old ruby

  • tsvvladimir95
  • C
  • 24 Mar 2014 
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class Funct

    def initialize(f,a,b,n)

        @f = f;

        @a = a;

        @b = b;

        @n =n;



        @h = (@b - @a)/@n;



        @xmas = [];

        v = @a;

        for i in 0..(@n-1)

            @xmas[i] = v;

            v += h;

        end



    end



    def f

        @f

    end



    def a

        @a

    end



    def b

        @b

    end



    def n

        @n

    end



    def h

        @h

    end



    def xmas

        @xmas

    end



end



class Midrect

    def count(f)

        @integr = 0.0;

        for i in 1..(f.n - 1)

            @integr +=f.f.call((f.xmas[i-1] + f.xmas[i]) / 2.0);

        end



        @integr *= f.h;



    end



    def integr

        @integr

    end

end



class Trapec

    def count(f)

        @integr = 0.0;

        for i in 1..(f.n - 2)

            @integr +=f.f.call(f.xmas[i]);

        end



        @integr += (f.f.call(f.xmas[0]) + f.f.call(f.xmas[f.n - 1])) / 2.0;

        @integr *= f.h;

        #print @integr,"-------\n";

    end



    def integr

        @integr

    end



    

end



class Simps

    def count(f)

        #print "simps";

        @integr = 0.0;

        @integr1 = 0.0;

        for i in 1..(f.n - 2)

            @integr1 +=f.f.call(f.xmas[i]);

        end

        @integr1 *= 2;



        @integr2 = 0.0;

        for i in 1..(f.n - 1)

            @integr2 +=f.f.call( (f.xmas[i-1] + f.xmas[i])/2.0 );

        end

        @integr2 *= 4;



        @integr += @integr1 + @integr2;



        @integr += f.f.call(f.xmas[0]);



        @integr += f.f.call(f.xmas[f.n - 1]);



        @integr *= f.h/6.0;        

        #print @integr,"-------\n";

    end



    def integr

        @integr

    end



    

end



class Precintegr

    def initialize(prec)

        @prec = prec;

    end



    def countwithprec(fun, a, b, integ)

        @n = 2;

        oldfun = Funct.new(fun, a, b, @n);

        newfun = Funct.new(fun, a, b, @n*2);

        

        integ.count(oldfun);

        oldintegr = integ.integr;

        integ.count(newfun);

        @integr = integ.integr;

        diff = (integr - oldintegr).abs()/3.0;



        while (diff > @prec)

            @n *= 2;

            oldfun = Funct.new(fun, a, b, @n);

            newfun = Funct.new(fun, a, b, @n*2);

        

            integ.count(oldfun);

            oldintegr = integ.integr;

            integ.count(newfun);

            @integr = integ.integr;

            diff = (integr - oldintegr).abs()/3.0;

        end



    end



    def integr

        @integr

    end



    def n

        @n

    end



end



pr = Precintegr.new(0.0001);



fun = Proc.new {|x| Math.exp(x)};

integrmidrect = Midrect.new();

pr.countwithprec(fun, 0.0, 1.0, integrmidrect);

print pr.integr,"\n",pr.n,"\n";



fun = Proc.new {|x| Math.exp(x)};

integrtrapec = Trapec.new();

pr.countwithprec(fun, 0.0, 1.0, integrtrapec);

print pr.integr,"\n",pr.n,"\n";



fun = Proc.new {|x| Math.exp(x)};

integrsimps = Simps.new();

pr.countwithprec(fun, 0.0, 1.0, integrsimps);

print pr.integr,"\n",pr.n,"\n";
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