Merge elementsproject/secp256k1-zkp#201: rangeproof: add secp256k1_rangeproof_max_size function to estimate rangeproof size
6b6ced9839f2576898ba334e7ed2d550a2062b32 rangeproof: add more max_size tests (Jonas Nick)
34876ecb5facfc274580c0549df14e6664c03d82 rangeproof: add more static test vectors (Jonas Nick)
310e5170619b03977d471e9f7461bbaf5b607ca9 rangeproof: add a bunch more testing (Andrew Poelstra)
f1410cb67a2de45f8b1b1c14862656c0ae09ff87 rangeproof: add secp256k1_rangeproof_max_size function to estimate rangeproof size (Andrew Poelstra)
Pull request description:
ACKs for top commit:
real-or-random:
tACK 6b6ced9839f2576898ba334e7ed2d550a2062b32
jonasnick:
ACK 6b6ced9839f2576898ba334e7ed2d550a2062b32
Tree-SHA512: 421dfb0824f67f3822be729dc7f11e4654a21e32e3a6c5565e09b191ec57710b33a73c3d09c08f1d767d769f0957006ac257eabe00a2f37f88b99377644e8741
This commit is contained in:
Jonas Nick
commit
f7e9a8544f
@ -10,6 +10,15 @@ extern "C" {
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#include <stdint.h>
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/** Length of a message that can be embedded into a maximally-sized rangeproof
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*
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* It is not be possible to fit a message of this size into a non-maximally-sized
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* rangeproof, but it is guaranteed that any embeddable message can fit into an
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* array of this size. This constant is intended to be used for memory allocations
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* and sanity checks.
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*/
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#define SECP256K1_RANGEPROOF_MAX_MESSAGE_LEN 3968
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/** Opaque data structure that stores a Pedersen commitment
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*
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* The exact representation of data inside is implementation defined and not
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@ -287,6 +296,33 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_rangeproof_info(
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size_t plen
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) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
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/** Returns an upper bound on the size of a rangeproof with the given parameters
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*
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* An actual rangeproof may be smaller, for example if the actual value
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* is less than both the provided `max_value` and 2^`min_bits`, or if
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* the `exp` parameter to `secp256k1_rangeproof_sign` is set such that
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* the proven range is compressed. In particular this function will always
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* overestimate the size of single-value proofs. Also, if `min_value`
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* is set to 0 in the proof, the result will usually, but not always,
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* be 8 bytes smaller than if a nonzero value had been passed.
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*
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* The goal of this function is to provide a useful upper bound for
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* memory allocation or fee estimation purposes, without requiring
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* too many parameters be fixed in advance.
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*
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* To obtain the size of largest possible proof, set `max_value` to
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* `UINT64_MAX` (and `min_bits` to any valid value such as 0).
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*
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* In: ctx: pointer to a context object
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* max_value: the maximum value that might be passed for `value` for the proof.
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* min_bits: the value that will be passed as `min_bits` for the proof.
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*/
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SECP256K1_API SECP256K1_WARN_UNUSED_RESULT size_t secp256k1_rangeproof_max_size(
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const secp256k1_context* ctx,
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uint64_t max_value,
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int min_bits
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) SECP256K1_ARG_NONNULL(1);
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# ifdef __cplusplus
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}
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# endif
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@ -304,4 +304,16 @@ int secp256k1_rangeproof_sign(const secp256k1_context* ctx, unsigned char *proof
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proof, plen, min_value, &commitp, blind, nonce, exp, min_bits, value, message, msg_len, extra_commit, extra_commit_len, &genp);
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}
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size_t secp256k1_rangeproof_max_size(const secp256k1_context* ctx, uint64_t max_value, int min_bits) {
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const int val_mantissa = max_value > 0 ? 64 - secp256k1_clz64_var(max_value) : 1;
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const int mantissa = min_bits > val_mantissa ? min_bits : val_mantissa;
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const size_t rings = (mantissa + 1) / 2;
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const size_t npubs = rings * 4 - 2 * (mantissa % 2);
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VERIFY_CHECK(ctx != NULL);
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(void) ctx;
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return 10 + 32 * (npubs + rings - 1) + 32 + ((rings - 1 + 7) / 8);
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}
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#endif
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@ -225,6 +225,11 @@ static void test_rangeproof_api(const secp256k1_context *none, const secp256k1_c
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CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, commit.data, &min_value, &max_value, &commit, proof, len, NULL, 0, NULL) == 0);
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CHECK(*ecount == 29);
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}
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/* This constant is hardcoded in these tests and elsewhere, so we
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* consider it to be part of the API and test it here. */
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CHECK(secp256k1_rangeproof_max_size(none, 0, 64) == 5134);
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CHECK(secp256k1_rangeproof_max_size(none, UINT64_MAX, 0) == 5134);
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}
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static void test_api(void) {
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@ -431,6 +436,7 @@ static void test_rangeproof(void) {
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len = 5134;
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CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, vmin, &commit, blind, commit.data, 0, 0, v, input_message, input_message_len, NULL, 0, secp256k1_generator_h));
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CHECK(len <= 5134);
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CHECK(len <= secp256k1_rangeproof_max_size(ctx, v, 0));
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mlen = 4096;
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CHECK(secp256k1_rangeproof_rewind(ctx, blindout, &vout, message, &mlen, commit.data, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
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if (input_message != NULL) {
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@ -447,6 +453,7 @@ static void test_rangeproof(void) {
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len = 5134;
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CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, v, &commit, blind, commit.data, -1, 64, v, NULL, 0, NULL, 0, secp256k1_generator_h));
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CHECK(len <= 73);
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CHECK(len <= secp256k1_rangeproof_max_size(ctx, v, 0));
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CHECK(secp256k1_rangeproof_rewind(ctx, blindout, &vout, NULL, NULL, commit.data, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
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CHECK(secp256k1_memcmp_var(blindout, blind, 32) == 0);
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CHECK(vout == v);
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@ -457,6 +464,7 @@ static void test_rangeproof(void) {
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len = 5134;
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CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, v, &commit, blind, commit.data, -1, 64, v, NULL, 0, message_short, sizeof(message_short), secp256k1_generator_h));
