In [1]:
import numpy as np

def interval_hull(A):
    result=np.array([min(A), max(A)] )
    return result

In [2]:
def interval_add(x,y):
    result= np.array([x[0]+y[0],x[1]+y[1]])
    return result

def interval_subtract(x,y):
    result= np.array([x[0]-y[1],x[1]-y[0]])
    return result

def interval_multiply(x,y):
    A=np.array([x[0]*y[0],x[1]*y[1],x[0]*y[1],x[1]*y[0]])
    result= interval_hull(A)
    return result

In [3]:
def boxweite(x):
    result = (x[1]-x[0])
    return result

In [4]:
def mittelpunkt(x):
    result =((x[0]+x[1])/2)
    return result

In [5]:
def f1(x):
    res1=interval_multiply(x,x)
    res2=interval_subtract(x,res1)
    return res2

def f2(x):
    res1=np.array([1-x[1], 1-x[0]])
    res2= interval_multiply(x,res1)
    return res2

def f3(x):
    if x[1]<1/2:
        result = np.array([x[0]-x[0]*x[0], x[1]-x[1]*x[1]])
    elif x[0]>1/2:
        result = np.array([x[1]-x[1]*x[1], x[0]-x[0]*x[0]])
    else: 
        minimum= min([x[0]-x[0]*x[0], x[1]-x[1]*x[1]])
        result= np.array([minimum, 1/4])
    return result

In [6]:
epsilon = np.arange(0.1,30.1,0.1)
X = epsilon-10

Y = np.zeros((len(epsilon),2),dtype=np.ndarray)
for i in range(0,len(epsilon)):
    Y[i]=np.array([-10,X[i]])
    
res_f1=np.zeros((len(epsilon),2),dtype=np.ndarray)
for i in range (0,len(epsilon)):
    res_f1[i]=f1(Y[i])
    
res_f2=np.zeros((len(epsilon),2),dtype=np.ndarray)
for i in range (0,len(epsilon)):
    res_f2[i]=f2(Y[i])

res_f3=np.zeros((len(epsilon),2),dtype=np.ndarray)
for i in range (0,len(epsilon)):
    res_f3[i]=f3(Y[i])
    
boxweite_f1=np.zeros(len(epsilon))
for i in range (0,len(epsilon)):
    boxweite_f1[i]=boxweite(res_f1[i])
    
boxweite_f2=np.zeros(len(epsilon))
for i in range (0,len(epsilon)):
    boxweite_f2[i]=boxweite(res_f2[i])
    
boxweite_f3=np.zeros(len(epsilon))
for i in range (0,len(epsilon)):
    boxweite_f3[i]=boxweite(res_f3[i])
    
import matplotlib.pyplot as plt
plt.figure(figsize=(10,10))
plt.plot(epsilon, boxweite_f1)
plt.plot(epsilon, boxweite_f2)
plt.plot(epsilon, boxweite_f3)
plt.show()



In [7]:
mitte_f1=np.zeros(len(epsilon))
for i in range (0,len(epsilon)):
    mitte_f1[i]=mittelpunkt(res_f1[i])
    
mitte_f2=np.zeros(len(epsilon))
for i in range (0,len(epsilon)):
    mitte_f2[i]=mittelpunkt(res_f2[i])
    
mitte_f3=np.zeros(len(epsilon))
for i in range (0,len(epsilon)):
    mitte_f3[i]=mittelpunkt(res_f3[i])
    
import matplotlib.pyplot as plt
    
plt.figure(figsize=(10,10))
plt.plot(epsilon, mitte_f1)
plt.plot(epsilon, mitte_f2)
plt.plot(epsilon, mitte_f3)
plt.show()



In [8]:
print(res_f1)


