XMAN Replicator

Path: /opt/alt/ruby40/share/gems/gems/bigdecimal-4.0.1/sample/

Name	Size	Rights	Date	Actions
[.]	<DIR>	drwxr-xr-x	2026-06-09 05:02	🔄 🗑️ 🗑️📁 ⬇️ 🔒
[..]	<DIR>	drwxr-xr-x	2026-06-09 05:02	🔄 🗑️ 🗑️📁 ⬇️ 🔒
linear.rb	1,628 B	-rw-r--r--	2026-05-21 12:15	✏️ 🔄 🗑️ ⬇️ 🔒
nlsolve.rb	851 B	-rw-r--r--	2026-05-21 12:15	✏️ 🔄 🗑️ ⬇️ 🔒
pi.rb	381 B	-rw-r--r--	2026-05-21 12:15	✏️ 🔄 🗑️ ⬇️ 🔒

View: nlsolve.rb

#!/usr/local/bin/ruby
# frozen_string_literal: false

#
# nlsolve.rb
# An example for solving nonlinear algebraic equation system.
#

require "bigdecimal"
require "bigdecimal/newton"
include Newton

class Function # :nodoc: all
  def initialize()
    @zero = BigDecimal("0.0")
    @one  = BigDecimal("1.0")
    @two  = BigDecimal("2.0")
    @ten  = BigDecimal("10.0")
    @eps  = BigDecimal("1.0e-16")
  end
  def zero;@zero;end
  def one ;@one ;end
  def two ;@two ;end
  def ten ;@ten ;end
  def eps ;@eps ;end
  def values(x) # <= defines functions solved
    f = []
    f1 = x[0]*x[0] + x[1]*x[1] - @two # f1 = x**2 + y**2 - 2 => 0
    f2 = x[0] - x[1]                  # f2 = x    - y        => 0
    f <<= f1
    f <<= f2
    f
  end
end

f = BigDecimal.limit(100)
f = Function.new
x = [f.zero,f.zero]      # Initial values
n = nlsolve(f,x)
p x

🛸 XMAN Replicator

View: nlsolve.rb

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