add schnorr sign-to-contract opening with parse/ serialize functions

Adapted from bitcoin-core#589.

Co-authored-by: Marko Bencun <mbencun+pgp@gmail.com>

Author: jonasnick

include/secp256k1_schnorrsig.h

@@ -1,6 +1,8 @@
 #ifndef SECP256K1_SCHNORRSIG_H
 #define SECP256K1_SCHNORRSIG_H
 
+#include <stdint.h>
+
 #include "secp256k1.h"
 #include "secp256k1_extrakeys.h"
 
@@ -13,6 +15,60 @@ extern "C" {
  *  (https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki).
  */
 
+/** Data structure that holds a sign-to-contract ("s2c") opening information.
+ *  Sign-to-contract allows a signer to commit to some data as part of a signature. It
+ *  can be used as an Out-argument in certain signing functions.
+ *
+ *  This structure is not opaque, but it is strongly discouraged to read or write to
+ *  it directly.
+ *
+ *  The exact representation of data inside is implementation defined and not
+ *  guaranteed to be portable between different platforms or versions. It can
+ *  be safely copied/moved.
+ */
+typedef struct {
+    /* magic is set during initialization */
+    uint64_t magic;
+    /* Public nonce before applying the sign-to-contract commitment */
+    secp256k1_pubkey original_pubnonce;
+    /* Byte indicating if signing algorithm negated the nonce. Alternatively when
+     * verifying we could compute the EC commitment of original_pubnonce and the
+     * data and negate if this would not be a valid nonce. But this would prevent
+     * batch verification of sign-to-contract commitments. */
+    int nonce_is_negated;
+} secp256k1_schnorrsig_s2c_opening;
+
+/** Parse a sign-to-contract opening.
+ *
+ *  Returns: 1 if the opening was fully valid.
+ *           0 if the opening could not be parsed or is invalid.
+ *  Args:    ctx: a secp256k1 context object.
+ *  Out: opening: pointer to an opening object. If 1 is returned, it is set to a
+ *                 parsed version of input. If not, its value is undefined.
+ *  In:  input33: pointer to 33-byte array with a serialized opening
+ *
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorrsig_s2c_opening_parse(
+    const secp256k1_context* ctx,
+    secp256k1_schnorrsig_s2c_opening* opening,
+    const unsigned char *input33
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Serialize a sign-to-contract opening into a byte sequence.
+ *
+ *  Returns: 1 if the opening was successfully serialized.
+ *           0 if the opening was not initializaed.
+ *  Args:     ctx: a secp256k1 context object.
+ *  Out: output33: pointer to a 33-byte array to place the serialized opening
+ *                 in.
+ *  In:   opening: a pointer to an initialized `secp256k1_schnorrsig_s2c_opening`.
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorrsig_s2c_opening_serialize(
+    const secp256k1_context* ctx,
+    unsigned char *output33,
+    const secp256k1_schnorrsig_s2c_opening* opening
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
 /** A pointer to a function to deterministically generate a nonce.
  *
  *  Same as secp256k1_nonce function with the exception of accepting an

src/modules/schnorrsig/main_impl.h

@@ -11,6 +11,60 @@
 #include "../../../include/secp256k1_schnorrsig.h"
 #include "../../hash.h"
 
+static uint64_t s2c_opening_magic = 0x5d0520b8b7f2b168ULL;
+
+static void secp256k1_schnorrsig_s2c_opening_init(secp256k1_schnorrsig_s2c_opening *opening) {
+    opening->magic = s2c_opening_magic;
+    opening->nonce_is_negated = 0;
+}
+
+static int secp256k1_schnorrsig_s2c_commit_is_init(const secp256k1_schnorrsig_s2c_opening *opening) {
+    return opening->magic == s2c_opening_magic;
+}
+
+/* s2c_opening is serialized as 33 bytes containing the compressed original pubnonce. In addition to
+ * holding the EVEN or ODD tag, the first byte has the third bit set to 1 if the nonce was negated.
+ * The remaining bits in the first byte are 0. */
+int secp256k1_schnorrsig_s2c_opening_parse(const secp256k1_context* ctx, secp256k1_schnorrsig_s2c_opening* opening, const unsigned char *input33) {
+    unsigned char pk_ser[33];
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(opening != NULL);
+    ARG_CHECK(input33 != NULL);
+
+    secp256k1_schnorrsig_s2c_opening_init(opening);
+    /* Return 0 if unknown bits are set */
+    if ((input33[0] & ~0x06) != 0) {
+        return 0;
+    }
+    /* Read nonce_is_negated bit */
+    opening->nonce_is_negated = input33[0] & (1 << 2);
+    memcpy(pk_ser, input33, sizeof(pk_ser));
+    /* Unset nonce_is_negated bit to allow parsing the public key */
+    pk_ser[0] &= ~(1 << 2);
+    return secp256k1_ec_pubkey_parse(ctx, &opening->original_pubnonce, &pk_ser[0], 33);
+}
+
+int secp256k1_schnorrsig_s2c_opening_serialize(const secp256k1_context* ctx, unsigned char *output33, const secp256k1_schnorrsig_s2c_opening* opening) {
+    size_t outputlen = 33;
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(output33 != NULL);
+    ARG_CHECK(opening != NULL);
+    ARG_CHECK(secp256k1_schnorrsig_s2c_commit_is_init(opening));
+
+    if (!secp256k1_ec_pubkey_serialize(ctx, &output33[0], &outputlen, &opening->original_pubnonce, SECP256K1_EC_COMPRESSED)) {
+        return 0;
+    }
+    /* Verify that ec_pubkey_serialize only sets the first two bits of the
+     * first byte, otherwise this function doesn't make any sense */
+    VERIFY_CHECK(output33[0] == 0x02 || output33[0] == 0x03);
+    if (opening->nonce_is_negated) {
+        /* Set nonce_is_negated bit */
+        output33[0] |= (1 << 2);
+    }
+    return 1;
+}
+
 /* Initializes SHA256 with fixed midstate. This midstate was computed by applying
  * SHA256 to SHA256("BIP0340/nonce")||SHA256("BIP0340/nonce"). */
 static void secp256k1_nonce_function_bip340_sha256_tagged(secp256k1_sha256 *sha) {

