diff --git a/library/ecp_curves.c b/library/ecp_curves.c
index 893bfa9..4cac3ab 100644
--- a/library/ecp_curves.c
+++ b/library/ecp_curves.c
@@ -20,13 +20,13 @@
  *  51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
  */
 
-#if !defined(POLARSSL_CONFIG_FILE)
+#if !defined(MBEDTLS_CONFIG_FILE)
 #include "mbedtls/config.h"
 #else
-#include POLARSSL_CONFIG_FILE
+#include MBEDTLS_CONFIG_FILE
 #endif
 
-#if defined(POLARSSL_ECP_C)
+#if defined(MBEDTLS_ECP_C)
 
 #include "mbedtls/ecp.h"
 
@@ -42,9 +42,9 @@
 
 /*
  * Conversion macros for embedded constants:
- * build lists of t_uint's from lists of unsigned char's grouped by 8, 4 or 2
+ * build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
  */
-#if defined(POLARSSL_HAVE_INT8)
+#if defined(MBEDTLS_HAVE_INT8)
 
 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
     a, b, c, d, e, f, g, h
@@ -55,11 +55,11 @@
 #define BYTES_TO_T_UINT_2( a, b )                   \
     a, b
 
-#elif defined(POLARSSL_HAVE_INT16)
+#elif defined(MBEDTLS_HAVE_INT16)
 
 #define BYTES_TO_T_UINT_2( a, b )                   \
-    ( (t_uint) a << 0 ) |                           \
-    ( (t_uint) b << 8 )
+    ( (mbedtls_mpi_uint) a << 0 ) |                           \
+    ( (mbedtls_mpi_uint) b << 8 )
 
 #define BYTES_TO_T_UINT_4( a, b, c, d )             \
     BYTES_TO_T_UINT_2( a, b ),                      \
@@ -71,13 +71,13 @@
     BYTES_TO_T_UINT_2( e, f ),                      \
     BYTES_TO_T_UINT_2( g, h )
 
-#elif defined(POLARSSL_HAVE_INT32)
+#elif defined(MBEDTLS_HAVE_INT32)
 
 #define BYTES_TO_T_UINT_4( a, b, c, d )             \
-    ( (t_uint) a <<  0 ) |                          \
-    ( (t_uint) b <<  8 ) |                          \
-    ( (t_uint) c << 16 ) |                          \
-    ( (t_uint) d << 24 )
+    ( (mbedtls_mpi_uint) a <<  0 ) |                          \
+    ( (mbedtls_mpi_uint) b <<  8 ) |                          \
+    ( (mbedtls_mpi_uint) c << 16 ) |                          \
+    ( (mbedtls_mpi_uint) d << 24 )
 
 #define BYTES_TO_T_UINT_2( a, b )                   \
     BYTES_TO_T_UINT_4( a, b, 0, 0 )
@@ -89,14 +89,14 @@
 #else /* 64-bits */
 
 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
-    ( (t_uint) a <<  0 ) |                          \
-    ( (t_uint) b <<  8 ) |                          \
-    ( (t_uint) c << 16 ) |                          \
-    ( (t_uint) d << 24 ) |                          \
-    ( (t_uint) e << 32 ) |                          \
-    ( (t_uint) f << 40 ) |                          \
-    ( (t_uint) g << 48 ) |                          \
-    ( (t_uint) h << 56 )
+    ( (mbedtls_mpi_uint) a <<  0 ) |                          \
+    ( (mbedtls_mpi_uint) b <<  8 ) |                          \
+    ( (mbedtls_mpi_uint) c << 16 ) |                          \
+    ( (mbedtls_mpi_uint) d << 24 ) |                          \
+    ( (mbedtls_mpi_uint) e << 32 ) |                          \
+    ( (mbedtls_mpi_uint) f << 40 ) |                          \
+    ( (mbedtls_mpi_uint) g << 48 ) |                          \
+    ( (mbedtls_mpi_uint) h << 56 )
 
 #define BYTES_TO_T_UINT_4( a, b, c, d )             \
     BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
@@ -104,7 +104,7 @@
 #define BYTES_TO_T_UINT_2( a, b )                   \
     BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
 
-#endif /* bits in t_uint */
+#endif /* bits in mbedtls_mpi_uint */
 
 /*
  * Note: the constants are in little-endian order
@@ -114,111 +114,111 @@
 /*
  * Domain parameters for secp192r1
  */
-#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
-static const t_uint secp192r1_p[] = {
+#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
+static const mbedtls_mpi_uint secp192r1_p[] = {
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-static const t_uint secp192r1_b[] = {
+static const mbedtls_mpi_uint secp192r1_b[] = {
     BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
     BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
     BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
 };
-static const t_uint secp192r1_gx[] = {
+static const mbedtls_mpi_uint secp192r1_gx[] = {
     BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
     BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
     BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
 };
-static const t_uint secp192r1_gy[] = {
+static const mbedtls_mpi_uint secp192r1_gy[] = {
     BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
     BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
     BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
 };
-static const t_uint secp192r1_n[] = {
+static const mbedtls_mpi_uint secp192r1_n[] = {
     BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
     BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-#endif /* POLARSSL_ECP_DP_SECP192R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
 
 /*
  * Domain parameters for secp224r1
  */
-#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
-static const t_uint secp224r1_p[] = {
+#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
+static const mbedtls_mpi_uint secp224r1_p[] = {
     BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
     BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
 };
-static const t_uint secp224r1_b[] = {
+static const mbedtls_mpi_uint secp224r1_b[] = {
     BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
     BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
     BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
     BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
 };
-static const t_uint secp224r1_gx[] = {
+static const mbedtls_mpi_uint secp224r1_gx[] = {
     BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
     BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
     BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
     BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
 };
-static const t_uint secp224r1_gy[] = {
+static const mbedtls_mpi_uint secp224r1_gy[] = {
     BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
     BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
     BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
     BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
 };
-static const t_uint secp224r1_n[] = {
+static const mbedtls_mpi_uint secp224r1_n[] = {
     BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
     BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
 
