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authorVadim Bendebury <vbendeb@chromium.org>2017-09-12 15:07:23 -0700
committerchrome-bot <chrome-bot@chromium.org>2017-09-27 12:58:00 -0700
commita7d440eaeced82229922ab2fe90f49f4dcf0d242 (patch)
treed368af4e0f924ae348c5962b19a0be3eb43d65a3
parent73612726d3f9afe8c9cf4c7acb3c2c8076009857 (diff)
downloadchrome-ec-a7d440eaeced82229922ab2fe90f49f4dcf0d242.tar.gz
cr50: compress array of prime deltas
The array storing deltas between sequential prime numbers could be compressed, as the vast majority of the values in the array does not require more than 4 buts to store. The new storage format is as follows: - each differential value (difference between two consecutive primes) is halved and stored in 4 bits, two halved values are packed per byte. - I the first one of of the two sequential halved values exceeds 0xf, it is stored in the array followed by a zero, stored as is (without halving), thus taking two bytes. - if the second one of the two sequential halved values exceeds 0xf, both values are stored in the array as is, both prepended by zeros, thus taking 4 bytes. The code calculating the sequential primes parses the array according to this format. Storing the primes in this format allows to shave from the image size 1848 bytes. BRANCH=cr50 BUG=b:65253310, b:65287300 TEST=verified that test_rsa test from the tpmtest suite passes. verified that the list of prime numbers printed out when PRINT_PRIMES is defined and test_rsa is ran is the same before and after this patch. Change-Id: Ifdc2858a48f868ef816ccb4e351d9f60703d16e7 Signed-off-by: Vadim Bendebury <vbendeb@chromium.org> Reviewed-on: https://chromium-review.googlesource.com/664253 Reviewed-by: Nagendra Modadugu <ngm@google.com>
-rw-r--r--chip/g/dcrypto/bn.c498
1 files changed, 225 insertions, 273 deletions
diff --git a/chip/g/dcrypto/bn.c b/chip/g/dcrypto/bn.c
index f03db85c61..5c92f82fda 100644
--- a/chip/g/dcrypto/bn.c
+++ b/chip/g/dcrypto/bn.c
@@ -815,272 +815,208 @@ int bn_modinv_vartime(struct LITE_BIGNUM *dst, const struct LITE_BIGNUM *src,
return 1;
}
-#define NUM_PRIMES 4095
#define PRIME1 3
-/* First NUM_PRIMES worth of primes starting with PRIME1. The entries
- * are a delta / 2 encoding, i.e.:
- * prime(x) = prime(x - 1) + (PRIME_DELTAS[x] * 2)
+/*
+ * The array below is an encoding of the first 4096 primes, starting with
+ * PRIME1. Using 4096 of the first primes results in at least 5% improvement
+ * in running time over using the first 2048.
+ *
+ * Most byte entries in the array contain two sequential differentials between
+ * two adjacent prime numbers, each differential halved (as the difference is
+ * always even) and packed into 4 bits.
*
- * Using 4096 of the first primes results in a 5-10% improvement in
- * running time over using the first 2048. */
-const uint8_t PRIME_DELTAS[NUM_PRIMES] = {
- 0, 1, 1, 2, 1, 2, 1, 2, 3, 1, 3, 2, 1, 2, 3,
- 3, 1, 3, 2, 1, 3, 2, 3, 4, 2, 1, 2, 1, 2, 7, 2,
- 3, 1, 5, 1, 3, 3, 2, 3, 3, 1, 5, 1, 2, 1, 6, 6,
- 2, 1, 2, 3, 1, 5, 3, 3, 3, 1, 3, 2, 1, 5, 7, 2,
- 1, 2, 7, 3, 5, 1, 2, 3, 4, 3, 3, 2, 3, 4, 2, 4,
- 5, 1, 5, 1, 3, 2, 3, 4, 2, 1, 2, 6, 4, 2, 4, 2,
- 3, 6, 1, 9, 3, 5, 3, 3, 1, 3, 5, 3, 3, 1, 3, 3,
- 2, 1, 6, 5, 1, 2, 3, 3, 1, 6, 2, 3, 4, 5, 4, 5,
