Upload arc/pattern_atoms.py with huggingface_hub
Browse files- arc/pattern_atoms.py +332 -0
arc/pattern_atoms.py
ADDED
|
@@ -0,0 +1,332 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
"""
|
| 2 |
+
arc/pattern_atoms.py β Transform pattern detection as Atoms
|
| 3 |
+
|
| 4 |
+
ARC-AGI tasks encode grid transformations. We detect these as "TransformAtoms"
|
| 5 |
+
and synthesize rules by composing them.
|
| 6 |
+
|
| 7 |
+
TransformAtom categories:
|
| 8 |
+
- geometric: rotate, flip, translate, scale, tile
|
| 9 |
+
- color: recolor, fill, swap, gradient
|
| 10 |
+
- structural: crop, extract, overlay, merge, split
|
| 11 |
+
- logical: mask, conditional, count-based
|
| 12 |
+
- topological: flood_fill, boundary, connectivity
|
| 13 |
+
"""
|
| 14 |
+
|
| 15 |
+
from __future__ import annotations
|
| 16 |
+
from typing import List, Optional, Tuple, Dict
|
| 17 |
+
from dataclasses import dataclass
|
| 18 |
+
from arc.grid import (
|
| 19 |
+
Grid, grid_shape, grid_eq, grid_colors,
|
| 20 |
+
rotate_90, rotate_180, rotate_270,
|
| 21 |
+
flip_h, flip_v, transpose,
|
| 22 |
+
tile, tile_with_flip, tile_checkerboard,
|
| 23 |
+
recolor, most_common_color,
|
| 24 |
+
extract_subgrid, flood_fill_regions, analyze,
|
| 25 |
+
)
|
| 26 |
+
|
| 27 |
+
|
| 28 |
+
@dataclass
|
| 29 |
+
class TransformAtom:
|
| 30 |
+
"""An atomic transformation detected between inputβoutput"""
|
| 31 |
+
category: str # geometric, color, structural, logical, topological
|
| 32 |
+
operation: str # specific operation name
|
| 33 |
+
params: dict # operation parameters
|
| 34 |
+
confidence: float # how well this explains the transform (0-1)
|
| 35 |
+
explanation: str # human-readable description
|
| 36 |
+
|
| 37 |
+
|
| 38 |
+
def detect_transforms(inp: Grid, out: Grid) -> List[TransformAtom]:
|
| 39 |
+
"""Detect all possible transform atoms between input and output grids."""
|
| 40 |
+
atoms = []
|
| 41 |
+
|
| 42 |
+
atoms.extend(_detect_geometric(inp, out))
|
| 43 |
+
atoms.extend(_detect_tiling(inp, out))
|
| 44 |
+
atoms.extend(_detect_color_mapping(inp, out))
|
| 45 |
+
atoms.extend(_detect_scaling(inp, out))
|
| 46 |
+
atoms.extend(_detect_crop_or_extract(inp, out))
|
| 47 |
+
atoms.extend(_detect_overlay(inp, out))
|
| 48 |
+
|
| 49 |
+
# Sort by confidence
|
| 50 |
+
atoms.sort(key=lambda a: a.confidence, reverse=True)
|
| 51 |
+
return atoms
|
| 52 |
+
|
| 53 |
+
|
| 54 |
+
# ββ Geometric transforms ββ
|
| 55 |
+
|
| 56 |
+
def _detect_geometric(inp: Grid, out: Grid) -> List[TransformAtom]:
|
| 57 |
+
atoms = []
|
| 58 |
+
ih, iw = grid_shape(inp)
|
| 59 |
+
oh, ow = grid_shape(out)
|
| 60 |
+
|
| 61 |
+
# Identity
|
| 62 |
+
if grid_eq(inp, out):
|
| 63 |
+
atoms.append(TransformAtom('geometric', 'identity', {}, 1.0, 'Output is identical to input'))
|
| 64 |
+
|
| 65 |
+
# Same size transforms
|
| 66 |
+
if (ih, iw) == (oh, ow):
|
| 67 |
+
if grid_eq(flip_h(inp), out):
|
| 68 |
+
atoms.append(TransformAtom('geometric', 'flip_h', {}, 1.0, 'Horizontal flip'))
|
| 69 |
+
if grid_eq(flip_v(inp), out):
|
| 70 |
+
atoms.append(TransformAtom('geometric', 'flip_v', {}, 1.0, 'Vertical flip'))
|
| 71 |
+
