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scipy.sparse.

# coo_array

class scipy.sparse.coo_array(arg1, shape=None, dtype=None, copy=False, *, maxprint=None)

  A sparse array in COOrdinate format.

  Also known as the ‘ijv’ or ‘triplet’ format.

  This can be instantiated in several ways:
    coo_array(D)

      where D is an ndarray

    coo_array(S)

      with another sparse array or matrix S (equivalent to S.tocoo())

    coo_array(shape, [dtype])

      to construct an empty sparse array with shape `shape` dtype is optional, defaulting to dtype=’d’.

    coo_array((data, coords), [shape])
      to construct from existing data and index arrays:

        1. data[:] the entries of the sparse array, in any order

        2. coords[i][:] the axis-i coordinates of the data entries

      Where `A[coords] = data`, and coords is a tuple of index arrays. When shape is not specified, it is inferred from the index arrays.

  Attributes:
    data ndarray

      COO format data array of the sparse array

    coords tuple of ndarray

      COO format tuple of index arrays

    has_canonical_format bool

      Whether the matrix has sorted coordinates and no duplicates

    dtype dtype

      Data type of the array

    shape tuple of integers

      Shape of the array

    ndim int

      Number of dimensions of the array

    `format` str

      Format string for matrix.

    `nnz` int

      Number of stored values, including explicit zeros.

    `size` int

      Number of stored values.

    `T` coo_array

      Transpose.

    `mT` coo_array

      Matrix transpose.

  Methods

  `__len__`() |
  `arcsin`() | Element-wise arcsin.
  `arcsinh`() | Element-wise arcsinh.
  `arctan`() | Element-wise arctan.
  `arctanh`() | Element-wise arctanh.
  `argmax`([axis, out, explicit]) | Return indices of maximum elements along an axis.
  `argmin`([axis, out, explicit]) | Return indices of minimum elements along an axis.
  `asformat`(format[, copy]) | Return this array/matrix in the passed format.
  `astype`(dtype[, casting, copy]) | Cast the array/matrix elements to a specified type.
  `ceil`() | Element-wise ceil.
  `conj`([copy]) | Element-wise complex conjugation.
  `conjugate`([copy]) | Element-wise complex conjugation.
  `copy`() | Returns a copy of this array/matrix.
  `count_nonzero`([axis]) | Number of non-zero entries.
  `deg2rad`() | Element-wise deg2rad.
  `diagonal`([k]) | Returns the kth diagonal of the array/matrix.
  `dot`(other) | Return the dot product of two arrays.
  `eliminate_zeros`() | Remove zero entries from the array/matrix.
  `expm1`() | Element-wise expm1.
  `floor`() | Element-wise floor.
  `log1p`() | Element-wise log1p.
  `max`([axis, out, explicit]) | Return the maximum of the array/matrix or maximum along an axis.
  `maximum`(other) | Element-wise maximum between this and another array/matrix.
  `mean`([axis, dtype, out]) | Compute the arithmetic mean along the specified axis.
  `min`([axis, out, explicit]) | Return the minimum of the array/matrix or maximum along an axis.
  `minimum`(other) | Element-wise minimum between this and another array/matrix.
  `multiply`(other) | Element-wise multiplication by another array/matrix.
  `nanmax`([axis, out, explicit]) | Return the maximum, ignoring any Nans, along an axis.
  `nanmin`([axis, out, explicit]) | Return the minimum, ignoring any Nans, along an axis.
  `nonzero`() | Nonzero indices of the array/matrix.
  `power`(n[, dtype]) | This function performs element-wise power.
  `rad2deg`() | Element-wise rad2deg.
  `reshape`(self, shape[, order, copy]) | Gives a new shape to a sparse array/matrix without changing its data.
  `resize`(*shape) | Resize the array/matrix in-place to dimensions given by `shape`.
  `rint`() | Element-wise rint.
  `setdiag`(values[, k]) | Set diagonal or off-diagonal elements of the array/matrix.
  `sign`() | Element-wise sign.
  `sin`() | Element-wise sin.
  `sinh`() | Element-wise sinh.
  `sqrt`() | Element-wise sqrt.
  `sum`([axis, dtype, out]) | Sum the array/matrix elements over a given axis.
  `sum_duplicates`() | Eliminate duplicate entries by adding them together.
  `tan`() | Element-wise tan.
  `tanh`() | Element-wise tanh.
  `tensordot`(other[, axes]) | Return the tensordot product with another array along the given axes.
  `toarray`([order, out]) | Return a dense ndarray representation of this sparse array/matrix.
  `tobsr`([blocksize, copy]) | Convert this array/matrix to Block Sparse Row format.
  `tocoo`([copy]) | Convert this array/matrix to COOrdinate format.
  `tocsc`([copy]) | Convert this array/matrix to Compressed Sparse Column format.
  `tocsr`([copy]) | Convert this array/matrix to Compressed Sparse Row format.
  `todense`([order, out]) | Return a dense representation of this sparse array.
  `todia`([copy]) | Convert this array/matrix to sparse DIAgonal format.
  `todok`([copy]) | Convert this array/matrix to Dictionary Of Keys format.
  `tolil`([copy]) | Convert this array/matrix to List of Lists format.
  `trace`([offset]) | Returns the sum along diagonals of the sparse array/matrix.
  `transpose`([axes, copy]) | Reverses the dimensions of the sparse array/matrix.
  `trunc`() | Element-wise trunc.

  __add__ |
  __getitem__ |
  __matmul__ |
  __mul__ |
  __pow__ |
  __rmatmul__ |
  __rmul__ |
  __truediv__ |

  Notes

  Sparse arrays can be used in arithmetic operations: they support addition, subtraction, multiplication, division, and matrix power.

  Advantages of the COO format

    - facilitates fast conversion among sparse formats

    - permits duplicate entries (see example)

    - very fast conversion to and from CSR/CSC formats

  Disadvantages of the COO format
    - does not directly support:

        - arithmetic operations

        - slicing

  Intended Usage

    - COO is a fast format for constructing sparse arrays

    - Once a COO array has been constructed, convert to CSR or CSC format for fast arithmetic and matrix vector operations

    - By default when converting to CSR or CSC format, duplicate (i,j) entries will be summed together. This facilitates efficient construction of finite element matrices and the like. (see example)

  Canonical format

    - Entries and coordinates sorted by row, then column.

    - There are no duplicate entries (i.e. duplicate (i,j) locations)

    - Data arrays MAY have explicit zeros.

  Examples

      >>> # Constructing an empty sparse array
      >>> import numpy as np
      >>> from scipy.sparse import coo_array
      >>> coo_array((3, 4), dtype=np.int8).toarray()
      array([[0, 0, 0, 0],
             [0, 0, 0, 0],
             [0, 0, 0, 0]], dtype=int8)

      >>> # Constructing a sparse array using ijv format
      >>> row  = np.array([0, 3, 1, 0])
      >>> col  = np.array([0, 3, 1, 2])
      >>> data = np.array([4, 5, 7, 9])
      >>> coo_array((data, (row, col)), shape=(4, 4)).toarray()
      array([[4, 0, 9, 0],
             [0, 7, 0, 0],
             [0, 0, 0, 0],
             [0, 0, 0, 5]])

      >>> # Constructing a sparse array with duplicate coordinates
      >>> row  = np.array([0, 0, 1, 3, 1, 0, 0])
      >>> col  = np.array([0, 2, 1, 3, 1, 0, 0])
      >>> data = np.array([1, 1, 1, 1, 1, 1, 1])
      >>> coo = coo_array((data, (row, col)), shape=(4, 4))
      >>> # Duplicate coordinates are maintained until implicitly or explicitly summed
      >>> np.max(coo.data)
      1
      >>> coo.toarray()
      array([[3, 0, 1, 0],
             [0, 2, 0, 0],
             [0, 0, 0, 0],
             [0, 0, 0, 1]])