source: trip-planner-front/node_modules/@angular/compiler/esm2015/src/i18n/big_integer.js

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1/**
2 * @license
3 * Copyright Google LLC All Rights Reserved.
4 *
5 * Use of this source code is governed by an MIT-style license that can be
6 * found in the LICENSE file at https://angular.io/license
7 */
8/**
9 * Represents a big integer using a buffer of its individual digits, with the least significant
10 * digit stored at the beginning of the array (little endian).
11 *
12 * For performance reasons, each instance is mutable. The addition operation can be done in-place
13 * to reduce memory pressure of allocation for the digits array.
14 */
15export class BigInteger {
16 /**
17 * Creates a big integer using its individual digits in little endian storage.
18 */
19 constructor(digits) {
20 this.digits = digits;
21 }
22 static zero() {
23 return new BigInteger([0]);
24 }
25 static one() {
26 return new BigInteger([1]);
27 }
28 /**
29 * Creates a clone of this instance.
30 */
31 clone() {
32 return new BigInteger(this.digits.slice());
33 }
34 /**
35 * Returns a new big integer with the sum of `this` and `other` as its value. This does not mutate
36 * `this` but instead returns a new instance, unlike `addToSelf`.
37 */
38 add(other) {
39 const result = this.clone();
40 result.addToSelf(other);
41 return result;
42 }
43 /**
44 * Adds `other` to the instance itself, thereby mutating its value.
45 */
46 addToSelf(other) {
47 const maxNrOfDigits = Math.max(this.digits.length, other.digits.length);
48 let carry = 0;
49 for (let i = 0; i < maxNrOfDigits; i++) {
50 let digitSum = carry;
51 if (i < this.digits.length) {
52 digitSum += this.digits[i];
53 }
54 if (i < other.digits.length) {
55 digitSum += other.digits[i];
56 }
57 if (digitSum >= 10) {
58 this.digits[i] = digitSum - 10;
59 carry = 1;
60 }
61 else {
62 this.digits[i] = digitSum;
63 carry = 0;
64 }
65 }
66 // Apply a remaining carry if needed.
67 if (carry > 0) {
68 this.digits[maxNrOfDigits] = 1;
69 }
70 }
71 /**
72 * Builds the decimal string representation of the big integer. As this is stored in
73 * little endian, the digits are concatenated in reverse order.
74 */
75 toString() {
76 let res = '';
77 for (let i = this.digits.length - 1; i >= 0; i--) {
78 res += this.digits[i];
79 }
80 return res;
81 }
82}
83/**
84 * Represents a big integer which is optimized for multiplication operations, as its power-of-twos
85 * are memoized. See `multiplyBy()` for details on the multiplication algorithm.
86 */
87export class BigIntForMultiplication {
88 constructor(value) {
89 this.powerOfTwos = [value];
90 }
91 /**
92 * Returns the big integer itself.
93 */
94 getValue() {
95 return this.powerOfTwos[0];
96 }
97 /**
98 * Computes the value for `num * b`, where `num` is a JS number and `b` is a big integer. The
99 * value for `b` is represented by a storage model that is optimized for this computation.
100 *
101 * This operation is implemented in N(log2(num)) by continuous halving of the number, where the
102 * least-significant bit (LSB) is tested in each iteration. If the bit is set, the bit's index is
103 * used as exponent into the power-of-two multiplication of `b`.
104 *
105 * As an example, consider the multiplication num=42, b=1337. In binary 42 is 0b00101010 and the
106 * algorithm unrolls into the following iterations:
107 *
108 * Iteration | num | LSB | b * 2^iter | Add? | product
109 * -----------|------------|------|------------|------|--------
110 * 0 | 0b00101010 | 0 | 1337 | No | 0
111 * 1 | 0b00010101 | 1 | 2674 | Yes | 2674
112 * 2 | 0b00001010 | 0 | 5348 | No | 2674
113 * 3 | 0b00000101 | 1 | 10696 | Yes | 13370
114 * 4 | 0b00000010 | 0 | 21392 | No | 13370
115 * 5 | 0b00000001 | 1 | 42784 | Yes | 56154
116 * 6 | 0b00000000 | 0 | 85568 | No | 56154
117 *
118 * The computed product of 56154 is indeed the correct result.
119 *
120 * The `BigIntForMultiplication` representation for a big integer provides memoized access to the
121 * power-of-two values to reduce the workload in computing those values.
122 */
123 multiplyBy(num) {
124 const product = BigInteger.zero();
125 this.multiplyByAndAddTo(num, product);
126 return product;
127 }
128 /**
129 * See `multiplyBy()` for details. This function allows for the computed product to be added
130 * directly to the provided result big integer.
131 */
132 multiplyByAndAddTo(num, result) {
133 for (let exponent = 0; num !== 0; num = num >>> 1, exponent++) {
134 if (num & 1) {
135 const value = this.getMultipliedByPowerOfTwo(exponent);
136 result.addToSelf(value);
137 }
138 }
139 }
140 /**
141 * Computes and memoizes the big integer value for `this.number * 2^exponent`.
142 */
143 getMultipliedByPowerOfTwo(exponent) {
144 // Compute the powers up until the requested exponent, where each value is computed from its
145 // predecessor. This is simple as `this.number * 2^(exponent - 1)` only has to be doubled (i.e.
146 // added to itself) to reach `this.number * 2^exponent`.
147 for (let i = this.powerOfTwos.length; i <= exponent; i++) {
148 const previousPower = this.powerOfTwos[i - 1];
149 this.powerOfTwos[i] = previousPower.add(previousPower);
150 }
151 return this.powerOfTwos[exponent];
152 }
153}
154/**
155 * Represents an exponentiation operation for the provided base, of which exponents are computed and
156 * memoized. The results are represented by a `BigIntForMultiplication` which is tailored for
157 * multiplication operations by memoizing the power-of-twos. This effectively results in a matrix
158 * representation that is lazily computed upon request.
159 */
160export class BigIntExponentiation {
161 constructor(base) {
162 this.base = base;
163 this.exponents = [new BigIntForMultiplication(BigInteger.one())];
164 }
165 /**
166 * Compute the value for `this.base^exponent`, resulting in a big integer that is optimized for
167 * further multiplication operations.
168 */
169 toThePowerOf(exponent) {
170 // Compute the results up until the requested exponent, where every value is computed from its
171 // predecessor. This is because `this.base^(exponent - 1)` only has to be multiplied by `base`
172 // to reach `this.base^exponent`.
173 for (let i = this.exponents.length; i <= exponent; i++) {
174 const value = this.exponents[i - 1].multiplyBy(this.base);
175 this.exponents[i] = new BigIntForMultiplication(value);
176 }
177 return this.exponents[exponent];
178 }
179}
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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"]}
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