Merge branch 'ed25519_ref10_squashed'

Conflicts:
	src/common/include.am
	src/ext/README

.gitignore

@@ -138,6 +138,10 @@ cscope.*
 /src/config/torrc.sample
 /src/config/torrc.minimal
 
+# /src/ext/
+/src/ext/ed25519/ref10/libed25519_ref10.a
+/src/ext/ed25519/ref10/libed25519_ref10.lib
+
 # /src/or/
 /src/or/Makefile
 /src/or/Makefile.in

src/common/crypto_curve25519.c

@@ -8,6 +8,7 @@
 #ifdef HAVE_SYS_STAT_H
 #include <sys/stat.h>
 #endif
+#include "container.h"
 #include "crypto.h"
 #include "crypto_curve25519.h"
 #include "util.h"
@@ -63,26 +64,44 @@ curve25519_public_key_is_ok(const curve25519_public_key_t *key)
   return !safe_mem_is_zero(key->public_key, CURVE25519_PUBKEY_LEN);
 }
 
-/** Generate a new keypair and return the secret key.  If <b>extra_strong</b>
- * is true, this key is possibly going to get used more than once, so
- * use a better-than-usual RNG. Return 0 on success, -1 on failure. */
+/**
+ * Generate CURVE25519_SECKEY_LEN random bytes in <b>out</b>. If
+ * <b>extra_strong</b> is true, this key is possibly going to get used more
+ * than once, so use a better-than-usual RNG. Return 0 on success, -1 on
+ * failure.
+ *
+ * This function does not adjust the output of the RNG at all; the will caller
+ * will need to clear or set the appropriate bits to make curve25519 work.
+ */
 int
-curve25519_secret_key_generate(curve25519_secret_key_t *key_out,
-                               int extra_strong)
+curve25519_rand_seckey_bytes(uint8_t *out, int extra_strong)
 {
   uint8_t k_tmp[CURVE25519_SECKEY_LEN];
 
-  if (crypto_rand((char*)key_out->secret_key, CURVE25519_SECKEY_LEN) < 0)
+  if (crypto_rand((char*)out, CURVE25519_SECKEY_LEN) < 0)
     return -1;
   if (extra_strong && !crypto_strongest_rand(k_tmp, CURVE25519_SECKEY_LEN)) {
     /* If they asked for extra-strong entropy and we have some, use it as an
      * HMAC key to improve not-so-good entropy rather than using it directly,
      * just in case the extra-strong entropy is less amazing than we hoped. */
-    crypto_hmac_sha256((char *)key_out->secret_key,
-                    (const char *)k_tmp, sizeof(k_tmp),
-                    (const char *)key_out->secret_key, CURVE25519_SECKEY_LEN);
+    crypto_hmac_sha256((char*) out,
+                       (const char *)k_tmp, sizeof(k_tmp),
+                       (const char *)out, CURVE25519_SECKEY_LEN);
   }
   memwipe(k_tmp, 0, sizeof(k_tmp));
+  return 0;
+}
+
+/** Generate a new keypair and return the secret key.  If <b>extra_strong</b>
+ * is true, this key is possibly going to get used more than once, so
+ * use a better-than-usual RNG. Return 0 on success, -1 on failure. */
+int
+curve25519_secret_key_generate(curve25519_secret_key_t *key_out,
+                               int extra_strong)
+{
+  if (curve25519_rand_seckey_bytes(key_out->secret_key, extra_strong) < 0)
+    return -1;
+
   key_out->secret_key[0] &= 248;
   key_out->secret_key[31] &= 127;
   key_out->secret_key[31] |= 64;
@@ -109,69 +128,142 @@ curve25519_keypair_generate(curve25519_keypair_t *keypair_out,
   return 0;
 }
 
+/** Write the <b>datalen</b> bytes from <b>data</b> to the file named
+ * <b>fname</b> in the tagged-data format.  This format contains a
+ * 32-byte header, followed by the data itself.  The header is the
+ * NUL-padded string "== <b>typestring</b>: <b>tag</b> ==".  The length
+ * of <b>typestring</b> and <b>tag</b> must therefore be no more than
+ * 24.
+ **/
 int
-curve25519_keypair_write_to_file(const curve25519_keypair_t *keypair,
-                                 const char *fname,
-                                 const char *tag)
+crypto_write_tagged_contents_to_file(const char *fname,
+                                     const char *typestring,
+                                     const char *tag,
+                                     const uint8_t *data,
+                                     size_t datalen)
 {
-  char contents[32 + CURVE25519_SECKEY_LEN + CURVE25519_PUBKEY_LEN];
-  int r;
+  char header[32];
+  smartlist_t *chunks = smartlist_new();
+  sized_chunk_t ch0, ch1;
+  int r = -1;
 
-  memset(contents, 0, sizeof(contents));
-  tor_snprintf(contents, sizeof(contents), "== c25519v1: %s ==", tag);
-  tor_assert(strlen(contents) <= 32);
-  memcpy(contents+32, keypair->seckey.secret_key, CURVE25519_SECKEY_LEN);
-  memcpy(contents+32+CURVE25519_SECKEY_LEN,
-         keypair->pubkey.public_key, CURVE25519_PUBKEY_LEN);
+  memset(header, 0, sizeof(header));
+  if (tor_snprintf(header, sizeof(header),
+                   "== %s: %s ==", typestring, tag) < 0)
+    goto end;
+  ch0.bytes = header;
+  ch0.len = 32;
+  ch1.bytes = (const char*) data;
+  ch1.len = datalen;
+  smartlist_add(chunks, &ch0);
+  smartlist_add(chunks, &ch1);
 
-  r = write_bytes_to_file(fname, contents, sizeof(contents), 1);
+  r = write_chunks_to_file(fname, chunks, 1, 0);
 
-  memwipe(contents, 0, sizeof(contents));
+ end:
+  smartlist_free(chunks);
   return r;
 }
 
-int
-curve25519_keypair_read_from_file(curve25519_keypair_t *keypair_out,
-                                  char **tag_out,
-                                  const char *fname)
+/** Read a tagged-data file from <b>fname</b> into the
+ * <b>data_out_len</b>-byte buffer in <b>data_out</b>. Check that the
+ * typestring matches <b>typestring</b>; store the tag into a newly allocated
+ * string in <b>tag_out</b>. Return -1 on failure, and the number of bytes of
+ * data on success. */
+ssize_t
+crypto_read_tagged_contents_from_file(const char *fname,
+                                      const char *typestring,
+                                      char **tag_out,
+                                      uint8_t *data_out,
+                                      ssize_t data_out_len)
 {
   char prefix[33];
-  char *content;
+  char *content = NULL;
   struct stat st;
-  int r = -1;
+  ssize_t r = -1;
 
   *tag_out = NULL;
-
   st.st_size = 0;
   content = read_file_to_str(fname, RFTS_BIN|RFTS_IGNORE_MISSING, &st);
   if (! content)
     goto end;
-  if (st.st_size != 32 + CURVE25519_SECKEY_LEN + CURVE25519_PUBKEY_LEN)
+  if (st.st_size < 32 || st.st_size > 32 + data_out_len)
     goto end;
 
   memcpy(prefix, content, 32);
-  prefix[32] = '\0';
-  if (strcmpstart(prefix, "== c25519v1: ") ||
-      strcmpend(prefix, " =="))
+  prefix[32] = 0;
+  /* Check type, extract tag. */
+  if (strcmpstart(prefix, "== ") || strcmpend(prefix, " ==") ||
+      ! tor_mem_is_zero(prefix+strlen(prefix), 32-strlen(prefix)))
+    goto end;
+
+  if (strcmpstart(prefix+3, typestring) ||
+      3+strlen(typestring) >= 32 ||
+      strcmpstart(prefix+3+strlen(typestring), ": "))
     goto end;
 
-  *tag_out = tor_strndup(prefix+strlen("== c25519v1: "),
-                         strlen(prefix) - strlen("== c25519v1:  =="));
+  *tag_out = tor_strndup(prefix+5+strlen(typestring),
+                         strlen(prefix)-8-strlen(typestring));
+
+  memcpy(data_out, content+32, st.st_size-32);
+  r = st.st_size - 32;
+
+ end:
+  if (content)
+    memwipe(content, 0, st.st_size);
+  tor_free(content);
+  return r;
+}
+
+/** DOCDOC */
+int
+curve25519_keypair_write_to_file(const curve25519_keypair_t *keypair,
+                                 const char *fname,
+                                 const char *tag)
+{
+  uint8_t contents[CURVE25519_SECKEY_LEN + CURVE25519_PUBKEY_LEN];
+  int r;
+
+  memcpy(contents, keypair->seckey.secret_key, CURVE25519_SECKEY_LEN);
+  memcpy(contents+CURVE25519_SECKEY_LEN,
+         keypair->pubkey.public_key, CURVE25519_PUBKEY_LEN);
+
+  r = crypto_write_tagged_contents_to_file(fname,
+                                           "c25519v1",
+                                           tag,
+                                           contents,
+                                           sizeof(contents));
+
+  memwipe(contents, 0, sizeof(contents));
+  return r;
+}
+
+/** DOCDOC */
+int
+curve25519_keypair_read_from_file(curve25519_keypair_t *keypair_out,
+                                  char **tag_out,
+                                  const char *fname)
+{
+  uint8_t content[CURVE25519_SECKEY_LEN + CURVE25519_PUBKEY_LEN];
+  ssize_t len;
+  int r = -1;
+
+  len = crypto_read_tagged_contents_from_file(fname, "c25519v1", tag_out,
+                                              content, sizeof(content));
+  if (len != sizeof(content))
+    goto end;
 
-  memcpy(keypair_out->seckey.secret_key, content+32, CURVE25519_SECKEY_LEN);
+  memcpy(keypair_out->seckey.secret_key, content, CURVE25519_SECKEY_LEN);
   curve25519_public_key_generate(&keypair_out->pubkey, &keypair_out->seckey);
   if (tor_memneq(keypair_out->pubkey.public_key,
-                 content + 32 + CURVE25519_SECKEY_LEN,
+                 content + CURVE25519_SECKEY_LEN,
                  CURVE25519_PUBKEY_LEN))
     goto end;
 
   r = 0;
 
  end:
-  if (content) {
-    memwipe(content, 0, (size_t) st.st_size);
-    tor_free(content);
-  }
+  memwipe(content, 0, sizeof(content));
   if (r != 0) {
     memset(keypair_out, 0, sizeof(*keypair_out));
     tor_free(*tag_out);

src/common/crypto_curve25519.h

@@ -57,6 +57,8 @@ int curve25519_keypair_read_from_file(curve25519_keypair_t *keypair_out,
                                       char **tag_out,
                                       const char *fname);
 
+int curve25519_rand_seckey_bytes(uint8_t *out, int extra_strong);
+
 #ifdef CRYPTO_CURVE25519_PRIVATE
 STATIC int curve25519_impl(uint8_t *output, const uint8_t *secret,
                            const uint8_t *basepoint);
@@ -70,5 +72,17 @@ int curve25519_public_from_base64(curve25519_public_key_t *pkey,
 int curve25519_public_to_base64(char *output,
                                 const curve25519_public_key_t *pkey);
 
+int crypto_write_tagged_contents_to_file(const char *fname,
+                                         const char *typestring,
+                                         const char *tag,
+                                         const uint8_t *data,
+                                         size_t datalen);
+
+ssize_t crypto_read_tagged_contents_from_file(const char *fname,
+                                              const char *typestring,
+                                              char **tag_out,
+                                              uint8_t *data_out,
+                                              ssize_t data_out_len);
+
 #endif
 

src/common/crypto_ed25519.c

@@ -0,0 +1,353 @@
+/* Copyright (c) 2013, The Tor Project, Inc. */
+/* See LICENSE for licensing information */
+
+/* Wrapper code for an ed25519 implementation. */
+
+#include "orconfig.h"
+#ifdef HAVE_SYS_STAT_H
+#include <sys/stat.h>
+#endif
+
+#include "crypto.h"
+
+#include "crypto_curve25519.h"
+#include "crypto_ed25519.h"
+#include "torlog.h"
+#include "util.h"
+
+#include "ed25519/ref10/ed25519_ref10.h"
+
+#include <openssl/sha.h>
+
+/**
+ * Initialize a new ed25519 secret key in <b>seckey_out</b>.  If
+ * <b>extra_strong</b>, take the RNG inputs directly from the operating
+ * system.  Return 0 on success, -1 on failure.
+ */
+int
+ed25519_secret_key_generate(ed25519_secret_key_t *seckey_out,
+                        int extra_strong)
+{
+  int r;
+  uint8_t seed[32];
+  if (! extra_strong || crypto_strongest_rand(seed, sizeof(seed)) < 0)
+    crypto_rand((char*)seed, sizeof(seed));
+
+  r = ed25519_ref10_seckey_expand(seckey_out->seckey, seed);
+  memwipe(seed, 0, sizeof(seed));
+
+  return r < 0 ? -1 : 0;
+}
+
+/**
+ * Given a 32-byte random seed in <b>seed</b>, expand it into an ed25519
+ * secret key in <b>seckey_out</b>.  Return 0 on success, -1 on failure.
+ */
+int
+ed25519_secret_key_from_seed(ed25519_secret_key_t *seckey_out,
+                             const uint8_t *seed)
+{
+  if (ed25519_ref10_seckey_expand(seckey_out->seckey, seed) < 0)
+    return -1;
+  return 0;
+}
+
+/**
+ * Given a secret key in <b>seckey</b>, expand it into an
+ * ed25519 public key.  Return 0 on success, -1 on failure.
+ */
+int
+ed25519_public_key_generate(ed25519_public_key_t *pubkey_out,
+                        const ed25519_secret_key_t *seckey)
+{
+  if (ed25519_ref10_pubkey(pubkey_out->pubkey, seckey->seckey) < 0)
+    return -1;
+  return 0;
+}
+
+/** Generate a new ed25519 keypair in <b>keypair_out</b>.  If
+ * <b>extra_strong</b> is set, try to mix some system entropy into the key
+ * generation process. Return 0 on success, -1 on failure. */
+int
+ed25519_keypair_generate(ed25519_keypair_t *keypair_out, int extra_strong)
+{
+  if (ed25519_secret_key_generate(&keypair_out->seckey, extra_strong) < 0)
+    return -1;
+  if (ed25519_public_key_generate(&keypair_out->pubkey,
+                                  &keypair_out->seckey)<0)
+    return -1;
+  return 0;
+}
+
+/**
+ * Set <b>signature_out</b> to a signature of the <b>len</b>-byte message
+ * <b>msg</b>, using the secret and public key in <b>keypair</b>.
+ */
+int
+ed25519_sign(ed25519_signature_t *signature_out,
+             const uint8_t *msg, size_t len,
+             const ed25519_keypair_t *keypair)
+{
+
+  if (ed25519_ref10_sign(signature_out->sig, msg, len,
+                         keypair->seckey.seckey,
+                         keypair->pubkey.pubkey) < 0) {
+    return -1;
+  }
+
+  return 0;
+}
+
+/**
+ * Check whether if <b>signature</b> is a valid signature for the
+ * <b>len</b>-byte message in <b>msg</b> made with the key <b>pubkey</b>.
+ *
+ * Return 0 if the signature is valid; -1 if it isn't.
+ */
+int
+ed25519_checksig(const ed25519_signature_t *signature,
+                 const uint8_t *msg, size_t len,
+                 const ed25519_public_key_t *pubkey)
+{
+  return
+    ed25519_ref10_open(signature->sig, msg, len, pubkey->pubkey) < 0 ? -1 : 0;
+}
+
+/** Validate every signature among those in <b>checkable</b>, which contains
+ * exactly <b>n_checkable</b> elements.  If <b>okay_out</b> is non-NULL, set
+ * the i'th element of <b>okay_out</b> to 1 if the i'th element of
+ * <b>checkable</b> is valid, and to 0 otherwise.  Return 0 if every signature
+ * was valid. Otherwise return -N, where N is the number of invalid
+ * signatures.
+ */
+int
+ed25519_checksig_batch(int *okay_out,
+                       const ed25519_checkable_t *checkable,
+                       int n_checkable)
+{
+  int res, i;
+
+  res = 0;
+  for (i = 0; i < n_checkable; ++i) {
+    const ed25519_checkable_t *ch = &checkable[i];
+    int r = ed25519_checksig(&ch->signature, ch->msg, ch->len, ch->pubkey);
+    if (r < 0)
+      --res;
+    if (okay_out)
+      okay_out[i] = (r == 0);
+  }
+
+#if 0
+  /* This is how we'd do it if we were using ed25519_donna.  I'll keep this
+   * code around here in case we ever do that. */
+  const uint8_t **ms;
+  size_t *lens;
+  const uint8_t **pks;
+  const uint8_t **sigs;
+  int *oks;
+
+  ms = tor_malloc(sizeof(uint8_t*)*n_checkable);
+  lens = tor_malloc(sizeof(size_t)*n_checkable);
+  pks = tor_malloc(sizeof(uint8_t*)*n_checkable);
+  sigs = tor_malloc(sizeof(uint8_t*)*n_checkable);
+  oks = okay_out ? okay_out : tor_malloc(sizeof(int)*n_checkable);
+
+  for (i = 0; i < n_checkable; ++i) {
+    ms[i] = checkable[i].msg;
+    lens[i] = checkable[i].len;
+    pks[i] = checkable[i].pubkey->pubkey;
+    sigs[i] = checkable[i].signature.sig;
+    oks[i] = 0;
+  }
+
+  ed25519_sign_open_batch_donna_fb(ms, lens, pks, sigs, n_checkable, oks);
+
+  res = 0;
+  for (i = 0; i < n_checkable; ++i) {
+    if (!oks[i])
+      --res;
+  }
+
+  tor_free(ms);
+  tor_free(lens);
+  tor_free(pks);
+  if (! okay_out)
+    tor_free(oks);
+#endif
+
+  return res;
+}
+
+/**
+ * Given a curve25519 keypair in <b>inp</b>, generate a corresponding
+ * ed25519 keypair in <b>out</b>, and set <b>signbit_out</b> to the
+ * sign bit of the X coordinate of the ed25519 key.
+ *
+ * NOTE THAT IT IS PROBABLY NOT SAFE TO USE THE GENERATED KEY FOR ANYTHING
+ * OUTSIDE OF WHAT'S PRESENTED IN PROPOSAL 228.  In particular, it's probably
+ * not a great idea to use it to sign attacker-supplied anything.
+ */
+int
+ed25519_keypair_from_curve25519_keypair(ed25519_keypair_t *out,
+                                        int *signbit_out,
+                                        const curve25519_keypair_t *inp)
+{
+  const char string[] = "Derive high part of ed25519 key from curve25519 key";
+  ed25519_public_key_t pubkey_check;
+  SHA512_CTX ctx;
+  uint8_t sha512_output[64];
+
+  memcpy(out->seckey.seckey, inp->seckey.secret_key, 32);
+  SHA512_Init(&ctx);
+  SHA512_Update(&ctx, out->seckey.seckey, 32);
+  SHA512_Update(&ctx, string, sizeof(string));
+  SHA512_Final(sha512_output, &ctx);
+  memcpy(out->seckey.seckey + 32, sha512_output, 32);
+
+  ed25519_public_key_generate(&out->pubkey, &out->seckey);
+
+  *signbit_out = out->pubkey.pubkey[31] >> 7;
+
+  ed25519_public_key_from_curve25519_public_key(&pubkey_check, &inp->pubkey,
+                                                *signbit_out);
+
+  tor_assert(fast_memeq(pubkey_check.pubkey, out->pubkey.pubkey, 32));
+
+  memwipe(&pubkey_check, 0, sizeof(pubkey_check));
+  memwipe(&ctx, 0, sizeof(ctx));
+  memwipe(sha512_output, 0, sizeof(sha512_output));
+
+  return 0;
+}
+
+/**
+ * Given a curve25519 public key and sign bit of X coordinate of the ed25519
+ * public key, generate the corresponding ed25519 public key.
+ */
+int
+ed25519_public_key_from_curve25519_public_key(ed25519_public_key_t *pubkey,
+                                     const curve25519_public_key_t *pubkey_in,
+                                     int signbit)
+{
+  return ed25519_ref10_pubkey_from_curve25519_pubkey(pubkey->pubkey,
+                                                     pubkey_in->public_key,
+                                                     signbit);
+}
+
+/**
+ * Given an ed25519 keypair in <b>inp</b>, generate a corresponding
+ * ed25519 keypair in <b>out</b>, blinded by the corresponding 32-byte input
+ * in 'param'.
+ *
+ * Tor uses key blinding for the "next-generation" hidden services design:
+ * service descriptors are encrypted with a key derived from the service's
+ * long-term public key, and then signed with (and stored at a position
+ * indexed by) a short-term key derived by blinding the long-term keys.
+ */
+int
+ed25519_keypair_blind(ed25519_keypair_t *out,
+                      const ed25519_keypair_t *inp,
+                      const uint8_t *param)
+{
+  ed25519_public_key_t pubkey_check;
+
+  ed25519_ref10_blind_secret_key(out->seckey.seckey,
+                                  inp->seckey.seckey, param);
+
+  ed25519_public_blind(&pubkey_check, &inp->pubkey, param);
+  ed25519_public_key_generate(&out->pubkey, &out->seckey);
+
+  tor_assert(fast_memeq(pubkey_check.pubkey, out->pubkey.pubkey, 32));
+
+  memwipe(&pubkey_check, 0, sizeof(pubkey_check));
+
+  return 0;
+}
+
+/**
+ * Given an ed25519 public key in <b>inp</b>, generate a corresponding blinded
+ * public key in <b>out</b>, blinded with the 32-byte parameter in
+ * <b>param</b>.  Return 0 on sucess, -1 on railure.
+ */
+int
+ed25519_public_blind(ed25519_public_key_t *out,
+                     const ed25519_public_key_t *inp,
+                     const uint8_t *param)
+{
+  ed25519_ref10_blind_public_key(out->pubkey, inp->pubkey, param);
+  return 0;
+}
+
+/**
+ * Store seckey unencrypted to <b>filename</b>, marking it with <b>tag</b>.
+ * Return 0 on success, -1 on failure.
+ */
+int
+ed25519_seckey_write_to_file(const ed25519_secret_key_t *seckey,
+                             const char *filename,
+                             const char *tag)
+{
+  return crypto_write_tagged_contents_to_file(filename,
+                                              "ed25519v1-secret",
+                                              tag,
+                                              seckey->seckey,
+                                              sizeof(seckey->seckey));
+}
+
+/**
+ * Read seckey unencrypted from <b>filename</b>, storing it into
+ * <b>seckey_out</b>.  Set *<b>tag_out</> to the tag it was marked with.
+ * Return 0 on success, -1 on failure.
+ */
+int
+ed25519_seckey_read_from_file(ed25519_secret_key_t *seckey_out,
+                              char **tag_out,
+                              const char *filename)
+{
+  ssize_t len;
+
+  len = crypto_read_tagged_contents_from_file(filename, "ed25519v1-secret",
+                                              tag_out, seckey_out->seckey,
+                                              sizeof(seckey_out->seckey));
+  if (len != sizeof(seckey_out->seckey))
+    return -1;
+
+  return 0;
+}
+
+/**
+ * Store pubkey unencrypted to <b>filename</b>, marking it with <b>tag</b>.
+ * Return 0 on success, -1 on failure.
+ */
+int
+ed25519_pubkey_write_to_file(const ed25519_public_key_t *pubkey,
+                             const char *filename,
+                             const char *tag)
+{
+  return crypto_write_tagged_contents_to_file(filename,
+                                              "ed25519v1-public",
+                                              tag,
+                                              pubkey->pubkey,
+                                              sizeof(pubkey->pubkey));
+}
+
+/**
+ * Store pubkey unencrypted to <b>filename</b>, marking it with <b>tag</b>.
+ * Return 0 on success, -1 on failure.
+ */
+int
+ed25519_pubkey_read_from_file(ed25519_public_key_t *pubkey_out,
+                              char **tag_out,
+                              const char *filename)
+{
+  ssize_t len;
+
+  len = crypto_read_tagged_contents_from_file(filename, "ed25519v1-public",
+                                              tag_out, pubkey_out->pubkey,
+                                              sizeof(pubkey_out->pubkey));
+  if (len != sizeof(pubkey_out->pubkey))
+    return -1;
+
+  return 0;
+}
+

src/common/crypto_ed25519.h

@@ -0,0 +1,116 @@
+/* Copyright (c) 2012-2013, The Tor Project, Inc. */
+/* See LICENSE for licensing information */
+
+#ifndef TOR_CRYPTO_ED25519_H
+#define TOR_CRYPTO_ED25519_H
+
+#include "testsupport.h"
+#include "torint.h"
+
+#define ED25519_PUBKEY_LEN 32
+#define ED25519_SECKEY_LEN 64
+#define ED25519_SECKEY_SEED_LEN 32
+#define ED25519_SIG_LEN 64
+
+/** An Ed25519 signature. */
+typedef struct {
+  uint8_t sig[ED25519_SIG_LEN];
+} ed25519_signature_t;
+
+/** An Ed25519 public key */
+typedef struct {
+  uint8_t pubkey[ED25519_PUBKEY_LEN];
+} ed25519_public_key_t;
+
+/** An Ed25519 secret key */
+typedef struct {
+  /** Note that we store secret keys in an expanded format that doesn't match
+   * the format from standard ed25519.  Ed25519 stores a 32-byte value k and
+   * expands it into a 64-byte H(k), using the first 32 bytes for a multiplier
+   * of the base point, and second 32 bytes as an input to a hash function
+   * for deriving r.  But because we implement key blinding, we need to store
+   * keys in the 64-byte expanded form. */
+  uint8_t seckey[ED25519_SECKEY_LEN];
+} ed25519_secret_key_t;
+
+/** An Ed25519 keypair. */
+typedef struct {
+  ed25519_public_key_t pubkey;
+  ed25519_secret_key_t seckey;
+} ed25519_keypair_t;
+
+#ifdef CURVE25519_ENABLED
+int ed25519_secret_key_generate(ed25519_secret_key_t *seckey_out,
+                            int extra_strong);
+int ed25519_secret_key_from_seed(ed25519_secret_key_t *seckey_out,
+                                 const uint8_t *seed);
+
+int ed25519_public_key_generate(ed25519_public_key_t *pubkey_out,
+                            const ed25519_secret_key_t *seckey);
+int ed25519_keypair_generate(ed25519_keypair_t *keypair_out, int extra_strong);
+int ed25519_sign(ed25519_signature_t *signature_out,
+                 const uint8_t *msg, size_t len,
+                 const ed25519_keypair_t *key);
+int ed25519_checksig(const ed25519_signature_t *signature,
+                     const uint8_t *msg, size_t len,
+                     const ed25519_public_key_t *pubkey);
+
+/**
+ * A collection of information necessary to check an Ed25519 signature. Used
+ * for batch verification.
+ */
+typedef struct {
+  /** The public key that supposedly generated the signature. */
+  ed25519_public_key_t *pubkey;
+  /** The signature to check. */
+  ed25519_signature_t signature;
+  /** The message that the signature is supposed to have been applied to. */
+  const uint8_t *msg;
+  /** The length of the message. */
+  size_t len;
+} ed25519_checkable_t;
+
+int ed25519_checksig_batch(int *okay_out,
+                           const ed25519_checkable_t *checkable,
+                           int n_checkable);
+
+int ed25519_keypair_from_curve25519_keypair(ed25519_keypair_t *out,
+                                            int *signbit_out,
+                                            const curve25519_keypair_t *inp);
+
+int ed25519_public_key_from_curve25519_public_key(ed25519_public_key_t *pubkey,
+                                     const curve25519_public_key_t *pubkey_in,
+                                     int signbit);
+int ed25519_keypair_blind(ed25519_keypair_t *out,
+                          const ed25519_keypair_t *inp,
+                          const uint8_t *param);
+int ed25519_public_blind(ed25519_public_key_t *out,
+                         const ed25519_public_key_t *inp,
+                         const uint8_t *param);
+
+#endif
+
+#define ED25519_BASE64_LEN 43
+
+int ed25519_public_from_base64(ed25519_public_key_t *pkey,
+                               const char *input);
+int ed25519_public_to_base64(char *output,
+                             const ed25519_public_key_t *pkey);
+
+/* XXXX read encrypted, write encrypted. */
+
+int ed25519_seckey_write_to_file(const ed25519_secret_key_t *seckey,
+                                 const char *filename,
+                                 const char *tag);
+int ed25519_seckey_read_from_file(ed25519_secret_key_t *seckey_out,
+                                  char **tag_out,
+                                  const char *filename);
+int ed25519_pubkey_write_to_file(const ed25519_public_key_t *pubkey,
+                                 const char *filename,
+                                 const char *tag);
+int ed25519_pubkey_read_from_file(ed25519_public_key_t *pubkey_out,
+                                  char **tag_out,
+                                  const char *filename);
+
+#endif
+

src/common/crypto_format.c

@@ -9,6 +9,7 @@
 #endif
 #include "crypto.h"
 #include "crypto_curve25519.h"
+#include "crypto_ed25519.h"
 #include "util.h"
 #include "torlog.h"
 
@@ -43,3 +44,24 @@ curve25519_public_from_base64(curve25519_public_key_t *pkey,
   }
 }
 
+/** Try to decode the string <b>input</b> into an ed25519 public key. On
+ * success, store the value in <b>pkey</b> and return 0. Otherwise return
+ * -1. */
+int
+ed25519_public_from_base64(ed25519_public_key_t *pkey,
+                           const char *input)
+{
+  return digest256_from_base64((char*)pkey->pubkey, input);
+}
+
+/** Encode the public key <b>pkey</b> into the buffer at <b>output</b>,
+ * which must have space for ED25519_BASE64_LEN bytes of encoded key,
+ * plus one byte for a terminating NUL.  Return 0 on success, -1 on failure.
+ */
+int
+ed25519_public_to_base64(char *output,
+                         const ed25519_public_key_t *pkey)
+{
+  return digest256_to_base64(output, (const char *)pkey->pubkey);
+}
+

src/common/include.am

@@ -52,8 +52,12 @@ LIBDONNA=
 endif
 endif
 
+LIBDONNA += $(LIBED25519_REF10)
+
 if CURVE25519_ENABLED
-libcrypto_extra_source=src/common/crypto_curve25519.c
+libcrypto_extra_source = \
+	src/common/crypto_curve25519.c \
+	src/common/crypto_ed25519.c
 endif
 
 LIBOR_A_SOURCES = \
@@ -114,6 +118,7 @@ COMMONHEADERS = \
   src/common/container.h			\
   src/common/crypto.h				\
   src/common/crypto_curve25519.h		\
+  src/common/crypto_ed25519.h			\
   src/common/crypto_pwbox.h			\
   src/common/crypto_s2k.h			\
   src/common/di_ops.h				\

src/ext/README

@@ -54,3 +54,10 @@ trunnel/*.[ch]
 
