JMASlope_v2
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This script is designed to create a visual indicator for the MetaTrader platform that measures the "slope" or momentum of price movement. Instead of simply showing you where the price is, it analyzes the speed and direction of the trend to help traders identify whether the market is moving up or down with strength.
Core Logic Overview
The script operates by processing price data through several sophisticated mathematical layers to smooth out "market noise" while remaining responsive to real-time changes. Here is how it works step-by-step:
1. Price Smoothing and Trend Identification The tool uses a specialized moving average logic (known as JMA). Unlike a standard moving average, which can be "laggy" (showing you what happened in the past), this logic attempts to calculate a smoother trend line that adapts to the speed of price changes. It looks at a specific window of time—defined by the user's "Length" setting—and calculates an adjusted value that balances stability with responsiveness.
2. Momentum and Phase Adjustment The script includes a "Phase" variable. This allows the user to fine-tune how much the indicator reacts to sudden shifts in price. It essentially scales the math behind the trend line to ensure that the indicator doesn't flip-flop too quickly during sideways markets, but still captures significant turns when they occur.
3. Slope Calculation Once the smoothed trend value is established, the script compares the current value against the previous one.
- If the current smoothed value is higher than the previous one, it identifies an Upward Slope.
- If the current smoothed value is lower, it identifies a Downward Slope.
4. Visual Representation The results are displayed in a separate window as a histogram:
- Green Histogram: Represents positive momentum (the price trend is moving upward).
- Red Histogram: Represents negative momentum (the price trend is moving downward).
How to Read the Results
Because this script measures "Slope," the height of the histogram bars indicates the velocity of the trend. A tall bar suggests a strong, rapid move in one direction, while a shorter bar suggests a stabilizing or slowing trend. By looking at these bars, users can visually distinguish between a steady trend and a fading price movement.
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JMASlope_v2
/*-----------------------------+
| |
| Shared by www.Aptrafx.com |
| |
+------------------------------*/
//+------------------------------------------------------------------+
//| 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;
DnBuffer[shift]=0;
}
else
{
DnBuffer[shift]=rel;
UpBuffer[shift]=0;
}
//---- 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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