Daily Algo LevelsQuickly plot stoo's algo levels. Gives option to expand range based on algo error formula. Gives option to display suggested entry points.
Cerca negli script per "algo"
FUNCTION: Goertzel algorithm -- DFT of a specific frequency binThis function implements the Goertzel algorithm (for integer N).
The Goertzel algorithm is a technique in digital signal processing (DSP) for efficient evaluation of the individual terms of the discrete Fourier transform (DFT).
In short, it measure the power of a specific frequency like one bin of a DFT, over a rolling window (N) of samples.
Here you see an input signal that changes frequency and amplitude (from 7 bars to 17). I am running the indicator 3 times to show it measuring both frequencies and one in between (13). You can see it very accurately measures the signals present and their power, but is noisy in the transition. Changing the block len will cause it to be more responsive but noisier.
Here is a picture of the same signal, but with white noise added.
If you have a cycle you think is present you could use this to test it, but the function is designed for integration in to more complicated scripts. I think power is best interrupted on a log scale.
Given a period (in bars or samples) and a block_len (N in Goertzel terminology) the function returns the Real (InPhase) and Quadrature (Imaginary) components of your signal as well as calculating the power and the instantaneous angle (in radians).
I hope this proves useful to the DSP folks here.
Patient Trendfollower (7)(alpha) Backtesting AlgorithmThis is an alpha version of backtesting algorithm for my Patient Trendfollower (7) strategy. It can help you adapt the indicator to other charts than EURUSD. Please bear in mind that price action, volume profiles and supzistences are a catalyst for successful trading, not an indicator. You can get significantly better results if you use these things in your trading and use Trendfollower only as a secondary tool.
Patient Trendfollower Indicator
Thanks belongs to @everget and Satik FX, their contributions are highlighted on an indicator page.
Forex Master v2.0 (EUR/USD)This is version 2 of my Forex Master algorithm originally posted here:
BACKTEST CONDITIONS:
Initial equity = $100,000 (no leverage)
Order size = 100% of equity
Pyramiding = disabled
TRADING RULES:
Long entry = EMA5(RSI20) cross> 50
Profit limit = 50 pips
Stop loss = 50 pips
Short entry = EMA5(RSI20) cross< 50
Profit limit = 50 pips
Stop loss = 50 pips
Long entry = Short exit
Short entry = long exit
DISCLAIMER: None of my ideas and posts are investment advice. Past performance is not an indication of future results. This strategy was constructed with the benefit of hindsight and its future performance cannot be guaranteed.
Daily Single Trade [SMRT Algo]The Daily Single Trade Indicator by SMRT Algo is a powerful yet simple tool designed for traders who value precision, discipline, and a focus on high-quality trade setups. With a unique approach, this indicator identifies just one signal daily, making it ideal for traders who prefer a structured and stress-free trading routine.
Please note that this indicator only works for timeframes below 1H.
Key Features:
Market Open & Pre-Market Analysis: The indicator focuses on the market’s opening range and identifies breakout opportunities based on price action during these critical periods.
Customizable Risk-Reward Ratio: Plan your trades with precision by setting your desired RR, ensuring that your take-profit (TP) levels are multiples of your stop-loss (SL). Stop loss is not shown with this indicator.
Price Offset for SL: Add a customizable buffer to your SL and TP levels. This offset accounts for market volatility, reducing the chances of premature stop-outs while maintaining alignment with your trading plan.
Increasing this value will lead to a greater invisible stop loss, which will increase the TP size. The opposite is occurs when decreasing this value (less than 0). If you set it as 2.5 for example for TSLA: price is 340 and SL is 330 for example, SL becomes 327.5. This calculation will then be applied to calculate the TP.
In simple terms, if the offset is positive, SL becomes larger, TP becomes larger as well.
Exit Point Visibility: Display exit points on your chart to better visualize trade targets and stop levels.
Adjustable Market Open Time: Easily modify the market open hour and minute to suit your asset’s trading session. For example, U.S. stock traders can set the market open time to 9:30 AM EST (UTC-5).
By providing a single signal each day, the indicator minimizes overtrading and keeps your focus on the best opportunities.
With predefined SL, TP, and RR settings, the indicator fosters disciplined trading, reducing the influence of emotional decision-making. Whether you’re trading stocks, indices, or forex, the customizable market open time and RR ratio make this indicator versatile and adaptable.
The combination of precise SL and TP calculations with offset pip adjustments helps protect your trades from market noise while maintaining a favorable RR.
Perfect for those who can’t monitor markets all day, the single-signal approach allows you to execute a high-quality trade and move on with your day.
How to Use:
Set the Market Open Time: Adjust the open time to align with your asset’s session. For example, set 9:30 AM EST for U.S. stocks.
Define Your Risk-Reward Ratio: Choose an RR multiple (e.g., 1:2 or 1:3) that aligns with your risk tolerance and trading goals.
Apply Pip Offset: Add a buffer to your SL and TP to account for market volatility and reduce false stops.
The Daily Single Trade Indicator simplifies trading by focusing on one high-probability setup per day. It’s perfect for traders looking to maintain consistency, improve risk management, and reduce the stress of overanalyzing the markets.
