support e=65537 for libmincrypt, DumpPublicKey

The output produced by DumpPublicKey now has a version tag on each
line (ie, each key).  The existing keys are retroactively dubbed
"version 1", and we add a version 2 for 2048-bit e=65537 keys.

Change-Id: I204ec615c8f2346670220a1aeb99269e4abd5f81
diff --git a/libmincrypt/rsa.c b/libmincrypt/rsa.c
index d7124fb..b4ee6af 100644
--- a/libmincrypt/rsa.c
+++ b/libmincrypt/rsa.c
@@ -1,6 +1,6 @@
 /* rsa.c
 **
-** Copyright 2008, The Android Open Source Project
+** Copyright 2012, The Android Open Source Project
 **
 ** Redistribution and use in source and binary forms, with or without
 ** modification, are permitted provided that the following conditions are met:
@@ -13,186 +13,42 @@
 **       be used to endorse or promote products derived from this software
 **       without specific prior written permission.
 **
-** THIS SOFTWARE IS PROVIDED BY Google Inc. ``AS IS'' AND ANY EXPRESS OR 
+** THIS SOFTWARE IS PROVIDED BY Google Inc. ``AS IS'' AND ANY EXPRESS OR
 ** IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
-** MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO 
+** MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO
 ** EVENT SHALL Google Inc. BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
 ** SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-** PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; 
-** OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, 
-** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR 
+** PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
+** OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
+** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
 ** OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
 ** ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */
 
 #include "mincrypt/rsa.h"
-#include "mincrypt/sha.h"
 
-/* a[] -= mod */
-static void subM(const RSAPublicKey *key, uint32_t *a) {
-    int64_t A = 0;
-    int i;
-    for (i = 0; i < key->len; ++i) {
-        A += (uint64_t)a[i] - key->n[i];
-        a[i] = (uint32_t)A;
-        A >>= 32;
-    }
-}
+int RSA_e_f4_verify(const RSAPublicKey* key,
+                    const uint8_t* signature,
+                    const int len,
+                    const uint8_t* sha);
 
-/* return a[] >= mod */
-static int geM(const RSAPublicKey *key, const uint32_t *a) {
-    int i;
-    for (i = key->len; i;) {
-        --i;
-        if (a[i] < key->n[i]) return 0;
-        if (a[i] > key->n[i]) return 1;
-    }
-    return 1;  /* equal */
-}
+int RSA_e_3_verify(const RSAPublicKey *key,
+                   const uint8_t *signature,
+                   const int len,
+                   const uint8_t *sha);
 
-/* montgomery c[] += a * b[] / R % mod */
-static void montMulAdd(const RSAPublicKey *key,
-                       uint32_t* c,
-                       const uint32_t a,
-                       const uint32_t* b) {
-    uint64_t A = (uint64_t)a * b[0] + c[0];
-    uint32_t d0 = (uint32_t)A * key->n0inv;
-    uint64_t B = (uint64_t)d0 * key->n[0] + (uint32_t)A;
-    int i;
-
-    for (i = 1; i < key->len; ++i) {
-        A = (A >> 32) + (uint64_t)a * b[i] + c[i];
-        B = (B >> 32) + (uint64_t)d0 * key->n[i] + (uint32_t)A;
-        c[i - 1] = (uint32_t)B;
-    }
-
-    A = (A >> 32) + (B >> 32);
-
-    c[i - 1] = (uint32_t)A;
-
-    if (A >> 32) {
-        subM(key, c);
-    }
-}
-
-/* montgomery c[] = a[] * b[] / R % mod */
-static void montMul(const RSAPublicKey *key,
-                    uint32_t* c,
-                    const uint32_t* a,
-                    const uint32_t* b) {
-    int i;
-    for (i = 0; i < key->len; ++i) {
-        c[i] = 0;
-    }
-    for (i = 0; i < key->len; ++i) {
-        montMulAdd(key, c, a[i], b);
-    }
-}
-
-/* In-place public exponentiation.
-** Input and output big-endian byte array in inout.
-*/
-static void modpow3(const RSAPublicKey *key,
-                    uint8_t* inout) {
-    uint32_t a[RSANUMWORDS];
-    uint32_t aR[RSANUMWORDS];
-    uint32_t aaR[RSANUMWORDS];
-    uint32_t *aaa = aR;  /* Re-use location. */
-    int i;
-
-    /* Convert from big endian byte array to little endian word array. */
-    for (i = 0; i < key->len; ++i) {
-        uint32_t tmp =
-            (inout[((key->len - 1 - i) * 4) + 0] << 24) |
-            (inout[((key->len - 1 - i) * 4) + 1] << 16) |
-            (inout[((key->len - 1 - i) * 4) + 2] << 8) |
-            (inout[((key->len - 1 - i) * 4) + 3] << 0);
-        a[i] = tmp;
-    }
-
-    montMul(key, aR, a, key->rr);  /* aR = a * RR / R mod M   */
-    montMul(key, aaR, aR, aR);     /* aaR = aR * aR / R mod M */
-    montMul(key, aaa, aaR, a);     /* aaa = aaR * a / R mod M */
-
-    /* Make sure aaa < mod; aaa is at most 1x mod too large. */
-    if (geM(key, aaa)) {
-        subM(key, aaa);
-    }
-
-    /* Convert to bigendian byte array */
-    for (i = key->len - 1; i >= 0; --i) {
-        uint32_t tmp = aaa[i];
-        *inout++ = tmp >> 24;
-        *inout++ = tmp >> 16;
-        *inout++ = tmp >> 8;
-        *inout++ = tmp >> 0;
-    }
-}
-
-/* Expected PKCS1.5 signature padding bytes, for a keytool RSA signature.
-** Has the 0-length optional parameter encoded in the ASN1 (as opposed to the
-** other flavor which omits the optional parameter entirely). This code does not
-** accept signatures without the optional parameter.
-*/
-static const uint8_t padding[RSANUMBYTES - SHA_DIGEST_SIZE] = {
-    0x00,0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
-    0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,
-    0x30,0x21,0x30,0x09,0x06,0x05,0x2b,0x0e,0x03,0x02,0x1a,0x05,0x00,
-    0x04,0x14
-};
-
-/* Verify a 2048 bit RSA PKCS1.5 signature against an expected SHA-1 hash.
-** Returns 0 on failure, 1 on success.
-*/
 int RSA_verify(const RSAPublicKey *key,
                const uint8_t *signature,
                const int len,
                const uint8_t *sha) {
-    uint8_t buf[RSANUMBYTES];
-    int i;
-
-    if (key->len != RSANUMWORDS) {
-        return 0;  /* Wrong key passed in. */
-    }
-
-    if (len != sizeof(buf)) {
-        return 0;  /* Wrong input length. */
-    }
-
-    for (i = 0; i < len; ++i) {
-        buf[i] = signature[i];
-    }
-
-    modpow3(key, buf);
-
-    /* Check pkcs1.5 padding bytes. */
-    for (i = 0; i < (int) sizeof(padding); ++i) {
-        if (buf[i] != padding[i]) {
+    switch (key->exponent) {
+        case 3:
+            return RSA_e_3_verify(key, signature, len, sha);
+            break;
+        case 65537:
+            return RSA_e_f4_verify(key, signature, len, sha);
+            break;
+        default:
             return 0;
-        }
     }
-
-    /* Check sha digest matches. */
-    for (; i < len; ++i) {
-        if (buf[i] != *sha++) {
-            return 0;
-        }
-    }
-
-    return 1;
 }