     Headers and runtime code for Trunnel, a system for generating
     code to encode and decode binary formats.
+
+ed25519/ref10/*
+
+    Daniel Bernsten's portable ref10 implementation of ed25519.
+    Public domain.
+
+

src/ext/ed25519/ref10/Makefile

@@ -0,0 +1,41 @@
+all: d.h d2.h sqrtm1.h base.h base2.h \
+ge_add.h ge_sub.h \
+ge_madd.h ge_msub.h \
+ge_p2_dbl.h \
+pow225521.h pow22523.h
+
+d.h: d.py
+	python d.py > d.h
+
+d2.h: d2.py
+	python d2.py > d2.h
+
+sqrtm1.h: sqrtm1.py
+	python sqrtm1.py > sqrtm1.h
+
+base.h: base.py
+	python base.py > base.h
+
+base2.h: base2.py
+	python base2.py > base2.h
+
+ge_add.h: ge_add.q q2h.sh
+	./q2h.sh < ge_add.q > ge_add.h
+
+ge_sub.h: ge_sub.q q2h.sh
+	./q2h.sh < ge_sub.q > ge_sub.h
+
+ge_madd.h: ge_madd.q q2h.sh
+	./q2h.sh < ge_madd.q > ge_madd.h
+
+ge_msub.h: ge_msub.q q2h.sh
+	./q2h.sh < ge_msub.q > ge_msub.h
+
+ge_p2_dbl.h: ge_p2_dbl.q q2h.sh
+	./q2h.sh < ge_p2_dbl.q > ge_p2_dbl.h
+
+pow22523.h: pow22523.q q2h.sh
+	./q2h.sh < pow22523.q > pow22523.h
+
+pow225521.h: pow225521.q q2h.sh
+	./q2h.sh < pow225521.q > pow225521.h

src/ext/ed25519/ref10/README.tor

@@ -0,0 +1,23 @@
+
+We've made the following changes to the stock ed25519_ref10 from
+supercop-20140622:
+
+   * We added the necessary glue to provide integers of fixed bit
+     sizes, SHA512, and to compile without warnings everywhere we need
+     to build.
+
+   * Secret keys are stored in expanded format.  There are functions
+     to expand them from the 32-byte seed.
+
+   * Signatures are made and processed detached from the messages that
+     they sign.  (In other words, we support "make signature" and
+     "check signature", not "create signed message" and "check and
+     unpack signed message".)
+
+   * There's an implementation of 'convert a curve25519 key to an
+     ed25519 key' so we can do cross-certification with curve25519 keys.
+     (keyconv.c)
+
+   * There's an implementation of multiplicative key blinding so we
+     can use it for next-gen hidden srevice descriptors. (blinding.c)
+

src/ext/ed25519/ref10/api.h

@@ -0,0 +1,4 @@
+#define CRYPTO_SECRETKEYBYTES 64
+#define CRYPTO_PUBLICKEYBYTES 32
+#define CRYPTO_BYTES 64
+#define CRYPTO_DETERMINISTIC 1

src/ext/ed25519/ref10/base.h

@@ -0,0 +1,1344 @@
+{
+ {
+  { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 },
+  { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 },
+  { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 },
+ },
+ {
+  { -12815894,-12976347,-21581243,11784320,-25355658,-2750717,-11717903,-3814571,-358445,-10211303 },
+  { -21703237,6903825,27185491,6451973,-29577724,-9554005,-15616551,11189268,-26829678,-5319081 },
+  { 26966642,11152617,32442495,15396054,14353839,-12752335,-3128826,-9541118,-15472047,-4166697 },
+ },
+ {
+  { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 },
+  { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 },
+  { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 },
+ },
+ {
+  { -17036878,13921892,10945806,-6033431,27105052,-16084379,-28926210,15006023,3284568,-6276540 },
+  { 23599295,-8306047,-11193664,-7687416,13236774,10506355,7464579,9656445,13059162,10374397 },
+  { 7798556,16710257,3033922,2874086,28997861,2835604,32406664,-3839045,-641708,-101325 },
+ },
+ {
+  { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 },
+  { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 },
+  { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 },
+ },
+ {
+  { -15371964,-12862754,32573250,4720197,-26436522,5875511,-19188627,-15224819,-9818940,-12085777 },
+  { -8549212,109983,15149363,2178705,22900618,4543417,3044240,-15689887,1762328,14866737 },
+  { -18199695,-15951423,-10473290,1707278,-17185920,3916101,-28236412,3959421,27914454,4383652 },
+ },
+ {
+  { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 },
+  { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 },
+  { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 },
+ },
+ {
+  { 14499471,-2729599,-33191113,-4254652,28494862,14271267,30290735,10876454,-33154098,2381726 },
+  { -7195431,-2655363,-14730155,462251,-27724326,3941372,-6236617,3696005,-32300832,15351955 },
+  { 27431194,8222322,16448760,-3907995,-18707002,11938355,-32961401,-2970515,29551813,10109425 },
+ },
+},
+{
+ {
+  { -13657040,-13155431,-31283750,11777098,21447386,6519384,-2378284,-1627556,10092783,-4764171 },
+  { 27939166,14210322,4677035,16277044,-22964462,-12398139,-32508754,12005538,-17810127,12803510 },
+  { 17228999,-15661624,-1233527,300140,-1224870,-11714777,30364213,-9038194,18016357,4397660 },
+ },
+ {
+  { -10958843,-7690207,4776341,-14954238,27850028,-15602212,-26619106,14544525,-17477504,982639 },
+  { 29253598,15796703,-2863982,-9908884,10057023,3163536,7332899,-4120128,-21047696,9934963 },
+  { 5793303,16271923,-24131614,-10116404,29188560,1206517,-14747930,4559895,-30123922,-10897950 },
+ },
+ {
+  { -27643952,-11493006,16282657,-11036493,28414021,-15012264,24191034,4541697,-13338309,5500568 },
+  { 12650548,-1497113,9052871,11355358,-17680037,-8400164,-17430592,12264343,10874051,13524335 },
+  { 25556948,-3045990,714651,2510400,23394682,-10415330,33119038,5080568,-22528059,5376628 },
+ },
+ {
+  { -26088264,-4011052,-17013699,-3537628,-6726793,1920897,-22321305,-9447443,4535768,1569007 },
+  { -2255422,14606630,-21692440,-8039818,28430649,8775819,-30494562,3044290,31848280,12543772 },
+  { -22028579,2943893,-31857513,6777306,13784462,-4292203,-27377195,-2062731,7718482,14474653 },
+ },
+ {
+  { 2385315,2454213,-22631320,46603,-4437935,-15680415,656965,-7236665,24316168,-5253567 },
+  { 13741529,10911568,-33233417,-8603737,-20177830,-1033297,33040651,-13424532,-20729456,8321686 },
+  { 21060490,-2212744,15712757,-4336099,1639040,10656336,23845965,-11874838,-9984458,608372 },
+ },
+ {
+  { -13672732,-15087586,-10889693,-7557059,-6036909,11305547,1123968,-6780577,27229399,23887 },
+  { -23244140,-294205,-11744728,14712571,-29465699,-2029617,12797024,-6440308,-1633405,16678954 },
+  { -29500620,4770662,-16054387,14001338,7830047,9564805,-1508144,-4795045,-17169265,4904953 },
+ },
+ {
+  { 24059557,14617003,19037157,-15039908,19766093,-14906429,5169211,16191880,2128236,-4326833 },
+  { -16981152,4124966,-8540610,-10653797,30336522,-14105247,-29806336,916033,-6882542,-2986532 },
+  { -22630907,12419372,-7134229,-7473371,-16478904,16739175,285431,2763829,15736322,4143876 },
+ },
+ {
+  { 2379352,11839345,-4110402,-5988665,11274298,794957,212801,-14594663,23527084,-16458268 },
+  { 33431127,-11130478,-17838966,-15626900,8909499,8376530,-32625340,4087881,-15188911,-14416214 },
+  { 1767683,7197987,-13205226,-2022635,-13091350,448826,5799055,4357868,-4774191,-16323038 },
+ },
+},
+{
+ {
+  { 6721966,13833823,-23523388,-1551314,26354293,-11863321,23365147,-3949732,7390890,2759800 },
+  { 4409041,2052381,23373853,10530217,7676779,-12885954,21302353,-4264057,1244380,-12919645 },
+  { -4421239,7169619,4982368,-2957590,30256825,-2777540,14086413,9208236,15886429,16489664 },
+ },
+ {
+  { 1996075,10375649,14346367,13311202,-6874135,-16438411,-13693198,398369,-30606455,-712933 },
+  { -25307465,9795880,-2777414,14878809,-33531835,14780363,13348553,12076947,-30836462,5113182 },
+  { -17770784,11797796,31950843,13929123,-25888302,12288344,-30341101,-7336386,13847711,5387222 },
+ },
+ {
+  { -18582163,-3416217,17824843,-2340966,22744343,-10442611,8763061,3617786,-19600662,10370991 },
+  { 20246567,-14369378,22358229,-543712,18507283,-10413996,14554437,-8746092,32232924,16763880 },
+  { 9648505,10094563,26416693,14745928,-30374318,-6472621,11094161,15689506,3140038,-16510092 },
+ },
+ {
+  { -16160072,5472695,31895588,4744994,8823515,10365685,-27224800,9448613,-28774454,366295 },
+  { 19153450,11523972,-11096490,-6503142,-24647631,5420647,28344573,8041113,719605,11671788 },
+  { 8678025,2694440,-6808014,2517372,4964326,11152271,-15432916,-15266516,27000813,-10195553 },
+ },
+ {
+  { -15157904,7134312,8639287,-2814877,-7235688,10421742,564065,5336097,6750977,-14521026 },
+  { 11836410,-3979488,26297894,16080799,23455045,15735944,1695823,-8819122,8169720,16220347 },
+  { -18115838,8653647,17578566,-6092619,-8025777,-16012763,-11144307,-2627664,-5990708,-14166033 },
+ },
+ {
+  { -23308498,-10968312,15213228,-10081214,-30853605,-11050004,27884329,2847284,2655861,1738395 },
+  { -27537433,-14253021,-25336301,-8002780,-9370762,8129821,21651608,-3239336,-19087449,-11005278 },
+  { 1533110,3437855,23735889,459276,29970501,11335377,26030092,5821408,10478196,8544890 },
+ },
+ {
+  { 32173121,-16129311,24896207,3921497,22579056,-3410854,19270449,12217473,17789017,-3395995 },
+  { -30552961,-2228401,-15578829,-10147201,13243889,517024,15479401,-3853233,30460520,1052596 },
+  { -11614875,13323618,32618793,8175907,-15230173,12596687,27491595,-4612359,3179268,-9478891 },
+ },
+ {
+  { 31947069,-14366651,-4640583,-15339921,-15125977,-6039709,-14756777,-16411740,19072640,-9511060 },
+  { 11685058,11822410,3158003,-13952594,33402194,-4165066,5977896,-5215017,473099,5040608 },
+  { -20290863,8198642,-27410132,11602123,1290375,-2799760,28326862,1721092,-19558642,-3131606 },
+ },
+},
+{
+ {
+  { 7881532,10687937,7578723,7738378,-18951012,-2553952,21820786,8076149,-27868496,11538389 },
+  { -19935666,3899861,18283497,-6801568,-15728660,-11249211,8754525,7446702,-5676054,5797016 },
+  { -11295600,-3793569,-15782110,-7964573,12708869,-8456199,2014099,-9050574,-2369172,-5877341 },
+ },
+ {
+  { -22472376,-11568741,-27682020,1146375,18956691,16640559,1192730,-3714199,15123619,10811505 },
+  { 14352098,-3419715,-18942044,10822655,32750596,4699007,-70363,15776356,-28886779,-11974553 },
+  { -28241164,-8072475,-4978962,-5315317,29416931,1847569,-20654173,-16484855,4714547,-9600655 },
+ },
+ {
+  { 15200332,8368572,19679101,15970074,-31872674,1959451,24611599,-4543832,-11745876,12340220 },
+  { 12876937,-10480056,33134381,6590940,-6307776,14872440,9613953,8241152,15370987,9608631 },
+  { -4143277,-12014408,8446281,-391603,4407738,13629032,-7724868,15866074,-28210621,-8814099 },
+ },
+ {
+  { 26660628,-15677655,8393734,358047,-7401291,992988,-23904233,858697,20571223,8420556 },
+  { 14620715,13067227,-15447274,8264467,14106269,15080814,33531827,12516406,-21574435,-12476749 },
+  { 236881,10476226,57258,-14677024,6472998,2466984,17258519,7256740,8791136,15069930 },
+ },
+ {
+  { 1276410,-9371918,22949635,-16322807,-23493039,-5702186,14711875,4874229,-30663140,-2331391 },
+  { 5855666,4990204,-13711848,7294284,-7804282,1924647,-1423175,-7912378,-33069337,9234253 },
+  { 20590503,-9018988,31529744,-7352666,-2706834,10650548,31559055,-11609587,18979186,13396066 },
+ },
+ {
+  { 24474287,4968103,22267082,4407354,24063882,-8325180,-18816887,13594782,33514650,7021958 },
+  { -11566906,-6565505,-21365085,15928892,-26158305,4315421,-25948728,-3916677,-21480480,12868082 },
+  { -28635013,13504661,19988037,-2132761,21078225,6443208,-21446107,2244500,-12455797,-8089383 },
+ },
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+  { 31883677,-7961101,1083432,-11572403,22828471,13290673,-7125085,12469656,29111212,-5451014 },
+ },
+ {
+  { 24244947,-15050407,-26262976,2791540,-14997599,16666678,24367466,6388839,-10295587,452383 },
+  { -25640782,-3417841,5217916,16224624,19987036,-4082269,-24236251,-5915248,15766062,8407814 },
+  { -20406999,13990231,15495425,16395525,5377168,15166495,-8917023,-4388953,-8067909,2276718 },
+ },
+ {
+  { 30157918,12924066,-17712050,9245753,19895028,3368142,-23827587,5096219,22740376,-7303417 },
+  { 2041139,-14256350,7783687,13876377,-25946985,-13352459,24051124,13742383,-15637599,13295222 },
+  { 33338237,-8505733,12532113,7977527,9106186,-1715251,-17720195,-4612972,-4451357,-14669444 },
+ },
+ {
+  { -20045281,5454097,-14346548,6447146,28862071,1883651,-2469266,-4141880,7770569,9620597 },
+  { 23208068,7979712,33071466,8149229,1758231,-10834995,30945528,-1694323,-33502340,-14767970 },
+  { 1439958,-16270480,-1079989,-793782,4625402,10647766,-5043801,1220118,30494170,-11440799 },
+ },
+ {
+  { -5037580,-13028295,-2970559,-3061767,15640974,-6701666,-26739026,926050,-1684339,-13333647 },
+  { 13908495,-3549272,30919928,-6273825,-21521863,7989039,9021034,9078865,3353509,4033511 },
+  { -29663431,-15113610,32259991,-344482,24295849,-12912123,23161163,8839127,27485041,7356032 },
+ },
+},
+{
+ {
+  { 9661027,705443,11980065,-5370154,-1628543,14661173,-6346142,2625015,28431036,-16771834 },
+  { -23839233,-8311415,-25945511,7480958,-17681669,-8354183,-22545972,14150565,15970762,4099461 },
+  { 29262576,16756590,26350592,-8793563,8529671,-11208050,13617293,-9937143,11465739,8317062 },
+ },
+ {
+  { -25493081,-6962928,32500200,-9419051,-23038724,-2302222,14898637,3848455,20969334,-5157516 },
+  { -20384450,-14347713,-18336405,13884722,-33039454,2842114,-21610826,-3649888,11177095,14989547 },
+  { -24496721,-11716016,16959896,2278463,12066309,10137771,13515641,2581286,-28487508,9930240 },
+ },
+ {
+  { -17751622,-2097826,16544300,-13009300,-15914807,-14949081,18345767,-13403753,16291481,-5314038 },
+  { -33229194,2553288,32678213,9875984,8534129,6889387,-9676774,6957617,4368891,9788741 },
+  { 16660756,7281060,-10830758,12911820,20108584,-8101676,-21722536,-8613148,16250552,-11111103 },
+ },
+ {
+  { -19765507,2390526,-16551031,14161980,1905286,6414907,4689584,10604807,-30190403,4782747 },
+  { -1354539,14736941,-7367442,-13292886,7710542,-14155590,-9981571,4383045,22546403,437323 },
+  { 31665577,-12180464,-16186830,1491339,-18368625,3294682,27343084,2786261,-30633590,-14097016 },
+ },
+ {
+  { -14467279,-683715,-33374107,7448552,19294360,14334329,-19690631,2355319,-19284671,-6114373 },
+  { 15121312,-15796162,6377020,-6031361,-10798111,-12957845,18952177,15496498,-29380133,11754228 },
+  { -2637277,-13483075,8488727,-14303896,12728761,-1622493,7141596,11724556,22761615,-10134141 },
+ },
+ {
+  { 16918416,11729663,-18083579,3022987,-31015732,-13339659,-28741185,-12227393,32851222,11717399 },
+  { 11166634,7338049,-6722523,4531520,-29468672,-7302055,31474879,3483633,-1193175,-4030831 },
+  { -185635,9921305,31456609,-13536438,-12013818,13348923,33142652,6546660,-19985279,-3948376 },
+ },
+ {
+  { -32460596,11266712,-11197107,-7899103,31703694,3855903,-8537131,-12833048,-30772034,-15486313 },
+  { -18006477,12709068,3991746,-6479188,-21491523,-10550425,-31135347,-16049879,10928917,3011958 },
+  { -6957757,-15594337,31696059,334240,29576716,14796075,-30831056,-12805180,18008031,10258577 },
+ },
+ {
+  { -22448644,15655569,7018479,-4410003,-30314266,-1201591,-1853465,1367120,25127874,6671743 },
+  { 29701166,-14373934,-10878120,9279288,-17568,13127210,21382910,11042292,25838796,4642684 },
+  { -20430234,14955537,-24126347,8124619,-5369288,-5990470,30468147,-13900640,18423289,4177476 },
+ },
+},

src/ext/ed25519/ref10/base.py

@@ -0,0 +1,65 @@
+b = 256
+q = 2**255 - 19
+l = 2**252 + 27742317777372353535851937790883648493
+
+def expmod(b,e,m):
+  if e == 0: return 1
+  t = expmod(b,e/2,m)**2 % m
+  if e & 1: t = (t*b) % m
+  return t
+
+def inv(x):
+  return expmod(x,q-2,q)
+
+d = -121665 * inv(121666)
+I = expmod(2,(q-1)/4,q)
+
+def xrecover(y):
+  xx = (y*y-1) * inv(d*y*y+1)
+  x = expmod(xx,(q+3)/8,q)
+  if (x*x - xx) % q != 0: x = (x*I) % q
+  if x % 2 != 0: x = q-x
+  return x
+
+By = 4 * inv(5)
+Bx = xrecover(By)
+B = [Bx % q,By % q]
+
+def edwards(P,Q):
+  x1 = P[0]
+  y1 = P[1]
+  x2 = Q[0]
+  y2 = Q[1]
+  x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2)
+  y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2)
+  return [x3 % q,y3 % q]
+
+def radix255(x):
+  x = x % q
+  if x + x > q: x -= q
+  x = [x,0,0,0,0,0,0,0,0,0]
+  bits = [26,25,26,25,26,25,26,25,26,25]
+  for i in range(9):
+    carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i]
+    x[i] -= carry * 2**bits[i]
+    x[i + 1] += carry
+  result = ""
+  for i in range(9):
+    result = result+str(x[i])+","
+  result = result+str(x[9])
+  return result
+
+Bi = B
+for i in range(32):
+  print "{"
+  Bij = Bi
+  for j in range(8):
+    print " {"
+    print "  {",radix255(Bij[1]+Bij[0]),"},"
+    print "  {",radix255(Bij[1]-Bij[0]),"},"
+    print "  {",radix255(2*d*Bij[0]*Bij[1]),"},"
+    Bij = edwards(Bij,Bi)
+    print " },"
+  print "},"
+  for k in range(8):
+    Bi = edwards(Bi,Bi)

src/ext/ed25519/ref10/base2.h

@@ -0,0 +1,40 @@
+ {
+  { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 },
+  { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 },
+  { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 },
+ },
+ {
+  { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 },
+  { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 },
+  { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 },
+ },
+ {
+  { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 },
+  { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 },
+  { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 },
+ },
+ {
+  { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 },
+  { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 },
+  { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 },
+ },
+ {
+  { -22518993,-6692182,14201702,-8745502,-23510406,8844726,18474211,-1361450,-13062696,13821877 },
+  { -6455177,-7839871,3374702,-4740862,-27098617,-10571707,31655028,-7212327,18853322,-14220951 },
+  { 4566830,-12963868,-28974889,-12240689,-7602672,-2830569,-8514358,-10431137,2207753,-3209784 },
+ },
+ {
+  { -25154831,-4185821,29681144,7868801,-6854661,-9423865,-12437364,-663000,-31111463,-16132436 },
+  { 25576264,-2703214,7349804,-11814844,16472782,9300885,3844789,15725684,171356,6466918 },
+  { 23103977,13316479,9739013,-16149481,817875,-15038942,8965339,-14088058,-30714912,16193877 },
+ },
+ {
+  { -33521811,3180713,-2394130,14003687,-16903474,-16270840,17238398,4729455,-18074513,9256800 },
+  { -25182317,-4174131,32336398,5036987,-21236817,11360617,22616405,9761698,-19827198,630305 },
+  { -13720693,2639453,-24237460,-7406481,9494427,-5774029,-6554551,-15960994,-2449256,-14291300 },
+ },
+ {
+  { -3151181,-5046075,9282714,6866145,-31907062,-863023,-18940575,15033784,25105118,-7894876 },
+  { -24326370,15950226,-31801215,-14592823,-11662737,-5090925,1573892,-2625887,2198790,-15804619 },
+  { -3099351,10324967,-2241613,7453183,-5446979,-2735503,-13812022,-16236442,-32461234,-12290683 },
+ },

src/ext/ed25519/ref10/base2.py

@@ -0,0 +1,60 @@
+b = 256
+q = 2**255 - 19
+l = 2**252 + 27742317777372353535851937790883648493
+
+def expmod(b,e,m):
+  if e == 0: return 1
+  t = expmod(b,e/2,m)**2 % m
+  if e & 1: t = (t*b) % m
+  return t
+
+def inv(x):
+  return expmod(x,q-2,q)
+
+d = -121665 * inv(121666)
+I = expmod(2,(q-1)/4,q)
+
+def xrecover(y):
+  xx = (y*y-1) * inv(d*y*y+1)
+  x = expmod(xx,(q+3)/8,q)
+  if (x*x - xx) % q != 0: x = (x*I) % q
+  if x % 2 != 0: x = q-x
+  return x
+
+By = 4 * inv(5)
+Bx = xrecover(By)
+B = [Bx % q,By % q]
+
+def edwards(P,Q):
+  x1 = P[0]
+  y1 = P[1]
+  x2 = Q[0]
+  y2 = Q[1]
+  x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2)
+  y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2)
+  return [x3 % q,y3 % q]
+
+def radix255(x):
+  x = x % q
+  if x + x > q: x -= q
+  x = [x,0,0,0,0,0,0,0,0,0]
+  bits = [26,25,26,25,26,25,26,25,26,25]
+  for i in range(9):
+    carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i]
+    x[i] -= carry * 2**bits[i]
+    x[i + 1] += carry
+  result = ""
+  for i in range(9):
+    result = result+str(x[i])+","
+  result = result+str(x[9])
+  return result
+
+Bi = B
+
+for i in range(8):
+  print " {"
+  print "  {",radix255(Bi[1]+Bi[0]),"},"
+  print "  {",radix255(Bi[1]-Bi[0]),"},"
+  print "  {",radix255(2*d*Bi[0]*Bi[1]),"},"
+  print " },"
+  Bi = edwards(B,edwards(B,Bi))

src/ext/ed25519/ref10/blinding.c

@@ -0,0 +1,76 @@
+/* Added to ref10 for Tor. We place this in the public domain.  Alternatively,
+ * you may have it under the Creative Commons 0 "CC0" license. */
+//#include "fe.h"
+#include "ge.h"
+#include "sc.h"
+#include "crypto_hash_sha512.h"
+#include "ed25519_ref10.h"
+
+#include <string.h>
+#include "crypto.h"
+
+static void
+gettweak(unsigned char *out, const unsigned char *param)
+{
+  const char str[] = "Derive temporary signing key";
+  crypto_hash_sha512_2(out, (const unsigned char*)str, strlen(str), param, 32);
+  out[0] &= 248;  /* Is this necessary necessary ? */
+  out[31] &= 63;
+  out[31] |= 64;
+}
+
+int ed25519_ref10_blind_secret_key(unsigned char *out,
+                              const unsigned char *inp,
+                              const unsigned char *param)
+{
+  const char str[] = "Derive temporary signing key hash input";
+  unsigned char tweak[64];
+  unsigned char zero[32];
+  gettweak(tweak, param);
+
+  memset(zero, 0, 32);
+  sc_muladd(out, inp, tweak, zero);
+
+  crypto_hash_sha512_2(tweak, (const unsigned char *)str, strlen(str),
+                       inp+32, 32);
+  memcpy(out+32, tweak, 32);
+
+  memwipe(tweak, 0, sizeof(tweak));
+
+  return 0;
+}
+
+int ed25519_ref10_blind_public_key(unsigned char *out,
+                              const unsigned char *inp,
+                              const unsigned char *param)
+{
+  unsigned char tweak[64];
+  unsigned char zero[32];
+  unsigned char pkcopy[32];
+  ge_p3 A;
+  ge_p2 Aprime;
+
+  gettweak(tweak, param);
+
+  memset(zero, 0, sizeof(zero));
+  /* Not the greatest implementation of all of this.  I wish I had
+   * better-suited primitives to work with here... (but I don't wish that so
+   * strongly that I'm about to code my own ge_scalarmult_vartime). */
+
+  /* We negate the public key first, so that we can pass it to
+   * frombytes_negate_vartime, which negates it again. If there were a
+   * "ge_frombytes", we'd use that, but there isn't. */
+  memcpy(pkcopy, inp, 32);
+  pkcopy[31] ^= (1<<7);
+  ge_frombytes_negate_vartime(&A, pkcopy);
+  /* There isn't a regular ge_scalarmult -- we have to do tweak*A + zero*B. */
+  ge_double_scalarmult_vartime(&Aprime, tweak, &A, zero);
+  ge_tobytes(out, &Aprime);
+
+  memwipe(tweak, 0, sizeof(tweak));
+  memwipe(&A, 0, sizeof(A));
+  memwipe(&Aprime, 0, sizeof(Aprime));
+  memwipe(pkcopy, 0, sizeof(pkcopy));
+
+  return 0;
+}

src/ext/ed25519/ref10/crypto_hash_sha512.h

@@ -0,0 +1,30 @@
+/* Added for Tor. */
+#include <openssl/sha.h>
+
+/* Set 'out' to the 512-bit SHA512 hash of the 'len'-byte string in 'inp' */
+#define crypto_hash_sha512(out, inp, len) \
+  SHA512((inp), (len), (out))
+
+/* Set 'out' to the 512-bit SHA512 hash of the 'len1'-byte string in 'inp1',
+ * concatenated with the 'len2'-byte string in 'inp2'. */
+#define crypto_hash_sha512_2(out, inp1, len1, inp2, len2)               \
+  do {                                                                  \
+      SHA512_CTX sha_ctx_;                                              \
+      SHA512_Init(&sha_ctx_);                                           \
+      SHA512_Update(&sha_ctx_, (inp1), (len1));                         \
+      SHA512_Update(&sha_ctx_, (inp2), (len2));                         \
+      SHA512_Final((out), &sha_ctx_);                                   \
+ } while(0)
+
+/* Set 'out' to the 512-bit SHA512 hash of the 'len1'-byte string in 'inp1',
+ * concatenated with the 'len2'-byte string in 'inp2', concatenated with
+ * the 'len3'-byte string in 'len3'. */
+#define crypto_hash_sha512_3(out, inp1, len1, inp2, len2, inp3, len3)   \
+  do {                                                                  \
+      SHA512_CTX sha_ctx_;                                              \
+      SHA512_Init(&sha_ctx_);                                           \
+      SHA512_Update(&sha_ctx_, (inp1), (len1));                         \
+      SHA512_Update(&sha_ctx_, (inp2), (len2));                         \
+      SHA512_Update(&sha_ctx_, (inp3), (len3));                         \
+      SHA512_Final((out), &sha_ctx_);                                   \
+ } while(0)

src/ext/ed25519/ref10/crypto_int32.h

@@ -0,0 +1,3 @@
+/* Added for Tor. */
+#include "torint.h"
+#define crypto_int32 int32_t

src/ext/ed25519/ref10/crypto_int64.h

@@ -0,0 +1,3 @@
+/* Added for Tor. */
+#include "torint.h"
+#define crypto_int64 int64_t

src/ext/ed25519/ref10/crypto_sign.h

@@ -0,0 +1,9 @@
+/* Added for Tor */
+#define crypto_sign ed25519_ref10_sign
+#define crypto_sign_keypair ed25519_ref10_keygen
+#define crypto_sign_seckey ed25519_ref10_seckey
+#define crypto_sign_seckey_expand ed25519_ref10_seckey_expand
+#define crypto_sign_pubkey ed25519_ref10_pubkey
+#define crypto_sign_open ed25519_ref10_open
+
+#include "ed25519_ref10.h"

src/ext/ed25519/ref10/crypto_uint32.h

@@ -0,0 +1,3 @@
+/* Added for Tor. */
+#include "torint.h"
+#define crypto_uint32 uint32_t

src/ext/ed25519/ref10/crypto_uint64.h

@@ -0,0 +1,3 @@
+/* Added for Tor. */
+#include "torint.h"
+#define crypto_uint64 uint64_t

src/ext/ed25519/ref10/crypto_verify_32.h

@@ -0,0 +1,5 @@
+/* Added for Tor. */
+#include "di_ops.h"
+#define crypto_verify_32(a,b) \
+  (! tor_memeq((a), (b), 32))
+

src/ext/ed25519/ref10/d.h

@@ -0,0 +1 @@
+-10913610,13857413,-15372611,6949391,114729,-8787816,-6275908,-3247719,-18696448,-12055116

src/ext/ed25519/ref10/d.py

@@ -0,0 +1,28 @@
+q = 2**255 - 19
+
+def expmod(b,e,m):
+  if e == 0: return 1
+  t = expmod(b,e/2,m)**2 % m
+  if e & 1: t = (t*b) % m
+  return t
+
+def inv(x):
+  return expmod(x,q-2,q)
+
+def radix255(x):
+  x = x % q
+  if x + x > q: x -= q
+  x = [x,0,0,0,0,0,0,0,0,0]
+  bits = [26,25,26,25,26,25,26,25,26,25]
+  for i in range(9):
+    carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i]
+    x[i] -= carry * 2**bits[i]
+    x[i + 1] += carry
+  result = ""
+  for i in range(9):
+    result = result+str(x[i])+","
+  result = result+str(x[9])
+  return result
+
+d = -121665 * inv(121666)
+print radix255(d)

