asdas

trueroot=0.42630275100686274567
Restults=Hash.new()

def f(x)
  x**(0.5) - Math.exp(-x)
end

def f1(x)
   1/(2*Math.sqrt(x)) + Math.exp(x) 
end

def bisection(inta, intb, epsilon )
    a, b = inta, intb
    c    = (inta+intb)/2
    eps  = epsilon
    i=0
    while(b - a > eps) do
      c = (a+b)/2
       curval = f(c)*f(a)
      if (curval<=0)
        b=c 
      else 
        a=c
      end
      Restults[[1,i]]=c
      i+=1
    end
    return c
end

def newton(init, inta, intb, epsilon)
  x = init
  d = f(x)/f1(x)
  i=0
  while( d > epsilon ) do
    x = x-d
    d=f(x)/f1(x)
    Restults[[2,i]] = x
    i+=1
  end
  return x
end

def newton_simple(init, inta, intb, epsilon)
  x = init
  d = f(x)/((f(x+f(x))-f(x))/f(x))
  i=0;
  while(d.abs > epsilon ) do
    x = x-d
    d = f(x)/((f(x+f(x))-f(x))/f(x))
    Restults[[3,i]] = x
    i+=1
  end
  return x
end

def secant(init1, init2, inta, intb, epsilon)
  x  = init1
  x1 = init2
  x0 = init1
  temp=epsilon+1;
  i=0
  while( temp.abs > epsilon ) do
    temp = f(x1)*( (x1-x0)/(f(x1)-f(x0)) )
    x  = x1-temp
    x0 = x1
    x1 = x
    Restults[[4,i]] = x
    i+=1
  end
  return x
end

e=0.0001
p bisection(0,1.2,e)
p newton(0.6,0,1.2,e)
p newton_simple(0.6,0,1.2,e)
p secant(0.6, 1, 0,1.2,e)
Restults.sort.each {|x,y|
  puts "method nr #{x[0]} #{x[1]}. -->#{y} \t  \t \t #{(trueroot-y).abs}"
}