Fix rsi history off-by-one due to `np.diff()`
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dd9f6e8a7c
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c9136e0494
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@ -16,6 +16,7 @@
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"""
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"""
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Momentum bby.
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Momentum bby.
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"""
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"""
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from typing import AsyncIterator, Optional
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from typing import AsyncIterator, Optional
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@ -23,12 +24,9 @@ import numpy as np
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from numba import jit, float64, optional, int64
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from numba import jit, float64, optional, int64
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from ..data._normalize import iterticks
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from ..data._normalize import iterticks
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from ..data._sharedmem import ShmArray
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# TODO: things to figure the fuck out:
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# - how to handle non-plottable values
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# - composition of fsps / implicit chaining
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@jit(
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@jit(
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float64[:](
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float64[:](
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float64[:],
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float64[:],
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@ -39,11 +37,14 @@ from ..data._normalize import iterticks
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nogil=True
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nogil=True
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)
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)
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def ema(
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def ema(
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y: 'np.ndarray[float64]',
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y: 'np.ndarray[float64]',
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alpha: optional(float64) = None,
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alpha: optional(float64) = None,
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ylast: optional(float64) = None,
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ylast: optional(float64) = None,
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) -> 'np.ndarray[float64]':
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) -> 'np.ndarray[float64]':
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r"""Exponential weighted moving average owka 'Exponential smoothing'.
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r'''
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Exponential weighted moving average owka 'Exponential smoothing'.
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- https://en.wikipedia.org/wiki/Moving_average#Exponential_moving_average
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- https://en.wikipedia.org/wiki/Moving_average#Exponential_moving_average
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- https://en.wikipedia.org/wiki/Exponential_smoothing
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- https://en.wikipedia.org/wiki/Exponential_smoothing
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@ -68,7 +69,8 @@ def ema(
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More discussion here:
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More discussion here:
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https://stackoverflow.com/questions/42869495/numpy-version-of-exponential-weighted-moving-average-equivalent-to-pandas-ewm
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https://stackoverflow.com/questions/42869495/numpy-version-of-exponential-weighted-moving-average-equivalent-to-pandas-ewm
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"""
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'''
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n = y.shape[0]
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n = y.shape[0]
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if alpha is None:
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if alpha is None:
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@ -105,14 +107,21 @@ def ema(
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# nogil=True
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# nogil=True
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# )
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# )
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def rsi(
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def rsi(
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# TODO: use https://github.com/ramonhagenaars/nptyping
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signal: 'np.ndarray[float64]',
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signal: 'np.ndarray[float64]',
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period: int64 = 14,
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period: int64 = 14,
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up_ema_last: float64 = None,
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up_ema_last: float64 = None,
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down_ema_last: float64 = None,
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down_ema_last: float64 = None,
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) -> 'np.ndarray[float64]':
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) -> 'np.ndarray[float64]':
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'''
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relative strengggth.
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'''
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alpha = 1/period
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alpha = 1/period
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df = np.diff(signal)
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df = np.diff(signal, prepend=0)
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up = np.where(df > 0, df, 0)
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up = np.where(df > 0, df, 0)
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up_ema = ema(up, alpha, up_ema_last)
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up_ema = ema(up, alpha, up_ema_last)
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@ -120,11 +129,12 @@ def rsi(
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down = np.where(df < 0, -df, 0)
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down = np.where(df < 0, -df, 0)
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down_ema = ema(down, alpha, down_ema_last)
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down_ema = ema(down, alpha, down_ema_last)
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# avoid dbz errors
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# avoid dbz errors, this leaves the first
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# index == 0 right?
