diff --git a/phpseclib/Crypt/DH.php b/phpseclib/Crypt/DH.php
index 5186f032..2547614a 100644
--- a/phpseclib/Crypt/DH.php
+++ b/phpseclib/Crypt/DH.php
@@ -326,9 +326,8 @@ abstract class DH extends AsymmetricKey
      * OnLoad Handler
      *
      * @return bool
-     * @param array $components
      */
-    protected static function onLoad($components)
+    protected static function onLoad(array $components)
     {
         if (!isset($components['privateKey']) && !isset($components['publicKey'])) {
             $new = new Parameters();
diff --git a/phpseclib/Crypt/DSA.php b/phpseclib/Crypt/DSA.php
index 964a34cd..1d265860 100644
--- a/phpseclib/Crypt/DSA.php
+++ b/phpseclib/Crypt/DSA.php
@@ -214,9 +214,8 @@ abstract class DSA extends AsymmetricKey
      * OnLoad Handler
      *
      * @return bool
-     * @param array $components
      */
-    protected static function onLoad($components)
+    protected static function onLoad(array $components)
     {
         if (!isset(self::$engines['PHP'])) {
             self::useBestEngine();
diff --git a/phpseclib/Crypt/EC.php b/phpseclib/Crypt/EC.php
index 703a7bc0..a6dc40c7 100644
--- a/phpseclib/Crypt/EC.php
+++ b/phpseclib/Crypt/EC.php
@@ -199,9 +199,8 @@ abstract class EC extends AsymmetricKey
      * OnLoad Handler
      *
      * @return bool
-     * @param array $components
      */
-    protected static function onLoad($components)
+    protected static function onLoad(array $components)
     {
         if (!isset(self::$engines['PHP'])) {
             self::useBestEngine();
diff --git a/phpseclib/Crypt/EC/BaseCurves/Prime.php b/phpseclib/Crypt/EC/BaseCurves/Prime.php
index d6fb2bb5..6250dfb0 100644
--- a/phpseclib/Crypt/EC/BaseCurves/Prime.php
+++ b/phpseclib/Crypt/EC/BaseCurves/Prime.php
@@ -645,7 +645,7 @@ class Prime extends Base
      *
      * @return int[]
      */
-    private function getNAFPoints($point, $wnd)
+    private function getNAFPoints(array $point, $wnd)
     {
         if (isset($point['naf'])) {
             return $point['naf'];
diff --git a/phpseclib/Crypt/EC/Formats/Keys/XML.php b/phpseclib/Crypt/EC/Formats/Keys/XML.php
index d548bc27..f82c013f 100644
--- a/phpseclib/Crypt/EC/Formats/Keys/XML.php
+++ b/phpseclib/Crypt/EC/Formats/Keys/XML.php
@@ -115,7 +115,7 @@ abstract class XML
      * @param bool $decode optional
      * @return \DOMNodeList
      */
-    private static function query($xpath, $name, $error = null, $decode = true)
+    private static function query(\DOMXPath $xpath, $name, $error = null, $decode = true)
     {
         $query = '/';
         $names = explode('/', $name);
diff --git a/phpseclib/Crypt/RSA.php b/phpseclib/Crypt/RSA.php
index e96ba359..6d2d47a4 100644
--- a/phpseclib/Crypt/RSA.php
+++ b/phpseclib/Crypt/RSA.php
@@ -422,9 +422,8 @@ abstract class RSA extends AsymmetricKey
      * OnLoad Handler
      *
      * @return bool
-     * @param array $components
      */
-    protected static function onLoad($components)
+    protected static function onLoad(array $components)
     {
         $key = $components['isPublicKey'] ?
             new PublicKey() :
diff --git a/phpseclib/Crypt/RSA/PrivateKey.php b/phpseclib/Crypt/RSA/PrivateKey.php
index b5e197af..0d9c51ee 100644
--- a/phpseclib/Crypt/RSA/PrivateKey.php
+++ b/phpseclib/Crypt/RSA/PrivateKey.php
@@ -60,10 +60,9 @@ class PrivateKey extends RSA implements Common\PrivateKey
      *
      * See {@link http://tools.ietf.org/html/rfc3447#section-5.1.2 RFC3447#section-5.1.2}.
      *
-     * @param \phpseclib3\Math\BigInteger $c
      * @return bool|\phpseclib3\Math\BigInteger
      */
-    private function rsadp($c)
+    private function rsadp(BigInteger $c)
     {
         if ($c->compare(self::$zero) < 0 || $c->compare($this->modulus) > 0) {
             throw new \OutOfRangeException('Ciphertext representative out of range');
@@ -76,10 +75,9 @@ class PrivateKey extends RSA implements Common\PrivateKey
      *
      * See {@link http://tools.ietf.org/html/rfc3447#section-5.2.1 RFC3447#section-5.2.1}.
      *
-     * @param \phpseclib3\Math\BigInteger $m
      * @return bool|\phpseclib3\Math\BigInteger
      */
-    private function rsasp1($m)
+    private function rsasp1(BigInteger $m)
     {
         if ($m->compare(self::$zero) < 0 || $m->compare($this->modulus) > 0) {
             throw new \OutOfRangeException('Signature representative out of range');
@@ -176,7 +174,7 @@ class PrivateKey extends RSA implements Common\PrivateKey
      * @param int $i
      * @return \phpseclib3\Math\BigInteger
      */
-    private function blind($x, $r, $i)
+    private function blind(BigInteger $x, BigInteger $r, $i)
     {
         $x = $x->multiply($r->modPow($this->publicExponent, $this->primes[$i]));
         $x = $x->modPow($this->exponents[$i], $this->primes[$i]);
diff --git a/phpseclib/Crypt/RSA/PublicKey.php b/phpseclib/Crypt/RSA/PublicKey.php
index 89408792..5e267b9e 100644
--- a/phpseclib/Crypt/RSA/PublicKey.php
+++ b/phpseclib/Crypt/RSA/PublicKey.php
@@ -364,7 +364,7 @@ class PublicKey extends RSA implements Common\PublicKey
      * @throws \LengthException if strlen($m) > $this->k - 2 * $this->hLen - 2
      * @return string
      */
-    private function rsaes_oaep_encrypt($m)
+    private function rsaes_oaep_encrypt(BigInteger $m)
     {
         $mLen = strlen($m);
 
