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Miha Kralj 35a6702b06 fix(docs): correct .md documentation across errors, dynamics, filters, forecasts, momentum, numerics, oscillators, reversals, statistics, trends, volatility, volume
Deep review of all indicator categories verified .md headers against .cs WarmupPeriod, parameters, inputs, and outputs. Fixes include warmup corrections, parameter documentation, output type accuracy, and Pine Script alignment.
2026-03-10 18:38:23 -07:00

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// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Parabolic SAR Extended (SAREXT)", "SAREXT", overlay=true)
//@function Parabolic SAR Extended — asymmetric PSAR with separate long/short AF parameters,
// auto-detect or forced initial direction, and an offset applied on reversal.
// Output is sign-encoded: positive SAR = long mode, negative SAR = short mode.
//@param start_value Initial direction: >0 force long, <0 force short, 0 auto-detect from DM
//@param offset_on_reverse Gap added to SAR on reversal (default 0)
//@param af_init_long Initial AF for long positions (default 0.02)
//@param af_long AF increment per new EP in long (default 0.02)
//@param af_max_long Maximum AF for long (default 0.20)
//@param af_init_short Initial AF for short positions (default 0.02)
//@param af_short AF increment per new EP in short (default 0.02)
//@param af_max_short Maximum AF for short (default 0.20)
//@returns Sign-encoded SAR value (positive = long, negative = short)
//@reference J. Welles Wilder Jr., "New Concepts in Technical Trading Systems" (1978)
//@optimized O(1) per bar, state-machine with asymmetric acceleration factors
sarext(simple float start_value = 0.0, simple float offset_on_reverse = 0.0,
simple float af_init_long = 0.02, simple float af_long = 0.02, simple float af_max_long = 0.20,
simple float af_init_short = 0.02, simple float af_short = 0.02, simple float af_max_short = 0.20) =>
if af_init_long <= 0 or af_long <= 0 or af_max_long <= af_init_long
runtime.error("Long AF parameters invalid")
if af_init_short <= 0 or af_short <= 0 or af_max_short <= af_init_short
runtime.error("Short AF parameters invalid")
if offset_on_reverse < 0
runtime.error("Offset must be >= 0")
var bool is_long = true
var float sar = low
var float ep = high
var float af = af_init_long
if bar_index == 0
// Bar 0: collect first bar data
is_long := true
sar := high
ep := low
af := af_init_short
float(na)
else if bar_index == 1
// Bar 1: determine initial direction
if start_value > 0
is_long := true
sar := math.min(low[1], low)
ep := math.max(high[1], high)
af := af_init_long
else if start_value < 0
is_long := false
sar := math.max(high[1], high)
ep := math.min(low[1], low)
af := af_init_short
else
// Auto-detect from DM
float plus_dm = high - high[1]
float minus_dm = low[1] - low
if plus_dm > minus_dm and plus_dm > 0
is_long := true
sar := math.min(low[1], low)
ep := math.max(high[1], high)
af := af_init_long
else
is_long := false
sar := math.max(high[1], high)
ep := math.min(low[1], low)
af := af_init_short
is_long ? sar : -sar
else
// Bar 2+: standard SAR state machine with asymmetric AF
float new_sar = sar + af * (ep - sar)
if is_long
new_sar := math.min(new_sar, low[1])
if bar_index > 1
new_sar := math.min(new_sar, low[2])
if low <= new_sar
// Reverse to short
is_long := false
new_sar := ep + offset_on_reverse
ep := low
af := af_init_short
else
if high > ep
ep := high
af := math.min(af + af_long, af_max_long)
else
new_sar := math.max(new_sar, high[1])
if bar_index > 1
new_sar := math.max(new_sar, high[2])
if high >= new_sar
// Reverse to long
is_long := true
new_sar := ep - offset_on_reverse
ep := high
af := af_init_long
else
if low < ep
ep := low
af := math.min(af + af_short, af_max_short)
sar := new_sar
is_long ? sar : -sar
// ── Inputs ──
float i_start = input.float(0.0, "Start Value (0=auto)")
float i_offset = input.float(0.0, "Offset on Reverse", minval=0)
float i_af_init_long = input.float(0.02, "AF Init Long", minval=0.001, step=0.001)
float i_af_long = input.float(0.02, "AF Long", minval=0.001, step=0.001)
float i_af_max_long = input.float(0.20, "AF Max Long", minval=0.01, step=0.01)
float i_af_init_short = input.float(0.02, "AF Init Short", minval=0.001, step=0.001)
float i_af_short = input.float(0.02, "AF Short", minval=0.001, step=0.001)
float i_af_max_short = input.float(0.20, "AF Max Short", minval=0.01, step=0.01)
// ── Calculation ──
float result = sarext(i_start, i_offset, i_af_init_long, i_af_long, i_af_max_long,
i_af_init_short, i_af_short, i_af_max_short)
float sar_val = math.abs(nz(result))
bool is_long = nz(result) > 0
float sar_above = not is_long ? sar_val : na
float sar_below = is_long ? sar_val : na
// ── Plot ──
plot(sar_above, "SAREXT Above", color=color.red, style=plot.style_linebr, linewidth=2)
plot(sar_below, "SAREXT Below", color=color.green, style=plot.style_linebr, linewidth=2)