diff --git a/cryptography/hazmat/backends/openssl/asn1.py b/cryptography/hazmat/backends/openssl/asn1.py
index b56932f..a186d59 100644
--- a/cryptography/hazmat/backends/openssl/asn1.py
+++ b/cryptography/hazmat/backends/openssl/asn1.py
@@ -102,7 +102,7 @@
 
 MACROS = """
 ASN1_TIME *M_ASN1_TIME_dup(void *);
-ASN1_ITEM *ASN1_ITEM_ptr(ASN1_ITEM_EXP *);
+ASN1_ITEM_EXP *ASN1_ITEM_ptr(ASN1_ITEM_EXP *);
 
 /* These aren't macros these arguments are all const X on openssl > 1.0.x */
 
diff --git a/cryptography/hazmat/backends/openssl/evp.py b/cryptography/hazmat/backends/openssl/evp.py
index 8cf96b2..0662b1e 100644
--- a/cryptography/hazmat/backends/openssl/evp.py
+++ b/cryptography/hazmat/backends/openssl/evp.py
@@ -103,12 +103,12 @@
 
 CUSTOMIZATIONS = """
 #ifdef EVP_CTRL_GCM_SET_TAG
-const int Cryptography_HAS_GCM = 1;
+const long Cryptography_HAS_GCM = 1;
 #else
-const int Cryptography_HAS_GCM = 0;
-const int EVP_CTRL_GCM_GET_TAG = -1;
-const int EVP_CTRL_GCM_SET_TAG = -1;
-const int EVP_CTRL_GCM_SET_IVLEN = -1;
+const long Cryptography_HAS_GCM = 0;
+const long EVP_CTRL_GCM_GET_TAG = -1;
+const long EVP_CTRL_GCM_SET_TAG = -1;
+const long EVP_CTRL_GCM_SET_IVLEN = -1;
 #endif
 """
 
diff --git a/cryptography/hazmat/backends/openssl/ssl.py b/cryptography/hazmat/backends/openssl/ssl.py
index 3fd0bf2..2777ad4 100644
--- a/cryptography/hazmat/backends/openssl/ssl.py
+++ b/cryptography/hazmat/backends/openssl/ssl.py
@@ -144,8 +144,8 @@
 void SSL_set_verify_depth(SSL *, int);
 int SSL_get_verify_depth(const SSL *);
 int (*SSL_get_verify_callback(const SSL *))(int, X509_STORE_CTX *);
-void SSL_set_info_callback(SSL *, void (*)());
-void (*SSL_get_info_callback(const SSL *))();
+void SSL_set_info_callback(SSL *ssl, void (*)(const SSL *, int, int));
+void (*SSL_get_info_callback(const SSL *))(const SSL *, int, int);
 SSL *SSL_new(SSL_CTX *);
 void SSL_free(SSL *);
 int SSL_set_fd(SSL *, int);
@@ -207,7 +207,7 @@
 int SSL_want_read(const SSL *);
 int SSL_want_write(const SSL *);
 
-int SSL_total_renegotiations(const SSL *);
+int SSL_total_renegotiations(SSL *);
 
 long SSL_CTX_set_options(SSL_CTX *, long);
 long SSL_CTX_get_options(SSL_CTX *);
@@ -255,18 +255,18 @@
 
 CUSTOMIZATIONS = """
 #ifdef OPENSSL_NO_SSL2
-static const int Cryptography_HAS_SSL2 = 0;
+static const long Cryptography_HAS_SSL2 = 0;
 SSL_METHOD* (*SSLv2_method)() = NULL;
 SSL_METHOD* (*SSLv2_client_method)() = NULL;
 SSL_METHOD* (*SSLv2_server_method)() = NULL;
 #else
-static const int Cryptography_HAS_SSL2 = 1;
+static const long Cryptography_HAS_SSL2 = 1;
 #endif
 
 #ifdef SSL_CTRL_SET_TLSEXT_HOSTNAME
-static const int Cryptography_HAS_TLSEXT_HOSTNAME = 1;
+static const long Cryptography_HAS_TLSEXT_HOSTNAME = 1;
 #else
-static const int Cryptography_HAS_TLSEXT_HOSTNAME = 0;
+static const long Cryptography_HAS_TLSEXT_HOSTNAME = 0;
 void (*SSL_set_tlsext_host_name)(SSL *, char *) = NULL;
 const char* (*SSL_get_servername)(const SSL *, const int) = NULL;
 void (*SSL_CTX_set_tlsext_servername_callback)(
@@ -275,17 +275,17 @@
 #endif
 
 #ifdef SSL_MODE_RELEASE_BUFFERS
-static const int Cryptography_HAS_RELEASE_BUFFERS = 1;
+static const long Cryptography_HAS_RELEASE_BUFFERS = 1;
 #else
-static const int Cryptography_HAS_RELEASE_BUFFERS = 0;
-const int SSL_MODE_RELEASE_BUFFERS = 0;
+static const long Cryptography_HAS_RELEASE_BUFFERS = 0;
+const long SSL_MODE_RELEASE_BUFFERS = 0;
 #endif
 
 #ifdef SSL_OP_NO_COMPRESSION
-static const int Cryptography_HAS_OP_NO_COMPRESSION = 1;
+static const long Cryptography_HAS_OP_NO_COMPRESSION = 1;
 #else
-static const int Cryptography_HAS_OP_NO_COMPRESSION = 0;
-const int SSL_OP_NO_COMPRESSION = 0;
+static const long Cryptography_HAS_OP_NO_COMPRESSION = 0;
+const long SSL_OP_NO_COMPRESSION = 0;
 #endif
 """
 
diff --git a/cryptography/hazmat/backends/openssl/x509.py b/cryptography/hazmat/backends/openssl/x509.py
index dd7815f..5cba476 100644
--- a/cryptography/hazmat/backends/openssl/x509.py
+++ b/cryptography/hazmat/backends/openssl/x509.py
@@ -47,7 +47,7 @@
 } X509_REVOKED;
 
 typedef struct {
-    struct x509_revoked_st *revoked;
+    struct stack_st_X509_REVOKED *revoked;
     ...;
 } X509_CRL_INFO;
 
@@ -178,8 +178,8 @@
 void sk_X509_EXTENSION_delete(X509_EXTENSIONS *, int);
 void sk_X509_EXTENSION_free(X509_EXTENSIONS *);
 
-int sk_X509_REVOKED_num(struct x509_revoked_st *);
-X509_REVOKED *sk_X509_REVOKED_value(struct x509_revoked_st *, int);
+int sk_X509_REVOKED_num(struct stack_st_X509_REVOKED *);
+X509_REVOKED *sk_X509_REVOKED_value(struct stack_st_X509_REVOKED *, int);
 
 /* These aren't macros these arguments are all const X on openssl > 1.0.x */
 int X509_CRL_set_lastUpdate(X509_CRL *, const ASN1_TIME *);