Mercurial > dropbear
changeset 192:9cc34777b479 libtomcrypt
propagate from branch 'au.asn.ucc.matt.ltc-orig' (head 9ba8f01f44320e9cb9f19881105ae84f84a43ea9)
to branch 'au.asn.ucc.matt.dropbear.ltc' (head dbf51c569bc34956ad948e4cc87a0eeb2170b768)
| author | Matt Johnston <matt@ucc.asn.au> |
|---|---|
| date | Sun, 08 May 2005 06:36:47 +0000 |
| parents | cd1143579f00 (diff) 1c15b283127b (current diff) |
| children | 19e5d79b7190 |
| files | aes.c aes_tab.c authors base64_decode.c base64_encode.c blowfish.c burn_stack.c cast5.c cbc_decrypt.c cbc_encrypt.c cbc_getiv.c cbc_setiv.c cbc_start.c cfb_decrypt.c cfb_encrypt.c cfb_getiv.c cfb_setiv.c cfb_start.c chc.c crypt.c crypt_argchk.c crypt_cipher_descriptor.c crypt_cipher_is_valid.c crypt_find_cipher.c crypt_find_cipher_any.c crypt_find_cipher_id.c crypt_find_hash.c crypt_find_hash_any.c crypt_find_hash_id.c crypt_find_prng.c crypt_hash_descriptor.c crypt_hash_is_valid.c crypt_prng_descriptor.c crypt_prng_is_valid.c crypt_register_cipher.c crypt_register_hash.c crypt_register_prng.c crypt_unregister_cipher.c crypt_unregister_hash.c crypt_unregister_prng.c cscope.tmplst ctr_decrypt.c ctr_encrypt.c ctr_getiv.c ctr_setiv.c ctr_start.c demos/small.c demos/test/.ccmalloc demos/test/base64_test.c demos/test/cipher_hash_test.c demos/test/der_tests.c demos/test/dh_tests.c demos/test/dsa_test.c demos/test/ecc_test.c demos/test/mac_test.c demos/test/makefile demos/test/makefile.icc demos/test/makefile.msvc demos/test/makefile.shared demos/test/modes_test.c demos/test/pkcs_1_test.c demos/test/rsa_test.c demos/test/store_test.c demos/test/test.c demos/test/test.h demos/x86_prof.c der_decode_integer.c der_encode_integer.c der_get_multi_integer.c der_length_integer.c der_put_multi_integer.c des.c dh.c dh_sys.c doc/crypt.pdf dsa_export.c dsa_free.c dsa_import.c dsa_make_key.c dsa_sign_hash.c dsa_verify_hash.c dsa_verify_key.c eax_addheader.c eax_decrypt.c eax_decrypt_verify_memory.c eax_done.c eax_encrypt.c eax_encrypt_authenticate_memory.c eax_init.c eax_test.c ecb_decrypt.c ecb_encrypt.c ecb_start.c ecc.c ecc_sys.c error_to_string.c fortuna.c hash_file.c hash_filehandle.c hash_memory.c hmac_done.c hmac_file.c hmac_init.c hmac_memory.c hmac_process.c hmac_test.c is_prime.c ltc_tommath.h makefile makefile.cygwin_dll makefile.msvc md2.c md4.c md5.c mpi_to_ltc_error.c mycrypt.h mycrypt_argchk.h mycrypt_cfg.h mycrypt_cipher.h mycrypt_custom.h mycrypt_hash.h mycrypt_macros.h mycrypt_misc.h mycrypt_pk.h mycrypt_pkcs.h mycrypt_prng.h noekeon.c ocb_decrypt.c ocb_decrypt_verify_memory.c ocb_done_decrypt.c ocb_done_encrypt.c ocb_encrypt.c ocb_encrypt_authenticate_memory.c ocb_init.c ocb_ntz.c ocb_shift_xor.c ocb_test.c ofb_decrypt.c ofb_encrypt.c ofb_getiv.c ofb_setiv.c ofb_start.c omac_done.c omac_file.c omac_init.c omac_memory.c omac_process.c omac_test.c packet_store_header.c packet_valid_header.c pkcs_1_i2osp.c pkcs_1_mgf1.c pkcs_1_oaep_decode.c pkcs_1_oaep_encode.c pkcs_1_os2ip.c pkcs_1_pss_decode.c pkcs_1_pss_encode.c pkcs_1_v15_es_decode.c pkcs_1_v15_es_encode.c pkcs_1_v15_sa_decode.c pkcs_1_v15_sa_encode.c pkcs_5_1.c pkcs_5_2.c pmac_done.c pmac_file.c pmac_init.c pmac_memory.c pmac_ntz.c pmac_process.c pmac_shift_xor.c pmac_test.c pretty.build rand_prime.c rc2.c rc4.c rc5.c rc6.c rmd128.c rmd160.c rng_get_bytes.c rng_make_prng.c rsa_decrypt_key.c rsa_encrypt_key.c rsa_export.c rsa_exptmod.c rsa_free.c rsa_import.c rsa_make_key.c rsa_sign_hash.c rsa_v15_decrypt_key.c rsa_v15_encrypt_key.c rsa_v15_sign_hash.c rsa_v15_verify_hash.c rsa_verify_hash.c s_ocb_done.c safer.c safer_tab.c saferp.c sha1.c sha224.c sha256.c sha384.c sha512.c skipjack.c sober128.c sober128tab.c sprng.c src/ciphers/aes/aes.c src/ciphers/des.c src/ciphers/twofish/twofish.c src/hashes/md5.c src/hashes/sha1.c src/headers/tomcrypt.h src/headers/tomcrypt_custom.h src/misc/crypt/crypt.c src/misc/mpi/mpi.c tiger.c tim_exptmod.c tommath_class.h tommath_superclass.h twofish.c twofish_tab.c whirl.c whirltab.c xtea.c yarrow.c zeromem.c |
| diffstat | 23 files changed, 3580 insertions(+), 9476 deletions(-) [+] |
line wrap: on
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Makefile.in Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,218 @@ +# MAKEFILE for linux GCC +# +# Tom St Denis +# Modified by Clay Culver + +# The version +VERSION=0.99 + +VPATH=@srcdir@ +srcdir=@srcdir@ + +# Compiler and Linker Names +#CC=gcc +#LD=ld + +# Archiver [makes .a files] +#AR=ar +#ARFLAGS=r + +# Compilation flags. Note the += does not write over the user's CFLAGS! +# The rest of the flags come from the parent Dropbear makefile +CFLAGS += -c -I$(srcdir) +# -Werror + +# optimize for SPEED +#CFLAGS += -O3 -funroll-all-loops + +#add -fomit-frame-pointer. hinders debugging! +#CFLAGS += -fomit-frame-pointer + +# optimize for SIZE +#CFLAGS += -Os -DSMALL_CODE + +# compile for DEBUGING (required for ccmalloc checking!!!) +#CFLAGS += -g3 + +#These flags control how the library gets built. + +#Output filenames for various targets. +LIBNAME=libtomcrypt.a +HASH=hashsum +CRYPT=encrypt +SMALL=small +PROF=x86_prof +TV=tv_gen + +#LIBPATH-The directory for libtomcrypt to be installed to. +#INCPATH-The directory to install the header files for libtomcrypt. +#DATAPATH-The directory to install the pdf docs. +DESTDIR= +LIBPATH=/usr/lib +INCPATH=/usr/include +DATAPATH=/usr/share/doc/libtomcrypt/pdf + +#List of objects to compile. + +#Leave MPI built-in or force developer to link against libtommath? +#MPIOBJECT=mpi.o +#Dropbear uses libtommath +MPIOBJECT= + +OBJECTS=error_to_string.o mpi_to_ltc_error.o base64_encode.o base64_decode.o \ +\ +crypt.o crypt_find_cipher.o crypt_find_hash_any.o \ +crypt_hash_is_valid.o crypt_register_hash.o crypt_unregister_prng.o \ +crypt_argchk.o crypt_find_cipher_any.o crypt_find_hash_id.o \ +crypt_prng_descriptor.o crypt_register_prng.o crypt_cipher_descriptor.o \ +crypt_find_cipher_id.o crypt_find_prng.o crypt_prng_is_valid.o \ +crypt_unregister_cipher.o crypt_cipher_is_valid.o crypt_find_hash.o \ +crypt_hash_descriptor.o crypt_register_cipher.o crypt_unregister_hash.o \ +\ +rand_prime.o is_prime.o \ +\ +aes.o \ +\ +blowfish.o des.o \ +twofish.o \ +\ +md5.o sha1.o sha512.o \ +\ +cbc_start.o cbc_encrypt.o cbc_decrypt.o cbc_getiv.o cbc_setiv.o \ +ecb_start.o ecb_encrypt.o ecb_decrypt.o \ +\ +hash_memory.o \ +\ +hmac_done.o hmac_file.o hmac_init.o hmac_memory.o hmac_process.o hmac_test.o \ +\ +burn_stack.o zeromem.o \ +\ +$(MPIOBJECT) + +TESTOBJECTS=demos/test.o +HASHOBJECTS=demos/hashsum.o +CRYPTOBJECTS=demos/encrypt.o +SMALLOBJECTS=demos/small.o +PROFS=demos/x86_prof.o +TVS=demos/tv_gen.o + +#Files left over from making the crypt.pdf. +LEFTOVERS=*.dvi *.log *.aux *.toc *.idx *.ilg *.ind *.out + +#Compressed filenames +COMPRESSED=crypt-$(VERSION).tar.bz2 crypt-$(VERSION).zip + +#Header files used by libtomcrypt. +HEADERS=ltc_tommath.h mycrypt_cfg.h \ +mycrypt_misc.h mycrypt_prng.h mycrypt_cipher.h mycrypt_hash.h \ +mycrypt_macros.h mycrypt_pk.h mycrypt.h mycrypt_argchk.h \ +mycrypt_custom.h mycrypt_pkcs.h + +#The default rule for make builds the libtomcrypt library. +default:library + +#ciphers come in two flavours... enc+dec and enc +aes_enc.o: aes.c aes_tab.c + $(CC) $(CFLAGS) -DENCRYPT_ONLY -c $(srcdir)/aes.c -o aes_enc.o + +#These are the rules to make certain object files. +aes.o: aes.c aes_tab.c +twofish.o: twofish.c twofish_tab.c +whirl.o: whirl.c whirltab.c +ecc.o: ecc.c ecc_sys.c +dh.o: dh.c dh_sys.c +sha512.o: sha512.c sha384.c +sha256.o: sha256.c sha224.c + +#This rule makes the libtomcrypt library. +library: $(LIBNAME) + +$(LIBNAME): $(OBJECTS) + $(AR) $(ARFLAGS) $@ $(OBJECTS) + $(RANLIB) $@ + +#This rule makes the hash program included with libtomcrypt +hashsum: library $(HASHOBJECTS) + $(CC) $(HASHOBJECTS) $(LIBNAME) -o $(HASH) $(WARN) + +#makes the crypt program +crypt: library $(CRYPTOBJECTS) + $(CC) $(CRYPTOBJECTS) $(LIBNAME) -o $(CRYPT) $(WARN) + +#makes the small program +small: library $(SMALLOBJECTS) + $(CC) $(SMALLOBJECTS) $(LIBNAME) -o $(SMALL) $(WARN) + +x86_prof: library $(PROFS) + $(CC) $(PROFS) $(LIBNAME) $(EXTRALIBS) -o $(PROF) + +tv_gen: library $(TVS) + $(CC) $(TVS) $(LIBNAME) $(EXTRALIBS) -o $(TV) + +#This rule installs the library and the header files. This must be run +#as root in order to have a high enough permission to write to the correct +#directories and to set the owner and group to root. +install: library docs + install -d -g root -o root $(DESTDIR)$(LIBPATH) + install -d -g root -o root $(DESTDIR)$(INCPATH) + install -d -g root -o root $(DESTDIR)$(DATAPATH) + install -g root -o root $(LIBNAME) $(DESTDIR)$(LIBPATH) + install -g root -o root $(HEADERS) $(DESTDIR)$(INCPATH) + install -g root -o root doc/crypt.pdf $(DESTDIR)$(DATAPATH) + +install_lib: library + install -d -g root -o root $(DESTDIR)$(LIBPATH) + install -d -g root -o root $(DESTDIR)$(INCPATH) + install -g root -o root $(LIBNAME) $(DESTDIR)$(LIBPATH) + install -g root -o root $(HEADERS) $(DESTDIR)$(INCPATH) + +#This rule cleans the source tree of all compiled code, not including the pdf +#documentation. +clean: + -rm -f $(OBJECTS) $(TESTOBJECTS) $(HASHOBJECTS) $(CRYPTOBJECTS) $(SMALLOBJECTS) $(LEFTOVERS) $(LIBNAME) + -rm -f $(TEST) $(HASH) $(COMPRESSED) $(PROFS) $(PROF) $(TVS) $(TV) + -rm -f *.la *.lo *.o *.a *.dll *stackdump *.lib *.exe *.obj demos/*.obj demos/*.o *.bat *.txt *.il *.da demos/*.il demos/*.da *.dyn *.dpi \ + *.gcda *.gcno demos/*.gcno demos/*.gcda *~ doc/* + -cd demos/test && make clean + -rm -rf .libs demos/.libs demos/test/.libs + +#This builds the crypt.pdf file. Note that the rm -f *.pdf has been removed +#from the clean command! This is because most people would like to keep the +#nice pre-compiled crypt.pdf that comes with libtomcrypt! We only need to +#delete it if we are rebuilding it. +docs: crypt.tex + -rm -f doc/crypt.pdf $(LEFTOVERS) + echo "hello" > crypt.ind + latex crypt > /dev/null + latex crypt > /dev/null + makeindex crypt.idx > /dev/null + latex crypt > /dev/null + dvipdf crypt + mv -ivf crypt.pdf doc/crypt.pdf + -rm -f $(LEFTOVERS) + +docdvi: crypt.tex + echo hello > crypt.ind + latex crypt > /dev/null + latex crypt > /dev/null + makeindex crypt.idx + latex crypt > /dev/null + +#pretty build +pretty: + perl pretty.build + +#for GCC 3.4+ +profiled: + make clean + make CFLAGS="$(CFLAGS) -fprofile-generate" EXTRALIBS=-lgcov x86_prof + ./x86_prof + rm *.o *.a x86_prof + make CFLAGS="$(CFLAGS) -fprofile-use" EXTRALIBS=-lgcov x86_prof + +#zipup the project (take that!) +zipup: clean docs + cd .. ; rm -rf crypt* libtomcrypt-$(VERSION) ; mkdir libtomcrypt-$(VERSION) ; \ + cp -R ./libtomcrypt/* ./libtomcrypt-$(VERSION)/ ; tar -c libtomcrypt-$(VERSION)/* > crypt-$(VERSION).tar ; \ + bzip2 -9vv crypt-$(VERSION).tar ; zip -9 -r crypt-$(VERSION).zip libtomcrypt-$(VERSION)/* ; \ + gpg -b -a crypt-$(VERSION).tar.bz2 ; gpg -b -a crypt-$(VERSION).zip
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/PLAN Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,38 @@ +The following functions are marked for removal and/or behavioural change by v1.00 of LibTomCrypt + +1. RSA Support + + rsa_pad, rsa_signpad, rsa_depad, rsa_signdepad, rsa_import, rsa_export + +They will be replaced with PKCS #1 compliant OAEP/PSS padding function as early as v0.96 + +2. DSA Support + + dsa_import, dsa_export + +Will be replaced with suitable DSS [what is the standard?] compliant formats. Planned for v0.96 + +3. Key Ring Support + + (all) + +The entire API will be dropped as early as v0.96. It was just an experiment and nobody uses it anyways. + +4. Test Harness + + demos/test.c + +The test harness is well overdue for a makeover. Planned for as early as v0.97 + + +Put things in order... + +v0.96 -- removed keyring.c and gf.c + -- removed LTC RSA padding + -- DSS support [whatever this entails] + -- Bug fixes/updates to the PKCS/DSS support, should be stable in this release + +v0.97 -- Re-written test harness + -- More demos in the manual and demos/ directory + +... future???
