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小白眼中的AI之~Numpy基礎

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 
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=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
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| | __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
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| | __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. | sep : str | Separator between array items for text output. | If "" (empty), a binary file is written, equivalent to | ``file.write(a.tobytes())``. | format : str | Format string for text file output. | Each entry in the array is formatted to text by first converting | it to the closest Python type, and then using "format" % item. | | Notes | ----- | This is a convenience function for quick storage of array data. | Information on endianness and precision is lost, so this method is not a | good choice for files intended to archive data or transport data between | machines with different endianness. Some of these problems can be overcome | by outputting the data as text files, at the expense of speed and file | size. | | tolist(...) | a.tolist() | | Return the array as a (possibly nested) list. | | Return a copy of the array data as a (nested) Python list. | Data items are converted to the nearest compatible Python type. | | Parameters | ---------- | none | | Returns | ------- | y : list | The possibly nested list of array elements. | | Notes | ----- | The array may be recreated, ``a = np.array(a.tolist())``. | | Examples | -------- | >>> a = np.array([1, 2]) | >>> a.tolist() | [1, 2] | >>> a = np.array([[1, 2], [3, 4]]) | >>> list(a) | [array([1, 2]), array([3, 4])] | >>> a.tolist() | [[1, 2], [3, 4]] | | tostring(...) | a.tostring(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. | | This function is a compatibility alias for tobytes. Despite its name it returns bytes not strings. | | 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' | | trace(...) | a.trace(offset=0, axis1=0, axis2=1, dtype=None, out=None) | | Return the sum along diagonals of the array. | | Refer to `numpy.trace` for full documentation. | | See Also | -------- | numpy.trace : equivalent function | | transpose(...) | a.transpose(*axes) | | Returns a view of the array with axes transposed. | | For a 1-D array, this has no effect. (To change between column and | row vectors, first cast the 1-D array into a matrix object.) | For a 2-D array, this is the usual matrix transpose. | For an n-D array, if axes are given, their order indicates how the | axes are permuted (see Examples). If axes are not provided and | ``a.shape = (i[0], i[1], ... i[n-2], i[n-1])``, then | ``a.transpose().shape = (i[n-1], i[n-2], ... i[1], i[0])``. | | Parameters | ---------- | axes : None, tuple of ints, or `n` ints | | * None or no argument: reverses the order of the axes. | | * tuple of ints: `i` in the `j`-th place in the tuple means `a`'s | `i`-th axis becomes `a.transpose()`'s `j`-th axis. | | * `n` ints: same as an n-tuple of the same ints (this form is | intended simply as a "convenience" alternative to the tuple form) | | Returns | ------- | out : ndarray | View of `a`, with axes suitably permuted. | | See Also | -------- | ndarray.T : Array property returning the array transposed. | | Examples | -------- | >>> a = np.array([[1, 2], [3, 4]]) | >>> a | array([[1, 2], | [3, 4]]) | >>> a.transpose() | array([[1, 3], | [2, 4]]) | >>> a.transpose((1, 0)) | array([[1, 3], | [2, 4]]) | >>> a.transpose(1, 0) | array([[1, 3], | [2, 4]]) | | var(...) | a.var(axis=None, dtype=None, out=None, ddof=0, keepdims=False) | | Returns the variance of the array elements, along given axis. | | Refer to `numpy.var` for full documentation. | | See Also | -------- | numpy.var : equivalent function | | view(...) | a.view(dtype=None, type=None) | | New view of array with the same data. | | Parameters | ---------- | dtype : data-type or ndarray sub-class, optional | Data-type descriptor of the returned view, e.g., float32 or int16. The | default, None, results in