diff --git a/crypto/curve25519/curve25519.c b/crypto/curve25519/curve25519.c
index e49a8b3..1496134 100644
--- a/crypto/curve25519/curve25519.c
+++ b/crypto/curve25519/curve25519.c
@@ -21,6 +21,7 @@
 
 #include <openssl/curve25519.h>
 
+#include <assert.h>
 #include <string.h>
 
 #include <openssl/cpu.h>
@@ -54,7 +55,21 @@
   return result;
 }
 
-static void fe_frombytes(fe h, const uint8_t *s) {
+#define assert_fe(f) do { \
+  for (unsigned _assert_fe_i = 0; _assert_fe_i< 10; _assert_fe_i++) { \
+    assert(-1.1*(1<<(25-(_assert_fe_i&1))) < f[_assert_fe_i]); \
+    assert(f[_assert_fe_i] < 1.1*(1<<(25-(_assert_fe_i&1)))); \
+  } \
+} while (0)
+
+#define assert_fe_loose(f) do { \
+  for (unsigned _assert_fe_i = 0; _assert_fe_i< 10; _assert_fe_i++) { \
+    assert(-1.1*(1<<(26-(_assert_fe_i&1))) < f[_assert_fe_i]); \
+    assert(f[_assert_fe_i] < 1.1*(1<<(26-(_assert_fe_i&1)))); \
+  } \
+} while (0)
+
+static void fe_frombytes_impl(int32_t h[10], const uint8_t *s) {
   // Ignores top bit of h.
   int64_t h0 = load_4(s);
   int64_t h1 = load_3(s + 4) << 6;
@@ -99,6 +114,11 @@
   h[7] = h7;
   h[8] = h8;
   h[9] = h9;
+  assert_fe(h);
+}
+
+static void fe_frombytes(fe *h, const uint8_t *s) {
+  fe_frombytes_impl(h->v, s);
 }
 
 // Preconditions:
@@ -123,7 +143,8 @@
 //
 //   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.
-static void fe_tobytes(uint8_t *s, const fe h) {
+static void fe_tobytes_impl(uint8_t *s, const int32_t h[10]) {
+  assert_fe_loose(h);
   int32_t h0 = h[0];
   int32_t h1 = h[1];
   int32_t h2 = h[2];
@@ -203,18 +224,46 @@
   s[31] = h9 >> 18;
 }
 
+static void fe_tobytes(uint8_t *s, const fe *h) {
+  fe_tobytes_impl(s, h->v);
+}
+
+static void fe_loose_tobytes(uint8_t *s, const fe_loose *h) {
+  fe_tobytes_impl(s, h->v);
+}
+
 // h = f
-static void fe_copy(fe h, const fe f) {
+static void fe_copy(fe *h, const fe *f) {
   OPENSSL_memmove(h, f, sizeof(int32_t) * 10);
 }
 
+static void fe_copy_lt(fe_loose *h, const fe *f) {
+  OPENSSL_memmove(h, f, sizeof(int32_t) * 10);
+}
+#if !defined(OPENSSL_SMALL)
+static void fe_copy_ll(fe_loose *h, const fe_loose *f) {
+  OPENSSL_memmove(h, f, sizeof(int32_t) * 10);
+}
+#endif // !defined(OPENSSL_SMALL)
+
 // h = 0
-static void fe_0(fe h) { OPENSSL_memset(h, 0, sizeof(int32_t) * 10); }
+static void fe_0(fe *h) {
+  OPENSSL_memset(h, 0, sizeof(int32_t) * 10);
+}
+
+static void fe_loose_0(fe_loose *h) {
+  OPENSSL_memset(h, 0, sizeof(int32_t) * 10);
+}
 
 // h = 1
-static void fe_1(fe h) {
+static void fe_1(fe *h) {
   OPENSSL_memset(h, 0, sizeof(int32_t) * 10);
-  h[0] = 1;
+  h->v[0] = 1;
+}
+
+static void fe_loose_1(fe_loose *h) {
+  OPENSSL_memset(h, 0, sizeof(int32_t) * 10);
+  h->v[0] = 1;
 }
 
 // h = f + g
@@ -226,11 +275,14 @@
 //
 // Postconditions:
 //    |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
-static void fe_add(fe h, const fe f, const fe g) {
+static void fe_add(fe_loose *h, const fe *f, const fe *g) {
+  assert_fe(f->v);
+  assert_fe(g->v);
   unsigned i;
   for (i = 0; i < 10; i++) {
-    h[i] = f[i] + g[i];
+    h->v[i] = f->v[i] + g->v[i];
   }
+  assert_fe_loose(h->v);
 }
 
 // h = f - g
@@ -242,11 +294,62 @@
 //
 // Postconditions:
 //    |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
-static void fe_sub(fe h, const fe f, const fe g) {
+static void fe_sub(fe_loose *h, const fe *f, const fe *g) {
+  assert_fe(f->v);
+  assert_fe(g->v);
   unsigned i;
   for (i = 0; i < 10; i++) {
-    h[i] = f[i] - g[i];
+    h->v[i] = f->v[i] - g->v[i];
   }
+  assert_fe_loose(h->v);
+}
+
+static void fe_carry(fe *h, const fe_loose* f) {
+  assert_fe_loose(f->v);
+  int32_t h0 = f->v[0];
+  int32_t h1 = f->v[1];
+  int32_t h2 = f->v[2];
+  int32_t h3 = f->v[3];
+  int32_t h4 = f->v[4];
+  int32_t h5 = f->v[5];
+  int32_t h6 = f->v[6];
+  int32_t h7 = f->v[7];
+  int32_t h8 = f->v[8];
+  int32_t h9 = f->v[9];
+  int64_t carry0;
+  int64_t carry1;
+  int64_t carry2;
+  int64_t carry3;
+  int64_t carry4;
+  int64_t carry5;
+  int64_t carry6;
+  int64_t carry7;
+  int64_t carry8;
+  int64_t carry9;
+
+  carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits;
+  carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits;
+  carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits;
+  carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits;
+  carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits;
+
+  carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits;
+  carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits;
+  carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits;
+  carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits;
+  carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits;
+
+  h->v[0] = h0;
+  h->v[1] = h1;
+  h->v[2] = h2;
+  h->v[3] = h3;
+  h->v[4] = h4;
+  h->v[5] = h5;
+  h->v[6] = h6;
+  h->v[7] = h7;
+  h->v[8] = h8;
+  h->v[9] = h9;
+  assert_fe(h->v);
 }
 