diff --git a/phpseclib/File/ANSI.php b/phpseclib/File/ANSI.php
index 4f940b76..5803a372 100644
--- a/phpseclib/File/ANSI.php
+++ b/phpseclib/File/ANSI.php
@@ -440,7 +440,7 @@ class ANSI
      * @param string $char
      * @return string
      */
-    private function processCoordinate($last_attr, $cur_attr, $char)
+    private function processCoordinate(\stdClass $last_attr, \stdClass $cur_attr, $char)
     {
         $output = '';
 
diff --git a/phpseclib/File/ASN1.php b/phpseclib/File/ASN1.php
index 8915ad0b..39a0dc0d 100644
--- a/phpseclib/File/ASN1.php
+++ b/phpseclib/File/ASN1.php
@@ -516,12 +516,8 @@ abstract class ASN1
      * @param array $special
      * @return array|bool|Element|string|null
      */
-    public static function asn1map($decoded, $mapping, $special = [])
+    public static function asn1map(array $decoded, $mapping, $special = [])
     {
-        if (!is_array($decoded)) {
-            return false;
-        }
-
         if (isset($mapping['explicit']) && is_array($decoded['content'])) {
             $decoded = $decoded['content'][0];
         }
@@ -854,7 +850,7 @@ abstract class ASN1
      * @param array $special
      * @return string
      */
-    private static function encode_der($source, $mapping, $idx = null, $special = [])
+    private static function encode_der($source, array $mapping, $idx = null, array $special = [])
     {
         if ($source instanceof Element) {
             return $source->element;
@@ -1310,7 +1306,7 @@ abstract class ASN1
      *
      * @param array $oids
      */
-    public static function loadOIDs($oids)
+    public static function loadOIDs(array $oids)
     {
         self::$reverseOIDs += $oids;
         self::$oids = array_flip(self::$reverseOIDs);
@@ -1324,7 +1320,7 @@ abstract class ASN1
      *
      * @param array $filters
      */
-    public static function setFilters($filters)
+    public static function setFilters(array $filters)
     {
         self::$filters = $filters;
     }
diff --git a/phpseclib/File/X509.php b/phpseclib/File/X509.php
index 379863b4..88aedf08 100644
--- a/phpseclib/File/X509.php
+++ b/phpseclib/File/X509.php
@@ -507,7 +507,7 @@ class X509
      * @param int $format optional
      * @return string
      */
-    public function saveX509($cert, $format = self::FORMAT_PEM)
+    public function saveX509(array $cert, $format = self::FORMAT_PEM)
     {
         if (!is_array($cert) || !isset($cert['tbsCertificate'])) {
             return false;
@@ -577,7 +577,7 @@ class X509
      * @param array $root (by reference)
      * @param string $path
      */
-    private function mapInExtensions(&$root, $path)
+    private function mapInExtensions(array &$root, $path)
     {
         $extensions = &$this->subArrayUnchecked($root, $path);
 
@@ -625,7 +625,7 @@ class X509
      * @param array $root (by reference)
      * @param string $path
      */
-    private function mapOutExtensions(&$root, $path)
+    private function mapOutExtensions(array &$root, $path)
     {
         $extensions = &$this->subArray($root, $path, !empty($this->extensionValues));
 
@@ -786,7 +786,7 @@ class X509
      * @param array $root (by reference)
      * @param string $path
      */
-    private function mapInDNs(&$root, $path)
+    private function mapInDNs(array &$root, $path)
     {
         $dns = &$this->subArray($root, $path);
 
@@ -814,7 +814,7 @@ class X509
      * @param array $root (by reference)
      * @param string $path
      */
-    private function mapOutDNs(&$root, $path)
+    private function mapOutDNs(array &$root, $path)
     {
         $dns = &$this->subArray($root, $path);