@angular/compiler/esm2020/src/i18n/big_integer.mjs

/**
 * @license
 * Copyright Google LLC All Rights Reserved.
 *
 * Use of this source code is governed by an MIT-style license that can be
 * found in the LICENSE file at https://angular.io/license
 */
/**
 * Represents a big integer using a buffer of its individual digits, with the least significant
 * digit stored at the beginning of the array (little endian).
 *
 * For performance reasons, each instance is mutable. The addition operation can be done in-place
 * to reduce memory pressure of allocation for the digits array.
 */
export class BigInteger {
    /**
     * Creates a big integer using its individual digits in little endian storage.
     */
    constructor(digits) {
        this.digits = digits;
    }
    static zero() {
        return new BigInteger([0]);
    }
    static one() {
        return new BigInteger([1]);
    }
    /**
     * Creates a clone of this instance.
     */
    clone() {
        return new BigInteger(this.digits.slice());
    }
    /**
     * Returns a new big integer with the sum of `this` and `other` as its value. This does not mutate
     * `this` but instead returns a new instance, unlike `addToSelf`.
     */
    add(other) {
        const result = this.clone();
        result.addToSelf(other);
        return result;
    }
    /**
     * Adds `other` to the instance itself, thereby mutating its value.
     */
    addToSelf(other) {
        const maxNrOfDigits = Math.max(this.digits.length, other.digits.length);
        let carry = 0;
        for (let i = 0; i < maxNrOfDigits; i++) {
            let digitSum = carry;
            if (i < this.digits.length) {
                digitSum += this.digits[i];
            }
            if (i < other.digits.length) {
                digitSum += other.digits[i];
            }
            if (digitSum >= 10) {
                this.digits[i] = digitSum - 10;
                carry = 1;
            }
            else {
                this.digits[i] = digitSum;
                carry = 0;
            }
        }
        // Apply a remaining carry if needed.
        if (carry > 0) {
            this.digits[maxNrOfDigits] = 1;
        }
    }
    /**
     * Builds the decimal string representation of the big integer. As this is stored in
     * little endian, the digits are concatenated in reverse order.
     */
    toString() {
        let res = '';
        for (let i = this.digits.length - 1; i >= 0; i--) {
            res += this.digits[i];
        }
        return res;
    }
}
/**
 * Represents a big integer which is optimized for multiplication operations, as its power-of-twos
 * are memoized. See `multiplyBy()` for details on the multiplication algorithm.
 */
export class BigIntForMultiplication {
    constructor(value) {
        this.powerOfTwos = [value];
    }
    /**
     * Returns the big integer itself.
     */
    getValue() {
        return this.powerOfTwos[0];
    }
    /**
     * Computes the value for `num * b`, where `num` is a JS number and `b` is a big integer. The
     * value for `b` is represented by a storage model that is optimized for this computation.
     *
     * This operation is implemented in N(log2(num)) by continuous halving of the number, where the
     * least-significant bit (LSB) is tested in each iteration. If the bit is set, the bit's index is
     * used as exponent into the power-of-two multiplication of `b`.
     *
     * As an example, consider the multiplication num=42, b=1337. In binary 42 is 0b00101010 and the
     * algorithm unrolls into the following iterations:
     *
     *  Iteration | num        | LSB  | b * 2^iter | Add? | product
     * -----------|------------|------|------------|------|--------
     *  0         | 0b00101010 | 0    | 1337       | No   | 0
     *  1         | 0b00010101 | 1    | 2674       | Yes  | 2674
     *  2         | 0b00001010 | 0    | 5348       | No   | 2674
     *  3         | 0b00000101 | 1    | 10696      | Yes  | 13370
     *  4         | 0b00000010 | 0    | 21392      | No   | 13370
     *  5         | 0b00000001 | 1    | 42784      | Yes  | 56154
     *  6         | 0b00000000 | 0    | 85568      | No   | 56154
     *
     * The computed product of 56154 is indeed the correct result.
     *
     * The `BigIntForMultiplication` representation for a big integer provides memoized access to the
     * power-of-two values to reduce the workload in computing those values.
     */
    multiplyBy(num) {
        const product = BigInteger.zero();
        this.multiplyByAndAddTo(num, product);
        return product;
    }
    /**
     * See `multiplyBy()` for details. This function allows for the computed product to be added
     * directly to the provided result big integer.
