# forge.ta.frama

```python
forge.ta.frama(high: ArrayLike, low: ArrayLike, close: ArrayLike, period: int = 14) -> np.ndarray
```

Fractal adaptive average of the close (Ehlers).

``period`` is half the window: the fractal dimension compares the high-low range of the last
``period`` bars and of the ``period`` bars before them with the range of all ``2 * period``.
NaN for the first ``2 * period - 1`` bars. A missing value leaves the bars whose window touches
it empty; the average then starts again from the previous raw close.

Since Forge API 1.

## Class forge.ta.FRAMA

```python
forge.ta.FRAMA(**inputs: Any) -> None
```

Average that follows trends closely and flattens in chop, from the fractal dimension.

N1 = (highest high - lowest low over the last period bars) / period

N2 = the same over the period bars before those, N3 = the same over all 2 * period bars divided by 2 * period

D = (ln(N1 + N2) - ln(N3)) / ln(2), alpha = exp(-4.6 * (D - 1))

FRAMA[i] = alpha * close[i] + (1 - alpha) * FRAMA[i-1]

The first 2 * period - 1 values are left empty.

Since Forge API 1.