- 4, 3, 3, 2, 4, 3, 2, 4, 2, 7, 5, 6, 1, 5, 1, 2,
- 1, 5, 7, 2, 1, 2, 7, 2, 1, 2, 10, 2, 4, 5, 4, 2,
- 3, 3, 7, 2, 3, 3, 4, 3, 6, 2, 3, 1, 5, 1, 3, 5,
- 1, 5, 1, 3, 9, 2, 1, 2, 3, 3, 4, 3, 3, 11, 1, 5,
- 4, 5, 3, 3, 4, 6, 2, 3, 3, 1, 3, 6, 5, 9, 1, 2,
- 3, 1, 3, 2, 1, 2, 6, 1, 3, 17, 3, 3, 4, 9, 5, 7,
- 2, 1, 2, 3, 4, 2, 1, 3, 6, 5, 1, 2, 1, 2, 3, 6,
- 6, 4, 6, 3, 2, 3, 4, 2, 4, 2, 7, 2, 3, 1, 2, 3,
- 1, 3, 5, 10, 3, 2, 1, 12, 2, 1, 5, 6, 1, 5, 4, 3,
- 3, 3, 9, 3, 2, 1, 6, 5, 6, 4, 8, 7, 3, 2, 1, 2,
- 1, 5, 6, 3, 3, 9, 1, 8, 1, 11, 3, 4, 3, 2, 1, 2,
- 4, 3, 5, 1, 5, 7, 5, 3, 6, 1, 2, 1, 5, 6, 1, 8,
- 1, 3, 2, 1, 5, 4, 9, 12, 2, 3, 4, 8, 1, 2, 4, 8,
- 1, 2, 4, 3, 3, 2, 6, 1, 11, 3, 1, 3, 2, 3, 7, 3,
- 2, 1, 3, 2, 3, 6, 3, 3, 7, 2, 3, 6, 4, 3, 2, 13,
- 9, 5, 4, 2, 3, 1, 3, 11, 6, 1, 8, 4, 2, 6, 7, 5,
- 1, 2, 4, 3, 3, 2, 1, 2, 3, 4, 2, 1, 3, 5, 1, 5,
- 4, 2, 7, 5, 6, 1, 3, 2, 1, 8, 7, 2, 3, 4, 3, 2,
- 9, 4, 5, 3, 3, 4, 5, 6, 7, 2, 3, 3, 1, 14, 1, 5,
- 4, 2, 7, 2, 4, 6, 3, 6, 2, 3, 10, 5, 1, 8, 13, 2,
- 1, 6, 3, 2, 6, 3, 4, 2, 4, 11, 1, 2, 1, 6, 14, 1,
- 3, 3, 3, 2, 3, 1, 6, 2, 6, 1, 5, 1, 8, 1, 8, 3,
- 10, 8, 4, 2, 1, 2, 1, 11, 4, 6, 3, 5, 1, 2, 3, 1,
- 3, 5, 1, 6, 5, 1, 5, 7, 3, 2, 3, 4, 3, 3, 8, 6,
- 1, 2, 7, 3, 2, 4, 5, 4, 3, 3, 11, 3, 1, 5, 7, 2,
- 3, 9, 1, 5, 7, 2, 1, 5, 7, 2, 4, 9, 2, 3, 1, 2,
- 3, 1, 6, 2, 10, 11, 6, 1, 2, 3, 3, 1, 3, 11, 1, 3,
- 8, 3, 6, 1, 3, 6, 8, 1, 2, 3, 7, 2, 1, 9, 12, 5,
- 3, 1, 5, 1, 5, 1, 5, 3, 1, 5, 1, 5, 3, 4, 15, 5,
- 1, 5, 4, 3, 5, 9, 3, 6, 6, 1, 9, 3, 2, 3, 3, 9,
- 1, 5, 7, 3, 2, 1, 2, 12, 1, 6, 3, 8, 4, 3, 3, 9,
- 8, 1, 2, 3, 1, 3, 3, 5, 3, 6, 6, 9, 1, 3, 2, 9,
- 4, 12, 2, 1, 2, 3, 1, 6, 2, 7, 15, 5, 3, 6, 7, 3,
- 5, 6, 1, 2, 3, 4, 3, 5, 1, 2, 7, 3, 3, 2, 3, 1,
- 5, 1, 8, 6, 4, 9, 2, 3, 6, 1, 3, 3, 3, 14, 3, 7,
- 2, 4, 5, 4, 6, 9, 2, 1, 2, 12, 6, 3, 1, 8, 3, 3,
- 7, 5, 7, 2, 15, 3, 3, 3, 4, 3, 2, 1, 6, 3, 2, 1,
- 3, 11, 3, 1, 2, 9, 1, 2, 6, 1, 3, 2, 13, 3, 3, 2,
- 4, 5, 16, 8, 1, 3, 2, 1, 2, 1, 5, 7, 3, 2, 4, 5,
- 3, 10, 2, 1, 3, 15, 2, 4, 5, 3, 3, 4, 3, 6, 2, 3,
- 1, 3, 2, 3, 1, 5, 1, 8, 3, 10, 2, 6, 7, 14, 3, 10,
- 2, 9, 4, 3, 2, 3, 7, 3, 3, 5, 1, 5, 6, 4, 5, 1,
- 5, 4, 6, 5, 12, 1, 2, 4, 3, 2, 4, 9, 5, 3, 3, 1,
- 3, 5, 6, 1, 5, 3, 3, 3, 4, 3, 5, 3, 1, 3, 3, 3,
- 5, 4, 12, 3, 11, 1, 9, 2, 4, 5, 15, 4, 9, 2, 1, 5,
- 3, 1, 3, 2, 9, 4, 6, 9, 8, 3, 1, 6, 3, 5, 1, 5,
- 1, 3, 5, 7, 2, 12, 1, 8, 1, 5, 1, 5, 10, 2, 1, 2,
- 4, 8, 3, 3, 1, 6, 8, 4, 2, 3, 15, 1, 5, 1, 3, 2,
- 3, 3, 4, 3, 2, 6, 3, 4, 6, 2, 7, 6, 5, 12, 3, 6,
- 3, 1, 11, 4, 9, 5, 3, 7, 2, 1, 3, 5, 4, 3, 2, 3,
- 15, 7, 5, 1, 6, 5, 1, 8, 1, 9, 12, 9, 3, 8, 9, 3,
- 1, 9, 2, 3, 1, 5, 4, 5, 3, 3, 4, 2, 3, 1, 5, 1,
- 6, 2, 3, 3, 1, 6, 2, 7, 9, 2, 3, 10, 2, 4, 3, 2,
- 4, 2, 7, 3, 2, 7, 6, 2, 1, 15, 2, 12, 3, 3, 6, 6,
- 7, 3, 2, 1, 2, 9, 3, 6, 4, 3, 2, 6, 1, 6, 15, 8,
- 1, 3, 11, 7, 3, 5, 6, 3, 1, 2, 4, 5, 3, 3, 12, 7,
- 3, 2, 4, 6, 9, 5, 1, 5, 1, 2, 3, 10, 3, 2, 7, 2,
- 1, 2, 7, 3, 6, 12, 5, 3, 4, 5, 1, 15, 2, 3, 1, 6,
- 2, 7, 3, 17, 6, 4, 3, 5, 1, 2, 10, 5, 4, 8, 1, 5,
- 7, 2, 1, 6, 3, 8, 3, 4, 2, 4, 2, 3, 4, 3, 3, 6,
- 3, 2, 3, 3, 4, 9, 2, 10, 2, 6, 1, 5, 3, 1, 5, 6,
- 1, 2, 10, 3, 15, 3, 2, 4, 5, 6, 3, 1, 14, 1, 3, 2,
- 1, 8, 6, 1, 3, 5, 4, 12, 6, 3, 9, 3, 2, 7, 3, 2,