 // h = f * g
@@ -276,7 +379,9 @@
 // Can get away with 11 carries, but then data flow is much deeper.
 //
 // With tighter constraints on inputs can squeeze carries into int32.
-static void fe_mul(fe h, const fe f, const fe g) {
+static void fe_mul_impl(int32_t h[10], const int32_t f[10], const int32_t g[10]) {
+  assert_fe_loose(f);
+  assert_fe_loose(g);
   int32_t f0 = f[0];
   int32_t f1 = f[1];
   int32_t f2 = f[2];
@@ -490,6 +595,31 @@
   h[7] = h7;
   h[8] = h8;
   h[9] = h9;
+  assert_fe(h);
+}
+
+static void fe_mul_ltt(fe_loose *h, const fe *f, const fe *g) {
+  fe_mul_impl(h->v, f->v, g->v);
+}
+
+static void fe_mul_llt(fe_loose *h, const fe_loose *f, const fe *g) {
+  fe_mul_impl(h->v, f->v, g->v);
+}
+
+static void fe_mul_ttt(fe *h, const fe *f, const fe *g) {
+  fe_mul_impl(h->v, f->v, g->v);
+}
+
+static void fe_mul_tlt(fe *h, const fe_loose *f, const fe *g) {
+  fe_mul_impl(h->v, f->v, g->v);
+}
+
+static void fe_mul_ttl(fe *h, const fe *f, const fe_loose *g) {
+  fe_mul_impl(h->v, f->v, g->v);
+}
+
+static void fe_mul_tll(fe *h, const fe_loose *f, const fe_loose *g) {
+  fe_mul_impl(h->v, f->v, g->v);
 }
 
 // h = f * f
@@ -502,7 +632,8 @@
 //    |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.
-static void fe_sq(fe h, const fe f) {
+static void fe_sq_impl(int32_t h[10], const int32_t f[10]) {
+  assert_fe_loose(f);
   int32_t f0 = f[0];
   int32_t f1 = f[1];
   int32_t f2 = f[2];
@@ -631,64 +762,79 @@
   h[7] = h7;
   h[8] = h8;
   h[9] = h9;
+  assert_fe(h);
 }
 
-static void fe_invert(fe out, const fe z) {
+static void fe_sq_tl(fe *h, const fe_loose *f) {
+  fe_sq_impl(h->v, f->v);
+}
+
+static void fe_sq_tt(fe *h, const fe *f) {
+  fe_sq_impl(h->v, f->v);
+}
+
+static void fe_loose_invert(fe *out, const fe_loose *z) {
   fe t0;
   fe t1;
   fe t2;
   fe t3;
   int i;
 
-  fe_sq(t0, z);
-  fe_sq(t1, t0);
+  fe_sq_tl(&t0, z);
+  fe_sq_tt(&t1, &t0);
   for (i = 1; i < 2; ++i) {
-    fe_sq(t1, t1);
+    fe_sq_tt(&t1, &t1);
   }
-  fe_mul(t1, z, t1);
-  fe_mul(t0, t0, t1);
-  fe_sq(t2, t0);
-  fe_mul(t1, t1, t2);
-  fe_sq(t2, t1);
+  fe_mul_tlt(&t1, z, &t1);
+  fe_mul_ttt(&t0, &t0, &t1);
+  fe_sq_tt(&t2, &t0);
+  fe_mul_ttt(&t1, &t1, &t2);
+  fe_sq_tt(&t2, &t1);
   for (i = 1; i < 5; ++i) {
-    fe_sq(t2, t2);
+    fe_sq_tt(&t2, &t2);
   }
-  fe_mul(t1, t2, t1);
-  fe_sq(t2, t1);
+  fe_mul_ttt(&t1, &t2, &t1);
+  fe_sq_tt(&t2, &t1);
   for (i = 1; i < 10; ++i) {
-    fe_sq(t2, t2);
+    fe_sq_tt(&t2, &t2);
   }
-  fe_mul(t2, t2, t1);
-  fe_sq(t3, t2);
+  fe_mul_ttt(&t2, &t2, &t1);
+  fe_sq_tt(&t3, &t2);
   for (i = 1; i < 20; ++i) {
-    fe_sq(t3, t3);
+    fe_sq_tt(&t3, &t3);
   }
-  fe_mul(t2, t3, t2);
-  fe_sq(t2, t2);
+  fe_mul_ttt(&t2, &t3, &t2);
+  fe_sq_tt(&t2, &t2);
   for (i = 1; i < 10; ++i) {
-    fe_sq(t2, t2);
+    fe_sq_tt(&t2, &t2);
   }
-  fe_mul(t1, t2, t1);
-  fe_sq(t2, t1);
+  fe_mul_ttt(&t1, &t2, &t1);
+  fe_sq_tt(&t2, &t1);
   for (i = 1; i < 50; ++i) {
-    fe_sq(t2, t2);
+    fe_sq_tt(&t2, &t2);
   }
-  fe_mul(t2, t2, t1);
-  fe_sq(t3, t2);
+  fe_mul_ttt(&t2, &t2, &t1);
+  fe_sq_tt(&t3, &t2);
   for (i = 1; i < 100; ++i) {
-    fe_sq(t3, t3);
+    fe_sq_tt(&t3, &t3);
   }
-  fe_mul(t2, t3, t2);
-  fe_sq(t2, t2);
+  fe_mul_ttt(&t2, &t3, &t2);
+  fe_sq_tt(&t2, &t2);
   for (i = 1; i < 50; ++i) {
-    fe_sq(t2, t2);
+    fe_sq_tt(&t2, &t2);
   }
-  fe_mul(t1, t2, t1);
-  fe_sq(t1, t1);
+  fe_mul_ttt(&t1, &t2, &t1);
+  fe_sq_tt(&t1, &t1);
   for (i = 1; i < 5; ++i) {
-    fe_sq(t1, t1);
+    fe_sq_tt(&t1, &t1);
   }
-  fe_mul(out, t1, t0);
+  fe_mul_ttt(out, &t1, &t0);
+}
+
+static void fe_invert(fe *out, const fe *z) {
+  fe_loose l;
+  fe_copy_lt(&l, z);
+  fe_loose_invert(out, &l);
 }
 