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CHECK(len <= 73);
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CHECK(len <= secp256k1_rangeproof_max_size(ctx, v, 0));
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CHECK(!secp256k1_rangeproof_rewind(ctx, blindout, &vout, NULL, NULL, commit.data, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
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CHECK(!secp256k1_rangeproof_rewind(ctx, blindout, &vout, NULL, NULL, commit.data, &minv, &maxv, &commit, proof, len, message_long, sizeof(message_long), secp256k1_generator_h));
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CHECK(secp256k1_rangeproof_rewind(ctx, blindout, &vout, NULL, NULL, commit.data, &minv, &maxv, &commit, proof, len, message_short, sizeof(message_short), secp256k1_generator_h));
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@ -472,6 +480,7 @@ static void test_rangeproof(void) {
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for (i = 0; i < 19; i++) {
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len = 5134;
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CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, 0, &commit, blind, commit.data, i, 0, v, NULL, 0, NULL, 0, secp256k1_generator_h));
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CHECK(len <= secp256k1_rangeproof_max_size(ctx, v, 0));
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CHECK(secp256k1_rangeproof_verify(ctx, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
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CHECK(len <= 5134);
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CHECK(minv <= v);
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@ -487,6 +496,7 @@ static void test_rangeproof(void) {
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len = 5134;
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CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, 0, &commit, blind, commit.data, 0, 3, v, NULL, 0, NULL, 0, secp256k1_generator_h));
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CHECK(len <= 5134);
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CHECK(len <= secp256k1_rangeproof_max_size(ctx, v, 3));
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/* Test if trailing bytes are rejected. */
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proof[len] = v;
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CHECK(!secp256k1_rangeproof_verify(ctx, &minv, &maxv, &commit, proof, len + 1, NULL, 0, secp256k1_generator_h));
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@ -521,6 +531,7 @@ static void test_rangeproof(void) {
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}
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CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, vmin, &commit, blind, commit.data, exp, min_bits, v, NULL, 0, NULL, 0, secp256k1_generator_h));
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CHECK(len <= 5134);
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CHECK(len <= secp256k1_rangeproof_max_size(ctx, v, min_bits));
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mlen = 4096;
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CHECK(secp256k1_rangeproof_rewind(ctx, blindout, &vout, message, &mlen, commit.data, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
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for (j = 0; j < mlen; j++) {
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@ -599,8 +610,97 @@ static void test_rangeproof_null_blinder(void) {
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}
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}
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static void test_single_value_proof(uint64_t val) {
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unsigned char proof[5000];
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secp256k1_pedersen_commitment commit;
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unsigned char blind[32];
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unsigned char blind_out[32];
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unsigned char nonce[32];
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const unsigned char message[1] = " "; /* no message will fit into a single-value proof */
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unsigned char message_out[sizeof(proof)] = { 0 };
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size_t plen = sizeof(proof);
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uint64_t min_val_out = 0;
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uint64_t max_val_out = 0;
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uint64_t val_out = 0;
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size_t m_len_out = 0;
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secp256k1_testrand256(blind);
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secp256k1_testrand256(nonce);
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CHECK(secp256k1_pedersen_commit(ctx, &commit, blind, val, secp256k1_generator_h));
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CHECK(secp256k1_rangeproof_sign(
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ctx,
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proof, &plen,
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val, /* min_val */
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&commit, blind, nonce,
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-1, /* exp: -1 is magic value to indicate a single-value proof */
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0, /* min_bits */
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val, /* val */
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message, sizeof(message), /* Will cause this to fail */
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NULL, 0,
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secp256k1_generator_h
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) == 0);
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plen = sizeof(proof);
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CHECK(secp256k1_rangeproof_sign(
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ctx,
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proof, &plen,
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val, /* min_val */
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&commit, blind, nonce,
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-1, /* exp: -1 is magic value to indicate a single-value proof */
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0, /* min_bits */
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val, /* val */
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NULL, 0,
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NULL, 0,
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secp256k1_generator_h
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) == 1);
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CHECK(plen <= secp256k1_rangeproof_max_size(ctx, val, 0));
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/* Different proof sizes are unfortunate but is caused by `min_value` of
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* zero being special-cased and encoded more efficiently. */
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if (val == 0) {
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CHECK(plen == 65);
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} else {
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CHECK(plen == 73);
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}
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CHECK(secp256k1_rangeproof_verify(
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ctx,
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&min_val_out, &max_val_out,
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&commit,
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proof, plen,
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NULL, 0,
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secp256k1_generator_h
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) == 1);
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CHECK(min_val_out == val);
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CHECK(max_val_out == val);
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memset(message_out, 0, sizeof(message_out));
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m_len_out = sizeof(message_out);
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CHECK(secp256k1_rangeproof_rewind(
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ctx,
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blind_out, &val_out,
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message_out, &m_len_out,
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nonce,
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&min_val_out, &max_val_out,
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&commit,
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proof, plen,
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NULL, 0,
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secp256k1_generator_h
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));
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CHECK(val_out == val);
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CHECK(min_val_out == val);
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CHECK(max_val_out == val);
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CHECK(m_len_out == 0);
