# filename: _MAMA_MDI_Combo_Lower_
# Here is Ehler's MAMA:
# hint: <b>Ehler's Mesa Adaptive Moving Average</b> using Ray's clean version
# of the homodyne discriminator.
#
# MIT License
# Copyright (c) <2010> <Radford Juang>
#
#Permission is hereby granted, free of charge, to any person obtaining a copy
#of this software and associated documentation files (the "Software"), to deal
#in the Software without restriction, including without limitation the rights
#to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
#copies of the Software, and to permit persons to whom the Software is
#furnished to do so, subject to the following conditions:
#
#The above copyright notice and this permission notice shall be included in
#all copies or substantial portions of the Software.
#
#THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
#IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
#FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
#AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
#LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
#OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
#THE SOFTWARE.
#
declare lower;
script WMA_Smooth {
input price = hl2;
plot smooth = (4 * price
+ 3 * price[1]
+ 2 * price[2]
+ price[3]) / 10;
}
script Phase_Accumulation {
# This is Ehler's Phase Accumulation code. It has a full cycle delay.
# However, it computes the correction factor to a very high degree.
#
input price = hl2;
rec Smooth;
rec Detrender;
rec Period;
rec Q1;
rec I1;
rec I1p;
rec Q1p;
rec Phase1;
rec Phase;
rec DeltaPhase;
rec DeltaPhase1;
rec InstPeriod1;
rec InstPeriod;
def CorrectionFactor;
if barNumber() <= 5
then {
Period = 0;
Smooth = 0;
Detrender = 0;
CorrectionFactor = 0;
Q1 = 0;
I1 = 0;
Q1p = 0;
I1p = 0;
Phase = 0;
Phase1 = 0;
DeltaPhase1 = 0;
DeltaPhase = 0;
InstPeriod = 0;
InstPeriod1 = 0;
} else {
CorrectionFactor = 0.075 * Period[1] + 0.54;
# Smooth and detrend my smoothed signal:
Smooth = WMA_Smooth(price);
Detrender = ( 0.0962 * Smooth
+ 0.5769 * Smooth[2]
- 0.5769 * Smooth[4]
- 0.0962 * Smooth[6] ) * CorrectionFactor;
# Compute Quadrature and Phase of Detrended signal:
Q1p = ( 0.0962 * Detrender
+ 0.5769 * Detrender[2]
- 0.5769 * Detrender[4]
- 0.0962 * Detrender[6] ) * CorrectionFactor;
I1p = Detrender[3];
# Smooth out Quadrature and Phase:
I1 = 0.15 * I1p + 0.85 * I1p[1];
Q1 = 0.15 * Q1p + 0.85 * Q1p[1];
# Determine Phase
if I1 != 0
then {
# Normally, ATAN gives results from -pi/2 to pi/2.
# We need to map this to circular coordinates 0 to 2pi
if Q1 >= 0 and I1 > 0
then { # Quarant 1
Phase1 = ATan(AbsValue(Q1 / I1));
} else if Q1 >= 0 and I1 < 0
then { # Quadrant 2
Phase1 = Double.Pi - ATan(AbsValue(Q1 / I1));
} else if Q1 < 0 and I1 < 0
then { # Quadrant 3
Phase1 = Double.Pi + ATan(AbsValue(Q1 / I1));
} else { # Quadrant 4
Phase1 = 2 * Double.Pi - ATan(AbsValue(Q1 / I1));
}
} else if Q1 > 0
then { # I1 == 0, Q1 is positive
Phase1 = Double.Pi / 2;
} else if Q1 < 0
then { # I1 == 0, Q1 is negative
Phase1 = 3 * Double.Pi / 2;
} else { # I1 and Q1 == 0
Phase1 = 0;
}
