-->

小白眼中的AI之~Numpy基础

2020-12-02 08:45发布

 

周末码一文,明天见矩阵~

其实Numpy之类的单讲特别没意思,但不稍微说下后面说实际应用又不行,所以大家就练练手吧

代码裤子: https://github.com/lotapp/BaseCode

在线编程: https://mybinder.org/v2/gh/lotapp/BaseCode/master

在线地址: http://github.lesschina.com/python/ai/numpy

1.数组定义、常见属性 ¶

引入一下 Numpy模块, Numpy的数组使用可以查看一下帮助文档, Numpyarray数组类型必须是一致的(后面会讲)

In [1]:
# 导入Numpy模块
import numpy as np
In [2]:
help(np.array) #或者用 np.array? 查看
 
Help on built-in function array in module numpy.core.multiarray:

array(...)
    array(object, dtype=None, copy=True, order='K', subok=False, ndmin=0)
    
    Create an array.
    
    Parameters
    ----------
    object : array_like
        An array, any object exposing the array interface, an object whose
        __array__ method returns an array, or any (nested) sequence.
    dtype : data-type, optional
        The desired data-type for the array.  If not given, then the type will
        be determined as the minimum type required to hold the objects in the
        sequence.  This argument can only be used to 'upcast' the array.  For
        downcasting, use the .astype(t) method.
    copy : bool, optional
        If true (default), then the object is copied.  Otherwise, a copy will
        only be made if __array__ returns a copy, if obj is a nested sequence,
        or if a copy is needed to satisfy any of the other requirements
        (`dtype`, `order`, etc.).
    order : {'K', 'A', 'C', 'F'}, optional
        Specify the memory layout of the array. If object is not an array, the
        newly created array will be in C order (row major) unless 'F' is
        specified, in which case it will be in Fortran order (column major).
        If object is an array the following holds.
    
        ===== ========= ===================================================
        order  no copy                     copy=True
        ===== ========= ===================================================
        'K'   unchanged F & C order preserved, otherwise most similar order
        'A'   unchanged F order if input is F and not C, otherwise C order
        'C'   C order   C order
        'F'   F order   F order
        ===== ========= ===================================================
    
        When ``copy=False`` and a copy is made for other reasons, the result is
        the same as if ``copy=True``, with some exceptions for `A`, see the
        Notes section. The default order is 'K'.
    subok : bool, optional
        If True, then sub-classes will be passed-through, otherwise
        the returned array will be forced to be a base-class array (default).
    ndmin : int, optional
        Specifies the minimum number of dimensions that the resulting
        array should have.  Ones will be pre-pended to the shape as
        needed to meet this requirement.
    
    Returns
    -------
    out : ndarray
        An array object satisfying the specified requirements.
    
    See Also
    --------
    empty, empty_like, zeros, zeros_like, ones, ones_like, full, full_like
    
    Notes
    -----
    When order is 'A' and `object` is an array in neither 'C' nor 'F' order,
    and a copy is forced by a change in dtype, then the order of the result is
    not necessarily 'C' as expected. This is likely a bug.
    
    Examples
    --------
    >>> np.array([1, 2, 3])
    array([1, 2, 3])
    
    Upcasting:
    
    >>> np.array([1, 2, 3.0])
    array([ 1.,  2.,  3.])
    
    More than one dimension:
    
    >>> np.array([[1, 2], [3, 4]])
    array([[1, 2],
           [3, 4]])
    
    Minimum dimensions 2:
    
    >>> np.array([1, 2, 3], ndmin=2)
    array([[1, 2, 3]])
    
    Type provided:
    
    >>> np.array([1, 2, 3], dtype=complex)
    array([ 1.+0.j,  2.+0.j,  3.+0.j])
    
    Data-type consisting of more than one element:
    
    >>> x = np.array([(1,2),(3,4)],dtype=[('a','<i4'),('b','<i4')])
    >>> x['a']
    array([1, 3])
    
    Creating an array from sub-classes:
    
    >>> np.array(np.mat('1 2; 3 4'))
    array([[1, 2],
           [3, 4]])
    
    >>> np.array(np.mat('1 2; 3 4'), subok=True)
    matrix([[1, 2],
            [3, 4]])

 

1.1.通过List创建数组 ¶

np.array(list)

注意

print(np.array([1,2,3,4,5]))np.array([1,2,3,4,5])

在交互摸索下显示是稍微有点区别的,千万别以为是不一样的东西

In [3]:
# 构造一个list1
list1 = list(range(10))
print(list1)

# 通过List创建一个一维数组
array1 = np.array(list1)

print(array1)
type(array1)
 
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
[0 1 2 3 4 5 6 7 8 9]
Out[3]:
numpy.ndarray
In [4]:
# 你直接写也一样
test_array = np.array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])

print(test_array)
type(test_array)
 
[0 1 2 3 4 5 6 7 8 9]
Out[4]:
numpy.ndarray
In [5]:
# 创建一个嵌套列表
list2 = [list1,list1]
print(list2)

# 通过嵌套列表创建二维数组
array2 = np.array(list2)
print(array2)
 
[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]
[[0 1 2 3 4 5 6 7 8 9]
 [0 1 2 3 4 5 6 7 8 9]]
In [6]:
# 创建3维数组
array3 = np.array([
    [[1,2,3],[4,5,6],[7,8,9]],
    [[1,2,3],[4,5,6],[7,8,9]]
])

print(array3)
type(array3)
 
[[[1 2 3]
  [4 5 6]
  [7 8 9]]

 [[1 2 3]
  [4 5 6]
  [7 8 9]]]
Out[6]:
numpy.ndarray
In [7]:
################### 扩展部分 ########################

# 其实你通过元组创建也一样,只是官方演示文档里面用的是list

# 逆天推荐使用列表(和官方文档一致嘛)
In [8]:
# 一维数组
np.array((1,2,3,4,5))
Out[8]:
array([1, 2, 3, 4, 5])
In [9]:
# 都是一个数组,你print和直接输入名字是稍微有点区别的
# 千万别以为是不一样东西

print(np.array((1,2,3,4,5)))
 
[1 2 3 4 5]
In [10]:
# 二维数组
np.array(((1,2,3),(4,5,6)))
Out[10]:
array([[1, 2, 3],
       [4, 5, 6]])
In [11]:
# 二维数组,这种方式也一样
np.array(([1,2,3],[4,5,6]))
Out[11]:
array([[1, 2, 3],
       [4, 5, 6]])
 

1.2.常用属性 ¶

ndim 查看数组维度

shape 查看数组形状

size 查看数组含有多少元素(行*列)

dtype 查看元素的数据类型

In [12]:
help(array2)
 