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ampi.c Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,55 @@ +/* Code submitted by Svante Seleborg, cleaned up by Tom St Denis */ + +#include "mycrypt.h" +#include <stdarg.h> + +#ifdef MPI + +mp_err mp_init_multi(mp_int *mp, ...) +{ + mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ + int n = 0; /* Number of ok inits */ + mp_int* cur_arg = mp; + va_list args; + + va_start(args, mp); /* init args to next argument from caller */ + while (cur_arg != NULL) { + if (mp_init(cur_arg) != MP_OKAY) { + /* Oops - error! Back-track and mp_clear what we already + succeeded in init-ing, then return error. + */ + va_list clean_args; + cur_arg = mp; + va_start(clean_args, mp); + while (n--) { + mp_clear(cur_arg); + cur_arg = va_arg(clean_args, mp_int*); + } + va_end(clean_args); + res = MP_MEM; + break; + } + n++; + cur_arg = va_arg(args, mp_int*); + } + va_end(args); + return res; /* Assumed ok, if error flagged above. */ +} + +/* + Clear all arguments given, ended by a NULL marker. +*/ +void mp_clear_multi(mp_int *mp, ...) +{ + mp_int* next_mp = mp; + va_list args; + va_start(args, mp); + while (next_mp != NULL) { + mp_clear(next_mp); + next_mp = va_arg(args, mp_int*); + } + va_end(args); +} + +#endif +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/base64.c Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,121 @@ +/* LibTomCrypt, modular cryptographic library -- Tom St Denis + * + * LibTomCrypt is a library that provides various cryptographic + * algorithms in a highly modular and flexible manner. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, [email protected], http://libtomcrypt.org + */ +/* compliant base64 code donated by Wayne Scott ([email protected]) */ +#include "mycrypt.h" + +#ifdef BASE64 + +static const char *codes = +"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; + +static const unsigned char map[256] = { +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 62, 255, 255, 255, 63, + 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 255, 255, +255, 254, 255, 255, 255, 0, 1, 2, 3, 4, 5, 6, + 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, + 19, 20, 21, 22, 23, 24, 25, 255, 255, 255, 255, 255, +255, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, + 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, + 49, 50, 51, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, +255, 255, 255, 255 }; + +int base64_encode(const unsigned char *in, unsigned long len, + unsigned char *out, unsigned long *outlen) +{ + unsigned long i, len2, leven; + unsigned char *p; + + _ARGCHK(in != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + /* valid output size ? */ + len2 = 4 * ((len + 2) / 3); + if (*outlen < len2 + 1) { + return CRYPT_BUFFER_OVERFLOW; + } + p = out; + leven = 3*(len / 3); + for (i = 0; i < leven; i += 3) { + *p++ = codes[(in[0] >> 2) & 0x3F]; + *p++ = codes[(((in[0] & 3) << 4) + (in[1] >> 4)) & 0x3F]; + *p++ = codes[(((in[1] & 0xf) << 2) + (in[2] >> 6)) & 0x3F]; + *p++ = codes[in[2] & 0x3F]; + in += 3; + } + /* Pad it if necessary... */ + if (i < len) { + unsigned a = in[0]; + unsigned b = (i+1 < len) ? in[1] : 0; + + *p++ = codes[(a >> 2) & 0x3F]; + *p++ = codes[(((a & 3) << 4) + (b >> 4)) & 0x3F]; + *p++ = (i+1 < len) ? codes[(((b & 0xf) << 2)) & 0x3F] : '='; + *p++ = '='; + } + + /* append a NULL byte */ + *p = '\0'; + + /* return ok */ + *outlen = p - out; + return CRYPT_OK; +} + +int base64_decode(const unsigned char *in, unsigned long len, + unsigned char *out, unsigned long *outlen) +{ + unsigned long t, x, y, z; + unsigned char c; + int g; + + _ARGCHK(in != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + g = 3; + for (x = y = z = t = 0; x < len; x++) { + c = map[in[x]&0xFF]; + if (c == 255) continue; + if (c == 254) { c = 0; g--; } + t = (t<<6)|c; + if (++y == 4) { + if (z + g > *outlen) { + return CRYPT_BUFFER_OVERFLOW; + } + out[z++] = (unsigned char)((t>>16)&255); + if (g > 1) out[z++] = (unsigned char)((t>>8)&255); + if (g > 2) out[z++] = (unsigned char)(t&255); + y = t = 0; + } + } + if (y != 0) { + return CRYPT_INVALID_PACKET; + } + *outlen = z; + return CRYPT_OK; +} + +#endif +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/gf.c Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,305 @@ +/* LibTomCrypt, modular cryptographic library -- Tom St Denis + * + * LibTomCrypt is a library that provides various cryptographic + * algorithms in a highly modular and flexible manner. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, [email protected], http://libtomcrypt.org + */ +/* polynomial basis GF(2^w) routines */ +#include "mycrypt.h" + +#ifdef GF + +#define FORLOOP for (i = 0; i < LSIZE; i++) + +/* c = a + b */ +void gf_add(gf_intp a, gf_intp b, gf_intp c) +{ + int i; + FORLOOP c[i] = a[i]^b[i]; +} + +/* b = a */ +void gf_copy(gf_intp a, gf_intp b) +{ + int i; + FORLOOP b[i] = a[i]; +} + +/* a = 0 */ +void gf_zero(gf_intp a) +{ + int i; + FORLOOP a[i] = 0; +} + +/* is a zero? */ +int gf_iszero(gf_intp a) +{ + int i; + FORLOOP if (a[i]) { + return 0; + } + return 1; +} + +/* is a one? */ +int gf_isone(gf_intp a) +{ + int i; + for (i = 1; i < LSIZE; i++) { + if (a[i]) { + return 0; + } + } + return a[0] == 1; +} + +/* b = a << 1*/ +void gf_shl(gf_intp a, gf_intp b) +{ + int i; + gf_int tmp; + + gf_copy(a, tmp); + for (i = LSIZE-1; i > 0; i--) + b[i] = ((tmp[i]<<1)|((tmp[i-1]&0xFFFFFFFFUL)>>31))&0xFFFFFFFFUL; + b[0] = (tmp[0] << 1)&0xFFFFFFFFUL; + gf_zero(tmp); +} + +/* b = a >> 1 */ +void gf_shr(gf_intp a, gf_intp b) +{ + int i; + gf_int tmp; + + gf_copy(a, tmp); + for (i = 0; i < LSIZE-1; i++) + b[i] = (((tmp[i]&0xFFFFFFFFUL)>>1)|(tmp[i+1]<<31))&0xFFFFFFFFUL; + b[LSIZE-1] = (tmp[LSIZE-1]&0xFFFFFFFFUL)>>1; + gf_zero(tmp); +} + +/* returns -1 if its zero, otherwise degree of a */ +int gf_deg(gf_intp a) +{ + int i, ii; + unsigned long t; + + ii = -1; + for (i = LSIZE-1; i >= 0; i--) + if (a[i]) { + for (t = a[i], ii = 0; t; t >>= 1, ++ii); + break; + } + if (i == -1) i = 0; + return (i<<5)+ii; +} + +/* c = ab */ +void gf_mul(gf_intp a, gf_intp b, gf_intp c) +{ + gf_int ta, tb; + int i, n; + + gf_copy(a, ta); + gf_copy(b, tb); + gf_zero(c); + n = gf_deg(ta)+1; + for (i = 0; i < n; i++) { + if (ta[i>>5]&(1<<(i&31))) + gf_add(c, tb, c); + gf_shl(tb, tb); + } + gf_zero(ta); + gf_zero(tb); +} + +/* q = a/b, r = a%b */ +void gf_div(gf_intp a, gf_intp b, gf_intp q, gf_intp r) +{ + gf_int ta, tb, shifts[LSIZE*32]; + int i, magb, mag; + + mag = gf_deg(a); + magb = gf_deg(b); + + /* special cases */ + if (magb > mag) { + gf_copy(a, r); + gf_zero(q); + return; + } + if (magb == -1) { + return; + } + + /* copy locally */ + gf_copy(a, ta); + gf_copy(b, tb); + gf_zero(q); + + /* make shifted versions of "b" */ + gf_copy(tb, shifts[0]); + for (i = 1; i <= (mag-magb); i++) + gf_shl(shifts[i-1], shifts[i]); + + while (mag >= magb) { + i = (mag - magb); + q[i>>5] |= (1<<(i&31)); + gf_add(ta, shifts[i], ta); + mag = gf_deg(ta); + } + gf_copy(ta, r); + gf_zero(ta); + gf_zero(tb); + zeromem(shifts, sizeof(shifts)); +} + +/* b = a mod m */ +void gf_mod(gf_intp a, gf_intp m, gf_intp b) +{ + gf_int tmp; + gf_div(a,m,tmp,b); + gf_zero(tmp); +} + +/* c = ab (mod m) */ +void gf_mulmod(gf_intp a, gf_intp b, gf_intp m, gf_intp c) +{ + gf_int tmp; + gf_mul(a, b, tmp); + gf_mod(tmp, m, c); + gf_zero(tmp); +} + +/* B = 1/A mod M */ +void gf_invmod(gf_intp A, gf_intp M, gf_intp B) +{ + gf_int m, n, p0, p1, p2, r, q, tmp; + + /* put all variables in known setup state */ + gf_zero(p0); + gf_zero(p2); + gf_copy(M, m); + gf_copy(A, n); + p0[0] = 1; + gf_div(m, n, p1, r); + gf_copy(p1, q); + + /* loop until r == 0 */ + while (!gf_iszero(r)) { + gf_copy(n, m); + gf_copy(r, n); + gf_div(m, n, q, r); + gf_mul(q, p1, tmp); + gf_add(tmp, p0, p2); + gf_copy(p1, p0); + gf_copy(p2, p1); + } + gf_copy(p0, B); + gf_zero(p0); +} + +/* find a square root modulo a prime. Note the number of + * elements is 2^k - 1, so we must square k-2 times to get the + * square root.. + */ +void gf_sqrt(gf_intp a, gf_intp M, gf_intp b) +{ + int k; + k = gf_deg(M)-2; + gf_copy(a, b); + while (k--) + gf_mulmod(b, b, M, b); +} + +/* c = gcd(A,B) */ +void gf_gcd(gf_intp A, gf_intp B, gf_intp c) +{ + gf_int a, b, r; + int n; + + gf_add(A, B, r); + n = gf_deg(r); + if (gf_deg(A) > n) { + gf_copy(A, a); + gf_copy(B, b); + } else { + gf_copy(A, b); + gf_copy(B, a); + } + + do { + gf_mod(a, b, r); + gf_copy(b, a); + gf_copy(r, b); + } while (!gf_iszero(r)); + gf_copy(a, c); + gf_zero(a); + gf_zero(b); +} + +/* returns non-zero if 'a' is irreducible */ +int gf_is_prime(gf_intp a) +{ + gf_int u, tmp; + int m, n; + + gf_zero(u); + u[0] = 2; /* u(x) = x */ + m = gf_deg(a); + for (n = 0; n < (m/2); n++) { + gf_mulmod(u, u, a, u); /* u(x) = u(x)^2 mod a(x) */ + gf_copy(u, tmp); + tmp[0] ^= 2; /* tmp(x) = u(x) - x */ + gf_gcd(tmp, a, tmp); /* tmp(x) = gcd(a(x), u(x) - x) */ + if (!gf_isone(tmp)) { + return 0; + } + } + return 1; +} + +/* returns bytes required to store a gf_int */ +int gf_size(gf_intp a) +{ + int n; + + n = gf_deg(a); + if (n == -1) { + return 4; + } + n = n + (32 - (n&31)); + return n/8; +} + +/* store a gf_int */ +void gf_toraw(gf_intp a, unsigned char *dst) +{ + int x, n; + n = gf_size(a)/4; + for (x = 0; x < n; x++) { + STORE32L(a[x], dst); + dst += 4; + } +} + +/* read a gf_int (len == in bytes) */ +void gf_readraw(gf_intp a, unsigned char *str, int len) +{ + int x; + gf_zero(a); + for (x = 0; x < len/4; x++) { + LOAD32L(a[x], str); + str += 4; + } +} + +#endif + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/keyring.c Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,862 @@ +/* LibTomCrypt, modular cryptographic library -- Tom St Denis + * + * LibTomCrypt is a library that provides various cryptographic + * algorithms in a highly modular and flexible manner. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, [email protected], http://libtomcrypt.org + */ +/* Provides keyring functionality for libtomcrypt, Tom St Denis */ +#include <mycrypt.h> + +#ifdef KR + +static const unsigned char key_magic[4] = { 0x12, 0x34, 0x56, 0x78 }; +static const unsigned char file_magic[4] = { 0x9A, 0xBC, 0xDE, 0xF0 }; +static const unsigned char sign_magic[4] = { 0x87, 0x56, 0x43, 0x21 }; +static const unsigned char enc_magic[4] = { 0x0F, 0xED, 0xCB, 0xA9 }; + +static const unsigned long crc_table[256] = { + 0x00000000UL, 0x77073096UL, 0xee0e612cUL, 0x990951baUL, 0x076dc419UL, + 0x706af48fUL, 0xe963a535UL, 0x9e6495a3UL, 0x0edb8832UL, 0x79dcb8a4UL, + 0xe0d5e91eUL, 0x97d2d988UL, 0x09b64c2bUL, 0x7eb17cbdUL, 0xe7b82d07UL, + 0x90bf1d91UL, 0x1db71064UL, 0x6ab020f2UL, 0xf3b97148UL, 0x84be41deUL, + 0x1adad47dUL, 0x6ddde4ebUL, 0xf4d4b551UL, 0x83d385c7UL, 0x136c9856UL, + 0x646ba8c0UL, 0xfd62f97aUL, 0x8a65c9ecUL, 0x14015c4fUL, 0x63066cd9UL, + 0xfa0f3d63UL, 0x8d080df5UL, 0x3b6e20c8UL, 0x4c69105eUL, 0xd56041e4UL, + 0xa2677172UL, 0x3c03e4d1UL, 0x4b04d447UL, 0xd20d85fdUL, 0xa50ab56bUL, + 0x35b5a8faUL, 0x42b2986cUL, 0xdbbbc9d6UL, 0xacbcf940UL, 0x32d86ce3UL, + 0x45df5c75UL, 0xdcd60dcfUL, 0xabd13d59UL, 0x26d930acUL, 0x51de003aUL, + 0xc8d75180UL, 0xbfd06116UL, 0x21b4f4b5UL, 0x56b3c423UL, 0xcfba9599UL, + 0xb8bda50fUL, 0x2802b89eUL, 0x5f058808UL, 0xc60cd9b2UL, 0xb10be924UL, + 0x2f6f7c87UL, 0x58684c11UL, 0xc1611dabUL, 0xb6662d3dUL, 0x76dc4190UL, + 0x01db7106UL, 0x98d220bcUL, 0xefd5102aUL, 0x71b18589UL, 0x06b6b51fUL, + 0x9fbfe4a5UL, 0xe8b8d433UL, 0x7807c9a2UL, 0x0f00f934UL, 0x9609a88eUL, + 0xe10e9818UL, 0x7f6a0dbbUL, 0x086d3d2dUL, 0x91646c97UL, 0xe6635c01UL, + 0x6b6b51f4UL, 0x1c6c6162UL, 0x856530d8UL, 0xf262004eUL, 0x6c0695edUL, + 0x1b01a57bUL, 0x8208f4c1UL, 0xf50fc457UL, 0x65b0d9c6UL, 0x12b7e950UL, + 0x8bbeb8eaUL, 0xfcb9887cUL, 0x62dd1ddfUL, 0x15da2d49UL, 0x8cd37cf3UL, + 0xfbd44c65UL, 0x4db26158UL, 0x3ab551ceUL, 0xa3bc0074UL, 0xd4bb30e2UL, + 0x4adfa541UL, 0x3dd895d7UL, 0xa4d1c46dUL, 0xd3d6f4fbUL, 0x4369e96aUL, + 0x346ed9fcUL, 0xad678846UL, 0xda60b8d0UL, 0x44042d73UL, 0x33031de5UL, + 0xaa0a4c5fUL, 0xdd0d7cc9UL, 0x5005713cUL, 0x270241aaUL, 0xbe0b1010UL, + 0xc90c2086UL, 0x5768b525UL, 0x206f85b3UL, 0xb966d409UL, 0xce61e49fUL, + 0x5edef90eUL, 0x29d9c998UL, 0xb0d09822UL, 0xc7d7a8b4UL, 0x59b33d17UL, + 0x2eb40d81UL, 0xb7bd5c3bUL, 0xc0ba6cadUL, 0xedb88320UL, 0x9abfb3b6UL, + 0x03b6e20cUL, 0x74b1d29aUL, 0xead54739UL, 0x9dd277afUL, 0x04db2615UL, + 0x73dc1683UL, 0xe3630b12UL, 0x94643b84UL, 0x0d6d6a3eUL, 0x7a6a5aa8UL, + 0xe40ecf0bUL, 0x9309ff9dUL, 0x0a00ae27UL, 0x7d079eb1UL, 0xf00f9344UL, + 0x8708a3d2UL, 0x1e01f268UL, 0x6906c2feUL, 0xf762575dUL, 0x806567cbUL, + 0x196c3671UL, 0x6e6b06e7UL, 0xfed41b76UL, 0x89d32be0UL, 0x10da7a5aUL, + 0x67dd4accUL, 0xf9b9df6fUL, 0x8ebeeff9UL, 0x17b7be43UL, 0x60b08ed5UL, + 0xd6d6a3e8UL, 0xa1d1937eUL, 0x38d8c2c4UL, 0x4fdff252UL, 0xd1bb67f1UL, + 0xa6bc5767UL, 0x3fb506ddUL, 0x48b2364bUL, 0xd80d2bdaUL, 0xaf0a1b4cUL, + 0x36034af6UL, 0x41047a60UL, 0xdf60efc3UL, 0xa867df55UL, 0x316e8eefUL, + 0x4669be79UL, 0xcb61b38cUL, 0xbc66831aUL, 0x256fd2a0UL, 0x5268e236UL, + 0xcc0c7795UL, 0xbb0b4703UL, 0x220216b9UL, 0x5505262fUL, 0xc5ba3bbeUL, + 0xb2bd0b28UL, 0x2bb45a92UL, 0x5cb36a04UL, 0xc2d7ffa7UL, 0xb5d0cf31UL, + 0x2cd99e8bUL, 0x5bdeae1dUL, 0x9b64c2b0UL, 0xec63f226UL, 0x756aa39cUL, + 0x026d930aUL, 0x9c0906a9UL, 0xeb0e363fUL, 0x72076785UL, 0x05005713UL, + 0x95bf4a82UL, 0xe2b87a14UL, 0x7bb12baeUL, 0x0cb61b38UL, 0x92d28e9bUL, + 0xe5d5be0dUL, 0x7cdcefb7UL, 0x0bdbdf21UL, 0x86d3d2d4UL, 0xf1d4e242UL, + 0x68ddb3f8UL, 0x1fda836eUL, 0x81be16cdUL, 0xf6b9265bUL, 0x6fb077e1UL, + 0x18b74777UL, 0x88085ae6UL, 0xff0f6a70UL, 0x66063bcaUL, 0x11010b5cUL, + 0x8f659effUL, 0xf862ae69UL, 0x616bffd3UL, 0x166ccf45UL, 0xa00ae278UL, + 0xd70dd2eeUL, 0x4e048354UL, 0x3903b3c2UL, 0xa7672661UL, 0xd06016f7UL, + 0x4969474dUL, 0x3e6e77dbUL, 0xaed16a4aUL, 0xd9d65adcUL, 0x40df0b66UL, + 0x37d83bf0UL, 0xa9bcae53UL, 0xdebb9ec5UL, 0x47b2cf7fUL, 0x30b5ffe9UL, + 0xbdbdf21cUL, 0xcabac28aUL, 0x53b39330UL, 0x24b4a3a6UL, 0xbad03605UL, + 0xcdd70693UL, 0x54de5729UL, 0x23d967bfUL, 0xb3667a2eUL, 0xc4614ab8UL, + 0x5d681b02UL, 0x2a6f2b94UL, 0xb40bbe37UL, 0xc30c8ea1UL, 0x5a05df1bUL, + 0x2d02ef8dUL +}; + +#define DO1(buf) crc = crc_table[(crc ^ (*buf++)) & 0xff] ^ (crc >> 8); +#define DO2(buf) DO1(buf); DO1(buf); +#define DO4(buf) DO2(buf); DO2(buf); +#define DO8(buf) DO4(buf); DO4(buf); + +static unsigned long crc32 (unsigned long crc, const unsigned char *buf, unsigned long len) +{ + //_ARGCHK(buf != NULL && len == 0); + crc = crc ^ 0xffffffffL; + while (len >= 8) { + DO8 (buf); + len -= 8; + } + + if (len > 0) { + do { + DO1 (buf); + } while (--len > 0); + } + return crc ^ 0xffffffffUL; +} + +int kr_init(pk_key **pk) +{ + _ARGCHK(pk != NULL); + + *pk = XCALLOC(1, sizeof(pk_key)); + if (*pk == NULL) { + return CRYPT_MEM; + } + (*pk)->system = NON_KEY; + return CRYPT_OK; +} + +unsigned long kr_crc(const unsigned char *name, const unsigned char *email, const unsigned char *description) +{ + unsigned long crc; + _ARGCHK(name != NULL); + _ARGCHK(email != NULL); + _ARGCHK(description != NULL); + crc = crc32(0UL, NULL, 0UL); + crc = crc32(crc, name, (unsigned long)MIN(MAXLEN, strlen((char *)name))); + crc = crc32(crc, email, (unsigned long)MIN(MAXLEN, strlen((char *)email))); + return crc32(crc, description, (unsigned long)MIN(MAXLEN, strlen((char *)description))); +} + +pk_key *kr_find(pk_key *pk, unsigned long ID) +{ + _ARGCHK(pk != NULL); + + while (pk != NULL) { + if (pk->system != NON_KEY && pk->ID == ID) { + return pk; + } + pk = pk->next; + } + return NULL; +} + +pk_key *kr_find_name(pk_key *pk, const char *name) +{ + _ARGCHK(pk != NULL); + _ARGCHK(name != NULL); + + while (pk != NULL) { + if (pk->system != NON_KEY && strncmp((char *)pk->name, (char *)name, sizeof(pk->name)-1) == 0) { + return pk; + } + pk = pk->next; + } + return NULL; +} + + +int kr_add(pk_key *pk, int key_type, int sys, const unsigned char *name, + const unsigned char *email, const unsigned char *description, const _pk_key *key) +{ + _ARGCHK(pk != NULL); + _ARGCHK(name != NULL); + _ARGCHK(email != NULL); + _ARGCHK(description != NULL); + _ARGCHK(key != NULL); + + /* check parameters */ + if (key_type != PK_PRIVATE && key_type != PK_PRIVATE_OPTIMIZED && key_type != PK_PUBLIC) { + return CRYPT_PK_INVALID_TYPE; + } + + if (sys != RSA_KEY && sys != DH_KEY && sys != ECC_KEY) { + return CRYPT_PK_INVALID_SYSTEM; + } + + /* see if its a dupe */ + if (kr_find(pk, kr_crc(name, email, description)) != NULL) { + return CRYPT_PK_DUP; + } + + /* find spot in key ring */ + while (pk->system != NON_KEY) { + if (pk->next == NULL) { + return CRYPT_ERROR; + } + pk = pk->next; + } + + /* now we have a spot make a next spot */ + pk->next = XCALLOC(1, sizeof(pk_key)); + if (pk->next == NULL) { + return CRYPT_MEM; + } + pk->next->system = NON_KEY; + + /* now add this new data to this ring spot */ + pk->key_type = key_type; + pk->system = sys; + strncpy((char *)pk->name, (char *)name, sizeof(pk->name)-1); + strncpy((char *)pk->email, (char *)email, sizeof(pk->email)-1); + strncpy((char *)pk->description, (char *)description, sizeof(pk->description)-1); + pk->ID = kr_crc(pk->name, pk->email, pk->description); + + /* clear the memory area */ + zeromem(&(pk->key), sizeof(pk->key)); + + /* copy the key */ + switch (sys) { + case RSA_KEY: + memcpy(&(pk->key.rsa), &(key->rsa), sizeof(key->rsa)); + break; + case DH_KEY: + memcpy(&(pk->key.dh), &(key->dh), sizeof(key->dh)); + break; + case ECC_KEY: + memcpy(&(pk->key.ecc), &(key->ecc), sizeof(key->ecc)); + break; + } + return CRYPT_OK; +} + +int kr_del(pk_key **_pk, unsigned long ID) +{ + pk_key *ppk, *pk; + + _ARGCHK(_pk != NULL); + + pk = *_pk; + ppk = NULL; + while (pk->system != NON_KEY && pk->ID != ID) { + ppk = pk; + pk = pk->next; + if (pk == NULL) { + return CRYPT_PK_NOT_FOUND; + } + } + + switch (pk->system) { + case RSA_KEY: + rsa_free(&(pk->key.rsa)); + break; + case DH_KEY: + dh_free(&(pk->key.dh)); + break; + case ECC_KEY: + ecc_free(&(pk->key.ecc)); + break; + } + + if (ppk == NULL) { /* the first element matches the ID */ + ppk = pk->next; /* get the 2nd element */ + XFREE(pk); /* free the first */ + *_pk = ppk; /* make the first element the second */ + } else { /* (not) first element matches the ID */ + ppk->next = pk->next; /* make the previous'es next point to the current next */ + XFREE(pk); /* free the element */ + } + return CRYPT_OK; +} + +int kr_clear(pk_key **pk) +{ + int err; + _ARGCHK(pk != NULL); + + while ((*pk)->system != NON_KEY) { + if ((err = kr_del(pk, (*pk)->ID)) != CRYPT_OK) { + return err; + } + } + XFREE(*pk); + *pk = NULL; + return CRYPT_OK; +} + +static unsigned long _write(unsigned char *buf, unsigned long len, FILE *f, symmetric_CTR *ctr) +{ +#ifdef NO_FILE + return 0; +#else + _ARGCHK(buf != NULL); + _ARGCHK(f != NULL); + if (ctr != NULL) { + if (ctr_encrypt(buf, buf, len, ctr) != CRYPT_OK) { + return 0; + } + } + return (unsigned long)fwrite(buf, 1, (size_t)len, f); +#endif +} + +static unsigned long _read(unsigned char *buf, unsigned long len, FILE *f, symmetric_CTR *ctr) +{ +#ifdef NO_FILE + return 0; +#else + unsigned long y; + _ARGCHK(buf != NULL); + _ARGCHK(f != NULL); + y = (unsigned long)fread(buf, 1, (size_t)len, f); + if (ctr != NULL) { + if (ctr_decrypt(buf, buf, y, ctr) != CRYPT_OK) { + return 0; + } + } + return y; +#endif +} + +int kr_export(pk_key *pk, unsigned long ID, int key_type, unsigned char *out, unsigned long *outlen) +{ + unsigned char buf[8192], *obuf; + pk_key *ppk; + unsigned long len; + int err; + + _ARGCHK(pk != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + /* find the desired key */ + ppk = kr_find(pk, ID); + if (ppk == NULL) { + return CRYPT_PK_NOT_FOUND; + } + + if (ppk->key_type == PK_PUBLIC && key_type != PK_PUBLIC) { + return CRYPT_PK_NOT_PRIVATE; + } + + /* this makes PK_PRIVATE an alias for PK_PRIVATE_OPTIMIZED type */ + if (ppk->key_type == PK_PRIVATE_OPTIMIZED && key_type == PK_PRIVATE) { + key_type = PK_PRIVATE_OPTIMIZED; + } + + /* now copy the header and various other details */ + memcpy(buf, key_magic, 4); /* magic info */ + buf[4] = key_type; /* key type */ + buf[5] = ppk->system; /* system */ + STORE32L(ppk->ID, buf+6); /* key ID */ + memcpy(buf+10, ppk->name, MAXLEN); /* the name */ + memcpy(buf+10+MAXLEN, ppk->email, MAXLEN); /* the email */ + memcpy(buf+10+MAXLEN+MAXLEN, ppk->description, MAXLEN); /* the description */ + + /* export key */ + len = sizeof(buf) - (6 + 4 + MAXLEN*3); + obuf = buf+6+4+MAXLEN*3; + switch (ppk->system) { + case RSA_KEY: + if ((err = rsa_export(obuf, &len, key_type, &(ppk->key.rsa))) != CRYPT_OK) { + return err; + } + break; + case DH_KEY: + if ((err = dh_export(obuf, &len, key_type, &(ppk->key.dh))) != CRYPT_OK) { + return err; + } + break; + case ECC_KEY: + if ((err = ecc_export(obuf, &len, key_type, &(ppk->key.ecc))) != CRYPT_OK) { + return err; + } + break; + } + + /* get the entire length of the packet */ + len += 6 + 4 + 3*MAXLEN; + + if (*outlen < len) { + #ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); + #endif + return CRYPT_BUFFER_OVERFLOW; + } else { + *outlen = len; + memcpy(out, buf, len); + #ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); + #endif + return CRYPT_OK; + } +} + +int kr_import(pk_key *pk, const unsigned char *in, unsigned long inlen) +{ + _pk_key key; + int sys, key_type, err; + unsigned long ID; + + _ARGCHK(pk != NULL); + _ARGCHK(in != NULL); + + if (inlen < 10) { + return CRYPT_INVALID_PACKET; + } + + if (memcmp(in, key_magic, 4) != 0) { + return CRYPT_INVALID_PACKET; + } + key_type = in[4]; /* get type */ + sys = in[5]; /* get system */ + LOAD32L(ID,in+6); /* the ID */ + + if (ID != kr_crc(in+10, in+10+MAXLEN, in+10+MAXLEN+MAXLEN)) { + return CRYPT_INVALID_PACKET; + } + + zeromem(&key, sizeof(key)); + + /* size of remaining packet */ + inlen -= 10 + 3*MAXLEN; + + switch (sys) { + case RSA_KEY: + if ((err = rsa_import(in+10+3*MAXLEN, inlen, &(key.rsa))) != CRYPT_OK) { + return err; + } + break; + case DH_KEY: + if ((err = dh_import(in+10+3*MAXLEN, inlen, &(key.dh))) != CRYPT_OK) { + return err; + } + break; + case ECC_KEY: + if ((err = ecc_import(in+10+3*MAXLEN, inlen, &(key.ecc))) != CRYPT_OK) { + return err; + } + break; + } + return kr_add(pk, key_type, sys, + in+10, /* the name */ + in+10+MAXLEN, /* email address */ + in+10+MAXLEN+MAXLEN, /* description */ + &key); +} + + +int kr_load(pk_key **pk, FILE *in, symmetric_CTR *ctr) +{ + unsigned char buf[8192], blen[4]; + unsigned long len; + int res, err; + + _ARGCHK(pk != NULL); + _ARGCHK(in != NULL); + + /* init keyring */ + if ((err = kr_init(pk)) != CRYPT_OK) { + return err; + } + + /* read in magic bytes */ + if (_read(buf, 6, in, ctr) != 6) { goto done2; } + + if (memcmp(buf, file_magic, 4) != 0) { + return CRYPT_INVALID_PACKET; + } + + len = (unsigned long)buf[4] | ((unsigned long)buf[5] << 8); + if (len > CRYPT) { + return CRYPT_INVALID_PACKET; + } + + /* while there are lengths to read... */ + while (_read(blen, 