src/ext/ed25519/ref10/d2.h

@@ -0,0 +1 @@
+-21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199

src/ext/ed25519/ref10/d2.py

@@ -0,0 +1,28 @@
+q = 2**255 - 19
+
+def expmod(b,e,m):
+  if e == 0: return 1
+  t = expmod(b,e/2,m)**2 % m
+  if e & 1: t = (t*b) % m
+  return t
+
+def inv(x):
+  return expmod(x,q-2,q)
+
+def radix255(x):
+  x = x % q
+  if x + x > q: x -= q
+  x = [x,0,0,0,0,0,0,0,0,0]
+  bits = [26,25,26,25,26,25,26,25,26,25]
+  for i in range(9):
+    carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i]
+    x[i] -= carry * 2**bits[i]
+    x[i + 1] += carry
+  result = ""
+  for i in range(9):
+    result = result+str(x[i])+","
+  result = result+str(x[9])
+  return result
+
+d = -121665 * inv(121666)
+print radix255(d*2)

src/ext/ed25519/ref10/ed25519_ref10.h

@@ -0,0 +1,30 @@
+/* Added for Tor */
+#ifndef SRC_EXT_ED25519_REF10_H_INCLUDED_
+#define SRC_EXT_ED25519_REF10_H_INCLUDED_
+#include <torint.h>
+
+int ed25519_ref10_seckey(unsigned char *sk);
+int ed25519_ref10_seckey_expand(unsigned char *sk, const unsigned char *sk_seed);
+int ed25519_ref10_pubkey(unsigned char *pk,const unsigned char *sk);
+int ed25519_ref10_keygen(unsigned char *pk,unsigned char *sk);
+int ed25519_ref10_open(
+  const unsigned char *signature,
+  const unsigned char *m,uint64_t mlen,
+  const unsigned char *pk);
+int ed25519_ref10_sign(
+  unsigned char *sig,
+  const unsigned char *m,uint64_t mlen,
+  const unsigned char *sk, const unsigned char *pk);
+
+/* Added in Tor */
+int ed25519_ref10_pubkey_from_curve25519_pubkey(unsigned char *out,
+                                                const unsigned char *inp,
+                                                int signbit);
+int ed25519_ref10_blind_secret_key(unsigned char *out,
+                              const unsigned char *inp,
+                              const unsigned char *param);
+int ed25519_ref10_blind_public_key(unsigned char *out,
+                              const unsigned char *inp,
+                              const unsigned char *param);
+
+#endif

src/ext/ed25519/ref10/fe.h

@@ -0,0 +1,56 @@
+#ifndef FE_H
+#define FE_H
+
+#include "crypto_int32.h"
+
+typedef crypto_int32 fe[10];
+
+/*
+fe means field element.
+Here the field is \Z/(2^255-19).
+An element t, entries t[0]...t[9], represents the integer
+t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9].
+Bounds on each t[i] vary depending on context.
+*/
+
+#define fe_frombytes crypto_sign_ed25519_ref10_fe_frombytes
+#define fe_tobytes crypto_sign_ed25519_ref10_fe_tobytes
+#define fe_copy crypto_sign_ed25519_ref10_fe_copy
+#define fe_isnonzero crypto_sign_ed25519_ref10_fe_isnonzero
+#define fe_isnegative crypto_sign_ed25519_ref10_fe_isnegative
+#define fe_0 crypto_sign_ed25519_ref10_fe_0
+#define fe_1 crypto_sign_ed25519_ref10_fe_1
+#define fe_cswap crypto_sign_ed25519_ref10_fe_cswap
+#define fe_cmov crypto_sign_ed25519_ref10_fe_cmov
+#define fe_add crypto_sign_ed25519_ref10_fe_add
+#define fe_sub crypto_sign_ed25519_ref10_fe_sub
+#define fe_neg crypto_sign_ed25519_ref10_fe_neg
+#define fe_mul crypto_sign_ed25519_ref10_fe_mul
+#define fe_sq crypto_sign_ed25519_ref10_fe_sq
+#define fe_sq2 crypto_sign_ed25519_ref10_fe_sq2
+#define fe_mul121666 crypto_sign_ed25519_ref10_fe_mul121666
+#define fe_invert crypto_sign_ed25519_ref10_fe_invert
+#define fe_pow22523 crypto_sign_ed25519_ref10_fe_pow22523
+
+extern void fe_frombytes(fe,const unsigned char *);
+extern void fe_tobytes(unsigned char *,const fe);
+
+extern void fe_copy(fe,const fe);
+extern int fe_isnonzero(const fe);
+extern int fe_isnegative(const fe);
+extern void fe_0(fe);
+extern void fe_1(fe);
+extern void fe_cswap(fe,fe,unsigned int);
+extern void fe_cmov(fe,const fe,unsigned int);
+
+extern void fe_add(fe,const fe,const fe);
+extern void fe_sub(fe,const fe,const fe);
+extern void fe_neg(fe,const fe);
+extern void fe_mul(fe,const fe,const fe);
+extern void fe_sq(fe,const fe);
+extern void fe_sq2(fe,const fe);
+extern void fe_mul121666(fe,const fe);
+extern void fe_invert(fe,const fe);
+extern void fe_pow22523(fe,const fe);
+
+#endif

src/ext/ed25519/ref10/fe_0.c

@@ -0,0 +1,19 @@
+#include "fe.h"
+
+/*
+h = 0
+*/
+
+void fe_0(fe h)
+{
+  h[0] = 0;
+  h[1] = 0;
+  h[2] = 0;
+  h[3] = 0;
+  h[4] = 0;
+  h[5] = 0;
+  h[6] = 0;
+  h[7] = 0;
+  h[8] = 0;
+  h[9] = 0;
+}

src/ext/ed25519/ref10/fe_1.c

@@ -0,0 +1,19 @@
+#include "fe.h"
+
+/*
+h = 1
+*/
+
+void fe_1(fe h)
+{
+  h[0] = 1;
+  h[1] = 0;
+  h[2] = 0;
+  h[3] = 0;
+  h[4] = 0;
+  h[5] = 0;
+  h[6] = 0;
+  h[7] = 0;
+  h[8] = 0;
+  h[9] = 0;
+}

src/ext/ed25519/ref10/fe_add.c

@@ -0,0 +1,57 @@
+#include "fe.h"
+
+/*
+h = f + g
+Can overlap h with f or g.
+
+Preconditions:
+   |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+   |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+
+Postconditions:
+   |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+*/
+
+void fe_add(fe h,const fe f,const fe g)
+{
+  crypto_int32 f0 = f[0];
+  crypto_int32 f1 = f[1];
+  crypto_int32 f2 = f[2];
+  crypto_int32 f3 = f[3];
+  crypto_int32 f4 = f[4];
+  crypto_int32 f5 = f[5];
+  crypto_int32 f6 = f[6];
+  crypto_int32 f7 = f[7];
+  crypto_int32 f8 = f[8];
+  crypto_int32 f9 = f[9];
+  crypto_int32 g0 = g[0];
+  crypto_int32 g1 = g[1];
+  crypto_int32 g2 = g[2];
+  crypto_int32 g3 = g[3];
+  crypto_int32 g4 = g[4];
+  crypto_int32 g5 = g[5];
+  crypto_int32 g6 = g[6];
+  crypto_int32 g7 = g[7];
+  crypto_int32 g8 = g[8];
+  crypto_int32 g9 = g[9];
+  crypto_int32 h0 = f0 + g0;
+  crypto_int32 h1 = f1 + g1;
+  crypto_int32 h2 = f2 + g2;
+  crypto_int32 h3 = f3 + g3;
+  crypto_int32 h4 = f4 + g4;
+  crypto_int32 h5 = f5 + g5;
+  crypto_int32 h6 = f6 + g6;
+  crypto_int32 h7 = f7 + g7;
+  crypto_int32 h8 = f8 + g8;
+  crypto_int32 h9 = f9 + g9;
+  h[0] = h0;
+  h[1] = h1;
+  h[2] = h2;
+  h[3] = h3;
+  h[4] = h4;
+  h[5] = h5;
+  h[6] = h6;
+  h[7] = h7;
+  h[8] = h8;
+  h[9] = h9;
+}

src/ext/ed25519/ref10/fe_cmov.c

@@ -0,0 +1,63 @@
+#include "fe.h"
+
+/*
+Replace (f,g) with (g,g) if b == 1;
+replace (f,g) with (f,g) if b == 0.
+
+Preconditions: b in {0,1}.
+*/
+
+void fe_cmov(fe f,const fe g,unsigned int b)
+{
+  crypto_int32 f0 = f[0];
+  crypto_int32 f1 = f[1];
+  crypto_int32 f2 = f[2];
+  crypto_int32 f3 = f[3];
+  crypto_int32 f4 = f[4];
+  crypto_int32 f5 = f[5];
+  crypto_int32 f6 = f[6];
+  crypto_int32 f7 = f[7];
+  crypto_int32 f8 = f[8];
+  crypto_int32 f9 = f[9];
+  crypto_int32 g0 = g[0];
+  crypto_int32 g1 = g[1];
+  crypto_int32 g2 = g[2];
+  crypto_int32 g3 = g[3];
+  crypto_int32 g4 = g[4];
+  crypto_int32 g5 = g[5];
+  crypto_int32 g6 = g[6];
+  crypto_int32 g7 = g[7];
+  crypto_int32 g8 = g[8];
+  crypto_int32 g9 = g[9];
+  crypto_int32 x0 = f0 ^ g0;
+  crypto_int32 x1 = f1 ^ g1;
+  crypto_int32 x2 = f2 ^ g2;
+  crypto_int32 x3 = f3 ^ g3;
+  crypto_int32 x4 = f4 ^ g4;
+  crypto_int32 x5 = f5 ^ g5;
+  crypto_int32 x6 = f6 ^ g6;
+  crypto_int32 x7 = f7 ^ g7;
+  crypto_int32 x8 = f8 ^ g8;
+  crypto_int32 x9 = f9 ^ g9;
+  b = -b;
+  x0 &= b;
+  x1 &= b;
+  x2 &= b;
+  x3 &= b;
+  x4 &= b;
+  x5 &= b;
+  x6 &= b;
+  x7 &= b;
+  x8 &= b;
+  x9 &= b;
+  f[0] = f0 ^ x0;
+  f[1] = f1 ^ x1;
+  f[2] = f2 ^ x2;
+  f[3] = f3 ^ x3;
+  f[4] = f4 ^ x4;
+  f[5] = f5 ^ x5;
+  f[6] = f6 ^ x6;
+  f[7] = f7 ^ x7;
+  f[8] = f8 ^ x8;
+  f[9] = f9 ^ x9;
+}

src/ext/ed25519/ref10/fe_copy.c

@@ -0,0 +1,29 @@
+#include "fe.h"
+
+/*
+h = f
+*/
+
+void fe_copy(fe h,const fe f)
+{
+  crypto_int32 f0 = f[0];
+  crypto_int32 f1 = f[1];
+  crypto_int32 f2 = f[2];
+  crypto_int32 f3 = f[3];
+  crypto_int32 f4 = f[4];
+  crypto_int32 f5 = f[5];
+  crypto_int32 f6 = f[6];
+  crypto_int32 f7 = f[7];
+  crypto_int32 f8 = f[8];
+  crypto_int32 f9 = f[9];
+  h[0] = f0;
+  h[1] = f1;
+  h[2] = f2;
+  h[3] = f3;
+  h[4] = f4;
+  h[5] = f5;
+  h[6] = f6;
+  h[7] = f7;
+  h[8] = f8;
+  h[9] = f9;
+}

src/ext/ed25519/ref10/fe_frombytes.c

@@ -0,0 +1,73 @@
+#include "fe.h"
+#include "crypto_int64.h"
+#include "crypto_uint64.h"
+
+static crypto_uint64 load_3(const unsigned char *in)
+{
+  crypto_uint64 result;
+  result = (crypto_uint64) in[0];
+  result |= ((crypto_uint64) in[1]) << 8;
+  result |= ((crypto_uint64) in[2]) << 16;
+  return result;
+}
+
+static crypto_uint64 load_4(const unsigned char *in)
+{
+  crypto_uint64 result;
+  result = (crypto_uint64) in[0];
+  result |= ((crypto_uint64) in[1]) << 8;
+  result |= ((crypto_uint64) in[2]) << 16;
+  result |= ((crypto_uint64) in[3]) << 24;
+  return result;
+}
+
+/*
+Ignores top bit of h.
+*/
+
+void fe_frombytes(fe h,const unsigned char *s)
+{
+  crypto_int64 h0 = load_4(s);
+  crypto_int64 h1 = load_3(s + 4) << 6;
+  crypto_int64 h2 = load_3(s + 7) << 5;
+  crypto_int64 h3 = load_3(s + 10) << 3;
+  crypto_int64 h4 = load_3(s + 13) << 2;
+  crypto_int64 h5 = load_4(s + 16);
+  crypto_int64 h6 = load_3(s + 20) << 7;
+  crypto_int64 h7 = load_3(s + 23) << 5;
+  crypto_int64 h8 = load_3(s + 26) << 4;
+  crypto_int64 h9 = (load_3(s + 29) & 8388607) << 2;
+  crypto_int64 carry0;
+  crypto_int64 carry1;
+  crypto_int64 carry2;
+  crypto_int64 carry3;
+  crypto_int64 carry4;
+  crypto_int64 carry5;
+  crypto_int64 carry6;
+  crypto_int64 carry7;
+  crypto_int64 carry8;
+  crypto_int64 carry9;
+
+  carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;
+  carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
+  carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
+  carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;
+  carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;
+
+  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
+  carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
+  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
+  carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;
+  carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;
+
+  h[0] = (crypto_int32) h0;
+  h[1] = (crypto_int32) h1;
+  h[2] = (crypto_int32) h2;
+  h[3] = (crypto_int32) h3;
+  h[4] = (crypto_int32) h4;
+  h[5] = (crypto_int32) h5;
+  h[6] = (crypto_int32) h6;
+  h[7] = (crypto_int32) h7;
+  h[8] = (crypto_int32) h8;
+  h[9] = (crypto_int32) h9;
+}

src/ext/ed25519/ref10/fe_invert.c

@@ -0,0 +1,14 @@
+#include "fe.h"
+
+void fe_invert(fe out,const fe z)
+{
+  fe t0;
+  fe t1;
+  fe t2;
+  fe t3;
+  int i;
+
+#include "pow225521.h"
+
+  return;
+}

src/ext/ed25519/ref10/fe_isnegative.c

@@ -0,0 +1,16 @@
+#include "fe.h"
+
+/*
+return 1 if f is in {1,3,5,...,q-2}
+return 0 if f is in {0,2,4,...,q-1}
+
+Preconditions:
+   |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+*/
+
+int fe_isnegative(const fe f)
+{
+  unsigned char s[32];
+  fe_tobytes(s,f);
+  return s[0] & 1;
+}

src/ext/ed25519/ref10/fe_isnonzero.c

@@ -0,0 +1,19 @@
+#include "fe.h"
+#include "crypto_verify_32.h"
+
+/*
+return 1 if f == 0
+return 0 if f != 0
+
+Preconditions:
+   |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+*/
+
+static const unsigned char zero[32];
+
+int fe_isnonzero(const fe f)
+{
+  unsigned char s[32];
+  fe_tobytes(s,f);
+  return crypto_verify_32(s,zero);
+}

src/ext/ed25519/ref10/fe_mul.c

@@ -0,0 +1,253 @@
+#include "fe.h"
+#include "crypto_int64.h"
+
+/*
+h = f * g
+Can overlap h with f or g.
+
+Preconditions:
+   |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
+   |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
+
+Postconditions:
+   |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
+*/
+
+/*
+Notes on implementation strategy:
+
+Using schoolbook multiplication.
+Karatsuba would save a little in some cost models.
+
+Most multiplications by 2 and 19 are 32-bit precomputations;
+cheaper than 64-bit postcomputations.
+
+There is one remaining multiplication by 19 in the carry chain;
+one *19 precomputation can be merged into this,
+but the resulting data flow is considerably less clean.
+
+There are 12 carries below.
+10 of them are 2-way parallelizable and vectorizable.
+Can get away with 11 carries, but then data flow is much deeper.
+
+With tighter constraints on inputs can squeeze carries into int32.
+*/
+
+void fe_mul(fe h,const fe f,const fe g)
+{
+  crypto_int32 f0 = f[0];
+  crypto_int32 f1 = f[1];
+  crypto_int32 f2 = f[2];
+  crypto_int32 f3 = f[3];
+  crypto_int32 f4 = f[4];
+  crypto_int32 f5 = f[5];
+  crypto_int32 f6 = f[6];
+  crypto_int32 f7 = f[7];
+  crypto_int32 f8 = f[8];
+  crypto_int32 f9 = f[9];
+  crypto_int32 g0 = g[0];
+  crypto_int32 g1 = g[1];
+  crypto_int32 g2 = g[2];
+  crypto_int32 g3 = g[3];
+  crypto_int32 g4 = g[4];
+  crypto_int32 g5 = g[5];
+  crypto_int32 g6 = g[6];
+  crypto_int32 g7 = g[7];
+  crypto_int32 g8 = g[8];
+  crypto_int32 g9 = g[9];
+  crypto_int32 g1_19 = 19 * g1; /* 1.959375*2^29 */
+  crypto_int32 g2_19 = 19 * g2; /* 1.959375*2^30; still ok */
+  crypto_int32 g3_19 = 19 * g3;
+  crypto_int32 g4_19 = 19 * g4;
+  crypto_int32 g5_19 = 19 * g5;
+  crypto_int32 g6_19 = 19 * g6;
+  crypto_int32 g7_19 = 19 * g7;
+  crypto_int32 g8_19 = 19 * g8;
+  crypto_int32 g9_19 = 19 * g9;
+  crypto_int32 f1_2 = 2 * f1;
+  crypto_int32 f3_2 = 2 * f3;
+  crypto_int32 f5_2 = 2 * f5;
+  crypto_int32 f7_2 = 2 * f7;
+  crypto_int32 f9_2 = 2 * f9;
+  crypto_int64 f0g0    = f0   * (crypto_int64) g0;
+  crypto_int64 f0g1    = f0   * (crypto_int64) g1;
+  crypto_int64 f0g2    = f0   * (crypto_int64) g2;
+  crypto_int64 f0g3    = f0   * (crypto_int64) g3;
+  crypto_int64 f0g4    = f0   * (crypto_int64) g4;
+  crypto_int64 f0g5    = f0   * (crypto_int64) g5;
+  crypto_int64 f0g6    = f0   * (crypto_int64) g6;
+  crypto_int64 f0g7    = f0   * (crypto_int64) g7;
+  crypto_int64 f0g8    = f0   * (crypto_int64) g8;
+  crypto_int64 f0g9    = f0   * (crypto_int64) g9;
+  crypto_int64 f1g0    = f1   * (crypto_int64) g0;
+  crypto_int64 f1g1_2  = f1_2 * (crypto_int64) g1;
+  crypto_int64 f1g2    = f1   * (crypto_int64) g2;
+  crypto_int64 f1g3_2  = f1_2 * (crypto_int64) g3;
+  crypto_int64 f1g4    = f1   * (crypto_int64) g4;
+  crypto_int64 f1g5_2  = f1_2 * (crypto_int64) g5;
+  crypto_int64 f1g6    = f1   * (crypto_int64) g6;
+  crypto_int64 f1g7_2  = f1_2 * (crypto_int64) g7;
+  crypto_int64 f1g8    = f1   * (crypto_int64) g8;
+  crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19;
+  crypto_int64 f2g0    = f2   * (crypto_int64) g0;
+  crypto_int64 f2g1    = f2   * (crypto_int64) g1;
+  crypto_int64 f2g2    = f2   * (crypto_int64) g2;
+  crypto_int64 f2g3    = f2   * (crypto_int64) g3;
+  crypto_int64 f2g4    = f2   * (crypto_int64) g4;
+  crypto_int64 f2g5    = f2   * (crypto_int64) g5;
+  crypto_int64 f2g6    = f2   * (crypto_int64) g6;
+  crypto_int64 f2g7    = f2   * (crypto_int64) g7;
+  crypto_int64 f2g8_19 = f2   * (crypto_int64) g8_19;
+  crypto_int64 f2g9_19 = f2   * (crypto_int64) g9_19;
+  crypto_int64 f3g0    = f3   * (crypto_int64) g0;
+  crypto_int64 f3g1_2  = f3_2 * (crypto_int64) g1;
+  crypto_int64 f3g2    = f3   * (crypto_int64) g2;
+  crypto_int64 f3g3_2  = f3_2 * (crypto_int64) g3;
+  crypto_int64 f3g4    = f3   * (crypto_int64) g4;
+  crypto_int64 f3g5_2  = f3_2 * (crypto_int64) g5;
+  crypto_int64 f3g6    = f3   * (crypto_int64) g6;
+  crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19;
+  crypto_int64 f3g8_19 = f3   * (crypto_int64) g8_19;
+  crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19;
+  crypto_int64 f4g0    = f4   * (crypto_int64) g0;
+  crypto_int64 f4g1    = f4   * (crypto_int64) g1;
+  crypto_int64 f4g2    = f4   * (crypto_int64) g2;
+  crypto_int64 f4g3    = f4   * (crypto_int64) g3;
+  crypto_int64 f4g4    = f4   * (crypto_int64) g4;
+  crypto_int64 f4g5    = f4   * (crypto_int64) g5;
+  crypto_int64 f4g6_19 = f4   * (crypto_int64) g6_19;
+  crypto_int64 f4g7_19 = f4   * (crypto_int64) g7_19;
+  crypto_int64 f4g8_19 = f4   * (crypto_int64) g8_19;
+  crypto_int64 f4g9_19 = f4   * (crypto_int64) g9_19;
+  crypto_int64 f5g0    = f5   * (crypto_int64) g0;
+  crypto_int64 f5g1_2  = f5_2 * (crypto_int64) g1;
+  crypto_int64 f5g2    = f5   * (crypto_int64) g2;
+  crypto_int64 f5g3_2  = f5_2 * (crypto_int64) g3;
+  crypto_int64 f5g4    = f5   * (crypto_int64) g4;
+  crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19;
+  crypto_int64 f5g6_19 = f5   * (crypto_int64) g6_19;
+  crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19;
+  crypto_int64 f5g8_19 = f5   * (crypto_int64) g8_19;
+  crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19;
+  crypto_int64 f6g0    = f6   * (crypto_int64) g0;
+  crypto_int64 f6g1    = f6   * (crypto_int64) g1;
+  crypto_int64 f6g2    = f6   * (crypto_int64) g2;
+  crypto_int64 f6g3    = f6   * (crypto_int64) g3;
+  crypto_int64 f6g4_19 = f6   * (crypto_int64) g4_19;
+  crypto_int64 f6g5_19 = f6   * (crypto_int64) g5_19;
+  crypto_int64 f6g6_19 = f6   * (crypto_int64) g6_19;
+  crypto_int64 f6g7_19 = f6   * (crypto_int64) g7_19;
+  crypto_int64 f6g8_19 = f6   * (crypto_int64) g8_19;
+  crypto_int64 f6g9_19 = f6   * (crypto_int64) g9_19;
+  crypto_int64 f7g0    = f7   * (crypto_int64) g0;
+  crypto_int64 f7g1_2  = f7_2 * (crypto_int64) g1;
+  crypto_int64 f7g2    = f7   * (crypto_int64) g2;
+  crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19;
+  crypto_int64 f7g4_19 = f7   * (crypto_int64) g4_19;
+  crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19;
+  crypto_int64 f7g6_19 = f7   * (crypto_int64) g6_19;
+  crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19;
+  crypto_int64 f7g8_19 = f7   * (crypto_int64) g8_19;
+  crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19;
+  crypto_int64 f8g0    = f8   * (crypto_int64) g0;
+  crypto_int64 f8g1    = f8   * (crypto_int64) g1;
+  crypto_int64 f8g2_19 = f8   * (crypto_int64) g2_19;
+  crypto_int64 f8g3_19 = f8   * (crypto_int64) g3_19;
+  crypto_int64 f8g4_19 = f8   * (crypto_int64) g4_19;
+  crypto_int64 f8g5_19 = f8   * (crypto_int64) g5_19;
+  crypto_int64 f8g6_19 = f8   * (crypto_int64) g6_19;
+  crypto_int64 f8g7_19 = f8   * (crypto_int64) g7_19;
+  crypto_int64 f8g8_19 = f8   * (crypto_int64) g8_19;
+  crypto_int64 f8g9_19 = f8   * (crypto_int64) g9_19;
+  crypto_int64 f9g0    = f9   * (crypto_int64) g0;
+  crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19;
+  crypto_int64 f9g2_19 = f9   * (crypto_int64) g2_19;
+  crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19;
+  crypto_int64 f9g4_19 = f9   * (crypto_int64) g4_19;
+  crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19;
+  crypto_int64 f9g6_19 = f9   * (crypto_int64) g6_19;
+  crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19;
+  crypto_int64 f9g8_19 = f9   * (crypto_int64) g8_19;
+  crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19;
+  crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38;
+  crypto_int64 h1 = f0g1+f1g0   +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19;
+  crypto_int64 h2 = f0g2+f1g1_2 +f2g0   +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38;
+  crypto_int64 h3 = f0g3+f1g2   +f2g1   +f3g0   +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19;
+  crypto_int64 h4 = f0g4+f1g3_2 +f2g2   +f3g1_2 +f4g0   +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38;
+  crypto_int64 h5 = f0g5+f1g4   +f2g3   +f3g2   +f4g1   +f5g0   +f6g9_19+f7g8_19+f8g7_19+f9g6_19;
+  crypto_int64 h6 = f0g6+f1g5_2 +f2g4   +f3g3_2 +f4g2   +f5g1_2 +f6g0   +f7g9_38+f8g8_19+f9g7_38;
+  crypto_int64 h7 = f0g7+f1g6   +f2g5   +f3g4   +f4g3   +f5g2   +f6g1   +f7g0   +f8g9_19+f9g8_19;
+  crypto_int64 h8 = f0g8+f1g7_2 +f2g6   +f3g5_2 +f4g4   +f5g3_2 +f6g2   +f7g1_2 +f8g0   +f9g9_38;
+  crypto_int64 h9 = f0g9+f1g8   +f2g7   +f3g6   +f4g5   +f5g4   +f6g3   +f7g2   +f8g1   +f9g0   ;
+  crypto_int64 carry0;
+  crypto_int64 carry1;
+  crypto_int64 carry2;
+  crypto_int64 carry3;
+  crypto_int64 carry4;
+  crypto_int64 carry5;
+  crypto_int64 carry6;
+  crypto_int64 carry7;
+  crypto_int64 carry8;
+  crypto_int64 carry9;
+
+  /*
+  |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38))
+    i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8
+  |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19))
+    i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9
+  */
+
+  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
+  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
+  /* |h0| <= 2^25 */
+  /* |h4| <= 2^25 */
+  /* |h1| <= 1.71*2^59 */
+  /* |h5| <= 1.71*2^59 */
+
+  carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
+  carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;
+  /* |h1| <= 2^24; from now on fits into int32 */
+  /* |h5| <= 2^24; from now on fits into int32 */
+  /* |h2| <= 1.41*2^60 */
+  /* |h6| <= 1.41*2^60 */
+
+  carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
+  carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;
+  /* |h2| <= 2^25; from now on fits into int32 unchanged */
+  /* |h6| <= 2^25; from now on fits into int32 unchanged */
+  /* |h3| <= 1.71*2^59 */
+  /* |h7| <= 1.71*2^59 */
+
+  carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
+  carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;
+  /* |h3| <= 2^24; from now on fits into int32 unchanged */
+  /* |h7| <= 2^24; from now on fits into int32 unchanged */
+  /* |h4| <= 1.72*2^34 */
+  /* |h8| <= 1.41*2^60 */
+
+  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
+  carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;
+  /* |h4| <= 2^25; from now on fits into int32 unchanged */
+  /* |h8| <= 2^25; from now on fits into int32 unchanged */
+  /* |h5| <= 1.01*2^24 */
+  /* |h9| <= 1.71*2^59 */
+
+  carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;
+  /* |h9| <= 2^24; from now on fits into int32 unchanged */
+  /* |h0| <= 1.1*2^39 */
+
+  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
+  /* |h0| <= 2^25; from now on fits into int32 unchanged */
+  /* |h1| <= 1.01*2^24 */
+
+  h[0] = (crypto_int32) h0;
+  h[1] = (crypto_int32) h1;
+  h[2] = (crypto_int32) h2;
+  h[3] = (crypto_int32) h3;
+  h[4] = (crypto_int32) h4;
+  h[5] = (crypto_int32) h5;
+  h[6] = (crypto_int32) h6;
+  h[7] = (crypto_int32) h7;
+  h[8] = (crypto_int32) h8;
+  h[9] = (crypto_int32) h9;
+}

src/ext/ed25519/ref10/fe_neg.c

@@ -0,0 +1,45 @@
+#include "fe.h"
+
+/*
+h = -f
+
+Preconditions:
+   |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+
+Postconditions:
+   |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+*/
+
+void fe_neg(fe h,const fe f)
+{
+  crypto_int32 f0 = f[0];
+  crypto_int32 f1 = f[1];
+  crypto_int32 f2 = f[2];
+  crypto_int32 f3 = f[3];
+  crypto_int32 f4 = f[4];
+  crypto_int32 f5 = f[5];
+  crypto_int32 f6 = f[6];
+  crypto_int32 f7 = f[7];
+  crypto_int32 f8 = f[8];
+  crypto_int32 f9 = f[9];
+  crypto_int32 h0 = -f0;
+  crypto_int32 h1 = -f1;
+  crypto_int32 h2 = -f2;
+  crypto_int32 h3 = -f3;
+  crypto_int32 h4 = -f4;
+  crypto_int32 h5 = -f5;
+  crypto_int32 h6 = -f6;
+  crypto_int32 h7 = -f7;
+  crypto_int32 h8 = -f8;
+  crypto_int32 h9 = -f9;
+  h[0] = h0;
+  h[1] = h1;
+  h[2] = h2;
+  h[3] = h3;
+  h[4] = h4;
+  h[5] = h5;
+  h[6] = h6;
+  h[7] = h7;
+  h[8] = h8;
+  h[9] = h9;
+}

src/ext/ed25519/ref10/fe_pow22523.c

@@ -0,0 +1,13 @@
+#include "fe.h"
+
+void fe_pow22523(fe out,const fe z)
+{
+  fe t0;
+  fe t1;
+  fe t2;
+  int i;
+
+#include "pow22523.h"
+
+  return;
+}

