added comparison tests with ed25519-donna

diff --git a/.gitignore b/.gitignore
index 31bde7a258a871d9c8421442f5be01d6c896c3d1..be405c01807d2e93fde23cd0c36234deda2e0a02 100644 (file)
--- a/.gitignore
+++ b/.gitignore
@@ -4,4 +4,5 @@
 *.gch
 test
 sodium
+donna
 rename_*

diff --git a/makefile b/makefile
index 0586057e9f1764bd8532305ad30859cf73bb3b19..99929a876a7637b824f1cd3510415b1c32fe18f9 100644 (file)
--- a/makefile
+++ b/makefile
@@ -5,12 +5,12 @@ CFLAGS= -I src -O2 -Wall -Wextra -std=c11 -pedantic
 # disable implicit rules
 .SUFFIXES:
 
-all: test sodium
+all: test sodium donna
 
 clean:
        rm -rf bin
        rm -f src/*.gch src/rename_*
-       rm -f test sodium
+       rm -f test sodium donna
 
 # Test suite based on test vectors
 test: tests/test.c bin/monocypher.o bin/sha512.o
@@ -22,6 +22,17 @@ LD_SODIUM_FLAGS=$$(pkg-config --libs libsodium)
 sodium: tests/sodium.c bin/rename_monocypher.o bin/rename_sha512.o
        $(CC) $(CFLAGS) -o $@ $^ $(C_SODIUM_FLAGS) $(LD_SODIUM_FLAGS)
 
+# Test edDSA/blake2b by comparing with the donna implementation
+# Note: we're using Blake2b, the default hash for monocypher edDSA
+donna: tests/donna.c bin/classic_monocypher.o bin/donna.o
+       $(CC) $(CFLAGS) -o $@ $^ -I tests/ed25519-donna
+bin/classic_monocypher.o: src/monocypher.c src/monocypher.h
+       @mkdir -p $(@D)
+       $(CC) $(CFLAGS) -o $@ -c $<
+bin/donna.o: tests/ed25519-donna/ed25519.c
+       @mkdir -p $(@D)
+       $(CC) $(CFLAGS) -o $@ -c $< -DED25519_CUSTOMHASH -DED25519_TEST -DED25519_NO_INLINE_ASM -DED25519_FORCE_32BIT
+
 # compile monocypher
 # use -DED25519_SHA512 for ed25519 compatibility
 bin/rename_monocypher.o: src/rename_monocypher.c src/rename_monocypher.h src/rename_sha512.h

diff --git a/tests/donna.c b/tests/donna.c
new file mode 100644 (file)
index 0000000..05b1aed
--- /dev/null
+++ b/tests/donna.c
@@ -0,0 +1,50 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "monocypher.h"
+#include <ed25519.h>
+
+#define FOR(i, start, end) for (size_t (i) = (start); (i) < (end); (i)++)
+#define sv static void
+typedef  int8_t   i8;
+typedef uint8_t   u8;
+typedef uint32_t u32;
+typedef  int32_t i32;
+typedef  int64_t i64;
+typedef uint64_t u64;
+
+// Deterministic "random" number generator, so we can make "random", yet
+// reproducible tests.  To change the random stream, change the seed.
+void random(u8 *stream, u8 size)
+{
+    static crypto_chacha_ctx ctx;
+    static int is_init = 0;
+    if (!is_init){
+        static const u8 seed[32] = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+                                    0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
+        crypto_chacha20_init(&ctx, seed, seed);
+        is_init = 1;
+    }
+    crypto_chacha20_stream(&ctx, stream, size);
+}
+
+int main(void)
+{
+    u8 sk[32], pk_mono[32], pk_donna[32];
+    u8 msg[255], sig_mono[64], sig_donna[64];
+    int status = 0;
+    FOR (size, 0, 255) {
+        // public keys
+        random(sk, 32);
+        crypto_sign_public_key(pk_mono, sk);
+        ed25519_publickey(sk, pk_donna);
+        status |= crypto_memcmp(pk_mono, pk_donna, 32);
+        // signatures
+        random(msg, size);
+        crypto_sign(sig_mono, sk, pk_mono, msg, size);
+        ed25519_sign(msg, size, sk, pk_donna, sig_donna);
+        status |= crypto_memcmp(sig_mono, sig_donna, 64);
+    }
+    printf("%s: EdDSA (donna)\n", status != 0 ? "FAILED" : "OK");
+    return status;
+}

diff --git a/tests/ed25519-donna/curve25519-donna-32bit.h b/tests/ed25519-donna/curve25519-donna-32bit.h
new file mode 100644 (file)
index 0000000..b0861ac
--- /dev/null
+++ b/tests/ed25519-donna/curve25519-donna-32bit.h
@@ -0,0 +1,579 @@
+/*
+       Public domain by Andrew M. <liquidsun@gmail.com>
+       See: https://github.com/floodyberry/curve25519-donna
+
+       32 bit integer curve25519 implementation
+*/
+
+typedef uint32_t bignum25519[10];
+typedef uint32_t bignum25519align16[12];
+
+static const uint32_t reduce_mask_25 = (1 << 25) - 1;
+static const uint32_t reduce_mask_26 = (1 << 26) - 1;
+
+
+/* out = in */
+DONNA_INLINE static void
+curve25519_copy(bignum25519 out, const bignum25519 in) {
+       out[0] = in[0];
+       out[1] = in[1];
+       out[2] = in[2];
+       out[3] = in[3];
+       out[4] = in[4];
+       out[5] = in[5];
+       out[6] = in[6];
+       out[7] = in[7];
+       out[8] = in[8];
+       out[9] = in[9];
+}
+
+/* out = a + b */
+DONNA_INLINE static void
+curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) {
+       out[0] = a[0] + b[0];
+       out[1] = a[1] + b[1];
+       out[2] = a[2] + b[2];
+       out[3] = a[3] + b[3];
+       out[4] = a[4] + b[4];
+       out[5] = a[5] + b[5];
+       out[6] = a[6] + b[6];
+       out[7] = a[7] + b[7];
+       out[8] = a[8] + b[8];
+       out[9] = a[9] + b[9];
+}
+
+DONNA_INLINE static void 
+curve25519_add_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) {
+       uint32_t c;
+       out[0] = a[0] + b[0]    ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
+       out[1] = a[1] + b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
+       out[2] = a[2] + b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
+       out[3] = a[3] + b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
+       out[4] = a[4] + b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
+       out[5] = a[5] + b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
+       out[6] = a[6] + b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
+       out[7] = a[7] + b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
+       out[8] = a[8] + b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
+       out[9] = a[9] + b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
+       out[0] += 19 * c;
+}
+
+DONNA_INLINE static void
+curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) {
+       uint32_t c;
+       out[0] = a[0] + b[0]    ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
+       out[1] = a[1] + b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
+       out[2] = a[2] + b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
+       out[3] = a[3] + b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
+       out[4] = a[4] + b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
+       out[5] = a[5] + b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
+       out[6] = a[6] + b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
+       out[7] = a[7] + b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
+       out[8] = a[8] + b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
+       out[9] = a[9] + b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
+       out[0] += 19 * c;
+}
+
+/* multiples of p */
+static const uint32_t twoP0       = 0x07ffffda;
+static const uint32_t twoP13579   = 0x03fffffe;
+static const uint32_t twoP2468    = 0x07fffffe;
+static const uint32_t fourP0      = 0x0fffffb4;
+static const uint32_t fourP13579  = 0x07fffffc;
+static const uint32_t fourP2468   = 0x0ffffffc;
+
+/* out = a - b */
+DONNA_INLINE static void
+curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) {
+       uint32_t c;
+       out[0] = twoP0     + a[0] - b[0]    ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
+       out[1] = twoP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
+       out[2] = twoP2468  + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
+       out[3] = twoP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
+       out[4] = twoP2468  + a[4] - b[4] + c;
+       out[5] = twoP13579 + a[5] - b[5]    ;
+       out[6] = twoP2468  + a[6] - b[6]    ;
+       out[7] = twoP13579 + a[7] - b[7]    ;
+       out[8] = twoP2468  + a[8] - b[8]    ;
+       out[9] = twoP13579 + a[9] - b[9]    ;
+}
+
+/* out = a - b, where a is the result of a basic op (add,sub) */
+DONNA_INLINE static void
+curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) {
+       uint32_t c;
+       out[0] = fourP0     + a[0] - b[0]    ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
+       out[1] = fourP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
+       out[2] = fourP2468  + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
+       out[3] = fourP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
+       out[4] = fourP2468  + a[4] - b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
+       out[5] = fourP13579 + a[5] - b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
+       out[6] = fourP2468  + a[6] - b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
+       out[7] = fourP13579 + a[7] - b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
+       out[8] = fourP2468  + a[8] - b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
+       out[9] = fourP13579 + a[9] - b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
+       out[0] += 19 * c;
+}
+
+DONNA_INLINE static void
+curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) {
+       uint32_t c;
+       out[0] = fourP0     + a[0] - b[0]    ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
+       out[1] = fourP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
+       out[2] = fourP2468  + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
+       out[3] = fourP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
+       out[4] = fourP2468  + a[4] - b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
+       out[5] = fourP13579 + a[5] - b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
+       out[6] = fourP2468  + a[6] - b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
+       out[7] = fourP13579 + a[7] - b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
+       out[8] = fourP2468  + a[8] - b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
+       out[9] = fourP13579 + a[9] - b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
+       out[0] += 19 * c;
+}
+
+/* out = -a */
+DONNA_INLINE static void
+curve25519_neg(bignum25519 out, const bignum25519 a) {
+       uint32_t c;
+       out[0] = twoP0     - a[0]    ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
+       out[1] = twoP13579 - a[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
+       out[2] = twoP2468  - a[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
+       out[3] = twoP13579 - a[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
+       out[4] = twoP2468  - a[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
+       out[5] = twoP13579 - a[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
+       out[6] = twoP2468  - a[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
+       out[7] = twoP13579 - a[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
+       out[8] = twoP2468  - a[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
+       out[9] = twoP13579 - a[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
+       out[0] += 19 * c;
+}
+
+/* out = a * b */
+#define curve25519_mul_noinline curve25519_mul
+static void
+curve25519_mul(bignum25519 out, const bignum25519 a, const bignum25519 b) {
+       uint32_t r0,r1,r2,r3,r4,r5,r6,r7,r8,r9;
+       uint32_t s0,s1,s2,s3,s4,s5,s6,s7,s8,s9;
+       uint64_t m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c;
+       uint32_t p;
+
+       r0 = b[0];
+       r1 = b[1];
+       r2 = b[2];
+       r3 = b[3];
+       r4 = b[4];
+       r5 = b[5];
+       r6 = b[6];
+       r7 = b[7];
+       r8 = b[8];
+       r9 = b[9];
+
+       s0 = a[0];
+       s1 = a[1];
+       s2 = a[2];
+       s3 = a[3];
+       s4 = a[4];
+       s5 = a[5];
+       s6 = a[6];
+       s7 = a[7];
+       s8 = a[8];
+       s9 = a[9];
+
+       m1 = mul32x32_64(r0, s1) + mul32x32_64(r1, s0);
+       m3 = mul32x32_64(r0, s3) + mul32x32_64(r1, s2) + mul32x32_64(r2, s1) + mul32x32_64(r3, s0);
+       m5 = mul32x32_64(r0, s5) + mul32x32_64(r1, s4) + mul32x32_64(r2, s3) + mul32x32_64(r3, s2) + mul32x32_64(r4, s1) + mul32x32_64(r5, s0);
+       m7 = mul32x32_64(r0, s7) + mul32x32_64(r1, s6) + mul32x32_64(r2, s5) + mul32x32_64(r3, s4) + mul32x32_64(r4, s3) + mul32x32_64(r5, s2) + mul32x32_64(r6, s1) + mul32x32_64(r7, s0);
+       m9 = mul32x32_64(r0, s9) + mul32x32_64(r1, s8) + mul32x32_64(r2, s7) + mul32x32_64(r3, s6) + mul32x32_64(r4, s5) + mul32x32_64(r5, s4) + mul32x32_64(r6, s3) + mul32x32_64(r7, s2) + mul32x32_64(r8, s1) + mul32x32_64(r9, s0);
+
+       r1 *= 2;
+       r3 *= 2;
+       r5 *= 2;
+       r7 *= 2;
+
+       m0 = mul32x32_64(r0, s0);
+       m2 = mul32x32_64(r0, s2) + mul32x32_64(r1, s1) + mul32x32_64(r2, s0);
+       m4 = mul32x32_64(r0, s4) + mul32x32_64(r1, s3) + mul32x32_64(r2, s2) + mul32x32_64(r3, s1) + mul32x32_64(r4, s0);
+       m6 = mul32x32_64(r0, s6) + mul32x32_64(r1, s5) + mul32x32_64(r2, s4) + mul32x32_64(r3, s3) + mul32x32_64(r4, s2) + mul32x32_64(r5, s1) + mul32x32_64(r6, s0);
+       m8 = mul32x32_64(r0, s8) + mul32x32_64(r1, s7) + mul32x32_64(r2, s6) + mul32x32_64(r3, s5) + mul32x32_64(r4, s4) + mul32x32_64(r5, s3) + mul32x32_64(r6, s2) + mul32x32_64(r7, s1) + mul32x32_64(r8, s0);
+
+       r1 *= 19;
+       r2 *= 19;
+       r3 = (r3 / 2) * 19;
+       r4 *= 19;
+       r5 = (r5 / 2) * 19;
+       r6 *= 19;
+       r7 = (r7 / 2) * 19;
+       r8 *= 19;
+       r9 *= 19;
+
+       m1 += (mul32x32_64(r9, s2) + mul32x32_64(r8, s3) + mul32x32_64(r7, s4) + mul32x32_64(r6, s5) + mul32x32_64(r5, s6) + mul32x32_64(r4, s7) + mul32x32_64(r3, s8) + mul32x32_64(r2, s9));
+       m3 += (mul32x32_64(r9, s4) + mul32x32_64(r8, s5) + mul32x32_64(r7, s6) + mul32x32_64(r6, s7) + mul32x32_64(r5, s8) + mul32x32_64(r4, s9));
+       m5 += (mul32x32_64(r9, s6) + mul32x32_64(r8, s7) + mul32x32_64(r7, s8) + mul32x32_64(r6, s9));
+       m7 += (mul32x32_64(r9, s8) + mul32x32_64(r8, s9));
+
+       r3 *= 2;
+       r5 *= 2;
+       r7 *= 2;
+       r9 *= 2;
+
+       m0 += (mul32x32_64(r9, s1) + mul32x32_64(r8, s2) + mul32x32_64(r7, s3) + mul32x32_64(r6, s4) + mul32x32_64(r5, s5) + mul32x32_64(r4, s6) + mul32x32_64(r3, s7) + mul32x32_64(r2, s8) + mul32x32_64(r1, s9));
+       m2 += (mul32x32_64(r9, s3) + mul32x32_64(r8, s4) + mul32x32_64(r7, s5) + mul32x32_64(r6, s6) + mul32x32_64(r5, s7) + mul32x32_64(r4, s8) + mul32x32_64(r3, s9));
+       m4 += (mul32x32_64(r9, s5) + mul32x32_64(r8, s6) + mul32x32_64(r7, s7) + mul32x32_64(r6, s8) + mul32x32_64(r5, s9));
+       m6 += (mul32x32_64(r9, s7) + mul32x32_64(r8, s8) + mul32x32_64(r7, s9));
+       m8 += (mul32x32_64(r9, s9));
+
+                                    r0 = (uint32_t)m0 & reduce_mask_26; c = (m0 >> 26);
+       m1 += c;                     r1 = (uint32_t)m1 & reduce_mask_25; c = (m1 >> 25);
+       m2 += c;                     r2 = (uint32_t)m2 & reduce_mask_26; c = (m2 >> 26);
+       m3 += c;                     r3 = (uint32_t)m3 & reduce_mask_25; c = (m3 >> 25);
+       m4 += c;                     r4 = (uint32_t)m4 & reduce_mask_26; c = (m4 >> 26);
+       m5 += c;                     r5 = (uint32_t)m5 & reduce_mask_25; c = (m5 >> 25);
+       m6 += c;                     r6 = (uint32_t)m6 & reduce_mask_26; c = (m6 >> 26);
+       m7 += c;                     r7 = (uint32_t)m7 & reduce_mask_25; c = (m7 >> 25);
+       m8 += c;                     r8 = (uint32_t)m8 & reduce_mask_26; c = (m8 >> 26);
+       m9 += c;                     r9 = (uint32_t)m9 & reduce_mask_25; p = (uint32_t)(m9 >> 25);
+       m0 = r0 + mul32x32_64(p,19); r0 = (uint32_t)m0 & reduce_mask_26; p = (uint32_t)(m0 >> 26);
+       r1 += p;
+
+       out[0] = r0;
+       out[1] = r1;
+       out[2] = r2;
+       out[3] = r3;
+       out[4] = r4;
+       out[5] = r5;
+       out[6] = r6;
+       out[7] = r7;
+       out[8] = r8;
+       out[9] = r9;
+}
+
+/* out = in*in */
+static void
+curve25519_square(bignum25519 out, const bignum25519 in) {
+       uint32_t r0,r1,r2,r3,r4,r5,r6,r7,r8,r9;
+       uint32_t d6,d7,d8,d9;
+       uint64_t m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c;
+       uint32_t p;
+
+       r0 = in[0];
+       r1 = in[1];
+       r2 = in[2];
+       r3 = in[3];
+       r4 = in[4];
+       r5 = in[5];
+       r6 = in[6];
+       r7 = in[7];
+       r8 = in[8];
+       r9 = in[9];
+
+       m0 = mul32x32_64(r0, r0);
+       r0 *= 2;
+       m1 = mul32x32_64(r0, r1);
+       m2 = mul32x32_64(r0, r2) + mul32x32_64(r1, r1 * 2);
+       r1 *= 2;
+       m3 = mul32x32_64(r0, r3) + mul32x32_64(r1, r2    );
+       m4 = mul32x32_64(r0, r4) + mul32x32_64(r1, r3 * 2) + mul32x32_64(r2, r2);
+       r2 *= 2;
+       m5 = mul32x32_64(r0, r5) + mul32x32_64(r1, r4    ) + mul32x32_64(r2, r3);
+       m6 = mul32x32_64(r0, r6) + mul32x32_64(r1, r5 * 2) + mul32x32_64(r2, r4) + mul32x32_64(r3, r3 * 2);
+       r3 *= 2;
+       m7 = mul32x32_64(r0, r7) + mul32x32_64(r1, r6    ) + mul32x32_64(r2, r5) + mul32x32_64(r3, r4    );
+       m8 = mul32x32_64(r0, r8) + mul32x32_64(r1, r7 * 2) + mul32x32_64(r2, r6) + mul32x32_64(r3, r5 * 2) + mul32x32_64(r4, r4    );
+       m9 = mul32x32_64(r0, r9) + mul32x32_64(r1, r8    ) + mul32x32_64(r2, r7) + mul32x32_64(r3, r6    ) + mul32x32_64(r4, r5 * 2);
+
+       d6 = r6 * 19;
+       d7 = r7 * 2 * 19;
+       d8 = r8 * 19;
+       d9 = r9 * 2 * 19;
+
+       m0 += (mul32x32_64(d9, r1    ) + mul32x32_64(d8, r2    ) + mul32x32_64(d7, r3    ) + mul32x32_64(d6, r4 * 2) + mul32x32_64(r5, r5 * 2 * 19));
+       m1 += (mul32x32_64(d9, r2 / 2) + mul32x32_64(d8, r3    ) + mul32x32_64(d7, r4    ) + mul32x32_64(d6, r5 * 2));
+       m2 += (mul32x32_64(d9, r3    ) + mul32x32_64(d8, r4 * 2) + mul32x32_64(d7, r5 * 2) + mul32x32_64(d6, r6    ));
+       m3 += (mul32x32_64(d9, r4    ) + mul32x32_64(d8, r5 * 2) + mul32x32_64(d7, r6    ));
+       m4 += (mul32x32_64(d9, r5 * 2) + mul32x32_64(d8, r6 * 2) + mul32x32_64(d7, r7    ));
+       m5 += (mul32x32_64(d9, r6    ) + mul32x32_64(d8, r7 * 2));
+       m6 += (mul32x32_64(d9, r7 * 2) + mul32x32_64(d8, r8    ));
+       m7 += (mul32x32_64(d9, r8    ));
+       m8 += (mul32x32_64(d9, r9    ));
+
+                                    r0 = (uint32_t)m0 & reduce_mask_26; c = (m0 >> 26);
+       m1 += c;                     r1 = (uint32_t)m1 & reduce_mask_25; c = (m1 >> 25);
+       m2 += c;                     r2 = (uint32_t)m2 & reduce_mask_26; c = (m2 >> 26);
+       m3 += c;                     r3 = (uint32_t)m3 & reduce_mask_25; c = (m3 >> 25);
+       m4 += c;                     r4 = (uint32_t)m4 & reduce_mask_26; c = (m4 >> 26);
+       m5 += c;                     r5 = (uint32_t)m5 & reduce_mask_25; c = (m5 >> 25);
+       m6 += c;                     r6 = (uint32_t)m6 & reduce_mask_26; c = (m6 >> 26);
+       m7 += c;                     r7 = (uint32_t)m7 & reduce_mask_25; c = (m7 >> 25);
+       m8 += c;                     r8 = (uint32_t)m8 & reduce_mask_26; c = (m8 >> 26);
+       m9 += c;                     r9 = (uint32_t)m9 & reduce_mask_25; p = (uint32_t)(m9 >> 25);
+       m0 = r0 + mul32x32_64(p,19); r0 = (uint32_t)m0 & reduce_mask_26; p = (uint32_t)(m0 >> 26);
+       r1 += p;
+
+       out[0] = r0;
+       out[1] = r1;
+       out[2] = r2;
+       out[3] = r3;
+       out[4] = r4;
+       out[5] = r5;
+       out[6] = r6;
+       out[7] = r7;
+       out[8] = r8;
+       out[9] = r9;
+}
+
+
+/* out = in ^ (2 * count) */
+static void
+curve25519_square_times(bignum25519 out, const bignum25519 in, int count) {
+       uint32_t r0,r1,r2,r3,r4,r5,r6,r7,r8,r9;
+       uint32_t d6,d7,d8,d9;
+       uint64_t m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c;
+       uint32_t p;
+
+       r0 = in[0];
+       r1 = in[1];
+       r2 = in[2];
+       r3 = in[3];
+       r4 = in[4];
+       r5 = in[5];
+       r6 = in[6];
+       r7 = in[7];
+       r8 = in[8];
+       r9 = in[9];
+
+       do {
+               m0 = mul32x32_64(r0, r0);
+               r0 *= 2;
+               m1 = mul32x32_64(r0, r1);
+               m2 = mul32x32_64(r0, r2) + mul32x32_64(r1, r1 * 2);
+               r1 *= 2;
+               m3 = mul32x32_64(r0, r3) + mul32x32_64(r1, r2    );
+               m4 = mul32x32_64(r0, r4) + mul32x32_64(r1, r3 * 2) + mul32x32_64(r2, r2);
+               r2 *= 2;
+               m5 = mul32x32_64(r0, r5) + mul32x32_64(r1, r4    ) + mul32x32_64(r2, r3);
+               m6 = mul32x32_64(r0, r6) + mul32x32_64(r1, r5 * 2) + mul32x32_64(r2, r4) + mul32x32_64(r3, r3 * 2);
+               r3 *= 2;
+               m7 = mul32x32_64(r0, r7) + mul32x32_64(r1, r6    ) + mul32x32_64(r2, r5) + mul32x32_64(r3, r4    );
+               m8 = mul32x32_64(r0, r8) + mul32x32_64(r1, r7 * 2) + mul32x32_64(r2, r6) + mul32x32_64(r3, r5 * 2) + mul32x32_64(r4, r4    );
+               m9 = mul32x32_64(r0, r9) + mul32x32_64(r1, r8    ) + mul32x32_64(r2, r7) + mul32x32_64(r3, r6    ) + mul32x32_64(r4, r5 * 2);
+
+               d6 = r6 * 19;
+               d7 = r7 * 2 * 19;
+               d8 = r8 * 19;
+               d9 = r9 * 2 * 19;
+
+               m0 += (mul32x32_64(d9, r1    ) + mul32x32_64(d8, r2    ) + mul32x32_64(d7, r3    ) + mul32x32_64(d6, r4 * 2) + mul32x32_64(r5, r5 * 2 * 19));
+               m1 += (mul32x32_64(d9, r2 / 2) + mul32x32_64(d8, r3    ) + mul32x32_64(d7, r4    ) + mul32x32_64(d6, r5 * 2));
+               m2 += (mul32x32_64(d9, r3    ) + mul32x32_64(d8, r4 * 2) + mul32x32_64(d7, r5 * 2) + mul32x32_64(d6, r6    ));
+               m3 += (mul32x32_64(d9, r4    ) + mul32x32_64(d8, r5 * 2) + mul32x32_64(d7, r6    ));
+               m4 += (mul32x32_64(d9, r5 * 2) + mul32x32_64(d8, r6 * 2) + mul32x32_64(d7, r7    ));
+               m5 += (mul32x32_64(d9, r6    ) + mul32x32_64(d8, r7 * 2));
+               m6 += (mul32x32_64(d9, r7 * 2) + mul32x32_64(d8, r8    ));
+               m7 += (mul32x32_64(d9, r8    ));
+               m8 += (mul32x32_64(d9, r9    ));
+
+                                            r0 = (uint32_t)m0 & reduce_mask_26; c = (m0 >> 26);
+               m1 += c;                     r1 = (uint32_t)m1 & reduce_mask_25; c = (m1 >> 25);
+               m2 += c;                     r2 = (uint32_t)m2 & reduce_mask_26; c = (m2 >> 26);
+               m3 += c;                     r3 = (uint32_t)m3 & reduce_mask_25; c = (m3 >> 25);
+               m4 += c;                     r4 = (uint32_t)m4 & reduce_mask_26; c = (m4 >> 26);
+               m5 += c;                     r5 = (uint32_t)m5 & reduce_mask_25; c = (m5 >> 25);
+               m6 += c;                     r6 = (uint32_t)m6 & reduce_mask_26; c = (m6 >> 26);
+               m7 += c;                     r7 = (uint32_t)m7 & reduce_mask_25; c = (m7 >> 25);
+               m8 += c;                     r8 = (uint32_t)m8 & reduce_mask_26; c = (m8 >> 26);
+               m9 += c;                     r9 = (uint32_t)m9 & reduce_mask_25; p = (uint32_t)(m9 >> 25);
+               m0 = r0 + mul32x32_64(p,19); r0 = (uint32_t)m0 & reduce_mask_26; p = (uint32_t)(m0 >> 26);
+               r1 += p;
+       } while (--count);
+
+       out[0] = r0;
+       out[1] = r1;
+       out[2] = r2;
+       out[3] = r3;
+       out[4] = r4;
+       out[5] = r5;
+       out[6] = r6;
+       out[7] = r7;
+       out[8] = r8;
+       out[9] = r9;
+}
+
+/* Take a little-endian, 32-byte number and expand it into polynomial form */
+static void
+curve25519_expand(bignum25519 out, const unsigned char in[32]) {
+       static const union { uint8_t b[2]; uint16_t s; } endian_check = {{1,0}};
+       uint32_t x0,x1,x2,x3,x4,x5,x6,x7;
+
+       if (endian_check.s == 1) {
+               x0 = *(uint32_t *)(in + 0);
+               x1 = *(uint32_t *)(in + 4);
+               x2 = *(uint32_t *)(in + 8);
+               x3 = *(uint32_t *)(in + 12);
+               x4 = *(uint32_t *)(in + 16);
+               x5 = *(uint32_t *)(in + 20);
+               x6 = *(uint32_t *)(in + 24);
+               x7 = *(uint32_t *)(in + 28);
+    } else {
+               #define F(s)                         \
+                       ((((uint32_t)in[s + 0])      ) | \
+                        (((uint32_t)in[s + 1]) <<  8) | \
+                        (((uint32_t)in[s + 2]) << 16) | \
+                        (((uint32_t)in[s + 3]) << 24))
+               x0 = F(0);
+               x1 = F(4);
+               x2 = F(8);
+               x3 = F(12);
+               x4 = F(16);
+               x5 = F(20);
+               x6 = F(24);
+               x7 = F(28);
+               #undef F
+       }
+
+       out[0] = (                        x0       ) & 0x3ffffff;
+       out[1] = ((((uint64_t)x1 << 32) | x0) >> 26) & 0x1ffffff;
+       out[2] = ((((uint64_t)x2 << 32) | x1) >> 19) & 0x3ffffff;
+       out[3] = ((((uint64_t)x3 << 32) | x2) >> 13) & 0x1ffffff;
+       out[4] = ((                       x3) >>  6) & 0x3ffffff;
+       out[5] = (                        x4       ) & 0x1ffffff;
+       out[6] = ((((uint64_t)x5 << 32) | x4) >> 25) & 0x3ffffff;
+       out[7] = ((((uint64_t)x6 << 32) | x5) >> 19) & 0x1ffffff;
+       out[8] = ((((uint64_t)x7 << 32) | x6) >> 12) & 0x3ffffff;
+       out[9] = ((                       x7) >>  6) & 0x1ffffff;
+}
+
+/* Take a fully reduced polynomial form number and contract it into a
+ * little-endian, 32-byte array
+ */
+static void
+curve25519_contract(unsigned char out[32], const bignum25519 in) {
+       bignum25519 f;
+       curve25519_copy(f, in);
+
+       #define carry_pass() \
+               f[1] += f[0] >> 26; f[0] &= reduce_mask_26; \
+               f[2] += f[1] >> 25; f[1] &= reduce_mask_25; \
+               f[3] += f[2] >> 26; f[2] &= reduce_mask_26; \
+               f[4] += f[3] >> 25; f[3] &= reduce_mask_25; \
+               f[5] += f[4] >> 26; f[4] &= reduce_mask_26; \
+               f[6] += f[5] >> 25; f[5] &= reduce_mask_25; \
+               f[7] += f[6] >> 26; f[6] &= reduce_mask_26; \
+               f[8] += f[7] >> 25; f[7] &= reduce_mask_25; \
+               f[9] += f[8] >> 26; f[8] &= reduce_mask_26;
+
+       #define carry_pass_full() \
+               carry_pass() \
+               f[0] += 19 * (f[9] >> 25); f[9] &= reduce_mask_25;
+
+       #define carry_pass_final() \
+               carry_pass() \
+               f[9] &= reduce_mask_25;
+
+       carry_pass_full()
+       carry_pass_full()
+
+       /* now t is between 0 and 2^255-1, properly carried. */
+       /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */
+       f[0] += 19;
+       carry_pass_full()
+
+       /* now between 19 and 2^255-1 in both cases, and offset by 19. */
+       f[0] += (reduce_mask_26 + 1) - 19;
+       f[1] += (reduce_mask_25 + 1) - 1;
+       f[2] += (reduce_mask_26 + 1) - 1;
+       f[3] += (reduce_mask_25 + 1) - 1;
+       f[4] += (reduce_mask_26 + 1) - 1;
+       f[5] += (reduce_mask_25 + 1) - 1;
+       f[6] += (reduce_mask_26 + 1) - 1;
+       f[7] += (reduce_mask_25 + 1) - 1;
+       f[8] += (reduce_mask_26 + 1) - 1;
+       f[9] += (reduce_mask_25 + 1) - 1;
+
+       /* now between 2^255 and 2^256-20, and offset by 2^255. */
+       carry_pass_final()
+
+       #undef carry_pass
+       #undef carry_full
+       #undef carry_final
+
+       f[1] <<= 2;
+       f[2] <<= 3;
+       f[3] <<= 5;
+       f[4] <<= 6;
+       f[6] <<= 1;
+       f[7] <<= 3;
+       f[8] <<= 4;
+       f[9] <<= 6;
+
+       #define F(i, s) \
+               out[s+0] |= (unsigned char )(f[i] & 0xff); \
+               out[s+1] = (unsigned char )((f[i] >> 8) & 0xff); \
+               out[s+2] = (unsigned char )((f[i] >> 16) & 0xff); \
+               out[s+3] = (unsigned char )((f[i] >> 24) & 0xff);
+
+       out[0] = 0;
+       out[16] = 0;
+       F(0,0);
+       F(1,3);
+       F(2,6);
+       F(3,9);
+       F(4,12);
+       F(5,16);
+       F(6,19);
+       F(7,22);
+       F(8,25);
+       F(9,28);
+       #undef F
+}
+
+
+/* out = (flag) ? in : out */
+DONNA_INLINE static void
+curve25519_move_conditional_bytes(uint8_t out[96], const uint8_t in[96], uint32_t flag) {
+       const uint32_t nb = flag - 1, b = ~nb;
+       const uint32_t *inl = (const uint32_t *)in;
+       uint32_t *outl = (uint32_t *)out;
+       outl[0] = (outl[0] & nb) | (inl[0] & b);
+       outl[1] = (outl[1] & nb) | (inl[1] & b);
+       outl[2] = (outl[2] & nb) | (inl[2] & b);
+       outl[3] = (outl[3] & nb) | (inl[3] & b);
+       outl[4] = (outl[4] & nb) | (inl[4] & b);
+       outl[5] = (outl[5] & nb) | (inl[5] & b);
+       outl[6] = (outl[6] & nb) | (inl[6] & b);
+       outl[7] = (outl[7] & nb) | (inl[7] & b);
+       outl[8] = (outl[8] & nb) | (inl[8] & b);
+       outl[9] = (outl[9] & nb) | (inl[9] & b);
+       outl[10] = (outl[10] & nb) | (inl[10] & b);
+       outl[11] = (outl[11] & nb) | (inl[11] & b);
+       outl[12] = (outl[12] & nb) | (inl[12] & b);
+       outl[13] = (outl[13] & nb) | (inl[13] & b);
+       outl[14] = (outl[14] & nb) | (inl[14] & b);
+       outl[15] = (outl[15] & nb) | (inl[15] & b);
+       outl[16] = (outl[16] & nb) | (inl[16] & b);
+       outl[17] = (outl[17] & nb) | (inl[17] & b);
+       outl[18] = (outl[18] & nb) | (inl[18] & b);
+       outl[19] = (outl[19] & nb) | (inl[19] & b);
+       outl[20] = (outl[20] & nb) | (inl[20] & b);
+       outl[21] = (outl[21] & nb) | (inl[21] & b);
+       outl[22] = (outl[22] & nb) | (inl[22] & b);
+       outl[23] = (outl[23] & nb) | (inl[23] & b);
+
+}
+
+/* if (iswap) swap(a, b) */
+DONNA_INLINE static void
+curve25519_swap_conditional(bignum25519 a, bignum25519 b, uint32_t iswap) {
+       const uint32_t swap = (uint32_t)(-(int32_t)iswap);
+       uint32_t x0,x1,x2,x3,x4,x5,x6,x7,x8,x9;
+
+       x0 = swap & (a[0] ^ b[0]); a[0] ^= x0; b[0] ^= x0;
+       x1 = swap & (a[1] ^ b[1]); a[1] ^= x1; b[1] ^= x1;
+       x2 = swap & (a[2] ^ b[2]); a[2] ^= x2; b[2] ^= x2;
+       x3 = swap & (a[3] ^ b[3]); a[3] ^= x3; b[3] ^= x3;
+       x4 = swap & (a[4] ^ b[4]); a[4] ^= x4; b[4] ^= x4;
+       x5 = swap & (a[5] ^ b[5]); a[5] ^= x5; b[5] ^= x5;
+       x6 = swap & (a[6] ^ b[6]); a[6] ^= x6; b[6] ^= x6;
+       x7 = swap & (a[7] ^ b[7]); a[7] ^= x7; b[7] ^= x7;
+       x8 = swap & (a[8] ^ b[8]); a[8] ^= x8; b[8] ^= x8;
+       x9 = swap & (a[9] ^ b[9]); a[9] ^= x9; b[9] ^= x9;
+}

