@@ -402,6 +402,157 @@ static void keccak_squeezeblocks(uint8_t *h, size_t nblocks, | |||
} | |||
} | |||
/************************************************* | |||
* Name: keccak_inc_init | |||
* | |||
* Description: Initializes the incremental Keccak state to zero. | |||
* | |||
* Arguments: - uint64_t *s_inc: pointer to input/output incremental state | |||
* First 25 values represent Keccak state. | |||
* 26th value represents either the number of absorbed bytes | |||
* that have not been permuted, or not-yet-squeezed bytes. | |||
**************************************************/ | |||
static void keccak_inc_init(uint64_t *s_inc) { | |||
size_t i; | |||
for (i = 0; i < 25; ++i) { | |||
s_inc[i] = 0; | |||
} | |||
s_inc[25] = 0; | |||
} | |||
/************************************************* | |||
* Name: keccak_inc_absorb | |||
* | |||
* Description: Incremental keccak absorb | |||
* Preceded by keccak_inc_init, succeeded by keccak_inc_finalize | |||
* | |||
* Arguments: - uint64_t *s_inc: pointer to input/output incremental state | |||
* First 25 values represent Keccak state. | |||
* 26th value represents either the number of absorbed bytes | |||
* that have not been permuted, or not-yet-squeezed bytes. | |||
* - uint32_t r: rate in bytes (e.g., 168 for SHAKE128) | |||
* - const uint8_t *m: pointer to input to be absorbed into s | |||
* - size_t mlen: length of input in bytes | |||
**************************************************/ | |||
static void keccak_inc_absorb(uint64_t *s_inc, uint32_t r, const uint8_t *m, | |||
size_t mlen) { | |||
size_t i; | |||
/* Recall that s_inc[25] is the non-absorbed bytes xored into the state */ | |||
while (mlen + s_inc[25] >= r) { | |||
for (i = 0; i < r - s_inc[25]; i++) { | |||
/* Take the i'th byte from message | |||
xor with the s_inc[25] + i'th byte of the state; little-endian */ | |||
s_inc[(s_inc[25] + i) >> 3] ^= (uint64_t)m[i] << (8 * ((s_inc[25] + i) & 0x07)); | |||
} | |||
mlen -= (size_t)(r - s_inc[25]); | |||
m += r - s_inc[25]; | |||
s_inc[25] = 0; | |||
KeccakF1600_StatePermute(s_inc); | |||
} | |||
for (i = 0; i < mlen; i++) { | |||
s_inc[(s_inc[25] + i) >> 3] ^= (uint64_t)m[i] << (8 * ((s_inc[25] + i) & 0x07)); | |||
} | |||
s_inc[25] += mlen; | |||
} | |||
/************************************************* | |||
* Name: keccak_inc_finalize | |||
* | |||
* Description: Finalizes Keccak absorb phase, prepares for squeezing | |||
* | |||
* Arguments: - uint64_t *s_inc: pointer to input/output incremental state | |||
* First 25 values represent Keccak state. | |||
* 26th value represents either the number of absorbed bytes | |||
* that have not been permuted, or not-yet-squeezed bytes. | |||
* - uint32_t r: rate in bytes (e.g., 168 for SHAKE128) | |||
* - uint8_t p: domain-separation byte for different | |||
* Keccak-derived functions | |||
