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Hardware-accelerated JavaScript library for machine intelligence

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/** * @license * Copyright 2018 Google Inc. All Rights Reserved. * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. * ============================================================================= */ import { Tensor, Tensor1D, Tensor2D, Tensor3D, Tensor4D, TensorBuffer } from '../tensor'; import { DataType, DataTypeMap, Rank, ShapeMap, TensorLike, TensorLike4D } from '../types'; /** * Broadcast an array to a compatible shape NumPy-style. * * The tensor's shape is compared to the broadcast shape from end to beginning. * Ones are prepended to the tensor's shape until is has the same length as * the broadcast shape. If input.shape[i]==shape[i], the (i+1)-th axis is * already broadcast-compatible. If input.shape[i]==1 and shape[i]==N, then * the input tensor is tiled N times along that axis (using tf.tile). * * @param input The tensor that is to be broadcasted. * @param shape The input is to be broadcast to this shape. */ /** @doc {heading: 'Tensors', subheading: 'Transformations'} */ declare function broadcastTo_<R extends Rank>(x: Tensor | TensorLike, shape: ShapeMap[R]): Tensor<R>; /** * Creates a new tensor with the same values and shape as the specified * tensor. * * ```js * const x = tf.tensor([1, 2]); * * x.clone().print(); * ``` * * @param x The tensor to clone. */ /** @doc {heading: 'Tensors', subheading: 'Creation'} */ declare function clone_<T extends Tensor>(x: T | TensorLike): T; /** * Create an identity matrix. * * @param numRows Number of rows. * @param numColumns Number of columns. Defaults to `numRows`. * @param batchShape If provided, will add the batch shape to the beginning * of the shape of the returned `tf.Tensor` by repeating the identity * matrix. * @param dtype Data type. * @returns Identity matrix of the specified size and data type, possibly * with batch repetition if `batchShape` is specified. */ /** @doc {heading: 'Tensors', subheading: 'Creation'} */ declare function eye_(numRows: number, numColumns?: number, batchShape?: [number] | [number, number] | [number, number, number] | [number, number, number, number], dtype?: DataType): Tensor2D; /** * Creates a `tf.Tensor` with values sampled from a normal distribution. * * ```js * tf.randomNormal([2, 2]).print(); * ``` * * @param shape An array of integers defining the output tensor shape. * @param mean The mean of the normal distribution. * @param stdDev The standard deviation of the normal distribution. * @param dtype The data type of the output. * @param seed The seed for the random number generator. */ /** @doc {heading: 'Tensors', subheading: 'Random'} */ declare function randomNormal_<R extends Rank>(shape: ShapeMap[R], mean?: number, stdDev?: number, dtype?: 'float32' | 'int32', seed?: number): Tensor<R>; /** * Creates a `tf.Tensor` with values sampled from a truncated normal * distribution. * * ```js * tf.truncatedNormal([2, 2]).print(); * ``` * * The generated values follow a normal distribution with specified mean and * standard deviation, except that values whose magnitude is more than 2 * standard deviations from the mean are dropped and re-picked. * * @param shape An array of integers defining the output tensor shape. * @param mean The mean of the normal distribution. * @param stdDev The standard deviation of the normal distribution. * @param dtype The data type of the output tensor. * @param seed The seed for the random number generator. */ /** @doc {heading: 'Tensors', subheading: 'Creation'} */ declare function truncatedNormal_<R extends Rank>(shape: ShapeMap[R], mean?: number, stdDev?: number, dtype?: 'float32' | 'int32', seed?: number): Tensor<R>; /** * Creates a `tf.Tensor` with values sampled from a gamma distribution. * * ```js * tf.randomGamma([2, 2], 1).print(); * ``` * * @param shape An array of integers defining the output tensor shape. * @param alpha The shape parameter of the gamma distribution. * @param beta The inverse scale parameter