/** * @license * Copyright 2018 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. * ============================================================================= */ import { util } from '@tensorflow/tfjs-core'; /** * Produces GLSL code that derives logical coordinates from a flat * index. The code performs integer division with each stride and decrements * the index until the index equals the final dimension coordinate. */ export function getLogicalCoordinatesFromFlatIndex(coords, shape, index = 'index') { const strides = util.computeStrides(shape); return strides .map((stride, i) => { const line1 = `int ${coords[i]} = ${index} / ${stride}`; const line2 = i === strides.length - 1 ? `int ${coords[i + 1]} = ${index} - ${coords[i]} * ${stride}` : `index -= ${coords[i]} * ${stride}`; return `${line1}; ${line2};`; }) .join(''); } export function getOutputLogicalCoordinatesFromFlatIndexByUniform(coords, shape, index = 'index') { const strides = util.computeStrides(shape); return strides .map((_, i) => { const line1 = `int ${coords[i]} = ${index} / outShapeStrides[${i}]`; const line2 = i === strides.length - 1 ? `int ${coords[i + 1]} = ${index} - ${coords[i]} * outShapeStrides[${i}]` : `index -= ${coords[i]} * outShapeStrides[${i}]`; return `${line1}; ${line2};`; }) .join(''); } // Produces GLSL code that computes strides. function symbolicallyComputeStrides(indicesArr, variableName) { const numCoords = indicesArr.length; const shape = indicesArr.map(d => `${variableName}[${d}]`); const strides = new Array(numCoords - 1); strides[numCoords - 2] = shape[numCoords - 1]; for (let i = numCoords - 3; i >= 0; --i) { strides[i] = `(${strides[i + 1]} * ${shape[i + 1]})`; } return strides; } export function getLogicalCoordinatesFromFlatIndexByUniform(coords, variableName, index = 'index') { const indicesArray = coords.map((_, i) => i); const strides = symbolicallyComputeStrides(indicesArray, variableName); return strides .map((_, i) => { const line1 = `int ${coords[i]} = ${index} / ${strides[i]}`; const line2 = i === strides.length - 1 ? `int ${coords[i + 1]} = ${index} - ${coords[i]} * ${strides[i]}` : `index -= ${coords[i]} * ${strides[i]}`; return `${line1}; ${line2};`; }) .join(''); } function buildVec(x) { if (x.length === 1) { return `${x[0]}`; } return `vec${x.length}(${x.join(',')})`; } /** * Produces GLSL code that computes the dot product of the input x and y * vectors. Handles splitting inputs into increments of vec4s when necessary. */ export function dotify(x, y) { if (x.length !== y.length) { throw new Error(`Vectors to be dotted must be of the same length -` + `got ${x.length} and ${y.length}`); } const slices = []; const nearestVec4 = Math.floor(x.length / 4); const nearestVec4Remainder = x.length % 4; for (let i = 0; i < nearestVec4; i++) { const xSlice = x.slice(i * 4, i * 4 + 4); const ySlice = y.slice(i * 4, i * 4 + 4); slices.push(`${buildVec(xSlice)}, ${buildVec(ySlice)}`); } if (nearestVec4Remainder !