扩展指标
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"""
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Statistic Functions — Standard statistical math applied to rolling windows of price data.
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Functions
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---------
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STDDEV — Standard Deviation
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VAR — Variance
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LINEARREG — Linear Regression
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LINEARREG_SLOPE — Linear Regression Slope
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LINEARREG_INTERCEPT — Linear Regression Intercept
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LINEARREG_ANGLE — Linear Regression Angle (degrees)
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TSF — Time Series Forecast
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BETA — Beta
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CORREL — Pearson's Correlation Coefficient (r)
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DTW — Dynamic Time Warping (distance + warping path)
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DTW_DISTANCE — Dynamic Time Warping distance only (faster)
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BATCH_DTW — Batch DTW: N series vs 1 reference, in parallel
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"""
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from __future__ import annotations
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from typing import Optional
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import numpy as np
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from numpy.typing import ArrayLike
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from ferro_ta._ferro_ta import (
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batch_dtw as _batch_dtw,
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)
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from ferro_ta._ferro_ta import (
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beta as _beta,
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)
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from ferro_ta._ferro_ta import (
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correl as _correl,
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)
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from ferro_ta._ferro_ta import (
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dtw as _dtw,
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)
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from ferro_ta._ferro_ta import (
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dtw_distance as _dtw_distance,
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)
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from ferro_ta._ferro_ta import (
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linearreg as _linearreg,
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)
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from ferro_ta._ferro_ta import (
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linearreg_angle as _linearreg_angle,
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)
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from ferro_ta._ferro_ta import (
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linearreg_intercept as _linearreg_intercept,
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)
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from ferro_ta._ferro_ta import (
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linearreg_slope as _linearreg_slope,
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)
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from ferro_ta._ferro_ta import (
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stddev as _stddev,
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)
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from ferro_ta._ferro_ta import (
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tsf as _tsf,
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)
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from ferro_ta._ferro_ta import (
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var as _var,
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)
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from ferro_ta._utils import _to_f64
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from ferro_ta.core.exceptions import _normalize_rust_error
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def STDDEV(close: ArrayLike, timeperiod: int = 5, nbdev: float = 1.0) -> np.ndarray:
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"""Standard Deviation.
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Parameters
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----------
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close : array-like
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Sequence of closing prices.
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timeperiod : int, optional
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Rolling window size (default 5).
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nbdev : float, optional
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Number of standard deviations (default 1.0).
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Returns
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-------
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numpy.ndarray
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Array of STDDEV values; leading ``timeperiod - 1`` entries are ``NaN``.
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"""
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try:
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return _stddev(_to_f64(close), timeperiod, nbdev)
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except ValueError as e:
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_normalize_rust_error(e)
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def VAR(close: ArrayLike, timeperiod: int = 5, nbdev: float = 1.0) -> np.ndarray:
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"""Variance.
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Parameters
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----------
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close : array-like
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Sequence of closing prices.
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timeperiod : int, optional
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Rolling window size (default 5).
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nbdev : float, optional
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Number of deviations (default 1.0).
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Returns
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-------
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numpy.ndarray
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Array of VAR values; leading ``timeperiod - 1`` entries are ``NaN``.
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"""
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try:
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return _var(_to_f64(close), timeperiod, nbdev)
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except ValueError as e:
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_normalize_rust_error(e)
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def LINEARREG(close: ArrayLike, timeperiod: int = 14) -> np.ndarray:
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"""Linear Regression.
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Parameters
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----------
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close : array-like
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Sequence of closing prices.
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timeperiod : int, optional
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Regression window (default 14).
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Returns
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-------
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numpy.ndarray
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Array of linear regression end-point values; leading ``timeperiod - 1`` entries are ``NaN``.
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"""
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try:
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return _linearreg(_to_f64(close), timeperiod)
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except ValueError as e:
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_normalize_rust_error(e)
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def LINEARREG_SLOPE(close: ArrayLike, timeperiod: int = 14) -> np.ndarray:
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"""Linear Regression Slope.
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Parameters
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----------
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close : array-like
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Sequence of closing prices.
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timeperiod : int, optional
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Regression window (default 14).
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Returns
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-------
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numpy.ndarray
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Array of slope values; leading ``timeperiod - 1`` entries are ``NaN``.
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"""
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try:
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return _linearreg_slope(_to_f64(close), timeperiod)
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except ValueError as e:
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_normalize_rust_error(e)
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def LINEARREG_INTERCEPT(close: ArrayLike, timeperiod: int = 14) -> np.ndarray:
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"""Linear Regression Intercept.
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Parameters
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----------
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close : array-like
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Sequence of closing prices.
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timeperiod : int, optional
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Regression window (default 14).
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Returns
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-------
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numpy.ndarray
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Array of intercept values; leading ``timeperiod - 1`` entries are ``NaN``.
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"""
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try:
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return _linearreg_intercept(_to_f64(close), timeperiod)
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except ValueError as e:
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_normalize_rust_error(e)
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def LINEARREG_ANGLE(close: ArrayLike, timeperiod: int = 14) -> np.ndarray:
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"""Linear Regression Angle (in degrees).
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Parameters
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----------
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close : array-like
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Sequence of closing prices.
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timeperiod : int, optional
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Regression window (default 14).
