crypto: add generatePrime/checkPrime

APIs for generating and checking pseudo-random primes

Signed-off-by: James M Snell <jasnell@gmail.com>

PR-URL: #36997
Reviewed-By: Tobias Nießen <tniessen@tnie.de>

doc/api/crypto.md

@@ -1961,6 +1961,48 @@ is currently in use. Setting to true requires a FIPS build of Node.js.
 This property is deprecated. Please use `crypto.setFips()` and
 `crypto.getFips()` instead.
 
+### `crypto.checkPrime(candidate[, options, [callback]])`
+<!-- YAML
+added: REPLACEME
+-->
+
+* `candidate` {ArrayBuffer|SharedArrayBuffer|TypedArray|Buffer|DataView|bigint}
+  A possible prime encoded as a sequence of big endian octets of arbitrary
+  length.
+* `options` {Object}
+  * `checks` {number} The number of Miller-Rabin probabilistic primality
+    iterations to perform. When the value is `0` (zero), a number of checks
+    is used that yields a false positive rate of at most 2<sup>-64</sup> for
+    random input. Care must be used when selecting a number of checks. Refer
+    to the OpenSSL documentation for the [`BN_is_prime_ex`][] function `nchecks`
+    options for more details. **Defaults**: `0`
+* `callback` {Function}
+  * `err` {Error} Set to an {Error} object if an error occured during check.
+  * `result` {boolean} `true` if the candidate is a prime with an error
+    probability less than `0.25 ** options.checks`.
+
+Checks the primality of the `candidate`.
+
+### `crypto.checkPrimeSync(candidate[, options])`
+<!-- YAML
+added: REPLACEME
+-->
+
+* `candidate` {ArrayBuffer|SharedArrayBuffer|TypedArray|Buffer|DataView|bigint}
+  A possible prime encoded as a sequence of big endian octets of arbitrary
+  length.
+* `options` {Object}
+  * `checks` {number} The number of Miller-Rabin probabilistic primality
+    iterations to perform. When the value is `0` (zero), a number of checks
+    is used that yields a false positive rate of at most 2<sup>-64</sup> for
+    random input. Care must be used when selecting a number of checks. Refer
+    to the OpenSSL documentation for the [`BN_is_prime_ex`][] function `nchecks`
+    options for more details. **Defaults**: `0`
+* Returns: {boolean} `true` if the candidate is a prime with an error
+  probability less than `0.25 ** options.checks`.
+
+Checks the primality of the `candidate`.
+
 ### `crypto.createCipher(algorithm, password[, options])`
 <!-- YAML
 added: v0.1.94
@@ -2694,6 +2736,78 @@ The return value `{ publicKey, privateKey }` represents the generated key pair.
 When PEM encoding was selected, the respective key will be a string, otherwise
 it will be a buffer containing the data encoded as DER.
 