src/ext/ed25519/ref10/fe_sq.c

@@ -0,0 +1,149 @@
+#include "fe.h"
+#include "crypto_int64.h"
+
+/*
+h = f * f
+Can overlap h with f.
+
+Preconditions:
+   |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
+
+Postconditions:
+   |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
+*/
+
+/*
+See fe_mul.c for discussion of implementation strategy.
+*/
+
+void fe_sq(fe h,const fe f)
+{
+  crypto_int32 f0 = f[0];
+  crypto_int32 f1 = f[1];
+  crypto_int32 f2 = f[2];
+  crypto_int32 f3 = f[3];
+  crypto_int32 f4 = f[4];
+  crypto_int32 f5 = f[5];
+  crypto_int32 f6 = f[6];
+  crypto_int32 f7 = f[7];
+  crypto_int32 f8 = f[8];
+  crypto_int32 f9 = f[9];
+  crypto_int32 f0_2 = 2 * f0;
+  crypto_int32 f1_2 = 2 * f1;
+  crypto_int32 f2_2 = 2 * f2;
+  crypto_int32 f3_2 = 2 * f3;
+  crypto_int32 f4_2 = 2 * f4;
+  crypto_int32 f5_2 = 2 * f5;
+  crypto_int32 f6_2 = 2 * f6;
+  crypto_int32 f7_2 = 2 * f7;
+  crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */
+  crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */
+  crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */
+  crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */
+  crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */
+  crypto_int64 f0f0    = f0   * (crypto_int64) f0;
+  crypto_int64 f0f1_2  = f0_2 * (crypto_int64) f1;
+  crypto_int64 f0f2_2  = f0_2 * (crypto_int64) f2;
+  crypto_int64 f0f3_2  = f0_2 * (crypto_int64) f3;
+  crypto_int64 f0f4_2  = f0_2 * (crypto_int64) f4;
+  crypto_int64 f0f5_2  = f0_2 * (crypto_int64) f5;
+  crypto_int64 f0f6_2  = f0_2 * (crypto_int64) f6;
+  crypto_int64 f0f7_2  = f0_2 * (crypto_int64) f7;
+  crypto_int64 f0f8_2  = f0_2 * (crypto_int64) f8;
+  crypto_int64 f0f9_2  = f0_2 * (crypto_int64) f9;
+  crypto_int64 f1f1_2  = f1_2 * (crypto_int64) f1;
+  crypto_int64 f1f2_2  = f1_2 * (crypto_int64) f2;
+  crypto_int64 f1f3_4  = f1_2 * (crypto_int64) f3_2;
+  crypto_int64 f1f4_2  = f1_2 * (crypto_int64) f4;
+  crypto_int64 f1f5_4  = f1_2 * (crypto_int64) f5_2;
+  crypto_int64 f1f6_2  = f1_2 * (crypto_int64) f6;
+  crypto_int64 f1f7_4  = f1_2 * (crypto_int64) f7_2;
+  crypto_int64 f1f8_2  = f1_2 * (crypto_int64) f8;
+  crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38;
+  crypto_int64 f2f2    = f2   * (crypto_int64) f2;
+  crypto_int64 f2f3_2  = f2_2 * (crypto_int64) f3;
+  crypto_int64 f2f4_2  = f2_2 * (crypto_int64) f4;
+  crypto_int64 f2f5_2  = f2_2 * (crypto_int64) f5;
+  crypto_int64 f2f6_2  = f2_2 * (crypto_int64) f6;
+  crypto_int64 f2f7_2  = f2_2 * (crypto_int64) f7;
+  crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19;
+  crypto_int64 f2f9_38 = f2   * (crypto_int64) f9_38;
+  crypto_int64 f3f3_2  = f3_2 * (crypto_int64) f3;
+  crypto_int64 f3f4_2  = f3_2 * (crypto_int64) f4;
+  crypto_int64 f3f5_4  = f3_2 * (crypto_int64) f5_2;
+  crypto_int64 f3f6_2  = f3_2 * (crypto_int64) f6;
+  crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38;
+  crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19;
+  crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38;
+  crypto_int64 f4f4    = f4   * (crypto_int64) f4;
+  crypto_int64 f4f5_2  = f4_2 * (crypto_int64) f5;
+  crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19;
+  crypto_int64 f4f7_38 = f4   * (crypto_int64) f7_38;
+  crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19;
+  crypto_int64 f4f9_38 = f4   * (crypto_int64) f9_38;
+  crypto_int64 f5f5_38 = f5   * (crypto_int64) f5_38;
+  crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19;
+  crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38;
+  crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19;
+  crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38;
+  crypto_int64 f6f6_19 = f6   * (crypto_int64) f6_19;
+  crypto_int64 f6f7_38 = f6   * (crypto_int64) f7_38;
+  crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19;
+  crypto_int64 f6f9_38 = f6   * (crypto_int64) f9_38;
+  crypto_int64 f7f7_38 = f7   * (crypto_int64) f7_38;
+  crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19;
+  crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38;
+  crypto_int64 f8f8_19 = f8   * (crypto_int64) f8_19;
+  crypto_int64 f8f9_38 = f8   * (crypto_int64) f9_38;
+  crypto_int64 f9f9_38 = f9   * (crypto_int64) f9_38;
+  crypto_int64 h0 = f0f0  +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38;
+  crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38;
+  crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19;
+  crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38;
+  crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2   +f5f9_76+f6f8_38+f7f7_38;
+  crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38;
+  crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19;
+  crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38;
+  crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4   +f9f9_38;
+  crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2;
+  crypto_int64 carry0;
+  crypto_int64 carry1;
+  crypto_int64 carry2;
+  crypto_int64 carry3;
+  crypto_int64 carry4;
+  crypto_int64 carry5;
+  crypto_int64 carry6;
+  crypto_int64 carry7;
+  crypto_int64 carry8;
+  crypto_int64 carry9;
+
+  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
+  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
+
+  carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
+  carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;
+
+  carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
+  carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;
+
+  carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
+  carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;
+
+  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
+  carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;
+
+  carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;
+
+  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
+
+  h[0] = (crypto_int32) h0;
+  h[1] = (crypto_int32) h1;
+  h[2] = (crypto_int32) h2;
+  h[3] = (crypto_int32) h3;
+  h[4] = (crypto_int32) h4;
+  h[5] = (crypto_int32) h5;
+  h[6] = (crypto_int32) h6;
+  h[7] = (crypto_int32) h7;
+  h[8] = (crypto_int32) h8;
+  h[9] = (crypto_int32) h9;
+}

src/ext/ed25519/ref10/fe_sq2.c

@@ -0,0 +1,160 @@
+#include "fe.h"
+#include "crypto_int64.h"
+
+/*
+h = 2 * f * f
+Can overlap h with f.
+
+Preconditions:
+   |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
+
+Postconditions:
+   |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
+*/
+
+/*
+See fe_mul.c for discussion of implementation strategy.
+*/
+
+void fe_sq2(fe h,const fe f)
+{
+  crypto_int32 f0 = f[0];
+  crypto_int32 f1 = f[1];
+  crypto_int32 f2 = f[2];
+  crypto_int32 f3 = f[3];
+  crypto_int32 f4 = f[4];
+  crypto_int32 f5 = f[5];
+  crypto_int32 f6 = f[6];
+  crypto_int32 f7 = f[7];
+  crypto_int32 f8 = f[8];
+  crypto_int32 f9 = f[9];
+  crypto_int32 f0_2 = 2 * f0;
+  crypto_int32 f1_2 = 2 * f1;
+  crypto_int32 f2_2 = 2 * f2;
+  crypto_int32 f3_2 = 2 * f3;
+  crypto_int32 f4_2 = 2 * f4;
+  crypto_int32 f5_2 = 2 * f5;
+  crypto_int32 f6_2 = 2 * f6;
+  crypto_int32 f7_2 = 2 * f7;
+  crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */
+  crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */
+  crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */
+  crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */
+  crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */
+  crypto_int64 f0f0    = f0   * (crypto_int64) f0;
+  crypto_int64 f0f1_2  = f0_2 * (crypto_int64) f1;
+  crypto_int64 f0f2_2  = f0_2 * (crypto_int64) f2;
+  crypto_int64 f0f3_2  = f0_2 * (crypto_int64) f3;
+  crypto_int64 f0f4_2  = f0_2 * (crypto_int64) f4;
+  crypto_int64 f0f5_2  = f0_2 * (crypto_int64) f5;
+  crypto_int64 f0f6_2  = f0_2 * (crypto_int64) f6;
+  crypto_int64 f0f7_2  = f0_2 * (crypto_int64) f7;
+  crypto_int64 f0f8_2  = f0_2 * (crypto_int64) f8;
+  crypto_int64 f0f9_2  = f0_2 * (crypto_int64) f9;
+  crypto_int64 f1f1_2  = f1_2 * (crypto_int64) f1;
+  crypto_int64 f1f2_2  = f1_2 * (crypto_int64) f2;
+  crypto_int64 f1f3_4  = f1_2 * (crypto_int64) f3_2;
+  crypto_int64 f1f4_2  = f1_2 * (crypto_int64) f4;
+  crypto_int64 f1f5_4  = f1_2 * (crypto_int64) f5_2;
+  crypto_int64 f1f6_2  = f1_2 * (crypto_int64) f6;
+  crypto_int64 f1f7_4  = f1_2 * (crypto_int64) f7_2;
+  crypto_int64 f1f8_2  = f1_2 * (crypto_int64) f8;
+  crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38;
+  crypto_int64 f2f2    = f2   * (crypto_int64) f2;
+  crypto_int64 f2f3_2  = f2_2 * (crypto_int64) f3;
+  crypto_int64 f2f4_2  = f2_2 * (crypto_int64) f4;
+  crypto_int64 f2f5_2  = f2_2 * (crypto_int64) f5;
+  crypto_int64 f2f6_2  = f2_2 * (crypto_int64) f6;
+  crypto_int64 f2f7_2  = f2_2 * (crypto_int64) f7;
+  crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19;
+  crypto_int64 f2f9_38 = f2   * (crypto_int64) f9_38;
+  crypto_int64 f3f3_2  = f3_2 * (crypto_int64) f3;
+  crypto_int64 f3f4_2  = f3_2 * (crypto_int64) f4;
+  crypto_int64 f3f5_4  = f3_2 * (crypto_int64) f5_2;
+  crypto_int64 f3f6_2  = f3_2 * (crypto_int64) f6;
+  crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38;
+  crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19;
+  crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38;
+  crypto_int64 f4f4    = f4   * (crypto_int64) f4;
+  crypto_int64 f4f5_2  = f4_2 * (crypto_int64) f5;
+  crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19;
+  crypto_int64 f4f7_38 = f4   * (crypto_int64) f7_38;
+  crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19;
+  crypto_int64 f4f9_38 = f4   * (crypto_int64) f9_38;
+  crypto_int64 f5f5_38 = f5   * (crypto_int64) f5_38;
+  crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19;
+  crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38;
+  crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19;
+  crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38;
+  crypto_int64 f6f6_19 = f6   * (crypto_int64) f6_19;
+  crypto_int64 f6f7_38 = f6   * (crypto_int64) f7_38;
+  crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19;
+  crypto_int64 f6f9_38 = f6   * (crypto_int64) f9_38;
+  crypto_int64 f7f7_38 = f7   * (crypto_int64) f7_38;
+  crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19;
+  crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38;
+  crypto_int64 f8f8_19 = f8   * (crypto_int64) f8_19;
+  crypto_int64 f8f9_38 = f8   * (crypto_int64) f9_38;
+  crypto_int64 f9f9_38 = f9   * (crypto_int64) f9_38;
+  crypto_int64 h0 = f0f0  +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38;
+  crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38;
+  crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19;
+  crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38;
+  crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2   +f5f9_76+f6f8_38+f7f7_38;
+  crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38;
+  crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19;
+  crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38;
+  crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4   +f9f9_38;
+  crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2;
+  crypto_int64 carry0;
+  crypto_int64 carry1;
+  crypto_int64 carry2;
+  crypto_int64 carry3;
+  crypto_int64 carry4;
+  crypto_int64 carry5;
+  crypto_int64 carry6;
+  crypto_int64 carry7;
+  crypto_int64 carry8;
+  crypto_int64 carry9;
+
+  h0 += h0;
+  h1 += h1;
+  h2 += h2;
+  h3 += h3;
+  h4 += h4;
+  h5 += h5;
+  h6 += h6;
+  h7 += h7;
+  h8 += h8;
+  h9 += h9;
+
+  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
+  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
+
+  carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
+  carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;
+
+  carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
+  carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;
+
+  carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
+  carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;
+
+  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
+  carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;
+
+  carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;
+
+  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
+
+  h[0] = (crypto_int32) h0;
+  h[1] = (crypto_int32) h1;
+  h[2] = (crypto_int32) h2;
+  h[3] = (crypto_int32) h3;
+  h[4] = (crypto_int32) h4;
+  h[5] = (crypto_int32) h5;
+  h[6] = (crypto_int32) h6;
+  h[7] = (crypto_int32) h7;
+  h[8] = (crypto_int32) h8;
+  h[9] = (crypto_int32) h9;
+}

src/ext/ed25519/ref10/fe_sub.c

@@ -0,0 +1,57 @@
+#include "fe.h"
+
+/*
+h = f - g
+Can overlap h with f or g.
+
+Preconditions:
+   |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+   |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+
+Postconditions:
+   |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+*/
+
+void fe_sub(fe h,const fe f,const fe g)
+{
+  crypto_int32 f0 = f[0];
+  crypto_int32 f1 = f[1];
+  crypto_int32 f2 = f[2];
+  crypto_int32 f3 = f[3];
+  crypto_int32 f4 = f[4];
+  crypto_int32 f5 = f[5];
+  crypto_int32 f6 = f[6];
+  crypto_int32 f7 = f[7];
+  crypto_int32 f8 = f[8];
+  crypto_int32 f9 = f[9];
+  crypto_int32 g0 = g[0];
+  crypto_int32 g1 = g[1];
+  crypto_int32 g2 = g[2];
+  crypto_int32 g3 = g[3];
+  crypto_int32 g4 = g[4];
+  crypto_int32 g5 = g[5];
+  crypto_int32 g6 = g[6];
+  crypto_int32 g7 = g[7];
+  crypto_int32 g8 = g[8];
+  crypto_int32 g9 = g[9];
+  crypto_int32 h0 = f0 - g0;
+  crypto_int32 h1 = f1 - g1;
+  crypto_int32 h2 = f2 - g2;
+  crypto_int32 h3 = f3 - g3;
+  crypto_int32 h4 = f4 - g4;
+  crypto_int32 h5 = f5 - g5;
+  crypto_int32 h6 = f6 - g6;
+  crypto_int32 h7 = f7 - g7;
+  crypto_int32 h8 = f8 - g8;
+  crypto_int32 h9 = f9 - g9;
+  h[0] = h0;
+  h[1] = h1;
+  h[2] = h2;
+  h[3] = h3;
+  h[4] = h4;
+  h[5] = h5;
+  h[6] = h6;
+  h[7] = h7;
+  h[8] = h8;
+  h[9] = h9;
+}

src/ext/ed25519/ref10/fe_tobytes.c

@@ -0,0 +1,119 @@
+#include "fe.h"
+
+/*
+Preconditions:
+  |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+
+Write p=2^255-19; q=floor(h/p).
+Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))).
+
+Proof:
+  Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4.
+  Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4.
+
+  Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9).
+  Then 0<y<1.
+
+  Write r=h-pq.
+  Have 0<=r<=p-1=2^255-20.
+  Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1.
+
+  Write x=r+19(2^-255)r+y.
+  Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q.
+
+  Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1))
+  so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q.
+*/
+
+void fe_tobytes(unsigned char *s,const fe h)
+{
+  crypto_int32 h0 = h[0];
+  crypto_int32 h1 = h[1];
+  crypto_int32 h2 = h[2];
+  crypto_int32 h3 = h[3];
+  crypto_int32 h4 = h[4];
+  crypto_int32 h5 = h[5];
+  crypto_int32 h6 = h[6];
+  crypto_int32 h7 = h[7];
+  crypto_int32 h8 = h[8];
+  crypto_int32 h9 = h[9];
+  crypto_int32 q;
+  crypto_int32 carry0;
+  crypto_int32 carry1;
+  crypto_int32 carry2;
+  crypto_int32 carry3;
+  crypto_int32 carry4;
+  crypto_int32 carry5;
+  crypto_int32 carry6;
+  crypto_int32 carry7;
+  crypto_int32 carry8;
+  crypto_int32 carry9;
+
+  q = (19 * h9 + (((crypto_int32) 1) << 24)) >> 25;
+  q = (h0 + q) >> 26;
+  q = (h1 + q) >> 25;
+  q = (h2 + q) >> 26;
+  q = (h3 + q) >> 25;
+  q = (h4 + q) >> 26;
+  q = (h5 + q) >> 25;
+  q = (h6 + q) >> 26;
+  q = (h7 + q) >> 25;
+  q = (h8 + q) >> 26;
+  q = (h9 + q) >> 25;
+
+  /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */
+  h0 += 19 * q;
+  /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */
+
+  carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26;
+  carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25;
+  carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26;
+  carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25;
+  carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26;
+  carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25;
+  carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26;
+  carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25;
+  carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26;
+  carry9 = h9 >> 25;               h9 -= carry9 << 25;
+                  /* h10 = carry9 */
+
+  /*
+  Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20.
+  Have h0+...+2^230 h9 between 0 and 2^255-1;
+  evidently 2^255 h10-2^255 q = 0.
+  Goal: Output h0+...+2^230 h9.
+  */
+
+  s[0] = h0 >> 0;
+  s[1] = h0 >> 8;
+  s[2] = h0 >> 16;
+  s[3] = (h0 >> 24) | (h1 << 2);
+  s[4] = h1 >> 6;
+  s[5] = h1 >> 14;
+  s[6] = (h1 >> 22) | (h2 << 3);
+  s[7] = h2 >> 5;
+  s[8] = h2 >> 13;
+  s[9] = (h2 >> 21) | (h3 << 5);
+  s[10] = h3 >> 3;
+  s[11] = h3 >> 11;
+  s[12] = (h3 >> 19) | (h4 << 6);
+  s[13] = h4 >> 2;
+  s[14] = h4 >> 10;
+  s[15] = h4 >> 18;
+  s[16] = h5 >> 0;
+  s[17] = h5 >> 8;
+  s[18] = h5 >> 16;
+  s[19] = (h5 >> 24) | (h6 << 1);
+  s[20] = h6 >> 7;
+  s[21] = h6 >> 15;
+  s[22] = (h6 >> 23) | (h7 << 3);
+  s[23] = h7 >> 5;
+  s[24] = h7 >> 13;
+  s[25] = (h7 >> 21) | (h8 << 4);
+  s[26] = h8 >> 4;
+  s[27] = h8 >> 12;
+  s[28] = (h8 >> 20) | (h9 << 6);
+  s[29] = h9 >> 2;
+  s[30] = h9 >> 10;
+  s[31] = h9 >> 18;
+}

src/ext/ed25519/ref10/ge.h

@@ -0,0 +1,95 @@
+#ifndef GE_H
+#define GE_H
+
+/*
+ge means group element.
+
+Here the group is the set of pairs (x,y) of field elements (see fe.h)
+satisfying -x^2 + y^2 = 1 + d x^2y^2
+where d = -121665/121666.
+
+Representations:
+  ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
+  ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
+  ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
+  ge_precomp (Duif): (y+x,y-x,2dxy)
+*/
+
+#include "fe.h"
+
+typedef struct {
+  fe X;
+  fe Y;
+  fe Z;
+} ge_p2;
+
+typedef struct {
+  fe X;
+  fe Y;
+  fe Z;
+  fe T;
+} ge_p3;
+
+typedef struct {
+  fe X;
+  fe Y;
+  fe Z;
+  fe T;
+} ge_p1p1;
+
+typedef struct {
+  fe yplusx;
+  fe yminusx;
+  fe xy2d;
+} ge_precomp;
+
+typedef struct {
+  fe YplusX;
+  fe YminusX;
+  fe Z;
+  fe T2d;
+} ge_cached;
+
+#define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime
+#define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes
+#define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes
+
+#define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0
+#define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0
+#define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0
+#define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2
+#define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached
+#define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2
+#define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3
+#define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl
+#define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl
+
+#define ge_madd crypto_sign_ed25519_ref10_ge_madd
+#define ge_msub crypto_sign_ed25519_ref10_ge_msub
+#define ge_add crypto_sign_ed25519_ref10_ge_add
+#define ge_sub crypto_sign_ed25519_ref10_ge_sub
+#define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base
+#define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime
+
+extern void ge_tobytes(unsigned char *,const ge_p2 *);
+extern void ge_p3_tobytes(unsigned char *,const ge_p3 *);
+extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *);
+
+extern void ge_p2_0(ge_p2 *);
+extern void ge_p3_0(ge_p3 *);
+extern void ge_precomp_0(ge_precomp *);
+extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *);
+extern void ge_p3_to_cached(ge_cached *,const ge_p3 *);
+extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *);
+extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *);
+extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *);
+extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *);
+
+extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *);
+extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *);
+extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *);
+extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *);
+extern void ge_scalarmult_base(ge_p3 *,const unsigned char *);
+extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *);
+
+#endif

src/ext/ed25519/ref10/ge_add.c

@@ -0,0 +1,11 @@
+#include "ge.h"
+
+/*
+r = p + q
+*/
+
+void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q)
+{
+  fe t0;
+#include "ge_add.h"
+}

src/ext/ed25519/ref10/ge_add.h

@@ -0,0 +1,97 @@
+
+/* qhasm: enter ge_add */
+
+/* qhasm: fe X1 */
+
+/* qhasm: fe Y1 */
+
+/* qhasm: fe Z1 */
+
+/* qhasm: fe Z2 */
+
+/* qhasm: fe T1 */
+
+/* qhasm: fe ZZ */
+
+/* qhasm: fe YpX2 */
+
+/* qhasm: fe YmX2 */
+
+/* qhasm: fe T2d2 */
+
+/* qhasm: fe X3 */
+
+/* qhasm: fe Y3 */
+
+/* qhasm: fe Z3 */
+
+/* qhasm: fe T3 */
+
+/* qhasm: fe YpX1 */
+
+/* qhasm: fe YmX1 */
+
+/* qhasm: fe A */
+
+/* qhasm: fe B */
+
+/* qhasm: fe C */
+
+/* qhasm: fe D */
+
+/* qhasm: YpX1 = Y1+X1 */
+/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
+/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
+fe_add(r->X,p->Y,p->X);
+
+/* qhasm: YmX1 = Y1-X1 */
+/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
+/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
+fe_sub(r->Y,p->Y,p->X);
+
+/* qhasm: A = YpX1*YpX2 */
+/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YpX2=fe#15); */
+/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<YpX2=q->YplusX); */
+fe_mul(r->Z,r->X,q->YplusX);
+
+/* qhasm: B = YmX1*YmX2 */
+/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YmX2=fe#16); */
+/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<YmX2=q->YminusX); */
+fe_mul(r->Y,r->Y,q->YminusX);
+
+/* qhasm: C = T2d2*T1 */
+/* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */
+/* asm 2: fe_mul(>C=r->T,<T2d2=q->T2d,<T1=p->T); */
+fe_mul(r->T,q->T2d,p->T);
+
+/* qhasm: ZZ = Z1*Z2 */
+/* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */
+/* asm 2: fe_mul(>ZZ=r->X,<Z1=p->Z,<Z2=q->Z); */
+fe_mul(r->X,p->Z,q->Z);
+
+/* qhasm: D = 2*ZZ */
+/* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */
+/* asm 2: fe_add(>D=t0,<ZZ=r->X,<ZZ=r->X); */
+fe_add(t0,r->X,r->X);
+
+/* qhasm: X3 = A-B */
+/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
+/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
+fe_sub(r->X,r->Z,r->Y);
+
+/* qhasm: Y3 = A+B */
+/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
+/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
+fe_add(r->Y,r->Z,r->Y);
+
+/* qhasm: Z3 = D+C */
+/* asm 1: fe_add(>Z3=fe#3,<D=fe#5,<C=fe#4); */
+/* asm 2: fe_add(>Z3=r->Z,<D=t0,<C=r->T); */
+fe_add(r->Z,t0,r->T);
+
+/* qhasm: T3 = D-C */
+/* asm 1: fe_sub(>T3=fe#4,<D=fe#5,<C=fe#4); */
+/* asm 2: fe_sub(>T3=r->T,<D=t0,<C=r->T); */
+fe_sub(r->T,t0,r->T);
+
+/* qhasm: return */

src/ext/ed25519/ref10/ge_add.q

@@ -0,0 +1,49 @@
+:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d:
+fe r:var/r=fe:
+
+enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18:
+return:nofallthrough:<X3=fe#1:<Y3=fe#2:<Z3=fe#3:<T3=fe#4:leave:
+
+h=f+g:<f=fe:<g=fe:>h=fe:asm/fe_add(>h,<f,<g);:
+h=f-g:<f=fe:<g=fe:>h=fe:asm/fe_sub(>h,<f,<g);:
+h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);:
+h=f^2:<f=fe:>h=fe:asm/fe_sq(>h,<f);:
+h=2*g:<g=fe:>h=fe:asm/fe_add(>h,<g,<g);:
+
+:
+
+enter ge_add
+
+fe X1
+fe Y1
+fe Z1
+fe Z2
+fe T1
+fe ZZ
+fe YpX2
+fe YmX2
+fe T2d2
+fe X3
+fe Y3
+fe Z3
+fe T3
+fe YpX1
+fe YmX1
+fe A
+fe B
+fe C
+fe D
+
+YpX1 = Y1+X1
+YmX1 = Y1-X1
+A = YpX1*YpX2
+B = YmX1*YmX2
+C = T2d2*T1
+ZZ = Z1*Z2
+D = 2*ZZ
+X3 = A-B
+Y3 = A+B
+Z3 = D+C
+T3 = D-C
+
+return

src/ext/ed25519/ref10/ge_double_scalarmult.c

@@ -0,0 +1,96 @@
+#include "ge.h"
+
+static void slide(signed char *r,const unsigned char *a)
+{
+  int i;
+  int b;
+  int k;
+
+  for (i = 0;i < 256;++i)
+    r[i] = 1 & (a[i >> 3] >> (i & 7));
+
+  for (i = 0;i < 256;++i)
+    if (r[i]) {
+      for (b = 1;b <= 6 && i + b < 256;++b) {
+        if (r[i + b]) {
+          if (r[i] + (r[i + b] << b) <= 15) {
+            r[i] += r[i + b] << b; r[i + b] = 0;
+          } else if (r[i] - (r[i + b] << b) >= -15) {
+            r[i] -= r[i + b] << b;
+            for (k = i + b;k < 256;++k) {
+              if (!r[k]) {
+                r[k] = 1;
+                break;
+              }
+              r[k] = 0;
+            }
+          } else
+            break;
+        }
+      }
+    }
+
+}
+
+static ge_precomp Bi[8] = {
+#include "base2.h"
+} ;
+
+/*
+r = a * A + b * B
+where a = a[0]+256*a[1]+...+256^31 a[31].
+and b = b[0]+256*b[1]+...+256^31 b[31].
+B is the Ed25519 base point (x,4/5) with x positive.
+*/
+
+void ge_double_scalarmult_vartime(ge_p2 *r,const unsigned char *a,const ge_p3 *A,const unsigned char *b)
+{
+  signed char aslide[256];
+  signed char bslide[256];
+  ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */
+  ge_p1p1 t;
+  ge_p3 u;
+  ge_p3 A2;
+  int i;
+
+  slide(aslide,a);
+  slide(bslide,b);
+
+  ge_p3_to_cached(&Ai[0],A);
+  ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t);
+  ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u);
+  ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u);
+  ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u);
+  ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u);
+  ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u);
+  ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u);
+  ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u);
+
+  ge_p2_0(r);
+
+  for (i = 255;i >= 0;--i) {
+    if (aslide[i] || bslide[i]) break;
+  }
+
+  for (;i >= 0;--i) {
+    ge_p2_dbl(&t,r);
+
+    if (aslide[i] > 0) {
+      ge_p1p1_to_p3(&u,&t);
+      ge_add(&t,&u,&Ai[aslide[i]/2]);
+    } else if (aslide[i] < 0) {
+      ge_p1p1_to_p3(&u,&t);
+      ge_sub(&t,&u,&Ai[(-aslide[i])/2]);
+    }
+
+    if (bslide[i] > 0) {
+      ge_p1p1_to_p3(&u,&t);
+      ge_madd(&t,&u,&Bi[bslide[i]/2]);
+    } else if (bslide[i] < 0) {
+      ge_p1p1_to_p3(&u,&t);
+      ge_msub(&t,&u,&Bi[(-bslide[i])/2]);
+    }
+
+    ge_p1p1_to_p2(r,&t);
+  }
+}

src/ext/ed25519/ref10/ge_frombytes.c

@@ -0,0 +1,50 @@
+#include "ge.h"
+
+static const fe d = {
+#include "d.h"
+} ;
+
+static const fe sqrtm1 = {
+#include "sqrtm1.h"
+} ;
+
+int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s)
+{
+  fe u;
+  fe v;
+  fe v3;
+  fe vxx;
+  fe check;
+
+  fe_frombytes(h->Y,s);
+  fe_1(h->Z);
+  fe_sq(u,h->Y);
+  fe_mul(v,u,d);
+  fe_sub(u,u,h->Z);       /* u = y^2-1 */
+  fe_add(v,v,h->Z);       /* v = dy^2+1 */
+
+  fe_sq(v3,v);
+  fe_mul(v3,v3,v);        /* v3 = v^3 */
+  fe_sq(h->X,v3);
+  fe_mul(h->X,h->X,v);
+  fe_mul(h->X,h->X,u);    /* x = uv^7 */
+
+  fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */
+  fe_mul(h->X,h->X,v3);
+  fe_mul(h->X,h->X,u);    /* x = uv^3(uv^7)^((q-5)/8) */
+
+  fe_sq(vxx,h->X);
+  fe_mul(vxx,vxx,v);
+  fe_sub(check,vxx,u);    /* vx^2-u */
+  if (fe_isnonzero(check)) {
+    fe_add(check,vxx,u);  /* vx^2+u */
+    if (fe_isnonzero(check)) return -1;
+    fe_mul(h->X,h->X,sqrtm1);
+  }
+
+  if (fe_isnegative(h->X) == (s[31] >> 7))
+    fe_neg(h->X,h->X);
+
+  fe_mul(h->T,h->X,h->Y);
+  return 0;
+}

src/ext/ed25519/ref10/ge_madd.c

@@ -0,0 +1,11 @@
+#include "ge.h"
+
+/*
+r = p + q
+*/
+
+void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q)
+{
+  fe t0;
+#include "ge_madd.h"
+}

