Extract solver into library package with delta-scoring optimization
This commit is contained in:
1
.gitignore
vendored
Normal file
1
.gitignore
vendored
Normal file
@@ -0,0 +1 @@
|
||||
tmp/
|
||||
339
cmd/solver-tune/main.go
Normal file
339
cmd/solver-tune/main.go
Normal file
@@ -0,0 +1,339 @@
|
||||
package main
|
||||
|
||||
import (
|
||||
"encoding/json"
|
||||
"flag"
|
||||
"fmt"
|
||||
"math/rand"
|
||||
"os"
|
||||
"slices"
|
||||
"sort"
|
||||
"strconv"
|
||||
"strings"
|
||||
"time"
|
||||
|
||||
"rooms/solver"
|
||||
)
|
||||
|
||||
type tripData struct {
|
||||
RoomSize int `json:"room_size"`
|
||||
PreferNotMultiple int `json:"prefer_not_multiple"`
|
||||
NoPreferCost int `json:"no_prefer_cost"`
|
||||
}
|
||||
|
||||
type studentData struct {
|
||||
ID int64 `json:"id"`
|
||||
Name string `json:"name"`
|
||||
}
|
||||
|
||||
type constraintsData struct {
|
||||
Overalls []struct {
|
||||
StudentAID int64 `json:"student_a_id"`
|
||||
StudentBID int64 `json:"student_b_id"`
|
||||
Kind string `json:"kind"`
|
||||
} `json:"overalls"`
|
||||
}
|
||||
|
||||
func normalizeKey(a []int) string {
|
||||
rm := map[int][]int{}
|
||||
for i, room := range a {
|
||||
rm[room] = append(rm[room], i)
|
||||
}
|
||||
var gs [][]int
|
||||
for _, members := range rm {
|
||||
slices.Sort(members)
|
||||
gs = append(gs, members)
|
||||
}
|
||||
slices.SortFunc(gs, func(a, b []int) int { return a[0] - b[0] })
|
||||
var buf strings.Builder
|
||||
for _, g := range gs {
|
||||
for i, m := range g {
|
||||
if i > 0 {
|
||||
buf.WriteByte(',')
|
||||
}
|
||||
buf.WriteString(strconv.Itoa(m))
|
||||
}
|
||||
buf.WriteByte(';')
|
||||
}
|
||||
return buf.String()
|
||||
}
|
||||
|
||||
type runResult struct {
|
||||
score int
|
||||
solutions [][]int
|
||||
elapsed time.Duration
|
||||
}
|
||||
|
||||
func printStats(label string, results []runResult, runs int) {
|
||||
scores := map[int]int{}
|
||||
solutionSets := map[string]int{}
|
||||
var totalTime time.Duration
|
||||
var totalSolutions int
|
||||
|
||||
for _, r := range results {
|
||||
totalTime += r.elapsed
|
||||
scores[r.score]++
|
||||
totalSolutions += len(r.solutions)
|
||||
for _, sol := range r.solutions {
|
||||
key := normalizeKey(sol)
|
||||
solutionSets[key]++
|
||||
}
|
||||
}
|
||||
|
||||
fmt.Printf("--- %s ---\n", label)
|
||||
fmt.Printf(" avg time: %v\n", totalTime/time.Duration(runs))
|
||||
|
||||
var scoreList []struct {
|
||||
score int
|
||||
count int
|
||||
}
|
||||
for s, c := range scores {
|
||||
scoreList = append(scoreList, struct {
|
||||
score int
|
||||
count int
|
||||
}{s, c})
|
||||
}
|
||||
sort.Slice(scoreList, func(i, j int) bool { return scoreList[i].score > scoreList[j].score })
|
||||
|
||||
fmt.Printf(" score distribution:\n")
|
||||
for _, sc := range scoreList {
|
||||
fmt.Printf(" score %d: %d/%d runs (%.0f%%)\n", sc.score, sc.count, runs, float64(sc.count)/float64(runs)*100)
|
||||
}
|
||||
|
||||
fmt.Printf(" unique solutions seen: %d\n", len(solutionSets))
|
||||
fmt.Printf(" avg solutions per run: %.1f\n", float64(totalSolutions)/float64(runs))