if grid_eq(rotate_180(inp), out):
|
| 72 |
+
atoms.append(TransformAtom('geometric', 'rotate_180', {}, 1.0, '180Β° rotation'))
|
| 73 |
+
|
| 74 |
+
# Rotated (dimensions swap)
|
| 75 |
+
if (ih, iw) == (ow, oh):
|
| 76 |
+
if grid_eq(rotate_90(inp), out):
|
| 77 |
+
atoms.append(TransformAtom('geometric', 'rotate_90', {}, 1.0, '90Β° clockwise rotation'))
|
| 78 |
+
if grid_eq(rotate_270(inp), out):
|
| 79 |
+
atoms.append(TransformAtom('geometric', 'rotate_270', {}, 1.0, '270Β° clockwise rotation'))
|
| 80 |
+
if grid_eq(transpose(inp), out):
|
| 81 |
+
atoms.append(TransformAtom('geometric', 'transpose', {}, 1.0, 'Transpose'))
|
| 82 |
+
|
| 83 |
+
return atoms
|
| 84 |
+
|
| 85 |
+
|
| 86 |
+
# ββ Tiling ββ
|
| 87 |
+
|
| 88 |
+
def _detect_tiling(inp: Grid, out: Grid) -> List[TransformAtom]:
|
| 89 |
+
atoms = []
|
| 90 |
+
ih, iw = grid_shape(inp)
|
| 91 |
+
oh, ow = grid_shape(out)
|
| 92 |
+
|
| 93 |
+
if ih == 0 or iw == 0:
|
| 94 |
+
return atoms
|
| 95 |
+
|
| 96 |
+
# Check if output is exact tiling of input
|
| 97 |
+
if oh % ih == 0 and ow % iw == 0:
|
| 98 |
+
rh = oh // ih
|
| 99 |
+
rw = ow // iw
|
| 100 |
+
if rh >= 1 and rw >= 1 and (rh > 1 or rw > 1):
|
| 101 |
+
# Simple tile
|
| 102 |
+
if grid_eq(tile(inp, rh, rw), out):
|
| 103 |
+
atoms.append(TransformAtom(
|
| 104 |
+
'geometric', 'tile', {'repeat_h': rh, 'repeat_w': rw},
|
| 105 |
+
1.0, f'Tile {rh}Γ{rw}'
|
| 106 |
+
))
|
| 107 |
+
# Tile with alternating row flips
|
| 108 |
+
if grid_eq(tile_with_flip(inp, rh, rw), out):
|
| 109 |
+
atoms.append(TransformAtom(
|
| 110 |
+
'geometric', 'tile_flip', {'repeat_h': rh, 'repeat_w': rw},
|
| 111 |
+
1.0, f'Tile with row flip {rh}Γ{rw}'
|
| 112 |
+
))
|
| 113 |
+
# Tile with checkerboard flips
|
| 114 |
+
if grid_eq(tile_checkerboard(inp, rh, rw), out):
|
| 115 |
+
atoms.append(TransformAtom(
|
| 116 |
+
'geometric', 'tile_checkerboard', {'repeat_h': rh, 'repeat_w': rw},
|
| 117 |
+
1.0, f'Tile checkerboard {rh}Γ{rw}'
|
| 118 |
+
))
|
| 119 |
+
|
| 120 |
+
return atoms
|
| 121 |
+
|
| 122 |
+
|
| 123 |
+
# ββ Color mapping ββ
|
| 124 |
+
|
| 125 |
+
def _detect_color_mapping(inp: Grid, out: Grid) -> List[TransformAtom]:
|
| 126 |
+
atoms = []
|
| 127 |
+
ih, iw = grid_shape(inp)
|
| 128 |
+
oh, ow = grid_shape(out)
|
| 129 |
+
|
| 130 |
+
if (ih, iw) != (oh, ow):
|
| 131 |
+
return atoms
|
| 132 |
+
|
| 133 |
+
# Try to find a consistent color mapping
|
| 134 |
+
cmap = {}
|
| 135 |
+
consistent = True
|
| 136 |
+
for r in range(ih):
|
| 137 |
+
for c in range(iw):
|
| 138 |
+
ic = inp[r][c]
|
| 139 |
+
oc = out[r][c]
|
| 140 |
+
if ic in cmap:
|
| 141 |
+
if cmap[ic] != oc:
|
| 142 |
+
consistent = False
|
| 143 |
+
break
|
| 144 |
+
else:
|
| 145 |
+
cmap[ic] = oc
|
| 146 |
+
if not consistent:
|
| 147 |
+
break
|
| 148 |
+
|
| 149 |
+
if consistent and cmap:
|
| 150 |
+
# Check it's not identity
|
| 151 |
+
non_identity = any(k != v for k, v in cmap.items())
|
| 152 |
+
if non_identity:
|
| 153 |
+
atoms.append(TransformAtom(
|
| 154 |
+
'color', 'recolor', {'map': cmap},
|
| 155 |
+
1.0, f'Color mapping: {cmap}'
|
| 156 |
+
))
|
| 157 |
+
|
| 158 |
+
# Check for color swap (AβB)
|