**************************************************/ | |||
static void keccak_inc_finalize(uint64_t *s_inc, uint32_t r, uint8_t p) { | |||
/* After keccak_inc_absorb, we are guaranteed that s_inc[25] < r, | |||
so we can always use one more byte for p in the current state. */ | |||
s_inc[s_inc[25] >> 3] ^= (uint64_t)p << (8 * (s_inc[25] & 0x07)); | |||
s_inc[(r - 1) >> 3] ^= (uint64_t)128 << (8 * ((r - 1) & 0x07)); | |||
s_inc[25] = 0; | |||
} | |||
/************************************************* | |||
* Name: keccak_inc_squeeze | |||
* | |||
* Description: Incremental Keccak squeeze; can be called on byte-level | |||
* | |||
* Arguments: - uint8_t *h: pointer to output bytes | |||
* - size_t outlen: number of bytes to be squeezed | |||
* - uint64_t *s_inc: pointer to input/output incremental state | |||
* First 25 values represent Keccak state. | |||
* 26th value represents either the number of absorbed bytes | |||
* that have not been permuted, or not-yet-squeezed bytes. | |||
* - uint32_t r: rate in bytes (e.g., 168 for SHAKE128) | |||
**************************************************/ | |||
static void keccak_inc_squeeze(uint8_t *h, size_t outlen, | |||
uint64_t *s_inc, uint32_t r) { | |||
size_t i; | |||
/* First consume any bytes we still have sitting around */ | |||
for (i = 0; i < outlen && i < s_inc[25]; i++) { | |||
/* There are s_inc[25] bytes left, so r - s_inc[25] is the first | |||
available byte. We consume from there, i.e., up to r. */ | |||
h[i] = (uint8_t)(s_inc[(r - s_inc[25] + i) >> 3] >> (8 * ((r - s_inc[25] + i) & 0x07))); | |||
} | |||
h += i; | |||
outlen -= i; | |||
s_inc[25] -= i; | |||
/* Then squeeze the remaining necessary blocks */ | |||
while (outlen > 0) { | |||
KeccakF1600_StatePermute(s_inc); | |||
for (i = 0; i < outlen && i < r; i++) { | |||
h[i] = (uint8_t)(s_inc[i >> 3] >> (8 * (i & 0x07))); | |||
} | |||
h += i; | |||
outlen -= i; | |||
s_inc[25] = r - i; | |||
} | |||
} | |||
void shake128_inc_init(uint64_t *s_inc) { | |||
keccak_inc_init(s_inc); | |||
} | |||
void shake128_inc_absorb(uint64_t *s_inc, const uint8_t *input, size_t inlen) { | |||
keccak_inc_absorb(s_inc, SHAKE128_RATE, input, inlen); | |||
} | |||
void shake128_inc_finalize(uint64_t *s_inc) { | |||
keccak_inc_finalize(s_inc, SHAKE128_RATE, 0x1F); | |||
} | |||
void shake128_inc_squeeze(uint8_t *output, size_t outlen, uint64_t *s_inc) { | |||
keccak_inc_squeeze(output, outlen, s_inc, SHAKE128_RATE); | |||
} | |||
void shake256_inc_init(uint64_t *s_inc) { | |||
keccak_inc_init(s_inc); | |||
} | |||
void shake256_inc_absorb(uint64_t *s_inc, const uint8_t *input, size_t inlen) { | |||
keccak_inc_absorb(s_inc, SHAKE256_RATE, input, inlen); | |||
} | |||
void shake256_inc_finalize(uint64_t *s_inc) { | |||
keccak_inc_finalize(s_inc, SHAKE256_RATE, 0x1F); | |||
} | |||
void shake256_inc_squeeze(uint8_t *output, size_t outlen, uint64_t *s_inc) { | |||