|
||||
|
||||
var solFreqs []struct {
|
||||
key string
|
||||
count int
|
||||
}
|
||||
for k, c := range solutionSets {
|
||||
solFreqs = append(solFreqs, struct {
|
||||
key string
|
||||
count int
|
||||
}{k, c})
|
||||
}
|
||||
sort.Slice(solFreqs, func(i, j int) bool { return solFreqs[i].count > solFreqs[j].count })
|
||||
|
||||
stableCount := 0
|
||||
for _, sf := range solFreqs {
|
||||
if sf.count == runs {
|
||||
stableCount++
|
||||
}
|
||||
}
|
||||
fmt.Printf(" solutions found in all runs: %d\n", stableCount)
|
||||
if len(solFreqs) > 0 {
|
||||
topN := min(5, len(solFreqs))
|
||||
fmt.Printf(" top %d solution frequencies: ", topN)
|
||||
for i := range topN {
|
||||
if i > 0 {
|
||||
fmt.Print(", ")
|
||||
}
|
||||
fmt.Printf("%d/%d", solFreqs[i].count, runs)
|
||||
}
|
||||
fmt.Println()
|
||||
}
|
||||
fmt.Println()
|
||||
}
|
||||
|
||||
func main() {
|
||||
dir := flag.String("dir", "tmp", "directory with trip/students/constraints JSON files")
|
||||
runs := flag.Int("runs", 20, "number of solver runs per parameter set")
|
||||
algo := flag.String("algo", "both", "algorithm: hillclimb, fast, sa, hybrid, both, all")
|
||||
numRandom := flag.String("random", "30", "comma-separated random placement counts (hillclimb)")
|
||||
numPerturb := flag.String("perturb", "200", "comma-separated perturbation counts (hillclimb)")
|
||||
perturbMin := flag.Int("pmin", 2, "perturbation min groups (hillclimb)")
|
||||
perturbMax := flag.Int("pmax", 5, "perturbation max groups (hillclimb)")
|
||||
saRestarts := flag.String("restarts", "20", "comma-separated SA/hybrid restart counts")
|
||||
saSteps := flag.String("steps", "10000", "comma-separated SA step counts")
|
||||
hybridSteps := flag.String("hsteps", "5000", "comma-separated hybrid SA step counts")
|
||||
saTempHigh := flag.Float64("thigh", 5.0, "SA initial temperature")
|
||||
saTempLow := flag.Float64("tlow", 0.01, "SA final temperature")
|
||||
hybridTempHigh := flag.Float64("hthigh", 10.0, "hybrid SA initial temperature")
|
||||
hybridTempLow := flag.Float64("htlow", 0.1, "hybrid SA final temperature")
|
||||
flag.Parse()
|
||||
|
||||
tripBytes, err := os.ReadFile(*dir + "/1")
|
||||
if err != nil {
|
||||
fmt.Fprintf(os.Stderr, "reading trip: %v\n", err)
|
||||
os.Exit(1)
|
||||
}
|
||||
var trip tripData
|
||||
json.Unmarshal(tripBytes, &trip)
|
||||
|
||||
studentsBytes, err := os.ReadFile(*dir + "/students")
|
||||
if err != nil {
|
||||
fmt.Fprintf(os.Stderr, "reading students: %v\n", err)
|
||||
os.Exit(1)
|
||||
}
|
||||
var students []studentData
|
||||
json.Unmarshal(studentsBytes, &students)
|
||||
|
||||
constraintsBytes, err := os.ReadFile(*dir + "/constraints")
|
||||
if err != nil {
|
||||
fmt.Fprintf(os.Stderr, "reading constraints: %v\n", err)
|
||||
os.Exit(1)
|
||||
}
|
||||
var cd constraintsData
|
||||
json.Unmarshal(constraintsBytes, &cd)
|
||||
|
||||
idx := map[int64]int{}
|
||||
for i, s := range students {
|
||||
idx[s.ID] = i
|
||||
}
|
||||
n := len(students)
|
||||
|
||||
var constraints []solver.Constraint
