ref: 836f7f458e83e630f8554032cc7731c62edde5dd
parent: 9863ee8b03349ab88b5fd2cc0b0e6bc6a4cd9c1a
author: cinap_lenrek <[email protected]>
date: Sun Mar 1 12:35:17 EST 2020
libsec: remove unused code not relevant to drawterm make it easier to sync with 9front libsec by removing unused files from libsec. that way it is more obvious which files need to be merged and we can avoid churn.
--- a/include/libsec.h
+++ b/include/libsec.h
@@ -39,6 +39,9 @@
void aesCFBdecrypt(uchar *p, int len, AESstate *s);
void aesOFBencrypt(uchar *p, int len, AESstate *s);
+void aes_xts_encrypt(AESstate *tweak, AESstate *ecb, uvlong sectorNumber, uchar *input, uchar *output, ulong len);
+void aes_xts_decrypt(AESstate *tweak, AESstate *ecb, uvlong sectorNumber, uchar *input, uchar *output, ulong len);
+
typedef struct AESGCMstate AESGCMstate;
struct AESGCMstate
{
@@ -491,10 +494,6 @@
/* readcert.c */
uchar *readcert(char *filename, int *pcertlen);
PEMChain*readcertchain(char *filename);
-
-/* aes_xts.c */
-void aes_xts_encrypt(AESstate *tweak, AESstate *ecb, uvlong sectorNumber, uchar *input, uchar *output, ulong len);
-void aes_xts_decrypt(AESstate *tweak, AESstate *ecb, uvlong sectorNumber, uchar *input, uchar *output, ulong len);
typedef struct ECpoint{
int inf;
--- a/kern/devssl.c
+++ b/kern/devssl.c
@@ -9,8 +9,6 @@
#include <libsec.h>
-#define NOSPOOKS 1
-
typedef struct OneWay OneWay;
struct OneWay
{
@@ -894,7 +892,6 @@
Hashalg hashtab[] =
{
- { "md4", MD4dlen, md4, },
{ "md5", MD5dlen, md5, },
{ "sha1", SHA1dlen, sha1, },
{ "sha", SHA1dlen, sha1, },
@@ -927,7 +924,6 @@
void (*keyinit)(OneWay*);
};
-#ifdef NOSPOOKS
static
Encalg encrypttab[] =
{
@@ -943,17 +939,6 @@
{ "rc4_40", 1, RC4, initRC4key_40, },
{ 0 }
};
-#else
-static
-Encalg encrypttab[] =
-{
- { "des_40_cbc", 8, DESCBC, initDESkey_40, },
- { "des_40_ecb", 8, DESECB, initDESkey_40, },
- { "rc4", 1, RC4, initRC4key_40, }, /* DEPRECATED -- use rc4_X */
- { "rc4_40", 1, RC4, initRC4key_40, },
- { 0 }
-};
-#endif /* NOSPOOKS */
static int
parseencryptalg(char *p, Dstate *s)
--- a/libsec/Makefile
+++ b/libsec/Makefile
@@ -3,74 +3,19 @@
LIB=libsec.a
OFILES=\
- aes.$O aesni.$O aesCBC.$O aesCFB.$O aesOFB.$O\
- aes_gcm.$O\
- aes_xts.$O\
- blowfish.$O\
- ccpoly.$O\
- chacha.$O chachablock.$O\
- curve25519.$O\
- curve25519_dh.$O\
- decodepem.$O\
- des.$O\
- des3CBC.$O\
- des3ECB.$O\
- desCBC.$O\
- desECB.$O\
- desmodes.$O\
+ aes.$O aesni.$O aesCBC.$O aes_gcm.$O\
+ poly1305.$O chacha.$O chachablock.$O ccpoly.$O\
+ des.$O des3CBC.$O desmodes.$O\
+ ecc.$O jacobian.$O secp256k1.$O secp256r1.$O secp384r1.$O\
+ genrandom.$O fastrand.$O nfastrand.$O prng.$O\
+ hmac.$O hkdf.$O pbkdf2.$O\
+ rsaalloc.$O rsadecrypt.$O rsaencrypt.$O\
dh.$O\
- dsaalloc.$O\
- dsagen.$O\
- dsaprimes.$O\
- dsaprivtopub.$O\
- dsasign.$O\
- dsaverify.$O\
- ecc.$O\
- jacobian.$O\
- egalloc.$O\
- egdecrypt.$O\
- egencrypt.$O\
- eggen.$O\
- egprivtopub.$O\
- egsign.$O\
- egverify.$O\
- fastrand.$O\
- genprime.$O\
- genrandom.$O\
- gensafeprime.$O\
- genstrongprime.$O\
- hkdf.$O\
- hmac.$O\
- md4.$O\
- md5.$O\
- nfastrand.$O\
- pbkdf2.$O\
- poly1305.$O\
- prng.$O\
- probably_prime.$O\
- rc4.$O\
- ripemd.$O\
- rsaalloc.$O\
- rsadecrypt.$O\
- rsaencrypt.$O\
- rsafill.$O\
- rsagen.$O\
- rsaprivtopub.$O\
- salsa.$O\
- scrypt.$O\
- secp256k1.$O\
- secp256r1.$O\
- secp384r1.$O\
- sha1.$O\
- sha2_128.$O\
- sha2_64.$O\
- sha1block.$O\
- sha2block128.$O\
- sha2block64.$O\
- smallprimes.$O\
+ rc4.$O md5.$O\
+ sha1.$O sha2_128.$O sha2_64.$O\
+ sha1block.$O sha2block128.$O sha2block64.$O\
+ tlshand.$O x509.$O\
tsmemcmp.$O\
- tlshand.$O\
- x509.$O
default: $(LIB)
$(LIB): $(OFILES)
--- a/libsec/aesgcmtest.c
+++ /dev/null
@@ -1,314 +1,0 @@
-#include <u.h>
-#include <libc.h>
-#include <mp.h>
-#include <libsec.h>
-
-typedef struct Test Test;
-struct Test
-{
- char *K;
- char *P;
- char *A;
- char *IV;
- char *T;
-};
-
-Test tests[] = {
- { /* Test Case 1 */
- "00000000000000000000000000000000",
- "",
- "",
- "000000000000000000000000",
-
- "58E2FCCEFA7E3061367F1D57A4E7455A"
- },
- { /* Test Case 2 */
- "00000000000000000000000000000000",
- "00000000000000000000000000000000",
- "",
- "000000000000000000000000",
-
- "AB6E47D42CEC13BDF53A67B21257BDDF",
- },
- { /* Test Case 3 */
- "feffe9928665731c6d6a8f9467308308",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b391aafd255",
- "",
- "cafebabefacedbaddecaf888",
-
- "4D5C2AF327CD64A62CF35ABD2BA6FAB4"
- },
- { /* Test Case 4 */
- "feffe9928665731c6d6a8f9467308308",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b39",
- "feedfacedeadbeeffeedfacedeadbeef"
- "abaddad2",
- "cafebabefacedbaddecaf888",
-
- "5BC94FBC3221A5DB94FAE95AE7121A47"
- },
- { /* Test Case 5 */
- "feffe9928665731c6d6a8f9467308308",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b39",
- "feedfacedeadbeeffeedfacedeadbeef"
- "abaddad2",
- "cafebabefacedbad",
-
- "3612D2E79E3B0785561BE14AACA2FCCB"
- },
- { /* Test Case 6 */
- "feffe9928665731c6d6a8f9467308308",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b39",
- "feedfacedeadbeeffeedfacedeadbeef"
- "abaddad2",
- "9313225df88406e555909c5aff5269aa"
- "6a7a9538534f7da1e4c303d2a318a728"
- "c3c0c95156809539fcf0e2429a6b5254"
- "16aedbf5a0de6a57a637b39b",
-
- "619CC5AEFFFE0BFA462AF43C1699D050"
- },
- { /* Test Case 7 */
- "00000000000000000000000000000000"
- "0000000000000000",
- "",
- "",
- "000000000000000000000000",
-
- "CD33B28AC773F74BA00ED1F312572435"
- },
- { /* Test Case 8 */
- "00000000000000000000000000000000"
- "0000000000000000",
- "00000000000000000000000000000000",
- "",
- "000000000000000000000000",
-
- "2FF58D80033927AB8EF4D4587514F0FB"
- },
- { /* Test Case 9 */
- "feffe9928665731c6d6a8f9467308308"
- "feffe9928665731c",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b391aafd255",
- "",
- "cafebabefacedbaddecaf888",
-
- "9924A7C8587336BFB118024DB8674A14"
- },
- { /* Test Case 10 */
- "feffe9928665731c6d6a8f9467308308"
- "feffe9928665731c",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b39",
- "feedfacedeadbeeffeedfacedeadbeef"
- "abaddad2",
- "cafebabefacedbaddecaf888",
-
- "2519498E80F1478F37BA55BD6D27618C"
- },
- { /* Test Case 11 */
- "feffe9928665731c6d6a8f9467308308"
- "feffe9928665731c",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b39",
- "feedfacedeadbeeffeedfacedeadbeef"
- "abaddad2",
- "cafebabefacedbad",
-
- "65DCC57FCF623A24094FCCA40D3533F8"
- },
- { /* Test Case 12 */
- "feffe9928665731c6d6a8f9467308308"
- "feffe9928665731c",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b39",
- "feedfacedeadbeeffeedfacedeadbeef"
- "abaddad2",
- "9313225df88406e555909c5aff5269aa"
- "6a7a9538534f7da1e4c303d2a318a728"
- "c3c0c95156809539fcf0e2429a6b5254"
- "16aedbf5a0de6a57a637b39b",
-
- "DCF566FF291C25BBB8568FC3D376A6D9"
- },
- { /* Test Case 13 */
- "00000000000000000000000000000000"
- "00000000000000000000000000000000",
- "",
- "",
- "000000000000000000000000",
-
- "530F8AFBC74536B9A963B4F1C4CB738B"
- },
- { /* Test Case 14 */
- "00000000000000000000000000000000"
- "00000000000000000000000000000000",
- "00000000000000000000000000000000",
- "",
- "000000000000000000000000",
-
- "D0D1C8A799996BF0265B98B5D48AB919"
- },
- { /* Test Case 15 */
- "feffe9928665731c6d6a8f9467308308"
- "feffe9928665731c6d6a8f9467308308",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b391aafd255",
- "",
- "cafebabefacedbaddecaf888",
-
- "B094DAC5D93471BDEC1A502270E3CC6C"
- },
- { /* Test Case 16 */
- "feffe9928665731c6d6a8f9467308308"
- "feffe9928665731c6d6a8f9467308308",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b39",
- "feedfacedeadbeeffeedfacedeadbeef"
- "abaddad2",
- "cafebabefacedbaddecaf888",
-
- "76FC6ECE0F4E1768CDDF8853BB2D551B"
- },
- { /* Test Case 17 */
- "feffe9928665731c6d6a8f9467308308"
- "feffe9928665731c6d6a8f9467308308",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b39",
- "feedfacedeadbeeffeedfacedeadbeef"
- "abaddad2",
- "cafebabefacedbad",
-
- "3A337DBF46A792C45E454913FE2EA8F2"
- },
- { /* Test Case 18 */
- "feffe9928665731c6d6a8f9467308308"
- "feffe9928665731c6d6a8f9467308308",
- "d9313225f88406e5a55909c5aff5269a"
- "86a7a9531534f7da2e4c303d8a318a72"
- "1c3c0c95956809532fcf0e2449a6b525"
- "b16aedf5aa0de657ba637b39",
- "feedfacedeadbeeffeedfacedeadbeef"
- "abaddad2",
- "9313225df88406e555909c5aff5269aa"
- "6a7a9538534f7da1e4c303d2a318a728"
- "c3c0c95156809539fcf0e2429a6b5254"
- "16aedbf5a0de6a57a637b39b",
-
- "A44A8266EE1C8EB0C8B5D4CF5AE9F19A"
- },
-};
-
-int
-parsehex(char *s, uchar *h, char *l)
-{
- char *e;
- mpint *m;
- int n;
-
- n = strlen(s);
- if(n == 0)
- return 0;
- assert((n & 1) == 0);
- n >>= 1;
- e = nil;
- m = strtomp(s, &e, 16, nil);
- if(m == nil || *e != '\0')
- abort();
- mptober(m, h, n);
- if(l != nil)
- print("%s = %.*H\n", l, n, h);
- return n;
-}
-
-void
-runtest(Test *t)
-{
- AESGCMstate s;
- uchar key[1024], plain[1024], aad[1024], iv[1024], tag[16], tmp[16];
- int nkey, nplain, naad, niv;
-
- nkey = parsehex(t->K, key, "K");
- nplain = parsehex(t->P, plain, "P");
- naad = parsehex(t->A, aad, "A");
- niv = parsehex(t->IV, iv, "IV");
-
- setupAESGCMstate(&s, key, nkey, iv, niv);
- aesgcm_encrypt(plain, nplain, aad, naad, tag, &s);
- print("C = %.*H\n", nplain, plain);
- print("T = %.*H\n", 16, tag);
-
- parsehex(t->T, tmp, nil);
- assert(memcmp(tmp, tag, 16) == 0);
-}
-
-void
-perftest(void)
-{
- AESGCMstate s;
- static uchar zeros[16];
- uchar buf[1024*1024], tag[16];
- vlong now;
- int i, delta;
-
- now = nsec();
- for(i=0; i<100; i++){
- memset(buf, 0, sizeof(buf));
- if(1){
- setupAESGCMstate(&s, zeros, 16, zeros, 12);
- aesgcm_encrypt(buf, sizeof(buf), nil, 0, tag, &s);
- } else {
- setupAESstate(&s, zeros, 16, zeros);
- aesCBCencrypt(buf, sizeof(buf), &s);
- }
- }
- delta = (nsec() - now) / 1000000000LL;
- fprint(2, "%ds = %d/s\n", delta, i*sizeof(buf) / delta);
-}
-
-void
-main(int argc, char **argv)
-{
- int i;
-
- fmtinstall('H', encodefmt);
-
- ARGBEGIN {
- case 'p':
- perftest();
- exits(nil);
- } ARGEND;
-
- for(i=0; i<nelem(tests); i++){
- print("Test Case %d\n", i+1);
- runtest(&tests[i]);
- print("\n");
- }
-}
--- a/libsec/bftest.c
+++ /dev/null
@@ -1,279 +1,0 @@
-#include <u.h>
-#include <libc.h>
-#include <libsec.h>
-
-enum{
- Bsz = 8,
-};
-
-typedef struct Testvector Testvector;
-
-struct Testvector{
- uchar key[Bsz];
- uchar plain[Bsz];
- uchar cipher[Bsz];
-};
-
-/*
- * Blowfish test vectors from https://www.schneier.com/code/vectors.txt
- */
-Testvector vector [] = {
- {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
- {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
- {0x4E, 0xF9, 0x97, 0x45, 0x61, 0x98, 0xDD, 0x78}},
-
- {{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF},
- {0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF},
- {0x51, 0x86, 0x6F, 0xD5, 0xB8, 0x5E, 0xCB, 0x8A}},
-
- {{0x30, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
- {0x10, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01},
- {0x7D, 0x85, 0x6F, 0x9A, 0x61, 0x30, 0x63, 0xF2}},
-
- {{0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11},
- {0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11},
- {0x24, 0x66, 0xDD, 0x87, 0x8B, 0x96, 0x3C, 0x9D}},
-
- {{0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF},
- {0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11},
- {0x61, 0xF9, 0xC3, 0x80, 0x22, 0x81, 0xB0, 0x96}},
-
- {{0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11},
- {0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF},
- {0x7D, 0x0C, 0xC6, 0x30, 0xAF, 0xDA, 0x1E, 0xC7}},
-
- {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
- {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
- {0x4E, 0xF9, 0x97, 0x45, 0x61, 0x98, 0xDD, 0x78}},
-
- {{0xFE, 0xDC, 0xBA, 0x98, 0x76, 0x54, 0x32, 0x10},
- {0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF},
- {0x0A, 0xCE, 0xAB, 0x0F, 0xC6, 0xA0, 0xA2, 0x8D}},
-
- {{0x7C, 0xA1, 0x10, 0x45, 0x4A, 0x1A, 0x6E, 0x57},
- {0x01, 0xA1, 0xD6, 0xD0, 0x39, 0x77, 0x67, 0x42},
- {0x59, 0xC6, 0x82, 0x45, 0xEB, 0x05, 0x28, 0x2B}},
-
- {{0x01, 0x31, 0xD9, 0x61, 0x9D, 0xC1, 0x37, 0x6E},
- {0x5C, 0xD5, 0x4C, 0xA8, 0x3D, 0xEF, 0x57, 0xDA},
- {0xB1, 0xB8, 0xCC, 0x0B, 0x25, 0x0F, 0x09, 0xA0}},
-
- {{0x07, 0xA1, 0x13, 0x3E, 0x4A, 0x0B, 0x26, 0x86},
- {0x02, 0x48, 0xD4, 0x38, 0x06, 0xF6, 0x71, 0x72},
- {0x17, 0x30, 0xE5, 0x77, 0x8B, 0xEA, 0x1D, 0xA4}},
-
- {{0x38, 0x49, 0x67, 0x4C, 0x26, 0x02, 0x31, 0x9E},
- {0x51, 0x45, 0x4B, 0x58, 0x2D, 0xDF, 0x44, 0x0A},
- {0xA2, 0x5E, 0x78, 0x56, 0xCF, 0x26, 0x51, 0xEB}},
-
- {{0x04, 0xB9, 0x15, 0xBA, 0x43, 0xFE, 0xB5, 0xB6},
- {0x42, 0xFD, 0x44, 0x30, 0x59, 0x57, 0x7F, 0xA2},
- {0x35, 0x38, 0x82, 0xB1, 0x09, 0xCE, 0x8F, 0x1A}},
-
- {{0x01, 0x13, 0xB9, 0x70, 0xFD, 0x34, 0xF2, 0xCE},
- {0x05, 0x9B, 0x5E, 0x08, 0x51, 0xCF, 0x14, 0x3A},
- {0x48, 0xF4, 0xD0, 0x88, 0x4C, 0x37, 0x99, 0x18}},
-
- {{0x01, 0x70, 0xF1, 0x75, 0x46, 0x8F, 0xB5, 0xE6},
- {0x07, 0x56, 0xD8, 0xE0, 0x77, 0x47, 0x61, 0xD2},
- {0x43, 0x21, 0x93, 0xB7, 0x89, 0x51, 0xFC, 0x98}},
-
- {{0x43, 0x29, 0x7F, 0xAD, 0x38, 0xE3, 0x73, 0xFE},
- {0x76, 0x25, 0x14, 0xB8, 0x29, 0xBF, 0x48, 0x6A},
- {0x13, 0xF0, 0x41, 0x54, 0xD6, 0x9D, 0x1A, 0xE5}},
-
- {{0x07, 0xA7, 0x13, 0x70, 0x45, 0xDA, 0x2A, 0x16},
- {0x3B, 0xDD, 0x11, 0x90, 0x49, 0x37, 0x28, 0x02},
- {0x2E, 0xED, 0xDA, 0x93, 0xFF, 0xD3, 0x9C, 0x79}},
-
- {{0x04, 0x68, 0x91, 0x04, 0xC2, 0xFD, 0x3B, 0x2F},
- {0x26, 0x95, 0x5F, 0x68, 0x35, 0xAF, 0x60, 0x9A},
- {0xD8, 0x87, 0xE0, 0x39, 0x3C, 0x2D, 0xA6, 0xE3}},
-
- {{0x37, 0xD0, 0x6B, 0xB5, 0x16, 0xCB, 0x75, 0x46},
- {0x16, 0x4D, 0x5E, 0x40, 0x4F, 0x27, 0x52, 0x32},
- {0x5F, 0x99, 0xD0, 0x4F, 0x5B, 0x16, 0x39, 0x69}},
-
- {{0x1F, 0x08, 0x26, 0x0D, 0x1A, 0xC2, 0x46, 0x5E},
- {0x6B, 0x05, 0x6E, 0x18, 0x75, 0x9F, 0x5C, 0xCA},
- {0x4A, 0x05, 0x7A, 0x3B, 0x24, 0xD3, 0x97, 0x7B}},
-
- {{0x58, 0x40, 0x23, 0x64, 0x1A, 0xBA, 0x61, 0x76},
- {0x00, 0x4B, 0xD6, 0xEF, 0x09, 0x17, 0x60, 0x62},
- {0x45, 0x20, 0x31, 0xC1, 0xE4, 0xFA, 0xDA, 0x8E}},
-
- {{0x02, 0x58, 0x16, 0x16, 0x46, 0x29, 0xB0, 0x07},
- {0x48, 0x0D, 0x39, 0x00, 0x6E, 0xE7, 0x62, 0xF2},
- {0x75, 0x55, 0xAE, 0x39, 0xF5, 0x9B, 0x87, 0xBD}},
-
- {{0x49, 0x79, 0x3E, 0xBC, 0x79, 0xB3, 0x25, 0x8F},
- {0x43, 0x75, 0x40, 0xC8, 0x69, 0x8F, 0x3C, 0xFA},
- {0x53, 0xC5, 0x5F, 0x9C, 0xB4, 0x9F, 0xC0, 0x19}},
-
- {{0x4F, 0xB0, 0x5E, 0x15, 0x15, 0xAB, 0x73, 0xA7},
- {0x07, 0x2D, 0x43, 0xA0, 0x77, 0x07, 0x52, 0x92},
- {0x7A, 0x8E, 0x7B, 0xFA, 0x93, 0x7E, 0x89, 0xA3}},
-
- {{0x49, 0xE9, 0x5D, 0x6D, 0x4C, 0xA2, 0x29, 0xBF},
- {0x02, 0xFE, 0x55, 0x77, 0x81, 0x17, 0xF1, 0x2A},
- {0xCF, 0x9C, 0x5D, 0x7A, 0x49, 0x86, 0xAD, 0xB5}},
-
- {{0x01, 0x83, 0x10, 0xDC, 0x40, 0x9B, 0x26, 0xD6},