 // h = -f
@@ -698,24 +844,26 @@
 //
 // Postconditions:
 //    |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
-static void fe_neg(fe h, const fe f) {
+static void fe_neg(fe_loose *h, const fe *f) {
+  assert_fe(f->v);
   unsigned i;
   for (i = 0; i < 10; i++) {
-    h[i] = -f[i];
+    h->v[i] = -f->v[i];
   }
+  assert_fe_loose(h->v);
 }
 
 // Replace (f,g) with (g,g) if b == 1;
 // replace (f,g) with (f,g) if b == 0.
 //
 // Preconditions: b in {0,1}.
-static void fe_cmov(fe f, const fe g, unsigned b) {
+static void fe_cmov(fe_loose *f, const fe_loose *g, unsigned b) {
   b = 0-b;
   unsigned i;
   for (i = 0; i < 10; i++) {
-    int32_t x = f[i] ^ g[i];
+    int32_t x = f->v[i] ^ g->v[i];
     x &= b;
-    f[i] ^= x;
+    f->v[i] ^= x;
   }
 }
 
@@ -724,9 +872,9 @@
 //
 // Preconditions:
 //    |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
-static int fe_isnonzero(const fe f) {
+static int fe_isnonzero(const fe_loose *f) {
   uint8_t s[32];
-  fe_tobytes(s, f);
+  fe_loose_tobytes(s, f);
 
   static const uint8_t zero[32] = {0};
   return CRYPTO_memcmp(s, zero, sizeof(zero)) != 0;
@@ -737,7 +885,7 @@
 //
 // Preconditions:
 //    |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
-static int fe_isnegative(const fe f) {
+static int fe_isnegative(const fe *f) {
   uint8_t s[32];
   fe_tobytes(s, f);
   return s[0] & 1;
@@ -747,13 +895,14 @@
 // 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.
+//    |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
 //
 // Postconditions:
-//    |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
+//    |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
 //
 // See fe_mul.c for discussion of implementation strategy.
-static void fe_sq2(fe h, const fe f) {
+static void fe_sq2_impl(int32_t h[10], const int32_t f[10]) {
+  assert_fe_loose(f);
   int32_t f0 = f[0];
   int32_t f1 = f[1];
   int32_t f2 = f[2];
@@ -893,63 +1042,68 @@
   h[7] = h7;
   h[8] = h8;
   h[9] = h9;
+  assert_fe(h);
 }
 
-static void fe_pow22523(fe out, const fe z) {
+static void fe_sq2_tt(fe *h, const fe *f) {
+  fe_sq2_impl(h->v, f->v);
+}
+
+static void fe_pow22523(fe *out, const fe *z) {
   fe t0;
   fe t1;
   fe t2;
   int i;
 
-  fe_sq(t0, z);
-  fe_sq(t1, t0);
+  fe_sq_tt(&t0, z);
+  fe_sq_tt(&t1, &t0);
   for (i = 1; i < 2; ++i) {
-    fe_sq(t1, t1);
+    fe_sq_tt(&t1, &t1);
   }
-  fe_mul(t1, z, t1);
-  fe_mul(t0, t0, t1);
-  fe_sq(t0, t0);
-  fe_mul(t0, t1, t0);
-  fe_sq(t1, t0);
+  fe_mul_ttt(&t1, z, &t1);
+  fe_mul_ttt(&t0, &t0, &t1);
+  fe_sq_tt(&t0, &t0);
+  fe_mul_ttt(&t0, &t1, &t0);
+  fe_sq_tt(&t1, &t0);
   for (i = 1; i < 5; ++i) {
-    fe_sq(t1, t1);
+    fe_sq_tt(&t1, &t1);
   }
-  fe_mul(t0, t1, t0);
-  fe_sq(t1, t0);
+  fe_mul_ttt(&t0, &t1, &t0);
+  fe_sq_tt(&t1, &t0);
   for (i = 1; i < 10; ++i) {
-    fe_sq(t1, t1);
+    fe_sq_tt(&t1, &t1);
   }
-  fe_mul(t1, t1, t0);
-  fe_sq(t2, t1);
+  fe_mul_ttt(&t1, &t1, &t0);
+  fe_sq_tt(&t2, &t1);
   for (i = 1; i < 20; ++i) {
-    fe_sq(t2, t2);
+    fe_sq_tt(&t2, &t2);
   }
-  fe_mul(t1, t2, t1);
-  fe_sq(t1, t1);
+  fe_mul_ttt(&t1, &t2, &t1);
+  fe_sq_tt(&t1, &t1);
   for (i = 1; i < 10; ++i) {
-    fe_sq(t1, t1);
+    fe_sq_tt(&t1, &t1);
   }
-  fe_mul(t0, t1, t0);
-  fe_sq(t1, t0);
+  fe_mul_ttt(&t0, &t1, &t0);
+  fe_sq_tt(&t1, &t0);
   for (i = 1; i < 50; ++i) {
-    fe_sq(t1, t1);
+    fe_sq_tt(&t1, &t1);
   }
-  fe_mul(t1, t1, t0);
-  fe_sq(t2, t1);
+  fe_mul_ttt(&t1, &t1, &t0);
+  fe_sq_tt(&t2, &t1);
   for (i = 1; i < 100; ++i) {
-    fe_sq(t2, t2);
+    fe_sq_tt(&t2, &t2);
   }
-  fe_mul(t1, t2, t1);
-  fe_sq(t1, t1);
+  fe_mul_ttt(&t1, &t2, &t1);
+  fe_sq_tt(&t1, &t1);
   for (i = 1; i < 50; ++i) {
-    fe_sq(t1, t1);
+    fe_sq_tt(&t1, &t1);
   }
-  fe_mul(t0, t1, t0);
-  fe_sq(t0, t0);
+  fe_mul_ttt(&t0, &t1, &t0);
+  fe_sq_tt(&t0, &t0);
   for (i = 1; i < 2; ++i) {
-    fe_sq(t0, t0);
+    fe_sq_tt(&t0, &t0);
   }
-  fe_mul(out, t0, z);
+  fe_mul_ttt(out, &t0, z);
 }
 