- 6, 4, 3, 6, 2, 3, 6, 3, 6, 1, 8, 10, 2, 1, 5, 9,
- 4, 2, 7, 2, 1, 3, 11, 3, 7, 3, 3, 5, 3, 1, 5, 1,
- 2, 1, 11, 1, 2, 3, 3, 6, 3, 7, 5, 6, 3, 4, 2, 18,
- 7, 6, 3, 2, 3, 1, 6, 3, 6, 8, 1, 5, 4, 11, 1, 6,
- 3, 2, 3, 9, 1, 6, 3, 2, 6, 4, 3, 6, 2, 3, 6, 3,
- 1, 6, 6, 2, 7, 3, 8, 3, 1, 5, 4, 9, 3, 17, 1, 14,
- 1, 11, 3, 1, 5, 6, 1, 3, 2, 4, 11, 3, 1, 5, 4, 2,
- 3, 4, 2, 6, 9, 6, 10, 2, 3, 3, 4, 2, 1, 8, 6, 1,
- 5, 4, 5, 1, 2, 3, 7, 6, 11, 4, 14, 1, 2, 10, 2, 1,
- 2, 7, 5, 6, 1, 6, 8, 1, 14, 4, 11, 4, 2, 3, 3, 7,
- 2, 4, 6, 3, 3, 2, 10, 2, 9, 1, 6, 3, 2, 3, 7, 9,
- 5, 4, 5, 16, 3, 5, 3, 3, 1, 3, 8, 3, 1, 6, 3, 14,
- 1, 5, 4, 8, 3, 4, 3, 5, 12, 10, 5, 1, 5, 1, 6, 2,
- 3, 10, 2, 1, 6, 9, 5, 1, 5, 1, 2, 10, 8, 13, 2, 4,
- 3, 2, 6, 3, 4, 6, 6, 3, 2, 4, 11, 1, 8, 7, 5, 3,
- 6, 6, 7, 3, 2, 10, 2, 6, 3, 1, 3, 3, 8, 4, 11, 1,
- 14, 4, 3, 2, 10, 2, 6, 12, 10, 2, 4, 5, 1, 8, 1, 6,
- 6, 17, 1, 2, 3, 6, 3, 3, 4, 3, 2, 1, 3, 12, 2, 10,
- 5, 3, 3, 7, 2, 3, 3, 1, 6, 3, 5, 1, 5, 3, 10, 2,
- 13, 2, 1, 3, 11, 1, 12, 2, 3, 1, 2, 3, 12, 3, 4, 2,
- 1, 17, 3, 4, 8, 6, 1, 5, 1, 5, 3, 4, 2, 4, 6, 11,
- 3, 7, 2, 13, 2, 1, 6, 5, 4, 2, 4, 6, 2, 7, 3, 8,
- 3, 4, 2, 3, 3, 4, 3, 5, 6, 1, 3, 3, 8, 4, 3, 3,
- 6, 5, 1, 3, 9, 2, 3, 3, 3, 6, 9, 4, 3, 5, 4, 9,
- 2, 7, 3, 9, 5, 4, 5, 6, 1, 3, 6, 6, 18, 2, 3, 4,
- 2, 3, 1, 2, 9, 6, 3, 4, 3, 3, 2, 9, 1, 2, 1, 12,
- 2, 3, 3, 7, 15, 3, 2, 3, 6, 3, 10, 2, 4, 2, 4, 3,
- 3, 2, 15, 1, 5, 6, 4, 5, 4, 12, 3, 6, 2, 7, 2, 3,
- 1, 14, 7, 8, 1, 6, 3, 2, 10, 5, 3, 3, 3, 4, 5, 6,
- 7, 5, 7, 8, 7, 5, 7, 3, 8, 3, 4, 3, 8, 10, 5, 1,
- 3, 2, 1, 2, 6, 1, 5, 1, 3, 11, 3, 1, 2, 9, 4, 5,
- 4, 11, 1, 5, 9, 7, 2, 1, 2, 9, 1, 2, 3, 4, 5, 1,
- 15, 2, 15, 1, 5, 1, 9, 2, 9, 3, 7, 5, 1, 2, 10, 18,
- 3, 2, 3, 7, 2, 10, 5, 7, 11, 3, 1, 15, 6, 5, 9, 1,
- 2, 7, 3, 11, 9, 1, 6, 3, 2, 4, 2, 4, 3, 5, 1, 6,
- 9, 5, 7, 8, 7, 2, 3, 3, 1, 3, 2, 1, 14, 1, 14, 3,
- 1, 2, 3, 7, 2, 6, 7, 8, 7, 2, 3, 4, 3, 2, 3, 3,
- 3, 4, 2, 4, 2, 7, 8, 4, 3, 2, 6, 4, 8, 1, 5, 4,
- 2, 3, 13, 3, 5, 4, 2, 3, 6, 7, 15, 2, 7, 11, 4, 6,
- 2, 3, 4, 5, 3, 7, 5, 3, 1, 5, 6, 6, 7, 3, 3, 9,
- 5, 3, 4, 9, 2, 3, 1, 3, 5, 1, 5, 4, 3, 3, 5, 1,
- 9, 5, 1, 6, 2, 3, 4, 5, 6, 7, 6, 2, 4, 5, 3, 3,
- 10, 2, 7, 8, 7, 5, 4, 5, 6, 1, 9, 3, 6, 5, 6, 1,
- 2, 1, 6, 3, 2, 4, 2, 22, 2, 1, 2, 1, 5, 6, 3, 3,
- 7, 2, 3, 3, 3, 4, 3, 18, 9, 2, 3, 1, 6, 3, 3, 3,
- 2, 7, 11, 6, 1, 9, 5, 3, 13, 12, 2, 1, 2, 1, 2, 7,
- 2, 3, 3, 4, 8, 6, 1, 21, 2, 1, 2, 12, 3, 3, 1, 9,
- 2, 7, 3, 14, 9, 7, 3, 5, 6, 1, 3, 6, 15, 3, 2, 3,
- 3, 7, 2, 1, 12, 2, 3, 3, 13, 5, 9, 3, 4, 3, 3, 15,
- 2, 6, 6, 1, 8, 1, 3, 2, 6, 9, 1, 3, 2, 13, 6, 3,
- 6, 2, 12, 12, 6, 3, 1, 6, 14, 4, 2, 3, 6, 1, 9, 3,
- 2, 3, 3, 10, 8, 1, 3, 3, 9, 5, 3, 1, 2, 4, 3, 3,
- 12, 8, 3, 4, 5, 3, 7, 11, 4, 8, 3, 1, 6, 2, 1, 11,
- 4, 9, 17, 1, 3, 9, 2, 3, 3, 4, 5, 4, 9, 3, 2, 1,
- 2, 4, 8, 1, 6, 6, 3, 9, 2, 3, 3, 3, 1, 3, 6, 5,
- 10, 6, 9, 2, 3, 1, 8, 1, 5, 7, 2, 15, 1, 5, 6, 1,
- 12, 3, 8, 4, 5, 1, 6, 11, 3, 1, 8, 10, 5, 1, 6, 6,
- 9, 5, 6, 3, 1, 5, 1, 3, 5, 9, 1, 6, 3, 2, 3, 1,
- 12, 14, 1, 2, 1, 5, 1, 8, 6, 4, 11, 1, 3, 2, 1, 5,
- 3, 10, 6, 5, 4, 6, 3, 3, 3, 2, 9, 1, 2, 6, 9, 1,
- 6, 3, 2, 1, 8, 6, 6, 7, 2, 4, 9, 2, 6, 7, 3, 3,
- 2, 4, 3, 2, 10, 6, 5, 7, 2, 1, 8, 1, 6, 15, 2, 3,
- 12, 10, 12, 5, 4, 6, 5, 6, 3, 6, 6, 3, 4, 8, 7, 3,