 /*
  * Domain parameters for secp256r1
  */
-#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
-static const t_uint secp256r1_p[] = {
+#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
+static const mbedtls_mpi_uint secp256r1_p[] = {
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
     BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
     BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-static const t_uint secp256r1_b[] = {
+static const mbedtls_mpi_uint secp256r1_b[] = {
     BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
     BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
     BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
     BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
 };
-static const t_uint secp256r1_gx[] = {
+static const mbedtls_mpi_uint secp256r1_gx[] = {
     BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
     BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
     BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
     BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
 };
-static const t_uint secp256r1_gy[] = {
+static const mbedtls_mpi_uint secp256r1_gy[] = {
     BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
     BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
     BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
     BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
 };
-static const t_uint secp256r1_n[] = {
+static const mbedtls_mpi_uint secp256r1_n[] = {
     BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
     BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-#endif /* POLARSSL_ECP_DP_SECP256R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
 
 /*
  * Domain parameters for secp384r1
  */
-#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
-static const t_uint secp384r1_p[] = {
+#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
+static const mbedtls_mpi_uint secp384r1_p[] = {
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
     BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
@@ -226,7 +226,7 @@
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-static const t_uint secp384r1_b[] = {
+static const mbedtls_mpi_uint secp384r1_b[] = {
     BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
     BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
     BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
@@ -234,7 +234,7 @@
     BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
     BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
 };
-static const t_uint secp384r1_gx[] = {
+static const mbedtls_mpi_uint secp384r1_gx[] = {
     BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
     BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
     BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
@@ -242,7 +242,7 @@
     BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
     BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
 };
-static const t_uint secp384r1_gy[] = {
+static const mbedtls_mpi_uint secp384r1_gy[] = {
     BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
     BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
     BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
@@ -250,7 +250,7 @@
     BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
     BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
 };
-static const t_uint secp384r1_n[] = {
+static const mbedtls_mpi_uint secp384r1_n[] = {
     BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
     BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
     BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
@@ -258,13 +258,13 @@
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-#endif /* POLARSSL_ECP_DP_SECP384R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
 
 /*
  * Domain parameters for secp521r1
  */
-#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
-static const t_uint secp521r1_p[] = {
+#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
+static const mbedtls_mpi_uint secp521r1_p[] = {
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
@@ -275,7 +275,7 @@
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
 };
-static const t_uint secp521r1_b[] = {
+static const mbedtls_mpi_uint secp521r1_b[] = {
     BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
     BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
     BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
@@ -286,7 +286,7 @@
     BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
     BYTES_TO_T_UINT_2( 0x51, 0x00 ),
 };
-static const t_uint secp521r1_gx[] = {
+static const mbedtls_mpi_uint secp521r1_gx[] = {
     BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
     BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
     BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
@@ -297,7 +297,7 @@
     BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
     BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
 };
-static const t_uint secp521r1_gy[] = {
+static const mbedtls_mpi_uint secp521r1_gy[] = {
     BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
     BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
     BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
@@ -308,7 +308,7 @@
     BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
     BYTES_TO_T_UINT_2( 0x18, 0x01 ),
 };
-static const t_uint secp521r1_n[] = {
+static const mbedtls_mpi_uint secp521r1_n[] = {
     BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
     BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
     BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
@@ -319,150 +319,150 @@
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
 };
-#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
-static const t_uint secp192k1_p[] = {
+#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
+static const mbedtls_mpi_uint secp192k1_p[] = {
     BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-static const t_uint secp192k1_a[] = {
+static const mbedtls_mpi_uint secp192k1_a[] = {
     BYTES_TO_T_UINT_2( 0x00, 0x00 ),
 };
-static const t_uint secp192k1_b[] = {
+static const mbedtls_mpi_uint secp192k1_b[] = {
     BYTES_TO_T_UINT_2( 0x03, 0x00 ),
 };
-static const t_uint secp192k1_gx[] = {
+static const mbedtls_mpi_uint secp192k1_gx[] = {
     BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
     BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
     BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
 };
-static const t_uint secp192k1_gy[] = {
+static const mbedtls_mpi_uint secp192k1_gy[] = {
     BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
     BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
     BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
 };
-static const t_uint secp192k1_n[] = {
+static const mbedtls_mpi_uint secp192k1_n[] = {
     BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
     BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-#endif /* POLARSSL_ECP_DP_SECP192K1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
-static const t_uint secp224k1_p[] = {
+#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
+static const mbedtls_mpi_uint secp224k1_p[] = {
     BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-static const t_uint secp224k1_a[] = {
+static const mbedtls_mpi_uint secp224k1_a[] = {
     BYTES_TO_T_UINT_2( 0x00, 0x00 ),
 };
-static const t_uint secp224k1_b[] = {
+static const mbedtls_mpi_uint secp224k1_b[] = {
     BYTES_TO_T_UINT_2( 0x05, 0x00 ),
 };
-static const t_uint secp224k1_gx[] = {
+static const mbedtls_mpi_uint secp224k1_gx[] = {
     BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
     BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
     BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
     BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
 };
-static const t_uint secp224k1_gy[] = {
+static const mbedtls_mpi_uint secp224k1_gy[] = {
     BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
     BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
     BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
     BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
 };
-static const t_uint secp224k1_n[] = {
+static const mbedtls_mpi_uint secp224k1_n[] = {
     BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
     BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
     BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
     BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
 };
-#endif /* POLARSSL_ECP_DP_SECP224K1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
-static const t_uint secp256k1_p[] = {
+#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
+static const mbedtls_mpi_uint secp256k1_p[] = {
     BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-static const t_uint secp256k1_a[] = {
+static const mbedtls_mpi_uint secp256k1_a[] = {
     BYTES_TO_T_UINT_2( 0x00, 0x00 ),
 };
-static const t_uint secp256k1_b[] = {
+static const mbedtls_mpi_uint secp256k1_b[] = {
     BYTES_TO_T_UINT_2( 0x07, 0x00 ),
 };
-static const t_uint secp256k1_gx[] = {
+static const mbedtls_mpi_uint secp256k1_gx[] = {
     BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
     BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
     BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
     BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
 };
-static const t_uint secp256k1_gy[] = {
+static const mbedtls_mpi_uint secp256k1_gy[] = {
     BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
     BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
     BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
     BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
 };
-static const t_uint secp256k1_n[] = {
+static const mbedtls_mpi_uint secp256k1_n[] = {
     BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
     BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
     BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
     BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
 };
-#endif /* POLARSSL_ECP_DP_SECP256K1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
 