src/modules/schnorrsig/tests_impl.h

@@ -965,7 +965,63 @@ static void test_schnorrsig_taproot(void) {
     CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk_bytes, pk_parity, &internal_pk, tweak) == 1);
 }
 
-static void run_schnorrsig_tests(void) {
+void test_s2c_opening(void) {
+    int i = 0;
+    unsigned char output[33];
+    /* First byte 0x06 means that nonce_is_negated and EVEN tag for the
+     * following compressed pubkey (which is valid). */
+    unsigned char input[33] = {
+            0x06, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+            0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+            0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+            0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+            0x02
+    };
+    secp256k1_schnorrsig_s2c_opening opening;
+
+    /* Uninitialized opening can't be serialized. Actually testing that would be
+     * undefined behavior. Therefore we simulate it by setting the opening to 0. */
+    memset(&opening, 0, sizeof(opening));
+    CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_s2c_opening_serialize(CTX, output, &opening));
+
+    /* First parsing, then serializing works */
+    CHECK(secp256k1_schnorrsig_s2c_opening_parse(CTX, &opening, input) == 1);
+    CHECK(secp256k1_schnorrsig_s2c_opening_serialize(CTX, output, &opening) == 1);
+    CHECK(secp256k1_schnorrsig_s2c_opening_parse(CTX, &opening, input) == 1);
+
+    {
+        /* Invalid pubkey makes parsing fail */
+        unsigned char input_tmp[33];
+        memcpy(input_tmp, input, sizeof(input_tmp));
+        /* Pubkey oddness tag is invalid */
+        input_tmp[0] = 0;
+        CHECK(secp256k1_schnorrsig_s2c_opening_parse(CTX, &opening, input_tmp) == 0);
+        /* nonce_is_negated bit is set but pubkey oddness tag is invalid */
+        input_tmp[0] = 5;
+        CHECK(secp256k1_schnorrsig_s2c_opening_parse(CTX, &opening, input_tmp) == 0);
+        /* Unknown bit is set */
+        input_tmp[0] = 8;
+        CHECK(secp256k1_schnorrsig_s2c_opening_parse(CTX, &opening, input_tmp) == 0);
+    }
+
+    /* Try parsing and serializing a bunch of openings */
+    do {
+        /* This is expected to fail in about 50% of iterations because the
+         * points' x-coordinates are uniformly random */
+        if (secp256k1_schnorrsig_s2c_opening_parse(CTX, &opening, input) == 1) {
+            CHECK(secp256k1_schnorrsig_s2c_opening_serialize(CTX, output, &opening) == 1);
+            CHECK(memcmp(output, input, sizeof(output)) == 0);
+        }
+        testrand256(&input[1]);
+        /* Set pubkey oddness tag to first bit of input[1] */
+        input[0] = (input[1] & 1) + 2;
+        /* Set nonce_is_negated bit to input[1]'s 3rd bit */
+        input[0] |= (input[1] & (1 << 2));
+        i++;
+    } while(i < COUNT);
+}
+
+void run_schnorrsig_tests(void) {
     int i;
     run_nonce_function_bip340_tests();
 
@@ -977,6 +1033,7 @@ static void run_schnorrsig_tests(void) {
         test_schnorrsig_sign_verify();
     }
     test_schnorrsig_taproot();
+    test_s2c_opening();
 }
 
 #endif