 void x25519_ge_tobytes(uint8_t *s, const ge_p2 *h) {
@@ -957,11 +1111,11 @@
   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;
+  fe_invert(&recip, &h->Z);
+  fe_mul_ttt(&x, &h->X, &recip);
+  fe_mul_ttt(&y, &h->Y, &recip);
+  fe_tobytes(s, &y);
+  s[31] ^= fe_isnegative(&x) << 7;
 }
 
 static void ge_p3_tobytes(uint8_t *s, const ge_p3 *h) {
@@ -969,119 +1123,122 @@
   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;
+  fe_invert(&recip, &h->Z);
+  fe_mul_ttt(&x, &h->X, &recip);
+  fe_mul_ttt(&y, &h->Y, &recip);
+  fe_tobytes(s, &y);
+  s[31] ^= fe_isnegative(&x) << 7;
 }
 
-static const fe d = {-10913610, 13857413, -15372611, 6949391,   114729,
-                     -8787816,  -6275908, -3247719,  -18696448, -12055116};
+static const fe d = {{-10913610, 13857413, -15372611, 6949391,   114729,
+                     -8787816,  -6275908, -3247719,  -18696448, -12055116}};
 
-static const fe sqrtm1 = {-32595792, -7943725,  9377950,  3500415, 12389472,
-                          -272473,   -25146209, -2005654, 326686,  11406482};
+static const fe sqrtm1 = {{-32595792, -7943725,  9377950,  3500415, 12389472,
+                          -272473,   -25146209, -2005654, 326686,  11406482}};
 
 int x25519_ge_frombytes_vartime(ge_p3 *h, const uint8_t *s) {
   fe u;
-  fe v;
+  fe_loose v;
   fe v3;
   fe vxx;
-  fe check;
+  fe_loose 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_frombytes(&h->Y, s);
+  fe_1(&h->Z);
+  fe_sq_tt(&v3, &h->Y);
+  fe_mul_ttt(&vxx, &v3, &d);
+  fe_sub(&v, &v3, &h->Z);  // u = y^2-1
+  fe_carry(&u, &v);
+  fe_add(&v, &vxx, &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_sq_tl(&v3, &v);
+  fe_mul_ttl(&v3, &v3, &v);  // v3 = v^3
+  fe_sq_tt(&h->X, &v3);
+  fe_mul_ttl(&h->X, &h->X, &v);
+  fe_mul_ttt(&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_pow22523(&h->X, &h->X);  // x = (uv^7)^((q-5)/8)
+  fe_mul_ttt(&h->X, &h->X, &v3);
+  fe_mul_ttt(&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)) {
+  fe_sq_tt(&vxx, &h->X);
+  fe_mul_ttl(&vxx, &vxx, &v);
+  fe_sub(&check, &vxx, &u);
+  if (fe_isnonzero(&check)) {
+    fe_add(&check, &vxx, &u);
+    if (fe_isnonzero(&check)) {
       return -1;
     }
-    fe_mul(h->X, h->X, sqrtm1);
+    fe_mul_ttt(&h->X, &h->X, &sqrtm1);
   }
 
-  if (fe_isnegative(h->X) != (s[31] >> 7)) {
-    fe_neg(h->X, h->X);
+  if (fe_isnegative(&h->X) != (s[31] >> 7)) {
+    fe_loose t;
+    fe_neg(&t, &h->X);
+    fe_carry(&h->X, &t);
   }
 
-  fe_mul(h->T, h->X, h->Y);
+  fe_mul_ttt(&h->T, &h->X, &h->Y);
   return 0;
 }
 
 static void ge_p2_0(ge_p2 *h) {
-  fe_0(h->X);
-  fe_1(h->Y);
-  fe_1(h->Z);
+  fe_0(&h->X);
+  fe_1(&h->Y);
+  fe_1(&h->Z);
 }
 
 static void ge_p3_0(ge_p3 *h) {
-  fe_0(h->X);
-  fe_1(h->Y);
-  fe_1(h->Z);
-  fe_0(h->T);
+  fe_0(&h->X);
+  fe_1(&h->Y);
+  fe_1(&h->Z);
+  fe_0(&h->T);
 }
 
 static void ge_cached_0(ge_cached *h) {
-  fe_1(h->YplusX);
-  fe_1(h->YminusX);
-  fe_1(h->Z);
-  fe_0(h->T2d);
+  fe_loose_1(&h->YplusX);
+  fe_loose_1(&h->YminusX);
+  fe_loose_1(&h->Z);
+  fe_loose_0(&h->T2d);
 }
 
 static void ge_precomp_0(ge_precomp *h) {
-  fe_1(h->yplusx);
-  fe_1(h->yminusx);
-  fe_0(h->xy2d);
+  fe_loose_1(&h->yplusx);
+  fe_loose_1(&h->yminusx);
+  fe_loose_0(&h->xy2d);
 }
 
 // r = p
 static 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);
+  fe_copy(&r->X, &p->X);
+  fe_copy(&r->Y, &p->Y);
+  fe_copy(&r->Z, &p->Z);
 }
 