diff --git a/tests/ed25519-donna/curve25519-donna-helpers.h b/tests/ed25519-donna/curve25519-donna-helpers.h
new file mode 100644 (file)
index 0000000..e4058ff
--- /dev/null
+++ b/tests/ed25519-donna/curve25519-donna-helpers.h
@@ -0,0 +1,67 @@
+/*
+       Public domain by Andrew M. <liquidsun@gmail.com>
+       See: https://github.com/floodyberry/curve25519-donna
+
+       Curve25519 implementation agnostic helpers
+*/
+
+/*
+ * In:  b =   2^5 - 2^0
+ * Out: b = 2^250 - 2^0
+ */
+static void
+curve25519_pow_two5mtwo0_two250mtwo0(bignum25519 b) {
+       bignum25519 ALIGN(16) t0,c;
+
+       /* 2^5  - 2^0 */ /* b */
+       /* 2^10 - 2^5 */ curve25519_square_times(t0, b, 5);
+       /* 2^10 - 2^0 */ curve25519_mul_noinline(b, t0, b);
+       /* 2^20 - 2^10 */ curve25519_square_times(t0, b, 10);
+       /* 2^20 - 2^0 */ curve25519_mul_noinline(c, t0, b);
+       /* 2^40 - 2^20 */ curve25519_square_times(t0, c, 20);
+       /* 2^40 - 2^0 */ curve25519_mul_noinline(t0, t0, c);
+       /* 2^50 - 2^10 */ curve25519_square_times(t0, t0, 10);
+       /* 2^50 - 2^0 */ curve25519_mul_noinline(b, t0, b);
+       /* 2^100 - 2^50 */ curve25519_square_times(t0, b, 50);
+       /* 2^100 - 2^0 */ curve25519_mul_noinline(c, t0, b);
+       /* 2^200 - 2^100 */ curve25519_square_times(t0, c, 100);
+       /* 2^200 - 2^0 */ curve25519_mul_noinline(t0, t0, c);
+       /* 2^250 - 2^50 */ curve25519_square_times(t0, t0, 50);
+       /* 2^250 - 2^0 */ curve25519_mul_noinline(b, t0, b);
+}
+
+/*
+ * z^(p - 2) = z(2^255 - 21)
+ */
+static void
+curve25519_recip(bignum25519 out, const bignum25519 z) {
+       bignum25519 ALIGN(16) a,t0,b;
+
+       /* 2 */ curve25519_square_times(a, z, 1); /* a = 2 */
+       /* 8 */ curve25519_square_times(t0, a, 2);
+       /* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */
+       /* 11 */ curve25519_mul_noinline(a, b, a); /* a = 11 */
+       /* 22 */ curve25519_square_times(t0, a, 1);
+       /* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b);
+       /* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b);
+       /* 2^255 - 2^5 */ curve25519_square_times(b, b, 5);
+       /* 2^255 - 21 */ curve25519_mul_noinline(out, b, a);
+}
+
+/*
+ * z^((p-5)/8) = z^(2^252 - 3)
+ */
+static void
+curve25519_pow_two252m3(bignum25519 two252m3, const bignum25519 z) {
+       bignum25519 ALIGN(16) b,c,t0;
+
+       /* 2 */ curve25519_square_times(c, z, 1); /* c = 2 */
+       /* 8 */ curve25519_square_times(t0, c, 2); /* t0 = 8 */
+       /* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */
+       /* 11 */ curve25519_mul_noinline(c, b, c); /* c = 11 */
+       /* 22 */ curve25519_square_times(t0, c, 1);
+       /* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b);
+       /* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b);
+       /* 2^252 - 2^2 */ curve25519_square_times(b, b, 2);
+       /* 2^252 - 3 */ curve25519_mul_noinline(two252m3, b, z);
+}

