Add functions for extended RACH coding

Add support for extended RACH (11 bit) according 3GPP TS 45.003 §5.3.2:

* convolutional code with puncturing
* encoding/decoding routines
* corresponding tests

Change-Id: I85a34a82d5cd39a594ee89d91a2338226066ab5d
Related: OS#1548

2 files changed, 30759 insertions, 2 deletions

diff --git a/tests/coding/coding_test.c b/tests/coding/coding_test.c
index b77410fd..511dbb7b 100644
--- a/tests/coding/coding_test.c
+++ b/tests/coding/coding_test.c
@@ -110,7 +110,7 @@ static void test_rach(uint8_t bsic, uint8_t ra)
 
 	/* Encode L2 message */
 	printf("Encoding: %02x\n", ra);
-	gsm0503_rach_encode(bursts_u, &ra, bsic);
+	gsm0503_rach_ext_encode(bursts_u, ra, bsic, false);
 
 	/* Prepare soft-bits */
 	osmo_ubit2sbit(bursts_s, bursts_u, 36);
@@ -126,7 +126,38 @@ static void test_rach(uint8_t bsic, uint8_t ra)
 	gsm0503_rach_decode(&result, bursts_s, bsic);
 	printf("Decoded: %02x\n", result);
 
-	OSMO_ASSERT(ra == result);
+	if (ra != result)
+		printf("FAIL [RACH]: encoded %u != %u decoded\n", ra, result);
+
+	printf("\n");
+}
+
+static void test_rach_ext(uint8_t bsic, uint16_t ra)
+{
+	uint16_t result = 3000; /* Max ext. RA is 2^11 = 2048 */
+	ubit_t bursts_u[36];
+	sbit_t bursts_s[36];
+
+	/* Encode L2 message */
+	printf("Encoding: %02x\n", ra);
+	gsm0503_rach_ext_encode(bursts_u, ra, bsic, true);
+
+	/* Prepare soft-bits */
+	osmo_ubit2sbit(bursts_s, bursts_u, 36);
+
+	printf("U-Bits: %s\n", osmo_ubit_dump(bursts_u, 36));
+
+	printf("S-Bits: %s\n", osmo_hexdump((uint8_t *)bursts_s, 36));
+
+	/* Destroy some bits */
+	memset(bursts_s + 9, 0, 8);
+
+	/* Decode, correcting errors */
+	gsm0503_rach_ext_decode(&result, bursts_s, bsic);
+	printf("Decoded: %02x\n", result);
+
+	if (ra != result)
+		printf("FAIL [RACH ext]: encoded %u != %u decoded\n", ra, result);
 
 	printf("\n");
 }
@@ -332,6 +363,12 @@ int main(int argc, char **argv)
 		test_rach(0x1a, i);
 	}
 
+	for (i = 0; i < 2048; i++) {
+		test_rach_ext(0x3f, i);
+		test_rach_ext(0x00, i);
+		test_rach_ext(0x1a, i);
+	}
+
 	for (i = 0; i < len_l2; i++)
 		test_sch(test_l2[i]);
 
diff --git a/tests/coding/coding_test.ok b/tests/coding/coding_test.ok
index 619f038b..8813af20 100644
--- a/tests/coding/coding_test.ok
+++ b/tests/coding/coding_test.ok
@@ -3880,6 +3880,30726 @@ U-Bits: 111010011010101001001101010001111111
 S-Bits: 81 81 81 7f 81 7f 7f 81 81 7f 81 7f 81 7f 81 7f 7f 81 7f 7f 81 81 7f 81 7f 81 7f 7f 7f 81 81 81 81 81 81 81 
 Decoded: ff
 