4, in, ctr) == 4) { + /* get length */ + LOAD32L(len, blen); + + if (len > (unsigned long)sizeof(buf)) { + return CRYPT_INVALID_PACKET; + } + + if (_read(buf, len, in, ctr) != len) { goto done2; } + if ((err = kr_import(*pk, buf, len)) != CRYPT_OK) { + return err; + } + } + + res = CRYPT_OK; + goto done; +done2: + res = CRYPT_ERROR; +done: +#ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); +#endif + return res; +} + +int kr_save(pk_key *pk, FILE *out, symmetric_CTR *ctr) +{ + unsigned char buf[8192], blen[4]; + unsigned long len; + int res, err; + + _ARGCHK(pk != NULL); + _ARGCHK(out != NULL); + + /* write out magic bytes */ + memcpy(buf, file_magic, 4); + buf[4] = (unsigned char)(CRYPT&255); + buf[5] = (unsigned char)((CRYPT>>8)&255); + if (_write(buf, 6, out, ctr) != 6) { goto done2; } + + while (pk->system != NON_KEY) { + len = sizeof(buf); + if ((err = kr_export(pk, pk->ID, pk->key_type, buf, &len)) != CRYPT_OK) { + return err; + } + + STORE32L(len, blen); + if (_write(blen, 4, out, ctr) != 4) { goto done2; } + if (_write(buf, len, out, ctr) != len) { goto done2; } + + pk = pk->next; + } + + res = CRYPT_OK; + goto done; +done2: + res = CRYPT_ERROR; +done: +#ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); +#endif + return res; +} + +int kr_make_key(pk_key *pk, prng_state *prng, int wprng, + int sys, int keysize, const unsigned char *name, + const unsigned char *email, const unsigned char *description) +{ + _pk_key key; + int key_type, err; + + _ARGCHK(pk != NULL); + _ARGCHK(name != NULL); + _ARGCHK(email != NULL); + _ARGCHK(description != NULL); + + /* valid PRNG? */ + if ((err = prng_is_valid(wprng)) != CRYPT_OK) { + return err; + } + + /* make the key first */ + zeromem(&key, sizeof(key)); + switch (sys) { + case RSA_KEY: + if ((err = rsa_make_key(prng, wprng, keysize, 65537, &(key.rsa))) != CRYPT_OK) { + return err; + } + key_type = key.rsa.type; + break; + case DH_KEY: + if ((err = dh_make_key(prng, wprng, keysize, &(key.dh))) != CRYPT_OK) { + return err; + } + key_type = key.dh.type; + break; + case ECC_KEY: + if ((err = ecc_make_key(prng, wprng, keysize, &(key.ecc))) != CRYPT_OK) { + return err; + } + key_type = key.ecc.type; + break; + default: + return CRYPT_PK_INVALID_SYSTEM; + } + + /* now add the key */ + if ((err = kr_add(pk, key_type, sys, name, email, description, &key)) != CRYPT_OK) { + return err; + } + +#ifdef CLEAN_STACK + zeromem(&key, sizeof(key)); +#endif + return CRYPT_OK; +} + +int kr_encrypt_key(pk_key *pk, unsigned long ID, + const unsigned char *in, unsigned long inlen, + unsigned char *out, unsigned long *outlen, + prng_state *prng, int wprng, int hash) +{ + unsigned char buf[8192]; + unsigned long len; + pk_key *kr; + int err; + + _ARGCHK(pk != NULL); + _ARGCHK(in != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + /* find the key */ + kr = kr_find(pk, ID); + if (kr == NULL) { + return CRYPT_PK_NOT_FOUND; + } + + /* store the header */ + memcpy(buf, enc_magic, 4); + + /* now store the ID */ + STORE32L(kr->ID,buf+4); + + /* now encrypt it */ + len = sizeof(buf)-12; + switch (kr->system) { + case RSA_KEY: + if ((err = rsa_encrypt_key(in, inlen, buf+12, &len, prng, wprng, &(kr->key.rsa))) != CRYPT_OK) { + return err; + } + break; + case DH_KEY: + if ((err = dh_encrypt_key(in, inlen, buf+12, &len, prng, wprng, hash, &(kr->key.dh))) != CRYPT_OK) { + return err; + } + break; + case ECC_KEY: + if ((err = ecc_encrypt_key(in, inlen, buf+12, &len, prng, wprng, hash, &(kr->key.ecc))) != CRYPT_OK) { + return err; + } + break; + } + STORE32L(len,buf+8); + len += 12; + + if (len > *outlen) { + #ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); + #endif + return CRYPT_BUFFER_OVERFLOW; + } else { + memcpy(out, buf, len); + #ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); + #endif + *outlen = len; + return CRYPT_OK; + } +} + +int kr_decrypt_key(pk_key *pk, const unsigned char *in, + unsigned char *out, unsigned long *outlen) +{ + unsigned char buf[8192]; + unsigned long pklen, len, ID; + pk_key *kr; + int err; + + _ARGCHK(pk != NULL); + _ARGCHK(in != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + /* check magic header */ + if (memcmp(in, enc_magic, 4)) { + return CRYPT_INVALID_PACKET; + } + + /* now try to find key */ + LOAD32L(ID,in+4); + kr = kr_find(pk, ID); + if (kr == NULL) { + return CRYPT_PK_NOT_FOUND; + } + + /* is it public? */ + if (kr->key_type == PK_PUBLIC) { + return CRYPT_PK_NOT_PRIVATE; + } + + /* now try and decrypt it */ + LOAD32L(pklen,in+8); + len = sizeof(buf); + switch (kr->system) { + case RSA_KEY: + if ((err = rsa_decrypt_key(in+12, pklen, buf, &len, &(kr->key.rsa))) != CRYPT_OK) { + return err; + } + break; + case DH_KEY: + if ((err = dh_decrypt_key(in+12, pklen, buf, &len, &(kr->key.dh))) != CRYPT_OK) { + return err; + } + break; + case ECC_KEY: + if ((err = ecc_decrypt_key(in+12, pklen, buf, &len, &(kr->key.ecc))) != CRYPT_OK) { + return err; + } + break; + } + + if (len > *outlen) { + #ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); + #endif + return CRYPT_BUFFER_OVERFLOW; + } else { + memcpy(out, buf, len); + #ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); + #endif + *outlen = len; + return CRYPT_OK; + } +} + +int kr_sign_hash(pk_key *pk, unsigned long ID, + const unsigned char *in, unsigned long inlen, + unsigned char *out, unsigned long *outlen, + prng_state *prng, int wprng) +{ + unsigned char buf[8192]; + unsigned long len; + pk_key *kr; + int err; + + _ARGCHK(pk != NULL); + _ARGCHK(in != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + /* find the key */ + kr = kr_find(pk, ID); + if (kr == NULL) { + return CRYPT_PK_NOT_FOUND; + } + + /* is it public? */ + if (kr->key_type == PK_PUBLIC) { + return CRYPT_PK_NOT_PRIVATE; + } + + /* store the header */ + memcpy(buf, sign_magic, 4); + + /* now store the ID */ + STORE32L(kr->ID,buf+4); + + /* now sign it */ + len = sizeof(buf)-16; + switch (kr->system) { + case RSA_KEY: + if ((err = rsa_sign_hash(in, inlen, buf+16, &len, &(kr->key.rsa))) != CRYPT_OK) { + return err; + } + break; + case DH_KEY: + if ((err = dh_sign_hash(in, inlen, buf+16, &len, prng, wprng, &(kr->key.dh))) != CRYPT_OK) { + return err; + } + break; + case ECC_KEY: + if ((err = ecc_sign_hash(in, inlen, buf+16, &len, prng, wprng, &(kr->key.ecc))) != CRYPT_OK) { + return err; + } + break; + } + STORE32L(inlen,buf+8); + STORE32L(len,buf+12); + len += 16; + + if (len > *outlen) { + #ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); + #endif + return CRYPT_BUFFER_OVERFLOW; + } else { + memcpy(out, buf, len); + #ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); + #endif + *outlen = len; + return CRYPT_OK; + } +} + +int kr_verify_hash(pk_key *pk, const unsigned char *in, const unsigned char *hash, + unsigned long hashlen, int *stat) +{ + unsigned long inlen, pklen, ID; + pk_key *kr; + int err; + + _ARGCHK(pk != NULL); + _ARGCHK(in != NULL); + _ARGCHK(hash != NULL); + _ARGCHK(stat != NULL); + + /* default to not match */ + *stat = 0; + + /* check magic header */ + if (memcmp(in, sign_magic, 4)) { + return CRYPT_INVALID_PACKET; + } + + /* now try to find key */ + LOAD32L(ID,in+4); + kr = kr_find(pk, ID); + if (kr == NULL) { + return CRYPT_PK_NOT_FOUND; + } + + /* now try and verify it */ + LOAD32L(inlen,in+8); /* this is the length of the original inlen */ + LOAD32L(pklen,in+12); /* size of the PK packet */ + if (inlen != hashlen) { /* size doesn't match means the signature is invalid */ + return CRYPT_OK; + } + + switch (kr->system) { + case RSA_KEY: + if ((err = rsa_verify_hash(in+16, pklen, hash, stat, &(kr->key.rsa))) != CRYPT_OK) { + return err; + } + break; + case DH_KEY: + if ((err = dh_verify_hash(in+16, pklen, hash, inlen, stat, &(kr->key.dh))) != CRYPT_OK) { + return err; + } + break; + case ECC_KEY: + if ((err = ecc_verify_hash(in+16, pklen, hash, inlen, stat, &(kr->key.ecc))) != CRYPT_OK) { + return err; + } + break; + } + return CRYPT_OK; +} + +int kr_fingerprint(pk_key *pk, unsigned long ID, int hash, + unsigned char *out, unsigned long *outlen) +{ + unsigned char buf[8192]; + unsigned long len; + int err; + + _ARGCHK(pk != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + /* valid hash? */ + if ((err = hash_is_valid(hash)) != CRYPT_OK) { + return err; + } + + len = (unsigned long)sizeof(buf); + if ((err = kr_export(pk, ID, PK_PUBLIC, buf, &len)) != CRYPT_OK) { + return err; + } + + /* now hash it */ + if ((err = hash_memory(hash, buf, len, out, outlen)) != CRYPT_OK) { + return err; + } + +#ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); +#endif + return CRYPT_OK; +} + +#endif + +
--- a/makefile Fri May 06 13:23:02 2005 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,285 +0,0 @@ -# MAKEFILE for linux GCC -# -# Tom St Denis -# Modified by Clay Culver - -# The version -VERSION=1.02 - -# Compiler and Linker Names -#CC=gcc -#LD=ld - -# Archiver [makes .a files] -#AR=ar -#ARFLAGS=r - -# Compilation flags. Note the += does not write over the user's CFLAGS! -CFLAGS += -c -I./testprof/ -I./src/headers/ -Wall -Wsign-compare -W -Wshadow -Wno-unused-parameter - -# additional warnings (newer GCC 3.4 and higher) -#CFLAGS += -Wsystem-headers -Wdeclaration-after-statement -Wbad-function-cast -Wcast-align -Wstrict-prototypes -Wmissing-prototypes \ -# -Wmissing-declarations -Wpointer-arith - -# optimize for SPEED -CFLAGS += -O3 -funroll-loops - -# add -fomit-frame-pointer. hinders debugging! -CFLAGS += -fomit-frame-pointer - -# optimize for SIZE -#CFLAGS += -Os -DLTC_SMALL_CODE - -# older GCCs can't handle the "rotate with immediate" ROLc/RORc/etc macros -# define this to help -#CFLAGS += -DLTC_NO_ROLC - -# compile for DEBUGING (required for ccmalloc checking!!!) -#CFLAGS += -g3 -DLTC_NO_ASM - -#Output filenames for various targets. -LIBNAME=libtomcrypt.a -LIBTEST=testprof/libtomcrypt_prof.a -HASH=hashsum -CRYPT=encrypt -SMALL=small -PROF=x86_prof -TV=tv_gen -MULTI=multi -TIMING=timing -TEST=test - -#LIBPATH-The directory for libtomcrypt to be installed to. -#INCPATH-The directory to install the header files for libtomcrypt. -#DATAPATH-The directory to install the pdf docs. -DESTDIR= -LIBPATH=/usr/lib -INCPATH=/usr/include -DATAPATH=/usr/share/doc/libtomcrypt/pdf - -#Who do we install as? -USER=root -GROUP=wheel - -#List of objects to compile. - -#Leave MPI built-in or force developer to link against libtommath? -MPIOBJECT=src/misc/mpi/mpi.o - -OBJECTS=src/ciphers/aes/aes_enc.o $(MPIOBJECT) src/ciphers/aes/aes.o src/ciphers/anubis.o \ -src/ciphers/blowfish.o src/ciphers/cast5.o src/ciphers/des.o src/ciphers/khazad.o src/ciphers/noekeon.o \ -src/ciphers/rc2.o src/ciphers/rc5.o src/ciphers/rc6.o src/ciphers/safer/safer.o \ -src/ciphers/safer/safer_tab.o src/ciphers/safer/saferp.o src/ciphers/skipjack.o \ -src/ciphers/twofish/twofish.o src/ciphers/xtea.o src/encauth/ccm/ccm_memory.o \ -src/encauth/ccm/ccm_test.o src/encauth/eax/eax_addheader.o src/encauth/eax/eax_decrypt.o \ -src/encauth/eax/eax_decrypt_verify_memory.o src/encauth/eax/eax_done.o src/encauth/eax/eax_encrypt.o \ -src/encauth/eax/eax_encrypt_authenticate_memory.o src/encauth/eax/eax_init.o \ -src/encauth/eax/eax_test.o src/encauth/gcm/gcm_add_aad.o src/encauth/gcm/gcm_add_iv.o \ -src/encauth/gcm/gcm_done.o src/encauth/gcm/gcm_gf_mult.o src/encauth/gcm/gcm_init.o \ -src/encauth/gcm/gcm_memory.o src/encauth/gcm/gcm_process.o src/encauth/gcm/gcm_reset.o \ -src/encauth/gcm/gcm_test.o src/encauth/ocb/ocb_decrypt.o