How Alerts Work:
Individual Alerts: Set separate notifications for specific actions, such as breakout signals, take-profit levels, or stop-loss activations.
Master Alert: Manage all notifications with one streamlined setting, ensuring you never miss an opportunity while keeping your setup simple and efficient.
Take control of your trading with a strategy built for clarity, precision, and success!
Harish Algo 2The script "Harish Algo 2" is a Pine Script-based TradingView indicator that automatically identifies significant trendlines based on fractal points and tracks price interactions with those trendlines. Key features include:
Fractal Detection: The script identifies fractal highs and lows, using a configurable fractal period, to serve as pivot points for generating trendlines. Fractal highs are marked in blue, and fractal lows are marked in red.
Dynamic Trendlines: It draws trendlines between consecutive fractal points, with a limit on the maximum number of active trendlines. The trendlines can be extended either in both directions or to the right, as per user input. The line width can also be customized.
Support/Resistance Counting: Each trendline tracks how many times the price interacts with it. If the price approaches the line from above and touches or stays near it, the line is considered a support. If the price approaches from below, it is considered a resistance. These counts are used to modify the trendline's color and appearance.
Trendlines with 2 support interactions turn green.
Trendlines with 2 resistance interactions turn red.
Trendlines with 3 or more interactions turn black.
Trendline Styling: Trendlines that extend over a long period (more than 100 bars) change to a dotted style to highlight their persistence.
Break Detection: The script monitors if the price crosses a trendline, signaling a potential breakout or breakdown. Once a trendline is broken, it stops extending further.
Trendline Removal: The script ensures that only a limited number of trendlines are active at a time. If the maximum number of trendlines is reached, the oldest trendline is removed to make space for new ones.
This indicator is designed to help traders visualize important trendlines, spot potential support and resistance levels, and detect breakouts or breakdowns based on price movement.
DTFX Algo Zones [LuxAlgo]DTFX Algo Zones are auto-generated Fibonacci Retracements based on market structure shifts.
These retracement levels are intended to be used as support and resistance levels to look for price to bounce off of to confirm direction.
🔶 USAGE
Due to the retracement levels only being generated from identified market structure shifts, the retracements are confined to only draw from areas considered more important due to the technical Break of Structure (BOS) or Change of Character (CHoCH).
The simple action that causes a market structure shift occurs is price breaking above or below a specific swing point. When a market structure shift happens, a retracement is drawn from the point of break to the highest or lowest point since that point. Due to the price action necessary for a market structure shift, these retracements will not always be immediately actionable.
These retracement levels are intended to be used as points to watch for price to retrace to and bounce from, confirming the current direction of price.
In the example below, after the retracement is initiated, by bouncing off of the retracement levels formed from the previous market structure shift it would further confirm the bias of the market structure shift. A break going through these levels would display a weakness from the current market structure shift, implying that it could simply be noise.
🔶 DETAILS
The script uses standard SMC Market structure identification to determine Break of Structures (BOS) and Change of Characters (CHoCH). The specific swing points can be identified by the shapes placed above or below the specific swing high/low candle.
By unchecking the "Display All Zones" setting, users are able to specify the exact number of retracement zones to display using the "Show Last" parameter. This is handy for cleaning up the chart to stay focused on the most recent retracements.
Additionally, when displaying multiple zones, the "Clean-Up Level Overlap" setting may be helpful for decluttering as well. This option optimizes the display of retracement levels to minimize their overlap on other adjacent zones.
The script allows for up to 5 Fib levels to be displayed from each zone, with options for display, value, line style, and color for each of the 5.
The calculation for Fib Levels changes depending on the direction of market structure shifts. When an upwards (Bullish) zone is generated, the retracement is drawn with the bottom of the zone being 0 and the top of the zone being 1. This is reversed for downwards (Bearish) zones.
🔶 SETTINGS
Structure Length: Sets the SMC structure length to use for finding MMS.
Show Last: Displays this number of retracement zones. (Display All Zones Must be Unchecked)
Display All Zones: Ignores "Show Last" number and displays all historical MMS Retracement Zones.
Zone Display: Choose which zones to display, only bearish, only bullish, or both.
Clean-Up Level Overlap: Minimizes overlap between adjacent zones and levels.
Fib Levels: Settings to display and customize up to 5 Fib levels for each zone.
EHRHART Algo Premium (V.2)EHRHART Algo Premium is a indicator designed to help traders analyze market flow. It work with multiple EMA for identifying the sentiment of market. It's very simple calculation but it's a good help for people who use price action. I think the visual of the chart is very important and and I wanted to create an indicator very visual. I'm price action lover like lots of people and I personally think it's very important to identify the flow of market because buying when the flow of market is up give you better chance to win your trade. It's not BUY and SELL signal, this indicator don't tell u when u need buy or when u need sell, it's principally here for helping the visual of trading chart (have a good clear chart). I decided to post this indicator because people were asking me how it worked and were curious about these colors, so here we go !
