /** * Constructs a new server, while also ensuring that the new server * does not have a duplicate hostname/ip. */ export function safelyCreateUniqueServer(params: IConstructorParams): Server { let hostname: string = params.hostname.replace(/ /g, `-`); if (params.ip != null && ipExists(params.ip)) { params.ip = createUniqueRandomIp(); } if (GetServer(hostname) != null) { if (hostname.slice(-2) != `-0`) { hostname = `${hostname}-0`; } // Use a for loop to ensure that we don't get suck in an infinite loop somehow for (let i = 0; i < 200; ++i) { hostname = hostname.replace(/-[0-9]+$/, `-${i}`); if (GetServer(hostname) == null) { break; } } } params.hostname = hostname; return new Server(params); } /** * Returns the number of "growth cycles" needed to grow the specified server by the specified amount, taking into * account only the multiplicative factor. Does not account for the additive $1/thread. Only used for growthAnalyze. * @param server - Server being grown * @param growth - How much the server is being grown by, in DECIMAL form (e.g. 1.5 rather than 50) * @param p - Reference to Player object * @returns Number of "growth cycles" needed */ export function numCycleForGrowth(server: IServer, growth: number, cores = 1): number { if (!server.serverGrowth) return Infinity; return Math.log(growth) / calculateServerGrowthLog(server, 1, Player, cores); } /** * This function calculates the number of threads needed to grow a server from one $amount to a higher $amount * (ie, how many threads to grow this server from $200 to $600 for example). * It protects the inputs (so putting in INFINITY for targetMoney will use moneyMax, putting in a negative for start will use 0, etc.) * @param server - Server being grown * @param targetMoney - How much you want the server grown TO (not by), for instance, to grow from 200 to 600, input 600 * @param startMoney - How much you are growing the server from, for instance, to grow from 200 to 600, input 200 * @param cores - Number of cores on the host performing grow * @returns Integer threads needed by a single ns.grow call to reach targetMoney from startMoney. */ export function numCycleForGrowthCorrected( server: IServer, targetMoney: number, startMoney: number, cores = 1, person: IPerson = Player, ): number { if (!server.serverGrowth) return Infinity; const moneyMax = server.moneyMax ?? 1; if (startMoney < 0) startMoney = 0; // servers "can't" have less than 0 dollars on them if (targetMoney > moneyMax) targetMoney = moneyMax; // can't grow a server to more than its moneyMax if (targetMoney <= startMoney) return 0; // no growth --> no threads const k = calculateServerGrowthLog(server, 1, person, cores); /* To understand what is done below we need to do some math. I hope the explanation is clear enough. * First of, the names will be shortened for ease of manipulation: * n:= targetMoney (n for new), o:= startMoney (o for old), k:= calculateServerGrowthLog, x:= threads * x is what we are trying to compute. * * After growing, the money on a server is n = (o + x) * exp(k*x) * x appears in an exponent and outside it, this is usually solved using the productLog/lambert's W special function, * but it turns out that due to floating-point range issues this approach is *useless* to us, so it will be ignored. * * Instead, we proceed directly to Newton-Raphson iteration. We first rewrite the equation in * log-form, since iterating it this way has faster convergence: log(n) = log(o+x) + k*x. * Now our goal is to find the zero of f(x) = log((o+x)/n) + k*x. * (Due to the shape of the function, there will be a single zero.) * * The idea of this method is to take the horizontal position at which the horizontal axis * intersects with of the tangent of the function's curve as the next approximation. * It is equivalent to treating the curve as a line (it is called a first order approximation) * If the current approximation is x then the new approximated value is x - f(x)/f'(x) * (where f' is the derivative of f). * * In our case f(x) = log((o+x)/n) + k*x, f'(x) = d(log((o+x)/n) + k*x)/dx * = 1/(o + x) + k * And the update step is x[new] = x - (log((o+x)/n) + k*x)/(1/(o+x) + k) * We can simplify this by bringing the first term up into the fraction: * = (x * (1/(o+x) + k) - log((o+x)/n) - k*x) / (1/(o+x) + k) * = (x/(o+x) - log((o+x)/n)) / (1/(o+x) + k) [multiplying top and bottom by (o+x)] * = (x - (o+x)*log((o+x)/n)) / (1 + (o+x)*k) * * The main question to ask when using this method is "does it converge?" * (are the approximations getting better?), if it does then it does quickly. * Since the derivative is always positive but also strictly decreasing, convergence is guaranteed. * This also provides the useful knowledge that any x which starts *greater* than the solution will * undershoot across to the left, while values *smaller* than the zero will continue to find * closer approximations that are still smaller than the final value. * * Of great importance for reducing the number of iterations is starting with a good initial * guess. We use a very simple starting condition: x_0 = n - o. We *know* this will always overshot * the target, usually by a vast amount. But we can run it manually through one Newton iteration * to get a better start with nice properties: * x_1 = ((n - o) - (n - o + o)*log((n-o+o)/n)) / (1 + (n-o+o)*k) * = ((n - o) - n * log(n/n)) / (1 + n*k) * = ((n - o) - n * 0) / (1 + n*k) * = (n - o) / (1 + n*k) * We