#coding=utf-8
import numpy
'''''
Author: afanty
Date:  2016/6/23
'''
def helixMatrix(n):
  '''''實現n維螺旋矩陣的填充
  :param n:維數
  :return:螺旋矩陣
  '''
  if not isinstance(n, int) or n <= 0:
    raise ValueError('請輸入合適的維數')
  matrix = numpy.zeros((n, n))
  left_top = 0
  right_buttom = n - 1
  number = 1
  while left_top < right_buttom:
    # 向右移動，橫坐標不變，縱坐標+1，number+1
    i = left_top
    while i < right_buttom:
      matrix[left_top][i] = number
      i += 1
      number += 1
    # while
    # 向下移動，縱坐標不變，橫坐標+1，number+1
    i = left_top
    while i < right_buttom:
      matrix[i][right_buttom] = number
      i += 1
      number += 1
    #while
    # 向左移動，橫坐標不變，縱坐標-1，number+1
    i = right_buttom
    while i > left_top:
      matrix[right_buttom][i] = number
      i -= 1
      number += 1
    # while
    # 向上移動，縱坐標不變，橫坐標-1，number+1
    i = right_buttom
    while i > left_top:
      matrix[i][left_top] = number
      i -= 1
      number += 1
    # while
    left_top += 1
    right_buttom -= 1
  # while
  if n % 2 != 0:
    matrix[n / 2][n / 2] = n * n
  return matrix
# end
print("腳本之家測試結果：")
print helixMatrix(5)