This indicator detects equal highs and lows by comparing prices within user-defined left and right bars using a tolerance percentage. It plots horizontal lines on the price chart for equal highs in one color and lows in another. A screener allows input of mult
Indicator · Pine Script v4 · On the chart
Bitcoin Logarithmic Growth Curves
This indicator plots logarithmic growth curves directly on the price chart to model macro valuation channels for Bitcoin.
GitHub stars1on the repository
Pine versionv4older, still runs
Lines of code103
Settings7inputs
LicenceGPL-3.0
Last update6 years ago10 Mar 2020
Add It to Your TradingView Chart
- 1Copy the scriptPress Copy script above, or the copy button on the code below.
- 2Open the Pine EditorOpen a TradingView chart and choose Pine Editor at the bottom of the screen.
- 3Paste over the templateCreate a new indicator, select all of the template text and paste. Press Save and give it a name.
- 4Add it to the chartPress Add to chart, then adjust the settings with the gear icon next to its name.
Source Code
103 lines of Pine Script v4 from Bitcoin-logarithmic-growth-curves-[Numchuck]-v1.0.pine, published under GPL-3.0. Keep the author's credit and licence lines when you reuse it.
//@version=4
// Version 0.1 - feb 2020 - Bas Willemstijn
study(title="Bitcoin Logarithmic Growth Curves", shorttitle="Bitcoin Log Growth", overlay=true)
// INPUTS
DarkOrLight = input("Dark", title="Dark mode or Light mode?", options=["Dark", "Light"])
ShowFibs = input("Y", title="Show Fibonacci Levels?", options=["Y","N"])
ShowExtensions= input("Y", title="Show Curve Projections?", options=["Y","N"])
HighIntercept = input(1.06930947, title="Top Curve Intercept", step=0.001)
HighSlope = input(0.00076, title="Top Curve Slope", step=0.00001)
LowIntercept = input(-3.0269716, title="Bottom Curve Intercept", step=0.001)
LowSlope = input(0.001329, title="Bottom Curve Slope", step=0.00001)
// TIME CALCS
TimeIndex = time < 1279670400000 ? 3.0 : (time - 1279670400000) / 86400000
Weight = (log10(TimeIndex + 10) * TimeIndex * TimeIndex - TimeIndex) / 30000
TimeDelta = time - time[1]
// TOP OF CHANNEL INTERCEPT & SLOPE CALCS
HighSlopeCum = HighSlope * TimeIndex
HighLogDev = TimeIndex > 2 ? log(Weight) + HighIntercept + HighSlopeCum : na
// BOTTOM OF CHANNEL INTERCEPT & SLOPE CALCS
LowSlopeCum = LowSlope * TimeIndex
LowLogDev = TimeIndex > 2 ? log(Weight) + LowIntercept + LowSlopeCum : na
// TOTAL CHANNEL LOG RANGE
LogRange = HighLogDev - LowLogDev
// FIBONACCI LEVELS
Fib9098Calc = (LogRange * 0.9098) + LowLogDev
Fib8541Calc = (LogRange * 0.8541) + LowLogDev
Fib7639Calc = (LogRange * 0.7639) + LowLogDev
Fib618Calc = (LogRange * 0.618) + LowLogDev
MidCalc = (LogRange * 0.5) + LowLogDev
Fib382Calc = (LogRange * 0.382) + LowLogDev
Fib2361Calc = (LogRange * 0.2361) + LowLogDev
Fib1459Calc = (LogRange * 0.1459) + LowLogDev
Fib0902Calc = (LogRange * 0.0902) + LowLogDev
// SCALE LOG VARIABLES TO LINEAR
HighDev = pow(2.718281828459, HighLogDev)
Fib9098Dev = ShowFibs == "Y" ? pow(2.718281828459, Fib9098Calc) : na
Fib8541Dev = ShowFibs == "Y" ? pow(2.718281828459, Fib8541Calc) : na
Fib7639Dev = ShowFibs == "Y" ? pow(2.718281828459, Fib7639Calc) : na
Fib618Dev = ShowFibs == "Y" ? pow(2.718281828459, Fib618Calc) : na
MidDev = pow(2.718281828459, MidCalc)
Fib382Dev = ShowFibs == "Y" ? pow(2.718281828459, Fib382Calc) : na
Fib2361Dev = ShowFibs == "Y" ? pow(2.718281828459, Fib2361Calc) : na
Fib1459Dev = ShowFibs == "Y" ? pow(2.718281828459, Fib1459Calc) : na
Fib0902Dev = ShowFibs == "Y" ? pow(2.718281828459, Fib0902Calc) : na
LowDev = pow(2.718281828459, LowLogDev)
// COLOR SCHEME
ColorScheme = DarkOrLight == "Dark" ? color(color.white) : color(color.black)
// PLOTS
plot(HighDev, color=ColorScheme, transp=0, title="100% - Top of Channel")
plot(Fib9098Dev, color=ColorScheme, transp=50, title="90.98% - Fibonacci Level")
plot(Fib8541Dev, color=ColorScheme, transp=50, title="85.41% - Fibonacci Level")
plot(Fib7639Dev, color=ColorScheme, transp=50, title="76.39% - Fibonacci Level")
plot(Fib618Dev, color=ColorScheme, transp=50, title="61.80% - Fibonacci Level")