| 159 |
+
swaps = [(k, v) for k, v in cmap.items() if cmap.get(v) == k and k != v]
|
| 160 |
+
if swaps:
|
| 161 |
+
atoms.append(TransformAtom(
|
| 162 |
+
'color', 'color_swap', {'swaps': swaps},
|
| 163 |
+
0.95, f'Color swap: {swaps}'
|
| 164 |
+
))
|
| 165 |
+
|
| 166 |
+
return atoms
|
| 167 |
+
|
| 168 |
+
|
| 169 |
+
# ββ Scaling ββ
|
| 170 |
+
|
| 171 |
+
def _detect_scaling(inp: Grid, out: Grid) -> List[TransformAtom]:
|
| 172 |
+
atoms = []
|
| 173 |
+
ih, iw = grid_shape(inp)
|
| 174 |
+
oh, ow = grid_shape(out)
|
| 175 |
+
|
| 176 |
+
if ih == 0 or iw == 0:
|
| 177 |
+
return atoms
|
| 178 |
+
|
| 179 |
+
# Integer scaling
|
| 180 |
+
if oh % ih == 0 and ow % iw == 0:
|
| 181 |
+
sh = oh // ih
|
| 182 |
+
sw = ow // iw
|
| 183 |
+
if sh == sw and sh > 1:
|
| 184 |
+
# Check pixel scaling
|
| 185 |
+
scaled = True
|
| 186 |
+
for r in range(ih):
|
| 187 |
+
for c in range(iw):
|
| 188 |
+
for dr in range(sh):
|
| 189 |
+
for dc in range(sw):
|
| 190 |
+
if out[r * sh + dr][c * sw + dc] != inp[r][c]:
|
| 191 |
+
scaled = False
|
| 192 |
+
break
|
| 193 |
+
if not scaled:
|
| 194 |
+
break
|
| 195 |
+
if not scaled:
|
| 196 |
+
break
|
| 197 |
+
if not scaled:
|
| 198 |
+
break
|
| 199 |
+
|
| 200 |
+
if scaled:
|
| 201 |
+
atoms.append(TransformAtom(
|
| 202 |
+
'geometric', 'scale', {'factor': sh},
|
| 203 |
+
1.0, f'Scale {sh}x'
|
| 204 |
+
))
|
| 205 |
+
|
| 206 |
+
return atoms
|
| 207 |
+
|
| 208 |
+
|
| 209 |
+
# ββ Crop / Extract ββ
|
| 210 |
+
|
| 211 |
+
def _detect_crop_or_extract(inp: Grid, out: Grid) -> List[TransformAtom]:
|
| 212 |
+
atoms = []
|
| 213 |
+
ih, iw = grid_shape(inp)
|
| 214 |
+
oh, ow = grid_shape(out)
|
| 215 |
+
|
| 216 |
+
# Output smaller β could be crop/extract
|
| 217 |
+
if oh <= ih and ow <= iw and (oh < ih or ow < iw):
|
| 218 |
+
# Try all positions
|
| 219 |
+
for r in range(ih - oh + 1):
|
| 220 |
+
for c in range(iw - ow + 1):
|
| 221 |
+
sub = extract_subgrid(inp, r, c, r + oh - 1, c + ow - 1)
|
| 222 |
+
if grid_eq(sub, out):
|
| 223 |
+
atoms.append(TransformAtom(
|
| 224 |
+
'structural', 'extract', {'r': r, 'c': c, 'h': oh, 'w': ow},
|
| 225 |
+
0.9, f'Extract subgrid at ({r},{c}) size {oh}Γ{ow}'
|
| 226 |
+
))
|
| 227 |
+
|
| 228 |
+
# Extract by region (non-bg bounding box)
|
| 229 |
+
regions = flood_fill_regions(inp)
|
| 230 |
+
if regions:
|
| 231 |
+
for reg in regions[:5]:
|
| 232 |
+
r1, c1, r2, c2 = reg['bbox']
|
| 233 |
+
sub = extract_subgrid(inp, r1, c1, r2, c2)
|
| 234 |
+
if grid_eq(sub, out):
|
| 235 |
+
atoms.append(TransformAtom(
|
| 236 |
+
'structural', 'extract_region',
|
| 237 |
+
{'color': reg['color'], 'bbox': reg['bbox']},
|
| 238 |
+
0.95, f'Extract region color={reg["color"]} bbox={reg["bbox"]}'
|
| 239 |
+
))
|
| 240 |
+
|
| 241 |
+
return atoms
|
| 242 |
+
|
| 243 |
+
|
| 244 |
+
# ββ Overlay / Merge ββ
|
| 245 |
+
|
| 246 |
+
def _detect_overlay(inp: Grid, out: Grid) -> List[TransformAtom]:
|
| 247 |
+
atoms = []
|
| 248 |
+
ih, iw = grid_shape(inp)
|
| 249 |
+
oh, ow = grid_shape(out)
|
| 250 |
+
|
| 251 |
+
if (ih, iw) != (oh, ow):
|
| 252 |
+
return atoms
|
| 253 |
+
|
| 254 |
+
# Check which cells changed
|
