/**
 * @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.
 * =============================================================================
 */
/**
 * Merges real and imaginary Float32Arrays into a single complex Float32Array.
 *
 * The memory layout is interleaved as follows:
 * real: [r0, r1, r2]
 * imag: [i0, i1, i2]
 * complex: [r0, i0, r1, i1, r2, i2]
 *
 * This is the inverse of splitRealAndImagArrays.
 *
 * @param real The real values of the complex tensor values.
 * @param imag The imag values of the complex tensor values.
 * @returns A complex tensor as a Float32Array with merged values.
 */
export function mergeRealAndImagArrays(real, imag) {
    if (real.length !== imag.length) {
        throw new Error(`Cannot merge real and imag arrays of different lengths. real:` +
            `${real.length}, imag: ${imag.length}.`);
    }
    const result = new Float32Array(real.length * 2);
    for (let i = 0; i < result.length; i += 2) {
        result[i] = real[i / 2];
        result[i + 1] = imag[i / 2];
    }
    return result;
}
/**
 * Splits a complex Float32Array into real and imag parts.
 *
 * The memory layout is interleaved as follows:
 * complex: [r0, i0, r1, i1, r2, i2]
 * real: [r0, r1, r2]
 * imag: [i0, i1, i2]
 *
 * This is the inverse of mergeRealAndImagArrays.
 *
 * @param complex The complex tensor values.
 * @returns An object with real and imag Float32Array components of the complex
 *     tensor.
 */
export function splitRealAndImagArrays(complex) {
    const real = new Float32Array(complex.length / 2);
    const imag = new Float32Array(complex.length / 2);
    for (let i = 0; i < complex.length; i += 2) {
        real[i / 2] = complex[i];
        imag[i / 2] = complex[i + 1];
    }
    return { real, imag };
}
/**
 * Extracts even indexed complex values in the given array.
 * @param complex The complex tensor values
 */
export function complexWithEvenIndex(complex) {
    const len = Math.ceil(complex.length / 4);
    const real = new Float32Array(len);
    const imag = new Float32Array(len);
    for (let i = 0; i < complex.length; i += 4) {
        real[Math.floor(i / 4)] = complex[i];
        imag[Math.floor(i / 4)] = complex[i + 1];
    }
    return { real, imag };
}
/**
 * Extracts odd indexed comple values in the given array.
 * @param complex The complex tensor values
 */
export function complexWithOddIndex(complex) {
    const len = Math.floor(complex.length / 4);
    const real = new Float32Array(len);
    const imag = new Float32Array(len);
    for (let i = 2; i < complex.length; i += 4) {
        real[Math.floor(i / 4)] = complex[i];
        imag[Math.floor(i / 4)] = complex[i + 1];
    }
    return { real, imag };
}
/**
 * Get the map representing a complex value in the given array.
 * @param complex The complex tensor values.
 * @param index An index of the target complex value.
 */
export function getComplexWithIndex(complex, index) {
    const real = complex[index * 2];
    const imag = complex[index * 2 + 1];
    return { real, imag };
}
/**
 * Insert a given complex value into the TypedArray.
 * @param data The array in which the complex value is inserted.
 * @param c The complex value to be inserted.
 * @param index An index of the target complex value.
 */
export function assignToTypedArray(data, real, imag, index) {
    data[index * 2] = real;
    data[index * 2 + 1] = imag;
}
/**
 * Make the list of exponent terms used by FFT.
 */
export function exponents(n, inverse) {
    const real = new Float32Array(n / 2);
    const imag = new Float32Array(n / 2);
    for (let i = 0; i < Math.ceil(n / 2); i++) {
        const x = (inverse ? 2 : -2) * Math.PI * (i / n);
        real[i] = Math.cos(x);
        imag[i] = Math.sin(x);
    }
    return { real, imag };
}
/**
 * Make the exponent term used by FFT.