 /*
  * Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
  */
-#if defined(POLARSSL_ECP_DP_BP256R1_ENABLED)
-static const t_uint brainpoolP256r1_p[] = {
+#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
+static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
     BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
     BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
     BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
     BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
 };
-static const t_uint brainpoolP256r1_a[] = {
+static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
     BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
     BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
     BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
     BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
 };
-static const t_uint brainpoolP256r1_b[] = {
+static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
     BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
     BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
     BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
     BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
 };
-static const t_uint brainpoolP256r1_gx[] = {
+static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
     BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
     BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
     BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
     BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
 };
-static const t_uint brainpoolP256r1_gy[] = {
+static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
     BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
     BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
     BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
     BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
 };
-static const t_uint brainpoolP256r1_n[] = {
+static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
     BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
     BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
     BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
     BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
 };
-#endif /* POLARSSL_ECP_DP_BP256R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
 
 /*
  * Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
  */
-#if defined(POLARSSL_ECP_DP_BP384R1_ENABLED)
-static const t_uint brainpoolP384r1_p[] = {
+#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
+static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
     BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
     BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
     BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
@@ -470,7 +470,7 @@
     BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
     BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
 };
-static const t_uint brainpoolP384r1_a[] = {
+static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
     BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
     BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
     BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
@@ -478,7 +478,7 @@
     BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
     BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
 };
-static const t_uint brainpoolP384r1_b[] = {
+static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
     BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
     BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
     BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
@@ -486,7 +486,7 @@
     BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
     BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
 };
-static const t_uint brainpoolP384r1_gx[] = {
+static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
     BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
     BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
     BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
@@ -494,7 +494,7 @@
     BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
     BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
 };
-static const t_uint brainpoolP384r1_gy[] = {
+static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
     BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
     BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
     BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
@@ -502,7 +502,7 @@
     BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
     BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
 };
-static const t_uint brainpoolP384r1_n[] = {
+static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
     BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
     BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
     BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
@@ -510,13 +510,13 @@
     BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
     BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
 };
-#endif /* POLARSSL_ECP_DP_BP384R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
 
 /*
  * Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
  */
-#if defined(POLARSSL_ECP_DP_BP512R1_ENABLED)
-static const t_uint brainpoolP512r1_p[] = {
+#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
+static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
     BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
     BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
     BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
@@ -526,7 +526,7 @@
     BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
     BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
 };
-static const t_uint brainpoolP512r1_a[] = {
+static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
     BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
     BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
     BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
@@ -536,7 +536,7 @@
     BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
     BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
 };
-static const t_uint brainpoolP512r1_b[] = {
+static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
     BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
     BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
     BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
@@ -546,7 +546,7 @@
     BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
     BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
 };
-static const t_uint brainpoolP512r1_gx[] = {
+static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
     BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
     BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
     BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
@@ -556,7 +556,7 @@
     BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
     BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
 };
-static const t_uint brainpoolP512r1_gy[] = {
+static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
     BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
     BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
     BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
@@ -566,7 +566,7 @@
     BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
     BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
 };
-static const t_uint brainpoolP512r1_n[] = {
+static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
     BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
     BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
     BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
@@ -576,25 +576,25 @@
     BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
     BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
 };
-#endif /* POLARSSL_ECP_DP_BP512R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
 
 /*
  * Create an MPI from embedded constants
- * (assumes len is an exact multiple of sizeof t_uint)
+ * (assumes len is an exact multiple of sizeof mbedtls_mpi_uint)
  */
-static inline void ecp_mpi_load( mpi *X, const t_uint *p, size_t len )
+static inline void ecp_mpi_load( mbedtls_mpi *X, const mbedtls_mpi_uint *p, size_t len )
 {
     X->s = 1;
-    X->n = len / sizeof( t_uint );
-    X->p = (t_uint *) p;
+    X->n = len / sizeof( mbedtls_mpi_uint );
+    X->p = (mbedtls_mpi_uint *) p;
 }
 
 /*
  * Set an MPI to static value 1
  */
-static inline void ecp_mpi_set1( mpi *X )
+static inline void ecp_mpi_set1( mbedtls_mpi *X )
 {
-    static t_uint one[] = { 1 };
+    static mbedtls_mpi_uint one[] = { 1 };
     X->s = 1;
     X->n = 1;
     X->p = one;
@@ -603,13 +603,13 @@
 /*
  * Make group available from embedded constants
  */
-static int ecp_group_load( ecp_group *grp,
-                           const t_uint *p,  size_t plen,
-                           const t_uint *a,  size_t alen,
-                           const t_uint *b,  size_t blen,
-                           const t_uint *gx, size_t gxlen,
-                           const t_uint *gy, size_t gylen,
-                           const t_uint *n,  size_t nlen)
+static int ecp_group_load( mbedtls_ecp_group *grp,
+                           const mbedtls_mpi_uint *p,  size_t plen,
+                           const mbedtls_mpi_uint *a,  size_t alen,
+                           const mbedtls_mpi_uint *b,  size_t blen,
+                           const mbedtls_mpi_uint *gx, size_t gxlen,
+                           const mbedtls_mpi_uint *gy, size_t gylen,
+                           const mbedtls_mpi_uint *n,  size_t nlen)
 {
     ecp_mpi_load( &grp->P, p, plen );
     if( a != NULL )
@@ -621,49 +621,49 @@
     ecp_mpi_load( &grp->G.Y, gy, gylen );
     ecp_mpi_set1( &grp->G.Z );
 
