X-Git-Url: http://git.scottworley.com/planeteer/blobdiff_plain/5f1a50e1c7d4ae2908197673d5dbf948b3509a8f..ad4de13f9695527db4337f61bc3397d34d04c7f6:/planeteer.go diff --git a/planeteer.go b/planeteer.go index bc47c3d..7e915d2 100644 --- a/planeteer.go +++ b/planeteer.go @@ -18,32 +18,80 @@ package main import "flag" +import "fmt" import "json" import "os" -import "fmt" +import "strings" + +var funds = flag.Int("funds", 0, + "Starting funds") + +var start = flag.String("start", "", + "The planet to start at") -var datafile = flag.String("planet_data_file", "planet-data", +var flight_plan_string = flag.String("flight_plan", "", + "Your hidey-holes for the day, comma-separated.") + +var end = flag.String("end", "", + "A comma-separated list of acceptable ending planets.") + +var planet_data_file = flag.String("planet_data_file", "planet-data", "The file to read planet data from") +var fuel = flag.Int("fuel", 16, "Reactor units") + +var hold = flag.Int("hold", 300, "Size of your cargo hold") + +var start_edens = flag.Int("start_edens", 0, + "How many Eden Warp Units are you starting with?") + +var end_edens = flag.Int("end_edens", 0, + "How many Eden Warp Units would you like to keep (not use)?") + +var cloak = flag.Bool("cloak", false, + "Make sure to end with a Device of Cloaking") + +var drones = flag.Int("drones", 0, "Buy this many Fighter Drones") + +var batteries = flag.Int("batteries", 0, "Buy this many Shield Batterys") + +var visit_string = flag.String("visit", "", + "A comma-separated list of planets to make sure to visit") + +func visit() []string { + if *visit_string == "" { + return []string{} + } + return strings.Split(*visit_string, ",") +} + +func flight_plan() []string { + if *flight_plan_string == "" { + return []string{} + } + return strings.Split(*flight_plan_string, ",") +} + type Commodity struct { BasePrice int CanSell bool Limit int } type Planet struct { - Name string BeaconOn bool /* Use relative prices rather than absolute prices because you can get relative prices without traveling to each planet. */ - RelativePrices map [string] int + RelativePrices map[string]int } type planet_data struct { - Commodities map [string] Commodity - Planets []Planet + Commodities map[string]Commodity + Planets map[string]Planet + p2i, c2i map[string]int // Generated; not read from file + i2p, i2c []string // Generated; not read from file } func ReadData() (data planet_data) { - f, err := os.Open(*datafile) + f, err := os.Open(*planet_data_file) if err != nil { panic(err) } @@ -55,75 +103,392 @@ func ReadData() (data planet_data) { return } -/* What is the value of hauling 'commodity' from 'from' to 'to'? - * Take into account the available funds and the available cargo space. */ -func TradeValue(data planet_data, - from, to *Planet, - commodity string, - initial_funds, max_quantity int) int { - if !data.Commodities[commodity].CanSell { - return 0 +/* This program operates by filling in a state table representing the best + * possible trips you could make; the ones that makes you the most money. + * This is feasible because we don't look at all the possible trips. + * We define a list of things that are germane to this game and then only + * consider the best outcome in each possible game state. + * + * Each cell in the table represents a state in the game. In each cell, + * we track two things: 1. the most money you could possibly have while in + * that state and 2. one possible way to get into that state with that + * amount of money. + * + * A basic analysis can be done with a two-dimensional table: location and + * fuel. planeteer-1.0 used this two-dimensional table. This version + * adds features mostly by adding dimensions to this table. + * + * Note that the sizes of each dimension are data driven. Many dimensions + * collapse to one possible value (ie, disappear) if the corresponding + * feature is not enabled. + * + * The order of the dimensions in the list of constants below determines + * their layout in RAM. The cargo-based 'dimensions' are not completely + * independent -- some combinations are illegal and not used. They are + * handled as three dimensions rather than one for simplicity. Placing + * these dimensions first causes the unused cells in the table to be + * grouped together in large blocks. This keeps them from polluting + * cache lines, and if they are large enough, prevent the memory manager + * from allocating pages for these areas at all. + * + * If the table gets too big to fit in RAM: + * * Combine the Edens, Cloaks, and UnusedCargo dimensions. Of the + * 24 combinations, only 15 are legal: a 38% savings. + * * Reduce the size of the Fuel dimension to 3. We only ever look + * backwards 2 units, so just rotate the logical values through + * the same 3 physical addresses. This is good for an 82% savings. + * * Reduce the size of the Edens dimension from 3 to 2, for the + * same reasons as Fuel above. 