- 2, 3, 18, 10, 5, 15, 6, 1, 2, 1, 14, 6, 7, 3, 11, 4,
- 2, 9, 3, 7, 9, 2, 3, 1, 3, 17, 9, 1, 8, 3, 9, 1,
- 12, 2, 1, 3, 6, 3, 6, 5, 4, 3, 8, 6, 4, 5, 7, 20,
- 3, 1, 3, 2, 6, 7, 2, 1, 2, 1, 2, 4, 3, 5, 3, 3,
- 1, 3, 3, 3, 6, 3, 12, 5, 1, 5, 3, 6, 3, 3, 7, 3,
- 3, 26, 10, 3, 5, 1, 5, 4, 5, 6, 6, 1, 3, 2, 7, 8,
- 4, 6, 3, 11, 1, 5, 4, 3, 11, 1, 11, 3, 4, 5, 6, 6,
- 1, 5, 3, 6, 1, 2, 7, 5, 1, 3, 9, 2, 6, 4, 9, 6,
- 3, 3, 2, 3, 3, 7, 2, 1, 6, 6, 2, 3, 9, 9, 6, 1,
- 8, 6, 4, 9, 5, 13, 2, 3, 4, 3, 3, 2, 1, 5, 10, 2,
- 3, 4, 2, 10, 5, 1, 17, 1, 2, 12, 1, 6, 6, 5, 3, 1,
- 6, 15, 3, 6, 8, 6, 1, 11, 9, 6, 7, 5, 1, 6, 6, 2,
- 1, 2, 3, 6, 1, 8, 9, 1, 20, 4, 8, 3, 4, 5, 1, 2,
- 9, 4, 5, 4, 6, 2, 9, 1, 9, 5, 1, 2, 1, 2, 4, 14,
- 1, 3, 11, 6, 3, 7, 9, 2, 3, 4, 3, 3, 5, 4, 2, 1,
- 9, 5, 3, 10, 11, 4, 3, 15, 2, 1, 2, 9, 3, 15, 1, 2,
- 4, 3, 2, 3, 6, 7, 17, 7, 3, 2, 1, 3, 2, 7, 2, 1,
- 3, 14, 1, 2, 3, 4, 5, 1, 5, 1, 5, 1, 2, 15, 1, 6,
- 6, 5, 9, 6, 7, 5, 1, 6, 3, 5, 3, 7, 6, 2, 7, 2,
- 9, 1, 5, 4, 2, 4, 5, 6, 9, 9, 4, 3, 9, 8, 7, 3,
- 3, 5, 7, 2, 3, 1, 6, 6, 2, 3, 3, 6, 1, 8, 1, 6,
- 3, 2, 7, 3, 2, 1, 6, 9, 2, 18, 9, 6, 6, 1, 2, 1,
- 2, 4, 6, 2, 18, 3, 9, 1, 6, 5, 3, 6, 12, 4, 3, 3,
- 8, 6, 1, 9, 5, 10, 5, 1, 3, 9, 2, 1, 20, 3, 1, 8,
- 1, 2, 4, 9, 5, 6, 3, 1, 5, 4, 2, 3, 6, 1, 5, 9,
- 4, 3, 2, 10, 2, 3, 18, 3, 1, 5, 3, 12, 3, 7, 8, 3,
- 9, 1, 5, 10, 5, 4, 3, 2, 3, 1, 5, 1, 6, 2, 1, 2,
- 4, 5, 3, 6, 9, 7, 6, 8, 4, 3, 8, 4, 2, 1, 3, 9,
- 12, 9, 5, 6, 1, 2, 7, 5, 3, 3, 3, 9, 6, 1, 14, 9,
- 7, 8, 6, 7, 12, 6, 11, 3, 1, 5, 4, 2, 1, 2, 7, 6,
- 3, 2, 3, 7, 2, 1, 2, 15, 3, 1, 3, 5, 1, 15, 11, 1,
- 2, 3, 4, 3, 3, 8, 6, 6, 3, 4, 2, 1, 12, 6, 2, 3,
- 4, 3, 3, 5, 1, 3, 6, 14, 7, 3, 2, 6, 4, 3, 6, 2,
- 3, 7, 3, 6, 5, 3, 3, 4, 3, 3, 2, 1, 2, 4, 6, 2,
- 7, 9, 5, 1, 8, 3, 10, 3, 5, 4, 2, 15, 18, 6, 4, 11,
- 6, 1, 3, 6, 8, 3, 3, 1, 9, 2, 13, 2, 4, 9, 5, 4,
- 5, 3, 7, 2, 10, 11, 9, 6, 4, 14, 6, 3, 3, 4, 3, 6,
- 12, 8, 7, 2, 7, 6, 3, 5, 6, 10, 3, 2, 4, 9, 6, 9,
- 5, 1, 2, 10, 5, 7, 2, 3, 1, 5, 12, 9, 1, 2, 10, 8,
- 7, 5, 7, 3, 2, 3, 10, 3, 5, 3, 1, 6, 3, 15, 5, 4,
- 3, 2, 3, 4, 20, 1, 2, 1, 6, 9, 2, 3, 4, 5, 3, 9,
- 9, 1, 6, 8, 4, 3, 2, 3, 3, 1, 26, 7, 2, 10, 8, 1,
- 2, 3, 6, 1, 3, 6, 6, 3, 2, 7, 5, 3, 3, 7, 5, 7,
- 8, 4, 3, 6, 2, 4, 11, 3, 1, 9, 11, 3, 1, 9, 3, 8,
- 7, 5, 3, 6, 1, 3, 2, 4, 9, 6, 8, 1, 2, 7, 2, 4,
- 6, 6, 15, 8, 4, 2, 1, 3, 11, 6, 4, 5, 3, 3, 3, 7,
- 3, 9, 5, 6, 1, 5, 1, 2, 13, 2, 6, 4, 2, 9, 4, 5,
- 7, 8, 3, 3, 4, 5, 3, 4, 3, 6, 5, 10, 5, 4, 2, 6,
- 13, 9, 2, 6, 9, 3, 15, 3, 4, 3, 11, 6, 1, 2, 3, 3,
- 1, 5, 1, 2, 3, 3, 1, 3, 11, 9, 3, 9, 6, 4, 6, 3,
- 5, 6, 1, 8, 1, 5, 1, 5, 9, 3, 10, 2, 1, 3, 11, 3,
- 3, 9, 3, 7, 6, 8, 1, 3, 3, 2, 7, 6, 2, 1, 9, 8,
- 18, 6, 3, 7, 14, 1, 6, 3, 6, 3, 2, 1, 8, 15, 4, 12,
- 3, 15, 5, 1, 9, 2, 3, 6, 4, 11, 1, 3, 11, 9, 1, 5,
- 1, 5, 15, 1, 14, 3, 7, 8, 3, 10, 8, 1, 3, 2, 16, 2,
- 1, 2, 3, 1, 6, 2, 3, 3, 6, 1, 3, 2, 3, 4, 3, 2,
- 10, 2, 16, 5, 4, 8, 1, 11, 1, 2, 3, 4, 3, 8, 7, 2,
- 9, 4, 2, 10, 3, 6, 6, 3, 5, 1, 5, 1, 6, 14, 6, 9,
- 1, 9, 5, 4, 5, 24, 1, 2, 3, 4, 5, 1, 5, 15, 1, 18,
- 3, 5, 3, 1, 9, 2, 3, 4, 8, 7, 8, 3, 7, 2, 10, 2,
- 3, 1, 5, 6, 1, 3, 6, 3, 3, 2, 6, 1, 3, 2, 6, 3,
- 4, 2, 1, 3, 9, 5, 3, 4, 6, 3, 11, 1, 3, 6, 9, 2,
- 7, 3, 2, 10, 3, 8, 4, 2, 4, 11, 4, 6, 3, 3, 8, 6,