-    grp->pbits = mpi_msb( &grp->P );
-    grp->nbits = mpi_msb( &grp->N );
+    grp->pbits = mbedtls_mpi_msb( &grp->P );
+    grp->nbits = mbedtls_mpi_msb( &grp->N );
 
     grp->h = 1;
 
     return( 0 );
 }
 
-#if defined(POLARSSL_ECP_NIST_OPTIM)
+#if defined(MBEDTLS_ECP_NIST_OPTIM)
 /* Forward declarations */
-#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
-static int ecp_mod_p192( mpi * );
+#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
+static int ecp_mod_p192( mbedtls_mpi * );
 #endif
-#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
-static int ecp_mod_p224( mpi * );
+#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
+static int ecp_mod_p224( mbedtls_mpi * );
 #endif
-#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
-static int ecp_mod_p256( mpi * );
+#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
+static int ecp_mod_p256( mbedtls_mpi * );
 #endif
-#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
-static int ecp_mod_p384( mpi * );
+#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
+static int ecp_mod_p384( mbedtls_mpi * );
 #endif
-#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
-static int ecp_mod_p521( mpi * );
+#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
+static int ecp_mod_p521( mbedtls_mpi * );
 #endif
 
 #define NIST_MODP( P )      grp->modp = ecp_mod_ ## P;
 #else
 #define NIST_MODP( P )
-#endif /* POLARSSL_ECP_NIST_OPTIM */
+#endif /* MBEDTLS_ECP_NIST_OPTIM */
 
 /* Additional forward declarations */
-#if defined(POLARSSL_ECP_DP_M255_ENABLED)
-static int ecp_mod_p255( mpi * );
+#if defined(MBEDTLS_ECP_DP_M255_ENABLED)
+static int ecp_mod_p255( mbedtls_mpi * );
 #endif
-#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
-static int ecp_mod_p192k1( mpi * );
+#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
+static int ecp_mod_p192k1( mbedtls_mpi * );
 #endif
-#if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
-static int ecp_mod_p224k1( mpi * );
+#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
+static int ecp_mod_p224k1( mbedtls_mpi * );
 #endif
-#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
-static int ecp_mod_p256k1( mpi * );
+#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
+static int ecp_mod_p256k1( mbedtls_mpi * );
 #endif
 
 #define LOAD_GROUP_A( G )   ecp_group_load( grp,            \
@@ -682,127 +682,127 @@
                             G ## _gy, sizeof( G ## _gy ),   \
                             G ## _n,  sizeof( G ## _n  ) )
 
-#if defined(POLARSSL_ECP_DP_M255_ENABLED)
+#if defined(MBEDTLS_ECP_DP_M255_ENABLED)
 /*
  * Specialized function for creating the Curve25519 group
  */
-static int ecp_use_curve25519( ecp_group *grp )
+static int ecp_use_curve25519( mbedtls_ecp_group *grp )
 {
     int ret;
 
     /* Actually ( A + 2 ) / 4 */
-    MPI_CHK( mpi_read_string( &grp->A, 16, "01DB42" ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "01DB42" ) );
 
     /* P = 2^255 - 19 */
-    MPI_CHK( mpi_lset( &grp->P, 1 ) );
-    MPI_CHK( mpi_shift_l( &grp->P, 255 ) );
-    MPI_CHK( mpi_sub_int( &grp->P, &grp->P, 19 ) );
-    grp->pbits = mpi_msb( &grp->P );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 255 ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 19 ) );
+    grp->pbits = mbedtls_mpi_msb( &grp->P );
 
     /* Y intentionaly not set, since we use x/z coordinates.
      * This is used as a marker to identify Montgomery curves! */
-    MPI_CHK( mpi_lset( &grp->G.X, 9 ) );
-    MPI_CHK( mpi_lset( &grp->G.Z, 1 ) );
-    mpi_free( &grp->G.Y );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 9 ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
+    mbedtls_mpi_free( &grp->G.Y );
 
     /* Actually, the required msb for private keys */
     grp->nbits = 254;
 
 cleanup:
     if( ret != 0 )
-        ecp_group_free( grp );
+        mbedtls_ecp_group_free( grp );
 
     return( ret );
 }
-#endif /* POLARSSL_ECP_DP_M255_ENABLED */
+#endif /* MBEDTLS_ECP_DP_M255_ENABLED */
 
