gx

chenyc

2025-06-12 7b72ac13a83764a662159d4a49b7fffb90476ecb

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/**
 * @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.
 * =============================================================================
 */
export class FFTProgram {
    constructor(component, inputShape, inverse) {
        this.variableNames = ['real', 'imag'];
        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;
        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]));
      }
    `;
    }
}
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