aboutsummaryrefslogtreecommitdiff
path: root/internal/casino/plinko.go
blob: d73a0a4460aae67808a6eb8bf23a5e251f7760c2 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
package casino

import (
	"fmt"
	"math"
	"math/rand"
	"strconv"
	"strings"
	"sync"
)

const plinkoRows = 16

const plinkoFirstRow = 0

// RTP is the base percentage before pocket multipliers round up to tenths.
// Fixed expert edge prizes alone return 30.517578125%.
type PlinkoConfig struct {
	RTP float64 `yaml:"rtp,omitempty"`
}

func (c PlinkoConfig) Normalize() PlinkoConfig {
	if c.RTP == 0 {
		c.RTP = 98
	}
	return c
}
func validatePlinko(c TableConfig) error {
	r := c.Plinko.Normalize().RTP
	if math.IsNaN(r) || math.IsInf(r, 0) || r < 31 || r > 100 {
		return fmt.Errorf("plinko rtp must be between 31 and 100 percent")
	}
	if c.MaxPlayers > 1 {
		return fmt.Errorf("plinko has one seat")
	}
	if c.MaxBet > MaxCredits/100000 {
		return fmt.Errorf("plinko max_bet must not exceed %d", MaxCredits/100000)
	}
	return nil
}

var plinkoRisks = []string{"easy", "medium", "hard", "expert"}

// Every path has probability 2^-16. Normalize interior weights against the
// binomial distribution, keeping both edge jackpots fixed at every RTP.
// Round the played multipliers UP to tenths, intentionally raising actual RTP.
func plinkoPockets(risk int, rtp float64) [17]float64 {
	var out [17]float64
	outer := []float64{16, 100, 1000, 10000}[risk]
	powers := []float64{2, 4, 7, 12}
	out[0], out[16] = outer, outer
	sum, choose := 0.0, 1.0
	for k := 1; k < 16; k++ {
		choose *= float64(17-k) / float64(k)
		out[k] = math.Pow(float64(absPlinko(k-8)+1), powers[risk])
		sum += choose * out[k] / 65536
	}
	scale := (rtp/100 - 2*outer/65536) / sum
	for k := 1; k < 16; k++ {
		out[k] = math.Ceil(out[k]*scale*10) / 10
	}
	return out
}
func absPlinko(n int) int {
	if n < 0 {
		return -n
	}
	return n
}
func plinkoReturn(risk int, rtp float64) float64 {
	pockets := plinkoPockets(risk, rtp)
	choose, result := 1.0, 0.0
	for k, multiplier := range pockets {
		if k > 0 {
			choose *= float64(17-k) / float64(k)
		}
		result += choose * multiplier / 65536
	}
	return result
}

func plinkoHouseEdge(c TableConfig, _ string) HouseEdge {
	var e HouseEdge
	for risk, name := range plinkoRisks {
		e.Parts = append(e.Parts, EdgePart{Label: name, Loss: 1 - plinkoReturn(risk, c.Plinko.Normalize().RTP)})
	}
	e.Note = "easy / medium / hard / expert; includes upward rounding to 0.1x"
	return e
}

func plinkoRules(c TableConfig) string {
	return fmt.Sprintf("Plinko: 16 fair left/right bounces; 17 pockets. Base RTP %.4g%%. Multipliers round UP to 0.1x, increasing actual RTP by risk.\nUse difficulty easy|medium|hard|expert, balls 1-10, then bet N (per ball).\nPocket multipliers INCLUDE your stake. Fractional total returns round randomly, without bias.\nEasy edges pay 16x; expert edges pay 10000x. Higher risk means higher variance.\nOne ball is white; overlapping balls shade toward red (all balls together).\nLeaving is blocked during a drop; disconnect forfeits an unfinished drop.", c.Plinko.Normalize().RTP)
}

type PlinkoSnapshot struct {
	// Row 0 is the apex (preceded by the payout legend); 16 is the pockets.
	Row, Total int
	Counts     [17]int
	Pockets    [17]float64
	Paytable   bool
	Risk       string
}

func (*PlinkoSnapshot) snapshot() {}

// PlinkoPocketLabels gives every distinct played multiplier one letter, in
// outside-to-center order. Mirrored pockets and rounded ties share a label.
// Settlement, the legend and the board must use the same mapping.
func PlinkoPocketLabels(pockets [17]float64) [17]rune {
	var labels [17]rune
	seen := make(map[float64]rune)
	for k, value := range pockets {
		label, ok := seen[value]
		if !ok {
			label = 'A' + rune(len(seen))
			seen[value] = label
		}
		labels[k] = label
	}
	return labels
}

type plinkoTable struct {
	*tableBase
	mu                        sync.Mutex
	rng                       *rand.Rand
	name                      string
	risk, balls, betSize, row int
	active                    bool
	positions                 []int
	wallet                    Wallet
	stake                     Wager
}