 /*
  * Set a group using well-known domain parameters
  */
-int ecp_use_known_dp( ecp_group *grp, ecp_group_id id )
+int mbedtls_ecp_use_known_dp( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id )
 {
-    ecp_group_free( grp );
+    mbedtls_ecp_group_free( grp );
 
     grp->id = id;
 
     switch( id )
     {
-#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
-        case POLARSSL_ECP_DP_SECP192R1:
+#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
+        case MBEDTLS_ECP_DP_SECP192R1:
             NIST_MODP( p192 );
             return( LOAD_GROUP( secp192r1 ) );
-#endif /* POLARSSL_ECP_DP_SECP192R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
-        case POLARSSL_ECP_DP_SECP224R1:
+#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
+        case MBEDTLS_ECP_DP_SECP224R1:
             NIST_MODP( p224 );
             return( LOAD_GROUP( secp224r1 ) );
-#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
-        case POLARSSL_ECP_DP_SECP256R1:
+#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
+        case MBEDTLS_ECP_DP_SECP256R1:
             NIST_MODP( p256 );
             return( LOAD_GROUP( secp256r1 ) );
-#endif /* POLARSSL_ECP_DP_SECP256R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
-        case POLARSSL_ECP_DP_SECP384R1:
+#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
+        case MBEDTLS_ECP_DP_SECP384R1:
             NIST_MODP( p384 );
             return( LOAD_GROUP( secp384r1 ) );
-#endif /* POLARSSL_ECP_DP_SECP384R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
-        case POLARSSL_ECP_DP_SECP521R1:
+#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
+        case MBEDTLS_ECP_DP_SECP521R1:
             NIST_MODP( p521 );
             return( LOAD_GROUP( secp521r1 ) );
-#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
-        case POLARSSL_ECP_DP_SECP192K1:
+#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
+        case MBEDTLS_ECP_DP_SECP192K1:
             grp->modp = ecp_mod_p192k1;
             return( LOAD_GROUP_A( secp192k1 ) );
-#endif /* POLARSSL_ECP_DP_SECP192K1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
-        case POLARSSL_ECP_DP_SECP224K1:
+#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
+        case MBEDTLS_ECP_DP_SECP224K1:
             grp->modp = ecp_mod_p224k1;
             return( LOAD_GROUP_A( secp224k1 ) );
-#endif /* POLARSSL_ECP_DP_SECP224K1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
-        case POLARSSL_ECP_DP_SECP256K1:
+#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
+        case MBEDTLS_ECP_DP_SECP256K1:
             grp->modp = ecp_mod_p256k1;
             return( LOAD_GROUP_A( secp256k1 ) );
-#endif /* POLARSSL_ECP_DP_SECP256K1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_BP256R1_ENABLED)
-        case POLARSSL_ECP_DP_BP256R1:
+#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
+        case MBEDTLS_ECP_DP_BP256R1:
             return( LOAD_GROUP_A( brainpoolP256r1 ) );
-#endif /* POLARSSL_ECP_DP_BP256R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_BP384R1_ENABLED)
-        case POLARSSL_ECP_DP_BP384R1:
+#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
+        case MBEDTLS_ECP_DP_BP384R1:
             return( LOAD_GROUP_A( brainpoolP384r1 ) );
-#endif /* POLARSSL_ECP_DP_BP384R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_BP512R1_ENABLED)
-        case POLARSSL_ECP_DP_BP512R1:
+#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
+        case MBEDTLS_ECP_DP_BP512R1:
             return( LOAD_GROUP_A( brainpoolP512r1 ) );
-#endif /* POLARSSL_ECP_DP_BP512R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_M255_ENABLED)
-        case POLARSSL_ECP_DP_M255:
+#if defined(MBEDTLS_ECP_DP_M255_ENABLED)
+        case MBEDTLS_ECP_DP_M255:
             grp->modp = ecp_mod_p255;
             return( ecp_use_curve25519( grp ) );
-#endif /* POLARSSL_ECP_DP_M255_ENABLED */
+#endif /* MBEDTLS_ECP_DP_M255_ENABLED */
 
         default:
-            ecp_group_free( grp );
-            return( POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE );
+            mbedtls_ecp_group_free( grp );
+            return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
     }
 }
 
-#if defined(POLARSSL_ECP_NIST_OPTIM)
+#if defined(MBEDTLS_ECP_NIST_OPTIM)
 /*
  * Fast reduction modulo the primes used by the NIST curves.
  *
@@ -813,7 +813,7 @@
  * MPI remains loose, since these functions can be deactivated at will.
  */
 
-#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
+#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
 /*
  * Compared to the way things are presented in FIPS 186-3 D.2,
  * we proceed in columns, from right (least significant chunk) to left,
@@ -822,16 +822,16 @@
  * compared to the more straightforward, line-oriented approach.
  *
  * For this prime we need to handle data in chunks of 64 bits.
- * Since this is always a multiple of our basic t_uint, we can
- * use a t_uint * to designate such a chunk, and small loops to handle it.
+ * Since this is always a multiple of our basic mbedtls_mpi_uint, we can
+ * use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
  */
 
 /* Add 64-bit chunks (dst += src) and update carry */
-static inline void add64( t_uint *dst, t_uint *src, t_uint *carry )
+static inline void add64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *src, mbedtls_mpi_uint *carry )
 {
     unsigned char i;
-    t_uint c = 0;
-    for( i = 0; i < 8 / sizeof( t_uint ); i++, dst++, src++ )
+    mbedtls_mpi_uint c = 0;
+    for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++, src++ )
     {
         *dst += c;      c  = ( *dst < c );
         *dst += *src;   c += ( *dst < *src );
@@ -840,17 +840,17 @@
 }
 
 /* Add carry to a 64-bit chunk and update carry */
-static inline void carry64( t_uint *dst, t_uint *carry )
+static inline void carry64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry )
 {
     unsigned char i;
-    for( i = 0; i < 8 / sizeof( t_uint ); i++, dst++ )
+    for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++ )
     {
         *dst += *carry;
         *carry  = ( *dst < *carry );
     }
 }
 
-#define WIDTH       8 / sizeof( t_uint )
+#define WIDTH       8 / sizeof( mbedtls_mpi_uint )
 #define A( i )      N->p + i * WIDTH
 #define ADD( i )    add64( p, A( i ), &c )
 #define NEXT        p += WIDTH; carry64( p, &c )
@@ -859,14 +859,14 @@
 /*
  * Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
  */
-static int ecp_mod_p192( mpi *N )
+static int ecp_mod_p192( mbedtls_mpi *N )
 {
     int ret;
-    t_uint c = 0;
-    t_uint *p, *end;
+    mbedtls_mpi_uint c = 0;
+    mbedtls_mpi_uint *p, *end;
 
