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QuanTAlib/lib/dynamics/ht_trendmode/ht_trendmode.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("HT_TRENDMODE: Hilbert Transform Trend Mode", "HT_TRENDMODE", overlay=false)
//@function Numerically stable atan2 implementation for quadrant-aware angle calculation
//@param y Y-coordinate (imaginary/quadrature component)
//@param x X-coordinate (real/in-phase component)
//@returns Angle in radians from -π to π
atan2(series float y, series float x) =>
if y == 0.0 and x == 0.0
runtime.error("atan2: Both y and x cannot be zero")
ay = math.abs(y)
ax = math.abs(x)
angle = 0.0
if ax > ay
angle := math.atan(ay / ax)
else
angle := (math.pi / 2.0) - math.atan(ax / ay)
if x < 0.0
angle := math.pi - angle
if y < 0.0
angle := -angle
angle
//@function Determines if market is in trend mode (1) or cycle mode (0)
//@doc https://github.com/mihakralj/pinescript/blob/main/indicators/dynamics/ht_trendmode.md
//@param source Series to analyze for trend/cycle state
//@returns 1 for trend mode, 0 for cycle mode
ht_trendmode(series float source) =>
var float smooth_price = 0.0
var float detrender = 0.0
var float i1 = 0.0
var float q1 = 0.0
var float ji = 0.0
var float jq = 0.0
var float i2 = 0.0
var float q2 = 0.0
var float re = 0.0
var float im = 0.0
var float period = 15.0
var float smooth_period = 15.0
var float dc_phase = 0.0
var float inst_period = 15.0
var int trend_mode = 0
float price = nz(source)
float bandwidth = 0.075 * smooth_period + 0.54
smooth_price := (4.0 * price + 3.0 * nz(price[1]) + 2.0 * nz(price[2]) + nz(price[3])) / 10.0
detrender := (0.0962 * smooth_price + 0.5769 * nz(smooth_price[2]) - 0.5769 * nz(smooth_price[4]) - 0.0962 * nz(smooth_price[6])) * bandwidth
q1 := (0.0962 * detrender + 0.5769 * nz(detrender[2]) - 0.5769 * nz(detrender[4]) - 0.0962 * nz(detrender[6])) * bandwidth
i1 := nz(detrender[3])
ji := (0.0962 * i1 + 0.5769 * nz(i1[2]) - 0.5769 * nz(i1[4]) - 0.0962 * nz(i1[6])) * bandwidth
jq := (0.0962 * q1 + 0.5769 * nz(q1[2]) - 0.5769 * nz(q1[4]) - 0.0962 * nz(q1[6])) * bandwidth
i2 := i1 - jq
q2 := q1 + ji
i2 := 0.2 * i2 + 0.8 * nz(i2[1])
q2 := 0.2 * q2 + 0.8 * nz(q2[1])
re := i2 * nz(i2[1]) + q2 * nz(q2[1])
im := i2 * nz(q2[1]) - q2 * nz(i2[1])
re := 0.2 * re + 0.8 * nz(re[1])
im := 0.2 * im + 0.8 * nz(im[1])
if im != 0.0 or re != 0.0
float angle = atan2(im, re)
if angle != 0.0
period := 2.0 * math.pi / angle
period := math.max(6.0, math.min(50.0, period))
smooth_period := 0.33 * period + 0.67 * smooth_period
if im != 0.0 or re != 0.0
dc_phase := atan2(im, re)
float delta_phase = dc_phase - nz(dc_phase[1])
if math.abs(delta_phase) < 0.1
delta_phase := nz(delta_phase[1])
if delta_phase != 0.0
float temp_period = 2.0 * math.pi / delta_phase
inst_period := 0.33 * temp_period + 0.67 * nz(inst_period[1])
trend_mode := inst_period > (1.5 * smooth_period) ? 1 : 0
trend_mode
// ---------- Main loop ----------
// Inputs
i_source = input.source(hlc3, "Source")
// Calculation
trendmode = ht_trendmode(i_source)
// Plot
plot(trendmode, "Trend Mode", color=trendmode == 1 ? color.green : color.red, linewidth=3, style=plot.style_stepline)