[[-110.0 -107.91000000000001]
 [-110.0 -105.84000000000002]
 [-110.0 -103.78999999999999]
 [-110.0 -101.75999999999999]
 [-110.0 -99.75]
 [-110.0 -97.76000000000002]
 [-110.0 -95.79]
 [-110.0 -93.83999999999999]
 [-110.0 -91.90999999999998]
 [-110.0 -90.0]
 [-110.0 -88.11000000000001]
 [-110.0 -86.24000000000001]
 [-110.0 -84.38999999999999]
 [-110.0 -82.55999999999999]
 [-110.0 -80.75]
 [-110.0 -78.96000000000001]
 [-110.0 -77.19000000000001]
 [-110.0 -75.44]
 [-110.0 -73.71]
 [-110.0 -72.0]
 [-110.0 -70.31]
 [-110.0 -68.64]
 [-110.0 -66.99]
 [-110.0 -65.36]
 [-110.0 -63.75]
 [-110.0 -62.160000000000004]
 [-110.0 -60.589999999999996]
 [-110.0 -59.03999999999999]
 [-110.0 -57.51]
 [-110.0 -56.0]
 [-110.0 -54.510000000000005]
 [-110.0 -53.03999999999999]
 [-110.0 -51.58999999999999]
 [-110.0 -50.16]
 [-110.0 -48.75]
 [-110.0 -47.36000000000001]
 [-110.0 -45.989999999999995]
 [-110.0 -44.639999999999986]
 [-110.0 -43.309999999999995]
 [-110.0 -42.0]
 [-110.0 -40.71]
 [-110.0 -39.44]
 [-110.0 -38.190000000000005]
 [-110.0 -36.96000000000001]
 [-110.0 -35.75]
 [-110.0 -34.56]
 [-110.0 -33.39]
 [-110.0 -32.24]
 [-110.0 -31.11]
 [-110.0 -30.0]
 [-110.0 -28.910000000000004]
 [-110.0 -27.84]
 [-110.0 -26.790000000000003]
 [-110.0 -25.759999999999998]
 [-110.0 -24.75]
 [-110.0 -23.760000000000005]
 [-110.0 -22.79]
 [-110.0 -21.84]
 [-110.0 -20.909999999999997]
 [-110.0 -20.0]
 [-110.0 -19.110000000000003]
 [-110.0 -18.24]
 [-110.0 -17.39]
 [-110.0 -16.559999999999995]
 [-110.0 -15.75]
 [-110.0 -14.960000000000003]
 [-110.0 -14.189999999999998]
 [-110.0 -13.440000000000001]
 [-110.0 -12.709999999999997]
 [-110.0 -12.0]
 [-110.0 -11.310000000000002]
 [-110.0 -10.639999999999999]
 [-110.0 -9.990000000000002]
 [-110.0 -9.359999999999998]
 [-110.0 -8.75]
 [-110.0 -8.160000000000002]
 [-110.0 -7.589999999999999]
 [-110.0 -7.040000000000001]
 [-110.0 -6.509999999999998]
 [-110.0 -6.0]
 [-110.0 -5.510000000000002]
 [-110.0 -5.040000000000003]
 [-110.0 -4.589999999999996]
 [-110.0 -4.159999999999998]
 [-110.0 -3.75]
 [-110.0 -3.360000000000001]
 [-110.0 -2.990000000000003]
 [-110.0 -2.639999999999998]
 [-110.0 -2.3099999999999987]
 [-110.0 -2.0]
 [-110.0 -1.7100000000000009]
 [-110.0 -1.4400000000000017]
 [-110.0 -1.1899999999999982]
 [-110.0 -0.9599999999999993]
 [-110.0 -0.75]
 [-110.0 -0.5600000000000006]
 [-110.0 -0.3899999999999983]
 [-110.0 -0.239999999999999]
 [-110.0 -0.10999999999999957]
 [-110.0 0.0]
 [-110.0 1.099999999999996]
 [-110.0 2.2000000000000117]
 [-110.0 3.300000000000008]
 [-110.0 4.400000000000004]
 [-110.0 5.5]
 [-110.0 6.599999999999996]
 [-110.0 7.700000000000012]
 [-110.0 8.800000000000008]
 [-110.0 9.900000000000004]
 [-110.0 11.0]
 [-110.0 12.099999999999996]
 [-110.0 13.200000000000012]
 [-110.0 14.300000000000008]
 [-110.0 15.400000000000004]
 [-110.0 16.5]
 [-110.0 17.599999999999994]
 [-110.0 18.70000000000001]
 [-110.0 19.800000000000008]
 [-110.0 20.900000000000006]
 [-110.0 22.0]
 [-110.0 23.099999999999994]
 [-110.0 24.20000000000001]
 [-110.0 25.300000000000008]
 [-110.0 26.400000000000006]
 [-110.0 27.5]
 [-110.0 28.599999999999994]
 [-110.0 29.70000000000001]
 [-110.0 30.800000000000008]
 [-110.0 31.900000000000006]
 [-110.0 33.0]
 [-110.0 34.099999999999994]
 [-110.0 35.20000000000002]
 [-110.0 36.30000000000001]
 [-110.0 37.4]
 [-110.0 38.5]
 [-110.0 39.6]
 [-110.0 40.70000000000002]
 [-110.0 41.80000000000001]
 [-110.0 42.9]
 [-110.0 44.0]
 [-110.0 45.1]
 [-110.0 46.20000000000002]
 [-110.0 47.30000000000001]
 [-110.0 48.4]
 [-110.0 49.5]
 [-110.0 50.6]
 [-110.0 51.70000000000002]
 [-110.0 52.80000000000001]
 [-110.0 53.9]
 [-110.0 55.0]
 [-110.0 56.1]
 [-110.0 57.20000000000002]
 [-110.0 58.30000000000001]
 [-110.0 59.4]
 [-110.0 60.5]
 [-110.0 61.6]
 [-110.0 62.70000000000002]
 [-110.0 63.80000000000001]
 [-110.0 64.9]
 [-110.0 66.0]
 [-110.0 67.10000000000002]
 [-110.0 68.20000000000003]
 [-110.0 69.30000000000001]
 [-110.0 70.40000000000003]
 [-110.0 71.50000000000003]
 [-110.0 72.60000000000002]
 [-110.0 73.70000000000003]
 [-110.0 74.8]
 [-110.0 75.90000000000003]
 [-110.0 77.00000000000003]
 [-110.0 78.10000000000002]
 [-110.0 79.20000000000003]
 [-110.0 80.3]
 [-110.0 81.40000000000003]
 [-110.0 82.50000000000003]
 [-110.0 83.60000000000002]
 [-110.0 84.70000000000003]
 [-110.0 85.8]
 [-110.0 86.90000000000003]
 [-110.0 88.00000000000003]
 [-110.0 89.10000000000002]
 [-110.0 90.20000000000003]
 [-110.0 91.3]
 [-110.0 92.40000000000003]