src/ext/ed25519/ref10/ge_madd.h

@@ -0,0 +1,88 @@
+
+/* qhasm: enter ge_madd */
+
+/* qhasm: fe X1 */
+
+/* qhasm: fe Y1 */
+
+/* qhasm: fe Z1 */
+
+/* qhasm: fe T1 */
+
+/* qhasm: fe ypx2 */
+
+/* qhasm: fe ymx2 */
+
+/* qhasm: fe xy2d2 */
+
+/* qhasm: fe X3 */
+
+/* qhasm: fe Y3 */
+
+/* qhasm: fe Z3 */
+
+/* qhasm: fe T3 */
+
+/* qhasm: fe YpX1 */
+
+/* qhasm: fe YmX1 */
+
+/* qhasm: fe A */
+
+/* qhasm: fe B */
+
+/* qhasm: fe C */
+
+/* qhasm: fe D */
+
+/* qhasm: YpX1 = Y1+X1 */
+/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
+/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
+fe_add(r->X,p->Y,p->X);
+
+/* qhasm: YmX1 = Y1-X1 */
+/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
+/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
+fe_sub(r->Y,p->Y,p->X);
+
+/* qhasm: A = YpX1*ypx2 */
+/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<ypx2=fe#15); */
+/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<ypx2=q->yplusx); */
+fe_mul(r->Z,r->X,q->yplusx);
+
+/* qhasm: B = YmX1*ymx2 */
+/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<ymx2=fe#16); */
+/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<ymx2=q->yminusx); */
+fe_mul(r->Y,r->Y,q->yminusx);
+
+/* qhasm: C = xy2d2*T1 */
+/* asm 1: fe_mul(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */
+/* asm 2: fe_mul(>C=r->T,<xy2d2=q->xy2d,<T1=p->T); */
+fe_mul(r->T,q->xy2d,p->T);
+
+/* qhasm: D = 2*Z1 */
+/* asm 1: fe_add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */
+/* asm 2: fe_add(>D=t0,<Z1=p->Z,<Z1=p->Z); */
+fe_add(t0,p->Z,p->Z);
+
+/* qhasm: X3 = A-B */
+/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
+/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
+fe_sub(r->X,r->Z,r->Y);
+
+/* qhasm: Y3 = A+B */
+/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
+/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
+fe_add(r->Y,r->Z,r->Y);
+
+/* qhasm: Z3 = D+C */
+/* asm 1: fe_add(>Z3=fe#3,<D=fe#5,<C=fe#4); */
+/* asm 2: fe_add(>Z3=r->Z,<D=t0,<C=r->T); */
+fe_add(r->Z,t0,r->T);
+
+/* qhasm: T3 = D-C */
+/* asm 1: fe_sub(>T3=fe#4,<D=fe#5,<C=fe#4); */
+/* asm 2: fe_sub(>T3=r->T,<D=t0,<C=r->T); */
+fe_sub(r->T,t0,r->T);
+
+/* qhasm: return */

src/ext/ed25519/ref10/ge_madd.q

@@ -0,0 +1,46 @@
+:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d:
+fe r:var/r=fe:
+
+enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17:
+return:nofallthrough:<X3=fe#1:<Y3=fe#2:<Z3=fe#3:<T3=fe#4:leave:
+
+h=f+g:<f=fe:<g=fe:>h=fe:asm/fe_add(>h,<f,<g);:
+h=f-g:<f=fe:<g=fe:>h=fe:asm/fe_sub(>h,<f,<g);:
+h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);:
+h=f^2:<f=fe:>h=fe:asm/fe_sq(>h,<f);:
+h=2*g:<g=fe:>h=fe:asm/fe_add(>h,<g,<g);:
+
+:
+
+enter ge_madd
+
+fe X1
+fe Y1
+fe Z1
+fe T1
+fe ypx2
+fe ymx2
+fe xy2d2
+fe X3
+fe Y3
+fe Z3
+fe T3
+fe YpX1
+fe YmX1
+fe A
+fe B
+fe C
+fe D
+
+YpX1 = Y1+X1
+YmX1 = Y1-X1
+A = YpX1*ypx2
+B = YmX1*ymx2
+C = xy2d2*T1
+D = 2*Z1
+X3 = A-B
+Y3 = A+B
+Z3 = D+C
+T3 = D-C
+
+return

src/ext/ed25519/ref10/ge_msub.c

@@ -0,0 +1,11 @@
+#include "ge.h"
+
+/*
+r = p - q
+*/
+
+void ge_msub(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q)
+{
+  fe t0;
+#include "ge_msub.h"
+}

src/ext/ed25519/ref10/ge_msub.h

@@ -0,0 +1,88 @@
+
+/* qhasm: enter ge_msub */
+
+/* qhasm: fe X1 */
+
+/* qhasm: fe Y1 */
+
+/* qhasm: fe Z1 */
+
+/* qhasm: fe T1 */
+
+/* qhasm: fe ypx2 */
+
+/* qhasm: fe ymx2 */
+
+/* qhasm: fe xy2d2 */
+
+/* qhasm: fe X3 */
+
+/* qhasm: fe Y3 */
+
+/* qhasm: fe Z3 */
+
+/* qhasm: fe T3 */
+
+/* qhasm: fe YpX1 */
+
+/* qhasm: fe YmX1 */
+
+/* qhasm: fe A */
+
+/* qhasm: fe B */
+
+/* qhasm: fe C */
+
+/* qhasm: fe D */
+
+/* qhasm: YpX1 = Y1+X1 */
+/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
+/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
+fe_add(r->X,p->Y,p->X);
+
+/* qhasm: YmX1 = Y1-X1 */
+/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
+/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
+fe_sub(r->Y,p->Y,p->X);
+
+/* qhasm: A = YpX1*ymx2 */
+/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<ymx2=fe#16); */
+/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<ymx2=q->yminusx); */
+fe_mul(r->Z,r->X,q->yminusx);
+
+/* qhasm: B = YmX1*ypx2 */
+/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<ypx2=fe#15); */
+/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<ypx2=q->yplusx); */
+fe_mul(r->Y,r->Y,q->yplusx);
+
+/* qhasm: C = xy2d2*T1 */
+/* asm 1: fe_mul(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */
+/* asm 2: fe_mul(>C=r->T,<xy2d2=q->xy2d,<T1=p->T); */
+fe_mul(r->T,q->xy2d,p->T);
+
+/* qhasm: D = 2*Z1 */
+/* asm 1: fe_add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */
+/* asm 2: fe_add(>D=t0,<Z1=p->Z,<Z1=p->Z); */
+fe_add(t0,p->Z,p->Z);
+
+/* qhasm: X3 = A-B */
+/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
+/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
+fe_sub(r->X,r->Z,r->Y);
+
+/* qhasm: Y3 = A+B */
+/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
+/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
+fe_add(r->Y,r->Z,r->Y);
+
+/* qhasm: Z3 = D-C */
+/* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */
+/* asm 2: fe_sub(>Z3=r->Z,<D=t0,<C=r->T); */
+fe_sub(r->Z,t0,r->T);
+
+/* qhasm: T3 = D+C */
+/* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */
+/* asm 2: fe_add(>T3=r->T,<D=t0,<C=r->T); */
+fe_add(r->T,t0,r->T);
+
+/* qhasm: return */

src/ext/ed25519/ref10/ge_msub.q

@@ -0,0 +1,46 @@
+:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d:
+fe r:var/r=fe:
+
+enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17:
+return:nofallthrough:<X3=fe#1:<Y3=fe#2:<Z3=fe#3:<T3=fe#4:leave:
+
+h=f+g:<f=fe:<g=fe:>h=fe:asm/fe_add(>h,<f,<g);:
+h=f-g:<f=fe:<g=fe:>h=fe:asm/fe_sub(>h,<f,<g);:
+h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);:
+h=f^2:<f=fe:>h=fe:asm/fe_sq(>h,<f);:
+h=2*g:<g=fe:>h=fe:asm/fe_add(>h,<g,<g);:
+
+:
+
+enter ge_msub
+
+fe X1
+fe Y1
+fe Z1
+fe T1
+fe ypx2
+fe ymx2
+fe xy2d2
+fe X3
+fe Y3
+fe Z3
+fe T3
+fe YpX1
+fe YmX1
+fe A
+fe B
+fe C
+fe D
+
+YpX1 = Y1+X1
+YmX1 = Y1-X1
+A = YpX1*ymx2
+B = YmX1*ypx2
+C = xy2d2*T1
+D = 2*Z1
+X3 = A-B
+Y3 = A+B
+Z3 = D-C
+T3 = D+C
+
+return

src/ext/ed25519/ref10/ge_p1p1_to_p2.c

@@ -0,0 +1,12 @@
+#include "ge.h"
+
+/*
+r = p
+*/
+
+extern void ge_p1p1_to_p2(ge_p2 *r,const ge_p1p1 *p)
+{
+  fe_mul(r->X,p->X,p->T);
+  fe_mul(r->Y,p->Y,p->Z);
+  fe_mul(r->Z,p->Z,p->T);
+}

src/ext/ed25519/ref10/ge_p1p1_to_p3.c

@@ -0,0 +1,13 @@
+#include "ge.h"
+
+/*
+r = p
+*/
+
+extern void ge_p1p1_to_p3(ge_p3 *r,const ge_p1p1 *p)
+{
+  fe_mul(r->X,p->X,p->T);
+  fe_mul(r->Y,p->Y,p->Z);
+  fe_mul(r->Z,p->Z,p->T);
+  fe_mul(r->T,p->X,p->Y);
+}

src/ext/ed25519/ref10/ge_p2_0.c

@@ -0,0 +1,8 @@
+#include "ge.h"
+
+void ge_p2_0(ge_p2 *h)
+{
+  fe_0(h->X);
+  fe_1(h->Y);
+  fe_1(h->Z);
+}

src/ext/ed25519/ref10/ge_p2_dbl.c

@@ -0,0 +1,11 @@
+#include "ge.h"
+
+/*
+r = 2 * p
+*/
+
+void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p)
+{
+  fe t0;
+#include "ge_p2_dbl.h"
+}

src/ext/ed25519/ref10/ge_p2_dbl.h

@@ -0,0 +1,73 @@
+
+/* qhasm: enter ge_p2_dbl */
+
+/* qhasm: fe X1 */
+
+/* qhasm: fe Y1 */
+
+/* qhasm: fe Z1 */
+
+/* qhasm: fe A */
+
+/* qhasm: fe AA */
+
+/* qhasm: fe XX */
+
+/* qhasm: fe YY */
+
+/* qhasm: fe B */
+
+/* qhasm: fe X3 */
+
+/* qhasm: fe Y3 */
+
+/* qhasm: fe Z3 */
+
+/* qhasm: fe T3 */
+
+/* qhasm: XX=X1^2 */
+/* asm 1: fe_sq(>XX=fe#1,<X1=fe#11); */
+/* asm 2: fe_sq(>XX=r->X,<X1=p->X); */
+fe_sq(r->X,p->X);
+
+/* qhasm: YY=Y1^2 */
+/* asm 1: fe_sq(>YY=fe#3,<Y1=fe#12); */
+/* asm 2: fe_sq(>YY=r->Z,<Y1=p->Y); */
+fe_sq(r->Z,p->Y);
+
+/* qhasm: B=2*Z1^2 */
+/* asm 1: fe_sq2(>B=fe#4,<Z1=fe#13); */
+/* asm 2: fe_sq2(>B=r->T,<Z1=p->Z); */
+fe_sq2(r->T,p->Z);
+
+/* qhasm: A=X1+Y1 */
+/* asm 1: fe_add(>A=fe#2,<X1=fe#11,<Y1=fe#12); */
+/* asm 2: fe_add(>A=r->Y,<X1=p->X,<Y1=p->Y); */
+fe_add(r->Y,p->X,p->Y);
+
+/* qhasm: AA=A^2 */
+/* asm 1: fe_sq(>AA=fe#5,<A=fe#2); */
+/* asm 2: fe_sq(>AA=t0,<A=r->Y); */
+fe_sq(t0,r->Y);
+
+/* qhasm: Y3=YY+XX */
+/* asm 1: fe_add(>Y3=fe#2,<YY=fe#3,<XX=fe#1); */
+/* asm 2: fe_add(>Y3=r->Y,<YY=r->Z,<XX=r->X); */
+fe_add(r->Y,r->Z,r->X);
+
+/* qhasm: Z3=YY-XX */
+/* asm 1: fe_sub(>Z3=fe#3,<YY=fe#3,<XX=fe#1); */
+/* asm 2: fe_sub(>Z3=r->Z,<YY=r->Z,<XX=r->X); */
+fe_sub(r->Z,r->Z,r->X);
+
+/* qhasm: X3=AA-Y3 */
+/* asm 1: fe_sub(>X3=fe#1,<AA=fe#5,<Y3=fe#2); */
+/* asm 2: fe_sub(>X3=r->X,<AA=t0,<Y3=r->Y); */
+fe_sub(r->X,t0,r->Y);
+
+/* qhasm: T3=B-Z3 */
+/* asm 1: fe_sub(>T3=fe#4,<B=fe#4,<Z3=fe#3); */
+/* asm 2: fe_sub(>T3=r->T,<B=r->T,<Z3=r->Z); */
+fe_sub(r->T,r->T,r->Z);
+
+/* qhasm: return */

src/ext/ed25519/ref10/ge_p2_dbl.q

@@ -0,0 +1,41 @@
+:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:
+fe r:var/r=fe:
+
+enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:
+return:nofallthrough:<X3=fe#1:<Y3=fe#2:<Z3=fe#3:<T3=fe#4:leave:
+
+h=f+g:<f=fe:<g=fe:>h=fe:asm/fe_add(>h,<f,<g);:
+h=f-g:<f=fe:<g=fe:>h=fe:asm/fe_sub(>h,<f,<g);:
+h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);:
+h=f^2:<f=fe:>h=fe:asm/fe_sq(>h,<f);:
+h=2*f^2:<f=fe:>h=fe:asm/fe_sq2(>h,<f);:
+h=2*g:<g=fe:>h=fe:asm/fe_add(>h,<g,<g);:
+
+:
+
+enter ge_p2_dbl
+
+fe X1
+fe Y1
+fe Z1
+fe A
+fe AA
+fe XX
+fe YY
+fe B
+fe X3
+fe Y3
+fe Z3
+fe T3
+
+XX=X1^2
+YY=Y1^2
+B=2*Z1^2
+A=X1+Y1
+AA=A^2
+Y3=YY+XX
+Z3=YY-XX
+X3=AA-Y3
+T3=B-Z3
+
+return

src/ext/ed25519/ref10/ge_p3_0.c

@@ -0,0 +1,9 @@
+#include "ge.h"
+
+void ge_p3_0(ge_p3 *h)
+{
+  fe_0(h->X);
+  fe_1(h->Y);
+  fe_1(h->Z);
+  fe_0(h->T);
+}

src/ext/ed25519/ref10/ge_p3_dbl.c

@@ -0,0 +1,12 @@
+#include "ge.h"
+
+/*
+r = 2 * p
+*/
+
+void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p)
+{
+  ge_p2 q;
+  ge_p3_to_p2(&q,p);
+  ge_p2_dbl(r,&q);
+}

src/ext/ed25519/ref10/ge_p3_to_cached.c

@@ -0,0 +1,17 @@
+#include "ge.h"
+
+/*
+r = p
+*/
+
+static const fe d2 = {
+#include "d2.h"
+} ;
+
+extern void ge_p3_to_cached(ge_cached *r,const ge_p3 *p)
+{
+  fe_add(r->YplusX,p->Y,p->X);
+  fe_sub(r->YminusX,p->Y,p->X);
+  fe_copy(r->Z,p->Z);
+  fe_mul(r->T2d,p->T,d2);
+}

src/ext/ed25519/ref10/ge_p3_to_p2.c

@@ -0,0 +1,12 @@
+#include "ge.h"
+
+/*
+r = p
+*/
+
+extern void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p)
+{
+  fe_copy(r->X,p->X);
+  fe_copy(r->Y,p->Y);
+  fe_copy(r->Z,p->Z);
+}

src/ext/ed25519/ref10/ge_p3_tobytes.c

@@ -0,0 +1,14 @@
+#include "ge.h"
+
+void ge_p3_tobytes(unsigned char *s,const ge_p3 *h)
+{
+  fe recip;
+  fe x;
+  fe y;
+
+  fe_invert(recip,h->Z);
+  fe_mul(x,h->X,recip);
+  fe_mul(y,h->Y,recip);
+  fe_tobytes(s,y);
+  s[31] ^= fe_isnegative(x) << 7;
+}

src/ext/ed25519/ref10/ge_precomp_0.c

@@ -0,0 +1,8 @@
+#include "ge.h"
+
+void ge_precomp_0(ge_precomp *h)
+{
+  fe_1(h->yplusx);
+  fe_1(h->yminusx);
+  fe_0(h->xy2d);
+}

src/ext/ed25519/ref10/ge_scalarmult_base.c

@@ -0,0 +1,109 @@
+#include "ge.h"
+#include "crypto_uint32.h"
+
+/* Rename this so as not to interfere with select() which torint.h apparently
+ * grabs. :p */
+#define select ed25519_ref10_select
+
+static unsigned char equal(signed char b,signed char c)
+{
+  unsigned char ub = b;
+  unsigned char uc = c;
+  unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */
+  crypto_uint32 y = x; /* 0: yes; 1..255: no */
+  y -= 1; /* 4294967295: yes; 0..254: no */
+  y >>= 31; /* 1: yes; 0: no */
+  return y;
+}
+
+static unsigned char negative(signed char b)
+{
+  uint64_t x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
+  x >>= 63; /* 1: yes; 0: no */
+  return x;
+}
+
+static void cmov(ge_precomp *t,ge_precomp *u,unsigned char b)
+{
+  fe_cmov(t->yplusx,u->yplusx,b);
+  fe_cmov(t->yminusx,u->yminusx,b);
+  fe_cmov(t->xy2d,u->xy2d,b);
+}
+
+/* base[i][j] = (j+1)*256^i*B */
+static ge_precomp base[32][8] = {
+#include "base.h"
+} ;
+
+static void select(ge_precomp *t,int pos,signed char b)
+{
+  ge_precomp minust;
+  unsigned char bnegative = negative(b);
+  unsigned char babs = b - (((-bnegative) & b) << 1);
+
+  ge_precomp_0(t);
+  cmov(t,&base[pos][0],equal(babs,1));
+  cmov(t,&base[pos][1],equal(babs,2));
+  cmov(t,&base[pos][2],equal(babs,3));
+  cmov(t,&base[pos][3],equal(babs,4));
+  cmov(t,&base[pos][4],equal(babs,5));
+  cmov(t,&base[pos][5],equal(babs,6));
+  cmov(t,&base[pos][6],equal(babs,7));
+  cmov(t,&base[pos][7],equal(babs,8));
+  fe_copy(minust.yplusx,t->yminusx);
+  fe_copy(minust.yminusx,t->yplusx);
+  fe_neg(minust.xy2d,t->xy2d);
+  cmov(t,&minust,bnegative);
+}
+
+/*
+h = a * B
+where a = a[0]+256*a[1]+...+256^31 a[31]
+B is the Ed25519 base point (x,4/5) with x positive.
+
+Preconditions:
+  a[31] <= 127
+*/
+
+void ge_scalarmult_base(ge_p3 *h,const unsigned char *a)
+{
+  signed char e[64];
+  signed char carry;
+  ge_p1p1 r;
+  ge_p2 s;
+  ge_precomp t;
+  int i;
+
+  for (i = 0;i < 32;++i) {
+    e[2 * i + 0] = (a[i] >> 0) & 15;
+    e[2 * i + 1] = (a[i] >> 4) & 15;
+  }
+  /* each e[i] is between 0 and 15 */
+  /* e[63] is between 0 and 7 */
+
+  carry = 0;
+  for (i = 0;i < 63;++i) {
+    e[i] += carry;
+    carry = e[i] + 8;
+    carry >>= 4;
+    e[i] -= carry << 4;
+  }
+  e[63] += carry;
+  /* each e[i] is between -8 and 8 */
+
+  ge_p3_0(h);
+  for (i = 1;i < 64;i += 2) {
+    select(&t,i / 2,e[i]);
+    ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r);
+  }
+
+  ge_p3_dbl(&r,h);  ge_p1p1_to_p2(&s,&r);
+  ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r);
+  ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r);
+  ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r);
+
+  for (i = 0;i < 64;i += 2) {
+    select(&t,i / 2,e[i]);
+    ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r);
+  }
+}

src/ext/ed25519/ref10/ge_sub.c

@@ -0,0 +1,11 @@
+#include "ge.h"
+
+/*
+r = p - q
+*/
+
+void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q)
+{
+  fe t0;
+#include "ge_sub.h"
+}

src/ext/ed25519/ref10/ge_sub.h

@@ -0,0 +1,97 @@
+
+/* qhasm: enter ge_sub */
+
+/* qhasm: fe X1 */
+
+/* qhasm: fe Y1 */
+
+/* qhasm: fe Z1 */
+
+/* qhasm: fe Z2 */
+
+/* qhasm: fe T1 */
+
+/* qhasm: fe ZZ */
+
+/* qhasm: fe YpX2 */
+
+/* qhasm: fe YmX2 */
+
+/* qhasm: fe T2d2 */
+
+/* qhasm: fe X3 */
+
+/* qhasm: fe Y3 */
+
+/* qhasm: fe Z3 */
+
+/* qhasm: fe T3 */
+
+/* qhasm: fe YpX1 */
+
+/* qhasm: fe YmX1 */
+
+/* qhasm: fe A */
+
+/* qhasm: fe B */
+
+/* qhasm: fe C */
+
+/* qhasm: fe D */
+
+/* qhasm: YpX1 = Y1+X1 */
+/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
+/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
+fe_add(r->X,p->Y,p->X);
+
+/* qhasm: YmX1 = Y1-X1 */
+/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
+/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
+fe_sub(r->Y,p->Y,p->X);
+
+/* qhasm: A = YpX1*YmX2 */
+/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YmX2=fe#16); */
+/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<YmX2=q->YminusX); */
+fe_mul(r->Z,r->X,q->YminusX);
+
+/* qhasm: B = YmX1*YpX2 */
+/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YpX2=fe#15); */
+/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<YpX2=q->YplusX); */
+fe_mul(r->Y,r->Y,q->YplusX);
+
+/* qhasm: C = T2d2*T1 */
+/* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */
+/* asm 2: fe_mul(>C=r->T,<T2d2=q->T2d,<T1=p->T); */
+fe_mul(r->T,q->T2d,p->T);
+
+/* qhasm: ZZ = Z1*Z2 */
+/* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */
+/* asm 2: fe_mul(>ZZ=r->X,<Z1=p->Z,<Z2=q->Z); */
+fe_mul(r->X,p->Z,q->Z);
+
+/* qhasm: D = 2*ZZ */
+/* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */
+/* asm 2: fe_add(>D=t0,<ZZ=r->X,<ZZ=r->X); */
+fe_add(t0,r->X,r->X);
+
+/* qhasm: X3 = A-B */
+/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
+/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
+fe_sub(r->X,r->Z,r->Y);
+
+/* qhasm: Y3 = A+B */
+/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
+/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
+fe_add(r->Y,r->Z,r->Y);
+
+/* qhasm: Z3 = D-C */
+/* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */
+/* asm 2: fe_sub(>Z3=r->Z,<D=t0,<C=r->T); */
+fe_sub(r->Z,t0,r->T);
+
+/* qhasm: T3 = D+C */
+/* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */
+/* asm 2: fe_add(>T3=r->T,<D=t0,<C=r->T); */
+fe_add(r->T,t0,r->T);
+
+/* qhasm: return */

src/ext/ed25519/ref10/ge_sub.q

@@ -0,0 +1,49 @@
+:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d:
+fe r:var/r=fe:
+
+enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18:
+return:nofallthrough:<X3=fe#1:<Y3=fe#2:<Z3=fe#3:<T3=fe#4:leave:
+
+h=f+g:<f=fe:<g=fe:>h=fe:asm/fe_add(>h,<f,<g);:
+h=f-g:<f=fe:<g=fe:>h=fe:asm/fe_sub(>h,<f,<g);:
+h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);:
+h=f^2:<f=fe:>h=fe:asm/fe_sq(>h,<f);:
+h=2*g:<g=fe:>h=fe:asm/fe_add(>h,<g,<g);:
+
+:
+
+enter ge_sub
+
+fe X1
+fe Y1
+fe Z1
+fe Z2
+fe T1
+fe ZZ
+fe YpX2
+fe YmX2
+fe T2d2
+fe X3
+fe Y3
+fe Z3
+fe T3
+fe YpX1
+fe YmX1
+fe A
+fe B
+fe C
+fe D
+
+YpX1 = Y1+X1
+YmX1 = Y1-X1
+A = YpX1*YmX2
+B = YmX1*YpX2
+C = T2d2*T1
+ZZ = Z1*Z2
+D = 2*ZZ
+X3 = A-B
+Y3 = A+B
+Z3 = D-C
+T3 = D+C
+
+return

src/ext/ed25519/ref10/ge_tobytes.c

@@ -0,0 +1,14 @@
+#include "ge.h"
+
+void ge_tobytes(unsigned char *s,const ge_p2 *h)
+{
+  fe recip;
+  fe x;
+  fe y;
+
+  fe_invert(recip,h->Z);
+  fe_mul(x,h->X,recip);
+  fe_mul(y,h->Y,recip);
+  fe_tobytes(s,y);
+  s[31] ^= fe_isnegative(x) << 7;
+}

src/ext/ed25519/ref10/keyconv.c

@@ -0,0 +1,37 @@
+/* Added to ref10 for Tor. We place this in the public domain.  Alternatively,
+ * you may have it under the Creative Commons 0 "CC0" license. */
+#include "fe.h"
+#include "ed25519_ref10.h"
+
+int ed25519_ref10_pubkey_from_curve25519_pubkey(unsigned char *out,
+                                                const unsigned char *inp,
+                                                int signbit)
+{
+  fe u;
+  fe one;
+  fe y;
+  fe uplus1;
+  fe uminus1;
+  fe inv_uplus1;
+
+  /* From prop228:
+
+   Given a curve25519 x-coordinate (u), we can get the y coordinate
+   of the ed25519 key using
+
+         y = (u-1)/(u+1)
+  */
+  fe_frombytes(u, inp);
+  fe_1(one);
+  fe_sub(uminus1, u, one);
+  fe_add(uplus1, u, one);
+  fe_invert(inv_uplus1, uplus1);
+  fe_mul(y, uminus1, inv_uplus1);
+
+  fe_tobytes(out, y);
+
+  /* propagate sign. */
+  out[31] |= (!!signbit) << 7;
+
+  return 0;
+}

src/ext/ed25519/ref10/keypair.c

@@ -0,0 +1,51 @@
+/* Modified for Tor: new API, 64-byte secret keys. */
+#include <string.h>
+#include "randombytes.h"
+#include "crypto_sign.h"
+#include "crypto_hash_sha512.h"
+#include "ge.h"
+
+int
+crypto_sign_seckey(unsigned char *sk)
+{
+  unsigned char seed[32];
+
+  if (randombytes(seed,32) < 0)
+    return -1;
+
+  crypto_sign_seckey_expand(sk, seed);
+
+  memwipe(seed, 0, 32);
+
+  return 0;
+}
+
+int crypto_sign_seckey_expand(unsigned char *sk, const unsigned char *skseed)
+{
+  crypto_hash_sha512(sk,skseed,32);
+  sk[0] &= 248;
+  sk[31] &= 63;
+  sk[31] |= 64;
+
+  return 0;
+}
+
+int crypto_sign_pubkey(unsigned char *pk,const unsigned char *sk)
+{
+  ge_p3 A;
+
+  ge_scalarmult_base(&A,sk);
+  ge_p3_tobytes(pk,&A);
+
+  return 0;
+}
+
+
+int crypto_sign_keypair(unsigned char *pk,unsigned char *sk)
+{
+  crypto_sign_seckey(sk);
+  crypto_sign_pubkey(pk, sk);
+
+  return 0;
+}
+

src/ext/ed25519/ref10/open.c

@@ -0,0 +1,42 @@
+/* (Modified by Tor to verify signature separately from message) */
+#include <string.h>
+#include "crypto_sign.h"
+#include "crypto_hash_sha512.h"
+#include "crypto_verify_32.h"
+#include "ge.h"
+#include "sc.h"
+
+/* 'signature' must be 64-bytes long. */
+int crypto_sign_open(
+  const unsigned char *signature,
+  const unsigned char *m,uint64_t mlen,
+  const unsigned char *pk
+)
+{
+  unsigned char pkcopy[32];
+  unsigned char rcopy[32];
+  unsigned char scopy[32];
+  unsigned char h[64];
+  unsigned char rcheck[32];
+  ge_p3 A;
+  ge_p2 R;
+
+  if (signature[63] & 224) goto badsig;
+  if (ge_frombytes_negate_vartime(&A,pk) != 0) goto badsig;
+
+  memmove(pkcopy,pk,32);
+  memmove(rcopy,signature,32);
+  memmove(scopy,signature + 32,32);
+
+  crypto_hash_sha512_3(h, rcopy, 32, pkcopy, 32, m, mlen);
+  sc_reduce(h);
+
+  ge_double_scalarmult_vartime(&R,h,&A,scopy);
+  ge_tobytes(rcheck,&R);
+  if (crypto_verify_32(rcheck,rcopy) == 0) {
+    return 0;
+  }
+
+badsig:
+  return -1;
+}