== 0) { let xSlice = x.slice(nearestVec4 * 4); let ySlice = y.slice(nearestVec4 * 4); if (xSlice.length === 1) { xSlice = xSlice.map(d => `float(${d})`); ySlice = ySlice.map(d => `float(${d})`); } slices.push(`${buildVec(xSlice)}, ${buildVec(ySlice)}`); } return slices.map((d, i) => `dot(${d})`).join('+'); } /** * Produces GLSL that computes the flat index from 3D coordinates. */ export function getFlatIndexFrom3D(shape) { const strides = util.computeStrides(shape).map(d => d.toString()); return ` int getFlatIndex(ivec3 coords) { return coords.x * ${strides[0]} + coords.y * ${strides[1]} + coords.z; } `; } export function getFlatIndexFrom3DOutput() { return ` int getFlatIndex(ivec3 coords) { return coords.x * outShapeStrides[0] + coords.y * outShapeStrides[1] + coords.z; } `; } export const ENCODE_FLOAT_SNIPPET = ` const float FLOAT_MAX = 1.70141184e38; const float FLOAT_MIN = 1.17549435e-38; lowp vec4 encode_float(highp float v) { if (isnan(v)) { return vec4(255, 255, 255, 255); } highp float av = abs(v); if(av < FLOAT_MIN) { return vec4(0.0, 0.0, 0.0, 0.0); } else if(v > FLOAT_MAX) { return vec4(0.0, 0.0, 128.0, 127.0) / 255.0; } else if(v < -FLOAT_MAX) { return vec4(0.0, 0.0, 128.0, 255.0) / 255.0; } highp vec4 c = vec4(0,0,0,0); highp float e = floor(log2(av)); highp float m = exp2(fract(log2(av))) - 1.0; c[2] = floor(128.0 * m); m -= c[2] / 128.0; c[1] = floor(32768.0 * m); m -= c[1] / 32768.0; c[0] = floor(8388608.0 * m); highp float ebias = e + 127.0; c[3] = floor(ebias / 2.0); 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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\nimport {util} from '@tensorflow/tfjs-core';\n\n/**\n * Produces GLSL code that derives logical coordinates from a flat\n * index. The code performs integer division with each stride and decrements\n * the index until the index equals the final dimension coordinate.\n */\nexport function getLogicalCoordinatesFromFlatIndex(\n    coords: string[], shape: number[], index = 'index'): string {\n  const strides = util.computeStrides(shape);\n  return strides\n      .map((stride, i) => {\n        const line1 = `int ${coords[i]} = ${index} / ${stride}`;\n        const line2 = i === strides.length - 1 ?\n            `int ${coords[i + 1]} = ${index} - ${coords[i]} * ${stride}` :\n            `index -= ${coords[i]} * ${stride}`;\n        return `${line1}; ${line2};`;\n      })\n      .join('');\n}\n\nexport function getOutputLogicalCoordinatesFromFlatIndexByUniform(\n    coords: string[], shape: number[], index = 'index'): string {\n  const strides = util.computeStrides(shape);\n  return strides\n      .map((_, i) => {\n        const line1 = `int ${coords[i]} = ${index} / outShapeStrides[${i}]`;\n        const line2 = i === strides.length - 1 ?\n            `int ${coords[i + 1]} = ${index} - ${coords[i]} * outShapeStrides[${\n                i}]` :\n            `index -= ${coords[i]} * outShapeStrides[${i}]`;\n        return `${line1}; ${line2};`;\n      })\n      .join('');\n}\n\n// Produces GLSL code that computes strides.\nfunction symbolicallyComputeStrides(\n    indicesArr: number[], variableName: string): string[] {\n  const numCoords = indicesArr.length;\n  const shape = indicesArr.map(d => `${variableName}[${d}]`);\n  const strides = new Array(numCoords - 1);\n  strides[numCoords - 2] = shape[numCoords - 1];\n  for (let i = numCoords - 3; i >= 0; --i) {\n    strides[i] = `(${strides[i + 1]} * ${shape[i + 1]})`;\n  }\n\n  return strides;\n}\n\nexport function getLogicalCoordinatesFromFlatIndexByUniform(\n    coords: string[], variableName: string, index = 'index'): string {\n  const indicesArray = coords.map((_, i) => i);\n  const strides = symbolicallyComputeStrides(indicesArray, variableName);\n  return strides\n      .map((_, i) => {\n        const line1 = `int ${coords[i]} = ${index} / ${strides[i]}`;\n        const line2 = i === strides.length - 1 ?