|
||||
for _, o := range cd.Overalls {
|
||||
ai, aOk := idx[o.StudentAID]
|
||||
bi, bOk := idx[o.StudentBID]
|
||||
if !aOk || !bOk {
|
||||
continue
|
||||
}
|
||||
constraints = append(constraints, solver.Constraint{
|
||||
StudentA: ai,
|
||||
StudentB: bi,
|
||||
Kind: o.Kind,
|
||||
})
|
||||
}
|
||||
|
||||
fmt.Printf("Students: %d, Room size: %d, Constraints: %d\n", n, trip.RoomSize, len(constraints))
|
||||
fmt.Printf("Prefer Not multiple: %d, No Prefer cost: %d\n", trip.PreferNotMultiple, trip.NoPreferCost)
|
||||
fmt.Printf("Runs per config: %d\n\n", *runs)
|
||||
|
||||
if *algo == "hillclimb" || *algo == "both" {
|
||||
randomCounts := parseIntList(*numRandom)
|
||||
perturbCounts := parseIntList(*numPerturb)
|
||||
for _, nr := range randomCounts {
|
||||
for _, np := range perturbCounts {
|
||||
params := solver.Params{
|
||||
NumRandom: nr,
|
||||
NumPerturb: np,
|
||||
PerturbMin: *perturbMin,
|
||||
PerturbMax: *perturbMax,
|
||||
}
|
||||
var results []runResult
|
||||
for run := range *runs {
|
||||
rng := rand.New(rand.NewSource(int64(run * 31337)))
|
||||
start := time.Now()
|
||||
sols := solver.Solve(n, trip.RoomSize, trip.PreferNotMultiple, trip.NoPreferCost, constraints, params, rng)
|
||||
elapsed := time.Since(start)
|
||||
if len(sols) > 0 {
|
||||
var assignments [][]int
|
||||
for _, s := range sols {
|
||||
assignments = append(assignments, s.Assignment)
|
||||
}
|
||||
results = append(results, runResult{sols[0].Score, assignments, elapsed})
|
||||
}
|
||||
}
|
||||
label := fmt.Sprintf("hillclimb random=%d perturb=%d pmin=%d pmax=%d", nr, np, *perturbMin, *perturbMax)
|
||||
printStats(label, results, *runs)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
if *algo == "fast" || *algo == "both" || *algo == "all" {
|
||||
randomCounts := parseIntList(*numRandom)
|
||||
perturbCounts := parseIntList(*numPerturb)
|
||||
for _, nr := range randomCounts {
|
||||
for _, np := range perturbCounts {
|
||||
params := solver.Params{
|
||||
NumRandom: nr,
|
||||
NumPerturb: np,
|
||||
PerturbMin: *perturbMin,
|
||||
PerturbMax: *perturbMax,
|
||||
}
|
||||
var results []runResult
|
||||
for run := range *runs {
|
||||
rng := rand.New(rand.NewSource(int64(run * 31337)))
|
||||
start := time.Now()
|
||||
sols := solver.SolveFast(n, trip.RoomSize, trip.PreferNotMultiple, trip.NoPreferCost, constraints, params, rng)
|
||||
elapsed := time.Since(start)
|
||||
if len(sols) > 0 {
|
||||
var assignments [][]int
|
||||
for _, s := range sols {
|
||||
assignments = append(assignments, s.Assignment)
|
||||
}
|
||||
results = append(results, runResult{sols[0].Score, assignments, elapsed})
|
||||
}
|
||||
}
|
||||
label := fmt.Sprintf("fast random=%d perturb=%d pmin=%d pmax=%d", nr, np, *perturbMin, *perturbMax)
|
||||
printStats(label, results, *runs)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
if *algo == "sa" || *algo == "all" {
|
||||
restartCounts := parseIntList(*saRestarts)
|
||||
stepCounts := parseIntList(*saSteps)
|
||||
for _, nr := range restartCounts {
|
||||
for _, ns := range stepCounts {