Help on ndarray object:

class ndarray(builtins.object)
 |  ndarray(shape, dtype=float, buffer=None, offset=0,
 |          strides=None, order=None)
 |  
 |  An array object represents a multidimensional, homogeneous array
 |  of fixed-size items.  An associated data-type object describes the
 |  format of each element in the array (its byte-order, how many bytes it
 |  occupies in memory, whether it is an integer, a floating point number,
 |  or something else, etc.)
 |  
 |  Arrays should be constructed using `array`, `zeros` or `empty` (refer
 |  to the See Also section below).  The parameters given here refer to
 |  a low-level method (`ndarray(...)`) for instantiating an array.
 |  
 |  For more information, refer to the `numpy` module and examine the
 |  methods and attributes of an array.
 |  
 |  Parameters
 |  ----------
 |  (for the __new__ method; see Notes below)
 |  
 |  shape : tuple of ints
 |      Shape of created array.
 |  dtype : data-type, optional
 |      Any object that can be interpreted as a numpy data type.
 |  buffer : object exposing buffer interface, optional
 |      Used to fill the array with data.
 |  offset : int, optional
 |      Offset of array data in buffer.
 |  strides : tuple of ints, optional
 |      Strides of data in memory.
 |  order : {'C', 'F'}, optional
 |      Row-major (C-style) or column-major (Fortran-style) order.
 |  
 |  Attributes
 |  ----------
 |  T : ndarray
 |      Transpose of the array.
 |  data : buffer
 |      The array's elements, in memory.
 |  dtype : dtype object
 |      Describes the format of the elements in the array.
 |  flags : dict
 |      Dictionary containing information related to memory use, e.g.,
 |      'C_CONTIGUOUS', 'OWNDATA', 'WRITEABLE', etc.
 |  flat : numpy.flatiter object
 |      Flattened version of the array as an iterator.  The iterator
 |      allows assignments, e.g., ``x.flat = 3`` (See `ndarray.flat` for
 |      assignment examples; TODO).
 |  imag : ndarray
 |      Imaginary part of the array.
 |  real : ndarray
 |      Real part of the array.
 |  size : int
 |      Number of elements in the array.
 |  itemsize : int
 |      The memory use of each array element in bytes.
 |  nbytes : int
 |      The total number of bytes required to store the array data,
 |      i.e., ``itemsize * size``.
 |  ndim : int
 |      The array's number of dimensions.
 |  shape : tuple of ints
 |      Shape of the array.
 |  strides : tuple of ints
 |      The step-size required to move from one element to the next in
 |      memory. For example, a contiguous ``(3, 4)`` array of type
 |      ``int16`` in C-order has strides ``(8, 2)``.  This implies that
 |      to move from element to element in memory requires jumps of 2 bytes.
 |      To move from row-to-row, one needs to jump 8 bytes at a time
 |      (``2 * 4``).
 |  ctypes : ctypes object
 |      Class containing properties of the array needed for interaction
 |      with ctypes.
 |  base : ndarray
 |      If the array is a view into another array, that array is its `base`
 |      (unless that array is also a view).  The `base` array is where the
 |      array data is actually stored.
 |  
 |  See Also
 |  --------
 |  array : Construct an array.
 |  zeros : Create an array, each element of which is zero.
 |  empty : Create an array, but leave its allocated memory unchanged (i.e.,
 |          it contains "garbage").
 |  dtype : Create a data-type.
 |  
 |  Notes
 |  -----
 |  There are two modes of creating an array using ``__new__``:
 |  
 |  1. If `buffer` is None, then only `shape`, `dtype`, and `order`
 |     are used.
 |  2. If `buffer` is an object exposing the buffer interface, then
 |     all keywords are interpreted.
 |  
 |  No ``__init__`` method is needed because the array is fully initialized
 |  after the ``__new__`` method.
 |  
 |  Examples
 |  --------
 |  These examples illustrate the low-level `ndarray` constructor.  Refer
 |  to the `See Also` section above for easier ways of constructing an
 |  ndarray.
 |  
 |  First mode, `buffer` is None:
 |  
 |  >>> np.ndarray(shape=(2,2), dtype=float, order='F')
 |  array([[ -1.13698227e+002,   4.25087011e-303],
 |         [  2.88528414e-306,   3.27025015e-309]])         #random
 |  
 |  Second mode:
 |  
 |  >>> np.ndarray((2,), buffer=np.array([1,2,3]),
 |  ...            offset=np.int_().itemsize,
 |  ...            dtype=int) # offset = 1*itemsize, i.e. skip first element
 |  array([2, 3])
 |  
 |  Methods defined here:
 |  
 |  __abs__(self, /)
 |      abs(self)
 |  
 |  __add__(self, value, /)
 |      Return self+value.
 |  
 |  __and__(self, value, /)
 |      Return self&value.
 |  
 |  __array__(...)
 |      a.__array__(|dtype) -> reference if type unchanged, copy otherwise.
 |      
 |      Returns either a new reference to self if dtype is not given or a new array
 |      of provided data type if dtype is different from the current dtype of the
 |      array.
 |  
 |  __array_prepare__(...)
 |      a.__array_prepare__(obj) -> Object of same type as ndarray object obj.
 |  
 |  __array_ufunc__(...)
 |  
 |  __array_wrap__(...)
 |      a.__array_wrap__(obj) -> Object of same type as ndarray object a.
 |  
 |  __bool__(self, /)
 |      self != 0
 |  
 |  __complex__(...)
 |  
 |  __contains__(self, key, /)
 |      Return key in self.
 |  
 |  __copy__(...)
 |      a.__copy__()
 |      
 |      Used if :func:`copy.copy` is called on an array. Returns a copy of the array.
 |      
 |      Equivalent to ``a.copy(order='K')``.
 |  
 |  __deepcopy__(...)
 |      a.__deepcopy__(memo, /) -> Deep copy of array.
 |      
 |      Used if :func:`copy.deepcopy` is called on an array.
 |  
 |  __delitem__(self, key, /)
 |      Delete self[key].
 |  
 |  __divmod__(self, value, /)
 |      Return divmod(self, value).
 |  
 |  __eq__(self, value, /)
 |      Return self==value.
 |  
 |  __float__(self, /)
 |      float(self)
 |  
 |  __floordiv__(self, value, /)
 |      Return self//value.
 |  
 |  __format__(...)
 |      default object formatter
 |  
 |  __ge__(self, value, /)
 |      Return self>=value.
 |  
 |  __getitem__(self, key, /)
 |      Return self[key].
 |  
 |  __gt__(self, value, /)
 |      Return self>value.
 |  
 |  __iadd__(self, value, /)
 |      Return self+=value.
 |  
 |  __iand__(self, value, /)
 |      Return self&=value.
 |  
 |  __ifloordiv__(self, value, /)
 |      Return self//=value.
 |  
 |  __ilshift__(self, value, /)
 |      Return self<<=value.
 |  
 |  __imatmul__(self, value, /)
