removed bigint-mod-arith dependency to solve issues with webpack in Angular 9

build/build.docs.js

@@ -49,19 +49,13 @@ if (repoProvider && repoProvider === 'github') {
   template = template.replace(/\{\{GITHUB_ACTIONS_BADGES\}\}/g, workflowBadget + '\n' + coverallsBadge)
 }
 
-const input1 = path.join(rootDir, 'node_modules', 'bigint-mod-arith', pkgJson.browser) // bigint-mod-arith
+const input = path.join(rootDir, pkgJson.browser)
-const input2 = path.join(rootDir, pkgJson.browser) // this module
-
 // Let us replace bigint literals by standard numbers to avoid issues with bigint
-const source1 = fs.readFileSync(input1, { encoding: 'UTF-8' })
+const source = fs.readFileSync(input, { encoding: 'UTF-8' }).replace(/([0-9]+)n([,\s\n)])/g, '$1$2')
-const source2 = fs.readFileSync(input2, { encoding: 'UTF-8' })
-const source = (source1 + '\n' + source2)
-  .replace(/^.*bigint-mod-arith.*$/mg, '') // remove import/export of bigint-mod-arith
-  .replace(/([0-9]+)n([,\s\n)])/g, '$1$2') // replace bigint literals by standard numbers to avoid issues with bigint
 
 jsdoc2md.clear().then(() => {
   const data = jsdoc2md.getTemplateDataSync({ source })
-  data.sort((fn1, fn2) => (fn1.id > fn2.id) ? 1 : -1)
+  data.sort((fn1, fn2) => (fn1.id > fn2.id) ? 1 : -1) // sort functions alphabetically
   const options = {
     data,
     template,

build/rollup.config.js

@@ -36,8 +36,7 @@ module.exports = [
       replace({
         'process.browser': true
       })
-    ],
+    ]
-    external: ['bigint-mod-arith']
   },
   { // Browser bundles
     input: input,
@@ -74,7 +73,6 @@ module.exports = [
       replace({
         'process.browser': false
       })
-    ],
+    ]
-    external: ['bigint-mod-arith']
   }
 ]

lib/index.browser.mod.js

@@ -1,5 +1,217 @@
-import { bitLength, eGcd, modInv, modPow, toZn } from 'bigint-mod-arith'
+/**
-export { abs, bitLength, eGcd, gcd, lcm, max, min, modInv, modPow, toZn } from 'bigint-mod-arith'
+ * Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
+ *
+ * @param {number|bigint} a
+ *
+ * @returns {bigint} the absolute value of a
+ */
+function abs (a) {
+  a = BigInt(a)
+  return (a >= 0n) ? a : -a
+}
+
+/**
+ * Returns the bitlength of a number
+ *
+ * @param {number|bigint} a
+ * @returns {number} - the bit length
+ */
+function bitLength (a) {
+  a = BigInt(a)
+  if (a === 1n) { return 1 }
+  let bits = 1
+  do {
+    bits++
+  } while ((a >>= 1n) > 1n)
+  return bits
+}
+
+/**
+ * @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
+ * @property {bigint} g
+ * @property {bigint} x
+ * @property {bigint} y
+ */
+/**
+ * An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
+ * Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
+ */
+function eGcd (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  if (a <= 0n | b <= 0n) throw new RangeError('a and b MUST be > 0') // a and b MUST be positive
+
+  let x = 0n
+  let y = 1n
+  let u = 1n
+  let v = 0n
+
+  while (a !== 0n) {
+    const q = b / a
+    const r = b % a
+    const m = x - (u * q)
+    const n = y - (v * q)
+    b = a
+    a = r
+    x = u
+    y = v
+    u = m
+    v = n
+  }
+  return {
+    g: b,
+    x: x,
+    y: y
+  }
+}
+
+/**
+ * Greatest-common divisor of two integers based on the iterative binary algorithm.
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} The greatest common divisor of a and b
+ */
+function gcd (a, b) {
+  a = abs(a)
+  b = abs(b)
+  if (a === 0n) { return b } else if (b === 0n) { return a }
+
+  let shift = 0n
+  while (!((a | b) & 1n)) {
+    a >>= 1n
+    b >>= 1n
+    shift++
+  }
+  while (!(a & 1n)) a >>= 1n
+  do {
+    while (!(b & 1n)) b >>= 1n
+    if (a > b) {
+      const x = a
+      a = b
+      b = x
+    }
+    b -= a
+  } while (b)
+
+  // rescale
+  return a << shift
+}
+
+/**
+ * The least common multiple computed as abs(a*b)/gcd(a,b)
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} The least common multiple of a and b
+ */
+function lcm (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  if (a === 0n && b === 0n) return BigInt(0)
+  return abs(a * b) / gcd(a, b)
+}
+
+/**
+ * Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<=b
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} maximum of numbers a and b
+ */
+function max (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  return (a >= b) ? a : b
+}
+
+/**
+ * Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<=b
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} minimum of numbers a and b
+ */
+function min (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  return (a >= b) ? b : a
+}
+
+/**
+ * Modular inverse.
+ *
+ * @param {number|bigint} a The number to find an inverse for
+ * @param {number|bigint} n The modulo
+ *
+ * @returns {bigint|NaN} the inverse modulo n or NaN if it does not exist
+ */
+function modInv (a, n) {
+  try {
+    const egcd = eGcd(toZn(a, n), n)
+    if (egcd.g !== 1n) {
+      return NaN // modular inverse does not exist
+    } else {
+      return toZn(egcd.x, n)
+    }
+  } catch (error) {
+    return NaN
+  }
+}
+
+/**
+ * Modular exponentiation b**e mod n. Currently using the right-to-left binary method
+ *
+ * @param {number|bigint} b base
+ * @param {number|bigint} e exponent
+ * @param {number|bigint} n modulo
+ *
+ * @returns {bigint} b**e mod n
+ */
+function modPow (b, e, n) {
+  n = BigInt(n)
+  if (n === 0n) { return NaN } else if (n === 1n) { return BigInt(0) }
+
+  b = toZn(b, n)
+
+  e = BigInt(e)
+  if (e < 0n) {
+    return modInv(modPow(b, abs(e), n), n)
+  }
+
+  let r = 1n
+  while (e > 0) {
+    if ((e % 2n) === 1n) {
+      r = (r * b) % n
+    }
+    e = e / 2n
+    b = b ** 2n % n
+  }
+  return r
+}
+
+/**
+ * Finds the smallest positive element that is congruent to a in modulo n
+ * @param {number|bigint} a An integer
+ * @param {number|bigint} n The modulo
+ *
+ * @returns {bigint} The smallest positive representation of a in modulo n
+ */
+function toZn (a, n) {
+  n = BigInt(n)
+  if (n <= 0) { return NaN }
+
+  a = BigInt(a) % n
+  return (a < 0) ? a + n : a
+}
 
 /**
  * The test first tries if any of the first 250 small primes are a factor of the input number and then passes several
@@ -622,4 +834,4 @@ let _useWorkers = false // The following is just to check whether we can use wor
   if (self.Worker) _useWorkers = true
 }
 
-export { isProbablyPrime, prime, primeSync, randBetween, randBits, randBitsSync, randBytes, randBytesSync }
+export { abs, bitLength, eGcd, gcd, isProbablyPrime, lcm, max, min, modInv, modPow, prime, primeSync, randBetween, randBits, randBitsSync, randBytes, randBytesSync, toZn }

lib/index.node.js

@@ -1,6 +1,219 @@
 'use strict'
 