 [-110.0 93.50000000000003]
 [-110.0 94.60000000000002]
 [-110.0 95.70000000000003]
 [-110.0 96.8]
 [-110.0 97.90000000000003]
 [-110.0 99.00000000000003]
 [-110.0 100.10000000000002]
 [-110.0 101.20000000000003]
 [-110.0 102.30000000000004]
 [-110.0 103.40000000000003]
 [-110.0 104.50000000000003]
 [-110.0 105.60000000000002]
 [-110.0 106.70000000000003]
 [-110.0 107.80000000000004]
 [-110.0 108.90000000000003]
 [-110.00000000000007 110.00000000000003]
 [-112.01000000000003 111.10000000000002]
 [-114.04000000000006 112.20000000000003]
 [-116.09000000000009 113.30000000000004]
 [-118.16000000000004 114.40000000000003]
 [-120.25000000000007 115.50000000000003]
 [-122.36000000000003 116.60000000000002]
 [-124.49000000000007 117.70000000000003]
 [-126.64000000000009 118.80000000000004]
 [-128.81000000000006 119.90000000000003]
 [-131.00000000000009 121.00000000000003]
 [-133.21000000000004 122.10000000000002]
 [-135.44000000000005 123.20000000000003]
 [-137.6900000000001 124.30000000000004]
 [-139.96000000000004 125.40000000000003]
 [-142.25000000000009 126.50000000000003]
 [-144.56000000000003 127.60000000000002]
 [-146.89000000000007 128.70000000000005]
 [-149.2400000000001 129.80000000000004]
 [-151.61000000000004 130.90000000000003]
 [-154.00000000000009 132.00000000000003]
 [-156.41000000000003 133.10000000000002]
 [-158.84000000000006 134.20000000000005]
 [-161.2900000000001 135.30000000000004]
 [-163.76000000000005 136.40000000000003]
 [-166.25000000000009 137.50000000000003]
 [-168.76000000000005 138.60000000000002]
 [-171.29000000000008 139.70000000000005]
 [-173.84000000000012 140.80000000000007]
 [-176.41000000000005 141.90000000000003]
 [-179.00000000000009 143.00000000000003]
 [-181.61000000000004 144.1]
 [-184.24000000000007 145.20000000000005]
 [-186.8900000000001 146.30000000000007]
 [-189.56000000000006 147.40000000000003]
 [-192.25000000000009 148.50000000000003]
 [-194.96000000000004 149.6]
 [-197.69000000000008 150.70000000000005]
 [-200.4400000000001 151.80000000000007]
 [-203.21000000000006 152.90000000000003]
 [-206.0000000000001 154.00000000000003]
 [-208.81000000000003 155.1]
 [-211.64000000000007 156.20000000000005]
 [-214.49000000000012 157.30000000000007]
 [-217.36000000000007 158.40000000000003]
 [-220.2500000000001 159.50000000000003]
 [-223.16000000000005 160.6]
 [-226.0900000000001 161.70000000000005]
 [-229.04000000000013 162.80000000000007]
 [-232.01000000000008 163.90000000000003]
 [-235.0000000000001 165.00000000000003]
 [-238.01000000000005 166.1]
 [-241.04000000000008 167.20000000000005]
 [-244.09000000000012 168.30000000000007]
 [-247.16000000000005 169.40000000000003]
 [-250.2500000000001 170.50000000000003]
 [-253.36000000000004 171.6]
 [-256.4900000000001 172.70000000000005]
 [-259.6400000000001 173.80000000000007]
 [-262.81000000000006 174.90000000000003]
 [-266.0000000000001 176.00000000000003]
 [-269.21000000000004 177.1]
 [-272.4400000000001 178.20000000000005]
 [-275.6900000000001 179.30000000000007]
 [-278.9600000000001 180.40000000000003]
 [-282.2500000000001 181.50000000000003]
 [-285.56000000000006 182.6]
 [-288.8900000000001 183.70000000000005]
 [-292.2400000000001 184.80000000000007]
 [-295.61000000000007 185.90000000000003]
 [-299.0000000000001 187.00000000000003]
 [-302.41 188.1]
 [-305.8400000000001 189.20000000000005]
 [-309.29000000000013 190.30000000000007]
 [-312.76000000000005 191.40000000000003]
 [-316.2500000000001 192.50000000000003]
 [-319.76000000000005 193.6]
 [-323.2900000000001 194.70000000000005]
 [-326.84000000000015 195.80000000000007]
 [-330.4100000000001 196.90000000000003]
 [-334.0000000000001 198.00000000000003]
 [-337.61000000000007 199.1]
 [-341.2400000000001 200.20000000000005]
 [-344.89000000000016 201.30000000000007]
 [-348.56000000000006 202.40000000000003]
 [-352.2500000000001 203.50000000000003]
 [-355.96000000000004 204.6]
 [-359.6900000000001 205.70000000000005]
 [-363.44000000000017 206.80000000000007]
 [-367.2100000000001 207.90000000000003]
 [-371.0000000000001 209.00000000000003]
 [-374.81000000000006 210.1]
 [-378.6400000000001 211.20000000000005]
 [-382.4900000000002 212.30000000000007]
 [-386.36000000000007 213.40000000000003]
 [-390.2500000000001 214.50000000000003]
 [-394.1600000000001 215.6]
 [-398.0900000000001 216.70000000000005]
 [-402.0400000000002 217.80000000000007]
 [-406.0100000000001 218.90000000000003]
 [-410.00000000000017 220.00000000000003]]