+Encoding: 00
+U-Bits: 000000000000000000000000000000000000
+S-Bits: 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 
+Decoded: 00
+
+Encoding: 00
+U-Bits: 000000000000000000011101001101001001
+S-Bits: 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 7f 81 81 7f 81 7f 7f 81 7f 7f 81 
+Decoded: 00
+
+Encoding: 00
+U-Bits: 000000000000000000011010000101110111
+S-Bits: 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 7f 7f 81 7f 81 81 81 7f 81 81 81 
+Decoded: 00
+
+Encoding: 01
+U-Bits: 110111100000000000011101001100100010
+S-Bits: 81 81 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 7f 81 81 7f 7f 81 7f 7f 7f 81 7f 
+Decoded: 01
+
+Encoding: 01
+U-Bits: 110111100000000000000000000001101011
+S-Bits: 81 81 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 81 81 
+Decoded: 01
+
+Encoding: 01
+U-Bits: 110111100000000000000111001001010101
+S-Bits: 81 81 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 7f 81 7f 7f 81 7f 81 7f 81 7f 81 
+Decoded: 01
+
+Encoding: 02
+U-Bits: 010001111000000000000111010011001001
+S-Bits: 7f 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 7f 81 81 7f 7f 81 7f 7f 81 
+Decoded: 02
+
+Encoding: 02
+U-Bits: 010001111000000000011010011110000000
+S-Bits: 7f 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 
+Decoded: 02
+
+Encoding: 02
+U-Bits: 010001111000000000011101010110111110
+S-Bits: 7f 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 81 81 7f 81 81 81 81 81 7f 
+Decoded: 02
+
+Encoding: 03
+U-Bits: 100110011000000000011010011111101011
+S-Bits: 81 7f 7f 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 81 81 7f 81 7f 81 81 
+Decoded: 03
+
+Encoding: 03
+U-Bits: 100110011000000000000111010010100010
+S-Bits: 81 7f 7f 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 7f 81 7f 81 7f 7f 7f 81 7f 
+Decoded: 03
+
+Encoding: 03
+U-Bits: 100110011000000000000000011010011100
+S-Bits: 81 7f 7f 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 7f 7f 
+Decoded: 03
+
+Encoding: 04
+U-Bits: 001010011110000000011101010000011000
+S-Bits: 7f 7f 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 7f 7f 7f 7f 81 81 7f 7f 7f 
+Decoded: 04
+
+Encoding: 04
+U-Bits: 001010011110000000000000011101010001
+S-Bits: 7f 7f 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 7f 7f 81 
+Decoded: 04
+
+Encoding: 04
+U-Bits: 001010011110000000000111010101101111
+S-Bits: 7f 7f 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 81 81 7f 81 81 81 81 
+Decoded: 04
+
+Encoding: 05
+U-Bits: 111101111110000000000000011100111010
+S-Bits: 81 81 81 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 7f 81 81 81 7f 81 7f 
+Decoded: 05
+
+Encoding: 05
+U-Bits: 111101111110000000011101010001110011
+S-Bits: 81 81 81 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 7f 7f 81 81 81 7f 7f 81 81 
+Decoded: 05
+
+Encoding: 05
+U-Bits: 111101111110000000011010011001001101
+S-Bits: 81 81 81 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 7f 7f 81 7f 7f 81 81 7f 81 
+Decoded: 05
+
+Encoding: 06
+U-Bits: 011011100110000000011010000011010001
+S-Bits: 7f 81 81 7f 81 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 7f 81 
+Decoded: 06
+
+Encoding: 06
+U-Bits: 011011100110000000000111001110011000
+S-Bits: 7f 81 81 7f 81 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 7f 81 81 81 7f 7f 81 81 7f 7f 7f 
+Decoded: 06
+
+Encoding: 06
+U-Bits: 011011100110000000000000000110100110
+S-Bits: 7f 81 81 7f 81 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 7f 
+Decoded: 06
+
+Encoding: 07
+U-Bits: 101100000110000000000111001111110011
+S-Bits: 81 7f 81 81 7f 7f 7f 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 7f 81 81 81 81 81 81 7f 7f 81 81 
+Decoded: 07
+
+Encoding: 07
+U-Bits: 101100000110000000011010000010111010
+S-Bits: 81 7f 81 81 7f 7f 7f 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 7f 7f 7f 81 7f 81 81 81 7f 81 7f 
+Decoded: 07
+
+Encoding: 07
+U-Bits: 101100000110000000011101001010000100
+S-Bits: 81 7f 81 81 7f 7f 7f 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 7f 81 7f 81 7f 7f 7f 7f 81 7f 7f 
+Decoded: 07
+
+Encoding: 08
+U-Bits: 000110100111100000000111010100000100
+S-Bits: 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 7f 7f 7f 7f 81 7f 7f 