This indicator show:
The main flow ( green candle=buy pressure /red candle=seller pressure ), it's based on two EMA cross over, this two EMA are editable so u can take the combination you want depending on your trading strategy. When the first EMA is above the second EMA candle becoming green and when the second EMA is above the first EMA candle becoming red.
The trend of two EMA crossover (blue=bullish and violet=bearish), it's based on two EMA (two different than main flow) cross over, this two EMA are editable so u can take the combination you want depending on your trading strategy. When the first EMA is above the second EMA the trend becoming blue and when the second EMA is above the first EMA the trend becoming violet.
Potential trend reversals (violet candle), it's calculate with the two EMA of the main flow, when these two EMA becoming closer, the candle becoming violet. It meaning that the trend may reversals. I added sensitivity parameter, so u can adjust it depending on your trading strategy, the more sensitive it is, the more candle will be colored violet.
A system of RSI print on the chart, when the RSI becoming overbought (more than 75) a red triangle will pop up on the chart, and when the RSI becoming oversold (less than 25) a green triangle will pop up on the chart. U can show or hidden these setting.
Bullish candles are represented by hollow candles.
Bearish candles are represented by full candles.
You can use this indicator with multiple strategy, I personally use it with price action (support/resistance) and I made it for that (but it's your choice).
This is an example of how I'll use it:
Here we can see that the price is coming testing our weakly support, however the main flow is bullish (red candle), so I'm waiting my first signal (violet candle). When the first candle passed violet I decided to enter the trade because violet candle after red candle means that the two EMA start closed to themselves meaning that's the flow may turn green. My second signal will be candle passed green, because it meaning the two EMA start deviate from themselves, buyer are taking advantage. In this situation a green triangle on the support will be my third signal.
Candlestick Patterns [NAS Algo]Candlestick Patterns plots most commonly used chart patterns to help and understand the market structure.
Bullish Reversal Patterns:
Hammer:
Appearance: Small body near the high, long lower shadow.
Interpretation: Indicates potential bullish reversal after a downtrend.
Inverted Hammer:
Appearance: Small body near the low, long upper shadow.
Interpretation: Signals potential bullish reversal, especially when the preceding trend is bearish.
Three White Soldiers:
Appearance: Three consecutive long bullish candles with higher closes.
Interpretation: Suggests a strong reversal of a downtrend.
Bullish Harami:
Appearance: Small candle (body) within the range of the previous large bearish candle.
Interpretation: Implies potential bullish reversal.
Bearish Reversal Patterns:
Hanging Man:
Appearance: Small body near the high, long lower shadow.
Interpretation: Suggests potential bearish reversal after an uptrend.
Shooting Star:
Appearance: Small body near the low, long upper shadow.
Interpretation: Indicates potential bearish reversal, especially after an uptrend.
Three Black Crows:
Appearance: Three consecutive long bearish candles with lower closes.
Interpretation: Signals a strong reversal of an uptrend.
Bearish Harami:
Appearance: Small candle (body) within the range of the previous large bullish candle.
Interpretation: Implies potential bearish reversal.
Dark Cloud Cover:
Appearance: Bearish reversal pattern where a bullish candle is followed by a bearish candle that opens above the high of the previous candle and closes below its midpoint.
Continuation Patterns:
Rising Three Methods:
Appearance: Consists of a long bullish candle followed by three small bearish candles and another bullish candle.
Interpretation: Indicates the continuation of an uptrend.
Falling Three Methods:
Appearance: Consists of a long bearish candle followed by three small bullish candles and another bearish candle.
Interpretation: Suggests the continuation of a downtrend.
Gravestone Doji:
Appearance: Doji candle with a long upper shadow, little or no lower shadow, and an opening/closing price near the low.
Interpretation: Signals potential reversal, particularly in an uptrend.
Long-Legged Doji:
Appearance: Doji with long upper and lower shadows and a small real body.
Interpretation: Indicates indecision in the market and potential reversal.
Dragonfly Doji:
Appearance: Doji with a long lower shadow and little or no upper shadow.
Interpretation: Suggests potential reversal, especially in a downtrend.
ICT Clean Midnight [dR-Algo]
Are you a trader who values clean charts and precise indicators? Are you an avid follower of ICT Concepts? If so, the Midnight Marker is tailored for you. This ultra-simple, highly effective TradingView script draws a nearly transparent blue line at midnight on your chart, keeping your interface as clean as possible while delivering essential information.
Why is "ICT Clean Midnight" so Special?
Focus on Price Action: The minimalist design ensures that you can focus solely on price action, which is a core principle of ICT teachings.
Easy Back Testing: Whether you're trading live or back-testing strategies, the midnight marker helps you quickly identify key time points.
Customizable: Though designed to be subtle, the line's color and opacity can be easily customized to suit your charting needs.
This indicator embodies ICT's principle of maintaining a clutter-free, focus-driven trading environment. Perfect for both novice traders wanting to adopt ICT concepts and seasoned traders looking for minimalistic yet effective tools.
Bjorgum Double Tap█ OVERVIEW
Double Tap is a pattern recognition script aimed at detecting Double Tops and Double Bottoms. Double Tap can be applied to the broker emulator to observe historical results, run as a trading bot for live trade alerts in real time with entry signals, take profit, and stop orders, or to simply detect patterns.