- {0x1D, 0x9D, 0x5C, 0x50, 0x18, 0xF7, 0x28, 0xC2},
- {0xD1, 0xAB, 0xB2, 0x90, 0x65, 0x8B, 0xC7, 0x78}},
-
- {{0x1C, 0x58, 0x7F, 0x1C, 0x13, 0x92, 0x4F, 0xEF},
- {0x30, 0x55, 0x32, 0x28, 0x6D, 0x6F, 0x29, 0x5A},
- {0x55, 0xCB, 0x37, 0x74, 0xD1, 0x3E, 0xF2, 0x01}},
-
- {{0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01},
- {0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF},
- {0xFA, 0x34, 0xEC, 0x48, 0x47, 0xB2, 0x68, 0xB2}},
-
- {{0x1F, 0x1F, 0x1F, 0x1F, 0x0E, 0x0E, 0x0E, 0x0E},
- {0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF},
- {0xA7, 0x90, 0x79, 0x51, 0x08, 0xEA, 0x3C, 0xAE}},
-
- {{0xE0, 0xFE, 0xE0, 0xFE, 0xF1, 0xFE, 0xF1, 0xFE},
- {0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF},
- {0xC3, 0x9E, 0x07, 0x2D, 0x9F, 0xAC, 0x63, 0x1D}},
-
- {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
- {0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF},
- {0x01, 0x49, 0x33, 0xE0, 0xCD, 0xAF, 0xF6, 0xE4}},
-
- {{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF},
- {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
- {0xF2, 0x1E, 0x9A, 0x77, 0xB7, 0x1C, 0x49, 0xBC}},
-
- {{0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF},
- {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
- {0x24, 0x59, 0x46, 0x88, 0x57, 0x54, 0x36, 0x9A}},
-
- {{0xFE, 0xDC, 0xBA, 0x98, 0x76, 0x54, 0x32, 0x10},
- {0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF},
- {0x6B, 0x5C, 0x5A, 0x9C, 0x5D, 0x9E, 0x0A, 0x5A}}
-};
-
-uchar CBCkey[16] = {
- 0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF,
- 0xF0, 0xE1, 0xD2, 0xC3, 0xB4, 0xA5, 0x96, 0x87
-};
-
-uchar CBCiv[8] = {
- 0xFE, 0xDC, 0xBA, 0x98, 0x76, 0x54, 0x32, 0x10
-};
-
-uchar CBCdata[29] = {
- 0x37, 0x36, 0x35, 0x34, 0x33, 0x32, 0x31, 0x20,
- 0x4E, 0x6F, 0x77, 0x20, 0x69, 0x73, 0x20, 0x74,
- 0x68, 0x65, 0x20, 0x74, 0x69, 0x6D, 0x65, 0x20,
- 0x66, 0x6F, 0x72, 0x20, 0x00
-};
-
-uchar CBCcipher[32] = {
- 0x6B, 0x77, 0xB4, 0xD6, 0x30, 0x06, 0xDE, 0xE6,
- 0x05, 0xB1, 0x56, 0xE2, 0x74, 0x03, 0x97, 0x93,
- 0x58, 0xDE, 0xB9, 0xE7, 0x15, 0x46, 0x16, 0xD9,
- 0x59, 0xF1, 0x65, 0x2B, 0xD5, 0xFF, 0x92, 0xCC
-};
-
-int
-testECB(Testvector *t)
-{
- BFstate s;
- int i;
- uchar aux[Bsz];
-
- memcpy(aux, t->plain, Bsz);
-
- memset(&s, 0, sizeof(BFstate));
- setupBFstate(&s, t->key, Bsz, nil);
- bfECBencrypt(aux, Bsz, &s);
-
- if(memcmp(aux, t->cipher, Bsz) != 0){
- fprint(2, "ECB encrypt failed, ciphertext is:\n");
- for(i = 0; i < Bsz; i++)
- fprint(2, "%02X", aux[i]);
- fprint(2, "\nand should be:\n");
- for(i = 0; i < Bsz; i++)
- fprint(2, "%02X", t->cipher[i]);
- fprint(2, "\n");
- return -1;
- }
-
- memset(&s, 0, sizeof(BFstate));
- setupBFstate(&s, t->key, Bsz, nil);
- bfECBdecrypt(aux, Bsz, &s);
-
- if(memcmp(aux, t->plain, Bsz) != 0){
- fprint(2, "ECB decrypt failed, plaintext is:\n");
- for(i = 0; i < Bsz; i++)
- fprint(2, "%02X", aux[i]);
- fprint(2, "\nand should be:\n");
- for(i = 0; i < Bsz; i++)
- fprint(2, "%02X", t->plain[i]);
- fprint(2, "\n");
- return -1;
- }
- return 0;
-}
-
-int
-testCBC(void)
-{
- BFstate s;
- uchar aux[32];
- int i;
-
- memset(aux, 0 , sizeof(aux));
- memcpy(aux, CBCdata, sizeof(CBCdata));
- memset(&s, 0, sizeof(BFstate));
- setupBFstate(&s, CBCkey, sizeof(CBCkey), CBCiv);
- bfCBCencrypt(aux, 32, &s);
-
- if(memcmp(aux, CBCcipher, sizeof(CBCcipher)) != 0){
- fprint(2, "CBC encrypt failed, ciphertext is:\n");
- for(i = 0; i < sizeof(aux); i++)
- fprint(2, "%02X", aux[i]);
- fprint(2, "\nand should be:\n");
- for(i = 0; i < sizeof(CBCcipher); i++)
- fprint(2, "%02X", CBCcipher[i]);
- fprint(2, "\n");
- return -1;
- }
-
- memset(&s, 0, sizeof(BFstate));
- setupBFstate(&s, CBCkey, sizeof(CBCkey), CBCiv);
- bfCBCdecrypt(aux, 32, &s);
-
- if(memcmp(aux, CBCdata, sizeof(CBCdata)) != 0){
- fprint(2, "CBC decrypt failed, plaintext is:\n");
- for(i = 0; i < sizeof(aux); i++)
- fprint(2, "%02X", aux[i]);
- fprint(2, "\nand should be:\n");
- for(i = 0; i < sizeof(CBCdata); i++)
- fprint(2, "%02X", CBCdata[i]);
- fprint(2, "\n");
- return -1;
- }
-
- return 0;
-}
-
-void
-main(int argc, char **argv)
-{
- int i;
-
- if(argc != 1)
- sysfatal("usage: %s", argv[0]);
-
- for(i=0; i < nelem(vector); i++)
- if(testECB(&vector[i]) < 0)
- sysfatal("TestECB %d failed", i);
-
- if(testCBC() < 0)
- sysfatal("TestCBC failed");
- exits(nil);
-}
--- a/libsec/chachatest.c
+++ /dev/null
@@ -1,176 +1,0 @@
-#include <u.h>
-#include <libc.h>
-#include <libsec.h>
-
-static void
-printblock(uchar *b, usize n)
-{
- int i;
-
- for(i=0; i+8<=n; i+=8){
- print("%#.2ux %#.2ux %#.2ux %#.2ux %#.2ux %#.2ux %#.2ux %#.2ux\n",
- b[0], b[1], b[2], b[3], b[4], b[5], b[6], b[7]);
- b += 8;
- }
- if(i < n){
- print("%#.2ux", *b++);
- while(++i < n)
- print(" %#.2ux", *b++);
- print("\n");
- }
-}
-
-/* test vector from RFC7539 */
-uchar rfckey[] = {
- 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
- 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
- 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
- 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f};
-uchar rfcnonce[] = {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x4a, 0x00, 0x00, 0x00, 0x00};
-u32int rfccount = 1;
-char rfctext[] = "Ladies and Gentlemen of the class of '99: If I could offer you only one tip for the future, "
- "sunscreen would be it.";
-uchar rfcout[3*ChachaBsize];
-uchar rfcref[] = {
- 0x6e, 0x2e, 0x35, 0x9a, 0x25, 0x68, 0xf9, 0x80, 0x41, 0xba, 0x07, 0x28, 0xdd, 0x0d, 0x69, 0x81,
- 0xe9, 0x7e, 0x7a, 0xec, 0x1d, 0x43, 0x60, 0xc2, 0x0a, 0x27, 0xaf, 0xcc, 0xfd, 0x9f, 0xae, 0x0b,
- 0xf9, 0x1b, 0x65, 0xc5, 0x52, 0x47, 0x33, 0xab, 0x8f, 0x59, 0x3d, 0xab, 0xcd, 0x62, 0xb3, 0x57,
- 0x16, 0x39, 0xd6, 0x24, 0xe6, 0x51, 0x52, 0xab, 0x8f, 0x53, 0x0c, 0x35, 0x9f, 0x08, 0x61, 0xd8,
- 0x07, 0xca, 0x0d, 0xbf, 0x50, 0x0d, 0x6a, 0x61, 0x56, 0xa3, 0x8e, 0x08, 0x8a, 0x22, 0xb6, 0x5e,
- 0x52, 0xbc, 0x51, 0x4d, 0x16, 0xcc, 0xf8, 0x06, 0x81, 0x8c, 0xe9, 0x1a, 0xb7, 0x79, 0x37, 0x36,
- 0x5a, 0xf9, 0x0b, 0xbf, 0x74, 0xa3, 0x5b, 0xe6, 0xb4, 0x0b, 0x8e, 0xed, 0xf2, 0x78, 0x5e, 0x42,
- 0x87, 0x4d
-};
-
-uchar ccpaad[] = {
- 0x50, 0x51, 0x52, 0x53, 0xc0, 0xc1, 0xc2, 0xc3, 0xc4, 0xc5, 0xc6, 0xc7,
-};
-uchar ccpkey[] = {
- 0x80, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87, 0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d, 0x8e, 0x8f,
- 0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x97, 0x98, 0x99, 0x9a, 0x9b, 0x9c, 0x9d, 0x9e, 0x9f,
-};
-uchar ccpiv[] = {
- 0x07, 0x00, 0x00, 0x00,
- 0x40, 0x41, 0x42, 0x43, 0x44, 0x45, 0x46, 0x47,
-};
-uchar ccptag[] = {
- 0x1a, 0xe1, 0x0b, 0x59, 0x4f, 0x09, 0xe2, 0x6a, 0x7e, 0x90, 0x2e, 0xcb, 0xd0, 0x60, 0x06, 0x91,
-};
-
-uchar ccp64aad[] = {
- 0x87, 0xe2, 0x29, 0xd4, 0x50, 0x08, 0x45, 0xa0, 0x79, 0xc0,
-};
-uchar ccp64key[] = {
- 0x42, 0x90, 0xbc, 0xb1, 0x54, 0x17, 0x35, 0x31, 0xf3, 0x14, 0xaf, 0x57, 0xf3, 0xbe, 0x3b, 0x50,
- 0x06, 0xda, 0x37, 0x1e, 0xce, 0x27, 0x2a, 0xfa, 0x1b, 0x5d, 0xbd, 0xd1, 0x10, 0x0a, 0x10, 0x07,
-};
-uchar ccp64iv[] = {
- 0xcd, 0x7c, 0xf6, 0x7b, 0xe3, 0x9c, 0x79, 0x4a,
-};
-uchar ccp64inp[] = {
- 0x86, 0xd0, 0x99, 0x74, 0x84, 0x0b, 0xde, 0xd2, 0xa5, 0xca,
-};
-uchar ccp64out[] = {
- 0xe3, 0xe4, 0x46, 0xf7, 0xed, 0xe9, 0xa1, 0x9b, 0x62, 0xa4,
-};
-uchar ccp64tag[] = {
- 0x67, 0x7d, 0xab, 0xf4, 0xe3, 0xd2, 0x4b, 0x87, 0x6b, 0xb2, 0x84, 0x75, 0x38, 0x96, 0xe1, 0xd6,
-};
-
-void
-main(int argc, char **argv)
-{
- Chachastate s;
- uchar tag[16];
- int n;
-
- ARGBEGIN{
- }ARGEND
- print("rfc7539:\n");
- print("key:\n");
- printblock(rfckey, sizeof(rfckey));
- n = strlen(rfctext);
- setupChachastate(&s, rfckey, sizeof(rfckey), rfcnonce, sizeof(rfcnonce), 0);
- chacha_setblock(&s, rfccount);
- print("rfc in:\n");
- printblock((uchar*)rfctext, n);
- chacha_encrypt2((uchar*)rfctext, rfcout, n, &s);
- print("rfc out:\n");
- printblock(rfcout, n);
- if(memcmp(rfcout, rfcref, sizeof(rfcref)) != 0){
- print("failure of vision\n");
- exits("wrong");
- }
- print("\n");
-
- print("ccpoly key:\n");
- printblock(ccpkey, sizeof(ccpkey));
-
- print("ccpoly iv:\n");
- printblock(ccpiv, sizeof(ccpiv));
-
- setupChachastate(&s, ccpkey, sizeof(ccpkey), ccpiv, sizeof(ccpiv), 20);
-
- memmove(rfcout, rfctext, sizeof(rfctext)-1);
- ccpoly_encrypt(rfcout, sizeof(rfctext)-1, ccpaad, sizeof(ccpaad), tag, &s);
-
- print("ccpoly cipher:\n");
- printblock(rfcout, sizeof(rfctext)-1);
-
- print("ccpoly tag:\n");
- printblock(tag, sizeof(tag));
-
- if(memcmp(tag, ccptag, sizeof(tag)) != 0){
- print("bad ccpoly tag\n");
- exits("wrong");
- }
-
- if(ccpoly_decrypt(rfcout, sizeof(rfctext)-1, ccpaad, sizeof(ccpaad), tag, &s) != 0){
- print("ccpoly decryption failed\n");
- exits("wrong");
- }
-
- if(memcmp(rfcout, rfctext, sizeof(rfctext)-1) != 0){
- print("ccpoly bad decryption\n");
- exits("wrong");
- }
- print("\n");
-
- print("ccpoly64 key:\n");
- printblock(ccp64key, sizeof(ccp64key));
-
- print("ccpoly64 iv:\n");
- printblock(ccp64iv, sizeof(ccp64iv));
-
- setupChachastate(&s, ccp64key, sizeof(ccp64key), ccp64iv, sizeof(ccp64iv), 20);
-
- memmove(rfcout, ccp64inp, sizeof(ccp64inp));
- ccpoly_encrypt(rfcout, sizeof(ccp64inp), ccp64aad, sizeof(ccp64aad), tag, &s);
-
- print("ccpoly64 cipher:\n");
- printblock(rfcout, sizeof(ccp64inp));
-
- print("ccpoly64 tag:\n");
- printblock(tag, sizeof(tag));
-
- if(memcmp(rfcout, ccp64out, sizeof(ccp64out)) != 0){
- print("ccpoly64 bad ciphertext\n");
- exits("wrong");
- }
- if(memcmp(tag, ccp64tag, sizeof(ccp64tag)) != 0){
- print("ccpoly64 bad encryption tag\n");
- exits("wrong");
- }
-
- if(ccpoly_decrypt(rfcout, sizeof(ccp64inp), ccp64aad, sizeof(ccp64aad), tag, &s) != 0){
- print("ccpoly64 decryption failed\n");
- exits("wrong");
- }
- if(memcmp(rfcout, ccp64inp, sizeof(ccp64inp)) != 0){
- print("ccpoly64 bad decryption\n");
- exits("wrong");
- }
-
- print("passed\n");
- exits(nil);
-}
--- a/libsec/des3ECB.c
+++ /dev/null
@@ -1,47 +1,0 @@
-#include "os.h"
-#include <libsec.h>
-
-// I wasn't sure what to do when the buffer was not
-// a multiple of 8. I did what lacy's cryptolib did
-// to be compatible, but it looks dangerous to me
-// since its encrypting plain text with the key. -- presotto
-
-void
-des3ECBencrypt(uchar *p, int len, DES3state *s)
-{
- int i;
- uchar tmp[8];
-
- for(; len >= 8; len -= 8){
- triple_block_cipher(s->expanded, p, DES3EDE);
- p += 8;
- }
-
- if(len > 0){
- for (i=0; i<8; i++)
- tmp[i] = i;
- triple_block_cipher(s->expanded, tmp, DES3EDE);
- for (i = 0; i < len; i++)
- p[i] ^= tmp[i];
- }
-}
-
-void
-des3ECBdecrypt(uchar *p, int len, DES3state *s)
-{
- int i;
- uchar tmp[8];
-
- for(; len >= 8; len -= 8){
- triple_block_cipher(s->expanded, p, DES3DED);
- p += 8;
- }
-
- if(len > 0){
- for (i=0; i<8; i++)
- tmp[i] = i;
- triple_block_cipher(s->expanded, tmp, DES3EDE);
- for (i = 0; i < len; i++)
- p[i] ^= tmp[i];
- }
-}
--- a/libsec/desCBC.c
+++ /dev/null
@@ -1,58 +1,0 @@
-#include "os.h"
-#include <libsec.h>
-
-// Because of the way that non multiple of 8
-// buffers are handled, the decryptor must
-// be fed buffers of the same size as the
-// encryptor
-
-
-// If the length is not a multiple of 8, I encrypt
-// the overflow to be compatible with lacy's cryptlib
-void
-desCBCencrypt(uchar *p, int len, DESstate *s)
-{
- uchar *p2, *ip, *eip;
-
- for(; len >= 8; len -= 8){
- p2 = p;
- ip = s->ivec;
- for(eip = ip+8; ip < eip; )
- *p2++ ^= *ip++;
- block_cipher(s->expanded, p, 0);
- memmove(s->ivec, p, 8);
- p += 8;
- }
-
- if(len > 0){
- ip = s->ivec;
- block_cipher(s->expanded, ip, 0);
- for(eip = ip+len; ip < eip; )
- *p++ ^= *ip++;
- }
-}
-
-void
-desCBCdecrypt(uchar *p, int len, DESstate *s)
-{
- uchar *ip, *eip, *tp;
- uchar tmp[8];
-
- for(; len >= 8; len -= 8){
- memmove(tmp, p, 8);
- block_cipher(s->expanded, p, 1);
- tp = tmp;
- ip = s->ivec;
- for(eip = ip+8; ip < eip; ){
- *p++ ^= *ip;
- *ip++ = *tp++;
- }
- }
-
- if(len > 0){
- ip = s->ivec;
- block_cipher(s->expanded, ip, 0);
- for(eip = ip+len; ip < eip; )
- *p++ ^= *ip++;
- }
-}
--- a/libsec/desECB.c
+++ /dev/null
@@ -1,47 +1,0 @@
-#include "os.h"
-#include <libsec.h>
-
-// I wasn't sure what to do when the buffer was not
-// a multiple of 8. I did what lacy's cryptolib did
-// to be compatible, but it looks dangerous to me
-// since its encrypting plain text with the key. -- presotto
-
-void
-desECBencrypt(uchar *p, int len, DESstate *s)
-{
- int i;
- uchar tmp[8];
-
- for(; len >= 8; len -= 8){
- block_cipher(s->expanded, p, 0);
- p += 8;
- }
-
- if(len > 0){
- for (i=0; i<8; i++)
- tmp[i] = i;
- block_cipher(s->expanded, tmp, 0);
- for (i = 0; i < len; i++)
- p[i] ^= tmp[i];
- }
-}
-
-void
-desECBdecrypt(uchar *p, int len, DESstate *s)
-{
- int i;
- uchar tmp[8];
-
- for(; len >= 8; len -= 8){
- block_cipher(s->expanded, p, 1);
- p += 8;
- }
-
- if(len > 0){
- for (i=0; i<8; i++)
- tmp[i] = i;
- block_cipher(s->expanded, tmp, 0);
- for (i = 0; i < len; i++)
- p[i] ^= tmp[i];
- }
-}
--- a/libsec/dsaalloc.c
+++ /dev/null
@@ -1,72 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-DSApub*
-dsapuballoc(void)
-{
- DSApub *dsa;
-
- dsa = mallocz(sizeof(*dsa), 1);
- if(dsa == nil)
- sysfatal("dsapuballoc");
- return dsa;
-}
-
-void
-dsapubfree(DSApub *dsa)
-{
- if(dsa == nil)
- return;
- mpfree(dsa->p);
- mpfree(dsa->q);
- mpfree(dsa->alpha);
- mpfree(dsa->key);
- free(dsa);
-}
-
-
-DSApriv*
-dsaprivalloc(void)
-{
- DSApriv *dsa;
-
- dsa = mallocz(sizeof(*dsa), 1);
- if(dsa == nil)
- sysfatal("dsaprivalloc");
- return dsa;
-}
-
-void
-dsaprivfree(DSApriv *dsa)
-{
- if(dsa == nil)
- return;
- mpfree(dsa->pub.p);
- mpfree(dsa->pub.q);
- mpfree(dsa->pub.alpha);
- mpfree(dsa->pub.key);
- mpfree(dsa->secret);
- free(dsa);
-}
-
-DSAsig*
-dsasigalloc(void)
-{
- DSAsig *dsa;
-
- dsa = mallocz(sizeof(*dsa), 1);
- if(dsa == nil)
- sysfatal("dsasigalloc");
- return dsa;
-}
-
-void
-dsasigfree(DSAsig *dsa)
-{
- if(dsa == nil)
- return;
- mpfree(dsa->r);
- mpfree(dsa->s);
- free(dsa);
-}
--- a/libsec/dsagen.c
+++ /dev/null
@@ -1,58 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-DSApriv*
-dsagen(DSApub *opub)
-{
- DSApub *pub;
- DSApriv *priv;
- mpint *exp;
- mpint *g;
- mpint *r;
- int bits;
-
- priv = dsaprivalloc();
- pub = &priv->pub;
-
- if(opub != nil){
- pub->p = mpcopy(opub->p);
- pub->q = mpcopy(opub->q);
- } else {
- pub->p = mpnew(0);
- pub->q = mpnew(0);
- DSAprimes(pub->q, pub->p, nil);
- }
- bits = Dbits*pub->p->top;
-
- pub->alpha = mpnew(0);
- pub->key = mpnew(0);
- priv->secret = mpnew(0);
-
- // find a generator alpha of the multiplicative
- // group Z*p, i.e., of order n = p-1. We use the
- // fact that q divides p-1 to reduce the exponent.