 |      Return self@=value.
 |  
 |  __imod__(self, value, /)
 |      Return self%=value.
 |  
 |  __imul__(self, value, /)
 |      Return self*=value.
 |  
 |  __index__(self, /)
 |      Return self converted to an integer, if self is suitable for use as an index into a list.
 |  
 |  __int__(self, /)
 |      int(self)
 |  
 |  __invert__(self, /)
 |      ~self
 |  
 |  __ior__(self, value, /)
 |      Return self|=value.
 |  
 |  __ipow__(self, value, /)
 |      Return self**=value.
 |  
 |  __irshift__(self, value, /)
 |      Return self>>=value.
 |  
 |  __isub__(self, value, /)
 |      Return self-=value.
 |  
 |  __iter__(self, /)
 |      Implement iter(self).
 |  
 |  __itruediv__(self, value, /)
 |      Return self/=value.
 |  
 |  __ixor__(self, value, /)
 |      Return self^=value.
 |  
 |  __le__(self, value, /)
 |      Return self<=value.
 |  
 |  __len__(self, /)
 |      Return len(self).
 |  
 |  __lshift__(self, value, /)
 |      Return self<<value.
 |  
 |  __lt__(self, value, /)
 |      Return self<value.
 |  
 |  __matmul__(self, value, /)
 |      Return self@value.
 |  
 |  __mod__(self, value, /)
 |      Return self%value.
 |  
 |  __mul__(self, value, /)
 |      Return self*value.
 |  
 |  __ne__(self, value, /)
 |      Return self!=value.
 |  
 |  __neg__(self, /)
 |      -self
 |  
 |  __new__(*args, **kwargs) from builtins.type
 |      Create and return a new object.  See help(type) for accurate signature.
 |  
 |  __or__(self, value, /)
 |      Return self|value.
 |  
 |  __pos__(self, /)
 |      +self
 |  
 |  __pow__(self, value, mod=None, /)
 |      Return pow(self, value, mod).
 |  
 |  __radd__(self, value, /)
 |      Return value+self.
 |  
 |  __rand__(self, value, /)
 |      Return value&self.
 |  
 |  __rdivmod__(self, value, /)
 |      Return divmod(value, self).
 |  
 |  __reduce__(...)
 |      a.__reduce__()
 |      
 |      For pickling.
 |  
 |  __repr__(self, /)
 |      Return repr(self).
 |  
 |  __rfloordiv__(self, value, /)
 |      Return value//self.
 |  
 |  __rlshift__(self, value, /)
 |      Return value<<self.
 |  
 |  __rmatmul__(self, value, /)
 |      Return value@self.
 |  
 |  __rmod__(self, value, /)
 |      Return value%self.
 |  
 |  __rmul__(self, value, /)
 |      Return value*self.
 |  
 |  __ror__(self, value, /)
 |      Return value|self.
 |  
 |  __rpow__(self, value, mod=None, /)
 |      Return pow(value, self, mod).
 |  
 |  __rrshift__(self, value, /)
 |      Return value>>self.
 |  
 |  __rshift__(self, value, /)
 |      Return self>>value.
 |  
 |  __rsub__(self, value, /)
 |      Return value-self.
 |  
 |  __rtruediv__(self, value, /)
 |      Return value/self.
 |  
 |  __rxor__(self, value, /)
 |      Return value^self.
 |  
 |  __setitem__(self, key, value, /)
 |      Set self[key] to value.
 |  
 |  __setstate__(...)
 |      a.__setstate__(state, /)
 |      
 |      For unpickling.
 |      
 |      The `state` argument must be a sequence that contains the following
 |      elements:
 |      
 |      Parameters
 |      ----------
 |      version : int
 |          optional pickle version. If omitted defaults to 0.
 |      shape : tuple
 |      dtype : data-type
 |      isFortran : bool
 |      rawdata : string or list
 |          a binary string with the data (or a list if 'a' is an object array)
 |  
 |  __sizeof__(...)
 |      __sizeof__() -> int
 |      size of object in memory, in bytes
 |  
 |  __str__(self, /)
 |      Return str(self).
 |  
 |  __sub__(self, value, /)
 |      Return self-value.
 |  
 |  __truediv__(self, value, /)
 |      Return self/value.
 |  
 |  __xor__(self, value, /)
 |      Return self^value.
 |  
 |  all(...)
 |      a.all(axis=None, out=None, keepdims=False)
 |      
 |      Returns True if all elements evaluate to True.
 |      
 |      Refer to `numpy.all` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.all : equivalent function
 |  
 |  any(...)
 |      a.any(axis=None, out=None, keepdims=False)
 |      
 |      Returns True if any of the elements of `a` evaluate to True.
 |      
 |      Refer to `numpy.any` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.any : equivalent function
 |  
 |  argmax(...)
 |      a.argmax(axis=None, out=None)
 |      
 |      Return indices of the maximum values along the given axis.
 |      
 |      Refer to `numpy.argmax` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.argmax : equivalent function
 |  
 |  argmin(...)
 |      a.argmin(axis=None, out=None)
 |      
 |      Return indices of the minimum values along the given axis of `a`.
 |      
 |      Refer to `numpy.argmin` for detailed documentation.
 |      
 |      See Also
 |      --------
 |      numpy.argmin : equivalent function
 |  
 |  argpartition(...)
 |      a.argpartition(kth, axis=-1, kind='introselect', order=None)
 |      
 |      Returns the indices that would partition this array.
 |      
 |      Refer to `numpy.argpartition` for full documentation.
 |      
 |      .. versionadded:: 1.8.0
 |      
 |      See Also
 |      --------
 |      numpy.argpartition : equivalent function
 |  
 |  argsort(...)
 |      a.argsort(axis=-1, kind='quicksort', order=None)
 |      
 |      Returns the indices that would sort this array.
 |      
 |      Refer to `numpy.argsort` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.argsort : equivalent function
 |  
 |  astype(...)
 |      a.astype(dtype, order='K', casting='unsafe', subok=True, copy=True)
 |      
 |      Copy of the array, cast to a specified type.
 |      
 |      Parameters
 |      ----------
 |      dtype : str or dtype
 |          Typecode or data-type to which the array is cast.
 |      order : {'C', 'F', 'A', 'K'}, optional
 |          Controls the memory layout order of the result.
 |          'C' means C order, 'F' means Fortran order, 'A'
 |          means 'F' order if all the arrays are Fortran contiguous,
 |          'C' order otherwise, and 'K' means as close to the
 |          order the array elements appear in memory as possible.
 |          Default is 'K'.
 |      casting : {'no', 'equiv', 'safe', 'same_kind', 'unsafe'}, optional
 |          Controls what kind of data casting may occur. Defaults to 'unsafe'
 |          for backwards compatibility.
 |      
 |            * 'no' means the data types should not be cast at all.
 |            * 'equiv' means only byte-order changes are allowed.
 |            * 'safe' means only casts which can preserve values are allowed.