src/encauth/ocb/ocb_decrypt_verify_memory.o \ -src/encauth/ocb/ocb_done_decrypt.o src/encauth/ocb/ocb_done_encrypt.o src/encauth/ocb/ocb_encrypt.o \ -src/encauth/ocb/ocb_encrypt_authenticate_memory.o src/encauth/ocb/ocb_init.o src/encauth/ocb/ocb_ntz.o \ -src/encauth/ocb/ocb_shift_xor.o src/encauth/ocb/ocb_test.o src/encauth/ocb/s_ocb_done.o \ -src/hashes/chc/chc.o src/hashes/helper/hash_file.o src/hashes/helper/hash_filehandle.o \ -src/hashes/helper/hash_memory.o src/hashes/helper/hash_memory_multi.o src/hashes/md2.o src/hashes/md4.o \ -src/hashes/md5.o src/hashes/rmd128.o src/hashes/rmd160.o src/hashes/sha1.o src/hashes/sha2/sha256.o \ -src/hashes/sha2/sha512.o src/hashes/tiger.o src/hashes/whirl/whirl.o src/mac/hmac/hmac_done.o \ -src/mac/hmac/hmac_file.o src/mac/hmac/hmac_init.o src/mac/hmac/hmac_memory.o \ -src/mac/hmac/hmac_memory_multi.o src/mac/hmac/hmac_process.o src/mac/hmac/hmac_test.o \ -src/mac/omac/omac_done.o src/mac/omac/omac_file.o src/mac/omac/omac_init.o src/mac/omac/omac_memory.o \ -src/mac/omac/omac_memory_multi.o src/mac/omac/omac_process.o src/mac/omac/omac_test.o \ -src/mac/pelican/pelican.o src/mac/pelican/pelican_memory.o src/mac/pelican/pelican_test.o \ -src/mac/pmac/pmac_done.o src/mac/pmac/pmac_file.o src/mac/pmac/pmac_init.o src/mac/pmac/pmac_memory.o \ -src/mac/pmac/pmac_memory_multi.o src/mac/pmac/pmac_ntz.o src/mac/pmac/pmac_process.o \ -src/mac/pmac/pmac_shift_xor.o src/mac/pmac/pmac_test.o src/misc/base64/base64_decode.o \ -src/misc/base64/base64_encode.o src/misc/burn_stack.o src/misc/crypt/crypt.o \ -src/misc/crypt/crypt_argchk.o src/misc/crypt/crypt_cipher_descriptor.o \ -src/misc/crypt/crypt_cipher_is_valid.o src/misc/crypt/crypt_find_cipher.o \ -src/misc/crypt/crypt_find_cipher_any.o src/misc/crypt/crypt_find_cipher_id.o \ -src/misc/crypt/crypt_find_hash.o src/misc/crypt/crypt_find_hash_any.o \ -src/misc/crypt/crypt_find_hash_id.o src/misc/crypt/crypt_find_prng.o \ -src/misc/crypt/crypt_hash_descriptor.o src/misc/crypt/crypt_hash_is_valid.o \ -src/misc/crypt/crypt_prng_descriptor.o src/misc/crypt/crypt_prng_is_valid.o \ -src/misc/crypt/crypt_register_cipher.o src/misc/crypt/crypt_register_hash.o \ -src/misc/crypt/crypt_register_prng.o src/misc/crypt/crypt_unregister_cipher.o \ -src/misc/crypt/crypt_unregister_hash.o src/misc/crypt/crypt_unregister_prng.o \ -src/misc/error_to_string.o src/misc/mpi/is_prime.o src/misc/mpi/mpi_to_ltc_error.o \ -src/misc/mpi/rand_prime.o src/misc/pkcs5/pkcs_5_1.o src/misc/pkcs5/pkcs_5_2.o src/misc/zeromem.o \ -src/modes/cbc/cbc_decrypt.o src/modes/cbc/cbc_done.o src/modes/cbc/cbc_encrypt.o \ -src/modes/cbc/cbc_getiv.o src/modes/cbc/cbc_setiv.o src/modes/cbc/cbc_start.o \ -src/modes/cfb/cfb_decrypt.o src/modes/cfb/cfb_done.o src/modes/cfb/cfb_encrypt.o \ -src/modes/cfb/cfb_getiv.o src/modes/cfb/cfb_setiv.o src/modes/cfb/cfb_start.o \ -src/modes/ctr/ctr_decrypt.o src/modes/ctr/ctr_done.o src/modes/ctr/ctr_encrypt.o \ -src/modes/ctr/ctr_getiv.o src/modes/ctr/ctr_setiv.o src/modes/ctr/ctr_start.o \ -src/modes/ecb/ecb_decrypt.o src/modes/ecb/ecb_done.o src/modes/ecb/ecb_encrypt.o \ -src/modes/ecb/ecb_start.o src/modes/ofb/ofb_decrypt.o src/modes/ofb/ofb_done.o \ -src/modes/ofb/ofb_encrypt.o src/modes/ofb/ofb_getiv.o src/modes/ofb/ofb_setiv.o \ -src/modes/ofb/ofb_start.o src/pk/asn1/der/der_decode_integer.o src/pk/asn1/der/der_encode_integer.o \ -src/pk/asn1/der/der_get_multi_integer.o src/pk/asn1/der/der_length_integer.o \ -src/pk/asn1/der/der_put_multi_integer.o src/pk/dh/dh.o src/pk/dsa/dsa_export.o src/pk/dsa/dsa_free.o \ -src/pk/dsa/dsa_import.o src/pk/dsa/dsa_make_key.o src/pk/dsa/dsa_sign_hash.o \ -src/pk/dsa/dsa_verify_hash.o src/pk/dsa/dsa_verify_key.o src/pk/ecc/ecc.o src/pk/packet_store_header.o \ -src/pk/packet_valid_header.o src/pk/pkcs1/pkcs_1_i2osp.o src/pk/pkcs1/pkcs_1_mgf1.o \ -src/pk/pkcs1/pkcs_1_oaep_decode.o src/pk/pkcs1/pkcs_1_oaep_encode.o src/pk/pkcs1/pkcs_1_os2ip.o \ -src/pk/pkcs1/pkcs_1_pss_decode.o src/pk/pkcs1/pkcs_1_pss_encode.o src/pk/pkcs1/pkcs_1_v15_es_decode.o \ -src/pk/pkcs1/pkcs_1_v15_es_encode.o src/pk/pkcs1/pkcs_1_v15_sa_decode.o \ -src/pk/pkcs1/pkcs_1_v15_sa_encode.o src/pk/rsa/rsa_decrypt_key.o src/pk/rsa/rsa_encrypt_key.o \ -src/pk/rsa/rsa_export.o src/pk/rsa/rsa_exptmod.o src/pk/rsa/rsa_free.o src/pk/rsa/rsa_import.o \ -src/pk/rsa/rsa_make_key.o src/pk/rsa/rsa_sign_hash.o src/pk/rsa/rsa_v15_decrypt_key.o \ -src/pk/rsa/rsa_v15_encrypt_key.o src/pk/rsa/rsa_v15_sign_hash.o src/pk/rsa/rsa_v15_verify_hash.o \ -src/pk/rsa/rsa_verify_hash.o src/prngs/fortuna.o src/prngs/rc4.o src/prngs/rng_get_bytes.o \ -src/prngs/rng_make_prng.o src/prngs/sober128.o src/prngs/sprng.o src/prngs/yarrow.o - -HEADERS=src/headers/tommath_superclass.h src/headers/tomcrypt_cfg.h \ -src/headers/tomcrypt_mac.h src/headers/tomcrypt_macros.h \ -src/headers/tomcrypt_custom.h src/headers/tomcrypt_argchk.h \ -src/headers/tomcrypt_cipher.h src/headers/tomcrypt_pk.h \ -src/headers/tommath_class.h src/headers/ltc_tommath.h src/headers/tomcrypt_hash.h \ -src/headers/tomcrypt_misc.h src/headers/tomcrypt.h src/headers/tomcrypt_pkcs.h \ -src/headers/tomcrypt_prng.h testprof/tomcrypt_test.h - -TESTOBJECTS=demos/test.o -HASHOBJECTS=demos/hashsum.o -CRYPTOBJECTS=demos/encrypt.o -SMALLOBJECTS=demos/small.o -TVS=demos/tv_gen.o -MULTIS=demos/multi.o -TIMINGS=demos/timing.o -TESTS=demos/test.o - -#Files left over from making the crypt.pdf. -LEFTOVERS=*.dvi *.log *.aux *.toc *.idx *.ilg *.ind *.out - -#Compressed filenames -COMPRESSED=crypt-$(VERSION).tar.bz2 crypt-$(VERSION).zip - -#The default rule for make builds the libtomcrypt library. -default:library - -#ciphers come in two flavours... enc+dec and enc -src/ciphers/aes/aes_enc.o: src/ciphers/aes/aes.c src/ciphers/aes/aes_tab.c - $(CC) $(CFLAGS) -DENCRYPT_ONLY -c src/ciphers/aes/aes.c -o src/ciphers/aes/aes_enc.o - -#These are the rules to make certain object files. -src/ciphers/aes/aes.o: src/ciphers/aes/aes.c src/ciphers/aes/aes_tab.c -src/ciphers/twofish/twofish.o: src/ciphers/twofish/twofish.c src/ciphers/twofish/twofish_tab.c -src/hashes/whirl/whirl.o: src/hashes/whirl/whirl.c src/hashes/whirl/whirltab.c -src/pk/ecc/ecc.o: src/pk/ecc/ecc.c src/pk/ecc/ecc_sys.c -src/pk/dh/dh.o: src/pk/dh/dh.c src/pk/dh/dh_sys.c -src/hashes/sha2/sha512.o: src/hashes/sha2/sha512.c src/hashes/sha2/sha384.c -src/hashes/sha2/sha256.o: src/hashes/sha2/sha256.c src/hashes/sha2/sha224.c - -#This rule makes the libtomcrypt library. -library: $(LIBTEST) $(LIBNAME) - -$(LIBTEST): - cd testprof ; CFLAGS="$(CFLAGS)" make - -$(LIBNAME): $(OBJECTS) - $(AR) $(ARFLAGS) $@ $(OBJECTS) - ranlib $(LIBNAME) - -#This rule makes the hash program included with libtomcrypt -hashsum: library $(HASHOBJECTS) - $(CC) $(HASHOBJECTS) $(LIBNAME) -o $(HASH) $(WARN) - -#makes the crypt program -crypt: library $(CRYPTOBJECTS) - $(CC) $(CRYPTOBJECTS) $(LIBNAME) -o $(CRYPT) $(WARN) - -#makes the small program -small: library $(SMALLOBJECTS) - $(CC) $(SMALLOBJECTS) $(LIBNAME) -o $(SMALL) $(WARN) - -tv_gen: library $(TVS) - $(CC) $(TVS) $(LIBNAME) $(EXTRALIBS) -o $(TV) - -multi: library $(MULTIS) - $(CC) $(MULTIS) $(LIBNAME) -o $(MULTI) - -timing: library $(TIMINGS) - $(CC) $(TIMINGS) $(LIBTEST) $(LIBNAME) -o $(TIMING) - -test: library $(TESTS) - $(CC) $(TESTS) $(LIBTEST) $(LIBNAME) -o $(TEST) - - -#This rule installs the library and the header files. This must be run -#as root in order to have a high enough permission to write to the correct -#directories and to set the owner and group to root. -install: library docs - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(DATAPATH) - install -g $(GROUP) -o $(USER) $(LIBNAME) $(DESTDIR)$(LIBPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) doc/crypt.pdf $(DESTDIR)$(DATAPATH) - -install_lib: library - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) $(LIBNAME) $(DESTDIR)$(LIBPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) - -#This rule cleans the source tree of all compiled code, not including the pdf -#documentation. -clean: - rm -f `find . -type f | grep "[.]o" | xargs` - rm -f `find . -type f | grep "[.]lo" | xargs` - rm -f `find . -type f | grep "[.]a" | xargs` - rm -f `find . -type f | grep "[.]la" | xargs` - rm -f `find . -type f | grep "[.]obj" | xargs` - rm -f `find . -type f | grep "[.]lib" | xargs` - rm -f `find . -type f | grep "[.]exe" | xargs` - rm -f `find . -type f | grep "[.]gcda" | xargs` - rm -f `find . -type f | grep "[.]gcno" | xargs` - rm -f `find . -type f | grep "[.]il" | xargs` - rm -f `find . -type f | grep "[.]dyn" | xargs` - rm -f `find . -type f | grep "[.]dpi" | xargs` - rm -rf `find . -type d | grep "[.]libs" | xargs` - rm -f crypt.aux crypt.dvi crypt.idx crypt.ilg crypt.ind crypt.log crypt.toc - rm -f $(TV) $(PROF) $(SMALL) $(CRYPT) $(HASHSUM) $(MULTI) $(TIMING) $(TEST) - rm -rf doc/doxygen - rm -f doc/*.pdf - -#build the doxy files (requires Doxygen, tetex and patience) -doxy: - doxygen - cd doc/doxygen/latex ; make ; mv -f refman.pdf ../../. - echo The huge doxygen PDF should be available as doc/refman.pdf - -#This builds the crypt.pdf file. Note that the rm -f *.pdf has been removed -#from the clean command! This is because most people would like to keep the -#nice pre-compiled crypt.pdf that comes with libtomcrypt! We only need to -#delete it if we are rebuilding it. -docs: crypt.tex - rm -f doc/crypt.pdf $(LEFTOVERS) - echo "hello" > crypt.ind - latex crypt > /dev/null - latex crypt > /dev/null - makeindex crypt.idx > /dev/null - latex crypt > /dev/null - dvipdf crypt - mv -ivf crypt.pdf doc/crypt.pdf - rm -f $(LEFTOVERS) - -docdvi: crypt.tex - echo hello > crypt.ind - latex crypt > /dev/null - latex crypt > /dev/null - makeindex crypt.idx - latex crypt > /dev/null - -#zipup the project (take that!) -no_oops: clean - cd .. ; cvs commit - -zipup: no_oops docs - cd .. ; rm -rf crypt* libtomcrypt-$(VERSION) ; mkdir libtomcrypt-$(VERSION) ; \ - cp -R ./libtomcrypt/* ./libtomcrypt-$(VERSION)/ ; \ - cd libtomcrypt-$(VERSION) ; rm -rf `find . -type d | grep CVS | xargs` ; cd .. ; \ - tar -cjvf crypt-$(VERSION).tar.bz2 libtomcrypt-$(VERSION) ; \ - zip -9r crypt-$(VERSION).zip libtomcrypt-$(VERSION) ; \ - gpg -b -a crypt-$(VERSION).tar.bz2 ; gpg -b -a crypt-$(VERSION).zip ; \ - mv -fv crypt* ~ ; rm -rf libtomcrypt-$(VERSION)
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/mycrypt_gf.h Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,32 @@ + +/* ---- GF(2^w) polynomial basis ---- */ +#ifdef GF +#define LSIZE 32 /* handle upto 1024-bit GF numbers */ + +typedef unsigned long gf_int[LSIZE]; +typedef unsigned long *gf_intp; + +extern void gf_copy(gf_intp a, gf_intp b); +extern void gf_zero(gf_intp a); +extern int gf_iszero(gf_intp a); +extern int gf_isone(gf_intp a); +extern int gf_deg(gf_intp a); + +extern void gf_shl(gf_intp a, gf_intp b); +extern void gf_shr(gf_intp a, gf_intp b); +extern void gf_add(gf_intp a, gf_intp b, gf_intp c); +extern void gf_mul(gf_intp a, gf_intp b, gf_intp c); +extern void gf_div(gf_intp a, gf_intp b, gf_intp q, gf_intp r); + +extern void gf_mod(gf_intp a, gf_intp m, gf_intp b); +extern void gf_mulmod(gf_intp a, gf_intp b, gf_intp m, gf_intp c); +extern void gf_invmod(gf_intp A, gf_intp M, gf_intp B); +extern void gf_sqrt(gf_intp a, gf_intp M, gf_intp b); +extern void gf_gcd(gf_intp A, gf_intp B, gf_intp c); +extern int gf_is_prime(gf_intp a); + +extern int gf_size(gf_intp a); +extern void gf_toraw(gf_intp a, unsigned char *dst); +extern void gf_readraw(gf_intp a, unsigned char *str, int len); + +#endif
