JMASlope_v1
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This script is designed to calculate and visualize the momentum of a specific price moving average known as the Jurik Moving Average (JMA). Rather than just showing where the price is currently sitting, this tool focuses on the "slope"—the speed and direction of the movement—to help traders identify trends more clearly.
Core Logic Overview
The indicator functions by analyzing the underlying price data to determine how quickly the JMA is rising or falling. It does this through a multi-layered mathematical process:
1. Data Smoothing and Filtering The script begins by processing raw price data (specifically closing prices) through a series of internal cycles. It uses a specialized logic to reduce "noise"—those small, jagged price fluctuations that can often lead to false signals in traditional indicators. By filtering this noise, the tool identifies the true underlying direction of the market.
2. Adaptive Momentum Calculation Unlike standard moving averages that treat all past data with equal weight, this script uses a sophisticated calculation to adjust how it reacts to new information. It balances current price action against historical trends using dynamic parameters:
- Length: Determines the look-back window for the average.
- Phase: Adjusts the "responsiveness" of the indicator, allowing users to choose between a faster reaction to new price moves or a smoother, more delayed trend line.
3. Slope Extraction Once the JMA value is calculated, the script performs a final comparison between the current calculated value and the value from the previous period. This difference is what constitutes the "Slope."
- If the current value is higher than the previous one, it is categorized as an UpSlope.
- If the current value is lower, it is categorized as a DownSlope.
4. Visual Representation The result is displayed in a separate window below your main chart. It uses two distinct visual elements:
- Green Histograms: Represent the strength and direction of the upward momentum.
- Red Histograms: Represent the strength and direction of the downward momentum.
Summary for the User
In simple terms, this script tells you how hard the market is pushing in a specific direction. Instead of looking at a line that follows price, you are looking at a histogram that measures the "velocity" of that line. When the bars grow larger, the trend is accelerating; when they shrink, the trend is losing steam; and when the color switches, the momentum has shifted direction.
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JMASlope_v1
//+------------------------------------------------------------------+
//| JMASlope.mq4 |
//| Copyright © 2005, TrendLaboratory Ltd. |
//| http://finance.groups.yahoo.com/group/TrendLaboratory |
//| Thanks to Weld, Jurik Research http://weld.torguem.net|
//+------------------------------------------------------------------+
#property copyright "Copyright © 2005, TrendLaboratory Ltd."
#property link "http://finance.groups.yahoo.com/group/TrendLaboratory"
#property indicator_separate_window
#property indicator_buffers 2
#property indicator_color1 Green
#property indicator_color2 Red
//---- input parameters
extern int Length = 14;
extern int Phase = 0;
//---- buffers
double UpBuffer [];
double DnBuffer [];
double JMAValueBuffer [];
double fC0Buffer [];
double fA8Buffer [];
double fC8Buffer [];
//---- temporary buffers
double list[128], ring1[128], ring2[11], buffer[62];
//---- bool flag
bool initFlag;
//---- integer vars
int limitValue, startValue, loopParam, loopCriteria;
int cycleLimit, highLimit, counterA, counterB;
//---- double vars
double cycleDelta, lowDValue, highDValue, absValue, paramA, paramB;
double phaseParam, logParam, JMAValue, series, sValue, sqrtParam, lengthDivider;
//---- temporary int variables
int s58, s60, s40, s38, s68;
//+------------------------------------------------------------------+
//| JMA initFlagization function |
//+------------------------------------------------------------------+
int init()
{
double lengthParam;
//---- 3 additional buffers are used for counting.
