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bitops.h: Implement half-shuffle and half-unshuffle ops
A half-shuffle operation takes a word with zeros in the high half: 0000 0000 0000 0000 ABCD EFGH IJKL MNOP and spreads the bits out so they are in every other bit of the word: 0A0B 0C0D 0E0F 0G0H 0I0J 0K0L 0M0N 0O0P A half-unshuffle performs the reverse operation. Provide functions in bitops.h which implement these operations for 32-bit and 64-bit inputs, and add tests for them. Signed-off-by: Peter Maydell <peter.maydell@linaro.org> Reviewed-by: Shannon Zhao <shannon.zhao@linaro.org> Tested-by: Shannon Zhao <shannon.zhao@linaro.org> Message-id: 1465915112-29272-3-git-send-email-peter.maydell@linaro.org
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@ -428,4 +428,112 @@ static inline uint64_t deposit64(uint64_t value, int start, int length,
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return (value & ~mask) | ((fieldval << start) & mask);
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}
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/**
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* half_shuffle32:
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* @value: 32-bit value (of which only the bottom 16 bits are of interest)
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*
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* Given an input value:
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* xxxx xxxx xxxx xxxx ABCD EFGH IJKL MNOP
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* return the value where the bottom 16 bits are spread out into
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* the odd bits in the word, and the even bits are zeroed:
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* 0A0B 0C0D 0E0F 0G0H 0I0J 0K0L 0M0N 0O0P
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*
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* Any bits set in the top half of the input are ignored.
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*
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* Returns: the shuffled bits.
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*/
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static inline uint32_t half_shuffle32(uint32_t x)
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{
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/* This algorithm is from _Hacker's Delight_ section 7-2 "Shuffling Bits".
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* It ignores any bits set in the top half of the input.
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*/
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x = ((x & 0xFF00) << 8) | (x & 0x00FF);
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x = ((x << 4) | x) & 0x0F0F0F0F;
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x = ((x << 2) | x) & 0x33333333;
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x = ((x << 1) | x) & 0x55555555;
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return x;
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}
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/**
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* half_shuffle64:
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* @value: 64-bit value (of which only the bottom 32 bits are of interest)
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*
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* Given an input value:
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* xxxx xxxx xxxx .... xxxx xxxx ABCD EFGH IJKL MNOP QRST UVWX YZab cdef
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* return the value where the bottom 32 bits are spread out into
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* the odd bits in the word, and the even bits are zeroed:
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* 0A0B 0C0D 0E0F 0G0H 0I0J 0K0L 0M0N .... 0U0V 0W0X 0Y0Z 0a0b 0c0d 0e0f
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*
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* Any bits set in the top half of the input are ignored.
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*
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* Returns: the shuffled bits.
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*/
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static inline uint64_t half_shuffle64(uint64_t x)
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{
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/* This algorithm is from _Hacker's Delight_ section 7-2 "Shuffling Bits".
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* It ignores any bits set in the top half of the input.
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*/
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x = ((x & 0xFFFF0000ULL) << 16) | (x & 0xFFFF);
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x = ((x << 8) | x) & 0x00FF00FF00FF00FFULL;
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x = ((x << 4) | x) & 0x0F0F0F0F0F0F0F0FULL;
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x = ((x << 2) | x) & 0x3333333333333333ULL;
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x = ((x << 1) | x) & 0x5555555555555555ULL;
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return x;
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}
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/**
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* half_unshuffle32:
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* @value: 32-bit value (of which only the odd bits are of interest)
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*
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* Given an input value:
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* xAxB xCxD xExF xGxH xIxJ xKxL xMxN xOxP
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* return the value where all the odd bits are compressed down
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* into the low half of the word, and the high half is zeroed:
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* 0000 0000 0000 0000 ABCD EFGH IJKL MNOP
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*
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* Any even bits set in the input are ignored.
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*
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* Returns: the unshuffled bits.
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*/
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static inline uint32_t half_unshuffle32(uint32_t x)
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{
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/* This algorithm is from _Hacker's Delight_ section 7-2 "Shuffling Bits".
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* where it is called an inverse half shuffle.
