# tensorflow::ops::MatrixSetDiagV2 `#include ` Returns a batched matrix tensor with new batched diagonal values. ## Summary Given `input` and `diagonal`, this operation returns a tensor with the same shape and values as `input`, except for the specified diagonals of the innermost matrices. These will be overwritten by the values in `diagonal`. `input` has `r+1` dimensions `[I, J, ..., L, M, N]`. When `k` is scalar or `k[0] == k[1]`, `diagonal` has `r` dimensions `[I, J, ..., L, max_diag_len]`. Otherwise, it has `r+1` dimensions `[I, J, ..., L, num_diags, max_diag_len]`. `num_diags` is the number of diagonals, `num_diags = k[1] - k[0] + 1`. `max_diag_len` is the longest diagonal in the range `[k[0], k[1]]`, `max_diag_len = min(M + min(k[1], 0), N + min(-k[0], 0))` The output is a tensor of rank `k+1` with dimensions `[I, J, ..., L, M, N]`. If `k` is scalar or `k[0] == k[1]`: ``` output[i, j, ..., l, m, n] = diagonal[i, j, ..., l, n-max(k[1], 0)] ; if n - m == k[1] output[i, j, ..., l, m, n] ; otherwise ```
Otherwise,
``` output[i, j, ..., l, m, n] = diagonal[i, j, ..., l, k[1]-d, n-max(d, 0)] ; if d_lower <= d <= d_upper input[i, j, ..., l, m, n] ; otherwise ``` where `d = n - m`
For example: ``` # The main diagonal. input = np.array([[[7, 7, 7, 7], # Input shape: (2, 3, 4) [7, 7, 7, 7], [7, 7, 7, 7]], [[7, 7, 7, 7], [7, 7, 7, 7], [7, 7, 7, 7]]]) diagonal = np.array([[1, 2, 3], # Diagonal shape: (2, 3) [4, 5, 6]]) tf.matrix_diag(diagonal) ==> [[[1, 7, 7, 7], # Output shape: (2, 3, 4) [7, 2, 7, 7], [7, 7, 3, 7]], [[4, 7, 7, 7], [7, 5, 7, 7], [7, 7, 6, 7]]] ```
``` # A superdiagonal (per batch). tf.matrix_diag(diagonal, k = 1) ==> [[[7, 1, 7, 7], # Output shape: (2, 3, 4) [7, 7, 2, 7], [7, 7, 7, 3]], [[7, 4, 7, 7], [7, 7, 5, 7], [7, 7, 7, 6]]] ```
``` # A band of diagonals. diagonals = np.array([[[1, 2, 3], # Diagonal shape: (2, 2, 3) [4, 5, 0]], [[6, 1, 2], [3, 4, 0]]]) tf.matrix_diag(diagonals, k = (-1, 0)) ==> [[[1, 7, 7, 7], # Output shape: (2, 3, 4) [4, 2, 7, 7], [0, 5, 3, 7]], [[6, 7, 7, 7], [3, 1, 7, 7], [7, 4, 2, 7]]] ```
```` Arguments: - scope: A https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/scope#classtensorflow_1_1_scope object - input: Rank `r+1`, where `r >= 1`. - diagonal: Rank `r` when `k` is an integer or `k[0] == k[1]`. Otherwise, it has rank `r+1`. `k >= 1`. - k: Diagonal offset(s). Positive value means superdiagonal, 0 refers to the main diagonal, and negative value means subdiagonals. `k` can be a single integer (for a single diagonal) or a pair of integers specifying the low and high ends of a matrix band. `k[0]` must not be larger than `k[1]`. Returns: - `https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/output#classtensorflow_1_1_output`: Rank `r+1`, with `output.shape = input.shape`. ### Constructors and Destructors `https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/ops/matrix-set-diag-v2#classtensorflow_1_1ops_1_1_matrix_set_diag_v2_1a438f858712bda6df180ee19d8f278bf4(const ::https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/scope#classtensorflow_1_1_scope & scope, ::https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/input#classtensorflow_1_1_input input, ::https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/input#classtensorflow_1_1_input diagonal, ::https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/input#classtensorflow_1_1_input k)` ### Public attributes `https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/ops/matrix-set-diag-v2#classtensorflow_1_1ops_1_1_matrix_set_diag_v2_1a433c91a80772823c3acd4729a873900f` `https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/operation#classtensorflow_1_1_operation` `https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/ops/matrix-set-diag-v2#classtensorflow_1_1ops_1_1_matrix_set_diag_v2_1a390fc69019f7170f80f7c4c3acb12cee` `::https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/output#classtensorflow_1_1_output` ### Public functions `https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/ops/matrix-set-diag-v2#classtensorflow_1_1ops_1_1_matrix_set_diag_v2_1ab0f95dc9ddcb2221701f55c8caddcdb1() const ` `::tensorflow::Node *` `https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/ops/matrix-set-diag-v2#classtensorflow_1_1ops_1_1_matrix_set_diag_v2_1a333c742af8203776572da9009d8c0930() const ` ` `` ` `https://www.tensorflow.org/versions/r2.0/api_docs/cc/class/tensorflow/ops/matrix-set-diag-v2#classtensorflow_1_1ops_1_1_matrix_set_diag_v2_1a0574bd8260d99f8d93fa3a0cb880f0fa() const ` ` `` ` Public attributes ### operation ``` Operation operation ``` ### output ``` ::tensorflow::Output output ``` Public functions ### MatrixSetDiagV2 ``` MatrixSetDiagV2( const ::tensorflow::Scope & scope, ::tensorflow::Input input, ::tensorflow::Input diagonal, ::tensorflow::Input k ) ``` ### node ``` ::tensorflow::Node * node() const ``` ### operator::tensorflow::Input ``` operator::tensorflow::Input() const ``` ### operator::tensorflow::Output ``` operator::tensorflow::Output() const ``` ````