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rs = np.divide(
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rs = np.divide(
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up_ema,
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up_ema,
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down_ema,
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down_ema,
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out=np.zeros_like(up_ema),
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out=np.zeros_like(signal),
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where=down_ema != 0
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where=down_ema != 0
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)
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)
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@ -137,10 +147,18 @@ def rsi(
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def wma(
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def wma(
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signal: np.ndarray,
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signal: np.ndarray,
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length: int,
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length: int,
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weights: Optional[np.ndarray] = None,
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weights: Optional[np.ndarray] = None,
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) -> np.ndarray:
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) -> np.ndarray:
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'''
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Compute a windowed moving average of ``signal`` with window
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``length`` and optional ``weights`` (must be same size as
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``signal``).
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'''
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if weights is None:
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if weights is None:
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# default is a standard arithmetic mean
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# default is a standard arithmetic mean
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seq = np.full((length,), 1)
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seq = np.full((length,), 1)
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@ -151,18 +169,22 @@ def wma(
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return np.convolve(signal, weights, 'valid')
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return np.convolve(signal, weights, 'valid')
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# @piker.fsp.signal(
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# @piker.fsp.emit(
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# timeframes=['1s', '5s', '15s', '1m', '5m', '1H'],
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# timeframes=['1s', '5s', '15s', '1m', '5m', '1H'],
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# )
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# )
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async def _rsi(
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async def _rsi(
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source: 'QuoteStream[Dict[str, Any]]', # noqa
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source: 'QuoteStream[Dict[str, Any]]', # noqa
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ohlcv: "ShmArray[T<'close'>]",
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ohlcv: ShmArray,
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period: int = 14,
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period: int = 14,
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) -> AsyncIterator[np.ndarray]:
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) -> AsyncIterator[np.ndarray]:
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"""Multi-timeframe streaming RSI.
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'''
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Multi-timeframe streaming RSI.
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https://en.wikipedia.org/wiki/Relative_strength_index
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https://en.wikipedia.org/wiki/Relative_strength_index
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"""
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'''
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sig = ohlcv.array['close']
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sig = ohlcv.array['close']
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# wilder says to seed the RSI EMAs with the SMA for the "period"
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# wilder says to seed the RSI EMAs with the SMA for the "period"
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@ -170,7 +192,8 @@ async def _rsi(
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# TODO: the emas here should be seeded with a period SMA as per
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# TODO: the emas here should be seeded with a period SMA as per
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# wilder's original formula..
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# wilder's original formula..
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rsi_h, last_up_ema_close, last_down_ema_close = rsi(sig, period, seed, seed)
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rsi_h, last_up_ema_close, last_down_ema_close = rsi(
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sig, period, seed, seed)
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up_ema_last = last_up_ema_close
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up_ema_last = last_up_ema_close
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down_ema_last = last_down_ema_close
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down_ema_last = last_down_ema_close
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@ -178,7 +201,6 @@ async def _rsi(
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yield rsi_h
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yield rsi_h
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index = ohlcv.index
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index = ohlcv.index
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async for quote in source:
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async for quote in source:
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# tick based updates
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# tick based updates
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for tick in iterticks(quote):
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for tick in iterticks(quote):
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@ -206,16 +228,20 @@ async def _rsi(
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async def _wma(
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async def _wma(
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source, #: AsyncStream[np.ndarray],
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source, #: AsyncStream[np.ndarray],
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length: int,
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length: int,
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ohlcv: np.ndarray, # price time-frame "aware"
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ohlcv: np.ndarray, # price time-frame "aware"
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) -> AsyncIterator[np.ndarray]: # maybe something like like FspStream?
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) -> AsyncIterator[np.ndarray]: # maybe something like like FspStream?
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"""Streaming weighted moving average.
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'''
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Streaming weighted moving average.
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``weights`` is a sequence of already scaled values. As an example
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``weights`` is a sequence of already scaled values. As an example
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for the WMA often found in "techincal analysis":
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for the WMA often found in "techincal analysis":
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``weights = np.arange(1, N) * N*(N-1)/2``.
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``weights = np.arange(1, N) * N*(N-1)/2``.
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"""
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'''
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# deliver historical output as "first yield"
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# deliver historical output as "first yield"
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yield wma(ohlcv.array['close'], length)
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yield wma(ohlcv.array['close'], length)
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