Ore geography: yields, provinces cut inside boss-zone regions, types dealt per region
FieldYield and FieldKindData.Yields (key 3), ProvinceData, FieldKinds.Pick/Assign/Ensure/Yield with a province type, Provinces.Regions/Partition/Deal, Galaxy.Provinces built once by the generation and save constructors, SavedGame key 15 and SavedZone key 6, ProvinceZones setting. Not yet built or run; tests follow in the next commit. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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d92d77483f
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8 changed files with 347 additions and 28 deletions
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@ -113,7 +113,8 @@ public class AsteroidBeltData : BodyData
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}
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// Mining Cut 3 (docs/mining-cut-refresh.md, Q11): a kind of debris field, an authored catalog record. A chunk's
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// reflectivity comes from its field's kind; Cut 5 adds the yield table.
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// reflectivity comes from its field's kind; its yields (ore geography, ruling ores-are-regional) are the ores a belt of
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// this kind holds before a province weights them. FieldKinds.Yield is the one reader.
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[CultDocument("aetheria.fieldkinddata", "1"), MessagePackObject, JsonObject(MemberSerialization.OptIn)]
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public class FieldKindData
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{
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@ -128,41 +129,282 @@ public class FieldKindData
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// How often generation picks this kind, relative to the others (FieldKinds.Assign). Zero never picks it.
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[JsonProperty("generationWeight"), Key(2)]
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public float GenerationWeight = 1;
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// The ores a belt of this kind holds. Empty on a kind from before this key (MessagePack leaves a missing trailing key at its default).
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[JsonProperty("yields"), Key(3)]
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public List<FieldYield> Yields = new List<FieldYield>();
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}
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// Mining Cut 3 (Q16 B): the one owner of which kind a belt is.
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// One ore a kind of field holds: Abundance of Commodity before the belt's province weights it. A Regional ore is held only
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// where the province lists it (ruling ores-are-regional: some ores exist only in some provinces); any other entry is held
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// everywhere, scaled by the province's factor for it.
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[MessagePackObject, JsonObject(MemberSerialization.OptIn)]
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public class FieldYield
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{
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[JsonProperty("commodity"), Key(0)]
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public CultRecordRef<SimpleCommodityData> Commodity;
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[JsonProperty("abundance"), Key(1)]
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public float Abundance;
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[JsonProperty("regional"), Key(2)]
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public bool Regional;
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}
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// Ore geography (rulings provinces-within-regions, ores-are-regional): a kind of ground, authored. A region deals its
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// provinces' types from a deck holding GenerationWeight cards of each type (ruling province-types-dealt-per-region);
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// a province's type weights which kinds its belts draw and which ores a kind holds there.
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[CultDocument("aetheria.provincedata", "1"), MessagePackObject, JsonObject(MemberSerialization.OptIn)]
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public class ProvinceData
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{
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[CultName, JsonProperty("name"), Key(0)]
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public string Name = "";
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// The number of cards of this type in a region's deck. Zero is never dealt.
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[JsonProperty("generationWeight"), Key(1)]
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public int GenerationWeight = 1;
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// Multiplies the kind's own GenerationWeight in a belt's draw; a kind not listed is multiplied by one.
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[JsonProperty("kinds"), Key(2)]
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public List<ProvinceKindWeight> Kinds = new List<ProvinceKindWeight>();
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// Multiplies an ore's Abundance wherever it is held; an ore not listed is multiplied by one, or by zero when the
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// kind's entry for it is Regional.
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[JsonProperty("ores"), Key(3)]
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public List<ProvinceOre> Ores = new List<ProvinceOre>();
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}
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[MessagePackObject, JsonObject(MemberSerialization.OptIn)]
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public class ProvinceKindWeight
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{
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[JsonProperty("kind"), Key(0)]
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public CultRecordRef<FieldKindData> Kind;
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[JsonProperty("weight"), Key(1)]
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public float Weight = 1;
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}
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[MessagePackObject, JsonObject(MemberSerialization.OptIn)]
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public class ProvinceOre
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{
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[JsonProperty("commodity"), Key(0)]
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public CultRecordRef<SimpleCommodityData> Commodity;
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[JsonProperty("weight"), Key(1)]
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public float Weight = 1;
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}
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// Mining Cut 3 (Q16 B): the one owner of which kind a belt is. Ore geography: and of what it yields.
