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QuanTAlib/lib/cycles/ssfdsp/ssfdsp.pine
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// Licensed under the Apache License, Version 2.0
// © mihakralj
//@version=6
indicator("Ehlers SSF Detrended Synthetic Price (SSFDSP)", "SSF-DSP", overlay=false)
//@function Calculates SSF-based Detrended Synthetic Price using dual Super Smooth Filters
//@param source Series to detrend
//@param period Dominant cycle period for quarter/half-cycle SSF calculation
//@returns Detrended synthetic price (difference between quarter-cycle and half-cycle SSFs)
ssfdsp(series float source, simple int period) =>
if period <= 0
runtime.error("Period must be greater than 0")
int fast_period = math.max(2, int(math.round(period / 4.0)))
int slow_period = math.max(3, int(math.round(period / 2.0)))
float SQRT2_PI = math.sqrt(2.0) * math.pi
float arg_fast = SQRT2_PI / float(fast_period)
float exp_fast = math.exp(-arg_fast)
float c2_fast = 2.0 * exp_fast * math.cos(arg_fast)
float c3_fast = -exp_fast * exp_fast
float c1_fast = 1.0 - c2_fast - c3_fast
float arg_slow = SQRT2_PI / float(slow_period)
float exp_slow = math.exp(-arg_slow)
float c2_slow = 2.0 * exp_slow * math.cos(arg_slow)
float c3_slow = -exp_slow * exp_slow
float c1_slow = 1.0 - c2_slow - c3_slow
var float ssf_fast_1 = 0.0
var float ssf_fast_2 = 0.0
var int prev_fast_period = 0
var float ssf_slow_1 = 0.0
var float ssf_slow_2 = 0.0
var int prev_slow_period = 0
float current = nz(source)
float src_1 = nz(source[1], current)
float input = (current + src_1) * 0.5
if prev_fast_period != fast_period
ssf_fast_1 := input
ssf_fast_2 := input
prev_fast_period := fast_period
if prev_slow_period != slow_period
ssf_slow_1 := input
ssf_slow_2 := input
prev_slow_period := slow_period
float ssf_fast = c1_fast * input + c2_fast * ssf_fast_1 + c3_fast * ssf_fast_2
ssf_fast_2 := ssf_fast_1
ssf_fast_1 := ssf_fast
float ssf_slow = c1_slow * input + c2_slow * ssf_slow_1 + c3_slow * ssf_slow_2
ssf_slow_2 := ssf_slow_1
ssf_slow_1 := ssf_slow
ssf_fast - ssf_slow
// ---------- Main loop ----------
// Inputs
i_source = input.source(hlc3, "Source")
i_period = input.int(40, "Dominant Cycle Period", minval=4, maxval=200,
tooltip="Dominant cycle period. Quarter-cycle and half-cycle SSFs calculated from this value.")
// Calculation
ssfdsp_val = ssfdsp(i_source, i_period)
// Plot
plot(ssfdsp_val, "SSF-DSP", color=color.yellow, linewidth=2)
hline(0, "Zero Line", color=color.gray, linestyle=hline.style_solid)