parameters: (a, axis=None, dtype=None, out=None, keepdims=np._NoValue, initial=np._NoValue)
return_statement: return _wrapreduction(a, np.multiply, 'prod', axis, dtype, out, keepdims=keepdims,
                            initial=initial)
docstring: Return the product of array elements over a given axis.
  
      Parameters
      ----------
      a : array_like
          Input data.
      axis : None or int or tuple of ints, optional
          Axis or axes along which a product is performed.  The default,
          axis=None, will calculate the product of all the elements in the
          input array. If axis is negative it counts from the last to the
          first axis.
  
          .. versionadded:: 1.7.0
  
          If axis is a tuple of ints, a product is performed on all of the
          axes specified in the tuple instead of a single axis or all the
          axes as before.
      dtype : dtype, optional
          The type of the returned array, as well as of the accumulator in
          which the elements are multiplied.  The dtype of `a` is used by
          default unless `a` has an integer dtype of less precision than the
          default platform integer.  In that case, if `a` is signed then the
          platform integer is used while if `a` is unsigned then an unsigned
          integer of the same precision as the platform integer is used.
      out : ndarray, optional
          Alternative output array in which to place the result. It must have
          the same shape as the expected output, but the type of the output
          values will be cast if necessary.
      keepdims : bool, optional
          If this is set to True, the axes which are reduced are left in the
          result as dimensions with size one. With this option, the result
          will broadcast correctly against the input array.
  
          If the default value is passed, then `keepdims` will not be
          passed through to the `prod` method of sub-classes of
          `ndarray`, however any non-default value will be.  If the
          sub-class' method does not implement `keepdims` any
          exceptions will be raised.
      initial : scalar, optional
          The starting value for this product. See `~numpy.ufunc.reduce` for details.
  
          .. versionadded:: 1.15.0
  
      Returns
      -------
      product_along_axis : ndarray, see `dtype` parameter above.
          An array shaped as `a` but with the specified axis removed.
          Returns a reference to `out` if specified.
  
      See Also
      --------
      ndarray.prod : equivalent method
      numpy.doc.ufuncs : Section "Output arguments"
  
      Notes
      -----
      Arithmetic is modular when using integer types, and no error is
      raised on overflow.  That means that, on a 32-bit platform:
  
      >>> x = np.array([536870910, 536870910, 536870910, 536870910])
      >>> np.prod(x)  # random
      16
  
      The product of an empty array is the neutral element 1:
  
      >>> np.prod([])
      1.0
  
      Examples
      --------
      By default, calculate the product of all elements:
  
      >>> np.prod([1.,2.])
      2.0
  
      Even when the input array is two-dimensional:
  
      >>> np.prod([[1.,2.],[3.,4.]])
      24.0
  
      But we can also specify the axis over which to multiply:
  
      >>> np.prod([[1.,2.],[3.,4.]], axis=1)
      array([  2.,  12.])
  
      If the type of `x` is unsigned, then the output type is
      the unsigned platform integer:
  
      >>> x = np.array([1, 2, 3], dtype=np.uint8)
      >>> np.prod(x).dtype == np.uint
      True
  
      If `x` is of a signed integer type, then the output type
      is the default platform integer:
  
      >>> x = np.array([1, 2, 3], dtype=np.int8)
      >>> np.prod(x).dtype == int
      True
  
      You can also start the product with a value other than one:
  
      >>> np.prod([1, 2], initial=5)
      10
docstring_summary: Return the product of array elements over a given axis.
docstring_tokens: Return the product of array elements over a given axis .
function: def prod(a, axis=None, dtype=None, out=None, keepdims=np._NoValue, initial=np._NoValue):
      """
      Return the product of array elements over a given axis.
  
      Parameters
      ----------
      a : array_like
          Input data.
      axis : None or int or tuple of ints, optional
          Axis or axes along which a product is performed.  The default,
          axis=None, will calculate the product of all the elements in the
          input array. If axis is negative it counts from the last to the
          first axis.
  
          .. versionadded:: 1.7.0
  
          If axis is a tuple of ints, a product is performed on all of the
          axes specified in the tuple instead of a single axis or all the
          axes as before.
      dtype : dtype, optional
          The type of the returned array, as well as of the accumulator in
          which the elements are multiplied.  The dtype of `a` is used by
          default unless `a` has an integer dtype of less precision than the
          default platform integer.  In that case, if `a` is signed then the
          platform integer is used while if `a` is unsigned then an unsigned
          integer of the same precision as the platform integer is used.
      out : ndarray, optional
          Alternative output array in which to place the result. It must have
          the same shape as the expected output, but the type of the output
          values will be cast if necessary.
      keepdims : bool, optional
          If this is set to True, the axes which are reduced are left in the
          result as dimensions with size one. With this option, the result
          will broadcast correctly against the input array.
  
          If the default value is passed, then `keepdims` will not be
          passed through to the `prod` method of sub-classes of
          `ndarray`, however any non-default value will be.  If the
          sub-class' method does not implement `keepdims` any
          exceptions will be raised.
      initial : scalar, optional
          The starting value for this product. See `~numpy.ufunc.reduce` for details.
  
          .. versionadded:: 1.15.0
  
      Returns
      -------
      product_along_axis : ndarray, see `dtype` parameter above.
          An array shaped as `a` but with the specified axis removed.
          Returns a reference to `out` if specified.
  
      See Also
      --------
      ndarray.prod : equivalent method
      numpy.doc.ufuncs : Section "Output arguments"
  
      Notes
      -----
      Arithmetic is modular when using integer types, and no error is
      raised on overflow.  That means that, on a 32-bit platform:
  
      >>> x = np.array([536870910, 536870910, 536870910, 536870910])
      >>> np.prod(x)  # random
      16
  
      The product of an empty array is the neutral element 1:
  
      >>> np.prod([])
      1.0
  
      Examples
      --------
      By default, calculate the product of all elements:
  
      >>> np.prod([1.,2.])
      2.0
  
      Even when the input array is two-dimensional:
  
      >>> np.prod([[1.,2.],[3.,4.]])
      24.0
  
      But we can also specify the axis over which to multiply:
  
      >>> np.prod([[1.,2.],[3.,4.]], axis=1)
      array([  2.,  12.])
  
      If the type of `x` is unsigned, then the output type is
      the unsigned platform integer:
  
      >>> x = np.array([1, 2, 3], dtype=np.uint8)
      >>> np.prod(x).dtype == np.uint
      True
  
      If `x` is of a signed integer type, then the output type
      is the default platform integer:
  
      >>> x = np.array([1, 2, 3], dtype=np.int8)
      >>> np.prod(x).dtype == int
      True
  
      You can also start the product with a value other than one:
  
      >>> np.prod([1, 2], initial=5)
      10
      """
      return _wrapreduction(a, np.multiply, 'prod', axis, dtype, out, keepdims=keepdims,
                            initial=initial)
function_tokens: def prod ( a , axis = None , dtype = None , out = None , keepdims = np . _NoValue , initial = np . _NoValue ) : return _wrapreduction ( a , np . multiply , 'prod' , axis , dtype , out , keepdims = keepdims , initial = initial )