src/ext/ed25519/ref10/pow22523.h

@@ -0,0 +1,160 @@
+
+/* qhasm: fe z1 */
+
+/* qhasm: fe z2 */
+
+/* qhasm: fe z8 */
+
+/* qhasm: fe z9 */
+
+/* qhasm: fe z11 */
+
+/* qhasm: fe z22 */
+
+/* qhasm: fe z_5_0 */
+
+/* qhasm: fe z_10_5 */
+
+/* qhasm: fe z_10_0 */
+
+/* qhasm: fe z_20_10 */
+
+/* qhasm: fe z_20_0 */
+
+/* qhasm: fe z_40_20 */
+
+/* qhasm: fe z_40_0 */
+
+/* qhasm: fe z_50_10 */
+
+/* qhasm: fe z_50_0 */
+
+/* qhasm: fe z_100_50 */
+
+/* qhasm: fe z_100_0 */
+
+/* qhasm: fe z_200_100 */
+
+/* qhasm: fe z_200_0 */
+
+/* qhasm: fe z_250_50 */
+
+/* qhasm: fe z_250_0 */
+
+/* qhasm: fe z_252_2 */
+
+/* qhasm: fe z_252_3 */
+
+/* qhasm: enter pow22523 */
+
+/* qhasm: z2 = z1^2^1 */
+/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */
+/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */
+fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0);
+
+/* qhasm: z8 = z2^2^2 */
+/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */
+/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */
+fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1);
+
+/* qhasm: z9 = z1*z8 */
+/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */
+/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */
+fe_mul(t1,z,t1);
+
+/* qhasm: z11 = z2*z9 */
+/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */
+/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */
+fe_mul(t0,t0,t1);
+
+/* qhasm: z22 = z11^2^1 */
+/* asm 1: fe_sq(>z22=fe#1,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#1,>z22=fe#1); */
+/* asm 2: fe_sq(>z22=t0,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t0,>z22=t0); */
+fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0);
+
+/* qhasm: z_5_0 = z9*z22 */
+/* asm 1: fe_mul(>z_5_0=fe#1,<z9=fe#2,<z22=fe#1); */
+/* asm 2: fe_mul(>z_5_0=t0,<z9=t1,<z22=t0); */
+fe_mul(t0,t1,t0);
+
+/* qhasm: z_10_5 = z_5_0^2^5 */
+/* asm 1: fe_sq(>z_10_5=fe#2,<z_5_0=fe#1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#2,>z_10_5=fe#2); */
+/* asm 2: fe_sq(>z_10_5=t1,<z_5_0=t0); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t1,>z_10_5=t1); */
+fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1);
+
+/* qhasm: z_10_0 = z_10_5*z_5_0 */
+/* asm 1: fe_mul(>z_10_0=fe#1,<z_10_5=fe#2,<z_5_0=fe#1); */
+/* asm 2: fe_mul(>z_10_0=t0,<z_10_5=t1,<z_5_0=t0); */
+fe_mul(t0,t1,t0);
+
+/* qhasm: z_20_10 = z_10_0^2^10 */
+/* asm 1: fe_sq(>z_20_10=fe#2,<z_10_0=fe#1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#2,>z_20_10=fe#2); */
+/* asm 2: fe_sq(>z_20_10=t1,<z_10_0=t0); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t1,>z_20_10=t1); */
+fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1);
+
+/* qhasm: z_20_0 = z_20_10*z_10_0 */
+/* asm 1: fe_mul(>z_20_0=fe#2,<z_20_10=fe#2,<z_10_0=fe#1); */
+/* asm 2: fe_mul(>z_20_0=t1,<z_20_10=t1,<z_10_0=t0); */
+fe_mul(t1,t1,t0);
+
+/* qhasm: z_40_20 = z_20_0^2^20 */
+/* asm 1: fe_sq(>z_40_20=fe#3,<z_20_0=fe#2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#3,>z_40_20=fe#3); */
+/* asm 2: fe_sq(>z_40_20=t2,<z_20_0=t1); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t2,>z_40_20=t2); */
+fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2);
+
+/* qhasm: z_40_0 = z_40_20*z_20_0 */
+/* asm 1: fe_mul(>z_40_0=fe#2,<z_40_20=fe#3,<z_20_0=fe#2); */
+/* asm 2: fe_mul(>z_40_0=t1,<z_40_20=t2,<z_20_0=t1); */
+fe_mul(t1,t2,t1);
+
+/* qhasm: z_50_10 = z_40_0^2^10 */
+/* asm 1: fe_sq(>z_50_10=fe#2,<z_40_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#2,>z_50_10=fe#2); */
+/* asm 2: fe_sq(>z_50_10=t1,<z_40_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t1,>z_50_10=t1); */
+fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1);
+
+/* qhasm: z_50_0 = z_50_10*z_10_0 */
+/* asm 1: fe_mul(>z_50_0=fe#1,<z_50_10=fe#2,<z_10_0=fe#1); */
+/* asm 2: fe_mul(>z_50_0=t0,<z_50_10=t1,<z_10_0=t0); */
+fe_mul(t0,t1,t0);
+
+/* qhasm: z_100_50 = z_50_0^2^50 */
+/* asm 1: fe_sq(>z_100_50=fe#2,<z_50_0=fe#1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#2,>z_100_50=fe#2); */
+/* asm 2: fe_sq(>z_100_50=t1,<z_50_0=t0); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t1,>z_100_50=t1); */
+fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1);
+
+/* qhasm: z_100_0 = z_100_50*z_50_0 */
+/* asm 1: fe_mul(>z_100_0=fe#2,<z_100_50=fe#2,<z_50_0=fe#1); */
+/* asm 2: fe_mul(>z_100_0=t1,<z_100_50=t1,<z_50_0=t0); */
+fe_mul(t1,t1,t0);
+
+/* qhasm: z_200_100 = z_100_0^2^100 */
+/* asm 1: fe_sq(>z_200_100=fe#3,<z_100_0=fe#2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#3,>z_200_100=fe#3); */
+/* asm 2: fe_sq(>z_200_100=t2,<z_100_0=t1); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t2,>z_200_100=t2); */
+fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2);
+
+/* qhasm: z_200_0 = z_200_100*z_100_0 */
+/* asm 1: fe_mul(>z_200_0=fe#2,<z_200_100=fe#3,<z_100_0=fe#2); */
+/* asm 2: fe_mul(>z_200_0=t1,<z_200_100=t2,<z_100_0=t1); */
+fe_mul(t1,t2,t1);
+
+/* qhasm: z_250_50 = z_200_0^2^50 */
+/* asm 1: fe_sq(>z_250_50=fe#2,<z_200_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#2,>z_250_50=fe#2); */
+/* asm 2: fe_sq(>z_250_50=t1,<z_200_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t1,>z_250_50=t1); */
+fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1);
+
+/* qhasm: z_250_0 = z_250_50*z_50_0 */
+/* asm 1: fe_mul(>z_250_0=fe#1,<z_250_50=fe#2,<z_50_0=fe#1); */
+/* asm 2: fe_mul(>z_250_0=t0,<z_250_50=t1,<z_50_0=t0); */
+fe_mul(t0,t1,t0);
+
+/* qhasm: z_252_2 = z_250_0^2^2 */
+/* asm 1: fe_sq(>z_252_2=fe#1,<z_250_0=fe#1); for (i = 1;i < 2;++i) fe_sq(>z_252_2=fe#1,>z_252_2=fe#1); */
+/* asm 2: fe_sq(>z_252_2=t0,<z_250_0=t0); for (i = 1;i < 2;++i) fe_sq(>z_252_2=t0,>z_252_2=t0); */
+fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0);
+
+/* qhasm: z_252_3 = z_252_2*z1 */
+/* asm 1: fe_mul(>z_252_3=fe#12,<z_252_2=fe#1,<z1=fe#11); */
+/* asm 2: fe_mul(>z_252_3=out,<z_252_2=t0,<z1=z); */
+fe_mul(out,t0,z);
+
+/* qhasm: return */

src/ext/ed25519/ref10/pow22523.q

@@ -0,0 +1,61 @@
+:name:fe:t0:t1:t2:t3:t4:t5:t6:t7:t8:t9:z:out:
+fe r:var/r=fe:
+
+enter f:enter/f:>z1=fe#11:
+return:nofallthrough:<z_252_3=fe#12:leave:
+
+h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);:
+h=f^2^k:<f=fe:>h=fe:#k:asm/fe_sq(>h,<f); for (i = 1;i !lt; #k;++i) fe_sq(>h,>h);:
+
+:
+
+fe z1
+fe z2
+fe z8
+fe z9
+fe z11
+fe z22
+fe z_5_0
+fe z_10_5
+fe z_10_0
+fe z_20_10
+fe z_20_0
+fe z_40_20
+fe z_40_0
+fe z_50_10
+fe z_50_0
+fe z_100_50
+fe z_100_0
+fe z_200_100
+fe z_200_0
+fe z_250_50
+fe z_250_0
+fe z_252_2
+fe z_252_3
+
+enter pow22523
+
+z2 = z1^2^1
+z8 = z2^2^2
+z9 = z1*z8
+z11 = z2*z9
+z22 = z11^2^1
+z_5_0 = z9*z22
+z_10_5 = z_5_0^2^5
+z_10_0 = z_10_5*z_5_0
+z_20_10 = z_10_0^2^10
+z_20_0 = z_20_10*z_10_0
+z_40_20 = z_20_0^2^20
+z_40_0 = z_40_20*z_20_0
+z_50_10 = z_40_0^2^10
+z_50_0 = z_50_10*z_10_0
+z_100_50 = z_50_0^2^50
+z_100_0 = z_100_50*z_50_0
+z_200_100 = z_100_0^2^100
+z_200_0 = z_200_100*z_100_0
+z_250_50 = z_200_0^2^50
+z_250_0 = z_250_50*z_50_0
+z_252_2 = z_250_0^2^2
+z_252_3 = z_252_2*z1
+
+return

src/ext/ed25519/ref10/pow225521.h

@@ -0,0 +1,160 @@
+
+/* qhasm: fe z1 */
+
+/* qhasm: fe z2 */
+
+/* qhasm: fe z8 */
+
+/* qhasm: fe z9 */
+
+/* qhasm: fe z11 */
+
+/* qhasm: fe z22 */
+
+/* qhasm: fe z_5_0 */
+
+/* qhasm: fe z_10_5 */
+
+/* qhasm: fe z_10_0 */
+
+/* qhasm: fe z_20_10 */
+
+/* qhasm: fe z_20_0 */
+
+/* qhasm: fe z_40_20 */
+
+/* qhasm: fe z_40_0 */
+
+/* qhasm: fe z_50_10 */
+
+/* qhasm: fe z_50_0 */
+
+/* qhasm: fe z_100_50 */
+
+/* qhasm: fe z_100_0 */
+
+/* qhasm: fe z_200_100 */
+
+/* qhasm: fe z_200_0 */
+
+/* qhasm: fe z_250_50 */
+
+/* qhasm: fe z_250_0 */
+
+/* qhasm: fe z_255_5 */
+
+/* qhasm: fe z_255_21 */
+
+/* qhasm: enter pow225521 */
+
+/* qhasm: z2 = z1^2^1 */
+/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */
+/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */
+fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0);
+
+/* qhasm: z8 = z2^2^2 */
+/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */
+/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */
+fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1);
+
+/* qhasm: z9 = z1*z8 */
+/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */
+/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */
+fe_mul(t1,z,t1);
+
+/* qhasm: z11 = z2*z9 */
+/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */
+/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */
+fe_mul(t0,t0,t1);
+
+/* qhasm: z22 = z11^2^1 */
+/* asm 1: fe_sq(>z22=fe#3,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#3,>z22=fe#3); */
+/* asm 2: fe_sq(>z22=t2,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t2,>z22=t2); */
+fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2);
+
+/* qhasm: z_5_0 = z9*z22 */
+/* asm 1: fe_mul(>z_5_0=fe#2,<z9=fe#2,<z22=fe#3); */
+/* asm 2: fe_mul(>z_5_0=t1,<z9=t1,<z22=t2); */
+fe_mul(t1,t1,t2);
+
+/* qhasm: z_10_5 = z_5_0^2^5 */
+/* asm 1: fe_sq(>z_10_5=fe#3,<z_5_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#3,>z_10_5=fe#3); */
+/* asm 2: fe_sq(>z_10_5=t2,<z_5_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t2,>z_10_5=t2); */
+fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2);
+
+/* qhasm: z_10_0 = z_10_5*z_5_0 */
+/* asm 1: fe_mul(>z_10_0=fe#2,<z_10_5=fe#3,<z_5_0=fe#2); */
+/* asm 2: fe_mul(>z_10_0=t1,<z_10_5=t2,<z_5_0=t1); */
+fe_mul(t1,t2,t1);
+
+/* qhasm: z_20_10 = z_10_0^2^10 */
+/* asm 1: fe_sq(>z_20_10=fe#3,<z_10_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#3,>z_20_10=fe#3); */
+/* asm 2: fe_sq(>z_20_10=t2,<z_10_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t2,>z_20_10=t2); */
+fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2);
+
+/* qhasm: z_20_0 = z_20_10*z_10_0 */
+/* asm 1: fe_mul(>z_20_0=fe#3,<z_20_10=fe#3,<z_10_0=fe#2); */
+/* asm 2: fe_mul(>z_20_0=t2,<z_20_10=t2,<z_10_0=t1); */
+fe_mul(t2,t2,t1);
+
+/* qhasm: z_40_20 = z_20_0^2^20 */
+/* asm 1: fe_sq(>z_40_20=fe#4,<z_20_0=fe#3); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#4,>z_40_20=fe#4); */
+/* asm 2: fe_sq(>z_40_20=t3,<z_20_0=t2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t3,>z_40_20=t3); */
+fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3);
+
+/* qhasm: z_40_0 = z_40_20*z_20_0 */
+/* asm 1: fe_mul(>z_40_0=fe#3,<z_40_20=fe#4,<z_20_0=fe#3); */
+/* asm 2: fe_mul(>z_40_0=t2,<z_40_20=t3,<z_20_0=t2); */
+fe_mul(t2,t3,t2);
+
+/* qhasm: z_50_10 = z_40_0^2^10 */
+/* asm 1: fe_sq(>z_50_10=fe#3,<z_40_0=fe#3); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#3,>z_50_10=fe#3); */
+/* asm 2: fe_sq(>z_50_10=t2,<z_40_0=t2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t2,>z_50_10=t2); */
+fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2);
+
+/* qhasm: z_50_0 = z_50_10*z_10_0 */
+/* asm 1: fe_mul(>z_50_0=fe#2,<z_50_10=fe#3,<z_10_0=fe#2); */
+/* asm 2: fe_mul(>z_50_0=t1,<z_50_10=t2,<z_10_0=t1); */
+fe_mul(t1,t2,t1);
+
+/* qhasm: z_100_50 = z_50_0^2^50 */
+/* asm 1: fe_sq(>z_100_50=fe#3,<z_50_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#3,>z_100_50=fe#3); */
+/* asm 2: fe_sq(>z_100_50=t2,<z_50_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t2,>z_100_50=t2); */
+fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2);
+
+/* qhasm: z_100_0 = z_100_50*z_50_0 */
+/* asm 1: fe_mul(>z_100_0=fe#3,<z_100_50=fe#3,<z_50_0=fe#2); */
+/* asm 2: fe_mul(>z_100_0=t2,<z_100_50=t2,<z_50_0=t1); */
+fe_mul(t2,t2,t1);
+
+/* qhasm: z_200_100 = z_100_0^2^100 */
+/* asm 1: fe_sq(>z_200_100=fe#4,<z_100_0=fe#3); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#4,>z_200_100=fe#4); */
+/* asm 2: fe_sq(>z_200_100=t3,<z_100_0=t2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t3,>z_200_100=t3); */
+fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3);
+
+/* qhasm: z_200_0 = z_200_100*z_100_0 */
+/* asm 1: fe_mul(>z_200_0=fe#3,<z_200_100=fe#4,<z_100_0=fe#3); */
+/* asm 2: fe_mul(>z_200_0=t2,<z_200_100=t3,<z_100_0=t2); */
+fe_mul(t2,t3,t2);
+
+/* qhasm: z_250_50 = z_200_0^2^50 */
+/* asm 1: fe_sq(>z_250_50=fe#3,<z_200_0=fe#3); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#3,>z_250_50=fe#3); */
+/* asm 2: fe_sq(>z_250_50=t2,<z_200_0=t2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t2,>z_250_50=t2); */
+fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2);
+
+/* qhasm: z_250_0 = z_250_50*z_50_0 */
+/* asm 1: fe_mul(>z_250_0=fe#2,<z_250_50=fe#3,<z_50_0=fe#2); */
+/* asm 2: fe_mul(>z_250_0=t1,<z_250_50=t2,<z_50_0=t1); */
+fe_mul(t1,t2,t1);
+
+/* qhasm: z_255_5 = z_250_0^2^5 */
+/* asm 1: fe_sq(>z_255_5=fe#2,<z_250_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_255_5=fe#2,>z_255_5=fe#2); */
+/* asm 2: fe_sq(>z_255_5=t1,<z_250_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_255_5=t1,>z_255_5=t1); */
+fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1);
+
+/* qhasm: z_255_21 = z_255_5*z11 */
+/* asm 1: fe_mul(>z_255_21=fe#12,<z_255_5=fe#2,<z11=fe#1); */
+/* asm 2: fe_mul(>z_255_21=out,<z_255_5=t1,<z11=t0); */
+fe_mul(out,t1,t0);
+
+/* qhasm: return */

src/ext/ed25519/ref10/pow225521.q

@@ -0,0 +1,61 @@
+:name:fe:t0:t1:t2:t3:t4:t5:t6:t7:t8:t9:z:out:
+fe r:var/r=fe:
+
+enter f:enter/f:>z1=fe#11:
+return:nofallthrough:<z_255_21=fe#12:leave:
+
+h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);:
+h=f^2^k:<f=fe:>h=fe:#k:asm/fe_sq(>h,<f); for (i = 1;i !lt; #k;++i) fe_sq(>h,>h);:
+
+:
+
+fe z1
+fe z2
+fe z8
+fe z9
+fe z11
+fe z22
+fe z_5_0
+fe z_10_5
+fe z_10_0
+fe z_20_10
+fe z_20_0
+fe z_40_20
+fe z_40_0
+fe z_50_10
+fe z_50_0
+fe z_100_50
+fe z_100_0
+fe z_200_100
+fe z_200_0
+fe z_250_50
+fe z_250_0
+fe z_255_5
+fe z_255_21
+
+enter pow225521
+
+z2 = z1^2^1
+z8 = z2^2^2
+z9 = z1*z8
+z11 = z2*z9
+z22 = z11^2^1
+z_5_0 = z9*z22
+z_10_5 = z_5_0^2^5
+z_10_0 = z_10_5*z_5_0
+z_20_10 = z_10_0^2^10
+z_20_0 = z_20_10*z_10_0
+z_40_20 = z_20_0^2^20
+z_40_0 = z_40_20*z_20_0
+z_50_10 = z_40_0^2^10
+z_50_0 = z_50_10*z_10_0
+z_100_50 = z_50_0^2^50
+z_100_0 = z_100_50*z_50_0
+z_200_100 = z_100_0^2^100
+z_200_0 = z_200_100*z_100_0
+z_250_50 = z_200_0^2^50
+z_250_0 = z_250_50*z_50_0
+z_255_5 = z_250_0^2^5
+z_255_21 = z_255_5*z11
+
+return

src/ext/ed25519/ref10/q2h.sh

@@ -0,0 +1,4 @@
+#!/bin/sh
+sed 's/^#.*//' \
+| qhasm-generic \
+| sed 's_//\(.*\)$_/*\1 */_'

src/ext/ed25519/ref10/randombytes.h

@@ -0,0 +1,4 @@
+/* Added for Tor. */
+#include "crypto.h"
+#define randombytes(b, n) \
+  (crypto_strongest_rand((b), (n)))

src/ext/ed25519/ref10/sc.h

@@ -0,0 +1,15 @@
+#ifndef SC_H
+#define SC_H
+
+/*
+The set of scalars is \Z/l
+where l = 2^252 + 27742317777372353535851937790883648493.
+*/
+
+#define sc_reduce crypto_sign_ed25519_ref10_sc_reduce
+#define sc_muladd crypto_sign_ed25519_ref10_sc_muladd
+
+extern void sc_reduce(unsigned char *);
+extern void sc_muladd(unsigned char *,const unsigned char *,const unsigned char *,const unsigned char *);
+
+#endif

src/ext/ed25519/ref10/sc_muladd.c

@@ -0,0 +1,368 @@
+#include "sc.h"
+#include "crypto_int64.h"
+#include "crypto_uint32.h"
+#include "crypto_uint64.h"
+
+static crypto_uint64 load_3(const unsigned char *in)
+{
+  crypto_uint64 result;
+  result = (crypto_uint64) in[0];
+  result |= ((crypto_uint64) in[1]) << 8;
+  result |= ((crypto_uint64) in[2]) << 16;
+  return result;
+}
+
+static crypto_uint64 load_4(const unsigned char *in)
+{
+  crypto_uint64 result;
+  result = (crypto_uint64) in[0];
+  result |= ((crypto_uint64) in[1]) << 8;
+  result |= ((crypto_uint64) in[2]) << 16;
+  result |= ((crypto_uint64) in[3]) << 24;
+  return result;
+}
+
+/*
+Input:
+  a[0]+256*a[1]+...+256^31*a[31] = a
+  b[0]+256*b[1]+...+256^31*b[31] = b
+  c[0]+256*c[1]+...+256^31*c[31] = c
+
+Output:
+  s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l
+  where l = 2^252 + 27742317777372353535851937790883648493.
+*/
+
+void sc_muladd(unsigned char *s,const unsigned char *a,const unsigned char *b,const unsigned char *c)
+{
+  crypto_int64 a0 = 2097151 & load_3(a);
+  crypto_int64 a1 = 2097151 & (load_4(a + 2) >> 5);
+  crypto_int64 a2 = 2097151 & (load_3(a + 5) >> 2);
+  crypto_int64 a3 = 2097151 & (load_4(a + 7) >> 7);
+  crypto_int64 a4 = 2097151 & (load_4(a + 10) >> 4);
+  crypto_int64 a5 = 2097151 & (load_3(a + 13) >> 1);
+  crypto_int64 a6 = 2097151 & (load_4(a + 15) >> 6);
+  crypto_int64 a7 = 2097151 & (load_3(a + 18) >> 3);
+  crypto_int64 a8 = 2097151 & load_3(a + 21);
+  crypto_int64 a9 = 2097151 & (load_4(a + 23) >> 5);
+  crypto_int64 a10 = 2097151 & (load_3(a + 26) >> 2);
+  crypto_int64 a11 = (load_4(a + 28) >> 7);
+  crypto_int64 b0 = 2097151 & load_3(b);
+  crypto_int64 b1 = 2097151 & (load_4(b + 2) >> 5);
+  crypto_int64 b2 = 2097151 & (load_3(b + 5) >> 2);
+  crypto_int64 b3 = 2097151 & (load_4(b + 7) >> 7);
+  crypto_int64 b4 = 2097151 & (load_4(b + 10) >> 4);
+  crypto_int64 b5 = 2097151 & (load_3(b + 13) >> 1);
+  crypto_int64 b6 = 2097151 & (load_4(b + 15) >> 6);
+  crypto_int64 b7 = 2097151 & (load_3(b + 18) >> 3);
+  crypto_int64 b8 = 2097151 & load_3(b + 21);
+  crypto_int64 b9 = 2097151 & (load_4(b + 23) >> 5);
+  crypto_int64 b10 = 2097151 & (load_3(b + 26) >> 2);
+  crypto_int64 b11 = (load_4(b + 28) >> 7);
+  crypto_int64 c0 = 2097151 & load_3(c);
+  crypto_int64 c1 = 2097151 & (load_4(c + 2) >> 5);
+  crypto_int64 c2 = 2097151 & (load_3(c + 5) >> 2);
+  crypto_int64 c3 = 2097151 & (load_4(c + 7) >> 7);
+  crypto_int64 c4 = 2097151 & (load_4(c + 10) >> 4);
+  crypto_int64 c5 = 2097151 & (load_3(c + 13) >> 1);
+  crypto_int64 c6 = 2097151 & (load_4(c + 15) >> 6);
+  crypto_int64 c7 = 2097151 & (load_3(c + 18) >> 3);
+  crypto_int64 c8 = 2097151 & load_3(c + 21);
+  crypto_int64 c9 = 2097151 & (load_4(c + 23) >> 5);
+  crypto_int64 c10 = 2097151 & (load_3(c + 26) >> 2);
+  crypto_int64 c11 = (load_4(c + 28) >> 7);
+  crypto_int64 s0;
+  crypto_int64 s1;
+  crypto_int64 s2;
+  crypto_int64 s3;
+  crypto_int64 s4;
+  crypto_int64 s5;
+  crypto_int64 s6;
+  crypto_int64 s7;
+  crypto_int64 s8;
+  crypto_int64 s9;
+  crypto_int64 s10;
+  crypto_int64 s11;
+  crypto_int64 s12;
+  crypto_int64 s13;
+  crypto_int64 s14;
+  crypto_int64 s15;
+  crypto_int64 s16;
+  crypto_int64 s17;
+  crypto_int64 s18;
+  crypto_int64 s19;
+  crypto_int64 s20;
+  crypto_int64 s21;
+  crypto_int64 s22;
+  crypto_int64 s23;
+  crypto_int64 carry0;
+  crypto_int64 carry1;
+  crypto_int64 carry2;
+  crypto_int64 carry3;
+  crypto_int64 carry4;
+  crypto_int64 carry5;
+  crypto_int64 carry6;
+  crypto_int64 carry7;
+  crypto_int64 carry8;
+  crypto_int64 carry9;
+  crypto_int64 carry10;
+  crypto_int64 carry11;
+  crypto_int64 carry12;
+  crypto_int64 carry13;
+  crypto_int64 carry14;
+  crypto_int64 carry15;
+  crypto_int64 carry16;
+  crypto_int64 carry17;
+  crypto_int64 carry18;
+  crypto_int64 carry19;
+  crypto_int64 carry20;
+  crypto_int64 carry21;
+  crypto_int64 carry22;
+
+  s0 = c0 + a0*b0;
+  s1 = c1 + a0*b1 + a1*b0;
+  s2 = c2 + a0*b2 + a1*b1 + a2*b0;
+  s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0;
+  s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0;
+  s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0;
+  s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0;
+  s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0;
+  s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0;
+  s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0;
+  s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0;
+  s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0;
+  s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1;
+  s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2;
+  s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3;
+  s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4;
+  s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5;
+  s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6;
+  s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7;
+  s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8;
+  s20 = a9*b11 + a10*b10 + a11*b9;
+  s21 = a10*b11 + a11*b10;
+  s22 = a11*b11;
+  s23 = 0;
+
+  carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
+  carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
+  carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
+  carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
+  carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
+  carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
+  carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
+  carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
+  carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
+  carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21;
+  carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21;
+  carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21;
+
+  carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
+  carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
+  carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
+  carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
+  carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
+  carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
+  carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
+  carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
+  carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21;
+  carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21;
+  carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21;
+
+  s11 += s23 * 666643;
+  s12 += s23 * 470296;
+  s13 += s23 * 654183;
+  s14 -= s23 * 997805;
+  s15 += s23 * 136657;
+  s16 -= s23 * 683901;
+  s23 = 0;
+
+  s10 += s22 * 666643;
+  s11 += s22 * 470296;
+  s12 += s22 * 654183;
+  s13 -= s22 * 997805;
+  s14 += s22 * 136657;
+  s15 -= s22 * 683901;
+  s22 = 0;
+
+  s9 += s21 * 666643;
+  s10 += s21 * 470296;
+  s11 += s21 * 654183;
+  s12 -= s21 * 997805;
+  s13 += s21 * 136657;
+  s14 -= s21 * 683901;
+  s21 = 0;
+
+  s8 += s20 * 666643;
+  s9 += s20 * 470296;
+  s10 += s20 * 654183;
+  s11 -= s20 * 997805;
+  s12 += s20 * 136657;
+  s13 -= s20 * 683901;
+  s20 = 0;
+
+  s7 += s19 * 666643;
+  s8 += s19 * 470296;
+  s9 += s19 * 654183;
+  s10 -= s19 * 997805;
+  s11 += s19 * 136657;
+  s12 -= s19 * 683901;
+  s19 = 0;
+
+  s6 += s18 * 666643;
+  s7 += s18 * 470296;
+  s8 += s18 * 654183;
+  s9 -= s18 * 997805;
+  s10 += s18 * 136657;
+  s11 -= s18 * 683901;
+  s18 = 0;
+
+  carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
+  carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
+  carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
+  carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
+  carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
+  carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
+
+  carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
+  carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
+  carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
+  carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
+  carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
+
+  s5 += s17 * 666643;
+  s6 += s17 * 470296;
+  s7 += s17 * 654183;
+  s8 -= s17 * 997805;
+  s9 += s17 * 136657;
+  s10 -= s17 * 683901;
+  s17 = 0;
+
+  s4 += s16 * 666643;
+  s5 += s16 * 470296;
+  s6 += s16 * 654183;
+  s7 -= s16 * 997805;
+  s8 += s16 * 136657;
+  s9 -= s16 * 683901;
+  s16 = 0;
+
+  s3 += s15 * 666643;
+  s4 += s15 * 470296;
+  s5 += s15 * 654183;
+  s6 -= s15 * 997805;
+  s7 += s15 * 136657;
+  s8 -= s15 * 683901;
+  s15 = 0;
+
+  s2 += s14 * 666643;
+  s3 += s14 * 470296;
+  s4 += s14 * 654183;
+  s5 -= s14 * 997805;
+  s6 += s14 * 136657;
+  s7 -= s14 * 683901;
+  s14 = 0;
+
+  s1 += s13 * 666643;
+  s2 += s13 * 470296;
+  s3 += s13 * 654183;
+  s4 -= s13 * 997805;
+  s5 += s13 * 136657;
+  s6 -= s13 * 683901;
+  s13 = 0;
+
+  s0 += s12 * 666643;
+  s1 += s12 * 470296;
+  s2 += s12 * 654183;
+  s3 -= s12 * 997805;
+  s4 += s12 * 136657;
+  s5 -= s12 * 683901;
+  s12 = 0;
+
+  carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
+  carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
+  carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
+  carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
+  carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
+  carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
+
+  carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
+  carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
+  carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
+  carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
+  carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
+  carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
+
+  s0 += s12 * 666643;
+  s1 += s12 * 470296;
+  s2 += s12 * 654183;
+  s3 -= s12 * 997805;
+  s4 += s12 * 136657;
+  s5 -= s12 * 683901;
+  s12 = 0;
+
+  carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
+  carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
+  carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
+  carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
+  carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
+  carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
+  carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
+  carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
+  carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
+  carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
+  carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
+  carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;
+
+  s0 += s12 * 666643;
+  s1 += s12 * 470296;
+  s2 += s12 * 654183;
+  s3 -= s12 * 997805;
+  s4 += s12 * 136657;
+  s5 -= s12 * 683901;
+  s12 = 0;
+
+  carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
+  carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
+  carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
+  carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
+  carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
+  carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
+  carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
+  carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
+  carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
+  carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
+  carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
+
+  s[0] = s0 >> 0;
+  s[1] = s0 >> 8;
+  s[2] = (s0 >> 16) | (s1 << 5);
+  s[3] = s1 >> 3;
+  s[4] = s1 >> 11;
+  s[5] = (s1 >> 19) | (s2 << 2);
+  s[6] = s2 >> 6;
+  s[7] = (s2 >> 14) | (s3 << 7);
+  s[8] = s3 >> 1;
+  s[9] = s3 >> 9;
+  s[10] = (s3 >> 17) | (s4 << 4);
+  s[11] = s4 >> 4;
+  s[12] = s4 >> 12;
+  s[13] = (s4 >> 20) | (s5 << 1);
+  s[14] = s5 >> 7;
+  s[15] = (s5 >> 15) | (s6 << 6);
+  s[16] = s6 >> 2;
+  s[17] = s6 >> 10;
+  s[18] = (s6 >> 18) | (s7 << 3);
+  s[19] = s7 >> 5;
+  s[20] = s7 >> 13;
+  s[21] = s8 >> 0;
+  s[22] = s8 >> 8;
+  s[23] = (s8 >> 16) | (s9 << 5);
+  s[24] = s9 >> 3;
+  s[25] = s9 >> 11;
+  s[26] = (s9 >> 19) | (s10 << 2);
+  s[27] = s10 >> 6;
+  s[28] = (s10 >> 14) | (s11 << 7);
+  s[29] = s11 >> 1;
+  s[30] = s11 >> 9;
+  s[31] = s11 >> 17;
+}