|
||||
params := solver.SAParams{
|
||||
Restarts: nr,
|
||||
Steps: ns,
|
||||
TempHigh: *saTempHigh,
|
||||
TempLow: *saTempLow,
|
||||
}
|
||||
var results []runResult
|
||||
for run := range *runs {
|
||||
rng := rand.New(rand.NewSource(int64(run * 31337)))
|
||||
start := time.Now()
|
||||
sols := solver.SolveSA(n, trip.RoomSize, trip.PreferNotMultiple, trip.NoPreferCost, constraints, params, rng)
|
||||
elapsed := time.Since(start)
|
||||
if len(sols) > 0 {
|
||||
var assignments [][]int
|
||||
for _, s := range sols {
|
||||
assignments = append(assignments, s.Assignment)
|
||||
}
|
||||
results = append(results, runResult{sols[0].Score, assignments, elapsed})
|
||||
}
|
||||
}
|
||||
label := fmt.Sprintf("sa restarts=%d steps=%d thigh=%.1f tlow=%.3f", nr, ns, *saTempHigh, *saTempLow)
|
||||
printStats(label, results, *runs)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
if *algo == "hybrid" || *algo == "both" || *algo == "all" {
|
||||
restartCounts := parseIntList(*saRestarts)
|
||||
stepCounts := parseIntList(*hybridSteps)
|
||||
for _, nr := range restartCounts {
|
||||
for _, ns := range stepCounts {
|
||||
params := solver.HybridParams{
|
||||
SARestarts: nr,
|
||||
SASteps: ns,
|
||||
TempHigh: *hybridTempHigh,
|
||||
TempLow: *hybridTempLow,
|
||||
}
|
||||
var results []runResult
|
||||
for run := range *runs {
|
||||
rng := rand.New(rand.NewSource(int64(run * 31337)))
|
||||
start := time.Now()
|
||||
sols := solver.SolveHybrid(n, trip.RoomSize, trip.PreferNotMultiple, trip.NoPreferCost, constraints, params, rng)
|
||||
elapsed := time.Since(start)
|
||||
if len(sols) > 0 {
|
||||
var assignments [][]int
|
||||
for _, s := range sols {
|
||||
assignments = append(assignments, s.Assignment)
|
||||
}
|
||||
results = append(results, runResult{sols[0].Score, assignments, elapsed})
|
||||
}
|
||||
}
|
||||
label := fmt.Sprintf("hybrid restarts=%d steps=%d thigh=%.1f tlow=%.3f", nr, ns, *hybridTempHigh, *hybridTempLow)
|
||||
printStats(label, results, *runs)
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func parseIntList(s string) []int {
|
||||
parts := strings.Split(s, ",")
|
||||
var result []int
|
||||
for _, p := range parts {
|
||||
v, err := strconv.Atoi(strings.TrimSpace(p))
|
||||
if err == nil {
|
||||
result = append(result, v)
|
||||
}
|
||||
}
|
||||
return result
|
||||
}
|
||||
362
main.go
362
main.go
@@ -21,6 +21,8 @@ import (
|
||||
|
||||
"github.com/lib/pq"
|
||||
"google.golang.org/api/idtoken"
|
||||
|
||||
"rooms/solver"
|
||||
)
|
||||
|
||||
//go:embed schema.sql
|
||||
@@ -1167,13 +1169,13 @@ func handleSolve(db *sql.DB) http.HandlerFunc {
|
||||
}
|
||||
defer crows.Close()
|
||||
|
||||
type constraint struct {
|
||||
aID, bID int64
|
||||
kind, level string
|
||||
type dbConstraint struct {
|
||||
aID, bID int64
|
||||
kind, level string
|
||||
}
|
||||
var allConstraints []constraint
|
||||
var allConstraints []dbConstraint
|
||||
for crows.Next() {
|
||||
var c constraint
|
||||
var c dbConstraint
|
||||
if err := crows.Scan(&c.aID, &c.bID, &c.kind, &c.level); err != nil {