-static const fe d2 = {-21827239, -5839606,  -30745221, 13898782, 229458,
-                      15978800,  -12551817, -6495438,  29715968, 9444199};
+static const fe d2 = {{-21827239, -5839606,  -30745221, 13898782, 229458,
+                      15978800,  -12551817, -6495438,  29715968, 9444199}};
 
 // r = p
 void x25519_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);
+  fe_add(&r->YplusX, &p->Y, &p->X);
+  fe_sub(&r->YminusX, &p->Y, &p->X);
+  fe_copy_lt(&r->Z, &p->Z);
+  fe_mul_ltt(&r->T2d, &p->T, &d2);
 }
 
 // r = p
 void x25519_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);
+  fe_mul_tll(&r->X, &p->X, &p->T);
+  fe_mul_tll(&r->Y, &p->Y, &p->Z);
+  fe_mul_tll(&r->Z, &p->Z, &p->T);
 }
 
 // r = p
 void x25519_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);
+  fe_mul_tll(&r->X, &p->X, &p->T);
+  fe_mul_tll(&r->Y, &p->Y, &p->Z);
+  fe_mul_tll(&r->Z, &p->Z, &p->T);
+  fe_mul_tll(&r->T, &p->X, &p->Y);
 }
 
 // r = p
@@ -1093,17 +1250,21 @@
 
 // r = 2 * p
 static void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p) {
+  fe trX, trZ, trT;
   fe t0;
 
-  fe_sq(r->X, p->X);
-  fe_sq(r->Z, p->Y);
-  fe_sq2(r->T, p->Z);
-  fe_add(r->Y, p->X, p->Y);
-  fe_sq(t0, r->Y);
-  fe_add(r->Y, r->Z, r->X);
-  fe_sub(r->Z, r->Z, r->X);
-  fe_sub(r->X, t0, r->Y);
-  fe_sub(r->T, r->T, r->Z);
+  fe_sq_tt(&trX, &p->X);
+  fe_sq_tt(&trZ, &p->Y);
+  fe_sq2_tt(&trT, &p->Z);
+  fe_add(&r->Y, &p->X, &p->Y);
+  fe_sq_tl(&t0, &r->Y);
+
+  fe_add(&r->Y, &trZ, &trX);
+  fe_sub(&r->Z, &trZ, &trX);
+  fe_carry(&trZ, &r->Y);
+  fe_sub(&r->X, &t0, &trZ);
+  fe_carry(&trZ, &r->Z);
+  fe_sub(&r->T, &trT, &trZ);
 }
 
 // r = 2 * p
@@ -1115,68 +1276,72 @@
 
 // r = p + q
 static void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) {
-  fe t0;
+  fe trY, trZ, trT;
 
-  fe_add(r->X, p->Y, p->X);
-  fe_sub(r->Y, p->Y, p->X);
-  fe_mul(r->Z, r->X, q->yplusx);
-  fe_mul(r->Y, r->Y, q->yminusx);
-  fe_mul(r->T, q->xy2d, p->T);
-  fe_add(t0, p->Z, p->Z);
-  fe_sub(r->X, r->Z, r->Y);
-  fe_add(r->Y, r->Z, r->Y);
-  fe_add(r->Z, t0, r->T);
-  fe_sub(r->T, t0, r->T);
+  fe_add(&r->X, &p->Y, &p->X);
+  fe_sub(&r->Y, &p->Y, &p->X);
+  fe_mul_tll(&trZ, &r->X, &q->yplusx);
+  fe_mul_tll(&trY, &r->Y, &q->yminusx);
+  fe_mul_tlt(&trT, &q->xy2d, &p->T);
+  fe_add(&r->T, &p->Z, &p->Z);
+  fe_sub(&r->X, &trZ, &trY);
+  fe_add(&r->Y, &trZ, &trY);
+  fe_carry(&trZ, &r->T);
+  fe_add(&r->Z, &trZ, &trT);
+  fe_sub(&r->T, &trZ, &trT);
 }
 
 // r = p - q
 static void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) {
-  fe t0;
+  fe trY, trZ, trT;
 
-  fe_add(r->X, p->Y, p->X);
-  fe_sub(r->Y, p->Y, p->X);
-  fe_mul(r->Z, r->X, q->yminusx);
-  fe_mul(r->Y, r->Y, q->yplusx);
-  fe_mul(r->T, q->xy2d, p->T);
-  fe_add(t0, p->Z, p->Z);
-  fe_sub(r->X, r->Z, r->Y);
-  fe_add(r->Y, r->Z, r->Y);
-  fe_sub(r->Z, t0, r->T);
-  fe_add(r->T, t0, r->T);
+  fe_add(&r->X, &p->Y, &p->X);
+  fe_sub(&r->Y, &p->Y, &p->X);
+  fe_mul_tll(&trZ, &r->X, &q->yminusx);
+  fe_mul_tll(&trY, &r->Y, &q->yplusx);
+  fe_mul_tlt(&trT, &q->xy2d, &p->T);
+  fe_add(&r->T, &p->Z, &p->Z);
+  fe_sub(&r->X, &trZ, &trY);
+  fe_add(&r->Y, &trZ, &trY);
+  fe_carry(&trZ, &r->T);
+  fe_sub(&r->Z, &trZ, &trT);
+  fe_add(&r->T, &trZ, &trT);
 }
 
 // r = p + q
 void x25519_ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) {
-  fe t0;
+  fe trX, trY, trZ, trT;
 