plot(MidDev, color=ColorScheme, transp=0, title="50% - Middle of Channel")
plot(Fib382Dev, color=ColorScheme, transp=50, title="38.20% - Fibonacci Level")
plot(Fib2361Dev, color=ColorScheme, transp=50, title="23.61% - Fibonacci Level")
plot(Fib1459Dev, color=ColorScheme, transp=50, title="14.59% - Fibonacci Level")
plot(Fib0902Dev, color=ColorScheme, transp=50, title="9.02% - Fibonacci Level")
plot(LowDev, color=ColorScheme, transp=0, title="0% - Bottom of Channel")
//////////////////////////////////////////////////////////
// //
// CURVE EXTENSION DRAWING FUNCTION & HELPER VARIABLES //
// //
//////////////////////////////////////////////////////////
// CURVE EXTENSION FUNCTION
ExtenZe(_i, _slope, _intercept) =>
TI = ((time + TimeDelta *_i) -1279670400000) / 86400000
W = (log10(TI + 10) * TI * TI - TI) / 30000
HSC = _slope * TI
HLD = log(W) + _intercept + HSC
HD = pow(2.718281828459, HLD)
HD
// VARIABLES FOR ADJUSTING LENGTH OF CURVE EXTENSIONS RELATIVE TO CHART TIME-FRAME
ForLoopStep = timeframe.ismonthly == 1 ? ceil( 12 / timeframe.multiplier) :
timeframe.isweekly == 1 ? ceil(26 / timeframe.multiplier) :
timeframe.isdaily == 1 ? ceil(91 / timeframe.multiplier) :
(timeframe.isminutes == 1) and (timeframe.multiplier > 59) ? ceil(10080 / timeframe.multiplier) : na
ForLoopMax = na(ForLoopStep) ? na : ForLoopStep * 13
// MID CURVE SLOPE & INTERCEPT
MidSlope = (HighSlope + LowSlope) * 0.5
MidIntercept = (HighIntercept + LowIntercept) * 0.5
// CHECK IF LAST BAR & "Show Curve Projections" IS CHECKED, THEN DRAW CURVE EXTENZES
if barstate.islast and ShowExtensions == "Y"
for i = 0 to ForLoopMax-1 by ForLoopStep
line.new(time + TimeDelta * i, ExtenZe(i, HighSlope, HighIntercept), time + TimeDelta * (i + ForLoopStep), ExtenZe(i + ForLoopStep, HighSlope, HighIntercept), xloc=xloc.bar_time, color=ColorScheme)
line.new(time + TimeDelta * i, ExtenZe(i, LowSlope, LowIntercept), time + TimeDelta * (i + ForLoopStep), ExtenZe(i + ForLoopStep, LowSlope, LowIntercept), xloc=xloc.bar_time, color=ColorScheme)
line.new(time + TimeDelta * i, ExtenZe(i, MidSlope, MidIntercept), time + TimeDelta * (i + ForLoopStep), ExtenZe(i + ForLoopStep, MidSlope, MidIntercept), xloc=xloc.bar_time, color=ColorScheme)
Overview
Bitcoin Logarithmic Growth Curves calculates upper and lower bounds using elapsed time from a fixed historical baseline, scaling mathematical curves and intermediate Fibonacci levels into price terms. Users can toggle Fibonacci lines, switch between dark and light color themes, and calibrate curve intercepts and slopes. The script provides visual reference bands without execution signals, and fixed time calculations limit its design to macro analysis.
- Logarithmic growth channel curves
- Intermediate Fibonacci levels
- Customizable curve intercepts and slopes
- Dark and light display modes
Details
Published by
DT021 on GitHub
Type
Indicator, Pine Script v4
Draws
On the price chart
Category
Support & resistance, Trend
Markets
Crypto
Timeframes
H4 and above
Risk Notes
No repainting, lookahead or stacked entries were found in its code or README. That says nothing about how well it works: test it first.
Settings
The inputs you can change from the gear icon on the chart. Defaults are the author's.
| Setting | Type | Default | Variable |
|---|---|---|---|
| Dark mode or Light mode? | string | Dark | DarkOrLight |
| Show Fibonacci Levels? | string | Y | ShowFibs |
| Show Curve Projections? | string | Y | ShowExtensions |
| Top Curve Intercept | float | 1.06930947 | HighIntercept |
| Top Curve Slope | float | 0.00076 | HighSlope |
| Bottom Curve Intercept | float | -3.0269716 | LowIntercept |
| Bottom Curve Slope | float | 0.001329 | LowSlope |
Third-party code. ForexR did not write, test or endorse this script, and the summary above was generated automatically from its code and README. Indicators describe the past, and a strategy's backtest can look better than live trading, especially when a script repaints. Check it in the Strategy Tester and on a demo account before you rely on it.
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