Fibonacci Weighted Moving Average v2

// This source code is subject to the terms of the Mozilla Public License 2.0 at https://mozilla.org/MPL/2.0/
// © RedKTrader
// ------------------------------------------------------------------------------------------------
// Original author:  RedKTrader
// Original title:   TA Basics: Creating a Fibonacci Weighted Moving Average
// Licence:          MPL-2.0 (the header above is the original notice, kept verbatim)
// Pine version:     4
// Fetched:          2026-10-12
// Ported to FloScript by FloSignals; modifications under MPL-2.0.
// Converter:        @flosignals/floscript 0.1.0, strict mode, score 100/100
// ------------------------------------------------------------------------------------------------
//@floscript=1
//@version=5
// Converted by the FloScript converter from a Pine-compatible v4 source.

indicator(title="Fibonacci Weighted Moving Average v2", shorttitle="FiMA v2", overlay=true)

//main Fib-WMA function
// this function calculates Fib(n)
// utilizing the mathematical formula available here -->  https://www.geeksforgeeks.org/program-for-nth-fibonacci-number/
// Fn = {[(√5 + 1)/2] ^ n} / √5
// .... and we simplify it in code to 2 simpler parts:
//    phi = (1 + sqrt(5)) / 2    --> this is a constant, so no need to calulcate each time
// fib(n) = round(pow(phi, n) / sqrt(5))    --> this determines the Fibonacci Sequence value for n
// ============================================================================
fima(_price, _length) =>
    numerator = 0.0
    denom = 0.0
    float fibweight = 0.0
    float k = 0.0
    var float f = math.sqrt(5)
    var float phi = math.phi
    for i = 0 to _length - 1
        k := math.pow(phi, _length - i)
        //fibweight   := round( k / f)
        // remove round() function as it forces conversion of the float variable into integer and we hit maxval of integers too soon
        fibweight := k / f
        numerator := numerator + _price[i] * fibweight
        denom := denom + fibweight
    numerator / denom
// ============================================================================

//inputs
length = input.int(20, "Length", minval=1)
source = input(close, "Source")
ex_s = input.int(3, "Extra Smoothing", minval=1)

//Calculation
FiMA = fima(source, length)
// Apply extra smoothing
FiMAs = ta.wma(FiMA, ex_s)

//Plot
plot(FiMAs, title="FiMA", color=color.yellow, linewidth=3)

This file is under the Mozilla Public License 2.0; it is a port of the original by RedKTrader, with the original licence header kept and the changes made for FloScript noted in the file.

• v22026-10-14

  Library refresh 2026-10-14

• v12026-10-12

  Library refresh 2026-10-12