-  fe_add(r->X, p->Y, p->X);
-  fe_sub(r->Y, p->Y, p->X);
-  fe_mul(r->Z, r->X, q->YplusX);
-  fe_mul(r->Y, r->Y, q->YminusX);
-  fe_mul(r->T, q->T2d, p->T);
-  fe_mul(r->X, p->Z, q->Z);
-  fe_add(t0, r->X, r->X);
-  fe_sub(r->X, r->Z, r->Y);
-  fe_add(r->Y, r->Z, r->Y);
-  fe_add(r->Z, t0, r->T);
-  fe_sub(r->T, t0, r->T);
+  fe_add(&r->X, &p->Y, &p->X);
+  fe_sub(&r->Y, &p->Y, &p->X);
+  fe_mul_tll(&trZ, &r->X, &q->YplusX);
+  fe_mul_tll(&trY, &r->Y, &q->YminusX);
+  fe_mul_tlt(&trT, &q->T2d, &p->T);
+  fe_mul_ttl(&trX, &p->Z, &q->Z);
+  fe_add(&r->T, &trX, &trX);
+  fe_sub(&r->X, &trZ, &trY);
+  fe_add(&r->Y, &trZ, &trY);
+  fe_carry(&trZ, &r->T);
+  fe_add(&r->Z, &trZ, &trT);
+  fe_sub(&r->T, &trZ, &trT);
 }
 
 // r = p - q
 void x25519_ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) {
-  fe t0;
+  fe trX, trY, trZ, trT;
 
-  fe_add(r->X, p->Y, p->X);
-  fe_sub(r->Y, p->Y, p->X);
-  fe_mul(r->Z, r->X, q->YminusX);
-  fe_mul(r->Y, r->Y, q->YplusX);
-  fe_mul(r->T, q->T2d, p->T);
-  fe_mul(r->X, p->Z, q->Z);
-  fe_add(t0, r->X, r->X);
-  fe_sub(r->X, r->Z, r->Y);
-  fe_add(r->Y, r->Z, r->Y);
-  fe_sub(r->Z, t0, r->T);
-  fe_add(r->T, t0, r->T);
+  fe_add(&r->X, &p->Y, &p->X);
+  fe_sub(&r->Y, &p->Y, &p->X);
+  fe_mul_tll(&trZ, &r->X, &q->YminusX);
+  fe_mul_tll(&trY, &r->Y, &q->YplusX);
+  fe_mul_tlt(&trT, &q->T2d, &p->T);
+  fe_mul_ttl(&trX, &p->Z, &q->Z);
+  fe_add(&r->T, &trX, &trX);
+  fe_sub(&r->X, &trZ, &trY);
+  fe_add(&r->Y, &trZ, &trY);
+  fe_carry(&trZ, &r->T);
+  fe_sub(&r->Z, &trZ, &trT);
+  fe_add(&r->T, &trZ, &trT);
 }
 
 static uint8_t equal(signed char b, signed char c) {
@@ -1190,9 +1355,9 @@
 }
 
 static void cmov(ge_precomp *t, const ge_precomp *u, uint8_t b) {
-  fe_cmov(t->yplusx, u->yplusx, b);
-  fe_cmov(t->yminusx, u->yminusx, b);
-  fe_cmov(t->xy2d, u->xy2d, b);
+  fe_cmov(&t->yplusx, &u->yplusx, b);
+  fe_cmov(&t->yminusx, &u->yminusx, b);
+  fe_cmov(&t->xy2d, &u->xy2d, b);
 }
 
 void x25519_ge_scalarmult_small_precomp(
@@ -1205,14 +1370,14 @@
   for (i = 0; i < 15; i++) {
     const uint8_t *bytes = &precomp_table[i*(2 * 32)];
     fe x, y;
-    fe_frombytes(x, bytes);
-    fe_frombytes(y, bytes + 32);
+    fe_frombytes(&x, bytes);
+    fe_frombytes(&y, bytes + 32);
 
     ge_precomp *out = &multiples[i];
-    fe_add(out->yplusx, y, x);
-    fe_sub(out->yminusx, y, x);
-    fe_mul(out->xy2d, x, y);
-    fe_mul(out->xy2d, out->xy2d, d2);
+    fe_add(&out->yplusx, &y, &x);
+    fe_sub(&out->yminusx, &y, &x);
+    fe_mul_ltt(&out->xy2d, &x, &y);
+    fe_mul_llt(&out->xy2d, &out->xy2d, &d2);
   }
 
   // See the comment above |k25519SmallPrecomp| about the structure of the
@@ -1350,2114 +1515,2114 @@
 static const ge_precomp k25519Precomp[32][8] = {
     {
         {
-            {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},
+            {{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},
+            {{-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},
+            {{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},
+            {{-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},
+            {{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},
+            {{-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},
+            {{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852,
+             5230134, -23952439, -15175766}},
+            {{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722,
+             20654025, 16520125, 30598449, 7715701}},
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         },
         {
-            {-23860538, -11233159, 26961357, 1640861, -32413112, -16737940,
-             12248509, -5240639, 13735342, 1934062},
-            {25089769, 6742589, 17081145, -13406266, 21909293, -16067981,
-             -15136294, -3765346, -21277997, 5473616},
-            {31883677, -7961101, 1083432, -11572403, 22828471, 13290673,
-             -7125085, 12469656, 29111212, -5451014},
+            {{-23860538, -11233159, 26961357, 1640861, -32413112, -16737940,
+             12248509, -5240639, 13735342, 1934062}},
+            {{25089769, 6742589, 17081145, -13406266, 21909293, -16067981,
+             -15136294, -3765346, -21277997, 5473616}},
+            {{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},
+            {{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},
+            {{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},
+            {{-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},
+            {{-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},
+            {{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},
+            {{-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},
+            {{-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},
+            {{-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},
+            {{-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},
+            {{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},
+            {{-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},
+            {{-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}},
         },
     },
 };
@@ -3482,9 +3647,14 @@
   cmov(t, &k25519Precomp[pos][5], equal(babs, 6));
   cmov(t, &k25519Precomp[pos][6], equal(babs, 7));
   cmov(t, &k25519Precomp[pos][7], equal(babs, 8));
-  fe_copy(minust.yplusx, t->yminusx);
-  fe_copy(minust.yminusx, t->yplusx);
-  fe_neg(minust.xy2d, t->xy2d);
+  fe_copy_ll(&minust.yplusx, &t->yminusx);
+  fe_copy_ll(&minust.yminusx, &t->yplusx);
+
+  // NOTE: the input table is canonical, but types don't encode it
+  fe tmp;
+  fe_carry(&tmp, &t->xy2d);
+  fe_neg(&minust.xy2d, &tmp);
+
   cmov(t, &minust, bnegative);
 }
 