- 9, 15, 4, 2, 1, 2, 3, 13, 2, 7, 12, 11, 3, 1, 3, 5,
- 3, 7, 3, 3, 6, 5, 3, 1, 6, 5, 6, 4, 9, 9, 5, 3,
- 4, 8, 3, 3, 4, 8, 10, 2, 1, 5, 1, 5, 6, 3, 4, 3,
- 5, 10, 5, 9, 13, 2, 3, 15, 1, 2, 4, 3, 6, 6, 9, 2,
- 4, 11, 3, 1, 6, 17, 3, 9, 6, 3, 1, 14, 7, 8, 7, 2,
- 7, 6, 2, 3, 3, 1, 18, 2, 3, 10, 6, 12, 3, 11, 1, 8,
- 9, 6, 6, 9, 1, 3, 3, 3, 2, 3, 7, 2, 1, 11, 4, 6,
- 3, 5, 3, 4, 6, 9, 6, 3, 5, 1, 11, 7, 3, 3, 2, 9,
- 3, 10, 11, 1, 6, 12, 2, 9, 9, 1, 11, 1, 2, 6, 4, 6,
- 5, 7, 2, 1, 9, 8, 19, 3, 3, 3, 6, 5, 3, 6, 4, 3,
- 2, 3, 7, 15, 3, 5, 4, 11, 3, 4, 6, 5, 1, 5, 1, 3,
- 5, 1, 5, 6, 9, 10, 3, 2, 4, 11, 3, 3, 15, 3, 7, 3,
- 6, 6, 3, 5, 1, 5, 15, 1, 8, 4, 2, 1, 3, 9, 2, 1,
- 3, 2, 13, 2, 4, 3, 5, 1, 2, 3, 4, 2, 3, 15, 6, 1,
- 3, 3, 2, 10, 11, 4, 2, 1, 2, 36, 4, 2, 4, 11, 1, 2,
- 7, 5, 1, 2, 10, 3, 5, 9, 3, 10, 8, 3, 4, 3, 2, 10,
- 6, 11, 1, 2, 1, 6, 5, 9, 1, 11, 3, 9, 15, 1, 5, 7,
- 5, 4, 8, 25, 3, 5, 4, 5, 6, 3, 9, 1, 11, 3, 1, 2,
- 3, 4, 3, 3, 5, 9, 1, 11, 1, 8, 7, 5, 3, 1, 6, 5,
- 10, 2, 7, 3, 2, 18, 1, 2, 3, 6, 1, 2, 7, 6, 3, 2,
- 3, 1, 3, 2, 10, 5, 1, 5, 3, 6, 1, 12, 6, 6, 3, 3,
- 2, 12, 1, 2, 12, 1, 3, 2, 3, 4, 8, 3, 1, 5, 6, 7,
- 3, 17, 3, 7, 3, 2, 1, 15, 11, 4, 2, 3, 4, 2, 1, 14,
- 1, 3, 2, 13, 9, 11, 1, 3, 8, 3, 1, 8, 6, 1, 6, 2,
- 3, 3, 7, 5, 3, 4, 6, 2, 9, 1, 5, 4, 8, 3, 3, 15,
- 1, 5, 9, 1, 5, 4, 2, 4, 6, 12, 20, 1, 6, 5, 3, 6,
- 1, 6, 2, 1, 2, 3, 9, 7, 6, 3, 2, 7, 15, 2, 4, 5,
- 4, 3, 5, 9, 4, 2, 7, 8, 3, 4, 2, 3, 1, 5, 1, 6,
- 2, 1, 2, 3, 4, 2, 3, 16, 12, 5, 4, 9, 5, 1, 3, 5,
- 1, 2, 9, 3, 6, 1, 8, 1, 11, 3, 3, 4, 9, 2, 9, 6,
- 4, 3, 2, 10, 3, 15, 11, 6, 1, 3, 9, 2, 31, 2, 1, 6,
- 3, 5, 1, 6, 6, 14, 1, 2, 7, 11, 3, 1, 3, 3, 5, 7,
- 2, 1, 5, 3, 4, 5, 7, 5, 3, 1, 6, 11, 9, 4, 5, 9,
- 6, 1, 6, 2, 6, 1, 5, 1, 3, 9, 3, 3, 17, 3, 1, 6,
- 2, 3, 9, 9, 1, 8, 3, 3, 4, 3, 5, 9, 4, 5, 4, 5,
- 1, 2, 9, 13, 6, 11, 1, 2, 1, 11, 3, 3, 7, 8, 3, 10,
- 5, 6, 1, 9, 21, 2, 12, 1, 3, 5, 6, 1, 3, 5, 4, 2,
- 3, 6, 6, 4, 2, 3, 6, 15, 10, 3, 12, 3, 5, 6, 1, 5,
- 10, 3, 3, 2, 6, 7, 5, 9, 6, 4, 3, 6, 2, 7, 5, 1,
- 6, 15, 8, 1, 6, 3, 2, 1, 2, 3, 13, 2, 9, 1, 2, 3,
- 7, 27, 3, 26, 1, 8, 3, 3, 6, 13, 2, 1, 3, 11, 3, 1,
- 6, 6, 3, 5, 9, 1, 6, 6, 5, 9, 6, 3, 4, 3, 5, 3,
- 4, 2, 1, 2, 10, 12, 3, 3, 5, 7, 5, 1, 11, 3, 7, 5,
- 13, 2, 9, 4, 6, 6, 5, 6, 3, 4, 8, 3, 4, 3, 3, 11,
- 1, 5, 10, 5, 3, 22, 9, 3, 5, 1, 2, 3, 7, 2, 13, 2,
- 1, 6, 5, 4, 2, 4, 6, 2, 6, 4, 11, 4, 3, 5, 9, 3,
- 3, 4, 3, 6, 2, 4, 9, 5, 6, 3, 6, 1, 3, 2, 1, 8,
- 6, 6, 7, 5, 7, 3, 5, 6, 1, 6, 3, 2, 3, 1, 6, 2,
- 13, 3, 9, 3, 5, 3, 1, 9, 5, 4, 2, 13, 5, 10, 3, 8,
- 10, 6, 5, 4, 5, 1, 8, 3, 10, 5, 10, 2, 15, 1, 2, 4,
- 8, 1, 9, 2, 1, 3, 5, 9, 6, 7, 9, 3, 8, 10, 3, 2,
- 4, 3, 2, 3, 6, 4, 5, 1, 6, 3, 2, 1, 3, 5, 1, 8,
- 6, 7, 5, 3, 4, 3, 14, 1, 3, 9, 15, 17, 1, 8, 6, 1,
- 9, 8, 3, 4, 5, 4, 5, 4, 5, 22, 3, 3, 2, 10, 2, 1,
- 2, 7, 14, 4, 3, 8, 7, 15, 3, 15, 2, 7, 5, 3, 3, 4,
- 2, 9, 6, 3, 1, 11, 6, 4, 3, 6, 2, 7, 2, 3, 1, 2,
- 9, 10, 3, 8, 19, 8, 1, 2, 3, 1, 20, 21, 7, 2, 3, 1,
- 12, 5, 3, 1, 9, 5, 6, 1, 8, 1, 3, 8, 3, 4, 2, 1,
- 5, 3, 4, 5, 1, 9, 8, 4, 6, 9, 6, 3, 6, 5, 3, 3
+ * If a halved differential value exceeds 0xf (and as such does not fit into 4
+ * bits), a zero is placed in the array followed by the value literal (no
+ * halving).
