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#!/usr/bin/env python3
import hashlib
import json
import logging
import numpy as np
import os
from multiprocessing import Pool
from .utils import NpEncoder
logger = logging.getLogger(__name__)
def PELT_get_changepoints(index, penalty, algo):
res = (index, penalty, algo.predict(pen=penalty))
return res
# calculates the raw_states for a measurement. num_measurement is used to identify the return value
# penalty, model and jump are directly passed to pelt
def PELT_get_raw_states(num_measurement, algo, penalty):
changepoints = algo.predict(pen=penalty)
substates = list()
start_index = 0
end_index = 0
# calc metrics for all states
for changepoint in changepoints:
# start_index of state is end_index of previous one
# (Transitions are instantaneous)
start_index = end_index
end_index = changepoint - 1
substate = (start_index, end_index)
substates.append(substate)
return num_measurement, substates
class PELT:
def __init__(self, **kwargs):
"""
Create PELT instance for changepoint detection using Pelt or Dynp.
See <https://centre-borelli.github.io/ruptures-docs/user-guide/> for configuration details.
:param algo: Algorithm to use, either "pelt" or "dynp". Default: "pelt"
:param model: Distance / Optimization metric. Default: "l1"
:param jump: step size for changepoint detection, higher values give coarser results. Default: 1
:param min_dist: minimum number of data samples between two changepoints. Default: 10
:param name_filter: Unused
:param refinement_threshold: perform changepoint detection if p1 and median / p99 and median differ by more than `refinement_threshold`
for at least 1/3 of traces
:param range_min: Minimum penalty for penalty detection, inclusive. Default: 1
:param range_max: Maximum penalty for penalty detection, exclusive. default: 89
:param with_multiprocessing: Use multiprocessing to parallelize changepoint detection.
Set to False when calling PELT From within a parallelized function. Default: True
:param tail_state_only: Only report tail states (i.e., only report the last detected changepoint).
"""
self.algo = "pelt"
self.model = "l1"
self.jump = 1
self.min_dist = 10
self.name_filter = None
self.refinement_threshold = 200e-6 # 200 µW
self.range_min = 1
self.range_max = 89
self.stretch = 1
self.with_multiprocessing = True
self.cache_dir = "cache"
self.tail_state_only = False
self.__dict__.update(kwargs)
self.jump = int(self.jump)
self.min_dist = int(self.min_dist)
self.stretch = int(self.stretch)
if os.getenv("DFATOOL_PELT_MODEL"):
# https://centre-borelli.github.io/ruptures-docs/user-guide/costs/costl1/
self.model = os.getenv("DFATOOL_PELT_MODEL")
if os.getenv("DFATOOL_PELT_JUMP"):
self.jump = int(os.getenv("DFATOOL_PELT_JUMP"))
if os.getenv("DFATOOL_PELT_MIN_DIST"):
self.min_dist = int(os.getenv("DFATOOL_PELT_MIN_DIST"))
# signals: a set of uW measurements belonging to a single parameter configuration (i.e., a single by_param entry)
def needs_refinement(self, signals):
count = 0
for signal in signals:
if len(signal) < 30:
continue
p1, median, p99 = np.percentile(signal[5:-5], (1, 50, 99))
if median - p1 > self.refinement_threshold:
count += 1
elif p99 - median > self.refinement_threshold:
count += 1
refinement_ratio = count / len(signals)
return refinement_ratio > 0.3
def norm_signal(self, signal, scaler=25):
max_val = max(np.abs(signal))
normed_signal = np.zeros(shape=len(signal))
for i, signal_i in enumerate(signal):
normed_signal[i] = signal_i / max_val
normed_signal[i] = normed_signal[i] * scaler
return normed_signal
def cache_key(self, traces, penalty, num_changepoints):
config = [
traces,
penalty,
num_changepoints,
self.algo,
self.model,
self.jump,
self.min_dist,
self.range_min,
self.range_max,
self.stretch,
]
cache_key = hashlib.sha256(
json.dumps(config, cls=NpEncoder).encode()
).hexdigest()
return cache_key
def save_cache(self, traces, penalty, num_changepoints, data):
"""
Save changepoint detection results (data) for given configuration (self, penalty, num_changepoints) and traces.
:param traces: List of traces
:param penalty: fixed penalty, may be None
:param num_changepoints: fixed number of changepoints, may be None
:param data: data returned by calculate_penalty_and_changepoints
"""
if self.cache_dir is None:
return
cache_key = self.cache_key(traces, penalty, num_changepoints)
try:
os.mkdir(self.cache_dir)
except FileExistsError:
pass
try:
os.mkdir(f"{self.cache_dir}/{cache_key[:2]}")
except FileExistsError:
pass
with open(f"{self.cache_dir}/{cache_key[:2]}/pelt-{cache_key}.json", "w") as f:
json.dump(data, f, cls=NpEncoder)
def load_cache(self, traces, penalty, num_changepoints):
"""
Return cached changepoints for given configuration (self, penalty, num_changepoints) and data (traces).