█ CONCEPTS
How Is A Pattern Defined?
Doubles are technical formations that are both reversal patterns and breakout patterns. These formations typically have a distinctive “M” or a “W” shape with price action breaking beyond the neckline formed by the center of the pattern. They can be recognized when a pivot fails to break when tested for a second time and the retracement that follows breaks beyond the key level opposite. This can trap entrants that were playing in the direction of the prior trend. Entries are made on the breakout with a target projected beyond the neckline equal to the height of the pattern.
Pattern Recognition
Patterns are recognized through the use of zig-zag; a method of filtering price action by connecting swing highs and lows in an alternating fashion to establish trend, support and resistance, or derive shapes from price action. The script looks for the highest or lowest point in a given number of bars and updates a list with the values as they form. If the levels are exceeded, the values are updated. If the direction changes and a new significant point is made, a new point is added to the list and the process starts again. Meanwhile, we scan the list of values looking for the distinctive shape to form as previously described.
█ STRATEGY RESULTS
Back Testing
Historical back testing is the most common method to test a strategy due in part to the general ease of gathering quick results. The underlying theory is that any strategy that worked well in the past is likely to work well in the future, and conversely, any strategy that performed poorly in the past is likely to perform poorly in the future. It is easy to poke holes in this theory, however, as for one to accept it as gospel, one would have to assume that future results will match what has come to pass. The randomness of markets may see to it otherwise, so it is important to scrutinize results. Some commonly used methods are to compare to other markets or benchmarks, perform statistical analysis on the results over many iterations and on differing datasets, walk-forward testing, out-of-sample analysis, or a variety of other techniques. There are many ways to interpret the results, so it is important to do research and gain knowledge in the field prior to taking meaningful conclusions from them.
👉 In short, it would be naive to place trust in one good backtest and expect positive results to continue. For this reason, results have been omitted from this publication.
Repainting
Repainting is simply the difference in behaviour of a strategy in real time vs the results calculated on the historical dataset. The strategy, by default, will wait for confirmed signals and is thus designed to not repaint. Waiting for bar close for entires aligns results in the real time data feed to those calculated on historical bars, which contain far less data. By doing this we align the behaviour of the strategy on the 2 data types, which brings significance to the calculated results. To override this behaviour and introduce repainting one can select "Recalculate on every tick" from the properties tab. It is important to note that by doing this alerts may not align with results seen in the strategy tester when the chart is reloaded, and thus to do so is to forgo backtesting and restricts a strategy to forward testing only.
👉 It is possible to use this script as an indicator as opposed to a full strategy by disabling "Use Strategy" in the "Inputs" tab. Basic alerts for detection will be sent when patterns are detected as opposed to complex order syntax. For alerts mid-bar enable "Recalculate on every tick" , and for confirmed signals ensure it is disabled.
█ EXIT ORDERS
Limit and Stop Orders
By default, the strategy will place a stop loss at the invalidation point of the pattern. This point is beyond the pattern high in the case of Double Tops, or beneath the pattern low in the case of Double Bottoms. The target or take profit point is an equal-legs measurement, or 100% of the pattern height in the direction of the pattern bias. Both the stop and the limit level can be adjusted from the user menu as a percentage of the pattern height.
Trailing Stops
Optional from the menu is the implementation of an ATR based trailing stop. The trailing stop is designed to begin when the target projection is reached. From there, the script looks back a user-defined number of bars for the highest or lowest point +/- the ATR value. For tighter stops the user can look back a lesser number of bars, or decrease the ATR multiple. When using either Alertatron or Trading Connector, each change in the trail value will trigger an alert to update the stop order on the exchange to reflect the new trail price. This reduces latency and slippage that can occur when relying on alerts only as real exchange orders fill faster and remain in place in the event of a disruption in communication between your strategy and the exchange, which ensures a higher level of safety.
👉 It is important to note that in the case the trailing stop is enabled, limit orders are excluded from the exit criteria. Rather, the point in time that the limit value is exceeded is the point that the trail begins. As such, this method will exit by stop loss only.
█ ALERTS
Five Built-in 3rd Party Destinations
The following are five options for delivering alerts from Double Tap to live trade execution via third party API solutions or chat bots to share your trades on social media. These destinations can be selected from the input menu and alert syntax will automatically configure in alerts appropriately to manage trades.
Custom JSON
JSON, or JavaScript Object Notation, is a readable format for structuring data. It is used primarily to transmit data between a server and a web application. In regards to this script, this may be a custom intermediary web application designed to catch alerts and interface with an exchange API. The JSON message is a trade map for an application to read equipped with where its been, where its going, targets, stops, quantity; a full diagnostic of the current state and its previous state. A web application could be configured to follow the messages sent in this format and conduct trades in sync with alerts running on the TV server.