func newPlinkoTable(room int, c TableConfig, rng *rand.Rand) tableGame {
	return &plinkoTable{tableBase: &tableBase{RoomID: room, Config: c}, rng: rng, balls: 1}
}
func (t *plinkoTable) base() *tableBase { return t.tableBase }
func (t *plinkoTable) idle() bool       { t.mu.Lock(); defer t.mu.Unlock(); return t.name == "" }
func (t *plinkoTable) hasParticipant(n string) bool {
	t.mu.Lock()
	defer t.mu.Unlock()
	return t.name != "" && t.name == n
}
func (t *plinkoTable) busy(n string) bool {
	t.mu.Lock()
	defer t.mu.Unlock()
	return t.name == n && t.active
}
func (t *plinkoTable) overview() string { return "Plinko / 16-row pyramid" }
func (t *plinkoTable) seats() []string {
	t.mu.Lock()
	defer t.mu.Unlock()
	if t.name == "" {
		return nil
	}
	return []string{t.name}
}
func (t *plinkoTable) state() string {
	t.mu.Lock()
	defer t.mu.Unlock()
	if t.active {
		return "dropping"
	}
	return "waiting"
}
func (t *plinkoTable) wagers(string) []WagerRow { return nil }
func (t *plinkoTable) hintsLocked() []MenuCommand {
	if t.active {
		return nil
	}
	return []MenuCommand{{Command: "bet N", Desc: "Drop balls; N credits PER ball"}, {Command: "balls N", Desc: "Drop 1-10 balls together"}, {Command: "difficulty easy|medium|hard|expert", Desc: "Choose payout variance"}, {Command: "paytable", Desc: "Show all pocket multipliers"}, {Command: "rules", Desc: "Plinko rules"}, {Command: "stop", Desc: "Leave Plinko"}}
}
func (t *plinkoTable) hints(n string) []MenuCommand {
	t.mu.Lock()
	defer t.mu.Unlock()
	if n != t.name {
		return nil
	}
	return t.hintsLocked()
}
func (t *plinkoTable) snap(paytable bool) *PlinkoSnapshot {
	s := &PlinkoSnapshot{Row: t.row, Total: t.balls, Pockets: plinkoPockets(t.risk, t.Config.Plinko.Normalize().RTP), Risk: plinkoRisks[t.risk], Paytable: paytable}
	for _, p := range t.positions {
		s.Counts[p]++
	}
	return s
}
func (t *plinkoTable) statusLocked(n string) []Event {
	e := t.private(n, fmt.Sprintf("PLINKO / %s / %d balls / %.2f%% RTP (base %.4g%%)", plinkoRisks[t.risk], t.balls, 100*plinkoReturn(t.risk, t.Config.Plinko.Normalize().RTP), t.Config.Plinko.Normalize().RTP))
	e.Color = "casino_menu"
	e.Snapshot = t.snap(true)
	if n == t.name {
		e.Menu = &MenuView{ShowBalance: true, Commands: t.hintsLocked()}
	}
	return []Event{e}
}
func (t *plinkoTable) status(n string) []Event {
	t.mu.Lock()
	defer t.mu.Unlock()
	return t.statusLocked(n)
}
func (t *plinkoTable) board(string) Snapshot { t.mu.Lock(); defer t.mu.Unlock(); return t.snap(true) }
func (t *plinkoTable) join(n string) []Event {
	t.mu.Lock()
	defer t.mu.Unlock()
	if t.name != "" {
		return []Event{t.private(n, "Plinko is occupied.")}
	}
	t.name = n
	t.risk = 0
	t.balls = 1
	e := t.playerAction(n, n+" steps up to Plinko.", "Welcome to PLINKO! Choose your risk and let it rain.")
	e.Type = EventJoined
	e.Player = n
	return append([]Event{e}, t.statusLocked(n)...)
}
func (t *plinkoTable) clear() {
	t.name = ""
	t.active = false
	t.positions = nil
	t.wallet = nil
	t.stake = Wager{}
	t.betSize = 0
	t.row = 0
}
func (t *plinkoTable) leave(n string) []Event {
	t.mu.Lock()
	defer t.mu.Unlock()
	if n != t.name {
		return nil
	}
	if t.active {
		return []Event{t.private(n, "The balls are still falling!")}
	}
	t.clear()
	e := t.playerAction(n, n+" leaves Plinko.", "You leave Plinko.")
	e.Type = EventLeft
	e.Player = n
	return []Event{e}
}
func (t *plinkoTable) rebet(n string) (string, int) {
	t.mu.Lock()
	defer t.mu.Unlock()
	if n == t.name {
		return "", t.betSize
	}
	return "", 0
}
func (t *plinkoTable) action(n, a string) []Event {
	t.mu.Lock()
	defer t.mu.Unlock()
	if n != t.name {
		return nil
	}
	if t.active {
		return []Event{t.private(n, "Wait for the balls to land.")}
	}
	f := strings.Fields(strings.ToLower(a))
	if len(f) == 1 && f[0] == "paytable" {
		return t.statusLocked(n)
	}
	if len(f) == 2 {
		switch f[0] {
		case "balls":
			v, err := strconv.Atoi(f[1])
			if err == nil && v >= 1 && v <= 10 {
				t.balls = v
				return t.statusLocked(n)
			}
		case "difficulty":
			for i, r := range plinkoRisks {
				if f[1] == r {
					t.risk = i
					return t.statusLocked(n)
				}
			}
		}
	}
	return []Event{t.private(n, "Use difficulty easy|medium|hard|expert, balls 1-10, or paytable.")}
}
func (t *plinkoTable) bet(n, spot string, amount int, w Wallet) []Event {
	t.mu.Lock()
	defer t.mu.Unlock()
	if n != t.name {
		return nil
	}
	if t.active {
		return []Event{t.private(n, "The balls are still falling!")}
	}
	if spot != "" && spot != "main" {
		return []Event{t.private(n, "Use bet N; N is the stake per ball.")}
	}
	if amount < t.Config.MinBet || amount > t.Config.MaxBet || amount > MaxCredits/100000 {
		return []Event{t.private(n, "Per-ball bets must be "+betRangeText(t.Config.MinBet, t.Config.MaxBet)+".")}
	}
	if w == nil {
		return []Event{t.private(n, "No wallet is available.")}
	}
	stake, err := w.Wager(amount * t.balls)
	if err != nil {
		return []Event{t.private(n, walletErrorMessage(err, "Not enough chips and credits for all balls."))}
	}
	t.wallet = w
	t.stake = stake
	t.betSize = amount
	t.row = plinkoFirstRow
	t.active = true
	t.positions = make([]int, t.balls)
	e := t.private(n, fmt.Sprintf("*** PLINKO / %s *** %d balls x %d = %d credits. Let it rain!", strings.ToUpper(plinkoRisks[t.risk]), t.balls, amount, stake.Total))
	e.Snapshot = t.snap(false)
	return []Event{e}
}
func (t *plinkoTable) tick() []Event {
	t.mu.Lock()
	defer t.mu.Unlock()
	if !t.active {
		return nil
	}
	t.row++
	if t.row > 0 {
		for i := range t.positions {
			t.positions[i] += t.rng.Intn(2)
		}
	}
	e := t.private(t.name, "")
	e.Snapshot = t.snap(false)
	events := []Event{e}
	if t.row < plinkoRows {
		return events
	}
	t.active = false
	pockets := plinkoPockets(t.risk, t.Config.Plinko.Normalize().RTP)
	labels := PlinkoPocketLabels(pockets)
	total := 0.0
	var hits []string
	for i, p := range t.positions {
		v := pockets[p] * float64(t.betSize)
		total += v
		hits = append(hits, fmt.Sprintf("Ball %d -> [%c] %.1fx", i+1, labels[p], pockets[p]))
	}
	paid := int(math.Floor(total))
	if t.rng.Float64() < total-float64(paid) {
		paid++
	}
	if err := t.wallet.PayCredits(paid, t.stake.ID); err != nil {
		return append(events, t.private(t.name, payoutFailedMessage()))
	}
	t.stake = Wager{}
	result := t.private(t.name, "")
	outcome := "loss"
	if paid == t.betSize*t.balls {
		outcome = "push"
	} else if paid > t.betSize*t.balls {
		outcome = "win"
	}
	result.Settlement = []SettlementLine{{Label: fmt.Sprintf("%d Plinko balls", t.balls), Odds: "Varies", Stake: t.betSize * t.balls, Returned: paid, Result: outcome}}
	result.Color = "casino_payout"
	if paid > t.betSize*t.balls {
		result.Color = "casino_big_win"
	}
	// The shared receipt replaces Message, so keep pocket reveals in their own event.
	events = append(events, t.private(t.name, strings.Join(hits, "\n")), result, t.betMenuEvent(t.name, t.hintsLocked()))
	return events
}
func (t *plinkoTable) markDisconnected(n string) []Event {
	t.mu.Lock()
	defer t.mu.Unlock()
	if n != t.name {
		return nil
	}
	if t.active && t.wallet != nil {
		t.wallet.ResolveStake(t.stake.ID)
	}
	t.clear()
	e := t.event(n+" leaves Plinko.", true)
	e.Type = EventLeft
	e.Player = n
	return []Event{e}
}
func (t *plinkoTable) refundAll() []Event {
	t.mu.Lock()
	defer t.mu.Unlock()
	var events []Event
	if t.wallet != nil {
		chips, credits, err := t.wallet.RefundOutstanding()
		msg := fmt.Sprintf("Plinko closes; %d credits/chips refunded.", chips+credits)
		if err != nil {
			msg = "Plinko refund could not be persisted; your stake remains pending for recovery."
		}
		events = append(events, t.private(t.name, msg))
	}
	t.clear()
	return events
}