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/rsa.c Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,273 @@ +/* LibTomCrypt, modular cryptographic library -- Tom St Denis + * + * LibTomCrypt is a library that provides various cryptographic + * algorithms in a highly modular and flexible manner. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, [email protected], http://libtomcrypt.org + */ + +/* RSA Code by Tom St Denis */ +#include "mycrypt.h" + +#ifdef MRSA + +int rsa_signpad(const unsigned char *in, unsigned long inlen, + unsigned char *out, unsigned long *outlen) +{ + unsigned long x, y; + + _ARGCHK(in != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + if (*outlen < (3 * inlen)) { + return CRYPT_BUFFER_OVERFLOW; + } + + /* check inlen */ + if (inlen > MAX_RSA_SIZE/8) { + return CRYPT_PK_INVALID_SIZE; + } + + for (y = x = 0; x < inlen; x++) + out[y++] = (unsigned char)0xFF; + for (x = 0; x < inlen; x++) + out[y++] = in[x]; + for (x = 0; x < inlen; x++) + out[y++] = (unsigned char)0xFF; + *outlen = 3 * inlen; + return CRYPT_OK; +} + +int rsa_pad(const unsigned char *in, unsigned long inlen, + unsigned char *out, unsigned long *outlen, + int wprng, prng_state *prng) +{ + unsigned char buf[3*(MAX_RSA_SIZE/8)]; + unsigned long x; + int err; + + _ARGCHK(in != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + /* is output big enough? */ + if (*outlen < (3 * inlen)) { + return CRYPT_BUFFER_OVERFLOW; + } + + /* get random padding required */ + if ((err = prng_is_valid(wprng)) != CRYPT_OK) { + return err; + } + + /* check inlen */ + if (inlen > (MAX_RSA_SIZE/8)) { + return CRYPT_PK_INVALID_SIZE; + } + + if (prng_descriptor[wprng].read(buf, inlen*2-2, prng) != (inlen*2 - 2)) { + return CRYPT_ERROR_READPRNG; + } + + /* pad it like a sandwhich + * + * Looks like 0xFF R1 M R2 0xFF + * + * Where R1/R2 are random and exactly equal to the length of M minus one byte. + */ + for (x = 0; x < inlen-1; x++) { + out[x+1] = buf[x]; + } + + for (x = 0; x < inlen; x++) { + out[x+inlen] = in[x]; + } + + for (x = 0; x < inlen-1; x++) { + out[x+inlen+inlen] = buf[x+inlen-1]; + } + + /* last and first bytes are 0xFF */ + out[0] = out[inlen+inlen+inlen-1] = (unsigned char)0xFF; + + /* clear up and return */ +#ifdef CLEAN_STACK + zeromem(buf, sizeof(buf)); +#endif + *outlen = inlen*3; + return CRYPT_OK; +} + +int rsa_signdepad(const unsigned char *in, unsigned long inlen, + unsigned char *out, unsigned long *outlen) +{ + unsigned long x; + + _ARGCHK(in != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + if (*outlen < inlen/3) { + return CRYPT_BUFFER_OVERFLOW; + } + + /* check padding bytes */ + for (x = 0; x < inlen/3; x++) { + if (in[x] != (unsigned char)0xFF || in[x+(inlen/3)+(inlen/3)] != (unsigned char)0xFF) { + return CRYPT_INVALID_PACKET; + } + } + for (x = 0; x < inlen/3; x++) { + out[x] = in[x+(inlen/3)]; + } + *outlen = inlen/3; + return CRYPT_OK; +} + +int rsa_depad(const unsigned char *in, unsigned long inlen, + unsigned char *out, unsigned long *outlen) +{ + unsigned long x; + + _ARGCHK(in != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + + if (*outlen < inlen/3) { + return CRYPT_BUFFER_OVERFLOW; + } + for (x = 0; x < inlen/3; x++) { + out[x] = in[x+(inlen/3)]; + } + *outlen = inlen/3; + return CRYPT_OK; +} + +int rsa_export(unsigned char *out, unsigned long *outlen, int type, rsa_key *key) +{ + unsigned long y, z; + int err; + + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + _ARGCHK(key != NULL); + + /* can we store the static header? */ + if (*outlen < (PACKET_SIZE + 1)) { + return CRYPT_BUFFER_OVERFLOW; + } + + /* type valid? */ + if (!(key->type == PK_PRIVATE || key->type == PK_PRIVATE_OPTIMIZED) && + (type == PK_PRIVATE || type == PK_PRIVATE_OPTIMIZED)) { + return CRYPT_PK_INVALID_TYPE; + } + + /* start at offset y=PACKET_SIZE */ + y = PACKET_SIZE; + + /* output key type */ + out[y++] = type; + + /* output modulus */ + OUTPUT_BIGNUM(&key->N, out, y, z); + + /* output public key */ + OUTPUT_BIGNUM(&key->e, out, y, z); + + if (type == PK_PRIVATE || type == PK_PRIVATE_OPTIMIZED) { + OUTPUT_BIGNUM(&key->d, out, y, z); + } + + if (type == PK_PRIVATE_OPTIMIZED) { + OUTPUT_BIGNUM(&key->dQ, out, y, z); + OUTPUT_BIGNUM(&key->dP, out, y, z); + OUTPUT_BIGNUM(&key->pQ, out, y, z); + OUTPUT_BIGNUM(&key->qP, out, y, z); + OUTPUT_BIGNUM(&key->p, out, y, z); + OUTPUT_BIGNUM(&key->q, out, y, z); + } + + /* store packet header */ + packet_store_header(out, PACKET_SECT_RSA, PACKET_SUB_KEY); + + /* copy to the user buffer */ + *outlen = y; + + /* clear stack and return */ + return CRYPT_OK; +} + +int rsa_import(const unsigned char *in, unsigned long inlen, rsa_key *key) +{ + unsigned long x, y; + int err; + + _ARGCHK(in != NULL); + _ARGCHK(key != NULL); + + /* check length */ + if (inlen < (1+PACKET_SIZE)) { + return CRYPT_INVALID_PACKET; + } + + /* test packet header */ + if ((err = packet_valid_header((unsigned char *)in, PACKET_SECT_RSA, PACKET_SUB_KEY)) != CRYPT_OK) { + return err; + } + + /* init key */ + if ((err = mp_init_multi(&key->e, &key->d, &key->N, &key->dQ, &key->dP, &key->qP, + &key->pQ, &key->p, &key->q, NULL)) != MP_OKAY) { + return mpi_to_ltc_error(err); + } + + /* get key type */ + y = PACKET_SIZE; + key->type = (int)in[y++]; + + /* load the modulus */ + INPUT_BIGNUM(&key->N, in, x, y, inlen); + + /* load public exponent */ + INPUT_BIGNUM(&key->e, in, x, y, inlen); + + /* get private exponent */ + if (key->type == PK_PRIVATE || key->type == PK_PRIVATE_OPTIMIZED) { + INPUT_BIGNUM(&key->d, in, x, y, inlen); + } + + /* get CRT private data if required */ + if (key->type == PK_PRIVATE_OPTIMIZED) { + INPUT_BIGNUM(&key->dQ, in, x, y, inlen); + INPUT_BIGNUM(&key->dP, in, x, y, inlen); + INPUT_BIGNUM(&key->pQ, in, x, y, inlen); + INPUT_BIGNUM(&key->qP, in, x, y, inlen); + INPUT_BIGNUM(&key->p, in, x, y, inlen); + INPUT_BIGNUM(&key->q, in, x, y, inlen); + } + + /* free up ram not required */ + if (key->type != PK_PRIVATE_OPTIMIZED) { + mp_clear_multi(&key->dQ, &key->dP, &key->pQ, &key->qP, &key->p, &key->q, NULL); + } + if (key->type != PK_PRIVATE && key->type != PK_PRIVATE_OPTIMIZED) { + mp_clear(&key->d); + } + + return CRYPT_OK; +error: + mp_clear_multi(&key->d, &key->e, &key->N, &key->dQ, &key->dP, + &key->pQ, &key->qP, &key->p, &key->q, NULL); + return err; +} + +#include "rsa_sys.c" + +#endif /* RSA */ + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/rsa_sys.c Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,274 @@ +/* LibTomCrypt, modular cryptographic library -- Tom St Denis + * + * LibTomCrypt is a library that provides various cryptographic + * algorithms in a highly modular and flexible manner. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, [email protected], http://libtomcrypt.org + */ + +/* these are smaller routines written by Clay Culver. They do the same function as the rsa_encrypt/decrypt + * except that they are used to RSA encrypt/decrypt a single value and not a packet. + */ +int rsa_encrypt_key(const unsigned char *inkey, unsigned long inlen, + unsigned char *outkey, unsigned long *outlen, + prng_state *prng, int wprng, rsa_key *key) +{ + unsigned char rsa_in[RSA_STACK], rsa_out[RSA_STACK]; + unsigned long x, y, rsa_size; + int err; + + _ARGCHK(inkey != NULL); + _ARGCHK(outkey != NULL); + _ARGCHK(outlen != NULL); + _ARGCHK(key != NULL); + + /* only allow keys from 64 to 256 bits */ + if (inlen < 8 || inlen > 32) { + return CRYPT_INVALID_ARG; + } + + /* are the parameters valid? */ + if ((err = prng_is_valid(wprng)) != CRYPT_OK) { + return err; + } + + /* rsa_pad the symmetric key */ + y = (unsigned long)sizeof(rsa_in); + if ((err = rsa_pad(inkey, inlen, rsa_in, &y, wprng, prng)) != CRYPT_OK) { + return CRYPT_ERROR; + } + + /* rsa encrypt it */ + rsa_size = (unsigned long)sizeof(rsa_out); + if ((err = rsa_exptmod(rsa_in, y, rsa_out, &rsa_size, PK_PUBLIC, key)) != CRYPT_OK) { + return CRYPT_ERROR; + } + + /* check size */ + if (*outlen < (PACKET_SIZE+4+rsa_size)) { + return CRYPT_BUFFER_OVERFLOW; + } + + /* store header */ + packet_store_header(outkey, PACKET_SECT_RSA, PACKET_SUB_ENC_KEY); + + /* now lets make the header */ + y = PACKET_SIZE; + + /* store the size of the RSA value */ + STORE32L(rsa_size, (outkey+y)); + y += 4; + + /* store the rsa value */ + for (x = 0; x < rsa_size; x++, y++) { + outkey[y] = rsa_out[x]; + } + + *outlen = y; +#ifdef CLEAN_STACK + /* clean up */ + zeromem(rsa_in, sizeof(rsa_in)); + zeromem(rsa_out, sizeof(rsa_out)); +#endif + + return CRYPT_OK; +} + +int rsa_decrypt_key(const unsigned char *in, unsigned long inlen, + unsigned char *outkey, unsigned long *keylen, + rsa_key *key) +{ + unsigned char sym_key[MAXBLOCKSIZE], rsa_out[RSA_STACK]; + unsigned long x, y, z, i, rsa_size; + int err; + + _ARGCHK(in != NULL); + _ARGCHK(outkey != NULL); + _ARGCHK(keylen != NULL); + _ARGCHK(key != NULL); + + /* right key type? */ + if (key->type != PK_PRIVATE && key->type != PK_PRIVATE_OPTIMIZED) { + return CRYPT_PK_NOT_PRIVATE; + } + + if (inlen < PACKET_SIZE+4) { + return CRYPT_INVALID_PACKET; + } else { + inlen -= PACKET_SIZE+4; + } + + /* check the header */ + if ((err = packet_valid_header((unsigned char *)in, PACKET_SECT_RSA, PACKET_SUB_ENC_KEY)) != CRYPT_OK) { + return err; + } + + /* grab length of the rsa key */ + y = PACKET_SIZE; + LOAD32L(rsa_size, (in+y)); + if (inlen < rsa_size) { + return CRYPT_INVALID_PACKET; + } else { + inlen -= rsa_size; + } + y += 4; + + /* decrypt it */ + x = (unsigned long)sizeof(rsa_out); + if ((err = rsa_exptmod(in+y, rsa_size, rsa_out, &x, PK_PRIVATE, key)) != CRYPT_OK) { + return err; + } + y += rsa_size; + + /* depad it */ + z = (unsigned long)sizeof(sym_key); + if ((err = rsa_depad(rsa_out, x, sym_key, &z)) != CRYPT_OK) { + return err; + } + + /* check size */ + if (*keylen < z) { + return CRYPT_BUFFER_OVERFLOW; + } + + for (i = 0; i < z; i++) { + outkey[i] = sym_key[i]; + } + +#ifdef CLEAN_STACK + /* clean up */ + zeromem(sym_key, sizeof(sym_key)); + zeromem(rsa_out, sizeof(rsa_out)); +#endif + *keylen = z; + return CRYPT_OK; +} + +int rsa_sign_hash(const unsigned char *in, unsigned long inlen, + unsigned char *out, unsigned long *outlen, + rsa_key *key) +{ + unsigned long rsa_size, x, y; + unsigned char rsa_in[RSA_STACK], rsa_out[RSA_STACK]; + int err; + + _ARGCHK(in != NULL); + _ARGCHK(out != NULL); + _ARGCHK(outlen != NULL); + _ARGCHK(key != NULL); + + /* reject nonsense sizes */ + if (inlen > (512/3) || inlen < 16) { + return CRYPT_INVALID_ARG; + } + + /* type of key? */ + if (key->type != PK_PRIVATE && key->type != PK_PRIVATE_OPTIMIZED) { + return CRYPT_PK_NOT_PRIVATE; + } + + /* pad it */ + x = (unsigned long)sizeof(rsa_out); + if ((err = rsa_signpad(in, inlen, rsa_out, &x)) != CRYPT_OK) { + return err; + } + + /* sign it */ + rsa_size = (unsigned long)sizeof(rsa_in); + if ((err = rsa_exptmod(rsa_out, x, rsa_in, &rsa_size, PK_PRIVATE, key)) != CRYPT_OK) { + return err; + } + + /* check size */ + if (*outlen < (PACKET_SIZE+4+rsa_size)) { + return CRYPT_BUFFER_OVERFLOW; + } + + /* now lets output the message */ + y = PACKET_SIZE; + + /* output the len */ + STORE32L(rsa_size, (out+y)); + y += 4; + + /* store the signature */ + for (x = 0; x < rsa_size; x++, y++) { + out[y] = rsa_in[x]; + } + + /* store header */ + packet_store_header(out, PACKET_SECT_RSA, PACKET_SUB_SIGNED); + +#ifdef CLEAN_STACK + /* clean up */ + zeromem(rsa_in, sizeof(rsa_in)); + zeromem(rsa_out, sizeof(rsa_out)); +#endif + *outlen = y; + return CRYPT_OK; +} + +int rsa_verify_hash(const unsigned char *sig, unsigned long siglen, + const unsigned char *md, int *stat, rsa_key *key) +{ + unsigned long rsa_size, x, y, z; + unsigned char rsa_in[RSA_STACK], rsa_out[RSA_STACK]; + int err; + + _ARGCHK(sig != NULL); + _ARGCHK(md != NULL); + _ARGCHK(stat != NULL); + _ARGCHK(key != NULL); + + /* always be incorrect by default */ + *stat = 0; + + if (siglen < PACKET_SIZE+4) { + return CRYPT_INVALID_PACKET; + } else { + siglen -= PACKET_SIZE+4; + } + + /* verify header */ + if ((err = packet_valid_header((unsigned char *)sig, PACKET_SECT_RSA, PACKET_SUB_SIGNED)) != CRYPT_OK) { + return err; + } + + /* get the len */ + y = PACKET_SIZE; + LOAD32L(rsa_size, (sig+y)); + if (siglen < rsa_size) { + return CRYPT_INVALID_PACKET; + } else { + siglen -= rsa_size; + } + y += 4; + + /* exptmod it */ + x = (unsigned long)sizeof(rsa_out); + if ((err = rsa_exptmod(sig+y, rsa_size, rsa_out, &x, PK_PUBLIC, key)) != CRYPT_OK) { + return err; + } + y += rsa_size; + + /* depad it */ + z = (unsigned long)sizeof(rsa_in); + if ((err = rsa_signdepad(rsa_out, x, rsa_in, &z)) != CRYPT_OK) { + return err; + } + + /* check? */ + if (memcmp(rsa_in, md, (size_t)z) == 0) { + *stat = 1; + } + +#ifdef CLEAN_STACK + zeromem(rsa_in, sizeof(rsa_in)); + zeromem(rsa_out, sizeof(rsa_out)); +#endif + return CRYPT_OK; +} +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/serpent.c Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,698 @@ +#include "mycrypt.h" + +#ifdef SERPENT + +const struct _cipher_descriptor serpent_desc = +{ + "serpent", + 5, + 16, 32, 16, 32, + &serpent_setup, + &serpent_ecb_encrypt, + &serpent_ecb_decrypt, + &serpent_test, + &serpent_keysize +}; + +/* These defines are derived from Brian Gladman's work. Contact him at [email protected] + * + * Available on the web at http://fp.gladman.plus.com/cryptography_technology/aes/index.htm + */ +#define sb0(a,b,c,d,e,f,g,h) \ + t1 = a ^ d; \ + t2 = a & d; \ + t3 = c ^ t1; \ + t6 = b & t1; \ + t4 = b ^ t3; \ + t10 = ~t3; \ + h = t2 ^ t4; \ + t7 = a ^ t6; \ + t14 = ~t7; \ + t8 = c | t7; \ + t11 = t3 ^ t7; \ + g = t4 ^ t8; \ + t12 = h & t11; \ + f = t10 ^ t12; \ + e = t12 ^ t14 + +/* 15 terms */ + +#define ib0(a,b,c,d,e,f,g,h) \ + t1 = ~a; \ + t2 = a ^ b; \ + t3 = t1 | t2; \ + t4 = d ^ t3; \ + t7 = d & t2; \ + t5 = c ^ t4; \ + t8 = t1 ^ t7; \ + g = t2 ^ t5; \ + t11 = a & t4; \ + t9 = g & t8; \ + t14 = t5 ^ t8; \ + f = t4 ^ t9; \ + t12 = t5 | f; \ + h = t11 ^ t12; \ + e = h ^ t14 + +/* 14 terms! */ + +#define sb1(a,b,c,d,e,f,g,h) \ + t1 = ~a; \ + t2 = b ^ t1; \ + t3 = a | t2; \ + t4 = d | t2; \ + t5 = c ^ t3; \ + g = d ^ t5; \ + t7 = b ^ t4; \ + t8 = t2 ^ g; \ + t9 = t5 & t7; \ + h = t8 ^ t9; \ + t11 = t5 ^ t7; \ + f = h ^ t11; \ + t13 = t8 & t11; \ + e = t5 ^ t13 + +/* 17 terms */ + +#define ib1(a,b,c,d,e,f,g,h) \ + t1 = a ^ d; \ + t2 = a & b; \ + t3 = b ^ c; \ + t4 = a ^ t3; \ + t5 = b | d; \ + t7 = c | t1; \ + h = t4 ^ t5; \ + t8 = b ^ t7; \ + t11 = ~t2; \ + t9 = t4 & t8; \ + f = t1 ^ t9; \ + t13 = t9 ^ t11; \ + t12 = h & f; \ + g = t12 ^ t13; \ + t15 = a & d; \ + t16 = c ^ t13; \ + e = t15 ^ t16 + +/* 16 terms */ + +#define sb2(a,b,c,d,e,f,g,h) \ + t1 = ~a; \ + t2 = b ^ d; \ + t3 = c & t1; \ + t13 = d | t1; \ + e = t2 ^ t3; \ + t5 = c ^ t1; \ + t6 = c ^ e; \ + t7 = b & t6; \ + t10 = e | t5; \ + h = t5 ^ t7; \ + t9 = d | t7; \ + t11 = t9 & t10; \ + t14 = t2 ^ h; \ + g = a ^ t11; \ + t15 = g ^ t13; \ + f = t14 ^ t15 + +/* 16 terms */ + +#define ib2(a,b,c,d,e,f,g,h) \ + t1 = b ^ d; \ + t2 = ~t1; \ + t3 = a ^ c; \ + t4 = c ^ t1; \ + t7 = a | t2; \ + t5 = b & t4; \ + t8 = d ^ t7; \ + t11 = ~t4; \ + e = t3 ^ t5; \ + t9 = t3 | t8; \ + t14 = d & t11; \ + h = t1 ^ t9; \ + t12 = e | h; \ + f = t11 ^ t12; \ + t15 = t3 ^ t12; \ + g = t14 ^ t15 + +/* 17 terms */ + +#define sb3(a,b,c,d,e,f,g,h) \ + t1 = a ^ c; \ + t2 = d ^ t1; \ + t3 = a & t2; \ + t4 = d ^ t3; \ + t5 = b & t4; \ + g = t2 ^ t5; \ + t7 = a | g; \ + t8 = b | d; \ + t11 = a | d; \ + t9 = t4 & t7; \ + f = t8 ^ t9; \ + t12 = b ^ t11; \ + t13 = g ^ t9; \ + t15 = t3 ^ t8; \ + h = t12 ^ t13; \ + t16 = c & t15; \ + e = t12 ^ t16 + +/* 16 term solution that performs less well than 17 term one + in my environment (PPro/PII) + +#define sb3(a,b,c,d,e,f,g,h) \ + t1 = a ^ b; \ + t2 = a & c; \ + t3 = a | d; \ + t4 = c ^ d; \ + t5 = t1 & t3; \ + t6 = t2 | t5; \ + g = t4 ^ t6; \ + t8 = b ^ t3; \ + t9 = t6 ^ t8; \ + t10 = t4 & t9; \ + e = t1 ^ t10; \ + t12 = g & e; \ + f = t9 ^ t12; \ + t14 = b | d; \ + t15 = t4 ^ t12; \ + h = t14 ^ t15 +*/ + +/* 17 terms */ + +#define ib3(a,b,c,d,e,f,g,h) \ + t1 = b ^ c; \ + t2 = b | c; \ + t3 = a ^ c; \ + t7 = a ^ d; \ + t4 = t2 ^ t3; \ + t5 = d | t4; \ + t9 = t2 ^ t7; \ + e = t1 ^ t5; \ + t8 = t1 | t5; \ + t11 = a & t4; \ + g = t8 ^ t9; \ + t12 = e | t9; \ + f = t11 ^ t12; \ + t14 = a & g; \ + t15 = t2 ^ t14; \ + t16 = e & t15; \ + h = t4 ^ t16 + +/* 15 terms */ + +#define sb4(a,b,c,d,e,f,g,h) \ + t1 = a ^ d; \ + t2 = d & t1; \ + t3 = c ^ t2; \ + t4 = b | t3; \ + h = t1 ^ t4; \ + t6 = ~b; \ + t7 = t1 | t6; \ + e = t3 ^ t7; \ + t9 = a & e; \ + t10 = t1 ^ t6; \ + t11 = t4 & t10; \ + g = t9 ^ t11; \ + t13 = a ^ t3; \ + t14 = t10 & g; \ + f = t13 ^ t14 + +/* 17 terms */ + +#define ib4(a,b,c,d,e,f,g,h) \ + t1 = c ^ d; \ + t2 = c | d; \ + t3 = b ^ t2; \ + t4 = a & t3; \ + f = t1 ^ t4; \ + t6 = a ^ d; \ + t7 = b | d; \ + t8 = t6 & t7; \ + h = t3 ^ t8; \ + t10 = ~a; \ + t11 = c ^ h; \ + t12 = t10 | t11;\ + e = t3 ^ t12; \ + t14 = c | t4; \ + t15 = t7 ^ t14; \ + t16 = h | t10; \ + g = t15 ^ t16 + +/* 16 terms */ + +#define sb5(a,b,c,d,e,f,g,h) \ + t1 = ~a; \ + t2 = a ^ b; \ + t3 = a ^ d; \ + t4 = c ^ t1; \ + t5 = t2 | t3; \ + e = t4 ^ t5; \ + t7 = d & e; \ + t8 = t2 ^ e; \ + t10 = t1 | e; \ + f = t7 ^ t8; \ + t11 = t2 | t7; \ + t12 = t3 ^ t10; \ + t14 = b ^ t7; \ + g = t11 ^ t12; \ + t15 = f & t12; \ + h = t14 ^ t15 + +/* 16 terms */ + +#define ib5(a,b,c,d,e,f,g,h) \ + t1 = ~c; \ + t2 = b & t1; \ + t3 = d ^ t2; \ + t4 = a & t3; \ + t5 = b ^ t1; \ + h = t4 ^ t5; \ + t7 = b | h; \ + t8 = a & t7; \ + f = t3 ^ t8; \ + t10 = a | d; \ + t11 = t1 ^ t7; \ + e = t10 ^ t11; \ + t13 = a ^ c; \ + t14 = b & t10; \ + t15 = t4 | t13; \ + g = t14 ^ t15 + +/* 15 terms */ + +#define sb6(a,b,c,d,e,f,g,h) \ + t1 = ~a; \ + t2 = a ^ d; \ + t3 = b ^ t2; \ + t4 = t1 | t2; \ + t5 = c ^ t4; \ + f = b ^ t5; \ + t13 = ~t5; \ + t7 = t2 | f; \ + t8 = d ^ t7; \ + t9 = t5 & t8; \ + g = t3 ^ t9; \ + t11 = t5 ^ t8; \ + e = g ^ t11; \ + t14 = t3 & t11; \ + h = t13 ^ t14 + +/* 15 terms */ + +#define ib6(a,b,c,d,e,f,g,h) \ + t1 = ~a; \ + t2 = a ^ b; \ + t3 = c ^ t2; \ + t4 = c | t1; \ + t5 = d ^ t4; \ + t13 = d & t1; \ + f = t3 ^ t5; \ + t7 = t3 & t5; \ + t8 = t2 ^ t7; \ + t9 = b | t8; \ + h = t5 ^ t9; \ + t11 = b | h; \ + e = t8 ^ t11; \ + t14 = t3 ^ t11; \ + g = t13 ^ t14 + +/* 17 terms */ + +#define sb7(a,b,c,d,e,f,g,h) \ + t1 = ~c; \ + t2 = b ^ c; \ + t3 = b | t1; \ + t4 = d ^ t3; \ + t5 = a & t4; \ + t7 = a ^ d; \ + h = t2 ^ t5; \ + t8 = b ^ t5; \ + t9 = t2 | t8; \ + t11 = d & t3; \ + f = t7 ^ t9; \ + t12 = t5 ^ f; \ + t15 = t1 | t4; \ + t13 = h & t12; \ + g = t11 ^ t13; \ + t16 = t12 ^ g; \ + e = t15 ^ t16 + +/* 17 terms */ + +#define ib7(a,b,c,d,e,f,g,h) \ + t1 = a & b; \ + t2 = a | b; \ + t3 = c | t1; \ + t4 = d & t2; \ + h = t3 ^ t4; \ + t6 = ~d; \ + t7 = b ^ t4; \ + t8 = h ^ t6; \ + t11 = c ^ t7; \ + t9 = t7 | t8; \ + f = a ^ t9; \ + t12 = d | f; \ + e = t11 ^ t12; \ + t14 = a & h; \ + t15 = t3 ^ f; \ + t16 = e ^ t14; \ + g = t15 ^ t16 + +#define k_xor(r,a,b,c,d) \ + a ^= skey->serpent.K[4 * (r) + 0]; \ + b ^= skey->serpent.K[4 * (r) + 1]; \ + c ^= skey->serpent.K[4 * (r) + 2]; \ + d ^= skey->serpent.K[4 * (r) + 3] + +#define k_set(r,a,b,c,d) \ + a = lkey[4 * (r) + 8]; \ + b = lkey[4 * (r) + 9]; \ + c = lkey[4 * (r) + 10]; \ + d = lkey[4 * (r) + 11] + +#define k_get(r,a,b,c,d) \ + skey->serpent.K[4 * (r) + 0] = a; \ + skey->serpent.K[4 * (r) + 1] = b; \ + skey->serpent.K[4 * (r) + 2] = c; \ + skey->serpent.K[4 * (r) + 3] = d + +/* the linear transformation and its inverse */ + +#define rot(a,b,c,d) \ + a = ROL(a, 13); \ + c = ROL(c, 3); \ + d ^= c ^ (a << 3); \ + b ^= a ^ c; \ + d = ROL(d, 7); \ + b = ROL(b, 1); \ + a ^= b ^ d; \ + c ^= d ^ (b << 7); \ + a = ROL(a, 5); \ + c = ROL(c, 22) + +#define irot(a,b,c,d) \ + c = ROR(c, 22); \ + a = ROR(a, 5); \ + c ^= d ^ (b << 7); \ + a ^= b ^ d; \ + d = ROR(d, 7); \ + b = ROR(b, 1); \ + d ^= c ^ (a << 3); \ + b ^= a ^ c; \ + c = ROR(c, 3); \ + a = ROR(a, 13) + +#ifdef CLEAN_STACK +static int _serpent_setup(const unsigned char *key, int keylen, int num_rounds, symmetric_key *skey) +#else +int serpent_setup(const unsigned char *key, int keylen, int num_rounds, symmetric_key *skey) +#endif +{ + unsigned long lkey[140], t, a, b, c, d, e, f, g, h, x; + unsigned long t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12,t13,t14,t15,t16; + unsigned char buf[32]; + + _ARGCHK(key != NULL); + _ARGCHK(skey != NULL); + + /* check rounds */ + if (num_rounds != 0 && num_rounds != 32) { + return CRYPT_INVALID_ROUNDS; + } + + /* check keylen */ + if (keylen < 16 || keylen > 32) { + return CRYPT_INVALID_KEYSIZE; + } + + /* copy key and expand to 32bytes as required */ + for (x = 0; x < (unsigned long)keylen; x++) { + buf[x] = key[x]; + } + + if (x < 32) { + buf[x++] = (unsigned char)0x01; + while (x < 32) { + buf[x++] = (unsigned char)0; + } + } + + /* copy key into 32-bit words */ + for (x = 0; x < 8; x++) { + LOAD32L(lkey[x], &buf[x*4]); + } + + /* expand using the LFSR to 140 words */ + for (x = 0; x < 132; x++) { + t = lkey[x] ^ lkey[x+3] ^ lkey[x+5] ^ lkey[x+7] ^ x ^ 0x9E3779B9UL; + lkey[x + 8] = ROL(t, 11); + } + + /* perform the substituions */ + for (x = 0; x < 32; ) { + k_set( x,a,b,c,d);sb3(a,b,c,d,e,f,g,h);k_get( x,e,f,g,h); ++x; + k_set( x,a,b,c,d);sb2(a,b,c,d,e,f,g,h);k_get( x,e,f,g,h); ++x; + k_set( x,a,b,c,d);sb1(a,b,c,d,e,f,g,h);k_get( x,e,f,g,h); ++x; + k_set( x,a,b,c,d);sb0(a,b,c,d,e,f,g,h);k_get( x,e,f,g,h); ++x; + k_set( x,a,b,c,d);sb7(a,b,c,d,e,f,g,h);k_get( x,e,f,g,h); ++x; + k_set( x,a,b,c,d);sb6(a,b,c,d,e,f,g,h);k_get( x,e,f,g,h); ++x; + k_set( x,a,b,c,d);sb5(a,b,c,d,e,f,g,h);k_get( x,e,f,g,h); ++x; + k_set( x,a,b,c,d);sb4(a,b,c,d,e,f,g,h);k_get( x,e,f,g,h); ++x; + } + k_set(32,a,b,c,d);sb3(a,b,c,d,e,f,g,h);k_get(32,e,f,g,h); + return CRYPT_OK; +} + +#ifdef CLEAN_STACK +int serpent_setup(const unsigned char *key, int keylen, int num_rounds, symmetric_key *skey) +{ + int x; + x = _serpent_setup(key, keylen, num_rounds, skey); + burn_stack(sizeof(unsigned long)*166 + sizeof(unsigned char)*32); + return x; +} +#endif + +#ifdef CLEAN_STACK +static void _serpent_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) +#else +void serpent_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) +#endif +{ + unsigned long a,b,c,d,e,f,g,h; + unsigned long t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12,t13,t14,t15,t16; + + _ARGCHK(pt != NULL); + _ARGCHK(ct != NULL); + _ARGCHK(skey != NULL); + + LOAD32L(a, &pt[0]);LOAD32L(b, &pt[4]);LOAD32L(c, &pt[8]);LOAD32L(d, &pt[12]); + k_xor( 0,a,b,c,d); sb0(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor( 1,e,f,g,h); sb1(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor( 2,a,b,c,d); sb2(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor( 3,e,f,g,h); sb3(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor( 