Below is an example of a rendered JSON alert:
{
"passphrase": "1234",
"time": "2022-05-01T17:50:05Z",
"ticker": "ETHUSDTPERP",
"plot": {
"stop_price": 2600.15,
"limit_price": 3100.45
},
"strategy": {
"position_size": 0.1,
"order_action": "buy",
"market_position": "long",
"market_position_size": 0,
"prev_market_position": "flat",
"prev_market_position_size": 0
}
}
Trading Connector
Trading Connector is a third party fully autonomous Chrome extension designed to catch alert webhooks from TradingView and interface with MT4/MT5 to execute live trades from your machine. Alerts to Trading Connector are simple; just select the destination from the input drop down menu, set your ticker in the "TC Ticker" box in the "Alert Strings" section and enter your URL in the alert window when configuring your alert.
Alertatron
Alertatron is an automated algo platform for cryptocurrency trading that is designed to automate your trading strategies. Although the platform is currently restricted to crypto, it offers a versatile interface with high flexibility syntax for complex market orders and conditions. To direct alerts to Alertatron, select the platform from the 3rd party drop down, configure your API key in the ”Alertatron Key” box and add your URL in the alert message box when making alerts.
3 Commas
3 Commas is an easy and quick to use click-and-go third party crypto API solution. Alerts are simple without overly complex syntax. Messages are simply pasted into alerts and executed as alerts are triggered. There are 4 boxes at the bottom of the "Inputs" tab where the appropriate messages to be placed. These messages can be copied from 3 Commas after the bots are set up and pasted directly into the settings menu. Remember to select 3 Commas as a destination from the third party drop down and place the appropriate URL in the alert message window.
Discord
Some may wish to share their trades with their friends in a Discord chat via webhook chat bot. Messages are configured to notify of the pattern type with targets and stop values. A bot can be configured through the integration menu in a Discord chat to which you have appropriate access. Select Discord from the 3rd party drop down menu and place your chat bot URL in the alert message window when configuring alerts.
👉 For further information regarding alert setup, refer to the platform specific instructions given by the chosen third party provider.
█ IMPORTANT NOTES
Setting Alerts
For alert messages to be properly delivered on order fills it is necessary to place the following placeholder in the alert message box when creating an alert.
{{strategy.order.alert_message}}
This placeholder will auto-populate the alert message with the appropriate syntax that is designated for the 3rd party selected in the user menu.
Order Sizing and Commissions
The values that are sent in alert messages are populated from live metrics calculated by the strategy. This means that the actual values in the "Properties" tab are used and must be set by the user. The initial capital, order size, commission, etc. are all used in the calculations, so it is important to set these prior to executing live trades. Be sure to set the commission to the values used by the exchange as well.
👉 It is important to understand that the calculations on the account size take place from the beginning of the price history of the strategy. This means that if historical results have inflated or depleted the account size from the beginning of trade history until now, the values sent in alerts will reflect the calculated size based on the inputs in the "Properties" tab. To start fresh, the user must set the date in the "Inputs" tab to the current date as to remove trades from the trade history. Failure to follow this instruction can result in an unexpected order size being sent in the alert.
█ FOR PINECODERS
• With the recent introduction of matrices in Pine, the script utilizes a matrix to track pivot points with the bars they occurred on, while tracking if that pivot has been traded against to prevent duplicate detections after a trade is exited.
• Alert messages are populated with placeholders ; capability that previously was only possible in alertcondition() , but has recently been extended to `strategy.*()` functions for use in the `alert_message` argument. This allows delivery of live trade values to populate in strategy alert messages.
• New arguments have been added to strategy.exit() , which allow differentiated messages to be sent based on whether the exit occurred at the stop or the limit. The new arguments used in this script are `alert_profit` and `alert_loss` to send messages to Discord
Bittrex ALT Index v0.0.3 @PEQUET - Trex Shalts by FA Algo Scoreusing the top 10 FA algo names via coincheckup.com
Absolute Momentum Indicator Covered intensevely by Gary Antonnacci in his paper " Absolute Momentum : A simple Rule Based Strategy and Universal Trend Following Overlay , Absolute momentum buys asset with excess return, which is calculated by taking the return of the asset for a giving period of time LESS the Treasury bill rate . The following indicator is based on the rules found in the paper. However you have the liberty to choose your time frame and symbol to calculate the excess return .
Read more about this indicator here
Cheers
AK_ TREND ID AS A STRATEGY : FOR EDUCATIONAL PURPOSES ONLYJust converted the AK_ TREND ID into a strategy , to show the efficiency of this simple indicator. I used SPX in this example, to display that the indicator has been accurate for a long time.
Historical AverageThis indicator calculates the sum of all past candles for each new candle.
For the second candle of the chart, the indicator shows the average of the first two candles. For the 10th candle, it's the average of the last ten candles.
Simple Moving Averages (SMAa) calculate the average of a specific timeframe (e.g. SMA200 for the last 200 candles). The historical moving average is an SMA 2 at the second candle, an SMA3 for the third candle, an SMA10 for the tenth, an SMA200 for the 200th candle etc.
Settings:
You can set the multiplier to move the Historical Moving Average along the price axis.
You can show two Historical Moving Averages with different multipliers.
You can add fibonacci multipliers to the Historical Moving Average.
This indicator works best on charts with a lot of historical data.
Recommended charts:
INDEX:BTCUSD
BLX
But you can use it e.g. on DJI or any other chart as well.