|
||||
http.Error(w, err.Error(), http.StatusInternalServerError)
|
||||
return
|
||||
@@ -1182,7 +1184,6 @@ func handleSolve(db *sql.DB) http.HandlerFunc {
|
||||
}
|
||||
|
||||
type pairKey struct{ a, b int64 }
|
||||
overalls := map[pairKey]string{}
|
||||
byPair := map[pairKey]map[string]string{}
|
||||
for _, c := range allConstraints {
|
||||
pk := pairKey{c.aID, c.bID}
|
||||
@@ -1192,6 +1193,7 @@ func handleSolve(db *sql.DB) http.HandlerFunc {
|
||||
byPair[pk][c.level] = c.kind
|
||||
}
|
||||
levelPriority := []string{"admin", "parent", "student"}
|
||||
overalls := map[pairKey]string{}
|
||||
for pk, levels := range byPair {
|
||||
for _, lev := range levelPriority {
|
||||
if kind, ok := levels[lev]; ok {
|
||||
@@ -1207,349 +1209,25 @@ func handleSolve(db *sql.DB) http.HandlerFunc {
|
||||
}
|
||||
n := len(studentIDs)
|
||||
|
||||
mustTogether := map[[2]int]bool{}
|
||||
mustApart := map[[2]int]bool{}
|
||||
var constraints []solver.Constraint
|
||||
for pk, kind := range overalls {
|
||||
ai, bi := idx[pk.a], idx[pk.b]
|
||||
switch kind {
|
||||
case "must":
|
||||
p := [2]int{ai, bi}
|
||||
if p[0] > p[1] { p[0], p[1] = p[1], p[0] }
|
||||
mustTogether[p] = true
|
||||
case "must_not":
|
||||
p := [2]int{ai, bi}
|
||||
if p[0] > p[1] { p[0], p[1] = p[1], p[0] }
|
||||
mustApart[p] = true
|
||||
}
|
||||
constraints = append(constraints, solver.Constraint{
|
||||
StudentA: idx[pk.a],
|
||||
StudentB: idx[pk.b],
|
||||
Kind: kind,
|
||||
})
|
||||
}
|
||||
|
||||
uf := make([]int, n)
|
||||
for i := range uf { uf[i] = i }
|
||||
var ufFind func(int) int
|
||||
ufFind = func(x int) int {
|
||||
if uf[x] != x { uf[x] = ufFind(uf[x]) }
|
||||
return uf[x]
|
||||
}
|
||||
ufUnion := func(a, b int) {
|
||||
ra, rb := ufFind(a), ufFind(b)
|
||||
if ra != rb { uf[ra] = rb }
|
||||
}
|
||||
rng := rand.New(rand.NewSource(rand.Int63()))
|
||||
solutions := solver.SolveFast(n, roomSize, pnMultiple, npCost, constraints, solver.DefaultParams, rng)
|
||||
|
||||
for p := range mustTogether {
|
||||
ufUnion(p[0], p[1])
|
||||
}
|
||||
|
||||
hasConflict := false
|
||||
for p := range mustApart {
|
||||
if ufFind(p[0]) == ufFind(p[1]) {
|
||||
hasConflict = true
|
||||
break
|
||||
}
|
||||
}
|
||||
|
||||
if hasConflict {
|
||||
if solutions == nil {
|
||||
http.Error(w, "hard conflicts exist, resolve before solving", http.StatusBadRequest)
|
||||
return
|
||||
}
|
||||
|
||||
groups := map[int][]int{}
|
||||
for i := range n {
|
||||
root := ufFind(i)
|
||||
groups[root] = append(groups[root], i)
|
||||
}
|
||||
|
||||
hasPrefer := make([]bool, n)
|
||||
for pk, kind := range overalls {
|
||||
if kind == "prefer" {
|
||||
hasPrefer[idx[pk.a]] = true
|
||||
}
|
||||
}
|
||||
|
||||
score := func(assignment []int) int {
|
||||
s := 0
|
||||
gotPrefer := make([]bool, n)
|
||||
for pk, kind := range overalls {
|
||||
ai, bi := idx[pk.a], idx[pk.b]
|
||||
sameRoom := assignment[ai] == assignment[bi]
|
||||
switch kind {
|
||||
case "prefer":
|
||||
if sameRoom {
|
||||
s++
|
||||
gotPrefer[ai] = true