     /* Make sure we have enough blocks so that A(5) is legal */
-    MPI_CHK( mpi_grow( N, 6 * WIDTH ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, 6 * WIDTH ) );
 
     p = N->p;
     end = p + N->n;
@@ -884,11 +884,11 @@
 #undef ADD
 #undef NEXT
 #undef LAST
-#endif /* POLARSSL_ECP_DP_SECP192R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED) ||   \
-    defined(POLARSSL_ECP_DP_SECP256R1_ENABLED) ||   \
-    defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
+#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) ||   \
+    defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) ||   \
+    defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
 /*
  * The reader is advised to first understand ecp_mod_p192() since the same
  * general structure is used here, but with additional complications:
@@ -907,26 +907,26 @@
  */
 #define LOAD32      cur = A( i );
 
-#if defined(POLARSSL_HAVE_INT8)     /* 8 bit */
+#if defined(MBEDTLS_HAVE_INT8)     /* 8 bit */
 
 #define MAX32       N->n / 4
 #define A( j )      (uint32_t)( N->p[4*j+0]       ) |  \
                               ( N->p[4*j+1] << 8  ) |  \
                               ( N->p[4*j+2] << 16 ) |  \
                               ( N->p[4*j+3] << 24 )
-#define STORE32     N->p[4*i+0] = (t_uint)( cur       );   \
-                    N->p[4*i+1] = (t_uint)( cur >> 8  );   \
-                    N->p[4*i+2] = (t_uint)( cur >> 16 );   \
-                    N->p[4*i+3] = (t_uint)( cur >> 24 );
+#define STORE32     N->p[4*i+0] = (mbedtls_mpi_uint)( cur       );   \
+                    N->p[4*i+1] = (mbedtls_mpi_uint)( cur >> 8  );   \
+                    N->p[4*i+2] = (mbedtls_mpi_uint)( cur >> 16 );   \
+                    N->p[4*i+3] = (mbedtls_mpi_uint)( cur >> 24 );
 
-#elif defined(POLARSSL_HAVE_INT16)  /* 16 bit */
+#elif defined(MBEDTLS_HAVE_INT16)  /* 16 bit */
 
 #define MAX32       N->n / 2
 #define A( j )      (uint32_t)( N->p[2*j] ) | ( N->p[2*j+1] << 16 )
-#define STORE32     N->p[2*i+0] = (t_uint)( cur       );  \
-                    N->p[2*i+1] = (t_uint)( cur >> 16 );
+#define STORE32     N->p[2*i+0] = (mbedtls_mpi_uint)( cur       );  \
+                    N->p[2*i+1] = (mbedtls_mpi_uint)( cur >> 16 );
 
-#elif defined(POLARSSL_HAVE_INT32)  /* 32 bit */
+#elif defined(MBEDTLS_HAVE_INT32)  /* 32 bit */
 
 #define MAX32       N->n
 #define A( j )      N->p[j]
@@ -939,13 +939,13 @@
 #define STORE32                                   \
     if( i % 2 ) {                                 \
         N->p[i/2] &= 0x00000000FFFFFFFF;          \
-        N->p[i/2] |= ((t_uint) cur) << 32;        \
+        N->p[i/2] |= ((mbedtls_mpi_uint) cur) << 32;        \
     } else {                                      \
         N->p[i/2] &= 0xFFFFFFFF00000000;          \
-        N->p[i/2] |= (t_uint) cur;                \
+        N->p[i/2] |= (mbedtls_mpi_uint) cur;                \
     }
 
-#endif /* sizeof( t_uint ) */
+#endif /* sizeof( mbedtls_mpi_uint ) */
 
 /*
  * Helpers for addition and subtraction of chunks, with signed carry.
@@ -974,15 +974,15 @@
     signed char c = 0, cc;                                  \
     uint32_t cur;                                           \
     size_t i = 0, bits = b;                                 \
-    mpi C;                                                  \
-    t_uint Cp[ b / 8 / sizeof( t_uint) + 1 ];               \
+    mbedtls_mpi C;                                                  \
+    mbedtls_mpi_uint Cp[ b / 8 / sizeof( mbedtls_mpi_uint) + 1 ];               \
                                                             \
     C.s = 1;                                                \
-    C.n = b / 8 / sizeof( t_uint) + 1;                      \
+    C.n = b / 8 / sizeof( mbedtls_mpi_uint) + 1;                      \
     C.p = Cp;                                               \
-    memset( Cp, 0, C.n * sizeof( t_uint ) );                \
+    memset( Cp, 0, C.n * sizeof( mbedtls_mpi_uint ) );                \
                                                             \
-    MPI_CHK( mpi_grow( N, b * 2 / 8 / sizeof( t_uint ) ) ); \
+    MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, b * 2 / 8 / sizeof( mbedtls_mpi_uint ) ) ); \
     LOAD32;
 
 #define NEXT                    \
@@ -1003,22 +1003,22 @@
  * If the result is negative, we get it in the form
  * c * 2^(bits + 32) + N, with c negative and N positive shorter than 'bits'
  */
-static inline int fix_negative( mpi *N, signed char c, mpi *C, size_t bits )
+static inline int fix_negative( mbedtls_mpi *N, signed char c, mbedtls_mpi *C, size_t bits )
 {
     int ret;
 
     /* C = - c * 2^(bits + 32) */
-#if !defined(POLARSSL_HAVE_INT64)
+#if !defined(MBEDTLS_HAVE_INT64)
     ((void) bits);
 #else
     if( bits == 224 )
-        C->p[ C->n - 1 ] = ((t_uint) -c) << 32;
+        C->p[ C->n - 1 ] = ((mbedtls_mpi_uint) -c) << 32;
     else
 #endif
-        C->p[ C->n - 1 ] = (t_uint) -c;
+        C->p[ C->n - 1 ] = (mbedtls_mpi_uint) -c;
 
