Documentation Index
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diag_indices
Return the indices to access the main diagonal of an array with ndim dimensions.
function diag_indices(n: number, ndim?: number): NDArray[]
| Name | Type | Default | Description |
|---|
n | number | — | Size of the array along each dimension. |
ndim | number | 2 | Number of dimensions. |
Returns: NDArray[] — Tuple of ndim index arrays, each of length n, that together select the main diagonal.
import * as np from 'numpy-ts';
const [di, dj] = np.diag_indices(3);
// di: array([0, 1, 2])
// dj: array([0, 1, 2])
// Use to set the diagonal of a matrix
const a = np.zeros([3, 3]);
a.iset([di, dj], 1);
// array([[1, 0, 0],
// [0, 1, 0],
// [0, 0, 1]])
diag_indices_from
Return the indices to access the main diagonal of a given array.
function diag_indices_from(a: ArrayLike): NDArray[]
| Name | Type | Default | Description |
|---|
a | ArrayLike | — | Array whose diagonal indices are desired. Must be at least 2-D and have equal-length dimensions. |
Returns: NDArray[] — Tuple of index arrays that select the main diagonal of arr.
import * as np from 'numpy-ts';
const a = np.eye(4);
const [di, dj] = np.diag_indices_from(a);
// di: array([0, 1, 2, 3])
// dj: array([0, 1, 2, 3])
tril_indices
Return the indices for the lower triangle of an (n, m) array.
function tril_indices(n: number, k?: number, m?: number): NDArray[]
| Name | Type | Default | Description |
|---|
n | number | — | Number of rows in the array. |
k | number | 0 | Diagonal offset. k=0 is the main diagonal, k<0 is below it, k>0 is above it. |
m | number | n | Number of columns. Defaults to n (square array). |
Returns: [NDArray, NDArray] — Row and column index arrays for the lower triangle.
import * as np from 'numpy-ts';
const [rows, cols] = np.tril_indices(3);
// rows: array([0, 1, 1, 2, 2, 2])
// cols: array([0, 0, 1, 0, 1, 2])
// Include one diagonal above the main
const [r, c] = np.tril_indices(3, 1);
// r: array([0, 0, 1, 1, 1, 2, 2, 2])
// c: array([0, 1, 0, 1, 2, 0, 1, 2])
tril_indices_from
Return the indices for the lower triangle of a given array.
function tril_indices_from(a: ArrayLike, k?: number): NDArray[]
| Name | Type | Default | Description |
|---|
a | ArrayLike | — | Input array. Must be at least 2-D. Uses the last two dimensions to determine the triangle. |
k | number | 0 | Diagonal offset. |
Returns: [NDArray, NDArray] — Row and column index arrays for the lower triangle.
import * as np from 'numpy-ts';
const a = np.ones([3, 4]);
const [rows, cols] = np.tril_indices_from(a);
// rows: array([0, 1, 1, 2, 2, 2])
// cols: array([0, 0, 1, 0, 1, 2])
triu_indices
Return the indices for the upper triangle of an (n, m) array.
function triu_indices(n: number, k?: number, m?: number): NDArray[]
| Name | Type | Default | Description |
|---|
n | number | — | Number of rows in the array. |
k | number | 0 | Diagonal offset. k=0 is the main diagonal, k<0 is below it, k>0 is above it. |
m | number | n | Number of columns. Defaults to n (square array). |
Returns: [NDArray, NDArray] — Row and column index arrays for the upper triangle.
import * as np from 'numpy-ts';
const [rows, cols] = np.triu_indices(3);
// rows: array([0, 0, 0, 1, 1, 2])
// cols: array([0, 1, 2, 1, 2, 2])
// Exclude the main diagonal
const [r, c] = np.triu_indices(3, 1);
// r: array([0, 0, 1])
// c: array([1, 2, 2])
triu_indices_from
Return the indices for the upper triangle of a given array.