of the gamma distribution. Defaults * to 1. * @param dtype The data type of the output. Defaults to float32. * @param seed The seed for the random number generator. */ /** @doc {heading: 'Tensors', subheading: 'Random'} */ declare function randomGamma_<R extends Rank>(shape: ShapeMap[R], alpha: number, beta?: number, dtype?: 'float32' | 'int32', seed?: number): Tensor<R>; /** * Creates a `tf.Tensor` with values sampled from a uniform distribution. * * The generated values follow a uniform distribution in the range [minval, * maxval). The lower bound minval is included in the range, while the upper * bound maxval is excluded. * * ```js * tf.randomUniform([2, 2]).print(); * ``` * * @param shape An array of integers defining the output tensor shape. * @param minval The lower bound on the range of random values to generate. * Defaults to 0. * @param maxval The upper bound on the range of random values to generate. * Defaults to 1. * @param dtype The data type of the output tensor. Defaults to 'float32'. */ /** @doc {heading: 'Tensors', subheading: 'Random'} */ declare function randomUniform_<R extends Rank>(shape: ShapeMap[R], minval?: number, maxval?: number, dtype?: DataType, seed?: number | string): Tensor<R>; /** * Creates a `tf.Tensor` with values sampled from a random number generator * function defined by the user. * * @param shape An array of integers defining the output tensor shape. * @param randFunction A random number generator function which is called * for each element in the output tensor. * @param dtype The data type of the output tensor. Defaults to 'float32'. */ declare function rand_<R extends Rank>(shape: ShapeMap[R], randFunction: () => number, dtype?: DataType): Tensor<R>; /** * Creates a `tf.Tensor` with values drawn from a multinomial distribution. * * ```js * const probs = tf.tensor([.75, .25]); * tf.multinomial(probs, 3).print(); * ``` * * @param logits 1D array with unnormalized log-probabilities, or * 2D array of shape `[batchSize, numOutcomes]`. See the `normalized` * parameter. * @param numSamples Number of samples to draw for each row slice. * @param seed The seed number. * @param normalized Whether the provided `logits` are normalized true * probabilities (sum to 1). Defaults to false. * @return 1D array of shape `[numSamples]`, or 2D array of shape * `[batchSize, numSamples]`, depending on the rank of the input. */ /** @doc {heading: 'Tensors', subheading: 'Random'} */ declare function multinomial_(logits: Tensor1D | Tensor2D | TensorLike, numSamples: number, seed?: number, normalized?: boolean): Tensor1D | Tensor2D; /** * Creates a one-hot `tf.Tensor`. The locations represented by `indices` take * value `onValue` (defaults to 1), while all other locations take value * `offValue` (defaults to 0). If `indices` is rank `R`, the output has rank * `R+1` with the last axis of size `depth`. * * ```js * tf.oneHot(tf.tensor1d([0, 1], 'int32'), 3).print(); * ``` * * @param indices `tf.Tensor` of indices with dtype `int32`. * @param depth The depth of the one hot dimension. * @param onValue A number used to fill in the output when the index matches * the location. * @param offValue A number used to fill in the output when the index does * not match the location. */ /** @doc {heading: 'Tensors', subheading: 'Creation'} */ declare function oneHot_(indices: Tensor | TensorLike, depth: number, onValue?: number, offValue?: number): Tensor; /** * Reshapes a `tf.Tensor` to a given shape. * * Given an input tensor, returns a new tensor with the same values as the * input tensor with shape `shape`. * * If one component of shape is the special value -1, the size of that * dimension is computed so that the total size remains constant. In * particular, a shape of [-1] flattens into 1-D. At most one component of * shape can be -1. * * If shape is 1-D or higher, then the operation returns a tensor with shape * shape filled with the values of tensor. In this case, the number of * elements implied by shape must be the same as the number of elements in * tensor. * * ```js * const x = tf.tensor1d([1, 