keccak_inc_squeeze(output, outlen, s_inc, SHAKE256_RATE); | |||
} | |||
/************************************************* | |||
* Name: shake128_absorb | |||
* | |||
@@ -13,10 +13,19 @@ void shake128_absorb(uint64_t *s, const uint8_t *input, size_t inlen); | |||
void shake128_squeezeblocks(uint8_t *output, size_t nblocks, uint64_t *s); | |||
void shake256_absorb(uint64_t *s, const uint8_t *input, size_t inlen); | |||
void shake128_inc_init(uint64_t *s_inc); | |||
void shake128_inc_absorb(uint64_t *s_inc, const uint8_t *input, size_t inlen); | |||
void shake128_inc_finalize(uint64_t *s_inc); | |||
void shake128_inc_squeeze(uint8_t *output, size_t outlen, uint64_t *s_inc); | |||
void shake256_absorb(uint64_t *s, const uint8_t *input, size_t inlen); | |||
void shake256_squeezeblocks(uint8_t *output, size_t nblocks, uint64_t *s); | |||
void shake256_inc_init(uint64_t *s_inc); | |||
void shake256_inc_absorb(uint64_t *s_inc, const uint8_t *input, size_t inlen); | |||
void shake256_inc_finalize(uint64_t *s_inc); | |||
void shake256_inc_squeeze(uint8_t *output, size_t outlen, uint64_t *s_inc); | |||
void shake128(uint8_t *output, size_t outlen, | |||
const uint8_t *input, size_t inlen); | |||
@@ -17,7 +17,7 @@ DEST_DIR=../bin | |||
# This -Wall was supported by the European Commission through the ERC Starting Grant 805031 (EPOQUE) | |||
CFLAGS=-Wall -Wextra -Wpedantic -Werror -std=c99 -I$(COMMON_DIR) $(EXTRAFLAGS) | |||
all: $(DEST_DIR)/functest_$(SCHEME)_$(IMPLEMENTATION) $(DEST_DIR)/testvectors_$(SCHEME)_$(IMPLEMENTATION) | |||
all: $(DEST_DIR)/functest_$(SCHEME)_$(IMPLEMENTATION) $(DEST_DIR)/testvectors_$(SCHEME)_$(IMPLEMENTATION) $(DEST_DIR)/test_fips202 | |||
.PHONY: build-scheme | |||
build-scheme: | |||
@@ -33,6 +33,10 @@ functest: $(DEST_DIR)/functest_$(SCHEME)_$(IMPLEMENTATION) | |||
.PHONY: testvectors | |||
testvectors: $(DEST_DIR)/testvectors_$(SCHEME)_$(IMPLEMENTATION) | |||
$(DEST_DIR)/test_fips202: common/fips202.c $(COMMON_FILES) | |||
mkdir -p $(DEST_DIR) | |||
$(CC) $(CFLAGS) $< $(COMMON_FILES) -o $@ | |||
$(DEST_DIR)/functest_$(SCHEME)_$(IMPLEMENTATION): build-scheme crypto_$(TYPE)/functest.c $(COMMON_FILES) $(COMMON_DIR)/randombytes.c $(COMMON_HEADERS) | |||
mkdir -p $(DEST_DIR) | |||
$(CC) $(CFLAGS) -DPQCLEAN_NAMESPACE=PQCLEAN_$(SCHEME_UPPERCASE)_$(IMPLEMENTATION_UPPERCASE) -I$(SCHEME_DIR) crypto_$(TYPE)/functest.c $(COMMON_FILES) $(COMMON_DIR)/notrandombytes.c -o $@ -L$(SCHEME_DIR) -l$(SCHEME)_$(IMPLEMENTATION) | |||
@@ -45,3 +49,4 @@ $(DEST_DIR)/testvectors_$(SCHEME)_$(IMPLEMENTATION): build-scheme crypto_$(TYPE) | |||
clean: | |||
$(RM) $(DEST_DIR)/functest_$(SCHEME)_$(IMPLEMENTATION) | |||
$(RM) $(DEST_DIR)/testvectors_$(SCHEME)_$(IMPLEMENTATION) | |||
$(RM) $(DEST_DIR)/test_fips202 |
@@ -0,0 +1,236 @@ | |||
#include "fips202.h" | |||
#include <stdio.h> | |||