In [9]:
print(res_f2)


[[-110.0 -107.91000000000001]
 [-110.0 -105.84000000000002]
 [-110.0 -103.78999999999999]
 [-110.0 -101.75999999999999]
 [-110.0 -99.75]
 [-110.0 -97.76]
 [-110.0 -95.79000000000002]
 [-110.0 -93.83999999999999]
 [-110.0 -91.91]
 [-110.0 -90.0]
 [-110.0 -88.11000000000001]
 [-110.0 -86.24000000000001]
 [-110.0 -84.38999999999999]
 [-110.0 -82.55999999999999]
 [-110.0 -80.75]
 [-110.0 -78.96000000000001]
 [-110.0 -77.19000000000001]
 [-110.0 -75.43999999999998]
 [-110.0 -73.71]
 [-110.0 -72.0]
 [-110.0 -70.31]
 [-110.0 -68.64]
 [-110.0 -66.99]
 [-110.0 -65.36]
 [-110.0 -63.75]
 [-110.0 -62.160000000000004]
 [-110.0 -60.59]
 [-110.0 -59.03999999999999]
 [-110.0 -57.51]
 [-110.0 -56.0]
 [-110.0 -54.510000000000005]
 [-110.0 -53.04]
 [-110.0 -51.58999999999999]
 [-110.0 -50.16]
 [-110.0 -48.75]
 [-110.0 -47.36000000000001]
 [-110.0 -45.989999999999995]
 [-110.0 -44.63999999999999]
 [-110.0 -43.309999999999995]
 [-110.0 -42.0]
 [-110.0 -40.71000000000001]
 [-110.0 -39.44]
 [-110.0 -38.190000000000005]
 [-110.0 -36.96000000000001]
 [-110.0 -35.75]
 [-110.0 -34.56]
 [-110.0 -33.39]
 [-110.0 -32.24]
 [-110.0 -31.109999999999996]
 [-110.0 -30.0]
 [-110.0 -28.910000000000004]
 [-110.0 -27.84]
 [-110.0 -26.790000000000003]
 [-110.0 -25.759999999999998]
 [-110.0 -24.75]
 [-110.0 -23.760000000000005]
 [-110.0 -22.79]
 [-110.0 -21.840000000000003]
 [-110.0 -20.909999999999997]
 [-110.0 -20.0]
 [-110.0 -19.110000000000003]
 [-110.0 -18.24]
 [-110.0 -17.39]
 [-110.0 -16.56]
 [-110.0 -15.75]
 [-110.0 -14.960000000000003]
 [-110.0 -14.19]
 [-110.0 -13.440000000000001]
 [-110.0 -12.709999999999997]
 [-110.0 -12.0]
 [-110.0 -11.310000000000002]
 [-110.0 -10.639999999999999]
 [-110.0 -9.990000000000002]
 [-110.0 -9.359999999999998]
 [-110.0 -8.75]
 [-110.0 -8.160000000000002]
 [-110.0 -7.589999999999999]
 [-110.0 -7.040000000000001]
 [-110.0 -6.509999999999998]
 [-110.0 -6.0]
 [-110.0 -5.510000000000002]
 [-110.0 -5.040000000000004]
 [-110.0 -4.589999999999997]
 [-110.0 -4.159999999999998]
 [-110.0 -3.75]
 [-110.0 -3.360000000000001]
 [-110.0 -2.9900000000000024]
 [-110.0 -2.6399999999999975]
 [-110.0 -2.3099999999999987]
 [-110.0 -2.0]
 [-110.0 -1.710000000000001]
 [-110.0 -1.440000000000002]
 [-110.0 -1.1899999999999984]
 [-110.0 -0.9599999999999992]
 [-110.0 -0.75]
 [-110.0 -0.5600000000000006]
 [-110.0 -0.3899999999999983]
 [-110.0 -0.239999999999999]
 [-110.0 -0.10999999999999957]
 [-110.0 0.0]
 [-110.0 1.099999999999996]
 [-110.0 2.2000000000000117]
 [-110.0 3.300000000000008]
 [-110.0 4.400000000000004]
 [-110.0 5.5]
 [-110.0 6.599999999999996]
 [-110.0 7.700000000000012]
 [-110.0 8.800000000000008]
 [-110.0 9.900000000000004]
 [-110.0 11.0]
 [-110.0 12.099999999999996]
 [-110.0 13.200000000000012]
 [-110.0 14.300000000000008]
 [-110.0 15.400000000000004]
 [-110.0 16.5]
 [-110.0 17.599999999999994]
 [-110.0 18.70000000000001]
 [-110.0 19.800000000000008]
 [-110.0 20.900000000000006]
 [-110.0 22.0]
 [-110.0 23.099999999999994]
 [-110.0 24.20000000000001]
 [-110.0 25.300000000000008]