@@ -3545,10 +3715,10 @@
 #endif
 
 static void cmov_cached(ge_cached *t, ge_cached *u, uint8_t b) {
-  fe_cmov(t->YplusX, u->YplusX, b);
-  fe_cmov(t->YminusX, u->YminusX, b);
-  fe_cmov(t->Z, u->Z, b);
-  fe_cmov(t->T2d, u->T2d, b);
+  fe_cmov(&t->YplusX, &u->YplusX, b);
+  fe_cmov(&t->YminusX, &u->YminusX, b);
+  fe_cmov(&t->Z, &u->Z, b);
+  fe_cmov(&t->T2d, &u->T2d, b);
 }
 
 // r = scalar * A.
@@ -3641,68 +3811,68 @@
 
 static const ge_precomp Bi[8] = {
     {
-        {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},
+        {{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},
+        {{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},
+        {{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},
+        {{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},
+        {{-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},
+        {{-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},
+        {{-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},
+        {{-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}},
     },
 };
 
@@ -4659,8 +4829,11 @@
     return 0;
   }
 
-  fe_neg(A.X, A.X);
-  fe_neg(A.T, A.T);
+  fe_loose t;
+  fe_neg(&t, &A.X);
+  fe_carry(&A.X, &t);
+  fe_neg(&t, &A.T);
+  fe_carry(&A.T, &t);
 
   uint8_t pkcopy[32];
   OPENSSL_memcpy(pkcopy, public_key, 32);
@@ -4720,14 +4893,14 @@
 // replace (f,g) with (f,g) if b == 0.
 //
 // Preconditions: b in {0,1}.
-static void fe_cswap(fe f, fe g, unsigned int b) {
+static void fe_cswap(fe *f, fe *g, unsigned int b) {
   b = 0-b;
   unsigned i;
   for (i = 0; i < 10; i++) {
-    int32_t x = f[i] ^ g[i];
+    int32_t x = f->v[i] ^ g->v[i];
     x &= b;
-    f[i] ^= x;
-    g[i] ^= x;
+    f->v[i] ^= x;
+    g->v[i] ^= x;
   }
 }
 
@@ -4739,17 +4912,18 @@
 //
 // Postconditions:
 //    |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
-static void fe_mul121666(fe h, fe f) {
-  int32_t f0 = f[0];
-  int32_t f1 = f[1];
-  int32_t f2 = f[2];
-  int32_t f3 = f[3];
-  int32_t f4 = f[4];
-  int32_t f5 = f[5];
-  int32_t f6 = f[6];
-  int32_t f7 = f[7];
-  int32_t f8 = f[8];
-  int32_t f9 = f[9];
+static void fe_mul121666(fe *h, const fe_loose *f) {
+  assert_fe_loose(f->v);
+  int32_t f0 = f->v[0];
+  int32_t f1 = f->v[1];
+  int32_t f2 = f->v[2];
+  int32_t f3 = f->v[3];
+  int32_t f4 = f->v[4];
+  int32_t f5 = f->v[5];
+  int32_t f6 = f->v[6];
+  int32_t f7 = f->v[7];
+  int32_t f8 = f->v[8];
+  int32_t f9 = f->v[9];
   int64_t h0 = f0 * (int64_t) 121666;
   int64_t h1 = f1 * (int64_t) 121666;
   int64_t h2 = f2 * (int64_t) 121666;
@@ -4783,67 +4957,69 @@
   carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits;
   carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits;
 
-  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;
+  h->v[0] = h0;
+  h->v[1] = h1;
+  h->v[2] = h2;
+  h->v[3] = h3;
+  h->v[4] = h4;
+  h->v[5] = h5;
+  h->v[6] = h6;
+  h->v[7] = h7;
+  h->v[8] = h8;
+  h->v[9] = h9;
+  assert_fe(h->v);
 }
 
 static void x25519_scalar_mult_generic(uint8_t out[32],
                                        const uint8_t scalar[32],
                                        const uint8_t point[32]) {
   fe x1, x2, z2, x3, z3, tmp0, tmp1;
+  fe_loose x2l, z2l, x3l, tmp0l, tmp1l;
 
   uint8_t e[32];
   OPENSSL_memcpy(e, scalar, 32);
   e[0] &= 248;
   e[31] &= 127;
   e[31] |= 64;
-  fe_frombytes(x1, point);
-  fe_1(x2);
-  fe_0(z2);
-  fe_copy(x3, x1);
-  fe_1(z3);
+  fe_frombytes(&x1, point);
+  fe_1(&x2);
+  fe_0(&z2);
+  fe_copy(&x3, &x1);
+  fe_1(&z3);
 