-var bigintModArith = require('bigint-mod-arith')
+/**
+ * Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
+ *
+ * @param {number|bigint} a
+ *
+ * @returns {bigint} the absolute value of a
+ */
+function abs (a) {
+  a = BigInt(a)
+  return (a >= 0n) ? a : -a
+}
+
+/**
+ * Returns the bitlength of a number
+ *
+ * @param {number|bigint} a
+ * @returns {number} - the bit length
+ */
+function bitLength (a) {
+  a = BigInt(a)
+  if (a === 1n) { return 1 }
+  let bits = 1
+  do {
+    bits++
+  } while ((a >>= 1n) > 1n)
+  return bits
+}
+
+/**
+ * @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
+ * @property {bigint} g
+ * @property {bigint} x
+ * @property {bigint} y
+ */
+/**
+ * An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
+ * Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
+ */
+function eGcd (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  if (a <= 0n | b <= 0n) throw new RangeError('a and b MUST be > 0') // a and b MUST be positive
+
+  let x = 0n
+  let y = 1n
+  let u = 1n
+  let v = 0n
+
+  while (a !== 0n) {
+    const q = b / a
+    const r = b % a
+    const m = x - (u * q)
+    const n = y - (v * q)
+    b = a
+    a = r
+    x = u
+    y = v
+    u = m
+    v = n
+  }
+  return {
+    g: b,
+    x: x,
+    y: y
+  }
+}
+
+/**
+ * Greatest-common divisor of two integers based on the iterative binary algorithm.
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} The greatest common divisor of a and b
+ */
+function gcd (a, b) {
+  a = abs(a)
+  b = abs(b)
+  if (a === 0n) { return b } else if (b === 0n) { return a }
+
+  let shift = 0n
+  while (!((a | b) & 1n)) {
+    a >>= 1n
+    b >>= 1n
+    shift++
+  }
+  while (!(a & 1n)) a >>= 1n
+  do {
+    while (!(b & 1n)) b >>= 1n
+    if (a > b) {
+      const x = a
+      a = b
+      b = x
+    }
+    b -= a
+  } while (b)
+
+  // rescale
+  return a << shift
+}
+
+/**
+ * The least common multiple computed as abs(a*b)/gcd(a,b)
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} The least common multiple of a and b
+ */
+function lcm (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  if (a === 0n && b === 0n) return BigInt(0)
+  return abs(a * b) / gcd(a, b)
+}
+
+/**
+ * Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<=b
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} maximum of numbers a and b
+ */
+function max (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  return (a >= b) ? a : b
+}
+
+/**
+ * Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<=b
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} minimum of numbers a and b
+ */
+function min (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  return (a >= b) ? b : a
+}
+
+/**
+ * Modular inverse.
+ *
+ * @param {number|bigint} a The number to find an inverse for
+ * @param {number|bigint} n The modulo
+ *
+ * @returns {bigint|NaN} the inverse modulo n or NaN if it does not exist
+ */
+function modInv (a, n) {
+  try {
+    const egcd = eGcd(toZn(a, n), n)
+    if (egcd.g !== 1n) {
+      return NaN // modular inverse does not exist
+    } else {
+      return toZn(egcd.x, n)
+    }
+  } catch (error) {
+    return NaN
+  }
+}
+
+/**
+ * Modular exponentiation b**e mod n. Currently using the right-to-left binary method
+ *
+ * @param {number|bigint} b base
+ * @param {number|bigint} e exponent
+ * @param {number|bigint} n modulo
+ *
+ * @returns {bigint} b**e mod n
+ */
+function modPow (b, e, n) {
+  n = BigInt(n)
+  if (n === 0n) { return NaN } else if (n === 1n) { return BigInt(0) }
+
+  b = toZn(b, n)
+
+  e = BigInt(e)
+  if (e < 0n) {
+    return modInv(modPow(b, abs(e), n), n)
+  }
+
+  let r = 1n
+  while (e > 0) {
+    if ((e % 2n) === 1n) {
+      r = (r * b) % n
+    }
+    e = e / 2n
+    b = b ** 2n % n
+  }
+  return r
+}
+
+/**
+ * Finds the smallest positive element that is congruent to a in modulo n
+ * @param {number|bigint} a An integer
+ * @param {number|bigint} n The modulo
+ *
+ * @returns {bigint} The smallest positive representation of a in modulo n
+ */
+function toZn (a, n) {
+  n = BigInt(n)
+  if (n <= 0) { return NaN }
+
+  a = BigInt(a) % n
+  return (a < 0) ? a + n : a
+}
 
 /**
  * The test first tries if any of the first 250 small primes are a factor of the input number and then passes several
@@ -156,7 +369,7 @@ function primeSync (bitLength, iterations = 16) {
 function randBetween (max, min = 1n) {
   if (max <= 0n || min < 0n || max <= min) throw new RangeError('Arguments MUST be: max > 0 && min >=0 && max > min')
   const interval = max - min
-  const bitLen = bigintModArith.bitLength(interval)
+  const bitLen = bitLength(interval)
   let rnd
   do {
     const buf = randBitsSync(bitLen)
@@ -587,11 +800,11 @@ function _isProbablyPrime (w, iterations = 16) {
 
   do {
     const b = randBetween(d, 2n)
-    let z = bigintModArith.modPow(b, m, w)
+    let z = modPow(b, m, w)
     if (z === 1n || z === d) continue
     let j = 1
     while (j < a) {
-      z = bigintModArith.modPow(z, 2n, w)
+      z = modPow(z, 2n, w)
       if (z === d) break
       if (z === 1n) return false
       j++
@@ -636,17 +849,16 @@ if (_useWorkers) { // node.js with support for workers
   }
 }
 
-exports.abs = bigintModArith.abs
+exports.abs = abs
-exports.bitLength = bigintModArith.bitLength
+exports.bitLength = bitLength
-exports.eGcd = bigintModArith.eGcd
+exports.eGcd = eGcd
-exports.gcd = bigintModArith.gcd
+exports.gcd = gcd
-exports.lcm = bigintModArith.lcm
-exports.max = bigintModArith.max
-exports.min = bigintModArith.min
-exports.modInv = bigintModArith.modInv
-exports.modPow = bigintModArith.modPow
-exports.toZn = bigintModArith.toZn
 exports.isProbablyPrime = isProbablyPrime
+exports.lcm = lcm
+exports.max = max
+exports.min = min
+exports.modInv = modInv
+exports.modPow = modPow
 exports.prime = prime
 exports.primeSync = primeSync
 exports.randBetween = randBetween
@@ -654,3 +866,4 @@ exports.randBits = randBits
 exports.randBitsSync = randBitsSync
 exports.randBytes = randBytes
 exports.randBytesSync = randBytesSync
+exports.toZn = toZn