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Returns
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-------
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numpy.ndarray
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Array of angle values in degrees; leading ``timeperiod - 1`` entries are ``NaN``.
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"""
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try:
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return _linearreg_angle(_to_f64(close), timeperiod)
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except ValueError as e:
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_normalize_rust_error(e)
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def TSF(close: ArrayLike, timeperiod: int = 14) -> np.ndarray:
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"""Time Series Forecast — linear regression extrapolated one period ahead.
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Parameters
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----------
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close : array-like
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Sequence of closing prices.
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timeperiod : int, optional
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Regression window (default 14).
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Returns
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-------
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numpy.ndarray
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Array of TSF values; leading ``timeperiod - 1`` entries are ``NaN``.
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"""
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try:
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return _tsf(_to_f64(close), timeperiod)
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except ValueError as e:
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_normalize_rust_error(e)
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def BETA(real0: ArrayLike, real1: ArrayLike, timeperiod: int = 5) -> np.ndarray:
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"""Beta — regression slope of real0 relative to real1.
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Parameters
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----------
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real0 : array-like
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Sequence of prices for asset 0 (dependent variable).
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real1 : array-like
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Sequence of prices for asset 1 (independent variable).
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timeperiod : int, optional
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Rolling window (default 5).
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Returns
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-------
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numpy.ndarray
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Array of BETA values; leading ``timeperiod`` entries are ``NaN``.
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"""
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try:
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return _beta(_to_f64(real0), _to_f64(real1), timeperiod)
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except ValueError as e:
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_normalize_rust_error(e)
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def CORREL(real0: ArrayLike, real1: ArrayLike, timeperiod: int = 30) -> np.ndarray:
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"""Pearson's Correlation Coefficient (r).
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Parameters
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----------
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real0 : array-like
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First data series.
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real1 : array-like
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Second data series.
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timeperiod : int, optional
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Rolling window (default 30).
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Returns
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-------
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numpy.ndarray
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Array of CORREL values (-1 to 1); leading ``timeperiod - 1`` entries are ``NaN``.
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"""
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try:
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return _correl(_to_f64(real0), _to_f64(real1), timeperiod)
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except ValueError as e:
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_normalize_rust_error(e)
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def DTW(
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series1: ArrayLike,
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series2: ArrayLike,
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window: Optional[int] = None,
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) -> tuple[float, np.ndarray]:
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"""Dynamic Time Warping — distance and optimal warping path.
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Parameters
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----------
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series1 : array-like
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First time series.
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series2 : array-like
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Second time series (may differ in length from series1).
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window : int, optional
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Sakoe-Chiba band width. ``None`` (default) = unconstrained.
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Returns
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-------
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distance : float
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DTW distance (accumulated Euclidean cost along the optimal path).
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path : numpy.ndarray, shape (N, 2)
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Warping path as ``(i, j)`` index pairs from ``(0, 0)`` to
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``(len(series1)-1, len(series2)-1)``.
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"""
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try:
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return _dtw(_to_f64(series1), _to_f64(series2), window)
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except ValueError as e:
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_normalize_rust_error(e)
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def DTW_DISTANCE(
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series1: ArrayLike,
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series2: ArrayLike,
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window: Optional[int] = None,
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) -> float:
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"""Dynamic Time Warping distance only (faster — no path reconstruction).
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Parameters
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----------
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series1 : array-like
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First time series.
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series2 : array-like
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Second time series (may differ in length from series1).
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window : int, optional
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Sakoe-Chiba band width. ``None`` (default) = unconstrained.
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Returns
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-------
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float
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DTW distance (accumulated Euclidean cost along the optimal path).
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"""
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try:
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return _dtw_distance(_to_f64(series1), _to_f64(series2), window)
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except ValueError as e:
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_normalize_rust_error(e)
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def BATCH_DTW(
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matrix: ArrayLike,
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reference: ArrayLike,
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window: Optional[int] = None,
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) -> np.ndarray:
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"""Batch Dynamic Time Warping — N series vs 1 reference, computed in parallel.
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Parameters
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----------
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matrix : array-like, shape (N, L)
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N time series of length L. Each row is compared against ``reference``.
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reference : array-like, shape (L,)
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The reference series.
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window : int, optional
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Sakoe-Chiba band width. ``None`` (default) = unconstrained.
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Returns
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-------
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numpy.ndarray, shape (N,)
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DTW distance from each row of ``matrix`` to ``reference``.
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"""
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try:
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mat = np.ascontiguousarray(matrix, dtype=np.float64)
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if mat.ndim != 2:
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from ferro_ta.core.exceptions import FerroTAInputError
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raise FerroTAInputError(
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f"matrix must be a 2-D array, got {mat.ndim}-D.",
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suggestion="Pass a 2-D NumPy array of shape (N, L).",
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)
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return _batch_dtw(mat, _to_f64(reference), window)
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except ValueError as e:
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_normalize_rust_error(e)
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__all__ = [
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"STDDEV",
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"VAR",
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"LINEARREG",
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"LINEARREG_SLOPE",
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"LINEARREG_INTERCEPT",
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"LINEARREG_ANGLE",
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"TSF",
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"BETA",
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"CORREL",
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"DTW",
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"DTW_DISTANCE",
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"BATCH_DTW",
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]
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