:param traces: List of traces
:param penalty: fixed penalty, may be None
:param num_changepoints: fixed number of changepoints, may be None
:returns: [changepoints for traces[0], changepoints for traces[1], ...] if cache data is present, None otherwise
"""
cache_key = self.cache_key(traces, penalty, num_changepoints)
try:
with open(
f"{self.cache_dir}/{cache_key[:2]}/pelt-{cache_key}.json", "r"
) as f:
return json.load(f)
except FileNotFoundError:
return None
except json.decoder.JSONDecodeError:
logger.warning(
f"Ignoring invalid cache entry {self.cache_dir}/{cache_key[:2]}/pelt-{cache_key}.json"
)
return None
def get_penalty_and_changepoints(self, traces, penalty=None, num_changepoints=None):
"""
Return penalties and changepoints for a list of traces (of e.g. power over time), with caching.
:param traces: single data trace or list of data traces for changepoint detection.
Either traces = [data value, data value, data value, ...]
or traces[i] = [data value, data value, data value, ...]
:param penalty: return changepoints for given penalty instead of attempting to find one
:param num_changepoints: perform Dynp instead of Pelt with num_changepoints changepoints
:returns: Either [changepoints for traces[0], changespoints for traces[1], ...] or changepoints for traces
changespoints for traces := (penalty, changepoint_dict)
changepoint_dict[penalty] := [traces[i] index of first changepoint, traces[i] index of second changepoint, ...]
"""
list_of_lists = type(traces[0]) is list or type(traces[0]) is np.ndarray
if not list_of_lists:
traces = [traces]
data = self.load_cache(traces, penalty, num_changepoints)
if data:
for res in data:
if type(res[1]) is dict:
str_keys = list(res[1].keys())
for k in str_keys:
res[1][int(k)] = res[1].pop(k)
if self.tail_state_only:
for entry in data:
for penalty in entry[1]:
entry[1][penalty] = entry[1][penalty][-1:]
if list_of_lists:
return data
return data[0]
data = self.calculate_penalty_and_changepoints(
traces, penalty, num_changepoints
)
self.save_cache(traces, penalty, num_changepoints, data)
if self.tail_state_only:
for entry in data:
for penalty in entry[1]:
entry[1][penalty] = entry[1][penalty][-1:]
if list_of_lists:
return data
return data[0]
def calculate_penalty_and_changepoints(
self, traces, penalty=None, num_changepoints=None
):
"""
Return penalties and changepoints for a list of traces (of e.g. power over time), without cache.
:param traces: list of data traces for changepoint detection. traces[i] = [data value, data value, data value, ...]
:param penalty: return changepoints for given penalty instead of attempting to find one
:param num_changepoints: perform Dynp instead of Pelt with num_changepoints changepoints
:returns: [changepoints for traces[0], changespoints for traces[1], ...]
changespoints for traces[i] := (penalty, changepoint_dict)
changepoint_dict[penalty] := [traces[i] index of first changepoint, traces[i] index of second changepoint, ...]
"""
# imported here as ruptures is only used for changepoint detection.
# This way, dfatool can be used without having ruptures installed as
# long as --pelt isn't active.
import ruptures
if self.stretch > 1:
traces = list(
map(
lambda trace: np.interp(
np.linspace(
0, len(trace) - 1, (len(trace) - 1) * self.stretch + 1
),
np.arange(len(trace)),
trace,
),
traces,
)
)
elif self.stretch < -1:
ds_factor = -self.stretch
new_traces = list()
for trace in traces:
if trace.shape[0] % ds_factor:
trace = np.array(
list(trace)
+ [
trace[-1]
for i in range(ds_factor - (trace.shape[0] % ds_factor))
]
)
new_traces.append(trace.reshape(-1, ds_factor).mean(axis=1))
traces = new_traces
algos = list()
queue = list()
changepoints_by_penalty_by_trace = list()
results = list()
for i in range(len(traces)):
if self.algo == "dynp":
# https://centre-borelli.github.io/ruptures-docs/user-guide/detection/dynp/
algo = ruptures.Dynp(
model=self.model, jump=self.jump, min_size=self.min_dist
)
else:
# https://centre-borelli.github.io/ruptures-docs/user-guide/detection/pelt/
algo = ruptures.Pelt(
model=self.model, jump=self.jump, min_size=self.min_dist
)
algo = algo.fit(self.norm_signal(traces[i]))
algos.append(algo)
for i in range(len(traces)):
changepoints_by_penalty_by_trace.append(dict())
if penalty is not None:
queue.append((i, penalty, algos[i]))
elif self.algo == "dynp" and num_changepoints is not None:
queue.append((i, None, algos[i]))
else:
for range_penalty in range(self.range_min, self.range_max):
queue.append((i, range_penalty, algos[i]))
if self.with_multiprocessing:
with Pool() as pool:
changepoints_by_trace = pool.starmap(PELT_get_changepoints, queue)
else:
changepoints_by_trace = map(lambda x: PELT_get_changepoints(*x), queue)
for i, range_penalty, changepoints in changepoints_by_trace:
if len(changepoints) and changepoints[-1] == len(traces[i]):
