Add bin and edit workflow

bin/gems/bigdecimal-3.1.9/sample/linear.rb

@@ -0,0 +1,74 @@
+#!/usr/local/bin/ruby
+# frozen_string_literal: false
+
+#
+# linear.rb
+#
+# Solves linear equation system(A*x = b) by LU decomposition method.
+#  where  A is a coefficient matrix,x is an answer vector,b is a constant vector.
+#
+# USAGE:
+#   ruby linear.rb [input file solved]
+#
+
+# :stopdoc:
+require "bigdecimal"
+require "bigdecimal/ludcmp"
+
+#
+# NOTE:
+#   Change following BigDecimal.limit() if needed.
+BigDecimal.limit(100)
+#
+
+include LUSolve
+def rd_order(na)
+   printf("Number of equations ?") if(na <= 0)
+   n = ARGF.gets().to_i
+end
+
+na   = ARGV.size
+zero = BigDecimal("0.0")
+one  = BigDecimal("1.0")
+
+while (n=rd_order(na))>0
+  a = []
+  as= []
+  b = []
+  if na <= 0
+     # Read data from console.
+     printf("\nEnter coefficient matrix element A[i,j]\n")
+     for i in 0...n do
+       for j in 0...n do
+         printf("A[%d,%d]? ",i,j); s = ARGF.gets
+         a  << BigDecimal(s)
+         as << BigDecimal(s)
+       end
+       printf("Contatant vector element b[%d] ? ",i)
+       b << BigDecimal(ARGF.gets)
+     end
+  else
+     # Read data from specified file.
+     printf("Coefficient matrix and constant vector.\n")
+     for i in 0...n do
+       s = ARGF.gets
+       printf("%d) %s",i,s)
+       s = s.split
+       for j in 0...n do
+         a  << BigDecimal(s[j])
+         as << BigDecimal(s[j])
+       end
+       b << BigDecimal(s[n])
+     end
+  end
+  x = lusolve(a,b,ludecomp(a,n,zero,one),zero)
+  printf("Answer(x[i] & (A*x-b)[i]) follows\n")
+  for i in 0...n do
+     printf("x[%d]=%s ",i,x[i].to_s)
+     s = zero
+     for j in 0...n do
+       s = s + as[i*n+j]*x[j]
+     end
+     printf(" & %s\n",(s-b[i]).to_s)
+  end
+end

bin/gems/bigdecimal-3.1.9/sample/nlsolve.rb

@@ -0,0 +1,40 @@
+#!/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

bin/gems/bigdecimal-3.1.9/sample/pi.rb

@@ -0,0 +1,21 @@
+#!/usr/local/bin/ruby
+# frozen_string_literal: false
+
+#
+# pi.rb
+#
+# Calculates 3.1415.... (the number of times that a circle's diameter
+# will fit around the circle) using J. Machin's formula.
+#
+
+require "bigdecimal"
+require "bigdecimal/math.rb"
+
+include BigMath
+
+if ARGV.size == 1
+    print "PI("+ARGV[0]+"):\n"
+    p PI(ARGV[0].to_i)
+else
+    print "TRY: ruby pi.rb 1000 \n"
+end