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CHECK(secp256k1_memcmp_var(blind, blind_out, 32) == 0);
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for (m_len_out = 0; m_len_out < sizeof(message_out); m_len_out++) {
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CHECK(message_out[m_len_out] == 0);
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}
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}
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#define MAX_N_GENS 30
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void test_multiple_generators(void) {
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static void test_multiple_generators(void) {
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const size_t n_inputs = (secp256k1_testrand32() % (MAX_N_GENS / 2)) + 1;
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const size_t n_outputs = (secp256k1_testrand32() % (MAX_N_GENS / 2)) + 1;
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const size_t n_generators = n_inputs + n_outputs;
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@ -662,7 +762,18 @@ void test_multiple_generators(void) {
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}
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void test_rangeproof_fixed_vectors(void) {
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const unsigned char vector_1[] = {
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size_t i;
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unsigned char blind[32];
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uint64_t value;
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uint64_t min_value;
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uint64_t max_value;
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secp256k1_pedersen_commitment pc;
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unsigned char message[4000] = {0};
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size_t m_len = sizeof(message);
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/* Vector 1: no message */
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{
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static const unsigned char vector_1[] = {
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0x62, 0x07, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x56, 0x02, 0x2a, 0x5c, 0x42, 0x0e, 0x1d,
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0x51, 0xe1, 0xb7, 0xf3, 0x69, 0x04, 0xb5, 0xbb, 0x9b, 0x41, 0x66, 0x14, 0xf3, 0x64, 0x42, 0x26,
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0xe3, 0xa7, 0x6a, 0x06, 0xbb, 0xa8, 0x5a, 0x49, 0x6f, 0x19, 0x76, 0xfb, 0xe5, 0x75, 0x77, 0x88,
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@ -705,25 +816,711 @@ void test_rangeproof_fixed_vectors(void) {
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0xa6, 0x45, 0xf6, 0xce, 0xcf, 0x48, 0xf6, 0x1e, 0x3d, 0xd2, 0xcf, 0xcb, 0x3a, 0xcd, 0xbb, 0x92,
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0x29, 0x24, 0x16, 0x7f, 0x8a, 0xa8, 0x5c, 0x0c, 0x45, 0x71, 0x33
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};
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const unsigned char commit_1[] = {
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static const unsigned char commit_1[] = {
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0x08,
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0xf5, 0x1e, 0x0d, 0xc5, 0x86, 0x78, 0x51, 0xa9, 0x00, 0x00, 0xef, 0x4d, 0xe2, 0x94, 0x60, 0x89,
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0x83, 0x04, 0xb4, 0x0e, 0x90, 0x10, 0x05, 0x1c, 0x7f, 0xd7, 0x33, 0x92, 0x1f, 0xe7, 0x74, 0x59
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};
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uint64_t min_value_1;
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uint64_t max_value_1;
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secp256k1_pedersen_commitment pc;
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static const unsigned char blind_1[] = {
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0x98, 0x44, 0xfc, 0x7a, 0x64, 0xa9, 0xca, 0xdf, 0xf3, 0x2f, 0x9f, 0x02, 0xba, 0x46, 0xc7, 0xd9,
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0x77, 0x47, 0xa4, 0xd3, 0x53, 0x17, 0xc6, 0x44, 0x30, 0x73, 0x84, 0xeb, 0x1f, 0xbe, 0xa1, 0xfb
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};
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CHECK(secp256k1_pedersen_commitment_parse(ctx, &pc, commit_1));
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CHECK(secp256k1_rangeproof_verify(
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ctx,
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&min_value_1, &max_value_1,
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&min_value, &max_value,
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&pc,
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vector_1, sizeof(vector_1),
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NULL, 0,
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secp256k1_generator_h
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));
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CHECK(min_value == 86);
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CHECK(max_value == 25586);
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CHECK(secp256k1_rangeproof_rewind(
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ctx,
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blind, &value,
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message, &m_len,
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pc.data,
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&min_value, &max_value,
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&pc,
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vector_1, sizeof(vector_1),
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NULL, 0,
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secp256k1_generator_h
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));
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CHECK(secp256k1_memcmp_var(blind, blind_1, 32) == 0);
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CHECK(value == 86);
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CHECK(min_value == 86);
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CHECK(max_value == 25586);
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CHECK(m_len == 448); /* length of the sidechannel in the proof */
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for (i = 0; i < m_len; i++) {
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/* No message encoded in this vector */
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CHECK(message[i] == 0);
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}
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}
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/* Vector 2: embedded message */
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{
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static const unsigned char vector_2[] = {
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0x40, 0x03, 0x00, 0x90, 0x1a, 0x61, 0x64, 0xbb, 0x85, 0x1a, 0x78, 0x35, 0x1e, 0xe0, 0xd5, 0x96,
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0x71, 0x0f, 0x18, 0x8e, 0xf3, 0x33, 0xf0, 0x75, 0xfe, 0xd6, 0xc6, 0x11, 0x6b, 0x42, 0x89, 0xea,
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0xa2, 0x0c, 0x89, 0x25, 0x37, 0x81, 0x10, 0xf9, 0xf0, 0x9b, 0xda, 0x68, 0x2a, 0xd9, 0x2e, 0x0c,
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0x45, 0x17, 0x54, 0x6d, 0x02, 0xd2, 0x21, 0x5d, 0xbc, 0x10, 0xf8, 0x8f, 0xf1, 0x92, 0x40, 0xa9,
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0xc7, 0x24, 0x00, 0x1b, 0xc8, 0x75, 0x0f, 0xf6, 0x8f, 0x93, 0x8b, 0x78, 0x62, 0x73, 0x3c, 0x86,
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0x4b, 0x61, 0x7c, 0x0f, 0xc6, 0x41, 0xc9, 0xb3, 0xc1, 0x30, 0x7f, 0xd4, 0xee, 0x9f, 0x37, 0x08,
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0x9b, 0x64, 0x23, 0xd5, 0xe6, 0x1a, 0x03, 0x54, 0x74, 0x9b, 0x0b, 0xae, 0x6f, 0x2b, 0x1e, 0xf5,
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0x40, 0x44, 0xaa, 0x12, 0xe8, 0xbd, 0xe0, 0xa6, 0x85, 0x89, 0xf1, 0xa9, 0xd0, 0x3f, 0x2e, 0xc6,
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0x1f, 0x11, 0xf5, 0x44, 0x69, 0x99, 0x31, 0x10, 0x2e, 0x64, 0xc6, 0x44, 0xdb, 0x47, 0x06, 0x6d,
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0xd5, 0xf2, 0x8d, 0x19, 0x00, 0x39, 0xb8, 0xca, 0xda, 0x5c, 0x1d, 0x83, 0xbd, 0xa3, 0x6d, 0xbf,
|
||||
0x97, 0xdd, 0x83, 0x86, 0xc9, 0x56, 0xe2, 0xbb, 0x37, 0x4b, 0x2d, 0xb5, 0x9d, 0xf2, 0x7a, 0x6a,
|
||||
0x25, 0x47, 0xfa, 0x03, 0x05, 0xc5, 0xda, 0x73, 0xe1, 0x96, 0x15, 0x21, 0x23, 0xe5, 0xef, 0x55,
|
||||
0x36, 0xdd, 0xf1, 0xb1, 0x3f, 0x33, 0x1a, 0x91, 0x6c, 0x73, 0x64, 0xd3, 0x88, 0xe7, 0xc6, 0xc9,
|
||||
0x04, 0x29, 0xae, 0x55, 0x27, 0xa0, 0x80, 0x60, 0xaf, 0x0c, 0x09, 0x2f, 0xc8, 0x1b, 0xe6, 0x16,
|
||||
0x9e, 0xed, 0x29, 0xc7, 0x93, 0xce, 0xc7, 0x0d, 0xdf, 0x1f, 0x28, 0xba, 0xf3, 0x38, 0xc3, 0xaa,
|
||||
0x99, 0xd9, 0x21, 0x41, 0xb8, 0x10, 0xa5, 0x48, 0x37, 0xec, 0x60, 0xda, 0x64, 0x5a, 0x73, 0x55,
|
||||
0xd7, 0xff, 0x23, 0xfa, 0xf6, 0xc6, 0xf4, 0xe2, 0xca, 0x99, 0x2f, 0x30, 0x36, 0x48, 0x73, 0x8b,
|
||||
0x57, 0xa6, 0x62, 0x12, 0xa3, 0xe7, 0x5c, 0xa8, 0xd1, 0xe6, 0x85, 0x05, 0x59, 0xfe, 0x2b, 0x44,
|
||||
0xe4, 0x73, 0x1c, 0xc3, 0x56, 0x32, 0x07, 0x65, 0x4a, 0x58, 0xaf, 0x2b, 0x3f, 0x36, 0xca, 0xb4,
|
||||
0x1d, 0x5c, 0x2a, 0x46, 0x1f, 0xf7, 0x63, 0x59, 0x4f, 0x2b, 0xd0, 0xf6, 0xfc, 0xcf, 0x04, 0x09,
|
||||
0xb7, 0x65, 0x1b
|
||||
};
|
||||
static const unsigned char commit_2[] = {
|
||||
0x09,
|
||||
0x25, 0xa4, 0xbd, 0xc4, 0x57, 0x69, 0xeb, 0x4f, 0x34, 0x0f, 0xea, 0xb8, 0xe4, 0x72, 0x04, 0x54,
|
||||
