anvilsign in

collin/mahjong

1import { STACKS_PER_SIDE, WALL_SIZE, WALL_STACKS } from './tiles';
2import type { SeatId } from './types';
3
4/**
5 * What the wall square looks like right now.
6 *
7 * The square is eaten from both ends at once — normal draws come off the front,
8 * kong and flower replacements off the back — so how much of it is left is not
9 * one number but a per-stack question, and two things want the answer: the
10 * drawing of it (ui/WallRing) and the physics (table/geometry), since a stack
11 * still standing is something a thrown tile has to get past.
12 *
13 * Deliberately typed against the fields it reads rather than `GameState`, so it
14 * stays a function of the wall and nothing else.
15 */
16export interface WallProgress {
17 drawnFront: number;
18 drawnBack: number;
19 rules: { wallReserve: number };
20}
21
22export interface Stack {
23 /** Tiles still in this stack: 2 full, 1 half, 0 spent. */
24 count: 0 | 1 | 2;
25 /** Part of the 16-tile 底牌 tail that ends the hand. */
26 dead: boolean;
27 /** The break point — the stack the next draw comes off. */
28 next: boolean;
29}
30
31/**
32 * Position 0 is the break point. Stack `i` holds positions `2i` and `2i+1`, and
33 * a position is still there if it is past the front and short of the back.
34 */
35export function wallStacks(s: WallProgress): Stack[] {
36 const front = s.drawnFront;
37 const back = WALL_SIZE - s.drawnBack;
38 const deadFrom = back - s.rules.wallReserve;
39
40 return Array.from({ length: WALL_STACKS }, (_, i) => {
41 const a = i * 2;
42 const b = a + 1;
43 const live = (p: number) => p >= front && p < back;
44 const count = ((live(a) ? 1 : 0) + (live(b) ? 1 : 0)) as 0 | 1 | 2;
45 return { count, dead: b >= deadFrom, next: front === a || front === b };
46 });
47}
48
49/**
50 * Whether a stack is something a thrown tile has to get past.
51 *
52 * A stack of two stands as tall as the tile being thrown at it. One of one is
53 * low enough to sail over, and a spent one is not there at all — so only a full
54 * stack is a barrier. This is the rule behind both halves of the throw: the
55 * colliders the pile bounces off, and whether a seat may flick at all.
56 */
57export const isBarrier = (s: Stack) => s.count === 2;
58
59/** The four sides in the order WallRing lays them out, clockwise from the top. */
60export const WALL_SIDES = ['top', 'right', 'bottom', 'left'] as const;
61export type WallSide = (typeof WALL_SIDES)[number];
62
63/**
64 * Which side of the square sits in front of each seat — the one a seat has to
65 * throw over. Seats run bottom, right, top, left (see ui/rotation.ts) and the
66 * sides are drawn top, right, bottom, left, so the two orders are not the same.
67 */
68export const SEAT_WALL_SIDE: Record<SeatId, number> = { 0: 2, 1: 1, 2: 0, 3: 3 };
69
70/** The stacks making up one quarter of the square as it was built. */
71export function sideStacks(stacks: Stack[], side: number): Stack[] {
72 return stacks.slice(side * STACKS_PER_SIDE, (side + 1) * STACKS_PER_SIDE);
73}
74
75/** How many stacks a side of the square holds, once the middle is measured. */
76export interface RingCapacity {
77 /** Along the top and the bottom. */
78 h: number;
79 /** Down the left and the right. */
80 v: number;
81}
82
83/** Dealt out before anybody looks at the table: sixteen tiles, four ways. */
84const DEALT = 64;
85/**
86 * How much wall is left once a hand has been dealt. The square is built to the
87 * whole hundred and forty-four now rather than to this — see `RING` — so this
88 * is only a fact about the wall, and what the tests measure a fresh deal
89 * against.
90 */
91export const DEALT_STACKS = WALL_STACKS - DEALT / 2;
92
93/**
94 * The square is the whole wall: eighteen stacks of two a side, four sides, the
95 * hundred and forty-four tiles, exactly as it is built on a table.
96 *
97 * It used to be rebuilt to what was *left* after a hand had been dealt — barely
98 * half of it — because eighteen full-size stacks a side wants about 560px and no
99 * ordinary window has that between the top and bottom strips. That bought a
100 * square, at the price of it not being the wall: a side ran out of stacks before
101 * it reached its corner, so the four of them never met.
102 *
103 * What gives instead is the tile. A wall tile is not a hand tile — on a table it
104 * is the same tile, but on a screen the wall has to fit the middle and the hand
105 * has to be readable, and those are two different jobs. See `wallSquare`.
106 */
107export const RING: RingCapacity = { h: STACKS_PER_SIDE, v: STACKS_PER_SIDE };
108
109/** The square, in pixels, once the room it has to fit has been measured. */
110export interface WallSquare {
111 /** A stack's short side — the wall's own tile width. */
112 cell: number;
113 /** One wall, end to end: eighteen stacks. */
114 len: number;
115 /** How deep a wall stands, which is a stack's long side. */
116 thick: number;
117 /** The opening left in the middle: where the discards go. */
118 open: number;
119 /** What the whole thing takes up, walls included. */
120 outer: number;
121}
122
123/**
124 * How big to build the square, given the room across the table it has to fit.
125 *
126 * Four walls of eighteen stacks, laid down square and nothing turned. Each is
127 * pinned at the corner it is built from and runs its whole length from there,
128 * which carries it one wall-depth past the far corner and over the end of the
129 * next wall along — the same way round each time. That is the pinwheel, and it
130 * is why the corners are covered rather than mitred.
131 *
132 * So the whole thing measures a wall's length *plus* one depth across, and
133 * leaves that length *less* one depth in the middle. Solved the other way here:
134 * the room is what there is, and the tile is what gives.
135 */
136export function wallSquare(room: number, ratio: number): WallSquare {
137 const cell = Math.max(1, room / (STACKS_PER_SIDE + ratio));
138 const len = cell * STACKS_PER_SIDE;
139 const thick = cell * ratio;
140 return { cell, len, thick, open: len - thick, outer: len + thick };
141}
142
143/** A stack and which of the 72 it is — the index is what the physics reads. */
144export interface Placed {
145 index: number;
146 stack: Stack;
147}
148
149/**
150 * Where what is left of the wall actually goes.
151 *
152 * Four walls of eighteen full-size stacks want about 560px a side, and the
153 * middle of the table is nothing like that in both directions at once — so a
154 * square built to the tile is a square that hangs out under the players. What
155 * saves it is that by the time anyone is looking, four hands have been dealt
156 * off the front and there is nothing like a whole wall left: only what is still
157 * standing is drawn, and it is laid out around a ring cut to the middle rather
158 * than to the tile. Players push the remaining stacks about to keep them tidy
159 * for exactly this reason.
160 *
161 * The rebuilt square is the size of the wall as it is dealt, so at the start
162 * the run fills it exactly, and from then on it is simply *eaten*: the tail is
163 * pinned to the end of the square and normal draws take stacks off the front,
164 * which leaves a growing gap where they were and moves nothing else. Kong and
165 * flower replacements come off the other end and shorten it from there. Both
166 * ends are where they would be on a table, and the square keeps the size it was
167 * built at — a square that shrank every draw would close in on the discards
168 * lying inside it.
169 */
170export function ringLayout(stacks: Stack[], cap: RingCapacity): Placed[][] {
171 const sides: Placed[][] = [[], [], [], []];
172 const lengths = [cap.h, cap.v, cap.h, cap.v];
173 const slots = 2 * (cap.h + cap.v);
174 if (slots <= 0) return sides;
175
176 // Each stack has its own place in the square and keeps it: the far end is the
177 // far end of the square, and everything counts back from there. Draws off the
178 // front open a gap at the break point, draws off the tail shorten the other
179 // end, and no tile that is still standing ever has to move.
180 const offset = WALL_STACKS - slots;
181
182 for (let index = 0; index < stacks.length; index++) {
183 const stack = stacks[index];
184 // A wall too long for its square only happens before a hand is dealt, and
185 // then only for the frame it takes to deal it. What falls off the start is
186 // the part about to be drawn anyway.
187 let at = index - offset;
188 if (stack.count === 0 || at < 0 || at >= slots) continue;
189 let side = 0;
190 while (at >= lengths[side]) at -= lengths[side++];
191 sides[side].push({ index, stack });
192 }
193 return sides;
194}