     */
    multiplyByAndAddTo(num, result) {
        for (let exponent = 0; num !== 0; num = num >>> 1, exponent++) {
            if (num & 1) {
                const value = this.getMultipliedByPowerOfTwo(exponent);
                result.addToSelf(value);
            }
        }
    }
    /**
     * Computes and memoizes the big integer value for `this.number * 2^exponent`.
     */
    getMultipliedByPowerOfTwo(exponent) {
        // Compute the powers up until the requested exponent, where each value is computed from its
        // predecessor. This is simple as `this.number * 2^(exponent - 1)` only has to be doubled (i.e.
        // added to itself) to reach `this.number * 2^exponent`.
        for (let i = this.powerOfTwos.length; i <= exponent; i++) {
            const previousPower = this.powerOfTwos[i - 1];
            this.powerOfTwos[i] = previousPower.add(previousPower);
        }
        return this.powerOfTwos[exponent];
    }
}
/**
 * Represents an exponentiation operation for the provided base, of which exponents are computed and
 * memoized. The results are represented by a `BigIntForMultiplication` which is tailored for
 * multiplication operations by memoizing the power-of-twos. This effectively results in a matrix
 * representation that is lazily computed upon request.
 */
export class BigIntExponentiation {
    constructor(base) {
        this.base = base;
        this.exponents = [new BigIntForMultiplication(BigInteger.one())];
    }
    /**
     * Compute the value for `this.base^exponent`, resulting in a big integer that is optimized for
     * further multiplication operations.
     */
    toThePowerOf(exponent) {
        // Compute the results up until the requested exponent, where every value is computed from its
        // predecessor. This is because `this.base^(exponent - 1)` only has to be multiplied by `base`
        // to reach `this.base^exponent`.
        for (let i = this.exponents.length; i <= exponent; i++) {
            const value = this.exponents[i - 1].multiplyBy(this.base);
            this.exponents[i] = new BigIntForMultiplication(value);
        }
        return this.exponents[exponent];
    }
}
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The addition operation can be done in-place\n * to reduce memory pressure of allocation for the digits array.\n */\nexport class BigInteger {\n  static zero(): BigInteger {\n    return new BigInteger([0]);\n  }\n\n  static one(): BigInteger {\n    return new BigInteger([1]);\n  }\n\n  /**\n   * Creates a big integer using its individual digits in little endian storage.\n   */\n  private constructor(private readonly digits: number[]) {}\n\n  /**\n   * Creates a clone of this instance.\n   */\n  clone(): BigInteger {\n    return new BigInteger(this.digits.slice());\n  }\n\n  /**\n   * Returns a new big integer with the sum of `this` and `other` as its value. This does not mutate\n   * `this` but instead returns a new instance, unlike `addToSelf`.\n   */\n  add(other: BigInteger): BigInteger {\n    const result = this.clone();\n    result.addToSelf(other);\n    return result;\n  }\n\n  /**\n   * Adds `other` to the instance itself, thereby mutating its value.\n   */\n  addToSelf(other: BigInteger): void {\n    const maxNrOfDigits = Math.max(this.digits.length, other.digits.length);\n    let carry = 0;\n    for (let i = 0; i < maxNrOfDigits; i++) {\n      let digitSum = carry;\n      if (i < this.digits.length) {\n        digitSum += this.digits[i];\n      }\n      if (i < other.digits.length) {\n        digitSum += other.digits[i];\n      }\n\n      if (digitSum >= 10) {\n        this.digits[i] = digitSum - 10;\n        carry = 1;\n      } else {\n        this.digits[i] = digitSum;\n        carry = 0;\n      }\n    }\n\n    // Apply a remaining carry if needed.\n    if (carry > 0) {\n      this.digits[maxNrOfDigits] = 1;\n    }\n  }\n\n  /**\n   * Builds the decimal string representation of the big integer. As this is stored in\n   * little endian, the digits are concatenated in reverse order.\n   */\n  toString(): string {\n    let res = '';\n    for (let i = this.digits.length - 1; i >= 0; i--) {\n      res += this.digits[i];\n    }\n    return res;\n  }\n}\n\n/**\n * Represents a big integer which is optimized for multiplication operations, as its power-of-twos\n * are memoized. See `multiplyBy()` for details on the multiplication algorithm.