package-lock.json

@@ -14,19 +14,19 @@
       }
     },
     "@babel/core": {
-      "version": "7.9.0",
+      "version": "7.9.6",
-      "resolved": "https://registry.npmjs.org/@babel/core/-/core-7.9.0.tgz",
+      "resolved": "https://registry.npmjs.org/@babel/core/-/core-7.9.6.tgz",
-      "integrity": "sha512-kWc7L0fw1xwvI0zi8OKVBuxRVefwGOrKSQMvrQ3dW+bIIavBY3/NpXmpjMy7bQnLgwgzWQZ8TlM57YHpHNHz4w==",
+      "integrity": "sha512-nD3deLvbsApbHAHttzIssYqgb883yU/d9roe4RZymBCDaZryMJDbptVpEpeQuRh4BJ+SYI8le9YGxKvFEvl1Wg==",
       "dev": true,
       "requires": {
         "@babel/code-frame": "^7.8.3",
-        "@babel/generator": "^7.9.0",
+        "@babel/generator": "^7.9.6",
         "@babel/helper-module-transforms": "^7.9.0",
-        "@babel/helpers": "^7.9.0",
+        "@babel/helpers": "^7.9.6",
-        "@babel/parser": "^7.9.0",
+        "@babel/parser": "^7.9.6",
         "@babel/template": "^7.8.6",
-        "@babel/traverse": "^7.9.0",
+        "@babel/traverse": "^7.9.6",
-        "@babel/types": "^7.9.0",
+        "@babel/types": "^7.9.6",
         "convert-source-map": "^1.7.0",
         "debug": "^4.1.0",
         "gensync": "^1.0.0-beta.1",
@@ -55,12 +55,12 @@
       }
     },
     "@babel/generator": {
-      "version": "7.9.5",
+      "version": "7.9.6",
-      "resolved": "https://registry.npmjs.org/@babel/generator/-/generator-7.9.5.tgz",
+      "resolved": "https://registry.npmjs.org/@babel/generator/-/generator-7.9.6.tgz",
-      "integrity": "sha512-GbNIxVB3ZJe3tLeDm1HSn2AhuD/mVcyLDpgtLXa5tplmWrJdF/elxB56XNqCuD6szyNkDi6wuoKXln3QeBmCHQ==",
+      "integrity": "sha512-+htwWKJbH2bL72HRluF8zumBxzuX0ZZUFl3JLNyoUjM/Ho8wnVpPXM6aUz8cfKDqQ/h7zHqKt4xzJteUosckqQ==",
       "dev": true,
       "requires": {
-        "@babel/types": "^7.9.5",
+        "@babel/types": "^7.9.6",
         "jsesc": "^2.5.1",
         "lodash": "^4.17.13",
         "source-map": "^0.5.0"
@@ -137,15 +137,15 @@
       }
     },
     "@babel/helper-replace-supers": {
-      "version": "7.8.6",
+      "version": "7.9.6",
-      "resolved": "https://registry.npmjs.org/@babel/helper-replace-supers/-/helper-replace-supers-7.8.6.tgz",
+      "resolved": "https://registry.npmjs.org/@babel/helper-replace-supers/-/helper-replace-supers-7.9.6.tgz",
-      "integrity": "sha512-PeMArdA4Sv/Wf4zXwBKPqVj7n9UF/xg6slNRtZW84FM7JpE1CbG8B612FyM4cxrf4fMAMGO0kR7voy1ForHHFA==",
+      "integrity": "sha512-qX+chbxkbArLyCImk3bWV+jB5gTNU/rsze+JlcF6Nf8tVTigPJSI1o1oBow/9Resa1yehUO9lIipsmu9oG4RzA==",
       "dev": true,
       "requires": {
         "@babel/helper-member-expression-to-functions": "^7.8.3",
         "@babel/helper-optimise-call-expression": "^7.8.3",
-        "@babel/traverse": "^7.8.6",
+        "@babel/traverse": "^7.9.6",
-        "@babel/types": "^7.8.6"
+        "@babel/types": "^7.9.6"
       }
     },
     "@babel/helper-simple-access": {
@@ -174,14 +174,14 @@
       "dev": true
     },
     "@babel/helpers": {
-      "version": "7.9.2",
+      "version": "7.9.6",
-      "resolved": "https://registry.npmjs.org/@babel/helpers/-/helpers-7.9.2.tgz",
+      "resolved": "https://registry.npmjs.org/@babel/helpers/-/helpers-7.9.6.tgz",
-      "integrity": "sha512-JwLvzlXVPjO8eU9c/wF9/zOIN7X6h8DYf7mG4CiFRZRvZNKEF5dQ3H3V+ASkHoIB3mWhatgl5ONhyqHRI6MppA==",
+      "integrity": "sha512-tI4bUbldloLcHWoRUMAj4g1bF313M/o6fBKhIsb3QnGVPwRm9JsNf/gqMkQ7zjqReABiffPV6RWj7hEglID5Iw==",
       "dev": true,
       "requires": {
         "@babel/template": "^7.8.3",
-        "@babel/traverse": "^7.9.0",
+        "@babel/traverse": "^7.9.6",
-        "@babel/types": "^7.9.0"
+        "@babel/types": "^7.9.6"
       }
     },
     "@babel/highlight": {
@@ -196,9 +196,9 @@
       }
     },
     "@babel/parser": {
-      "version": "7.9.4",
+      "version": "7.9.6",
-      "resolved": "https://registry.npmjs.org/@babel/parser/-/parser-7.9.4.tgz",
+      "resolved": "https://registry.npmjs.org/@babel/parser/-/parser-7.9.6.tgz",
-      "integrity": "sha512-bC49otXX6N0/VYhgOMh4gnP26E9xnDZK3TmbNpxYzzz9BQLBosQwfyOe9/cXUU3txYhTzLCbcqd5c8y/OmCjHA==",
+      "integrity": "sha512-AoeIEJn8vt+d/6+PXDRPaksYhnlbMIiejioBZvvMQsOjW/JYK6k/0dKnvvP3EhK5GfMBWDPtrxRtegWdAcdq9Q==",
       "dev": true
     },
     "@babel/template": {
@@ -213,17 +213,17 @@
       }
     },
     "@babel/traverse": {
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-      "integrity": "sha512-76Ynm7OXUG5xhOpblhytE7X58oeNSmC8xnNhjWVo8CksHit0U0kO4hfNbPrrYwowLWFgM2n9L176VNx2QaHmtA==",
+      "integrity": "sha512-wMvqukYgVpQlymbnNbabVZbtM6PN63AzqexpwJL8tbh/mRT9LE5o+ruVduAGL7D6Fpjl+Q+06U5I9Ul82odAhw==",
       "dev": true,
       "requires": {
         "commander": "^2.20.0",
@@ -4475,9 +4448,9 @@
       }
     },
     "tslib": {
-      "version": "1.11.1",
+      "version": "1.11.2",
-      "resolved": "https://registry.npmjs.org/tslib/-/tslib-1.11.1.tgz",
+      "resolved": "https://registry.npmjs.org/tslib/-/tslib-1.11.2.tgz",
-      "integrity": "sha512-aZW88SY8kQbU7gpV19lN24LtXh/yD4ZZg6qieAJDDg+YBsJcSmLGK9QpnUjAKVG/xefmvJGd1WUmfpT/g6AJGA==",
+      "integrity": "sha512-tTSkux6IGPnUGUd1XAZHcpu85MOkIl5zX49pO+jfsie3eP0B6pyhOlLXm3cAC6T7s+euSDDUUV+Acop5WmtkVg==",
       "dev": true
     },
     "type-check": {
@@ -4529,9 +4502,9 @@
       "dev": true
     },
     "uglify-js": {
-      "version": "3.9.1",
+      "version": "3.9.2",
-      "resolved": "https://registry.npmjs.org/uglify-js/-/uglify-js-3.9.1.tgz",
+      "resolved": "https://registry.npmjs.org/uglify-js/-/uglify-js-3.9.2.tgz",
-      "integrity": "sha512-JUPoL1jHsc9fOjVFHdQIhqEEJsQvfKDjlubcCilu8U26uZ73qOg8VsN8O1jbuei44ZPlwL7kmbAdM4tzaUvqnA==",
+      "integrity": "sha512-zGVwKslUAD/EeqOrD1nQaBmXIHl1Vw371we8cvS8I6mYK9rmgX5tv8AAeJdfsQ3Kk5mGax2SVV/AizxdNGhl7Q==",
       "dev": true,
       "optional": true,
       "requires": {