 |            * 'same_kind' means only safe casts or casts within a kind,
 |              like float64 to float32, are allowed.
 |            * 'unsafe' means any data conversions may be done.
 |      subok : bool, optional
 |          If True, then sub-classes will be passed-through (default), otherwise
 |          the returned array will be forced to be a base-class array.
 |      copy : bool, optional
 |          By default, astype always returns a newly allocated array. If this
 |          is set to false, and the `dtype`, `order`, and `subok`
 |          requirements are satisfied, the input array is returned instead
 |          of a copy.
 |      
 |      Returns
 |      -------
 |      arr_t : ndarray
 |          Unless `copy` is False and the other conditions for returning the input
 |          array are satisfied (see description for `copy` input parameter), `arr_t`
 |          is a new array of the same shape as the input array, with dtype, order
 |          given by `dtype`, `order`.
 |      
 |      Notes
 |      -----
 |      Starting in NumPy 1.9, astype method now returns an error if the string
 |      dtype to cast to is not long enough in 'safe' casting mode to hold the max
 |      value of integer/float array that is being casted. Previously the casting
 |      was allowed even if the result was truncated.
 |      
 |      Raises
 |      ------
 |      ComplexWarning
 |          When casting from complex to float or int. To avoid this,
 |          one should use ``a.real.astype(t)``.
 |      
 |      Examples
 |      --------
 |      >>> x = np.array([1, 2, 2.5])
 |      >>> x
 |      array([ 1. ,  2. ,  2.5])
 |      
 |      >>> x.astype(int)
 |      array([1, 2, 2])
 |  
 |  byteswap(...)
 |      a.byteswap(inplace=False)
 |      
 |      Swap the bytes of the array elements
 |      
 |      Toggle between low-endian and big-endian data representation by
 |      returning a byteswapped array, optionally swapped in-place.
 |      
 |      Parameters
 |      ----------
 |      inplace : bool, optional
 |          If ``True``, swap bytes in-place, default is ``False``.
 |      
 |      Returns
 |      -------
 |      out : ndarray
 |          The byteswapped array. If `inplace` is ``True``, this is
 |          a view to self.
 |      
 |      Examples
 |      --------
 |      >>> A = np.array([1, 256, 8755], dtype=np.int16)
 |      >>> map(hex, A)
 |      ['0x1', '0x100', '0x2233']
 |      >>> A.byteswap(inplace=True)
 |      array([  256,     1, 13090], dtype=int16)
 |      >>> map(hex, A)
 |      ['0x100', '0x1', '0x3322']
 |      
 |      Arrays of strings are not swapped
 |      
 |      >>> A = np.array(['ceg', 'fac'])
 |      >>> A.byteswap()
 |      array(['ceg', 'fac'],
 |            dtype='|S3')
 |  
 |  choose(...)
 |      a.choose(choices, out=None, mode='raise')
 |      
 |      Use an index array to construct a new array from a set of choices.
 |      
 |      Refer to `numpy.choose` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.choose : equivalent function
 |  
 |  clip(...)
 |      a.clip(min=None, max=None, out=None)
 |      
 |      Return an array whose values are limited to ``[min, max]``.
 |      One of max or min must be given.
 |      
 |      Refer to `numpy.clip` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.clip : equivalent function
 |  
 |  compress(...)
 |      a.compress(condition, axis=None, out=None)
 |      
 |      Return selected slices of this array along given axis.
 |      
 |      Refer to `numpy.compress` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.compress : equivalent function
 |  
 |  conj(...)
 |      a.conj()
 |      
 |      Complex-conjugate all elements.
 |      
 |      Refer to `numpy.conjugate` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.conjugate : equivalent function
 |  
 |  conjugate(...)
 |      a.conjugate()
 |      
 |      Return the complex conjugate, element-wise.
 |      
 |      Refer to `numpy.conjugate` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.conjugate : equivalent function
 |  
 |  copy(...)
 |      a.copy(order='C')
 |      
 |      Return a copy of the array.
 |      
 |      Parameters
 |      ----------
 |      order : {'C', 'F', 'A', 'K'}, optional
 |          Controls the memory layout of the copy. 'C' means C-order,
 |          'F' means F-order, 'A' means 'F' if `a` is Fortran contiguous,
 |          'C' otherwise. 'K' means match the layout of `a` as closely
 |          as possible. (Note that this function and :func:`numpy.copy` are very
 |          similar, but have different default values for their order=
 |          arguments.)
 |      
 |      See also
 |      --------
 |      numpy.copy
 |      numpy.copyto
 |      
 |      Examples
 |      --------
 |      >>> x = np.array([[1,2,3],[4,5,6]], order='F')
 |      
 |      >>> y = x.copy()
 |      
 |      >>> x.fill(0)
 |      
 |      >>> x
 |      array([[0, 0, 0],
 |             [0, 0, 0]])
 |      
 |      >>> y
 |      array([[1, 2, 3],
 |             [4, 5, 6]])
 |      
 |      >>> y.flags['C_CONTIGUOUS']
 |      True
 |  
 |  cumprod(...)
 |      a.cumprod(axis=None, dtype=None, out=None)
 |      
 |      Return the cumulative product of the elements along the given axis.
 |      
 |      Refer to `numpy.cumprod` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.cumprod : equivalent function
 |  
 |  cumsum(...)
 |      a.cumsum(axis=None, dtype=None, out=None)
 |      
 |      Return the cumulative sum of the elements along the given axis.
 |      
 |      Refer to `numpy.cumsum` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.cumsum : equivalent function
 |  
 |  diagonal(...)
 |      a.diagonal(offset=0, axis1=0, axis2=1)
 |      
 |      Return specified diagonals. In NumPy 1.9 the returned array is a
 |      read-only view instead of a copy as in previous NumPy versions.  In
 |      a future version the read-only restriction will be removed.
 |      
 |      Refer to :func:`numpy.diagonal` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.diagonal : equivalent function
 |  
 |  dot(...)
 |      a.dot(b, out=None)
 |      
 |      Dot product of two arrays.
 |      
 |      Refer to `numpy.dot` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.dot : equivalent function
 |      
 |      Examples
 |      --------
 |      >>> a = np.eye(2)
 |      >>> b = np.ones((2, 2)) * 2
 |      >>> a.dot(b)
 |      array([[ 2.,  2.],
 |             [ 2.,  2.]])
 |      
 |      This array method can be conveniently chained:
 |      
 |      >>> a.dot(b).dot(b)
 |      array([[ 8.,  8.],
 |             [ 8.,  8.]])
 |  
 |  dump(...)
 |      a.dump(file)
 |      
 |      Dump a pickle of the array to the specified file.
 |      The array can be read back with pickle.load or numpy.load.
 |      
 |      Parameters
 |      ----------
 |      file : str
 |          A string naming the dump file.
 |  
 |  dumps(...)
 |      a.dumps()
 |      
 |      Returns the pickle of the array as a string.
 |      pickle.loads or numpy.loads will convert the string back to an array.
 |      
 |      Parameters
 |      ----------
 |      None
 |  
 |  fill(...)
 |      a.fill(value)
 |      
 |      Fill the array with a scalar value.
 |      
 |      Parameters
 |      ----------
 |      value : scalar
 |          All elements of `a` will be assigned this value.
 |      
 |      Examples
 |      --------
 |      >>> a = np.array([1, 2])
 |      >>> a.fill(0)
 |      >>> a
 |      array([0, 0])
 |      >>> a = np.empty(2)
 |      >>> a.fill(1)
 |      >>> a
 |      array([ 1.,  1.])
 |  
 |  flatten(...)
 |      a.flatten(order='C')
 |      
 |      Return a copy of the array collapsed into one dimension.
 |      
 |      Parameters
 |      ----------
 |      order : {'C', 'F', 'A', 'K'}, optional
 |          'C' means to flatten in row-major (C-style) order.
 |          'F' means to flatten in column-major (Fortran-
 |          style) order. 'A' means to flatten in column-major
 |          order if `a` is Fortran *contiguous* in memory,
 |          row-major order otherwise. 'K' means to flatten
 |          `a` in the order the elements occur in memory.
 |          The default is 'C'.
 |      
 |      Returns
 |      -------
 |      y : ndarray
 |          A copy of the input array, flattened to one dimension.
 |      
 |      See Also
 |      --------
 |      ravel : Return a flattened array.
 |      flat : A 1-D flat iterator over the array.
 |      
 |      Examples
 |      --------
 |      >>> a = np.array([[1,2], [3,4]])
 |      >>> a.flatten()
 |      array([1, 2, 3, 4])
 |      >>> a.flatten('F')
 |      array([1, 3, 2, 4])
 |  
 |  getfield(...)
 |      a.getfield(dtype, offset=0)
 |      
 |      Returns a field of the given array as a certain type.
 |      
 |      A field is a view of the array data with a given data-type. The values in
 |      the view are determined by the given type and the offset into the current
 |      array in bytes. The offset needs to be such that the view dtype fits in the
 |      array dtype; for example an array of dtype complex128 has 16-byte elements.
 |      If taking a view with a 32-bit integer (4 bytes), the offset needs to be
 |      between 0 and 12 bytes.
 |      
 |      Parameters
 |      ----------
 |      dtype : str or dtype
 |          The data type of the view. The dtype size of the view can not be larger
 |          than that of the array itself.
 |      offset : int
 |          Number of bytes to skip before beginning the element view.
 |      
 |      Examples
 |      --------
 |      >>> x = np.diag([1.+1.j]*2)
 |      >>> x[1, 1] = 2 + 4.j
 |      >>> x
 |      array([[ 1.+1.j,  0.+0.j],
 |             [ 0.+0.j,  2.+4.j]])
 |      >>> x.getfield(np.float64)
 |      array([[ 1.,  0.],
 |             [ 0.,  2.]])
 |      
 |      By choosing an offset of 8 bytes we can select the complex part of the
 |      array for our view:
 |      
 |      >>> x.getfield(np.float64, offset=8)
 |      array([[ 1.,  0.],
 |         [ 0.,  4.]])
 |  
 |  item(...)
 |      a.item(*args)
 |      
 |      Copy an element of an array to a standard Python scalar and return it.
 |      
 |      Parameters
 |      ----------
 |      \*args : Arguments (variable number and type)
 |      
 |          * none: in this case, the method only works for arrays
 |            with one element (`a.size == 1`), which element is
 |            copied into a standard Python scalar object and returned.
 |      
 |          * int_type: this argument is interpreted as a flat index into
 |            the array, specifying which element to copy and return.
 |      
 |          * tuple of int_types: functions as does a single int_type argument,
 |            except that the argument is interpreted as an nd-index into the
 |            array.
 |      
 |      Returns
 |      -------
 |      z : Standard Python scalar object
 |          A copy of the specified element of the array as a suitable
 |          Python scalar
 |      
 |      Notes
 |      -----
 |      When the data type of `a` is longdouble or clongdouble, item() returns
 |      a scalar array object because there is no available Python scalar that
 |      would not lose information. Void arrays return a buffer object for item(),
 |      unless fields are defined, in which case a tuple is returned.
 |      
 |      `item` is very similar to a[args], except, instead of an array scalar,
 |      a standard Python scalar is returned. This can be useful for speeding up
 |      access to elements of the array and doing arithmetic on elements of the
 |      array using Python's optimized math.
 |      
 |      Examples
 |      --------
 |      >>> x = np.random.randint(9, size=(3, 3))
 |      >>> x
 |      array([[3, 1, 7],
 |             [2, 8, 3],
 |             [8, 5, 3]])
 |      >>> x.item(3)
 |      2
 |      >>> x.item(7)
 |      5
 |      >>> x.item((0, 1))
 |      1
 |      >>> x.item((2, 2))
 |      3
 |  
 |  itemset(...)
 |      a.itemset(*args)
 |      
 |      Insert scalar into an array (scalar is cast to array's dtype, if possible)
 |      
 |      There must be at least 1 argument, and define the last argument
 |      as *item*.  Then, ``a.itemset(*args)`` is equivalent to but faster
 |      than ``a[args] = item``.  The item should be a scalar value and `args`
 |      must select a single item in the array `a`.
 |      
 |      Parameters
 |      ----------
 |      \*args : Arguments
 |          If one argument: a scalar, only used in case `a` is of size 1.
 |          If two arguments: the last argument is the value to be set
 |          and must be a scalar, the first argument specifies a single array
 |          element location. It is either an int or a tuple.
 |      
 |      Notes
 |      -----
 |      Compared to indexing syntax, `itemset` provides some speed increase
 |      for placing a scalar into a particular location in an `ndarray`,
 |      if you must do this.  However, generally this is discouraged:
 |      among other problems, it complicates the appearance of the code.
 |      Also, when using `itemset` (and `item`) inside a loop, be sure
 |      to assign the methods to a local variable to avoid the attribute
 |      look-up at each loop iteration.
 |      
 |      Examples
 |      --------
 |      >>> x = np.random.randint(9, size=(3, 3))
 |      >>> x
 |      array([[3, 1, 7],
 |             [2, 8, 3],
 |             [8, 5, 3]])
 |      >>> x.itemset(4, 0)
 |      >>> x.itemset((2, 2), 9)
 |      >>> x
 |      array([[3, 1, 7],
 |             [2, 0, 3],
 |             [8, 5, 9]])
 |  
 |  max(...)
 |      a.max(axis=None, out=None, keepdims=False)
 |      
 |      Return the maximum along a given axis.
 |      
 |      Refer to `numpy.amax` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.amax : equivalent function
 |  
 |  mean(...)
 |      a.mean(axis=None, dtype=None, out=None, keepdims=False)
 |      
 |      Returns the average of the array elements along given axis.
 |      
 |      Refer to `numpy.mean` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.mean : equivalent function
 |  
 |  min(...)
 |      a.min(axis=None, out=None, keepdims=False)
 |      
 |      Return the minimum along a given axis.
 |      
 |      Refer to `numpy.amin` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.amin : equivalent function
 |  
 |  newbyteorder(...)
 |      arr.newbyteorder(new_order='S')
 |      
 |      Return the array with the same data viewed with a different byte order.
 |      
 |      Equivalent to::
 |      
 |          arr.view(arr.dtype.newbytorder(new_order))
 |      
 |      Changes are also made in all fields and sub-arrays of the array data
 |      type.
 |      
 |      
 |      
 |      Parameters
 |      ----------
 |      new_order : string, optional
 |          Byte order to force; a value from the byte order specifications
 |          below. `new_order` codes can be any of:
 |      
 |          * 'S' - swap dtype from current to opposite endian
 |          * {'<', 'L'} - little endian
 |          * {'>', 'B'} - big endian
 |          * {'=', 'N'} - native order
 |          * {'|', 'I'} - ignore (no change to byte order)
 |      
 |          The default value ('S') results in swapping the current
 |          byte order. The code does a case-insensitive check on the first
 |          letter of `new_order` for the alternatives above.  For example,
 |          any of 'B' or 'b' or 'biggish' are valid to specify big-endian.
 |      
 |      
 |      Returns
 |      -------
 |      new_arr : array
 |          New array object with the dtype reflecting given change to the
 |          byte order.
 |  
 |  nonzero(...)
 |      a.nonzero()
 |      
 |      Return the indices of the elements that are non-zero.
 |      
 |      Refer to `numpy.nonzero` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.nonzero : equivalent function
 |  
 |  partition(...)
 |      a.partition(kth, axis=-1, kind='introselect', order=None)
 |      
 |      Rearranges the elements in the array in such a way that value of the
 |      element in kth position is in the position it would be in a sorted array.
 |      All elements smaller than the kth element are moved before this element and
 |      all equal or greater are moved behind it. The ordering of the elements in
 |      the two partitions is undefined.
 |      
 |      .. versionadded:: 1.8.0
 |      
 |      Parameters
 |      ----------
 |      kth : int or sequence of ints
 |          Element index to partition by. The kth element value will be in its
 |          final sorted position and all smaller elements will be moved before it
 |          and all equal or greater elements behind it.
 |          The order all elements in the partitions is undefined.
 |          If provided with a sequence of kth it will partition all elements
 |          indexed by kth of them into their sorted position at once.
 |      axis : int, optional
 |          Axis along which to sort. Default is -1, which means sort along the
 |          last axis.
 |      kind : {'introselect'}, optional
 |          Selection algorithm. Default is 'introselect'.
 |      order : str or list of str, optional
 |          When `a` is an array with fields defined, this argument specifies
 |          which fields to compare first, second, etc.  A single field can
 |          be specified as a string, and not all fields need be specified,
 |          but unspecified fields will still be used, in the order in which
 |          they come up in the dtype, to break ties.
 |      
 |      See Also
 |      --------
 |      numpy.partition : Return a parititioned copy of an array.
 |      argpartition : Indirect partition.
 |      sort : Full sort.
 |      
 |      Notes
 |      -----
 |      See ``np.partition`` for notes on the different algorithms.
 |      
 |      Examples
 |      --------
 |      >>> a = np.array([3, 4, 2, 1])
 |      >>> a.partition(3)
 |      >>> a
 |      array([2, 1, 3, 4])
 |      
 |      >>> a.partition((1, 3))
 |      array([1, 2, 3, 4])
 |  
 |  prod(...)
 |      a.prod(axis=None, dtype=None, out=None, keepdims=False)
 |      
 |      Return the product of the array elements over the given axis
 |      
 |      Refer to `numpy.prod` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.prod : equivalent function
 |  
 |  ptp(...)
 |      a.ptp(axis=None, out=None)
 |      
 |      Peak to peak (maximum - minimum) value along a given axis.
 |      
 |      Refer to `numpy.ptp` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.ptp : equivalent function
 |  
 |  put(...)
 |      a.put(indices, values, mode='raise')
 |      
 |      Set ``a.flat[n] = values[n]`` for all `n` in indices.
 |      
 |      Refer to `numpy.put` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.put : equivalent function
 |  
 |  ravel(...)
 |      a.ravel([order])
 |      
 |      Return a flattened array.
 |      
 |      Refer to `numpy.ravel` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.ravel : equivalent function
 |      
 |      ndarray.flat : a flat iterator on the array.
 |  
 |  repeat(...)
 |      a.repeat(repeats, axis=None)
 |      
 |      Repeat elements of an array.
 |      
 |      Refer to `numpy.repeat` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.repeat : equivalent function
 |  
 |  reshape(...)
 |      a.reshape(shape, order='C')
 |      
 |      Returns an array containing the same data with a new shape.
 |      