diff --git a/tests/ed25519-donna/ed25519-donna-32bit-tables.h b/tests/ed25519-donna/ed25519-donna-32bit-tables.h
new file mode 100644 (file)
index 0000000..c977c26
--- /dev/null
+++ b/tests/ed25519-donna/ed25519-donna-32bit-tables.h
@@ -0,0 +1,61 @@
+static const ge25519 ALIGN(16) ge25519_basepoint = {
+       {0x0325d51a,0x018b5823,0x00f6592a,0x0104a92d,0x01a4b31d,0x01d6dc5c,0x027118fe,0x007fd814,0x013cd6e5,0x0085a4db},
+       {0x02666658,0x01999999,0x00cccccc,0x01333333,0x01999999,0x00666666,0x03333333,0x00cccccc,0x02666666,0x01999999},
+       {0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000},
+       {0x01b7dda3,0x01a2ace9,0x025eadbb,0x0003ba8a,0x0083c27e,0x00abe37d,0x01274732,0x00ccacdd,0x00fd78b7,0x019e1d7c}
+};
+
+/*
+       d
+*/
+
+static const bignum25519 ALIGN(16) ge25519_ecd = {
+       0x035978a3,0x00d37284,0x03156ebd,0x006a0a0e,0x0001c029,0x0179e898,0x03a03cbb,0x01ce7198,0x02e2b6ff,0x01480db3
+};
+
+static const bignum25519 ALIGN(16) ge25519_ec2d = {
+       0x02b2f159,0x01a6e509,0x022add7a,0x00d4141d,0x00038052,0x00f3d130,0x03407977,0x019ce331,0x01c56dff,0x00901b67
+};
+
+/*
+       sqrt(-1)
+*/
+
+static const bignum25519 ALIGN(16) ge25519_sqrtneg1 = {
+       0x020ea0b0,0x0186c9d2,0x008f189d,0x0035697f,0x00bd0c60,0x01fbd7a7,0x02804c9e,0x01e16569,0x0004fc1d,0x00ae0c92
+};
+
+static const ge25519_niels ALIGN(16) ge25519_niels_sliding_multiples[32] = {
+       {{0x0340913e,0x000e4175,0x03d673a2,0x002e8a05,0x03f4e67c,0x008f8a09,0x00c21a34,0x004cf4b8,0x01298f81,0x0113f4be},{0x018c3b85,0x0124f1bd,0x01c325f7,0x0037dc60,0x033e4cb7,0x003d42c2,0x01a44c32,0x014ca4e1,0x03a33d4b,0x001f3e74},{0x037aaa68,0x00448161,0x0093d579,0x011e6556,0x009b67a0,0x0143598c,0x01bee5ee,0x00b50b43,0x0289f0c6,0x01bc45ed}},
+       {{0x00fcd265,0x0047fa29,0x034faacc,0x01ef2e0d,0x00ef4d4f,0x014bd6bd,0x00f98d10,0x014c5026,0x007555bd,0x00aae456},{0x00ee9730,0x016c2a13,0x017155e4,0x01874432,0x00096a10,0x01016732,0x01a8014f,0x011e9823,0x01b9a80f,0x01e85938},{0x01d0d889,0x01a4cfc3,0x034c4295,0x0110e1ae,0x0162508c,0x00f2db4c,0x0072a2c6,0x0098da2e,0x02f12b9b,0x0168a09a}},
+       {{0x0047d6ba,0x0060b0e9,0x0136eff2,0x008a5939,0x03540053,0x0064a087,0x02788e5c,0x00be7c67,0x033eb1b5,0x005529f9},{0x00a5bb33,0x00af1102,0x01a05442,0x001e3af7,0x02354123,0x00bfec44,0x01f5862d,0x00dd7ba3,0x03146e20,0x00a51733},{0x012a8285,0x00f6fc60,0x023f9797,0x003e85ee,0x009c3820,0x01bda72d,0x01b3858d,0x00d35683,0x0296b3bb,0x010eaaf9}},
+       {{0x023221b1,0x01cb26aa,0x0074f74d,0x0099ddd1,0x01b28085,0x00192c3a,0x013b27c9,0x00fc13bd,0x01d2e531,0x0075bb75},{0x004ea3bf,0x00973425,0x001a4d63,0x01d59cee,0x01d1c0d4,0x00542e49,0x01294114,0x004fce36,0x029283c9,0x01186fa9},{0x01b8b3a2,0x00db7200,0x00935e30,0x003829f5,0x02cc0d7d,0x0077adf3,0x0220dd2c,0x0014ea53,0x01c6a0f9,0x01ea7eec}},
+       {{0x039d8064,0x01885f80,0x00337e6d,0x01b7a902,0x02628206,0x015eb044,0x01e30473,0x0191f2d9,0x011fadc9,0x01270169},{0x02a8632f,0x0199e2a9,0x00d8b365,0x017a8de2,0x02994279,0x0086f5b5,0x0119e4e3,0x01eb39d6,0x0338add7,0x00d2e7b4},{0x0045af1b,0x013a2fe4,0x0245e0d6,0x014538ce,0x038bfe0f,0x01d4cf16,0x037e14c9,0x0160d55e,0x0021b008,0x01cf05c8}},
+       {{0x01864348,0x01d6c092,0x0070262b,0x014bb844,0x00fb5acd,0x008deb95,0x003aaab5,0x00eff474,0x00029d5c,0x0062ad66},{0x02802ade,0x01c02122,0x01c4e5f7,0x00781181,0x039767fb,0x01703406,0x0342388b,0x01f5e227,0x022546d8,0x0109d6ab},{0x016089e9,0x00cb317f,0x00949b05,0x01099417,0x000c7ad2,0x011a8622,0x0088ccda,0x01290886,0x022b53df,0x00f71954}},
+       {{0x027fbf93,0x01c04ecc,0x01ed6a0d,0x004cdbbb,0x02bbf3af,0x00ad5968,0x01591955,0x0094f3a2,0x02d17602,0x00099e20},{0x02007f6d,0x003088a8,0x03db77ee,0x00d5ade6,0x02fe12ce,0x0107ba07,0x0107097d,0x00482a6f,0x02ec346f,0x008d3f5f},{0x032ea378,0x0028465c,0x028e2a6c,0x018efc6e,0x0090df9a,0x01a7e533,0x039bfc48,0x010c745d,0x03daa097,0x0125ee9b}},
+       {{0x028ccf0b,0x00f36191,0x021ac081,0x012154c8,0x034e0a6e,0x01b25192,0x00180403,0x01d7eea1,0x00218d05,0x010ed735},{0x03cfeaa0,0x01b300c4,0x008da499,0x0068c4e1,0x0219230a,0x01f2d4d0,0x02defd60,0x00e565b7,0x017f12de,0x018788a4},{0x03d0b516,0x009d8be6,0x03ddcbb3,0x0071b9fe,0x03ace2bd,0x01d64270,0x032d3ec9,0x01084065,0x0210ae4d,0x01447584}},
+       {{0x0020de87,0x00e19211,0x01b68102,0x00b5ac97,0x022873c0,0x01942d25,0x01271394,0x0102073f,0x02fe2482,0x01c69ff9},{0x010e9d81,0x019dbbe5,0x0089f258,0x006e06b8,0x02951883,0x018f1248,0x019b3237,0x00bc7553,0x024ddb85,0x01b4c964},{0x01c8c854,0x0060ae29,0x01406d8e,0x01cff2f9,0x00cff451,0x01778d0c,0x03ac8c41,0x01552e59,0x036559ee,0x011d1b12}},
+       {{0x00741147,0x0151b219,0x01092690,0x00e877e6,0x01f4d6bb,0x0072a332,0x01cd3b03,0x00dadff2,0x0097db5e,0x0086598d},{0x01c69a2b,0x01decf1b,0x02c2fa6e,0x013b7c4f,0x037beac8,0x013a16b5,0x028e7bda,0x01f6e8ac,0x01e34fe9,0x01726947},{0x01f10e67,0x003c73de,0x022b7ea2,0x010f32c2,0x03ff776a,0x00142277,0x01d38b88,0x00776138,0x03c60822,0x01201140}},
+       {{0x0236d175,0x0008748e,0x03c6476d,0x013f4cdc,0x02eed02a,0x00838a47,0x032e7210,0x018bcbb3,0x00858de4,0x01dc7826},{0x00a37fc7,0x0127b40b,0x01957884,0x011d30ad,0x02816683,0x016e0e23,0x00b76be4,0x012db115,0x02516506,0x0154ce62},{0x00451edf,0x00bd749e,0x03997342,0x01cc2c4c,0x00eb6975,0x01a59508,0x03a516cf,0x00c228ef,0x0168ff5a,0x01697b47}},
+       {{0x00527359,0x01783156,0x03afd75c,0x00ce56dc,0x00e4b970,0x001cabe9,0x029e0f6d,0x0188850c,0x0135fefd,0x00066d80},{0x02150e83,0x01448abf,0x02bb0232,0x012bf259,0x033c8268,0x00711e20,0x03fc148f,0x005e0e70,0x017d8bf9,0x0112b2e2},{0x02134b83,0x001a0517,0x0182c3cc,0x00792182,0x0313d799,0x001a3ed7,0x0344547e,0x01f24a0d,0x03de6ad2,0x00543127}},
+       {{0x00dca868,0x00618f27,0x015a1709,0x00ddc38a,0x0320fd13,0x0036168d,0x0371ab06,0x01783fc7,0x0391e05f,0x01e29b5d},{0x01471138,0x00fca542,0x00ca31cf,0x01ca7bad,0x0175bfbc,0x01a708ad,0x03bce212,0x01244215,0x0075bb99,0x01acad68},{0x03a0b976,0x01dc12d1,0x011aab17,0x00aba0ba,0x029806cd,0x0142f590,0x018fd8ea,0x01a01545,0x03c4ad55,0x01c971ff}},
+       {{0x00d098c0,0x000afdc7,0x006cd230,0x01276af3,0x03f905b2,0x0102994c,0x002eb8a4,0x015cfbeb,0x025f855f,0x01335518},{0x01cf99b2,0x0099c574,0x01a69c88,0x00881510,0x01cd4b54,0x0112109f,0x008abdc5,0x0074647a,0x0277cb1f,0x01e53324},{0x02ac5053,0x01b109b0,0x024b095e,0x016997b3,0x02f26bb6,0x00311021,0x00197885,0x01d0a55a,0x03b6fcc8,0x01c020d5}},
+       {{0x02584a34,0x00e7eee0,0x03257a03,0x011e95a3,0x011ead91,0x00536202,0x00b1ce24,0x008516c6,0x03669d6d,0x004ea4a8},{0x00773f01,0x0019c9ce,0x019f6171,0x01d4afde,0x02e33323,0x01ad29b6,0x02ead1dc,0x01ed51a5,0x01851ad0,0x001bbdfa},{0x00577de5,0x00ddc730,0x038b9952,0x00f281ae,0x01d50390,0x0002e071,0x000780ec,0x010d448d,0x01f8a2af,0x00f0a5b7}},
+       {{0x031f2541,0x00d34bae,0x0323ff9d,0x003a056d,0x02e25443,0x00a1ad05,0x00d1bee8,0x002f7f8e,0x03007477,0x002a24b1},{0x0114a713,0x01457e76,0x032255d5,0x01cc647f,0x02a4bdef,0x0153d730,0x00118bcf,0x00f755ff,0x013490c7,0x01ea674e},{0x02bda3e8,0x00bb490d,0x00f291ea,0x000abf40,0x01dea321,0x002f9ce0,0x00b2b193,0x00fa54b5,0x0128302f,0x00a19d8b}},
+       {{0x022ef5bd,0x01638af3,0x038c6f8a,0x01a33a3d,0x039261b2,0x01bb89b8,0x010bcf9d,0x00cf42a9,0x023d6f17,0x01da1bca},{0x00e35b25,0x000d824f,0x0152e9cf,0x00ed935d,0x020b8460,0x01c7b83f,0x00c969e5,0x01a74198,0x0046a9d9,0x00cbc768},{0x01597c6a,0x0144a99b,0x00a57551,0x0018269c,0x023c464c,0x0009b022,0x00ee39e1,0x0114c7f2,0x038a9ad2,0x01584c17}},
+       {{0x03b0c0d5,0x00b30a39,0x038a6ce4,0x01ded83a,0x01c277a6,0x01010a61,0x0346d3eb,0x018d995e,0x02f2c57c,0x000c286b},{0x0092aed1,0x0125e37b,0x027ca201,0x001a6b6b,0x03290f55,0x0047ba48,0x018d916c,0x01a59062,0x013e35d4,0x0002abb1},{0x003ad2aa,0x007ddcc0,0x00c10f76,0x0001590b,0x002cfca6,0x000ed23e,0x00ee4329,0x00900f04,0x01c24065,0x0082fa70}},
+       {{0x02025e60,0x003912b8,0x0327041c,0x017e5ee5,0x02c0ecec,0x015a0d1c,0x02b1ce7c,0x0062220b,0x0145067e,0x01a5d931},{0x009673a6,0x00e1f609,0x00927c2a,0x016faa37,0x01650ef0,0x016f63b5,0x03cd40e1,0x003bc38f,0x0361f0ac,0x01d42acc},{0x02f81037,0x008ca0e8,0x017e23d1,0x011debfe,0x01bcbb68,0x002e2563,0x03e8add6,0x000816e5,0x03fb7075,0x0153e5ac}},
+       {{0x02b11ecd,0x016bf185,0x008f22ef,0x00e7d2bb,0x0225d92e,0x00ece785,0x00508873,0x017e16f5,0x01fbe85d,0x01e39a0e},{0x01669279,0x017c810a,0x024941f5,0x0023ebeb,0x00eb7688,0x005760f1,0x02ca4146,0x0073cde7,0x0052bb75,0x00f5ffa7},{0x03b8856b,0x00cb7dcd,0x02f14e06,0x001820d0,0x01d74175,0x00e59e22,0x03fba550,0x00484641,0x03350088,0x01c3c9a3}},
+       {{0x00dcf355,0x0104481c,0x0022e464,0x01f73fe7,0x00e03325,0x0152b698,0x02ef769a,0x00973663,0x00039b8c,0x0101395b},{0x01805f47,0x019160ec,0x03832cd0,0x008b06eb,0x03d4d717,0x004cb006,0x03a75b8f,0x013b3d30,0x01cfad88,0x01f034d1},{0x0078338a,0x01c7d2e3,0x02bc2b23,0x018b3f05,0x0280d9aa,0x005f3d44,0x0220a95a,0x00eeeb97,0x0362aaec,0x00835d51}},
+       {{0x01b9f543,0x013fac4d,0x02ad93ae,0x018ef464,0x0212cdf7,0x01138ba9,0x011583ab,0x019c3d26,0x028790b4,0x00e2e2b6},{0x033bb758,0x01f0dbf1,0x03734bd1,0x0129b1e5,0x02b3950e,0x003bc922,0x01a53ec8,0x018c5532,0x006f3cee,0x00ae3c79},{0x0351f95d,0x0012a737,0x03d596b8,0x017658fe,0x00ace54a,0x008b66da,0x0036c599,0x012a63a2,0x032ceba1,0x00126bac}},
+       {{0x03dcfe7e,0x019f4f18,0x01c81aee,0x0044bc2b,0x00827165,0x014f7c13,0x03b430f0,0x00bf96cc,0x020c8d62,0x01471997},{0x01fc7931,0x001f42dd,0x00ba754a,0x005bd339,0x003fbe49,0x016b3930,0x012a159c,0x009f83b0,0x03530f67,0x01e57b85},{0x02ecbd81,0x0096c294,0x01fce4a9,0x017701a5,0x0175047d,0x00ee4a31,0x012686e5,0x008efcd4,0x0349dc54,0x01b3466f}},
+       {{0x02179ca3,0x01d86414,0x03f0afd0,0x00305964,0x015c7428,0x0099711e,0x015d5442,0x00c71014,0x01b40b2e,0x01d483cf},{0x01afc386,0x01984859,0x036203ff,0x0045c6a8,0x0020a8aa,0x00990baa,0x03313f10,0x007ceede,0x027429e4,0x017806ce},{0x039357a1,0x0142f8f4,0x0294a7b6,0x00eaccf4,0x0259edb3,0x01311e6e,0x004d326f,0x0130c346,0x01ccef3c,0x01c424b2}},
+       {{0x0364918c,0x00148fc0,0x01638a7b,0x01a1fd5b,0x028ad013,0x0081e5a4,0x01a54f33,0x0174e101,0x003d0257,0x003a856c},{0x00051dcf,0x00f62b1d,0x0143d0ad,0x0042adbd,0x000fda90,0x01743ceb,0x0173e5e4,0x017bc749,0x03b7137a,0x0105ce96},{0x00f9218a,0x015b8c7c,0x00e102f8,0x0158d7e2,0x0169a5b8,0x00b2f176,0x018b347a,0x014cfef2,0x0214a4e3,0x017f1595}},
+       {{0x006d7ae5,0x0195c371,0x0391e26d,0x0062a7c6,0x003f42ab,0x010dad86,0x024f8198,0x01542b2a,0x0014c454,0x0189c471},{0x0390988e,0x00b8799d,0x02e44912,0x0078e2e6,0x00075654,0x01923eed,0x0040cd72,0x00a37c76,0x0009d466,0x00c8531d},{0x02651770,0x00609d01,0x0286c265,0x0134513c,0x00ee9281,0x005d223c,0x035c760c,0x00679b36,0x0073ecb8,0x016faa50}},
+       {{0x02c89be4,0x016fc244,0x02f38c83,0x018beb72,0x02b3ce2c,0x0097b065,0x034f017b,0x01dd957f,0x00148f61,0x00eab357},{0x0343d2f8,0x003398fc,0x011e368e,0x00782a1f,0x00019eea,0x00117b6f,0x0128d0d1,0x01a5e6bb,0x01944f1b,0x012b41e1},{0x03318301,0x018ecd30,0x0104d0b1,0x0038398b,0x03726701,0x019da88c,0x002d9769,0x00a7a681,0x031d9028,0x00ebfc32}},
+       {{0x0220405e,0x0171face,0x02d930f8,0x017f6d6a,0x023b8c47,0x0129d5f9,0x02972456,0x00a3a524,0x006f4cd2,0x004439fa},{0x00c53505,0x0190c2fd,0x00507244,0x009930f9,0x01a39270,0x01d327c6,0x0399bc47,0x01cfe13d,0x0332bd99,0x00b33e7d},{0x0203f5e4,0x003627b5,0x00018af8,0x01478581,0x004a2218,0x002e3bb7,0x039384d0,0x0146ea62,0x020b9693,0x0017155f}},
+       {{0x03c97e6f,0x00738c47,0x03b5db1f,0x01808fcf,0x01e8fc98,0x01ed25dd,0x01bf5045,0x00eb5c2b,0x0178fe98,0x01b85530},{0x01c20eb0,0x01aeec22,0x030b9eee,0x01b7d07e,0x0187e16f,0x014421fb,0x009fa731,0x0040b6d7,0x00841861,0x00a27fbc},{0x02d69abf,0x0058cdbf,0x0129f9ec,0x013c19ae,0x026c5b93,0x013a7fe7,0x004bb2ba,0x0063226f,0x002a95ca,0x01abefd9}},
+       {{0x02f5d2c1,0x00378318,0x03734fb5,0x01258073,0x0263f0f6,0x01ad70e0,0x01b56d06,0x01188fbd,0x011b9503,0x0036d2e1},{0x0113a8cc,0x01541c3e,0x02ac2bbc,0x01d95867,0x01f47459,0x00ead489,0x00ab5b48,0x01db3b45,0x00edb801,0x004b024f},{0x00b8190f,0x011fe4c2,0x00621f82,0x010508d7,0x001a5a76,0x00c7d7fd,0x03aab96d,0x019cd9dc,0x019c6635,0x00ceaa1e}},
+       {{0x01085cf2,0x01fd47af,0x03e3f5e1,0x004b3e99,0x01e3d46a,0x0060033c,0x015ff0a8,0x0150cdd8,0x029e8e21,0x008cf1bc},{0x00156cb1,0x003d623f,0x01a4f069,0x00d8d053,0x01b68aea,0x01ca5ab6,0x0316ae43,0x0134dc44,0x001c8d58,0x0084b343},{0x0318c781,0x0135441f,0x03a51a5e,0x019293f4,0x0048bb37,0x013d3341,0x0143151e,0x019c74e1,0x00911914,0x0076ddde}},
+       {{0x006bc26f,0x00d48e5f,0x00227bbe,0x00629ea8,0x01ea5f8b,0x0179a330,0x027a1d5f,0x01bf8f8e,0x02d26e2a,0x00c6b65e},{0x01701ab6,0x0051da77,0x01b4b667,0x00a0ce7c,0x038ae37b,0x012ac852,0x03a0b0fe,0x0097c2bb,0x00a017d2,0x01eb8b2a},{0x0120b962,0x0005fb42,0x0353b6fd,0x0061f8ce,0x007a1463,0x01560a64,0x00e0a792,0x01907c92,0x013a6622,0x007b47f1}}
+};