src/ext/ed25519/ref10/sc_reduce.c

@@ -0,0 +1,275 @@
+#include "sc.h"
+#include "crypto_int64.h"
+#include "crypto_uint32.h"
+#include "crypto_uint64.h"
+
+static crypto_uint64 load_3(const unsigned char *in)
+{
+  crypto_uint64 result;
+  result = (crypto_uint64) in[0];
+  result |= ((crypto_uint64) in[1]) << 8;
+  result |= ((crypto_uint64) in[2]) << 16;
+  return result;
+}
+
+static crypto_uint64 load_4(const unsigned char *in)
+{
+  crypto_uint64 result;
+  result = (crypto_uint64) in[0];
+  result |= ((crypto_uint64) in[1]) << 8;
+  result |= ((crypto_uint64) in[2]) << 16;
+  result |= ((crypto_uint64) in[3]) << 24;
+  return result;
+}
+
+/*
+Input:
+  s[0]+256*s[1]+...+256^63*s[63] = s
+
+Output:
+  s[0]+256*s[1]+...+256^31*s[31] = s mod l
+  where l = 2^252 + 27742317777372353535851937790883648493.
+  Overwrites s in place.
+*/
+
+void sc_reduce(unsigned char *s)
+{
+  crypto_int64 s0 = 2097151 & load_3(s);
+  crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5);
+  crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2);
+  crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7);
+  crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4);
+  crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1);
+  crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6);
+  crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3);
+  crypto_int64 s8 = 2097151 & load_3(s + 21);
+  crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5);
+  crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2);
+  crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7);
+  crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4);
+  crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1);
+  crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6);
+  crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3);
+  crypto_int64 s16 = 2097151 & load_3(s + 42);
+  crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5);
+  crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2);
+  crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7);
+  crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4);
+  crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1);
+  crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6);
+  crypto_int64 s23 = (load_4(s + 60) >> 3);
+  crypto_int64 carry0;
+  crypto_int64 carry1;
+  crypto_int64 carry2;
+  crypto_int64 carry3;
+  crypto_int64 carry4;
+  crypto_int64 carry5;
+  crypto_int64 carry6;
+  crypto_int64 carry7;
+  crypto_int64 carry8;
+  crypto_int64 carry9;
+  crypto_int64 carry10;
+  crypto_int64 carry11;
+  crypto_int64 carry12;
+  crypto_int64 carry13;
+  crypto_int64 carry14;
+  crypto_int64 carry15;
+  crypto_int64 carry16;
+
+  s11 += s23 * 666643;
+  s12 += s23 * 470296;
+  s13 += s23 * 654183;
+  s14 -= s23 * 997805;
+  s15 += s23 * 136657;
+  s16 -= s23 * 683901;
+  s23 = 0;
+
+  s10 += s22 * 666643;
+  s11 += s22 * 470296;
+  s12 += s22 * 654183;
+  s13 -= s22 * 997805;
+  s14 += s22 * 136657;
+  s15 -= s22 * 683901;
+  s22 = 0;
+
+  s9 += s21 * 666643;
+  s10 += s21 * 470296;
+  s11 += s21 * 654183;
+  s12 -= s21 * 997805;
+  s13 += s21 * 136657;
+  s14 -= s21 * 683901;
+  s21 = 0;
+
+  s8 += s20 * 666643;
+  s9 += s20 * 470296;
+  s10 += s20 * 654183;
+  s11 -= s20 * 997805;
+  s12 += s20 * 136657;
+  s13 -= s20 * 683901;
+  s20 = 0;
+
+  s7 += s19 * 666643;
+  s8 += s19 * 470296;
+  s9 += s19 * 654183;
+  s10 -= s19 * 997805;
+  s11 += s19 * 136657;
+  s12 -= s19 * 683901;
+  s19 = 0;
+
+  s6 += s18 * 666643;
+  s7 += s18 * 470296;
+  s8 += s18 * 654183;
+  s9 -= s18 * 997805;
+  s10 += s18 * 136657;
+  s11 -= s18 * 683901;
+  s18 = 0;
+
+  carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
+  carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
+  carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
+  carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
+  carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
+  carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
+
+  carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
+  carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
+  carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
+  carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
+  carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
+
+  s5 += s17 * 666643;
+  s6 += s17 * 470296;
+  s7 += s17 * 654183;
+  s8 -= s17 * 997805;
+  s9 += s17 * 136657;
+  s10 -= s17 * 683901;
+  s17 = 0;
+
+  s4 += s16 * 666643;
+  s5 += s16 * 470296;
+  s6 += s16 * 654183;
+  s7 -= s16 * 997805;
+  s8 += s16 * 136657;
+  s9 -= s16 * 683901;
+  s16 = 0;
+
+  s3 += s15 * 666643;
+  s4 += s15 * 470296;
+  s5 += s15 * 654183;
+  s6 -= s15 * 997805;
+  s7 += s15 * 136657;
+  s8 -= s15 * 683901;
+  s15 = 0;
+
+  s2 += s14 * 666643;
+  s3 += s14 * 470296;
+  s4 += s14 * 654183;
+  s5 -= s14 * 997805;
+  s6 += s14 * 136657;
+  s7 -= s14 * 683901;
+  s14 = 0;
+
+  s1 += s13 * 666643;
+  s2 += s13 * 470296;
+  s3 += s13 * 654183;
+  s4 -= s13 * 997805;
+  s5 += s13 * 136657;
+  s6 -= s13 * 683901;
+  s13 = 0;
+
+  s0 += s12 * 666643;
+  s1 += s12 * 470296;
+  s2 += s12 * 654183;
+  s3 -= s12 * 997805;
+  s4 += s12 * 136657;
+  s5 -= s12 * 683901;
+  s12 = 0;
+
+  carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
+  carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
+  carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
+  carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
+  carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
+  carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
+
+  carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
+  carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
+  carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
+  carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
+  carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
+  carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
+
+  s0 += s12 * 666643;
+  s1 += s12 * 470296;
+  s2 += s12 * 654183;
+  s3 -= s12 * 997805;
+  s4 += s12 * 136657;
+  s5 -= s12 * 683901;
+  s12 = 0;
+
+  carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
+  carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
+  carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
+  carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
+  carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
+  carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
+  carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
+  carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
+  carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
+  carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
+  carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
+  carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;
+
+  s0 += s12 * 666643;
+  s1 += s12 * 470296;
+  s2 += s12 * 654183;
+  s3 -= s12 * 997805;
+  s4 += s12 * 136657;
+  s5 -= s12 * 683901;
+  s12 = 0;
+
+  carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
+  carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
+  carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
+  carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
+  carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
+  carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
+  carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
+  carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
+  carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
+  carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
+  carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
+
+  s[0] = s0 >> 0;
+  s[1] = s0 >> 8;
+  s[2] = (s0 >> 16) | (s1 << 5);
+  s[3] = s1 >> 3;
+  s[4] = s1 >> 11;
+  s[5] = (s1 >> 19) | (s2 << 2);
+  s[6] = s2 >> 6;
+  s[7] = (s2 >> 14) | (s3 << 7);
+  s[8] = s3 >> 1;
+  s[9] = s3 >> 9;
+  s[10] = (s3 >> 17) | (s4 << 4);
+  s[11] = s4 >> 4;
+  s[12] = s4 >> 12;
+  s[13] = (s4 >> 20) | (s5 << 1);
+  s[14] = s5 >> 7;
+  s[15] = (s5 >> 15) | (s6 << 6);
+  s[16] = s6 >> 2;
+  s[17] = s6 >> 10;
+  s[18] = (s6 >> 18) | (s7 << 3);
+  s[19] = s7 >> 5;
+  s[20] = s7 >> 13;
+  s[21] = s8 >> 0;
+  s[22] = s8 >> 8;
+  s[23] = (s8 >> 16) | (s9 << 5);
+  s[24] = s9 >> 3;
+  s[25] = s9 >> 11;
+  s[26] = (s9 >> 19) | (s10 << 2);
+  s[27] = s10 >> 6;
+  s[28] = (s10 >> 14) | (s11 << 7);
+  s[29] = s11 >> 1;
+  s[30] = s11 >> 9;
+  s[31] = s11 >> 17;
+}

src/ext/ed25519/ref10/sign.c

@@ -0,0 +1,29 @@
+/* (Modified by Tor to generate detached signatures.) */
+#include <string.h>
+#include "crypto_sign.h"
+#include "crypto_hash_sha512.h"
+#include "ge.h"
+#include "sc.h"
+
+int crypto_sign(
+  unsigned char *sig,
+  const unsigned char *m,uint64_t mlen,
+  const unsigned char *sk,const unsigned char *pk
+)
+{
+  unsigned char nonce[64];
+  unsigned char hram[64];
+  ge_p3 R;
+
+  crypto_hash_sha512_2(nonce, sk+32, 32, m, mlen);
+
+  sc_reduce(nonce);
+  ge_scalarmult_base(&R,nonce);
+  ge_p3_tobytes(sig,&R);
+
+  crypto_hash_sha512_3(hram, sig, 32, pk, 32, m, mlen);
+  sc_reduce(hram);
+  sc_muladd(sig + 32,hram,sk,nonce);
+
+  return 0;
+}

src/ext/ed25519/ref10/sqrtm1.h

@@ -0,0 +1 @@
+-32595792,-7943725,9377950,3500415,12389472,-272473,-25146209,-2005654,326686,11406482

src/ext/ed25519/ref10/sqrtm1.py

@@ -0,0 +1,28 @@
+q = 2**255 - 19
+
+def expmod(b,e,m):
+  if e == 0: return 1
+  t = expmod(b,e/2,m)**2 % m
+  if e & 1: t = (t*b) % m
+  return t
+
+def inv(x):
+  return expmod(x,q-2,q)
+
+def radix255(x):
+  x = x % q
+  if x + x > q: x -= q
+  x = [x,0,0,0,0,0,0,0,0,0]
+  bits = [26,25,26,25,26,25,26,25,26,25]
+  for i in range(9):
+    carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i]
+    x[i] -= carry * 2**bits[i]
+    x[i + 1] += carry
+  result = ""
+  for i in range(9):
+    result = result+str(x[i])+","
+  result = result+str(x[9])
+  return result
+
+I = expmod(2,(q-1)/4,q)
+print radix255(I)

src/ext/include.am

@@ -15,4 +15,71 @@ EXTHEADERS = \
 
 noinst_HEADERS+= $(EXTHEADERS)
 
+src_ext_ed25519_ref10_libed25519_ref10_a_CFLAGS=
+
+src_ext_ed25519_ref10_libed25519_ref10_a_SOURCES= \
+	src/ext/ed25519/ref10/fe_0.c \
+	src/ext/ed25519/ref10/fe_1.c \
+	src/ext/ed25519/ref10/fe_add.c \
+	src/ext/ed25519/ref10/fe_cmov.c \
+	src/ext/ed25519/ref10/fe_copy.c \
+	src/ext/ed25519/ref10/fe_frombytes.c \
+	src/ext/ed25519/ref10/fe_invert.c \
+	src/ext/ed25519/ref10/fe_isnegative.c \
+	src/ext/ed25519/ref10/fe_isnonzero.c \
+	src/ext/ed25519/ref10/fe_mul.c \
+	src/ext/ed25519/ref10/fe_neg.c \
+	src/ext/ed25519/ref10/fe_pow22523.c \
+	src/ext/ed25519/ref10/fe_sq.c \
+	src/ext/ed25519/ref10/fe_sq2.c \
+	src/ext/ed25519/ref10/fe_sub.c \
+	src/ext/ed25519/ref10/fe_tobytes.c \
+	src/ext/ed25519/ref10/ge_add.c \
+	src/ext/ed25519/ref10/ge_double_scalarmult.c \
+	src/ext/ed25519/ref10/ge_frombytes.c \
+	src/ext/ed25519/ref10/ge_madd.c \
+	src/ext/ed25519/ref10/ge_msub.c \
+	src/ext/ed25519/ref10/ge_p1p1_to_p2.c \
+	src/ext/ed25519/ref10/ge_p1p1_to_p3.c \
+	src/ext/ed25519/ref10/ge_p2_0.c \
+	src/ext/ed25519/ref10/ge_p2_dbl.c \
+	src/ext/ed25519/ref10/ge_p3_0.c \
+	src/ext/ed25519/ref10/ge_p3_dbl.c \
+	src/ext/ed25519/ref10/ge_p3_to_cached.c \
+	src/ext/ed25519/ref10/ge_p3_to_p2.c \
+	src/ext/ed25519/ref10/ge_p3_tobytes.c \
+	src/ext/ed25519/ref10/ge_precomp_0.c \
+	src/ext/ed25519/ref10/ge_scalarmult_base.c \
+	src/ext/ed25519/ref10/ge_sub.c \
+	src/ext/ed25519/ref10/ge_tobytes.c \
+	src/ext/ed25519/ref10/keypair.c \
+	src/ext/ed25519/ref10/open.c \
+	src/ext/ed25519/ref10/sc_muladd.c \
+	src/ext/ed25519/ref10/sc_reduce.c \
+	src/ext/ed25519/ref10/sign.c \
+	src/ext/ed25519/ref10/keyconv.c \
+	src/ext/ed25519/ref10/blinding.c
+
+ED25519_REF10_HDRS = \
+	src/ext/ed25519/ref10/api.h \
+	src/ext/ed25519/ref10/base.h \
+	src/ext/ed25519/ref10/base2.h \
+	src/ext/ed25519/ref10/d.h \
+	src/ext/ed25519/ref10/d2.h \
+	src/ext/ed25519/ref10/fe.h \
+	src/ext/ed25519/ref10/ge.h \
+	src/ext/ed25519/ref10/ge_add.h \
+	src/ext/ed25519/ref10/ge_madd.h \
+	src/ext/ed25519/ref10/ge_msub.h \
+	src/ext/ed25519/ref10/ge_p2_dbl.h \
+	src/ext/ed25519/ref10/ge_sub.h \
+	src/ext/ed25519/ref10/pow22523.h \
+	src/ext/ed25519/ref10/pow225521.h \
+	src/ext/ed25519/ref10/sc.h \
+	src/ext/ed25519/ref10/sqrtm1.h
+
+noinst_HEADERS += $(ED25519_REF10_HDRS)
+
+LIBED25519_REF10=src/ext/ed25519/ref10/libed25519_ref10.a
+noinst_LIBRARIES += $(LIBED25519_REF10)
 

src/test/bench.c

@@ -30,6 +30,7 @@ const char tor_git_revision[] = "";
 #include "crypto_curve25519.h"
 #include "onion_ntor.h"
 #endif
+#include "crypto_ed25519.h"
 
 #if defined(HAVE_CLOCK_GETTIME) && defined(CLOCK_PROCESS_CPUTIME_ID)
 static uint64_t nanostart;
@@ -79,6 +80,9 @@ perftime(void)
 #define NANOCOUNT(start,end,iters) \
   ( ((double)((end)-(start))) / (iters) )
 
+#define MICROCOUNT(start,end,iters) \
+  ( NANOCOUNT((start), (end), (iters)) / 1000.0 )
+
 /** Run AES performance benchmarks. */
 static void
 bench_aes(void)
@@ -234,6 +238,63 @@ bench_onion_ntor(void)
 }
 #endif
 
+static void
+bench_ed25519(void)
+{
+  uint64_t start, end;
+  const int iters = 1<<12;
+  int i;
+  const uint8_t msg[] = "but leaving, could not tell what they had heard";
+  ed25519_signature_t sig;
+  ed25519_keypair_t kp;
+  curve25519_keypair_t curve_kp;
+  ed25519_public_key_t pubkey_tmp;
+
+  ed25519_secret_key_generate(&kp.seckey, 0);
+  start = perftime();
+  for (i = 0; i < iters; ++i) {
+    ed25519_public_key_generate(&kp.pubkey, &kp.seckey);
+  }
+  end = perftime();
+  printf("Generate public key: %.2f usec\n",
+         MICROCOUNT(start, end, iters));
+
+  start = perftime();
+  for (i = 0; i < iters; ++i) {
+    ed25519_sign(&sig, msg, sizeof(msg), &kp);
+  }
+  end = perftime();
+  printf("Sign a short message: %.2f usec\n",
+         MICROCOUNT(start, end, iters));
+
+  start = perftime();
+  for (i = 0; i < iters; ++i) {
+    ed25519_checksig(&sig, msg, sizeof(msg), &kp.pubkey);
+  }
+  end = perftime();
+  printf("Verify signature: %.2f usec\n",
+         MICROCOUNT(start, end, iters));
+
+  curve25519_keypair_generate(&curve_kp, 0);
+  start = perftime();
+  for (i = 0; i < iters; ++i) {
+    ed25519_public_key_from_curve25519_public_key(&pubkey_tmp,
+                                                  &curve_kp.pubkey, 1);
+  }
+  end = perftime();
+  printf("Convert public point from curve25519: %.2f usec\n",
+         MICROCOUNT(start, end, iters));
+
+  curve25519_keypair_generate(&curve_kp, 0);
+  start = perftime();
+  for (i = 0; i < iters; ++i) {
+    ed25519_public_blind(&pubkey_tmp, &kp.pubkey, msg);
+  }
+  end = perftime();
+  printf("Blind a public key: %.2f usec\n",
+         MICROCOUNT(start, end, iters));
+}
+
 static void
 bench_cell_aes(void)
 {
@@ -515,6 +576,7 @@ static struct benchmark_t benchmarks[] = {
 #ifdef CURVE25519_ENABLED
   ENT(onion_ntor),
 #endif
+  ENT(ed25519),
   ENT(cell_aes),
   ENT(cell_ops),
   ENT(dh),

src/test/ed25519_exts_ref.py

@@ -0,0 +1,234 @@
+#!/usr/bin/python
+# Copyright 2014, The Tor Project, Inc
+# See LICENSE for licensing information
+
+"""
+   Reference implementations for the ed25519 tweaks that Tor uses.
+
+   Includes self-tester and test vector generator.
+"""
+
+import slow_ed25519
+from slow_ed25519 import *
+
+import os
+import random
+import slownacl_curve25519
+import unittest
+import binascii
+import textwrap
+
+#define a synonym that doesn't look like 1
+ell = l
+
+# This replaces expmod above and makes it go a lot faster.
+slow_ed25519.expmod = pow
+
+def curve25519ToEd25519(c, sign):
+    u = decodeint(c)
+    y = ((u - 1) * inv(u + 1)) % q
+    x = xrecover(y)
+    if x & 1 != sign: x = q-x
+    return encodepoint([x,y])
+
+def blindESK(esk, param):
+    h = H("Derive temporary signing key" + param)
+    mult = 2**(b-2) + sum(2**i * bit(h,i) for i in range(3,b-2))
+    s = decodeint(esk[:32])
+    s_prime = (s * mult) % ell
+    k = esk[32:]
+    assert(len(k) == 32)
+    k_prime = H("Derive temporary signing key hash input" + k)[:32]
+    return encodeint(s_prime) + k_prime
+
+def blindPK(pk, param):
+    h = H("Derive temporary signing key" + param)
+    mult = 2**(b-2) + sum(2**i * bit(h,i) for i in range(3,b-2))
+    P = decodepoint(pk)
+    return encodepoint(scalarmult(P, mult))
+
+def expandSK(sk):
+    h = H(sk)
+    a = 2**(b-2) + sum(2**i * bit(h,i) for i in range(3,b-2))
+    k = ''.join([h[i] for i in range(b/8,b/4)])
+    assert len(k) == 32
+    return encodeint(a)+k
+
+def publickeyFromESK(h):
+    a = decodeint(h[:32])
+    A = scalarmult(B,a)
+    return encodepoint(A)
+
+def signatureWithESK(m,h,pk):
+    a = decodeint(h[:32])
+    r = Hint(''.join([h[i] for i in range(b/8,b/4)]) + m)
+    R = scalarmult(B,r)
+    S = (r + Hint(encodepoint(R) + pk + m) * a) % l
+    return encodepoint(R) + encodeint(S)
+
+def newSK():
+    return os.urandom(32)
+
+# ------------------------------------------------------------
+
+MSG = "This is extremely silly. But it is also incredibly serious business!"
+
+class SelfTest(unittest.TestCase):
+
+    def _testSignatures(self, esk, pk):
+        sig = signatureWithESK(MSG, esk, pk)
+        checkvalid(sig, MSG, pk)
+        bad = False
+        try:
+            checkvalid(sig, MSG*2, pk)
+            bad = True
+        except Exception:
+            pass
+
+        self.failIf(bad)
+
+    def testExpand(self):
+        sk = newSK()
+        pk = publickey(sk)
+        esk = expandSK(sk)
+        sig1 = signature(MSG, sk, pk)
+        sig2 = signatureWithESK(MSG, esk, pk)
+        self.assertEquals(sig1, sig2)
+
+    def testSignatures(self):
+        sk = newSK()
+        esk = expandSK(sk)
+        pk = publickeyFromESK(esk)
+        pk2 = publickey(sk)
+        self.assertEquals(pk, pk2)
+
+        self._testSignatures(esk, pk)
+
+    def testDerivation(self):
+        priv = slownacl_curve25519.Private()
+        pub = priv.get_public()
+
+        ed_pub0 = publickeyFromESK(priv.private)
+        sign = (ord(ed_pub0[31]) & 255) >> 7
+        ed_pub1 = curve25519ToEd25519(pub.public, sign)
+
+        self.assertEquals(ed_pub0, ed_pub1)
+
+    def testBlinding(self):
+        sk = newSK()
+        esk = expandSK(sk)
+        pk = publickeyFromESK(esk)
+        param = os.urandom(32)
+        besk = blindESK(esk, param)
+        bpk = blindPK(pk, param)
+        bpk2 = publickeyFromESK(besk)
+        self.assertEquals(bpk, bpk2)
+
+        self._testSignatures(besk, bpk)
+
+# ------------------------------------------------------------
+
+# From pprint.pprint([ binascii.b2a_hex(os.urandom(32)) for _ in xrange(8) ])
+RAND_INPUTS = [
+  '26c76712d89d906e6672dafa614c42e5cb1caac8c6568e4d2493087db51f0d36',
+  'fba7a5366b5cb98c2667a18783f5cf8f4f8d1a2ce939ad22a6e685edde85128d',
+  '67e3aa7a14fac8445d15e45e38a523481a69ae35513c9e4143eb1c2196729a0e',
+  'd51385942033a76dc17f089a59e6a5a7fe80d9c526ae8ddd8c3a506b99d3d0a6',
+  '5c8eac469bb3f1b85bc7cd893f52dc42a9ab66f1b02b5ce6a68e9b175d3bb433',
+  'eda433d483059b6d1ff8b7cfbd0fe406bfb23722c8f3c8252629284573b61b86',
+  '4377c40431c30883c5fbd9bc92ae48d1ed8a47b81d13806beac5351739b5533d',
+  'c6bbcce615839756aed2cc78b1de13884dd3618f48367a17597a16c1cd7a290b']
+
+# From pprint.pprint([ binascii.b2a_hex(os.urandom(32)) for _ in xrange(8) ])
+BLINDING_PARAMS = [
+  '54a513898b471d1d448a2f3c55c1de2c0ef718c447b04497eeb999ed32027823',
+  '831e9b5325b5d31b7ae6197e9c7a7baf2ec361e08248bce055908971047a2347',
+  'ac78a1d46faf3bfbbdc5af5f053dc6dc9023ed78236bec1760dadfd0b2603760',
+  'f9c84dc0ac31571507993df94da1b3d28684a12ad14e67d0a068aba5c53019fc',
+  'b1fe79d1dec9bc108df69f6612c72812755751f21ecc5af99663b30be8b9081f',
+  '81f1512b63ab5fb5c1711a4ec83d379c420574aedffa8c3368e1c3989a3a0084',
+  '97f45142597c473a4b0e9a12d64561133ad9e1155fe5a9807fe6af8a93557818',
+  '3f44f6a5a92cde816635dfc12ade70539871078d2ff097278be2a555c9859cd0']
+
+PREFIX = "ED25519_"
+
+def writeArray(name, array):
+    print "static const char *{prefix}{name}[] = {{".format(
+        prefix=PREFIX,name=name)
+    for a in array:
+        h = binascii.b2a_hex(a)
+        if len(h) > 70:
+            h1 = h[:70]
+            h2 = h[70:]
+            print '  "{0}"\n      "{1}",'.format(h1,h2)
+        else:
+            print '  "{0}",'.format(h)
+    print "};\n"
+
+def comment(text, initial="/**"):
+    print initial
+    print textwrap.fill(text,initial_indent=" * ",subsequent_indent=" * ")
+    print " */"
+
+def makeTestVectors():
+    comment("""Test vectors for our ed25519 implementation and related
+               functions. These were automatically generated by the
+               ed25519_exts_ref.py script.""", initial="/*")
+
+
+    comment("""Secret key seeds used as inputs for the ed25519 test vectors.
+               Randomly generated. """)
+    secretKeys = [ binascii.a2b_hex(r) for r in RAND_INPUTS ]
+    writeArray("SECRET_KEYS", secretKeys)
+
+    comment("""Secret ed25519 keys after expansion from seeds. This is how Tor
+               represents them internally.""")
+    expandedSecretKeys = [ expandSK(sk) for sk in secretKeys ]
+    writeArray("EXPANDED_SECRET_KEYS", expandedSecretKeys)
+
+    comment("""Public keys derived from the above secret keys""")
+    publicKeys = [ publickey(sk) for sk in secretKeys ]
+    writeArray("PUBLIC_KEYS", publicKeys)
+
+    comment("""The curve25519 public keys from which the ed25519 keys can be
+               derived.  Used to test our 'derive ed25519 from curve25519'
+               code.""")
+    writeArray("CURVE25519_PUBLIC_KEYS",
+               (slownacl_curve25519.smult_curve25519_base(sk[:32])
+                   for sk in expandedSecretKeys))
+
+    comment("""Parameters used for key blinding tests. Randomly generated.""")
+    blindingParams =  [ binascii.a2b_hex(r) for r in BLINDING_PARAMS ]
+    writeArray("BLINDING_PARAMS", blindingParams)
+
+    comment("""Blinded secret keys for testing key blinding.  The nth blinded
+               key corresponds to the nth secret key blidned with the nth
+               blinding parameter.""")
+    writeArray("BLINDED_SECRET_KEYS",
+               (blindESK(expandSK(sk), bp)
+                for sk,bp in zip(secretKeys,blindingParams)))
+
+    comment("""Blinded public keys for testing key blinding.  The nth blinded
+               key corresponds to the nth public key blidned with the nth
+               blinding parameter.""")
+    writeArray("BLINDED_PUBLIC_KEYS",
+               (blindPK(pk, bp) for pk,bp in zip(publicKeys,blindingParams)))
+
+    comment("""Signatures of the public keys, made with their corresponding
+               secret keys.""")
+    writeArray("SELF_SIGNATURES",
+               (signature(pk, sk, pk) for pk,sk in zip(publicKeys,secretKeys)))
+
+
+
+if __name__ == '__main__':
+    import sys
+    if len(sys.argv) == 1 or sys.argv[1] not in ("SelfTest", "MakeVectors"):
+        print "You should specify one of 'SelfTest' or 'MakeVectors'"
+        sys.exit(1)
+    if sys.argv[1] == 'SelfTest':
+        unittest.main()
+    else:
+        makeTestVectors()
+
+

