Math RoundHello Reader,
This is Observer from Vietnam.
PURPOSE
I'd like to share my script for Round Math, it's for only education purpose.
I make the formula math_row(x, y) to round the value as we design and shorten the number appearance (value). It's more flexible than str.tostring(close,format.volume) or others.
HOW TO USE
Formula math_row(x,y)
- x is the value which need to be rounded or shorten
- y is the number which you want to round after "." symbol.
***Shorten***
If x < 1.000, no shorten
If x >= 1.000 and x < 1.000.000, shorten to thousand value with "K" letter
If x >= 1.000.000 and x < 1.000.000.000, shorten to million value with "M" letter
If x >= 1.000.000.000, shorten to billion value with "B" letter
***Round***
If y = 0 => no round
If y = 1 => round to format ###.#
If y = 2 => round to format ###.##
If y = 3 => round to format ###.###
If y is other => round to default format of Tradingview
EXAMPLE
math_row(1.002342, 3) = 1.002
math_row(1923.321, 2) = 1.92K
math_row(221452133, 1) = 221.5M
Hope it useful and clear to you.
Number
MathComplexNumbersThis is a Pine Script library for handling complex numbers without arrays. It contains several utility functions for performing various operations on complex numbers, including converting complex numbers into tuples, getting the real and imaginary parts of a complex number, adding and subtracting complex numbers, computing the conjugate, multiplying and dividing complex numbers, computing the reciprocal, the inverse, the negative, the exponential, the ceil and the radius of a complex number.
The library exports a complex data type which consists of two float values: re, the real part of the complex number, and im, the imaginary part of the complex number.
The complex_tuple function and ct function convert a complex number into a tuple, and the get_real, get_imaginary, re, and im functions return the real and imaginary parts of a complex number.
The add and subtract functions add and subtract two complex numbers, respectively, by performing the appropriate arithmetic operations on their real and imaginary parts. The conjugate function returns the complex conjugate of a given complex number, which is the same as the original number but with the sign of its imaginary part reversed. The multiply and divide functions multiply and divide two complex numbers, respectively, according to the rules of complex arithmetic. The reciprocal function computes the reciprocal or inverse of a given complex number, while the inverse function computes the inverse of a given complex number. The negative function returns the negative of a given complex number, and the exponential function computes the exponential of a given complex number. The ceil function rounds a given complex number up to a specified number of digits. The radius function computes the radius (magnitude) of a given complex number, which is defined as its distance from the origin (0,0) of the complex plane.
Prime, E & PI Superiority CyclesIf you have been studying the markets long enough you will probably have noticed a certain pattern. Whichever trade entry/exit logic you try to use, it will go through phases of working really well and phases where it doesn't work at all. This is the markets way of ensuring anyone who sticks to an oversimplified, one-dimensional strategy will not profit. Superiority cycles are a method I devised by which code interrogates the nature of where price has been pivoting in relation to three key structures, the Prime Frame, E Frame and Pi Frame which are plotted as horizontal lines at these values:
* Use script on 1 minute chart ONLY
prime numbers up to 100: 2.0,3.0,5.0,7.0,11.0,13.0,17.0,19.0,23.0,27.0,29.0,31.0,37.0,41.0,43.0,47.0,53.0,59.0,61.0,67.0,71.0,73.0,79.0,83.0,89.0,97.0
multiples of e up to 100: 2.71828, 5.43656, 8.15484, 10.87312, 13.5914, 16.30968, 19.02796, 21.74624, 24.46452, 27.1828, 29.90108, 32.61936, 35.33764,
38.05592, 40.7742, 43.49248, 46.21076, 48.92904, 51.64732, 54.3656, 57.08388, 59.80216, 62.52044, 65.23872, 67.957, 70.67528, 73.39356000000001, 76.11184,
78.83012, 81.5484, 84.26668000000001, 86.98496, 89.70324, 92.42152, 95.13980000000001, 97.85808
multiples of pi up to 100: 3.14159, 6.28318, 9.424769999999999, 12.56636, 15.70795, 18.849539999999998, 21.99113, 25.13272, 28.27431, 31.4159, 34.55749,
37.699079999999995, 40.840669999999996, 43.98226, 47.12385, 50.26544, 53.40703, 56.54862, 59.69021, 62.8318, 65.97339, 69.11498, 72.25657, 75.39815999999999,
78.53975, 81.68133999999999, 84.82293, 87.96452, 91.10611, 94.2477, 97.38929
These values are iterated up the chart as seen below:
The script sums the distance of pivots to each of the respective frames (olive lines for Prime Frame, green lines for E Frame and maroon lines for Pi Frame) and determines which frame price has been reacting to in the least significant way. The worst performing frame is the next frame we target reversals at. The table in the bottom right will light up a color that corresponds to the frame color we should target.
Here is an example of Prime Superiority, where we prioritize trading from prime levels:
The table and the background color are both olive which means target prime levels. In an ideal world strong moves should start and finish where the white flags are placed i.e. in this case $17k and $19k. The reason these levels are 17,000 and 19,000 and not just 17 and 19 like in the original prime number sequence is due to the scaling code in the get_scale_func() which allows the code to operate on all assets.
