"""Fonts: can the model render a named font. Prompt: 'A plain white image. The word "" in solid black, centered, in the font Regular. Nothing else in the image.' -- one pinned word per family (data/fonts.jsonl). Scoring: both images are binarized at 128 and speckle under 0.02% of canvas is dropped; each ink mask is cropped to its bounding box; the output is then searched over 21 candidate scales (+/-15% around the height ratio), placed both centered and at the best phase-correlation shift, and the score is the minimum mismatch found -- one XOR over one OR, the fraction of the ink union where the masks disagree. The reported number is IoU = 1 - mismatch. Validity is structural: a real attempt inks a small share of the canvas in a handful of components (scaled up for longer words), so a blank page, a filled page, or a photograph fails without needing the word to be read. Each family carries its own noise floor -- the reference rendered at two sizes and positions, scored against itself through this same function -- recorded per case in ``data/fonts.jsonl`` beside the shipped reference render. """ from __future__ import annotations from dataclasses import dataclass import numpy as np from PIL import Image from skimage.measure import label from skimage.registration import phase_cross_correlation BINARIZE_THRESHOLD = 128 SPECKLE_FRACTION = 0.0002 SCALE_SEARCH_RANGE = 0.15 SCALE_SEARCH_STEPS = 21 MIN_INK_FRACTION = 0.001 MAX_INK_FRACTION = 0.40 MAX_INK_COMPONENTS = 8 def max_ink_components(word: str) -> int: """`MAX_INK_COMPONENTS`, scaled up for a longer word.""" return max(MAX_INK_COMPONENTS, len(word) + 4) @dataclass(frozen=True) class FontResult: mismatch_fraction: float # the scorecard number: XOR / OR over the ink union valid: bool # did it draw the requested word (structurally) def ink_mask(image: Image.Image) -> np.ndarray: """Binarized ink with sub-speckle components dropped.""" gray = np.asarray(image.convert("RGB")).mean(axis=-1) mask = gray < BINARIZE_THRESHOLD labeled = label(mask) if labeled.max() == 0: return mask counts = np.bincount(labeled.ravel()) counts[0] = 0 keep = np.nonzero(counts >= max(1, int(SPECKLE_FRACTION * mask.size)))[0] return np.isin(labeled, keep) def _crop_to_ink(mask: np.ndarray) -> np.ndarray: ys, xs = np.where(mask) return mask[ys.min():ys.max() + 1, xs.min():xs.max() + 1] def _resize_mask(mask: np.ndarray, width: int, height: int) -> np.ndarray: image = Image.fromarray(mask.astype(np.uint8) * 255) return np.asarray(image.resize((width, height), Image.LANCZOS)) >= 128 def _place(mask: np.ndarray, shape: tuple[int, int], y0: int, x0: int) -> np.ndarray: canvas = np.zeros(shape, dtype=bool) h, w = mask.shape src_y0, src_x0 = max(0, -y0), max(0, -x0) dst_y0, dst_x0 = max(0, y0), max(0, x0) copy_h = min(h - src_y0, shape[0] - dst_y0) copy_w = min(w - src_x0, shape[1] - dst_x0) if copy_h > 0 and copy_w > 0: canvas[dst_y0:dst_y0 + copy_h, dst_x0:dst_x0 + copy_w] = ( mask[src_y0:src_y0 + copy_h, src_x0:src_x0 + copy_w] ) return canvas def _mismatch(a: np.ndarray, b: np.ndarray) -> float: union = int((a | b).sum()) return float((a ^ b).sum()) / union if union else 0.0 def font_mismatch( reference: Image.Image, output: Image.Image, max_components: int = MAX_INK_COMPONENTS, ) -> FontResult: ref = ink_mask(reference) out = ink_mask(output) if not ref.any() or not out.any(): # Nothing to align against, so a total mismatch rather than a crash. return FontResult(mismatch_fraction=1.0, valid=False) fraction = float(out.sum()) / out.size valid = ( MIN_INK_FRACTION <= fraction <= MAX_INK_FRACTION and 1 <= int(label(out).max()) <= max_components ) ref, out = _crop_to_ink(ref), _crop_to_ink(out) base = ref.shape[0] / out.shape[0] scales = np.linspace( base * (1 - SCALE_SEARCH_RANGE), base * (1 + SCALE_SEARCH_RANGE), SCALE_SEARCH_STEPS, ) largest_h = max(1, round(out.shape[0] * scales[-1])) largest_w = max(1, round(out.shape[1] * scales[-1])) margin = max(8, round(0.08 * max(*ref.shape, largest_h, largest_w))) shape = (max(ref.shape[0], largest_h) + 2 * margin, max(ref.shape[1], largest_w) + 2 * margin) ref_canvas = _place(ref, shape, (shape[0] - ref.shape[0]) // 2, (shape[1] - ref.shape[1]) // 2) ref_float = ref_canvas.astype(np.float32) best = 1.0 for scale in scales: h = max(1, round(out.shape[0] * scale)) w = max(1, round(out.shape[1] * scale)) resized = _resize_mask(out, w, h) y0, x0 = (shape[0] - h) // 2, (shape[1] - w) // 2 centered = _place(resized, shape, y0, x0) best = min(best, _mismatch(ref_canvas, centered)) shift, _, _ = phase_cross_correlation( ref_float, centered.astype(np.float32), upsample_factor=1, ) dy, dx = int(round(shift[0])), int(round(shift[1])) if dy or dx: shifted = _place(resized, shape, y0 + dy, x0 + dx) best = min(best, _mismatch(ref_canvas, shifted)) return FontResult(mismatch_fraction=best, valid=valid)