|
||||
}
|
||||
case "prefer_not":
|
||||
if sameRoom { s -= pnMultiple }
|
||||
}
|
||||
}
|
||||
for i := range n {
|
||||
if hasPrefer[i] && !gotPrefer[i] {
|
||||
s -= npCost
|
||||
}
|
||||
}
|
||||
return s
|
||||
}
|
||||
|
||||
feasible := func(assignment []int) bool {
|
||||
for p := range mustApart {
|
||||
if assignment[p[0]] == assignment[p[1]] { return false }
|
||||
}
|
||||
roomCounts := map[int]int{}
|
||||
for _, room := range assignment {
|
||||
roomCounts[room]++
|
||||
}
|
||||
for _, cnt := range roomCounts {
|
||||
if cnt > roomSize { return false }
|
||||
}
|
||||
return true
|
||||
}
|
||||
|
||||
numRooms := (n + roomSize - 1) / roomSize
|
||||
|
||||
assignment := make([]int, n)
|
||||
groupList := make([][]int, 0, len(groups))
|
||||
for _, members := range groups {
|
||||
groupList = append(groupList, members)
|
||||
}
|
||||
slices.SortFunc(groupList, func(a, b []int) int { return len(b) - len(a) })
|
||||
|
||||
roomCap := make([]int, numRooms)
|
||||
for i := range roomCap { roomCap[i] = roomSize }
|
||||
|
||||
placed := false
|
||||
var placeGroups func(gi int) bool
|
||||
placeGroups = func(gi int) bool {
|
||||
if gi >= len(groupList) { return true }
|
||||
grp := groupList[gi]
|
||||
for room := range numRooms {
|
||||
if roomCap[room] < len(grp) { continue }
|
||||
ok := true
|
||||
for _, member := range grp {
|
||||
for p := range mustApart {
|
||||
partner := -1
|
||||
if p[0] == member { partner = p[1] }
|
||||
if p[1] == member { partner = p[0] }
|
||||
if partner >= 0 && assignment[partner] == room {
|
||||
alreadyPlaced := false
|
||||
for gj := range gi {
|
||||
if slices.Contains(groupList[gj], partner) {
|
||||
alreadyPlaced = true
|
||||
break
|
||||
}
|
||||
}
|
||||
if alreadyPlaced { ok = false; break }
|
||||
}
|
||||
}
|
||||
if !ok { break }
|
||||
}
|
||||
if !ok { continue }
|
||||
for _, member := range grp { assignment[member] = room }
|
||||
roomCap[room] -= len(grp)
|
||||
if placeGroups(gi + 1) { return true }
|
||||
roomCap[room] += len(grp)
|
||||
}
|
||||
return false
|
||||
}
|
||||
placed = placeGroups(0)
|
||||
|
||||
if !placed {
|
||||
for i := range n {
|
||||
assignment[i] = i % numRooms
|
||||
}
|
||||
}
|
||||
|
||||
initialAssignment := make([]int, n)
|
||||
copy(initialAssignment, assignment)
|
||||
|
||||
bestScore := score(assignment)
|
||||
var bestSolutions [][]int
|
||||
seen := map[string]bool{}
|
||||
normalizeKey := func(a []int) string {
|
||||
rm := map[int][]int{}
|
||||
for i, room := range a {
|
||||
rm[room] = append(rm[room], i)
|
||||
}
|
||||
var gs [][]int
|
||||
for _, members := range rm {
|
||||
slices.Sort(members)
|
||||
gs = append(gs, members)
|
||||
}
|
||||
slices.SortFunc(gs, func(a, b []int) int { return a[0] - b[0] })
|
||||
var buf strings.Builder
|
||||
for _, g := range gs {
|
||||
for i, m := range g {
|
||||
if i > 0 {
|
||||
buf.WriteByte(',')
|
||||
}
|
||||
buf.WriteString(strconv.Itoa(m))
|
||||
}
|
||||
buf.WriteByte(';')
|
||||
}
|
||||
return buf.String()
|
||||
}
|
||||
addSolution := func(a []int, s int) {