# Convert phase to degrees
Phase = Phase1 * 180 / Double.Pi;
if Phase[1] < 90 and Phase > 270
then {
# This occurs when there is a big jump from 360-0
DeltaPhase1 = 360 + Phase[1] - Phase;
} else {
DeltaPhase1 = Phase[1] - Phase;
}
# Limit our delta phases between 7 and 60
if DeltaPhase1 < 7
then {
DeltaPhase = 7;
} else if DeltaPhase1 > 60
then {
DeltaPhase = 60;
} else {
DeltaPhase = DeltaPhase1;
}
# Determine Instantaneous period:
InstPeriod1 =
-1 * (fold i = 0 to 40 with v=0 do
if v < 0 then
v
else if v > 360 then
-i
else
v + GetValue(DeltaPhase, i, 41)
);
if InstPeriod1 <= 0
then {
InstPeriod = InstPeriod[1];
} else {
InstPeriod = InstPeriod1;
}
Period = 0.25 * InstPeriod + 0.75 * Period[1];
}
plot DC = Period;
}
script Ehler_MAMA {
input price = hl2;
input FastLimit = 0.5;
input SlowLimit = 0.05;
rec Period;
rec Period_raw;
rec Period_cap;
rec Period_lim;
rec Smooth;
rec Detrender;
rec I1;
rec Q1;
rec jI;
rec jQ;
rec I2;
rec Q2;
rec I2_raw;
rec Q2_raw;
rec Phase;
rec DeltaPhase;
rec DeltaPhase_raw;
rec alpha;
rec alpha_raw;
rec Re;
rec Im;
rec Re_raw;
rec Im_raw;
rec SmoothPeriod;
rec vmama;
rec vfama;
def CorrectionFactor = Phase_Accumulation(price).CorrectionFactor;
if barNumber() <= 5
then {
Smooth = 0;
Detrender = 0;
Period = 0;
Period_raw = 0;
Period_cap = 0;
Period_lim = 0;
I1 = 0;
Q1 = 0;
I2 = 0;
Q2 = 0;
jI = 0;
jQ = 0;
I2_raw = 0;
Q2_raw = 0;
Re = 0;
Im = 0;
Re_raw = 0;
Im_raw = 0;
SmoothPeriod = 0;
Phase = 0;
DeltaPhase = 0;
DeltaPhase_raw = 0;
alpha = 0;
alpha_raw = 0;
vmama = 0;
vfama = 0;
} else {
# Smooth and detrend my smoothed signal:
Smooth = WMA_Smooth(price);
Detrender = ( 0.0962 * Smooth
+ 0.5769 * Smooth[2]
- 0.5769 * Smooth[4]
- 0.0962 * Smooth[6] ) * CorrectionFactor;
Q1 = ( 0.0962 * Detrender
+ 0.5769 * Detrender[2]
- 0.5769 * Detrender[4]
- 0.0962 * Detrender[6] ) * CorrectionFactor;
I1 = Detrender[3];
jI = ( 0.0962 * I1
+ 0.5769 * I1[2]
- 0.5769 * I1[4]
- 0.0962 * I1[6] ) * CorrectionFactor;
jQ = ( 0.0962 * Q1
+ 0.5769 * Q1[2]
- 0.5769 * Q1[4]
- 0.0962 * Q1[6] ) * CorrectionFactor;
# This is the complex conjugate
I2_raw = I1 - jQ;
Q2_raw = Q1 + jI;
I2 = 0.2 * I2_raw + 0.8 * I2_raw[1];
Q2 = 0.2 * Q2_raw + 0.8 * Q2_raw[1];
Re_raw = I2 * I2[1] + Q2 * Q2[1];
Im_raw = I2 * Q2[1] - Q2 * I2[1];
Re = 0.2 * Re_raw + 0.8 * Re_raw[1];
Im = 0.2 * Im_raw + 0.8 * Im_raw[1];
# Compute the phase
if Re != 0 and Im != 0
then {
Period_raw = 2 * Double.Pi / ATan(Im / Re);
} else {
Period_raw = 0;
}
if Period_raw > 1.5 * Period_raw[1]
then {
Period_cap = 1.5 * Period_raw[1];
} else if Period_raw < 0.67 * Period_raw[1] {
Period_cap = 0.67 * Period_raw[1];
} else {
Period_cap = Period_raw;
}
if Period_cap < 6
then {
Period_lim = 6;
} else if Period_cap > 50
then {
Period_lim = 50;
} else {
Period_lim = Period_cap;
}
Period = 0.2 * Period_lim + 0.8 * Period_lim[1];
SmoothPeriod = 0.33 * Period + 0.67 * SmoothPeriod[1];
if I1 != 0
then {
Phase = ATan(Q1 / I1);
} else if Q1 > 0
then { # Quadrant 1:
Phase = Double.Pi / 2;
} else if Q1 < 0
then { # Quadrant 4:
Phase = -Double.Pi / 2;
} else { # Both numerator and denominator are 0.