package.json

@@ -65,21 +65,20 @@
   },
   "devDependencies": {
     "@rollup/plugin-commonjs": "^11.1.0",
-    "@rollup/plugin-multi-entry": "^3.0.0",
+    "@rollup/plugin-multi-entry": "^3.0.1",
     "@rollup/plugin-node-resolve": "^7.1.3",
     "@rollup/plugin-replace": "^2.3.2",
     "chai": "^4.2.0",
     "jsdoc-to-markdown": "^5.0.3",
-    "mocha": "^7.1.1",
+    "mocha": "^7.1.2",
     "npm-run-all": "^4.1.5",
     "nyc": "^15.0.1",
-    "rollup": "^2.6.1",
+    "rollup": "^2.9.1",
     "rollup-plugin-terser": "^5.3.0",
-    "standard": "^14.3.3",
+    "standard": "^14.3.4",
     "typescript": "^3.8.3"
   },
   "dependencies": {
-    "@types/node": ">=10.4.0",
+    "@types/node": ">=10.4.0"
-    "bigint-mod-arith": "^2.0.7"
   }
 }

src/js/bigint-mod-arith.js

@@ -0,0 +1,214 @@
+/**
+ * Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
+ *
+ * @param {number|bigint} a
+ *
+ * @returns {bigint} the absolute value of a
+ */
+export function abs (a) {
+  a = BigInt(a)
+  return (a >= 0n) ? a : -a
+}
+
+/**
+ * Returns the bitlength of a number
+ *
+ * @param {number|bigint} a
+ * @returns {number} - the bit length
+ */
+export function bitLength (a) {
+  a = BigInt(a)
+  if (a === 1n) { return 1 }
+  let bits = 1
+  do {
+    bits++
+  } while ((a >>= 1n) > 1n)
+  return bits
+}
+
+/**
+ * @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
+ * @property {bigint} g
+ * @property {bigint} x
+ * @property {bigint} y
+ */
+/**
+ * An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
+ * Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
+ */
+export function eGcd (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  if (a <= 0n | b <= 0n) throw new RangeError('a and b MUST be > 0') // a and b MUST be positive
+
+  let x = 0n
+  let y = 1n
+  let u = 1n
+  let v = 0n
+
+  while (a !== 0n) {
+    const q = b / a
+    const r = b % a
+    const m = x - (u * q)
+    const n = y - (v * q)
+    b = a
+    a = r
+    x = u
+    y = v
+    u = m
+    v = n
+  }
+  return {
+    g: b,
+    x: x,
+    y: y
+  }
+}
+
+/**
+ * Greatest-common divisor of two integers based on the iterative binary algorithm.
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} The greatest common divisor of a and b
+ */
+export function gcd (a, b) {
+  a = abs(a)
+  b = abs(b)
+  if (a === 0n) { return b } else if (b === 0n) { return a }
+
+  let shift = 0n
+  while (!((a | b) & 1n)) {
+    a >>= 1n
+    b >>= 1n
+    shift++
+  }
+  while (!(a & 1n)) a >>= 1n
+  do {
+    while (!(b & 1n)) b >>= 1n
+    if (a > b) {
+      const x = a
+      a = b
+      b = x
+    }
+    b -= a
+  } while (b)
+
+  // rescale
+  return a << shift
+}
+
+/**
+ * The least common multiple computed as abs(a*b)/gcd(a,b)
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} The least common multiple of a and b
+ */
+export function lcm (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  if (a === 0n && b === 0n) return BigInt(0)
+  return abs(a * b) / gcd(a, b)
+}
+
+/**
+ * Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<=b
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} maximum of numbers a and b
+ */
+export function max (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  return (a >= b) ? a : b
+}
+
+/**
+ * Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<=b
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} minimum of numbers a and b
+ */
+export function min (a, b) {
+  a = BigInt(a)
+  b = BigInt(b)
+  return (a >= b) ? b : a
+}
+
+/**
+ * Modular inverse.
+ *
+ * @param {number|bigint} a The number to find an inverse for
+ * @param {number|bigint} n The modulo
+ *
+ * @returns {bigint|NaN} the inverse modulo n or NaN if it does not exist
+ */
+export function modInv (a, n) {
+  try {
+    const egcd = eGcd(toZn(a, n), n)
+    if (egcd.g !== 1n) {
+      return NaN // modular inverse does not exist
+    } else {
+      return toZn(egcd.x, n)
+    }
+  } catch (error) {
+    return NaN
+  }
+}
+
+/**
+ * Modular exponentiation b**e mod n. Currently using the right-to-left binary method
+ *
+ * @param {number|bigint} b base
+ * @param {number|bigint} e exponent
+ * @param {number|bigint} n modulo
+ *
+ * @returns {bigint} b**e mod n
+ */
+export function modPow (b, e, n) {
+  n = BigInt(n)
+  if (n === 0n) { return NaN } else if (n === 1n) { return BigInt(0) }
+
+  b = toZn(b, n)
+
+  e = BigInt(e)
+  if (e < 0n) {
+    return modInv(modPow(b, abs(e), n), n)
+  }
+
+  let r = 1n
+  while (e > 0) {
+    if ((e % 2n) === 1n) {
+      r = (r * b) % n
+    }
+    e = e / 2n
+    b = b ** 2n % n
+  }
+  return r
+}
+
+/**
+ * Finds the smallest positive element that is congruent to a in modulo n
+ * @param {number|bigint} a An integer
+ * @param {number|bigint} n The modulo
+ *
+ * @returns {bigint} The smallest positive representation of a in modulo n
+ */
+export function toZn (a, n) {
+  n = BigInt(n)
+  if (n <= 0) { return NaN }
+
+  a = BigInt(a) % n
+  return (a < 0) ? a + n : a
+}

src/js/index.js

@@ -1,6 +1,5 @@
-import { bitLength, eGcd, modInv, modPow, toZn } from 'bigint-mod-arith'
+import { bitLength, eGcd, modInv, modPow, toZn } from './bigint-mod-arith'
-/* istanbul ignore next */
+export { abs, bitLength, eGcd, gcd, lcm, max, min, modInv, modPow, toZn } from './bigint-mod-arith'
-export { abs, bitLength, eGcd, gcd, lcm, max, min, modInv, modPow, toZn } from 'bigint-mod-arith' // already tested for coverage
 