changepoints.pop()
if len(changepoints) and changepoints[0] == 0:
changepoints.pop(0)
if self.stretch > 1:
changepoints = list(
np.array(
np.around(np.array(changepoints) / self.stretch), dtype=np.int
)
)
elif self.stretch < -1:
ds_factor = -self.stretch
changepoints = list(
np.array(
np.around(np.array(changepoints) * ds_factor), dtype=np.int
)
)
changepoints_by_penalty_by_trace[i][range_penalty] = changepoints
for i in range(len(traces)):
changepoints_by_penalty = changepoints_by_penalty_by_trace[i]
if penalty is not None:
results.append((penalty, changepoints_by_penalty))
elif self.algo == "dynp" and num_changepoints is not None:
results.append((None, {0: changepoints_by_penalty[None]}))
else:
results.append(
(
self.find_penalty(changepoints_by_penalty),
changepoints_by_penalty,
)
)
return results
def find_penalty(self, changepoints_by_penalty):
changepoint_counts = list()
for i in range(self.range_min, self.range_max):
changepoint_counts.append(len(changepoints_by_penalty[i]))
start_index = -1
end_index = -1
longest_start = -1
longest_end = -1
prev_val = -1
for i, changepoint_count in enumerate(changepoint_counts):
if changepoint_count != prev_val:
end_index = i - 1
if end_index - start_index > longest_end - longest_start:
longest_start = start_index
longest_end = end_index
start_index = i
if i == len(changepoint_counts) - 1:
end_index = i
if end_index - start_index > longest_end - longest_start:
longest_start = start_index
longest_end = end_index
start_index = i
prev_val = changepoint_count
middle_of_plateau = longest_start + (longest_end - longest_start) // 2
return self.range_min + middle_of_plateau
def get_changepoints(self, traces, **kwargs):
results = self.get_penalty_and_changepoints(traces, **kwargs)
if type(results) is list:
return list(map(lambda res: res[1][res[0]], results))
return results[1][results[0]]
def get_penalty(self, traces, **kwargs):
results = self.get_penalty_and_changepoints(traces, **kwargs)
if type(results) is list:
return list(map(lambda res: res[0]))
return res[0]
def calc_raw_states(
self,
timestamps,
signals,
changepoints_by_signal,
num_changepoints,
opt_model=None,
):
"""
Calculate substates for signals (assumed to belong to a single parameter configuration).
:returns: (substate_counts, substate_data)
substates_counts = [number of substates in first changepoints_by_signal entry, number of substates in second entry, ...]
substate_data = [data for first sub-state, data for second sub-state, ...]
data = {"duration": [durations of corresponding sub-state in signals[i] where changepoints_by_signal[i] == num_changepoints]}
Note that len(substate_counts) >= len(substate_data). substate_counts gives the number of sub-states of each signal in signals
(substate_counts[i] == number of substates in signals[i]). substate_data only contains entries for signals which have
num_changepoints + 1 substates.
List of substates with duration and mean power: [(substate 1 duration, substate 1 power), ...]
"""
substate_data = list()
substate_counts = list()
usable_measurements = list()
expected_substate_count = num_changepoints + 1
for i, changepoints in enumerate(changepoints_by_signal):
substates = list()
start_index = 0
end_index = 0
for changepoint in changepoints:
# start_index of state is end_index of previous one
# (Transitions are instantaneous)
start_index = end_index
end_index = changepoint
substate = (start_index, end_index)
substates.append(substate)
substates.append((end_index, len(signals[i]) - 1))
substate_counts.append(len(substates))
if len(substates) == expected_substate_count:
usable_measurements.append((i, substates))
if len(usable_measurements) <= len(changepoints_by_signal) * 0.5:
logger.info(
f"Only {len(usable_measurements)} of {len(changepoints_by_signal)} measurements have {expected_substate_count} sub-states. Try lowering the jump step size"
)
else:
logger.debug(
f"{len(usable_measurements)} of {len(changepoints_by_signal)} measurements have {expected_substate_count} sub-states"
)
for i in range(expected_substate_count):
substate_data.append(
{
"duration": list(),
"power": list(),
"power_std": list(),
"signals_index": list(),
}
)
for num_measurement, substates in usable_measurements:
for i, substate in enumerate(substates):
power_trace = signals[num_measurement][substate[0] : substate[1]]
mean_power = np.mean(power_trace)
std_power = np.std(power_trace)
duration = (
timestamps[num_measurement][substate[1]]
- timestamps[num_measurement][substate[0]]
)
substate_data[i]["duration"].append(duration)
substate_data[i]["power"].append(mean_power)
substate_data[i]["power_std"].append(std_power)
substate_data[i]["signals_index"].append(num_measurement)
return substate_counts, substate_data
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