+### `crypto.generatePrime(size[, options[, callback]])`
+<!-- YAML
+added: REPLACEME
+-->
+
+* `size` {number} The size (in bits) of the prime to generate.
+* `options` {Object}
+  * `add` {ArrayBuffer|SharedArrayBuffer|TypedArray|Buffer|DataView|bigint}
+  * `rem` {ArrayBuffer|SharedArrayBuffer|TypedArray|Buffer|DataView|bigint}
+  * `safe` {boolean} **Defaults**: `false`.
+  * `bigint` {boolean} When `true`, the generated prime is returned
+    as a `bigint`.
+* `callback` {Function}
+  * `err` {Error}
+  * `prime` {ArrayBuffer|bigint}
+
+Generates a pseudo-random prime of `size` bits.
+
+If `options.safe` is `true`, the prime will be a safe prime -- that is,
+`(prime - 1) / 2` will also be a prime.
+
+If `options.add` and `options.rem` are set, the prime will satisfy the
+condition that `prime % add = rem`. The `options.rem` is ignored if
+`options.add` is not given. If `options.safe` is `true`, `options.add`
+is given, and `options.rem` is `undefined`, then the prime generated
+will satisfy the condition `prime % add = 3`. Otherwise if `options.safe`
+is `false` and `options.rem` is `undefined`, `options.add` will be
+ignored.
+
+Both `options.add` and `options.rem` must be encoded as big-endian sequences
+if given as an `ArrayBuffer`, `SharedArrayBuffer`, `TypedArray`, `Buffer`, or
+`DataView`.
+
+By default, the prime is encoded as a big-endian sequence of octets
+in an {ArrayBuffer}. If the `bigint` option is `true`, then a {bigint}
+is provided.
+
+### `crypto.generatePrimeSync(size[, options])`
+<!-- YAML
+added: REPLACEME
+-->
+
+* `size` {number} The size (in bits) of the prime to generate.
+* `options` {Object}
+  * `add` {ArrayBuffer|SharedArrayBuffer|TypedArray|Buffer|DataView|bigint}
+  * `rem` {ArrayBuffer|SharedArrayBuffer|TypedArray|Buffer|DataView|bigint}
+  * `safe` {boolean} **Defaults**: `false`.
+  * `bigint` {boolean} When `true`, the generated prime is returned
+    as a `bigint`.
+* Returns: {ArrayBuffer|bigint}
+
+Generates a pseudo-random prime of `size` bits.
+
+If `options.safe` is `true`, the prime will be a safe prime -- that is,
+`(prime - 1)` / 2 will also be a prime.
+
+If `options.add` and `options.rem` are set, the prime will satisfy the
+condition that `prime % add = rem`. The `options.rem` is ignored if
+`options.add` is not given. If `options.safe` is `true`, `options.add`
+is given, and `options.rem` is `undefined`, then the prime generated
+will satisfy the condition `prime % add = 3`. Otherwise if `options.safe`
+is `false` and `options.rem` is `undefined`, `options.add` will be
+ignored.
+
+Both `options.add` and `options.rem` must be encoded as big-endian sequences
+if given as an `ArrayBuffer`, `SharedArrayBuffer`, `TypedArray`, `Buffer`, or
+`DataView`.
+
+By default, the prime is encoded as a big-endian sequence of octets
+in an {ArrayBuffer}. If the `bigint` option is `true`, then a {bigint}
+is provided.
+
 ### `crypto.getCiphers()`
 <!-- YAML
 added: v0.9.3
@@ -4234,6 +4348,7 @@ See the [list of SSL OP Flags][] for details.
 [RFC 4122]: https://www.rfc-editor.org/rfc/rfc4122.txt
 [RFC 5208]: https://www.rfc-editor.org/rfc/rfc5208.txt
 [Web Crypto API documentation]: webcrypto.md
+[`BN_is_prime_ex`]: https://www.openssl.org/docs/man1.1.1/man3/BN_is_prime_ex.html
 [`Buffer`]: buffer.md
 [`EVP_BytesToKey`]: https://www.openssl.org/docs/man1.1.0/crypto/EVP_BytesToKey.html
 [`KeyObject`]: #crypto_class_keyobject

lib/crypto.js

@@ -50,6 +50,10 @@ const {
   timingSafeEqual,
 } = internalBinding('crypto');
 const {
+  checkPrime,
+  checkPrimeSync,
+  generatePrime,
+  generatePrimeSync,
   randomBytes,
   randomFill,
   randomFillSync,
@@ -170,6 +174,8 @@ function createVerify(algorithm, options) {
 
 module.exports = {
   // Methods
+  checkPrime,
+  checkPrimeSync,
   createCipheriv,
   createDecipheriv,
   createDiffieHellman,
@@ -183,6 +189,8 @@ module.exports = {
   createSign,
   createVerify,
   diffieHellman,
+  generatePrime,
+  generatePrimeSync,
   getCiphers,
   getCipherInfo,
   getCurves,