+Decoded: 08
+
+Encoding: 08
+U-Bits: 000110100111100000011010011001001101
+S-Bits: 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 7f 7f 81 7f 7f 81 81 7f 81 
+Decoded: 08
+
+Encoding: 08
+U-Bits: 000110100111100000011101010001110011
+S-Bits: 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 7f 7f 81 81 81 7f 7f 81 81 
+Decoded: 08
+
+Encoding: 09
+U-Bits: 110001000111100000011010011000100110
+S-Bits: 81 81 7f 7f 7f 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 7f 7f 7f 81 7f 7f 81 81 7f 
+Decoded: 09
+
+Encoding: 09
+U-Bits: 110001000111100000000111010101101111
+S-Bits: 81 81 7f 7f 7f 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 81 81 7f 81 81 81 81 
+Decoded: 09
+
+Encoding: 09
+U-Bits: 110001000111100000000000011101010001
+S-Bits: 81 81 7f 7f 7f 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 7f 7f 81 
+Decoded: 09
+
+Encoding: 0a
+U-Bits: 010111011111100000000000000111001101
+S-Bits: 7f 81 7f 81 81 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 7f 81 81 7f 81 
+Decoded: 0a
+
+Encoding: 0a
+U-Bits: 010111011111100000011101001010000100
+S-Bits: 7f 81 7f 81 81 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 7f 81 7f 81 7f 7f 7f 7f 81 7f 7f 
+Decoded: 0a
+
+Encoding: 0a
+U-Bits: 010111011111100000011010000010111010
+S-Bits: 7f 81 7f 81 81 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 7f 7f 7f 81 7f 81 81 81 7f 81 7f 
+Decoded: 0a
+
+Encoding: 0b
+U-Bits: 100000111111100000011101001011101111
+S-Bits: 81 7f 7f 7f 7f 7f 81 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 7f 81 7f 81 81 81 7f 81 81 81 81 
+Decoded: 0b
+
+Encoding: 0b
+U-Bits: 100000111111100000000000000110100110
+S-Bits: 81 7f 7f 7f 7f 7f 81 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 7f 
+Decoded: 0b
+
+Encoding: 0b
+U-Bits: 100000111111100000000111001110011000
+S-Bits: 81 7f 7f 7f 7f 7f 81 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 7f 81 81 81 7f 7f 81 81 7f 7f 7f 
+Decoded: 0b
+
+Encoding: 0c
+U-Bits: 001100111001100000011010000100011100
+S-Bits: 7f 7f 81 81 7f 7f 81 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 7f 7f 81 7f 7f 7f 81 81 81 7f 7f 
+Decoded: 0c
+
+Encoding: 0c
+U-Bits: 001100111001100000000111001001010101
+S-Bits: 7f 7f 81 81 7f 7f 81 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 7f 81 7f 7f 81 7f 81 7f 81 7f 81 
+Decoded: 0c
+
+Encoding: 0c
+U-Bits: 001100111001100000000000000001101011
+S-Bits: 7f 7f 81 81 7f 7f 81 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 81 81 
+Decoded: 0c
+
+Encoding: 0d
+U-Bits: 111011011001100000000111001000111110
+S-Bits: 81 81 81 7f 81 81 7f 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 7f 81 7f 7f 7f 81 81 81 81 81 7f 
+Decoded: 0d
+
+Encoding: 0d
+U-Bits: 111011011001100000011010000101110111
+S-Bits: 81 81 81 7f 81 81 7f 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 7f 7f 81 7f 81 81 81 7f 81 81 81 
+Decoded: 0d
+
+Encoding: 0d
+U-Bits: 111011011001100000011101001101001001
+S-Bits: 81 81 81 7f 81 81 7f 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 7f 81 81 7f 81 7f 7f 81 7f 7f 81 
+Decoded: 0d
+
+Encoding: 0e
+U-Bits: 011101000001100000011101010111010101
+S-Bits: 7f 81 81 81 7f 81 7f 7f 7f 7f 7f 81 81 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 81 81 81 7f 81 7f 81 7f 81 
+Decoded: 0e
+
+Encoding: 0e
+U-Bits: 011101000001100000000000011010011100
+S-Bits: 7f 81 81 81 7f 81 7f 7f 7f 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 7f 7f 
+Decoded: 0e
+
+Encoding: 0e
+U-Bits: 011101000001100000000111010010100010
+S-Bits: 7f 81 81 81 7f 81 7f 7f 7f 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 7f 81 7f 81 7f 7f 7f 81 7f 
+Decoded: 0e
+
+Encoding: 0f
+U-Bits: 101010100001100000000000011011110111
+S-Bits: 81 7f 81 7f 81 7f 81 7f 7f 7f 7f 81 81 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 81 81 81 7f 81 81 81 
+Decoded: 0f
+
+Encoding: 0f
+U-Bits: 101010100001100000011101010110111110
+S-Bits: 81 7f 81 7f 81 7f 81 7f 7f 7f 7f 81 81 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 81 81 7f 81 81 81 81 81 7f 
+Decoded: 0f
+
+Encoding: 0f
+U-Bits: 101010100001100000011010011110000000