diff --git a/tests/ed25519-donna/ed25519-donna-basepoint-table.h b/tests/ed25519-donna/ed25519-donna-basepoint-table.h
new file mode 100644 (file)
index 0000000..41dcd52
--- /dev/null
+++ b/tests/ed25519-donna/ed25519-donna-basepoint-table.h
@@ -0,0 +1,259 @@
+/* multiples of the base point in packed {ysubx, xaddy, t2d} form */
+static const uint8_t ALIGN(16) ge25519_niels_base_multiples[256][96] = {
+       {0x3e,0x91,0x40,0xd7,0x05,0x39,0x10,0x9d,0xb3,0xbe,0x40,0xd1,0x05,0x9f,0x39,0xfd,0x09,0x8a,0x8f,0x68,0x34,0x84,0xc1,0xa5,0x67,0x12,0xf8,0x98,0x92,0x2f,0xfd,0x44,0x85,0x3b,0x8c,0xf5,0xc6,0x93,0xbc,0x2f,0x19,0x0e,0x8c,0xfb,0xc6,0x2d,0x93,0xcf,0xc2,0x42,0x3d,0x64,0x98,0x48,0x0b,0x27,0x65,0xba,0xd4,0x33,0x3a,0x9d,0xcf,0x07,0x59,0xbb,0x6f,0x4b,0x67,0x15,0xbd,0xdb,0xea,0xa5,0xa2,0xee,0x00,0x3f,0xe1,0x41,0xfa,0xc6,0x57,0xc9,0x1c,0x9d,0xd4,0xcd,0xca,0xec,0x16,0xaf,0x1f,0xbe,0x0e,0x4f},
+       {0xa8,0xd5,0xb4,0x42,0x60,0xa5,0x99,0x8a,0xf6,0xac,0x60,0x4e,0x0c,0x81,0x2b,0x8f,0xaa,0x37,0x6e,0xb1,0x6b,0x23,0x9e,0xe0,0x55,0x25,0xc9,0x69,0xa6,0x95,0xb5,0x6b,0xd7,0x71,0x3c,0x93,0xfc,0xe7,0x24,0x92,0xb5,0xf5,0x0f,0x7a,0x96,0x9d,0x46,0x9f,0x02,0x07,0xd6,0xe1,0x65,0x9a,0xa6,0x5a,0x2e,0x2e,0x7d,0xa8,0x3f,0x06,0x0c,0x59,0x02,0x68,0xd3,0xda,0xaa,0x7e,0x34,0x6e,0x05,0x48,0xee,0x83,0x93,0x59,0xf3,0xba,0x26,0x68,0x07,0xe6,0x10,0xbe,0xca,0x3b,0xb8,0xd1,0x5e,0x16,0x0a,0x4f,0x31,0x49},
+       {0x65,0xd2,0xfc,0xa4,0xe8,0x1f,0x61,0x56,0x7d,0xba,0xc1,0xe5,0xfd,0x53,0xd3,0x3b,0xbd,0xd6,0x4b,0x21,0x1a,0xf3,0x31,0x81,0x62,0xda,0x5b,0x55,0x87,0x15,0xb9,0x2a,0x30,0x97,0xee,0x4c,0xa8,0xb0,0x25,0xaf,0x8a,0x4b,0x86,0xe8,0x30,0x84,0x5a,0x02,0x32,0x67,0x01,0x9f,0x02,0x50,0x1b,0xc1,0xf4,0xf8,0x80,0x9a,0x1b,0x4e,0x16,0x7a,0x34,0x48,0x67,0xf1,0xf4,0x11,0xf2,0x9b,0x95,0xf8,0x2d,0xf6,0x17,0x6b,0x4e,0xb8,0x4e,0x2a,0x72,0x5b,0x07,0x6f,0xde,0xd7,0x21,0x2a,0xbb,0x63,0xb9,0x04,0x9a,0x54},
+       {0xbf,0x18,0x68,0x05,0x0a,0x05,0xfe,0x95,0xa9,0xfa,0x60,0x56,0x71,0x89,0x7e,0x32,0x73,0x50,0xa0,0x06,0xcd,0xe3,0xe8,0xc3,0x9a,0xa4,0x45,0x74,0x4c,0x3f,0x93,0x27,0x9f,0x09,0xfc,0x8e,0xb9,0x51,0x73,0x28,0x38,0x25,0xfd,0x7d,0xf4,0xc6,0x65,0x67,0x65,0x92,0x0a,0xfb,0x3d,0x8d,0x34,0xca,0x27,0x87,0xe5,0x21,0x03,0x91,0x0e,0x68,0xb0,0x26,0x14,0xe5,0xec,0x45,0x1e,0xbf,0x94,0x0f,0xba,0x6d,0x3d,0xc6,0x2b,0xe3,0xc0,0x52,0xf8,0x8c,0xd5,0x74,0x29,0xe4,0x18,0x4c,0xe6,0xb0,0xb1,0x79,0xf0,0x44},
+       {0xba,0xd6,0x47,0xa4,0xc3,0x82,0x91,0x7f,0xb7,0x29,0x27,0x4b,0xd1,0x14,0x00,0xd5,0x87,0xa0,0x64,0xb8,0x1c,0xf1,0x3c,0xe3,0xf3,0x55,0x1b,0xeb,0x73,0x7e,0x4a,0x15,0x33,0xbb,0xa5,0x08,0x44,0xbc,0x12,0xa2,0x02,0xed,0x5e,0xc7,0xc3,0x48,0x50,0x8d,0x44,0xec,0xbf,0x5a,0x0c,0xeb,0x1b,0xdd,0xeb,0x06,0xe2,0x46,0xf1,0xcc,0x45,0x29,0xb3,0x03,0xd0,0xe7,0x79,0xa1,0x32,0xc8,0x7e,0x4d,0x12,0x00,0x0a,0x9d,0x72,0x5f,0xf3,0x8f,0x6d,0x0e,0xa1,0xd4,0xc1,0x62,0x98,0x7a,0xb2,0x38,0x59,0xac,0xb8,0x68},
+       {0xa4,0x8c,0x7d,0x7b,0xb6,0x06,0x98,0x49,0x39,0x27,0xd2,0x27,0x84,0xe2,0x5b,0x57,0xb9,0x53,0x45,0x20,0xe7,0x5c,0x08,0xbb,0x84,0x78,0x41,0xae,0x41,0x4c,0xb6,0x38,0x31,0x71,0x15,0x77,0xeb,0xee,0x0c,0x3a,0x88,0xaf,0xc8,0x00,0x89,0x15,0x27,0x9b,0x36,0xa7,0x59,0xda,0x68,0xb6,0x65,0x80,0xbd,0x38,0xcc,0xa2,0xb6,0x7b,0xe5,0x51,0xa4,0xe3,0x9d,0x68,0x91,0xad,0x9d,0x8f,0x37,0x91,0xfb,0xf8,0x28,0x24,0x5f,0x17,0x88,0xb9,0xcf,0x9f,0x32,0xb5,0x0a,0x05,0x9f,0xc0,0x54,0x13,0xa2,0xdf,0x65,0x78},
+       {0xb1,0x21,0x32,0xaa,0x9a,0x2c,0x6f,0xba,0xa7,0x23,0xba,0x3b,0x53,0x21,0xa0,0x6c,0x3a,0x2c,0x19,0x92,0x4f,0x76,0xea,0x9d,0xe0,0x17,0x53,0x2e,0x5d,0xdd,0x6e,0x1d,0xbf,0xa3,0x4e,0x94,0xd0,0x5c,0x1a,0x6b,0xd2,0xc0,0x9d,0xb3,0x3a,0x35,0x70,0x74,0x49,0x2e,0x54,0x28,0x82,0x52,0xb2,0x71,0x7e,0x92,0x3c,0x28,0x69,0xea,0x1b,0x46,0x36,0xda,0x0f,0xab,0xac,0x8a,0x7a,0x21,0xc8,0x49,0x35,0x3d,0x54,0xc6,0x28,0xa5,0x68,0x75,0xab,0x13,0x8b,0x5b,0xd0,0x37,0x37,0xbc,0x2c,0x3a,0x62,0xef,0x3c,0x23},
+       {0xd9,0x34,0x92,0xf3,0xed,0x5d,0xa7,0xe2,0xf9,0x58,0xb5,0xe1,0x80,0x76,0x3d,0x96,0xfb,0x23,0x3c,0x6e,0xac,0x41,0x27,0x2c,0xc3,0x01,0x0e,0x32,0xa1,0x24,0x90,0x3a,0x8f,0x3e,0xdd,0x04,0x66,0x59,0xb7,0x59,0x2c,0x70,0x88,0xe2,0x77,0x03,0xb3,0x6c,0x23,0xc3,0xd9,0x5e,0x66,0x9c,0x33,0xb1,0x2f,0xe5,0xbc,0x61,0x60,0xe7,0x15,0x09,0x7e,0xa3,0x34,0xa8,0x35,0xe8,0x7d,0xdf,0xea,0x57,0x98,0x68,0xda,0x9c,0xe1,0x8b,0x26,0xb3,0x67,0x71,0x36,0x85,0x11,0x2c,0xc2,0xd5,0xef,0xdb,0xd9,0xb3,0x9e,0x58},
+       {0x5e,0x51,0xaa,0x49,0x54,0x63,0x5b,0xed,0x3a,0x82,0xc6,0x0b,0x9f,0xc4,0x65,0xa8,0xc4,0xd1,0x42,0x5b,0xe9,0x1f,0x0c,0x85,0xb9,0x15,0xd3,0x03,0x6f,0x6d,0xd7,0x30,0x1d,0x9c,0x2f,0x63,0x0e,0xdd,0xcc,0x2e,0x15,0x31,0x89,0x76,0x96,0xb6,0xd0,0x51,0x58,0x7a,0x63,0xa8,0x6b,0xb7,0xdf,0x52,0x39,0xef,0x0e,0xa0,0x49,0x7d,0xd3,0x6d,0xc7,0xe4,0x06,0x21,0x17,0x44,0x44,0x6c,0x69,0x7f,0x8d,0x92,0x80,0xd6,0x53,0xfb,0x26,0x3f,0x4d,0x69,0xa4,0x9e,0x73,0xb4,0xb0,0x4b,0x86,0x2e,0x11,0x97,0xc6,0x10},
+       {0xde,0x5f,0xbe,0x7d,0x27,0xc4,0x93,0x64,0xa2,0x7e,0xad,0x19,0xad,0x4f,0x5d,0x26,0x90,0x45,0x30,0x46,0xc8,0xdf,0x00,0x0e,0x09,0xfe,0x66,0xed,0xab,0x1c,0xe6,0x25,0x05,0xc8,0x58,0x83,0xa0,0x2a,0xa6,0x0c,0x47,0x42,0x20,0x7a,0xe3,0x4a,0x3d,0x6a,0xdc,0xed,0x11,0x3b,0xa6,0xd3,0x64,0x74,0xef,0x06,0x08,0x55,0xaf,0x9b,0xbf,0x03,0x04,0x66,0x58,0xcc,0x28,0xe1,0x13,0x3f,0x7e,0x74,0x59,0xb4,0xec,0x73,0x58,0x6f,0xf5,0x68,0x12,0xcc,0xed,0x3d,0xb6,0xa0,0x2c,0xe2,0x86,0x45,0x63,0x78,0x6d,0x56},
+       {0x34,0x08,0xc1,0x9c,0x9f,0xa4,0x37,0x16,0x51,0xc4,0x9b,0xa8,0xd5,0x56,0x8e,0xbc,0xdb,0xd2,0x7f,0x7f,0x0f,0xec,0xb5,0x1c,0xd9,0x35,0xcc,0x5e,0xca,0x5b,0x97,0x33,0xd0,0x2f,0x5a,0xc6,0x85,0x42,0x05,0xa1,0xc3,0x67,0x16,0xf3,0x2a,0x11,0x64,0x6c,0x58,0xee,0x1a,0x73,0x40,0xe2,0x0a,0x68,0x2a,0xb2,0x93,0x47,0xf3,0xa5,0xfb,0x14,0xd4,0xf7,0x85,0x69,0x16,0x46,0xd7,0x3c,0x57,0x00,0xc8,0xc9,0x84,0x5e,0x3e,0x59,0x1e,0x13,0x61,0x7b,0xb6,0xf2,0xc3,0x2f,0x6c,0x52,0xfc,0x83,0xea,0x9c,0x82,0x14},
+       {0xc2,0x95,0xdd,0x97,0x84,0x7b,0x43,0xff,0xa7,0xb5,0x4e,0xaa,0x30,0x4e,0x74,0x6c,0x8b,0xe8,0x85,0x3c,0x61,0x5d,0x0c,0x9e,0x73,0x81,0x75,0x5f,0x1e,0xc7,0xd9,0x2f,0xb8,0xec,0x71,0x4e,0x2f,0x0b,0xe7,0x21,0xe3,0x77,0xa4,0x40,0xb9,0xdd,0x56,0xe6,0x80,0x4f,0x1d,0xce,0xce,0x56,0x65,0xbf,0x7e,0x7b,0x5d,0x53,0xc4,0x3b,0xfc,0x05,0xdd,0xde,0xaf,0x52,0xae,0xb3,0xb8,0x24,0xcf,0x30,0x3b,0xed,0x8c,0x63,0x95,0x34,0x95,0x81,0xbe,0xa9,0x83,0xbc,0xa4,0x33,0x04,0x1f,0x65,0x5c,0x47,0x67,0x37,0x37},
+       {0xd9,0xad,0xd1,0x40,0xfd,0x99,0xba,0x2f,0x27,0xd0,0xf4,0x96,0x6f,0x16,0x07,0xb3,0xae,0x3b,0xf0,0x15,0x52,0xf0,0x63,0x43,0x99,0xf9,0x18,0x3b,0x6c,0xa5,0xbe,0x1f,0x90,0x65,0x24,0x14,0xcb,0x95,0x40,0x63,0x35,0x55,0xc1,0x16,0x40,0x14,0x12,0xef,0x60,0xbc,0x10,0x89,0x0c,0x14,0x38,0x9e,0x8c,0x7c,0x90,0x30,0x57,0x90,0xf5,0x6b,0x8a,0x5b,0x41,0xe1,0xf1,0x78,0xa7,0x0f,0x7e,0xa7,0xc3,0xba,0xf7,0x9f,0x40,0x06,0x50,0x9a,0xa2,0x9a,0xb8,0xd7,0x52,0x6f,0x56,0x5a,0x63,0x7a,0xf6,0x1c,0x52,0x02},
+       {0x94,0x52,0x9d,0x0a,0x0b,0xee,0x3f,0x51,0x66,0x5a,0xdf,0x0f,0x5c,0xe7,0x98,0x8f,0xce,0x07,0xe1,0xbf,0x88,0x86,0x61,0xd4,0xed,0x2c,0x38,0x71,0x7e,0x0a,0xa0,0x3f,0xe4,0x5e,0x2f,0x77,0x20,0x67,0x14,0xb1,0xce,0x9a,0x07,0x96,0xb1,0x94,0xf8,0xe8,0x4a,0x82,0xac,0x00,0x4d,0x22,0xf8,0x4a,0xc4,0x6c,0xcd,0xf7,0xd9,0x53,0x17,0x00,0x34,0xdb,0x3d,0x96,0x2d,0x23,0x69,0x3c,0x58,0x38,0x97,0xb4,0xda,0x87,0xde,0x1d,0x85,0xf2,0x91,0xa0,0xf9,0xd1,0xd7,0xaa,0xb6,0xed,0x48,0xa0,0x2f,0xfe,0xb5,0x12},
+       {0x4d,0xe3,0xfc,0x96,0xc4,0xfb,0xf0,0x71,0xed,0x5b,0xf3,0xad,0x6b,0x82,0xb9,0x73,0x61,0xc5,0x28,0xff,0x61,0x72,0x04,0xd2,0x6f,0x20,0xb1,0x6f,0xf9,0x76,0x9b,0x74,0x92,0x1e,0x6f,0xad,0x26,0x7c,0x2b,0xdf,0x13,0x89,0x4b,0x50,0x23,0xd3,0x66,0x4b,0xc3,0x8b,0x1c,0x75,0xc0,0x9d,0x40,0x8c,0xb8,0xc7,0x96,0x07,0xc2,0x93,0x7e,0x6f,0x05,0xae,0xa6,0xae,0x04,0xf6,0x5a,0x1f,0x99,0x9c,0xe4,0xbe,0xf1,0x51,0x23,0xc1,0x66,0x6b,0xff,0xee,0xb5,0x08,0xa8,0x61,0x51,0x21,0xe0,0x01,0x0f,0xc1,0xce,0x0f},
+       {0x44,0x1e,0xfe,0x49,0xa6,0x58,0x4d,0x64,0x7e,0x77,0xad,0x31,0xa2,0xae,0xfc,0x21,0xd2,0xd0,0x7f,0x88,0x5a,0x1c,0x44,0x02,0xf3,0x11,0xc5,0x83,0x71,0xaa,0x01,0x49,0x45,0x4e,0x24,0xc4,0x9d,0xd2,0xf2,0x3d,0x0a,0xde,0xd8,0x93,0x74,0x0e,0x02,0x2b,0x4d,0x21,0x0c,0x82,0x7e,0x06,0xc8,0x6c,0x0a,0xb9,0xea,0x6f,0x16,0x79,0x37,0x41,0xf0,0xf8,0x1a,0x8c,0x54,0xb7,0xb1,0x08,0xb4,0x99,0x62,0x24,0x7c,0x7a,0x0f,0xce,0x39,0xd9,0x06,0x1e,0xf9,0xb0,0x60,0xf7,0x13,0x12,0x6d,0x72,0x7b,0x88,0xbb,0x41},
+       {0xbe,0x46,0x43,0x74,0x44,0x7d,0xe8,0x40,0x25,0x2b,0xb5,0x15,0xd4,0xda,0x48,0x1d,0x3e,0x60,0x3b,0xa1,0x18,0x8a,0x3a,0x7c,0xf7,0xbd,0xcd,0x2f,0xc1,0x28,0xb7,0x4e,0xae,0x91,0x66,0x7c,0x59,0x4c,0x23,0x7e,0xc8,0xb4,0x85,0x0a,0x3d,0x9d,0x88,0x64,0xe7,0xfa,0x4a,0x35,0x0c,0xc9,0xe2,0xda,0x1d,0x9e,0x6a,0x0c,0x07,0x1e,0x87,0x0a,0x89,0x89,0xbc,0x4b,0x99,0xb5,0x01,0x33,0x60,0x42,0xdd,0x5b,0x3a,0xae,0x6b,0x73,0x3c,0x9e,0xd5,0x19,0xe2,0xad,0x61,0x0d,0x64,0xd4,0x85,0x26,0x0f,0x30,0xe7,0x3e},
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+       {0x97,0x63,0xaa,0x04,0xe1,0xbf,0x29,0x61,0xcb,0xfc,0xa7,0xa4,0x08,0x00,0x96,0x8f,0x58,0x94,0x90,0x7d,0x89,0xc0,0x8b,0x3f,0xa9,0x91,0xb2,0xdc,0x3e,0xa4,0x9f,0x70,0x90,0x27,0x02,0xfd,0xeb,0xcb,0x2a,0x88,0x60,0x57,0x11,0xc4,0x05,0x33,0xaf,0x89,0xf4,0x73,0x34,0x7d,0xe3,0x92,0xf4,0x65,0x2b,0x5a,0x51,0x54,0xdf,0xc5,0xb2,0x2c,0xca,0x2a,0xfd,0x63,0x8c,0x5d,0x0a,0xeb,0xff,0x4e,0x69,0x2e,0x66,0xc1,0x2b,0xd2,0x3a,0xb0,0xcb,0xf8,0x6e,0xf3,0x23,0x27,0x1f,0x13,0xc8,0xf0,0xec,0x29,0xf0,0x70},
+       {0x33,0x3e,0xed,0x2e,0xb3,0x07,0x13,0x46,0xe7,0x81,0x55,0xa4,0x33,0x2f,0x04,0xae,0x66,0x03,0x5f,0x19,0xd3,0x49,0x44,0xc9,0x58,0x48,0x31,0x6c,0x8a,0x5d,0x7d,0x0b,0xb9,0xb0,0x10,0x5e,0xaa,0xaf,0x6a,0x2a,0xa9,0x1a,0x04,0xef,0x70,0xa3,0xf0,0x78,0x1f,0xd6,0x3a,0xaa,0x77,0xfb,0x3e,0x77,0xe1,0xd9,0x4b,0xa7,0xa2,0xa5,0xec,0x44,0x43,0xd5,0x95,0x7b,0x32,0x48,0xd4,0x25,0x1d,0x0f,0x34,0xa3,0x00,0x83,0xd3,0x70,0x2b,0xc5,0xe1,0x60,0x1c,0x53,0x1c,0xde,0xe4,0xe9,0x7d,0x2c,0x51,0x24,0x22,0x27},
+       {0x2e,0x34,0xc5,0x49,0xaf,0x92,0xbc,0x1a,0xd0,0xfa,0xe6,0xb2,0x11,0xd8,0xee,0xff,0x29,0x4e,0xc8,0xfc,0x8d,0x8c,0xa2,0xef,0x43,0xc5,0x4c,0xa4,0x18,0xdf,0xb5,0x11,0xfc,0x75,0xa9,0x42,0x8a,0xbb,0x7b,0xbf,0x58,0xa3,0xad,0x96,0x77,0x39,0x5c,0x8c,0x48,0xaa,0xed,0xcd,0x6f,0xc7,0x7f,0xe2,0xa6,0x20,0xbc,0xf6,0xd7,0x5f,0x73,0x19,0x66,0x42,0xc8,0x42,0xd0,0x90,0xab,0xe3,0x7e,0x54,0x19,0x7f,0x0f,0x8e,0x84,0xeb,0xb9,0x97,0xa4,0x65,0xd0,0xa1,0x03,0x25,0x5f,0x89,0xdf,0x91,0x11,0x91,0xef,0x0f}
+};

diff --git a/tests/ed25519-donna/ed25519-donna-batchverify.h b/tests/ed25519-donna/ed25519-donna-batchverify.h
new file mode 100644 (file)
index 0000000..43c4923
--- /dev/null
+++ b/tests/ed25519-donna/ed25519-donna-batchverify.h
@@ -0,0 +1,275 @@
+/*
+       Ed25519 batch verification
+*/
+
+#define max_batch_size 64
+#define heap_batch_size ((max_batch_size * 2) + 1)
+
+/* which limb is the 128th bit in? */
+static const size_t limb128bits = (128 + bignum256modm_bits_per_limb - 1) / bignum256modm_bits_per_limb;
+
+typedef size_t heap_index_t;
+
+typedef struct batch_heap_t {
+       unsigned char r[heap_batch_size][16]; /* 128 bit random values */
+       ge25519 points[heap_batch_size];
+       bignum256modm scalars[heap_batch_size];
+       heap_index_t heap[heap_batch_size];
+       size_t size;
+} batch_heap;
+
+/* swap two values in the heap */
+static void
+heap_swap(heap_index_t *heap, size_t a, size_t b) {
+       heap_index_t temp;
+       temp = heap[a];
+       heap[a] = heap[b];
+       heap[b] = temp;
+}
+
+/* add the scalar at the end of the list to the heap */
+static void
+heap_insert_next(batch_heap *heap) {
+       size_t node = heap->size, parent;
+       heap_index_t *pheap = heap->heap;
+       bignum256modm *scalars = heap->scalars;
+
+       /* insert at the bottom */
+       pheap[node] = (heap_index_t)node;
+
+       /* sift node up to its sorted spot */
+       parent = (node - 1) / 2;
+       while (node && lt256_modm_batch(scalars[pheap[parent]], scalars[pheap[node]], bignum256modm_limb_size - 1)) {
+               heap_swap(pheap, parent, node);
+               node = parent;
+               parent = (node - 1) / 2;
+       }
+       heap->size++;
+}
+
+/* update the heap when the root element is updated */
+static void
+heap_updated_root(batch_heap *heap, size_t limbsize) {
+       size_t node, parent, childr, childl;
+       heap_index_t *pheap = heap->heap;
+       bignum256modm *scalars = heap->scalars;
+
+       /* sift root to the bottom */
+       parent = 0;
+       node = 1;
+       childl = 1;
+       childr = 2;
+       while ((childr < heap->size)) {
+               node = lt256_modm_batch(scalars[pheap[childl]], scalars[pheap[childr]], limbsize) ? childr : childl;
+               heap_swap(pheap, parent, node);
+               parent = node;
+               childl = (parent * 2) + 1;
+               childr = childl + 1;
+       }
+
+       /* sift root back up to its sorted spot */
+       parent = (node - 1) / 2;
+       while (node && lte256_modm_batch(scalars[pheap[parent]], scalars[pheap[node]], limbsize)) {
+               heap_swap(pheap, parent, node);
+               node = parent;
+               parent = (node - 1) / 2;
+       }
+}
+
+/* build the heap with count elements, count must be >= 3 */
+static void
+heap_build(batch_heap *heap, size_t count) {
+       heap->heap[0] = 0;
+       heap->size = 0;
+       while (heap->size < count)
+               heap_insert_next(heap);
+}
+
+/* extend the heap to contain new_count elements */
+static void
+heap_extend(batch_heap *heap, size_t new_count) {
+       while (heap->size < new_count)
+               heap_insert_next(heap);
+}
+
+/* get the top 2 elements of the heap */
+static void
+heap_get_top2(batch_heap *heap, heap_index_t *max1, heap_index_t *max2, size_t limbsize) {
+       heap_index_t h0 = heap->heap[0], h1 = heap->heap[1], h2 = heap->heap[2];
+       if (lt256_modm_batch(heap->scalars[h1], heap->scalars[h2], limbsize))
+               h1 = h2;
+       *max1 = h0;
+       *max2 = h1;
+}
+
+/* */
+static void
+ge25519_multi_scalarmult_vartime_final(ge25519 *r, ge25519 *point, bignum256modm scalar) {
+       const bignum256modm_element_t topbit = ((bignum256modm_element_t)1 << (bignum256modm_bits_per_limb - 1));
+       size_t limb = limb128bits;
+       bignum256modm_element_t flag;
+
+       if (isone256_modm_batch(scalar)) {
+               /* this will happen most of the time after bos-carter */
+               *r = *point;
+               return;
+       } else if (iszero256_modm_batch(scalar)) {
+               /* this will only happen if all scalars == 0 */
+               memset(r, 0, sizeof(*r));
+               r->y[0] = 1;
+               r->z[0] = 1;
+               return;
+       }
+
+       *r = *point;
+
+       /* find the limb where first bit is set */
+       while (!scalar[limb])
+               limb--;
+
+       /* find the first bit */
+       flag = topbit;
+       while ((scalar[limb] & flag) == 0)
+               flag >>= 1;
+
+       /* exponentiate */
+       for (;;) {
+               ge25519_double(r, r);
+               if (scalar[limb] & flag)
+                       ge25519_add(r, r, point);
+
+               flag >>= 1;
+               if (!flag) {
+                       if (!limb--)
+                               break;
+                       flag = topbit;
+               }
+       }
+}
+
+/* count must be >= 5 */
+static void
+ge25519_multi_scalarmult_vartime(ge25519 *r, batch_heap *heap, size_t count) {
+       heap_index_t max1, max2;
+
+       /* start with the full limb size */
+       size_t limbsize = bignum256modm_limb_size - 1;
+
+       /* whether the heap has been extended to include the 128 bit scalars */
+       int extended = 0;
+
+       /* grab an odd number of scalars to build the heap, unknown limb sizes */
+       heap_build(heap, ((count + 1) / 2) | 1);
+
+       for (;;) {
+               heap_get_top2(heap, &max1, &max2, limbsize);
+
+               /* only one scalar remaining, we're done */
+               if (iszero256_modm_batch(heap->scalars[max2]))
+                       break;
+
+               /* exhausted another limb? */
+               if (!heap->scalars[max1][limbsize])
+                       limbsize -= 1;
+
+               /* can we extend to the 128 bit scalars? */
+               if (!extended && isatmost128bits256_modm_batch(heap->scalars[max1])) {
+                       heap_extend(heap, count);
+                       heap_get_top2(heap, &max1, &max2, limbsize);
+                       extended = 1;
+               }
+
+               sub256_modm_batch(heap->scalars[max1], heap->scalars[max1], heap->scalars[max2], limbsize);
+               ge25519_add(&heap->points[max2], &heap->points[max2], &heap->points[max1]);
+               heap_updated_root(heap, limbsize);
+       }
+
+       ge25519_multi_scalarmult_vartime_final(r, &heap->points[max1], heap->scalars[max1]);
+}
+
+/* not actually used for anything other than testing */
+unsigned char batch_point_buffer[3][32];
+
+static int
+ge25519_is_neutral_vartime(const ge25519 *p) {
+       static const unsigned char zero[32] = {0};
+       unsigned char point_buffer[3][32];
+       curve25519_contract(point_buffer[0], p->x);
+       curve25519_contract(point_buffer[1], p->y);
+       curve25519_contract(point_buffer[2], p->z);
+       memcpy(batch_point_buffer[1], point_buffer[1], 32);
+       return (memcmp(point_buffer[0], zero, 32) == 0) && (memcmp(point_buffer[1], point_buffer[2], 32) == 0);
+}
+
+int
+ED25519_FN(ed25519_sign_open_batch) (const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid) {
+       batch_heap ALIGN(16) batch;
+       ge25519 ALIGN(16) p;
+       bignum256modm *r_scalars;
+       size_t i, batchsize;
+       unsigned char hram[64];
+       int ret = 0;
+
+       for (i = 0; i < num; i++)
+               valid[i] = 1;
+
+       while (num > 3) {
+               batchsize = (num > max_batch_size) ? max_batch_size : num;
+
+               /* generate r (scalars[batchsize+1]..scalars[2*batchsize] */
+               ED25519_FN(ed25519_randombytes_unsafe) (batch.r, batchsize * 16);
+               r_scalars = &batch.scalars[batchsize + 1];
+               for (i = 0; i < batchsize; i++)
+                       expand256_modm(r_scalars[i], batch.r[i], 16);
+
+               /* compute scalars[0] = ((r1s1 + r2s2 + ...)) */
+               for (i = 0; i < batchsize; i++) {
+                       expand256_modm(batch.scalars[i], RS[i] + 32, 32);
+                       mul256_modm(batch.scalars[i], batch.scalars[i], r_scalars[i]);
+               }
+               for (i = 1; i < batchsize; i++)
+                       add256_modm(batch.scalars[0], batch.scalars[0], batch.scalars[i]);
+
+               /* compute scalars[1]..scalars[batchsize] as r[i]*H(R[i],A[i],m[i]) */
+               for (i = 0; i < batchsize; i++) {
+                       ed25519_hram(hram, RS[i], pk[i], m[i], mlen[i]);
+                       expand256_modm(batch.scalars[i+1], hram, 64);
+                       mul256_modm(batch.scalars[i+1], batch.scalars[i+1], r_scalars[i]);
+               }
+
+               /* compute points */
+               batch.points[0] = ge25519_basepoint;
+               for (i = 0; i < batchsize; i++)
+                       if (!ge25519_unpack_negative_vartime(&batch.points[i+1], pk[i]))
+                               goto fallback;
+               for (i = 0; i < batchsize; i++)
+                       if (!ge25519_unpack_negative_vartime(&batch.points[batchsize+i+1], RS[i]))
+                               goto fallback;
+
+               ge25519_multi_scalarmult_vartime(&p, &batch, (batchsize * 2) + 1);
+               if (!ge25519_is_neutral_vartime(&p)) {
+                       ret |= 2;
+
+                       fallback:
+                       for (i = 0; i < batchsize; i++) {
+                               valid[i] = ED25519_FN(ed25519_sign_open) (m[i], mlen[i], pk[i], RS[i]) ? 0 : 1;
+                               ret |= (valid[i] ^ 1);
+                       }
+               }
+
+               m += batchsize;
+               mlen += batchsize;
+               pk += batchsize;
+               RS += batchsize;
+               num -= batchsize;
+               valid += batchsize;
+       }
+
+       for (i = 0; i < num; i++) {
+               valid[i] = ED25519_FN(ed25519_sign_open) (m[i], mlen[i], pk[i], RS[i]) ? 0 : 1;
+               ret |= (valid[i] ^ 1);
+       }
+
+       return ret;
+}
+