#include <stdint.h> | |||
#include <string.h> | |||
#include <inttypes.h> | |||
const unsigned char plaintext[44] = "The quick brown fox jumps over the lazy dog"; | |||
const unsigned char expected[512] = { | |||
0xf4, 0x20, 0x2e, 0x3c, 0x58, 0x52, 0xf9, 0x18, 0x2a, 0x04, 0x30, 0xfd, | |||
0x81, 0x44, 0xf0, 0xa7, 0x4b, 0x95, 0xe7, 0x41, 0x7e, 0xca, 0xe1, 0x7d, | |||
0xb0, 0xf8, 0xcf, 0xee, 0xd0, 0xe3, 0xe6, 0x6e, 0xb5, 0x58, 0x5e, 0xc6, | |||
0xf8, 0x60, 0x21, 0xca, 0xcf, 0x27, 0x2c, 0x79, 0x8b, 0xcf, 0x97, 0xd3, | |||
0x68, 0xb8, 0x86, 0xb1, 0x8f, 0xec, 0x3a, 0x57, 0x1f, 0x09, 0x60, 0x86, | |||
0xa5, 0x23, 0x71, 0x7a, 0x37, 0x32, 0xd5, 0x0d, 0xb2, 0xb0, 0xb7, 0x99, | |||
0x8b, 0x41, 0x17, 0xae, 0x66, 0xa7, 0x61, 0xcc, 0xf1, 0x84, 0x7a, 0x16, | |||
0x16, 0xf4, 0xc0, 0x7d, 0x51, 0x78, 0xd0, 0xd9, 0x65, 0xf9, 0xfe, 0xba, | |||
0x35, 0x14, 0x20, 0xf8, 0xbf, 0xb6, 0xf5, 0xab, 0x9a, 0x0c, 0xb1, 0x02, | |||
0x56, 0x8e, 0xab, 0xf3, 0xdf, 0xa4, 0xe2, 0x22, 0x79, 0xf8, 0x08, 0x2d, | |||
0xce, 0x81, 0x43, 0xeb, 0x78, 0x23, 0x5a, 0x1a, 0x54, 0x91, 0x4a, 0xb7, | |||
0x1a, 0xbb, 0x07, 0xf2, 0xf3, 0x64, 0x84, 0x68, 0x37, 0x0b, 0x9f, 0xbb, | |||
0x07, 0x1e, 0x07, 0x4f, 0x1c, 0x03, 0x0a, 0x40, 0x30, 0x22, 0x5f, 0x40, | |||
0xc3, 0x94, 0x80, 0x33, 0x9f, 0x3d, 0xc7, 0x1d, 0x0f, 0x04, 0xf7, 0x13, | |||
0x26, 0xde, 0x13, 0x81, 0x67, 0x4c, 0xc8, 0x9e, 0x25, 0x9e, 0x21, 0x99, | |||
0x27, 0xfa, 0xe8, 0xea, 0x27, 0x99, 0xa0, 0x3d, 0xa8, 0x62, 0xa5, 0x5a, | |||
0xfa, 0xfe, 0x67, 0x09, 0x57, 0xa2, 0xaf, 0x33, 0x18, 0xd9, 0x19, 0xd0, | |||
0xa3, 0x35, 0x8f, 0x3b, 0x89, 0x12, 0x36, 0xd6, 0xa8, 0xe8, 0xd1, 0x99, | |||
0x99, 0xd1, 0x07, 0x6b, 0x52, 0x99, 0x68, 0xfa, 0xef, 0xbd, 0x88, 0x0d, | |||
0x77, 0xbb, 0x30, 0x08, 0x29, 0xdc, 0xa8, 0x7e, 0x9c, 0x8e, 0x4c, 0x28, | |||
0xe0, 0x80, 0x0f, 0xf3, 0x74, 0x90, 0xa5, 0xbd, 0x8c, 0x36, 0xc0, 0xb0, | |||
0xbd, 0xb2, 0x70, 0x1a, 0x5d, 0x58, 0xd0, 0x33, 0x78, 0xb9, 0xdb, 0xd3, | |||
0x84, 0x38, 0x9e, 0x3e, 0xf0, 0xfd, 0x40, 0x03, 0xb0, 0x89, 0x98, 0xfd, | |||
0x3f, 0x32, 0xfe, 0x1a, 0x08, 0x10, 0xfc, 0x0e, 0xcc, 0xaa, 0xd9, 0x4b, | |||
0xca, 0x8d, 0xd8, 0x3b, 0x34, 0x55, 0x9c, 0x33, 0x3f, 0x0b, 0x16, 0xdf, | |||
0xc2, 0x89, 0x6e, 0xd8, 0x7b, 0x30, 0xba, 0x14, 0xc8, 0x1f, 0x87, 0xcd, | |||
0x8b, 0x4b, 0xb6, 0x31, 0x7d, 0xb8, 0x9b, 0x0e, 0x7e, 0x94, 0xc0, 0x61, | |||
0x6f, 0x9a, 0x66, 0x5f, 0xba, 0x5b, 0x0e, 0x6f, 0xb3, 0x54, 0x9c, 0x9d, | |||
0x7b, 0x68, 0xe6, 0x6d, 0x08, 0xa8, 0x6e, 0xb2, 0xfa, 0xec, 0x05, 0xcc, | |||
0x46, 0x2a, 0x77, 0x18, 0x06, 0xb9, 0x3c, 0xc3, 0x8b, 0x0a, 0x4f, 0xeb, | |||
0x99, 0x35, 0xc6, 0xc8, 0x94, 0x5d, 0xa6, 0xa5, 0x89, 0x89, 0x1b, 0xa5, | |||
0xee, 0x99, 0x75, 0x3c, 0xfd, 0xd3, 0x8e, 0x1a, 0xbc, 0x71, 0x47, 0xfd, | |||
0x74, 0xb7, 0xc7, 0xd1, 0xce, 0x06, 0x09, 0xb6, 0x68, 0x0a, 0x2e, 0x18, | |||
0x88, 0x8d, 0x84, 0x94, 0x9b, 0x6e, 0x6c, 0xf6, 0xa2, 0xaa, 0x41, 0x13, | |||