 [-110.0 26.400000000000006]
 [-110.0 27.5]
 [-110.0 28.599999999999994]
 [-110.0 29.70000000000001]
 [-110.0 30.800000000000008]
 [-110.0 31.900000000000006]
 [-110.0 33.0]
 [-110.0 34.099999999999994]
 [-110.0 35.20000000000001]
 [-110.0 36.30000000000001]
 [-110.0 37.400000000000006]
 [-110.0 38.5]
 [-110.0 39.599999999999994]
 [-110.0 40.70000000000001]
 [-110.0 41.80000000000001]
 [-110.0 42.900000000000006]
 [-110.0 44.0]
 [-110.0 45.099999999999994]
 [-110.0 46.20000000000001]
 [-110.0 47.30000000000001]
 [-110.0 48.400000000000006]
 [-110.0 49.5]
 [-110.0 50.599999999999994]
 [-110.0 51.70000000000001]
 [-110.0 52.80000000000001]
 [-110.0 53.900000000000006]
 [-110.0 55.0]
 [-110.0 56.099999999999994]
 [-110.0 57.20000000000001]
 [-110.0 58.30000000000001]
 [-110.0 59.400000000000006]
 [-110.0 60.5]
 [-110.0 61.599999999999994]
 [-110.0 62.70000000000001]
 [-110.0 63.80000000000001]
 [-110.0 64.9]
 [-110.0 66.0]
 [-110.0 67.10000000000002]
 [-110.0 68.20000000000003]
 [-110.0 69.30000000000001]
 [-110.0 70.40000000000002]
 [-110.0 71.50000000000004]
 [-110.0 72.60000000000002]
 [-110.0 73.70000000000003]
 [-110.0 74.80000000000001]
 [-110.0 75.90000000000002]
 [-110.0 77.00000000000004]
 [-110.0 78.10000000000002]
 [-110.0 79.20000000000003]
 [-110.0 80.30000000000001]
 [-110.0 81.40000000000002]
 [-110.0 82.50000000000004]
 [-110.0 83.60000000000002]
 [-110.0 84.70000000000003]
 [-110.0 85.80000000000001]
 [-110.0 86.90000000000002]
 [-110.0 88.00000000000004]
 [-110.0 89.10000000000002]
 [-110.0 90.20000000000003]
 [-110.0 91.30000000000001]
 [-110.0 92.40000000000002]
 [-110.0 93.50000000000004]
 [-110.0 94.60000000000002]
 [-110.0 95.70000000000003]
 [-110.0 96.80000000000001]
 [-110.0 97.90000000000002]
 [-110.0 99.00000000000004]
 [-110.0 100.10000000000002]
 [-110.0 101.20000000000003]
 [-110.0 102.30000000000004]
 [-110.0 103.40000000000002]
 [-110.0 104.50000000000004]
 [-110.0 105.60000000000002]
 [-110.0 106.70000000000003]
 [-110.0 107.80000000000004]
 [-110.0 108.90000000000002]
 [-110.0 110.00000000000004]
 [-110.0 111.10000000000002]
 [-110.0 112.20000000000003]
 [-110.0 113.30000000000004]
 [-110.0 114.40000000000002]
 [-110.0 115.50000000000004]
 [-110.0 116.60000000000002]
 [-110.0 117.70000000000003]
 [-110.0 118.80000000000004]
 [-110.0 119.90000000000002]
 [-110.00000000000007 121.00000000000004]
 [-112.11000000000003 122.10000000000002]
 [-114.24000000000007 123.20000000000003]
 [-116.39000000000009 124.30000000000004]
 [-118.56000000000004 125.40000000000002]
 [-120.75000000000009 126.50000000000004]
 [-122.96000000000004 127.60000000000002]
 [-125.19000000000007 128.70000000000005]
 [-127.4400000000001 129.80000000000004]
 [-129.71000000000004 130.90000000000003]
 [-132.00000000000009 132.00000000000003]
 [-134.31000000000003 133.10000000000002]
 [-136.64000000000007 134.20000000000005]
 [-138.9900000000001 135.30000000000004]
 [-141.36000000000004 136.40000000000003]
 [-143.75000000000009 137.50000000000003]
 [-146.16000000000003 138.60000000000002]