diff --git a/tests/ed25519-donna/ed25519-donna-impl-base.h b/tests/ed25519-donna/ed25519-donna-impl-base.h
new file mode 100644 (file)
index 0000000..48913ed
--- /dev/null
+++ b/tests/ed25519-donna/ed25519-donna-impl-base.h
@@ -0,0 +1,364 @@
+/*
+       conversions
+*/
+
+DONNA_INLINE static void
+ge25519_p1p1_to_partial(ge25519 *r, const ge25519_p1p1 *p) {
+       curve25519_mul(r->x, p->x, p->t);
+       curve25519_mul(r->y, p->y, p->z);
+       curve25519_mul(r->z, p->z, p->t); 
+}
+
+DONNA_INLINE static void
+ge25519_p1p1_to_full(ge25519 *r, const ge25519_p1p1 *p) {
+       curve25519_mul(r->x, p->x, p->t);
+       curve25519_mul(r->y, p->y, p->z);
+       curve25519_mul(r->z, p->z, p->t); 
+       curve25519_mul(r->t, p->x, p->y); 
+}
+
+static void
+ge25519_full_to_pniels(ge25519_pniels *p, const ge25519 *r) {
+       curve25519_sub(p->ysubx, r->y, r->x);
+       curve25519_add(p->xaddy, r->y, r->x);
+       curve25519_copy(p->z, r->z);
+       curve25519_mul(p->t2d, r->t, ge25519_ec2d);
+}
+
+/*
+       adding & doubling
+*/
+
+static void
+ge25519_add_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519 *q) {
+       bignum25519 a,b,c,d,t,u;
+
+       curve25519_sub(a, p->y, p->x);
+       curve25519_add(b, p->y, p->x);
+       curve25519_sub(t, q->y, q->x);
+       curve25519_add(u, q->y, q->x);
+       curve25519_mul(a, a, t);
+       curve25519_mul(b, b, u);
+       curve25519_mul(c, p->t, q->t);
+       curve25519_mul(c, c, ge25519_ec2d);
+       curve25519_mul(d, p->z, q->z);
+       curve25519_add(d, d, d);
+       curve25519_sub(r->x, b, a);
+       curve25519_add(r->y, b, a);
+       curve25519_add_after_basic(r->z, d, c);
+       curve25519_sub_after_basic(r->t, d, c);
+}
+
+
+static void
+ge25519_double_p1p1(ge25519_p1p1 *r, const ge25519 *p) {
+       bignum25519 a,b,c;
+
+       curve25519_square(a, p->x);
+       curve25519_square(b, p->y);
+       curve25519_square(c, p->z);
+       curve25519_add_reduce(c, c, c);
+       curve25519_add(r->x, p->x, p->y);
+       curve25519_square(r->x, r->x);
+       curve25519_add(r->y, b, a);
+       curve25519_sub(r->z, b, a);
+       curve25519_sub_after_basic(r->x, r->x, r->y);
+       curve25519_sub_after_basic(r->t, c, r->z);
+}
+
+static void
+ge25519_nielsadd2_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_niels *q, unsigned char signbit) {
+       const bignum25519 *qb = (const bignum25519 *)q;
+       bignum25519 *rb = (bignum25519 *)r;
+       bignum25519 a,b,c;
+
+       curve25519_sub(a, p->y, p->x);
+       curve25519_add(b, p->y, p->x);
+       curve25519_mul(a, a, qb[signbit]); /* x for +, y for - */
+       curve25519_mul(r->x, b, qb[signbit^1]); /* y for +, x for - */
+       curve25519_add(r->y, r->x, a);
+       curve25519_sub(r->x, r->x, a);
+       curve25519_mul(c, p->t, q->t2d);
+       curve25519_add_reduce(r->t, p->z, p->z);
+       curve25519_copy(r->z, r->t);
+       curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */
+       curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */
+}
+
+static void
+ge25519_pnielsadd_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_pniels *q, unsigned char signbit) {
+       const bignum25519 *qb = (const bignum25519 *)q;
+       bignum25519 *rb = (bignum25519 *)r;
+       bignum25519 a,b,c;
+
+       curve25519_sub(a, p->y, p->x);
+       curve25519_add(b, p->y, p->x);
+       curve25519_mul(a, a, qb[signbit]); /* ysubx for +, xaddy for - */
+       curve25519_mul(r->x, b, qb[signbit^1]); /* xaddy for +, ysubx for - */
+       curve25519_add(r->y, r->x, a);
+       curve25519_sub(r->x, r->x, a);
+       curve25519_mul(c, p->t, q->t2d);
+       curve25519_mul(r->t, p->z, q->z);
+       curve25519_add_reduce(r->t, r->t, r->t);
+       curve25519_copy(r->z, r->t);
+       curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */
+       curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */
+}
+
+static void
+ge25519_double_partial(ge25519 *r, const ge25519 *p) {
+       ge25519_p1p1 t;
+       ge25519_double_p1p1(&t, p);
+       ge25519_p1p1_to_partial(r, &t);
+}
+
+static void
+ge25519_double(ge25519 *r, const ge25519 *p) {
+       ge25519_p1p1 t;
+       ge25519_double_p1p1(&t, p);
+       ge25519_p1p1_to_full(r, &t);
+}
+
+static void
+ge25519_add(ge25519 *r, const ge25519 *p,  const ge25519 *q) {
+       ge25519_p1p1 t;
+       ge25519_add_p1p1(&t, p, q);
+       ge25519_p1p1_to_full(r, &t);
+}
+
+static void
+ge25519_nielsadd2(ge25519 *r, const ge25519_niels *q) {
+       bignum25519 a,b,c,e,f,g,h;
+
+       curve25519_sub(a, r->y, r->x);
+       curve25519_add(b, r->y, r->x);
+       curve25519_mul(a, a, q->ysubx);
+       curve25519_mul(e, b, q->xaddy);
+       curve25519_add(h, e, a);
+       curve25519_sub(e, e, a);
+       curve25519_mul(c, r->t, q->t2d);
+       curve25519_add(f, r->z, r->z);
+       curve25519_add_after_basic(g, f, c);
+       curve25519_sub_after_basic(f, f, c);
+       curve25519_mul(r->x, e, f);
+       curve25519_mul(r->y, h, g);
+       curve25519_mul(r->z, g, f);
+       curve25519_mul(r->t, e, h);
+}
+
+static void
+ge25519_pnielsadd(ge25519_pniels *r, const ge25519 *p, const ge25519_pniels *q) {
+       bignum25519 a,b,c,x,y,z,t;
+
+       curve25519_sub(a, p->y, p->x);
+       curve25519_add(b, p->y, p->x);
+       curve25519_mul(a, a, q->ysubx);
+       curve25519_mul(x, b, q->xaddy);
+       curve25519_add(y, x, a);
+       curve25519_sub(x, x, a);
+       curve25519_mul(c, p->t, q->t2d);
+       curve25519_mul(t, p->z, q->z);
+       curve25519_add(t, t, t);
+       curve25519_add_after_basic(z, t, c);
+       curve25519_sub_after_basic(t, t, c);
+       curve25519_mul(r->xaddy, x, t);
+       curve25519_mul(r->ysubx, y, z);
+       curve25519_mul(r->z, z, t);
+       curve25519_mul(r->t2d, x, y);
+       curve25519_copy(y, r->ysubx);
+       curve25519_sub(r->ysubx, r->ysubx, r->xaddy);
+       curve25519_add(r->xaddy, r->xaddy, y);
+       curve25519_mul(r->t2d, r->t2d, ge25519_ec2d);
+}
+
+
+/*
+       pack & unpack
+*/
+
+static void
+ge25519_pack(unsigned char r[32], const ge25519 *p) {
+       bignum25519 tx, ty, zi;
+       unsigned char parity[32];
+       curve25519_recip(zi, p->z);
+       curve25519_mul(tx, p->x, zi);
+       curve25519_mul(ty, p->y, zi);
+       curve25519_contract(r, ty);
+       curve25519_contract(parity, tx);
+       r[31] ^= ((parity[0] & 1) << 7);
+}
+
+static int
+ge25519_unpack_negative_vartime(ge25519 *r, const unsigned char p[32]) {
+       static const unsigned char zero[32] = {0};
+       static const bignum25519 one = {1};
+       unsigned char parity = p[31] >> 7;
+       unsigned char check[32];
+       bignum25519 t, root, num, den, d3;
+
+       curve25519_expand(r->y, p);
+       curve25519_copy(r->z, one);
+       curve25519_square(num, r->y); /* x = y^2 */
+       curve25519_mul(den, num, ge25519_ecd); /* den = dy^2 */
+       curve25519_sub_reduce(num, num, r->z); /* x = y^1 - 1 */
+       curve25519_add(den, den, r->z); /* den = dy^2 + 1 */
+
+       /* Computation of sqrt(num/den) */
+       /* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */
+       curve25519_square(t, den);
+       curve25519_mul(d3, t, den);
+       curve25519_square(r->x, d3);
+       curve25519_mul(r->x, r->x, den);
+       curve25519_mul(r->x, r->x, num);
+       curve25519_pow_two252m3(r->x, r->x);
+
+       /* 2. computation of r->x = num * den^3 * (num*den^7)^((p-5)/8) */
+       curve25519_mul(r->x, r->x, d3);
+       curve25519_mul(r->x, r->x, num);
+
+       /* 3. Check if either of the roots works: */
+       curve25519_square(t, r->x);
+       curve25519_mul(t, t, den);
+       curve25519_sub_reduce(root, t, num);
+       curve25519_contract(check, root);
+       if (!ed25519_verify(check, zero, 32)) {
+               curve25519_add_reduce(t, t, num);
+               curve25519_contract(check, t);
+               if (!ed25519_verify(check, zero, 32))
+                       return 0;
+               curve25519_mul(r->x, r->x, ge25519_sqrtneg1);
+       }
+
+       curve25519_contract(check, r->x);
+       if ((check[0] & 1) == parity) {
+               curve25519_copy(t, r->x);
+               curve25519_neg(r->x, t);
+       }
+       curve25519_mul(r->t, r->x, r->y);
+       return 1;
+}
+
+
+/*
+       scalarmults
+*/
+
+#define S1_SWINDOWSIZE 5
+#define S1_TABLE_SIZE (1<<(S1_SWINDOWSIZE-2))
+#define S2_SWINDOWSIZE 7
+#define S2_TABLE_SIZE (1<<(S2_SWINDOWSIZE-2))
+
+/* computes [s1]p1 + [s2]basepoint */
+static void 
+ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const bignum256modm s1, const bignum256modm s2) {
+       signed char slide1[256], slide2[256];
+       ge25519_pniels pre1[S1_TABLE_SIZE];
+       ge25519 d1;
+       ge25519_p1p1 t;
+       int32_t i;
+
+       contract256_slidingwindow_modm(slide1, s1, S1_SWINDOWSIZE);
+       contract256_slidingwindow_modm(slide2, s2, S2_SWINDOWSIZE);
+
+       ge25519_double(&d1, p1);
+       ge25519_full_to_pniels(pre1, p1);
+       for (i = 0; i < S1_TABLE_SIZE - 1; i++)
+               ge25519_pnielsadd(&pre1[i+1], &d1, &pre1[i]);
+
+       /* set neutral */
+       memset(r, 0, sizeof(ge25519));
+       r->y[0] = 1;
+       r->z[0] = 1;
+
+       i = 255;
+       while ((i >= 0) && !(slide1[i] | slide2[i]))
+               i--;
+
+       for (; i >= 0; i--) {
+               ge25519_double_p1p1(&t, r);
+
+               if (slide1[i]) {
+                       ge25519_p1p1_to_full(r, &t);
+                       ge25519_pnielsadd_p1p1(&t, r, &pre1[abs(slide1[i]) / 2], (unsigned char)slide1[i] >> 7);
+               }
+
+               if (slide2[i]) {
+                       ge25519_p1p1_to_full(r, &t);
+                       ge25519_nielsadd2_p1p1(&t, r, &ge25519_niels_sliding_multiples[abs(slide2[i]) / 2], (unsigned char)slide2[i] >> 7);
+               }
+
+               ge25519_p1p1_to_partial(r, &t);
+       }
+}
+
+
+
+#if !defined(HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS)
+
+static uint32_t
+ge25519_windowb_equal(uint32_t b, uint32_t c) {
+       return ((b ^ c) - 1) >> 31;
+}
+
+static void
+ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
+       bignum25519 neg;
+       uint32_t sign = (uint32_t)((unsigned char)b >> 7);
+       uint32_t mask = ~(sign - 1);
+       uint32_t u = (b + mask) ^ mask;
+       uint32_t i;
+
+       /* ysubx, xaddy, t2d in packed form. initialize to ysubx = 1, xaddy = 1, t2d = 0 */
+       uint8_t packed[96] = {0};
+       packed[0] = 1;
+       packed[32] = 1;
+
+       for (i = 0; i < 8; i++)
+               curve25519_move_conditional_bytes(packed, table[(pos * 8) + i], ge25519_windowb_equal(u, i + 1));
+
+       /* expand in to t */
+       curve25519_expand(t->ysubx, packed +  0);
+       curve25519_expand(t->xaddy, packed + 32);
+       curve25519_expand(t->t2d  , packed + 64);
+
+       /* adjust for sign */
+       curve25519_swap_conditional(t->ysubx, t->xaddy, sign);
+       curve25519_neg(neg, t->t2d);
+       curve25519_swap_conditional(t->t2d, neg, sign);
+}
+
+#endif /* HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS */
+
+
+/* computes [s]basepoint */
+static void
+ge25519_scalarmult_base_niels(ge25519 *r, const uint8_t basepoint_table[256][96], const bignum256modm s) {
+       signed char b[64];
+       uint32_t i;
+       ge25519_niels t;
+
+       contract256_window4_modm(b, s);
+
+       ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[1]);
+       curve25519_sub_reduce(r->x, t.xaddy, t.ysubx);
+       curve25519_add_reduce(r->y, t.xaddy, t.ysubx);
+       memset(r->z, 0, sizeof(bignum25519));
+       curve25519_copy(r->t, t.t2d);
+       r->z[0] = 2;    
+       for (i = 3; i < 64; i += 2) {
+               ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]);
+               ge25519_nielsadd2(r, &t);
+       }
+       ge25519_double_partial(r, r);
+       ge25519_double_partial(r, r);
+       ge25519_double_partial(r, r);
+       ge25519_double(r, r);
+       ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[0]);
+       curve25519_mul(t.t2d, t.t2d, ge25519_ecd);
+       ge25519_nielsadd2(r, &t);
+       for(i = 2; i < 64; i += 2) {
+               ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]);
+               ge25519_nielsadd2(r, &t);
+       }
+}
+

diff --git a/tests/ed25519-donna/ed25519-donna-portable-identify.h b/tests/ed25519-donna/ed25519-donna-portable-identify.h
new file mode 100644 (file)
index 0000000..26a264c
--- /dev/null
+++ b/tests/ed25519-donna/ed25519-donna-portable-identify.h
@@ -0,0 +1,103 @@
+/* os */
+#if defined(_WIN32)    || defined(_WIN64) || defined(__TOS_WIN__) || defined(__WINDOWS__)
+       #define OS_WINDOWS
+#elif defined(sun) || defined(__sun) || defined(__SVR4) || defined(__svr4__)
+       #define OS_SOLARIS
+#else
+       #include <sys/param.h> /* need this to define BSD */
+       #define OS_NIX
+       #if defined(__linux__)
+               #define OS_LINUX
+       #elif defined(BSD)
+               #define OS_BSD
+               #if defined(MACOS_X) || (defined(__APPLE__) & defined(__MACH__))
+                       #define OS_OSX
+               #elif defined(macintosh) || defined(Macintosh)
+                       #define OS_MAC
+               #elif defined(__OpenBSD__)
+                       #define OS_OPENBSD
+               #endif
+       #endif
+#endif
+
+
+/* compiler */
+#if defined(_MSC_VER)
+       #define COMPILER_MSVC
+#endif
+#if defined(__ICC)
+       #define COMPILER_INTEL
+#endif
+#if defined(__GNUC__)
+       #if (__GNUC__ >= 3)
+               #define COMPILER_GCC ((__GNUC__ * 10000) + (__GNUC_MINOR__ * 100) + (__GNUC_PATCHLEVEL__))
+       #else
+               #define COMPILER_GCC ((__GNUC__ * 10000) + (__GNUC_MINOR__ * 100)                        )
+       #endif
+#endif
+#if defined(__PATHCC__)
+       #define COMPILER_PATHCC
+#endif
+#if defined(__clang__)
+       #define COMPILER_CLANG ((__clang_major__ * 10000) + (__clang_minor__ * 100) + (__clang_patchlevel__))
+#endif
+
+
+
+/* cpu */
+#if defined(__amd64__) || defined(__amd64) || defined(__x86_64__ ) || defined(_M_X64)
+       #define CPU_X86_64
+#elif defined(__i586__) || defined(__i686__) || (defined(_M_IX86) && (_M_IX86 >= 500))
+       #define CPU_X86 500
+#elif defined(__i486__) || (defined(_M_IX86) && (_M_IX86 >= 400))
+       #define CPU_X86 400
+#elif defined(__i386__) || (defined(_M_IX86) && (_M_IX86 >= 300)) || defined(__X86__) || defined(_X86_) || defined(__I86__)
+       #define CPU_X86 300
+#elif defined(__ia64__) || defined(_IA64) || defined(__IA64__) || defined(_M_IA64) || defined(__ia64)
+       #define CPU_IA64
+#endif
+
+#if defined(__sparc__) || defined(__sparc) || defined(__sparcv9)
+       #define CPU_SPARC
+       #if defined(__sparcv9)
+               #define CPU_SPARC64
+       #endif
+#endif
+
+#if defined(powerpc) || defined(__PPC__) || defined(__ppc__) || defined(_ARCH_PPC) || defined(__powerpc__) || defined(__powerpc) || defined(POWERPC) || defined(_M_PPC)
+       #define CPU_PPC
+       #if defined(_ARCH_PWR7)
+               #define CPU_POWER7
+       #elif defined(__64BIT__)
+               #define CPU_PPC64
+       #else
+               #define CPU_PPC32
+       #endif
+#endif
+
+#if defined(__hppa__) || defined(__hppa)
+       #define CPU_HPPA
+#endif
+
+#if defined(__alpha__) || defined(__alpha) || defined(_M_ALPHA)
+       #define CPU_ALPHA
+#endif
+
+/* 64 bit cpu */
+#if defined(CPU_X86_64) || defined(CPU_IA64) || defined(CPU_SPARC64) || defined(__64BIT__) || defined(__LP64__) || defined(_LP64) || (defined(_MIPS_SZLONG) && (_MIPS_SZLONG == 64))
+       #define CPU_64BITS
+#endif
+
+#if defined(COMPILER_MSVC)
+       typedef signed char int8_t;
+       typedef unsigned char uint8_t;
+       typedef signed short int16_t;
+       typedef unsigned short uint16_t;
+       typedef signed int int32_t;
+       typedef unsigned int uint32_t;
+       typedef signed __int64 int64_t;
+       typedef unsigned __int64 uint64_t;
+#else
+       #include <stdint.h>
+#endif
+