Super Trend LineThe classic and simple Super Trend Line. Enjoy it and have a nice trading
Hashtag_binary ;D
ALGO 3h, 1h, 2hThis script tracks the crossing of the 10EMA on the 3h timeframe and the 200EMA on the 1h timeframe to open LONGS and SHORTS. Whether those LONGS or SHORTS actually trigger is based on the first 2 EMA's position in relation to a 3rd "controller" EMA.
[Excalibur] Ehlers AutoCorrelation Periodogram ModifiedKeep your coins folks, I don't need them, don't want them. If you wish be generous, I do hope that charitable peoples worldwide with surplus food stocks may consider stocking local food banks before stuffing monetary bank vaults, for the crusade of remedying the needs of less than fortunate children, parents, elderly, homeless veterans, and everyone else who deserves nutritional sustenance for the soul.
DEDICATION:
This script is dedicated to the memory of Nikolai Dmitriyevich Kondratiev (Никола́й Дми́триевич Кондра́тьев) as tribute for being a pioneering economist and statistician, paving the way for modern econometrics by advocation of rigorous and empirical methodologies. One of his most substantial contributions to the study of business cycle theory include a revolutionary hypothesis recognizing the existence of dynamic cycle-like phenomenon inherent to economies that are characterized by distinct phases of expansion, stagnation, recession and recovery, what we now know as "Kondratiev Waves" (K-waves). Kondratiev was one of the first economists to recognize the vital significance of applying quantitative analysis on empirical data to evaluate economic dynamics by means of statistical methods. His understanding was that conceptual models alone were insufficient to adequately interpret real-world economic conditions, and that sophisticated analysis was necessary to better comprehend the nature of trending/cycling economic behaviors. Additionally, he recognized prosperous economic cycles were predominantly driven by a combination of technological innovations and infrastructure investments that resulted in profound implications for economic growth and development.
I will mention this... nation's economies MUST be supported and defended to continuously evolve incrementally in order to flourish in perpetuity OR suffer through eras with lasting ramifications of societal stagnation and implosion.
Analogous to the realm of economics, aperiodic cycles/frequencies, both enduring and ephemeral, do exist in all facets of life, every second of every day. To name a few that any blind man can naturally see are: heartbeat (cardiac cycles), respiration rates, circadian rhythms of sleep, powerful magnetic solar cycles, seasonal cycles, lunar cycles, weather patterns, vegetative growth cycles, and ocean waves. Do not pretend for one second that these basic aforementioned examples do not affect business cycle fluctuations in minuscule and monumental ways hour to hour, day to day, season to season, year to year, and decade to decade in every nation on the planet. Kondratiev's original seminal theories in macroeconomics from nearly a century ago have proven remarkably prescient with many of his antiquated elementary observations/notions/hypotheses in macroeconomics being scholastically studied and topically researched further. Therefore, I am compelled to honor and recognize his statistical insight and foresight.
If only.. Kondratiev could hold a pocket sized computer in the cup of both hands bearing the TradingView logo and platform services, I truly believe he would be amazed in marvelous delight with a GARGANTUAN smile on his face.
INTRODUCTION:
Firstly, this is NOT technically speaking an indicator like most others. I would describe it as an advanced cycle period detector to obtain market data spectral estimates with low latency and moderate frequency resolution. Developers can take advantage of this detector by creating scripts that utilize a "Dominant Cycle Source" input to adaptively govern algorithms. Be forewarned, I would only recommend this for advanced developers, not novice code dabbling. Although, there is some Pine wizardry introduced here for novice Pine enthusiasts to witness and learn from. AI did describe the code into one super-crunched sentence as, "a rare feat of exceptionally formatted code masterfully balancing visual clarity, precision, and complexity to provide immense educational value for both programming newcomers and expert Pine coders alike."
Understand all of the above aforementioned? Buckle up and proceed for a lengthy read of verbose complexity...
This is my enhanced and heavily modified version of autocorrelation periodogram (ACP) for Pine Script v5.0. It was originally devised by the mathemagician John Ehlers for detecting dominant cycles (frequencies) in an asset's price action. I have been sitting on code similar to this for a long time, but I decided to unleash the advanced code with my fashion. Originally Ehlers released this with multiple versions, one in a 2016 TASC article and the other in his last published 2013 book "Cycle Analytics for Traders", chapter 8. He wasn't joking about "concepts of advanced technical trading" and ACP is nowhere near to his most intimidating and ingenious calculations in code. I will say the book goes into many finer details about the original periodogram, so if you wish to delve into even more elaborate info regarding Ehlers' original ACP form AND how you may adapt algorithms, you'll have to obtain one. Note to reader, comparing Ehlers' original code to my chimeric code embracing the "Power of Pine", you will notice they have little resemblance.