 [-148.59000000000006 139.70000000000005]
 [-151.0400000000001 140.80000000000004]
 [-153.51000000000005 141.90000000000003]
 [-156.00000000000009 143.00000000000003]
 [-158.51000000000005 144.10000000000002]
 [-161.04000000000008 145.20000000000005]
 [-163.59000000000012 146.30000000000004]
 [-166.16000000000005 147.40000000000003]
 [-168.75000000000009 148.50000000000003]
 [-171.36000000000004 149.60000000000002]
 [-173.99000000000007 150.70000000000005]
 [-176.6400000000001 151.80000000000004]
 [-179.31000000000006 152.90000000000003]
 [-182.00000000000009 154.00000000000003]
 [-184.71000000000004 155.10000000000002]
 [-187.44000000000008 156.20000000000005]
 [-190.1900000000001 157.30000000000004]
 [-192.96000000000006 158.40000000000003]
 [-195.7500000000001 159.50000000000003]
 [-198.56000000000003 160.60000000000002]
 [-201.39000000000007 161.70000000000005]
 [-204.24000000000012 162.80000000000004]
 [-207.11000000000007 163.90000000000003]
 [-210.0000000000001 165.00000000000003]
 [-212.91000000000005 166.10000000000002]
 [-215.8400000000001 167.20000000000005]
 [-218.79000000000013 168.30000000000004]
 [-221.76000000000008 169.40000000000003]
 [-224.7500000000001 170.50000000000003]
 [-227.76000000000005 171.60000000000002]
 [-230.79000000000008 172.70000000000005]
 [-233.84000000000012 173.80000000000004]
 [-236.91000000000005 174.90000000000003]
 [-240.0000000000001 176.00000000000003]
 [-243.11000000000004 177.10000000000002]
 [-246.2400000000001 178.20000000000005]
 [-249.39000000000013 179.30000000000004]
 [-252.56000000000006 180.40000000000003]
 [-255.7500000000001 181.50000000000003]
 [-258.96000000000004 182.60000000000002]
 [-262.1900000000001 183.70000000000005]
 [-265.4400000000001 184.80000000000004]
 [-268.7100000000001 185.90000000000003]
 [-272.0000000000001 187.00000000000003]
 [-275.31000000000006 188.10000000000002]
 [-278.6400000000001 189.20000000000005]
 [-281.9900000000001 190.30000000000004]
 [-285.36000000000007 191.40000000000003]
 [-288.7500000000001 192.50000000000003]
 [-292.16 193.60000000000002]
 [-295.5900000000001 194.70000000000005]
 [-299.04000000000013 195.80000000000004]
 [-302.51000000000005 196.90000000000003]
 [-306.0000000000001 198.00000000000003]
 [-309.51000000000005 199.10000000000002]
 [-313.0400000000001 200.20000000000005]
 [-316.59000000000015 201.30000000000004]
 [-320.1600000000001 202.40000000000003]
 [-323.7500000000001 203.50000000000003]
 [-327.36000000000007 204.60000000000002]
 [-330.9900000000001 205.70000000000005]
 [-334.64000000000016 206.80000000000004]
 [-338.31000000000006 207.90000000000003]
 [-342.0000000000001 209.00000000000003]
 [-345.71000000000004 210.10000000000002]
 [-349.4400000000001 211.20000000000005]
 [-353.19000000000017 212.30000000000004]
 [-356.9600000000001 213.40000000000003]
 [-360.7500000000001 214.50000000000003]
 [-364.56000000000006 215.60000000000002]
 [-368.3900000000001 216.70000000000005]
 [-372.2400000000002 217.80000000000004]
 [-376.11000000000007 218.90000000000003]
 [-380.0000000000001 220.00000000000003]]

