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QuanTAlib/lib/numerics/jerk/jerk.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("Acceleration, Slope of Slope (JERK)", "JERK", overlay=false, precision=8)
//@function Calculates jerk (slope of slope of slope)
//@param src Source series to calculate slope from
//@param len Lookback period for calculation
//@returns jerk
jerk(series float src, simple int len1) =>
if len1 <= 1
runtime.error("Length 1 for first slope calculation must be greater than 1")
var float sumX1 = 0.0, var float sumY1 = 0.0, var float sumXY1 = 0.0, var float sumX21 = 0.0
var int validCount1 = 0
var array<float> x_values1 = array.new_float(len1)
var array<float> y_values1 = array.new_float(len1)
var int head1 = 0
var int internal_time_counter1 = 0
if internal_time_counter1 >= len1
float oldX1 = array.get(x_values1, head1)
float oldY1 = array.get(y_values1, head1)
if not na(oldY1)
sumX1 := sumX1 - oldX1, sumY1 := sumY1 - oldY1
sumXY1 := sumXY1 - oldX1 * oldY1, sumX21 := sumX21 - oldX1 * oldX1
validCount1 := validCount1 - 1
float currentX1 = internal_time_counter1
float currentY1 = src
array.set(x_values1, head1, currentX1)
array.set(y_values1, head1, currentY1)
if not na(currentY1)
sumX1 := sumX1 + currentX1, sumY1 := sumY1 + currentY1
sumXY1 := sumXY1 + currentX1 * currentY1, sumX21 := sumX21 + currentX1 * currentX1
validCount1 := validCount1 + 1
head1 := (head1 + 1) % len1
internal_time_counter1 := internal_time_counter1 + 1
float current_slope1 = na
if validCount1 >= 2
float n1 = validCount1
float divisor1 = n1 * sumX21 - sumX1 * sumX1
if divisor1 != 0.0
current_slope1 := (n1 * sumXY1 - sumX1 * sumY1) / divisor1
var float sumX2 = 0.0, var float sumY2 = 0.0, var float sumXY2 = 0.0, var float sumX22 = 0.0
var int validCount2 = 0
var array<float> x_values2 = array.new_float(len1)
var array<float> y_values2 = array.new_float(len1)
var int head2 = 0
var int internal_time_counter2 = 0
if internal_time_counter2 >= len1
float oldX2 = array.get(x_values2, head2)
float oldY2 = array.get(y_values2, head2)
if not na(oldY2)
sumX2 := sumX2 - oldX2, sumY2 := sumY2 - oldY2
sumXY2 := sumXY2 - oldX2 * oldY2, sumX22 := sumX22 - oldX2 * oldX2
validCount2 := validCount2 - 1
float currentX2 = internal_time_counter2
float currentY2 = current_slope1
array.set(x_values2, head2, currentX2)
array.set(y_values2, head2, currentY2)
if not na(currentY2)
sumX2 := sumX2 + currentX2, sumY2 := sumY2 + currentY2
sumXY2 := sumXY2 + currentX2 * currentY2, sumX22 := sumX22 + currentX2 * currentX2
validCount2 := validCount2 + 1
head2 := (head2 + 1) % len1
internal_time_counter2 := internal_time_counter2 + 1
float current_accel = na
if validCount2 >= 2
float n2 = validCount2
float divisor2 = n2 * sumX22 - sumX2 * sumX2
if divisor2 != 0.0
current_accel := (n2 * sumXY2 - sumX2 * sumY2) / divisor2
var float sumX3 = 0.0, var float sumY3 = 0.0, var float sumXY3 = 0.0, var float sumX23 = 0.0
var int validCount3 = 0
var array<float> x_values3 = array.new_float(len1)
var array<float> y_values3 = array.new_float(len1)
var int head3 = 0
var int internal_time_counter3 = 0
if internal_time_counter3 >= len1
float oldX3 = array.get(x_values3, head3)
float oldY3 = array.get(y_values3, head3)
if not na(oldY3)
sumX3 := sumX3 - oldX3, sumY3 := sumY3 - oldY3
sumXY3 := sumXY3 - oldX3 * oldY3, sumX23 := sumX23 - oldX3 * oldX3
validCount3 := validCount3 - 1
float currentX3 = internal_time_counter3
float currentY3 = current_accel
array.set(x_values3, head3, currentX3)
array.set(y_values3, head3, currentY3)
if not na(currentY3)
sumX3 := sumX3 + currentX3, sumY3 := sumY3 + currentY3
sumXY3 := sumXY3 + currentX3 * currentY3, sumX23 := sumX23 + currentX3 * currentX3
validCount3 := validCount3 + 1
head3 := (head3 + 1) % len1
internal_time_counter3 := internal_time_counter3 + 1
float calculatedjerk = na
if validCount3 >= 2
float n3 = validCount3
float divisor3 = n3 * sumX23 - sumX3 * sumX3
if divisor3 != 0.0
calculatedjerk := (n3 * sumXY3 - sumX3 * sumY3) / divisor3
calculatedjerk
// ---------- Main loop ----------
// Inputs
i_period = input.int(14, "Period", minval=2)
i_source = input.source(close, "Source")
// Calculation
a = jerk(i_source, i_period)
// Plot
plot(a, "jerk", color=color.yellow, linewidth=2)