 /**
  * The test first tries if any of the first 250 small primes are a factor of the input number and then passes several

test/abs.js

@@ -0,0 +1,37 @@
+'use strict'
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+const _pkg = require('../lib/index.node')
+const chai = require('chai')
+// <--
+
+const inputs = [
+  {
+    value: BigInt(1),
+    abs: BigInt(1)
+  },
+  {
+    value: BigInt(-2),
+    abs: BigInt(2)
+  },
+  {
+    value: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'),
+    abs: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'),
+    abs: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  }
+]
+
+describe('abs', function () {
+  for (const input of inputs) {
+    describe(`abs(${input.value})`, function () {
+      it(`should return ${input.abs}`, function () {
+        const ret = _pkg.abs(input.value)
+        chai.expect(ret).to.equal(input.abs)
+      })
+    })
+  }
+})

test/bitLength.js

@@ -0,0 +1,34 @@
+'use strict'
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+const _pkg = require('../lib/index.node')
+const chai = require('chai')
+// <--
+
+const inputs = [
+  {
+    value: BigInt(1),
+    bitLength: 1
+  },
+  {
+    value: BigInt(-2),
+    bitLength: 2
+  },
+  {
+    value: BigInt(11592217955149597331),
+    abs: BigInt(11592217955149597331),
+    bitLength: 64
+  }
+]
+
+describe('bitLength', function () {
+  for (const input of inputs) {
+    describe(`bitLength(${input.value})`, function () {
+      it(`should return ${input.bitLength}`, function () {
+        const ret = _pkg.bitLength(input.value)
+        chai.expect(ret).to.equal(input.bitLength)
+      })
+    })
+  }
+})

test/browser/index.html

@@ -3,8 +3,8 @@
 
 <head>
     <title>bigint-crypto-utils - Mocha Tests</title>
-    <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/mocha/7.1.1/mocha.min.css">
+    <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/mocha/7.1.2/mocha.min.css">
-    <script src="https://cdnjs.cloudflare.com/ajax/libs/mocha/7.1.1/mocha.min.js"></script>
+    <script src="https://cdnjs.cloudflare.com/ajax/libs/mocha/7.1.2/mocha.min.js"></script>
     <script src="https://cdnjs.cloudflare.com/ajax/libs/chai/4.2.0/chai.min.js"></script>
 </head>
 

test/browser/tests.js

@@ -2,6 +2,140 @@
 // Please, do NOT touch. They will be automatically removed for browser tests -->
 
 
+// <--
+
+const inputs = [
+  {
+    value: BigInt(1),
+    abs: BigInt(1)
+  },
+  {
+    value: BigInt(-2),
+    abs: BigInt(2)
+  },
+  {
+    value: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'),
+    abs: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'),
+    abs: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  }
+];
+
+describe('abs', function () {
+  for (const input of inputs) {
+    describe(`abs(${input.value})`, function () {
+      it(`should return ${input.abs}`, function () {
+        const ret = _pkg.abs(input.value);
+        chai.expect(ret).to.equal(input.abs);
+      });
+    });
+  }
+});
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+
+
+// <--
+
+const inputs$1 = [
+  {
+    value: BigInt(1),
+    bitLength: 1
+  },
+  {
+    value: BigInt(-2),
+    bitLength: 2
+  },
+  {
+    value: BigInt(11592217955149597331),
+    abs: BigInt(11592217955149597331),
+    bitLength: 64
+  }
+];
+
+describe('bitLength', function () {
+  for (const input of inputs$1) {
+    describe(`bitLength(${input.value})`, function () {
+      it(`should return ${input.bitLength}`, function () {
+        const ret = _pkg.bitLength(input.value);
+        chai.expect(ret).to.equal(input.bitLength);
+      });
+    });
+  }
+});
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+
+
+// <--
+
+const inputs$2 = [
+  {
+    a: BigInt(1),
+    b: BigInt(1),
+    gcd: BigInt(1)
+  },
+  {
+    a: BigInt(0),
+    b: BigInt(189),
+    gcd: BigInt(189)
+  },
+  {
+    a: BigInt(189),
+    b: BigInt(0),
+    gcd: BigInt(189)
+  },
+  {
+    a: BigInt(0),
+    b: BigInt(0),
+    gcd: BigInt(0)
+  },
+  {
+    a: BigInt(1),
+    b: BigInt('14546149867129487614601346814'),
+    gcd: BigInt(1)
+  },
+  {
+    a: BigInt(27),
+    b: BigInt(18),
+    gcd: BigInt(9)
+  },
+  {
+    a: BigInt(-27),
+    b: BigInt(18),
+    gcd: BigInt(9)
+  },
+  {
+    a: BigInt(256),
+    b: BigInt(128),
+    gcd: BigInt(128)
+  },
+  {
+    a: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109'),
+    b: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243'),
+    gcd: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109')
+  }
+];
+
+describe('gcd', function () {
+  for (const input of inputs$2) {
+    describe(`gcd(${input.a}, ${input.b})`, function () {
+      it(`should return ${input.gcd}`, function () {
+        const ret = _pkg.gcd(input.a, input.b);
+        chai.expect(ret).to.equal(input.gcd);
+      });
+    });
+  }
+});
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+
+
 // <--
 