IndicatorBuffers(6);
//---- drawing settings
SetIndexStyle (0, DRAW_HISTOGRAM);
SetIndexStyle (1, DRAW_HISTOGRAM);
SetIndexDrawBegin(0, 30);
SetIndexDrawBegin(1, 30);
//---- 4 indicator buffers mapping
SetIndexBuffer (0, UpBuffer);
SetIndexBuffer (1, DnBuffer);
SetIndexBuffer (2, JMAValueBuffer);
SetIndexBuffer (3, fC0Buffer);
SetIndexBuffer (4, fA8Buffer);
SetIndexBuffer (5, fC8Buffer);
//---- initialize one buffer (neccessary)
ArrayInitialize (ring2, 0);
ArrayInitialize (ring1, 0);
ArrayInitialize (buffer, 0);
//---- name for DataWindow and indicator subwindow label
IndicatorShortName ("JMASlope(" + Length + "," + Phase + ")");
SetIndexLabel (0, "UpSlope");
SetIndexLabel (1, "DownSlope");
//---- initial part
limitValue = 63;
startValue = 64;
//----
for (int i = 0; i <= limitValue; i++) list [i] = -1000000;
for (i = startValue; i <= 127; i++) list [i] = 1000000;
//----
initFlag = true;
if (Length < 1.0000000002) lengthParam = 0.0000000001;
else lengthParam = (Length - 1) / 2.0;
//----
if (Phase < -100) phaseParam = 0.5;
else if (Phase > 100) phaseParam = 2.5;
else phaseParam = Phase / 100.0 + 1.5;
//----
logParam = MathLog (MathSqrt (lengthParam)) / MathLog (2.0);
//----
if (logParam + 2.0 < 0) logParam = 0;
else logParam = logParam + 2.0;
//----
sqrtParam = MathSqrt(lengthParam) * logParam;
lengthParam = lengthParam * 0.9;
lengthDivider = lengthParam / (lengthParam + 2.0);
//----
return;
}
//+------------------------------------------------------------------+
//| JMA iteration function |
//+------------------------------------------------------------------+
int start()
{
//---- get already counted bars
int counted_bars = IndicatorCounted();
//---- check for possible errors
if (counted_bars < 0) return (-1);
int limit = Bars - counted_bars - 1;
//---- main cycle
for (int shift = limit; shift >= 0; shift--) {
series = Close [shift];
if (loopParam < 61) {
loopParam++;
buffer [loopParam] = series;
}
if (loopParam > 30) {
if (initFlag) {
initFlag = false;
int diffFlag = 0;
for (int i = 1; i <= 29; i++) {
if (buffer [i + 1] != buffer [i]) diffFlag = 1;
}
highLimit = diffFlag * 30;
if (highLimit == 0) paramB = series;
else paramB = buffer[1];
paramA = paramB;
if (highLimit > 29) highLimit = 29;
} else
highLimit = 0;
//---- big cycle
for (i = highLimit; i >= 0; i--) {
if (i == 0) sValue = series; else sValue = buffer [31 - i];
if (MathAbs (sValue - paramA) > MathAbs (sValue - paramB)) absValue = MathAbs(sValue - paramA); else absValue = MathAbs(sValue - paramB);
double dValue = absValue + 0.0000000001; //1.0e-10;
if (counterA <= 1) counterA = 127; else counterA--;
if (counterB <= 1) counterB = 10; else counterB--;
if (cycleLimit < 128) cycleLimit++;
cycleDelta += (dValue - ring2 [counterB]);
ring2 [counterB] = dValue;
if (cycleLimit > 10) highDValue = cycleDelta / 10.0; else highDValue = cycleDelta / cycleLimit;
if (cycleLimit > 127) {
dValue = ring1 [counterA];
ring1 [counterA] = highDValue;
s68 = 64; s58 = s68;
while (s68 > 1) {
if (list [s58] < dValue) {
s68 = s68 / 2.0;
s58 += s68;
} else
if (list [s58] <= dValue) {
s68 = 1;
} else {
s68 = s68 / 2.0;
s58 -= s68;
}
}
} else {
ring1 [counterA] = highDValue;
if ((limitValue + startValue) > 127) {
startValue--;
s58 = startValue;
} else {
limitValue++;
s58 = limitValue;
}
if (limitValue > 96) s38 = 96; else s38 = limitValue;
if (startValue < 32) s40 = 32; else s40 = startValue;
}
//----
s68 = 64;
s60 = s68;
while (s68 > 1) {
if (list [s60] >= highDValue) {
if (list [s60 - 1] <= highDValue) {
s68 = 1;
}
else {
s68 = s68 / 2.0;
s60 -= s68;
}
}
else {
s68 = s68 / 2.0;
s60 += s68;
}
if ((s60 == 127) && (highDValue > list[127])) s60 = 128;
}
if (cycleLimit > 127) {
if (s58 >= s60) {
if (((s38 + 1) > s60) && ((s40 - 1) < s60))
lowDValue += highDValue;