|
||||
if s > bestScore {
|
||||
bestScore = s
|
||||
bestSolutions = nil
|
||||
seen = map[string]bool{}
|
||||
}
|
||||
if s == bestScore {
|
||||
key := normalizeKey(a)
|
||||
if !seen[key] {
|
||||
seen[key] = true
|
||||
bestSolutions = append(bestSolutions, slices.Clone(a))
|
||||
}
|
||||
}
|
||||
}
|
||||
addSolution(assignment, bestScore)
|
||||
|
||||
roomCount := func(a []int, room int) int {
|
||||
c := 0
|
||||
for _, r := range a {
|
||||
if r == room { c++ }
|
||||
}
|
||||
return c
|
||||
}
|
||||
|
||||
uniqueGroups := make([]int, 0, len(groups))
|
||||
for root := range groups {
|
||||
uniqueGroups = append(uniqueGroups, root)
|
||||
}
|
||||
slices.Sort(uniqueGroups)
|
||||
|
||||
hillClimb := func(assignment []int) int {
|
||||
currentScore := score(assignment)
|
||||
for {
|
||||
bestDelta := 0
|
||||
bestMove := -1
|
||||
bestTarget := -1
|
||||
bestSwapJ := -1
|
||||
|
||||
for gi, gRoot := range uniqueGroups {
|
||||
grp := groups[gRoot]
|
||||
gRoom := assignment[grp[0]]
|
||||
|
||||
for room := range numRooms {
|
||||
if room == gRoom { continue }
|
||||
if roomCount(assignment, room)+len(grp) > roomSize { continue }
|
||||
for _, m := range grp { assignment[m] = room }
|
||||
if feasible(assignment) {
|
||||
delta := score(assignment) - currentScore
|
||||
if delta > bestDelta {
|
||||
bestDelta = delta
|
||||
bestMove = gi
|
||||
bestTarget = room
|
||||
bestSwapJ = -1
|
||||
}
|
||||
}
|
||||
for _, m := range grp { assignment[m] = gRoom }
|
||||
}
|
||||
|
||||
for gj := gi + 1; gj < len(uniqueGroups); gj++ {
|
||||
grp2 := groups[uniqueGroups[gj]]
|
||||
g2Room := assignment[grp2[0]]
|
||||
if gRoom == g2Room { continue }
|
||||
newGRoom := roomCount(assignment, gRoom) - len(grp) + len(grp2)
|
||||
newG2Room := roomCount(assignment, g2Room) - len(grp2) + len(grp)
|
||||
if newGRoom > roomSize || newG2Room > roomSize { continue }
|
||||
for _, m := range grp { assignment[m] = g2Room }
|
||||
for _, m := range grp2 { assignment[m] = gRoom }
|
||||
if feasible(assignment) {
|
||||
delta := score(assignment) - currentScore
|
||||
if delta > bestDelta {
|
||||
bestDelta = delta
|
||||
bestMove = gi
|
||||
bestTarget = -1
|
||||
bestSwapJ = gj
|
||||
}
|
||||
}
|
||||
for _, m := range grp { assignment[m] = gRoom }
|
||||
for _, m := range grp2 { assignment[m] = g2Room }
|
||||
}
|
||||
}
|
||||
|
||||
if bestDelta <= 0 { break }
|
||||
|
||||
grp := groups[uniqueGroups[bestMove]]
|
||||
gRoom := assignment[grp[0]]
|
||||
if bestSwapJ < 0 {
|
||||
for _, m := range grp { assignment[m] = bestTarget }
|
||||
} else {
|
||||
grp2 := groups[uniqueGroups[bestSwapJ]]
|
||||
g2Room := assignment[grp2[0]]
|
||||
for _, m := range grp { assignment[m] = g2Room }
|
||||
for _, m := range grp2 { assignment[m] = gRoom }
|
||||
}
|
||||
currentScore += bestDelta
|
||||
}
|
||||
return currentScore
|
||||
}
|
||||
|
||||
randomPlacement := func() bool {
|
||||
perm := rand.Perm(len(groupList))
|
||||
for i := range roomCap { roomCap[i] = roomSize }
|
||||
for _, pi := range perm {
|
||||
grp := groupList[pi]