 |      Refer to `numpy.reshape` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.reshape : equivalent function
 |      
 |      Notes
 |      -----
 |      Unlike the free function `numpy.reshape`, this method on `ndarray` allows
 |      the elements of the shape parameter to be passed in as separate arguments.
 |      For example, ``a.reshape(10, 11)`` is equivalent to
 |      ``a.reshape((10, 11))``.
 |  
 |  resize(...)
 |      a.resize(new_shape, refcheck=True)
 |      
 |      Change shape and size of array in-place.
 |      
 |      Parameters
 |      ----------
 |      new_shape : tuple of ints, or `n` ints
 |          Shape of resized array.
 |      refcheck : bool, optional
 |          If False, reference count will not be checked. Default is True.
 |      
 |      Returns
 |      -------
 |      None
 |      
 |      Raises
 |      ------
 |      ValueError
 |          If `a` does not own its own data or references or views to it exist,
 |          and the data memory must be changed.
 |          PyPy only: will always raise if the data memory must be changed, since
 |          there is no reliable way to determine if references or views to it
 |          exist.
 |      
 |      SystemError
 |          If the `order` keyword argument is specified. This behaviour is a
 |          bug in NumPy.
 |      
 |      See Also
 |      --------
 |      resize : Return a new array with the specified shape.
 |      
 |      Notes
 |      -----
 |      This reallocates space for the data area if necessary.
 |      
 |      Only contiguous arrays (data elements consecutive in memory) can be
 |      resized.
 |      
 |      The purpose of the reference count check is to make sure you
 |      do not use this array as a buffer for another Python object and then
 |      reallocate the memory. However, reference counts can increase in
 |      other ways so if you are sure that you have not shared the memory
 |      for this array with another Python object, then you may safely set
 |      `refcheck` to False.
 |      
 |      Examples
 |      --------
 |      Shrinking an array: array is flattened (in the order that the data are
 |      stored in memory), resized, and reshaped:
 |      
 |      >>> a = np.array([[0, 1], [2, 3]], order='C')
 |      >>> a.resize((2, 1))
 |      >>> a
 |      array([[0],
 |             [1]])
 |      
 |      >>> a = np.array([[0, 1], [2, 3]], order='F')
 |      >>> a.resize((2, 1))
 |      >>> a
 |      array([[0],
 |             [2]])
 |      
 |      Enlarging an array: as above, but missing entries are filled with zeros:
 |      
 |      >>> b = np.array([[0, 1], [2, 3]])
 |      >>> b.resize(2, 3) # new_shape parameter doesn't have to be a tuple
 |      >>> b
 |      array([[0, 1, 2],
 |             [3, 0, 0]])
 |      
 |      Referencing an array prevents resizing...
 |      
 |      >>> c = a
 |      >>> a.resize((1, 1))
 |      Traceback (most recent call last):
 |      ...
 |      ValueError: cannot resize an array that has been referenced ...
 |      
 |      Unless `refcheck` is False:
 |      
 |      >>> a.resize((1, 1), refcheck=False)
 |      >>> a
 |      array([[0]])
 |      >>> c
 |      array([[0]])
 |  
 |  round(...)
 |      a.round(decimals=0, out=None)
 |      
 |      Return `a` with each element rounded to the given number of decimals.
 |      
 |      Refer to `numpy.around` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.around : equivalent function
 |  
 |  searchsorted(...)
 |      a.searchsorted(v, side='left', sorter=None)
 |      
 |      Find indices where elements of v should be inserted in a to maintain order.
 |      
 |      For full documentation, see `numpy.searchsorted`
 |      
 |      See Also
 |      --------
 |      numpy.searchsorted : equivalent function
 |  
 |  setfield(...)
 |      a.setfield(val, dtype, offset=0)
 |      
 |      Put a value into a specified place in a field defined by a data-type.
 |      
 |      Place `val` into `a`'s field defined by `dtype` and beginning `offset`
 |      bytes into the field.
 |      
 |      Parameters
 |      ----------
 |      val : object
 |          Value to be placed in field.
 |      dtype : dtype object
 |          Data-type of the field in which to place `val`.
 |      offset : int, optional
 |          The number of bytes into the field at which to place `val`.
 |      
 |      Returns
 |      -------
 |      None
 |      
 |      See Also
 |      --------
 |      getfield
 |      
 |      Examples
 |      --------
 |      >>> x = np.eye(3)
 |      >>> x.getfield(np.float64)
 |      array([[ 1.,  0.,  0.],
 |             [ 0.,  1.,  0.],
 |             [ 0.,  0.,  1.]])
 |      >>> x.setfield(3, np.int32)
 |      >>> x.getfield(np.int32)
 |      array([[3, 3, 3],
 |             [3, 3, 3],
 |             [3, 3, 3]])
 |      >>> x
 |      array([[  1.00000000e+000,   1.48219694e-323,   1.48219694e-323],
 |             [  1.48219694e-323,   1.00000000e+000,   1.48219694e-323],
 |             [  1.48219694e-323,   1.48219694e-323,   1.00000000e+000]])
 |      >>> x.setfield(np.eye(3), np.int32)
 |      >>> x
 |      array([[ 1.,  0.,  0.],
 |             [ 0.,  1.,  0.],
 |             [ 0.,  0.,  1.]])
 |  
 |  setflags(...)
 |      a.setflags(write=None, align=None, uic=None)
 |      
 |      Set array flags WRITEABLE, ALIGNED, (WRITEBACKIFCOPY and UPDATEIFCOPY),
 |      respectively.
 |      
 |      These Boolean-valued flags affect how numpy interprets the memory
 |      area used by `a` (see Notes below). The ALIGNED flag can only
 |      be set to True if the data is actually aligned according to the type.
 |      The WRITEBACKIFCOPY and (deprecated) UPDATEIFCOPY flags can never be set
 |      to True. The flag WRITEABLE can only be set to True if the array owns its
 |      own memory, or the ultimate owner of the memory exposes a writeable buffer
 |      interface, or is a string. (The exception for string is made so that
 |      unpickling can be done without copying memory.)
 |      
 |      Parameters
 |      ----------
 |      write : bool, optional
 |          Describes whether or not `a` can be written to.
 |      align : bool, optional
 |          Describes whether or not `a` is aligned properly for its type.
 |      uic : bool, optional
 |          Describes whether or not `a` is a copy of another "base" array.
 |      
 |      Notes
 |      -----
 |      Array flags provide information about how the memory area used
