fft_gpu.ts

/**
 * @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 {GPGPUProgram} from './gpgpu_math';

export class FFTProgram implements GPGPUProgram {
  variableNames = ['real', 'imag'];
  outputShape: number[];
  userCode: string;

  constructor(
      component: 'real'|'imag', inputShape: [number, number],
      inverse: boolean) {
    const innerDim = inputShape[1];
    this.outputShape = inputShape;

    const exponentMultiplierSnippet =
        inverse ? `2.0 * ${Math.PI}` : `-2.0 * ${Math.PI}`;
    const resultDenominator = inverse ? `${innerDim}.0` : '1.0';

    let opString: string;
    if (component === 'real') {
      opString = 'return real * expR - imag * expI;';
    } else if (component === 'imag') {
      opString = 'return real * expI + imag * expR;';
    } else {
      throw new Error(
          `FFT component must be either "real" or "imag", got ${component}.`);
    }

    this.userCode = `
      const float exponentMultiplier = ${exponentMultiplierSnippet};

      float unaryOpComplex(float real, float expR, float imag, float expI) {
        ${opString}
      }

      float mulMatDFT(int batch, int index) {
        float indexRatio = float(index) / float(${innerDim});
        float exponentMultiplierTimesIndexRatio =
            exponentMultiplier * indexRatio;

        float result = 0.0;

        for (int i = 0; i < ${innerDim}; i++) {
          // x = (-2|2 * PI / N) * index * i;
          float x = exponentMultiplierTimesIndexRatio * float(i);
          float expR = cos(x);
          float expI = sin(x);
          float real = getReal(batch, i);
          float imag = getImag(batch, i);

          result +=
              unaryOpComplex(real, expR, imag, expI) / ${resultDenominator};
        }

        return result;
      }

      void main() {
        ivec2 coords = getOutputCoords();
        setOutput(mulMatDFT(coords[0], coords[1]));
      }
    `;
  }
}