can do the same procedure with the exponential form of Newton's method, starting from x_0 = 0. * This gives x_1 = (n - o) / (1 + o*k), (full derivation omitted) which will be an overestimate. * We use a weighted average of the denominators to get the final guess: * x = (n - o) / (1 + (1/16*n + 15/16*o)*k) * The reason for this particular weighting is subtle; it is exactly representable and holds up * well under a wide variety of conditions, making it likely that the we start within 1 thread of * correct. It particularly bounds the worst-case to 3 iterations, and gives a very wide swatch * where 2 iterations is good enough. * * The accuracy of the initial guess is good for many inputs - often one iteration * is sufficient. This means the overall cost is two logs (counting the one in calculateServerGrowthLog), * possibly one exp, 5 divisions, and a handful of basic arithmetic. */ const guess = (targetMoney - startMoney) / (1 + (targetMoney * (1 / 16) + startMoney * (15 / 16)) * k); let x = guess; let diff; do { const ox = startMoney + x; // Have to use division instead of multiplication by inverse, because // if targetMoney is MIN_VALUE then inverting gives Infinity const newx = (x - ox * Math.log(ox / targetMoney)) / (1 + ox * k); diff = newx - x; x = newx; } while (diff < -1 || diff > 1); /* If we see a diff of 1 or less we know all future diffs will be smaller, and the rate of * convergence means the *sum* of the diffs will be less than 1. * In most cases, our result here will be ceil(x). */ const ccycle = Math.ceil(x); if (ccycle - x > 0.999999) { // Rounding-error path: It's possible that we slightly overshot the integer value due to // rounding error, and more specifically precision issues with log and the size difference of // startMoney vs. x. See if a smaller integer works. Most of the time, x was not close enough // that we need to try. const fcycle = ccycle - 1; if (targetMoney <= (startMoney + fcycle) * Math.exp(k * fcycle)) { return fcycle; } } if (ccycle >= x + ((diff <= 0 ? -diff : diff) + 0.000001)) { // Fast-path: We know the true value is somewhere in the range [x, x + |diff|] but the next // greatest integer is past this. Since we have to round up grows anyway, we can return this // with no more calculation. We need some slop due to rounding errors - we can't fast-path // a value that is too small. return ccycle; } if (targetMoney <= (startMoney + ccycle) * Math.exp(k * ccycle)) { return ccycle; } return ccycle + 1; } //Applied server growth for a single server. Returns the percentage growth export function processSingleServerGrowth(server: Server, threads: number, cores = 1): number { const oldMoneyAvailable = server.moneyAvailable; server.moneyAvailable = calculateGrowMoney(server, threads, Player, cores); // if there was any growth at all, increase security if (oldMoneyAvailable !== server.moneyAvailable) { let usedCycles = numCycleForGrowthCorrected(server, server.moneyAvailable, oldMoneyAvailable, cores); // Growing increases server security twice as much as hacking usedCycles = Math.min(Math.max(0, Math.ceil(usedCycles)), threads); server.fortify(2 * ServerConstants.ServerFortifyAmount * usedCycles); } return server.moneyAvailable / oldMoneyAvailable; } export function prestigeHomeComputer(homeComp: Server): void { const hasBitflume = homeComp.programs.includes(CompletedProgramName.bitFlume); homeComp.programs.length = 0; //Remove programs homeComp.serversOnNetwork = []; homeComp.isConnectedTo = true; homeComp.ramUsed = 0; homeComp.programs.push(CompletedProgramName.nuke); if (hasBitflume) { homeComp.programs.push(CompletedProgramName.bitFlume); } homeComp.messages.length = 0; //Remove .lit and .msg files homeComp.messages.push(LiteratureName.HackersStartingHandbook); if (homeComp.runningScriptMap.size !== 0) { // Temporary verbose logging section to gather data on a bug console.error("Some runningScripts were still present on home during prestige"); for (const [scriptKey, byPidMap] of homeComp.runningScriptMap) { console.error(`script key: ${scriptKey}: ${byPidMap.size} scripts`); for (const pid of byPidMap.keys()) { if (workerScripts.has(pid)) killWorkerScriptByPid(pid); } byPidMap.clear(); } homeComp.runningScriptMap.clear(); } } // Returns the i-th server on the specified server's network // A Server's serverOnNetwork property holds only the IPs. This function returns // the actual Server object export function getServerOnNetwork(server: BaseServer, i: number): BaseServer | null { if (i > server.serversOnNetwork.length) { console.error("Tried to get server on network that was out of range"); return null; } return GetServer(server.serversOnNetwork[i]); } export function isBackdoorInstalled(server: BaseServer): boolean { if (server instanceof Server) { return server.backdoorInstalled; } return false; } export function isBackdoorInstalledInCompanyServer(companyName: string): boolean { const serverMeta = serverMetadata.find((s) => s.specialName === companyName); const server = GetServer(serverMeta ? serverMeta.hostname : ""); if (!server) { return false; } return isBackdoorInstalled(server); } export function getCoreBonus(cores = 1): number { const coreBonus = 1 + (cores - 1) / 16; return coreBonus; } export function getWeakenEffect(threads: number, cores: number): number { const coreBonus = getCoreBonus(cores); return ServerConstants.ServerWeakenAmount * threads * coreBonus * currentNodeMults.ServerWeakenRate; }