How To Compute Fibonacci Extensions in Ruby?
How To Compute Fibonacci Extensions in Ruby?
1 answer
by
tina ,
8 months ago
@buster.gaylord
To compute Fibonacci extensions in Ruby, you can write a simple function that generates the Fibonacci sequence up to a certain number of terms and then calculates the Fibonacci extensions based on those numbers. Here's a step-by-step guide to writing a Ruby program to compute Fibonacci extensions:
Step 1: Define a function to generate the Fibonacci sequence
1 2 3 4 5 6 7 |
def fibonacci(n)
fib = [0, 1]
(2..n).each do |i|
fib[i] = fib[i - 1] + fib[i - 2]
end
return fib
end
|
Step 2: Define a function to calculate Fibonacci extensions
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 |
def fibonacci_extensions(n) fib = fibonacci(n) retracement_levels = [] extension_levels = [] # Calculate retracement levels retracement_levels << fib[n] retracement_levels << fib[n] - ((fib[n] - fib[n-1]) * 0.236) retracement_levels << fib[n] - ((fib[n] - fib[n-1]) * 0.382) retracement_levels << fib[n] - ((fib[n] - fib[n-1]) * 0.618) # Calculate extension levels extension_levels << fib[n] + ((fib[n] - fib[n-1]) * 2) extension_levels << fib[n] + ((fib[n] - fib[n-1]) * 3) extension_levels << fib[n] + ((fib[n] - fib[n-1]) * 4) return retracement_levels, extension_levels end |
Step 3: Test the function with a sample input
1 2 3 4 5 |
n = 10
retracement_levels, extension_levels = fibonacci_extensions(n)
puts "Retracement levels: #{retracement_levels}"
puts "Extension levels: #{extension_levels}"
|
This code will calculate the Fibonacci extensions for the Fibonacci sequence up to the 10th term. You can modify the value of 'n' to calculate extensions for a different number of terms.