the view having the same data-type as `a`. | This argument can also be specified as an ndarray sub-class, which | then specifies the type of the returned object (this is equivalent to | setting the ``type`` parameter). | type : Python type, optional | Type of the returned view, e.g., ndarray or matrix. Again, the | default None results in type preservation. | | Notes | ----- | ``a.view()`` is used two different ways: | | ``a.view(some_dtype)`` or ``a.view(dtype=some_dtype)`` constructs a view | of the array's memory with a different data-type. This can cause a | reinterpretation of the bytes of memory. | | ``a.view(ndarray_subclass)`` or ``a.view(type=ndarray_subclass)`` just | returns an instance of `ndarray_subclass` that looks at the same array | (same shape, dtype, etc.) This does not cause a reinterpretation of the | memory. | | For ``a.view(some_dtype)``, if ``some_dtype`` has a different number of | bytes per entry than the previous dtype (for example, converting a | regular array to a structured array), then the behavior of the view | cannot be predicted just from the superficial appearance of ``a`` (shown | by ``print(a)``). It also depends on exactly how ``a`` is stored in | memory. Therefore if ``a`` is C-ordered versus fortran-ordered, versus | defined as a slice or transpose, etc., the view may give different | results. | | | Examples | -------- | >>> x = np.array([(1, 2)], dtype=[('a', np.int8), ('b', np.int8)]) | | Viewing array data using a different type and dtype: | | >>> y = x.view(dtype=np.int16, type=np.matrix) | >>> y | matrix([[513]], dtype=int16) | >>> print(type(y)) | <class 'numpy.matrixlib.defmatrix.matrix'> | | Creating a view on a structured array so it can be used in calculations | | >>> x = np.array([(1, 2),(3,4)], dtype=[('a', np.int8), ('b', np.int8)]) | >>> xv = x.view(dtype=np.int8).reshape(-1,2) | >>> xv | array([[1, 2], | [3, 4]], dtype=int8) | >>> xv.mean(0) | array([ 2., 3.]) | | Making changes to the view changes the underlying array | | >>> xv[0,1] = 20 | >>> print(x) | [(1, 20) (3, 4)] | | Using a view to convert an array to a recarray: | | >>> z = x.view(np.recarray) | >>> z.a | array([1], dtype=int8) | | Views share data: | | >>> x[0] = (9, 10) | >>> z[0] | (9, 10) | | Views that change the dtype size (bytes per entry) should normally be | avoided on arrays defined by slices, transposes, fortran-ordering, etc.: | | >>> x = np.array([[1,2,3],[4,5,6]], dtype=np.int16) | >>> y = x[:, 0:2] | >>> y | array([[1, 2], | [4, 5]], dtype=int16) | >>> y.view(dtype=[('width', np.int16), ('length', np.int16)]) | Traceback (most recent call last): | File "<stdin>", line 1, in <module> | ValueError: new type not compatible with array. | >>> z = y.copy() | >>> z.view(dtype=[('width', np.int16), ('length', np.int16)]) | array([[(1, 2)], | [(4, 5)]], dtype=[('width', '<i2'), ('length', '<i2')]) | | ---------------------------------------------------------------------- | Data descriptors defined here: | | T | Same as self.transpose(), except that self is returned if | self.ndim < 2. | | Examples | -------- | >>> x = np.array([[1.,2.],[3.,4.]]) | >>> x | array([[ 1., 2.], | [ 3., 4.]]) | >>> x.T | array([[ 1., 3.], | [ 2., 4.]]) | >>> x = np.array([1.,2.,3.,4.]) | >>> x | array([ 1., 2., 3., 4.]) | >>> x.T | array([ 1., 2., 3., 4.]) | | __array_finalize__ | None. | | __array_interface__ | Array protocol: Python side. | | __array_priority__ | Array priority. | | __array_struct__ | Array protocol: C-struct side. | | base | Base object if memory is from some other object. | | Examples | -------- | The base of an array that owns its memory is None: | | >>> x = np.array([1,2,3,4]) | >>> x.base is None | True | | Slicing creates a view, whose memory is shared with x: | | >>> y = x[2:] | >>> y.base is x | True | | ctypes | An object to simplify the interaction of the array with the ctypes | module. | | This attribute creates an object that makes it easier to use arrays | when calling shared libraries with the ctypes module. The returned | object has, among others, data, shape, and strides attributes (see | Notes below) which themselves