 const numbers = [
@@ -91,6 +225,365 @@ describe('isProbablyPrime', function () {
       });
     });
   }
+  describe('isProbablyPrime(-1)', function () {
+    it('should throw RangeError', function () {
+      chai.expect(() => _pkg.isProbablyPrime(-1)).to.throw(RangeError);
+    });
+  });
+});
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+
+
+// <--
+
+const inputs$3 = [
+  {
+    a: BigInt(0),
+    b: BigInt(0),
+    lcm: BigInt(0)
+  },
+  {
+    a: BigInt(1),
+    b: BigInt(1),
+    lcm: BigInt(1)
+  },
+  {
+    a: BigInt(1),
+    b: BigInt('14546149867129487614601346814'),
+    lcm: BigInt('14546149867129487614601346814')
+  },
+  {
+    a: BigInt(27),
+    b: BigInt(18),
+    lcm: BigInt(27) * BigInt(2)
+  },
+  {
+    a: BigInt(-27),
+    b: BigInt(18),
+    lcm: BigInt(27) * BigInt(2)
+  },
+  {
+    a: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109'),
+    b: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243'),
+    lcm: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243')
+  }
+];
+
+describe('lcm', function () {
+  for (const input of inputs$3) {
+    describe(`lcm(${input.a}, ${input.b})`, function () {
+      it(`should return ${input.lcm}`, function () {
+        const ret = _pkg.lcm(input.a, input.b);
+        chai.expect(ret).to.equal(input.lcm);
+      });
+    });
+  }
+});
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+
+
+// <--
+
+const inputs$4 = [
+  {
+    value: [BigInt(1), BigInt(2)],
+    max: BigInt(2)
+  },
+  {
+    value: [BigInt(2), BigInt(1)],
+    max: BigInt(2)
+  },
+  {
+    value: [BigInt(2), BigInt(2)],
+    max: BigInt(2)
+  },
+  {
+    value: [BigInt(1), BigInt(-2)],
+    max: BigInt(1)
+  },
+  {
+    value: [BigInt(-2), BigInt(1)],
+    max: BigInt(1)
+  },
+  {
+    value: [BigInt(-2), BigInt(-2)],
+    max: BigInt(-2)
+  },
+  {
+    value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
+    max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
+    max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    max: BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
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+    max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
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+  },
+  {
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+  },
+  {
+    value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    max: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  }
+];
+
+describe('max', function () {
+  for (const input of inputs$4) {
+    describe(`max(${input.value[0]}, ${input.value[1]})`, function () {
+      it(`should return ${input.max}`, function () {
+        const ret = _pkg.max(input.value[0], input.value[1]);
+        chai.expect(ret).to.equal(input.max);
+      });
+    });
+  }
+});
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+
+
+// <--
+
+const inputs$5 = [
+  {
+    value: [BigInt(1), BigInt(2)],
+    min: BigInt(1)
+  },
+  {
+    value: [BigInt(2), BigInt(1)],
+    min: BigInt(1)
+  },
+  {
+    value: [BigInt(2), BigInt(2)],
+    min: BigInt(2)
+  },
+  {
+    value: [BigInt(1), BigInt(-2)],
+    min: BigInt(-2)
+  },
+  {
+    value: [BigInt(-2), BigInt(1)],
+    min: BigInt(-2)
+  },
+  {
+    value: [BigInt(-2), BigInt(-2)],
+    min: BigInt(-2)
+  },
+  {
+    value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
+    min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
+    min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
+  },
+  {
+    value: [BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    min: BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    min: BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    min: BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    min: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  }
+];
+
+describe('min', function () {
+  for (const input of inputs$5) {
+    describe(`min(${input.value[0]}, ${input.value[1]})`, function () {
+      it(`should return ${input.min}`, function () {
+        const ret = _pkg.min(input.value[0], input.value[1]);
+        chai.expect(ret).to.equal(input.min);
+      });
+    });
+  }
+});
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+
+
+// <--
+
+const inputs$6 = [
+  {
+    a: BigInt(1),
+    n: BigInt(19),
+    modInv: BigInt(1)
+  },
+  {
+    a: BigInt(2),
+    n: BigInt(5),
+    modInv: BigInt(3)
+  },
+  {
+    a: BigInt(-2),
+    n: BigInt(5),
+    modInv: BigInt(2)
+  },
+  {
+    a: BigInt(2),
+    n: BigInt(4),
+    modInv: NaN
+  },
+  {
+    a: BigInt(0),
+    n: BigInt(0),
+    modInv: NaN
+  },
+  {
+    a: BigInt(0),
+    n: BigInt(37),
+    modInv: NaN
+  }
+];
+
+describe('modInv', function () {
+  for (const input of inputs$6) {
+    describe(`modInv(${input.a}, ${input.n})`, function () {
+      it(`should return ${input.modInv}`, function () {
+        const ret = _pkg.modInv(input.a, input.n);
+        // chai.assert( String(ret) === String(input.modInv) );
+        chai.expect(String(ret)).to.be.equal(String(input.modInv));
+      });
+    });
+  }
+});
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+
+
+// <--
+
+const inputs$7 = [
+  {
+    a: BigInt(4),
+    b: BigInt(-1),
+    n: BigInt(0),
+    modPow: NaN
+  },
+  {
+    a: BigInt(4),
+    b: BigInt(-1),
+    n: BigInt(1),
+    modPow: BigInt(0)
+  },
+  {
+    a: BigInt(4),
+    b: BigInt(-1),
+    n: BigInt(19),
+    modPow: BigInt(5)
+  },
+  {
+    a: BigInt(-5),
+    b: BigInt(2),
+    n: BigInt(7),
+    modPow: BigInt(4)
+  },
+  {
+    a: BigInt(2),
+    b: BigInt(255),
+    n: BigInt(64),
+    modPow: BigInt(0)
+  },
+  {
+    a: BigInt(3),
+    b: BigInt(3),
+    n: BigInt(25),
+    modPow: BigInt(2)
+  }
+];
+
+describe('modPow', function () {
+  this.timeout(90000);
+  for (const input of inputs$7) {
+    describe(`modPow(${input.a}, ${input.b}, ${input.n})`, function () {
+      it(`should return ${input.modPow}`, function () {
+        const ret = _pkg.modPow(input.a, input.b, input.n);
+        chai.expect(String(ret)).to.equal(String(input.modPow));
+      });
+    });
+  }
+  describe('Time profiling', function () {
+    let iterations = 500;
+    it(`just testing ${iterations} iterations of a big modular exponentiation (1024 bits)`, function () {
+      const p = BigInt('103920301461718841589267304263845359224454055603847417021399996422142529929535423886894599506329362009085557636432288745748144369296043048325513558512136442971686130986388589421125262751724362880217790112013162815676017250234401214198365302142787009943498370856167174244675719638815809347261773472114842038647');
+      const b = BigInt('313632271690673451924314047671460131678794095260951233878123501752357966284491455239133687519908410656818506813151659324961829045286402303082891913186909806785080978448037486178337722667190743610785429936585699831407575170854873682955317589189564880931807976657385223632835801016017549762825562427694700595');
+      const e = BigInt('452149997592306202232720864363485824701879487303880767747217308770351197801836846325633986474037061753983278534192061455638289551714281047915315943771002615269860312318606105460307037327329178890486613832051027105330475852552183444938408408863970975090778239473049899109989825645608770309107015209564444316');
+      while (iterations > 0) {
+        _pkg.modPow(b, e, p);
+        iterations--;
+      }
+    });
+  });
 });
 
 // Every test file (you can create as many as you want) should start like this
@@ -334,3 +827,38 @@ describe('testing randBytes', async function () {
     });
   }
 });
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+
+
+// <--
+
+const inputs$8 = [
+  {
+    a: BigInt(1),
+    n: BigInt(19),
+    toZn: BigInt(1)
+  },
+  {
+    a: BigInt(-25),
+    n: BigInt(9),
+    toZn: BigInt(2)
+  },
+  {
+    a: BigInt('12359782465012847510249'),
+    n: BigInt(5),
+    toZn: BigInt(4)
+  }
+];
+
+describe('toZn', function () {
+  for (const input of inputs$8) {
+    describe(`toZn(${input.a}, ${input.n})`, function () {
+      it(`should return ${input.toZn}`, function () {
+        const ret = _pkg.toZn(input.a, input.n);
+        chai.expect(ret).to.equal(input.toZn);
+      });
+    });
+  }
+});

test/gcd.js

@@ -0,0 +1,66 @@
+'use strict'
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+const _pkg = require('../lib/index.node')
+const chai = require('chai')
+// <--
+
+const inputs = [
+  {
+    a: BigInt(1),
+    b: BigInt(1),
+    gcd: BigInt(1)
+  },
+  {
+    a: BigInt(0),
+    b: BigInt(189),
+    gcd: BigInt(189)
+  },
+  {
+    a: BigInt(189),
+    b: BigInt(0),
+    gcd: BigInt(189)
+  },
+  {
+    a: BigInt(0),
+    b: BigInt(0),
+    gcd: BigInt(0)
+  },
+  {
+    a: BigInt(1),
+    b: BigInt('14546149867129487614601346814'),
+    gcd: BigInt(1)
+  },
+  {
+    a: BigInt(27),
+    b: BigInt(18),
+    gcd: BigInt(9)
+  },
+  {
+    a: BigInt(-27),
+    b: BigInt(18),
+    gcd: BigInt(9)
+  },
+  {
+    a: BigInt(256),
+    b: BigInt(128),
+    gcd: BigInt(128)
+  },
+  {
+    a: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109'),
+    b: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243'),
+    gcd: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109')
+  }
+]
+
+describe('gcd', function () {
+  for (const input of inputs) {
+    describe(`gcd(${input.a}, ${input.b})`, function () {
+      it(`should return ${input.gcd}`, function () {
+        const ret = _pkg.gcd(input.a, input.b)
+        chai.expect(ret).to.equal(input.gcd)
+      })
+    })
+  }
+})

test/isProbablyPrime.js

@@ -93,4 +93,9 @@ describe('isProbablyPrime', function () {
       })
     })
   }
+  describe('isProbablyPrime(-1)', function () {
+    it('should throw RangeError', function () {
+      chai.expect(() => _pkg.isProbablyPrime(-1)).to.throw(RangeError)
+    })
+  })
 })