function triu_indices_from(a: ArrayLike, k?: number): NDArray[]
| Name | Type | Default | Description |
|---|
a | ArrayLike | — | Input array. Must be at least 2-D. Uses the last two dimensions to determine the triangle. |
k | number | 0 | Diagonal offset. |
Returns: [NDArray, NDArray] — Row and column index arrays for the upper triangle.
import * as np from 'numpy-ts';
const a = np.ones([4, 4]);
const [rows, cols] = np.triu_indices_from(a);
// rows: array([0, 0, 0, 0, 1, 1, 1, 2, 2, 3])
// cols: array([0, 1, 2, 3, 1, 2, 3, 2, 3, 3])
mask_indices
Return the indices to access an (n, n) array given a masking function.
function mask_indices(
n: number,
mask_func: (n: number, k?: number) => NDArray,
k?: number
): NDArray[]
| Name | Type | Default | Description |
|---|
n | number | — | Size of the square array. |
mask_func | (n: number, k?: number) => NDArray | — | A function that accepts (n, k) and returns a 2-D boolean or integer array (like triu or tril). |
k | number | 0 | Optional diagonal offset passed to mask_func. |
Returns: [NDArray, NDArray] — Row and column index arrays where mask_func returns non-zero values.
import * as np from 'numpy-ts';
// Get indices of upper triangle (excluding diagonal)
const [rows, cols] = np.mask_indices(3, np.triu, 1);
// rows: array([0, 0, 1])
// cols: array([1, 2, 2])
indices
Return an array representing the indices of a grid.
function indices(
dimensions: number[],
dtype?: 'int32' | 'int64' | 'float64'
): NDArray
| Name | Type | Default | Description |
|---|
dimensions | number[] | — | Shape of the grid. |
dtype | 'int32' | 'int64' | 'float64' | 'int32' | Data type of the result. |
Returns: NDArray dense grid with shape [N, ...dimensions].
import * as np from 'numpy-ts';
const grid = np.indices([2, 3]);
// grid[0]: array([[0, 0, 0], [1, 1, 1]]) -- row indices
// grid[1]: array([[0, 1, 2], [0, 1, 2]]) -- column indices
ix_
Construct an open mesh from multiple sequences. This is useful for constructing index arrays for cross-indexing.
function ix_(...args: ArrayLike[]): NDArray[]
| Name | Type | Default | Description |
|---|
...args | ArrayLike[] | — | 1-D sequences. Each sequence is reshaped so that it broadcasts against the others. |
Returns: NDArray[] — Tuple of N-D arrays with shapes (len(a0), 1, ..., 1), (1, len(a1), 1, ..., 1), etc.
import * as np from 'numpy-ts';
const [iy, ix] = np.ix_([0, 2], [1, 3]);
// iy: array([[0], [2]]) -- shape [2, 1]
// ix: array([[1, 3]]) -- shape [1, 2]
// Use for cross-indexing a 4x4 matrix
const a = np.arange(16).reshape([4, 4]);
// Select rows 0,2 and columns 1,3
fill_diagonal
Fill the main diagonal of the given array in-place.
function fill_diagonal(a: NDArray, val: number, wrap?: boolean): void
| Name | Type | Default | Description |
|---|
a | NDArray | — | Array to modify. Must be at least 2-D. |
val | number | ArrayLike | — | Value(s) to write on the diagonal. If an array, values are repeated cyclically to fill the entire diagonal. |
wrap | boolean | false | For tall matrices (rows > cols), if true, the diagonal wraps after reaching the last column. |
Returns: void — The array a is modified in-place.
import * as np from 'numpy-ts';
const a = np.zeros([3, 3]);
np.fill_diagonal(a, 5);
// array([[5, 0, 0],
// [0, 5, 0],
// [0, 0, 5]])
const b = np.zeros([3, 3]);
np.fill_diagonal(b, [1, 2, 3]);
// array([[1, 0, 0],
// [0, 2, 0],
// [0, 0, 3]])