What you see is a new species of autocorrelation periodogram combining Ehlers' innovation with my fascinations of what ACP could be in a Pine package. One other intention of this script's code is to pay homage to Ehlers' lifelong works. Like Kondratiev, Ehlers is also a hardcore cycle enthusiast. I intend to carry on the fire Ehlers envisioned and I believe that is literally displayed here as a pleasant "fiery" example endowed with Pine. With that said, I tried to make the code as computationally efficient as possible, without going into dozens of more crazy lines of code to speed things up even more. There's also a few creative modifications I made by making alterations to the originating formulas that I felt were improvements, one of them being lag reduction. By recently questioning every single thing I thought I knew about ACP, combined with the accumulation of my current knowledge base, this is the innovative revision I came up with. I could have improved it more but decided not to mind thrash too many TV members, maybe later...
I am now confident Pine should have adequate overhead left over to attach various indicators to the dominant cycle via input.source(). TV, I apologize in advance if in the future a server cluster combusts into a raging inferno... Coders, be fully prepared to build entire algorithms from pure raw code, because not all of the built-in Pine functions fully support dynamic periods (e.g. length=ANYTHING). Many of them do, as this was requested and granted a while ago, but some functions are just inherently finicky due to implementation combinations and MUST be emulated via raw code. I would imagine some comprehensive library or numerous authored scripts have portions of raw code for Pine built-ins some where on TV if you look diligently enough.
Notice: Unfortunately, I will not provide any integration support into member's projects at all. I have my own projects that require way too much of my day already. While I was refactoring my life (forgoing many other "important" endeavors) in the early half of 2023, I primarily focused on this code over and over in my surplus time. During that same time I was working on other innovations that are far above and beyond what this code is. I hope you understand.
The best way programmatically may be to incorporate this code into your private Pine project directly, after brutal testing of course, but that may be too challenging for many in early development. Being able to see the periodogram is also beneficial, so input sourcing may be the "better" avenue to tether portions of the dominant cycle to algorithms. Unique indication being able to utilize the dominantCycle may be advantageous when tethering this script to those algorithms. The easiest way is to manually set your indicators to what ACP recognizes as the dominant cycle, but that's actually not considered dynamic real time adaption of an indicator. Different indicators may need a proportion of the dominantCycle, say half it's value, while others may need the full value of it. That's up to you to figure that out in practice. Sourcing one or more custom indicators dynamically to one detector's dominantCycle may require code like this: `int sourceDC = int(math.max(6, math.min(49, input.source(close, "Dominant Cycle Source"))))`. Keep in mind, some algos can use a float, while algos with a for loop require an integer.
I have witnessed a few attempts by talented TV members for a Pine based autocorrelation periodogram, but not in this caliber. Trust me, coding ACP is no ordinary task to accomplish in Pine and modifying it blessed with applicable improvements is even more challenging. For over 4 years, I have been slowly improving this code here and there randomly. It is beautiful just like a real flame, but... this one can still burn you! My mind was fried to charcoal black a few times wrestling with it in the distant past. My very first attempt at translating ACP was a month long endeavor because PSv3 simply didn't have arrays back then. Anyways, this is ACP with a newer engine, I hope you enjoy it. Any TV subscriber can utilize this code as they please. If you are capable of sufficiently using it properly, please use it wisely with intended good will. That is all I beg of you.
Lastly, you now see how I have rasterized my Pine with Ehlers' swami-like tech. Yep, this whole time I have been using hline() since PSv3, not plot(). Evidently, plot() still has a deficiency limited to only 32 plots when it comes to creating intense eye candy indicators, the last I checked. The use of hline() is the optimal choice for rasterizing Ehlers styled heatmaps. This does only contain two color schemes of the many I have formerly created, but that's all that is essentially needed for this gizmo. Anything else is generally for a spectacle or seeing how brutal Pine can be color treated. The real hurdle is being able to manipulate colors dynamically with Merlin like capabilities from multiple algo results. That's the true challenging part of these heatmap contraptions to obtain multi-colored "predator vision" level indication. You now have basic hline() food for thought empowerment to wield as you can imaginatively dream in Pine projects.
PERIODOGRAM UTILITY IN REAL WORLD SCENARIOS:
This code is a testament to the abilities that have yet to be fully realized with indication advancements. Periodograms, spectrograms, and heatmaps are a powerful tool with real-world applications in various fields such as financial markets, electrical engineering, astronomy, seismology, and neuro/medical applications. For instance, among these diverse fields, it may help traders and investors identify market cycles/periodicities in financial markets, support engineers in optimizing electrical or acoustic systems, aid astronomers in understanding celestial object attributes, assist seismologists with predicting earthquake risks, help medical researchers with neurological disorder identification, and detection of asymptomatic cardiovascular clotting in the vaxxed via full body thermography. In either field of study, technologies in likeness to periodograms may very well provide us with a better sliver of analysis beyond what was ever formerly invented. Periodograms can identify dominant cycles and frequency components in data, which may provide valuable insights and possibly provide better-informed decisions. By utilizing periodograms within aspects of market analytics, individuals and organizations can potentially refrain from making blinded decisions and leverage data-driven insights instead.
PERIODOGRAM INTERPRETATION:
The periodogram renders the power spectrum of a signal, with the y-axis representing the periodicity (frequencies/wavelengths) and the x-axis representing time. The y-axis is divided into periods, with each elevation representing a period. In this periodogram, the y-axis ranges from 6 at the very bottom to 49 at the top, with intermediate values in between, all indicating the power of the corresponding frequency component by color. The higher the position occurs on the y-axis, the longer the period or lower the frequency. The x-axis of the periodogram represents time and is divided into equal intervals, with each vertical column on the axis corresponding to the time interval when the signal was measured. The most recent values/colors are on the right side.