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public static class FieldKinds
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{
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// A weighted pick among the catalog's kinds, by a stable hash of the belt's site: the same site and the same
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// catalog always give the same kind. Generation names a belt by the zone's seed and the belt's place in generation
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// order (never by the key the cache mints, which differs every run); a belt saved without a kind is named by its key. Kinds are ordered by key so the pick does not depend on store order.
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// Unset when the catalog has no kind with positive weight.
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public static CultRecordRef<FieldKindData> Assign(string site, CultCache catalog)
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// The one weighted pick: an index into weights, chosen by a stable hash of the site (the same site and the same
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// weights always give the same index), never one whose weight is not positive. -1 when no weight is positive.
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internal static int Pick(string site, double[] weights)
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{
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var pick = site.StableHash() / 4294967296.0 * weights.Sum();
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var last = -1;
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for (var i = 0; i < weights.Length; i++)
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{
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if (weights[i] <= 0) continue;
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last = i;
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if (pick < weights[i]) return i;
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pick -= weights[i];
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}
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return last;
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}
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// A weighted pick among the catalog's kinds, by a stable hash of the belt's site: the same site, catalog and province
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// type always give the same kind. A kind's weight is its GenerationWeight times its province's factor for it; a belt with
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// no province type (unset, or naming nothing the catalog holds) draws unweighted. Generation names a belt by the zone's
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// seed and the belt's place in generation order (never by the key the cache mints, which differs every run); a belt saved
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// without a kind is named by its key. Kinds are ordered by key so the pick does not depend on store order.
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// Unset when the catalog has no kind with positive weight.
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public static CultRecordRef<FieldKindData> Assign(string site, CultCache catalog, CultRecordRef<ProvinceData> province)
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{
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var type = catalog.Get(province);
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var kinds = catalog.GetAll<FieldKindData>()
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.Where(kind => kind.GenerationWeight > 0f)
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.Select(kind => (Key: catalog.RefOf(kind).Key, Weight: kind.GenerationWeight))
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.Select(kind =>
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{
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var key = catalog.RefOf(kind).Key;
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return (Key: key, Weight: kind.GenerationWeight * Factor(
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type?.Kinds.Where(entry => entry.Kind.Key.Equals(key)).Select(entry => (double) entry.Weight), 1.0));
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})
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.Where(kind => kind.Weight > 0.0)
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.OrderBy(kind => kind.Key.Value, StringComparer.Ordinal)
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.ToArray();
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if (kinds.Length == 0) return default;
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var pick = site.StableHash() / 4294967296.0 * kinds.Sum(kind => (double) kind.Weight);
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foreach (var kind in kinds)
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{
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if (pick < kind.Weight) return new CultRecordRef<FieldKindData>(kind.Key);
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pick -= kind.Weight;
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}
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return new CultRecordRef<FieldKindData>(kinds[kinds.Length - 1].Key);
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return new CultRecordRef<FieldKindData>(kinds[Pick(site, kinds.Select(kind => kind.Weight).ToArray())].Key);
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}
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// A province's factor for one entry: the sum of its listings, or the default when it lists none.
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private static double Factor(IEnumerable<double> listed, double unlisted)
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{
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var weights = listed?.ToArray();
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return weights == null || weights.Length == 0 ? unlisted : weights.Sum();
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}
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// Gives a belt with no kind its kind and saves it; a belt that has one keeps it, whatever the catalog now says.
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// Generation (ZoneGenerator) and first load (Zone) both call this, so there is one assignment rule.
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public static void Ensure(string site, AsteroidBeltData belt, CultCache cache)
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public static void Ensure(string site, AsteroidBeltData belt, CultCache cache, CultRecordRef<ProvinceData> province)
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{
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if (belt.Kind.IsSet()) return;
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belt.Kind = Assign(site, cache);
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belt.Kind = Assign(site, cache, province);
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if (belt.Kind.IsSet()) cache.Upsert(belt);
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}
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// What a belt of this kind holds in a zone of this province: each of the kind's yields, its Abundance times the
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// province's factor for the ore (unlisted: one, or zero when the yield is Regional), summed per commodity, in commodity
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// key order, zero amounts dropped. Derived on every call, never stored. Empty for an unset kind.