diff --git a/tests/ed25519-donna/ed25519-donna-portable.h b/tests/ed25519-donna/ed25519-donna-portable.h
new file mode 100644 (file)
index 0000000..0a0f7fc
--- /dev/null
+++ b/tests/ed25519-donna/ed25519-donna-portable.h
@@ -0,0 +1,135 @@
+#include "ed25519-donna-portable-identify.h"
+
+#define mul32x32_64(a,b) (((uint64_t)(a))*(b))
+
+/* platform */
+#if defined(COMPILER_MSVC)
+       #include <intrin.h>
+       #if !defined(_DEBUG)
+               #undef mul32x32_64              
+               #define mul32x32_64(a,b) __emulu(a,b)
+       #endif
+       #undef inline
+       #define inline __forceinline
+       #define DONNA_INLINE __forceinline
+       #define DONNA_NOINLINE __declspec(noinline)
+       #define ALIGN(x) __declspec(align(x))
+       #define ROTL32(a,b) _rotl(a,b)
+       #define ROTR32(a,b) _rotr(a,b)
+#else
+       #include <sys/param.h>
+       #define DONNA_INLINE inline __attribute__((always_inline))
+       #define DONNA_NOINLINE __attribute__((noinline))
+       #define ALIGN(x) __attribute__((aligned(x)))
+       #define ROTL32(a,b) (((a) << (b)) | ((a) >> (32 - b)))
+       #define ROTR32(a,b) (((a) >> (b)) | ((a) << (32 - b)))
+#endif
+
+/* uint128_t */
+#if defined(CPU_64BITS) && !defined(ED25519_FORCE_32BIT)
+       #if defined(COMPILER_CLANG) && (COMPILER_CLANG >= 30100)
+               #define HAVE_NATIVE_UINT128
+               typedef unsigned __int128 uint128_t;
+       #elif defined(COMPILER_MSVC)
+               #define HAVE_UINT128
+               typedef struct uint128_t {
+                       uint64_t lo, hi;
+               } uint128_t;
+               #define mul64x64_128(out,a,b) out.lo = _umul128(a,b,&out.hi);
+               #define shr128_pair(out,hi,lo,shift) out = __shiftright128(lo, hi, shift);
+               #define shl128_pair(out,hi,lo,shift) out = __shiftleft128(lo, hi, shift);
+               #define shr128(out,in,shift) shr128_pair(out, in.hi, in.lo, shift)
+               #define shl128(out,in,shift) shl128_pair(out, in.hi, in.lo, shift)
+               #define add128(a,b) { uint64_t p = a.lo; a.lo += b.lo; a.hi += b.hi + (a.lo < p); }
+               #define add128_64(a,b) { uint64_t p = a.lo; a.lo += b; a.hi += (a.lo < p); }
+               #define lo128(a) (a.lo)
+               #define hi128(a) (a.hi)
+       #elif defined(COMPILER_GCC) && !defined(HAVE_NATIVE_UINT128)
+               #if defined(__SIZEOF_INT128__)
+                       #define HAVE_NATIVE_UINT128
+                       typedef unsigned __int128 uint128_t;
+               #elif (COMPILER_GCC >= 40400)
+                       #define HAVE_NATIVE_UINT128
+                       typedef unsigned uint128_t __attribute__((mode(TI)));
+               #elif defined(CPU_X86_64)
+                       #define HAVE_UINT128
+                       typedef struct uint128_t {
+                               uint64_t lo, hi;
+                       } uint128_t;
+                       #define mul64x64_128(out,a,b) __asm__ ("mulq %3" : "=a" (out.lo), "=d" (out.hi) : "a" (a), "rm" (b));
+                       #define shr128_pair(out,hi,lo,shift) __asm__ ("shrdq %2,%1,%0" : "+r" (lo) : "r" (hi), "J" (shift)); out = lo;
+                       #define shl128_pair(out,hi,lo,shift) __asm__ ("shldq %2,%1,%0" : "+r" (hi) : "r" (lo), "J" (shift)); out = hi;
+                       #define shr128(out,in,shift) shr128_pair(out,in.hi, in.lo, shift)
+                       #define shl128(out,in,shift) shl128_pair(out,in.hi, in.lo, shift)
+                       #define add128(a,b) __asm__ ("addq %4,%2; adcq %5,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b.lo), "rm" (b.hi) : "cc");
+                       #define add128_64(a,b) __asm__ ("addq %4,%2; adcq $0,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b) : "cc");
+                       #define lo128(a) (a.lo)
+                       #define hi128(a) (a.hi)
+               #endif
+       #endif
+
+       #if defined(HAVE_NATIVE_UINT128)
+               #define HAVE_UINT128
+               #define mul64x64_128(out,a,b) out = (uint128_t)a * b;
+               #define shr128_pair(out,hi,lo,shift) out = (uint64_t)((((uint128_t)hi << 64) | lo) >> (shift));
+               #define shl128_pair(out,hi,lo,shift) out = (uint64_t)(((((uint128_t)hi << 64) | lo) << (shift)) >> 64);
+               #define shr128(out,in,shift) out = (uint64_t)(in >> (shift));
+               #define shl128(out,in,shift) out = (uint64_t)((in << shift) >> 64);
+               #define add128(a,b) a += b;
+               #define add128_64(a,b) a += (uint64_t)b;
+               #define lo128(a) ((uint64_t)a)
+               #define hi128(a) ((uint64_t)(a >> 64))
+       #endif
+
+       #if !defined(HAVE_UINT128)
+               #error Need a uint128_t implementation!
+       #endif
+#endif
+
+/* endian */
+#if !defined(ED25519_OPENSSLRNG)
+static inline void U32TO8_LE(unsigned char *p, const uint32_t v) {
+       p[0] = (unsigned char)(v      );
+       p[1] = (unsigned char)(v >>  8);
+       p[2] = (unsigned char)(v >> 16);
+       p[3] = (unsigned char)(v >> 24);
+}
+#endif
+
+#if !defined(HAVE_UINT128)
+static inline uint32_t U8TO32_LE(const unsigned char *p) {
+       return
+       (((uint32_t)(p[0])      ) | 
+        ((uint32_t)(p[1]) <<  8) |
+        ((uint32_t)(p[2]) << 16) |
+        ((uint32_t)(p[3]) << 24));
+}
+#else
+static inline uint64_t U8TO64_LE(const unsigned char *p) {
+       return
+       (((uint64_t)(p[0])      ) |
+        ((uint64_t)(p[1]) <<  8) |
+        ((uint64_t)(p[2]) << 16) |
+        ((uint64_t)(p[3]) << 24) |
+        ((uint64_t)(p[4]) << 32) |
+        ((uint64_t)(p[5]) << 40) |
+        ((uint64_t)(p[6]) << 48) |
+        ((uint64_t)(p[7]) << 56));
+}
+
+static inline void U64TO8_LE(unsigned char *p, const uint64_t v) {
+       p[0] = (unsigned char)(v      );
+       p[1] = (unsigned char)(v >>  8);
+       p[2] = (unsigned char)(v >> 16);
+       p[3] = (unsigned char)(v >> 24);
+       p[4] = (unsigned char)(v >> 32);
+       p[5] = (unsigned char)(v >> 40);
+       p[6] = (unsigned char)(v >> 48);
+       p[7] = (unsigned char)(v >> 56);
+}
+#endif
+
+#include <stdlib.h>
+#include <string.h>
+
+

diff --git a/tests/ed25519-donna/ed25519-donna.h b/tests/ed25519-donna/ed25519-donna.h
new file mode 100644 (file)
index 0000000..fa95a09
--- /dev/null
+++ b/tests/ed25519-donna/ed25519-donna.h
@@ -0,0 +1,117 @@
+/*
+       Public domain by Andrew M. <liquidsun@gmail.com>
+       Modified from the amd64-51-30k implementation by
+               Daniel J. Bernstein
+               Niels Duif
+               Tanja Lange
+               Peter Schwabe
+               Bo-Yin Yang
+*/
+
+
+#include "ed25519-donna-portable.h"
+
+#if defined(ED25519_SSE2)
+#else
+       #if defined(HAVE_UINT128) && !defined(ED25519_FORCE_32BIT)
+               #define ED25519_64BIT
+       #else
+               #define ED25519_32BIT
+       #endif
+#endif
+
+#if !defined(ED25519_NO_INLINE_ASM)
+       /* detect extra features first so un-needed functions can be disabled throughout */
+       #if defined(ED25519_SSE2)
+               #if defined(COMPILER_GCC) && defined(CPU_X86)
+                       #define ED25519_GCC_32BIT_SSE_CHOOSE
+               #elif defined(COMPILER_GCC) && defined(CPU_X86_64)
+                       #define ED25519_GCC_64BIT_SSE_CHOOSE
+               #endif
+       #else
+               #if defined(CPU_X86_64)
+                       #if defined(COMPILER_GCC) 
+                               #if defined(ED25519_64BIT)
+                                       #define ED25519_GCC_64BIT_X86_CHOOSE
+                               #else
+                                       #define ED25519_GCC_64BIT_32BIT_CHOOSE
+                               #endif
+                       #endif
+               #endif
+       #endif
+#endif
+
+#if defined(ED25519_SSE2)
+       #include "curve25519-donna-sse2.h"
+#elif defined(ED25519_64BIT)
+       #include "curve25519-donna-64bit.h"
+#else
+       #include "curve25519-donna-32bit.h"
+#endif
+
+#include "curve25519-donna-helpers.h"
+
+/* separate uint128 check for 64 bit sse2 */
+#if defined(HAVE_UINT128) && !defined(ED25519_FORCE_32BIT)
+       #include "modm-donna-64bit.h"
+#else
+       #include "modm-donna-32bit.h"
+#endif
+
+typedef unsigned char hash_512bits[64];
+
+/*
+       Timing safe memory compare
+*/
+static int
+ed25519_verify(const unsigned char *x, const unsigned char *y, size_t len) {
+       size_t differentbits = 0;
+       while (len--)
+               differentbits |= (*x++ ^ *y++);
+       return (int) (1 & ((differentbits - 1) >> 8));
+}
+
+
+/*
+ * Arithmetic on the twisted Edwards curve -x^2 + y^2 = 1 + dx^2y^2
+ * with d = -(121665/121666) = 37095705934669439343138083508754565189542113879843219016388785533085940283555
+ * Base point: (15112221349535400772501151409588531511454012693041857206046113283949847762202,46316835694926478169428394003475163141307993866256225615783033603165251855960);
+ */
+
+typedef struct ge25519_t {
+       bignum25519 x, y, z, t;
+} ge25519;
+
+typedef struct ge25519_p1p1_t {
+       bignum25519 x, y, z, t;
+} ge25519_p1p1;
+
+typedef struct ge25519_niels_t {
+       bignum25519 ysubx, xaddy, t2d;
+} ge25519_niels;
+
+typedef struct ge25519_pniels_t {
+       bignum25519 ysubx, xaddy, z, t2d;
+} ge25519_pniels;
+
+#include "ed25519-donna-basepoint-table.h"
+
+#if defined(ED25519_64BIT)
+       #include "ed25519-donna-64bit-tables.h"
+       #include "ed25519-donna-64bit-x86.h"
+#else
+       #include "ed25519-donna-32bit-tables.h"
+       #if defined(ED25519_GCC_64BIT_32BIT_CHOOSE)
+               #include "ed25519-donna-64bit-x86-32bit.h"
+       #endif
+#endif
+
+
+#if defined(ED25519_SSE2)
+       #include "ed25519-donna-32bit-sse2.h"
+       #include "ed25519-donna-64bit-sse2.h"
+       #include "ed25519-donna-impl-sse2.h"
+#else
+       #include "ed25519-donna-impl-base.h"
+#endif
+

diff --git a/tests/ed25519-donna/ed25519-hash-custom.h b/tests/ed25519-donna/ed25519-hash-custom.h
new file mode 100644 (file)
index 0000000..613ed53
--- /dev/null
+++ b/tests/ed25519-donna/ed25519-hash-custom.h
@@ -0,0 +1,38 @@
+
+// copied from monocypher
+typedef struct {
+    uint8_t  buf[128];      // input buffer
+    uint64_t hash[8];       // chained state
+    uint64_t input_size[2]; // total number of bytes
+    uint8_t  c;             // pointer for buf[]
+    uint8_t  output_size;   // digest size
+} crypto_blake2b_ctx;
+
+void crypto_blake2b_init(crypto_blake2b_ctx *ctx);
+void crypto_blake2b_update(crypto_blake2b_ctx *ctx,
+                           const uint8_t *in, size_t in_size);
+void crypto_blake2b_final(crypto_blake2b_ctx *ctx, uint8_t *out);
+void crypto_blake2b(uint8_t out[64], const uint8_t *in, size_t in_size);
+
+typedef struct {
+    crypto_blake2b_ctx ctx;
+} ed25519_hash_context;
+
+void ed25519_hash_init(ed25519_hash_context *ctx)
+{
+    crypto_blake2b_init(&(ctx->ctx));
+}
+void ed25519_hash_update(ed25519_hash_context *ctx, const uint8_t *in, size_t inlen)
+{
+    crypto_blake2b_update(&(ctx->ctx), in, inlen);
+}
+void ed25519_hash_final(ed25519_hash_context *ctx, uint8_t *hash)
+{
+    crypto_blake2b_final(&(ctx->ctx), hash);
+}
+void ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen)
+{
+    crypto_blake2b(hash, in, inlen);
+}
+
+

diff --git a/tests/ed25519-donna/ed25519-hash.h b/tests/ed25519-donna/ed25519-hash.h
new file mode 100644 (file)
index 0000000..6ba8f52
--- /dev/null
+++ b/tests/ed25519-donna/ed25519-hash.h
@@ -0,0 +1,219 @@
+#if defined(ED25519_REFHASH)
+
+/* reference/slow SHA-512. really, do not use this */
+
+#define HASH_BLOCK_SIZE 128
+#define HASH_DIGEST_SIZE 64
+
+typedef struct sha512_state_t {
+       uint64_t H[8];
+       uint64_t T[2];
+       uint32_t leftover;
+       uint8_t buffer[HASH_BLOCK_SIZE];
+} sha512_state;
+
+typedef sha512_state ed25519_hash_context;
+
+static const uint64_t sha512_constants[80] = {
+       0x428a2f98d728ae22ull, 0x7137449123ef65cdull, 0xb5c0fbcfec4d3b2full, 0xe9b5dba58189dbbcull,
+       0x3956c25bf348b538ull, 0x59f111f1b605d019ull, 0x923f82a4af194f9bull, 0xab1c5ed5da6d8118ull,
+       0xd807aa98a3030242ull, 0x12835b0145706fbeull, 0x243185be4ee4b28cull, 0x550c7dc3d5ffb4e2ull,
+       0x72be5d74f27b896full, 0x80deb1fe3b1696b1ull, 0x9bdc06a725c71235ull, 0xc19bf174cf692694ull,
+       0xe49b69c19ef14ad2ull, 0xefbe4786384f25e3ull, 0x0fc19dc68b8cd5b5ull, 0x240ca1cc77ac9c65ull,
+       0x2de92c6f592b0275ull, 0x4a7484aa6ea6e483ull, 0x5cb0a9dcbd41fbd4ull, 0x76f988da831153b5ull,
+       0x983e5152ee66dfabull, 0xa831c66d2db43210ull, 0xb00327c898fb213full, 0xbf597fc7beef0ee4ull,
+       0xc6e00bf33da88fc2ull, 0xd5a79147930aa725ull, 0x06ca6351e003826full, 0x142929670a0e6e70ull,
+       0x27b70a8546d22ffcull, 0x2e1b21385c26c926ull, 0x4d2c6dfc5ac42aedull, 0x53380d139d95b3dfull,
+       0x650a73548baf63deull, 0x766a0abb3c77b2a8ull, 0x81c2c92e47edaee6ull, 0x92722c851482353bull,
+       0xa2bfe8a14cf10364ull, 0xa81a664bbc423001ull, 0xc24b8b70d0f89791ull, 0xc76c51a30654be30ull,
+       0xd192e819d6ef5218ull, 0xd69906245565a910ull, 0xf40e35855771202aull, 0x106aa07032bbd1b8ull,
+       0x19a4c116b8d2d0c8ull, 0x1e376c085141ab53ull, 0x2748774cdf8eeb99ull, 0x34b0bcb5e19b48a8ull,
+       0x391c0cb3c5c95a63ull, 0x4ed8aa4ae3418acbull, 0x5b9cca4f7763e373ull, 0x682e6ff3d6b2b8a3ull,
+       0x748f82ee5defb2fcull, 0x78a5636f43172f60ull, 0x84c87814a1f0ab72ull, 0x8cc702081a6439ecull,
+       0x90befffa23631e28ull, 0xa4506cebde82bde9ull, 0xbef9a3f7b2c67915ull, 0xc67178f2e372532bull,
+       0xca273eceea26619cull, 0xd186b8c721c0c207ull, 0xeada7dd6cde0eb1eull, 0xf57d4f7fee6ed178ull,
+       0x06f067aa72176fbaull, 0x0a637dc5a2c898a6ull, 0x113f9804bef90daeull, 0x1b710b35131c471bull,
+       0x28db77f523047d84ull, 0x32caab7b40c72493ull, 0x3c9ebe0a15c9bebcull, 0x431d67c49c100d4cull,
+       0x4cc5d4becb3e42b6ull, 0x597f299cfc657e2aull, 0x5fcb6fab3ad6faecull, 0x6c44198c4a475817ull
+};
+
+static uint64_t
+sha512_ROTR64(uint64_t x, int k) {
+       return (x >> k) | (x << (64 - k));
+}
+
+static uint64_t
+sha512_LOAD64_BE(const uint8_t *p) {
+       return 
+               ((uint64_t)p[0] << 56) |
+               ((uint64_t)p[1] << 48) |
+               ((uint64_t)p[2] << 40) |
+               ((uint64_t)p[3] << 32) |
+               ((uint64_t)p[4] << 24) |
+               ((uint64_t)p[5] << 16) |
+               ((uint64_t)p[6] <<  8) |
+               ((uint64_t)p[7]      );
+}
+
+static void
+sha512_STORE64_BE(uint8_t *p, uint64_t v) {
+       p[0] = (uint8_t)(v >> 56);
+       p[1] = (uint8_t)(v >> 48);
+       p[2] = (uint8_t)(v >> 40);
+       p[3] = (uint8_t)(v >> 32);
+       p[4] = (uint8_t)(v >> 24);
+       p[5] = (uint8_t)(v >> 16);
+       p[6] = (uint8_t)(v >>  8);
+       p[7] = (uint8_t)(v      );
+}
+
+#define Ch(x,y,z)  (z ^ (x & (y ^ z)))
+#define Maj(x,y,z) (((x | y) & z) | (x & y))
+#define S0(x)      (sha512_ROTR64(x, 28) ^ sha512_ROTR64(x, 34) ^ sha512_ROTR64(x, 39))
+#define S1(x)      (sha512_ROTR64(x, 14) ^ sha512_ROTR64(x, 18) ^ sha512_ROTR64(x, 41))
+#define G0(x)      (sha512_ROTR64(x,  1) ^ sha512_ROTR64(x,  8) ^ (x >>  7))
+#define G1(x)      (sha512_ROTR64(x, 19) ^ sha512_ROTR64(x, 61) ^ (x >>  6))
+#define W0(in,i)   (sha512_LOAD64_BE(&in[i * 8]))
+#define W1(i)      (G1(w[i - 2]) + w[i - 7] + G0(w[i - 15]) + w[i - 16])
+#define STEP(i) \
+       t1 = S0(r[0]) + Maj(r[0], r[1], r[2]); \
+       t0 = r[7] + S1(r[4]) + Ch(r[4], r[5], r[6]) + sha512_constants[i] + w[i]; \
+       r[7] = r[6]; \
+       r[6] = r[5]; \
+       r[5] = r[4]; \
+       r[4] = r[3] + t0; \
+       r[3] = r[2]; \
+       r[2] = r[1]; \
+       r[1] = r[0]; \
+       r[0] = t0 + t1;
+
+static void
+sha512_blocks(sha512_state *S, const uint8_t *in, size_t blocks) {
+       uint64_t r[8], w[80], t0, t1;
+       size_t i;
+
+       for (i = 0; i < 8; i++) r[i] = S->H[i];
+
+       while (blocks--) {
+               for (i =  0; i < 16; i++) { w[i] = W0(in, i); }
+               for (i = 16; i < 80; i++) { w[i] = W1(i); }
+               for (i =  0; i < 80; i++) { STEP(i); }
+               for (i =  0; i <  8; i++) { r[i] += S->H[i]; S->H[i] = r[i]; }
+               S->T[0] += HASH_BLOCK_SIZE * 8;
+               S->T[1] += (!S->T[0]) ? 1 : 0;
+               in += HASH_BLOCK_SIZE;
+       }
+}
+
+static void
+ed25519_hash_init(sha512_state *S) {
+       S->H[0] = 0x6a09e667f3bcc908ull;
+       S->H[1] = 0xbb67ae8584caa73bull;
+       S->H[2] = 0x3c6ef372fe94f82bull;
+       S->H[3] = 0xa54ff53a5f1d36f1ull;
+       S->H[4] = 0x510e527fade682d1ull;
+       S->H[5] = 0x9b05688c2b3e6c1full;
+       S->H[6] = 0x1f83d9abfb41bd6bull;
+       S->H[7] = 0x5be0cd19137e2179ull;
+       S->T[0] = 0;
+       S->T[1] = 0;
+       S->leftover = 0;
+}
+
+static void
+ed25519_hash_update(sha512_state *S, const uint8_t *in, size_t inlen) {
+       size_t blocks, want;
+
+       /* handle the previous data */
+       if (S->leftover) {
+               want = (HASH_BLOCK_SIZE - S->leftover);
+               want = (want < inlen) ? want : inlen;
+               memcpy(S->buffer + S->leftover, in, want);
+               S->leftover += (uint32_t)want;
+               if (S->leftover < HASH_BLOCK_SIZE)
+                       return;
+               in += want;
+               inlen -= want;
+               sha512_blocks(S, S->buffer, 1);
+       }
+
+       /* handle the current data */
+       blocks = (inlen & ~(HASH_BLOCK_SIZE - 1));
+       S->leftover = (uint32_t)(inlen - blocks);
+       if (blocks) {
+               sha512_blocks(S, in, blocks / HASH_BLOCK_SIZE);
+               in += blocks;
+       }
+
+       /* handle leftover data */
+       if (S->leftover)
+               memcpy(S->buffer, in, S->leftover);
+}
+
+static void
+ed25519_hash_final(sha512_state *S, uint8_t *hash) {
+       uint64_t t0 = S->T[0] + (S->leftover * 8), t1 = S->T[1];
+
+       S->buffer[S->leftover] = 0x80;
+       if (S->leftover <= 111) {
+               memset(S->buffer + S->leftover + 1, 0, 111 - S->leftover);
+       } else {
+               memset(S->buffer + S->leftover + 1, 0, 127 - S->leftover);
+               sha512_blocks(S, S->buffer, 1);
+               memset(S->buffer, 0, 112);
+       }
+
+       sha512_STORE64_BE(S->buffer + 112, t1);
+       sha512_STORE64_BE(S->buffer + 120, t0);
+       sha512_blocks(S, S->buffer, 1);
+
+       sha512_STORE64_BE(&hash[ 0], S->H[0]);
+       sha512_STORE64_BE(&hash[ 8], S->H[1]);
+       sha512_STORE64_BE(&hash[16], S->H[2]);
+       sha512_STORE64_BE(&hash[24], S->H[3]);
+       sha512_STORE64_BE(&hash[32], S->H[4]);
+       sha512_STORE64_BE(&hash[40], S->H[5]);
+       sha512_STORE64_BE(&hash[48], S->H[6]);
+       sha512_STORE64_BE(&hash[56], S->H[7]);
+}
+
+static void
+ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen) {
+       ed25519_hash_context ctx;
+       ed25519_hash_init(&ctx);
+       ed25519_hash_update(&ctx, in, inlen);
+       ed25519_hash_final(&ctx, hash);
+}
+
+#elif defined(ED25519_CUSTOMHASH)
+
+#include "ed25519-hash-custom.h"
+
+#else
+
+#include <openssl/sha.h>
+
+typedef SHA512_CTX ed25519_hash_context;
+
+static void
+ed25519_hash_init(ed25519_hash_context *ctx) {
+       SHA512_Init(ctx);
+}
+
+static void
+ed25519_hash_update(ed25519_hash_context *ctx, const uint8_t *in, size_t inlen) {
+       SHA512_Update(ctx, in, inlen);
+}
+
+static void
+ed25519_hash_final(ed25519_hash_context *ctx, uint8_t *hash) {
+       SHA512_Final(hash, ctx);
+}
+
+static void
+ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen) {
+       SHA512(in, inlen, hash);
+}
+
+#endif
+

