XPINNs / scripts /inference.py
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from __future__ import annotations
import sys
from collections.abc import Mapping
from pathlib import Path
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt
import matplotlib.tri as tri
import numpy as np
import torch
import yaml
from matplotlib.patches import Polygon
PROJECT_ROOT = Path(__file__).resolve().parents[1]
sys.path.insert(0, str(PROJECT_ROOT))
sys.path.insert(0, str(Path(__file__).resolve().parent))
from data_utils import ( # noqa: E402
build_evaluation_points,
combined_coordinates,
combined_exact_solution,
load_mat_data,
)
from model.xpinn import XPINNPoisson2D # noqa: E402
DEFAULT_CONFIG = PROJECT_ROOT / "conf" / "config.yaml"
def load_config(path: Path) -> dict:
with path.open("r", encoding="utf-8") as stream:
config = yaml.safe_load(stream)
if not isinstance(config, dict) or "root" not in config:
raise ValueError(f"config must contain a 'root' mapping: {path}")
return config["root"]
def project_path(value: str | Path) -> Path:
path = Path(value).expanduser()
return path if path.is_absolute() else PROJECT_ROOT / path
def resolve_device(requested: str) -> torch.device:
if requested == "auto":
return torch.device("cuda" if torch.cuda.is_available() else "cpu")
device = torch.device(requested)
if device.type == "cuda" and not torch.cuda.is_available():
raise RuntimeError("CUDA/DCU was requested but torch.cuda.is_available() is false")
return device
def resolve_dtype(name: str) -> torch.dtype:
try:
return {"float32": torch.float32, "float64": torch.float64}[name]
except KeyError as error:
raise ValueError(f"unsupported dtype: {name}") from error
def load_model(
checkpoint_path: Path,
fallback_model_config: dict,
device: torch.device,
dtype: torch.dtype,
) -> XPINNPoisson2D:
if not checkpoint_path.is_file():
raise FileNotFoundError(
f"checkpoint not found: {checkpoint_path}. Run scripts/train.py first."
)
checkpoint = torch.load(checkpoint_path, map_location="cpu", weights_only=True)
if not isinstance(checkpoint, Mapping):
raise ValueError(f"invalid XPINN checkpoint: {checkpoint_path}")
if "model_state" in checkpoint:
state = checkpoint["model_state"]
model_config = checkpoint.get("model_config", fallback_model_config)
elif checkpoint and all(torch.is_tensor(value) for value in checkpoint.values()):
state = checkpoint
model_config = fallback_model_config
else:
raise ValueError(f"checkpoint contains no model state: {checkpoint_path}")
model = XPINNPoisson2D(model_config, dtype=dtype).to(device=device, dtype=dtype)
model.load_state_dict(state, strict=True)
model.eval()
return model
def predict(
model: XPINNPoisson2D, evaluation_points: dict[str, torch.Tensor]
) -> np.ndarray:
with torch.no_grad():
predictions = model.predict(
evaluation_points["xy1"],
evaluation_points["xy2"],
evaluation_points["xy3"],
)
return torch.cat(predictions).cpu().numpy().reshape(-1)
def mask_polygon(data: Mapping) -> np.ndarray:
boundary_x = np.asarray(data["xb"]).reshape(-1)
boundary_y = np.asarray(data["yb"]).reshape(-1)
return np.vstack(
(
np.column_stack((boundary_x, boundary_y)),
np.array(
[
[1.8, boundary_y[-1]],
[1.8, -1.7],
[-1.6, -1.7],
[-1.6, 1.55],
[1.8, 1.55],
[1.8, boundary_y[-1]],
]
),
np.array([[boundary_x[-1], boundary_y[-1]]]),
)
)
def save_figure(
data: Mapping,
exact: np.ndarray,
prediction: np.ndarray,
output_path: Path,
) -> None:
x, y = combined_coordinates(data)
if exact.size != x.size or prediction.size != x.size:
raise ValueError("plot coordinates, exact values, and predictions must have equal size")
triangulation = tri.Triangulation(x, y)
polygon = mask_polygon(data)
fields = (
("Exact", exact),
("XPINN", prediction),
("Absolute error", np.abs(exact - prediction)),
)
figure, axes = plt.subplots(1, 3, figsize=(18, 5))
for axis, (title, field) in zip(axes, fields, strict=True):
contour = axis.tricontourf(triangulation, field, 100, cmap="jet")
axis.add_patch(
Polygon(polygon, closed=True, facecolor="white", edgecolor="white")
)
axis.plot(data["xi1"].reshape(-1), data["yi1"].reshape(-1), "w-", linewidth=0.5)
axis.plot(data["xi2"].reshape(-1), data["yi2"].reshape(-1), "w-", linewidth=0.5)
axis.set_title(title)
axis.set_xlabel("x")
axis.set_ylabel("y")
axis.set_aspect("equal")
figure.colorbar(contour, ax=axis)
figure.tight_layout()
figure.savefig(output_path, dpi=150)
plt.close(figure)
def main() -> None:
config_path = DEFAULT_CONFIG.resolve()
config = load_config(config_path)
common = config["common"]
device = resolve_device(str(common["device"]))
dtype = resolve_dtype(str(common["dtype"]))
data_path = project_path(config["data"]["mat_file"])
weight_dir = project_path(common["weight_dir"])
result_dir = project_path(common["result_dir"])
checkpoint_path = weight_dir / config["training"]["checkpoint_name"]
output_path = result_dir / config["inference"]["figure_name"]
result_dir.mkdir(parents=True, exist_ok=True)
print(f"Config: {config_path}")
print(f"Data: {data_path}")
print(f"Checkpoint: {checkpoint_path}")
print(f"Device: {device}")
data = load_mat_data(data_path)
model = load_model(checkpoint_path, config["model"], device, dtype)
evaluation_points = build_evaluation_points(data, device, dtype)
prediction = predict(model, evaluation_points)
exact = combined_exact_solution(data)
relative_l2 = float(
np.linalg.norm(exact - prediction) / np.linalg.norm(exact)
)
save_figure(data, exact, prediction, output_path)
print(f"Relative L2={relative_l2:.6e}")
print(f"Plot: {output_path}")
if __name__ == "__main__":
main()