- exp = mpnew(0);
- g = mpnew(0);
- r = mpnew(0);
- mpsub(pub->p, mpone, exp);
- mpdiv(exp, pub->q, exp, r);
- if(mpcmp(r, mpzero) != 0)
- sysfatal("dsagen foul up");
- while(1){
- mprand(bits, genrandom, g);
- mpmod(g, pub->p, g);
- mpexp(g, exp, pub->p, pub->alpha);
- if(mpcmp(pub->alpha, mpone) != 0)
- break;
- }
- mpfree(g);
- mpfree(exp);
-
- // create the secret key
- mprand(bits, genrandom, priv->secret);
- mpmod(priv->secret, pub->p, priv->secret);
- mpexp(pub->alpha, priv->secret, pub->p, pub->key);
-
- return priv;
-}
--- a/libsec/dsaprimes.c
+++ /dev/null
@@ -1,97 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-// NIST algorithm for generating DSA primes
-// Menezes et al (1997) Handbook of Applied Cryptography, p.151
-// q is a 160-bit prime; p is a 1024-bit prime; q divides p-1
-
-// arithmetic on unsigned ints mod 2**160, represented
-// as 20-byte, little-endian uchar array
-
-static void
-Hrand(uchar *s)
-{
- u32int *u = (u32int*)s;
- *u++ = fastrand();
- *u++ = fastrand();
- *u++ = fastrand();
- *u++ = fastrand();
- *u = fastrand();
-}
-
-static void
-Hincr(uchar *s)
-{
- int i;
- for(i=0; i<20; i++)
- if(++s[i]!=0)
- break;
-}
-
-// this can run for quite a while; be patient
-void
-DSAprimes(mpint *q, mpint *p, uchar seed[SHA1dlen])
-{
- int i, j, k, n = 6, b = 63;
- uchar s[SHA1dlen], Hs[SHA1dlen], Hs1[SHA1dlen], sj[SHA1dlen], sjk[SHA1dlen];
- mpint *two1023, *mb, *Vk, *W, *X, *q2;
-
- two1023 = mpnew(1024);
- mpleft(mpone, 1023, two1023);
- mb = mpnew(0);
- mpleft(mpone, b, mb);
- W = mpnew(1024);
- Vk = mpnew(1024);
- X = mpnew(0);
- q2 = mpnew(0);
-forever:
- do{
- Hrand(s);
- memcpy(sj, s, 20);
- sha1(s, 20, Hs, 0);
- Hincr(sj);
- sha1(sj, 20, Hs1, 0);
- for(i=0; i<20; i++)
- Hs[i] ^= Hs1[i];
- Hs[0] |= 1;
- Hs[19] |= 0x80;
- letomp(Hs, 20, q);
- }while(!probably_prime(q, 18));
- if(seed != nil) // allow skeptics to confirm computation
- memmove(seed, s, SHA1dlen);
- i = 0;
- j = 2;
- Hincr(sj);
- mpleft(q, 1, q2);
- while(i<4096){
- memcpy(sjk, sj, 20);
- for(k=0; k <= n; k++){
- sha1(sjk, 20, Hs, 0);
- letomp(Hs, 20, Vk);
- if(k == n)
- mpmod(Vk, mb, Vk);
- mpleft(Vk, 160*k, Vk);
- mpadd(W, Vk, W);
- Hincr(sjk);
- }
- mpadd(W, two1023, X);
- mpmod(X, q2, W);
- mpsub(W, mpone, W);
- mpsub(X, W, p);
- if(mpcmp(p, two1023)>=0 && probably_prime(p, 5))
- goto done;
- i += 1;
- j += n+1;
- for(k=0; k<n+1; k++)
- Hincr(sj);
- }
- goto forever;
-done:
- mpfree(q2);
- mpfree(X);
- mpfree(Vk);
- mpfree(W);
- mpfree(mb);
- mpfree(two1023);
-}
--- a/libsec/dsaprivtopub.c
+++ /dev/null
@@ -1,16 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-DSApub*
-dsaprivtopub(DSApriv *priv)
-{
- DSApub *pub;
-
- pub = dsapuballoc();
- pub->p = mpcopy(priv->pub.p);
- pub->q = mpcopy(priv->pub.q);
- pub->alpha = mpcopy(priv->pub.alpha);
- pub->key = mpcopy(priv->pub.key);
- return pub;
-}
--- a/libsec/dsasign.c
+++ /dev/null
@@ -1,52 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-DSAsig*
-dsasign(DSApriv *priv, mpint *m)
-{
- DSApub *pub = &priv->pub;
- DSAsig *sig;
- mpint *qm1, *k, *kinv, *r, *s;
- mpint *q = pub->q, *p = pub->p, *alpha = pub->alpha;
- int qlen = mpsignif(q);
-
- qm1 = mpnew(0);
- kinv = mpnew(0);
- r = mpnew(0);
- s = mpnew(0);
- k = mpnew(0);
- mpsub(pub->q, mpone, qm1);
-
- // find a k that has an inverse mod q
- while(1){
- mprand(qlen, genrandom, k);
- if((mpcmp(mpone, k) > 0) || (mpcmp(k, pub->q) >= 0))
- continue;
- mpextendedgcd(k, q, r, kinv, s);
- if(mpcmp(r, mpone) != 0)
- sysfatal("dsasign: pub->q not prime");
- break;
- }
-
- // make kinv positive
- mpmod(kinv, pub->q, kinv);
-
- // r = ((alpha**k) mod p) mod q
- mpexp(alpha, k, p, r);
- mpmod(r, q, r);
-
- // s = (kinv*(m + ar)) mod q
- mpmul(r, priv->secret, s);
- mpadd(s, m, s);
- mpmul(s, kinv, s);
- mpmod(s, q, s);
-
- sig = dsasigalloc();
- sig->r = r;
- sig->s = s;
- mpfree(qm1);
- mpfree(k);
- mpfree(kinv);
- return sig;
-}
--- a/libsec/dsaverify.c
+++ /dev/null
@@ -1,46 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-int
-dsaverify(DSApub *pub, DSAsig *sig, mpint *m)
-{
- int rv = -1;
- mpint *u1, *u2, *v, *sinv;
-
- if(mpcmp(sig->r, mpone) < 0 || mpcmp(sig->r, pub->q) >= 0)
- return rv;
- if(mpcmp(sig->s, mpone) < 0 || mpcmp(sig->s, pub->q) >= 0)
- return rv;
- u1 = mpnew(0);
- u2 = mpnew(0);
- v = mpnew(0);
- sinv = mpnew(0);
-
- // find (s**-1) mod q, make sure it exists
- mpextendedgcd(sig->s, pub->q, u1, sinv, v);
- if(mpcmp(u1, mpone) != 0)
- goto out;
-
- // u1 = (sinv * m) mod q, u2 = (r * sinv) mod q
- mpmul(sinv, m, u1);
- mpmod(u1, pub->q, u1);
- mpmul(sig->r, sinv, u2);
- mpmod(u2, pub->q, u2);
-
- // v = (((alpha**u1)*(key**u2)) mod p) mod q
- mpexp(pub->alpha, u1, pub->p, sinv);
- mpexp(pub->key, u2, pub->p, v);
- mpmul(sinv, v, v);
- mpmod(v, pub->p, v);
- mpmod(v, pub->q, v);
-
- if(mpcmp(v, sig->r) == 0)
- rv = 0;
-out:
- mpfree(v);
- mpfree(u1);
- mpfree(u2);
- mpfree(sinv);
- return rv;
-}
--- a/libsec/egalloc.c
+++ /dev/null
@@ -1,70 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-EGpub*
-egpuballoc(void)
-{
- EGpub *eg;
-
- eg = mallocz(sizeof(*eg), 1);
- if(eg == nil)
- sysfatal("egpuballoc");
- return eg;
-}
-
-void
-egpubfree(EGpub *eg)
-{
- if(eg == nil)
- return;
- mpfree(eg->p);
- mpfree(eg->alpha);
- mpfree(eg->key);
- free(eg);
-}
-
-
-EGpriv*
-egprivalloc(void)
-{
- EGpriv *eg;
-
- eg = mallocz(sizeof(*eg), 1);
- if(eg == nil)
- sysfatal("egprivalloc");
- return eg;
-}
-
-void
-egprivfree(EGpriv *eg)
-{
- if(eg == nil)
- return;
- mpfree(eg->pub.p);
- mpfree(eg->pub.alpha);
- mpfree(eg->pub.key);
- mpfree(eg->secret);
- free(eg);
-}
-
-EGsig*
-egsigalloc(void)
-{
- EGsig *eg;
-
- eg = mallocz(sizeof(*eg), 1);
- if(eg == nil)
- sysfatal("egsigalloc");
- return eg;
-}
-
-void
-egsigfree(EGsig *eg)
-{
- if(eg == nil)
- return;
- mpfree(eg->r);
- mpfree(eg->s);
- free(eg);
-}
--- a/libsec/egdecrypt.c
+++ /dev/null
@@ -1,28 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-mpint*
-egdecrypt(EGpriv *priv, mpint *in, mpint *out)
-{
- EGpub *pub = &priv->pub;
- mpint *gamma, *delta;
- mpint *p = pub->p;
- int plen = mpsignif(p)+1;
- int shift = ((plen+Dbits-1)/Dbits)*Dbits;
-
- if(out == nil)
- out = mpnew(0);
- gamma = mpnew(0);
- delta = mpnew(0);
- mpright(in, shift, gamma);
- mpleft(gamma, shift, delta);
- mpsub(in, delta, delta);
- mpexp(gamma, priv->secret, p, out);
- mpinvert(out, p, gamma);
- mpmul(gamma, delta, out);
- mpmod(out, p, out);
- mpfree(gamma);
- mpfree(delta);
- return out;
-}
--- a/libsec/egencrypt.c
+++ /dev/null
@@ -1,38 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-mpint*
-egencrypt(EGpub *pub, mpint *in, mpint *out)
-{
- mpint *m, *k, *gamma, *delta, *pm1;
- mpint *p = pub->p, *alpha = pub->alpha;
- int plen = mpsignif(p);
- int shift = ((plen+Dbits)/Dbits)*Dbits;
- // in libcrypt version, (int)(LENGTH(pub->p)*sizeof(NumType)*CHARBITS);
-
- if(out == nil)
- out = mpnew(0);
- pm1 = mpnew(0);
- m = mpnew(0);
- gamma = mpnew(0);
- delta = mpnew(0);
- mpmod(in, p, m);
- while(1){
- k = mprand(plen, genrandom, nil);
- if((mpcmp(mpone, k) <= 0) && (mpcmp(k, pm1) < 0))
- break;
- }
- mpexp(alpha, k, p, gamma);
- mpexp(pub->key, k, p, delta);
- mpmul(m, delta, delta);
- mpmod(delta, p, delta);
- mpleft(gamma, shift, out);
- mpadd(delta, out, out);
- mpfree(pm1);
- mpfree(m);
- mpfree(k);
- mpfree(gamma);
- mpfree(delta);
- return out;
-}
--- a/libsec/eggen.c
+++ /dev/null
@@ -1,21 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-EGpriv*
-eggen(int nlen, int rounds)
-{
- EGpub *pub;
- EGpriv *priv;
-
- priv = egprivalloc();
- pub = &priv->pub;
- pub->p = mpnew(0);
- pub->alpha = mpnew(0);
- pub->key = mpnew(0);
- priv->secret = mpnew(0);
- gensafeprime(pub->p, pub->alpha, nlen, rounds);
- mprand(nlen-1, genrandom, priv->secret);
- mpexp(pub->alpha, priv->secret, pub->p, pub->key);
- return priv;
-}
--- a/libsec/egprivtopub.c
+++ /dev/null
@@ -1,17 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-EGpub*
-egprivtopub(EGpriv *priv)
-{
- EGpub *pub;
-
- pub = egpuballoc();
- if(pub == nil)
- return nil;
- pub->p = mpcopy(priv->pub.p);
- pub->alpha = mpcopy(priv->pub.alpha);
- pub->key = mpcopy(priv->pub.key);
- return pub;
-}
--- a/libsec/egsign.c
+++ /dev/null
@@ -1,43 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-EGsig*
-egsign(EGpriv *priv, mpint *m)
-{
- EGpub *pub = &priv->pub;
- EGsig *sig;
- mpint *pm1, *k, *kinv, *r, *s;
- mpint *p = pub->p, *alpha = pub->alpha;
- int plen = mpsignif(p);
-
- pm1 = mpnew(0);
- kinv = mpnew(0);
- r = mpnew(0);
- s = mpnew(0);
- k = mpnew(0);
- mpsub(p, mpone, pm1);
- while(1){
- mprand(plen, genrandom, k);
- if((mpcmp(mpone, k) > 0) || (mpcmp(k, pm1) >= 0))
- continue;
- mpextendedgcd(k, pm1, r, kinv, s);
- if(mpcmp(r, mpone) != 0)
- continue;
- break;
- }
- mpmod(kinv, pm1, kinv); // make kinv positive
- mpexp(alpha, k, p, r);
- mpmul(priv->secret, r, s);
- mpmod(s, pm1, s);
- mpsub(m, s, s);
- mpmul(kinv, s, s);
- mpmod(s, pm1, s);
- sig = egsigalloc();
- sig->r = r;
- sig->s = s;
- mpfree(pm1);
- mpfree(k);
- mpfree(kinv);
- return sig;
-}
--- a/libsec/egtest.c
+++ /dev/null
@@ -1,34 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-void
-main(void)
-{
- EGpriv *sk;
- mpint *m, *gamma, *delta, *in, *out;
- int plen, shift;
-
- fmtinstall('B', mpfmt);
-
- sk = egprivalloc();
- sk->pub.p = uitomp(2357, nil);
- sk->pub.alpha = uitomp(2, nil);
- sk->pub.key = uitomp(1185, nil);
- sk->secret = uitomp(1751, nil);
-
- m = uitomp(2035, nil);
-
- plen = mpsignif(sk->pub.p)+1;
- shift = ((plen+Dbits-1)/Dbits)*Dbits;
- gamma = uitomp(1430, nil);
- delta = uitomp(697, nil);
- out = mpnew(0);
- in = mpnew(0);
- mpleft(gamma, shift, in);
- mpadd(delta, in, in);
- egdecrypt(sk, in, out);
-
- if(mpcmp(m, out) != 0)
- print("decrypt failed to recover message\n");
-}
--- a/libsec/egverify.c
+++ /dev/null
@@ -1,29 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-int
-egverify(EGpub *pub, EGsig *sig, mpint *m)
-{
- mpint *p = pub->p, *alpha = pub->alpha;
- mpint *r = sig->r, *s = sig->s;
- mpint *v1, *v2, *rs;
- int rv = -1;
-
- if(mpcmp(r, mpone) < 0 || mpcmp(r, p) >= 0)
- return rv;
- v1 = mpnew(0);
- rs = mpnew(0);
- v2 = mpnew(0);
- mpexp(pub->key, r, p, v1);
- mpexp(r, s, p, rs);
- mpmul(v1, rs, v1);
- mpmod(v1, p, v1);
- mpexp(alpha, m, p, v2);
- if(mpcmp(v1, v2) == 0)
- rv = 0;
- mpfree(v1);
- mpfree(rs);
- mpfree(v2);
- return rv;
-}
--- a/libsec/genprime.c
+++ /dev/null
@@ -1,28 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-// generate a probable prime. accuracy is the miller-rabin interations
-void
-genprime(mpint *p, int n, int accuracy)
-{
- mpdigit x;
-
- // generate n random bits with high and low bits set
- mpbits(p, n);
- genrandom((uchar*)p->p, (n+7)/8);
- p->top = (n+Dbits-1)/Dbits;
- x = 1;
- x <<= ((n-1)%Dbits);
- p->p[p->top-1] &= (x-1);
- p->p[p->top-1] |= x;
- p->p[0] |= 1;
- mpnorm(p);
-
- // keep icrementing till it looks prime
- for(;;){
- if(probably_prime(p, accuracy))
- break;
- mpadd(p, mptwo, p);
- }
-}
--- a/libsec/gensafeprime.c
+++ /dev/null
@@ -1,36 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-// find a prime p of length n and a generator alpha of Z^*_p
-// Alg 4.86 Menezes et al () Handbook, p.164
-void
-gensafeprime(mpint *p, mpint *alpha, int n, int accuracy)
-{
- mpint *q, *b;
-
- q = mpnew(n-1);
- while(1){
- genprime(q, n-1, accuracy);
- mpleft(q, 1, p);
- mpadd(p, mpone, p); // p = 2*q+1
- if(probably_prime(p, accuracy))
- break;
- }
- // now find a generator alpha of the multiplicative
- // group Z*_p of order p-1=2q
- b = mpnew(0);
- while(1){
- mprand(n, genrandom, alpha);
- mpmod(alpha, p, alpha);
- mpmul(alpha, alpha, b);
- mpmod(b, p, b);
- if(mpcmp(b, mpone) == 0)
- continue;
- mpexp(alpha, q, p, b);
- if(mpcmp(b, mpone) != 0)
- break;
- }
- mpfree(b);
- mpfree(q);
-}
--- a/libsec/genstrongprime.c
+++ /dev/null
@@ -1,57 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-// Gordon's algorithm for generating a strong prime
-// Menezes et al () Handbook, p.150
-void
-genstrongprime(mpint *p, int n, int accuracy)
-{
- mpint *s, *t, *r, *i;
-
- if(n < 64)
- n = 64;
-
- s = mpnew(n/2);
- genprime(s, (n/2)-16, accuracy);
- t = mpnew(n/2);
- genprime(t, n-mpsignif(s)-32, accuracy);
-
- // first r = 2it + 1 that's prime
- i = mpnew(16);
- r = mpnew(0);
- itomp(0x8000, i);
- mpleft(t, 1, t); // 2t
- mpmul(i, t, r); // 2it
- mpadd(r, mpone, r); // 2it + 1
- for(;;){
- if(probably_prime(r, 18))
- break;
- mpadd(r, t, r); // r += 2t
- }
-
- // p0 = 2(s**(r-2) mod r)s - 1
- itomp(2, p);
- mpsub(r, p, p);
- mpexp(s, p, r, p);
- mpmul(s, p, p);
- mpleft(p, 1, p);
- mpsub(p, mpone, p);
-
- // first p = p0 + 2irs that's prime
- itomp(0x8000, i);
- mpleft(r, 1, r); // 2r
- mpmul(r, s, r); // 2rs
- mpmul(r, i, i); // 2irs
- mpadd(p, i, p); // p0 + 2irs
- for(;;){
- if(probably_prime(p, accuracy))
- break;
- mpadd(p, r, p); // p += 2rs
- }
-
- mpfree(i);
- mpfree(s);
- mpfree(r);
- mpfree(t);
-}
--- a/libsec/hmactest.c
+++ /dev/null
@@ -1,19 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-uchar key[] = "Jefe";
-uchar data[] = "what do ya want for nothing?";
-
-void
-main(void)
-{
- int i;
- uchar hash[MD5dlen];
-
- hmac_md5(data, strlen((char*)data), key, 4, hash, nil);
- for(i=0; i<MD5dlen; i++)
- print("%2.2x", hash[i]);
- print("\n");
- print("750c783e6ab0b503eaa86e310a5db738\n");
-}
--- a/libsec/md4.c
+++ /dev/null
@@ -1,271 +1,0 @@
-#include "os.h"
-#include <libsec.h>
-
-/*
- * This MD4 is implemented from the description in Stinson's Cryptography,
- * theory and practice. -- presotto
- */
-
-/*
- * Rotate ammounts used in the algorithm
- */
-enum
-{
- S11= 3,
- S12= 7,
- S13= 11,
- S14= 19,
-
- S21= 3,
- S22= 5,
- S23= 9,
- S24= 13,
-
- S31= 3,
- S32= 9,
- S33= 11,
- S34= 15,
-};
-
-typedef struct MD4Table MD4Table;
-struct MD4Table
-{
- uchar x; /* index into data block */
- uchar rot; /* amount to rotate left by */
-};
-
-static MD4Table tab[] =
-{
- /* round 1 */
-/*[0]*/ { 0, S11},
- { 1, S12},
- { 2, S13},
- { 3, S14},
- { 4, S11},
- { 5, S12},
- { 6, S13},
- { 7, S14},
- { 8, S11},
- { 9, S12},
- { 10, S13},
- { 11, S14},
- { 12, S11},
- { 13, S12},
- { 14, S13},
- { 15, S14},
-
- /* round 2 */
-/*[16]*/{ 0, S21},
- { 4, S22},
- { 8, S23},
- { 12, S24},
- { 1, S21},
- { 5, S22},
- { 9, S23},
- { 13, S24},
- { 2, S21},
- { 6, S22},
- { 10, S23},
- { 14, S24},
- { 3, S21},
- { 7, S22},
- { 11, S23},
- { 15, S24},
-
- /* round 3 */
-/*[32]*/{ 0, S31},
- { 8, S32},
- { 4, S33},
- { 12, S34},
- { 2, S31},
- { 10, S32},
- { 6, S33},
- { 14, S34},
- { 1, S31},
- { 9, S32},
- { 5, S33},
- { 13, S34},
- { 3, S31},
- { 11, S32},
- { 7, S33},
- { 15, S34},
-};
-
-static void encode(uchar*, u32int*, ulong);
-static void decode(u32int*, uchar*, ulong);
-
-static void
-md4block(uchar *p, ulong len, MD4state *s)
-{
- int i;
- u32int a, b, c, d, tmp;
- MD4Table *t;
- uchar *end;
- u32int x[16];
-
- for(end = p+len; p < end; p += 64){
- a = s->state[0];
- b = s->state[1];
- c = s->state[2];
- d = s->state[3];
-
- decode(x, p, 64);
-
- for(i = 0; i < 48; i++){
- t = tab + i;
- switch(i>>4){
- case 0:
- a += (b & c) | (~b & d);
- break;
- case 1:
- a += ((b & c) | (b & d) | (c & d)) + 0x5A827999;
- break;
- case 2:
- a += (b ^ c ^ d) + 0x6ED9EBA1;
- break;
- }
- a += x[t->x];
- a = (a << t->rot) | (a >> (32 - t->rot));
-
- /* rotate variables */
- tmp = d;
- d = c;
- c = b;
- b = a;
- a = tmp;
- }
-
- s->state[0] += a;
- s->state[1] += b;
- s->state[2] += c;
- s->state[3] += d;
-
- s->len += 64;
- }
-}
-
-MD4state*
-md4(uchar *p, ulong len, uchar *digest, MD4state *s)
-{
- u32int x[16];
- uchar buf[128];
- int i;
- uchar *e;
-
- if(s == nil){
- s = malloc(sizeof(*s));
- if(s == nil)
- return nil;
- memset(s, 0, sizeof(*s));
- s->malloced = 1;
- }
-
- if(s->seeded == 0){
- /* seed the state, these constants would look nicer big-endian */
- s->state[0] = 0x67452301;
- s->state[1] = 0xefcdab89;
- s->state[2] = 0x98badcfe;
- s->state[3] = 0x10325476;
- s->seeded = 1;
- }
-
- /* fill out the partial 64 byte block from previous calls */
- if(s->blen){
- i = 64 - s->blen;
- if(len < i)
- i = len;
- memmove(s->buf + s->blen, p, i);
- len -= i;
- s->blen += i;
- p += i;
- if(s->blen == 64){
- md4block(s->buf, s->blen, s);
- s->blen = 0;
- }
- }
-
- /* do 64 byte blocks */
- i = len & ~0x3f;
- if(i){
- md4block(p, i, s);
- len -= i;
- p += i;
- }
-
- /* save the left overs if not last call */
- if(digest == 0){
- if(len){
- memmove(s->buf, p, len);
- s->blen += len;
- }
- return s;
- }
-
- /*
- * this is the last time through, pad what's left with 0x80,
- * 0's, and the input count to create a multiple of 64 bytes
- */
- if(s->blen){
- p = s->buf;
- len = s->blen;
- } else {
- memmove(buf, p, len);
- p = buf;
- }
- s->len += len;
- e = p + len;
- if(len < 56)
- i = 56 - len;
- else
- i = 120 - len;
- memset(e, 0, i);
- *e = 0x80;
- len += i;
-
- /* append the count */
- x[0] = s->len<<3;
- x[1] = s->len>>29;
- encode(p+len, x, 8);
-
- /* digest the last part */
- md4block(p, len+8, s);
-
- /* return result and free state */
- encode(digest, s->state, MD4dlen);
- if(s->malloced == 1)
- free(s);
- return nil;
-}
-
-/*
- * encodes input (u32int) into output (uchar). Assumes len is
- * a multiple of 4.