 |      for the array is to be interpreted. There are 7 Boolean flags
 |      in use, only four of which can be changed by the user:
 |      WRITEBACKIFCOPY, UPDATEIFCOPY, WRITEABLE, and ALIGNED.
 |      
 |      WRITEABLE (W) the data area can be written to;
 |      
 |      ALIGNED (A) the data and strides are aligned appropriately for the hardware
 |      (as determined by the compiler);
 |      
 |      UPDATEIFCOPY (U) (deprecated), replaced by WRITEBACKIFCOPY;
 |      
 |      WRITEBACKIFCOPY (X) this array is a copy of some other array (referenced
 |      by .base). When the C-API function PyArray_ResolveWritebackIfCopy is
 |      called, the base array will be updated with the contents of this array.
 |      
 |      All flags can be accessed using the single (upper case) letter as well
 |      as the full name.
 |      
 |      Examples
 |      --------
 |      >>> y
 |      array([[3, 1, 7],
 |             [2, 0, 0],
 |             [8, 5, 9]])
 |      >>> y.flags
 |        C_CONTIGUOUS : True
 |        F_CONTIGUOUS : False
 |        OWNDATA : True
 |        WRITEABLE : True
 |        ALIGNED : True
 |        WRITEBACKIFCOPY : False
 |        UPDATEIFCOPY : False
 |      >>> y.setflags(write=0, align=0)
 |      >>> y.flags
 |        C_CONTIGUOUS : True
 |        F_CONTIGUOUS : False
 |        OWNDATA : True
 |        WRITEABLE : False
 |        ALIGNED : False
 |        WRITEBACKIFCOPY : False
 |        UPDATEIFCOPY : False
 |      >>> y.setflags(uic=1)
 |      Traceback (most recent call last):
 |        File "<stdin>", line 1, in <module>
 |      ValueError: cannot set WRITEBACKIFCOPY flag to True
 |  
 |  sort(...)
 |      a.sort(axis=-1, kind='quicksort', order=None)
 |      
 |      Sort an array, in-place.
 |      
 |      Parameters
 |      ----------
 |      axis : int, optional
 |          Axis along which to sort. Default is -1, which means sort along the
 |          last axis.
 |      kind : {'quicksort', 'mergesort', 'heapsort'}, optional
 |          Sorting algorithm. Default is 'quicksort'.
 |      order : str or list of str, optional
 |          When `a` is an array with fields defined, this argument specifies
 |          which fields to compare first, second, etc.  A single field can
 |          be specified as a string, and not all fields need be specified,
 |          but unspecified fields will still be used, in the order in which
 |          they come up in the dtype, to break ties.
 |      
 |      See Also
 |      --------
 |      numpy.sort : Return a sorted copy of an array.
 |      argsort : Indirect sort.
 |      lexsort : Indirect stable sort on multiple keys.
 |      searchsorted : Find elements in sorted array.
 |      partition: Partial sort.
 |      
 |      Notes
 |      -----
 |      See ``sort`` for notes on the different sorting algorithms.
 |      
 |      Examples
 |      --------
 |      >>> a = np.array([[1,4], [3,1]])
 |      >>> a.sort(axis=1)
 |      >>> a
 |      array([[1, 4],
 |             [1, 3]])
 |      >>> a.sort(axis=0)
 |      >>> a
 |      array([[1, 3],
 |             [1, 4]])
 |      
 |      Use the `order` keyword to specify a field to use when sorting a
 |      structured array:
 |      
 |      >>> a = np.array([('a', 2), ('c', 1)], dtype=[('x', 'S1'), ('y', int)])
 |      >>> a.sort(order='y')
 |      >>> a
 |      array([('c', 1), ('a', 2)],
 |            dtype=[('x', '|S1'), ('y', '<i4')])
 |  
 |  squeeze(...)
 |      a.squeeze(axis=None)
 |      
 |      Remove single-dimensional entries from the shape of `a`.
 |      
 |      Refer to `numpy.squeeze` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.squeeze : equivalent function
 |  
 |  std(...)
 |      a.std(axis=None, dtype=None, out=None, ddof=0, keepdims=False)
 |      
 |      Returns the standard deviation of the array elements along given axis.
 |      
 |      Refer to `numpy.std` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.std : equivalent function
 |  
 |  sum(...)
 |      a.sum(axis=None, dtype=None, out=None, keepdims=False)
 |      
 |      Return the sum of the array elements over the given axis.
 |      
 |      Refer to `numpy.sum` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.sum : equivalent function
 |  
 |  swapaxes(...)
 |      a.swapaxes(axis1, axis2)
 |      
 |      Return a view of the array with `axis1` and `axis2` interchanged.
 |      
 |      Refer to `numpy.swapaxes` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.swapaxes : equivalent function
 |  
 |  take(...)
 |      a.take(indices, axis=None, out=None, mode='raise')
 |      
 |      Return an array formed from the elements of `a` at the given indices.
 |      
 |      Refer to `numpy.take` for full documentation.
 |      
 |      See Also
 |      --------
 |      numpy.take : equivalent function
 |  
 |  tobytes(...)
 |      a.tobytes(order='C')
 |      
 |      Construct Python bytes containing the raw data bytes in the array.
 |      
 |      Constructs Python bytes showing a copy of the raw contents of
 |      data memory. The bytes object can be produced in either 'C' or 'Fortran',
 |      or 'Any' order (the default is 'C'-order). 'Any' order means C-order
 |      unless the F_CONTIGUOUS flag in the array is set, in which case it
 |      means 'Fortran' order.
 |      
 |      .. versionadded:: 1.9.0
 |      
 |      Parameters
 |      ----------
 |      order : {'C', 'F', None}, optional
 |          Order of the data for multidimensional arrays:
 |          C, Fortran, or the same as for the original array.
 |      
 |      Returns
 |      -------
 |      s : bytes
 |          Python bytes exhibiting a copy of `a`'s raw data.
 |      
 |      Examples
 |      --------
 |      >>> x = np.array([[0, 1], [2, 3]])
 |      >>> x.tobytes()
 |      b'\x00\x00\x00\x00\x01\x00\x00\x00\x02\x00\x00\x00\x03\x00\x00\x00'
 |      >>> x.tobytes('C') == x.tobytes()
 |      True
 |      >>> x.tobytes('F')
 |      b'\x00\x00\x00\x00\x02\x00\x00\x00\x01\x00\x00\x00\x03\x00\x00\x00'
 |  
 |  tofile(...)
 |      a.tofile(fid, sep="", format="%s")
 |      
 |      Write array to a file as text or binary (default).
 |      
 |      Data is always written in 'C' order, independent of the order of `a`.
 |      The data produced by this method can be recovered using the function
 |      fromfile().
 |      
 |      Parameters
 |      ----------
 |      fid : file or str
 |          An open file object, or a string containing a filename.
 |                   
                            
标签: