import numpy import cupy from cupy import _core def place(arr, mask, vals): """Change elements of an array based on conditional and input values. This function uses the first N elements of `vals`, where N is the number of true values in `mask`. Args: arr (cupy.ndarray): Array to put data into. mask (array-like): Boolean mask array. Must have the same size as `a`. vals (array-like): Values to put into `a`. Only the first N elements are used, where N is the number of True values in `mask`. If `vals` is smaller than N, it will be repeated, and if elements of `a` are to be masked, this sequence must be non-empty. Examples -------- >>> arr = np.arange(6).reshape(2, 3) >>> np.place(arr, arr>2, [44, 55]) >>> arr array([[ 0, 1, 2], [44, 55, 44]]) .. warning:: This function may synchronize the device. .. seealso:: :func:`numpy.place` """ # TODO(niboshi): Avoid nonzero which may synchronize the device. mask = cupy.asarray(mask) if arr.size != mask.size: raise ValueError('Mask and data must be the same size.') vals = cupy.asarray(vals) mask_indices = mask.ravel().nonzero()[0] # may synchronize if mask_indices.size == 0: return if vals.size == 0: raise ValueError('Cannot insert from an empty array.') arr.put(mask_indices, vals, mode='wrap') def put(a, ind, v, mode='wrap'): """Replaces specified elements of an array with given values. Args: a (cupy.ndarray): Target array. ind (array-like): Target indices, interpreted as integers. v (array-like): Values to place in `a` at target indices. If `v` is shorter than `ind` it will be repeated as necessary. mode (str): How out-of-bounds indices will behave. Its value must be either `'raise'`, `'wrap'` or `'clip'`. Otherwise, :class:`TypeError` is raised. .. note:: Default `mode` is set to `'wrap'` to avoid unintended performance drop. If you need NumPy's behavior, please pass `mode='raise'` manually. .. seealso:: :func:`numpy.put` """ a.put(ind, v, mode=mode) _putmask_kernel = _core.ElementwiseKernel( 'Q mask, raw S values, uint64 len_vals', 'T out', ''' if (mask) out = (T) values[i % len_vals]; ''', 'cupy_putmask_kernel' ) def putmask(a, mask, values): """ Changes elements of an array inplace, based on a conditional mask and input values. Sets ``a.flat[n] = values[n]`` for each n where ``mask.flat[n]==True``. If `values` is not the same size as `a` and `mask` then it will repeat. Args: a (cupy.ndarray): Target array. mask (cupy.ndarray): Boolean mask array. It has to be the same shape as `a`. values (cupy.ndarray or scalar): Values to put into `a` where `mask` is True. If `values` is smaller than `a`, then it will be repeated. Examples -------- >>> x = cupy.arange(6).reshape(2, 3) >>> cupy.putmask(x, x>2, x**2) >>> x array([[ 0, 1, 2], [ 9, 16, 25]]) If `values` is smaller than `a` it is repeated: >>> x = cupy.arange(6) >>> cupy.putmask(x, x>2, cupy.array([-33, -44])) >>> x array([ 0, 1, 2, -44, -33, -44]) .. seealso:: :func:`numpy.putmask` """ if not isinstance(a, cupy.ndarray): raise TypeError('`a` should be of type cupy.ndarray') if not isinstance(mask, cupy.ndarray): raise TypeError('`mask` should be of type cupy.ndarray') if not (cupy.isscalar(values) or isinstance(values, cupy.ndarray)): raise TypeError('`values` should be of type cupy.ndarray') if not a.shape == mask.shape: raise ValueError('mask and data must be the same size') mask = mask.astype(numpy.bool_) if cupy.isscalar(values): a[mask] = values elif not numpy.can_cast(values.dtype, a.dtype): raise TypeError('Cannot cast array data from' ' {} to {} according to the rule \'safe\'' .format(values.dtype, a.dtype)) elif a.shape == values.shape: a[mask] = values[mask] else: values = values.ravel() _putmask_kernel(mask, values, len(values), a) def fill_diagonal(a, val, wrap=False): """Fills the main diagonal of the given array of any dimensionality. For an array `a` with ``a.ndim > 2``, the diagonal is the list of locations with indices ``a[i, i, ..., i]`` all identical. This function modifies the input array in-place, it does not return a value. Args: a (cupy.ndarray): The array, at least 2-D. val (scalar): The value to be written on the diagonal. Its type must be compatible with that of the array a. wrap (bool): If specified, the diagonal is "wrapped" after N columns. This affects only tall matrices. Examples -------- >>> a = cupy.zeros((3, 3), int) >>> cupy.fill_diagonal(a, 5) >>> a array([[5, 0, 0], [0, 5, 0], [0, 0, 5]]) .. seealso:: :func:`numpy.fill_diagonal` """ # The following are imported from the original numpy if a.ndim < 2: raise ValueError('array must be at least 2-d') end = None if a.ndim == 2: step = a.shape[1] + 1 if not wrap: end = a.shape[1] * a.shape[1] else: if not numpy.all(numpy.diff(a.shape) == 0): raise ValueError('All dimensions of input must be of equal length') step = 1 + numpy.cumprod(a.shape[:-1]).sum() a.flat[:end:step] = val def diag_indices(n, ndim=2): """Return the indices to access the main diagonal of an array. Returns a tuple of indices that can be used to access the main diagonal of an array with ``ndim >= 2`` dimensions and shape (n, n, ..., n). Args: n (int): The size, along each dimension of the arrays for which the indices are to be returned. ndim (int): The number of dimensions. default `2`. Examples -------- Create a set of indices to access the diagonal of a (4, 4) array: >>> di = cupy.diag_indices(4) >>> di (array([0, 1, 2, 3]), array([0, 1, 2, 3])) >>> a = cupy.arange(16).reshape(4, 4) >>> a array([[ 0, 1, 2, 3], [ 4, 5, 6, 7], [ 8, 9, 10, 11], [12, 13, 14, 15]]) >>> a[di] = 100 >>> a array([[100, 1, 2, 3], [ 4, 100, 6, 7], [ 8, 9, 100, 11], [ 12, 13, 14, 100]]) Create indices to manipulate a 3-D array: >>> d3 = cupy.diag_indices(2, 3) >>> d3 (array([0, 1]), array([0, 1]), array([0, 1])) And use it to set the diagonal of an array of zeros to 1: >>> a = cupy.zeros((2, 2, 2), dtype=int) >>> a[d3] = 1 >>> a array([[[1, 0], [0, 0]], [[0, 0], [0, 1]]]) .. seealso:: :func:`numpy.diag_indices` """ idx = cupy.arange(n) return (idx,) * ndim def diag_indices_from(arr): """ Return the indices to access the main diagonal of an n-dimensional array. See `diag_indices` for full details. Args: arr (cupy.ndarray): At least 2-D. .. seealso:: :func:`numpy.diag_indices_from` """ if not isinstance(arr, cupy.ndarray): raise TypeError("Argument must be cupy.ndarray") if not arr.ndim >= 2: raise ValueError("input array must be at least 2-d") # For more than d=2, the strided formula is only valid for arrays with # all dimensions equal, so we check first. if not cupy.all(cupy.diff(arr.shape) == 0): raise ValueError("All dimensions of input must be of equal length") return diag_indices(arr.shape[0], arr.ndim)