- */
-static void
-encode(uchar *output, u32int *input, ulong len)
-{
- u32int x;
- uchar *e;
-
- for(e = output + len; output < e;) {
- x = *input++;
- *output++ = x;
- *output++ = x >> 8;
- *output++ = x >> 16;
- *output++ = x >> 24;
- }
-}
-
-/*
- * decodes input (uchar) into output (u32int). Assumes len is
- * a multiple of 4.
- */
-static void
-decode(u32int *output, uchar *input, ulong len)
-{
- uchar *e;
-
- for(e = input+len; input < e; input += 4)
- *output++ = input[0] | (input[1] << 8) |
- (input[2] << 16) | (input[3] << 24);
-}
--- a/libsec/md4test.c
+++ /dev/null
@@ -1,31 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-char *tests[] = {
- "",
- "a",
- "abc",
- "message digest",
- "abcdefghijklmnopqrstuvwxyz",
- "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789",
- "12345678901234567890123456789012345678901234567890123456789012345678901234567890",
- 0
-};
-
-void
-main(void)
-{
- char **pp;
- uchar *p;
- int i;
- uchar digest[MD5dlen];
-
- for(pp = tests; *pp; pp++){
- p = (uchar*)*pp;
- md4(p, strlen(*pp), digest, 0);
- for(i = 0; i < MD5dlen; i++)
- print("%2.2ux", digest[i]);
- print("\n");
- }
-}
--- a/libsec/primetest.c
+++ /dev/null
@@ -1,41 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-void
-main(void)
-{
- mpint *z = mpnew(0);
- mpint *p = mpnew(0);
- mpint *q = mpnew(0);
- mpint *nine = mpnew(0);
-
- fmtinstall('B', mpfmt);
- strtomp("2492491", nil, 16, z); // 38347921 = x*y = (2**28-9)/7,
- // an example of 3**(n-1)=1 mod n
- strtomp("15662C00E811", nil, 16, p);// 23528569104401, a prime
- uitomp(9, nine);
-
- if(probably_prime(z, 5) == 1)
- fprint(2, "tricked primality test\n");
- if(probably_prime(nine, 5) == 1)
- fprint(2, "9 passed primality test!\n");
- if(probably_prime(p, 25) == 1)
- fprint(2, "ok\n");
-
- DSAprimes(q, p, nil);
- print("q=%B\np=%B\n", q, p);
-
- exits(0);
-}
-
-// example output, checked with Maple:
-// seed EB7B6E35F7CD37B511D96C67D6688CC4DD440E1E
-// q=E0F0EF284E10796C5A2A511E94748BA03C795C13
-// = 1284186945063585093695748280224501481698995297299
-// p=C41CFBE4D4846F67A3DF7DE9921A49D3B42DC33728427AB159CEC8CBBDB12B5F0C244F1A734AEB9840804EA3C25036AD1B61AFF3ABBC247CD4B384224567A863A6F020E7EE9795554BCD08ABAD7321AF27E1E92E3DB1C6E7E94FAAE590AE9C48F96D93D178E809401ABE8A534A1EC44359733475A36A70C7B425125062B1142D
-// = 137715385439333164327584575331308277462546592976152006175830654712456008630139443747529133857837818585400418619916530061955288983751958831927807888408309879880101870216437711393638413509484569804814373511469405934988856674935304074081350525593807908358867354528898618574659752879015380013845760006721861915693
-// r=DF310F4E54A5FEC5D86D3E14863921E834113E060F90052AD332B3241CEF2497EFA0303D6344F7C819691A0F9C4A773815AF8EAECFB7EC1D98F039F17A32A7E887D97251A927D093F44A55577F4D70444AEBD06B9B45695EC23962B175F266895C67D21C4656848614D888A4
-// = 107239359478548771267308764204625458348785444483302647285245969203446101233421655396874997253111222983406676955642093641709149748793954493558324738441197139556917622937892491175016280660608595599724194374948056515856812347094848443460715881455884639869144172708
-// g=2F1C308DC46B9A44B52DF7DACCE1208CCEF72F69C743ADD4D2327173444ED6E65E074694246E07F9FD4AE26E0FDDD9F54F813C40CB9BCD4338EA6F242AB94CD410E676C290368A16B1A3594877437E516C53A6EEE5493A038A017E955E218E7819734E3E2A6E0BAE08B14258F8C03CC1B30E0DDADFCF7CEDF0727684D3D255F1
-// = 33081848392740465806285326014906437543653045153885419334085917570615301913274531387168723847139029827598735376746057461417880810924280288611116213062512408829164220104555543445909528701551198146080221790002337033997295756585193926863581671466708482411159477816144226847280417522524922667065714073338662508017
--- a/libsec/probably_prime.c
+++ /dev/null
@@ -1,91 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-/*
- * Miller-Rabin probabilistic primality testing
- * Knuth (1981) Seminumerical Algorithms, p.379
- * Menezes et al () Handbook, p.39
- * 0 if composite; 1 if almost surely prime, Pr(err)<1/4**nrep
- */
-int
-probably_prime(mpint *n, int nrep)
-{
- int j, k, rep, nbits, isprime;
- mpint *nm1, *q, *x, *y, *r;
-
- if(n->sign < 0)
- sysfatal("negative prime candidate");
-
- if(nrep <= 0)
- nrep = 18;
-
- k = mptoi(n);
- if(k < 2) /* 1 is not prime */
- return 0;
- if(k == 2 || k == 3) /* 2, 3 is prime */
- return 1;
- if((n->p[0] & 1) == 0) /* even is not prime */
- return 0;
-
- /* test against small prime numbers */
- if(smallprimetest(n) < 0)
- return 0;
-
- /* fermat test, 2^n mod n == 2 if p is prime */
- x = uitomp(2, nil);
- y = mpnew(0);
- mpexp(x, n, n, y);
- k = mptoi(y);
- if(k != 2){
- mpfree(x);
- mpfree(y);
- return 0;
- }
-
- nbits = mpsignif(n);
- nm1 = mpnew(nbits);
- mpsub(n, mpone, nm1); /* nm1 = n - 1 */
- k = mplowbits0(nm1);
- q = mpnew(0);
- mpright(nm1, k, q); /* q = (n-1)/2**k */
-
- for(rep = 0; rep < nrep; rep++){
- for(;;){
- /* find x = random in [2, n-2] */
- r = mprand(nbits, prng, nil);
- mpmod(r, nm1, x);
- mpfree(r);
- if(mpcmp(x, mpone) > 0)
- break;
- }
-
- /* y = x**q mod n */
- mpexp(x, q, n, y);
-
- if(mpcmp(y, mpone) == 0 || mpcmp(y, nm1) == 0)
- continue;
-
- for(j = 1;; j++){
- if(j >= k) {
- isprime = 0;
- goto done;
- }
- mpmul(y, y, x);
- mpmod(x, n, y); /* y = y*y mod n */
- if(mpcmp(y, nm1) == 0)
- break;
- if(mpcmp(y, mpone) == 0){
- isprime = 0;
- goto done;
- }
- }
- }
- isprime = 1;
-done:
- mpfree(y);
- mpfree(x);
- mpfree(q);
- mpfree(nm1);
- return isprime;
-}
--- a/libsec/ripemd.c
+++ /dev/null
@@ -1,383 +1,0 @@
-#include "os.h"
-
-#include <libsec.h>
-
-#define BYTES_TO_DWORD(strptr) \
- (((u32int) *((strptr)+3) << 24) | \
- ((u32int) *((strptr)+2) << 16) | \
- ((u32int) *((strptr)+1) << 8) | \
- ((u32int) *(strptr)))
-
-#define ROL(x, n) (((x) << (n)) | ((x) >> (32-(n))))
-
-/* the five basic functions F(), G() and H() */
-#define F(x, y, z) ((x) ^ (y) ^ (z))
-#define G(x, y, z) (((x) & (y)) | (~(x) & (z)))
-#define H(x, y, z) (((x) | ~(y)) ^ (z))
-#define I(x, y, z) (((x) & (z)) | ((y) & ~(z)))
-#define J(x, y, z) ((x) ^ ((y) | ~(z)))
-
-/* the ten basic operations FF() through III() */
-#define FF(a, b, c, d, e, x, s) {\
- (a) += F((b), (c), (d)) + (x);\
- (a) = ROL((a), (s)) + (e);\
- (c) = ROL((c), 10);\
- }
-#define GG(a, b, c, d, e, x, s) {\
- (a) += G((b), (c), (d)) + (x) + 0x5a827999UL;\
- (a) = ROL((a), (s)) + (e);\
- (c) = ROL((c), 10);\
- }
-#define HH(a, b, c, d, e, x, s) {\
- (a) += H((b), (c), (d)) + (x) + 0x6ed9eba1UL;\
- (a) = ROL((a), (s)) + (e);\
- (c) = ROL((c), 10);\
- }
-#define II(a, b, c, d, e, x, s) {\
- (a) += I((b), (c), (d)) + (x) + 0x8f1bbcdcUL;\
- (a) = ROL((a), (s)) + (e);\
- (c) = ROL((c), 10);\
- }
-#define JJ(a, b, c, d, e, x, s) {\
- (a) += J((b), (c), (d)) + (x) + 0xa953fd4eUL;\
- (a) = ROL((a), (s)) + (e);\
- (c) = ROL((c), 10);\
- }
-#define FFF(a, b, c, d, e, x, s) {\
- (a) += F((b), (c), (d)) + (x);\
- (a) = ROL((a), (s)) + (e);\
- (c) = ROL((c), 10);\
- }
-#define GGG(a, b, c, d, e, x, s) {\
- (a) += G((b), (c), (d)) + (x) + 0x7a6d76e9UL;\
- (a) = ROL((a), (s)) + (e);\
- (c) = ROL((c), 10);\
- }
-#define HHH(a, b, c, d, e, x, s) {\
- (a) += H((b), (c), (d)) + (x) + 0x6d703ef3UL;\
- (a) = ROL((a), (s)) + (e);\
- (c) = ROL((c), 10);\
- }
-#define III(a, b, c, d, e, x, s) {\
- (a) += I((b), (c), (d)) + (x) + 0x5c4dd124UL;\
- (a) = ROL((a), (s)) + (e);\
- (c) = ROL((c), 10);\
- }
-#define JJJ(a, b, c, d, e, x, s) {\
- (a) += J((b), (c), (d)) + (x) + 0x50a28be6UL;\
- (a) = ROL((a), (s)) + (e);\
- (c) = ROL((c), 10);\
- }
-
-
-static void MDinit(u32int *MDbuf)
-{
- MDbuf[0] = 0x67452301UL;
- MDbuf[1] = 0xefcdab89UL;
- MDbuf[2] = 0x98badcfeUL;
- MDbuf[3] = 0x10325476UL;
- MDbuf[4] = 0xc3d2e1f0UL;
-
- return;
-}
-
-static void compress(u32int *MDbuf, u32int *X)
-{
- u32int aa = MDbuf[0], bb = MDbuf[1], cc = MDbuf[2],
- dd = MDbuf[3], ee = MDbuf[4];
- u32int aaa = MDbuf[0], bbb = MDbuf[1], ccc = MDbuf[2],
- ddd = MDbuf[3], eee = MDbuf[4];
-
- /* round 1 */
- FF(aa, bb, cc, dd, ee, X[ 0], 11);
- FF(ee, aa, bb, cc, dd, X[ 1], 14);
- FF(dd, ee, aa, bb, cc, X[ 2], 15);
- FF(cc, dd, ee, aa, bb, X[ 3], 12);
- FF(bb, cc, dd, ee, aa, X[ 4], 5);
- FF(aa, bb, cc, dd, ee, X[ 5], 8);
- FF(ee, aa, bb, cc, dd, X[ 6], 7);
- FF(dd, ee, aa, bb, cc, X[ 7], 9);
- FF(cc, dd, ee, aa, bb, X[ 8], 11);
- FF(bb, cc, dd, ee, aa, X[ 9], 13);
- FF(aa, bb, cc, dd, ee, X[10], 14);
- FF(ee, aa, bb, cc, dd, X[11], 15);
- FF(dd, ee, aa, bb, cc, X[12], 6);
- FF(cc, dd, ee, aa, bb, X[13], 7);
- FF(bb, cc, dd, ee, aa, X[14], 9);
- FF(aa, bb, cc, dd, ee, X[15], 8);
-
- /* round 2 */
- GG(ee, aa, bb, cc, dd, X[ 7], 7);
- GG(dd, ee, aa, bb, cc, X[ 4], 6);
- GG(cc, dd, ee, aa, bb, X[13], 8);
- GG(bb, cc, dd, ee, aa, X[ 1], 13);
- GG(aa, bb, cc, dd, ee, X[10], 11);
- GG(ee, aa, bb, cc, dd, X[ 6], 9);
- GG(dd, ee, aa, bb, cc, X[15], 7);
- GG(cc, dd, ee, aa, bb, X[ 3], 15);
- GG(bb, cc, dd, ee, aa, X[12], 7);
- GG(aa, bb, cc, dd, ee, X[ 0], 12);
- GG(ee, aa, bb, cc, dd, X[ 9], 15);
- GG(dd, ee, aa, bb, cc, X[ 5], 9);
- GG(cc, dd, ee, aa, bb, X[ 2], 11);
- GG(bb, cc, dd, ee, aa, X[14], 7);
- GG(aa, bb, cc, dd, ee, X[11], 13);
- GG(ee, aa, bb, cc, dd, X[ 8], 12);
-
- /* round 3 */
- HH(dd, ee, aa, bb, cc, X[ 3], 11);
- HH(cc, dd, ee, aa, bb, X[10], 13);
- HH(bb, cc, dd, ee, aa, X[14], 6);
- HH(aa, bb, cc, dd, ee, X[ 4], 7);
- HH(ee, aa, bb, cc, dd, X[ 9], 14);
- HH(dd, ee, aa, bb, cc, X[15], 9);
- HH(cc, dd, ee, aa, bb, X[ 8], 13);
- HH(bb, cc, dd, ee, aa, X[ 1], 15);
- HH(aa, bb, cc, dd, ee, X[ 2], 14);
- HH(ee, aa, bb, cc, dd, X[ 7], 8);
- HH(dd, ee, aa, bb, cc, X[ 0], 13);
- HH(cc, dd, ee, aa, bb, X[ 6], 6);
- HH(bb, cc, dd, ee, aa, X[13], 5);
- HH(aa, bb, cc, dd, ee, X[11], 12);
- HH(ee, aa, bb, cc, dd, X[ 5], 7);
- HH(dd, ee, aa, bb, cc, X[12], 5);
-
- /* round 4 */
- II(cc, dd, ee, aa, bb, X[ 1], 11);
- II(bb, cc, dd, ee, aa, X[ 9], 12);
- II(aa, bb, cc, dd, ee, X[11], 14);
- II(ee, aa, bb, cc, dd, X[10], 15);
- II(dd, ee, aa, bb, cc, X[ 0], 14);
- II(cc, dd, ee, aa, bb, X[ 8], 15);
- II(bb, cc, dd, ee, aa, X[12], 9);
- II(aa, bb, cc, dd, ee, X[ 4], 8);
- II(ee, aa, bb, cc, dd, X[13], 9);
- II(dd, ee, aa, bb, cc, X[ 3], 14);
- II(cc, dd, ee, aa, bb, X[ 7], 5);
- II(bb, cc, dd, ee, aa, X[15], 6);
- II(aa, bb, cc, dd, ee, X[14], 8);
- II(ee, aa, bb, cc, dd, X[ 5], 6);
- II(dd, ee, aa, bb, cc, X[ 6], 5);
- II(cc, dd, ee, aa, bb, X[ 2], 12);
-
- /* round 5 */
- JJ(bb, cc, dd, ee, aa, X[ 4], 9);
- JJ(aa, bb, cc, dd, ee, X[ 0], 15);
- JJ(ee, aa, bb, cc, dd, X[ 5], 5);
- JJ(dd, ee, aa, bb, cc, X[ 9], 11);
- JJ(cc, dd, ee, aa, bb, X[ 7], 6);
- JJ(bb, cc, dd, ee, aa, X[12], 8);
- JJ(aa, bb, cc, dd, ee, X[ 2], 13);
- JJ(ee, aa, bb, cc, dd, X[10], 12);
- JJ(dd, ee, aa, bb, cc, X[14], 5);
- JJ(cc, dd, ee, aa, bb, X[ 1], 12);
- JJ(bb, cc, dd, ee, aa, X[ 3], 13);
- JJ(aa, bb, cc, dd, ee, X[ 8], 14);
- JJ(ee, aa, bb, cc, dd, X[11], 11);
- JJ(dd, ee, aa, bb, cc, X[ 6], 8);
- JJ(cc, dd, ee, aa, bb, X[15], 5);
- JJ(bb, cc, dd, ee, aa, X[13], 6);
-
- /* parallel round 1 */
- JJJ(aaa, bbb, ccc, ddd, eee, X[ 5], 8);
- JJJ(eee, aaa, bbb, ccc, ddd, X[14], 9);
- JJJ(ddd, eee, aaa, bbb, ccc, X[ 7], 9);
- JJJ(ccc, ddd, eee, aaa, bbb, X[ 0], 11);
- JJJ(bbb, ccc, ddd, eee, aaa, X[ 9], 13);
- JJJ(aaa, bbb, ccc, ddd, eee, X[ 2], 15);
- JJJ(eee, aaa, bbb, ccc, ddd, X[11], 15);
- JJJ(ddd, eee, aaa, bbb, ccc, X[ 4], 5);
- JJJ(ccc, ddd, eee, aaa, bbb, X[13], 7);
- JJJ(bbb, ccc, ddd, eee, aaa, X[ 6], 7);
- JJJ(aaa, bbb, ccc, ddd, eee, X[15], 8);
- JJJ(eee, aaa, bbb, ccc, ddd, X[ 8], 11);
- JJJ(ddd, eee, aaa, bbb, ccc, X[ 1], 14);
- JJJ(ccc, ddd, eee, aaa, bbb, X[10], 14);
- JJJ(bbb, ccc, ddd, eee, aaa, X[ 3], 12);
- JJJ(aaa, bbb, ccc, ddd, eee, X[12], 6);
-
- /* parallel round 2 */
- III(eee, aaa, bbb, ccc, ddd, X[ 6], 9);
- III(ddd, eee, aaa, bbb, ccc, X[11], 13);
- III(ccc, ddd, eee, aaa, bbb, X[ 3], 15);
- III(bbb, ccc, ddd, eee, aaa, X[ 7], 7);
- III(aaa, bbb, ccc, ddd, eee, X[ 0], 12);
- III(eee, aaa, bbb, ccc, ddd, X[13], 8);
- III(ddd, eee, aaa, bbb, ccc, X[ 5], 9);
- III(ccc, ddd, eee, aaa, bbb, X[10], 11);
- III(bbb, ccc, ddd, eee, aaa, X[14], 7);
- III(aaa, bbb, ccc, ddd, eee, X[15], 7);
- III(eee, aaa, bbb, ccc, ddd, X[ 8], 12);
- III(ddd, eee, aaa, bbb, ccc, X[12], 7);
- III(ccc, ddd, eee, aaa, bbb, X[ 4], 6);
- III(bbb, ccc, ddd, eee, aaa, X[ 9], 15);
- III(aaa, bbb, ccc, ddd, eee, X[ 1], 13);
- III(eee, aaa, bbb, ccc, ddd, X[ 2], 11);
-
- /* parallel round 3 */
- HHH(ddd, eee, aaa, bbb, ccc, X[15], 9);
- HHH(ccc, ddd, eee, aaa, bbb, X[ 5], 7);
- HHH(bbb, ccc, ddd, eee, aaa, X[ 1], 15);
- HHH(aaa, bbb, ccc, ddd, eee, X[ 3], 11);
- HHH(eee, aaa, bbb, ccc, ddd, X[ 7], 8);
- HHH(ddd, eee, aaa, bbb, ccc, X[14], 6);
- HHH(ccc, ddd, eee, aaa, bbb, X[ 6], 6);
- HHH(bbb, ccc, ddd, eee, aaa, X[ 9], 14);
- HHH(aaa, bbb, ccc, ddd, eee, X[11], 12);
- HHH(eee, aaa, bbb, ccc, ddd, X[ 8], 13);
- HHH(ddd, eee, aaa, bbb, ccc, X[12], 5);
- HHH(ccc, ddd, eee, aaa, bbb, X[ 2], 14);
- HHH(bbb, ccc, ddd, eee, aaa, X[10], 13);
- HHH(aaa, bbb, ccc, ddd, eee, X[ 0], 13);
- HHH(eee, aaa, bbb, ccc, ddd, X[ 4], 7);
- HHH(ddd, eee, aaa, bbb, ccc, X[13], 5);
-
- /* parallel round 4 */
- GGG(ccc, ddd, eee, aaa, bbb, X[ 8], 15);
- GGG(bbb, ccc, ddd, eee, aaa, X[ 6], 5);
- GGG(aaa, bbb, ccc, ddd, eee, X[ 4], 8);
- GGG(eee, aaa, bbb, ccc, ddd, X[ 1], 11);
- GGG(ddd, eee, aaa, bbb, ccc, X[ 3], 14);
- GGG(ccc, ddd, eee, aaa, bbb, X[11], 14);
- GGG(bbb, ccc, ddd, eee, aaa, X[15], 6);
- GGG(aaa, bbb, ccc, ddd, eee, X[ 0], 14);
- GGG(eee, aaa, bbb, ccc, ddd, X[ 5], 6);
- GGG(ddd, eee, aaa, bbb, ccc, X[12], 9);
- GGG(ccc, ddd, eee, aaa, bbb, X[ 2], 12);
- GGG(bbb, ccc, ddd, eee, aaa, X[13], 9);
- GGG(aaa, bbb, ccc, ddd, eee, X[ 9], 12);
- GGG(eee, aaa, bbb, ccc, ddd, X[ 7], 5);
- GGG(ddd, eee, aaa, bbb, ccc, X[10], 15);
- GGG(ccc, ddd, eee, aaa, bbb, X[14], 8);
-
- /* parallel round 5 */
- FFF(bbb, ccc, ddd, eee, aaa, X[12] , 8);
- FFF(aaa, bbb, ccc, ddd, eee, X[15] , 5);
- FFF(eee, aaa, bbb, ccc, ddd, X[10] , 12);
- FFF(ddd, eee, aaa, bbb, ccc, X[ 4] , 9);
- FFF(ccc, ddd, eee, aaa, bbb, X[ 1] , 12);
- FFF(bbb, ccc, ddd, eee, aaa, X[ 5] , 5);
- FFF(aaa, bbb, ccc, ddd, eee, X[ 8] , 14);
- FFF(eee, aaa, bbb, ccc, ddd, X[ 7] , 6);
- FFF(ddd, eee, aaa, bbb, ccc, X[ 6] , 8);
- FFF(ccc, ddd, eee, aaa, bbb, X[ 2] , 13);
- FFF(bbb, ccc, ddd, eee, aaa, X[13] , 6);
- FFF(aaa, bbb, ccc, ddd, eee, X[14] , 5);
- FFF(eee, aaa, bbb, ccc, ddd, X[ 0] , 15);
- FFF(ddd, eee, aaa, bbb, ccc, X[ 3] , 13);
- FFF(ccc, ddd, eee, aaa, bbb, X[ 9] , 11);
- FFF(bbb, ccc, ddd, eee, aaa, X[11] , 11);
-
- /* combine results */
- ddd += cc + MDbuf[1]; /* final result for MDbuf[0] */
- MDbuf[1] = MDbuf[2] + dd + eee;
- MDbuf[2] = MDbuf[3] + ee + aaa;
- MDbuf[3] = MDbuf[4] + aa + bbb;
- MDbuf[4] = MDbuf[0] + bb + ccc;
- MDbuf[0] = ddd;
-
- return;
-}
-
-static void MDfinish(u32int *MDbuf, uchar *strptr, u32int lswlen, u32int mswlen)
-{
- unsigned int i; /* counter */
- u32int X[16]; /* message words */
-
- memset(X, 0, 16*sizeof(u32int));
-
- /* put bytes from strptr into X */
- for (i=0; i<(lswlen&63); i++) {
- /* byte i goes into word X[i div 4] at pos. 8*(i mod 4) */
- X[i>>2] ^= (u32int) *strptr++ << (8 * (i&3));
- }
-
- /* append the bit m_n == 1 */
- X[(lswlen>>2)&15] ^= (u32int)1 << (8*(lswlen&3) + 7);
-
- if ((lswlen & 63) > 55) {
- /* length goes to next block */
- compress(MDbuf, X);
- memset(X, 0, 16*sizeof(u32int));
- }
-
- /* append length in bits*/
- X[14] = lswlen << 3;
- X[15] = (lswlen >> 29) | (mswlen << 3);
- compress(MDbuf, X);
-
- return;
-}
-
-DigestState*
-ripemd160(uchar *p, ulong len, uchar *digest, DigestState *s)
-{
- u32int x[16];
- int i, j, k;
-
- if(s == nil){
- s = malloc(sizeof(*s));
- if(s == nil)
- return nil;
- memset(s, 0, sizeof(*s));
- s->malloced = 1;
- }
-
- if(s->seeded == 0){
- MDinit(s->state);
- s->seeded = 1;
- }
-
- /* fill out the partial 64 byte block from previous calls */
- if(s->blen){
- i = 64 - s->blen;
- if(len < i)
- i = len;
- memmove(s->buf + s->blen, p, i);
- len -= i;
- s->blen += i;
- p += i;
- if(s->blen == 64){
- for(i = 0; i < 16; i++)
- x[i] = BYTES_TO_DWORD(s->buf + i * 4);
- compress(s->state, x);
- s->len += s->blen;
- s->blen = 0;
- }
- }
-
- /* do 64 byte blocks */
- i = len & ~0x3f;
- if(i){
- for(j = 0; j < i; j += 64){
- for(k = 0; k < 16; k++)
- x[k] = BYTES_TO_DWORD(p + j + k * 4);
- compress(s->state, x);
- }
- s->len += i;
- len -= i;
- p += i;
- }
-
- /* save the left overs if not last call */
- if(digest == 0){
- if(len){
- memmove(s->buf, p, len);
- s->blen += len;
- }
- return s;
- }
-
- MDfinish(s->state, p, s->len + len, 0);
- for(i = 0; i < 5; i++){
- digest[4 * i] = s->state[i];
- digest[4 * i + 1] = s->state[i] >> 8;
- digest[4 * i + 2] = s->state[i] >> 16;
- digest[4 * i + 3] = s->state[i] >> 24;
-
- }
- if(s->malloced == 1)
- free(s);
- return nil;
-
-}
--- a/libsec/rsafill.c
+++ /dev/null
@@ -1,61 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-RSApriv*