0x06, 0xe5, 0xd6, 0x85, 0x15, 0x42, 0xea, 0x6e, 0x1d, 0x11, 0x11, 0x9c, 0x56, 0xf8, 0x10, 0x45
|
||||
};
|
||||
static const unsigned char blind_2[] = {
|
||||
0xdc, 0x79, 0x07, 0x89, 0x2d, 0xc4, 0xe3, 0x76, 0xf9, 0x13, 0x38, 0xd6, 0x4b, 0x46, 0xed, 0x9d,
|
||||
0x9b, 0xf6, 0x70, 0x3d, 0x04, 0xcf, 0x96, 0x8c, 0xfd, 0xb5, 0xff, 0x0a, 0x06, 0xc7, 0x08, 0x8b
|
||||
};
|
||||
static const unsigned char message_2[] = "When I see my own likeness in the depths of someone else's consciousness, I always experience a moment of panic.";
|
||||
|
||||
CHECK(secp256k1_pedersen_commitment_parse(ctx, &pc, commit_2));
|
||||
CHECK(secp256k1_rangeproof_verify(
|
||||
ctx,
|
||||
&min_value, &max_value,
|
||||
&pc,
|
||||
vector_2, sizeof(vector_2),
|
||||
NULL, 0,
|
||||
secp256k1_generator_h
|
||||
));
|
||||
CHECK(min_value == 0);
|
||||
CHECK(max_value == 15);
|
||||
|
||||
CHECK(secp256k1_rangeproof_rewind(
|
||||
ctx,
|
||||
blind, &value,
|
||||
message, &m_len,
|
||||
pc.data,
|
||||
&min_value, &max_value,
|
||||
&pc,
|
||||
vector_2, sizeof(vector_2),
|
||||
NULL, 0,
|
||||
secp256k1_generator_h
|
||||
));
|
||||
|
||||
CHECK(secp256k1_memcmp_var(blind, blind_2, 32) == 0);
|
||||
CHECK(value == 11);
|
||||
CHECK(min_value == 0);
|
||||
CHECK(max_value == 15);
|
||||
CHECK(m_len == 192); /* length of the sidechannel in the proof */
|
||||
CHECK(secp256k1_memcmp_var(message, message_2, sizeof(message_2)) == 0);
|
||||
for (i = sizeof(message_2); i < m_len; i++) {
|
||||
CHECK(message[i] == 0);
|
||||
}
|
||||
}
|
||||
|
||||
/* Vector 3: single-value proof of UINT64_MAX */
|
||||
{
|
||||
static const unsigned char vector_3[] = {
|
||||
0x20, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xdc, 0x7d, 0x0b, 0x79, 0x0e, 0xaf, 0x41,
|
||||
0xa5, 0x8e, 0x9b, 0x0c, 0x5b, 0xa3, 0xee, 0x7d, 0xfd, 0x3d, 0x6b, 0xf3, 0xac, 0x04, 0x8a, 0x43,
|
||||
0x75, 0xb0, 0xb7, 0x0e, 0x92, 0xd7, 0xdf, 0xf0, 0x76, 0xc4, 0xa5, 0xb6, 0x2f, 0xf1, 0xb5, 0xfb,
|
||||
0xb4, 0xb6, 0x29, 0xea, 0x34, 0x9b, 0x16, 0x30, 0x0d, 0x06, 0xf1, 0xb4, 0x3f, 0x0d, 0x73, 0x59,
|
||||
0x75, 0xbf, 0x5d, 0x19, 0x59, 0xef, 0x11, 0xf0, 0xbf
|
||||
};
|
||||
static const unsigned char commit_3[] = {
|
||||
0x08,
|
||||
0xc7, 0xea, 0x40, 0x7d, 0x26, 0x38, 0xa2, 0x99, 0xb9, 0x40, 0x22, 0x78, 0x17, 0x57, 0x65, 0xb3,
|
||||
0x36, 0x82, 0x18, 0x42, 0xc5, 0x57, 0x04, 0x5e, 0x58, 0x5e, 0xf6, 0x40, 0x8b, 0x24, 0x73, 0x10
|
||||
};
|
||||
static const unsigned char nonce_3[] = {
|
||||
0x84, 0x50, 0x94, 0x69, 0xa3, 0x4b, 0x6c, 0x62, 0x1a, 0xc7, 0xe2, 0x0e, 0x07, 0x9a, 0x6f, 0x85,
|
||||
0x5f, 0x26, 0x50, 0xcd, 0x88, 0x5a, 0x9f, 0xaa, 0x23, 0x5e, 0x0a, 0xe0, 0x7e, 0xc5, 0xe9, 0xf1
|
||||
};
|
||||
static const unsigned char blind_3[] = {
|
||||
0x68, 0x89, 0x47, 0x8c, 0x77, 0xec, 0xcc, 0x2b, 0x65, 0x01, 0x78, 0x6b, 0x06, 0x8b, 0x38, 0x94,
|
||||
0xc0, 0x6b, 0x9b, 0x4c, 0x02, 0xa6, 0xc8, 0xf6, 0xc0, 0x34, 0xea, 0x35, 0x57, 0xf4, 0xe1, 0x37
|
||||
};
|
||||
|
||||
CHECK(secp256k1_pedersen_commitment_parse(ctx, &pc, commit_3));
|
||||
CHECK(secp256k1_rangeproof_verify(
|
||||
ctx,
|
||||
&min_value, &max_value,
|
||||
&pc,
|
||||
vector_3, sizeof(vector_3),
|
||||
NULL, 0,
|
||||
secp256k1_generator_h
|
||||
));
|
||||
CHECK(min_value == UINT64_MAX);
|
||||
CHECK(max_value == UINT64_MAX);
|
||||
|
||||
CHECK(secp256k1_rangeproof_rewind(
|
||||
ctx,
|
||||
blind, &value,
|
||||
message, &m_len,
|
||||
nonce_3,
|
||||
&min_value, &max_value,
|
||||
&pc,
|
||||
vector_3, sizeof(vector_3),
|
||||
NULL, 0,
|
||||
secp256k1_generator_h
|
||||
));
|
||||
CHECK(secp256k1_memcmp_var(blind, blind_3, 32) == 0);
|
||||
CHECK(value == UINT64_MAX);
|
||||
CHECK(min_value == UINT64_MAX);
|
||||
CHECK(max_value == UINT64_MAX);
|
||||
CHECK(m_len == 0);
|
||||
}
|
||||
}
|
||||
|
||||
static void print_vector_helper(unsigned char *buf, size_t buf_len) {
|
||||
size_t j;
|
||||
printf(" ");
|
||||
for (j = 0; j < buf_len; j++) {
|
||||
printf("0x%02x", buf[j]);
|
||||
if (j == buf_len-1) {
|
||||
printf(",\n");
|
||||
} else if ((j+1) % 16 != 0) {
|
||||
printf(", ");
|
||||
} else {
|
||||
printf(",\n");
|
||||
printf(" ");
|
||||
}
|
||||
}
|
||||
printf("};\n");
|
||||
}
|
||||
|
||||
static void print_vector(int i, unsigned char *proof, size_t p_len, secp256k1_pedersen_commitment *commit) {
|
||||
unsigned char commit_output[33];
|
||||
|
||||
printf("unsigned char vector_%d[] = {\n", i);
|
||||
print_vector_helper(proof, p_len);
|
||||
|
||||
CHECK(secp256k1_pedersen_commitment_serialize(ctx, commit_output, commit));
|
||||
printf("unsigned char commit_%d[] = {\n", i);
|
||||
print_vector_helper(commit_output, sizeof(commit_output));
|
||||
}
|
||||
|
||||
|
||||
/* Use same nonce and blinding value for all "reproducible" test vectors */
|
||||
static unsigned char vector_blind[] = {
|
||||
0x48, 0x26, 0xad, 0x41, 0x37, 0x4c, 0x25, 0x62, 0x52, 0x14, 0x78, 0x82, 0x89, 0x9c, 0x86, 0x27,
|
||||
0xa1, 0x19, 0xf6, 0xe1, 0xfa, 0x44, 0xe4, 0x29, 0x08, 0xa7, 0xb3, 0x45, 0xad, 0x35, 0xb2, 0xd9,
|
||||
};
|
||||
static unsigned char vector_nonce[] = {
|
||||
0xc8, 0x5c, 0x7e, 0x6c, 0xa1, 0xfa, 0x11, 0x35, 0xc7, 0x45, 0x24, 0x8a, 0xb5, 0x28, 0x6d, 0x1a,
|
||||
0x88, 0x00, 0xff, 0xca, 0x96, 0x0f, 0xc7, 0x77, 0xa5, 0x96, 0x7a, 0x5e, 0xf8, 0x88, 0x2d, 0xd4,
|
||||
};
|
||||
|
||||
/* Maximum length of a message that can be embedded into a rangeproof */
|
||||
void test_rangeproof_fixed_vectors_reproducible_helper(unsigned char *vector, size_t vector_len, unsigned char *commit, uint64_t *value_r, uint64_t *min_value_r, uint64_t *max_value_r, unsigned char *message_r, size_t *m_len_r) {
|
||||
secp256k1_pedersen_commitment pc;
|
||||
unsigned char blind_r[32];
|
||||
|
||||
CHECK(secp256k1_pedersen_commitment_parse(ctx, &pc, commit));
|
||||
CHECK(secp256k1_rangeproof_verify(
|
||||
ctx,
|
||||
min_value_r, max_value_r,
|
||||
&pc,
|
||||
vector, vector_len,
|
||||
NULL, 0,
|
||||
secp256k1_generator_h
|
||||
));
|
||||
|
||||
*m_len_r = SECP256K1_RANGEPROOF_MAX_MESSAGE_LEN;
|
||||
CHECK(secp256k1_rangeproof_rewind(
|
||||
ctx,
|
||||
blind_r, value_r,
|
||||
message_r, m_len_r,
|
||||
vector_nonce,
|
||||
min_value_r, max_value_r,
|
||||
&pc,
|
||||
vector, vector_len,
|
||||
NULL, 0,
|
||||
secp256k1_generator_h
|
||||
));
|
||||
CHECK(secp256k1_memcmp_var(blind_r, vector_blind, sizeof(vector_blind)) == 0);
|
||||
}
|
||||
|
||||
void test_rangeproof_fixed_vectors_reproducible(void) {
|
||||
uint64_t value_r;
|
||||
uint64_t min_value_r;
|
||||
uint64_t max_value_r;
|
||||
unsigned char message[SECP256K1_RANGEPROOF_MAX_MESSAGE_LEN], message_r[SECP256K1_RANGEPROOF_MAX_MESSAGE_LEN];
|
||||
size_t m_len_r;
|
||||
memset(message, 0xFF, sizeof(message));
|
||||
|
||||
/* Test maximum values for value, min_bits, m_len and exp */
|
||||
{
|
||||
uint64_t value = UINT64_MAX;
|
||||
uint64_t min_value = 0;
|
||||
size_t m_len = sizeof(message); /* maximum message length */
|
||||
|
||||
int min_bits = 64;
|
||||
int exp = 18;
|
||||
unsigned char proof[5126];
|
||||
size_t p_len = sizeof(proof);
|
||||
secp256k1_pedersen_commitment pc;
|
||||
|
||||
unsigned char vector_0[] = {
|
||||
0x40, 0x3f, 0xd1, 0x77, 0x65, 0x05, 0x87, 0x88, 0xd0, 0x3d, 0xb2, 0x24, 0x60, 0x7a, 0x08, 0x76,
|
||||
0xf8, 0x9f, 0x5a, 0x00, 0x73, 0x32, 0x6b, 0x5b, 0x0b, 0x59, 0xda, 0xa0, 0x6d, 0x2b, 0x66, 0xb8,
|
||||
0xfa, 0xa4, 0x8c, 0xf9, 0x78, 0x5e, 0xe3, 0xc7, 0x30, 0xea, 0xb4, 0x31, 0x77, 0x3a, 0xe4, 0xe3,
|
||||
0xf0, 0x76, 0x15, 0x21, 0x07, 0xb3, 0x6e, 0x84, 0x36, 0xdb, 0x45, 0xe6, 0x2b, 0x14, 0x50, 0xf3,
|
||||
0x53, 0x5d, 0x79, 0xf8, 0x6d, 0xc4, 0x99, 0x36, 0xa4, 0x7c, 0xc1, 0x14, 0x90, 0x99, 0xa8, 0x4b,
|
||||
0xf0, 0x01, 0x9f, 0xe7, 0xd4, 0xf9, 0xf1, 0x74, 0xb0, 0x7f, 0xf5, 0x90, 0x8d, 0x27, 0x9e, 0x61,
|
||||
0x9e, 0xc5, 0xd0, 0xa6, 0x32, 0xe8, 0x64, 0x4a, 0x02, 0x8b, 0xbf, 0xf7, 0xb8, 0x31, 0xa3, 0x4d,
|
||||
0x99, 0xbe, 0x12, 0x77, 0x4b, 0x07, 0x4a, 0xef, 0x75, 0xb4, 0xb3, 0x6e, 0x96, 0x95, 0xff, 0xe9,
|
||||
0xf7, 0xfc, 0x27, 0x17, 0x62, 0xfa, 0x99, 0xed, 0x00, 0x3c, 0xdd, 0xaa, 0xae, 0x9e, 0x80, 0xc1,
|
||||
0x29, 0x73, 0x4d, 0xfc, 0x41, 0xe6, 0xb4, 0x21, 0xe2, 0x62, 0x78, 0xf5, 0x46, 0xef, 0xcd, 0xcf,
|
||||
0x15, 0x2a, 0x05, 0x80, 0xb9, 0x95, 0xaa, 0xa5, 0xe9, 0x69, 0x5f, 0xfd, 0x58, 0x12, 0x00, 0x51,
|
||||
0xc4, 0x8f, 0xa2, 0xce, 0x03, 0x7f, 0x16, 0x19, 0xb1, 0x77, 0xc2, 0x98, 0xbe, 0xaa, 0x18, 0x6a,
|
||||
0x80, 0x0b, 0x4a, 0x81, 0x85, 0xc0, 0xc2, 0x62, 0xb3, 0xec, 0xae, 0xe7, 0x95, 0xbf, 0xd3, 0xe0,
|
||||
0xcd, 0xa3, 0xdd, 0x02, 0x70, 0x98, 0x6c, 0xf3, 0x4b, 0x43, 0xec, 0x8d, 0x07, 0xf4, 0x3e, 0xb0,
|
||||
0x00, 0x7c, 0xb7, 0x1a, 0x85, 0x9a, 0x94, 0xe8, 0x57, 0xc9, 0x7e, 0x24, 0xb4, 0x7a, 0x84, 0x17,
|
||||
0x08, 0xe6, 0xae, 0x91, 0x14, 0xcb, 0x94, 0xf3, 0xe9, 0x13, 0x25, 0x35, 0x54, 0xbf, 0x22, 0xe9,
|
||||
0xab, 0x8e, 0xa4, 0xa1, 0x18, 0x78, 0x6c, 0xee, 0x13, 0x26, 0xfc, 0x79, 0xf1, 0xe5, 0x51, 0x1e,
|
||||
0x0c, 0xac, 0xa5, 0xef, 0x0d, 0xee, 0xe8, 0x5f, 0x93, 0xa4, 0x88, 0x4a, 0x32, 0x95, 0x8a, 0x61,
|
||||
0x76, 0xd8, 0xac, 0x2d, 0x36, 0x9a, 0x6b, 0xa4, 0x7c, 0x30, 0xa3, 0x09, 0x38, 0xbb, 0xbc, 0x51,
|
||||
0x1a, 0x10, 0xae, 0x9e, 0x18, 0x9f, 0xd8, 0xc8, 0xce, 0xfa, 0x63, 0xab, 0x28, 0xc9, 0x76, 0x28,
|
||||
0x32, 0x61, 0x39, 0x83, 0x99, 0x0a, 0x41, 0xc0, 0x55, 0x1c, 0x65, 0x6c, 0xcf, 0xc3, 0x72, 0x47,
|
||||
0xe7, 0xb1, 0x99, 0xb5, 0x04, 0x44, 0xb9, 0xde, 0x4b, 0x83, 0x37, 0x66, 0xb2, 0xee, 0x9f, 0x07,
|
||||
0xf1, 0x4f, 0x4d, 0x59, 0xee, 0x37, 0x79, 0x47, 0x0e, 0x31, 0x70, 0x3a, 0xfa, 0xe0, 0xa1, 0xef,
|
||||
0xa2, 0x1f, 0xeb, 0xe8, 0xd7, 0x4f, 0xcb, 0xc2, 0xce, 0xdc, 0x82, 0xa6, 0x36, 0xed, 0x1d, 0xdd,
|
||||
0xa6, 0x40, 0x10, 0x38, 0x4f, 0x28, 0x90, 0xc3, 0xe3, 0xb6, 0xa4, 0x74, 0xbb, 0x56, 0x23, 0x01,
|
||||
0x3a, 0xb6, 0xb1, 0xad, 0x94, 0x4b, 0x52, 0x42, 0x0a, 0x9d, 0xd6, 0x89, 0xdd, 0xa7, 0x0f, 0x66,
|
||||