+ *
+ * If out of two consecutive differencials only the second one exceeds 0xf,
+ * the first one still is put into the array in its own byte prepended by a
+ * zero.
+ */
+const uint8_t PRIME_DELTAS[] = {
+ 1, 18, 18, 18, 49, 50, 18, 51, 19, 33, 50, 52,
+ 33, 33, 39, 35, 21, 19, 50, 51, 21, 18, 22, 98,
+ 18, 49, 83, 51, 19, 33, 87, 33, 39, 53, 18, 52,
+ 51, 35, 66, 69, 21, 19, 35, 66, 18, 100, 36, 35,
+ 97, 147, 83, 49, 53, 51, 19, 50, 22, 81, 35, 49,
+ 98, 52, 84, 84, 51, 36, 50, 66, 117, 97, 81, 33,
+ 87, 33, 39, 33, 42, 36, 84, 35, 55, 35, 52, 54,
+ 35, 21, 19, 81, 81, 57, 33, 35, 52, 51, 177, 84,
+ 83, 52, 98, 51, 19, 101, 145, 35, 19, 33, 38, 19,
+ 0, 34, 51, 73, 87, 33, 35, 66, 19, 101, 18, 18,
+ 54, 100, 99, 35, 66, 66, 114, 49, 35, 19, 90, 50,
+ 28, 33, 86, 21, 67, 51, 147, 33, 101, 100, 135, 50,
+ 18, 21, 99, 57, 24, 27, 52, 50, 18, 67, 81, 87,
+ 83, 97, 33, 86, 24, 19, 33, 84, 156, 35, 72, 18,
+ 72, 18, 67, 50, 97, 179, 19, 35, 115, 33, 50, 54,
+ 51, 114, 54, 67, 45, 149, 66, 49, 59, 97, 132, 38,
+ 117, 18, 67, 50, 18, 52, 33, 53, 21, 66, 117, 97,
+ 50, 24, 114, 52, 50, 148, 83, 52, 86, 114, 51, 30,
+ 21, 66, 114, 70, 54, 35, 165, 24, 210, 22, 50, 99,
+ 66, 75, 18, 22, 225, 51, 50, 49, 98, 97, 81, 129,
+ 131, 168, 66, 18, 27, 70, 53, 18, 49, 53, 22, 81,
+ 87, 50, 52, 51, 134, 18, 115, 36, 84, 51, 179, 21,
+ 114, 57, 21, 114, 21, 114, 73, 35, 18, 49, 98, 171,
+ 97, 35, 49, 59, 19, 131, 97, 54, 129, 35, 114, 25,
+ 197, 49, 81, 81, 83, 21, 21, 52, 245, 21, 67, 89,
+ 54, 97, 147, 35, 57, 21, 115, 33, 44, 22, 56, 67,
+ 57, 129, 35, 19, 53, 54, 105, 19, 41, 76, 33, 35,
+ 22, 39, 245, 54, 115, 86, 18, 52, 53, 18, 115, 50,
+ 49, 81, 134, 73, 35, 97, 51, 62, 55, 36, 84, 105,
+ 33, 44, 99, 24, 51, 117, 114, 243, 51, 67, 33, 99,
+ 33, 59, 49, 41, 18, 97, 50, 211, 50, 69, 0, 32,
+ 129, 50, 18, 21, 115, 36, 83, 162, 19, 242, 69, 51,
+ 67, 98, 49, 50, 49, 81, 131, 162, 103, 227, 162, 148,
+ 50, 55, 51, 81, 86, 69, 21, 70, 92, 18, 67, 36,
+ 149, 51, 19, 86, 21, 51, 52, 53, 49, 51, 53, 76,
+ 59, 25, 36, 95, 73, 33, 83, 19, 41, 70, 152, 49,
+ 99, 81, 81, 53, 114, 193, 129, 81, 90, 33, 36, 131,
+ 49, 104, 66, 63, 21, 19, 35, 52, 50, 99, 70, 39,
+ 101, 195, 99, 27, 73, 83, 114, 19, 84, 50, 63, 117,
+ 22, 81, 129, 156, 147, 137, 49, 146, 49, 84, 83, 52,
+ 35, 21, 22, 35, 49, 98, 121, 35, 162, 67, 36, 39,
+ 50, 118, 33, 242, 195, 54, 103, 50, 18, 147, 100, 50,
+ 97, 111, 129, 59, 115, 86, 49, 36, 83, 60, 115, 36,
+ 105, 81, 81, 35, 163, 39, 33, 39, 54, 197, 52, 81,
+ 242, 49, 98, 115, 0, 34, 100, 53, 18, 165, 72, 21,
+ 114, 22, 56, 52, 36, 35, 67, 54, 50, 51, 73, 42,
+ 38, 21, 49, 86, 18, 163, 243, 36, 86, 49, 225, 50,
+ 24, 97, 53, 76, 99, 147, 39, 50, 100, 54, 35, 99,
+ 97, 138, 33, 89, 66, 114, 19, 179, 115, 53, 49, 81,
+ 33, 177, 35, 54, 55, 86, 52, 0, 4, 0, 36, 118,
+ 50, 49, 99, 104, 21, 75, 22, 50, 57, 22, 50, 100,
+ 54, 35, 99, 22, 98, 115, 131, 21, 73, 0, 6, 0,
+ 34, 30, 27, 49, 86, 19, 36, 179, 21, 66, 52, 38,
+ 150, 162, 51, 66, 24, 97, 84, 81, 35, 118, 180, 225,
+ 42, 33, 39, 86, 22, 129, 228, 180, 35, 55, 36, 99,
+ 50, 162, 145, 99, 35, 121, 84, 0, 10, 0, 32, 53,
+ 51, 19, 131, 22, 62, 21, 72, 52, 53, 202, 81, 81,
+ 98, 58, 33, 105, 81, 81, 42, 141, 36, 50, 99, 70,
+ 99, 36, 177, 135, 83, 102, 115, 42, 38, 49, 51, 132,
+ 177, 228, 50, 162, 108, 162, 69, 24, 22, 0, 12, 0,
+ 34, 18, 54, 51, 67, 33, 60, 42, 83, 55, 35, 49,
+ 99, 81, 83, 162, 210, 19, 177, 194, 49, 35, 195, 66,
+ 0, 2, 0, 34, 52, 134, 21, 21, 52, 36, 107, 55,
+ 45, 33, 101, 66, 70, 39, 56, 52, 35, 52, 53, 97,
+ 51, 132, 51, 101, 19, 146, 51, 54, 148, 53, 73, 39,
+ 57, 84, 86, 19, 102, 0, 36, 35, 66, 49, 41, 99,
+ 67, 50, 145, 33, 194, 51, 127, 50, 54, 58, 36, 36,