-rsafill(mpint *n, mpint *e, mpint *d, mpint *p, mpint *q)
-{
- mpint *c2, *kq, *kp, *x;
- RSApriv *rsa;
-
- // make sure we're not being hoodwinked
- if(!probably_prime(p, 10) || !probably_prime(q, 10)){
- werrstr("rsafill: p or q not prime");
- return nil;
- }
- x = mpnew(0);
- mpmul(p, q, x);
- if(mpcmp(n, x) != 0){
- werrstr("rsafill: n != p*q");
- mpfree(x);
- return nil;
- }
- c2 = mpnew(0);
- mpsub(p, mpone, c2);
- mpsub(q, mpone, x);
- mpmul(c2, x, x);
- mpmul(e, d, c2);
- mpmod(c2, x, x);
- if(mpcmp(x, mpone) != 0){
- werrstr("rsafill: e*d != 1 mod (p-1)*(q-1)");
- mpfree(x);
- mpfree(c2);
- return nil;
- }
-
- // compute chinese remainder coefficient
- mpinvert(p, q, c2);
-
- // for crt a**k mod p == (a**(k mod p-1)) mod p
- kq = mpnew(0);
- kp = mpnew(0);
- mpsub(p, mpone, x);
- mpmod(d, x, kp);
- mpsub(q, mpone, x);
- mpmod(d, x, kq);
-
- rsa = rsaprivalloc();
- rsa->pub.ek = mpcopy(e);
- rsa->pub.n = mpcopy(n);
- rsa->dk = mpcopy(d);
- rsa->kp = kp;
- rsa->kq = kq;
- rsa->p = mpcopy(p);
- rsa->q = mpcopy(q);
- rsa->c2 = c2;
-
- mpfree(x);
-
- return rsa;
-}
-
--- a/libsec/rsagen.c
+++ /dev/null
@@ -1,76 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-RSApriv*
-rsagen(int nlen, int elen, int rounds)
-{
- mpint *p, *q, *e, *d, *phi, *n, *t1, *t2, *kp, *kq, *c2;
- RSApriv *rsa;
-
- p = mpnew(nlen/2);
- q = mpnew(nlen/2);
- n = mpnew(nlen);
- e = mpnew(elen);
- d = mpnew(0);
- phi = mpnew(nlen);
-
- // create the prime factors and euclid's function
- genprime(p, nlen/2, rounds);
- genprime(q, nlen - mpsignif(p) + 1, rounds);
- mpmul(p, q, n);
- mpsub(p, mpone, e);
- mpsub(q, mpone, d);
- mpmul(e, d, phi);
-
- // find an e relatively prime to phi
- t1 = mpnew(0);
- t2 = mpnew(0);
- if(elen == 0)
- itomp(65537, e);
- else {
- mprand(elen, genrandom, e);
- if(mpcmp(e,mptwo) <= 0)
- itomp(3, e);
- }
- // See Menezes et al. p.291 "8.8 Note (selecting primes)" for discussion
- // of the merits of various choices of primes and exponents. e=3 is a
- // common and recommended exponent, but doesn't necessarily work here
- // because we chose strong rather than safe primes.
- for(;;){
- mpextendedgcd(e, phi, t1, d, t2);
- if(mpcmp(t1, mpone) == 0)
- break;
- mpadd(mpone, e, e);
- }
- if(d->sign < 0)
- mpadd(phi, d, d);
- mpfree(t1);
- mpfree(t2);
-
- // compute chinese remainder coefficient
- c2 = mpnew(0);
- mpinvert(p, q, c2);
-
- // for crt a**k mod p == (a**(k mod p-1)) mod p
- kq = mpnew(0);
- kp = mpnew(0);
- mpsub(p, mpone, phi);
- mpmod(d, phi, kp);
- mpsub(q, mpone, phi);
- mpmod(d, phi, kq);
-
- rsa = rsaprivalloc();
- rsa->pub.ek = e;
- rsa->pub.n = n;
- rsa->dk = d;
- rsa->kp = kp;
- rsa->kq = kq;
- rsa->p = p;
- rsa->q = q;
- rsa->c2 = c2;
-
- mpfree(phi);
-
- return rsa;
-}
--- a/libsec/rsaprivtopub.c
+++ /dev/null
@@ -1,16 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-RSApub*
-rsaprivtopub(RSApriv *priv)
-{
- RSApub *pub;
-
- pub = rsapuballoc();
- if(pub == nil)
- return nil;
- pub->n = mpcopy(priv->pub.n);
- pub->ek = mpcopy(priv->pub.ek);
- return pub;
-}
--- a/libsec/rsatest.c
+++ /dev/null
@@ -1,56 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-#include <bio.h>
-
-void
-main(void)
-{
- int n;
- vlong start;
- char *p;
- uchar buf[4096];
- Biobuf b;
- RSApriv *rsa;
- mpint *clr, *enc, *clr2;
-
- fmtinstall('B', mpfmt);
-
- rsa = rsagen(1024, 16, 0);
- if(rsa == nil)
- sysfatal("rsagen");
- Binit(&b, 0, OREAD);
- clr = mpnew(0);
- clr2 = mpnew(0);
- enc = mpnew(0);
-
- strtomp("123456789abcdef123456789abcdef123456789abcdef123456789abcdef", nil, 16, clr);
- rsaencrypt(&rsa->pub, clr, enc);
-
- start = nsec();
- for(n = 0; n < 10; n++)
- rsadecrypt(rsa, enc, clr);
- print("%lld\n", nsec()-start);
-
- start = nsec();
- for(n = 0; n < 10; n++)
- mpexp(enc, rsa->dk, rsa->pub.n, clr2);
- print("%lld\n", nsec()-start);
-
- if(mpcmp(clr, clr2) != 0)
- print("%B != %B\n", clr, clr2);
-
- print("> ");
- while(p = Brdline(&b, '\n')){
- n = Blinelen(&b);
- letomp((uchar*)p, n, clr);
- print("clr %B\n", clr);
- rsaencrypt(&rsa->pub, clr, enc);
- print("enc %B\n", enc);
- rsadecrypt(rsa, enc, clr);
- print("clr %B\n", clr);
- n = mptole(clr, buf, sizeof(buf), nil);
- write(1, buf, n);
- print("> ");
- }
-}
--- a/libsec/salsa.c
+++ /dev/null
@@ -1,308 +1,0 @@
-#include "os.h"
-#include <libsec.h>
-
-/* little-endian data order */
-#define GET4(p) ((p)[0]|((p)[1]<<8)|((p)[2]<<16)|((p)[3]<<24))
-#define PUT4(p,v) (p)[0]=(v);(p)[1]=(v)>>8;(p)[2]=(v)>>16;(p)[3]=(v)>>24
-
-#define ROTATE(v,c) (t = v, (u32int)(t << (c)) | (t >> (32 - (c))))
-
-#define ENCRYPT(s, x, y, d) {\
- u32int v; \
- v = GET4(s); \
- v ^= (x)+(y); \
- PUT4(d, v); \
-}
-
-static uchar sigma[16] = "expand 32-byte k";
-static uchar tau[16] = "expand 16-byte k";
-
-static void
-load(u32int *d, uchar *s, int nw)
-{
- int i;
-
- for(i = 0; i < nw; i++, s+=4)
- d[i] = GET4(s);
-}
-
-void
-setupSalsastate(Salsastate *s, uchar *key, ulong keylen, uchar *iv, ulong ivlen, int rounds)
-{
- if(keylen != 256/8 && keylen != 128/8)
- sysfatal("invalid salsa key length");
- if(ivlen != 64/8
- && ivlen != 128/8 && ivlen != 192/8) /* hsalsa, xsalsa */
- sysfatal("invalid salsa iv length");
- if(rounds == 0)
- rounds = 20;
- s->rounds = rounds;
- if(keylen == 256/8) { /* recommended */
- load(&s->input[0], sigma+4*0, 1);
- load(&s->input[1], key +16*0, 4);
- load(&s->input[5], sigma+4*1, 1);
- load(&s->input[10], sigma+4*2, 1);
- load(&s->input[11], key +16*1, 4);
- load(&s->input[15], sigma+4*3, 1);
- }else{
- load(&s->input[0], tau +4*0, 1);
- load(&s->input[1], key, 4);
- load(&s->input[5], tau +4*1, 1);
- load(&s->input[10], tau +4*2, 1);
- load(&s->input[11], key, 4);
- load(&s->input[15], tau +4*3, 1);
- }
- s->xkey[0] = s->input[1];
- s->xkey[1] = s->input[2];
- s->xkey[2] = s->input[3];
- s->xkey[3] = s->input[4];
- s->xkey[4] = s->input[11];
- s->xkey[5] = s->input[12];
- s->xkey[6] = s->input[13];
- s->xkey[7] = s->input[14];
-
- s->ivwords = ivlen/4;
- s->input[8] = 0;
- s->input[9] = 0;
- if(iv == nil){
- s->input[6] = 0;
- s->input[7] = 0;
- }else
- salsa_setiv(s, iv);
-}
-
-static void
-dorounds(u32int x[16], int rounds)
-{
- u32int t;
-
- for(; rounds > 0; rounds -= 2) {
- x[4] ^= ROTATE( x[0]+x[12], 7);
- x[8] ^= ROTATE( x[4]+ x[0], 9);
- x[12] ^= ROTATE( x[8]+ x[4],13);
- x[0] ^= ROTATE(x[12]+ x[8],18);
- x[9] ^= ROTATE( x[5]+ x[1], 7);
- x[13] ^= ROTATE( x[9]+ x[5], 9);
- x[1] ^= ROTATE(x[13]+ x[9],13);
- x[5] ^= ROTATE( x[1]+x[13],18);
- x[14] ^= ROTATE(x[10]+ x[6], 7);
- x[2] ^= ROTATE(x[14]+x[10], 9);
- x[6] ^= ROTATE( x[2]+x[14],13);
- x[10] ^= ROTATE( x[6]+ x[2],18);
- x[3] ^= ROTATE(x[15]+x[11], 7);
- x[7] ^= ROTATE( x[3]+x[15], 9);
- x[11] ^= ROTATE( x[7]+ x[3],13);
- x[15] ^= ROTATE(x[11]+ x[7],18);
- x[1] ^= ROTATE( x[0]+ x[3], 7);
- x[2] ^= ROTATE( x[1]+ x[0], 9);
- x[3] ^= ROTATE( x[2]+ x[1],13);
- x[0] ^= ROTATE( x[3]+ x[2],18);
- x[6] ^= ROTATE( x[5]+ x[4], 7);
- x[7] ^= ROTATE( x[6]+ x[5], 9);
- x[4] ^= ROTATE( x[7]+ x[6],13);
- x[5] ^= ROTATE( x[4]+ x[7],18);
- x[11] ^= ROTATE(x[10]+ x[9], 7);
- x[8] ^= ROTATE(x[11]+x[10], 9);
- x[9] ^= ROTATE( x[8]+x[11],13);
- x[10] ^= ROTATE( x[9]+ x[8],18);
- x[12] ^= ROTATE(x[15]+x[14], 7);
- x[13] ^= ROTATE(x[12]+x[15], 9);
- x[14] ^= ROTATE(x[13]+x[12],13);
- x[15] ^= ROTATE(x[14]+x[13],18);
- }
-}
-
-static void
-hsalsablock(uchar h[32], Salsastate *s)
-{
- u32int x[16];
-
- x[0] = s->input[0];
- x[1] = s->input[1];
- x[2] = s->input[2];
- x[3] = s->input[3];
- x[4] = s->input[4];
- x[5] = s->input[5];
- x[6] = s->input[6];
- x[7] = s->input[7];
- x[8] = s->input[8];
- x[9] = s->input[9];
- x[10] = s->input[10];
- x[11] = s->input[11];
- x[12] = s->input[12];
- x[13] = s->input[13];
- x[14] = s->input[14];
- x[15] = s->input[15];
-
- dorounds(x, s->rounds);
-
- PUT4(h+0*4, x[0]);
- PUT4(h+1*4, x[5]);
- PUT4(h+2*4, x[10]);
- PUT4(h+3*4, x[15]);
- PUT4(h+4*4, x[6]);
- PUT4(h+5*4, x[7]);
- PUT4(h+6*4, x[8]);
- PUT4(h+7*4, x[9]);
-}
-
-void
-salsa_setiv(Salsastate *s, uchar *iv)
-{
- if(s->ivwords == 128/32){
- /* hsalsa with 128-bit iv */
- load(&s->input[6], iv, 4);
- return;
- }
- if(s->ivwords == 192/32){
- /* xsalsa with 192-bit iv */
- u32int counter[2];
- uchar h[32];
-
- counter[0] = s->input[8];
- counter[1] = s->input[9];
-
- s->input[1] = s->xkey[0];
- s->input[2] = s->xkey[1];
- s->input[3] = s->xkey[2];
- s->input[4] = s->xkey[3];
- s->input[11] = s->xkey[4];
- s->input[12] = s->xkey[5];
- s->input[13] = s->xkey[6];
- s->input[14] = s->xkey[7];
-
- load(&s->input[6], iv, 4);
-
- hsalsablock(h, s);
- load(&s->input[1], h+16*0, 4);
- load(&s->input[11], h+16*1, 4);
- memset(h, 0, 32);
-
- s->input[8] = counter[0];
- s->input[9] = counter[1];
-
- iv += 16;
- }
- /* 64-bit iv */
- load(&s->input[6], iv, 2);
-}
-
-void
-salsa_setblock(Salsastate *s, u64int blockno)
-{
- s->input[8] = blockno;
- s->input[9] = blockno>>32;
-}
-
-static void
-encryptblock(Salsastate *s, uchar *src, uchar *dst)
-{
- u32int x[16];
- int i;
-
- x[0] = s->input[0];
- x[1] = s->input[1];
- x[2] = s->input[2];
- x[3] = s->input[3];
- x[4] = s->input[4];
- x[5] = s->input[5];
- x[6] = s->input[6];
- x[7] = s->input[7];
- x[8] = s->input[8];
- x[9] = s->input[9];
- x[10] = s->input[10];
- x[11] = s->input[11];
- x[12] = s->input[12];
- x[13] = s->input[13];
- x[14] = s->input[14];
- x[15] = s->input[15];
-
- dorounds(x, s->rounds);
-
- for(i=0; i<nelem(x); i+=4){
- ENCRYPT(src, x[i], s->input[i], dst);
- ENCRYPT(src+4, x[i+1], s->input[i+1], dst+4);
- ENCRYPT(src+8, x[i+2], s->input[i+2], dst+8);
- ENCRYPT(src+12, x[i+3], s->input[i+3], dst+12);
- src += 16;
- dst += 16;
- }
-
- if(++s->input[8] == 0)
- s->input[9]++;
-}
-
-void
-salsa_encrypt2(uchar *src, uchar *dst, ulong bytes, Salsastate *s)
-{
- uchar tmp[SalsaBsize];
-
- for(; bytes >= SalsaBsize; bytes -= SalsaBsize){
- encryptblock(s, src, dst);
- src += SalsaBsize;
- dst += SalsaBsize;
- }
- if(bytes > 0){
- memmove(tmp, src, bytes);
- encryptblock(s, tmp, tmp);
- memmove(dst, tmp, bytes);
- }
-}
-
-void
-salsa_encrypt(uchar *buf, ulong bytes, Salsastate *s)
-{
- salsa_encrypt2(buf, buf, bytes, s);
-}
-
-void
-salsa_core(u32int in[16], u32int out[16], int rounds)
-{
- u32int x[16];
-
- x[0] = in[0];
- x[1] = in[1];
- x[2] = in[2];
- x[3] = in[3];
- x[4] = in[4];
- x[5] = in[5];
- x[6] = in[6];
- x[7] = in[7];
- x[8] = in[8];
- x[9] = in[9];
- x[10] = in[10];
- x[11] = in[11];
- x[12] = in[12];
- x[13] = in[13];
- x[14] = in[14];
- x[15] = in[15];
-
- dorounds(x, rounds);
-
- out[0] = x[0] + in[0];
- out[1] = x[1] + in[1];
- out[2] = x[2] + in[2];
- out[3] = x[3] + in[3];
- out[4] = x[4] + in[4];
- out[5] = x[5] + in[5];
- out[6] = x[6] + in[6];
- out[7] = x[7] + in[7];
- out[8] = x[8] + in[8];
- out[9] = x[9] + in[9];
- out[10] = x[10] + in[10];
- out[11] = x[11] + in[11];
- out[12] = x[12] + in[12];
- out[13] = x[13] + in[13];
- out[14] = x[14] + in[14];
- out[15] = x[15] + in[15];
-}
-
-void
-hsalsa(uchar h[32], uchar *key, ulong keylen, uchar nonce[16], int rounds)
-{
- Salsastate s[1];
-
- setupSalsastate(s, key, keylen, nonce, 16, rounds);
- hsalsablock(h, s);
- memset(s, 0, sizeof(s));
-}
--- a/libsec/scrypt.c
+++ /dev/null
@@ -1,119 +1,0 @@
-#include "os.h"
-#include <libsec.h>
-
-#define movw(w, S, D) memmove(D, S, (w)*4)
-
-static void
-xorw(ulong w, u32int *S, u32int *D)
-{
- for(w /= 8; w; w--, D += 8, S += 8){
- D[0] ^= S[0];
- D[1] ^= S[1];
- D[2] ^= S[2];
- D[3] ^= S[3];
- D[4] ^= S[4];
- D[5] ^= S[5];
- D[6] ^= S[6];
- D[7] ^= S[7];
- }
-}
-
-static void
-scryptBlockMix(ulong R, u32int *B, u32int *Y)
-{
- u32int X[16];
- ulong i;
-
- R *= 2;
- movw(16, &B[(R-1)*16], X);
- for(i = 0; i < R; i += 2){
- xorw(16, &B[i*16], X);
- salsa_core(X, X, 8);
- movw(16, X, &Y[i*8]);
-
- xorw(16, &B[(i+1)*16], X);
- salsa_core(X, X, 8);
- movw(16, X, &Y[i*8 + R*8]);
- }
-}
-
-static void
-scryptROMix(ulong R, ulong N, u32int *V, u32int *X, uchar *B)
-{
- ulong w, i, d;
- u32int *Y;
-
- w = R*32;
- for(i=0; i<w; i++, B+=4)
- X[i] = B[0] | (B[1]<<8) | (B[2]<<16) | (B[3]<<24);
-
- Y = &X[w];
- for(i=0; i<N; i += 2){
- movw(w, X, &V[i*w]);
- scryptBlockMix(R, X, Y);
-
- movw(w, Y, &V[(i+1)*w]);
- scryptBlockMix(R, Y, X);
- }
- for(i=0; i<N; i += 2){
- xorw(w, &V[(X[w-16] & (N-1))*w], X);
- scryptBlockMix(R, X, Y);
-
- xorw(w, &V[(Y[w-16] & (N-1))*w], Y);
- scryptBlockMix(R, Y, X);
- }
-
- B -= w*4;
- for(i=0; i<w; i++, B+=4)
- d = X[i], B[0]=d, B[1]=d>>8, B[2]=d>>16, B[3]=d>>24;
-}
-
-char*
-scrypt(p, plen, s, slen, N, R, P, d, dlen)
- ulong plen, slen, dlen, N, R, P;
- uchar *p, *s, *d;
-{
- static char oom[] = "out of memory";
-
- ulong rb, i;
- u32int *V, *X;
- uchar *B;
-
- if(P < 1)
- return "invalid parallelization parameter P";
- if(R < 1 || R >= (1UL<<(31-7))/P)
- return "invalid block size parameter R";
- if(N < 2 || (N & (N-1)) != 0 || N >= (1UL<<(31-7))/R)
- return "invalid cpu/memory cost parameter N";
-
- rb = R<<7;
- if((B = malloc(P*rb)) == nil)
- return oom;
- if((V = malloc(N*rb)) == nil){
- free(B);
- return oom;
- }
- if((X = malloc(2*rb)) == nil){
- free(V);
- free(B);
- return oom;
- }
-
- pbkdf2_x(p, plen, s, slen, 1, B, P*rb, hmac_sha2_256, SHA2_256dlen);
-
- for(i=0; i<P; i++)
- scryptROMix(R, N, V, X, &B[i*rb]);
-
- memset(X, 0, 2*rb);
- free(X);
-
- memset(V, 0, N*rb);
- free(V);
-
- pbkdf2_x(p, plen, B, P*rb, 1, d, dlen, hmac_sha2_256, SHA2_256dlen);
-
- memset(B, 0, P*rb);
- free(B);
-
- return nil;
-}
--- a/libsec/sha2test.c
+++ /dev/null
@@ -1,63 +1,0 @@
-#include <u.h>
-#include <libc.h>
-#include "libsec.h"
-
-char *tests[] = {
- "",
- "a",
- "abc",
- "message digest",
- "abcdefghijklmnopqrstuvwxyz",
- "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789",
- "123456789012345678901234567890123456789012345678901234567890"
- "12345678901234567890",
- "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq",
- "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhi"
- "jklmnoijklmnopjklmnopqklmnopqrlmnopqrsmnopqrstnopqrstu",
- 0
-};
-
-void
-main(void)
-{
- int i;
- char **pp;
- uchar *p;
- uchar digest[SHA2_512dlen];
-
- print("SHA2_224 tests:\n");
- for(pp = tests; *pp; pp++){
- p = (uchar*)*pp;
- sha2_224(p, strlen(*pp), digest, 0);
- for(i = 0; i < SHA2_224dlen; i++)
- print("%2.2ux", digest[i]);
- print("\n");
- }
-
- print("\nSHA256 tests:\n");
- for(pp = tests; *pp; pp++){
- p = (uchar*)*pp;
- sha2_256(p, strlen(*pp), digest, 0);
- for(i = 0; i < SHA2_256dlen; i++)
- print("%2.2ux", digest[i]);
- print("\n");
- }
-
- print("\nSHA384 tests:\n");
- for(pp = tests; *pp; pp++){
- p = (uchar*)*pp;
- sha2_384(p, strlen(*pp), digest, 0);
- for(i = 0; i < SHA2_384dlen; i++)
- print("%2.2ux", digest[i]);
- print("\n");
- }
-
- print("\nSHA512 tests:\n");
- for(pp = tests; *pp; pp++){
- p = (uchar*)*pp;
- sha2_512(p, strlen(*pp), digest, 0);
- for(i = 0; i < SHA2_512dlen; i++)
- print("%2.2ux", digest[i]);
- print("\n");
- }
-}
--- a/libsec/smallprimes.c
+++ /dev/null
@@ -1,1004 +1,0 @@
-#include "os.h"
-
-ulong smallprimes[1000] = {
- 2,
- 3,
- 5,
- 7,
- 11,
- 13,
- 17,
- 19,
- 23,
- 29,
- 31,
- 37,
- 41,
- 43,
- 47,
- 53,
- 59,
- 61,
- 67,
- 71,
- 73,
- 79,
- 83,
- 89,
- 97,
- 101,
- 103,
- 107,
- 109,
- 113,
- 127,
- 131,
- 137,
- 139,
- 149,
- 151,
- 157,
- 163,
- 167,
- 173,
- 179,
- 181,
- 191,
- 193,
- 197,
- 199,
- 211,
- 223,
- 227,
- 229,
- 233,
- 239,
- 241,
- 251,
- 257,
- 263,
- 269,
- 271,
- 277,
- 281,
- 283,
- 293,
- 307,
- 311,
- 313,
- 317,
- 331,
- 337,
- 347,
- 349,
- 353,
- 359,
- 367,
- 373,
- 379,
- 383,
- 389,
- 397,
- 401,
- 409,
- 419,
- 421,
- 431,
- 433,
- 439,
- 443,
- 449,
- 457,
- 461,
- 463,
- 467,
- 479,
- 487,
- 491,
- 499,
- 503,
- 509,
- 521,
- 523,
- 541,
- 547,
- 557,
- 563,
- 569,
- 571,
- 577,
- 587,
- 593,
- 599,
- 601,
- 607,
- 613,
- 617,
- 619,
- 631,
- 641,
- 643,
- 647,
- 653,
- 659,
- 661,
- 673,
- 677,
- 683,
- 691,
- 701,
- 709,
- 719,
- 727,
- 733,
- 739,
- 743,
- 751,
- 757,
- 761,
- 769,
- 773,
- 787,
- 797,
- 809,
- 811,
- 821,
- 823,
- 827,
- 829,
- 839,
- 853,
- 857,
- 859,
- 863,
- 877,
- 881,
- 883,
- 887,
- 907,
- 911,
- 919,
- 929,
- 937,
- 941,
- 947,
- 953,
- 967,
- 971,
- 977,
- 983,
- 991,
- 997,
- 1009,
- 1013,
- 1019,
- 1021,
- 1031,
- 1033,
- 1039,
- 1049,
- 1051,
- 1061,
- 1063,
- 1069,
- 1087,
- 1091,
- 1093,
- 1097,
- 1103,
- 1109,
- 1117,
- 1123,
- 1129,
- 1151,
- 1153,
- 1163,
- 1171,
- 1181,
- 1187,
- 1193,
- 1201,
- 1213,
- 1217,
- 1223,
- 1229,
- 1231,
- 1237,
- 1249,
- 1259,
- 1277,
- 1279,
- 1283,
- 1289,
- 1291,
- 1297,
- 1301,
- 1303,
- 1307,
- 1319,
- 1321,
- 1327,
- 1361,
- 1367,
- 1373,
- 1381,
- 1399,
- 1409,
- 1423,
- 1427,
- 1429,
- 1433,
- 1439,
- 1447,
- 1451,
- 1453,
- 1459,
- 1471,
- 1481,
- 1483,
- 1487,
- 1489,
- 1493,
- 1499,
- 1511,
- 1523,
- 1531,
- 1543,
- 1549,
- 1553,
- 1559,
- 1567,
- 1571,
- 1579,
- 1583,
- 1597,
- 1601,
- 1607,
- 1609,
- 1613,
- 1619,
- 1621,
- 1627,
- 1637,
- 1657,
- 1663,
- 1667,
- 1669,
- 1693,
- 1697,
- 1699,
- 1709,