| 255 |
+
changed = []
|
| 256 |
+
unchanged = []
|
| 257 |
+
for r in range(ih):
|
| 258 |
+
for c in range(iw):
|
| 259 |
+
if inp[r][c] != out[r][c]:
|
| 260 |
+
changed.append((r, c, inp[r][c], out[r][c]))
|
| 261 |
+
else:
|
| 262 |
+
unchanged.append((r, c))
|
| 263 |
+
|
| 264 |
+
if not changed:
|
| 265 |
+
return atoms
|
| 266 |
+
|
| 267 |
+
# Check if all changes are to the same color (fill)
|
| 268 |
+
new_colors = set(nc for _, _, _, nc in changed)
|
| 269 |
+
if len(new_colors) == 1:
|
| 270 |
+
fill_color = new_colors.pop()
|
| 271 |
+
old_colors = set(oc for _, _, oc, _ in changed)
|
| 272 |
+
atoms.append(TransformAtom(
|
| 273 |
+
'color', 'fill_cells',
|
| 274 |
+
{'count': len(changed), 'new_color': fill_color, 'old_colors': list(old_colors)},
|
| 275 |
+
0.7, f'Fill {len(changed)} cells β color {fill_color}'
|
| 276 |
+
))
|
| 277 |
+
|
| 278 |
+
# Check if changes only affect background cells
|
| 279 |
+
bg = most_common_color(inp)
|
| 280 |
+
if all(oc == bg for _, _, oc, _ in changed):
|
| 281 |
+
atoms.append(TransformAtom(
|
| 282 |
+
'structural', 'fill_background',
|
| 283 |
+
{'bg_color': bg, 'new_colors': list(new_colors)},
|
| 284 |
+
0.75, f'Fill background (color {bg}) with new patterns'
|
| 285 |
+
))
|
| 286 |
+
|
| 287 |
+
return atoms
|
| 288 |
+
|
| 289 |
+
|
| 290 |
+
# ββ Cross-matching transforms across train examples ββ
|
| 291 |
+
|
| 292 |
+
def find_common_transforms(train_pairs: List[Tuple[Grid, Grid]]) -> List[TransformAtom]:
|
| 293 |
+
"""Find transforms that appear in ALL training pairs"""
|
| 294 |
+
if not train_pairs:
|
| 295 |
+
return []
|
| 296 |
+
|
| 297 |
+
# Get transforms for each pair
|
| 298 |
+
per_pair = [detect_transforms(inp, out) for inp, out in train_pairs]
|
| 299 |
+
|
| 300 |
+
if not per_pair:
|
| 301 |
+
return []
|
| 302 |
+
|
| 303 |
+
# Find operations that appear in all pairs
|
| 304 |
+
# Match by (category, operation)
|
| 305 |
+
first_ops = {(a.category, a.operation) for a in per_pair[0]}
|
| 306 |
+
|
| 307 |
+
common_ops = first_ops
|
| 308 |
+
for pair_atoms in per_pair[1:]:
|
| 309 |
+
pair_ops = {(a.category, a.operation) for a in pair_atoms}
|
| 310 |
+
common_ops = common_ops & pair_ops
|
| 311 |
+
|
| 312 |
+
# Collect common atoms with averaged confidence
|
| 313 |
+
result = []
|
| 314 |
+
for cat, op in common_ops:
|
| 315 |
+
atoms_per_pair = []
|
| 316 |
+
for pair_atoms in per_pair:
|
| 317 |
+
matching = [a for a in pair_atoms if a.category == cat and a.operation == op]
|
| 318 |
+
if matching:
|
| 319 |
+
atoms_per_pair.append(matching[0])
|
| 320 |
+
|
| 321 |
+
if len(atoms_per_pair) == len(train_pairs):
|
| 322 |
+
# Check if params are consistent
|
| 323 |
+
avg_conf = sum(a.confidence for a in atoms_per_pair) / len(atoms_per_pair)
|
| 324 |
+
result.append(TransformAtom(
|
| 325 |
+
cat, op,
|
| 326 |
+
atoms_per_pair[0].params, # use first pair's params
|
| 327 |
+
avg_conf,
|
| 328 |
+
f'{atoms_per_pair[0].explanation} (consistent across {len(train_pairs)} examples)'
|
| 329 |
+
))
|
| 330 |
+
|
| 331 |
+
result.sort(key=lambda a: a.confidence, reverse=True)
|
| 332 |
+
return result
|