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Procedural generator for the In-Context Grid Reasoning (ICGR) dataset.
Every task is a demonstration-conditioned rule-induction problem in the spirit of
ARC-AGI: a few (input grid -> output grid) support pairs share one hidden
transformation, and the solver must apply that same transformation to a held-out
query input.
All data here is synthetic and generated by this script alone. No third-party
text, images, or datasets are used, so the output carries no upstream copyright.
Reproduce with: python generate.py
"""
import argparse
import json
import random
from pathlib import Path
# --- grid helpers -----------------------------------------------------------
def new_grid(rng, h, w, ncolors):
return [[rng.randrange(ncolors) for _ in range(w)] for _ in range(h)]
def dims(g):
return len(g), len(g[0])
def to_str(g):
return ";".join(" ".join(str(v) for v in row) for row in g)
# --- transformations ------------------------------------------------------
# Each is a pure function grid -> grid. Keep them total: any rectangular grid in,
# rectangular grid out. Params are frozen per task so every support pair and the
# query share the exact same rule.
def t_flip_h(g, p):
return [list(reversed(row)) for row in g]
def t_flip_v(g, p):
return [list(row) for row in reversed(g)]
def t_transpose(g, p):
h, w = dims(g)
return [[g[r][c] for r in range(h)] for c in range(w)]
def t_rotate90(g, p):
h, w = dims(g)
return [[g[h - 1 - r][c] for r in range(h)] for c in range(w)]
def t_add_mod(g, p):
k, n = p["k"], p["ncolors"]
return [[(v + k) % n for v in row] for row in g]
def t_color_swap(g, p):
a, b = p["a"], p["b"]
return [[b if v == a else a if v == b else v for v in row] for row in g]
def t_shift_rows(g, p):
s = p["s"]
return [row[-s:] + row[:-s] for row in g]
def t_tile_h(g, p):
return [row + row for row in g]
def t_border(g, p):
c = p["c"]
h, w = dims(g)
out = [list(row) for row in g]
for j in range(w):
out[0][j] = c
out[h - 1][j] = c
for i in range(h):
out[i][0] = c
out[i][w - 1] = c
return out
def t_max_pool2(g, p):
# non-overlapping 2x2 max; grid dims are always even in this generator
h, w = dims(g)
return [[max(g[2 * r][2 * c], g[2 * r + 1][2 * c],
g[2 * r][2 * c + 1], g[2 * r + 1][2 * c + 1])
for c in range(w // 2)] for r in range(h // 2)]
TRANSFORMS = {
"flip_h": (t_flip_h, "Mirror the grid left-to-right."),
"flip_v": (t_flip_v, "Mirror the grid top-to-bottom."),
"transpose": (t_transpose, "Swap rows and columns (transpose)."),
"rotate90": (t_rotate90, "Rotate the grid 90 degrees clockwise."),
"add_mod": (t_add_mod, "Add a fixed constant to every cell, modulo the colour count."),
"color_swap": (t_color_swap, "Swap two colours everywhere they appear."),
"shift_rows": (t_shift_rows, "Cyclically shift every row right by a fixed amount."),
"tile_h": (t_tile_h, "Concatenate the grid with a copy of itself, side by side."),
"border": (t_border, "Paint the outer border of the grid a fixed colour."),
"max_pool2": (t_max_pool2, "Replace each non-overlapping 2x2 block with its maximum value."),
}
SINGLE = list(TRANSFORMS)
# pairs that compose cleanly without fighting over dimensions
COMPOSABLE = ["flip_h", "flip_v", "add_mod", "color_swap", "shift_rows", "border"]
def sample_params(rng, ncolors):
return {
"ncolors": ncolors,
"k": rng.randint(1, ncolors - 1),
"a": rng.randrange(ncolors),
"b": rng.randrange(ncolors),
"s": rng.randint(1, 2),
"c": rng.randrange(ncolors),
}
def apply_rule(rule, g, p):
for name in rule:
g = TRANSFORMS[name][0](g, p)
return g
def describe(rule):
return " Then, ".join(TRANSFORMS[n][1] for n in rule)
# --- task assembly --------------------------------------------------------
def make_task(rng, task_id):
ncolors = rng.choice([4, 5, 6])
compose = rng.random() < 0.35
if compose:
rule = rng.sample(COMPOSABLE, 2)
else:
rule = [rng.choice(SINGLE)]
# max_pool halves dims, so start even and a bit larger for it
if "max_pool2" in rule:
h = rng.choice([4, 6])
w = rng.choice([4, 6])
else:
h = rng.randint(3, 5)
w = rng.randint(3, 5)
p = sample_params(rng, ncolors)
n_support = rng.randint(2, 4)
grids = []
seen = set()
while len(grids) < n_support + 1:
g = new_grid(rng, h, w, ncolors)
key = to_str(g)
if key in seen:
continue
seen.add(key)
grids.append(g)
support = [{"input": to_str(g), "output": to_str(apply_rule(rule, g, p))}
for g in grids[:-1]]
q = grids[-1]
return {
"task_id": task_id,
"rule": "+".join(rule),
"rule_kind": "composed" if compose else "atomic",
"rule_description": describe(rule),
"num_colors": ncolors,
"grid_h": h,
"grid_w": w,
"num_support": n_support,
"support": support,
"query_input": to_str(q),
"query_output": to_str(apply_rule(rule, q, p)),
}
def main():
ap = argparse.ArgumentParser()
ap.add_argument("--n", type=int, default=1000)
ap.add_argument("--seed", type=int, default=20260903)
ap.add_argument("--test-frac", type=float, default=0.2)
ap.add_argument("--out", type=Path, default=Path("data"))
args = ap.parse_args()
rng = random.Random(args.seed)
tasks = [make_task(rng, f"icgr-{i:05d}") for i in range(args.n)]
rng.shuffle(tasks)
n_test = int(args.n * args.test_frac)
splits = {"test": tasks[:n_test], "train": tasks[n_test:]}
args.out.mkdir(parents=True, exist_ok=True)
for name, rows in splits.items():
path = args.out / f"{name}.jsonl"
with path.open("w") as f:
for r in rows:
f.write(json.dumps(r) + "\n")
print(f"{name}: {len(rows)} -> {path}")
if __name__ == "__main__":
main()
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