This is E Superiority where we would hope to see major reversals at green lines:
This is Pi Superiority where we would hope to see major reversals at maroon lines:
And finally I would like to show you a market moving from one superiority to another. This can be observed by the bgcolor which tells us what the superiority was at every historical minute
Pi Frame Superiority into E Frame Superiority example:
Prime Frame Superiority into E Frame Superiority example:
Prime Frame Superiority into Pi Frame Superiority example:
By rotating the analysis we use to enter trades in this way we hope to hide our strategy better from market makers and artificial intelligence, and overall make greater profits.
How To Identify Argument Type Of Number Using OverloadsExample overload functions accept loading of _value for types float, int, or string, then positively identifies the actual argument type of that specific loaded _value.
How To Identify Type Of NumberExample function accepts loading of _value for types float, int, or string, then identifies whether the loaded _value is a string number, string, or number.
Number FrameNumber frame for any number input between 0 - 10, to 5 decimal places (you can change these limits in the code).
Default value pi = 3.14159
Combo Backtest 123 Reversal & Prime Number Oscillator This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
Determining market trends has become a science even though a high number or people
still believe it’s a gambling game. Mathematicians, technicians, brokers and investors
have worked together in developing quite several indicators to help them better understand
and forecast market movements.
Developed by Modulus Financial Engineering Inc., the prime number oscillator indicates the
nearest prime number, be it at the top or the bottom of the series, and outlines the
difference between that prime number and the respective series.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & Prime Number Bands This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
Determining market trends has become a science even though a high number
or people still believe it’s a gambling game. Mathematicians, technicians,
brokers and investors have worked together in developing quite several
indicators to help them better understand and forecast market movements.
The Prime Number Bands indicator was developed by Modulus Financial Engineering
Inc. This indicator is charted by indentifying the highest and lowest prime number
in the neighborhood and plotting the two series as a band.
WARNING:
- For purpose educate only
- This script to change bars colors.
Rule Number 1 Signals [ALERTS]Alerts version of rule number 1 signals, a long-only strategy for long term investors to help them enter positions more optimally
Rolling deviationsSometimes the market data follows normal distribution, in these cases it is more appropriate to utilize mean-based statistical techniques. This script plots the special case of seven-number summary with 1st, 2nd & 3rd standard deviations below and above the mean.
It also has "Log-space" switch which should be checked while using logarithmic scale.
The next version with minor visual improvs might arrive soon
Rolling summaryStatistical methods based on mean cannot be effective all the time when attributed to financial data since it doesn't usually follow normal distribution, the data can be skewed or/and have extreme values which can be described as outliers.
In order to deal with this problem it is appropriate to use median-based techniques.
The most common one is called five-number summary/box plot, which plots median of the dataset, 25th (Q1) & 75th (Q3) percentiles (the medians of lower & upper parts of the original dataset divided by the original median), and whiskers calculated by taking range between Q1 and Q3, multiplying it by 1.5 and adding it to Q3 and subtracting it from Q1. The values which are outside the whiskers are considered outliers. Default settings of the script correspond to the classic box plot.
Seven-number summary can be also plotted by this script, by turning on 4 additional percentiles/Bowley’s seven-figure summary by turning on first 2 additional percentiles and changing their values to 10 and 90 respectively.
P.S.: Mean can be also turned in just to check the difference.
Pseudo-Random Number Generators via Pine ScriptThese are my "Pseudo-Random Number Generators via Pine Script", having uniform distribution between 0 and 1. In my quest for sequential pseudo-random numbers in Pine, tinkering with mathematical chaos, I have come up with these three simple yet handy generators. I believe these may be useful in the future by developers of the Tradingview community.
NOTICE: Use it as you please, this is free code to implement into your new Pine projects. You don't have to ask for my permission to reuse these functions in your published scripts, simply because I have better things to do than answer requests for the reuse of these simplistic PRNG functions. I don't require accreditation for members to reuse these functions either. I simply don't want any credit. I only require that you respectfully put it to "good and proper use" complimenting the elaborate script you have in mind. I would however like to see some great ideas utilizing these when I randomly and accidentally come across them in the public library. I didn't know where to put this script, so I just tossed it into the "Trend Analysis" category.
The comments section below is solely just for commenting and other remarks, ideas, compliments, etc... regarding only this indicator, not others. When available time provides itself, I will consider your inquiries, thoughts, and concepts presented below in the comments section, should you have any questions or comments regarding this indicator. When my indicators achieve more prevalent use by TV members, I may implement more ideas when they present themselves as worthy additions. As always, "Like" it if you simply just like it with a proper thumbs up, and also return to my scripts list occasionally for additional postings. Have a profitable future everyone!
Number of digits before and after the decimal point - FunctionFunction - Number of digits before and after the decimal point
Detect the number of digits in integers and floats, before the decimal and after it.
It also works for negative numbers.
There are some rounding issues, but the currently maximum supported number can have safely up to 3 digits after the decimal point.
Rule Number 1 SignalsThis script takes the Rule #1 3 tools and plots them on the graph, to provide an additional level of indication for when to sell and when to buy.
Prime Fib AvgsHey all,
Just thought some might find it useful to have a script of the first 7 numbers that are both fibonacci and that are prime numbers as simple moving averages and as exponential averages.
If anyone wants any other average type added to this script I can put out another version
Happy trading,
Snoop