X

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Library "X"
a collection of 'special' methods/functions ('special' at the time of conception)
Initial functions includes:
• count of a given number in a given array
• array.get() but option added to use negative index
• sum of all digits until the output < 10
• slope/angle calculation of lines

method count_num_in_array(arr, num)
  counts how many times a given number is present in a given array (0 when not present)
  Namespace types: int[]
  Parameters:
    arr (int[]): Array (int, float[])
    num (int): Number that needs to be counted (int, float)
  Returns: count of number in array (0 when not present)

method count_num_in_array(arr, num)
  Namespace types: float[]
  Parameters:
    arr (float[])
    num (float)

method get_(arr, idx)
  array.get() but you can use negative index (-1 is last of array, -2 is second last,...)
  Namespace types: int[]
  Parameters:
    arr (int[]): Array (int, float, string, bool, label, line, box, color[])
    idx (int): Index
  Returns: value/object at index, 'na' if index is outside array

method get_(arr, idx)
  Namespace types: float[]
  Parameters:
    arr (float[])
    idx (int)

method get_(arr, idx)
  Namespace types: string[]
  Parameters:
    arr (string[])
    idx (int)

method get_(arr, idx)
  Namespace types: bool[]
  Parameters:
    arr (bool[])
    idx (int)

method get_(arr, idx)
  Namespace types: label[]
  Parameters:
    arr (label[])
    idx (int)

method get_(arr, idx)
  Namespace types: line[]
  Parameters:
    arr (line[])
    idx (int)

method get_(arr, idx)
  Namespace types: box[]
  Parameters:
    arr (box[])
    idx (int)

method get_(arr, idx)
  Namespace types: color[]
  Parameters:
    arr (color[])
    idx (int)

method sumAllNumbers_till_under_10(num)
  sums all separate digit numbers, it repeats the process until sum < 10
  Namespace types: series int, simple int, input int, const int
  Parameters:
    num (int): Number (int, float)
  Returns: value between 0 and 9

method sumAllNumbers_till_under_10(num)
  Namespace types: series float, simple float, input float, const float
  Parameters:
    num (float)

method XYaxis(width)
  Global function to calculate Yaxis, which is used in calculate_slope() method
  Namespace types: series int, simple int, input int, const int
  Parameters:
    width (int): Amount of bars for reference X-axis
  Returns: Yaxis

method calculate_slope(width, XYratio, Yaxis, x1, y1, x2, y2)
  Returns a normalised slope
  Namespace types: series int, simple int, input int, const int
  Parameters:
    width (int): Amount of bars to calculate height
    XYratio (float): Ratio to calculate height (from width) normalised_slope calculation
    Yaxis (float): Y-axis from XYaxis() method
    x1 (int): x1 of line
    y1 (float): y1 of line
    x2 (int): x2 of line
    y2 (float): y2 of line
  Returns: Tuple of [slope, angle] -> slope = price difference per bar

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v2

Update -> examples

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v3

DETAILS:

count_num_in_array()
Typically, we use loops for counting how many values an array contains. With count_num_in_array(), we don't use a loop, but the build-in functions array.sort(), array.includes(), array.lastindexof() and array.indexof()
This should give us better performance due to using less loops
-> Seen on chart at right label: 4 is x times in array -> 2, from array (3, 4, 3, 0, 1 , 2, 3, 4)

get_()
array.get() can only be used with a positive index, indexes as -1, -2, ... are not allowed.
For the ones who want to, the get_() function is able to use negative indexes
-> Seen on chart at right label: array.get(-3) -> 2, from array (3, 4, 3, 0, 1 , 2, 3, 4)

sumAllNumbers_till_under_10()
There are people who believe in the power of certain numbers between 0 and 9, they count every digit until they end up with a number between 0 and 9
For example -> count every digit of 123456 -> 1+2+3+4+5+6 = 21, if the sum is higher then 9, repeat -> 2+1 = 3
It was not so easy to create a function which uses as less string manipulation as possible (more string manupulation is greater risk for memory errors)
I finally ended up with sumAllNumbers_till_under_10()
-> Seen on chart at right label: Sum digits of close price until number < 10.


XYaxis(), calculate_slope()
Angle / slope calculation is tricky due to different units in X and Y axis (bar_index vs. price)
Also, certain techniques give very different result when comparing historical data, due to price fluctuations.
With the techniques in XYaxis() and calculate_slope() I tried to create angles / slopes which are rather similar on all bars.
Importantly, XYaxis() always needs to be placed globally, calculate_slope() can be placed locally.
The XYratio can be useful for finetuning, since every user has other habits regarding zooming in on the chart. Zooming in/out doesn't
change bars/price, but it does change our angle perspective. Therefore XYratio can be very useful (for example as input.float(3, '', minval=0, maxval=10))
-> Seen on chart as purple lines + labels with slope/angle

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v4

Added namespace & description for each overload

Updated:
method count_num_in_array(arr, num)
  counts how many times a given number is present in a given array (0 when not present)
  Namespace types: float[]
  Parameters:
    arr (float[]): array<float>
    num (float): Number that needs to be counted (int, float)
  Returns: count of number in array (0 when not present)

method get_(arr, idx)
  array.get() but you can use negative index (-1 is last of array, -2 is second last,...)
  Namespace types: color[]
  Parameters:
    arr (color[]): array<color>
    idx (int): Index
  Returns: value/object at index, 'na' if index is outside array

method sumAllNumbers_till_under_10(num)
  sums all separate digit numbers, it repeats the process until sum < 10
  Namespace types: series float, simple float, input float, const float
  Parameters:
    num (float): Number (float)
  Returns: value between 0 and 9

٢٤ ديسمبر ٢٠٢٣

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v5

Added:

method testMa(iType, src, len)
  Returns a ma with simple int length (for comparison against xma() which can use series int length )
  Namespace types: series string, simple string, input string, const string
  Parameters:
    iType (string): Type of ma (ema, dema, tema, rma, hullMa or linreg)
    src (float): Source
    len (simple int): Length
  Returns: Moving Average

method wma_arr(source, len)
  Returns a wma, used in HullMa (in xma() )
  Namespace types: float[]
  Parameters:
    source (float[]): array of source
    len (int): Length
  Returns: WMA

method xma(xma, type, src, len)
  Returns a ma with series int length (for comparison against testMa() which can use simple int length )
  Namespace types: xma
  Parameters:
    xma (xma): UDT object -> xma.new()
    type (string)
    src (float): Source
    len (int): Length
  Returns: Moving Average

xma
  Fields:
    ma1 (series__float)
    ma2 (series__float)
    ma3 (series__float)
    ma4 (series__float)
    xma (series__float)
    aSrc (array__float)
    aXma (array__float)

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v6 + example testMa and array MA (xma)

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v7

Added:
isDark()
  Returns a boolean output, true when the chart background is dark, false if otherwise

method round_sig(number, round_to, only_R)
  Returns a rounded number after isolating x significant numbers
  Namespace types: series float, simple float, input float, const float
  Parameters:
    number (float): number to round
    round_to (int): round to x sign. figures
    only_R (bool): if enabled, when number > 1 only the values at the right of decimal point are considered
  Returns: Rounded number to x significant figures

٢٦ ديسمبر ٢٠٢٣

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v8

Small bugfix in "examples"

٣٠ يونيو

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v10

Added:

Pine Script®

Gives the last day of the month of a certain day, for example you want to know on which day is the last SUNDAY, or TUESDAY, or ...
Just import the library, for example:

Pine Script®

The optional 'adj' can be used on certain pairs (forex for example) where the start of the week is Sunday, and not Monday
For example, on the EURUSD pair you can add 1 as 'adj':

Pine Script®

lastSundayOfMonth(DAY, adj)
  lastSundayOfMonth(): Shows last x day of the month
  Parameters:
    DAY (string)
    adj (int): (optional): add/subtract 1 when needed (for example on FOREX pairs)
  Returns: int (day of month)