"""
gausskernel.py
Vasco Flores

unidim:
0.00081721 0.02804124 0.23392411 0.47442500 0.23392411 0.02804124 0.00081721
sum:
0.9999901346984609

bidim:
0.00000067 0.00002292 0.00019117 0.00038771 0.00019117 0.00002292 0.00000067
0.00002292 0.00078631 0.00655952 0.01330347 0.00655952 0.00078631 0.00002292
0.00019117 0.00655952 0.05472049 0.11097945 0.05472049 0.00655952 0.00019117
0.00038771 0.01330347 0.11097945 0.22507908 0.11097945 0.01330347 0.00038771
0.00019117 0.00655952 0.05472049 0.11097945 0.05472049 0.00655952 0.00019117
0.00002292 0.00078631 0.00655952 0.01330347 0.00655952 0.00078631 0.00002292
0.00000067 0.00002292 0.00019117 0.00038771 0.00019117 0.00002292 0.00000067
sum:
0.9999802694942458
"""

import math

def gauss1(x, sigma) :
  t = 2.0*sigma*sigma
  return math.exp(-(x*x)/t)/(math.sqrt(math.pi*t))

def gauss2(x, y, sigma) :
  t = 2.0*sigma*sigma
  return math.exp(-(x*x + y*y)/t)/(math.pi*t)

def genGauss1(sigma, r):
  a = []
  for x in range(-r, r+1):
    a.append(gauss1(x, sigma))
  return a

def genGauss2(sigma, r):
  a = []
  for y in range(-r, r+1):
    b = []
    for x in range(-r, r+1):
      b.append(gauss2(x, y, sigma))
    a.append(b)
  return a


sigma = 0.84089642
r = math.ceil(3*sigma)

uni = genGauss1(sigma, r)
bidi = genGauss2(sigma, r)

print("unidim:")
print(" ".join(["{:10.8f}".format(n) for n in uni]))

print("sum:")
print(sum(uni))

print("\nbidim:")
for l in bidi:
  print(" ".join(["{:10.8f}".format(n) for n in l]))

print("sum:")
print(sum(sum(l) for l in bidi))