fraction

2022年11月6日

Library "fraction"
Fraction Creation and Basic Operations.
Cracked a tough problem in making this Polarity Agnostic Decimal without a cheating "abs * sign of input".

it's quite fast, however still test for errors before production use.
>> Big Neon Sign on 1/0 value. <<

• Int Array (LOC 0/1)..
  
• To/From Decimal(float)
  
• Comparison ( < / == / >)
  
• Add / Sub / Mult / Div
  
• Invert polarity +/-
  
• String output with 2 formats ..
  

make(_numerator, _denominator, _val)
  Parameters:
    _numerator: (int) above the line integer ie: ____ of (___ / bottom )
    _denominator: (int) below the line integer ie: ____ of (top / ______ )
    _val: (int) OPTIONAL (for no real reason including it) integer to multiply
  Returns: array<int> where index 0 is Numerator, 1 is Denominator

add(_fraction, _fraction2)
  Perform add operation (left adds right onto )
  Parameters:
    _fraction: (array<int>) left side Fraction Object
    _fraction2: (array<int>) right side Fraction Object
  Returns: array<int> where index 0 is Numerator, 1 is Denominator

subtract(_fraction, _fraction2)
  Perform subtract operation (left subtracts right from )
  Parameters:
    _fraction: (array<int>) left side Fraction Object
    _fraction2: (array<int>) right side Fraction Object
  Returns: array<int> where index 0 is Numerator, 1 is Denominator

multiply(_fraction, _fraction2)
  Perform multiply operation (left multiplies by right )
  Parameters:
    _fraction: (array<int>) left side Fraction Object
    _fraction2: (array<int>) right side Fraction Object
  Returns: array<int> where index 0 is Numerator, 1 is Denominator

divide(_fraction, _fraction2)
  Perform divide operation (left divides by right )
  Parameters:
    _fraction: (array<int>) left side Fraction Object
    _fraction2: (array<int>) right side Fraction Object
  Returns: array<int> where index 0 is Numerator, 1 is Denominator

negative(_fraction)
  Perform Negative number inversion ie: (-1/2 => 1/2) or (3/5 => -3/5)
  Parameters:
    _fraction: (array<int>) Fraction Object to invert to/from negative
  Returns: array<int> where index 0 is Numerator, 1 is Denominator

isSmaller(_fraction, _fraction2)
  Check if first fraction is smaller
  Parameters:
    _fraction: (array<int>) left side Fraction Object
    _fraction2: (array<int>) right side Fraction Object
  Returns: True if smaller, false if bigger

isLarger(_fraction, _fraction2)
  Check if first fraction is larger
  Parameters:
    _fraction: (array<int>) left side Fraction Object
    _fraction2: (array<int>) right side Fraction Object
  Returns: True if smaller, false if bigger

isEqual(_fraction, _fraction2)
  Check if first fraction is equal
  Parameters:
    _fraction: (array<int>) left side Fraction Object
    _fraction2: (array<int>) right side Fraction Object
  Returns: True if smaller, false if bigger

fromDec(_input, _epsilon, _iterations)
  Convert Decimal to Fraction array
  note : this is my own Negative Number Capable (tiny speed loss)
  adaptation of the fastest algo out there
  Exclusive for Tradingview.
  Parameters:
    _input: (float) Decimal Input
    _epsilon: (int) (OPTIONAL) to precision 0's after dec 0.0000 -> epsilon 0's
    _iterations: (int) (OPTIONAL) Maximum iterations Till give up
  Returns: array<int> where index 0 is Numerator, 1 is Denominator

toDec()
  Convert Fraction to Decimal Output
  Returns: Float of fration

toString(_fraction)
  Create "A/B" or "A and B/C" String Value of Fraction.
  Parameters:
    _fraction: (array<int>) Fraction Object to invert to/from negative
  Returns: String as (-)? A and B/C format

4月1日

發行說明

v2

Added:
Fraction
  Fraction UDT for representing fractional numbers
  Fields:
    numerator (series int): (int) Numerator of the fraction
    denominator (series int): (int) Denominator of the fraction

Updated:
make(_numerator, _denominator)
  Create a new Fraction object
  Parameters:
    _numerator (int): (int) Numerator of the fraction
    _denominator (int): (int) Denominator of the fraction
  Returns: (Fraction) Fraction object

add(_fraction, _fraction2)
  Perform add operation (left adds right onto )
  Parameters:
    _fraction (Fraction): (Fraction) left side Fraction Object
    _fraction2 (Fraction): (Fraction) right side Fraction Object
  Returns: (Fraction) Resulting Fraction object

subtract(_fraction, _fraction2)
  Perform subtract operation (left subtracts right from )
  Parameters:
    _fraction (Fraction): (Fraction) left side Fraction Object
    _fraction2 (Fraction): (Fraction) right side Fraction Object
  Returns: (Fraction) Resulting Fraction object

multiply(_fraction, _fraction2)
  Perform multiply operation (left multiplies by right )
  Parameters:
    _fraction (Fraction): (Fraction) left side Fraction Object
    _fraction2 (Fraction): (Fraction) right side Fraction Object
  Returns: (Fraction) Resulting Fraction object

divide(_fraction, _fraction2)
  Perform divide operation (left divides by right )
  Parameters:
    _fraction (Fraction): (Fraction) left side Fraction Object
    _fraction2 (Fraction): (Fraction) right side Fraction Object
  Returns: (Fraction) Resulting Fraction object

negative(_fraction)
  Perform Negative number inversion ie: (-1/2 => 1/2) or (3/5 => -3/5)
  Parameters:
    _fraction (Fraction): (Fraction) Fraction Object to invert to/from negative
  Returns: (Fraction) Resulting Fraction object

isSmaller(_fraction, _fraction2)
  Check if first fraction is smaller
  Parameters:
    _fraction (Fraction): (Fraction) left side Fraction Object
    _fraction2 (Fraction): (Fraction) right side Fraction Object
  Returns: (bool) True if smaller, false if bigger

isLarger(_fraction, _fraction2)
  Check if first fraction is larger
  Parameters:
    _fraction (Fraction): (Fraction) left side Fraction Object
    _fraction2 (Fraction): (Fraction) right side Fraction Object
  Returns: (bool) True if larger, false if smaller

isEqual(_fraction, _fraction2)
  Check if first fraction is equal
  Parameters:
    _fraction (Fraction): (Fraction) left side Fraction Object
    _fraction2 (Fraction): (Fraction) right side Fraction Object
  Returns: (bool) True if equal, false if not equal

fromDec(_source, _epsilon, _iterations)
  Convert Decimal to Fraction object
note : this is my own Negative Number Capable (tiny speed loss)
adaptation of the fastest algo out there
Exclusive for Tradingview.
  Parameters:
    _source (float)
    _epsilon (int): (int) (OPTIONAL) to precision 0's after dec 0.0000 -> epsilon 0's
    _iterations (int): (int) (OPTIONAL) Maximum iterations Till give up
  Returns: (Fraction) Fraction object

toDec(_fraction)
  Convert Fraction object to Decimal Output
  Parameters:
    _fraction (Fraction): (Fraction) Fraction Object
  Returns: (float) Decimal representation of fraction

toString(_fraction, _wholenum)
  Create "A/B" or "A and B/C" String Value of Fraction.
  Parameters:
    _fraction (Fraction): (Fraction) Fraction Object to format as string
    _wholenum (bool): (bool) Optional, Output as whole number and fraction if possible
  Returns: (string) String as (-)? A and B/C format