return ctypes objects that can be used | as arguments to a shared library. | | Parameters | ---------- | None | | Returns | ------- | c : Python object | Possessing attributes data, shape, strides, etc. | | See Also | -------- | numpy.ctypeslib | | Notes | ----- | Below are the public attributes of this object which were documented | in "Guide to NumPy" (we have omitted undocumented public attributes, | as well as documented private attributes): | | * data: A pointer to the memory area of the array as a Python integer. | This memory area may contain data that is not aligned, or not in correct | byte-order. The memory area may not even be writeable. The array | flags and data-type of this array should be respected when passing this | attribute to arbitrary C-code to avoid trouble that can include Python | crashing. User Beware! The value of this attribute is exactly the same | as self._array_interface_['data'][0]. | | * shape (c_intp*self.ndim): A ctypes array of length self.ndim where | the basetype is the C-integer corresponding to dtype('p') on this | platform. This base-type could be c_int, c_long, or c_longlong | depending on the platform. The c_intp type is defined accordingly in | numpy.ctypeslib. The ctypes array contains the shape of the underlying | array. | | * strides (c_intp*self.ndim): A ctypes array of length self.ndim where | the basetype is the same as for the shape attribute. This ctypes array | contains the strides information from the underlying array. This strides | information is important for showing how many bytes must be jumped to | get to the next element in the array. | | * data_as(obj): Return the data pointer cast to a particular c-types object. | For example, calling self._as_parameter_ is equivalent to | self.data_as(ctypes.c_void_p). Perhaps you want to use the data as a | pointer to a ctypes array of floating-point data: | self.data_as(ctypes.POINTER(ctypes.c_double)). | | * shape_as(obj): Return the shape tuple as an array of some other c-types | type. For example: self.shape_as(ctypes.c_short). | | * strides_as(obj): Return the strides tuple as an array of some other | c-types type. For example: self.strides_as(ctypes.c_longlong). | | Be careful using the ctypes attribute - especially on temporary | arrays or arrays constructed on the fly. For example, calling | ``(a+b).ctypes.data_as(ctypes.c_void_p)`` returns a pointer to memory | that is invalid because the array created as (a+b) is deallocated | before the next Python statement. You can avoid this problem using | either ``c=a+b`` or ``ct=(a+b).ctypes``. In the latter case, ct will | hold a reference to the array until ct is deleted or re-assigned. | | If the ctypes module is not available, then the ctypes attribute | of array objects still returns something useful, but ctypes objects | are not returned and errors may be raised instead. In particular, | the object will still have the as parameter attribute which will | return an integer equal to the data attribute. | | Examples | -------- | >>> import ctypes | >>> x | array([[0, 1], | [2, 3]]) | >>> x.ctypes.data | 30439712 | >>> x.ctypes.data_as(ctypes.POINTER(ctypes.c_long)) | <ctypes.LP_c_long object at 0x01F01300> | >>> x.ctypes.data_as(ctypes.POINTER(ctypes.c_long)).contents | c_long(0) | >>> x.ctypes.data_as(ctypes.POINTER(ctypes.c_longlong)).contents | c_longlong(4294967296L) | >>> x.ctypes.shape | <numpy.core._internal.c_long_Array_2 object at 0x01FFD580> | >>> x.ctypes.shape_as(ctypes.c_long) | <numpy.core._internal.c_long_Array_2 object at 0x01FCE620> | >>> x.ctypes.strides | <numpy.core._internal.c_long_Array_2 object at 0x01FCE620> | >>> x.ctypes.strides_as(ctypes.c_longlong) | <numpy.core._internal.c_longlong_Array_2 object at 0x01F01300> | | data | Python buffer object pointing to the start of the array's data. | | dtype | Data-type of the array's elements. | | Parameters | ---------- | None | | Returns | ------- | d : numpy dtype object | | See Also | -------- | numpy.dtype | | Examples | -------- | >>> x | array([[0, 1], | [2, 3]]) | >>> x.dtype | dtype('int32') | >>> type(x.dtype) | <type '