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m3te/board.sx
swipelab 45e7eb803e P1.1: pure-sx Gem & Board model with seeded, match-free init
Add board.sx, the headless Phase-1 match-3 core:
- Gem enum (6 types, ordinal 0..5) + single-char dump alphabet.
- Rng: a 32-bit LCG carried in s64, masked to 32 bits each step, so the
  stream is host-width independent and valid for any seed.
- Board (8x8, row-major) with idx/at/set accessors and a seeded init that
  fills row-major, excluding any gem that would complete a 3-in-a-row with
  the two cells to the left or above — so the result has zero pre-existing
  matches. Single RNG draw per cell, always terminates.
- board_dump: deterministic one-row-per-line textual snapshot.

tests/board_init.sx seeds with a fixed seed, dumps the board, and asserts
zero horizontal/vertical 3-in-a-row runs via an independent scan. Output and
exit code are locked as goldens. App ios-sim build is unaffected (main.sx
does not import the model yet).
2026-06-04 19:12:55 +03:00

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// m3te core model — pure, headless match-3 board (Phase 1).
//
// Everything here is deterministic and rendering-free: a fixed seed always
// produces the same board. Later phases build on these primitives —
// P1.2 (match detection), P1.3 (swap legality), P2 (clear/cascade/refill) —
// so the layout favours plain index access (`at` / `idx`) over anything
// rendering-specific.
#import "modules/std.sx";
// ── Gem ──────────────────────────────────────────────────────────────────
// Six distinct gem types. The enum's ordinal (0..5) IS the gem index, so it
// casts cleanly to/from the integers the RNG and the textual dump work in.
GEM_COUNT :: 6;
Gem :: enum {
red;
orange;
yellow;
green;
blue;
purple;
}
// One stable character per gem type, indexed by ordinal — the alphabet the
// board dump (and its golden) is written in.
GEM_CHARS :: "ROYGBP";
gem_char :: (g: Gem) -> u8 {
GEM_CHARS[cast(s64) g]
}
// ── Deterministic RNG ─────────────────────────────────────────────────────
// A 32-bit linear congruential generator (Numerical Recipes constants),
// carried in an s64 and masked back to 32 bits after every step so the
// stream is identical regardless of host integer width. The state*MUL+ADD
// product stays well under s64 range, so no intermediate overflow. Any seed
// (including 0) yields a valid stream — an LCG has no forbidden state.
RNG_MASK32 :: 0xFFFFFFFF;
RNG_MUL :: 1664525;
RNG_ADD :: 1013904223;
Rng :: struct {
state: s64;
// Advance and return the next 32-bit value.
next_u32 :: (self: *Rng) -> s64 {
self.state = (self.state * RNG_MUL + RNG_ADD) & RNG_MASK32;
self.state
}
// Uniform-ish value in [0, n). Uses the high bits, whose period is far
// longer than the low bits of an LCG.
next_range :: (self: *Rng, n: s64) -> s64 {
(self.next_u32() >> 16) % n
}
}
rng_seeded :: (seed: s64) -> Rng {
Rng.{ state = seed & RNG_MASK32 }
}
// ── Board ─────────────────────────────────────────────────────────────────
BOARD_COLS :: 8;
BOARD_ROWS :: 8;
BOARD_CELLS :: BOARD_COLS * BOARD_ROWS;
Board :: struct {
// Row-major: cell (col, row) lives at row*BOARD_COLS + col.
cells: [BOARD_CELLS]Gem;
idx :: (col: s64, row: s64) -> s64 {
row * BOARD_COLS + col
}
at :: (self: *Board, col: s64, row: s64) -> Gem {
self.cells[Board.idx(col, row)]
}
set :: (self: *Board, col: s64, row: s64, g: Gem) {
self.cells[Board.idx(col, row)] = g;
}
// Fill every cell from `seed` so that NO horizontal or vertical run of
// three same-type gems exists. Cells are placed in row-major order; when
// placing one, any gem type that would complete a 3-in-a-row with the two
// already-placed cells to its left or above is excluded, and the gem is
// drawn from the remaining allowed types. At most two types are ever
// excluded, so a choice always remains.
init :: (self: *Board, seed: s64) {
rng := rng_seeded(seed);
for 0..BOARD_ROWS: (row) {
for 0..BOARD_COLS: (col) {
self.set(col, row, pick_gem(self, @rng, col, row));
}
}
}
}
// Choose a gem for (col, row) that can't extend an existing run leftward or
// upward. Pure given the board's already-placed prefix and the RNG state.
pick_gem :: (board: *Board, rng: *Rng, col: s64, row: s64) -> Gem {
forbidden : [GEM_COUNT]bool = ---;
for 0..GEM_COUNT: (t) { forbidden[t] = false; }
// Two same gems immediately to the left → a third of that type matches.
if col >= 2 {
left := board.at(col - 1, row);
if left == board.at(col - 2, row) {
forbidden[cast(s64) left] = true;
}
}
// Two same gems immediately above → a third of that type matches.
if row >= 2 {
up := board.at(col, row - 1);
if up == board.at(col, row - 2) {
forbidden[cast(s64) up] = true;
}
}
allowed := 0;
for 0..GEM_COUNT: (t) { if !forbidden[t] { allowed += 1; } }
// Pick the k-th still-allowed type; single RNG draw, always terminates.
k := rng.next_range(allowed);
for 0..GEM_COUNT: (t) {
if !forbidden[t] {
if k == 0 { return cast(Gem) t; }
k -= 1;
}
}
.red // unreachable: `allowed` >= GEM_COUNT-2 >= 4, so k is always consumed
}
// Deterministic textual dump: one row per line, top (row 0) to bottom, a
// single gem character per cell. Suitable for snapshotting.
board_dump :: (self: *Board) -> string {
line_w := BOARD_COLS + 1; // 8 gem chars + newline
buf := cstring(BOARD_ROWS * line_w);
for 0..BOARD_ROWS: (row) {
base := row * line_w;
for 0..BOARD_COLS: (col) {
buf[base + col] = gem_char(self.at(col, row));
}
buf[base + BOARD_COLS] = 10; // '\n'
}
buf
}