diff --git a/tests/ed25519-donna/ed25519-randombytes.h b/tests/ed25519-donna/ed25519-randombytes.h
new file mode 100644 (file)
index 0000000..1dc6290
--- /dev/null
+++ b/tests/ed25519-donna/ed25519-randombytes.h
@@ -0,0 +1,91 @@
+#if defined(ED25519_TEST)
+/*
+       ISAAC+ "variant", the paper is not clear on operator precedence and other
+       things. This is the "first in, first out" option!
+
+       Not threadsafe or securely initialized, only for deterministic testing
+*/
+typedef struct isaacp_state_t {
+       uint32_t state[256];
+       unsigned char buffer[1024];
+       uint32_t a, b, c;
+       size_t left;
+} isaacp_state;
+
+#define isaacp_step(offset, mix) \
+       x = mm[i + offset]; \
+       a = (a ^ (mix)) + (mm[(i + offset + 128) & 0xff]); \
+       y = (a ^ b) + mm[(x >> 2) & 0xff]; \
+       mm[i + offset] = y; \
+       b = (x + a) ^ mm[(y >> 10) & 0xff]; \
+       U32TO8_LE(out + (i + offset) * 4, b);
+
+static void
+isaacp_mix(isaacp_state *st) {
+       uint32_t i, x, y;
+       uint32_t a = st->a, b = st->b, c = st->c;
+       uint32_t *mm = st->state;
+       unsigned char *out = st->buffer;
+
+       c = c + 1;
+       b = b + c;
+
+       for (i = 0; i < 256; i += 4) {
+               isaacp_step(0, ROTL32(a,13))
+               isaacp_step(1, ROTR32(a, 6))
+               isaacp_step(2, ROTL32(a, 2))
+               isaacp_step(3, ROTR32(a,16))
+       }
+
+       st->a = a;
+       st->b = b;
+       st->c = c;
+       st->left = 1024;
+}
+
+static void
+isaacp_random(isaacp_state *st, void *p, size_t len) {
+       size_t use;
+       unsigned char *c = (unsigned char *)p;
+       while (len) {
+               use = (len > st->left) ? st->left : len;
+               memcpy(c, st->buffer + (sizeof(st->buffer) - st->left), use);
+
+               st->left -= use;
+               c += use;
+               len -= use;
+
+               if (!st->left)
+                       isaacp_mix(st);
+       }
+}
+
+void
+ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len) {
+       static int initialized = 0;
+       static isaacp_state rng;
+
+       if (!initialized) {
+               memset(&rng, 0, sizeof(rng));
+               isaacp_mix(&rng);
+               isaacp_mix(&rng);
+               initialized = 1;
+       }
+
+       isaacp_random(&rng, p, len);
+}
+#elif defined(ED25519_CUSTOMRANDOM)
+
+#include "ed25519-randombytes-custom.h"
+
+#else
+
+#include <openssl/rand.h>
+
+void
+ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len) {
+
+  RAND_bytes(p, (int) len);
+
+}
+#endif

diff --git a/tests/ed25519-donna/ed25519.c b/tests/ed25519-donna/ed25519.c
new file mode 100644 (file)
index 0000000..58a755b
--- /dev/null
+++ b/tests/ed25519-donna/ed25519.c
@@ -0,0 +1,150 @@
+/*
+       Public domain by Andrew M. <liquidsun@gmail.com>
+
+       Ed25519 reference implementation using Ed25519-donna
+*/
+
+
+/* define ED25519_SUFFIX to have it appended to the end of each public function */
+#if !defined(ED25519_SUFFIX)
+#define ED25519_SUFFIX 
+#endif
+
+#define ED25519_FN3(fn,suffix) fn##suffix
+#define ED25519_FN2(fn,suffix) ED25519_FN3(fn,suffix)
+#define ED25519_FN(fn)         ED25519_FN2(fn,ED25519_SUFFIX)
+
+#include "ed25519-donna.h"
+#include "ed25519.h"
+#include "ed25519-randombytes.h"
+#include "ed25519-hash.h"
+
+/*
+       Generates a (extsk[0..31]) and aExt (extsk[32..63])
+*/
+
+DONNA_INLINE static void
+ed25519_extsk(hash_512bits extsk, const ed25519_secret_key sk) {
+       ed25519_hash(extsk, sk, 32);
+       extsk[0] &= 248;
+       extsk[31] &= 127;
+       extsk[31] |= 64;
+}
+
+static void
+ed25519_hram(hash_512bits hram, const ed25519_signature RS, const ed25519_public_key pk, const unsigned char *m, size_t mlen) {
+       ed25519_hash_context ctx;
+       ed25519_hash_init(&ctx);
+       ed25519_hash_update(&ctx, RS, 32);
+       ed25519_hash_update(&ctx, pk, 32);
+       ed25519_hash_update(&ctx, m, mlen);
+       ed25519_hash_final(&ctx, hram);
+}
+
+void
+ED25519_FN(ed25519_publickey) (const ed25519_secret_key sk, ed25519_public_key pk) {
+       bignum256modm a;
+       ge25519 ALIGN(16) A;
+       hash_512bits extsk;
+
+       /* A = aB */
+       ed25519_extsk(extsk, sk);
+       expand256_modm(a, extsk, 32);
+       ge25519_scalarmult_base_niels(&A, ge25519_niels_base_multiples, a);
+       ge25519_pack(pk, &A);
+}
+
+
+void
+ED25519_FN(ed25519_sign) (const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS) {
+       ed25519_hash_context ctx;
+       bignum256modm r, S, a;
+       ge25519 ALIGN(16) R;
+       hash_512bits extsk, hashr, hram;
+
+       ed25519_extsk(extsk, sk);
+
+       /* r = H(aExt[32..64], m) */
+       ed25519_hash_init(&ctx);
+       ed25519_hash_update(&ctx, extsk + 32, 32);
+       ed25519_hash_update(&ctx, m, mlen);
+       ed25519_hash_final(&ctx, hashr);
+       expand256_modm(r, hashr, 64);
+
+       /* R = rB */
+       ge25519_scalarmult_base_niels(&R, ge25519_niels_base_multiples, r);
+       ge25519_pack(RS, &R);
+
+       /* S = H(R,A,m).. */
+       ed25519_hram(hram, RS, pk, m, mlen);
+       expand256_modm(S, hram, 64);
+
+       /* S = H(R,A,m)a */
+       expand256_modm(a, extsk, 32);
+       mul256_modm(S, S, a);
+
+       /* S = (r + H(R,A,m)a) */
+       add256_modm(S, S, r);
+
+       /* S = (r + H(R,A,m)a) mod L */ 
+       contract256_modm(RS + 32, S);
+}
+
+int
+ED25519_FN(ed25519_sign_open) (const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS) {
+       ge25519 ALIGN(16) R, A;
+       hash_512bits hash;
+       bignum256modm hram, S;
+       unsigned char checkR[32];
+
+       if ((RS[63] & 224) || !ge25519_unpack_negative_vartime(&A, pk))
+               return -1;
+
+       /* hram = H(R,A,m) */
+       ed25519_hram(hash, RS, pk, m, mlen);
+       expand256_modm(hram, hash, 64);
+
+       /* S */
+       expand256_modm(S, RS + 32, 32);
+
+       /* SB - H(R,A,m)A */
+       ge25519_double_scalarmult_vartime(&R, &A, hram, S);
+       ge25519_pack(checkR, &R);
+
+       /* check that R = SB - H(R,A,m)A */
+       return ed25519_verify(RS, checkR, 32) ? 0 : -1;
+}
+
+#include "ed25519-donna-batchverify.h"
+
+/*
+       Fast Curve25519 basepoint scalar multiplication
+*/
+
+void
+ED25519_FN(curved25519_scalarmult_basepoint) (curved25519_key pk, const curved25519_key e) {
+       curved25519_key ec;
+       bignum256modm s;
+       bignum25519 ALIGN(16) yplusz, zminusy;
+       ge25519 ALIGN(16) p;
+       size_t i;
+
+       /* clamp */
+       for (i = 0; i < 32; i++) ec[i] = e[i];
+       ec[0] &= 248;
+       ec[31] &= 127;
+       ec[31] |= 64;
+
+       expand_raw256_modm(s, ec);
+
+       /* scalar * basepoint */
+       ge25519_scalarmult_base_niels(&p, ge25519_niels_base_multiples, s);
+
+       /* u = (y + z) / (z - y) */
+       curve25519_add(yplusz, p.y, p.z);
+       curve25519_sub(zminusy, p.z, p.y);
+       curve25519_recip(zminusy, zminusy);
+       curve25519_mul(yplusz, yplusz, zminusy);
+       curve25519_contract(pk, yplusz);
+}
+

diff --git a/tests/ed25519-donna/ed25519.h b/tests/ed25519-donna/ed25519.h
new file mode 100644 (file)
index 0000000..dc86675
--- /dev/null
+++ b/tests/ed25519-donna/ed25519.h
@@ -0,0 +1,30 @@
+#ifndef ED25519_H
+#define ED25519_H
+
+#include <stdlib.h>
+
+#if defined(__cplusplus)
+extern "C" {
+#endif
+
+typedef unsigned char ed25519_signature[64];
+typedef unsigned char ed25519_public_key[32];
+typedef unsigned char ed25519_secret_key[32];
+
+typedef unsigned char curved25519_key[32];
+
+void ed25519_publickey(const ed25519_secret_key sk, ed25519_public_key pk);
+int ed25519_sign_open(const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS);
+void ed25519_sign(const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS);
+
+int ed25519_sign_open_batch(const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid);
+
+void ed25519_randombytes_unsafe(void *out, size_t count);
+
+void curved25519_scalarmult_basepoint(curved25519_key pk, const curved25519_key e);
+
+#if defined(__cplusplus)
+}
+#endif
+
+#endif // ED25519_H

