data_calibration_robot / code /ti5_arm_scripts /analyze_csp_smoothness.py
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#!/usr/bin/env python3
"""Summarize the direct CSP diagnostic CSV using only the Python stdlib."""
import argparse
import csv
import json
import math
from pathlib import Path
from statistics import median
def sine_fit(times, values, period, origin):
"""Least squares fit of offset + b*sin(w*t) + c*cos(w*t)."""
basis = [(1.0, math.sin(2 * math.pi * (t - origin) / period),
math.cos(2 * math.pi * (t - origin) / period)) for t in times]
matrix = [[sum(x[i] * x[j] for x in basis) for j in range(3)]
+ [sum(x[i] * y for x, y in zip(basis, values))] for i in range(3)]
for i in range(3):
pivot = max(range(i, 3), key=lambda row: abs(matrix[row][i]))
matrix[i], matrix[pivot] = matrix[pivot], matrix[i]
scale = matrix[i][i]
if abs(scale) < 1e-12:
raise ValueError("singular sine fit")
matrix[i] = [v / scale for v in matrix[i]]
for j in range(3):
if j != i:
factor = matrix[j][i]
matrix[j] = [a - factor * b for a, b in zip(matrix[j], matrix[i])]
center, b, c = [matrix[i][3] for i in range(3)]
residual = [y - (center + b * x[1] + c * x[2]) for x, y in zip(basis, values)]
return {"center_deg": center, "amplitude_deg": math.hypot(b, c),
"phase_rad": math.atan2(c, b),
"residual_rms_deg": math.sqrt(sum(x * x for x in residual) / len(residual))}
def tracking_metrics(rows):
errors = [float(r["pdo_target_deg"]) - float(r["actual_deg"]) for r in rows]
return {"samples": len(rows), "max_error_deg": max(map(abs, errors)),
"rms_error_deg": math.sqrt(sum(e * e for e in errors) / len(errors)),
"p99_error_deg": percentile(list(map(abs, errors)), 0.99),
"peak_reported_speed_deg_s": max(abs(float(r["velocity_deg_s"])) for r in rows),
"peak_torque_nm": max(abs(float(r["torque_nm"])) for r in rows)}
def percentile(values, fraction):
ordered = sorted(values)
return ordered[int((len(ordered) - 1) * fraction)] if ordered else None
def analyze(path, joint, phase="all"):
metadata = {}
with path.open() as source:
def data_lines():
for line in source:
if line.startswith("#"):
for item in line[1:].strip().split(","):
if "=" in item:
key, value = item.split("=", 1)
metadata[key.strip()] = value.strip()
else:
yield line
rows = [r for r in csv.DictReader(data_lines())
if int(r["joint"]) == joint and (phase == "all" or r.get("phase", "oscillate") == phase)]
if len(rows) < 2:
raise ValueError("need at least two samples for the selected joint")
times = [float(r["t_s"]) for r in rows]
actual = [float(r["actual_deg"]) for r in rows]
targets = [float(r["pdo_target_deg"]) for r in rows]
gaps = [float(r["command_dt_ms"]) for r in rows[1:]]
nominal_ms = 1000.0 / float(metadata.get("rate_hz", 1000.0))
cycles = [int(r["cycle"]) for r in rows]