test/lcm.js

@@ -0,0 +1,51 @@
+'use strict'
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+const _pkg = require('../lib/index.node')
+const chai = require('chai')
+// <--
+
+const inputs = [
+  {
+    a: BigInt(0),
+    b: BigInt(0),
+    lcm: BigInt(0)
+  },
+  {
+    a: BigInt(1),
+    b: BigInt(1),
+    lcm: BigInt(1)
+  },
+  {
+    a: BigInt(1),
+    b: BigInt('14546149867129487614601346814'),
+    lcm: BigInt('14546149867129487614601346814')
+  },
+  {
+    a: BigInt(27),
+    b: BigInt(18),
+    lcm: BigInt(27) * BigInt(2)
+  },
+  {
+    a: BigInt(-27),
+    b: BigInt(18),
+    lcm: BigInt(27) * BigInt(2)
+  },
+  {
+    a: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109'),
+    b: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243'),
+    lcm: BigInt('168694196579467171180863939518634764192343817610869919231900537093664715354591592262546800497540343203057121816378265655992490621138321114570420047522219942818258345349322155251835677199539229050711145144861404607171419723967136221126986330819362088262358855325306938646602003059377699727688477555163239222109') * BigInt('144678545212641449725111562354371812236197961234111744040227045242578772124779004756249085154188369039159690638725821245974978963371615699005072473649705367893567309027634121825164880046600125480885803891136149601797439273507802533807541605261215613891134865916295914192271736572001975016089773532547481638243')
+  }
+]
+
+describe('lcm', function () {
+  for (const input of inputs) {
+    describe(`lcm(${input.a}, ${input.b})`, function () {
+      it(`should return ${input.lcm}`, function () {
+        const ret = _pkg.lcm(input.a, input.b)
+        chai.expect(ret).to.equal(input.lcm)
+      })
+    })
+  }
+})

test/max.js

@@ -0,0 +1,93 @@
+'use strict'
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+const _pkg = require('../lib/index.node')
+const chai = require('chai')
+// <--
+
+const inputs = [
+  {
+    value: [BigInt(1), BigInt(2)],
+    max: BigInt(2)
+  },
+  {
+    value: [BigInt(2), BigInt(1)],
+    max: BigInt(2)
+  },
+  {
+    value: [BigInt(2), BigInt(2)],
+    max: BigInt(2)
+  },
+  {
+    value: [BigInt(1), BigInt(-2)],
+    max: BigInt(1)
+  },
+  {
+    value: [BigInt(-2), BigInt(1)],
+    max: BigInt(1)
+  },
+  {
+    value: [BigInt(-2), BigInt(-2)],
+    max: BigInt(-2)
+  },
+  {
+    value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
+    max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
+    max: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    max: BigInt('-115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    max: BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    max: BigInt('94120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    max: BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    max: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  }
+]
+
+describe('max', function () {
+  for (const input of inputs) {
+    describe(`max(${input.value[0]}, ${input.value[1]})`, function () {
+      it(`should return ${input.max}`, function () {
+        const ret = _pkg.max(input.value[0], input.value[1])
+        chai.expect(ret).to.equal(input.max)
+      })
+    })
+  }
+})

test/min.js

@@ -0,0 +1,93 @@
+'use strict'
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+const _pkg = require('../lib/index.node')
+const chai = require('chai')
+// <--
+
+const inputs = [
+  {
+    value: [BigInt(1), BigInt(2)],
+    min: BigInt(1)
+  },
+  {
+    value: [BigInt(2), BigInt(1)],
+    min: BigInt(1)
+  },
+  {
+    value: [BigInt(2), BigInt(2)],
+    min: BigInt(2)
+  },
+  {
+    value: [BigInt(1), BigInt(-2)],
+    min: BigInt(-2)
+  },
+  {
+    value: [BigInt(-2), BigInt(1)],
+    min: BigInt(-2)
+  },
+  {
+    value: [BigInt(-2), BigInt(-2)],
+    min: BigInt(-2)
+  },
+  {
+    value: [BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
+    min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252')],
+    min: BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')
+  },
+  {
+    value: [BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777'), BigInt('115922179551495973383410176342643722334557255682879605864838806293659619625004303206250384392546855063844106965156287951749387634112551089284595541103692716528774876311641700929986988023197242224581099872580798960693521778607396791006450968430359009613295725905514216842343121690916290236558767890728449777')],
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+  {
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+    min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('918145974144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  },
+  {
+    value: [BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203'), BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')],
+    min: BigInt('-918145944120889203205646923554374144932845997937845799234617798611046542304088105084854788397071323714642587188481158334265864050544813693415594035822877094557870151480865568334936301231664228940480803192289508235412296324312748621874408067955753620604885023289655277704554716080844406284392300643321715285709865081125252390440327650852470312931679380011885102491340191287595160450544053114365852338670819405357496612993587404998677760882578064637552397840566752638770525765833183986360029736508910848408875329873614164495552615086579144675027852136994842529623698055210822311666048300438808691619782893307972452223713060928388502843564836966586109748062827799521852219158489504529458627699284110902303538160168376473182639384638674469114371472053977558648090155686345760457454061117853710619580819749222459422610617170567016772342291486643520567969321969827786373531753524990712622940069883277763528926899970596407140603912036918433859986491820017690762751824769335720368488097262208835708414085501930989486498185503469986946236128468697606998536541209764920494156326791142098506801288127033229779646920082892258428128572765585196779698362187479280520327053508580551167899837393726371144977951402741307021389967382422805567365901203')
+  }
+]
+
+describe('min', function () {
+  for (const input of inputs) {
+    describe(`min(${input.value[0]}, ${input.value[1]})`, function () {
+      it(`should return ${input.min}`, function () {
+        const ret = _pkg.min(input.value[0], input.value[1])
+        chai.expect(ret).to.equal(input.min)
+      })
+    })
+  }
+})

test/modInv.js

@@ -0,0 +1,52 @@
+'use strict'
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+const _pkg = require('../lib/index.node')
+const chai = require('chai')
+// <--
+
+const inputs = [
+  {
+    a: BigInt(1),
+    n: BigInt(19),
+    modInv: BigInt(1)
+  },
+  {
+    a: BigInt(2),
+    n: BigInt(5),
+    modInv: BigInt(3)
+  },
+  {
+    a: BigInt(-2),
+    n: BigInt(5),
+    modInv: BigInt(2)
+  },
+  {
+    a: BigInt(2),
+    n: BigInt(4),
+    modInv: NaN
+  },
+  {
+    a: BigInt(0),
+    n: BigInt(0),
+    modInv: NaN
+  },
+  {
+    a: BigInt(0),
+    n: BigInt(37),
+    modInv: NaN
+  }
+]
+
+describe('modInv', function () {
+  for (const input of inputs) {
+    describe(`modInv(${input.a}, ${input.n})`, function () {
+      it(`should return ${input.modInv}`, function () {
+        const ret = _pkg.modInv(input.a, input.n)
+        // chai.assert( String(ret) === String(input.modInv) );
+        chai.expect(String(ret)).to.be.equal(String(input.modInv))
+      })
+    })
+  }
+})