0xdb, 0x4e, 0x5b, 0xa4, 0xc2, 0x11, 0xd7, 0xd5, 0xf7, 0x0a, 0xf1, 0xc8, 0x35, 0x16, 0xc0, 0x7d,
|
||||
0x29, 0x5d, 0x5c, 0x62, 0x6b, 0xe0, 0x1b, 0x74, 0x8d, 0x14, 0x9e, 0x08, 0xb6, 0x18, 0x0d, 0x2b,
|
||||
0x3a, 0xfb, 0x22, 0x9e, 0xd6, 0x77, 0x05, 0x1b, 0xd4, 0x5d, 0x25, 0x27, 0x97, 0x40, 0x93, 0x58,
|
||||
0x35, 0xad, 0xc5, 0x19, 0x96, 0x62, 0xbb, 0x10, 0x2d, 0x4e, 0x24, 0x62, 0xc0, 0x1a, 0xe6, 0x12,
|
||||
0x84, 0xac, 0x1b, 0x5e, 0x25, 0xa9, 0xc7, 0x5d, 0xa0, 0x34, 0x85, 0x70, 0xf1, 0x08, 0xd8, 0xf9,
|
||||
0x1c, 0x1b, 0x71, 0xcc, 0x72, 0xec, 0xce, 0x30, 0x91, 0x67, 0xac, 0xe5, 0x4e, 0x51, 0xa6, 0x47,
|
||||
0x74, 0x09, 0x19, 0xee, 0x9d, 0x2d, 0x3f, 0xf2, 0x49, 0x5a, 0xf0, 0x6c, 0x8f, 0xe9, 0x1f, 0x10,
|
||||
0xcc, 0x32, 0x2f, 0x8d, 0x3e, 0xfa, 0xba, 0x0c, 0x37, 0x51, 0xe2, 0x3e, 0xcc, 0xdd, 0x81, 0xd5,
|
||||
0xef, 0xef, 0x56, 0x3a, 0xd2, 0x96, 0x10, 0xfb, 0x19, 0xce, 0x90, 0xbf, 0x82, 0x11, 0xf6, 0xe6,
|
||||
0x28, 0x7e, 0x4d, 0x16, 0x61, 0x87, 0xdd, 0xc5, 0x61, 0x5d, 0x85, 0xa9, 0x02, 0xea, 0xdf, 0x7a,
|
||||
0x2c, 0x92, 0xdd, 0xc3, 0xa3, 0xc9, 0xec, 0xd9, 0xc0, 0x54, 0xbd, 0xf2, 0x77, 0x00, 0x5e, 0x18,
|
||||
0x8c, 0x0a, 0x63, 0xdf, 0x8f, 0xf9, 0x1e, 0x45, 0x1c, 0xd1, 0xf7, 0x11, 0x1e, 0xbd, 0x20, 0x30,
|
||||
0x1c, 0x27, 0x45, 0xfe, 0xb7, 0xe6, 0x93, 0xae, 0x2a, 0xc1, 0xdc, 0xe2, 0xf6, 0xd1, 0x54, 0x42,
|
||||
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0x99, 0x49, 0xb7, 0xad, 0x33, 0xd6, 0x67, 0x81, 0xaf, 0x40, 0xa2, 0xbd, 0x71, 0x7e, 0x82, 0x66,
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0x8d, 0x97, 0x3b, 0x9d, 0x30, 0xe8, 0x4b, 0x4d, 0xcd, 0xf0, 0x1e, 0xfb, 0x33, 0xbd, 0xcd, 0xb2,
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0xca, 0x7e, 0x5d, 0xa2, 0xe5, 0x6a, 0xa1, 0xc0, 0xbd, 0xae, 0x8c, 0x65, 0x93, 0x9d, 0x53, 0x6f,
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0x8d, 0xce, 0x4f, 0xc2, 0xb1, 0x54, 0x7d, 0x7a, 0x59, 0x08, 0xc0, 0xaa, 0xfc, 0x12, 0xa9, 0x41,
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0x9b, 0x11, 0x3c, 0x24, 0x3a, 0x89, 0x8f, 0x2f, 0x5a, 0x49, 0x44, 0x64, 0x83, 0x17, 0xbe, 0xa2,
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0xff, 0x6f, 0xcb, 0x65, 0x04, 0x6f, 0x75, 0x4c, 0x5d, 0x15, 0x06, 0x7b, 0x3b, 0x3e, 0xc1, 0xed,
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0xcb, 0xdc, 0xde, 0x04, 0x03, 0x30, 0x74, 0xc2, 0x6b, 0x50, 0x53, 0x6b, 0x8c, 0xcd, 0x1b, 0xe7,
|
||||
0xd5, 0xf8, 0x42, 0xe5, 0x07, 0x16, 0xc3, 0x70, 0x83, 0x49, 0x25, 0xa4, 0x1e, 0x61, 0xa8, 0xc4,
|
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0x13, 0x82, 0xfe, 0x56, 0xd7, 0x04, 0xbe, 0x4d, 0x59, 0x05, 0xb8, 0x35, 0xcc, 0xd2, 0xaf, 0x40,
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0x24, 0xf3, 0xbc, 0x48, 0x58, 0x0e, 0x01, 0xe6, 0x47, 0x19, 0x9d, 0xb6, 0xe3, 0x6f, 0x17, 0x5e,
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0xab, 0x6c, 0xa3, 0x5a, 0x9a, 0xdd, 0x95, 0x2a, 0x18, 0x22, 0x42, 0x36, 0x07, 0xa0, 0x47, 0xb1,
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0x2e, 0x8f, 0xc8, 0x78, 0xcc, 0x7d, 0x16, 0x61, 0x5f, 0x34, 0x66, 0xee, 0x01, 0x17, 0x60, 0xa3,
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0x3f, 0x4d, 0xb1, 0xcc, 0xcc, 0x13, 0x99, 0x51, 0x3e, 0x78, 0x69, 0x7b, 0x83, 0x49, 0x5f, 0xf3,
|
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0x89, 0xa9, 0x9e, 0x24, 0x18, 0x08, 0x4d, 0xdb, 0x8a, 0xb1, 0xd8, 0xd7, 0xae, 0x30, 0x82, 0x4d,
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0x3d, 0x4f, 0xce, 0xbe, 0x17, 0xe5, 0x47, 0x5d, 0xa6, 0x03, 0x8c, 0xae, 0xe7, 0xa2, 0x63, 0xf3,
|
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0xe8, 0x88, 0x21, 0xf4, 0xfd, 0xa9, 0x32, 0x15, 0x93, 0x0c, 0xbe, 0x61, 0xe8, 0x35, 0x6c, 0xb5,
|
||||
0xc9, 0xa9, 0xec, 0x1c, 0x7f, 0x34, 0x5b, 0xb0, 0x80, 0x6d, 0x0a, 0x52, 0x87, 0x74, 0x12, 0x90,
|
||||
0x3a, 0xf7, 0x40, 0x41, 0xe1, 0x62, 0xa5, 0xb7, 0xf0, 0x5d, 0x45, 0x3e, 0x55, 0x1a, 0x30, 0xec,
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0x5d, 0x52, 0x00, 0x76, 0x38, 0x10, 0x0d, 0xf0, 0x2f, 0x7f, 0xf2, 0x3e, 0x34, 0x1f, 0x1a, 0xd9,
|
||||
0xf8, 0xb9, 0x86, 0xf9, 0xdc, 0x05, 0xe0, 0xcf, 0x28, 0x49, 0xfd, 0x21, 0x64, 0xf6, 0xa1, 0xc4,
|
||||
0xf7, 0xce, 0x91, 0xb2, 0x15, 0xdf, 0x82, 0x39, 0x30, 0x60, 0xf3, 0xd1, 0xa6, 0x18, 0xc4, 0x3b,
|
||||
0xf7, 0xd2, 0x64, 0xe8, 0xab, 0x67, 0x23, 0xb8, 0x2c, 0x57, 0x84, 0x17, 0xc0, 0x2c, 0x21, 0xfc,
|
||||
0x55, 0x8b, 0xb6, 0x06, 0xbf, 0x79, 0x7e, 0x29, 0x5a, 0xfb, 0x5c, 0xa5, 0x5a, 0xe4, 0x46, 0xac,
|
||||
0x16, 0x8e, 0xf4, 0x03, 0xb7, 0xbb, 0xb0, 0x7b, 0xbf, 0xd3, 0x84, 0xbe, 0xb5, 0x6a, 0xc8, 0x28,
|
||||
0xe8, 0x2c, 0x2d, 0x0b, 0x7d, 0x0a, 0x65, 0xd3, 0xee, 0x54, 0x8c, 0xbf, 0xd9, 0xda, 0x84, 0x21,
|
||||
0x80, 0x07, 0x68, 0x09, 0x75, 0xbd, 0xa8, 0xd0, 0xbf, 0xa0, 0xf3, 0xc7, 0xc5, 0xb5, 0xf2, 0xf8,
|
||||
0xf1, 0x74, 0x6e, 0x7d, 0xad, 0x80, 0xbd, 0x87, 0xe9, 0x83, 0x2e, 0xda, 0x61, 0x28, 0x03, 0x74,
|
||||
0xe5, 0x45, 0x74, 0x0d, 0x1f, 0x47, 0x46, 0x10, 0x7f, 0xef, 0x12, 0x9f, 0x78, 0xec, 0x03, 0xed,
|
||||
0x22, 0x86, 0x6f, 0x1a, 0x31, 0x14, 0xf4, 0x3a, 0x7f, 0xef, 0x98, 0x3e, 0x64, 0x86, 0xb9, 0x0e,
|
||||
0x5b, 0x0d, 0x55, 0xba, 0xcc, 0x6d, 0x04, 0xc7, 0x9c, 0x1e, 0xd4, 0xf7, 0xf0, 0x60, 0x6d, 0x54,
|
||||
0x75, 0x70, 0x3b, 0x99, 0xd3, 0x01, 0x9f, 0x34, 0x44, 0x98, 0xab, 0xd1, 0x6b, 0xc8, 0xaa, 0xfd,
|
||||
0xd9, 0x5a, 0xd3, 0xee, 0x5d, 0x2c, 0x54, 0x38, 0x06, 0x1f, 0x93, 0xb3, 0x5c, 0x87, 0x10, 0x5e,
|
||||
0xcb, 0xcd, 0xd3, 0x4a, 0x89, 0xd2, 0x0d, 0xac, 0xeb, 0x42, 0x67, 0x2b, 0xd1, 0x75, 0x12, 0x58,
|
||||
0xdd, 0x19, 0xe3, 0x21, 0x33, 0x75, 0xf6, 0x51, 0x25, 0xeb, 0xa6, 0x43, 0x44, 0x82, 0x64, 0xae,
|
||||
0xb8, 0x97, 0x01, 0xff, 0x17, 0x8f, 0xce, 0x96, 0xc8, 0xc3, 0x86, 0xa0, 0x05, 0xb2, 0x2c, 0x33,
|
||||
0x01, 0x27, 0x25, 0x84, 0x83, 0x85, 0x33, 0xe2, 0xd0, 0xc5, 0x65, 0x89, 0x85, 0x45, 0x81, 0x3f,
|
||||
0x2d, 0xb4, 0xb1, 0x8b, 0x1d, 0x04, 0x5d, 0x4c, 0xd8, 0x46, 0x8a, 0x04, 0x3a, 0x3b, 0xa7, 0x76,
|
||||
0x47, 0x5e, 0xcc, 0xc0, 0x16, 0xb2, 0x3a, 0x38, 0x9a, 0x6a, 0x50, 0x3a, 0x8b, 0x82, 0xb7, 0x6b,
|
||||
0xf2, 0x60, 0x53, 0x4e, 0xdf, 0x8a, 0x02, 0x9f, 0xc6, 0x27, 0x4f, 0xf5, 0x2a, 0xf1, 0xf1, 0x2f,
|
||||
0x4a, 0xaa, 0xc7, 0x94, 0xc0, 0xdc, 0xdb, 0x8c, 0x41, 0xd9, 0x16, 0x13, 0xa2, 0xae, 0x37, 0x2a,
|
||||
0x7e, 0x26, 0x6f, 0xdf, 0x46, 0x07, 0x74, 0x88, 0x62, 0xab, 0x28, 0x64, 0x12, 0x7c, 0xca, 0xd5,
|
||||
0xbb, 0x6f, 0x7f, 0x3b, 0x44, 0x99, 0x20, 0x93, 0x9a, 0xa0, 0xac, 0x17, 0xed, 0x82, 0xf9, 0x43,
|
||||
0xc2, 0x98, 0x6b, 0xcf, 0x54, 0x91, 0xfe, 0x3c, 0x9e, 0xfa, 0x7b, 0x57, 0x38, 0xe2, 0x64, 0x58,
|
||||
0x9c, 0xe0, 0x41, 0x95, 0x8a, 0xa0, 0xa3, 0x3d, 0x7b, 0x3e, 0x99, 0xea, 0xc7, 0xec, 0x82, 0xc8,
|
||||
0xa8, 0xae, 0xbd, 0xf9, 0x5c, 0x7e, 0xa2, 0x20, 0x78, 0xce, 0x4a, 0x6c, 0x74, 0x2a, 0xe7, 0x31,
|
||||
0xdb, 0xc1, 0x02, 0x49, 0x4b, 0x83, 0x0b, 0x0e, 0x7e, 0xeb, 0x69, 0x59, 0xf9, 0x3c, 0x13, 0x47,
|
||||
0xaf, 0xbd, 0x58, 0xec, 0x7f, 0xae, 0x7e, 0x4b, 0xf3, 0x3d, 0x18, 0xbf, 0xb0, 0x79, 0x92, 0x59,
|
||||
0x9e, 0x5f, 0x03, 0x30, 0x15, 0xba, 0xec, 0xd1, 0xaf, 0x2e, 0xf7, 0x88, 0xde, 0x50, 0xae, 0x9e,
|
||||
0x59, 0x14, 0xf3, 0xa5, 0x78, 0x25, 0xd7, 0xd9, 0x1a, 0x33, 0x81, 0x29, 0x8b, 0x93, 0xf6, 0xfa,
|
||||
0x90, 0x3d, 0x13, 0xaa, 0x0d, 0xa7, 0x8e, 0x79, 0xc0, 0x36, 0x45, 0x29, 0xa5, 0xf1, 0xfe, 0x92,
|
||||
0x1b, 0x57, 0x42, 0x58, 0xe0, 0x85, 0x15, 0xa2, 0xc9, 0xb1, 0x50, 0x08, 0x6a, 0x02, 0x46, 0xc6,
|
||||
0x1d, 0xd0, 0xf0, 0xb4, 0x5a, 0xcc, 0xd5, 0x54, 0x9d, 0xab, 0x13, 0x47, 0x9f, 0x82, 0x60, 0x9b,
|
||||
0x11, 0x64, 0x35, 0xfa, 0xef, 0x89, 0xb4, 0x87, 0x43, 0x48, 0x6e, 0x78, 0x64, 0x01, 0xbe, 0x09,
|
||||
0xd1, 0xd0, 0x40, 0xdf, 0x77, 0x6b, 0xee, 0x92, 0xc5, 0xff, 0x77, 0xcf, 0x20, 0x95, 0x36, 0x78,
|
||||
0x35, 0x1f, 0x1e, 0xaf, 0x4b, 0xa7, 0x66, 0x71, 0x9d, 0x5e, 0xb7, 0xd9, 0x70, 0x6e, 0xaa, 0x35,
|
||||
0x49, 0x3c, 0x9a, 0x23, 0x53, 0xaf, 0x3e, 0x9d, 0x60, 0x72, 0xb5, 0x27, 0x33, 0x80, 0x33, 0xd2,
|
||||
0x11, 0x4b, 0xff, 0xfb, 0x53, 0xab, 0x14, 0x4c, 0xe4, 0xe7, 0xbc, 0x2f, 0x5c, 0xd8, 0xbf, 0x81,
|
||||
0x5c, 0xf7, 0x4d, 0x5d, 0xb8, 0x84, 0x62, 0xf3, 0xd2, 0x0a, 0x53, 0x66, 0xd3, 0x13, 0xff, 0xb0,
|
||||
0xeb, 0x4b, 0x1f, 0x10, 0x1d, 0xa9, 0xba, 0x5c, 0xad, 0xe2, 0x52, 0x91, 0xae, 0xbe, 0x5d, 0x05,
|
||||
0x54, 0x6d, 0x72, 0x1e, 0xc1, 0x14, 0xb5, 0x9b, 0x22, 0x3f, 0x78, 0x73, 0x5e, 0x99, 0x50, 0xde,
|
||||
0xa8, 0x41, 0x31, 0xd0, 0x44, 0xf3, 0x2f, 0x31, 0xd9, 0x0b, 0x72, 0x1a, 0xd3, 0x70, 0xbe, 0x84,
|
||||
0xfc, 0xe1, 0xed, 0x15, 0xb9, 0xe9, 0x69, 0xe2, 0xbe, 0x50, 0xa2, 0xda, 0x4e, 0x7a, 0x83, 0xc5,
|
||||
0x56, 0xea, 0xaf, 0x2c, 0xc9, 0x8f, 0xcc, 0x83, 0x1a, 0xa5, 0x0e, 0x74, 0xaa, 0x64, 0x96, 0xb5,
|
||||
0x5a, 0x4a, 0x72, 0xad, 0x86, 0x5a, 0xb8, 0x5a, 0x04, 0x0d, 0x68, 0x21, 0x63, 0x23, 0x7b, 0x17,
|
||||
0x9d, 0xfd, 0x1b, 0x3f, 0xac, 0x80, 0x98, 0x97, 0xb5, 0xd4, 0xb7, 0x08, 0x50, 0xf4, 0x18, 0xf9,
|
||||
0x16, 0xb1, 0x57, 0xfa, 0xff, 0xa8, 0x02, 0x6e, 0x62, 0x7b, 0x15, 0x8d, 0xc0, 0x17, 0xdd, 0xa3,
|
||||
0x45, 0x98, 0x5a, 0xa0, 0xda, 0xe2, 0xd1, 0x17, 0x91, 0x3d, 0xda, 0x18, 0x16, 0x19, 0x3a, 0xfb,
|
||||
0xfd, 0x44, 0x72, 0x03, 0x97, 0x72, 0x1d, 0xbf, 0x11, 0xca, 0x95, 0x05, 0x6a, 0x9e, 0x41, 0x3d,
|
||||
0x85, 0xb4, 0xd9, 0xb3, 0x88, 0xd4, 0xd9, 0xfb, 0x1c, 0xd2, 0x35, 0x31, 0x12, 0xcc, 0xf3, 0x03,
|
||||
0x50, 0x8a, 0xfb, 0x0e, 0x72, 0xeb, 0x86, 0x65, 0xd5, 0x96, 0x0f, 0x53, 0x1e, 0x13, 0x99, 0x91,
|
||||
0xa7, 0x70, 0xab, 0x4c, 0xa6, 0x1a, 0xb7, 0x0d, 0x71, 0x0e, 0xb6, 0x17, 0x85, 0xdf, 0x9b, 0x74,
|
||||
0x19, 0x4a, 0xc7, 0x55, 0x0e, 0xe9, 0x22, 0x6b, 0x8e, 0xa8, 0x5e, 0x45, 0xc4, 0x0f, 0x36, 0xbb,
|
||||
0x21, 0xda, 0x97, 0xcf, 0xed, 0x41, 0xb5, 0x00, 0x26, 0xb1, 0x70, 0x43, 0x5c, 0x60, 0x59, 0x23,
|
||||
0x19, 0xc5, 0xdb, 0x49, 0xef, 0xdd, 0x5d, 0x19, 0x5f, 0x58, 0xaa, 0x20, 0xd9, 0x09, 0x17, 0x09,
|
||||
0xc7, 0x5f, 0xb9, 0x65, 0x8f, 0x0a, 0xe8, 0x4d, 0x7d, 0x60, 0x88, 0x7a, 0x53, 0x9e, 0xf1, 0x25,
|
||||
0xcd, 0xa1, 0x3e, 0xc6, 0xc5, 0x86, 0xf2, 0xee, 0x60, 0x0f, 0x11, 0x3e, 0xe3, 0x90, 0x4d, 0xff,