   unsigned swap = 0;
   int pos;
   for (pos = 254; pos >= 0; --pos) {
     unsigned b = 1 & (e[pos / 8] >> (pos & 7));
     swap ^= b;
-    fe_cswap(x2, x3, swap);
-    fe_cswap(z2, z3, swap);
+    fe_cswap(&x2, &x3, swap);
+    fe_cswap(&z2, &z3, swap);
     swap = b;
-    fe_sub(tmp0, x3, z3);
-    fe_sub(tmp1, x2, z2);
-    fe_add(x2, x2, z2);
-    fe_add(z2, x3, z3);
-    fe_mul(z3, tmp0, x2);
-    fe_mul(z2, z2, tmp1);
-    fe_sq(tmp0, tmp1);
-    fe_sq(tmp1, x2);
-    fe_add(x3, z3, z2);
-    fe_sub(z2, z3, z2);
-    fe_mul(x2, tmp1, tmp0);
-    fe_sub(tmp1, tmp1, tmp0);
-    fe_sq(z2, z2);
-    fe_mul121666(z3, tmp1);
-    fe_sq(x3, x3);
-    fe_add(tmp0, tmp0, z3);
-    fe_mul(z3, x1, z2);
-    fe_mul(z2, tmp1, tmp0);
+    fe_sub(&tmp0l, &x3, &z3);
+    fe_sub(&tmp1l, &x2, &z2);
+    fe_add(&x2l, &x2, &z2);
+    fe_add(&z2l, &x3, &z3);
+    fe_mul_tll(&z3, &tmp0l, &x2l);
+    fe_mul_tll(&z2, &z2l, &tmp1l);
+    fe_sq_tl(&tmp0, &tmp1l);
+    fe_sq_tl(&tmp1, &x2l);
+    fe_add(&x3l, &z3, &z2);
+    fe_sub(&z2l, &z3, &z2);
+    fe_mul_ttt(&x2, &tmp1, &tmp0);
+    fe_sub(&tmp1l, &tmp1, &tmp0);
+    fe_sq_tl(&z2, &z2l);
+    fe_mul121666(&z3, &tmp1l);
+    fe_sq_tl(&x3, &x3l);
+    fe_add(&tmp0l, &tmp0, &z3);
+    fe_mul_ttt(&z3, &x1, &z2);
+    fe_mul_tll(&z2, &tmp1l, &tmp0l);
   }
-  fe_cswap(x2, x3, swap);
-  fe_cswap(z2, z3, swap);
+  fe_cswap(&x2, &x3, swap);
+  fe_cswap(&z2, &z3, swap);
 
-  fe_invert(z2, z2);
-  fe_mul(x2, x2, z2);
-  fe_tobytes(out, x2);
+  fe_invert(&z2, &z2);
+  fe_mul_ttt(&x2, &x2, &z2);
+  fe_tobytes(out, &x2);
 }
 
 static void x25519_scalar_mult(uint8_t out[32], const uint8_t scalar[32],
@@ -4927,12 +5103,13 @@
 
   // We only need the u-coordinate of the curve25519 point. The map is
   // u=(y+1)/(1-y). Since y=Y/Z, this gives u=(Z+Y)/(Z-Y).
-  fe zplusy, zminusy, zminusy_inv;
-  fe_add(zplusy, A.Z, A.Y);
-  fe_sub(zminusy, A.Z, A.Y);
-  fe_invert(zminusy_inv, zminusy);
-  fe_mul(zplusy, zplusy, zminusy_inv);
-  fe_tobytes(out_public_value, zplusy);
+  fe_loose zplusy, zminusy;
+  fe zminusy_inv;
+  fe_add(&zplusy, &A.Z, &A.Y);
+  fe_sub(&zminusy, &A.Z, &A.Y);
+  fe_loose_invert(&zminusy_inv, &zminusy);
+  fe_mul_tlt(&zminusy_inv, &zplusy, &zminusy_inv);
+  fe_tobytes(out_public_value, &zminusy_inv);
 }
 
 #endif  // BORINGSSL_X25519_X86_64
diff --git a/crypto/curve25519/internal.h b/crypto/curve25519/internal.h
index 4d79cb9..68de500 100644
--- a/crypto/curve25519/internal.h
+++ b/crypto/curve25519/internal.h
@@ -39,9 +39,14 @@
 
 // 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.
-typedef int32_t fe[10];
+// t[3]+2^102 t[4]+...+2^230 t[9].
+// fe limbs are bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+// Multiplication and carrying produce fe from fe_loose.
+typedef struct fe { int32_t v[10]; } fe;
+
+// fe_loose limbs are bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+// Addition and subtraction produce fe_loose from (fe, fe).
+typedef struct fe_loose { int32_t v[10]; } fe_loose;
 
 /* ge means group element.
 
@@ -69,23 +74,23 @@
 } ge_p3;
 
 typedef struct {
-  fe X;
-  fe Y;
-  fe Z;
-  fe T;
+  fe_loose X;
+  fe_loose Y;
+  fe_loose Z;
+  fe_loose T;
 } ge_p1p1;
 
 typedef struct {
-  fe yplusx;
-  fe yminusx;
-  fe xy2d;
+  fe_loose yplusx;
+  fe_loose yminusx;
+  fe_loose xy2d;
 } ge_precomp;
 
 typedef struct {
-  fe YplusX;
-  fe YminusX;
-  fe Z;
-  fe T2d;
+  fe_loose YplusX;
+  fe_loose YminusX;
+  fe_loose Z;
+  fe_loose T2d;
 } ge_cached;
 
 void x25519_ge_tobytes(uint8_t *s, const ge_p2 *h);
diff --git a/crypto/curve25519/x25519_test.cc b/crypto/curve25519/x25519_test.cc
index 903892f..3e0a27e 100644
--- a/crypto/curve25519/x25519_test.cc
+++ b/crypto/curve25519/x25519_test.cc
@@ -105,3 +105,22 @@
 
   EXPECT_EQ(Bytes(kExpected), Bytes(scalar));
 }
+
+TEST(X25519Test, DISABLED_IteratedLarge) {
+  // Taken from https://tools.ietf.org/html/rfc7748#section-5.2.
+  uint8_t scalar[32] = {9}, point[32] = {9}, out[32];
+
+  for (unsigned i = 0; i < 1000000; i++) {
+    EXPECT_TRUE(X25519(out, scalar, point));
+    OPENSSL_memcpy(point, scalar, sizeof(point));
+    OPENSSL_memcpy(scalar, out, sizeof(scalar));
+  }
+
+  static const uint8_t kExpected[32] = {
+      0x7c, 0x39, 0x11, 0xe0, 0xab, 0x25, 0x86, 0xfd, 0x86, 0x44, 0x97,
+      0x29, 0x7e, 0x57, 0x5e, 0x6f, 0x3b, 0xc6, 0x01, 0xc0, 0x88, 0x3c,
+      0x30, 0xdf, 0x5f, 0x4d, 0xd2, 0xd2, 0x4f, 0x66, 0x54, 0x24,
+  };
+
+  EXPECT_EQ(Bytes(kExpected), Bytes(scalar));
+}