0x53, 0x5a, 0xae, 0xe0, 0x79, 0x45, 0x9e, 0x3f, 0x25, 0x7b, 0x56, 0x9a, | |||
0x94, 0x50, 0x52, 0x3c, 0x41, 0xf5, 0xb5, 0xba, 0x4b, 0x79, 0xb3, 0xba, | |||
0x59, 0x49, 0x14, 0x0a, 0x74, 0xbb, 0x04, 0x8d, 0xe0, 0x65, 0x7d, 0x04, | |||
0x95, 0x4b, 0xdd, 0x71, 0xda, 0xe7, 0x6f, 0x61, 0xe2, 0xa1, 0xf8, 0x8a, | |||
0xec, 0xb9, 0x1c, 0xfa, 0x5b, 0x36, 0xc1, 0xbf, 0x33, 0x50, 0xa7, 0x98, | |||
0xdc, 0x4d, 0xcf, 0x48, 0x62, 0x8e, 0xff, 0xe3, 0xa0, 0xc5, 0x34, 0x0c, | |||
0x75, 0x6b, 0xd9, 0x22, 0xf7, 0x8d, 0x0e, 0x36, 0xef, 0x7d, 0xf1, 0x2c, | |||
0xe7, 0x8c, 0x17, 0x9c, 0xc7, 0x21, 0xad, 0x08, 0x7e, 0x15, 0xea, 0x49, | |||
0x6b, 0xf5, 0xf6, 0x0b, 0x21, 0xb5, 0x82, 0x2d | |||
}; | |||
static int test_shake128_incremental(void) { | |||
unsigned char input[512]; | |||
unsigned char check[512]; | |||
unsigned char output[512]; | |||
uint64_t s_inc_absorb[26]; | |||
uint64_t s_inc_squeeze[26]; | |||
uint64_t s_inc_squeeze_all[26]; | |||
uint64_t s_inc_both[26]; | |||
uint64_t s_combined[25]; | |||
int i; | |||
int absorbed; | |||
int squeezed; | |||
int returncode = 0; | |||
for (i = 0; i < 512; i++) { | |||
input[i] = i; | |||
} | |||
shake128(check, 512, input, 512); | |||
shake128_inc_init(s_inc_absorb); | |||
absorbed = 0; | |||
for (i = 0; i < 512 && absorbed + i <= 512; i++) { | |||
shake128_inc_absorb(s_inc_absorb, input + absorbed, i); | |||
absorbed += i; | |||
} | |||
shake128_inc_absorb(s_inc_absorb, input + absorbed, 512 - absorbed); | |||
shake128_inc_finalize(s_inc_absorb); | |||
shake128_absorb(s_combined, input, 512); | |||
if (memcmp(s_inc_absorb, s_combined, 25 * sizeof(uint64_t))) { | |||
printf("ERROR shake128 state after incremental absorb did not match all-at-once absorb.\n"); | |||
printf(" Expected: "); | |||
for (i = 0; i < 25; i++) { | |||
printf("%016" PRIx64, s_combined[i]); | |||
} | |||
printf("\n"); | |||
printf(" State: "); | |||
for (i = 0; i < 25; i++) { | |||
printf("%016" PRIx64, s_inc_absorb[i]); | |||
} | |||
printf("\n"); | |||
for (i = 0; i < 8 * 25; i++) { | |||
if (((s_combined[i >> 3] >> (8*(i & 0x7))) & 0xFF) != | |||
((s_inc_absorb[i >> 3] >> (8*(i & 0x7))) & 0xFF)) { | |||
printf(" First occurred in int %d, byte %d (%02X should be %02X)\n", | |||
i >> 3, i & 0x7, | |||
(uint8_t)((s_inc_absorb[i >> 3] >> (8*(i & 0x7))) & 0xFF), | |||
(uint8_t)((s_combined[i >> 3] >> (8*(i & 0x7))) & 0xFF)); | |||
break; | |||
} | |||
} | |||
returncode = 1; | |||
} | |||
memcpy(s_inc_both, s_inc_absorb, 26 * sizeof(uint64_t)); | |||
shake128_squeezeblocks(output, 3, s_inc_absorb); | |||
if (memcmp(check, output, 3*SHAKE128_RATE)) { | |||
printf("ERROR shake128 incremental absorb did not match shake128.\n"); | |||
printf(" Expected: "); | |||
for (i = 0; i < 3*SHAKE128_RATE; i++) { | |||
printf("%02X", check[i]); | |||
} | |||
printf("\n"); | |||
printf(" Received: "); | |||