diff --git a/tests/ed25519-donna/modm-donna-32bit.h b/tests/ed25519-donna/modm-donna-32bit.h
new file mode 100644 (file)
index 0000000..dfd76be
--- /dev/null
+++ b/tests/ed25519-donna/modm-donna-32bit.h
@@ -0,0 +1,469 @@
+/*
+       Public domain by Andrew M. <liquidsun@gmail.com>
+*/
+
+
+/*
+       Arithmetic modulo the group order n = 2^252 +  27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989
+
+       k = 32
+       b = 1 << 8 = 256
+       m = 2^252 + 27742317777372353535851937790883648493 = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
+       mu = floor( b^(k*2) / m ) = 0xfffffffffffffffffffffffffffffffeb2106215d086329a7ed9ce5a30a2c131b
+*/
+
+#define bignum256modm_bits_per_limb 30
+#define bignum256modm_limb_size 9
+
+typedef uint32_t bignum256modm_element_t;
+typedef bignum256modm_element_t bignum256modm[9];
+
+static const bignum256modm modm_m = {
+       0x1cf5d3ed, 0x20498c69, 0x2f79cd65, 0x37be77a8,
+       0x00000014,     0x00000000, 0x00000000, 0x00000000,
+       0x00001000
+};
+
+static const bignum256modm modm_mu = {
+       0x0a2c131b, 0x3673968c, 0x06329a7e, 0x01885742,
+       0x3fffeb21, 0x3fffffff, 0x3fffffff, 0x3fffffff,
+       0x000fffff
+};
+
+static bignum256modm_element_t
+lt_modm(bignum256modm_element_t a, bignum256modm_element_t b) {
+       return (a - b) >> 31;
+}
+
+/* see HAC, Alg. 14.42 Step 4 */
+static void
+reduce256_modm(bignum256modm r) {
+       bignum256modm t;
+       bignum256modm_element_t b = 0, pb, mask;
+
+       /* t = r - m */
+       pb = 0;
+       pb += modm_m[0]; b = lt_modm(r[0], pb); t[0] = (r[0] - pb + (b << 30)); pb = b;
+       pb += modm_m[1]; b = lt_modm(r[1], pb); t[1] = (r[1] - pb + (b << 30)); pb = b;
+       pb += modm_m[2]; b = lt_modm(r[2], pb); t[2] = (r[2] - pb + (b << 30)); pb = b;
+       pb += modm_m[3]; b = lt_modm(r[3], pb); t[3] = (r[3] - pb + (b << 30)); pb = b;
+       pb += modm_m[4]; b = lt_modm(r[4], pb); t[4] = (r[4] - pb + (b << 30)); pb = b;
+       pb += modm_m[5]; b = lt_modm(r[5], pb); t[5] = (r[5] - pb + (b << 30)); pb = b;
+       pb += modm_m[6]; b = lt_modm(r[6], pb); t[6] = (r[6] - pb + (b << 30)); pb = b;
+       pb += modm_m[7]; b = lt_modm(r[7], pb); t[7] = (r[7] - pb + (b << 30)); pb = b;
+       pb += modm_m[8]; b = lt_modm(r[8], pb); t[8] = (r[8] - pb + (b << 16));
+
+       /* keep r if r was smaller than m */
+       mask = b - 1;
+       r[0] ^= mask & (r[0] ^ t[0]);
+       r[1] ^= mask & (r[1] ^ t[1]);
+       r[2] ^= mask & (r[2] ^ t[2]);
+       r[3] ^= mask & (r[3] ^ t[3]);
+       r[4] ^= mask & (r[4] ^ t[4]);
+       r[5] ^= mask & (r[5] ^ t[5]);
+       r[6] ^= mask & (r[6] ^ t[6]);
+       r[7] ^= mask & (r[7] ^ t[7]);
+       r[8] ^= mask & (r[8] ^ t[8]);
+}
+
+/*
+       Barrett reduction,  see HAC, Alg. 14.42
+
+       Instead of passing in x, pre-process in to q1 and r1 for efficiency
+*/
+static void
+barrett_reduce256_modm(bignum256modm r, const bignum256modm q1, const bignum256modm r1) {
+       bignum256modm q3, r2;
+       uint64_t c;
+       bignum256modm_element_t f, b, pb;
+
+       /* q1 = x >> 248 = 264 bits = 9 30 bit elements
+          q2 = mu * q1
+          q3 = (q2 / 256(32+1)) = q2 / (2^8)^(32+1) = q2 >> 264 */
+       c  = mul32x32_64(modm_mu[0], q1[7]) + mul32x32_64(modm_mu[1], q1[6]) + mul32x32_64(modm_mu[2], q1[5]) + mul32x32_64(modm_mu[3], q1[4]) + mul32x32_64(modm_mu[4], q1[3]) + mul32x32_64(modm_mu[5], q1[2]) + mul32x32_64(modm_mu[6], q1[1]) + mul32x32_64(modm_mu[7], q1[0]); 
+       c >>= 30;
+       c += mul32x32_64(modm_mu[0], q1[8]) + mul32x32_64(modm_mu[1], q1[7]) + mul32x32_64(modm_mu[2], q1[6]) + mul32x32_64(modm_mu[3], q1[5]) + mul32x32_64(modm_mu[4], q1[4]) + mul32x32_64(modm_mu[5], q1[3]) + mul32x32_64(modm_mu[6], q1[2]) + mul32x32_64(modm_mu[7], q1[1]) + mul32x32_64(modm_mu[8], q1[0]);
+       f = (bignum256modm_element_t)c; q3[0] = (f >> 24) & 0x3f; c >>= 30;
+       c += mul32x32_64(modm_mu[1], q1[8]) + mul32x32_64(modm_mu[2], q1[7]) + mul32x32_64(modm_mu[3], q1[6]) + mul32x32_64(modm_mu[4], q1[5]) + mul32x32_64(modm_mu[5], q1[4]) + mul32x32_64(modm_mu[6], q1[3]) + mul32x32_64(modm_mu[7], q1[2]) + mul32x32_64(modm_mu[8], q1[1]);
+       f = (bignum256modm_element_t)c; q3[0] |= (f << 6) & 0x3fffffff; q3[1] = (f >> 24) & 0x3f; c >>= 30;
+       c += mul32x32_64(modm_mu[2], q1[8]) + mul32x32_64(modm_mu[3], q1[7]) + mul32x32_64(modm_mu[4], q1[6]) + mul32x32_64(modm_mu[5], q1[5]) + mul32x32_64(modm_mu[6], q1[4]) + mul32x32_64(modm_mu[7], q1[3]) + mul32x32_64(modm_mu[8], q1[2]);
+       f = (bignum256modm_element_t)c; q3[1] |= (f << 6) & 0x3fffffff; q3[2] = (f >> 24) & 0x3f; c >>= 30;
+       c += mul32x32_64(modm_mu[3], q1[8]) + mul32x32_64(modm_mu[4], q1[7]) + mul32x32_64(modm_mu[5], q1[6]) + mul32x32_64(modm_mu[6], q1[5]) + mul32x32_64(modm_mu[7], q1[4]) + mul32x32_64(modm_mu[8], q1[3]);
+       f = (bignum256modm_element_t)c; q3[2] |= (f << 6) & 0x3fffffff; q3[3] = (f >> 24) & 0x3f; c >>= 30;
+       c += mul32x32_64(modm_mu[4], q1[8]) + mul32x32_64(modm_mu[5], q1[7]) + mul32x32_64(modm_mu[6], q1[6]) + mul32x32_64(modm_mu[7], q1[5]) + mul32x32_64(modm_mu[8], q1[4]);
+       f = (bignum256modm_element_t)c; q3[3] |= (f << 6) & 0x3fffffff; q3[4] = (f >> 24) & 0x3f; c >>= 30;
+       c += mul32x32_64(modm_mu[5], q1[8]) + mul32x32_64(modm_mu[6], q1[7]) + mul32x32_64(modm_mu[7], q1[6]) + mul32x32_64(modm_mu[8], q1[5]);
+       f = (bignum256modm_element_t)c; q3[4] |= (f << 6) & 0x3fffffff; q3[5] = (f >> 24) & 0x3f; c >>= 30;
+       c += mul32x32_64(modm_mu[6], q1[8]) + mul32x32_64(modm_mu[7], q1[7]) + mul32x32_64(modm_mu[8], q1[6]);
+       f = (bignum256modm_element_t)c; q3[5] |= (f << 6) & 0x3fffffff; q3[6] = (f >> 24) & 0x3f; c >>= 30;
+       c += mul32x32_64(modm_mu[7], q1[8]) + mul32x32_64(modm_mu[8], q1[7]);
+       f = (bignum256modm_element_t)c; q3[6] |= (f << 6) & 0x3fffffff; q3[7] = (f >> 24) & 0x3f; c >>= 30;
+       c += mul32x32_64(modm_mu[8], q1[8]);
+       f = (bignum256modm_element_t)c; q3[7] |= (f << 6) & 0x3fffffff; q3[8] = (bignum256modm_element_t)(c >> 24);
+
+       /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1)
+          r2 = (q3 * m) mod (256^(32+1)) = (q3 * m) & ((1 << 264) - 1) */
+       c = mul32x32_64(modm_m[0], q3[0]);
+       r2[0] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(modm_m[0], q3[1]) + mul32x32_64(modm_m[1], q3[0]);
+       r2[1] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(modm_m[0], q3[2]) + mul32x32_64(modm_m[1], q3[1]) + mul32x32_64(modm_m[2], q3[0]);
+       r2[2] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(modm_m[0], q3[3]) + mul32x32_64(modm_m[1], q3[2]) + mul32x32_64(modm_m[2], q3[1]) + mul32x32_64(modm_m[3], q3[0]);
+       r2[3] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(modm_m[0], q3[4]) + mul32x32_64(modm_m[1], q3[3]) + mul32x32_64(modm_m[2], q3[2]) + mul32x32_64(modm_m[3], q3[1]) + mul32x32_64(modm_m[4], q3[0]);
+       r2[4] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(modm_m[0], q3[5]) + mul32x32_64(modm_m[1], q3[4]) + mul32x32_64(modm_m[2], q3[3]) + mul32x32_64(modm_m[3], q3[2]) + mul32x32_64(modm_m[4], q3[1]) + mul32x32_64(modm_m[5], q3[0]);
+       r2[5] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(modm_m[0], q3[6]) + mul32x32_64(modm_m[1], q3[5]) + mul32x32_64(modm_m[2], q3[4]) + mul32x32_64(modm_m[3], q3[3]) + mul32x32_64(modm_m[4], q3[2]) + mul32x32_64(modm_m[5], q3[1]) + mul32x32_64(modm_m[6], q3[0]);
+       r2[6] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(modm_m[0], q3[7]) + mul32x32_64(modm_m[1], q3[6]) + mul32x32_64(modm_m[2], q3[5]) + mul32x32_64(modm_m[3], q3[4]) + mul32x32_64(modm_m[4], q3[3]) + mul32x32_64(modm_m[5], q3[2]) + mul32x32_64(modm_m[6], q3[1]) + mul32x32_64(modm_m[7], q3[0]);
+       r2[7] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(modm_m[0], q3[8]) + mul32x32_64(modm_m[1], q3[7]) + mul32x32_64(modm_m[2], q3[6]) + mul32x32_64(modm_m[3], q3[5]) + mul32x32_64(modm_m[4], q3[4]) + mul32x32_64(modm_m[5], q3[3]) + mul32x32_64(modm_m[6], q3[2]) + mul32x32_64(modm_m[7], q3[1]) + mul32x32_64(modm_m[8], q3[0]);
+       r2[8] = (bignum256modm_element_t)(c & 0xffffff);
+
+       /* r = r1 - r2
+          if (r < 0) r += (1 << 264) */
+       pb = 0;
+       pb += r2[0]; b = lt_modm(r1[0], pb); r[0] = (r1[0] - pb + (b << 30)); pb = b;
+       pb += r2[1]; b = lt_modm(r1[1], pb); r[1] = (r1[1] - pb + (b << 30)); pb = b;
+       pb += r2[2]; b = lt_modm(r1[2], pb); r[2] = (r1[2] - pb + (b << 30)); pb = b;
+       pb += r2[3]; b = lt_modm(r1[3], pb); r[3] = (r1[3] - pb + (b << 30)); pb = b;
+       pb += r2[4]; b = lt_modm(r1[4], pb); r[4] = (r1[4] - pb + (b << 30)); pb = b;
+       pb += r2[5]; b = lt_modm(r1[5], pb); r[5] = (r1[5] - pb + (b << 30)); pb = b;
+       pb += r2[6]; b = lt_modm(r1[6], pb); r[6] = (r1[6] - pb + (b << 30)); pb = b;
+       pb += r2[7]; b = lt_modm(r1[7], pb); r[7] = (r1[7] - pb + (b << 30)); pb = b;
+       pb += r2[8]; b = lt_modm(r1[8], pb); r[8] = (r1[8] - pb + (b << 24));
+
+       reduce256_modm(r);
+       reduce256_modm(r);
+}
+
+/* addition modulo m */
+static void
+add256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) {
+       bignum256modm_element_t c;
+
+       c  = x[0] + y[0]; r[0] = c & 0x3fffffff; c >>= 30;
+       c += x[1] + y[1]; r[1] = c & 0x3fffffff; c >>= 30;
+       c += x[2] + y[2]; r[2] = c & 0x3fffffff; c >>= 30;
+       c += x[3] + y[3]; r[3] = c & 0x3fffffff; c >>= 30;
+       c += x[4] + y[4]; r[4] = c & 0x3fffffff; c >>= 30;
+       c += x[5] + y[5]; r[5] = c & 0x3fffffff; c >>= 30;
+       c += x[6] + y[6]; r[6] = c & 0x3fffffff; c >>= 30;
+       c += x[7] + y[7]; r[7] = c & 0x3fffffff; c >>= 30;
+       c += x[8] + y[8]; r[8] = c;
+
+       reduce256_modm(r);
+}
+
+/* multiplication modulo m */
+static void 
+mul256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) {
+       bignum256modm r1, q1;
+       uint64_t c;
+       bignum256modm_element_t f;
+
+       /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1)
+          q1 = x >> 248 = 264 bits = 9 30 bit elements */
+       c = mul32x32_64(x[0], y[0]);
+       f = (bignum256modm_element_t)c; r1[0] = (f & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(x[0], y[1]) + mul32x32_64(x[1], y[0]);
+       f = (bignum256modm_element_t)c; r1[1] = (f & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(x[0], y[2]) + mul32x32_64(x[1], y[1]) + mul32x32_64(x[2], y[0]);
+       f = (bignum256modm_element_t)c; r1[2] = (f & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(x[0], y[3]) + mul32x32_64(x[1], y[2]) + mul32x32_64(x[2], y[1]) + mul32x32_64(x[3], y[0]);
+       f = (bignum256modm_element_t)c; r1[3] = (f & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(x[0], y[4]) + mul32x32_64(x[1], y[3]) + mul32x32_64(x[2], y[2]) + mul32x32_64(x[3], y[1]) + mul32x32_64(x[4], y[0]);
+       f = (bignum256modm_element_t)c; r1[4] = (f & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(x[0], y[5]) + mul32x32_64(x[1], y[4]) + mul32x32_64(x[2], y[3]) + mul32x32_64(x[3], y[2]) + mul32x32_64(x[4], y[1]) + mul32x32_64(x[5], y[0]);
+       f = (bignum256modm_element_t)c; r1[5] = (f & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(x[0], y[6]) + mul32x32_64(x[1], y[5]) + mul32x32_64(x[2], y[4]) + mul32x32_64(x[3], y[3]) + mul32x32_64(x[4], y[2]) + mul32x32_64(x[5], y[1]) + mul32x32_64(x[6], y[0]);
+       f = (bignum256modm_element_t)c; r1[6] = (f & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(x[0], y[7]) + mul32x32_64(x[1], y[6]) + mul32x32_64(x[2], y[5]) + mul32x32_64(x[3], y[4]) + mul32x32_64(x[4], y[3]) + mul32x32_64(x[5], y[2]) + mul32x32_64(x[6], y[1]) + mul32x32_64(x[7], y[0]);
+       f = (bignum256modm_element_t)c; r1[7] = (f & 0x3fffffff); c >>= 30;
+       c += mul32x32_64(x[0], y[8]) + mul32x32_64(x[1], y[7]) + mul32x32_64(x[2], y[6]) + mul32x32_64(x[3], y[5]) + mul32x32_64(x[4], y[4]) + mul32x32_64(x[5], y[3]) + mul32x32_64(x[6], y[2]) + mul32x32_64(x[7], y[1]) + mul32x32_64(x[8], y[0]);
+       f = (bignum256modm_element_t)c; r1[8] = (f & 0x00ffffff); q1[0] = (f >> 8) & 0x3fffff; c >>= 30;
+       c += mul32x32_64(x[1], y[8]) + mul32x32_64(x[2], y[7]) + mul32x32_64(x[3], y[6]) + mul32x32_64(x[4], y[5]) + mul32x32_64(x[5], y[4]) + mul32x32_64(x[6], y[3]) + mul32x32_64(x[7], y[2]) + mul32x32_64(x[8], y[1]);
+       f = (bignum256modm_element_t)c; q1[0] = (q1[0] | (f << 22)) & 0x3fffffff; q1[1] = (f >> 8) & 0x3fffff; c >>= 30;        
+       c += mul32x32_64(x[2], y[8]) + mul32x32_64(x[3], y[7]) + mul32x32_64(x[4], y[6]) + mul32x32_64(x[5], y[5]) + mul32x32_64(x[6], y[4]) + mul32x32_64(x[7], y[3]) + mul32x32_64(x[8], y[2]);
+       f = (bignum256modm_element_t)c; q1[1] = (q1[1] | (f << 22)) & 0x3fffffff; q1[2] = (f >> 8) & 0x3fffff; c >>= 30;        
+       c += mul32x32_64(x[3], y[8]) + mul32x32_64(x[4], y[7]) + mul32x32_64(x[5], y[6]) + mul32x32_64(x[6], y[5]) + mul32x32_64(x[7], y[4]) + mul32x32_64(x[8], y[3]);
+       f = (bignum256modm_element_t)c; q1[2] = (q1[2] | (f << 22)) & 0x3fffffff; q1[3] = (f >> 8) & 0x3fffff; c >>= 30;        
+       c += mul32x32_64(x[4], y[8]) + mul32x32_64(x[5], y[7]) + mul32x32_64(x[6], y[6]) + mul32x32_64(x[7], y[5]) + mul32x32_64(x[8], y[4]);
+       f = (bignum256modm_element_t)c; q1[3] = (q1[3] | (f << 22)) & 0x3fffffff; q1[4] = (f >> 8) & 0x3fffff; c >>= 30;        
+       c += mul32x32_64(x[5], y[8]) + mul32x32_64(x[6], y[7]) + mul32x32_64(x[7], y[6]) + mul32x32_64(x[8], y[5]);
+       f = (bignum256modm_element_t)c; q1[4] = (q1[4] | (f << 22)) & 0x3fffffff; q1[5] = (f >> 8) & 0x3fffff; c >>= 30;
+       c += mul32x32_64(x[6], y[8]) + mul32x32_64(x[7], y[7]) + mul32x32_64(x[8], y[6]);
+       f = (bignum256modm_element_t)c; q1[5] = (q1[5] | (f << 22)) & 0x3fffffff; q1[6] = (f >> 8) & 0x3fffff; c >>= 30;
+       c += mul32x32_64(x[7], y[8]) + mul32x32_64(x[8], y[7]);
+       f = (bignum256modm_element_t)c; q1[6] = (q1[6] | (f << 22)) & 0x3fffffff; q1[7] = (f >> 8) & 0x3fffff; c >>= 30;
+       c += mul32x32_64(x[8], y[8]);
+       f = (bignum256modm_element_t)c; q1[7] = (q1[7] | (f << 22)) & 0x3fffffff; q1[8] = (f >> 8) & 0x3fffff;
+
+       barrett_reduce256_modm(r, q1, r1);
+}
+
+static void
+expand256_modm(bignum256modm out, const unsigned char *in, size_t len) {
+       unsigned char work[64] = {0};
+       bignum256modm_element_t x[16];
+       bignum256modm q1;
+
+       memcpy(work, in, len);
+       x[0] = U8TO32_LE(work +  0);
+       x[1] = U8TO32_LE(work +  4);
+       x[2] = U8TO32_LE(work +  8);
+       x[3] = U8TO32_LE(work + 12);
+       x[4] = U8TO32_LE(work + 16);
+       x[5] = U8TO32_LE(work + 20);
+       x[6] = U8TO32_LE(work + 24);
+       x[7] = U8TO32_LE(work + 28);
+       x[8] = U8TO32_LE(work + 32);
+       x[9] = U8TO32_LE(work + 36);
+       x[10] = U8TO32_LE(work + 40);
+       x[11] = U8TO32_LE(work + 44);
+       x[12] = U8TO32_LE(work + 48);
+       x[13] = U8TO32_LE(work + 52);
+       x[14] = U8TO32_LE(work + 56);
+       x[15] = U8TO32_LE(work + 60);
+
+       /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) */
+       out[0] = (                         x[0]) & 0x3fffffff;
+       out[1] = ((x[ 0] >> 30) | (x[ 1] <<  2)) & 0x3fffffff;
+       out[2] = ((x[ 1] >> 28) | (x[ 2] <<  4)) & 0x3fffffff;
+       out[3] = ((x[ 2] >> 26) | (x[ 3] <<  6)) & 0x3fffffff;
+       out[4] = ((x[ 3] >> 24) | (x[ 4] <<  8)) & 0x3fffffff;
+       out[5] = ((x[ 4] >> 22) | (x[ 5] << 10)) & 0x3fffffff;
+       out[6] = ((x[ 5] >> 20) | (x[ 6] << 12)) & 0x3fffffff;
+       out[7] = ((x[ 6] >> 18) | (x[ 7] << 14)) & 0x3fffffff;
+       out[8] = ((x[ 7] >> 16) | (x[ 8] << 16)) & 0x00ffffff;
+
+       /* 8*31 = 248 bits, no need to reduce */
+       if (len < 32)
+               return;
+
+       /* q1 = x >> 248 = 264 bits = 9 30 bit elements */
+       q1[0] = ((x[ 7] >> 24) | (x[ 8] <<  8)) & 0x3fffffff;
+       q1[1] = ((x[ 8] >> 22) | (x[ 9] << 10)) & 0x3fffffff;
+       q1[2] = ((x[ 9] >> 20) | (x[10] << 12)) & 0x3fffffff;
+       q1[3] = ((x[10] >> 18) | (x[11] << 14)) & 0x3fffffff;
+       q1[4] = ((x[11] >> 16) | (x[12] << 16)) & 0x3fffffff;
+       q1[5] = ((x[12] >> 14) | (x[13] << 18)) & 0x3fffffff;
+       q1[6] = ((x[13] >> 12) | (x[14] << 20)) & 0x3fffffff;
+       q1[7] = ((x[14] >> 10) | (x[15] << 22)) & 0x3fffffff;
+       q1[8] = ((x[15] >>  8)                );        
+
+       barrett_reduce256_modm(out, q1, out);
+}
+
+static void
+expand_raw256_modm(bignum256modm out, const unsigned char in[32]) {
+       bignum256modm_element_t x[8];
+
+       x[0] = U8TO32_LE(in +  0);
+       x[1] = U8TO32_LE(in +  4);
+       x[2] = U8TO32_LE(in +  8);
+       x[3] = U8TO32_LE(in + 12);
+       x[4] = U8TO32_LE(in + 16);
+       x[5] = U8TO32_LE(in + 20);
+       x[6] = U8TO32_LE(in + 24);
+       x[7] = U8TO32_LE(in + 28);
+
+       out[0] = (                         x[0]) & 0x3fffffff;
+       out[1] = ((x[ 0] >> 30) | (x[ 1] <<  2)) & 0x3fffffff;
+       out[2] = ((x[ 1] >> 28) | (x[ 2] <<  4)) & 0x3fffffff;
+       out[3] = ((x[ 2] >> 26) | (x[ 3] <<  6)) & 0x3fffffff;
+       out[4] = ((x[ 3] >> 24) | (x[ 4] <<  8)) & 0x3fffffff;
+       out[5] = ((x[ 4] >> 22) | (x[ 5] << 10)) & 0x3fffffff;
+       out[6] = ((x[ 5] >> 20) | (x[ 6] << 12)) & 0x3fffffff;
+       out[7] = ((x[ 6] >> 18) | (x[ 7] << 14)) & 0x3fffffff;
+       out[8] = ((x[ 7] >> 16)                ) & 0x0000ffff;
+}
+
+static void
+contract256_modm(unsigned char out[32], const bignum256modm in) {
+       U32TO8_LE(out +  0, (in[0]      ) | (in[1] << 30));
+       U32TO8_LE(out +  4, (in[1] >>  2) | (in[2] << 28));
+       U32TO8_LE(out +  8, (in[2] >>  4) | (in[3] << 26));
+       U32TO8_LE(out + 12, (in[3] >>  6) | (in[4] << 24));
+       U32TO8_LE(out + 16, (in[4] >>  8) | (in[5] << 22));
+       U32TO8_LE(out + 20, (in[5] >> 10) | (in[6] << 20));
+       U32TO8_LE(out + 24, (in[6] >> 12) | (in[7] << 18));
+       U32TO8_LE(out + 28, (in[7] >> 14) | (in[8] << 16));
+}
+
+
+
+static void
+contract256_window4_modm(signed char r[64], const bignum256modm in) {
+       char carry;
+       signed char *quads = r;
+       bignum256modm_element_t i, j, v;
+
+       for (i = 0; i < 8; i += 2) {
+               v = in[i];
+               for (j = 0; j < 7; j++) {
+                       *quads++ = (v & 15);
+                       v >>= 4;
+               }
+               v |= (in[i+1] << 2);
+               for (j = 0; j < 8; j++) {
+                       *quads++ = (v & 15);
+                       v >>= 4;
+               }
+       }
+       v = in[8];
+       *quads++ = (v & 15); v >>= 4;
+       *quads++ = (v & 15); v >>= 4;
+       *quads++ = (v & 15); v >>= 4;
+       *quads++ = (v & 15); v >>= 4;
+
+       /* making it signed */
+       carry = 0;
+       for(i = 0; i < 63; i++) {
+               r[i] += carry;
+               r[i+1] += (r[i] >> 4);
+               r[i] &= 15;
+               carry = (r[i] >> 3);
+               r[i] -= (carry << 4);
+       }
+       r[63] += carry;
+}
+
+static void
+contract256_slidingwindow_modm(signed char r[256], const bignum256modm s, int windowsize) {
+       int i,j,k,b;
+       int m = (1 << (windowsize - 1)) - 1, soplen = 256;
+       signed char *bits = r;
+       bignum256modm_element_t v;
+
+       /* first put the binary expansion into r  */
+       for (i = 0; i < 8; i++) {
+               v = s[i];
+               for (j = 0; j < 30; j++, v >>= 1)
+                       *bits++ = (v & 1);
+       }
+       v = s[8];
+       for (j = 0; j < 16; j++, v >>= 1)
+               *bits++ = (v & 1);
+
+       /* Making it sliding window */
+       for (j = 0; j < soplen; j++) {
+               if (!r[j])
+                       continue;
+
+               for (b = 1; (b < (soplen - j)) && (b <= 6); b++) {
+                       if ((r[j] + (r[j + b] << b)) <= m) {
+                               r[j] += r[j + b] << b;
+                               r[j + b] = 0;
+                       } else if ((r[j] - (r[j + b] << b)) >= -m) {
+                               r[j] -= r[j + b] << b;
+                               for (k = j + b; k < soplen; k++) {
+                                       if (!r[k]) {
+                                               r[k] = 1;
+                                               break;
+                                       }
+                                       r[k] = 0;
+                               }
+                       } else if (r[j + b]) {
+                               break;
+                       }
+               }
+       }
+}
+
+
+/*
+       helpers for batch verifcation, are allowed to be vartime
+*/
+
+/* out = a - b, a must be larger than b */
+static void
+sub256_modm_batch(bignum256modm out, const bignum256modm a, const bignum256modm b, size_t limbsize) {
+       size_t i = 0;
+       bignum256modm_element_t carry = 0;
+       switch (limbsize) {
+               case 8: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
+               case 7: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
+               case 6: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
+               case 5: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
+               case 4: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
+               case 3: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
+               case 2: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
+               case 1: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
+               case 0: 
+               default: out[i] = (a[i] - b[i]) - carry;
+       }
+}
+
+
+/* is a < b */
+static int
+lt256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) {
+       switch (limbsize) {
+               case 8: if (a[8] > b[8]) return 0; if (a[8] < b[8]) return 1;
+               case 7: if (a[7] > b[7]) return 0; if (a[7] < b[7]) return 1;
+               case 6: if (a[6] > b[6]) return 0; if (a[6] < b[6]) return 1;
+               case 5: if (a[5] > b[5]) return 0; if (a[5] < b[5]) return 1;
+               case 4: if (a[4] > b[4]) return 0; if (a[4] < b[4]) return 1;
+               case 3: if (a[3] > b[3]) return 0; if (a[3] < b[3]) return 1;
+               case 2: if (a[2] > b[2]) return 0; if (a[2] < b[2]) return 1;
+               case 1: if (a[1] > b[1]) return 0; if (a[1] < b[1]) return 1;
+               case 0: if (a[0] > b[0]) return 0; if (a[0] < b[0]) return 1;
+       }
+       return 0;
+}
+
+/* is a <= b */
+static int
+lte256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) {
+       switch (limbsize) {
+               case 8: if (a[8] > b[8]) return 0; if (a[8] < b[8]) return 1;
+               case 7: if (a[7] > b[7]) return 0; if (a[7] < b[7]) return 1;
+               case 6: if (a[6] > b[6]) return 0; if (a[6] < b[6]) return 1;
+               case 5: if (a[5] > b[5]) return 0; if (a[5] < b[5]) return 1;
+               case 4: if (a[4] > b[4]) return 0; if (a[4] < b[4]) return 1;
+               case 3: if (a[3] > b[3]) return 0; if (a[3] < b[3]) return 1;
+               case 2: if (a[2] > b[2]) return 0; if (a[2] < b[2]) return 1;
+               case 1: if (a[1] > b[1]) return 0; if (a[1] < b[1]) return 1;
+               case 0: if (a[0] > b[0]) return 0; if (a[0] < b[0]) return 1;
+       }
+       return 1;
+}
+
+
+/* is a == 0 */
+static int
+iszero256_modm_batch(const bignum256modm a) {
+       size_t i;
+       for (i = 0; i < 9; i++)
+               if (a[i])
+                       return 0;
+       return 1;
+}
+
+/* is a == 1 */
+static int
+isone256_modm_batch(const bignum256modm a) {
+       size_t i;
+       if (a[0] != 1)
+               return 0;
+       for (i = 1; i < 9; i++)
+               if (a[i])
+                       return 0;
+       return 1;
+}
+
+/* can a fit in to (at most) 128 bits */
+static int
+isatmost128bits256_modm_batch(const bignum256modm a) {
+       uint32_t mask =
+               ((a[8]             )  | /*  16 */
+                (a[7]             )  | /*  46 */
+                (a[6]             )  | /*  76 */
+                (a[5]             )  | /* 106 */
+                (a[4] & 0x3fffff00));  /* 128 */
+
+       return (mask == 0);
+}