Download scripts/plotting/surface_metrics.py from andreacenzato/Ground-Wing: direct link, hf CLI and curl.
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curl -L -o surface_metrics.py https://huggingface.co/datasets/andreacenzato/Ground-Wing/resolve/main/scripts/plotting/surface_metrics.py
10.7 kB
| """Compute the surface field errors and the integral force coefficients from the meshes. | |
| Every prediction mesh should contain both the CFD ground truth and the prediction of each surface | |
| field. | |
| Field errors | |
| Computed per run for the pressure coefficient Cp and the wall shear stress magnitude |ws|. | |
| With ground truth t, prediction p, error e = p - t and N surface elements, an absolute and | |
| a relative family of metrics is stored: | |
| mse_abs = mean(e^2) l1_abs = mean(|e|) | |
| l2_abs = sqrt(sum(e^2)) rmse_abs = sqrt(mse_abs) | |
| srmse = rmse_abs / std(t) | |
| mse_rel = sum(e^2) / sum(t^2) l1_rel = sum(|e|) / sum(|t|) | |
| l2_rel = sqrt(sum(e^2) / sum(t^2)) | |
| r2 = 1 - sum(e^2) / sum((t - mean(t))^2) | |
| Force coefficients | |
| Drag and lift are integrated over the surface from the cell areas A, the cell normals n and | |
| the dynamic pressure q: | |
| F/q = sum(Cp * n * A) + sum(tau * A) / q | |
| Cd = (F/q)_x / reference_area | |
| Cl = (F/q)_z / reference_area | |
| Writes outputs per split and per model under outputs/metrics/, merged into field_metrics.csv | |
| and coefficients.csv. | |
| Existing files are reused unless --force is given. | |
| Run this before coefficient_error.py and field_screenshots.py, which read its output. | |
| Examples: | |
| python3 surface_metrics.py # everything, 8 workers | |
| python3 surface_metrics.py --splits stratified --models abupt | |
| python3 surface_metrics.py --force --workers 6 | |
| """ | |
| from __future__ import annotations | |
| import argparse | |
| import multiprocessing as mp | |
| import os | |
| import sys | |
| from pathlib import Path | |
| import numpy as np | |
| import pandas as pd | |
| sys.path.insert(0, str(Path(__file__).resolve().parent)) | |
| from inference_io import ( # noqa: E402 | |
| all_model_labels, | |
| coeff_columns, | |
| field_keys, | |
| mesh_files, | |
| mesh_models, | |
| metrics_dir, | |
| read_field, | |
| splits as all_splits, | |
| ) | |
| # Flow conditions of the dataset, as configured for every model's training run. | |
| air_density = 1.18858 | |
| stream_velocity = 50.0 | |
| reference_area = 1.0 | |
| dynamic_pressure = 0.5 * air_density * stream_velocity**2 | |
| metric_columns = [ | |
| "n", | |
| "t_mean", | |
| "t_std", | |
| "p_mean", | |
| "p_std", | |
| "mse_abs", | |
| "l1_abs", | |
| "l2_abs", | |
| "rmse_abs", | |
| "srmse", | |
| "mse_rel", | |
| "l1_rel", | |
| "l2_rel", | |
| "r2", | |
| ] | |
| field_columns = ["split", "model", "run_id", "field", *metric_columns] | |
| coefficient_columns = ["split", "model", "run_id", *coeff_columns] | |
| def _magnitude(values: np.ndarray) -> np.ndarray: | |
| """Collapse a vector field to its magnitude; scalars pass through.""" | |
| return np.linalg.norm(values, axis=1) if values.ndim == 2 else values | |
| def _metrics(truth: np.ndarray, pred: np.ndarray) -> dict[str, float]: | |
| error = pred - truth | |
| sq_error = float(np.sum(error**2)) | |
| sq_truth = float(np.sum(truth**2)) | |
| n = truth.size | |
| variance = float(np.sum((truth - truth.mean()) ** 2)) | |
| mse_abs = sq_error / n | |
| return { | |
| "n": n, | |
| "t_mean": float(truth.mean()), | |
| "t_std": float(truth.std()), | |
| "p_mean": float(pred.mean()), | |
| "p_std": float(pred.std()), | |
| "mse_abs": mse_abs, | |
| "l1_abs": float(np.abs(error).mean()), | |
