/** * @license * Copyright 2020 Google LLC. 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. * ============================================================================= */ /** An implementation of the TopK kernel shared between webgl and cpu. */ import { buffer, util } from '@tensorflow/tfjs-core'; const comparePair = (a, b) => { const valueDiff = b.value - a.value; return valueDiff === 0 ? a.index - b.index : valueDiff; }; /** * Partitions array where all elements smaller than the (k+1) smallest element * are found to the left of it, and all larger to the right of it. * Based on the Floyd-Rivest Algorithm, ref: * https://en.wikipedia.org/wiki/Floyd%E2%80%93Rivest_algorithm * @param array: Array to partition * @param left: Left index for the interval * @param right: Right index for the interval * @param k: Desired index value, where array[k] is the (k+1)th smallest element * when left = 0 */ function select(array, k, left = 0, right = array.length - 1) { while (right > left) { // Use select recursively to sample a smaller set of size s // the arbitrary constants 600 and 0.5 are used in the original // version to minimize execution time. if (right - left > 600) { const n = right - left + 1; const i = k - left + 1; const z = Math.log(n); const s = 0.5 * Math.exp(2 * z / 3); const sd = 0.5 * Math.sqrt(z * s * (n - s) / n) * Math.sign(i - n / 2); const newLeft = Math.max(left, Math.floor(k - i * s / n + sd)); const newRight = Math.min(right, Math.floor(k + (n - i) * s / n + sd)); select(array, k, newLeft, newRight); } // partition the elements between left and right around t const t = array[k]; let i = left; let j = right; util.swap(array, left, k); if (comparePair(array[right], t) > 0) { util.swap(array, left, right); } while (i < j) { util.swap(array, i, j); i++; j--; while (comparePair(array[i], t) < 0) { i = i + 1; } while (comparePair(array[j], t) > 0) { j = j - 1; } } if (comparePair(array[left], t) === 0) { util.swap(array, left, j); } else { j = j + 1; util.swap(array, j, right); } // Adjust left and right towards the boundaries of the subset // containing the (k - left + 1)th smallest element. if (j <= k) { left = j + 1; } if (k <= j) { right = j - 1; } } } export function topKImpl(x, xShape, xDtype, k, sorted) { // Reshape into a 2d tensor [batch, lastDim] and compute topk along lastDim. const lastDim = xShape[xShape.length - 1]; const [batch, size] = [x.length / lastDim, lastDim]; const allTopKVals = util.getTypedArrayFromDType(xDtype, batch * k); const allTopKIndices = util.getTypedArrayFromDType('int32', batch * k); for (let b = 0; b < batch; b++) { const offset = b * size; const vals = x.subarray(offset, offset + size); let valAndInd = new Array(vals.length); vals.forEach((value, index) => valAndInd[index] = { value, index }); if (k < valAndInd.length) { select(valAndInd, k); valAndInd = valAndInd.slice(0, k); } if (sorted) { valAndInd.sort(comparePair); } const outOffset = b * k; const topKVals = allTopKVals.subarray(outOffset, outOffset + k); const topKIndices = allTopKIndices.subarray(outOffset, outOffset + k); for (let i = 0; i < k; i++) { topKVals[i] = valAndInd[i].value; topKIndices[i] = valAndInd[i].index; } } // Reshape back to the original input shape, except that the last // dimension is k. const outputShape = xShape.slice(); outputShape[outputShape.length - 1] = k; return [ buffer(outputShape, xDtype, allTopKVals), buffer(outputShape, 'int32', allTopKIndices) ]; 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All Rights Reserved.\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n *\n * Unless required by applicable law or agreed to in writing, software\n * distributed under the License is distributed on an \"AS IS\" BASIS,\n * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n * See the License for the specific language governing permissions and\n * limitations under the License.