In [10]:
print(boxweite_f2)


[   2.09    4.16    6.21    8.24   10.25   12.24   14.21   16.16   18.09
   20.     21.89   23.76   25.61   27.44   29.25   31.04   32.81   34.56
   36.29   38.     39.69   41.36   43.01   44.64   46.25   47.84   49.41
   50.96   52.49   54.     55.49   56.96   58.41   59.84   61.25   62.64
   64.01   65.36   66.69   68.     69.29   70.56   71.81   73.04   74.25
   75.44   76.61   77.76   78.89   80.     81.09   82.16   83.21   84.24
   85.25   86.24   87.21   88.16   89.09   90.     90.89   91.76   92.61
   93.44   94.25   95.04   95.81   96.56   97.29   98.     98.69   99.36
  100.01  100.64  101.25  101.84  102.41  102.96  103.49  104.    104.49
  104.96  105.41  105.84  106.25  106.64  107.01  107.36  107.69  108.
  108.29  108.56  108.81  109.04  109.25  109.44  109.61  109.76  109.89
  110.    111.1   112.2   113.3   114.4   115.5   116.6   117.7   118.8
  119.9   121.    122.1   123.2   124.3   125.4   126.5   127.6   128.7
  129.8   130.9   132.    133.1   134.2   135.3   136.4   137.5   138.6
  139.7   140.8   141.9   143.    144.1   145.2   146.3   147.4   148.5
  149.6   150.7   151.8   152.9   154.    155.1   156.2   157.3   158.4
  159.5   160.6   161.7   162.8   163.9   165.    166.1   167.2   168.3
  169.4   170.5   171.6   172.7   173.8   174.9   176.    177.1   178.2
  179.3   180.4   181.5   182.6   183.7   184.8   185.9   187.    188.1
  189.2   190.3   191.4   192.5   193.6   194.7   195.8   196.9   198.
  199.1   200.2   201.3   202.4   203.5   204.6   205.7   206.8   207.9
  209.    210.1   211.2   212.3   213.4   214.5   215.6   216.7   217.8
  218.9   220.    221.1   222.2   223.3   224.4   225.5   226.6   227.7
  228.8   229.9   231.    234.21  237.44  240.69  243.96  247.25  250.56
  253.89  257.24  260.61  264.    267.41  270.84  274.29  277.76  281.25
  284.76  288.29  291.84  295.41  299.    302.61  306.24  309.89  313.56
  317.25  320.96  324.69  328.44  332.21  336.    339.81  343.64  347.49
  351.36  355.25  359.16  363.09  367.04  371.01  375.    379.01  383.04
  387.09  391.16  395.25  399.36  403.49  407.64  411.81  416.    420.21
  424.44  428.69  432.96  437.25  441.56  445.89  450.24  454.61  459.
  463.41  467.84  472.29  476.76  481.25  485.76  490.29  494.84  499.41
  504.    508.61  513.24  517.89  522.56  527.25  531.96  536.69  541.44
  546.21  551.    555.81  560.64  565.49  570.36  575.25  580.16  585.09
  590.04  595.01  600.  ]

