Data commit

Task/Pascal-matrix-generation/Ruby/pascal-matrix-generation-1.rb

@@ -0,0 +1,10 @@
+#Upper, lower, and symetric Pascal Matrix - Nigel Galloway: May 3rd., 21015
+require 'pp'
+
+ng = (g = 0..4).collect{[]}
+g.each{|i| g.each{|j| ng[i][j] = i==0 ? 1 : j<i ? 0 : ng[i-1][j-1]+ng[i][j-1]}}
+pp ng; puts
+g.each{|i| g.each{|j| ng[i][j] = j==0 ? 1 : i<j ? 0 : ng[i-1][j-1]+ng[i-1][j]}}
+pp ng; puts
+g.each{|i| g.each{|j| ng[i][j] = (i==0 or j==0) ? 1 : ng[i-1][j  ]+ng[i][j-1]}}
+pp ng

Task/Pascal-matrix-generation/Ruby/pascal-matrix-generation-2.rb

@@ -0,0 +1,16 @@
+require 'pp'
+
+def binomial_coeff(n,k) (1..k).inject(1){|res,i| res * (n-i+1) / i}             end
+
+def pascal_upper(n)     (0...n).map{|i| (0...n).map{|j| binomial_coeff(j,i)}}   end
+def pascal_lower(n)     (0...n).map{|i| (0...n).map{|j| binomial_coeff(i,j)}}   end
+def pascal_symmetric(n) (0...n).map{|i| (0...n).map{|j| binomial_coeff(i+j,j)}} end
+
+puts "Pascal upper-triangular matrix:"
+pp pascal_upper(5)
+
+puts "\nPascal lower-triangular matrix:"
+pp pascal_lower(5)
+
+puts "\nPascal symmetric matrix:"
+pp pascal_symmetric(5)