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public static (CultRecordRef<SimpleCommodityData> Commodity, float Amount)[] Yield(CultRecordRef<FieldKindData> kind,
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CultRecordRef<ProvinceData> province, CultCache catalog)
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{
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var data = catalog.Get(kind);
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if (data == null) return Array.Empty<(CultRecordRef<SimpleCommodityData>, float)>();
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var type = catalog.Get(province);
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return data.Yields
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.Select(yield => (yield.Commodity, Amount: yield.Abundance * Factor(
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type?.Ores.Where(ore => ore.Commodity.Key.Equals(yield.Commodity.Key)).Select(ore => (double) ore.Weight), yield.Regional ? 0.0 : 1.0)))
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.GroupBy(yield => yield.Commodity.Key.Value, StringComparer.Ordinal)
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.OrderBy(group => group.Key, StringComparer.Ordinal)
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.Select(group => (group.First().Commodity, Amount: (float) group.Sum(yield => yield.Amount)))
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.Where(yield => yield.Amount > 0f)
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.ToArray();
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}
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}
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// Ore geography (rulings provinces-within-regions, boss-zone-is-near-side, province-partition-by-size, province-types-dealt-per-region).
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// Pure functions of the zone graph, the run seed and the catalog: nothing here draws from Galaxy's Random stream, stores membership
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// or reads who owns what. Galaxy builds provinces once, in its generation and save constructors, and nothing re-partitions them.
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public static class Provinces
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{
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// Zones per province when a settings object does not say (SectorGenerationSettings.ProvinceZones): calibration, not a rule.
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public const int DefaultZonesPerProvince = 8;
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// Each zone's region, named by the region's least zone index. A boss zone sits on the near side of its border: its
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// crossing links are its links to zones in the component of exit in the graph without it, and cutting every boss zone's
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// crossing links leaves the regions as the connected components. Every zone, boss zones included, is in exactly one.
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// exit unset (-1), or a boss zone that is the exit, cuts nothing.
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public static int[] Regions(int[][] adjacency, IReadOnlyCollection<int> bossZones, int exit)
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{
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var cut = new HashSet<(int, int)>();
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if (exit >= 0)
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foreach (var boss in bossZones.Distinct().Where(boss => boss != exit))
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{
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var exitSide = Flood(adjacency, exit, (a, b) => b != boss);
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foreach (var next in adjacency[boss])
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if (exitSide[next]) cut.Add((Math.Min(boss, next), Math.Max(boss, next)));
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}
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var regionOf = new int[adjacency.Length];
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Array.Fill(regionOf, -1);
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for (var start = 0; start < adjacency.Length; start++)
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{
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if (regionOf[start] >= 0) continue;
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var members = Flood(adjacency, start, (a, b) => !cut.Contains((Math.Min(a, b), Math.Max(a, b))));
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for (var i = 0; i < members.Length; i++) if (members[i]) regionOf[i] = start;
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}
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return regionOf;
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}
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// Each zone's province, named by the province's seed zone index. A region of size s takes max(1, round(s / zonesPerProvince))
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// seeds: the first is the zone with the least hash of the run seed, each next the zone farthest (in-region hops) from the
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// seeds chosen so far, ties by that hash; then every zone joins the nearest seed, ties to the earlier seed. A province is
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// contiguous and never crosses a region.