for (i = 0; i < 3*SHAKE128_RATE; i++) { | |||
printf("%02X", output[i]); | |||
} | |||
printf("\n"); | |||
returncode = 1; | |||
} | |||
shake128_absorb(s_inc_squeeze, input, 512); | |||
s_inc_squeeze[25] = 0; | |||
memcpy(s_inc_squeeze_all, s_inc_squeeze, 26 * sizeof(uint64_t)); | |||
shake128_inc_squeeze(output, 512, s_inc_squeeze_all); | |||
if (memcmp(check, output, 512)) { | |||
printf("ERROR shake128 incremental squeeze-all did not match shake128.\n"); | |||
printf(" Expected: "); | |||
for (i = 0; i < 512; i++) { | |||
printf("%02X", check[i]); | |||
} | |||
printf("\n"); | |||
printf(" Received: "); | |||
for (i = 0; i < 512; i++) { | |||
printf("%02X", output[i]); | |||
} | |||
printf("\n"); | |||
returncode = 1; | |||
} | |||
squeezed = 0; | |||
memset(output, 0, 512); | |||
for (i = 0; i < 512 && squeezed + i <= 512; i++) { | |||
shake128_inc_squeeze(output + squeezed, i, s_inc_squeeze); | |||
squeezed += i; | |||
} | |||
shake128_inc_squeeze(output + squeezed, 512 - squeezed, s_inc_squeeze); | |||
if (memcmp(check, output, 512)) { | |||
printf("ERROR shake128 incremental squeeze did not match shake128.\n"); | |||
printf(" Expected: "); | |||
for (i = 0; i < 512; i++) { | |||
printf("%02X", check[i]); | |||
} | |||
printf("\n"); | |||
printf(" Received: "); | |||
for (i = 0; i < 512; i++) { | |||
printf("%02X", output[i]); | |||
} | |||
printf("\n"); | |||
returncode = 1; | |||
} | |||
squeezed = 0; | |||
memset(output, 0, 512); | |||
for (i = 0; i < 512 && squeezed + i <= 512; i++) { | |||
shake128_inc_squeeze(output + squeezed, i, s_inc_both); | |||
squeezed += i; | |||
} | |||
shake128_inc_squeeze(output + squeezed, 512 - squeezed, s_inc_both); | |||
if (memcmp(check, output, 512)) { | |||
printf("ERROR shake128 incremental absorb + squeeze did not match shake128.\n"); | |||
printf(" Expected: "); | |||
for (i = 0; i < 512; i++) { | |||
printf("%02X", check[i]); | |||
} | |||
printf("\n"); | |||
printf(" Received: "); | |||
for (i = 0; i < 512; i++) { | |||
printf("%02X", output[i]); | |||
} | |||
printf("\n"); | |||
returncode = 1; | |||
} | |||
return returncode; | |||
} | |||
static int test_shake128(void) { | |||
unsigned char output[32]; | |||
int i = 0; | |||
shake128(output, 32, plaintext, 43); | |||
if (memcmp(expected, output, 32)) { | |||
printf("ERROR shake128 output did not match test vector.\n"); | |||
printf("Expected: "); | |||
for (i = 0; i < 32; i++) { | |||
printf("%02X", expected[i]); | |||
} | |||
printf("\n"); | |||
printf("Received: "); | |||
for (i = 0; i < 32; i++) { | |||
printf("%02X", output[i]); | |||
} | |||
printf("\n"); | |||
return 1; | |||
} | |||
return 0; | |||
} | |||
int main(void) { | |||
int result = 0; | |||
result += test_shake128(); | |||
result += test_shake128_incremental(); | |||
if (result != 0) { | |||
puts("Errors occurred"); | |||
} | |||
return result; | |||
} |