     /* N = - ( C - N ) */
-    MPI_CHK( mpi_sub_abs( N, C, N ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( N, C, N ) );
     N->s = -1;
 
 cleanup:
@@ -1026,11 +1026,11 @@
     return( ret );
 }
 
-#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
+#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
 /*
  * Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
  */
-static int ecp_mod_p224( mpi *N )
+static int ecp_mod_p224( mbedtls_mpi *N )
 {
     INIT( 224 );
 
@@ -1045,13 +1045,13 @@
 cleanup:
     return( ret );
 }
-#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
+#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
 /*
  * Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
  */
-static int ecp_mod_p256( mpi *N )
+static int ecp_mod_p256( mbedtls_mpi *N )
 {
     INIT( 256 );
 
@@ -1082,13 +1082,13 @@
 cleanup:
     return( ret );
 }
-#endif /* POLARSSL_ECP_DP_SECP256R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
+#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
 /*
  * Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
  */
-static int ecp_mod_p384( mpi *N )
+static int ecp_mod_p384( mbedtls_mpi *N )
 {
     INIT( 384 );
 
@@ -1131,7 +1131,7 @@
 cleanup:
     return( ret );
 }
-#endif /* POLARSSL_ECP_DP_SECP384R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
 
 #undef A
 #undef LOAD32
@@ -1141,21 +1141,21 @@
 #undef NEXT
 #undef LAST
 
-#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED ||
-          POLARSSL_ECP_DP_SECP256R1_ENABLED ||
-          POLARSSL_ECP_DP_SECP384R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED ||
+          MBEDTLS_ECP_DP_SECP256R1_ENABLED ||
+          MBEDTLS_ECP_DP_SECP384R1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
+#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
 /*
  * Here we have an actual Mersenne prime, so things are more straightforward.
  * However, chunks are aligned on a 'weird' boundary (521 bits).
  */
 
-/* Size of p521 in terms of t_uint */
-#define P521_WIDTH      ( 521 / 8 / sizeof( t_uint ) + 1 )
+/* Size of p521 in terms of mbedtls_mpi_uint */
+#define P521_WIDTH      ( 521 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
 
-/* Bits to keep in the most significant t_uint */
-#if defined(POLARSSL_HAVE_INT8)
+/* Bits to keep in the most significant mbedtls_mpi_uint */
+#if defined(MBEDTLS_HAVE_INT8)
 #define P521_MASK       0x01
 #else
 #define P521_MASK       0x01FF
@@ -1165,13 +1165,13 @@
  * Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
  * Write N as A1 + 2^521 A0, return A0 + A1
  */
-static int ecp_mod_p521( mpi *N )
+static int ecp_mod_p521( mbedtls_mpi *N )
 {
     int ret;
     size_t i;
-    mpi M;
-    t_uint Mp[P521_WIDTH + 1];
-    /* Worst case for the size of M is when t_uint is 16 bits:
+    mbedtls_mpi M;
+    mbedtls_mpi_uint Mp[P521_WIDTH + 1];
+    /* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
      * we need to hold bits 513 to 1056, which is 34 limbs, that is
      * P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
 
@@ -1184,8 +1184,8 @@
     if( M.n > P521_WIDTH + 1 )
         M.n = P521_WIDTH + 1;
     M.p = Mp;
-    memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( t_uint ) );
-    MPI_CHK( mpi_shift_r( &M, 521 % ( 8 * sizeof( t_uint ) ) ) );
+    memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 521 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
 
     /* N = A0 */
     N->p[P521_WIDTH - 1] &= P521_MASK;
@@ -1193,7 +1193,7 @@
         N->p[i] = 0;
 
     /* N = A0 + A1 */
-    MPI_CHK( mpi_add_abs( N, N, &M ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
 
 cleanup:
     return( ret );
@@ -1201,25 +1201,25 @@
 
 #undef P521_WIDTH
 #undef P521_MASK
-#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
 
-#endif /* POLARSSL_ECP_NIST_OPTIM */
+#endif /* MBEDTLS_ECP_NIST_OPTIM */
 
-#if defined(POLARSSL_ECP_DP_M255_ENABLED)
+#if defined(MBEDTLS_ECP_DP_M255_ENABLED)
 
-/* Size of p255 in terms of t_uint */
-#define P255_WIDTH      ( 255 / 8 / sizeof( t_uint ) + 1 )
+/* Size of p255 in terms of mbedtls_mpi_uint */
+#define P255_WIDTH      ( 255 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
 
 /*
  * Fast quasi-reduction modulo p255 = 2^255 - 19
  * Write N as A0 + 2^255 A1, return A0 + 19 * A1
  */
-static int ecp_mod_p255( mpi *N )
+static int ecp_mod_p255( mbedtls_mpi *N )
 {
     int ret;
     size_t i;
-    mpi M;
-    t_uint Mp[P255_WIDTH + 2];
+    mbedtls_mpi M;
+    mbedtls_mpi_uint Mp[P255_WIDTH + 2];
 
     if( N->n < P255_WIDTH )
         return( 0 );
@@ -1231,27 +1231,27 @@
         M.n = P255_WIDTH + 1;
     M.p = Mp;
     memset( Mp, 0, sizeof Mp );
-    memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( t_uint ) );
-    MPI_CHK( mpi_shift_r( &M, 255 % ( 8 * sizeof( t_uint ) ) ) );
+    memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 255 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
     M.n++; /* Make room for multiplication by 19 */
 