Phase = 0;
}
DeltaPhase_raw = Phase[1] - Phase;
if DeltaPhase_raw < 1
then {
DeltaPhase = 1;
} else {
DeltaPhase = DeltaPhase_raw;
}
alpha_raw = FastLimit / DeltaPhase;
if alpha_raw < SlowLimit
then {
alpha = SlowLimit;
} else {
alpha = alpha_raw;
}
vmama = alpha * price + (1 - alpha) * vmama[1];
vfama = 0.5 * alpha * vmama + (1 - 0.5 * alpha) * vfama[1];
}
plot MAMA = vmama;
plot FAMA = vfama;
}
#declare upper;
input price = hl2;
input FastLimit = 0.5;
input SlowLimit = 0.05;
plot MAMA = Ehler_MAMA(price, FastLimit, SlowLimit).MAMA;
MAMA.SetDefaultColor(Color.CYAN);
MAMA.SetLineWeight(2);
plot FAMA = Ehler_MAMA(price, FastLimit, SlowLimit).FAMA;
FAMA.SetDefaultColor(Color.MAGENTA);
FAMA.SetLineWeight(2);
FAMA.hide();
plot Crossing = Crosses((MAMA < FAMA), yes);
Crossing.SetPaintingStrategy(PaintingStrategy.BOOLEAN_ARROW_UP);
Crossing.SetDefaultColor(Color.LIGHT_GREEN);
Crossing.SetLineWeight(3);
Crossing.hide();
plot Crossing1 = Crosses((MAMA > FAMA), yes);
Crossing1.SetPaintingStrategy(PaintingStrategy.BOOLEAN_ARROW_DOWN);
Crossing1.SetDefaultColor(Color.PINK);
Crossing1.SetLineWeight(3);
Crossing1.hide();
#AddLabel(yes, Concat("MAMA: ", Concat("",
#if MAMA > FAMA then "Bull" else "Bear")),
#if MAMA > FAMA then Color.GREEN else Color.RED);
# McGinley Dynamic Indicator
# Mobius
# V02.11.2011
# D = D1 + ((I - D1) / ( N * (I/D1)^4))
# where D1= yesterday's Dynamic, I = today's price, N = smoothing factor.
input value= close;
input length= 20;
input Slength = 5;
def A1= ExpAverage(value, length)[1];
def MDI = A1 + ((value - A1) / Sqr(value / A1));
plot Data = ExpAverage(MDI, Slength);
Data.SetPaintingStrategy(PaintingStrategy.LINE);
Data.SetLineWeight(2);
#Data.SetDefaultColor(Color.LIGHT_GRAY);
def A2 = ExpAverage(value, length*3)[1];
def MDI2 = A2 + ((value - A2) / Sqr(value / A2));
plot Data2 = ExpAverage(MDI2, Slength*3);
Data2.DefineColor("Data2_SlopePos", Color.GREEN);
Data2.DefineColor("Data2_SlopeNeg", Color.MAGENTA);
Data2.AssignValueColor(if Data > Data2 then Data2.Color("Data2_SlopePos") else Data2.Color("Data2_SlopeNeg"));
Data2.setlineweight(2);
data2.hide();
Data.DefineColor("Data_SlopePos", Color.CYAN);
Data.DefineColor("Data_SlopeNeg", Color.RED);
Data.AssignValueColor(if Data > Data2 then Data.Color("Data_SlopePos") else Data.Color("Data_SlopeNeg"));
data.hide();
plot EMA8 = expaverage(close,8);
EMA8.setdefaultcolor(color.DARK_ORANGE);
EMA8.setlineweight(2);
EMA8.hide();
# End Code ------------
def buySignal = if Data > Data2 and Data[1] <= Data2[1] and expaverage(close,8) > average(close,13) then 1 else 0;
def sellSignal = if Data < Data2 and Data[1] >= Data2[1] and expaverage(close,8) < average(close,13) then 1 else 0;
plot signal = if buySignal or sellSignal then Data else double.nan;
signal.assignValueColor(if buySignal then color.WHITE else color.YELLOW);
signal.setLineWeight(5);
#signal.SetStyle(curve.points);
signal.setpaintingstrategy(paintingStrategy.SQUARES);
signal.hide();
# additional plots from yahoo forum
input price2 = close;
input length2 = 14;
input displace = 0;
plot WS = WildersAverage(price2[-displace], length2);
WS.setDefaultColor(Color.LIGHT_GRAY);
WS.setLineWeight(2);
input periods = 10;
rec _md = compoundValue( 1, _md[1] + (( close - _md[1] ) / ( periods *
power( close / _md[1], 4 ) ) ), close );
plot MD = _md;
MD.setdefaultcolor(color.CYAN);
MD.setlineweight(2);
MD.hide();
def buySignal2 = if MD > WS and MD[1] <= WS[1] and expaverage(close,8) > average(close,13) then 1 else 0;
def sellSignal2 = if MD < WS and MD[1] >= WS[1] and expaverage(close,85) < average(close,13) then 1 else 0;
plot signal2 = if buySignal2 or sellSignal2 then MD else double.nan;
signal2.assignValueColor(if buySignal2 then color.WHITE else color.YELLOW);
signal2.setLineWeight(5);
signal2.SetStyle(curve.points);
signal2.hide();
#signal2.setpaintingstrategy(paintingStrategy.SQUARES);