|
||||
0x49, 0x0b, 0x2f, 0x85, 0x7f, 0x18, 0x53, 0x4e, 0xe2, 0x5c, 0x06, 0x61, 0x51, 0x08, 0xca, 0x55,
|
||||
0x80, 0x83, 0xa4, 0x80, 0x05, 0x26, 0xe7, 0x29, 0xdb, 0xab, 0x94, 0x66, 0xe9, 0xbf, 0xf8, 0xd2,
|
||||
0x79, 0x71, 0x61, 0x05, 0x33, 0xc8, 0x6b, 0x5c, 0x62, 0x01, 0x7f, 0x82, 0xef, 0x5f, 0xa3, 0xf6,
|
||||
0x29, 0x86, 0xb6, 0x0a, 0xa5, 0xed, 0x3a, 0xae, 0x34, 0x12, 0xba, 0xb0, 0x80, 0xd4, 0x53, 0x79,
|
||||
0x57, 0x7d, 0xa2, 0x38, 0xfd, 0x39, 0xc1, 0xaf, 0x07, 0x8d, 0x23, 0x6b, 0xcd, 0x97, 0xe0, 0xf6,
|
||||
0x83, 0x74, 0x7c, 0x3c, 0x95, 0xdb, 0xb1, 0xf0, 0xf7, 0x9e, 0xe9, 0xe4, 0x68, 0x67, 0x18, 0x0e,
|
||||
0x00, 0x12, 0x70, 0x79, 0xc2, 0xfe, 0xde, 0x00, 0x12, 0x87, 0x00, 0xd3, 0x8a, 0xc5, 0x1b, 0xb4,
|
||||
0xd7, 0x46, 0x1d, 0x73, 0x5c, 0x51, 0x93, 0x19, 0x83, 0x1b, 0x28, 0xb9, 0x70, 0x87, 0x20, 0x34,
|
||||
0xb6, 0x7e, 0xb9, 0x1f, 0x9d, 0x15, 0xdb, 0xd7, 0xfb, 0x30, 0x92, 0xe8, 0x21, 0x6c, 0x5c, 0xdb,
|
||||
0xaf, 0x5c, 0xd5, 0xa5, 0x76, 0x4b, 0x5f, 0xc3, 0xa8, 0x73, 0x9a, 0x42, 0x04, 0x21, 0xf1, 0x49,
|
||||
0xbc, 0x47, 0xa0, 0xa7, 0x4a, 0xda, 0x16, 0x34, 0xcd, 0x62, 0xe1, 0xe0, 0x9a, 0x35, 0xf2, 0xf9,
|
||||
0xb2, 0x3c, 0xcf, 0xa6, 0x4f, 0xd7, 0x23, 0xc2, 0xd2, 0xa5, 0x5a, 0xf9, 0xfd, 0x7d, 0x25, 0x84,
|
||||
0xda, 0xda, 0x66, 0xb9, 0x99, 0x7f, 0xec, 0xfc, 0x82, 0x7c, 0xea, 0x6b, 0x23, 0x89, 0x6e, 0xab,
|
||||
0xe9, 0x43, 0xcb, 0x88, 0xcd, 0x18, 0x6e, 0xae, 0x2d, 0xf5, 0xc7, 0xe3, 0x92, 0x55, 0x0b, 0xc0,
|
||||
0x4d, 0xc8, 0xee, 0x4b, 0x7e, 0xfe, 0x84, 0x8c, 0x32, 0x33, 0xc8, 0xf1, 0xfb, 0xd8, 0x11, 0x22,
|
||||
0xd9, 0x0d, 0x2b, 0x16, 0x19, 0xba, 0x65, 0xe4, 0x99, 0x26, 0x7b, 0xa7, 0x04, 0x11, 0xfc, 0xb8,
|
||||
0x05, 0x48, 0x36, 0x43, 0x82, 0x14, 0xb7, 0x31, 0x50, 0xfd, 0x38, 0x89, 0xc1, 0x36, 0xa1, 0xd5,
|
||||
0x8e, 0x52, 0x76, 0x99, 0xc8, 0x38, 0x49, 0xb4, 0x94, 0x02, 0x96, 0x35, 0x8c, 0xc1, 0x9c, 0x7c,
|
||||
0x2b, 0xbe, 0x73, 0x62, 0x0a, 0xd3, 0x57, 0x3d, 0xdb, 0x81, 0x14, 0x7c, 0xd0, 0x4a, 0xe5, 0x2f,
|
||||
0x63, 0xbd, 0xac, 0xcf, 0x83, 0x10, 0xfd, 0x06, 0x54, 0xc0, 0x5c, 0xba, 0x96, 0x72, 0x0b, 0xcf,
|
||||
0x0a, 0x74, 0xe2, 0xbf, 0xbc, 0x1c, 0xc6, 0xd8, 0x9e, 0x7f, 0x5f, 0xbb, 0x00, 0xfe, 0x2a, 0xbd,
|
||||
0x36, 0x02, 0x56, 0x5b, 0xa2, 0x30, 0x75, 0x44, 0x62, 0xf8, 0x22, 0x24, 0x14, 0x04, 0x30, 0x26,
|
||||
0xe5, 0xb4, 0x06, 0x3d, 0xfe, 0x5c, 0x3a, 0xc7, 0xd8, 0x1d, 0x1b, 0xc9, 0x99, 0xbb, 0xa5, 0x2c,
|
||||
0x92, 0x3b, 0xaa, 0x92, 0xf2, 0x12, 0x59, 0xc1, 0xd7, 0xec, 0xae, 0x89, 0x45, 0xfb, 0xe6, 0x15,
|
||||
0xa7, 0xe8, 0xad, 0x26, 0xf9, 0xb3, 0xe0, 0xd5, 0x57, 0xab, 0x4c, 0xab, 0xda, 0xe0, 0xc2, 0x9d,
|
||||
0xb1, 0x12, 0x6f, 0xc9, 0x84, 0x2b, 0x66, 0x89, 0x05, 0x37, 0x2a, 0x6b, 0x8d, 0xe8, 0x21, 0xa4,
|
||||
0xbb, 0x28, 0xc4, 0xb4, 0xa6, 0x93, 0xc2, 0xc9, 0x54, 0x39, 0x38, 0x84, 0xae, 0x70, 0x9b, 0xcf,
|
||||
0xc5, 0xc5, 0x3c, 0x56, 0x21, 0xb4, 0x95, 0xb0, 0xa7, 0x2a, 0x30, 0xd8, 0xcb, 0x18, 0x22, 0x31,
|
||||
0x59, 0x01, 0x62, 0x43, 0xe2, 0x65, 0xb9, 0xf3, 0xc6, 0x5c, 0x9c, 0xe1, 0xea, 0x48, 0x6f, 0x10,
|
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0xc2, 0x27, 0x3a, 0xd6, 0xd1, 0x15, 0xeb, 0x7f, 0xc9, 0x2b, 0x21, 0x25, 0xae, 0x91, 0x34, 0xd0,
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0x39, 0xcc, 0x2a, 0x0b, 0xdb, 0x78, 0xb7, 0x5d, 0x22, 0x36, 0xb1, 0x36, 0x72, 0x56, 0x62, 0x19,
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0xf1, 0x5c, 0x0a, 0x63, 0x02, 0x6a, 0x59, 0x8e, 0x24, 0xb6, 0x32, 0x21, 0x11, 0x96, 0xd2, 0x8c,
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0xf1, 0xaf, 0x84, 0x3f, 0xf5, 0x98, 0x0d, 0x22, 0x14, 0x15, 0xda, 0x9f, 0x44, 0x0b, 0x08, 0x33,
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0x13, 0x11, 0x53, 0x78, 0xe1, 0xf1, 0x4b, 0x40, 0x1c, 0x43, 0x73, 0x5d, 0x86, 0x06, 0xe1, 0x02,
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0x79, 0x3f, 0x68, 0x00, 0xb7, 0xb0, 0xcb, 0x3b, 0x2e, 0x12, 0x4e, 0x81, 0x77, 0x2a, 0xc5, 0x74,
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0xc4, 0xd9, 0xa0, 0x1e, 0xa3, 0x74, 0x17, 0x61, 0x15, 0xaf, 0xa7, 0xb4, 0x25, 0x61, 0x85, 0x60,
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0x70, 0x85, 0xfb, 0x43, 0xb9, 0x43, 0x4f, 0x87, 0x44, 0x1a, 0x7b, 0xee, 0x68, 0xbb, 0x74, 0x99,
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0xff, 0x81, 0x22, 0xb4, 0x8d, 0x94, 0xf0, 0x4a, 0x3e, 0x28, 0xf5, 0xbd, 0x5c, 0xa1, 0x7f, 0x5c,
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0xea, 0xe6, 0xba, 0xf2, 0x5d, 0x85, 0xf2, 0xed, 0xd7, 0xfd, 0x93, 0xf0, 0xbb, 0xba, 0x86, 0x23,
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0xb5, 0xee, 0xb5, 0x5b, 0xd9, 0x91, 0xbf, 0xdc, 0xe3, 0xdc, 0xbe, 0x82, 0x92, 0xce, 0xb4, 0x0f,
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0xbf, 0xf1, 0x80, 0x0f, 0xe8, 0xc3, 0x04, 0x49, 0x3e, 0x95, 0x72, 0xf8, 0x36, 0x44, 0xce, 0xf4,
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0x3a, 0x6a, 0xeb, 0xdd, 0x88, 0x28, 0x8d, 0xf3, 0x04, 0x65, 0xd8, 0xfd, 0x9d, 0xb1, 0x22, 0xbd,
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0x44, 0xe7, 0xcf, 0x0f, 0x2f, 0xfc, 0xb6, 0xd6, 0x60, 0x7a, 0x6e, 0x6a, 0x93, 0x83, 0xf1, 0x86,
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||||
0xf4, 0xf1, 0x23, 0xb2, 0xfd, 0x4a, 0xb6, 0xcf, 0x97, 0x70, 0xae, 0xa9, 0x44, 0x94, 0x7a, 0x4e,
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||||
0xf9, 0x1e, 0xf8, 0xdc, 0x1f, 0xf0, 0x06, 0x16, 0xdf, 0x69, 0xde, 0x70, 0xea, 0x64, 0x98, 0xe6,
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||||
0x1f, 0x9f, 0x3a, 0xcf, 0xf6, 0xb6, 0x10, 0xb1, 0x3c, 0xd1, 0x76, 0x67, 0x6c, 0xaf, 0x3c, 0x0a,
|
||||
0xc3, 0x46, 0x31, 0x89, 0xf7, 0x7a, 0x0f, 0x9b, 0x7d, 0xd8, 0x9a, 0x81, 0x57, 0x0c, 0x37, 0xda,
|
||||
0xf7, 0xc3, 0xe5, 0x4b, 0x14, 0xe9, 0x0e, 0x8c, 0x27, 0xdc, 0x68, 0xdb, 0xd8, 0xdb, 0x8b, 0xee,
|
||||
0x4e, 0x9f, 0x93, 0x18, 0x4c, 0x75, 0xec, 0x41, 0x6f, 0xbe, 0x89, 0xe3, 0x77, 0x64, 0xbd, 0x22,
|
||||
0xa1, 0x0a, 0x16, 0x93, 0xbc, 0x7a, 0xec, 0x6e, 0x3c, 0x2d, 0x97, 0x4a, 0xb1, 0x7d, 0xb6, 0xfc,
|
||||
0x01, 0x8b, 0x87, 0x2b, 0x60, 0xe4, 0x53, 0xde, 0x72, 0xef, 0xa5, 0xdf, 0xeb, 0x2d, 0x3c, 0x01,
|
||||
0xdc, 0xfd, 0xd8, 0x3b, 0x2a, 0x16, 0x74, 0x1b, 0x26, 0x40, 0x5c, 0x4d, 0x11, 0x7f, 0xa8, 0x3f,
|
||||
0xc9, 0xe8, 0x8f, 0x6b, 0xe4, 0x96, 0x3f, 0x2b, 0x4e, 0xfa, 0x1f, 0xa5, 0x73, 0x85, 0xbb, 0xe5,
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||||
0x6f, 0xd7, 0x0c, 0xf4, 0x46, 0x81, 0xfd, 0x0d, 0x0f, 0x70, 0x3c, 0x51, 0x46, 0x47, 0x5d, 0x37,
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0x02, 0x94, 0x52, 0x44, 0x4b, 0xac, 0x30, 0xc3, 0x72, 0xd1, 0x50, 0x5e, 0x29, 0xa2, 0x4a, 0xfb,
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||||
0xbe, 0x8e, 0x60, 0x16, 0xb0, 0xb1, 0x82, 0xd8, 0x29, 0xf5, 0x3c, 0x72, 0x3c, 0x79, 0x9d, 0xa8,
|
||||
0x64, 0x15, 0x57, 0x7a, 0x10, 0x0f, 0xb4, 0xc0, 0x02, 0xdb, 0xc6, 0x6c, 0x37, 0xa1, 0xf3, 0x52,
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||||
0x5c, 0xb5, 0xcd, 0x42, 0xf1, 0x43, 0x31, 0xfe, 0x0b, 0xaa, 0xcb, 0xd5, 0x0a, 0xf4, 0x69, 0x64,
|
||||
0xf5, 0x98, 0x41, 0x53, 0xed, 0x04, 0x27, 0x56, 0x4a, 0xe9, 0x4c, 0x96, 0x64, 0x29, 0xff, 0xe2,
|
||||
0xe1, 0x79, 0xf5, 0x78, 0x69, 0x43, 0xe6, 0x4e, 0x4e, 0xa8, 0x8a, 0x50, 0x15, 0x37, 0x44, 0x73,
|
||||
0x41, 0xe8, 0x21, 0xe4, 0x0a, 0x2e, 0x43, 0x2d, 0x4b, 0xd1, 0xfe, 0xf5, 0xc5, 0x30, 0x31, 0x39,
|
||||
0xfa, 0x53, 0x7a, 0x3c, 0xd5, 0x63, 0x7a, 0x5c, 0xff, 0x18, 0xf8, 0x79, 0x84, 0x73, 0x84, 0x55,
|
||||
0x61, 0x17, 0x2f, 0xad, 0x34, 0xd3, 0xf2, 0xf3, 0x2b, 0xe6, 0xe3, 0xc2, 0x0e, 0x2b, 0x28, 0xc4,
|
||||
0x92, 0xd0, 0xd3, 0x14, 0x06, 0x58, 0xbb, 0x2f, 0xdf, 0xe6, 0x3d, 0x0d, 0x6b, 0x71, 0x40, 0xc2,
|
||||
0xbf, 0x6b, 0x41, 0xae, 0x85, 0x39, 0x1c, 0xdf, 0x02, 0xf3, 0x6e, 0x85, 0x15, 0x1d, 0xb8, 0xe4,
|
||||
0xbe, 0x32, 0x77, 0x70, 0x22, 0x5b, 0xe7, 0x03, 0xd6, 0x1c, 0xab, 0x90, 0x9b, 0x0d, 0x03, 0x40,
|
||||
0x0f, 0x3d, 0x82, 0x9b, 0xb8, 0x32, 0x03, 0x99, 0xee, 0xe4, 0xa9, 0x63, 0x35, 0xec, 0xe2, 0x29,
|
||||
0xb3, 0xda, 0x4c, 0x3c, 0x4c, 0x6b, 0x4f, 0x67, 0x0a, 0x8e, 0x35, 0xe2, 0xe5, 0x3d, 0x97, 0xe6,
|
||||
0xec, 0xb2, 0x99, 0xa2, 0x7d, 0x1c, 0xf0, 0xb0, 0x6d, 0xc7, 0x14, 0xe6, 0xb1, 0x77, 0x75, 0x2d,
|
||||
0x73, 0x0e, 0xa6, 0x3b, 0x4b, 0x90, 0xac, 0xe4, 0x34, 0x60, 0x6d, 0x03, 0xba, 0xb2, 0xb4, 0xb8,
|
||||
0x11, 0xe1, 0x1c, 0xb2, 0x27, 0xbb, 0x39, 0x61, 0x47, 0x53, 0x3e, 0xb0, 0x5b, 0x0d, 0x5a, 0xc9,
|
||||
0x36, 0xd5, 0xd3, 0x99, 0xa8, 0xdb, 0x74, 0x32, 0x5b, 0x05, 0x95, 0x0d, 0x2f, 0x19, 0xa7, 0x99,
|
||||
0x2e, 0x57, 0x19, 0xde, 0x4b, 0xb9, 0x08, 0x57, 0xdc, 0x37, 0x15, 0x7d, 0x1f, 0xe5, 0x12, 0x33,
|
||||
0x91, 0xa1, 0xdd, 0xe3, 0x30, 0x2b, 0x84, 0x4c, 0xe9, 0xbd, 0x0c, 0x8b, 0x6d, 0xe4, 0x75, 0x12,
|
||||
0x41, 0x98, 0x4b, 0xab, 0x25, 0xda, 0x4b, 0xc0, 0x92, 0xb1, 0x4a, 0x32, 0x06, 0x5a, 0xac, 0x93,
|
||||
0xf2, 0x6f, 0x01, 0x4d, 0xc1, 0xac, 0xf2, 0x37, 0x8b, 0x4e, 0x03, 0xbb, 0xd0, 0x06, 0x4f, 0xfa,
|
||||
0x7d, 0xb5, 0xdc, 0x1e, 0xf3, 0x2d, 0x05, 0x29, 0x1b, 0x7e, 0x6e, 0x0e, 0x26, 0x3c, 0x11, 0x5c,
|
||||
0xaf, 0x97, 0x55, 0x5a, 0xc9, 0x4f, 0x75, 0xb5, 0x24, 0x72, 0xa7, 0x07, 0x0b, 0x02, 0xd9, 0xa2,
|
||||
0xa3, 0xb0, 0xde, 0x30, 0x22, 0xfc, 0x54, 0x14, 0xfa, 0x7b, 0x19, 0x58, 0x19, 0x59, 0x9f, 0x7d,
|
||||
0x8a, 0x63, 0xd7, 0x27, 0x66, 0xe0, 0x52, 0x05, 0x3d, 0x4e, 0x14, 0xad, 0xf5, 0xaa, 0xc5, 0x79,
|
||||
0x1a, 0x02, 0x78, 0x03, 0x2c, 0xe4, 0x86, 0x14, 0x51, 0xbc, 0xc7, 0x31, 0x58, 0x04, 0x39, 0xe9,
|
||||
0xac, 0xae, 0xaf, 0x74, 0x97, 0xef, 0x9a, 0x5a, 0x97, 0x7c, 0xf5, 0xcd, 0xa1, 0x19, 0xd6, 0x31,
|
||||
0xc2, 0x0b, 0x5e, 0x66, 0x9a, 0x7f, 0x96, 0x09, 0x59, 0xc5, 0x17, 0x5c, 0x39, 0x66, 0xa7, 0x29,
|
||||
0x31, 0xb9, 0x6d, 0xad, 0x4e, 0xc1, 0x90, 0xb9, 0x94, 0x02, 0xc3, 0xe0, 0x69, 0xb8, 0x44, 0x6b,
|
||||
0xa3, 0xa6, 0xab, 0x7e, 0xfe, 0xfa, 0x8f, 0x89, 0x60, 0xf5, 0x7e, 0x68, 0x62, 0xcf, 0x58, 0xa2,
|
||||
