File size: 6,386 Bytes
ccf9f1b | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 | from __future__ import annotations
import argparse
from pathlib import Path
import numpy as np
from PIL import Image, ImageDraw, ImageFont
from driftwm.sim.flow import sample_flow
from driftwm.utils import ensure_dir
PAPER_FLOW_FAMILIES = [
"noflow",
"uniform",
"vortex_center",
"double_gyre",
"source_sink",
"source_sink_pair",
"gradient",
"shear",
"turbulent_patch",
"random_fourier",
]
def color_map(values: np.ndarray, vmax: float = 0.38) -> np.ndarray:
x = np.clip(values / vmax, 0.0, 1.0)
stops = np.array(
[
[18, 35, 61],
[31, 91, 107],
[64, 145, 108],
[164, 190, 105],
[244, 220, 102],
],
dtype=np.float32,
)
scaled = x * (len(stops) - 1)
lo = np.floor(scaled).astype(np.int32)
hi = np.clip(lo + 1, 0, len(stops) - 1)
frac = scaled[..., None] - lo[..., None]
return ((1.0 - frac) * stops[lo] + frac * stops[hi]).astype(np.uint8)
def draw_arrow(draw: ImageDraw.ImageDraw, start: tuple[float, float], vec: tuple[float, float], scale: float) -> None:
vx, vy = vec
norm = float(np.hypot(vx, vy))
if norm < 1.0e-4:
return
sx, sy = start
ex = sx + scale * vx
ey = sy - scale * vy
draw.line((sx, sy, ex, ey), fill=(255, 255, 255), width=2)
ux = (ex - sx) / max(float(np.hypot(ex - sx, ey - sy)), 1.0e-6)
uy = (ey - sy) / max(float(np.hypot(ex - sx, ey - sy)), 1.0e-6)
px, py = -uy, ux
size = 6.0
p1 = (ex, ey)
p2 = (ex - size * ux + 0.55 * size * px, ey - size * uy + 0.55 * size * py)
p3 = (ex - size * ux - 0.55 * size * px, ey - size * uy - 0.55 * size * py)
draw.polygon((p1, p2, p3), fill=(255, 255, 255))
def make_panel(
family: str,
flow_seed: int,
panel_size: int = 320,
*,
show_header: bool = True,
show_seed: bool = True,
) -> Image.Image:
rng = np.random.default_rng(flow_seed)
flow = sample_flow(family, rng, flow_id=flow_seed)
n_bg = 96
xs = np.linspace(0.0, 10.0, n_bg, dtype=np.float32)
ys = np.linspace(0.0, 10.0, n_bg, dtype=np.float32)
bg_grid = np.stack(np.meshgrid(xs, ys), axis=-1).astype(np.float32)
bg_velocity = flow.velocity(bg_grid, t=0.0)
speed = np.linalg.norm(bg_velocity, axis=-1)
bg = Image.fromarray(color_map(np.flipud(speed)), mode="RGB").resize((panel_size, panel_size), Image.Resampling.BICUBIC)
header = 44 if show_header else 0
panel = Image.new("RGB", (panel_size, panel_size + header), (245, 245, 240))
panel.paste(bg, (0, header))
draw = ImageDraw.Draw(panel)
font = ImageFont.load_default()
draw.rectangle((0, 0, panel_size - 1, panel_size + header - 1), outline=(22, 28, 33), width=2)
if show_header:
draw.text((10, 10), f"{family}", fill=(20, 24, 28), font=font)
if show_seed:
draw.text((10, 25), f"seed={flow_seed}", fill=(55, 61, 68), font=font)
n_arrow = 13
ax = np.linspace(0.8, 9.2, n_arrow, dtype=np.float32)
ay = np.linspace(0.8, 9.2, n_arrow, dtype=np.float32)
arrow_grid = np.stack(np.meshgrid(ax, ay), axis=-1).astype(np.float32)
arrow_velocity = flow.velocity(arrow_grid, t=0.0)
for pos, vel in zip(arrow_grid.reshape(-1, 2), arrow_velocity.reshape(-1, 2), strict=True):
px = 0.5 + pos[0] / 10.0 * (panel_size - 1)
py = header + 0.5 + (1.0 - pos[1] / 10.0) * (panel_size - 1)
draw_arrow(draw, (float(px), float(py)), (float(vel[0]), float(vel[1])), scale=72.0)
return panel
def _family_seeds(seed: int) -> list[int]:
rng = np.random.default_rng(seed)
return [int(rng.integers(1, 2**31 - 1)) for _ in PAPER_FLOW_FAMILIES]
def make_flow_atlas(seed: int, out: str | Path, panel_size: int = 320) -> None:
seeds = _family_seeds(seed)
panels = [make_panel(family, flow_seed, panel_size=panel_size) for family, flow_seed in zip(PAPER_FLOW_FAMILIES, seeds, strict=True)]
width, height = panels[0].size
margin = 22
header = 58
cols = 5
rows = int(np.ceil(len(panels) / cols))
atlas = Image.new("RGB", (cols * width + (cols + 1) * margin, rows * height + (rows + 1) * margin + header), (250, 250, 246))
draw = ImageDraw.Draw(atlas)
font = ImageFont.load_default()
draw.text((margin, 18), f"FlowMo-WM paper flow atlas, deterministic atlas seed={seed}", fill=(15, 19, 24), font=font)
for idx, panel in enumerate(panels):
row, col = divmod(idx, cols)
x = margin + col * (width + margin)
y = header + margin + row * (height + margin)
atlas.paste(panel, (x, y))
out = Path(out)
ensure_dir(out.parent)
atlas.save(out)
print(f"wrote {out}")
for family, flow_seed in zip(PAPER_FLOW_FAMILIES, seeds, strict=True):
print(f"{family}: {flow_seed}")
def export_flow_panels(seed: int, out_dir: str | Path, panel_size: int = 640) -> None:
out_dir = Path(out_dir)
clean_dir = out_dir / "clean"
labeled_dir = out_dir / "labeled"
ensure_dir(clean_dir)
ensure_dir(labeled_dir)
rows = ["family\tseed\tclean_png\tlabeled_png"]
for family, flow_seed in zip(PAPER_FLOW_FAMILIES, _family_seeds(seed), strict=True):
clean = make_panel(family, flow_seed, panel_size=panel_size, show_header=False)
labeled = make_panel(family, flow_seed, panel_size=panel_size, show_header=True, show_seed=False)
clean_path = clean_dir / f"{family}.png"
labeled_path = labeled_dir / f"{family}.png"
clean.save(clean_path)
labeled.save(labeled_path)
rows.append(f"{family}\t{flow_seed}\t{clean_path}\t{labeled_path}")
print(f"wrote {clean_path}")
print(f"wrote {labeled_path}")
manifest = out_dir / "manifest.tsv"
manifest.write_text("\n".join(rows) + "\n")
print(f"wrote {manifest}")
def main() -> None:
parser = argparse.ArgumentParser()
parser.add_argument("--seed", type=int, default=20260525)
parser.add_argument("--out", default="experiments/reports/figures/flow_family_atlas.png")
parser.add_argument("--panel-dir", default=None)
parser.add_argument("--panel-size", type=int, default=640)
args = parser.parse_args()
make_flow_atlas(args.seed, args.out)
if args.panel_dir is not None:
export_flow_panels(args.seed, args.panel_dir, panel_size=args.panel_size)
if __name__ == "__main__":
main()
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