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*/
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x &= 0x55555555;
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x = ((x >> 1) | x) & 0x33333333;
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x = ((x >> 2) | x) & 0x0F0F0F0F;
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x = ((x >> 4) | x) & 0x00FF00FF;
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x = ((x >> 8) | x) & 0x0000FFFF;
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return x;
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}
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/**
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* half_unshuffle64:
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* @value: 64-bit value (of which only the odd bits are of interest)
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*
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* Given an input value:
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* xAxB xCxD xExF xGxH xIxJ xKxL xMxN .... xUxV xWxX xYxZ xaxb xcxd xexf
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* return the value where all the odd bits are compressed down
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* into the low half of the word, and the high half is zeroed:
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* 0000 0000 0000 .... 0000 0000 ABCD EFGH IJKL MNOP QRST UVWX YZab cdef
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*
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* Any even bits set in the input are ignored.
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*
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* Returns: the unshuffled bits.
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*/
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static inline uint64_t half_unshuffle64(uint64_t x)
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{
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/* This algorithm is from _Hacker's Delight_ section 7-2 "Shuffling Bits".
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* where it is called an inverse half shuffle.
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*/
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x &= 0x5555555555555555ULL;
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x = ((x >> 1) | x) & 0x3333333333333333ULL;
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x = ((x >> 2) | x) & 0x0F0F0F0F0F0F0F0FULL;
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x = ((x >> 4) | x) & 0x00FF00FF00FF00FFULL;
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x = ((x >> 8) | x) & 0x0000FFFF0000FFFFULL;
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x = ((x >> 16) | x) & 0x00000000FFFFFFFFULL;
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return x;
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}
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#endif
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@ -65,10 +65,82 @@ static void test_sextract64(void)
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}
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}
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typedef struct {
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uint32_t unshuffled;
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uint32_t shuffled;
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} Shuffle32Test;
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typedef struct {
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uint64_t unshuffled;
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uint64_t shuffled;
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} Shuffle64Test;
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static const Shuffle32Test test_shuffle32_data[] = {
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{ 0x0000FFFF, 0x55555555 },
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{ 0x000081C5, 0x40015011 },
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};
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static const Shuffle64Test test_shuffle64_data[] = {
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{ 0x00000000FFFFFFFFULL, 0x5555555555555555ULL },
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{ 0x00000000493AB02CULL, 0x1041054445000450ULL },
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};
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static void test_half_shuffle32(void)
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{
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int i;
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for (i = 0; i < ARRAY_SIZE(test_shuffle32_data); i++) {
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const Shuffle32Test *test = &test_shuffle32_data[i];
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uint32_t r = half_shuffle32(test->unshuffled);
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g_assert_cmpint(r, ==, test->shuffled);
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}
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}
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static void test_half_shuffle64(void)
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{
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int i;
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for (i = 0; i < ARRAY_SIZE(test_shuffle64_data); i++) {
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const Shuffle64Test *test = &test_shuffle64_data[i];
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uint64_t r = half_shuffle64(test->unshuffled);
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g_assert_cmpint(r, ==, test->shuffled);
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}
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}
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static void test_half_unshuffle32(void)
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{
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int i;
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for (i = 0; i < ARRAY_SIZE(test_shuffle32_data); i++) {
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const Shuffle32Test *test = &test_shuffle32_data[i];
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uint32_t r = half_unshuffle32(test->shuffled);
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g_assert_cmpint(r, ==, test->unshuffled);
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}
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}
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static void test_half_unshuffle64(void)
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{
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int i;
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for (i = 0; i < ARRAY_SIZE(test_shuffle64_data); i++) {
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const Shuffle64Test *test = &test_shuffle64_data[i];
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uint64_t r = half_unshuffle64(test->shuffled);
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g_assert_cmpint(r, ==, test->unshuffled);
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}
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}
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int main(int argc, char **argv)
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{
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g_test_init(&argc, &argv, NULL);
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g_test_add_func("/bitops/sextract32", test_sextract32);
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g_test_add_func("/bitops/sextract64", test_sextract64);
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g_test_add_func("/bitops/half_shuffle32", test_half_shuffle32);
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g_test_add_func("/bitops/half_shuffle64", test_half_shuffle64);
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g_test_add_func("/bitops/half_unshuffle32", test_half_unshuffle32);
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g_test_add_func("/bitops/half_unshuffle64", test_half_unshuffle64);
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return g_test_run();
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}
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