+S-Bits: 81 7f 81 7f 81 7f 81 7f 7f 7f 7f 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 
+Decoded: 0f
+
+Encoding: 10
+U-Bits: 000001101001111000000001110101000010
+S-Bits: 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 81 7f 7f 7f 7f 81 7f 
+Decoded: 10
+
+Encoding: 10
+U-Bits: 000001101001111000011100111000001011
+S-Bits: 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 81 81 81 7f 7f 81 81 81 7f 7f 7f 7f 7f 81 7f 81 81 
+Decoded: 10
+
+Encoding: 10
+U-Bits: 000001101001111000011011110000110101
+S-Bits: 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 81 81 7f 81 81 81 81 7f 7f 7f 7f 81 81 7f 81 7f 81 
+Decoded: 10
+
+Encoding: 11
+U-Bits: 110110001001111000011100111001100000
+S-Bits: 81 81 7f 81 81 7f 7f 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 81 81 81 7f 7f 81 81 81 7f 7f 81 81 7f 7f 7f 7f 7f 
+Decoded: 11
+
+Encoding: 11
+U-Bits: 110110001001111000000001110100101001
+S-Bits: 81 81 7f 81 81 7f 7f 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 81 7f 7f 81 7f 81 7f 7f 81 
+Decoded: 11
+
+Encoding: 11
+U-Bits: 110110001001111000000110111100010111
+S-Bits: 81 81 7f 81 81 7f 7f 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 81 81 81 7f 7f 7f 81 7f 81 81 81 
+Decoded: 11
+
+Encoding: 12
+U-Bits: 010000010001111000000110100110001011
+S-Bits: 7f 81 7f 7f 7f 7f 7f 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 7f 7f 7f 81 7f 81 81 
+Decoded: 12
+
+Encoding: 12
+U-Bits: 010000010001111000011011101011000010
+S-Bits: 7f 81 7f 7f 7f 7f 7f 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 81 81 7f 81 81 81 7f 81 7f 81 81 7f 7f 7f 7f 81 7f 
+Decoded: 12
+
+Encoding: 12
+U-Bits: 010000010001111000011100100011111100
+S-Bits: 7f 81 7f 7f 7f 7f 7f 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 81 81 81 7f 7f 81 7f 7f 7f 81 81 81 81 81 81 7f 7f 
+Decoded: 12
+
+Encoding: 13
+U-Bits: 100111110001111000011011101010101001
+S-Bits: 81 7f 7f 81 81 81 81 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 81 81 7f 81 81 81 7f 81 7f 81 7f 81 7f 81 7f 7f 81 
+Decoded: 13
+
+Encoding: 13
+U-Bits: 100111110001111000000110100111100000
+S-Bits: 81 7f 7f 81 81 81 81 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 
+Decoded: 13
+
+Encoding: 13
+U-Bits: 100111110001111000000001101111011110
+S-Bits: 81 7f 7f 81 81 81 81 81 7f 7f 7f 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 81 81 81 7f 81 81 81 81 7f 
+Decoded: 13
+
+Encoding: 14
+U-Bits: 001011110111111000011100100101011010
+S-Bits: 7f 7f 81 7f 81 81 81 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 81 81 81 7f 7f 81 7f 7f 81 7f 81 7f 81 81 7f 81 7f 
+Decoded: 14
+
+Encoding: 14
+U-Bits: 001011110111111000000001101000010011
+S-Bits: 7f 7f 81 7f 81 81 81 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 7f 7f 81 7f 7f 81 81 
+Decoded: 14
+
+Encoding: 14
+U-Bits: 001011110111111000000110100000101101
+S-Bits: 7f 7f 81 7f 81 81 81 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 7f 7f 7f 81 7f 81 81 7f 81 
+Decoded: 14
+
+Encoding: 15
+U-Bits: 111100010111111000000001101001111000
+S-Bits: 81 81 81 81 7f 7f 7f 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 7f 81 7f 7f 81 81 81 81 7f 7f 7f 
+Decoded: 15
+
+Encoding: 15
+U-Bits: 111100010111111000011100100100110001
+S-Bits: 81 81 81 81 7f 7f 7f 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 81 81 81 7f 7f 81 7f 7f 81 7f 7f 81 81 7f 7f 7f 81 
+Decoded: 15
+
+Encoding: 15
+U-Bits: 111100010111111000011011101100001111
+S-Bits: 81 81 81 81 7f 7f 7f 81 7f 81 81 81 81 81 81 7f 7f 7f 7f 81 81 7f 81 81 81 7f 81 81 7f 7f 7f 7f 81 81 81 81 
+Decoded: 15
+
+Encoding: 16
+U-Bits: 011010001111111000011011110110010011
+S-Bits: 7f 81 81 7f 81 7f 7f 7f 81 81 81 81 81 81 81 7f 7f 7f 7f 81 81 7f 81 81 81 81 7f 81 81 7f 7f 81 7f 7f 81 81 
+Decoded: 16
+
+Encoding: 16
+U-Bits: 011010001111111000000110111011011010
+S-Bits: 7f 81 81 7f 81 7f 7f 7f 81 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 81 81 7f 81 81 7f 81 81 7f 81 7f 
+Decoded: 16
+
+Encoding: 16
+U-Bits: 011010001111111000000001110011100100
+S-Bits: 7f 81 81 7f 81 7f 7f 7f 81 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 7f 7f 81 81 81 7f 7f 81 81 81 7f 7f 81 7f 7f 
+Decoded: 16
+