# Detect long identical raw-encoder plateaus while the PDO target moves.
# A flag is evidence to inspect, not a diagnosis of the motor or bus.
plateaus = []
start = 0
for end in range(1, len(rows) + 1):
if end < len(rows) and rows[end]["position_counts"] == rows[start]["position_counts"]:
continue
last = end - 1
seconds = times[last] - times[start]
target_span = max(targets[start:end]) - min(targets[start:end])
if seconds >= 0.05 and target_span >= 0.03:
plateaus.append({"start_s": times[start], "duration_ms": seconds * 1000,
"pdo_target_span_deg": target_span,
"cycle_advanced": cycles[last] > cycles[start]})
start = end
# Long stretches of the same cycle suggest stale feedback or a stalled
# backend; the API does not provide a hardware timestamp for each PDO.
stale_max = 0.0
start = 0
for end in range(1, len(rows) + 1):
if end < len(rows) and cycles[end] == cycles[start]:
continue
stale_max = max(stale_max, times[end - 1] - times[start])
start = end
errors = [abs(t - a) for t, a in zip(targets, actual)]
middle_metrics = None
period = float(metadata.get("period_s", 0))
cycles_count = int(metadata.get("cycles", 0))
if period > 0 and cycles_count >= 3:
origin = float(metadata.get("prepare_s", 0)) + period
end = origin + period * (cycles_count - 2)
middle = [r for r in rows if origin <= float(r["t_s"]) <= end]
if len(middle) >= 10:
middle_metrics = tracking_metrics(middle)
ts = [float(r["t_s"]) for r in middle]
for name, column in [("target_fit", "pdo_target_deg"), ("actual_fit", "actual_deg")]:
middle_metrics[name] = sine_fit(ts, [float(r[column]) for r in middle], period, origin)
phase_difference = (middle_metrics["target_fit"]["phase_rad"]
- middle_metrics["actual_fit"]["phase_rad"])
phase_difference = (phase_difference + math.pi) % (2 * math.pi) - math.pi
middle_metrics["equivalent_phase_lag_s"] = phase_difference * period / (2 * math.pi)
middle_metrics["interval_s"] = [origin, end]
return {
"file": str(path), "joint": joint, "phase": phase, "samples": len(rows),
"metadata": metadata,
"duration_s": times[-1] - times[0],
"observed_command_rate_hz": (len(rows) - 1) / (times[-1] - times[0]),
"command_gap_ms": {"median": median(gaps), "p99": percentile(gaps, 0.99),
"max": max(gaps), "over_5ms": sum(g > 5 for g in gaps),
"nominal": nominal_ms,
"over_twice_nominal": sum(g > 2 * nominal_ms for g in gaps)},
"observed_control_cycles_per_s": (cycles[-1] - cycles[0]) / (times[-1] - times[0]),
"max_same_cycle_span_ms": stale_max * 1000,
"actual_span_deg": max(actual) - min(actual),
"pdo_target_span_deg": max(targets) - min(targets),
"pdo_following_error_deg": {"p99": percentile(errors, 0.99), "max": max(errors)},
"tracking": tracking_metrics(rows),
"full_amplitude_middle": middle_metrics,
"last_sample_target_minus_actual_deg": targets[-1] - actual[-1],
"final_offset_from_first_sample_deg": actual[-1] - actual[0],
"working_counters_seen": sorted({int(r["working_counter"]) for r in rows}),
"error_codes_seen": sorted({int(r["error_code"]) for r in rows}),
"modes_seen": sorted({int(r["mode"]) for r in rows}),
"encoder_plateaus_while_target_moves": plateaus,
"note": "Feedback is sampled by the application, not a lossless per-PDO trace. "
"PDO target is a software write echo; it does not confirm drive receipt. "
"Inspect plateaus with command gaps, cycle progress and onsite observations. "
"Phase lag is a sinusoidal frequency-response estimate, not measured network delay. "
"Simulation cannot establish real motor smoothness.",
}
def main():
parser = argparse.ArgumentParser(description=__doc__)
parser.add_argument("csv", type=Path)
parser.add_argument("--joint", type=int, default=6)
parser.add_argument("--phase", choices=["all", "prepare", "oscillate", "hold"], default="all")
args = parser.parse_args()
result = analyze(args.csv, args.joint, args.phase)
if not math.isfinite(result["actual_span_deg"]):
raise ValueError("non-finite position in capture")
print(json.dumps(result, indent=2, ensure_ascii=False))
if __name__ == "__main__":
main()