\n */\nexport class BigIntForMultiplication {\n  /**\n   * Stores all memoized power-of-twos, where each index represents `this.number * 2^index`.\n   */\n  private readonly powerOfTwos: BigInteger[];\n\n  constructor(value: BigInteger) {\n    this.powerOfTwos = [value];\n  }\n\n  /**\n   * Returns the big integer itself.\n   */\n  getValue(): BigInteger {\n    return this.powerOfTwos[0];\n  }\n\n  /**\n   * Computes the value for `num * b`, where `num` is a JS number and `b` is a big integer. The\n   * value for `b` is represented by a storage model that is optimized for this computation.\n   *\n   * This operation is implemented in N(log2(num)) by continuous halving of the number, where the\n   * least-significant bit (LSB) is tested in each iteration. If the bit is set, the bit's index is\n   * used as exponent into the power-of-two multiplication of `b`.\n   *\n   * As an example, consider the multiplication num=42, b=1337. In binary 42 is 0b00101010 and the\n   * algorithm unrolls into the following iterations:\n   *\n   *  Iteration | num        | LSB  | b * 2^iter | Add? | product\n   * -----------|------------|------|------------|------|--------\n   *  0         | 0b00101010 | 0    | 1337       | No   | 0\n   *  1         | 0b00010101 | 1    | 2674       | Yes  | 2674\n   *  2         | 0b00001010 | 0    | 5348       | No   | 2674\n   *  3         | 0b00000101 | 1    | 10696      | Yes  | 13370\n   *  4         | 0b00000010 | 0    | 21392      | No   | 13370\n   *  5         | 0b00000001 | 1    | 42784      | Yes  | 56154\n   *  6         | 0b00000000 | 0    | 85568      | No   | 56154\n   *\n   * The computed product of 56154 is indeed the correct result.\n   *\n   * The `BigIntForMultiplication` representation for a big integer provides memoized access to the\n   * power-of-two values to reduce the workload in computing those values.\n   */\n  multiplyBy(num: number): BigInteger {\n    const product = BigInteger.zero();\n    this.multiplyByAndAddTo(num, product);\n    return product;\n  }\n\n  /**\n   * See `multiplyBy()` for details. This function allows for the computed product to be added\n   * directly to the provided result big integer.\n   */\n  multiplyByAndAddTo(num: number, result: BigInteger): void {\n    for (let exponent = 0; num !== 0; num = num >>> 1, exponent++) {\n      if (num & 1) {\n        const value = this.getMultipliedByPowerOfTwo(exponent);\n        result.addToSelf(value);\n      }\n    }\n  }\n\n  /**\n   * Computes and memoizes the big integer value for `this.number * 2^exponent`.\n   */\n  private getMultipliedByPowerOfTwo(exponent: number): BigInteger {\n    // Compute the powers up until the requested exponent, where each value is computed from its\n    // predecessor. This is simple as `this.number * 2^(exponent - 1)` only has to be doubled (i.e.\n    // added to itself) to reach `this.number * 2^exponent`.\n    for (let i = this.powerOfTwos.length; i <= exponent; i++) {\n      const previousPower = this.powerOfTwos[i - 1];\n      this.powerOfTwos[i] = previousPower.add(previousPower);\n    }\n    return this.powerOfTwos[exponent];\n  }\n}\n\n/**\n * Represents an exponentiation operation for the provided base, of which exponents are computed and\n * memoized. The results are represented by a `BigIntForMultiplication` which is tailored for\n * multiplication operations by memoizing the power-of-twos. This effectively results in a matrix\n * representation that is lazily computed upon request.\n */\nexport class BigIntExponentiation {\n  private readonly exponents = [new BigIntForMultiplication(BigInteger.one())];\n\n  constructor(private readonly base: number) {}\n\n  /**\n   * Compute the value for `this.base^exponent`, resulting in a big integer that is optimized for\n   * further multiplication operations.\n   */\n  toThePowerOf(exponent: number): BigIntForMultiplication {\n    // Compute the results up until the requested exponent, where every value is computed from its\n    // predecessor. This is because `this.base^(exponent - 1)` only has to be multiplied by `base`\n    // to reach `this.base^exponent`.\n    for (let i = this.exponents.length; i <= exponent; i++) {\n      const value = this.exponents[i - 1].multiplyBy(this.base);\n      this.exponents[i] = new BigIntForMultiplication(value);\n    }\n    return this.exponents[exponent];\n  }\n}\n"]}