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QuanTAlib/lib/trends_IIR/frama/frama.pine
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Miha Kralj 86fe32a682 SIMD Refactor: Merge simd-dev into dev (#55)
Co-authored-by: Claude Opus 4.5 <noreply@anthropic.com>
Co-authored-by: aider (openrouter/anthropic/claude-sonnet-4) <aider@aider.chat>
Co-authored-by: Warp <agent@warp.dev>
2026-01-18 19:02:03 -08:00

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// The MIT License (MIT)
// © mihakralj
//@version=6
indicator("Ehlers Fractal Adaptive Moving Average (FRAMA)", "FRAMA", overlay=true)
// Ehlers FRAMA:
// - N1/N2/N3 computed from High/Low ranges (NOT from src).
// - Price being smoothed is HL2 ( (H+L)/2 ).
// - alpha = exp(-4.6*(D-1)), clamped to [0.01, 1].
// - Period forced to even, >= 2.
// References match the classic Traders' Tips FRAMA definition.
frama_strict(simple int period) =>
int p = math.max(2, period)
int pe = (p % 2 == 0) ? p : (p + 1)
int h = int(pe / 2)
// Price series per Ehlers FRAMA (commonly HL2)
float price = hl2
// Require enough history and non-NA ranges over the needed windows
bool ready =
bar_index >= pe - 1 and
not na(price) and
not na(ta.highest(high, pe)) and not na(ta.lowest(low, pe)) and
not na(ta.highest(high, h)) and not na(ta.lowest(low, h)) and
not na(ta.highest(high[h], h)) and not na(ta.lowest(low[h], h))
var float fr = na
if ready
// Ranges per Ehlers:
// N1: first half range / half
// N2: second half range / half (shifted by half)
// N3: full range / full
float n1 = (ta.highest(high, h) - ta.lowest(low, h)) / h
float n2 = (ta.highest(high[h], h) - ta.lowest(low[h], h)) / h
float n3 = (ta.highest(high, pe) - ta.lowest(low, pe)) / pe
float alpha = 1.0
if n1 > 0 and n2 > 0 and n3 > 0
float dimen = (math.log(n1 + n2) - math.log(n3)) / math.log(2.0)
alpha := math.exp(-4.6 * (dimen - 1.0))
alpha := math.max(0.01, math.min(1.0, alpha))
// Warm-start: first computed value seeds to price
float prev = nz(fr[1], price)
fr := alpha * price + (1.0 - alpha) * prev
else
fr := na
fr
// -------- Main --------
i_period = input.int(16, "Period (even enforced)", minval=2)
frama_value = frama_strict(i_period)
plot(frama_value, "FRAMA (strict)", color=color.yellow, linewidth=2)