lib/dydx/integrand.rb in dydx-0.1.4 vs lib/dydx/integrand.rb in dydx-0.1.25

- old
+ new

@@ -1,38 +1,26 @@ module Dydx class Integrand attr_accessor :function, :var - def initialize(function, var) @function = function @var = var end - def [](a, b, n = 1000) + def [](a, b, n = 100) + f = function + a, b = [a, b].map(&:to_f) + raise ArgumentError, 'b should be greater than a' if a > b # HOT FIX: should implement Infinity class a = - 1000 if a == - Float::INFINITY b = 1000 if b == Float::INFINITY - a, b = [a, b].map(&:to_f) - fail ArgumentError, 'b should be greater than a' if a > b - $temp_cal_f = function - - n = [n, (b - a) * 2].max - n += 1 if n.to_i.odd? h = (b - a) / n - x = ->(i) { a + h * i } - - odd_sum = (1..n - 1).to_a.select(&:odd?).inject(0) { |sum, i| sum += f(x.(i)) } - even_sum = (1..n - 1).to_a.select(&:even?).inject(0) { |sum, i| sum += f(x.(i)) } - round_8( (h / 3) * (f(a) + f(b) + 2 * even_sum + 4 * odd_sum) ) - end - - def f(vars) - temp_cal_f(vars) - end - - def round_8(num) - return num if num.abs == Float::INFINITY - (num * 10 ** 8).round * 10.0 ** (-8) + sum = 0.0 + xi = ->(i){ a + h * i } + n.to_i.times do |i| + sum += ( f(xi.(i)) + 4.0 * f(xi.(i) + h / 2.0 ) + f(xi.(i) + h) ) + end + ( h * sum ) / 6.0 end end end