+ 51, 47, 21, 100, 84, 195, 98, 114, 49, 231, 129, 99,
+ 42, 83, 51, 69, 103, 87, 135, 87, 56, 52, 56, 165,
+ 19, 33, 38, 21, 19, 179, 18, 148, 84, 177, 89, 114,
+ 18, 145, 35, 69, 31, 47, 21, 25, 41, 55, 81, 42,
+ 0, 36, 50, 55, 42, 87, 179, 31, 101, 145, 39, 59,
+ 145, 99, 36, 36, 53, 22, 149, 120, 114, 51, 19, 33,
+ 225, 227, 18, 55, 38, 120, 114, 52, 50, 51, 52, 36,
+ 39, 132, 50, 100, 129, 84, 35, 211, 84, 35, 103, 242,
+ 123, 70, 35, 69, 55, 83, 21, 102, 115, 57, 83, 73,
+ 35, 19, 81, 84, 51, 81, 149, 22, 35, 69, 103, 98,
+ 69, 51, 162, 120, 117, 69, 97, 147, 101, 97, 33, 99,
+ 36, 0, 4, 0, 44, 33, 33, 86, 51, 114, 51, 52,
+ 0, 6, 0, 36, 146, 49, 99, 51, 39, 182, 25, 83,
+ 220, 33, 33, 39, 35, 52, 134, 0, 2, 0, 42, 33,
+ 44, 51, 25, 39, 62, 151, 53, 97, 54, 243, 35, 55,
+ 33, 194, 51, 213, 147, 67, 63, 38, 97, 129, 50, 105,
+ 19, 45, 99, 98, 204, 99, 22, 228, 35, 97, 147, 35,
+ 58, 129, 51, 149, 49, 36, 51, 200, 52, 83, 123, 72,
+ 49, 98, 27, 73, 0, 34, 19, 146, 51, 69, 73, 50,
+ 18, 72, 22, 99, 146, 51, 49, 54, 90, 105, 35, 24,
+ 21, 114, 241, 86, 28, 56, 69, 22, 179, 24, 165, 22,
+ 105, 86, 49, 81, 53, 145, 99, 35, 28, 225, 33, 81,
+ 134, 75, 19, 33, 83, 166, 84, 99, 51, 41, 18, 105,
+ 22, 50, 24, 102, 114, 73, 38, 115, 50, 67, 42, 101,
+ 114, 24, 22, 242, 60, 172, 84, 101, 99, 102, 52, 135,
+ 50, 0, 6, 0, 36, 165, 246, 18, 30, 103, 59, 66,
+ 147, 121, 35, 19, 0, 34, 145, 131, 145, 194, 19, 99,
+ 101, 67, 134, 69, 0, 14, 0, 40, 49, 50, 103, 33,
+ 33, 36, 53, 51, 19, 51, 99, 197, 21, 54, 51, 115,
+ 0, 6, 0, 52, 163, 81, 84, 86, 97, 50, 120, 70,
+ 59, 21, 67, 177, 179, 69, 102, 21, 54, 18, 117, 19,
+ 146, 100, 150, 51, 35, 55, 33, 102, 35, 153, 97, 134,
+ 73, 93, 35, 67, 50, 21, 162, 52, 42, 81, 0, 34,
+ 18, 193, 102, 83, 22, 243, 104, 97, 185, 103, 81, 102,
+ 33, 35, 97, 137, 0, 2, 0, 40, 72, 52, 81, 41,
+ 69, 70, 41, 25, 81, 33, 36, 225, 59, 99, 121, 35,
+ 67, 53, 66, 25, 83, 171, 67, 242, 18, 147, 241, 36,
+ 50, 54, 0, 14, 0, 34, 115, 33, 50, 114, 19, 225,
+ 35, 69, 21, 21, 18, 241, 102, 89, 103, 81, 99, 83,
+ 118, 39, 41, 21, 66, 69, 105, 148, 57, 135, 51, 87,
+ 35, 22, 98, 51, 97, 129, 99, 39, 50, 22, 146, 0,
+ 36, 150, 97, 33, 36, 98, 0, 36, 57, 22, 83, 108,
+ 67, 56, 97, 149, 165, 19, 146, 0, 2, 0, 40, 49,
+ 129, 36, 149, 99, 21, 66, 54, 21, 148, 50, 162, 0,
+ 6, 0, 36, 49, 83, 195, 120, 57, 21, 165, 67, 35,
+ 21, 22, 33, 36, 83, 105, 118, 132, 56, 66, 19, 156,
+ 149, 97, 39, 83, 51, 150, 30, 151, 134, 124, 107, 49,
+ 84, 33, 39, 99, 35, 114, 18, 243, 19, 81, 251, 18,
+ 52, 51, 134, 99, 66, 28, 98, 52, 51, 81, 54, 231,
+ 50, 100, 54, 35, 115, 101, 51, 67, 50, 18, 70, 39,
+ 149, 24, 58, 53, 66, 0, 30, 0, 36, 100, 182, 19,
+ 104, 51, 25, 45, 36, 149, 69, 55, 42, 185, 100, 230,
+ 51, 67, 108, 135, 39, 99, 86, 163, 36, 150, 149, 18,
+ 165, 114, 49, 92, 145, 42, 135, 87, 50, 58, 53, 49,
+ 99, 245, 67, 35, 0, 8, 0, 40, 18, 22, 146, 52,
+ 83, 153, 22, 132, 50, 51, 0, 2, 0, 52, 114, 168,
+ 18, 54, 19, 102, 50, 117, 51, 117, 120, 67, 98, 75,
+ 49, 155, 49, 147, 135, 83, 97, 50, 73, 104, 18, 114,
+ 70, 111, 132, 33, 59, 100, 83, 51, 115, 149, 97, 81,
+ 45, 38, 66, 148, 87, 131, 52, 83, 67, 101, 165, 66,
+ 109, 146, 105, 63, 52, 59, 97, 35, 49, 81, 35, 49,
+ 59, 147, 150, 70, 53, 97, 129, 81, 89, 58, 33, 59,
+ 51, 147, 118, 129, 51, 39, 98, 25, 0, 16, 0, 36,
+ 99, 126, 22, 54, 50, 24, 244, 195, 245, 25, 35, 100,
+ 177, 59, 145, 81, 95, 30, 55, 131, 168, 19, 0, 4,
+ 0, 32, 33, 35, 22, 35, 54, 19, 35, 67, 42, 0,
+ 4, 0, 32, 84, 129, 177, 35, 67, 135, 41, 66, 163,
+ 102, 53, 21, 22, 230, 145, 149, 69, 0, 48, 18, 52,
+ 81, 95, 0, 2, 0, 36, 53, 49, 146, 52, 135, 131,
+ 114, 162, 49, 86, 19, 99, 50, 97, 50, 99, 66, 19,