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public static int[] Partition(int[][] adjacency, int[] regionOf, uint runSeed, int zonesPerProvince)
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{
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var seedOf = new int[adjacency.Length];
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uint Hash(int index) => $"{runSeed}:province-seed:{index}".StableHash();
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foreach (var region in Enumerable.Range(0, adjacency.Length).GroupBy(zone => regionOf[zone]).OrderBy(group => group.Key))
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{
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var zones = region.ToArray();
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var count = Math.Min(zones.Length, Math.Max(1, (int) Math.Round((double) zones.Length / Math.Max(1, zonesPerProvince), MidpointRounding.AwayFromZero)));
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var seeds = new List<int> { zones.OrderBy(Hash).ThenBy(zone => zone).First() };
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while (seeds.Count < count)
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{
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var hops = Grow(adjacency, regionOf, seeds.ToArray()).Hops;
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seeds.Add(zones.Where(zone => !seeds.Contains(zone)).OrderByDescending(zone => hops[zone]).ThenBy(Hash).ThenBy(zone => zone).First());
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}
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var owner = Grow(adjacency, regionOf, seeds.ToArray()).Owner;
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foreach (var zone in zones) seedOf[zone] = seeds[owner[zone]];
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}
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return seedOf;
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}
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// A region's hand of province types, one per province in ascending seed-zone order. Types are dealt without replacement from
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// a deck of GenerationWeight cards per type (catalog types in key order), each draw one weighted pick over the cards remaining
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// at a site named by the run seed, the region and the draw's place; the deck is restored whole when it runs out. An empty
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// deck deals every province an unset type.
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public static CultRecordRef<ProvinceData>[] Deal(int regionKey, int seedCount, uint runSeed, CultCache catalog)
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{
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var types = catalog.GetAll<ProvinceData>()
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.Where(type => type.GenerationWeight > 0)
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.Select(type => (Ref: catalog.RefOf(type), Cards: type.GenerationWeight))
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.OrderBy(type => type.Ref.Key.Value, StringComparer.Ordinal)
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.ToArray();
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var hand = new CultRecordRef<ProvinceData>[seedCount];
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if (types.Length == 0) return hand;
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var remaining = types.Select(type => type.Cards).ToArray();
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for (var n = 0; n < seedCount; n++)
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{
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if (remaining.Sum() == 0) remaining = types.Select(type => type.Cards).ToArray();
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var card = FieldKinds.Pick($"{runSeed}:province-deal:{regionKey}:{n}", remaining.Select(cards => (double) cards).ToArray());
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remaining[card]--;
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hand[n] = types[card].Ref;
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}
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return hand;
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}
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// Every zone reachable from start over the links the filter allows.
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private static bool[] Flood(int[][] adjacency, int start, Func<int, int, bool> allowed)
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{
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var reached = new bool[adjacency.Length];
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var stack = new Stack<int>();
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reached[start] = true;
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stack.Push(start);
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while (stack.Count > 0)
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{
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var zone = stack.Pop();
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foreach (var next in adjacency[zone])
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if (!reached[next] && allowed(zone, next))
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{
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reached[next] = true;
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stack.Push(next);
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}
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}
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return reached;
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}
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// Breadth-first growth from seeds inside their regions, level by level: each zone's hops to the nearest seed and the rank
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// (place in seeds) of the earliest seed among those that reach it first.
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private static (int[] Owner, int[] Hops) Grow(int[][] adjacency, int[] regionOf, int[] seeds)
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{
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var owner = new int[adjacency.Length];
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var hops = new int[adjacency.Length];
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Array.Fill(owner, -1);
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for (var rank = 0; rank < seeds.Length; rank++)
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{
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owner[seeds[rank]] = rank;
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hops[seeds[rank]] = 0;
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}
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var frontier = seeds.ToList();
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for (var level = 1; frontier.Count > 0; level++)
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{
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var claims = new Dictionary<int, int>();
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foreach (var zone in frontier)
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foreach (var next in adjacency[zone])
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if (owner[next] < 0 && regionOf[next] == regionOf[zone])
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claims[next] = claims.TryGetValue(next, out var rank) ? Math.Min(rank, owner[zone]) : owner[zone];
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foreach (var claim in claims)
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{
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owner[claim.Key] = claim.Value;
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hops[claim.Key] = level;
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}
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frontier = claims.Keys.OrderBy(zone => zone).ToList();
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}
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return (owner, hops);
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}
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}
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[CultDocument("aetheria.gasgiantdata", "1"), MessagePackObject, JsonObject(MemberSerialization.OptIn)]
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Reference in a new issue