+Encoding: 17
+U-Bits: 101101101111111000000110111010110001
+S-Bits: 81 7f 81 81 7f 81 81 7f 81 81 81 81 81 81 81 7f 7f 7f 7f 7f 7f 81 81 7f 81 81 81 7f 81 7f 81 81 7f 7f 7f 81 
+Decoded: 17
+
+Encoding: 17
+U-Bits: 101101101111111000011011110111111000
+S-Bits: 81 7f 81 81 7f 81 81 7f 81 81 81 81 81 81 81 7f 7f 7f 7f 81 81 7f 81 81 81 81 7f 81 81 81 81 81 81 7f 7f 7f 
+Decoded: 17
+
+Encoding: 17
+U-Bits: 101101101111111000011100111111000110
+S-Bits: 81 7f 81 81 7f 81 81 7f 81 81 81 81 81 81 81 7f 7f 7f 7f 81 81 81 7f 7f 81 81 81 81 81 81 7f 7f 7f 81 81 7f 
+Decoded: 17
+
+Encoding: 18
+U-Bits: 000111001110011000000110100001000110
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+Encoding: 19
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+Encoding: 20
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+Encoding: 21
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+Encoding: 21
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+Encoding: 21
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+Encoding: 23
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+Encoding: 23
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+Encoding: 25
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+Encoding: 25
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+Encoding: 25
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+Encoding: 26
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+Encoding: 26
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+Encoding: 26
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+Encoding: 27
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+Encoding: 27
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+Encoding: 27
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+Encoding: 28
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+Encoding: 29
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+Encoding: 29
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+Encoding: 2a
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+Encoding: 2a
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+Encoding: 2a
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+Encoding: 2b
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+Encoding: 2b
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+Encoding: 2c
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+Encoding: 2c
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+Encoding: 2d
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+Encoding: 2d
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+Encoding: 2d
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+Encoding: 2e
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+Encoding: 2e
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+Encoding: 2e
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+Encoding: 2f
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+Encoding: 2f
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+Encoding: 2f
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+Encoding: 30
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+Encoding: 31
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+Encoding: 31
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+Decoded: 31
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+Encoding: 31
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+Decoded: 31
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+Encoding: 32
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+Encoding: 32
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+Encoding: 32
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+Encoding: 33
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+Decoded: 33
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+Encoding: 33
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+Decoded: 33
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+Encoding: 33
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+Decoded: 33
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+Encoding: 34
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+Encoding: 3b
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+Encoding: 3b