0x96, 0xca, 0xe5, 0x36, 0x23, 0xd9, 0x88, 0x6e, 0x8b, 0x17, 0x7e, 0xf3, 0xe5, 0xd7, 0x63, 0xb0,
|
||||
0x96, 0x82, 0x18, 0xf3, 0x10, 0x13, 0x09, 0xce, 0x7b, 0xe3, 0xd8, 0xb6, 0x5b, 0x6f, 0x0e, 0x13,
|
||||
0x1b, 0xd3, 0x49, 0x57, 0x8b, 0xa1, 0xf8, 0xbd, 0xda, 0xed, 0x0d, 0x9c, 0x6c, 0x32, 0x61, 0x03,
|
||||
0xdd, 0x39, 0x63, 0x9c, 0x6f, 0xe3, 0xe5, 0xc1, 0xd6, 0xdb, 0x26, 0x1d, 0xa2, 0x60, 0x7e, 0x7b,
|
||||
0xb2, 0x51, 0x80, 0x8f, 0x78, 0x89, 0x43, 0xaa, 0x9d, 0x76, 0xef, 0x1e, 0xdb, 0xd0, 0x51, 0xb4,
|
||||
0x8e, 0xed, 0x14, 0x42, 0xfb, 0x63, 0x5d, 0x21, 0x99, 0x30, 0x99, 0x05, 0x53, 0x25, 0xe8, 0xec,
|
||||
0xe7, 0xf1, 0x40, 0x8c, 0xba, 0xb6, 0x6a, 0xe0, 0xc7, 0x73, 0x68, 0x6c, 0x15, 0x4b, 0x42, 0xe3,
|
||||
0xda, 0x97, 0x0e, 0x40, 0xc5, 0xff, 0x98, 0x2b, 0xf2, 0x19, 0xca, 0x3d, 0x49, 0x72, 0x7a, 0x96,
|
||||
0xd5, 0x16, 0xd4, 0x2a, 0xf4, 0x5d, 0x1d, 0xd2, 0x1d, 0x22, 0x60, 0xe0, 0x18, 0xf7, 0x38, 0x04,
|
||||
0x01, 0x94, 0x45, 0xb2, 0x5f, 0xc0, 0x10, 0xce, 0x65, 0x62, 0x33, 0x61, 0x6d, 0x65, 0x15, 0x7d,
|
||||
0x39, 0xc0, 0xcf, 0xcb, 0x4c, 0xa2, 0x23, 0x1c, 0xa8, 0x42, 0x46, 0x99, 0x81, 0xdc, 0x28, 0xad,
|
||||
0xd6, 0xcc, 0x92, 0xdd, 0x06, 0x58, 0x02, 0x0c, 0xe1, 0x67, 0xf2, 0x4f, 0x7a, 0xe3, 0xde, 0xb9,
|
||||
0x65, 0x81, 0xb4, 0x59, 0x13, 0xfc, 0xa4, 0x12, 0x13, 0x41, 0x9f, 0xd2, 0xe2, 0x9e, 0xea, 0x87,
|
||||
0x6a, 0x95, 0xba, 0xae, 0x27, 0x4d, 0x12, 0xc4, 0x58, 0x2a, 0x4c, 0x18, 0x68, 0x6b, 0x3b, 0xd6,
|
||||
0xfa, 0xc5, 0x47, 0x0c, 0xfe, 0x40, 0x66, 0x5b, 0x0e, 0xe9, 0xe9, 0x01, 0x4f, 0x1c, 0x48, 0x52,
|
||||
0x19, 0xc8, 0x9d, 0xa3, 0xbe, 0x81, 0x04, 0xa1, 0xd8, 0x4e, 0x6f, 0x6e, 0x80, 0xcd, 0xf7, 0x38,
|
||||
0x63, 0x16, 0x1f, 0x27, 0x4e, 0x5e, 0x4a, 0xcb, 0xc8, 0x15, 0x62, 0x15, 0x9e, 0x4e, 0xbc, 0xfc,
|
||||
0xa3, 0x26, 0x85, 0x54, 0xe0, 0x56, 0xb9, 0xef, 0xc0, 0x6c, 0x42, 0x87, 0x35, 0x9a, 0x28, 0xc1,
|
||||
0x90, 0x2c, 0xa2, 0xc6, 0xbe, 0x9e, 0xbb, 0x11, 0x1b, 0x88, 0xa7, 0xea, 0x03, 0x82, 0x8b, 0xf5,
|
||||
0xb5, 0x72, 0x76, 0xb8, 0x30, 0x2d, 0x07, 0xb3, 0x2f, 0x35, 0x48, 0xf5, 0xc5, 0x6c, 0xd3, 0x30,
|
||||
0x98, 0x55, 0xe1, 0x68, 0x0d, 0x47, 0xcf, 0xbe, 0x29, 0x8f, 0xcf, 0x48, 0x7b, 0x79, 0x2d, 0xd8,
|
||||
0xbf, 0x52, 0xce, 0x1d, 0xdc, 0xb2, 0x22, 0xe6, 0x86, 0x30, 0x98, 0x50, 0xf4, 0x56, 0x53, 0x49,
|
||||
0x38, 0x5f, 0x6d, 0xce, 0xe9, 0x35, 0x2f, 0xcf, 0x44, 0x8a, 0x96, 0xe5, 0x0a, 0xd8, 0x62, 0x64,
|
||||
0x1b, 0xfe, 0x38, 0x83, 0x36, 0x60, 0xd4, 0x31, 0xa4, 0x63, 0x4a, 0xd7, 0xa0, 0x9b, 0x1a, 0xca,
|
||||
0x84, 0xaa, 0x30, 0xba, 0xea, 0xcc, 0x48, 0xb2, 0xb0, 0x51, 0xc5, 0x0e, 0xd6, 0x3b, 0x1b, 0xab,
|
||||
0x20, 0x4a, 0xd0, 0xd9, 0xc8, 0xf3, 0x19, 0x63, 0x07, 0x10, 0x7c, 0xcd, 0xa6, 0x5a, 0xa5, 0xcd,
|
||||
0x3b, 0x8e, 0x09, 0x7f, 0xf0, 0x54, 0xba, 0xc8, 0x2a, 0xbb, 0x1d, 0x0d, 0x76, 0xdd, 0xb1, 0x47,
|
||||
0xed, 0xb9, 0x41, 0x25, 0x43, 0x97, 0x2d, 0x27, 0xc0, 0x89, 0x81, 0x69, 0xfb, 0x02, 0x21, 0xd3,
|
||||
0xc6, 0x59, 0x65, 0x11, 0x42, 0xbc, 0x88, 0x98, 0xa0, 0x0a, 0xa1, 0xdc, 0xb1, 0xb7, 0x03, 0xc1,
|
||||
0x64, 0x8f, 0x95, 0xb3, 0x37, 0x67, 0x87, 0x5f, 0xe5, 0xf1, 0x93, 0x27, 0xe7, 0x12, 0x62, 0x5e,
|
||||
0x87, 0x52, 0x4b, 0x44, 0x5f, 0xe5, 0x45, 0x58, 0xc0, 0xfb, 0x06, 0xbc, 0x8a, 0xe0, 0xd4, 0xe5,
|
||||
0x9f, 0xf3, 0x2c, 0x20, 0x30, 0x64, 0xfe, 0x46, 0xf5, 0xf3, 0xda, 0x53, 0x42, 0x8f, 0x99, 0x7d,
|
||||
0xfb, 0x47, 0xb7, 0x4a, 0xbe, 0x66, 0xf6, 0xe1, 0x2e, 0x62, 0x87, 0x26, 0xce, 0x02, 0x9a, 0xe2,
|
||||
0xeb, 0xca, 0x64, 0xc4, 0xaa, 0x0d, 0xbc, 0x9b, 0x1e, 0x32, 0xc3, 0xf8, 0xec, 0xaf, 0x1b, 0xdb,
|
||||
0xff, 0x0c, 0x71, 0x69, 0xc6, 0xb2, 0xc0, 0x3a, 0x66, 0xee, 0xd2, 0xc9, 0x16, 0x4d, 0xaf, 0x24,
|
||||
0xfa, 0x65, 0x18, 0x75, 0xfb, 0x45, 0x25, 0xa6, 0x26, 0xfb, 0x66, 0x2a, 0x15, 0x9c, 0x85, 0xf4,
|
||||
0xda, 0x1d, 0x4f, 0x3b, 0xe2, 0x4d, 0x23, 0xeb, 0x8c, 0x57, 0xb1, 0xb5, 0x4c, 0x90, 0x23, 0x7f,
|
||||
0x01, 0xfa, 0x06, 0x9d, 0x35, 0x4c, 0x6a, 0xb5, 0x79, 0xb9, 0x00, 0x17, 0x46, 0x46, 0x54, 0x45,
|
||||
0x60, 0xed, 0xe8, 0x86, 0xc3, 0xde, 0x65, 0xdf, 0x5b, 0x40, 0x97, 0xcd, 0x77, 0x25, 0x41, 0xcd,
|
||||
0xf2, 0x89, 0xbf, 0xfe, 0x55, 0xa1, 0xf9, 0xf5, 0x7a, 0x18, 0x2d, 0x6c, 0xec, 0x28, 0xed, 0xd1,
|
||||
0x44, 0xa1, 0x98, 0x77, 0x73, 0x6f, 0xc0, 0x4c, 0x7f, 0x05, 0xc0, 0x9c, 0x19, 0xed, 0x90, 0x3c,
|
||||
0x56, 0xb6, 0xf4, 0x86, 0x2f, 0x60, 0xb3, 0x1b, 0x95, 0x58, 0x26, 0x40, 0xc2, 0xc0, 0xda, 0x24,
|
||||
0x26, 0xcb, 0x06, 0x26, 0x53, 0x30, 0x12, 0x35, 0x0b, 0xe5, 0x39, 0x80, 0x3a, 0xf7, 0xd5, 0xae,
|
||||
0xb8, 0xcb, 0xea, 0xf6, 0x4c, 0x3d, 0x81, 0xb4, 0x1f, 0x97, 0x88, 0x2c, 0x9f, 0x9c, 0x70, 0x70,
|
||||
0xd5, 0x34, 0xe8, 0x65, 0xb7, 0xdb, 0xb3, 0x33, 0x26, 0xcf, 0x95, 0xa3, 0x31, 0x6a, 0x90, 0x9f,
|
||||
0xde, 0xd3, 0x17, 0x8a, 0x24, 0xdc, 0xe1, 0x57, 0xb8, 0x28, 0x70, 0x79, 0x52, 0xd7, 0x9d, 0x6b,
|
||||
0x99, 0xbb, 0xf7, 0x14, 0x5e, 0xc0, 0x05, 0xff, 0xbc, 0x82, 0xc2, 0x20, 0x57, 0x6c, 0xbe, 0xbe,
|
||||
0x71, 0xf7, 0xdb, 0x24, 0xc3, 0x33, 0xe6, 0x26, 0x50, 0x9a, 0xfc, 0xd6, 0x35, 0xb7, 0x42, 0xc4,
|
||||
0x63, 0x22, 0x3d, 0x4c, 0x52, 0x1b, 0xf3, 0x6a, 0x38, 0x5c, 0x9b, 0xf5, 0x9b, 0xfb, 0x5f, 0x0b,
|
||||
0x37, 0x9a, 0xf2, 0x25, 0xd3, 0xd9, 0xa7, 0xc5, 0x02, 0x0f, 0x86, 0xaa, 0xee, 0x71, 0x49, 0xa2,
|
||||
0x22, 0xc2, 0x9d, 0x92, 0xc2, 0x3e, 0x8f, 0x26, 0x7f, 0x5c, 0x23, 0x62, 0xe4, 0xb5, 0xf5, 0x9e,
|
||||
0xea, 0x2f, 0xbc, 0xe8, 0x4b, 0x4d, 0xd1, 0xbd, 0x2e, 0x39, 0x04, 0x56, 0xfc, 0x0f, 0xd3, 0xd6,
|
||||
0x10, 0x16, 0xe5, 0x02, 0x11, 0x5c, 0xbc, 0x66, 0x90, 0xf1, 0xb7, 0xf6, 0x4f, 0x56, 0x0f, 0x87,
|
||||
0x2c, 0xa8, 0xb6, 0xa9, 0x30, 0xf6, 0x17, 0x1b, 0xda, 0x2c, 0x2a, 0x75, 0x09, 0xcc, 0x32, 0xe2,
|
||||
0x77, 0xc8, 0xd8, 0x98, 0x7b, 0xd4, 0x8a, 0x73, 0xda, 0xe2, 0x76, 0x78, 0x04, 0x82, 0xab, 0x11,
|
||||
0x71, 0xe3, 0x73, 0x79, 0x5e, 0xdb, 0x86, 0x79, 0x52, 0x1d, 0x28, 0xc1, 0x87, 0xa8, 0x2f, 0xca,
|
||||
0xbc, 0xb9, 0xba, 0x58, 0x4e, 0xb3, 0x89, 0x4d, 0x74, 0x88, 0x37, 0x36, 0xbb, 0x1d, 0x1d, 0xe8,
|
||||
0xc9, 0xd4, 0xe8, 0xa4, 0x31, 0x17, 0x56, 0xf4, 0x72, 0xc0, 0x00, 0x58, 0x1c, 0x76, 0xab, 0x2d,
|
||||
0x75, 0xe6, 0x90, 0x85, 0xbf, 0xdc, 0x57, 0x2f, 0xbe, 0xb1, 0xa9, 0x3c, 0xd1, 0xf6, 0x58, 0x80,
|
||||
0xcf, 0x43, 0x60, 0xb4, 0x1b, 0x82, 0x02, 0x90, 0x3c, 0xad, 0xfc, 0xef, 0xc4, 0xce, 0x9a, 0xec,
|
||||
0xea, 0x26, 0x57, 0xb9, 0x7e, 0xf7, 0x69, 0xa3, 0x06, 0x52, 0xc2, 0x51, 0x83, 0x8f, 0xf4, 0x0d,
|
||||
0xb7, 0xa3, 0xfc, 0xae, 0x29, 0x81, 0xcc, 0xdc, 0xbb, 0x2d, 0xed, 0x38, 0xf4, 0x40, 0x7a, 0x16,
|
||||
0x56, 0x11, 0x7f, 0x33, 0x50, 0x44, 0xc0, 0xb9, 0x77, 0x66, 0x6b, 0xce, 0x18, 0xd6, 0xdf, 0x39,
|
||||
0x9e, 0xa6, 0xa1, 0xbd, 0xed, 0x0e, 0xd7, 0x14, 0xe1, 0xb9, 0x6a, 0x51, 0x4b, 0x5c, 0x00, 0xdc,
|
||||
0xd7, 0xdb, 0x76, 0x69, 0xef, 0xfa, 0x2e, 0xcf, 0x4f, 0xa8, 0x2e, 0x59, 0x26, 0xa0, 0x55, 0x7e,
|
||||
0x9b, 0x55, 0xfc, 0x7c, 0x32, 0xff, 0xbf, 0x08, 0x90, 0xb5, 0x7a, 0x4f, 0xf2, 0x26, 0x05, 0x85,
|
||||
0xf6, 0x56, 0x7b, 0x56, 0x41, 0xdc, 0x95, 0xcf, 0x03, 0x45, 0xef, 0x78, 0x34, 0x30, 0x61, 0x9a,
|
||||
0x44, 0x8f, 0xbc, 0xb5, 0x5c, 0xf4, 0x64, 0x2c, 0x13, 0x21, 0x3c, 0xa5, 0x1b, 0xe7, 0x9c, 0x60,
|
||||
0x9b, 0x49, 0xe1, 0x34, 0x8a, 0xef, 0x72, 0xa7, 0xa9, 0x71, 0x6f, 0x32, 0x52, 0x64, 0x0a, 0xa0,
|
||||
0x4a, 0xf3, 0xa2, 0xee, 0x16, 0x1a, 0xbe, 0x93, 0x0a, 0xa2, 0xd8, 0xb0, 0x82, 0x3b, 0x4d, 0x7d,
|
||||
0x24, 0xe2, 0x09, 0xef, 0x6b, 0xdd, 0x92, 0x00, 0x6f, 0x76, 0xd1, 0x41, 0xde, 0xdb, 0xab, 0x6c,
|
||||
0x39, 0x4d, 0x26, 0x54, 0xb4, 0x56, 0xce, 0x4c, 0x19, 0x95, 0x2a, 0x51, 0xa9, 0xf1, 0xad, 0x58,
|
||||
0xf8, 0x6d, 0xeb, 0x32, 0xc2, 0x30, 0x03, 0x15, 0x0e, 0x9d, 0x76, 0x74, 0x5d, 0xe0, 0x62, 0xd9,
|
||||
0xc3, 0x83, 0xe4, 0xd5, 0x33, 0x1d, 0x7b, 0xfe, 0x6f, 0x16, 0x5c, 0xaf, 0x34, 0xe9, 0x2c, 0x20,
|
||||
0xca, 0x99, 0xac, 0x57, 0x47, 0x81, 0x0d, 0x57, 0x65, 0x33, 0x1a, 0x5b, 0x0c, 0xaa, 0x13, 0x00,
|
||||
0xf9, 0x3d, 0x02, 0x2c, 0xc1, 0x23, 0x7d, 0x55, 0x47, 0xdb, 0x8b, 0xcb, 0x50, 0xc1, 0xd2, 0x95,
|
||||
0xff, 0x0b, 0x8a, 0xb3, 0x38, 0x43, 0x51, 0xe1, 0x3b, 0x3b, 0xc3, 0x4b, 0x5e, 0xc9, 0xac, 0x0f,
|
||||
0xb3, 0x81, 0x32, 0xf1, 0x2e, 0xa2, 0x51, 0xea, 0xb2, 0x85, 0x1a, 0x48, 0xee, 0x35, 0xa0, 0x86,
|
||||
0x05, 0x14, 0x05, 0xc3, 0xf5, 0xe2, 0xa1, 0xdf, 0x47, 0xb0, 0xe2, 0x04, 0x21, 0x85, 0xbd, 0x0b,
|
||||
0x00, 0x98, 0xe4, 0xdb, 0xe1, 0x7a, 0xf7, 0xfd, 0x7a, 0x92, 0x45, 0x15, 0x57, 0xd7, 0xcf, 0x18,
|
||||
0xb7, 0xa3, 0xf2, 0xd5, 0xcf, 0x18, 0x7a, 0xe5, 0xa4, 0x4b, 0x0c, 0xe1, 0x66, 0xd9, 0x1b, 0x3f,
|
||||
0x60, 0x47, 0x90, 0xd1, 0xe9, 0xb8, 0xf5, 0xa8, 0x36, 0x1f, 0xab, 0x7d, 0x85, 0x9a, 0x57, 0xc6,
|
||||
0xdb, 0x9c, 0xf8, 0x90, 0xbf, 0xc7, 0xb7, 0xf5, 0xa3, 0x1d, 0x69, 0x6d, 0xe8, 0xda, 0x3d, 0xa6,
|
||||
0xaa, 0x38, 0x55, 0x30, 0x9d, 0x7a, 0xc0, 0x6d, 0x42, 0xeb, 0xc6, 0x97, 0xf3, 0x84, 0xa1, 0x0a,
|
||||
0x4c, 0x78, 0xc3, 0xdb, 0x9f, 0x29, 0x85, 0x08, 0x4d, 0x8f, 0xbe, 0x8e, 0xba, 0x68, 0x1a, 0x97,
|
||||
0x74, 0xa7, 0xd2, 0xec, 0xb9, 0x8b, 0xbf, 0x8c, 0xd7, 0xb6, 0x2e, 0x3d, 0x3b, 0x7d, 0xf8, 0x84,
|
||||
0x2b, 0x30, 0xe6, 0x40, 0x13, 0x53, 0xbe, 0x47, 0xd9, 0x14, 0x16, 0xdf, 0x05, 0xeb, 0xa3, 0x6c,
|
||||
0x74, 0xd4, 0xba, 0x8d, 0xf5, 0x80, 0xab, 0xc8, 0x40, 0x3c, 0xd5, 0x00, 0x47, 0x86, 0x66, 0x73,
|
||||
0x6b, 0x36, 0xc5, 0xa2, 0x81, 0x92, 0xd8, 0xfd, 0xde, 0x61, 0x34, 0xc3, 0x34, 0xaa, 0x1a, 0x40,
|
||||
0x3c, 0x95, 0x8f, 0x75, 0x2f, 0xc6, 0x22, 0xbb, 0x45, 0xfa, 0x68, 0x10, 0xd7, 0x22, 0x09, 0x59,
|
||||
0x36, 0x25, 0x45, 0x06, 0x9b, 0xa2, 0x33, 0xf9, 0x34, 0x63, 0xe2, 0x2b, 0x18, 0xa7, 0xbe, 0x25,
|
||||
0xf2, 0xe6, 0x9d, 0x99, 0x97, 0xb1, 0x0d, 0x64, 0x3a, 0x53, 0xcb, 0xe5, 0x73, 0xc6, 0x47, 0x3c,
|
||||
0x76, 0x87, 0xae, 0x74, 0x1f, 0x4f, 0x84, 0x2e, 0x4f, 0x10, 0xda, 0x4e, 0x32, 0x40, 0x71, 0xc4,
|
||||
0xd9, 0xac, 0x85, 0x4c, 0x6e, 0x10, 0x37, 0x66, 0xcd, 0x49, 0x83, 0x20, 0xa7, 0xe7, 0x47, 0x70,
|
||||
0xaf, 0x38, 0x6c, 0x95, 0x32, 0x6e, 0x7f, 0x21, 0x9e, 0x2b, 0xbd, 0x09, 0x6a, 0xe0, 0xd9, 0xdf,
|
||||
0x27, 0x1e, 0x41, 0x0b, 0x1a, 0xc3, 0x6c, 0x83, 0x9f, 0x1a, 0x57, 0x5e, 0x94, 0x72, 0xc5, 0x8d,