|
||||
placed := false
|
||||
order := rand.Perm(numRooms)
|
||||
for _, room := range order {
|
||||
if roomCap[room] < len(grp) { continue }
|
||||
valid := true
|
||||
for _, member := range grp {
|
||||
for p := range mustApart {
|
||||
partner := -1
|
||||
if p[0] == member { partner = p[1] }
|
||||
if p[1] == member { partner = p[0] }
|
||||
if partner >= 0 && assignment[partner] == room {
|
||||
valid = false
|
||||
break
|
||||
}
|
||||
}
|
||||
if !valid { break }
|
||||
}
|
||||
if !valid { continue }
|
||||
for _, member := range grp { assignment[member] = room }
|
||||
roomCap[room] -= len(grp)
|
||||
placed = true
|
||||
break
|
||||
}
|
||||
if !placed { return false }
|
||||
}
|
||||
return true
|
||||
}
|
||||
|
||||
perturb := func(src []int, count int) {
|
||||
copy(assignment, src)
|
||||
indices := rand.Perm(len(uniqueGroups))
|
||||
count = min(count, len(indices))
|
||||
for _, gi := range indices[:count] {
|
||||
grp := groups[uniqueGroups[gi]]
|
||||
oldRoom := assignment[grp[0]]
|
||||
rooms := rand.Perm(numRooms)
|
||||
for _, room := range rooms {
|
||||
if room == oldRoom { continue }
|
||||
if roomCount(assignment, room)+len(grp) > roomSize { continue }
|
||||
for _, m := range grp { assignment[m] = room }
|
||||
if feasible(assignment) { break }
|
||||
for _, m := range grp { assignment[m] = oldRoom }
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
copy(assignment, initialAssignment)
|
||||
addSolution(assignment, hillClimb(assignment))
|
||||
|
||||
for range 30 {
|
||||
if randomPlacement() {
|
||||
addSolution(assignment, hillClimb(assignment))
|
||||
}
|
||||
}
|
||||
|
||||
for range 200 {
|
||||
src := bestSolutions[rand.Intn(len(bestSolutions))]
|
||||
perturb(src, 2+rand.Intn(3))
|
||||
addSolution(assignment, hillClimb(assignment))
|
||||
}
|
||||
|
||||
type roomMember struct {
|
||||
ID int64 `json:"id"`
|
||||
Name string `json:"name"`
|
||||
@@ -1559,9 +1237,9 @@ func handleSolve(db *sql.DB) http.HandlerFunc {
|
||||
Score int `json:"score"`
|
||||
}
|
||||
var results []solutionResult
|
||||
for _, sol := range bestSolutions {
|
||||
for _, sol := range solutions {
|
||||
roomMap := map[int][]roomMember{}
|
||||
for i, room := range sol {
|
||||
for i, room := range sol.Assignment {
|
||||
sid := studentIDs[i]
|
||||
roomMap[room] = append(roomMap[room], roomMember{ID: sid, Name: studentName[sid]})
|
||||
}
|
||||
@@ -1573,7 +1251,7 @@ func handleSolve(db *sql.DB) http.HandlerFunc {
|
||||
}
|
||||
}
|
||||
slices.SortFunc(rooms, func(a, b []roomMember) int { return strings.Compare(a[0].Name, b[0].Name) })
|
||||
results = append(results, solutionResult{Rooms: rooms, Score: bestScore})
|
||||
results = append(results, solutionResult{Rooms: rooms, Score: sol.Score})
|
||||
}
|
||||
slices.SortFunc(results, func(a, b solutionResult) int {
|
||||
for i := range min(len(a.Rooms), len(b.Rooms)) {
|
||||
|
||||
1373
solver/solver.go
Normal file
1373
solver/solver.go
Normal file
File diff suppressed because it is too large
Load Diff
Reference in New Issue
Block a user