33% savings. + * * Buy more ram. (Just sayin'. It's cheaper than you think.) + * + */ + +// The official list of dimensions: +const ( + // Name Num Size Description + Edens = iota // 1 3 # of Eden warp units (0 - 2 typically) + Cloaks // 2 2 # of Devices of Cloaking (0 or 1) + UnusedCargo // 3 4 # of unused cargo spaces (0 - 3 typically) + Fuel // 4 17 Reactor power left (0 - 16) + Location // 5 26 Location (which planet) + Hold // 6 15 Cargo bay contents (a *Commodity or nil) + NeedFighters // 7 2 Errand: Buy fighter drones (needed or not) + NeedShields // 8 2 Errand: Buy shield batteries (needed or not) + Visit // 9 2**N Visit: Stop by these N planets in the route + + NumDimensions +) + +func bint(b bool) int { + if b { + return 1 + } + return 0 +} + +func DimensionSizes(data planet_data) []int { + eden_capacity := data.Commodities["Eden Warp Units"].Limit + if *start_edens > eden_capacity { + eden_capacity = *start_edens + } + cloak_capacity := bint(*cloak) + dims := make([]int, NumDimensions) + dims[Edens] = eden_capacity + 1 + dims[Cloaks] = cloak_capacity + 1 + dims[UnusedCargo] = eden_capacity + cloak_capacity + 1 + dims[Fuel] = *fuel + 1 + dims[Location] = len(data.Planets) + dims[Hold] = len(data.Commodities) + dims[NeedFighters] = bint(*drones > 0) + 1 + dims[NeedShields] = bint(*batteries > 0) + 1 + dims[Visit] = 1 << uint(len(visit())) + + // Remind myself to add a line above when adding new dimensions + for i, dim := range dims { + if dim < 1 { + panic(i) + } + } + return dims +} + +func StateTableSize(dims []int) int { + product := 1 + for _, size := range dims { + product *= size + } + return product +} + +type State struct { + value, from int +} + +func EncodeIndex(dims, addr []int) int { + index := addr[0] + if addr[0] > dims[0] { + panic(0) } - from_relative_price, from_available := from.RelativePrices[commodity] - if !from_available { - return 0 + for i := 1; i < NumDimensions; i++ { + if addr[i] > dims[i] { + panic(i) + } + index = index*dims[i] + addr[i] } - to_relative_price, to_available := to.RelativePrices[commodity] - if !to_available { - return 0 + return index +} + +func DecodeIndex(dims []int, index int) []int { + addr := make([]int, NumDimensions) + for i := NumDimensions - 1; i > 0; i-- { + addr[i] = index % dims[i] + index /= dims[i] } + addr[0] = index + return addr +} + +func InitializeStateTable(data planet_data, dims []int) []State { + table := make([]State, StateTableSize(dims)) + addr := make([]int, NumDimensions) + addr[Fuel] = *fuel + addr[Edens] = *start_edens + addr[Location] = data.p2i[*start] + table[EncodeIndex(dims, addr)].value = *funds + + return table +} + +/* These four fill procedures fill in the cell at address addr by + * looking at all the possible ways to reach this cell and selecting + * the best one. + * + * The other obvious implementation choice is to do this the other way + * around -- for each cell, conditionally overwrite all the other cells + * that are reachable *from* the considered cell. We choose gathering + * reads over scattering writes to avoid having to take a bunch of locks. + */ + +func UpdateCell(table []State, here, there, value_difference int) { + possible_value := table[there].value + value_difference + if table[there].value > 0 && possible_value > table[here].value { + table[here].value = possible_value + table[here].from = there + } +} + +func FillCellByArriving(data planet_data, dims []int, table []State, addr []int) { + my_index := EncodeIndex(dims, addr) + other := make([]int, NumDimensions) + copy(other, addr) + + /* Travel here via a 2-fuel unit jump */ + if addr[Fuel]+2 < dims[Fuel] { + other[Fuel] = addr[Fuel] + 2 + for other[Location] = 0; other[Location] < dims[Location]; other[Location]++ { + UpdateCell(table, my_index, EncodeIndex(dims, other), 0) + } + other[Location] = addr[Location] + other[Fuel] = addr[Fuel] + } + + /* Travel here via a hidey hole */ + if addr[Fuel]+1 < dims[Fuel] { + hole_index := (dims[Fuel] - 1) - (addr[Fuel] + 1) + if hole_index < len(flight_plan()) { + other[Fuel] = addr[Fuel] + 1 + other[Location] = data.p2i[flight_plan()[hole_index]] + UpdateCell(table, my_index, EncodeIndex(dims, other), 0) + other[Location] = addr[Location] + other[Fuel] = addr[Fuel] + } + } + + /* Travel here via Eden Warp Unit */ + for other[Edens] = addr[Edens] + 1; other[Edens] < dims[Edens]; other[Edens]++ { + for other[Location] = 0; other[Location] < dims[Location]; other[Location]++ { + UpdateCell(table, my_index, EncodeIndex(dims, other), 0) + } + } + other[Location] = addr[Location] + other[Edens] = addr[Edens] +} + +func FillCellBySelling(data planet_data, dims []int, table []State, addr []int) { + if addr[Hold] > 0 { + // Can't sell and still have cargo + return + } + if addr[UnusedCargo] > 0 { + // Can't sell everything and still have 'unused' holds + return + } + my_index := EncodeIndex(dims, addr) + other := make([]int, NumDimensions) + copy(other, addr) + planet := data.i2p[addr[Location]] + for other[Hold] = 0; other[Hold] < dims[Hold]; other[Hold]++ { + commodity := data.i2c[other[Hold]] + if !data.Commodities[commodity].CanSell { + // TODO: Dump cargo + continue + } + relative_price, available := data.Planets[planet].RelativePrices[commodity] + if !available { + continue + } + base_price := data.Commodities[commodity].BasePrice + absolute_price := relative_price * base_price + sell_price := int(float64(absolute_price) * 0.9) + + for other[UnusedCargo] = 0; other[UnusedCargo] < dims[UnusedCargo]; other[UnusedCargo]++ { + + quantity := *hold - other[UnusedCargo] // TODO: Partial sales + sale_value := quantity * sell_price + UpdateCell(table, my_index, EncodeIndex(dims, other), sale_value) + } + } + other[UnusedCargo] = addr[UnusedCargo] +} + +func FillCellByBuying(data planet_data, dims []int, table []State, addr []int) { + if addr[Hold] == 0 { + // Can't buy and then have nothing + return + } + my_index := EncodeIndex(dims, addr) + other := make([]int, NumDimensions) + copy(other, addr) + planet := data.i2p[addr[Location]] + commodity := data.i2c[addr[Hold]] + if !data.Commodities[commodity].CanSell { + return + } + relative_price, available := data.Planets[planet].RelativePrices[commodity] + if !available { + return + } base_price := data.Commodities[commodity].BasePrice - from_absolute_price := from_relative_price * base_price - to_absolute_price := to_relative_price * base_price - buy_price := from_absolute_price - sell_price := int(float64(to_absolute_price) * 0.9) - var can_afford int = initial_funds / buy_price - quantity := can_afford - if quantity > max_quantity { - quantity = max_quantity - } - return (sell_price - buy_price) * max_quantity -} - -func FindBestTrades(data planet_data) [][]string { - best := make([][]string, len(data.Planets)) - for from_index, from_planet := range data.Planets { - best[from_index] = make([]string, len(data.Planets)) - for to_index, to_planet := range data.Planets { - best_gain := 0 - price_list := from_planet.RelativePrices - if len(to_planet.RelativePrices) < len(from_planet.RelativePrices) { - price_list = to_planet.RelativePrices - } - for commodity := range price_list { - gain := TradeValue(data, - &from_planet, - &to_planet, - commodity, - 10000000, - 1) - if gain > best_gain { - best[from_index][to_index] = commodity - gain = best_gain + absolute_price := relative_price * base_price + quantity := *hold - addr[UnusedCargo] + total_price := quantity * absolute_price + other[Hold] = 0 + UpdateCell(table, my_index, EncodeIndex(dims, other), -total_price) +} + +func FillCellByMisc(data planet_data, dims []int, table []State, addr []int) { + /* Buy Eden warp units */ + /* Buy a Device of Cloaking */ + /* Silly: Dump a Device of Cloaking */ + /* Buy Fighter Drones */ + /* Buy Shield Batteries */ + /* Visit this planet */ +} + +func FillStateTable2Iteration(data planet_data, dims []int, table []State, +addr []int, f func(planet_data, []int, []State, []int)) { + /* TODO: Justify the safety of the combination of this dimension + * iteration and the various phases f. */ + for addr[Hold] = 0; addr[Hold] < dims[Hold]; addr[Hold]++ { + for addr[Cloaks] = 0; addr[Cloaks] < dims[Cloaks]; addr[Cloaks]++ { + for addr[UnusedCargo] = 0; addr[UnusedCargo] < dims[UnusedCargo]; addr[UnusedCargo]++ { + for addr[NeedFighters] = 0; addr[NeedFighters] < dims[NeedFighters]; addr[NeedFighters]++ { + for addr[NeedShields] = 