| "l2_abs": float(np.sqrt(sq_error)), | |
| "rmse_abs": float(np.sqrt(mse_abs)), | |
| "srmse": float(np.sqrt(mse_abs) / truth.std()) if truth.std() > 0 else np.nan, | |
| "mse_rel": sq_error / sq_truth if sq_truth > 0 else np.nan, | |
| "l1_rel": float(np.abs(error).sum() / np.abs(truth).sum()) | |
| if np.abs(truth).sum() > 0 | |
| else np.nan, | |
| "l2_rel": float(np.sqrt(sq_error / sq_truth)) if sq_truth > 0 else np.nan, | |
| "r2": 1.0 - sq_error / variance if variance > 0 else np.nan, | |
| } | |
| def _coefficients(mesh) -> dict[str, float]: | |
| """Drag and lift of the ground truth and of the prediction, by surface integration.""" | |
| # The fields are cell data for most models and point data for X-MeshGraphNet; the integral | |
| # needs one value per cell either way. | |
| if "MeanPressureCoefficient" in mesh.point_data: | |
| mesh = mesh.point_data_to_cell_data(pass_point_data=False) | |
| areas = np.asarray( | |
| mesh.compute_cell_sizes(length=False, area=True, volume=False).cell_data["Area"], | |
| dtype=np.float64, | |
| ) | |
| normals = np.asarray( | |
| mesh.compute_normals( | |
| cell_normals=True, | |
| point_normals=False, | |
| consistent_normals=False, | |
| auto_orient_normals=False, | |
| ).cell_data["Normals"], | |
| dtype=np.float64, | |
| ) | |
| arrays = { | |
| f"{name}{suffix}": read_field(mesh, f"{name}{suffix}") | |
| for name in field_keys | |
| for suffix in ("", "Pred") | |
| } | |
| # One mask for all four arrays, so the truth and the prediction are integrated over exactly | |
| # the same cells even when a prediction is non-finite on one of them. | |
| finite = np.ones(len(areas), dtype=bool) | |
| for values in arrays.values(): | |
| finite &= np.isfinite(values).all(axis=1) if values.ndim == 2 else np.isfinite(values) | |
| out = {} | |
| for suffix in ("", "Pred"): | |
| cp = arrays[f"MeanPressureCoefficient{suffix}"][finite] | |
| shear = arrays[f"MeanWallShearStress{suffix}"][finite] | |
| force = (cp[:, None] * normals[finite] * areas[finite, None]).sum(axis=0) | |
| force += (shear * areas[finite, None]).sum(axis=0) / dynamic_pressure | |
| out[f"Cd{suffix}"] = float(force[0] / reference_area) | |
| out[f"Cl{suffix}"] = float(force[2] / reference_area) | |
| return out | |
| def _process(task: tuple[str, str, str, str]) -> tuple[list[dict], dict]: | |
| """Worker: read one mesh and return its field rows and its coefficient row.""" | |
| import pyvista as pv | |
| split, model, run_id, path = task | |
| mesh = pv.read(path) | |
| rows = [] | |
| for array, field in field_keys.items(): | |
| truth = _magnitude(read_field(mesh, array)) | |
| pred = _magnitude(read_field(mesh, f"{array}Pred")) | |
| if truth.shape != pred.shape: | |
| raise ValueError( | |
| f"{path}: {array} shape {truth.shape} != prediction {pred.shape}" | |
| ) | |
| # Non-finite elements are dropped so the run still yields a metric; `n` records how | |
| # many elements were actually used. | |
| finite = np.isfinite(truth) & np.isfinite(pred) | |
| if not finite.all(): | |
| print(f" {run_id} {field}: dropped {int((~finite).sum())} " | |
| f"non-finite element(s) of {finite.size}", flush=True) | |
| truth, pred = truth[finite], pred[finite] | |
| rows.append( | |
| {"split": split, "model": model, "run_id": run_id, "field": field, | |
| **_metrics(truth, pred)} | |
| ) | |
| coefficients = {"split": split, "model": model, "run_id": run_id, **_coefficients(mesh)} | |
| return rows, coefficients | |
| def _shard_paths(split: str, model: str) -> tuple[Path, Path]: | |
| return ( | |
| metrics_dir / f"{split}__{model}__fields.csv", | |
| metrics_dir / f"{split}__{model}__coefficients.csv", | |