\n * =============================================================================\n */\n\n/** An implementation of the TopK kernel shared between webgl and cpu. */\n\nimport {buffer, NumericDataType, Rank, ShapeMap, Tensor, TensorBuffer, TypedArray, util} from '@tensorflow/tfjs-core';\n\ntype Pair = {\n  value: number,\n  index: number\n};\n\nconst comparePair = (a: Pair, b: Pair) => {\n  const valueDiff = b.value - a.value;\n  return valueDiff === 0 ? a.index - b.index : valueDiff;\n};\n\n/**\n * Partitions array where all elements smaller than the (k+1) smallest element\n * are found to the left of it, and all larger to the right of it.\n * Based on the Floyd-Rivest Algorithm, ref:\n * https://en.wikipedia.org/wiki/Floyd%E2%80%93Rivest_algorithm\n * @param array: Array to partition\n * @param left: Left index for the interval\n * @param right: Right index for the interval\n * @param k: Desired index value, where array[k] is the (k+1)th smallest element\n *           when left = 0\n */\nfunction select(array: Pair[], k: number, left = 0, right = array.length - 1) {\n  while (right > left) {\n    // Use select recursively to sample a smaller set of size s\n    // the arbitrary constants 600 and 0.5 are used in the original\n    // version to minimize execution time.\n    if (right - left > 600) {\n      const n = right - left + 1;\n      const i = k - left + 1;\n      const z = Math.log(n);\n      const s = 0.5 * Math.exp(2 * z / 3);\n      const sd = 0.5 * Math.sqrt(z * s * (n - s) / n) * Math.sign(i - n / 2);\n      const newLeft = Math.max(left, Math.floor(k - i * s / n + sd));\n      const newRight = Math.min(right, Math.floor(k + (n - i) * s / n + sd));\n      select(array, k, newLeft, newRight);\n    }\n    // partition the elements between left and right around t\n    const t = array[k];\n    let i = left;\n    let j = right;\n\n    util.swap(array, left, k);\n\n    if (comparePair(array[right], t) > 0) {\n      util.swap(array, left, right);\n    }\n    while (i < j) {\n      util.swap(array, i, j);\n      i++;\n      j--;\n      while (comparePair(array[i], t) < 0) {\n        i = i + 1;\n      }\n      while (comparePair(array[j], t) > 0) {\n        j = j - 1;\n      }\n    }\n    if (comparePair(array[left], t) === 0) {\n      util.swap(array, left, j);\n    } else {\n      j = j + 1;\n      util.swap(array, j, right);\n    }\n    // Adjust left and right towards the boundaries of the subset\n    // containing the (k - left + 1)th smallest element.\n    if (j <= k) {\n      left = j + 1;\n    }\n    if (k <= j) {\n      right = j - 1;\n    }\n  }\n}\n\nexport function topKImpl<T extends Tensor, R extends Rank>(\n    x: TypedArray, xShape: number[], xDtype: NumericDataType, k: number,\n    sorted: boolean):\n    [TensorBuffer<R, NumericDataType>, TensorBuffer<R, 'int32'>] {\n  // Reshape into a 2d tensor [batch, lastDim] and compute topk along lastDim.\n  const lastDim = xShape[xShape.length - 1];\n  const [batch, size] = [x.length / lastDim, lastDim];\n  const allTopKVals = util.getTypedArrayFromDType(xDtype, batch * k);\n  const allTopKIndices = util.getTypedArrayFromDType('int32', batch * k);\n\n  for (let b = 0; b < batch; b++) {\n    const offset = b * size;\n    const vals = x.subarray(offset, offset + size);\n\n    let valAndInd: Pair[] = new Array(vals.length);\n    vals.forEach(\n        (value: number, index: number) => valAndInd[index] = {value, index});\n\n    if (k < valAndInd.length) {\n      select(valAndInd, k);\n      valAndInd = valAndInd.slice(0, k);\n    }\n\n    if (sorted) {\n      valAndInd.sort(comparePair);\n    }\n    \n    const outOffset = b * k;\n    const topKVals = allTopKVals.subarray(outOffset, outOffset + k);\n    const topKIndices = allTopKIndices.subarray(outOffset, outOffset + k);\n    for (let i = 0; i < k; i++) {\n      topKVals[i] = valAndInd[i].value;\n      topKIndices[i] = valAndInd[i].index;\n    }\n  }\n  // Reshape back to the original input shape, except that the last\n  // dimension is k.\n  const outputShape = xShape.slice();\n  outputShape[outputShape.length - 1] = k;\n\n  return [\n    buffer(outputShape as ShapeMap[R], xDtype, allTopKVals),\n    buffer(outputShape as ShapeMap[R], 'int32', allTopKIndices)\n  ];\n}\n"]}