+ 149, 52, 99, 177, 54, 146, 115, 42, 56, 66, 75, 70,
+ 51, 134, 159, 66, 18, 61, 39, 203, 49, 53, 55, 51,
+ 101, 49, 101, 100, 153, 83, 72, 51, 72, 162, 21, 21,
+ 99, 67, 90, 89, 210, 63, 18, 67, 102, 146, 75, 49,
+ 0, 12, 0, 34, 57, 99, 30, 120, 114, 118, 35, 49,
+ 0, 36, 35, 166, 195, 177, 137, 102, 145, 51, 50, 55,
+ 33, 180, 99, 83, 70, 150, 53, 27, 115, 50, 147, 171,
+ 22, 194, 153, 27, 18, 100, 101, 114, 25, 0, 16, 0,
+ 38, 51, 54, 83, 100, 50, 55, 243, 84, 179, 70, 81,
+ 81, 53, 21, 105, 163, 36, 179, 63, 55, 54, 99, 81,
+ 95, 24, 66, 19, 146, 19, 45, 36, 53, 18, 52, 35,
+ 246, 19, 50, 171, 66, 18, 0, 72, 66, 75, 18, 117,
+ 18, 163, 89, 58, 131, 67, 42, 107, 18, 22, 89, 27,
+ 57, 241, 87, 84, 0, 16, 0, 50, 53, 69, 99, 145,
+ 179, 18, 52, 51, 89, 27, 24, 117, 49, 101, 162, 115,
+ 0, 4, 0, 36, 18, 54, 18, 118, 50, 49, 50, 165,
+ 21, 54, 28, 102, 51, 44, 18, 193, 50, 52, 131, 21,
+ 103, 0, 6, 0, 34, 55, 50, 31, 180, 35, 66, 30,
+ 19, 45, 155, 19, 131, 24, 97, 98, 51, 117, 52, 98,
+ 145, 84, 131, 63, 21, 145, 84, 36, 108, 0, 40, 22,
+ 83, 97, 98, 18, 57, 118, 50, 127, 36, 84, 53, 148,
+ 39, 131, 66, 49, 81, 98, 18, 52, 35, 0, 32, 197,
+ 73, 81, 53, 18, 147, 97, 129, 179, 52, 146, 150, 67,
+ 42, 63, 182, 19, 146, 0, 62, 33, 99, 81, 102, 225,
+ 39, 179, 19, 53, 114, 21, 52, 87, 83, 22, 185, 69,
+ 150, 22, 38, 21, 19, 147, 0, 6, 0, 34, 49, 98,
+ 57, 145, 131, 52, 53, 148, 84, 81, 41, 214, 177, 33,
+ 179, 55, 131, 165, 97, 0, 18, 0, 42, 44, 19, 86,
+ 19, 84, 35, 102, 66, 54, 250, 60, 53, 97, 90, 51,
+ 38, 117, 150, 67, 98, 117, 22, 248, 22, 50, 18, 61,
+ 41, 18, 55, 0, 54, 0, 6, 0, 52, 24, 51, 109,
+ 33, 59, 49, 102, 53, 145, 102, 89, 99, 67, 83, 66,
+ 18, 172, 51, 87, 81, 179, 117, 210, 148, 102, 86, 52,
+ 131, 67, 59, 21, 165, 0, 6, 0, 44, 147, 81, 35,
+ 114, 210, 22, 84, 36, 98, 100, 180, 53, 147, 52, 54,
+ 36, 149, 99, 97, 50, 24, 102, 117, 115, 86, 22, 50,
+ 49, 98, 211, 147, 83, 25, 84, 45, 90, 56, 166, 84,
+ 81, 131, 165, 162, 241, 36, 129, 146, 19, 89, 103, 147,
+ 138, 50, 67, 35, 100, 81, 99, 33, 53, 24, 103, 83,
+ 67, 225, 57, 0, 30, 0, 34, 24, 97, 152, 52, 84,
+ 84, 0, 10, 0, 44, 51, 42, 33, 39, 228, 56, 127,
+ 63, 39, 83, 52, 41, 99, 27, 100, 54, 39, 35, 18,
+ 154, 56, 0, 38, 129, 35, 0, 2, 0, 40, 0, 42,
+ 114, 49, 197, 49, 149, 97, 129, 56, 52, 33, 83, 69,
+ 25, 132, 105, 99, 101, 51,
};
static uint32_t bn_mod_word16(const struct LITE_BIGNUM *p, uint16_t word)
@@ -1253,18 +1189,34 @@ int DCRYPTO_bn_generate_prime(struct LITE_BIGNUM *p)
/* Save on trial division by marking known composites. */
bn_init(&composites, composites_buf, sizeof(composites_buf));
- for (i = 0; i < sizeof(PRIME_DELTAS) / sizeof(PRIME_DELTAS[0]); i++) {
+ for (i = 0; i < ARRAY_SIZE(PRIME_DELTAS); i++) {
uint16_t rem;
+ uint8_t unpacked_deltas[2];
+ uint8_t packed_deltas = PRIME_DELTAS[i];
+ int k;
+ int m;
+
+ if (packed_deltas) {
+ unpacked_deltas[0] = (packed_deltas >> 4) << 1;
+ unpacked_deltas[1] = (packed_deltas & 0xf) << 1;
+ m = 2;
+ } else {
+ i += 1;
+ unpacked_deltas[0] = PRIME_DELTAS[i];
+ m = 1;
+ }
- prime += (PRIME_DELTAS[i] << 1);
- print_primes(prime);
- rem = bn_mod_word16(p, prime);
- /* Skip marking odd offsets (i.e. even candidates). */
- for (j = (rem == 0) ? 0 : prime - rem;
- j < bn_bits(&composites) << 1;
- j += prime) {
- if ((j & 1) == 0)
- bn_set_bit(&composites, j >> 1);
+ for (k = 0; k < m; k++) {
+ prime += unpacked_deltas[k];
+ print_primes(prime);
+ rem = bn_mod_word16(p, prime);
+ /* Skip marking odd offsets (i.e. even candidates). */
+ for (j = (rem == 0) ? 0 : prime - rem;
+ j < bn_bits(&composites) << 1;
+ j += prime) {
+ if ((j & 1) == 0)
+ bn_set_bit(&composites, j >> 1);
+ }
}
}