\n            `int ${coords[i + 1]} = ${index} - ${coords[i]} * ${strides[i]}` :\n            `index -= ${coords[i]} * ${strides[i]}`;\n        return `${line1}; ${line2};`;\n      })\n      .join('');\n}\n\nfunction buildVec(x: string[]): string {\n  if (x.length === 1) {\n    return `${x[0]}`;\n  }\n  return `vec${x.length}(${x.join(',')})`;\n}\n\n/**\n * Produces GLSL code that computes the dot product of the input x and y\n * vectors. Handles splitting inputs into increments of vec4s when necessary.\n */\nexport function dotify(x: string[], y: string[]): string {\n  if (x.length !== y.length) {\n    throw new Error(\n        `Vectors to be dotted must be of the same length -` +\n        `got ${x.length} and ${y.length}`);\n  }\n\n  const slices: string[] = [];\n  const nearestVec4 = Math.floor(x.length / 4);\n  const nearestVec4Remainder = x.length % 4;\n\n  for (let i = 0; i < nearestVec4; i++) {\n    const xSlice = x.slice(i * 4, i * 4 + 4);\n    const ySlice = y.slice(i * 4, i * 4 + 4);\n    slices.push(`${buildVec(xSlice)}, ${buildVec(ySlice)}`);\n  }\n\n  if (nearestVec4Remainder !== 0) {\n    let xSlice = x.slice(nearestVec4 * 4);\n    let ySlice = y.slice(nearestVec4 * 4);\n    if (xSlice.length === 1) {\n      xSlice = xSlice.map(d => `float(${d})`);\n      ySlice = ySlice.map(d => `float(${d})`);\n    }\n    slices.push(`${buildVec(xSlice)}, ${buildVec(ySlice)}`);\n  }\n\n  return slices.map((d, i) => `dot(${d})`).join('+');\n}\n\n/**\n * Produces GLSL that computes the flat index from 3D coordinates.\n */\nexport function getFlatIndexFrom3D(shape: [number, number, number]): string {\n  const strides = util.computeStrides(shape).map(d => d.toString());\n\n  return `\n  int getFlatIndex(ivec3 coords) {\n    return coords.x * ${strides[0]} + coords.y * ${strides[1]} + coords.z;\n  }\n`;\n}\n\nexport function getFlatIndexFrom3DOutput(): string {\n  return `\n  int getFlatIndex(ivec3 coords) {\n    return coords.x * outShapeStrides[0] + coords.y * outShapeStrides[1] + coords.z;\n  }\n`;\n}\n\nexport const ENCODE_FLOAT_SNIPPET = `\n  const float FLOAT_MAX = 1.70141184e38;\n  const float FLOAT_MIN = 1.17549435e-38;\n\n  lowp vec4 encode_float(highp float v) {\n    if (isnan(v)) {\n      return vec4(255, 255, 255, 255);\n    }\n\n    highp float av = abs(v);\n\n    if(av < FLOAT_MIN) {\n      return vec4(0.0, 0.0, 0.0, 0.0);\n    } else if(v > FLOAT_MAX) {\n      return vec4(0.0, 0.0, 128.0, 127.0) / 255.0;\n    } else if(v < -FLOAT_MAX) {\n      return vec4(0.0, 0.0,  128.0, 255.0) / 255.0;\n    }\n\n    highp vec4 c = vec4(0,0,0,0);\n\n    highp float e = floor(log2(av));\n    highp float m = exp2(fract(log2(av))) - 1.0;\n\n    c[2] = floor(128.0 * m);\n    m -= c[2] / 128.0;\n    c[1] = floor(32768.0 * m);\n    m -= c[1] / 32768.0;\n    c[0] = floor(8388608.0 * m);\n\n    highp float ebias = e + 127.0;\n    c[3] = floor(ebias / 2.0);\n    ebias -= c[3] * 2.0;\n    c[2] += floor(ebias) * 128.0;\n\n    c[3] += 128.0 * step(0.0, -v);\n\n    return c / 255.0;\n  }\n`;\n"]}