- 1721,
- 1723,
- 1733,
- 1741,
- 1747,
- 1753,
- 1759,
- 1777,
- 1783,
- 1787,
- 1789,
- 1801,
- 1811,
- 1823,
- 1831,
- 1847,
- 1861,
- 1867,
- 1871,
- 1873,
- 1877,
- 1879,
- 1889,
- 1901,
- 1907,
- 1913,
- 1931,
- 1933,
- 1949,
- 1951,
- 1973,
- 1979,
- 1987,
- 1993,
- 1997,
- 1999,
- 2003,
- 2011,
- 2017,
- 2027,
- 2029,
- 2039,
- 2053,
- 2063,
- 2069,
- 2081,
- 2083,
- 2087,
- 2089,
- 2099,
- 2111,
- 2113,
- 2129,
- 2131,
- 2137,
- 2141,
- 2143,
- 2153,
- 2161,
- 2179,
- 2203,
- 2207,
- 2213,
- 2221,
- 2237,
- 2239,
- 2243,
- 2251,
- 2267,
- 2269,
- 2273,
- 2281,
- 2287,
- 2293,
- 2297,
- 2309,
- 2311,
- 2333,
- 2339,
- 2341,
- 2347,
- 2351,
- 2357,
- 2371,
- 2377,
- 2381,
- 2383,
- 2389,
- 2393,
- 2399,
- 2411,
- 2417,
- 2423,
- 2437,
- 2441,
- 2447,
- 2459,
- 2467,
- 2473,
- 2477,
- 2503,
- 2521,
- 2531,
- 2539,
- 2543,
- 2549,
- 2551,
- 2557,
- 2579,
- 2591,
- 2593,
- 2609,
- 2617,
- 2621,
- 2633,
- 2647,
- 2657,
- 2659,
- 2663,
- 2671,
- 2677,
- 2683,
- 2687,
- 2689,
- 2693,
- 2699,
- 2707,
- 2711,
- 2713,
- 2719,
- 2729,
- 2731,
- 2741,
- 2749,
- 2753,
- 2767,
- 2777,
- 2789,
- 2791,
- 2797,
- 2801,
- 2803,
- 2819,
- 2833,
- 2837,
- 2843,
- 2851,
- 2857,
- 2861,
- 2879,
- 2887,
- 2897,
- 2903,
- 2909,
- 2917,
- 2927,
- 2939,
- 2953,
- 2957,
- 2963,
- 2969,
- 2971,
- 2999,
- 3001,
- 3011,
- 3019,
- 3023,
- 3037,
- 3041,
- 3049,
- 3061,
- 3067,
- 3079,
- 3083,
- 3089,
- 3109,
- 3119,
- 3121,
- 3137,
- 3163,
- 3167,
- 3169,
- 3181,
- 3187,
- 3191,
- 3203,
- 3209,
- 3217,
- 3221,
- 3229,
- 3251,
- 3253,
- 3257,
- 3259,
- 3271,
- 3299,
- 3301,
- 3307,
- 3313,
- 3319,
- 3323,
- 3329,
- 3331,
- 3343,
- 3347,
- 3359,
- 3361,
- 3371,
- 3373,
- 3389,
- 3391,
- 3407,
- 3413,
- 3433,
- 3449,
- 3457,
- 3461,
- 3463,
- 3467,
- 3469,
- 3491,
- 3499,
- 3511,
- 3517,
- 3527,
- 3529,
- 3533,
- 3539,
- 3541,
- 3547,
- 3557,
- 3559,
- 3571,
- 3581,
- 3583,
- 3593,
- 3607,
- 3613,
- 3617,
- 3623,
- 3631,
- 3637,
- 3643,
- 3659,
- 3671,
- 3673,
- 3677,
- 3691,
- 3697,
- 3701,
- 3709,
- 3719,
- 3727,
- 3733,
- 3739,
- 3761,
- 3767,
- 3769,
- 3779,
- 3793,
- 3797,
- 3803,
- 3821,
- 3823,
- 3833,
- 3847,
- 3851,
- 3853,
- 3863,
- 3877,
- 3881,
- 3889,
- 3907,
- 3911,
- 3917,
- 3919,
- 3923,
- 3929,
- 3931,
- 3943,
- 3947,
- 3967,
- 3989,
- 4001,
- 4003,
- 4007,
- 4013,
- 4019,
- 4021,
- 4027,
- 4049,
- 4051,
- 4057,
- 4073,
- 4079,
- 4091,
- 4093,
- 4099,
- 4111,
- 4127,
- 4129,
- 4133,
- 4139,
- 4153,
- 4157,
- 4159,
- 4177,
- 4201,
- 4211,
- 4217,
- 4219,
- 4229,
- 4231,
- 4241,
- 4243,
- 4253,
- 4259,
- 4261,
- 4271,
- 4273,
- 4283,
- 4289,
- 4297,
- 4327,
- 4337,
- 4339,
- 4349,
- 4357,
- 4363,
- 4373,
- 4391,
- 4397,
- 4409,
- 4421,
- 4423,
- 4441,
- 4447,
- 4451,
- 4457,
- 4463,
- 4481,
- 4483,
- 4493,
- 4507,
- 4513,
- 4517,
- 4519,
- 4523,
- 4547,
- 4549,
- 4561,
- 4567,
- 4583,
- 4591,
- 4597,
- 4603,
- 4621,
- 4637,
- 4639,
- 4643,
- 4649,
- 4651,
- 4657,
- 4663,
- 4673,
- 4679,
- 4691,
- 4703,
- 4721,
- 4723,
- 4729,
- 4733,
- 4751,
- 4759,
- 4783,
- 4787,
- 4789,
- 4793,
- 4799,
- 4801,
- 4813,
- 4817,
- 4831,
- 4861,
- 4871,
- 4877,
- 4889,
- 4903,
- 4909,
- 4919,
- 4931,
- 4933,
- 4937,
- 4943,
- 4951,
- 4957,
- 4967,
- 4969,
- 4973,
- 4987,
- 4993,
- 4999,
- 5003,
- 5009,
- 5011,
- 5021,
- 5023,
- 5039,
- 5051,
- 5059,
- 5077,
- 5081,
- 5087,
- 5099,
- 5101,
- 5107,
- 5113,
- 5119,
- 5147,
- 5153,
- 5167,
- 5171,
- 5179,
- 5189,
- 5197,
- 5209,
- 5227,
- 5231,
- 5233,
- 5237,
- 5261,
- 5273,
- 5279,
- 5281,
- 5297,
- 5303,
- 5309,
- 5323,
- 5333,
- 5347,
- 5351,
- 5381,
- 5387,
- 5393,
- 5399,
- 5407,
- 5413,
- 5417,
- 5419,
- 5431,
- 5437,
- 5441,
- 5443,
- 5449,
- 5471,
- 5477,
- 5479,
- 5483,
- 5501,
- 5503,
- 5507,
- 5519,
- 5521,
- 5527,
- 5531,
- 5557,
- 5563,
- 5569,
- 5573,
- 5581,
- 5591,
- 5623,
- 5639,
- 5641,
- 5647,
- 5651,
- 5653,
- 5657,
- 5659,
- 5669,
- 5683,
- 5689,
- 5693,
- 5701,
- 5711,
- 5717,
- 5737,
- 5741,
- 5743,
- 5749,
- 5779,
- 5783,
- 5791,
- 5801,
- 5807,
- 5813,
- 5821,
- 5827,
- 5839,
- 5843,
- 5849,
- 5851,
- 5857,
- 5861,
- 5867,
- 5869,
- 5879,
- 5881,
- 5897,
- 5903,
- 5923,
- 5927,
- 5939,
- 5953,
- 5981,
- 5987,
- 6007,
- 6011,
- 6029,
- 6037,
- 6043,
- 6047,
- 6053,
- 6067,
- 6073,
- 6079,
- 6089,
- 6091,
- 6101,
- 6113,
- 6121,
- 6131,
- 6133,
- 6143,
- 6151,
- 6163,
- 6173,
- 6197,
- 6199,
- 6203,
- 6211,
- 6217,
- 6221,
- 6229,
- 6247,
- 6257,
- 6263,
- 6269,
- 6271,
- 6277,
- 6287,
- 6299,
- 6301,
- 6311,
- 6317,
- 6323,
- 6329,
- 6337,
- 6343,
- 6353,
- 6359,
- 6361,
- 6367,
- 6373,
- 6379,
- 6389,
- 6397,
- 6421,
- 6427,
- 6449,
- 6451,
- 6469,
- 6473,
- 6481,
- 6491,
- 6521,
- 6529,
- 6547,
- 6551,
- 6553,
- 6563,
- 6569,
- 6571,
- 6577,
- 6581,
- 6599,
- 6607,
- 6619,
- 6637,
- 6653,
- 6659,
- 6661,
- 6673,
- 6679,
- 6689,
- 6691,
- 6701,
- 6703,
- 6709,
- 6719,
- 6733,
- 6737,
- 6761,
- 6763,
- 6779,
- 6781,
- 6791,
- 6793,
- 6803,
- 6823,
- 6827,
- 6829,
- 6833,
- 6841,
- 6857,
- 6863,
- 6869,
- 6871,
- 6883,
- 6899,
- 6907,
- 6911,
- 6917,
- 6947,
- 6949,
- 6959,
- 6961,
- 6967,
- 6971,
- 6977,
- 6983,
- 6991,
- 6997,
- 7001,
- 7013,
- 7019,
- 7027,
- 7039,
- 7043,
- 7057,
- 7069,
- 7079,
- 7103,
- 7109,
- 7121,
- 7127,
- 7129,
- 7151,
- 7159,
- 7177,
- 7187,
- 7193,
- 7207,
- 7211,
- 7213,
- 7219,
- 7229,
- 7237,
- 7243,
- 7247,
- 7253,
- 7283,
- 7297,
- 7307,
- 7309,
- 7321,
- 7331,
- 7333,
- 7349,
- 7351,
- 7369,
- 7393,
- 7411,
- 7417,
- 7433,
- 7451,
- 7457,
- 7459,
- 7477,
- 7481,
- 7487,
- 7489,
- 7499,
- 7507,
- 7517,
- 7523,
- 7529,
- 7537,
- 7541,
- 7547,
- 7549,
- 7559,
- 7561,
- 7573,
- 7577,
- 7583,
- 7589,
- 7591,
- 7603,
- 7607,
- 7621,
- 7639,
- 7643,
- 7649,
- 7669,
- 7673,
- 7681,
- 7687,
- 7691,
- 7699,
- 7703,
- 7717,
- 7723,
- 7727,
- 7741,
- 7753,
- 7757,
- 7759,
- 7789,
- 7793,
- 7817,
- 7823,
- 7829,
- 7841,
- 7853,
- 7867,
- 7873,
- 7877,
- 7879,
- 7883,
- 7901,
- 7907,
- 7919,
-};
--- a/libsec/smallprimetest.c
+++ /dev/null
@@ -1,1039 +1,0 @@
-#include "os.h"
-#include <mp.h>
-#include <libsec.h>
-
-static ulong smallprimes[] = {
- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29,
- 31, 37, 41, 43, 47, 53, 59, 61, 67, 71,
- 73, 79, 83, 89, 97, 101, 103, 107, 109, 113,
- 127, 131, 137, 139, 149, 151, 157, 163, 167, 173,
- 179, 181, 191, 193, 197, 199, 211, 223, 227, 229,
- 233, 239, 241, 251, 257, 263, 269, 271, 277, 281,
- 283, 293, 307, 311, 313, 317, 331, 337, 347, 349,
- 353, 359, 367, 373, 379, 383, 389, 397, 401, 409,
- 419, 421, 431, 433, 439, 443, 449, 457, 461, 463,
- 467, 479, 487, 491, 499, 503, 509, 521, 523, 541,
- 547, 557, 563, 569, 571, 577, 587, 593, 599, 601,
- 607, 613, 617, 619, 631, 641, 643, 647, 653, 659,
- 661, 673, 677, 683, 691, 701, 709, 719, 727, 733,
- 739, 743, 751, 757, 761, 769, 773, 787, 797, 809,
- 811, 821, 823, 827, 829, 839, 853, 857, 859, 863,
- 877, 881, 883, 887, 907, 911, 919, 929, 937, 941,
- 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013,
- 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069,
- 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151,
- 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223,
- 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291,
- 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373,
- 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451,
- 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511,
- 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583,
- 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657,
- 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733,
- 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811,
- 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889,
- 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987,
- 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053,
- 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129,
- 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213,
- 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287,
- 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357,
- 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423,
- 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531,
- 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617,
- 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687,
- 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741,
- 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819,
- 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903,
- 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999,
- 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079,
- 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181,
- 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257,
- 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331,
- 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413,
- 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511,
- 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571,
- 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643,
- 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727,
- 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821,
- 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907,
- 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989,
- 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057,
- 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139,
- 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231,
- 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297,
- 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409,
- 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493,
- 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583,
- 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657,
- 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751,
- 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831,
- 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937,
- 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003,
- 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087,
- 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179,
- 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279,
- 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387,
- 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443,
- 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521,
- 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639,
- 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693,
- 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791,
- 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857,
- 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939,
- 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053,
- 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133,
- 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221,
- 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301,
- 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367,
- 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473,
- 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571,
- 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673,
- 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761,
- 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833,
- 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917,
- 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997,
- 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103,
- 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207,
- 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297,
- 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411,
- 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499,
- 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561,
- 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643,
- 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723,
- 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829,
- 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919,
- 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017,
- 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111,
- 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219,
- 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291,
- 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387,
- 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501,
- 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597,
- 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677,
- 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741,
- 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831,
- 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929,
- 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011,
- 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109,
- 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199,
- 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283,
- 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377,
- 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439,
- 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533,
- 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631,
- 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733,
- 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811,
- 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887,
- 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007,
- 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099,
- 10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177,
- 10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271,
- 10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343,
- 10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459,
- 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567,
- 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657,
- 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739,
- 10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859,
- 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949,
- 10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059,
- 11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149,
- 11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251,
- 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329,
- 11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443,
- 11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527,
- 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657,
- 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777,
- 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833,
- 11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933,
- 11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011,
- 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109,
- 12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211,
- 12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289,
- 12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401,
- 12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487,
- 12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553,
- 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641,
- 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739,
- 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829,
- 12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923,
- 12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007,
- 13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109,
- 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187,
- 13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309,
- 13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411,
- 13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499,
- 13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619,
- 13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 13693, 13697,
- 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 13781,
- 13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879,
- 13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967,
- 13997, 13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081,
- 14083, 14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197,
- 14207, 14221, 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323,
- 14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 14411, 14419,
- 14423, 14431, 14437, 14447, 14449, 14461, 14479, 14489, 14503, 14519,
- 14533, 14537, 14543, 14549, 14551, 14557, 14561, 14563, 14591, 14593,
- 14621, 14627, 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699,
- 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 14759, 14767,
- 14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 14851,
- 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947,
- 14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073,
- 15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149,
- 15161, 15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259,
- 15263, 15269, 15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319,
- 15329, 15331, 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401,