src/test/ed25519_vectors.inc

@@ -0,0 +1,150 @@
+/*
+ * Test vectors for our ed25519 implementation and related
+ * functions. These were automatically generated by the
+ * ed25519_exts_ref.py script.
+ */
+/**
+ * Secret key seeds used as inputs for the ed25519 test vectors.
+ * Randomly generated.
+ */
+static const char *ED25519_SECRET_KEYS[] = {
+  "26c76712d89d906e6672dafa614c42e5cb1caac8c6568e4d2493087db51f0d36",
+  "fba7a5366b5cb98c2667a18783f5cf8f4f8d1a2ce939ad22a6e685edde85128d",
+  "67e3aa7a14fac8445d15e45e38a523481a69ae35513c9e4143eb1c2196729a0e",
+  "d51385942033a76dc17f089a59e6a5a7fe80d9c526ae8ddd8c3a506b99d3d0a6",
+  "5c8eac469bb3f1b85bc7cd893f52dc42a9ab66f1b02b5ce6a68e9b175d3bb433",
+  "eda433d483059b6d1ff8b7cfbd0fe406bfb23722c8f3c8252629284573b61b86",
+  "4377c40431c30883c5fbd9bc92ae48d1ed8a47b81d13806beac5351739b5533d",
+  "c6bbcce615839756aed2cc78b1de13884dd3618f48367a17597a16c1cd7a290b",
+};
+
+/**
+ * Secret ed25519 keys after expansion from seeds. This is how Tor
+ * represents them internally.
+ */
+static const char *ED25519_EXPANDED_SECRET_KEYS[] = {
+  "c0a4de23cc64392d85aa1da82b3defddbea946d13bb053bf8489fa9296281f495022f1"
+      "f7ec0dcf52f07d4c7965c4eaed121d5d88d0a8ff546b06116a20e97755",
+  "18a8a69a06790dac778e882f7e868baacfa12521a5c058f5194f3a729184514a2a656f"
+      "e7799c3e41f43d756da8d9cd47a061316cfe6147e23ea2f90d1ca45f30",
+  "58d84f8862d2ecfa30eb491a81c36d05b574310ea69dae18ecb57e992a896656b98218"
+      "7ee96c15bf4caeeab2d0b0ae4cd0b8d17470fc7efa98bb26428f4ef36d",
+  "50702d20b3550c6e16033db5ad4fba16436f1ecc7485be6af62b0732ceb5d173c47ccd"
+      "9d044b6ea99dd99256adcc9c62191be194e7cb1a5b58ddcec85d876a2b",
+  "7077464c864c2ed5ed21c9916dc3b3ba6256f8b742fec67658d8d233dadc8d5a7a82c3"
+      "71083cc86892c2c8782dda2a09b6baf016aec51b689183ae59ce932ff2",
+  "8883c1387a6c86fc0bd7b9f157b4e4cd83f6885bf55e2706d2235d4527a2f05311a359"
+      "5953282e436df0349e1bb313a19b3ddbf7a7b91ecce8a2c34abadb38b3",
+  "186791ac8d03a3ac8efed6ac360467edd5a3bed2d02b3be713ddd5be53b3287ee37436"
+      "e5fd7ac43794394507ad440ecfdf59c4c255f19b768a273109e06d7d8e",
+  "b003077c1e52a62308eef7950b2d532e1d4a7eea50ad22d8ac11b892851f1c40ffb9c9"
+      "ff8dcd0c6c233f665a2e176324d92416bfcfcd1f787424c0c667452d86",
+};
+
+/**
+ * Public keys derived from the above secret keys
+ */
+static const char *ED25519_PUBLIC_KEYS[] = {
+  "c2247870536a192d142d056abefca68d6193158e7c1a59c1654c954eccaff894",
+  "1519a3b15816a1aafab0b213892026ebf5c0dc232c58b21088d88cb90e9b940d",
+  "081faa81992e360ea22c06af1aba096e7a73f1c665bc8b3e4e531c46455fd1dd",
+  "73cfa1189a723aad7966137cbffa35140bb40d7e16eae4c40b79b5f0360dd65a",
+  "66c1a77104d86461b6f98f73acf3cd229c80624495d2d74d6fda1e940080a96b",
+  "d21c294db0e64cb2d8976625786ede1d9754186ae8197a64d72f68c792eecc19",
+  "c4d58b4cf85a348ff3d410dd936fa460c4f18da962c01b1963792b9dcc8a6ea6",
+  "95126f14d86494020665face03f2d42ee2b312a85bc729903eb17522954a1c4a",
+};
+
+/**
+ * The curve25519 public keys from which the ed25519 keys can be
+ * derived.  Used to test our 'derive ed25519 from curve25519'
+ * code.
+ */
+static const char *ED25519_CURVE25519_PUBLIC_KEYS[] = {
+  "17ba77846e04c7ee5ca17cade774ac1884408f9701f439d4df32cbd8736c6a1f",
+  "022be2124bc1899a78ba2b4167d191af3b59cadf94f0382bc31ce183a117f161",
+  "bf4fd38ef22f718f03c0a12ba5127bd1e3afd494793753f519728b29cc577571",
+  "56c493e490261cef31633efd2461d2b896908e90459e4eecde950a895aef681d",
+  "089675a3e8ff2a7d8b2844a79269c95b7f97a4b8b5ea0cbeec669c6f2dea9b39",
+  "59e20dcb691c4a345fe86c8a79ac817e5b514d84bbf0512a842a08e43f7f087e",
+  "9e43b820b320eda35f66f122c155b2bf8e2192c468617b7115bf067d19e08369",
+  "861f33296cb57f8f01e4a5e8a7e5d5d7043a6247586ab36dea8a1a3c4403ee30",
+};
+
+/**
+ * Parameters used for key blinding tests. Randomly generated.
+ */
+static const char *ED25519_BLINDING_PARAMS[] = {
+  "54a513898b471d1d448a2f3c55c1de2c0ef718c447b04497eeb999ed32027823",
+  "831e9b5325b5d31b7ae6197e9c7a7baf2ec361e08248bce055908971047a2347",
+  "ac78a1d46faf3bfbbdc5af5f053dc6dc9023ed78236bec1760dadfd0b2603760",
+  "f9c84dc0ac31571507993df94da1b3d28684a12ad14e67d0a068aba5c53019fc",
+  "b1fe79d1dec9bc108df69f6612c72812755751f21ecc5af99663b30be8b9081f",
+  "81f1512b63ab5fb5c1711a4ec83d379c420574aedffa8c3368e1c3989a3a0084",
+  "97f45142597c473a4b0e9a12d64561133ad9e1155fe5a9807fe6af8a93557818",
+  "3f44f6a5a92cde816635dfc12ade70539871078d2ff097278be2a555c9859cd0",
+};
+
+/**
+ * Blinded secret keys for testing key blinding.  The nth blinded
+ * key corresponds to the nth secret key blidned with the nth
+ * blinding parameter.
+ */
+static const char *ED25519_BLINDED_SECRET_KEYS[] = {
+  "014e83abadb2ca9a27e0ffe23920333d817729f48700e97656ec2823d694050e171d43"
+      "f24e3f53e70ec7ac280044ac77d4942dee5d6807118a59bdf3ee647e89",
+  "fad8cca0b4335847795288b1452508752b253e64e6c7c78d4a02dbbd7d46aa0eb8ceff"
+      "20dfcf53eb52b891fc078c934efbf0353af7242e7dc51bb32a093afa29",
+  "116eb0ae0a4a91763365bdf86db427b00862db448487808788cc339ac10e5e089217f5"
+      "2e92797462bd890fc274672e05c98f2c82970d640084781334aae0f940",
+  "bd1fbb0ee5acddc4adbcf5f33e95d9445f40326ce579fdd764a24483a9ccb20f509ece"
+      "e77082ce088f7c19d5a00e955eeef8df6fa41686abc1030c2d76807733",
+  "237f5345cefe8573ce9fa7e216381a1172796c9e3f70668ab503b1352952530fb57b95"
+      "a440570659a440a3e4771465022a8e67af86bdf2d0990c54e7bb87ff9a",
+  "ba8ff23bc4ad2b739e1ccffc9fbc7837053ea81cdfdb15073f56411cfbae1d0ec492fc"
+      "87d5ec2a1b185ca5a40541fdef0b1e128fd5c2380c888bfa924711bcab",
+  "0fa68f969de038c7a90a4a74ee6167c77582006f2dedecc1956501ba6b6fb10391b476"
+      "8f8e556d78f4bdcb9a13b6f6066fe81d3134ae965dc48cd0785b3af2b8",
+  "deaa3456d1c21944d5dcd361a646858c6cf9336b0a6851d925717eb1ae186902053d9c"
+      "00c81e1331c06ab50087be8cfc7dc11691b132614474f1aa9c2503cccd",
+};
+
+/**
+ * Blinded public keys for testing key blinding.  The nth blinded
+ * key corresponds to the nth public key blidned with the nth
+ * blinding parameter.
+ */
+static const char *ED25519_BLINDED_PUBLIC_KEYS[] = {
+  "722d6da6348e618967ef782e71061e27163a8b35f21856475d9d2023f65b6495",
+  "1dffa0586da6cbfcff2024eedf4fc6c818242d9a82dbbe635d6da1b975a1160d",
+  "5ed81f98fed5a6acda4ea6da2c34fab0ab359d950c510c256473f1f33ff438b4",
+  "6e6f92a54fb282120c46d9603df41135f025bc1f58f283809d04be96aeb04040",
+  "cda236f28edc4c7e02d18007b8dab49d669265b0f7aefb1824d7cc8e73a2cd63",
+  "367b03b17b67ca7329b89a520bdab91782402a41cd67264e34b5541a4b3f875b",
+  "8d486b03ac4e3b486b7a1d563706c7fdac75aee789a7cf6f22789eedeff61a31",
+  "9f297ff0aa2ceda91c5ab1b6446f12533d145940de6d850dc323417afde0cb78",
+};
+
+/**
+ * Signatures of the public keys, made with their corresponding
+ * secret keys.
+ */
+static const char *ED25519_SELF_SIGNATURES[] = {
+  "d23188eac3773a316d46006fa59c095060be8b1a23582a0dd99002a82a0662bd246d84"
+      "49e172e04c5f46ac0d1404cebe4aabd8a75a1457aa06cae41f3334f104",
+  "3a785ac1201c97ee5f6f0d99323960d5f264c7825e61aa7cc81262f15bef75eb4fa572"
+      "3add9b9d45b12311b6d403eb3ac79ff8e4e631fc3cd51e4ad2185b200b",
+  "cf431fd0416bfbd20c9d95ef9b723e2acddffb33900edc72195dea95965d52d888d30b"
+      "7b8a677c0bd8ae1417b1e1a0ec6700deadd5d8b54b6689275e04a04509",
+  "2375380cd72d1a6c642aeddff862be8a5804b916acb72c02d9ed052c1561881aa658a5"
+      "af856fcd6d43113e42f698cd6687c99efeef7f2ce045824440d26c5d00",
+  "2385a472f599ca965bbe4d610e391cdeabeba9c336694b0d6249e551458280be122c24"
+      "41dd9746a81bbfb9cd619364bab0df37ff4ceb7aefd24469c39d3bc508",
+  "e500cd0b8cfff35442f88008d894f3a2fa26ef7d3a0ca5714ae0d3e2d40caae58ba7cd"
+      "f69dd126994dad6be536fcda846d89dd8138d1683cc144c8853dce7607",
+  "d187b9e334b0050154de10bf69b3e4208a584e1a65015ec28b14bcc252cf84b8baa9c9"
+      "4867daa60f2a82d09ba9652d41e8dde292b624afc8d2c26441b95e3c0e",
+  "815213640a643d198bd056e02bba74e1c8d2d931643e84497adf3347eb485079c9afe0"
+      "afce9284cdc084946b561abbb214f1304ca11228ff82702185cf28f60d",
+};
+

src/test/include.am

@@ -74,7 +74,8 @@ src_test_bench_LDADD = src/or/libtor.a src/common/libor.a \
 
 noinst_HEADERS+= \
 	src/test/test.h \
-	src/test/test_descriptors.inc
+	src/test/test_descriptors.inc \
+	src/test/ed25519_vectors.inc
 
 if CURVE25519_ENABLED
 noinst_PROGRAMS+= src/test/test-ntor-cl

src/test/slow_ed25519.py

@@ -0,0 +1,115 @@
+# This is the ed25519 implementation from
+#     http://ed25519.cr.yp.to/python/ed25519.py .
+# It is in the public domain.
+#
+# It isn't constant-time.  Don't use it except for testing.  Also, see
+# warnings about how very slow it is.  Only use this for generating
+# test vectors, I'd suggest.
+#
+# Don't edit this file.  Mess with ed25519_ref.py
+
+import hashlib
+
+b = 256
+q = 2**255 - 19
+l = 2**252 + 27742317777372353535851937790883648493
+
+def H(m):
+  return hashlib.sha512(m).digest()
+
+def expmod(b,e,m):
+  if e == 0: return 1
+  t = expmod(b,e/2,m)**2 % m
+  if e & 1: t = (t*b) % m
+  return t
+
+def inv(x):
+  return expmod(x,q-2,q)
+
+d = -121665 * inv(121666)
+I = expmod(2,(q-1)/4,q)
+
+def xrecover(y):
+  xx = (y*y-1) * inv(d*y*y+1)
+  x = expmod(xx,(q+3)/8,q)
+  if (x*x - xx) % q != 0: x = (x*I) % q
+  if x % 2 != 0: x = q-x
+  return x
+
+By = 4 * inv(5)
+Bx = xrecover(By)
+B = [Bx % q,By % q]
+
+def edwards(P,Q):
+  x1 = P[0]
+  y1 = P[1]
+  x2 = Q[0]
+  y2 = Q[1]
+  x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2)
+  y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2)
+  return [x3 % q,y3 % q]
+
+def scalarmult(P,e):
+  if e == 0: return [0,1]
+  Q = scalarmult(P,e/2)
+  Q = edwards(Q,Q)
+  if e & 1: Q = edwards(Q,P)
+  return Q
+
+def encodeint(y):
+  bits = [(y >> i) & 1 for i in range(b)]
+  return ''.join([chr(sum([bits[i * 8 + j] << j for j in range(8)])) for i in range(b/8)])
+
+def encodepoint(P):
+  x = P[0]
+  y = P[1]
+  bits = [(y >> i) & 1 for i in range(b - 1)] + [x & 1]
+  return ''.join([chr(sum([bits[i * 8 + j] << j for j in range(8)])) for i in range(b/8)])
+
+def bit(h,i):
+  return (ord(h[i/8]) >> (i%8)) & 1
+
+def publickey(sk):
+  h = H(sk)
+  a = 2**(b-2) + sum(2**i * bit(h,i) for i in range(3,b-2))
+  A = scalarmult(B,a)
+  return encodepoint(A)
+
+def Hint(m):
+  h = H(m)
+  return sum(2**i * bit(h,i) for i in range(2*b))
+
+def signature(m,sk,pk):
+  h = H(sk)
+  a = 2**(b-2) + sum(2**i * bit(h,i) for i in range(3,b-2))
+  r = Hint(''.join([h[i] for i in range(b/8,b/4)]) + m)
+  R = scalarmult(B,r)
+  S = (r + Hint(encodepoint(R) + pk + m) * a) % l
+  return encodepoint(R) + encodeint(S)
+
+def isoncurve(P):
+  x = P[0]
+  y = P[1]
+  return (-x*x + y*y - 1 - d*x*x*y*y) % q == 0
+
+def decodeint(s):
+  return sum(2**i * bit(s,i) for i in range(0,b))
+
+def decodepoint(s):
+  y = sum(2**i * bit(s,i) for i in range(0,b-1))
+  x = xrecover(y)
+  if x & 1 != bit(s,b-1): x = q-x
+  P = [x,y]
+  if not isoncurve(P): raise Exception("decoding point that is not on curve")
+  return P
+
+def checkvalid(s,m,pk):
+  if len(s) != b/4: raise Exception("signature length is wrong")
+  if len(pk) != b/8: raise Exception("public-key length is wrong")
+  R = decodepoint(s[0:b/8])
+  A = decodepoint(pk)
+  S = decodeint(s[b/8:b/4])
+  h = Hint(encodepoint(R) + pk + m)
+  if scalarmult(B,S) != edwards(R,scalarmult(A,h)):
+    raise Exception("signature does not pass verification")
+

src/test/test_crypto.c

@@ -13,6 +13,8 @@
 #include "siphash.h"
 #ifdef CURVE25519_ENABLED
 #include "crypto_curve25519.h"
+#include "crypto_ed25519.h"
+#include "ed25519_vectors.inc"
 #endif
 #include "crypto_s2k.h"
 #include "crypto_pwbox.h"
@@ -1516,8 +1518,364 @@ test_crypto_curve25519_persist(void *arg)
   tor_free(tag);
 }
 
+static void
+test_crypto_ed25519_simple(void *arg)
+{
+  ed25519_keypair_t kp1, kp2;
+  ed25519_public_key_t pub1, pub2;
+  ed25519_secret_key_t sec1, sec2;
+  ed25519_signature_t sig1, sig2;
+  const uint8_t msg[] =
+    "GNU will be able to run Unix programs, "
+    "but will not be identical to Unix.";
+  const uint8_t msg2[] =
+    "Microsoft Windows extends the features of the DOS operating system, "
+    "yet is compatible with most existing applications that run under DOS.";
+  size_t msg_len = strlen((const char*)msg);
+  size_t msg2_len = strlen((const char*)msg2);
+
+  (void)arg;
+
+  tt_int_op(0, ==, ed25519_secret_key_generate(&sec1, 0));
+  tt_int_op(0, ==, ed25519_secret_key_generate(&sec2, 1));
+
+  tt_int_op(0, ==, ed25519_public_key_generate(&pub1, &sec1));
+  tt_int_op(0, ==, ed25519_public_key_generate(&pub2, &sec1));
+
+  tt_mem_op(pub1.pubkey, ==, pub2.pubkey, sizeof(pub1.pubkey));
+
+  memcpy(&kp1.pubkey, &pub1, sizeof(pub1));
+  memcpy(&kp1.seckey, &sec1, sizeof(sec1));
+  tt_int_op(0, ==, ed25519_sign(&sig1, msg, msg_len, &kp1));
+  tt_int_op(0, ==, ed25519_sign(&sig2, msg, msg_len, &kp1));
+
+  /* Ed25519 signatures are deterministic */
+  tt_mem_op(sig1.sig, ==, sig2.sig, sizeof(sig1.sig));
+
+  /* Basic signature is valid. */
+  tt_int_op(0, ==, ed25519_checksig(&sig1, msg, msg_len, &pub1));
+
+  /* Altered signature doesn't work. */
+  sig1.sig[0] ^= 3;
+  tt_int_op(-1, ==, ed25519_checksig(&sig1, msg, msg_len, &pub1));
+
+  /* Wrong public key doesn't work. */
+  tt_int_op(0, ==, ed25519_public_key_generate(&pub2, &sec2));
+  tt_int_op(-1, ==, ed25519_checksig(&sig2, msg, msg_len, &pub2));
+
+  /* Wrong message doesn't work. */
+  tt_int_op(0, ==, ed25519_checksig(&sig2, msg, msg_len, &pub1));
+  tt_int_op(-1, ==, ed25519_checksig(&sig2, msg, msg_len-1, &pub1));
+  tt_int_op(-1, ==, ed25519_checksig(&sig2, msg2, msg2_len, &pub1));
+
+  /* Batch signature checking works with some bad. */
+  tt_int_op(0, ==, ed25519_keypair_generate(&kp2, 0));
+  tt_int_op(0, ==, ed25519_sign(&sig1, msg, msg_len, &kp2));
+  {
+    ed25519_checkable_t ch[] = {
+      { &pub1, sig2, msg, msg_len }, /*ok*/
+      { &pub1, sig2, msg, msg_len-1 }, /*bad*/
+      { &kp2.pubkey, sig2, msg2, msg2_len }, /*bad*/
+      { &kp2.pubkey, sig1, msg, msg_len }, /*ok*/
+    };
+    int okay[4];
+    tt_int_op(-2, ==, ed25519_checksig_batch(okay, ch, 4));
+    tt_int_op(okay[0], ==, 1);
+    tt_int_op(okay[1], ==, 0);
+    tt_int_op(okay[2], ==, 0);
+    tt_int_op(okay[3], ==, 1);
+    tt_int_op(-2, ==, ed25519_checksig_batch(NULL, ch, 4));
+  }
+
+  /* Batch signature checking works with all good. */
+  {
+    ed25519_checkable_t ch[] = {
+      { &pub1, sig2, msg, msg_len }, /*ok*/
+      { &kp2.pubkey, sig1, msg, msg_len }, /*ok*/
+    };
+    int okay[2];
+    tt_int_op(0, ==, ed25519_checksig_batch(okay, ch, 2));
+    tt_int_op(okay[0], ==, 1);
+    tt_int_op(okay[1], ==, 1);
+    tt_int_op(0, ==, ed25519_checksig_batch(NULL, ch, 2));
+  }
+
+ done:
+  ;
+}
+
+static void
+test_crypto_ed25519_test_vectors(void *arg)
+{
+  char *mem_op_hex_tmp=NULL;
+  int i;
+  struct {
+    const char *sk;
+    const char *pk;
+    const char *sig;
+    const char *msg;
+  } items[] = {
+    /* These test vectors were generated with the "ref" implementation of
+     * ed25519 from SUPERCOP-20130419 */
+    { "4c6574277320686f706520746865726520617265206e6f206275677320696e20",
+      "f3e0e493b30f56e501aeb868fc912fe0c8b76621efca47a78f6d75875193dd87",
+      "b5d7fd6fd3adf643647ce1fe87a2931dedd1a4e38e6c662bedd35cdd80bfac51"
+        "1b2c7d1ee6bd929ac213014e1a8dc5373854c7b25dbe15ec96bf6c94196fae06",
+      "506c6561736520657863757365206d7920667269656e642e2048652069736e2774"
+      "204e554c2d7465726d696e617465642e"
+    },
+
+    { "74686520696d706c656d656e746174696f6e20776869636820617265206e6f74",
+      "407f0025a1e1351a4cb68e92f5c0ebaf66e7aaf93a4006a4d1a66e3ede1cfeac",
+      "02884fde1c3c5944d0ecf2d133726fc820c303aae695adceabf3a1e01e95bf28"
+        "da88c0966f5265e9c6f8edc77b3b96b5c91baec3ca993ccd21a3f64203600601",
+      "506c6561736520657863757365206d7920667269656e642e2048652069736e2774"
+      "204e554c2d7465726d696e617465642e"
+    },
+    { "6578706f73656420627920456e676c697368207465787420617320696e707574",
+      "61681cb5fbd69f9bc5a462a21a7ab319011237b940bc781cdc47fcbe327e7706",
+      "6a127d0414de7510125d4bc214994ffb9b8857a46330832d05d1355e882344ad"
+        "f4137e3ca1f13eb9cc75c887ef2309b98c57528b4acd9f6376c6898889603209",
+      "506c6561736520657863757365206d7920667269656e642e2048652069736e2774"
+      "204e554c2d7465726d696e617465642e"
+    },
+
+    /* These come from "sign.input" in ed25519's page */
+    { "5b5a619f8ce1c66d7ce26e5a2ae7b0c04febcd346d286c929e19d0d5973bfef9",
+      "6fe83693d011d111131c4f3fbaaa40a9d3d76b30012ff73bb0e39ec27ab18257",
+      "0f9ad9793033a2fa06614b277d37381e6d94f65ac2a5a94558d09ed6ce922258"
+        "c1a567952e863ac94297aec3c0d0c8ddf71084e504860bb6ba27449b55adc40e",
+      "5a8d9d0a22357e6655f9c785"
+    },
+    { "940c89fe40a81dafbdb2416d14ae469119869744410c3303bfaa0241dac57800",
+      "a2eb8c0501e30bae0cf842d2bde8dec7386f6b7fc3981b8c57c9792bb94cf2dd",
+      "d8bb64aad8c9955a115a793addd24f7f2b077648714f49c4694ec995b330d09d"
+        "640df310f447fd7b6cb5c14f9fe9f490bcf8cfadbfd2169c8ac20d3b8af49a0c",
+      "b87d3813e03f58cf19fd0b6395"
+    },
+    { "9acad959d216212d789a119252ebfe0c96512a23c73bd9f3b202292d6916a738",
+      "cf3af898467a5b7a52d33d53bc037e2642a8da996903fc252217e9c033e2f291",
+      "6ee3fe81e23c60eb2312b2006b3b25e6838e02106623f844c44edb8dafd66ab0"
+        "671087fd195df5b8f58a1d6e52af42908053d55c7321010092748795ef94cf06",
+      "55c7fa434f5ed8cdec2b7aeac173",
+    },
+    { "d5aeee41eeb0e9d1bf8337f939587ebe296161e6bf5209f591ec939e1440c300",
+      "fd2a565723163e29f53c9de3d5e8fbe36a7ab66e1439ec4eae9c0a604af291a5",
+      "f68d04847e5b249737899c014d31c805c5007a62c0a10d50bb1538c5f3550395"
+        "1fbc1e08682f2cc0c92efe8f4985dec61dcbd54d4b94a22547d24451271c8b00",
+      "0a688e79be24f866286d4646b5d81c"
+    },
+
+    { NULL, NULL, NULL, NULL}
+  };
+
+  (void)arg;
+
+  for (i = 0; items[i].pk; ++i) {
+    ed25519_keypair_t kp;
+    ed25519_signature_t sig;
+    uint8_t sk_seed[32];
+    uint8_t *msg;
+    size_t msg_len;
+    base16_decode((char*)sk_seed, sizeof(sk_seed),
+                  items[i].sk, 64);
+    ed25519_secret_key_from_seed(&kp.seckey, sk_seed);
+    tt_int_op(0, ==, ed25519_public_key_generate(&kp.pubkey, &kp.seckey));
+    test_memeq_hex(kp.pubkey.pubkey, items[i].pk);
+
+    msg_len = strlen(items[i].msg) / 2;
+    msg = tor_malloc(msg_len);
+    base16_decode((char*)msg, msg_len, items[i].msg, strlen(items[i].msg));
+
+    tt_int_op(0, ==, ed25519_sign(&sig, msg, msg_len, &kp));
+    test_memeq_hex(sig.sig, items[i].sig);
+
+    tor_free(msg);
+  }
+
+ done:
+  tor_free(mem_op_hex_tmp);
+}
+
 #endif
 
+static void
+test_crypto_ed25519_encode(void *arg)
+{
+  char buf[ED25519_BASE64_LEN+1];
+  ed25519_keypair_t kp;
+  ed25519_public_key_t pk;
+  char *mem_op_hex_tmp = NULL;
+  (void) arg;
+
+  /* Test roundtrip. */
+  tt_int_op(0, ==, ed25519_keypair_generate(&kp, 0));
+  tt_int_op(0, ==, ed25519_public_to_base64(buf, &kp.pubkey));
+  tt_int_op(ED25519_BASE64_LEN, ==, strlen(buf));
+  tt_int_op(0, ==, ed25519_public_from_base64(&pk, buf));
+  tt_mem_op(kp.pubkey.pubkey, ==, pk.pubkey, ED25519_PUBKEY_LEN);
+
+  /* Test known value. */
+  tt_int_op(0, ==, ed25519_public_from_base64(&pk,
+                             "lVIuIctLjbGZGU5wKMNXxXlSE3cW4kaqkqm04u6pxvM"));
+  test_memeq_hex(pk.pubkey,
+         "95522e21cb4b8db199194e7028c357c57952137716e246aa92a9b4e2eea9c6f3");
+
+ done:
+  tor_free(mem_op_hex_tmp);
+}
+
+static void
+test_crypto_ed25519_convert(void *arg)
+{
+  const uint8_t msg[] =
+    "The eyes are not here / There are no eyes here.";
+  const int N = 30;
+  int i;
+  (void)arg;
+
+  for (i = 0; i < N; ++i) {
+    curve25519_keypair_t curve25519_keypair;
+    ed25519_keypair_t ed25519_keypair;
+    ed25519_public_key_t ed25519_pubkey;
+
+    int bit=0;
+    ed25519_signature_t sig;
+
+    tt_int_op(0,==,curve25519_keypair_generate(&curve25519_keypair, i&1));
+    tt_int_op(0,==,ed25519_keypair_from_curve25519_keypair(
+                              &ed25519_keypair, &bit, &curve25519_keypair));
+    tt_int_op(0,==,ed25519_public_key_from_curve25519_public_key(
+                        &ed25519_pubkey, &curve25519_keypair.pubkey, bit));
+    tt_mem_op(ed25519_pubkey.pubkey, ==, ed25519_keypair.pubkey.pubkey, 32);
+
+    tt_int_op(0,==,ed25519_sign(&sig, msg, sizeof(msg), &ed25519_keypair));
+    tt_int_op(0,==,ed25519_checksig(&sig, msg, sizeof(msg),
+                                    &ed25519_pubkey));
+
+    tt_int_op(-1,==,ed25519_checksig(&sig, msg, sizeof(msg)-1,
+                                     &ed25519_pubkey));
+    sig.sig[0] ^= 15;
+    tt_int_op(-1,==,ed25519_checksig(&sig, msg, sizeof(msg),
+                                     &ed25519_pubkey));
+  }
+
+ done:
+  ;
+}
+
+static void
+test_crypto_ed25519_blinding(void *arg)
+{
+  const uint8_t msg[] =
+    "Eyes I dare not meet in dreams / In death's dream kingdom";
+
+  const int N = 30;
+  int i;
+  (void)arg;
+
+  for (i = 0; i < N; ++i) {
+    uint8_t blinding[32];
+    ed25519_keypair_t ed25519_keypair;
+    ed25519_keypair_t ed25519_keypair_blinded;
+    ed25519_public_key_t ed25519_pubkey_blinded;
+
+    ed25519_signature_t sig;
+
+    crypto_rand((char*) blinding, sizeof(blinding));
+
+    tt_int_op(0,==,ed25519_keypair_generate(&ed25519_keypair, 0));
+    tt_int_op(0,==,ed25519_keypair_blind(&ed25519_keypair_blinded,
+                                         &ed25519_keypair, blinding));
+
+    tt_int_op(0,==,ed25519_public_blind(&ed25519_pubkey_blinded,
+                                        &ed25519_keypair.pubkey, blinding));
+
+    tt_mem_op(ed25519_pubkey_blinded.pubkey, ==,
+              ed25519_keypair_blinded.pubkey.pubkey, 32);
+
+    tt_int_op(0,==,ed25519_sign(&sig, msg, sizeof(msg),
+                                &ed25519_keypair_blinded));
+
+    tt_int_op(0,==,ed25519_checksig(&sig, msg, sizeof(msg),
+                                    &ed25519_pubkey_blinded));
+
+    tt_int_op(-1,==,ed25519_checksig(&sig, msg, sizeof(msg)-1,
+                                     &ed25519_pubkey_blinded));
+    sig.sig[0] ^= 15;
+    tt_int_op(-1,==,ed25519_checksig(&sig, msg, sizeof(msg),
+                                     &ed25519_pubkey_blinded));
+  }
+
+ done:
+  ;
+}
+
+static void
+test_crypto_ed25519_testvectors(void *arg)
+{
+  unsigned i;
+  char *mem_op_hex_tmp = NULL;
+  (void)arg;
+
+  for (i = 0; i < ARRAY_LENGTH(ED25519_SECRET_KEYS); ++i) {
+    uint8_t sk[32];
+    ed25519_secret_key_t esk;
+    ed25519_public_key_t pk, blind_pk, pkfromcurve;
+    ed25519_keypair_t keypair, blind_keypair;
+    curve25519_keypair_t curvekp;
+    uint8_t blinding_param[32];
+    ed25519_signature_t sig;
+    int sign;
+
+#define DECODE(p,s) base16_decode((char*)(p),sizeof(p),(s),strlen(s))
+#define EQ(a,h) test_memeq_hex((const char*)(a), (h))
+
+    tt_int_op(0, ==, DECODE(sk, ED25519_SECRET_KEYS[i]));
+    tt_int_op(0, ==, DECODE(blinding_param, ED25519_BLINDING_PARAMS[i]));
+
+    tt_int_op(0, ==, ed25519_secret_key_from_seed(&esk, sk));
+    EQ(esk.seckey, ED25519_EXPANDED_SECRET_KEYS[i]);
+
+    tt_int_op(0, ==, ed25519_public_key_generate(&pk, &esk));
+    EQ(pk.pubkey, ED25519_PUBLIC_KEYS[i]);
+
+    memcpy(&curvekp.seckey.secret_key, esk.seckey, 32);
+    curve25519_public_key_generate(&curvekp.pubkey, &curvekp.seckey);
+
+    tt_int_op(0, ==,
+          ed25519_keypair_from_curve25519_keypair(&keypair, &sign, &curvekp));
+    tt_int_op(0, ==, ed25519_public_key_from_curve25519_public_key(
+                                        &pkfromcurve, &curvekp.pubkey, sign));
+    tt_mem_op(keypair.pubkey.pubkey, ==, pkfromcurve.pubkey, 32);
+    EQ(curvekp.pubkey.public_key, ED25519_CURVE25519_PUBLIC_KEYS[i]);
+
+    /* Self-signing */
+    memcpy(&keypair.seckey, &esk, sizeof(esk));
+    memcpy(&keypair.pubkey, &pk, sizeof(pk));
+
+    tt_int_op(0, ==, ed25519_sign(&sig, pk.pubkey, 32, &keypair));
+
+    EQ(sig.sig, ED25519_SELF_SIGNATURES[i]);
+
+    /* Blinding */
+    tt_int_op(0, ==,
+            ed25519_keypair_blind(&blind_keypair, &keypair, blinding_param));
+    tt_int_op(0, ==,
+            ed25519_public_blind(&blind_pk, &pk, blinding_param));
+
+    EQ(blind_keypair.seckey.seckey, ED25519_BLINDED_SECRET_KEYS[i]);
+    EQ(blind_pk.pubkey, ED25519_BLINDED_PUBLIC_KEYS[i]);
+
+    tt_mem_op(blind_pk.pubkey, ==, blind_keypair.pubkey.pubkey, 32);
+
+#undef DECODE
+#undef EQ
+  }
+ done:
+  tor_free(mem_op_hex_tmp);
+}
+
 static void
 test_crypto_siphash(void *arg)
 {
@@ -1671,6 +2029,12 @@ struct testcase_t crypto_tests[] = {
   { "curve25519_wrappers", test_crypto_curve25519_wrappers, 0, NULL, NULL },
   { "curve25519_encode", test_crypto_curve25519_encode, 0, NULL, NULL },
   { "curve25519_persist", test_crypto_curve25519_persist, 0, NULL, NULL },
+  { "ed25519_simple", test_crypto_ed25519_simple, 0, NULL, NULL },
+  { "ed25519_test_vectors", test_crypto_ed25519_test_vectors, 0, NULL, NULL },
+  { "ed25519_encode", test_crypto_ed25519_encode, 0, NULL, NULL },
+  { "ed25519_convert", test_crypto_ed25519_convert, 0, NULL, NULL },
+  { "ed25519_blinding", test_crypto_ed25519_blinding, 0, NULL, NULL },
+  { "ed25519_testvectors", test_crypto_ed25519_testvectors, 0, NULL, NULL },
 #endif
   { "siphash", test_crypto_siphash, 0, NULL, NULL },
   END_OF_TESTCASES