The intensity of the colors on the periodogram indicate the power level of the corresponding frequency or period. The fire color scheme is distinctly like the heat intensity from any casual flame witnessed in a small fire from a lighter, match, or camp fire. The most intense power would be indicated by the brightest of yellow, while the lowest power would be indicated by the darkest shade of red or just black. By analyzing the pattern of colors across different periods, one may gain insights into the dominant frequency components of the signal and visually identify recurring cycles/patterns of periodicity.
SETTINGS CONFIGURATIONS BRIEFLY EXPLAINED:
Source Options: These settings allow you to choose the data source for the analysis. Using the `Source` selection, you may tether to additional data streams (e.g. close, hlcc4, hl2), which also may include samples from any other indicator. For example, this could be my "Chirped Sine Wave Generator" script found in my member profile. By using the `SineWave` selection, you may analyze a theoretical sinusoidal wave with a user-defined period, something already incorporated into the code. The `SineWave` will be displayed over top of the periodogram.
Roofing Filter Options: These inputs control the range of the passband for ACP to analyze. Ehlers had two versions of his highpass filters for his releases, so I included an option for you to see the obvious difference when performing a comparison of both. You may choose between 1st and 2nd order high-pass filters.
Spectral Controls: These settings control the core functionality of the spectral analysis results. You can adjust the autocorrelation lag, adjust the level of smoothing for Fourier coefficients, and control the contrast/behavior of the heatmap displaying the power spectra. I provided two color schemes by checking or unchecking a checkbox.
Dominant Cycle Options: These settings allow you to customize the various types of dominant cycle values. You can choose between floating-point and integer values, and select the rounding method used to derive the final dominantCycle values. Also, you may control the level of smoothing applied to the dominant cycle values.
DOMINANT CYCLE VALUE SELECTIONS:
External to the acs() function, the code takes a dominant cycle value returned from acs() and changes its numeric form based on a specified type and form chosen within the indicator settings. The dominant cycle value can be represented as an integer or a decimal number, depending on the attached algorithm's requirements. For example, FIR filters will require an integer while many IIR filters can use a float. The float forms can be either rounded, smoothed, or floored. If the resulting value is desired to be an integer, it can be rounded up/down or just be in an integer form, depending on how your algorithm may utilize it.
AUTOCORRELATION SPECTRUM FUNCTION BASICALLY EXPLAINED:
In the beginning of the acs() code, the population of caches for precalculated angular frequency factors and smoothing coefficients occur. By precalculating these factors/coefs only once and then storing them in an array, the indicator can save time and computational resources when performing subsequent calculations that require them later.
In the following code block, the "Calculate AutoCorrelations" is calculated for each period within the passband width. The calculation involves numerous summations of values extracted from the roofing filter. Finally, a correlation values array is populated with the resulting values, which are normalized correlation coefficients.
Moving on to the next block of code, labeled "Decompose Fourier Components", Fourier decomposition is performed on the autocorrelation coefficients. It iterates this time through the applicable period range of 6 to 49, calculating the real and imaginary parts of the Fourier components. Frequencies 6 to 49 are the primary focus of interest for this periodogram. Using the precalculated angular frequency factors, the resulting real and imaginary parts are then utilized to calculate the spectral Fourier components, which are stored in an array for later use.
The next section of code smooths the noise ridden Fourier components between the periods of 6 and 49 with a selected filter. This species also employs numerous SuperSmoothers to condition noisy Fourier components. One of the big differences is Ehlers' versions used basic EMAs in this section of code. I decided to add SuperSmoothers.
The final sections of the acs() code determines the peak power component for normalization and then computes the dominant cycle period from the smoothed Fourier components. It first identifies a single spectral component with the highest power value and then assigns it as the peak power. Next, it normalizes the spectral components using the peak power value as a denominator. It then calculates the average dominant cycle period from the normalized spectral components using Ehlers' "Center of Gravity" calculation. Finally, the function returns the dominant cycle period along with the normalized spectral components for later external use to plot the periodogram.
POST SCRIPT:
Concluding, I have to acknowledge a newly found analyst for assistance that I couldn't receive from anywhere else. For one, Claude doesn't know much about Pine, is unfortunately color blind, and can't even see the Pine reference, but it was able to intuitively shred my code with laser precise realizations. Not only that, formulating and reformulating my description needed crucial finesse applied to it, and I couldn't have provided what you have read here without that artificial insight. Finding the right order of words to convey the complexity of ACP and the elaborate accompanying content was a daunting task. No code in my life has ever absorbed so much time and hard fricking work, than what you witness here, an ACP gem cut pristinely. I'm unveiling my version of ACP for an empowering cause, in the hopes a future global army of code wielders will tether it to highly functional computational contraptions they might possess. Here is ACP fully blessed poetically with the "Power of Pine" in sublime code. ENJOY!