0; addr[NeedShields] < dims[NeedShields]; addr[NeedShields]++ { + for addr[Visit] = 0; addr[Visit] < dims[Visit]; addr[Visit]++ { + f(data, dims, table, addr) + } + } } } } } - return best } -func main() { - flag.Parse() - data := ReadData() - best_trades := FindBestTrades(data) - for from_index, from_planet := range data.Planets { - for to_index, to_planet := range data.Planets { - best_trade := "(nothing)" - if best_trades[from_index][to_index] != "" { - best_trade = best_trades[from_index][to_index] +func FillStateTable2(data planet_data, dims []int, table []State, +fuel_remaining, edens_remaining int, planet string, barrier chan<- bool) { + addr := make([]int, len(dims)) + addr[Edens] = edens_remaining + addr[Fuel] = fuel_remaining + addr[Location] = data.p2i[planet] + FillStateTable2Iteration(data, dims, table, addr, FillCellByArriving) + FillStateTable2Iteration(data, dims, table, addr, FillCellBySelling) + FillStateTable2Iteration(data, dims, table, addr, FillCellByBuying) + FillStateTable2Iteration(data, dims, table, addr, FillCellByMisc) + barrier <- true +} + +/* Filling the state table is a set of nested for loops NumDimensions deep. + * We split this into two procedures: 1 and 2. #1 is the outer, slowest- + * changing indexes. #1 fires off many calls to #2 that run in parallel. + * The order of the nesting of the dimensions, the order of iteration within + * each dimension, and where the 1 / 2 split is placed are carefully chosen + * to make this arrangement safe. + * + * Outermost two layers: Go from high-energy states (lots of fuel, edens) to + * low-energy state. These must be processed sequentially and in this order + * because you travel through high-energy states to get to the low-energy + * states. + * + * Third layer: Planet. This is a good layer to parallelize on. There's + * high enough cardinality that we don't have to mess with parallelizing + * multiple layers for good utilization (on 2011 machines). Each thread + * works on one planet's states and need not synchronize with peer threads. + */ +func FillStateTable1(data planet_data, dims []int, table []State) { + barrier := make(chan bool, len(data.Planets)) + eden_capacity := data.Commodities["Eden Warp Units"].Limit + work_units := (float64(*fuel) + 1) * (float64(eden_capacity) + 1) + work_done := 0.0 + for fuel_remaining := *fuel; fuel_remaining >= 0; fuel_remaining-- { + for edens_remaining := eden_capacity; edens_remaining >= 0; edens_remaining-- { + for planet := range data.Planets { + go FillStateTable2(data, dims, table, fuel_remaining, + edens_remaining, planet, barrier) + } + for _ = range data.Planets { + <-barrier } - fmt.Printf("%s to %s: %s\n", from_planet.Name, to_planet.Name, best_trade) + work_done++ + fmt.Printf("\r%3.0f%%", 100*work_done/work_units) } } + print("\n") +} + +func FindBestState(data planet_data, dims []int, table []State) int { + addr := make([]int, NumDimensions) + addr[Edens] = *end_edens + addr[Cloaks] = dims[Cloaks] - 1 + addr[NeedFighters] = dims[NeedFighters] - 1 + addr[NeedShields] = dims[NeedShields] - 1 + addr[Visit] = dims[Visit] - 1 + // Fuel, Hold, UnusedCargo left at 0 + var max_index int + max_value := 0 + for addr[Location] = 0; addr[Location] < dims[Location]; addr[Location]++ { + index := EncodeIndex(dims, addr) + if table[index].value > max_value { + max_value = table[index].value + max_index = index + } + } + return max_index +} + +// (Example of a use case for generics in Go) +func IndexPlanets(m *map[string]Planet, start_at int) (map[string]int, []string) { + e2i := make(map[string]int, len(*m)+start_at) + i2e := make([]string, len(*m)+start_at) + i := start_at + for e := range *m { + e2i[e] = i + i2e[i] = e + i++ + } + return e2i, i2e +} +func IndexCommodities(m *map[string]Commodity, start_at int) (map[string]int, []string) { + e2i := make(map[string]int, len(*m)+start_at) + i2e := make([]string, len(*m)+start_at) + i := start_at + for e := range *m { + e2i[e] = i + i2e[i] = e + i++ + } + return e2i, i2e +} + +func main() { + flag.Parse() + data := ReadData() + data.p2i, data.i2p = IndexPlanets(&data.Planets, 0) + data.c2i, data.i2c = IndexCommodities(&data.Commodities, 1) + dims := DimensionSizes(data) + table := InitializeStateTable(data, dims) + FillStateTable1(data, dims, table) + best := FindBestState(data, dims, table) + fmt.Printf("Best state: %v (%v) with $%v\n", + best, DecodeIndex(dims, best), table[best].value) }