| ) | |
| def compute_shard(split: str, model: str, workers: int, force: bool) -> None: | |
| """Compute (or reuse) the field metrics and coefficients for one split/model.""" | |
| field_path, coeff_path = _shard_paths(split, model) | |
| if field_path.exists() and coeff_path.exists() and not force: | |
| print(f" {split}/{model}: cached ({field_path.name})", flush=True) | |
| return | |
| meshes = mesh_files(split, model) | |
| tasks = [(split, model, run_id, str(p)) for run_id, p in meshes.items()] | |
| print(f" {split}/{model}: {len(tasks)} meshes on {workers} workers", flush=True) | |
| field_rows: list[dict] = [] | |
| coeff_rows: list[dict] = [] | |
| with mp.Pool(processes=workers) as pool: | |
| for i, (rows, coefficients) in enumerate( | |
| pool.imap_unordered(_process, tasks, chunksize=1), 1 | |
| ): | |
| field_rows.extend(rows) | |
| coeff_rows.append(coefficients) | |
| if i % 10 == 0 or i == len(tasks): | |
| print(f" {i}/{len(tasks)}", flush=True) | |
| metrics_dir.mkdir(parents=True, exist_ok=True) | |
| ( | |
| pd.DataFrame(field_rows, columns=field_columns) | |
| .sort_values(["run_id", "field"]) | |
| .reset_index(drop=True) | |
| .to_csv(field_path, index=False) | |
| ) | |
| ( | |
| pd.DataFrame(coeff_rows, columns=coefficient_columns) | |
| .sort_values("run_id") | |
| .reset_index(drop=True) | |
| .to_csv(coeff_path, index=False) | |
| ) | |
| def _merge(pattern: str, sort_by: list[str], out_name: str) -> pd.DataFrame: | |
| """Concatenate every shard matching `pattern` into one file under outputs/metrics/.""" | |
| paths = sorted(metrics_dir.glob(pattern)) | |
| if not paths: | |
| raise FileNotFoundError(f"no shards matching {pattern} under {metrics_dir}") | |
| merged = pd.concat( | |
| [pd.read_csv(p, dtype={"run_id": str}) for p in paths], ignore_index=True | |
| ) | |
| split_order = {name: i for i, name in enumerate(all_splits)} | |
| model_order = {name: i for i, name in enumerate(all_model_labels)} | |
| merged = merged.sort_values( | |
| sort_by, | |
| key=lambda s: s.map(split_order) if s.name == "split" | |
| else (s.map(model_order) if s.name == "model" else s), | |
| ).reset_index(drop=True) | |
| out = metrics_dir / out_name | |
| merged.to_csv(out, index=False) | |
| print(f"wrote {out} ({len(merged)} rows)") | |
| return merged | |
| def merge_shards() -> pd.DataFrame: | |
| """Merge both shard families; returns the field metrics.""" | |
| print() | |
| _merge("*__coefficients.csv", ["split", "model", "run_id"], "coefficients.csv") | |
| return _merge( | |
| "*__fields.csv", ["split", "model", "run_id", "field"], "field_metrics.csv" | |
| ) | |
| def main() -> None: | |
| parser = argparse.ArgumentParser(description=__doc__.split("\n")[0]) | |
| parser.add_argument("--splits", nargs="+", default=all_splits, choices=all_splits) | |
| parser.add_argument("--models", nargs="+", default=mesh_models(), | |
| choices=list(all_model_labels)) | |
| parser.add_argument("--workers", type=int, | |
| default=max(1, min(8, (os.cpu_count() or 4) - 2))) | |
| parser.add_argument("--force", action="store_true", | |
| help="recompute shards that already exist") | |
| args = parser.parse_args() | |
| for split in args.splits: | |
| print(f"{split}:") | |
| for model in args.models: | |
| compute_shard(split, model, args.workers, args.force) | |
| merged = merge_shards() | |
| summary = ( | |
| merged.groupby(["split", "model", "field"], sort=False) | |
| .agg(runs=("run_id", "nunique"), l2_rel=("l2_rel", "mean"), mse=("mse_abs", "mean")) | |
| .reset_index() | |
| ) | |
| print(summary.to_string(index=False)) | |
| if __name__ == "__main__": | |
| main() | |