In [11]:
print(boxweite_f1)


[   2.09    4.16    6.21    8.24   10.25   12.24   14.21   16.16   18.09
   20.     21.89   23.76   25.61   27.44   29.25   31.04   32.81   34.56
   36.29   38.     39.69   41.36   43.01   44.64   46.25   47.84   49.41
   50.96   52.49   54.     55.49   56.96   58.41   59.84   61.25   62.64
   64.01   65.36   66.69   68.     69.29   70.56   71.81   73.04   74.25
   75.44   76.61   77.76   78.89   80.     81.09   82.16   83.21   84.24
   85.25   86.24   87.21   88.16   89.09   90.     90.89   91.76   92.61
   93.44   94.25   95.04   95.81   96.56   97.29   98.     98.69   99.36
  100.01  100.64  101.25  101.84  102.41  102.96  103.49  104.    104.49
  104.96  105.41  105.84  106.25  106.64  107.01  107.36  107.69  108.
  108.29  108.56  108.81  109.04  109.25  109.44  109.61  109.76  109.89
  110.    111.1   112.2   113.3   114.4   115.5   116.6   117.7   118.8
  119.9   121.    122.1   123.2   124.3   125.4   126.5   127.6   128.7
  129.8   130.9   132.    133.1   134.2   135.3   136.4   137.5   138.6
  139.7   140.8   141.9   143.    144.1   145.2   146.3   147.4   148.5
  149.6   150.7   151.8   152.9   154.    155.1   156.2   157.3   158.4
  159.5   160.6   161.7   162.8   163.9   165.    166.1   167.2   168.3
  169.4   170.5   171.6   172.7   173.8   174.9   176.    177.1   178.2
  179.3   180.4   181.5   182.6   183.7   184.8   185.9   187.    188.1
  189.2   190.3   191.4   192.5   193.6   194.7   195.8   196.9   198.
  199.1   200.2   201.3   202.4   203.5   204.6   205.7   206.8   207.9
  209.    210.1   211.2   212.3   213.4   214.5   215.6   216.7   217.8
  218.9   220.    223.11  226.24  229.39  232.56  235.75  238.96  242.19
  245.44  248.71  252.    255.31  258.64  261.99  265.36  268.75  272.16
  275.59  279.04  282.51  286.    289.51  293.04  296.59  300.16  303.75
  307.36  310.99  314.64  318.31  322.    325.71  329.44  333.19  336.96
  340.75  344.56  348.39  352.24  356.11  360.    363.91  367.84  371.79
  375.76  379.75  383.76  387.79  391.84  395.91  400.    404.11  408.24
  412.39  416.56  420.75  424.96  429.19  433.44  437.71  442.    446.31
  450.64  454.99  459.36  463.75  468.16  472.59  477.04  481.51  486.
  490.51  495.04  499.59  504.16  508.75  513.36  517.99  522.64  527.31
  532.    536.71  541.44  546.19  550.96  555.75  560.56  565.39  570.24
  575.11  580.    584.91  589.84  594.79  599.76  604.75  609.76  614.79
  619.84  624.91  630.  ]

In [12]:
print(boxweite_f3)


[   2.09    4.16    6.21    8.24   10.25   12.24   14.21   16.16   18.09
   20.     21.89   23.76   25.61   27.44   29.25   31.04   32.81   34.56
   36.29   38.     39.69   41.36   43.01   44.64   46.25   47.84   49.41
   50.96   52.49   54.     55.49   56.96   58.41   59.84   61.25   62.64
   64.01   65.36   66.69   68.     69.29   70.56   71.81   73.04   74.25
   75.44   76.61   77.76   78.89   80.     81.09   82.16   83.21   84.24
   85.25   86.24   87.21   88.16   89.09   90.     90.89   91.76   92.61
   93.44   94.25   95.04   95.81   96.56   97.29   98.     98.69   99.36
  100.01  100.64  101.25  101.84  102.41  102.96  103.49  104.    104.49
  104.96  105.41  105.84  106.25  106.64  107.01  107.36  107.69  108.
  108.29  108.56  108.81  109.04  109.25  109.44  109.61  109.76  109.89
  110.    110.09  110.16  110.21  110.24  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25  110.25
  110.25  110.25  110.25  112.36  114.49  116.64  118.81  121.    123.21
  125.44  127.69  129.96  132.25  134.56  136.89  139.24  141.61  144.
  146.41  148.84  151.29  153.76  156.25  158.76  161.29  163.84  166.41
  169.    171.61  174.24  176.89  179.56  182.25  184.96  187.69  190.44
  193.21  196.    198.81  201.64  204.49  207.36  210.25  213.16  216.09
  219.04  222.01  225.    228.01  231.04  234.09  237.16  240.25  243.36
  246.49  249.64  252.81  256.    259.21  262.44  265.69  268.96  272.25
  275.56  278.89  282.24  285.61  289.    292.41  295.84  299.29  302.76
  306.25  309.76  313.29  316.84  320.41  324.    327.61  331.24  334.89
  338.56  342.25  345.96  349.69  353.44  357.21  361.    364.81  368.64
  372.49  376.36  380.25]