else if ((s40 > s60) && ((s40 - 1) < s58))
lowDValue += list [s40 - 1];
}
else if (s40 >= s60) {
if (((s38 + 1) < s60) && ((s38 + 1) > s58))
lowDValue += list[s38 + 1];
}
else if ((s38 + 2) > s60)
lowDValue += highDValue;
else if (((s38 + 1) < s60) && ((s38 + 1) > s58))
lowDValue += list[s38 + 1];
if (s58 > s60) {
if (((s40 - 1) < s58) && ((s38 + 1) > s58))
lowDValue -= list [s58];
else if ((s38 < s58) && ((s38 + 1) > s60))
lowDValue -= list [s38];
}
else {
if (((s38 + 1) > s58) && ((s40 - 1) < s58))
lowDValue -= list [s58];
else if ((s40 > s58) && (s40 < s60))
lowDValue -= list [s40];
}
}
if (s58 <= s60) {
if (s58 >= s60) list[s60] = highDValue; else {
for (int j = s58 + 1; j <= (s60 - 1); j++) {
list [j - 1] = list[j];
}
list [s60 - 1] = highDValue;
}
} else {
for (j = s58 - 1; j >= s60; j--) {
list [j + 1] = list [j];
}
list [s60] = highDValue;
}
if (cycleLimit <= 127) {
lowDValue = 0;
for (j = s40; j <= s38; j++) {
lowDValue += list[j];
}
}
//----
if ((loopCriteria + 1) > 31) loopCriteria = 31; else loopCriteria++;
double JMATempValue, sqrtDivider = sqrtParam / (sqrtParam + 1.0);
if (loopCriteria <= 30) {
if (sValue - paramA > 0) paramA = sValue; else paramA = sValue - (sValue - paramA) * sqrtDivider;
if (sValue - paramB < 0) paramB = sValue; else paramB = sValue - (sValue - paramB) * sqrtDivider;
JMATempValue = series;
if (loopCriteria == 30) {
fC0Buffer [shift] = series;
int intPart;
if (MathCeil(sqrtParam) >= 1) intPart = MathCeil(sqrtParam); else intPart = 1;
int leftInt = IntPortion (intPart);
if (MathFloor(sqrtParam) >= 1) intPart = MathFloor(sqrtParam); else intPart = 1;
int rightPart = IntPortion (intPart);
if (leftInt == rightPart) dValue = 1.0;
else
dValue = (sqrtParam - rightPart) / (leftInt - rightPart);
if (rightPart <= 29) int upShift = rightPart; else upShift = 29;
if (leftInt <= 29) int dnShift = leftInt; else dnShift = 29;
fA8Buffer [shift] = (series - buffer [loopParam - upShift]) * (1 - dValue) / rightPart + (series - buffer[loopParam - dnShift]) * dValue / leftInt;
}
} else {
double powerValue, squareValue;
dValue = lowDValue / (s38 - s40 + 1);
if (0.5 <= logParam - 2.0) powerValue = logParam - 2.0;
else powerValue = 0.5;
if (logParam >= MathPow(absValue/dValue, powerValue)) dValue = MathPow (absValue/dValue, powerValue); else dValue = logParam;
if (dValue < 1) dValue = 1;
powerValue = MathPow (sqrtDivider, MathSqrt (dValue));
if (sValue - paramA > 0) paramA = sValue; else paramA = sValue - (sValue - paramA) * powerValue;
if (sValue - paramB < 0) paramB = sValue; else paramB = sValue - (sValue - paramB) * powerValue;
}
}
// ---- end of big cycle
if (loopCriteria > 30) {
JMATempValue = JMAValueBuffer [shift + 1];
powerValue = MathPow (lengthDivider, dValue);
squareValue = MathPow (powerValue, 2);
fC0Buffer [shift] = (1 - powerValue) * series + powerValue * fC0Buffer [shift + 1];
fC8Buffer [shift] = (series - fC0Buffer [shift]) * (1 - lengthDivider) + lengthDivider * fC8Buffer [shift + 1];
fA8Buffer [shift] = (phaseParam * fC8Buffer [shift] + fC0Buffer [shift] - JMATempValue) *
(powerValue * (-2.0) + squareValue + 1) + squareValue * fA8Buffer [shift + 1];
JMATempValue += fA8Buffer [shift];
}
JMAValue = JMATempValue;
}
if (loopParam <= 30) JMAValue = 0;
JMAValueBuffer [shift] = JMAValue;
double rel=JMAValueBuffer [shift]-JMAValueBuffer [shift+1];
if(rel>0)
UpBuffer[shift]=rel; else DnBuffer[shift]=rel;
//---- End of main cycle
}
return;
}
//+------------------------------------------------------------------+
int IntPortion (double param) {
if (param > 0) return (MathFloor (param));
if (param < 0) return (MathCeil (param));
return (0.0);
}
//+------------------------------------------------------------------+
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