 */
export function exponent(k, n, inverse) {
    const x = (inverse ? 2 : -2) * Math.PI * (k / n);
    const real = Math.cos(x);
    const imag = Math.sin(x);
    return { real, imag };
}
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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 {TypedArray} from '../types';\n/**\n * Merges real and imaginary Float32Arrays into a single complex Float32Array.\n *\n * The memory layout is interleaved as follows:\n * real: [r0, r1, r2]\n * imag: [i0, i1, i2]\n * complex: [r0, i0, r1, i1, r2, i2]\n *\n * This is the inverse of splitRealAndImagArrays.\n *\n * @param real The real values of the complex tensor values.\n * @param imag The imag values of the complex tensor values.\n * @returns A complex tensor as a Float32Array with merged values.\n */\nexport function mergeRealAndImagArrays(\n    real: Float32Array, imag: Float32Array): Float32Array {\n  if (real.length !== imag.length) {\n    throw new Error(\n        `Cannot merge real and imag arrays of different lengths. real:` +\n        `${real.length}, imag: ${imag.length}.`);\n  }\n  const result = new Float32Array(real.length * 2);\n  for (let i = 0; i < result.length; i += 2) {\n    result[i] = real[i / 2];\n    result[i + 1] = imag[i / 2];\n  }\n  return result;\n}\n\n/**\n * Splits a complex Float32Array into real and imag parts.\n *\n * The memory layout is interleaved as follows:\n * complex: [r0, i0, r1, i1, r2, i2]\n * real: [r0, r1, r2]\n * imag: [i0, i1, i2]\n *\n * This is the inverse of mergeRealAndImagArrays.\n *\n * @param complex The complex tensor values.\n * @returns An object with real and imag Float32Array components of the complex\n *     tensor.\n */\nexport function splitRealAndImagArrays(complex: Float32Array):\n    {real: Float32Array, imag: Float32Array} {\n  const real = new Float32Array(complex.length / 2);\n  const imag = new Float32Array(complex.length / 2);\n  for (let i = 0; i < complex.length; i += 2) {\n    real[i / 2] = complex[i];\n    imag[i / 2] = complex[i + 1];\n  }\n  return {real, imag};\n}\n\n/**\n * Extracts even indexed complex values in the given array.\n * @param complex The complex tensor values\n */\nexport function complexWithEvenIndex(complex: Float32Array):\n    {real: Float32Array, imag: Float32Array} {\n  const len = Math.ceil(complex.length / 4);\n  const real = new Float32Array(len);\n  const imag = new Float32Array(len);\n  for (let i = 0; i < complex.length; i += 4) {\n    real[Math.floor(i / 4)] = complex[i];\n    imag[Math.floor(i / 4)] = complex[i + 1];\n  }\n  return {real, imag};\n}\n\n/**\n * Extracts odd indexed comple values in the given array.\n * @param complex The complex tensor values\n */\nexport function complexWithOddIndex(complex: Float32Array):\n    {real: Float32Array, imag: Float32Array} {\n  const len = Math.floor(complex.length / 4);\n  const real = new Float32Array(len);\n  const imag = new Float32Array(len);\n  for (let i = 2; i < complex.length; i += 4) {\n    real[Math.floor(i / 4)] = complex[i];\n    imag[Math.floor(i / 4)] = complex[i + 1];\n  }\n  return {real, imag};\n}\n\n/**\n * Get the map representing a complex value in the given array.\n * @param complex The complex tensor values.\n * @param index An index of the target complex value.\n */\nexport function getComplexWithIndex(\n    complex: Float32Array, index: number): {real: number, imag: number} {\n  const real = complex[index * 2];\n  const imag = complex[index * 2 + 1];\n  return {real, imag};\n}\n\n/**\n * Insert a given complex value into the TypedArray.\n * @param data The array in which the complex value is inserted.\n * @param c The complex value to be inserted.\n * @param index An index of the target complex value.\n */\nexport function assignToTypedArray(\n    data: TypedArray, real: number, imag: number, index: number) {\n  data[index * 2] = real;\n  data[index * 2 + 1] = imag;\n}\n\n/**\n * Make the list of exponent terms used by FFT.\n */\nexport function exponents(\n    n: number, inverse: boolean): {real: Float32Array, imag: Float32Array} {\n  const real = new Float32Array(n / 2);\n  const imag = new Float32Array(n / 2);\n  for (let i = 0; i < Math.ceil(n / 2); i++) {\n    const x = (inverse ? 2 : -2) * Math.PI * (i / n);\n    real[i] = Math.cos(x);\n    imag[i] = Math.sin(x);\n  }\n  return {real, imag};\n}\n\n/**\n * Make the exponent term used by FFT.\n */\nexport function exponent(\n    k: number, n: number, inverse: boolean): {real: number, imag: number} {\n  const x = (inverse ? 2 : -2) * Math.PI * (k / n);\n  const real = Math.cos(x);\n  const imag = Math.sin(x);\n  return {real, imag};\n}\n"]}