2, 3, 4]); * x.reshape([2, 2]).print(); * ``` * * @param x The input tensor to be reshaped. * @param shape An array of integers defining the output tensor shape. */ /** @doc {heading: 'Tensors', subheading: 'Transformations'} */ declare function reshape_<R2 extends Rank>(x: Tensor | TensorLike, shape: ShapeMap[R2]): Tensor<R2>; /** * Removes dimensions of size 1 from the shape of a `tf.Tensor`. * * ```js * const x = tf.tensor([1, 2, 3, 4], [1, 1, 4]); * x.squeeze().print(); * ``` * * @param x The input tensor to be squeezed. * @param axis An optional list of numbers. If specified, only * squeezes the dimensions listed. The dimension index starts at 0. It * is an error to squeeze a dimension that is not 1. */ /** @doc {heading: 'Tensors', subheading: 'Transformations'} */ declare function squeeze_<T extends Tensor>(x: Tensor | TensorLike, axis?: number[]): T; /** * Casts a `tf.Tensor` to a new dtype. * * ```js * const x = tf.tensor1d([1.5, 2.5, 3]); * tf.cast(x, 'int32').print(); * ``` * @param x The input tensor to be casted. * @param dtype The dtype to cast the input tensor to. */ /** @doc {heading: 'Tensors', subheading: 'Transformations'} */ declare function cast_<T extends Tensor>(x: T | TensorLike, dtype: DataType): T; /** * Construct a tensor by repeating it the number of times given by reps. * * This operation creates a new tensor by replicating `input` `reps` * times. The output tensor's i'th dimension has `input.shape[i] * * reps[i]` elements, and the values of `input` are replicated * `reps[i]` times along the i'th dimension. For example, tiling * `[a, b, c, d]` by `[2]` produces `[a, b, c, d, a, b, c, d]`. * * ```js * const a = tf.tensor1d([1, 2]); * * a.tile([2]).print(); // or a.tile([2]) * ``` * * ```js * const a = tf.tensor2d([1, 2, 3, 4], [2, 2]); * * a.tile([1, 2]).print(); // or a.tile([1, 2]) * ``` * @param x The tensor to tile. * @param reps Determines the number of replications per dimension. */ /** @doc {heading: 'Tensors', subheading: 'Slicing and Joining'} */ declare function tile_<T extends Tensor>(x: T | TensorLike, reps: number[]): T; /** * Pads a `tf.Tensor1D` with a given value and paddings. See `pad` for details. */ declare function pad1d_(x: Tensor1D | TensorLike, paddings: [number, number], constantValue?: number): Tensor1D; /** * Pads a `tf.Tensor2D` with a given value and paddings. See `pad` for details. */ declare function pad2d_(x: Tensor2D | TensorLike, paddings: [[number, number], [number, number]], constantValue?: number): Tensor2D; /** * Pads a `tf.Tensor3D` with a given value and paddings. See `pad` for details. */ declare function pad3d_(x: Tensor3D | TensorLike, paddings: [[number, number], [number, number], [number, number]], constantValue?: number): Tensor3D; /** * Pads a `tf.Tensor4D` with a given value and paddings. See `pad` for details. */ declare function pad4d_(x: Tensor4D | TensorLike, paddings: [[number, number], [number, number], [number, number], [number, number]], constantValue?: number): Tensor4D; /** * Pads a `tf.Tensor` with a given value and paddings. * * This operation currently only implements the `CONSTANT` mode. * * Also available are stricter rank-specific methods with the same signature * as this method that assert that `paddings` is of given length. * - `tf.pad1d` * - `tf.pad2d` * - `tf.pad3d` * - `tf.pad4d` * * ```js * const x = tf.tensor1d([1, 2, 3, 4]); * x.pad([[1, 2]]).print(); * ``` * @param x The tensor to pad. * @param paddings An array of length `R` (the rank of the tensor), where * each element is a length-2 tuple of ints `[padBefore, padAfter]`, * specifying how much to pad along each dimension of the tensor. * @param constantValue The pad value to use. Defaults to 0. */ /** @doc {heading: 'Tensors', subheading: 'Transformations'} */ declare function pad_<T extends Tensor>(x: T | TensorLike, paddings: Array<[number, number]>, constantValue?: number): T; /** * Stacks a list of rank-`R` `tf.Tensor`s into one rank-`(R+1)` `tf.Tensor`. * * ```js * const a = tf.tensor1d([1, 2]); * const b = tf.tensor1d([3, 4]); * const c = tf.tensor1d([5, 