     /* N = A0 */
-    MPI_CHK( mpi_set_bit( N, 255, 0 ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( N, 255, 0 ) );
     for( i = P255_WIDTH; i < N->n; i++ )
         N->p[i] = 0;
 
     /* N = A0 + 19 * A1 */
-    MPI_CHK( mpi_mul_int( &M, &M, 19 ) );
-    MPI_CHK( mpi_add_abs( N, N, &M ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &M, &M, 19 ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
 
 cleanup:
     return( ret );
 }
-#endif /* POLARSSL_ECP_DP_M255_ENABLED */
+#endif /* MBEDTLS_ECP_DP_M255_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED) ||   \
-    defined(POLARSSL_ECP_DP_SECP224K1_ENABLED) ||   \
-    defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
+#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) ||   \
+    defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) ||   \
+    defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
 /*
  * Fast quasi-reduction modulo P = 2^s - R,
  * with R about 33 bits, used by the Koblitz curves.
@@ -1259,15 +1259,15 @@
  * Write N as A0 + 2^224 A1, return A0 + R * A1.
  * Actually do two passes, since R is big.
  */
-#define P_KOBLITZ_MAX   ( 256 / 8 / sizeof( t_uint ) )  // Max limbs in P
-#define P_KOBLITZ_R     ( 8 / sizeof( t_uint ) )        // Limbs in R
-static inline int ecp_mod_koblitz( mpi *N, t_uint *Rp, size_t p_limbs,
-                                   size_t adjust, size_t shift, t_uint mask )
+#define P_KOBLITZ_MAX   ( 256 / 8 / sizeof( mbedtls_mpi_uint ) )  // Max limbs in P
+#define P_KOBLITZ_R     ( 8 / sizeof( mbedtls_mpi_uint ) )        // Limbs in R
+static inline int ecp_mod_koblitz( mbedtls_mpi *N, mbedtls_mpi_uint *Rp, size_t p_limbs,
+                                   size_t adjust, size_t shift, mbedtls_mpi_uint mask )
 {
     int ret;
     size_t i;
-    mpi M, R;
-    t_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R];
+    mbedtls_mpi M, R;
+    mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R];
 
     if( N->n < p_limbs )
         return( 0 );
@@ -1286,9 +1286,9 @@
     if( M.n > p_limbs + adjust )
         M.n = p_limbs + adjust;
     memset( Mp, 0, sizeof Mp );
-    memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( t_uint ) );
+    memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
     if( shift != 0 )
-        MPI_CHK( mpi_shift_r( &M, shift ) );
+        MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
     M.n += R.n - adjust; /* Make room for multiplication by R */
 
     /* N = A0 */
@@ -1298,8 +1298,8 @@
         N->p[i] = 0;
 
     /* N = A0 + R * A1 */
-    MPI_CHK( mpi_mul_mpi( &M, &M, &R ) );
-    MPI_CHK( mpi_add_abs( N, N, &M ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
 
     /* Second pass */
 
@@ -1308,9 +1308,9 @@
     if( M.n > p_limbs + adjust )
         M.n = p_limbs + adjust;
     memset( Mp, 0, sizeof Mp );
-    memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( t_uint ) );
+    memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
     if( shift != 0 )
-        MPI_CHK( mpi_shift_r( &M, shift ) );
+        MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
     M.n += R.n - adjust; /* Make room for multiplication by R */
 
     /* N = A0 */
@@ -1320,60 +1320,60 @@
         N->p[i] = 0;
 
     /* N = A0 + R * A1 */
-    MPI_CHK( mpi_mul_mpi( &M, &M, &R ) );
-    MPI_CHK( mpi_add_abs( N, N, &M ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
+    MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
 
 cleanup:
     return( ret );
 }
-#endif /* POLARSSL_ECP_DP_SECP192K1_ENABLED) ||
-          POLARSSL_ECP_DP_SECP224K1_ENABLED) ||
-          POLARSSL_ECP_DP_SECP256K1_ENABLED) */
+#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) ||
+          MBEDTLS_ECP_DP_SECP224K1_ENABLED) ||
+          MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
 
-#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
+#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
 /*
  * Fast quasi-reduction modulo p192k1 = 2^192 - R,
  * with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
  */
-static int ecp_mod_p192k1( mpi *N )
+static int ecp_mod_p192k1( mbedtls_mpi *N )
 {
-    static t_uint Rp[] = {
+    static mbedtls_mpi_uint Rp[] = {
         BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
 
-    return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( t_uint ), 0, 0, 0 ) );
+    return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
 }
-#endif /* POLARSSL_ECP_DP_SECP192K1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
+#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
 /*
  * Fast quasi-reduction modulo p224k1 = 2^224 - R,
  * with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
  */
-static int ecp_mod_p224k1( mpi *N )
+static int ecp_mod_p224k1( mbedtls_mpi *N )
 {
-    static t_uint Rp[] = {
+    static mbedtls_mpi_uint Rp[] = {
         BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
 
-#if defined(POLARSSL_HAVE_INT64)
+#if defined(MBEDTLS_HAVE_INT64)
     return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
 #else
-    return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( t_uint ), 0, 0, 0 ) );
+    return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
 #endif
 }
 
-#endif /* POLARSSL_ECP_DP_SECP224K1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
 
-#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
+#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
 /*
  * Fast quasi-reduction modulo p256k1 = 2^256 - R,
  * with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
  */
-static int ecp_mod_p256k1( mpi *N )
+static int ecp_mod_p256k1( mbedtls_mpi *N )
 {
-    static t_uint Rp[] = {
+    static mbedtls_mpi_uint Rp[] = {
         BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
-    return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( t_uint ), 0, 0, 0 ) );
+    return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
 }
-#endif /* POLARSSL_ECP_DP_SECP256K1_ENABLED */
+#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
 
-#endif /* POLARSSL_ECP_C */
+#endif /* MBEDTLS_ECP_C */