#import sys
#sys.setrecursionlimit(10000000)

class Interval:
    def __init__(self,minimum,maximum):
        self.min = minimum
        self.max = maximum

    def length(self):
        self.length = self.max - self.min
        return(self.length)

    def mid(self):
        self.mid = (self.min + self.max) / 2
        return(self.mid)

    def contains(self,x):
        if x >= self.min and x <= self.max:
            return True
        else:
            return False

    #def °(self,other,x=0):
    #   if self.contains(x) or other.contains(x):
    #d      return True

    def __add__(self,other):
        newmax = self.max + other.max
        newmin = self.min + other.min
        return(Interval(newmin,newmax))

    def __sub__(self,other):
        newmin = self.min - other.max
        newmax = self.max - other.min
        return(Interval(newmin,newmax))

    def __repr__(self):
        return("[" + str(self.min) + "," + str(self.max) + "]")

    def __mul__(self,other):
        newmin = min(self.max * other.min,self.max*other.max,self.min*other.min,self.min*other.max)
        newmax = max(self.max * other.min,self.max*other.max,self.min*other.min,self.min*other.max)
        return(Interval(newmin,newmax))

    def evalPolynomial(self,a):
        if len(a) == 1:
            #print(Interval(self.min,self.max))
            return(Interval(self.min,self.max) * (Interval(a[0],a[0])))
        else:
            #print(Interval(self.min,self.max))
            #print(a[0])
            return(Interval(a[0],a[0]) + (Interval(self.min,self.max) * (self.evalPolynomial(a[1:]))))

def findZeros(a,I,zeros):
    if I.evalPolynomial(a).contains(0) == False:
        return None
    if I.length() < 0.000001 and I.evalPolynomial(a).contains(0):
        #k = I.mid
        zeros.append(I.mid)
        return None
    findZeros(a,Interval(I.min,I.mid()),zeros)
    findZeros(a,Interval(I.mid,I.max),zeros)
    return(zeros)



a = Interval(-0.0000001,0.0000000001)
b = Interval(12,26)
d = [1,0,5,2,13,9]
dd = Interval(1,1)
#c = b.evalPolynomial(d)
#print(Interval(0,2).evalPolynomial([-6,11,-6,1]).contains(0))
#print(Interval(2,4).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(0,4).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(0,2).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(0,1).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(0,0.5).evalPolynomial([-6,11,-6,1]).contains(0))
print("Das Interval [0,0.5] enthält keine Nullstelle, daher springt er in die andere Hälfte, sprich [0.5,1] hier tritt ein 'float not callable Fehler auf'")
#print(findZeros([-6,11,-6,1],Interval(0,4),[]))
print("XDD")
print(Interval(0.9999990463256836,1.0).evalPolynomial([-6,11,-6,1]))
#print(b)
"""
liste = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27]
def listenteiler(a):
    if len(a) == 1:
        print(a[0])
        return
    mitte = len(a)//2
    listenteiler(a[:mitte])
    listenteiler(a[mitte:])
listenteiler(liste)
"""
"""
print(Interval(0,4).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(0,2).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(0,1).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(0,0.5).evalPolynomial([-6,11,-6,1]).contains(0))

print("1")
print(Interval(0,4).evalPolynomial([-6,11,-6,1]).contains(0))
print("2")
print(Interval(0,2).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(2,4).evalPolynomial([-6,11,-6,1]).contains(0))

print("3")
print(Interval(0,1).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(1,2).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(2,3).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(3,4).evalPolynomial([-6,11,-6,1]).contains(0))

print(Interval(0,1).evalPolynomial([-6,11,-6,1]))
print(Interval(1,2).evalPolynomial([-6,11,-6,1]))
print(Interval(2,3).evalPolynomial([-6,11,-6,1]))
print(Interval(3,4).evalPolynomial([-6,11,-6,1]))

print("4")
print(Interval(0,0.5).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(0.5,0.9).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(1,1.5).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(1.5,2).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(2,2.5).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(2.5,3).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(3,3.5).evalPolynomial([-6,11,-6,1]).contains(0))
print(Interval(3.5,4).evalPolynomial([-6,11,-6,1]).contains(0))
"""