|
||||
0x9f, 0x61, 0xe4, 0x47, 0x56, 0xb1, 0x80, 0x32, 0x3c, 0x23, 0x4c, 0x21, 0x0d, 0xdd, 0x4e, 0x5f,
|
||||
0x61, 0x8a, 0xcf, 0xee, 0x59, 0x87, 0x36, 0xe4, 0x0a, 0x24, 0x7c, 0x03, 0xda, 0x64, 0x76, 0x3c,
|
||||
0x80, 0x04, 0x3c, 0x89, 0x91, 0x9e, 0x56, 0xba, 0x66, 0x98, 0xb2, 0xfc, 0x8d, 0x81, 0xdf, 0xf4,
|
||||
0x3c, 0x0c, 0x0c, 0x03, 0xee, 0xd9, 0xb4, 0xb0, 0x0a, 0xcf, 0x6d, 0x0b, 0xf6, 0xe7, 0xa6, 0x21,
|
||||
0x1c, 0xe7, 0x9f, 0xa5, 0x74, 0xea, 0x18, 0x3f, 0xf7, 0x2c, 0x3c, 0x09, 0x53, 0xd6, 0xcc, 0x71,
|
||||
0xd7, 0x07, 0x9d, 0x3d, 0x59, 0xb4, 0xec, 0x86, 0xe9, 0x8b, 0xa0, 0x14, 0x99, 0xf8, 0xa6, 0x9b,
|
||||
0x59, 0xe2, 0x6e, 0x73, 0x78, 0xe0, 0xf3, 0xcb, 0xce, 0x06, 0xd0, 0x1b, 0x70, 0xd8, 0x15, 0xc2,
|
||||
0xbf, 0x04, 0xe8, 0xcb, 0x31, 0x1d, 0x04, 0x9f, 0x9d, 0xf2, 0xa1, 0x60, 0x1f, 0x63, 0x49, 0x64,
|
||||
0x56, 0x3e, 0xa1, 0x64, 0xf2, 0xb0, 0xaa, 0xdc, 0x5f, 0xa3, 0x3b, 0x8d, 0x16, 0x07, 0xa1, 0xf3,
|
||||
0xec, 0xc5, 0x7f, 0xe2, 0x1c, 0xeb, 0xb7, 0x81, 0xd3, 0xdf, 0x5f, 0xee, 0xa0, 0xe1, 0x82, 0x25,
|
||||
0x7a, 0xe2, 0x3f, 0xce, 0x3b, 0x89, 0x1f, 0xbe, 0x73, 0x9e, 0xe4, 0x46, 0x11, 0x39, 0xfc, 0x6b,
|
||||
0xe6, 0x99, 0xd6, 0x98, 0x9f, 0x8f, 0x19, 0x41, 0x90, 0x5d, 0xf1, 0x85, 0x94, 0xe7, 0x13, 0x91,
|
||||
0xe3, 0x01, 0xfd, 0x41, 0x29, 0x1d, 0xcb, 0x11, 0x13, 0xcd, 0x4c, 0x92, 0x6c, 0x15, 0x7c, 0xd1,
|
||||
0xbc, 0x50, 0x68, 0x4c, 0x46, 0xe3, 0x0f, 0x25, 0xd5, 0x6c, 0x3b, 0x53, 0x0b, 0x2f, 0x1d, 0xd2,
|
||||
0x52, 0xca, 0x97, 0x29, 0x5c, 0xdf, 0x24, 0xa8, 0xc6, 0xbe, 0xd1, 0xc1, 0x14, 0x20, 0x24, 0x4f,
|
||||
0xfa, 0xd4, 0xe5, 0xb0, 0x93, 0x45, 0xe1, 0xc9, 0xf2, 0xbe, 0x0d, 0xc2, 0xd1, 0x4c, 0xab, 0x2f,
|
||||
0x85, 0xc1, 0x0b, 0x51, 0x40, 0x7c, 0xdf, 0x7f, 0x74, 0xa1, 0x3d, 0xb8, 0x4d, 0x4f, 0x26, 0x24,
|
||||
0x11, 0x61, 0x64, 0xd3, 0x0e, 0x5b, 0x29, 0x87, 0x05, 0xfe, 0xb9, 0x78, 0xde, 0xad, 0xf9, 0xe8,
|
||||
0xc4, 0x47, 0x4d, 0xfb, 0xa8, 0x54, 0x99, 0x50, 0x1d, 0xe7, 0xaf, 0x1a, 0x12, 0x20, 0x8d, 0xcd,
|
||||
0xde, 0x8e, 0xf8, 0x26, 0x65, 0x8b,
|
||||
};
|
||||
unsigned char commit_0[] = {
|
||||
0x09, 0x9e, 0x56, 0x8d, 0x5b, 0x9d, 0x2a, 0xd6, 0x1f, 0xe0, 0x81, 0x21, 0xcc, 0x15, 0xb3, 0x66,
|
||||
0x6d, 0xb4, 0xbb, 0xac, 0xdd, 0x28, 0x08, 0xab, 0x21, 0x6e, 0x35, 0xac, 0xa7, 0xe0, 0x0a, 0xa8,
|
||||
0xef,
|
||||
};
|
||||
|
||||
CHECK(secp256k1_pedersen_commit(ctx, &pc, vector_blind, value, secp256k1_generator_h));
|
||||
CHECK(secp256k1_rangeproof_sign(ctx, proof, &p_len, min_value, &pc, vector_blind, vector_nonce, exp, min_bits, value, message, m_len, NULL, 0, secp256k1_generator_h));
|
||||
CHECK(p_len <= secp256k1_rangeproof_max_size(ctx, value, min_bits));
|
||||
CHECK(p_len == sizeof(proof));
|
||||
/* Uncomment the next line to print the test vector */
|
||||
/* print_vector(0, proof, p_len, &pc); */
|
||||
CHECK(p_len == sizeof(vector_0));
|
||||
CHECK(secp256k1_memcmp_var(proof, vector_0, p_len) == 0);
|
||||
|
||||
test_rangeproof_fixed_vectors_reproducible_helper(vector_0, sizeof(vector_0), commit_0, &value_r, &min_value_r, &max_value_r, message_r, &m_len_r);
|
||||
CHECK(value_r == value);
|
||||
CHECK(m_len_r == m_len);
|
||||
CHECK(secp256k1_memcmp_var(message_r, message, m_len_r) == 0);
|
||||
CHECK(min_value_r == min_value);
|
||||
CHECK(max_value_r == UINT64_MAX);
|
||||
memset(message_r, 0, sizeof(message_r));
|
||||
}
|
||||
|
||||
/* Test min_bits = 3 */
|
||||
{
|
||||
uint64_t value = 13;
|
||||
size_t m_len = 128; /* maximum message length with min_bits = 3 */
|
||||
|
||||
uint64_t min_value = 1;
|
||||
int min_bits = 3;
|
||||
int exp = 1;
|
||||
unsigned char proof[267];
|
||||
size_t p_len = sizeof(proof);
|
||||
secp256k1_pedersen_commitment pc;
|
||||
|
||||
unsigned char vector_1[] = {
|
||||
0x61, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03, 0x01, 0xcb, 0xdc, 0xbe, 0x42, 0xe6,
|
||||
0x44, 0x1e, 0xc4, 0x63, 0x9d, 0xb1, 0x93, 0x7b, 0x49, 0xdc, 0xd5, 0x6e, 0x55, 0xdd, 0x3b, 0x1e,
|
||||
0x41, 0x1c, 0x0e, 0xd7, 0x47, 0xd7, 0xf0, 0x26, 0xf7, 0xe4, 0x36, 0xbd, 0x51, 0xb9, 0x77, 0x90,
|
||||
0x33, 0xdd, 0x64, 0xe7, 0x47, 0x38, 0x49, 0x29, 0x12, 0xa8, 0x12, 0x79, 0xbc, 0x62, 0xea, 0xf9,
|
||||
0xb5, 0x51, 0x8f, 0x51, 0xea, 0x28, 0x5d, 0x30, 0x9f, 0x30, 0xd5, 0x93, 0x31, 0x56, 0x61, 0x01,
|
||||
0xd7, 0x7f, 0xa4, 0xec, 0xfc, 0xe5, 0x83, 0x52, 0x5a, 0xe0, 0x80, 0x76, 0x40, 0xb8, 0x8d, 0x67,
|
||||
0x23, 0x46, 0x8c, 0xb8, 0x74, 0x2a, 0x20, 0x12, 0x86, 0x4d, 0xd8, 0x8c, 0x23, 0x73, 0x2f, 0xbe,
|
||||
0x99, 0xa5, 0xd5, 0x8c, 0x11, 0xc7, 0xb2, 0xf9, 0xd3, 0x7c, 0x88, 0x16, 0x4d, 0x21, 0x80, 0x10,
|
||||
0x70, 0xfc, 0x1f, 0x9b, 0x0b, 0x5e, 0xbe, 0xe3, 0x65, 0xe2, 0x4f, 0xbd, 0x1d, 0xb0, 0x64, 0x0a,
|
||||
0xc5, 0xe0, 0x94, 0x8b, 0x49, 0xf7, 0xc4, 0x88, 0x5e, 0xc0, 0x2d, 0xbb, 0x98, 0x60, 0x5f, 0xd2,
|
||||
0x7a, 0x9a, 0xff, 0x9e, 0x1c, 0x1f, 0x45, 0x34, 0x08, 0x96, 0xa9, 0xd3, 0xa5, 0x4d, 0x95, 0x9c,
|
||||
0x1f, 0xe6, 0xe5, 0xdc, 0x32, 0xbb, 0x18, 0x4a, 0x76, 0x22, 0xe9, 0x75, 0x1f, 0x45, 0x6b, 0x81,
|
||||
0x70, 0x4a, 0xc8, 0x00, 0x72, 0x7a, 0xc8, 0xee, 0xed, 0xc5, 0x19, 0x8f, 0xec, 0x7b, 0x4b, 0xfd,
|
||||
0x7f, 0xc8, 0x51, 0xda, 0x28, 0x0e, 0x95, 0xd3, 0xc6, 0xc1, 0x29, 0x28, 0x3f, 0xd8, 0x3d, 0x41,
|
||||
0xde, 0xdf, 0xfc, 0x2b, 0x71, 0x3a, 0xdb, 0x78, 0xa4, 0x0e, 0x50, 0xb8, 0xf9, 0xae, 0xdb, 0x7b,
|
||||
0xb1, 0x31, 0x81, 0xc2, 0xf2, 0xb5, 0x01, 0x64, 0x8e, 0x86, 0xe2, 0x8b, 0x67, 0x13, 0xec, 0x7e,
|
||||
0xf5, 0xad, 0x9d, 0x57, 0x2b, 0x5d, 0x0c, 0x94, 0xa9, 0x89, 0x92,
|
||||
};
|
||||
unsigned char commit_1[] = {
|
||||
0x09, 0xe5, 0xb3, 0x27, 0x82, 0x88, 0xeb, 0x21, 0xcd, 0xb2, 0x56, 0x37, 0x61, 0x84, 0xce, 0xc1,
|
||||
0x66, 0x16, 0x2e, 0x44, 0xc8, 0x65, 0x8e, 0xe6, 0x3a, 0x1a, 0x57, 0x2c, 0xb9, 0x6c, 0x07, 0x85,
|
||||
0xf0,
|
||||
};
|
||||
CHECK(secp256k1_pedersen_commit(ctx, &pc, vector_blind, value, secp256k1_generator_h));
|
||||
CHECK(secp256k1_rangeproof_sign(ctx, proof, &p_len, min_value, &pc, vector_blind, vector_nonce, exp, min_bits, value, message, m_len, NULL, 0, secp256k1_generator_h));
|
||||
CHECK(p_len <= secp256k1_rangeproof_max_size(ctx, value, min_bits));
|
||||
CHECK(p_len == sizeof(proof));
|
||||
/* Uncomment the next line to print the test vector */
|
||||
/* print_vector(1, proof, p_len, &pc); */
|
||||
CHECK(p_len == sizeof(vector_1));
|
||||
CHECK(secp256k1_memcmp_var(proof, vector_1, p_len) == 0);
|
||||
|
||||
test_rangeproof_fixed_vectors_reproducible_helper(vector_1, sizeof(vector_1), commit_1, &value_r, &min_value_r, &max_value_r, message_r, &m_len_r);
|
||||
CHECK(value_r == value);
|
||||
CHECK(m_len_r == m_len);
|
||||
CHECK(secp256k1_memcmp_var(message_r, message, m_len_r) == 0);
|
||||
CHECK(min_value_r == 3);
|
||||
CHECK(max_value_r == 73);
|
||||
memset(message_r, 0, sizeof(message_r));
|
||||
}
|
||||
|
||||
/* Test large min_value */
|
||||
{
|
||||
uint64_t value = INT64_MAX;
|
||||
size_t m_len = 0; /* maximum message length with min_bits = 3 */
|
||||
|
||||
/* Uncomment this to recreate test vector */
|
||||
uint64_t min_value = INT64_MAX-1;
|
||||
int min_bits = 1;
|
||||
int exp = 0;
|
||||
unsigned char proof[106];
|
||||
size_t p_len = sizeof(proof);
|
||||
secp256k1_pedersen_commitment pc;
|
||||
|
||||
unsigned char vector_2[] = {
|
||||
0x60, 0x00, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0x81, 0xd8, 0x21, 0x12, 0x4d, 0xa4,
|
||||
0x84, 0xdd, 0x2c, 0xd1, 0x04, 0xe7, 0x08, 0x9a, 0xd3, 0x6f, 0xa5, 0xd8, 0xfc, 0x52, 0x4c, 0xba,
|
||||
0xf0, 0x83, 0xeb, 0x76, 0x9f, 0x1c, 0x03, 0xe3, 0xcf, 0x23, 0x1e, 0x40, 0x18, 0xc6, 0x6d, 0xf9,
|
||||
0x25, 0x56, 0x80, 0x3c, 0x83, 0xdd, 0x58, 0x36, 0x43, 0xe3, 0x56, 0xa0, 0xb7, 0xf0, 0x0e, 0xf9,
|
||||
0xe2, 0x8b, 0x82, 0x5a, 0x77, 0xa7, 0xbe, 0x36, 0x98, 0x10, 0x99, 0x2e, 0xaa, 0x21, 0x24, 0xe6,
|
||||
0x78, 0xa8, 0xcc, 0xc7, 0x06, 0x1c, 0x06, 0xb0, 0x03, 0x87, 0x86, 0x89, 0xce, 0x85, 0x88, 0xea,
|
||||
0xa1, 0x9d, 0x4d, 0xfd, 0x8d, 0x65, 0xbd, 0xa9, 0xd0, 0x0f,
|
||||
};
|
||||
unsigned char commit_2[] = {
|
||||
0x09, 0x2a, 0x74, 0xa1, 0x9c, 0xee, 0xcb, 0x6a, 0xd1, 0xa7, 0x97, 0xbe, 0x97, 0xe7, 0xb6, 0x37,
|
||||
0x90, 0x96, 0xc2, 0x5a, 0xe5, 0xfc, 0xed, 0x91, 0xff, 0x4c, 0x67, 0x07, 0x96, 0x1d, 0x2a, 0xb3,
|
||||
0x70,
|
||||
};
|
||||
|
||||
CHECK(secp256k1_pedersen_commit(ctx, &pc, vector_blind, value, secp256k1_generator_h));
|
||||
CHECK(secp256k1_rangeproof_sign(ctx, proof, &p_len, min_value, &pc, vector_blind, vector_nonce, exp, min_bits, value, message, m_len, NULL, 0, secp256k1_generator_h));
|
||||
CHECK(p_len <= secp256k1_rangeproof_max_size(ctx, value, min_bits));
|
||||
CHECK(p_len == sizeof(proof));
|
||||
/* Uncomment the next line to print the test vector */
|
||||
/* print_vector(2, proof, p_len, &pc); */
|
||||
CHECK(p_len == sizeof(vector_2));
|
||||
CHECK(secp256k1_memcmp_var(proof, vector_2, p_len) == 0);
|
||||
|
||||
test_rangeproof_fixed_vectors_reproducible_helper(vector_2, sizeof(vector_2), commit_2, &value_r, &min_value_r, &max_value_r, message_r, &m_len_r);
|
||||
CHECK(value_r == value);
|
||||
CHECK(m_len_r == m_len);
|
||||
CHECK(secp256k1_memcmp_var(message_r, message, m_len_r) == 0);
|
||||
CHECK(min_value_r == INT64_MAX-1);
|
||||
CHECK(max_value_r == INT64_MAX);
|
||||
memset(message_r, 0, sizeof(message_r));
|
||||
}
|
||||
}
|
||||
|
||||
void test_pedersen_commitment_fixed_vector(void) {
|
||||
@ -748,7 +1545,13 @@ void test_pedersen_commitment_fixed_vector(void) {
|
||||
void run_rangeproof_tests(void) {
|
||||
int i;
|
||||
test_api();
|
||||
|
||||
test_single_value_proof(0);
|
||||
test_single_value_proof(12345678);
|
||||
test_single_value_proof(UINT64_MAX);
|
||||
|
||||
test_rangeproof_fixed_vectors();
|
||||
test_rangeproof_fixed_vectors_reproducible();
|
||||
test_pedersen_commitment_fixed_vector();
|
||||
for (i = 0; i < count / 2 + 1; i++) {
|
||||
test_pedersen();
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user