- 15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 15493, 15497,
- 15511, 15527, 15541, 15551, 15559, 15569, 15581, 15583, 15601, 15607,
- 15619, 15629, 15641, 15643, 15647, 15649, 15661, 15667, 15671, 15679,
- 15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773,
- 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 15881,
- 15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971,
- 15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069,
- 16073, 16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183,
- 16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267,
- 16273, 16301, 16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381,
- 16411, 16417, 16421, 16427, 16433, 16447, 16451, 16453, 16477, 16481,
- 16487, 16493, 16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603,
- 16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, 16673, 16691,
- 16693, 16699, 16703, 16729, 16741, 16747, 16759, 16763, 16787, 16811,
- 16823, 16829, 16831, 16843, 16871, 16879, 16883, 16889, 16901, 16903,
- 16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993,
- 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093,
- 17099, 17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191,
- 17203, 17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317,
- 17321, 17327, 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389,
- 17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467, 17471, 17477,
- 17483, 17489, 17491, 17497, 17509, 17519, 17539, 17551, 17569, 17573,
- 17579, 17581, 17597, 17599, 17609, 17623, 17627, 17657, 17659, 17669,
- 17681, 17683, 17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783,
- 17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, 17881, 17891,
- 17903, 17909, 17911, 17921, 17923, 17929, 17939, 17957, 17959, 17971,
- 17977, 17981, 17987, 17989, 18013, 18041, 18043, 18047, 18049, 18059,
- 18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143,
- 18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233,
- 18251, 18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313,
- 18329, 18341, 18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427,
- 18433, 18439, 18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517,
- 18521, 18523, 18539, 18541, 18553, 18583, 18587, 18593, 18617, 18637,
- 18661, 18671, 18679, 18691, 18701, 18713, 18719, 18731, 18743, 18749,
- 18757, 18773, 18787, 18793, 18797, 18803, 18839, 18859, 18869, 18899,
- 18911, 18913, 18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009,
- 19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 19087, 19121,
- 19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 19219,
- 19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309, 19319,
- 19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423,
- 19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477,
- 19483, 19489, 19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571,
- 19577, 19583, 19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699,
- 19709, 19717, 19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793,
- 19801, 19813, 19819, 19841, 19843, 19853, 19861, 19867, 19889, 19891,
- 19913, 19919, 19927, 19937, 19949, 19961, 19963, 19973, 19979, 19991,
- 19993, 19997, 20011, 20021, 20023, 20029, 20047, 20051, 20063, 20071,
- 20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149,
- 20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 20261,
- 20269, 20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357,
- 20359, 20369, 20389, 20393, 20399, 20407, 20411, 20431, 20441, 20443,
- 20477, 20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551,
- 20563, 20593, 20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693,
- 20707, 20717, 20719, 20731, 20743, 20747, 20749, 20753, 20759, 20771,
- 20773, 20789, 20807, 20809, 20849, 20857, 20873, 20879, 20887, 20897,
- 20899, 20903, 20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983,
- 21001, 21011, 21013, 21017, 21019, 21023, 21031, 21059, 21061, 21067,
- 21089, 21101, 21107, 21121, 21139, 21143, 21149, 21157, 21163, 21169,
- 21179, 21187, 21191, 21193, 21211, 21221, 21227, 21247, 21269, 21277,
- 21283, 21313, 21317, 21319, 21323, 21341, 21347, 21377, 21379, 21383,
- 21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491,
- 21493, 21499, 21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563,
- 21569, 21577, 21587, 21589, 21599, 21601, 21611, 21613, 21617, 21647,
- 21649, 21661, 21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751,
- 21757, 21767, 21773, 21787, 21799, 21803, 21817, 21821, 21839, 21841,
- 21851, 21859, 21863, 21871, 21881, 21893, 21911, 21929, 21937, 21943,
- 21961, 21977, 21991, 21997, 22003, 22013, 22027, 22031, 22037, 22039,
- 22051, 22063, 22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123,
- 22129, 22133, 22147, 22153, 22157, 22159, 22171, 22189, 22193, 22229,
- 22247, 22259, 22271, 22273, 22277, 22279, 22283, 22291, 22303, 22307,
- 22343, 22349, 22367, 22369, 22381, 22391, 22397, 22409, 22433, 22441,
- 22447, 22453, 22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543,
- 22549, 22567, 22571, 22573, 22613, 22619, 22621, 22637, 22639, 22643,
- 22651, 22669, 22679, 22691, 22697, 22699, 22709, 22717, 22721, 22727,
- 22739, 22741, 22751, 22769, 22777, 22783, 22787, 22807, 22811, 22817,
- 22853, 22859, 22861, 22871, 22877, 22901, 22907, 22921, 22937, 22943,
- 22961, 22963, 22973, 22993, 23003, 23011, 23017, 23021, 23027, 23029,
- 23039, 23041, 23053, 23057, 23059, 23063, 23071, 23081, 23087, 23099,
- 23117, 23131, 23143, 23159, 23167, 23173, 23189, 23197, 23201, 23203,
- 23209, 23227, 23251, 23269, 23279, 23291, 23293, 23297, 23311, 23321,
- 23327, 23333, 23339, 23357, 23369, 23371, 23399, 23417, 23431, 23447,
- 23459, 23473, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 23561,
- 23563, 23567, 23581, 23593, 23599, 23603, 23609, 23623, 23627, 23629,
- 23633, 23663, 23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743,
- 23747, 23753, 23761, 23767, 23773, 23789, 23801, 23813, 23819, 23827,
- 23831, 23833, 23857, 23869, 23873, 23879, 23887, 23893, 23899, 23909,
- 23911, 23917, 23929, 23957, 23971, 23977, 23981, 23993, 24001, 24007,
- 24019, 24023, 24029, 24043, 24049, 24061, 24071, 24077, 24083, 24091,
- 24097, 24103, 24107, 24109, 24113, 24121, 24133, 24137, 24151, 24169,
- 24179, 24181, 24197, 24203, 24223, 24229, 24239, 24247, 24251, 24281,
- 24317, 24329, 24337, 24359, 24371, 24373, 24379, 24391, 24407, 24413,
- 24419, 24421, 24439, 24443, 24469, 24473, 24481, 24499, 24509, 24517,
- 24527, 24533, 24547, 24551, 24571, 24593, 24611, 24623, 24631, 24659,
- 24671, 24677, 24683, 24691, 24697, 24709, 24733, 24749, 24763, 24767,
- 24781, 24793, 24799, 24809, 24821, 24841, 24847, 24851, 24859, 24877,
- 24889, 24907, 24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977,
- 24979, 24989, 25013, 25031, 25033, 25037, 25057, 25073, 25087, 25097,
- 25111, 25117, 25121, 25127, 25147, 25153, 25163, 25169, 25171, 25183,
- 25189, 25219, 25229, 25237, 25243, 25247, 25253, 25261, 25301, 25303,
- 25307, 25309, 25321, 25339, 25343, 25349, 25357, 25367, 25373, 25391,
- 25409, 25411, 25423, 25439, 25447, 25453, 25457, 25463, 25469, 25471,
- 25523, 25537, 25541, 25561, 25577, 25579, 25583, 25589, 25601, 25603,
- 25609, 25621, 25633, 25639, 25643, 25657, 25667, 25673, 25679, 25693,
- 25703, 25717, 25733, 25741, 25747, 25759, 25763, 25771, 25793, 25799,
- 25801, 25819, 25841, 25847, 25849, 25867, 25873, 25889, 25903, 25913,
- 25919, 25931, 25933, 25939, 25943, 25951, 25969, 25981, 25997, 25999,
- 26003, 26017, 26021, 26029, 26041, 26053, 26083, 26099, 26107, 26111,
- 26113, 26119, 26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203,
- 26209, 26227, 26237, 26249, 26251, 26261, 26263, 26267, 26293, 26297,
- 26309, 26317, 26321, 26339, 26347, 26357, 26371, 26387, 26393, 26399,
- 26407, 26417, 26423, 26431, 26437, 26449, 26459, 26479, 26489, 26497,
- 26501, 26513, 26539, 26557, 26561, 26573, 26591, 26597, 26627, 26633,
- 26641, 26647, 26669, 26681, 26683, 26687, 26693, 26699, 26701, 26711,
- 26713, 26717, 26723, 26729, 26731, 26737, 26759, 26777, 26783, 26801,
- 26813, 26821, 26833, 26839, 26849, 26861, 26863, 26879, 26881, 26891,
- 26893, 26903, 26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987,
- 26993, 27011, 27017, 27031, 27043, 27059, 27061, 27067, 27073, 27077,
- 27091, 27103, 27107, 27109, 27127, 27143, 27179, 27191, 27197, 27211,
- 27239, 27241, 27253, 27259, 27271, 27277, 27281, 27283, 27299, 27329,
- 27337, 27361, 27367, 27397, 27407, 27409, 27427, 27431, 27437, 27449,
- 27457, 27479, 27481, 27487, 27509, 27527, 27529, 27539, 27541, 27551,
- 27581, 27583, 27611, 27617, 27631, 27647, 27653, 27673, 27689, 27691,
- 27697, 27701, 27733, 27737, 27739, 27743, 27749, 27751, 27763, 27767,
- 27773, 27779, 27791, 27793, 27799, 27803, 27809, 27817, 27823, 27827,
- 27847, 27851, 27883, 27893, 27901, 27917, 27919, 27941, 27943, 27947,
- 27953, 27961, 27967, 27983, 27997, 28001, 28019, 28027, 28031, 28051,
- 28057, 28069, 28081, 28087, 28097, 28099, 28109, 28111, 28123, 28151,
- 28163, 28181, 28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283,
- 28289, 28297, 28307, 28309, 28319, 28349, 28351, 28387, 28393, 28403,
- 28409, 28411, 28429, 28433, 28439, 28447, 28463, 28477, 28493, 28499,
- 28513, 28517, 28537, 28541, 28547, 28549, 28559, 28571, 28573, 28579,
- 28591, 28597, 28603, 28607, 28619, 28621, 28627, 28631, 28643, 28649,
- 28657, 28661, 28663, 28669, 28687, 28697, 28703, 28711, 28723, 28729,
- 28751, 28753, 28759, 28771, 28789, 28793, 28807, 28813, 28817, 28837,
- 28843, 28859, 28867, 28871, 28879, 28901, 28909, 28921, 28927, 28933,
- 28949, 28961, 28979, 29009, 29017, 29021, 29023, 29027, 29033, 29059,
- 29063, 29077, 29101, 29123, 29129, 29131, 29137, 29147, 29153, 29167,
- 29173, 29179, 29191, 29201, 29207, 29209, 29221, 29231, 29243, 29251,
- 29269, 29287, 29297, 29303, 29311, 29327, 29333, 29339, 29347, 29363,
- 29383, 29387, 29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443,
- 29453, 29473, 29483, 29501, 29527, 29531, 29537, 29567, 29569, 29573,
- 29581, 29587, 29599, 29611, 29629, 29633, 29641, 29663, 29669, 29671,
- 29683, 29717, 29723, 29741, 29753, 29759, 29761, 29789, 29803, 29819,
- 29833, 29837, 29851, 29863, 29867, 29873, 29879, 29881, 29917, 29921,
- 29927, 29947, 29959, 29983, 29989, 30011, 30013, 30029, 30047, 30059,
- 30071, 30089, 30091, 30097, 30103, 30109, 30113, 30119, 30133, 30137,
- 30139, 30161, 30169, 30181, 30187, 30197, 30203, 30211, 30223, 30241,
- 30253, 30259, 30269, 30271, 30293, 30307, 30313, 30319, 30323, 30341,
- 30347, 30367, 30389, 30391, 30403, 30427, 30431, 30449, 30467, 30469,
- 30491, 30493, 30497, 30509, 30517, 30529, 30539, 30553, 30557, 30559,
- 30577, 30593, 30631, 30637, 30643, 30649, 30661, 30671, 30677, 30689,
- 30697, 30703, 30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803,
- 30809, 30817, 30829, 30839, 30841, 30851, 30853, 30859, 30869, 30871,
- 30881, 30893, 30911, 30931, 30937, 30941, 30949, 30971, 30977, 30983,
- 31013, 31019, 31033, 31039, 31051, 31063, 31069, 31079, 31081, 31091,
- 31121, 31123, 31139, 31147, 31151, 31153, 31159, 31177, 31181, 31183,
- 31189, 31193, 31219, 31223, 31231, 31237, 31247, 31249, 31253, 31259,
- 31267, 31271, 31277, 31307, 31319, 31321, 31327, 31333, 31337, 31357,
- 31379, 31387, 31391, 31393, 31397, 31469, 31477, 31481, 31489, 31511,
- 31513, 31517, 31531, 31541, 31543, 31547, 31567, 31573, 31583, 31601,
- 31607, 31627, 31643, 31649, 31657, 31663, 31667, 31687, 31699, 31721,
- 31723, 31727, 31729, 31741, 31751, 31769, 31771, 31793, 31799, 31817,
- 31847, 31849, 31859, 31873, 31883, 31891, 31907, 31957, 31963, 31973,
- 31981, 31991, 32003, 32009, 32027, 32029, 32051, 32057, 32059, 32063,
- 32069, 32077, 32083, 32089, 32099, 32117, 32119, 32141, 32143, 32159,
- 32173, 32183, 32189, 32191, 32203, 32213, 32233, 32237, 32251, 32257,
- 32261, 32297, 32299, 32303, 32309, 32321, 32323, 32327, 32341, 32353,
- 32359, 32363, 32369, 32371, 32377, 32381, 32401, 32411, 32413, 32423,
- 32429, 32441, 32443, 32467, 32479, 32491, 32497, 32503, 32507, 32531,
- 32533, 32537, 32561, 32563, 32569, 32573, 32579, 32587, 32603, 32609,
- 32611, 32621, 32633, 32647, 32653, 32687, 32693, 32707, 32713, 32717,
- 32719, 32749, 32771, 32779, 32783, 32789, 32797, 32801, 32803, 32831,
- 32833, 32839, 32843, 32869, 32887, 32909, 32911, 32917, 32933, 32939,
- 32941, 32957, 32969, 32971, 32983, 32987, 32993, 32999, 33013, 33023,
- 33029, 33037, 33049, 33053, 33071, 33073, 33083, 33091, 33107, 33113,
- 33119, 33149, 33151, 33161, 33179, 33181, 33191, 33199, 33203, 33211,
- 33223, 33247, 33287, 33289, 33301, 33311, 33317, 33329, 33331, 33343,
- 33347, 33349, 33353, 33359, 33377, 33391, 33403, 33409, 33413, 33427,
- 33457, 33461, 33469, 33479, 33487, 33493, 33503, 33521, 33529, 33533,
- 33547, 33563, 33569, 33577, 33581, 33587, 33589, 33599, 33601, 33613,
- 33617, 33619, 33623, 33629, 33637, 33641, 33647, 33679, 33703, 33713,
- 33721, 33739, 33749, 33751, 33757, 33767, 33769, 33773, 33791, 33797,
- 33809, 33811, 33827, 33829, 33851, 33857, 33863, 33871, 33889, 33893,
- 33911, 33923, 33931, 33937, 33941, 33961, 33967, 33997, 34019, 34031,
- 34033, 34039, 34057, 34061, 34123, 34127, 34129, 34141, 34147, 34157,
- 34159, 34171, 34183, 34211, 34213, 34217, 34231, 34253, 34259, 34261,
- 34267, 34273, 34283, 34297, 34301, 34303, 34313, 34319, 34327, 34337,
- 34351, 34361, 34367, 34369, 34381, 34403, 34421, 34429, 34439, 34457,
- 34469, 34471, 34483, 34487, 34499, 34501, 34511, 34513, 34519, 34537,
- 34543, 34549, 34583, 34589, 34591, 34603, 34607, 34613, 34631, 34649,
- 34651, 34667, 34673, 34679, 34687, 34693, 34703, 34721, 34729, 34739,
- 34747, 34757, 34759, 34763, 34781, 34807, 34819, 34841, 34843, 34847,
- 34849, 34871, 34877, 34883, 34897, 34913, 34919, 34939, 34949, 34961,
- 34963, 34981, 35023, 35027, 35051, 35053, 35059, 35069, 35081, 35083,
- 35089, 35099, 35107, 35111, 35117, 35129, 35141, 35149, 35153, 35159,
- 35171, 35201, 35221, 35227, 35251, 35257, 35267, 35279, 35281, 35291,
- 35311, 35317, 35323, 35327, 35339, 35353, 35363, 35381, 35393, 35401,
- 35407, 35419, 35423, 35437, 35447, 35449, 35461, 35491, 35507, 35509,
- 35521, 35527, 35531, 35533, 35537, 35543, 35569, 35573, 35591, 35593,
- 35597, 35603, 35617, 35671, 35677, 35729, 35731, 35747, 35753, 35759,
- 35771, 35797, 35801, 35803, 35809, 35831, 35837, 35839, 35851, 35863,
- 35869, 35879, 35897, 35899, 35911, 35923, 35933, 35951, 35963, 35969,
- 35977, 35983, 35993, 35999, 36007, 36011, 36013, 36017, 36037, 36061,
- 36067, 36073, 36083, 36097, 36107, 36109, 36131, 36137, 36151, 36161,
- 36187, 36191, 36209, 36217, 36229, 36241, 36251, 36263, 36269, 36277,
- 36293, 36299, 36307, 36313, 36319, 36341, 36343, 36353, 36373, 36383,
- 36389, 36433, 36451, 36457, 36467, 36469, 36473, 36479, 36493, 36497,
- 36523, 36527, 36529, 36541, 36551, 36559, 36563, 36571, 36583, 36587,
- 36599, 36607, 36629, 36637, 36643, 36653, 36671, 36677, 36683, 36691,
- 36697, 36709, 36713, 36721, 36739, 36749, 36761, 36767, 36779, 36781,
- 36787, 36791, 36793, 36809, 36821, 36833, 36847, 36857, 36871, 36877,
- 36887, 36899, 36901, 36913, 36919, 36923, 36929, 36931, 36943, 36947,
- 36973, 36979, 36997, 37003, 37013, 37019, 37021, 37039, 37049, 37057,
- 37061, 37087, 37097, 37117, 37123, 37139, 37159, 37171, 37181, 37189,
- 37199, 37201, 37217, 37223, 37243, 37253, 37273, 37277, 37307, 37309,
- 37313, 37321, 37337, 37339, 37357, 37361, 37363, 37369, 37379, 37397,
- 37409, 37423, 37441, 37447, 37463, 37483, 37489, 37493, 37501, 37507,
- 37511, 37517, 37529, 37537, 37547, 37549, 37561, 37567, 37571, 37573,
- 37579, 37589, 37591, 37607, 37619, 37633, 37643, 37649, 37657, 37663,
- 37691, 37693, 37699, 37717, 37747, 37781, 37783, 37799, 37811, 37813,
- 37831, 37847, 37853, 37861, 37871, 37879, 37889, 37897, 37907, 37951,
- 37957, 37963, 37967, 37987, 37991, 37993, 37997, 38011, 38039, 38047,
- 38053, 38069, 38083, 38113, 38119, 38149, 38153, 38167, 38177, 38183,
- 38189, 38197, 38201, 38219, 38231, 38237, 38239, 38261, 38273, 38281,
- 38287, 38299, 38303, 38317, 38321, 38327, 38329, 38333, 38351, 38371,
- 38377, 38393, 38431, 38447, 38449, 38453, 38459, 38461, 38501, 38543,
- 38557, 38561, 38567, 38569, 38593, 38603, 38609, 38611, 38629, 38639,
- 38651, 38653, 38669, 38671, 38677, 38693, 38699, 38707, 38711, 38713,
- 38723, 38729, 38737, 38747, 38749, 38767, 38783, 38791, 38803, 38821,
- 38833, 38839, 38851, 38861, 38867, 38873, 38891, 38903, 38917, 38921,
- 38923, 38933, 38953, 38959, 38971, 38977, 38993, 39019, 39023, 39041,
- 39043, 39047, 39079, 39089, 39097, 39103, 39107, 39113, 39119, 39133,
- 39139, 39157, 39161, 39163, 39181, 39191, 39199, 39209, 39217, 39227,
- 39229, 39233, 39239, 39241, 39251, 39293, 39301, 39313, 39317, 39323,
- 39341, 39343, 39359, 39367, 39371, 39373, 39383, 39397, 39409, 39419,