test/modPow.js

@@ -0,0 +1,70 @@
+'use strict'
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+const _pkg = require('../lib/index.node')
+const chai = require('chai')
+// <--
+
+const inputs = [
+  {
+    a: BigInt(4),
+    b: BigInt(-1),
+    n: BigInt(0),
+    modPow: NaN
+  },
+  {
+    a: BigInt(4),
+    b: BigInt(-1),
+    n: BigInt(1),
+    modPow: BigInt(0)
+  },
+  {
+    a: BigInt(4),
+    b: BigInt(-1),
+    n: BigInt(19),
+    modPow: BigInt(5)
+  },
+  {
+    a: BigInt(-5),
+    b: BigInt(2),
+    n: BigInt(7),
+    modPow: BigInt(4)
+  },
+  {
+    a: BigInt(2),
+    b: BigInt(255),
+    n: BigInt(64),
+    modPow: BigInt(0)
+  },
+  {
+    a: BigInt(3),
+    b: BigInt(3),
+    n: BigInt(25),
+    modPow: BigInt(2)
+  }
+]
+
+describe('modPow', function () {
+  this.timeout(90000)
+  for (const input of inputs) {
+    describe(`modPow(${input.a}, ${input.b}, ${input.n})`, function () {
+      it(`should return ${input.modPow}`, function () {
+        const ret = _pkg.modPow(input.a, input.b, input.n)
+        chai.expect(String(ret)).to.equal(String(input.modPow))
+      })
+    })
+  }
+  describe('Time profiling', function () {
+    let iterations = 500
+    it(`just testing ${iterations} iterations of a big modular exponentiation (1024 bits)`, function () {
+      const p = BigInt('103920301461718841589267304263845359224454055603847417021399996422142529929535423886894599506329362009085557636432288745748144369296043048325513558512136442971686130986388589421125262751724362880217790112013162815676017250234401214198365302142787009943498370856167174244675719638815809347261773472114842038647')
+      const b = BigInt('313632271690673451924314047671460131678794095260951233878123501752357966284491455239133687519908410656818506813151659324961829045286402303082891913186909806785080978448037486178337722667190743610785429936585699831407575170854873682955317589189564880931807976657385223632835801016017549762825562427694700595')
+      const e = BigInt('452149997592306202232720864363485824701879487303880767747217308770351197801836846325633986474037061753983278534192061455638289551714281047915315943771002615269860312318606105460307037327329178890486613832051027105330475852552183444938408408863970975090778239473049899109989825645608770309107015209564444316')
+      while (iterations > 0) {
+        _pkg.modPow(b, e, p)
+        iterations--
+      }
+    })
+  })
+})

test/toZn.js

@@ -0,0 +1,36 @@
+'use strict'
+
+// Every test file (you can create as many as you want) should start like this
+// Please, do NOT touch. They will be automatically removed for browser tests -->
+const _pkg = require('../lib/index.node')
+const chai = require('chai')
+// <--
+
+const inputs = [
+  {
+    a: BigInt(1),
+    n: BigInt(19),
+    toZn: BigInt(1)
+  },
+  {
+    a: BigInt(-25),
+    n: BigInt(9),
+    toZn: BigInt(2)
+  },
+  {
+    a: BigInt('12359782465012847510249'),
+    n: BigInt(5),
+    toZn: BigInt(4)
+  }
+]
+
+describe('toZn', function () {
+  for (const input of inputs) {
+    describe(`toZn(${input.a}, ${input.n})`, function () {
+      it(`should return ${input.toZn}`, function () {
+        const ret = _pkg.toZn(input.a, input.n)
+        chai.expect(ret).to.equal(input.toZn)
+      })
+    })
+  }
+})

types/index.d.ts

@@ -1,3 +1,51 @@
+/**
+ * A triple (g, x, y), such that ax + by = g = gcd(a, b).
+ */
+export type egcdReturn = {
+    g: bigint;
+    x: bigint;
+    y: bigint;
+};
+/**
+ * Absolute value. abs(a)==a if a>=0. abs(a)==-a if a<0
+ *
+ * @param {number|bigint} a
+ *
+ * @returns {bigint} the absolute value of a
+ */
+export function abs(a: number | bigint): bigint;
+/**
+ * Returns the bitlength of a number
+ *
+ * @param {number|bigint} a
+ * @returns {number} - the bit length
+ */
+export function bitLength(a: number | bigint): number;
+/**
+ * @typedef {Object} egcdReturn A triple (g, x, y), such that ax + by = g = gcd(a, b).
+ * @property {bigint} g
+ * @property {bigint} x
+ * @property {bigint} y
+ */
+/**
+ * An iterative implementation of the extended euclidean algorithm or extended greatest common divisor algorithm.
+ * Take positive integers a, b as input, and return a triple (g, x, y), such that ax + by = g = gcd(a, b).
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {egcdReturn} A triple (g, x, y), such that ax + by = g = gcd(a, b).
+ */
+export function eGcd(a: number | bigint, b: number | bigint): egcdReturn;
+/**
+ * Greatest-common divisor of two integers based on the iterative binary algorithm.
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} The greatest common divisor of a and b
+ */
+export function gcd(a: number | bigint, b: number | bigint): bigint;
 /**
  * The test first tries if any of the first 250 small primes are a factor of the input number and then passes several
  * iterations of Miller-Rabin Probabilistic Primality Test (FIPS 186-4 C.3.1)
@@ -11,6 +59,51 @@
  * @returns {Promise<boolean>} A promise that resolves to a boolean that is either true (a probably prime number) or false (definitely composite)
  */
 export function isProbablyPrime(w: number | bigint, iterations?: number, disableWorkers?: boolean): Promise<boolean>;
+/**
+ * The least common multiple computed as abs(a*b)/gcd(a,b)
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} The least common multiple of a and b
+ */
+export function lcm(a: number | bigint, b: number | bigint): bigint;
+/**
+ * Maximum. max(a,b)==a if a>=b. max(a,b)==b if a<=b
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} maximum of numbers a and b
+ */
+export function max(a: number | bigint, b: number | bigint): bigint;
+/**
+ * Minimum. min(a,b)==b if a>=b. min(a,b)==a if a<=b
+ *
+ * @param {number|bigint} a
+ * @param {number|bigint} b
+ *
+ * @returns {bigint} minimum of numbers a and b
+ */
+export function min(a: number | bigint, b: number | bigint): bigint;
+/**
+ * Modular inverse.
+ *
+ * @param {number|bigint} a The number to find an inverse for
+ * @param {number|bigint} n The modulo
+ *
+ * @returns {bigint|NaN} the inverse modulo n or NaN if it does not exist
+ */
+export function modInv(a: number | bigint, n: number | bigint): number | bigint;
+/**
+ * Modular exponentiation b**e mod n. Currently using the right-to-left binary method
+ *
+ * @param {number|bigint} b base
+ * @param {number|bigint} e exponent
+ * @param {number|bigint} n modulo
+ *
+ * @returns {bigint} b**e mod n
+ */
+export function modPow(b: number | bigint, e: number | bigint, n: number | bigint): bigint;
 /**
  * A probably-prime (Miller-Rabin), cryptographically-secure, random-number generator.
  * The browser version uses web workers to parallelise prime look up. Therefore, it does not lock the UI
@@ -91,4 +184,11 @@ export function randBytes(byteLength: number, forceLength?: boolean): Promise<Ui
  * @returns {Buffer | Uint8Array} A Buffer/UInt8Array (Node.js/Browser) filled with cryptographically secure random bytes
  */
 export function randBytesSync(byteLength: number, forceLength?: boolean): Uint8Array | Buffer;
-export { abs, bitLength, eGcd, gcd, lcm, max, min, modInv, modPow, toZn } from "bigint-mod-arith";
+/**
+ * Finds the smallest positive element that is congruent to a in modulo n
+ * @param {number|bigint} a An integer
+ * @param {number|bigint} n The modulo
+ *
+ * @returns {bigint} The smallest positive representation of a in modulo n
+ */
+export function toZn(a: number | bigint, n: number | bigint): bigint;