6]); * tf.stack([a, b, c]).print(); * ``` * * @param tensors A list of tensor objects with the same shape and dtype. * @param axis The axis to stack along. Defaults to 0 (the first dim). */ /** @doc {heading: 'Tensors', subheading: 'Slicing and Joining'} */ declare function stack_<T extends Tensor>(tensors: Array<T | TensorLike>, axis?: number): Tensor; /** * This operation reshapes the "batch" dimension 0 into `M + 1` dimensions of * shape `blockShape + [batch]`, interleaves these blocks back into the grid * defined by the spatial dimensions `[1, ..., M]`, to obtain a result with * the same rank as the input. The spatial dimensions of this intermediate * result are then optionally cropped according to `crops` to produce the * output. This is the reverse of `tf.spaceToBatchND`. See below for a precise * description. * * ```js * const x = tf.tensor4d([1, 2, 3, 4], [4, 1, 1, 1]); * const blockShape = [2, 2]; * const crops = [[0, 0], [0, 0]]; * * x.batchToSpaceND(blockShape, crops).print(); * ``` * * @param x A `tf.Tensor`. N-D with `x.shape` = `[batch] + spatialShape + * remainingShape`, where spatialShape has `M` dimensions. * @param blockShape A 1-D array. Must have shape `[M]`, all values must * be >= 1. * @param crops A 2-D array. Must have shape `[M, 2]`, all values must be >= 0. * `crops[i] = [cropStart, cropEnd]` specifies the amount to crop from input * dimension `i + 1`, which corresponds to spatial dimension `i`. It is required * that `cropStart[i] + cropEnd[i] <= blockShape[i] * inputShape[i + 1]` * * This operation is equivalent to the following steps: * * 1. Reshape `x` to `reshaped` of shape: `[blockShape[0], ..., * blockShape[M-1], batch / prod(blockShape), x.shape[1], ..., * x.shape[N-1]]` * * 2. Permute dimensions of `reshaped`to produce `permuted` of shape `[batch / * prod(blockShape),x.shape[1], blockShape[0], ..., x.shape[M], * blockShape[M-1],x.shape[M+1], ..., x.shape[N-1]]` * * 3. Reshape `permuted` to produce `reshapedPermuted` of shape `[batch / * prod(blockShape),x.shape[1] * blockShape[0], ..., x.shape[M] * * blockShape[M-1],x.shape[M+1], ..., x.shape[N-1]]` * * 4. Crop the start and end of dimensions `[1, ..., M]` of `reshapedPermuted` * according to `crops` to produce the output of shape: `[batch / * prod(blockShape),x.shape[1] * blockShape[0] - crops[0,0] - crops[0,1], * ..., x.shape[M] * blockShape[M-1] - crops[M-1,0] - * crops[M-1,1],x.shape[M+1], ..., x.shape[N-1]]` */ /** @doc {heading: 'Tensors', subheading: 'Transformations'} */ declare function batchToSpaceND_<T extends Tensor>(x: T | TensorLike, blockShape: number[], crops: number[][]): T; /** * This operation divides "spatial" dimensions `[1, ..., M]` of the input into * a grid of blocks of shape `blockShape`, and interleaves these blocks with * the "batch" dimension (0) such that in the output, the spatial * dimensions `[1, ..., M]` correspond to the position within the grid, * and the batch dimension combines both the position within a spatial block * and the original batch position. Prior to division into blocks, * the spatial dimensions of the input are optionally zero padded * according to `paddings`. See below for a precise description. * * ```js * const x = tf.tensor4d([1, 2, 3, 4], [1, 2, 2, 1]); * const blockShape = [2, 2]; * const paddings = [[0, 0], [0, 0]]; * * x.spaceToBatchND(blockShape, paddings).print(); * ``` * * @param x A `tf.Tensor`. N-D with `x.shape` = `[batch] + spatialShape + * remainingShape`, where spatialShape has `M` dimensions. * @param blockShape A 1-D array. Must have shape `[M]`, all values must * be >= 1. * @param paddings A 2-D array. Must have shape `[M, 2]`, all values must be >= * 0. `paddings[i] = [padStart, padEnd]` specifies the amount to zero-pad * from input dimension `i + 1`, which corresponds to spatial dimension `i`. It * is required that * `(inputShape[i + 1] + padStart + padEnd) % blockShape[i] === 0` * * This operation is equivalent to the following steps: * * 1. Zero-pad the start and end of dimensions `[1, ..., M]` of the input * according to `paddings` to produce `padded` of shape paddedShape. * * 2. Reshape `padded` to `reshapedPadded` of shape: * `[batch] + [paddedShape[1] / blockShape[0], blockShape[0], ..., * paddedShape[M] / blockShape[M-1], blockShape[M-1]] + remainingShape` * * 3. Permute dimensions of `reshapedPadded` to produce `permutedReshapedPadded` * of shape: `blockShape + [batch] + [paddedShape[1] / blockShape[0], ..., * paddedShape[M] / blockShape[M-1]] + remainingShape` * * 4. Reshape `permutedReshapedPadded` to flatten `blockShape` into the * batch dimension, producing an output tensor of shape: * `[batch * prod(blockShape)] + [paddedShape[1] / blockShape[0], ..., * paddedShape[M] / blockShape[M-1]] + remainingShape` */ /** @doc {heading: 'Tensors', subheading: 'Transformations'} */ declare function spaceToBatchND_<T extends Tensor>(x: T | TensorLike, blockShape: number[], paddings: number[][]): T; /** * Unstacks a `tf.Tensor` of rank-`R` into a list of rank-`(R-1)` `tf.Tensor`s. * * ```js * const a = tf.tensor2d([1, 2, 3, 4], [2, 2]); * * tf.unstack(a).forEach(tensor => tensor.print()); * ``` * * @param x A tensor object. * @param axis The axis to unstack along. Defaults to 0 (the first dim). */ /** @doc {heading: 'Tensors', subheading: 'Slicing and Joining'} */ declare function unstack_(x: Tensor | TensorLike, axis?: number): Tensor[]; /** * Computes the cumulative sum of a `tf.Tensor` along `axis`. * * ```js * const x = tf.tensor([1, 2, 3, 4]); * x.cumsum().print(); * ``` * ```js * const x = tf.tensor([[1, 2], [3, 4]]); * x.cumsum().print(); * ``` * * @param x The input tensor to be summed. * @param axis The axis along which to sum. Optional. Defaults to 0. * @param exclusive Whether to perform exclusive cumulative sum. Optional. * Defaults to false. If set to true then the sum of each tensor entry * does not include its own value, but only the values previous to it * along the specified axis. * @param reverse Whether to sum in the opposite direction. Optional. * Defaults to false. */ /** @doc {heading: 'Operations', subheading: 'Scan'} */ declare function cumsum_<T extends Tensor>(x: Tensor | TensorLike, axis?: number, exclusive?: boolean, reverse?: boolean): T; /** * Returns a `tf.Tensor` that has expanded rank, by inserting a dimension * into the tensor's shape. * * ```js * const x = tf.tensor1d([1, 2, 3, 4]); * const axis = 1; * x.expandDims(axis).print(); * ``` * * @param x The input tensor whose dimensions to be expanded. * @param axis The dimension index at which to insert shape of `1`. Defaults * to 0 (the first dimension). */ /** @doc {heading: 'Tensors', subheading: 'Transformations'} */ declare function expandDims_<R2 extends Rank>(x: Tensor | TensorLike, axis?: number): Tensor<R2>; /** * Rearranges data from depth into blocks of spatial data. More specifically, * this op outputs a copy of the input tensor where values from the `depth` * dimension are moved in spatial blocks to the `height` and `width` dimensions. * The attr `blockSize` indicates the input block size and how the data is * moved. * * - Chunks of data of size `blockSize * blockSize` from depth are rearranged * into non-overlapping blocks of size `blockSize x blockSize` * * - The width the output tensor is `inputWidth * blockSize`, whereas the * height is `inputHeight * blockSize` * * - The Y, X coordinates within each block of the output image are determined * by the high order component of the input channel index * * - The depth of the input tensor must be divisible by `blockSize * * blockSize` * * The `dataFormat` attr specifies the layout of the input and output tensors * with the following options: "NHWC": [ `batch, height, width, channels` ] * "NCHW": [ `batch, channels, height, width` ] * * ```js * const x = tf.tensor4d([1, 2, 3, 4], [1, 1, 1, 4]); * const blockSize = 2; * const dataFormat = "NHWC"; * * tf.depthToSpace(x, blockSize, dataFormat).print(); * ``` * * @param x The input tensor of rank 4 * @param blockSIze An `int` that is `>= 2`. The size of the spatial block * @param dataFormat An optional string from: "NHWC", "NCHW". Defaults to "NHWC" */ /** @doc {heading: 'Tensors', subheading: 'Transformations'} */ declare function depthToSpace_(x: Tensor4D | TensorLike4D, blockSize: number, dataFormat?: 'NHWC' | 'NCHW'): Tensor4D; /** * Computes the difference between two lists of numbers. * * Given a Tensor `x` and a Tensor `y`, this operation returns a Tensor `out` * that represents all values that are in `x` but not in `y`. The returned * Tensor `out` is sorted in the same order that the numbers appear in `x` * (duplicates are preserved). This operation also returns a Tensor indices that * represents the position of each out element in `x`. In other words: * * `out[i] = x[idx[i]] for i in [0, 1, ..., out.length - 1]` * * ```js * const x = [1, 2, 3, 4, 5, 6]; * const y = [1, 3, 5]; * * const [out, indices] = await tf.setdiff1dAsync(x, y); * out.print(); // [2, 4, 6] * indices.print(); // [1, 3, 5] * ``` * * @param x 1-D Tensor. Values to keep. * @param y 1-D Tensor. Must have the same type as x. Values to exclude in the * output. * @returns Promise of Tensor tuple [out, indices]. * out: Tensor with the same type as x. * indices: A Tensor of type int32. */ /** @doc {heading: 'Tensors', subheading: 'Transformations'} */ declare function setdiff1dAsync_(x: Tensor | TensorLike, y: Tensor | TensorLike): Promise<[Tensor, Tensor]>; /** * Creates an empty `tf.TensorBuffer` with the specified `shape` and `dtype`. * * The values are stored in CPU as `TypedArray`. Fill the buffer using * `buffer.set()`, or by modifying directly `buffer.values`. * * When done, call `buffer.toTensor()` to get an immutable `tf.Tensor` with * those values. * * ```js * // Create a buffer and set values at particular indices. * const buffer = tf.buffer([2, 2]); * buffer.set(3, 0, 0); * buffer.set(5, 1, 0); * * // Convert the buffer back to a tensor. * buffer.toTensor().print(); * ``` * * @param shape An array of integers defining the output tensor shape. * @param dtype The dtype of the buffer. Defaults to 'float32'. * @param values The values of the buffer as `TypedArray`. Defaults to * zeros. */ /** @doc {heading: 'Tensors', subheading: 'Creation'} */ declare function buffer<R extends Rank, D extends DataType = 'float32'>(shape: ShapeMap[R], dtype?: D, values?: DataTypeMap[D]): TensorBuffer<R, D>; /** * Prints information about the `tf.Tensor` including its data. * * ```js * const verbose = true; * tf.tensor2d([1, 2, 3, 4], [2, 2]).print(verbose); * ``` * @param x The tensor to be printed. * @param verbose Whether to print verbose information about the ` Tensor`, * including dtype and size. */ /** @doc {heading: 'Tensors', subheading: 'Creation'} */ declare function print<T extends Tensor>(x: T, verbose?: boolean): void; export { buffer, // Not wrapped in op() since no tensors. print }; export declare const batchToSpaceND: typeof batchToSpaceND_; export declare const broadcastTo: typeof broadcastTo_; export declare const cast: typeof cast_; export declare const clone: typeof clone_; export declare const cumsum: typeof cumsum_; export declare const depthToSpace: typeof depthToSpace_; export declare const expandDims: typeof expandDims_; export declare const eye: typeof eye_; export declare const multinomial: typeof multinomial_; export declare const oneHot: typeof oneHot_; export declare const pad: typeof pad_; export declare const pad1d: typeof pad1d_; export declare const pad2d: typeof pad2d_; export declare const pad3d: typeof pad3d_; export declare const pad4d: typeof pad4d_; export declare const rand: typeof rand_; export declare const randomNormal: typeof randomNormal_; export declare const randomGamma: typeof randomGamma_; export declare const randomUniform: typeof randomUniform_; export declare const reshape: typeof reshape_; export declare const spaceToBatchND: typeof spaceToBatchND_; export declare const squeeze: typeof squeeze_; export declare const stack: typeof stack_; export declare const tile: typeof tile_; export declare const truncatedNormal: typeof truncatedNormal_; export declare const unstack: typeof unstack_; export declare const setdiff1dAsync: typeof setdiff1dAsync_;