- 39439, 39443, 39451, 39461, 39499, 39503, 39509, 39511, 39521, 39541,
- 39551, 39563, 39569, 39581, 39607, 39619, 39623, 39631, 39659, 39667,
- 39671, 39679, 39703, 39709, 39719, 39727, 39733, 39749, 39761, 39769,
- 39779, 39791, 39799, 39821, 39827, 39829, 39839, 39841, 39847, 39857,
- 39863, 39869, 39877, 39883, 39887, 39901, 39929, 39937, 39953, 39971,
- 39979, 39983, 39989, 40009, 40013, 40031, 40037, 40039, 40063, 40087,
- 40093, 40099, 40111, 40123, 40127, 40129, 40151, 40153, 40163, 40169,
- 40177, 40189, 40193, 40213, 40231, 40237, 40241, 40253, 40277, 40283,
- 40289, 40343, 40351, 40357, 40361, 40387, 40423, 40427, 40429, 40433,
- 40459, 40471, 40483, 40487, 40493, 40499, 40507, 40519, 40529, 40531,
- 40543, 40559, 40577, 40583, 40591, 40597, 40609, 40627, 40637, 40639,
- 40693, 40697, 40699, 40709, 40739, 40751, 40759, 40763, 40771, 40787,
- 40801, 40813, 40819, 40823, 40829, 40841, 40847, 40849, 40853, 40867,
- 40879, 40883, 40897, 40903, 40927, 40933, 40939, 40949, 40961, 40973,
- 40993, 41011, 41017, 41023, 41039, 41047, 41051, 41057, 41077, 41081,
- 41113, 41117, 41131, 41141, 41143, 41149, 41161, 41177, 41179, 41183,
- 41189, 41201, 41203, 41213, 41221, 41227, 41231, 41233, 41243, 41257,
- 41263, 41269, 41281, 41299, 41333, 41341, 41351, 41357, 41381, 41387,
- 41389, 41399, 41411, 41413, 41443, 41453, 41467, 41479, 41491, 41507,
- 41513, 41519, 41521, 41539, 41543, 41549, 41579, 41593, 41597, 41603,
- 41609, 41611, 41617, 41621, 41627, 41641, 41647, 41651, 41659, 41669,
- 41681, 41687, 41719, 41729, 41737, 41759, 41761, 41771, 41777, 41801,
- 41809, 41813, 41843, 41849, 41851, 41863, 41879, 41887, 41893, 41897,
- 41903, 41911, 41927, 41941, 41947, 41953, 41957, 41959, 41969, 41981,
- 41983, 41999, 42013, 42017, 42019, 42023, 42043, 42061, 42071, 42073,
- 42083, 42089, 42101, 42131, 42139, 42157, 42169, 42179, 42181, 42187,
- 42193, 42197, 42209, 42221, 42223, 42227, 42239, 42257, 42281, 42283,
- 42293, 42299, 42307, 42323, 42331, 42337, 42349, 42359, 42373, 42379,
- 42391, 42397, 42403, 42407, 42409, 42433, 42437, 42443, 42451, 42457,
- 42461, 42463, 42467, 42473, 42487, 42491, 42499, 42509, 42533, 42557,
- 42569, 42571, 42577, 42589, 42611, 42641, 42643, 42649, 42667, 42677,
- 42683, 42689, 42697, 42701, 42703, 42709, 42719, 42727, 42737, 42743,
- 42751, 42767, 42773, 42787, 42793, 42797, 42821, 42829, 42839, 42841,
- 42853, 42859, 42863, 42899, 42901, 42923, 42929, 42937, 42943, 42953,
- 42961, 42967, 42979, 42989, 43003, 43013, 43019, 43037, 43049, 43051,
- 43063, 43067, 43093, 43103, 43117, 43133, 43151, 43159, 43177, 43189,
- 43201, 43207, 43223, 43237, 43261, 43271, 43283, 43291, 43313, 43319,
- 43321, 43331, 43391, 43397, 43399, 43403, 43411, 43427, 43441, 43451,
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- 43787, 43789, 43793, 43801, 43853, 43867, 43889, 43891, 43913, 43933,
- 43943, 43951, 43961, 43963, 43969, 43973, 43987, 43991, 43997, 44017,
- 44021, 44027, 44029, 44041, 44053, 44059, 44071, 44087, 44089, 44101,
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- 45317, 45319, 45329, 45337, 45341, 45343, 45361, 45377, 45389, 45403,
- 45413, 45427, 45433, 45439, 45481, 45491, 45497, 45503, 45523, 45533,
- 45541, 45553, 45557, 45569, 45587, 45589, 45599, 45613, 45631, 45641,
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- 45863, 45869, 45887, 45893, 45943, 45949, 45953, 45959, 45971, 45979,
- 45989, 46021, 46027, 46049, 46051, 46061, 46073, 46091, 46093, 46099,
- 46103, 46133, 46141, 46147, 46153, 46171, 46181, 46183, 46187, 46199,
- 46219, 46229, 46237, 46261, 46271, 46273, 46279, 46301, 46307, 46309,
- 46327, 46337, 46349, 46351, 46381, 46399, 46411, 46439, 46441, 46447,
- 46451, 46457, 46471, 46477, 46489, 46499, 46507, 46511, 46523, 46549,
- 46559, 46567, 46573, 46589, 46591, 46601, 46619, 46633, 46639, 46643,
- 46649, 46663, 46679, 46681, 46687, 46691, 46703, 46723, 46727, 46747,
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- 46853, 46861, 46867, 46877, 46889, 46901, 46919, 46933, 46957, 46993,
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- 47123, 47129, 47137, 47143, 47147, 47149, 47161, 47189, 47207, 47221,
- 47237, 47251, 47269, 47279, 47287, 47293, 47297, 47303, 47309, 47317,
- 47339, 47351, 47353, 47363, 47381, 47387, 47389, 47407, 47417, 47419,
- 47431, 47441, 47459, 47491, 47497, 47501, 47507, 47513, 47521, 47527,
- 47533, 47543, 47563, 47569, 47581, 47591, 47599, 47609, 47623, 47629,
- 47639, 47653, 47657, 47659, 47681, 47699, 47701, 47711, 47713, 47717,
- 47737, 47741, 47743, 47777, 47779, 47791, 47797, 47807, 47809, 47819,
- 47837, 47843, 47857, 47869, 47881, 47903, 47911, 47917, 47933, 47939,
- 47947, 47951, 47963, 47969, 47977, 47981, 48017, 48023, 48029, 48049,
- 48073, 48079, 48091, 48109, 48119, 48121, 48131, 48157, 48163, 48179,
- 48187, 48193, 48197, 48221, 48239, 48247, 48259, 48271, 48281, 48299,
- 48311, 48313, 48337, 48341, 48353, 48371, 48383, 48397, 48407, 48409,
- 48413, 48437, 48449, 48463, 48473, 48479, 48481, 48487, 48491, 48497,
- 48523, 48527, 48533, 48539, 48541, 48563, 48571, 48589, 48593, 48611,
- 48619, 48623, 48647, 48649, 48661, 48673, 48677, 48679, 48731, 48733,
- 48751, 48757, 48761, 48767, 48779, 48781, 48787, 48799, 48809, 48817,
- 48821, 48823, 48847, 48857, 48859, 48869, 48871, 48883, 48889, 48907,
- 48947, 48953, 48973, 48989, 48991, 49003, 49009, 49019, 49031, 49033,
- 49037, 49043, 49057, 49069, 49081, 49103, 49109, 49117, 49121, 49123,
- 49139, 49157, 49169, 49171, 49177, 49193, 49199, 49201, 49207, 49211,
- 49223, 49253, 49261, 49277, 49279, 49297, 49307, 49331, 49333, 49339,
- 49363, 49367, 49369, 49391, 49393, 49409, 49411, 49417, 49429, 49433,
- 49451, 49459, 49463, 49477, 49481, 49499, 49523, 49529, 49531, 49537,
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- 49783, 49787, 49789, 49801, 49807, 49811, 49823, 49831, 49843, 49853,
- 49871, 49877, 49891, 49919, 49921, 49927, 49937, 49939, 49943, 49957,
- 49991, 49993, 49999, 50021, 50023, 50033, 50047, 50051, 50053, 50069,
- 50077, 50087, 50093, 50101, 50111, 50119, 50123, 50129, 50131, 50147,
- 50153, 50159, 50177, 50207, 50221, 50227, 50231, 50261, 50263, 50273,
- 50287, 50291, 50311, 50321, 50329, 50333, 50341, 50359, 50363, 50377,
- 50383, 50387, 50411, 50417, 50423, 50441, 50459, 50461, 50497, 50503,
- 50513, 50527, 50539, 50543, 50549, 50551, 50581, 50587, 50591, 50593,
- 50599, 50627, 50647, 50651, 50671, 50683, 50707, 50723, 50741, 50753,
- 50767, 50773, 50777, 50789, 50821, 50833, 50839, 50849, 50857, 50867,
- 50873, 50891, 50893, 50909, 50923, 50929, 50951, 50957, 50969, 50971,
- 50989, 50993, 51001, 51031, 51043, 51047, 51059, 51061, 51071, 51109,
- 51131, 51133, 51137, 51151, 51157, 51169, 51193, 51197, 51199, 51203,
- 51217, 51229, 51239, 51241, 51257, 51263, 51283, 51287, 51307, 51329,
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- 51817, 51827, 51829, 51839, 51853, 51859, 51869, 51871, 51893, 51899,
- 51907, 51913, 51929, 51941, 51949, 51971, 51973, 51977, 51991, 52009,
- 52021, 52027, 52051, 52057, 52067, 52069, 52081, 52103, 52121, 52127,
- 52147, 52153, 52163, 52177, 52181, 52183, 52189, 52201, 52223, 52237,
- 52249, 52253, 52259, 52267, 52289, 52291, 52301, 52313, 52321, 52361,
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- 52511, 52517, 52529, 52541, 52543, 52553, 52561, 52567, 52571, 52579,
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- 91309, 91331, 91367, 91369, 91373, 91381, 91387, 91393, 91397, 91411,
- 91423, 91433, 91453, 91457, 91459, 91463, 91493, 91499, 91513, 91529,
- 91541, 91571, 91573, 91577, 91583, 91591, 91621, 91631, 91639, 91673,
- 91691, 91703, 91711, 91733, 91753, 91757, 91771, 91781, 91801, 91807,
- 91811, 91813, 91823, 91837, 91841, 91867, 91873, 91909, 91921, 91939,
- 91943, 91951, 91957, 91961, 91967, 91969, 91997, 92003, 92009, 92033,
- 92041, 92051, 92077, 92083, 92107, 92111, 92119, 92143, 92153, 92173,
- 92177, 92179, 92189, 92203, 92219, 92221, 92227, 92233, 92237, 92243,
- 92251, 92269, 92297, 92311, 92317, 92333, 92347, 92353, 92357, 92363,
- 92369, 92377, 92381, 92383, 92387, 92399, 92401, 92413, 92419, 92431,
- 92459, 92461, 92467, 92479, 92489, 92503, 92507, 92551, 92557, 92567,
- 92569, 92581, 92593, 92623, 92627, 92639, 92641, 92647, 92657, 92669,
- 92671, 92681, 92683, 92693, 92699, 92707, 92717, 92723, 92737, 92753,
- 92761, 92767, 92779, 92789, 92791, 92801, 92809, 92821, 92831, 92849,
- 92857, 92861, 92863, 92867, 92893, 92899, 92921, 92927, 92941, 92951,
- 92957, 92959, 92987, 92993, 93001, 93047, 93053, 93059, 93077, 93083,
- 93089, 93097, 93103, 93113, 93131, 93133, 93139, 93151, 93169, 93179,
- 93187, 93199, 93229, 93239, 93241, 93251, 93253, 93257, 93263, 93281,
- 93283, 93287, 93307, 93319, 93323, 93329, 93337, 93371, 93377, 93383,
- 93407, 93419, 93427, 93463, 93479, 93481, 93487, 93491, 93493, 93497,
- 93503, 93523, 93529, 93553, 93557, 93559, 93563, 93581, 93601, 93607,
- 93629, 93637, 93683, 93701, 93703, 93719, 93739, 93761, 93763, 93787,
- 93809, 93811, 93827, 93851, 93871, 93887, 93889, 93893, 93901, 93911,
- 93913, 93923, 93937, 93941, 93949, 93967, 93971, 93979, 93983, 93997,
- 94007, 94009, 94033, 94049, 94057, 94063, 94079, 94099, 94109, 94111,
- 94117, 94121, 94151, 94153, 94169, 94201, 94207, 94219, 94229, 94253,
- 94261, 94273, 94291, 94307, 94309, 94321, 94327, 94331, 94343, 94349,
- 94351, 94379, 94397, 94399, 94421, 94427, 94433, 94439, 94441, 94447,
- 94463, 94477, 94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559,
- 94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649, 94651, 94687,
- 94693, 94709, 94723, 94727, 94747, 94771, 94777, 94781, 94789, 94793,
- 94811, 94819, 94823, 94837, 94841, 94847, 94849, 94873, 94889, 94903,
- 94907, 94933, 94949, 94951, 94961, 94993, 94999, 95003, 95009, 95021,
- 95027, 95063, 95071, 95083, 95087, 95089, 95093, 95101, 95107, 95111,
- 95131, 95143, 95153, 95177, 95189, 95191, 95203, 95213, 95219, 95231,
- 95233, 95239, 95257, 95261, 95267, 95273, 95279, 95287, 95311, 95317,
- 95327, 95339, 95369, 95383, 95393, 95401, 95413, 95419, 95429, 95441,
- 95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527, 95531, 95539,
- 95549, 95561, 95569, 95581, 95597, 95603, 95617, 95621, 95629, 95633,
- 95651, 95701, 95707, 95713, 95717, 95723, 95731, 95737, 95747, 95773,
- 95783, 95789, 95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873,
- 95881, 95891, 95911, 95917, 95923, 95929, 95947, 95957, 95959, 95971,
- 95987, 95989, 96001, 96013, 96017, 96043, 96053, 96059, 96079, 96097,
- 96137, 96149, 96157, 96167, 96179, 96181, 96199, 96211, 96221, 96223,
- 96233, 96259, 96263, 96269, 96281, 96289, 96293, 96323, 96329, 96331,
- 96337, 96353, 96377, 96401, 96419, 96431, 96443, 96451, 96457, 96461,
- 96469, 96479, 96487, 96493, 96497, 96517, 96527, 96553, 96557, 96581,
- 96587, 96589, 96601, 96643, 96661, 96667, 96671, 96697, 96703, 96731,
- 96737, 96739, 96749, 96757, 96763, 96769, 96779, 96787, 96797, 96799,
- 96821, 96823, 96827, 96847, 96851, 96857, 96893, 96907, 96911, 96931,
- 96953, 96959, 96973, 96979, 96989, 96997, 97001, 97003, 97007, 97021,
- 97039, 97073, 97081, 97103, 97117, 97127, 97151, 97157, 97159, 97169,
- 97171, 97177, 97187, 97213, 97231, 97241, 97259, 97283, 97301, 97303,
- 97327, 97367, 97369, 97373, 97379, 97381, 97387, 97397, 97423, 97429,
- 97441, 97453, 97459, 97463, 97499, 97501, 97511, 97523, 97547, 97549,
- 97553, 97561, 97571, 97577, 97579, 97583, 97607, 97609, 97613, 97649,
- 97651, 97673, 97687, 97711, 97729, 97771, 97777, 97787, 97789, 97813,
- 97829, 97841, 97843, 97847, 97849, 97859, 97861, 97871, 97879, 97883,
- 97919, 97927, 97931, 97943, 97961, 97967, 97973, 97987, 98009, 98011,
- 98017, 98041, 98047, 98057, 98081, 98101, 98123, 98129, 98143, 98179,
- 98207, 98213, 98221, 98227, 98251, 98257, 98269, 98297, 98299, 98317,
- 98321, 98323, 98327, 98347, 98369, 98377, 98387, 98389, 98407, 98411,
- 98419, 98429, 98443, 98453, 98459, 98467, 98473, 98479, 98491, 98507,
- 98519, 98533, 98543, 98561, 98563, 98573, 98597, 98621, 98627, 98639,
- 98641, 98663, 98669, 98689, 98711, 98713, 98717, 98729, 98731, 98737,
- 98773, 98779, 98801, 98807, 98809, 98837, 98849, 98867, 98869, 98873,
- 98887, 98893, 98897, 98899, 98909, 98911, 98927, 98929, 98939, 98947,
- 98953, 98963, 98981, 98993, 98999, 99013, 99017, 99023, 99041, 99053,
- 99079, 99083, 99089, 99103, 99109, 99119, 99131, 99133, 99137, 99139,
- 99149, 99173, 99181, 99191, 99223, 99233, 99241, 99251, 99257, 99259,
- 99277, 99289, 99317, 99347, 99349, 99367, 99371, 99377, 99391, 99397,
- 99401, 99409, 99431, 99439, 99469, 99487, 99497, 99523, 99527, 99529,
- 99551, 99559, 99563, 99571, 99577, 99581, 99607, 99611, 99623, 99643,
- 99661, 99667, 99679, 99689, 99707, 99709, 99713, 99719, 99721, 99733,
- 99761, 99767, 99787, 99793, 99809, 99817, 99823, 99829, 99833, 99839,
- 99859, 99871, 99877, 99881, 99901, 99907, 99923, 99929, 99961, 99971,
- 99989, 99991, 100003, 100019, 100043, 100049, 100057, 100069, 100103, 100109,
- 100129, 100151, 100153, 100169, 100183, 100189, 100193, 100207, 100213, 100237,
- 100267, 100271, 100279, 100291, 100297, 100313, 100333, 100343, 100357, 100361,
- 100363, 100379, 100391, 100393, 100403, 100411, 100417, 100447, 100459, 100469,
- 100483, 100493, 100501, 100511, 100517, 100519, 100523, 100537, 100547, 100549,
- 100559, 100591, 100609, 100613, 100621, 100649, 100669, 100673, 100693, 100699,
- 100703, 100733, 100741, 100747, 100769, 100787, 100799, 100801, 100811, 100823,
- 100829, 100847, 100853, 100907, 100913, 100927, 100931, 100937, 100943, 100957,
- 100981, 100987, 100999, 101009, 101021, 101027, 101051, 101063, 101081, 101089,
- 101107, 101111, 101113, 101117, 101119, 101141, 101149, 101159, 101161, 101173,
- 101183, 101197, 101203, 101207, 101209, 101221, 101267, 101273, 101279, 101281,
- 101287, 101293, 101323, 101333, 101341, 101347, 101359, 101363, 101377, 101383,
- 101399, 101411, 101419, 101429, 101449, 101467, 101477, 101483, 101489, 101501,
- 101503, 101513, 101527, 101531, 101533, 101537, 101561, 101573, 101581, 101599,
- 101603, 101611, 101627, 101641, 101653, 101663, 101681, 101693, 101701, 101719,
- 101723, 101737, 101741, 101747, 101749, 101771, 101789, 101797, 101807, 101833,
- 101837, 101839, 101863, 101869, 101873, 101879, 101891, 101917, 101921, 101929,
- 101939, 101957, 101963, 101977, 101987, 101999, 102001, 102013, 102019, 102023,
- 102031, 102043, 102059, 102061, 102071, 102077, 102079, 102101, 102103, 102107,
- 102121, 102139, 102149, 102161, 102181, 102191, 102197, 102199, 102203, 102217,
- 102229, 102233, 102241, 102251, 102253, 102259, 102293, 102299, 102301, 102317,
- 102329, 102337, 102359, 102367, 102397, 102407, 102409, 102433, 102437, 102451,
- 102461, 102481, 102497, 102499, 102503, 102523, 102533, 102539, 102547, 102551,
- 102559, 102563, 102587, 102593, 102607, 102611, 102643, 102647, 102653, 102667,
- 102673, 102677, 102679, 102701, 102761, 102763, 102769, 102793, 102797, 102811,
- 102829, 102841, 102859, 102871, 102877, 102881, 102911, 102913, 102929, 102931,
- 102953, 102967, 102983, 103001, 103007, 103043, 103049, 103067, 103069, 103079,
- 103087, 103091, 103093, 103099, 103123, 103141, 103171, 103177, 103183, 103217,
- 103231, 103237, 103289, 103291, 103307, 103319, 103333, 103349, 103357, 103387,
- 103391, 103393, 103399, 103409, 103421, 103423, 103451, 103457, 103471, 103483,
- 103511, 103529, 103549, 103553, 103561, 103567, 103573, 103577, 103583, 103591,
- 103613, 103619, 103643, 103651, 103657, 103669, 103681, 103687, 103699, 103703,
- 103723, 103769, 103787, 103801, 103811, 103813, 103837, 103841, 103843, 103867,
- 103889, 103903, 103913, 103919, 103951, 103963, 103967, 103969, 103979, 103981,
- 103991, 103993, 103997, 104003, 104009, 104021, 104033, 104047, 104053, 104059,
- 104087, 104089, 104107, 104113, 104119, 104123, 104147, 104149, 104161, 104173,
- 104179, 104183, 104207, 104231, 104233, 104239, 104243, 104281, 104287, 104297,
- 104309, 104311, 104323, 104327, 104347, 104369, 104381, 104383, 104393, 104399,
- 104417, 104459, 104471, 104473, 104479, 104491, 104513, 104527, 104537, 104543,
- 104549, 104551, 104561, 104579, 104593, 104597, 104623, 104639, 104651, 104659,
- 104677, 104681, 104683, 104693, 104701, 104707, 104711, 104717, 104723, 104729,
-};
-
-// return 1 if p is divisable by sp, 0 otherwise
-static int
-divides(mpint *dividend, ulong divisor)
-{
- mpdigit d[2], q;
- int i;
-
- d[1] = 0;
- for(i = dividend->top-1; i >= 0; i--){
- d[0] = dividend->p[i];
- mpdigdiv(d, divisor, &q);
- d[1] = d[0] - divisor*q;
- }
- return d[1] == 0;
-}
-
-// return -1 if p is divisable by one of the small primes, 0 otherwise
-int
-smallprimetest(mpint *p)
-{
- int i;
- ulong sp;
-
- for(i = 0; i < nelem(smallprimes); i++){
- sp = smallprimes[i];
- if(p->top == 1 && p->p[0] <= sp)
- break;
- if(divides(p, sp))
- return -1;
- }
- return 0;
-}