4,a,b,c,d); sb4(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor( 5,e,f,g,h); sb5(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor( 6,a,b,c,d); sb6(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor( 7,e,f,g,h); sb7(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor( 8,a,b,c,d); sb0(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor( 9,e,f,g,h); sb1(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(10,a,b,c,d); sb2(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(11,e,f,g,h); sb3(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(12,a,b,c,d); sb4(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(13,e,f,g,h); sb5(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(14,a,b,c,d); sb6(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(15,e,f,g,h); sb7(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(16,a,b,c,d); sb0(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(17,e,f,g,h); sb1(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(18,a,b,c,d); sb2(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(19,e,f,g,h); sb3(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(20,a,b,c,d); sb4(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(21,e,f,g,h); sb5(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(22,a,b,c,d); sb6(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(23,e,f,g,h); sb7(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(24,a,b,c,d); sb0(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(25,e,f,g,h); sb1(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(26,a,b,c,d); sb2(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(27,e,f,g,h); sb3(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(28,a,b,c,d); sb4(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(29,e,f,g,h); sb5(e,f,g,h,a,b,c,d); rot(a,b,c,d); + k_xor(30,a,b,c,d); sb6(a,b,c,d,e,f,g,h); rot(e,f,g,h); + k_xor(31,e,f,g,h); sb7(e,f,g,h,a,b,c,d); k_xor(32,a,b,c,d); + STORE32L(a, &ct[0]);STORE32L(b, &ct[4]);STORE32L(c, &ct[8]);STORE32L(d, &ct[12]); +} + +#ifdef CLEAN_STACK +void serpent_ecb_encrypt(const unsigned char *pt, unsigned char *ct, symmetric_key *skey) +{ + _serpent_ecb_encrypt(pt, ct, skey); + burn_stack(sizeof(unsigned long)*24); +} +#endif + +#ifdef CLEAN_STACK +static void _serpent_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) +#else +void serpent_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) +#endif +{ + unsigned long a,b,c,d,e,f,g,h; + unsigned long t1,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12,t13,t14,t15,t16; + + _ARGCHK(pt != NULL); + _ARGCHK(ct != NULL); + _ARGCHK(skey != NULL); + + LOAD32L(a, &ct[0]);LOAD32L(b, &ct[4]);LOAD32L(c, &ct[8]);LOAD32L(d, &ct[12]); + k_xor(32,a,b,c,d); ib7(a,b,c,d,e,f,g,h); k_xor(31,e,f,g,h); + irot(e,f,g,h); ib6(e,f,g,h,a,b,c,d); k_xor(30,a,b,c,d); + irot(a,b,c,d); ib5(a,b,c,d,e,f,g,h); k_xor(29,e,f,g,h); + irot(e,f,g,h); ib4(e,f,g,h,a,b,c,d); k_xor(28,a,b,c,d); + irot(a,b,c,d); ib3(a,b,c,d,e,f,g,h); k_xor(27,e,f,g,h); + irot(e,f,g,h); ib2(e,f,g,h,a,b,c,d); k_xor(26,a,b,c,d); + irot(a,b,c,d); ib1(a,b,c,d,e,f,g,h); k_xor(25,e,f,g,h); + irot(e,f,g,h); ib0(e,f,g,h,a,b,c,d); k_xor(24,a,b,c,d); + irot(a,b,c,d); ib7(a,b,c,d,e,f,g,h); k_xor(23,e,f,g,h); + irot(e,f,g,h); ib6(e,f,g,h,a,b,c,d); k_xor(22,a,b,c,d); + irot(a,b,c,d); ib5(a,b,c,d,e,f,g,h); k_xor(21,e,f,g,h); + irot(e,f,g,h); ib4(e,f,g,h,a,b,c,d); k_xor(20,a,b,c,d); + irot(a,b,c,d); ib3(a,b,c,d,e,f,g,h); k_xor(19,e,f,g,h); + irot(e,f,g,h); ib2(e,f,g,h,a,b,c,d); k_xor(18,a,b,c,d); + irot(a,b,c,d); ib1(a,b,c,d,e,f,g,h); k_xor(17,e,f,g,h); + irot(e,f,g,h); ib0(e,f,g,h,a,b,c,d); k_xor(16,a,b,c,d); + irot(a,b,c,d); ib7(a,b,c,d,e,f,g,h); k_xor(15,e,f,g,h); + irot(e,f,g,h); ib6(e,f,g,h,a,b,c,d); k_xor(14,a,b,c,d); + irot(a,b,c,d); ib5(a,b,c,d,e,f,g,h); k_xor(13,e,f,g,h); + irot(e,f,g,h); ib4(e,f,g,h,a,b,c,d); k_xor(12,a,b,c,d); + irot(a,b,c,d); ib3(a,b,c,d,e,f,g,h); k_xor(11,e,f,g,h); + irot(e,f,g,h); ib2(e,f,g,h,a,b,c,d); k_xor(10,a,b,c,d); + irot(a,b,c,d); ib1(a,b,c,d,e,f,g,h); k_xor( 9,e,f,g,h); + irot(e,f,g,h); ib0(e,f,g,h,a,b,c,d); k_xor( 8,a,b,c,d); + irot(a,b,c,d); ib7(a,b,c,d,e,f,g,h); k_xor( 7,e,f,g,h); + irot(e,f,g,h); ib6(e,f,g,h,a,b,c,d); k_xor( 6,a,b,c,d); + irot(a,b,c,d); ib5(a,b,c,d,e,f,g,h); k_xor( 5,e,f,g,h); + irot(e,f,g,h); ib4(e,f,g,h,a,b,c,d); k_xor( 4,a,b,c,d); + irot(a,b,c,d); ib3(a,b,c,d,e,f,g,h); k_xor( 3,e,f,g,h); + irot(e,f,g,h); ib2(e,f,g,h,a,b,c,d); k_xor( 2,a,b,c,d); + irot(a,b,c,d); ib1(a,b,c,d,e,f,g,h); k_xor( 1,e,f,g,h); + irot(e,f,g,h); ib0(e,f,g,h,a,b,c,d); k_xor( 0,a,b,c,d); + STORE32L(a, &pt[0]);STORE32L(b, &pt[4]);STORE32L(c, &pt[8]);STORE32L(d, &pt[12]); +} + +#ifdef CLEAN_STACK +void serpent_ecb_decrypt(const unsigned char *ct, unsigned char *pt, symmetric_key *skey) +{ + _serpent_ecb_decrypt(ct, pt, skey); + burn_stack(sizeof(unsigned long)*24); +} +#endif + +int serpent_test(void) +{ + static const struct { + int keylen; + unsigned char key[32], pt[16], ct[16]; + } tests[] = { + { + 16, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0xdd, 0xd2, 0x6b, 0x98, 0xa5, 0xff, 0xd8, 0x2c, + 0x05, 0x34, 0x5a, 0x9d, 0xad, 0xbf, 0xaf, 0x49 } + }, + { + 16, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80 }, + { 0x4a, 0xe9, 0xa2, 0x0b, 0x2b, 0x14, 0xa1, 0x02, + 0x90, 0xcb, 0xb8, 0x20, 0xb7, 0xff, 0xb5, 0x10 } + }, + { + 24, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x08 }, + { 0xe1, 0x1b, 0x01, 0x52, 0x4e, 0xa1, 0xf4, 0x65, + 0xa2, 0xa2, 0x00, 0x43, 0xeb, 0x9f, 0x7e, 0x8a } + }, + { + 32, + { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0xe0, 0x88, 0x5d, 0x44, 0x60, 0x37, 0x34, 0x69, + 0xd1, 0xfa, 0x6c, 0x36, 0xa6, 0xe1, 0xc5, 0x2f } + }, + { + 32, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x17, 0xc6, 0x25, 0x8e, 0x60, 0x09, 0xe2, 0x82, + 0x66, 0x18, 0x69, 0xd5, 0x25, 0xf7, 0xd2, 0x04 } + }, + { + 32, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x20, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x9f, 0xe1, 0x43, 0x25, 0x0d, 0x00, 0xe2, 0x56, + 0x96, 0xb0, 0x1e, 0x0a, 0x2e, 0xd0, 0x5d, 0xb3 } + } + }; + + unsigned char buf[2][16]; + int x, err; + symmetric_key key; + + for (x = 0; x < (int)(sizeof(tests) / sizeof(tests[0])); x++) { + /* setup key */ + if ((err = serpent_setup(tests[x].key, tests[x].keylen, 0, &key))!= CRYPT_OK) { + return err; + } + + /* encrypt and decrypt */ + serpent_ecb_encrypt(tests[x].pt, buf[0], &key); + serpent_ecb_decrypt(buf[0], buf[1], &key); + + /* compare */ + if (memcmp(buf[0], tests[x].ct, 16) != 0 || memcmp(buf[1], tests[x].pt, 16) != 0) { + return CRYPT_FAIL_TESTVECTOR; + } + } + return CRYPT_OK; +} + +int serpent_keysize(int *desired_keysize) +{ + _ARGCHK(desired_keysize != NULL); + + if (*desired_keysize < 16) + return CRYPT_INVALID_KEYSIZE; + if (*desired_keysize > 32) + *desired_keysize = 32; + return CRYPT_OK; +} + +#endif + +
--- a/src/ciphers/aes/aes.c Fri May 06 13:23:02 2005 +0000 +++ b/src/ciphers/aes/aes.c Sun May 08 06:36:47 2005 +0000 @@ -43,6 +43,7 @@ #define ECB_TEST rijndael_test #define ECB_KS rijndael_keysize +#if 0 const struct ltc_cipher_descriptor rijndael_desc = { "rijndael", @@ -51,6 +52,7 @@ SETUP, ECB_ENC, ECB_DEC, ECB_TEST, ECB_DONE, ECB_KS, NULL, NULL, NULL, NULL, NULL, NULL, NULL }; +#endif const struct ltc_cipher_descriptor aes_desc = {
--- a/src/ciphers/des.c Fri May 06 13:23:02 2005 +0000 +++ b/src/ciphers/des.c Sun May 08 06:36:47 2005 +0000 @@ -20,6 +20,7 @@ #define EN0 0 #define DE1 1 +#if 0 const struct ltc_cipher_descriptor des_desc = { "des", @@ -33,6 +34,7 @@ &des_keysize, NULL, NULL, NULL, NULL, NULL, NULL, NULL }; +#endif const struct ltc_cipher_descriptor des3_desc = { @@ -1518,6 +1520,7 @@ } #endif +#if 0 /** Initialize the DES block cipher @param key The symmetric key you wish to pass @@ -1544,6 +1547,7 @@ return CRYPT_OK; } +#endif /** Initialize the 3DES-EDE block cipher @@ -1577,6 +1581,7 @@ return CRYPT_OK; } +#if 0 /** Encrypts a block of text with DES @param pt The input plaintext (8 bytes) @@ -1614,6 +1619,7 @@ STORE32H(work[0],pt+0); STORE32H(work[1],pt+4); } +#endif /** Encrypts a block of text with 3DES-EDE @@ -1658,6 +1664,7 @@ STORE32H(work[1],pt+4); } +#if 0 /** Performs a self-test of the DES block cipher @return CRYPT_OK if functional, CRYPT_NOP if self-test has been disabled @@ -1804,6 +1811,7 @@ return CRYPT_OK; #endif } +#endif int des3_test(void) { @@ -1841,6 +1849,7 @@ #endif } +#if 0 /** Terminate the context @param skey The scheduled key */ @@ -1870,6 +1879,7 @@ *keysize = 8; return CRYPT_OK; } +#endif /** Gets suitable key size
--- a/src/ciphers/twofish/twofish.c Fri May 06 13:23:02 2005 +0000 +++ b/src/ciphers/twofish/twofish.c Sun May 08 06:36:47 2005 +0000 @@ -43,12 +43,14 @@ #define RS_POLY 0x14D /* The 4x4 MDS Linear Transform */ +#if 0 static const unsigned char MDS[4][4] = { { 0x01, 0xEF, 0x5B, 0x5B }, { 0x5B, 0xEF, 0xEF, 0x01 }, { 0xEF, 0x5B, 0x01, 0xEF }, { 0xEF, 0x01, 0xEF, 0x5B } }; +#endif /* The 4x8 RS Linear Transform */ static const unsigned char RS[4][8] = {
--- a/src/hashes/md5.c Fri May 06 13:23:02 2005 +0000 +++ b/src/hashes/md5.c Sun May 08 06:36:47 2005 +0000 @@ -26,10 +26,13 @@ 64, /* DER identifier */ +#if 0 + /* matt */ { 0x30, 0x20, 0x30, 0x0C, 0x06, 0x08, 0x2A, 0x86, 0x48, 0x86, 0xF7, 0x0D, 0x02, 0x05, 0x05, 0x00, 0x04, 0x10 }, 18, +#endif &md5_init, &md5_process,
--- a/src/hashes/sha1.c Fri May 06 13:23:02 2005 +0000 +++ b/src/hashes/sha1.c Sun May 08 06:36:47 2005 +0000 @@ -25,10 +25,13 @@ 20, 64, +#if 0 + /* matt */ /* DER identifier */ { 0x30, 0x21, 0x30, 0x09, 0x06, 0x05, 0x2B, 0x0E, 0x03, 0x02, 0x1A, 0x05, 0x00, 0x04, 0x14 }, 15, +#endif &sha1_init, &sha1_process,
--- a/src/headers/tomcrypt.h Fri May 06 13:23:02 2005 +0000 +++ b/src/headers/tomcrypt.h Sun May 08 06:36:47 2005 +0000 @@ -23,7 +23,8 @@ #define MAXBLOCKSIZE 128 /* descriptor table size */ -#define TAB_SIZE 32 +/* Dropbear change - this should be smaller, saves some size */ +#define TAB_SIZE 4 /* error codes [will be expanded in future releases] */ enum {
--- a/src/headers/tomcrypt_custom.h Fri May 06 13:23:02 2005 +0000 +++ b/src/headers/tomcrypt_custom.h Sun May 08 06:36:47 2005 +0000 @@ -4,6 +4,9 @@ #ifndef TOMCRYPT_CUSTOM_H_ #define TOMCRYPT_CUSTOM_H_ +/* this will sort out which stuff based on the user-config in options.h */ +#include "../options.h" + /* macros for various libc functions you can change for embedded targets */ #define XMALLOC malloc #define XREALLOC realloc @@ -16,11 +19,13 @@ #define XCLOCK clock #define XCLOCKS_PER_SEC CLOCKS_PER_SEC -/* Use small code where possible */ -/* #define LTC_SMALL_CODE */ +#ifdef DROPBEAR_SMALL_CODE +#define SMALL_CODE +#endif /* Enable self-test test vector checking */ -#define LTC_TEST +/* Not for dropbear */ +//#define LTC_TEST /* clean the stack of functions which put private information on stack */ /* #define LTC_CLEAN_STACK */ @@ -37,160 +42,46 @@ /* disable BSWAP on x86 */ /* #define LTC_NO_BSWAP */ -/* ---> Symmetric Block Ciphers <--- */ -#define BLOWFISH -#define RC2 -#define RC5 -#define RC6 -#define SAFERP -#define RIJNDAEL -#define XTEA -/* _TABLES tells it to use tables during setup, _SMALL means to use the smaller scheduled key format - * (saves 4KB of ram), _ALL_TABLES enables all tables during setup */ -#define TWOFISH -#define TWOFISH_TABLES -/* #define TWOFISH_ALL_TABLES */ -/* #define TWOFISH_SMALL */ -/* DES includes EDE triple-DES */ -#define DES -#define CAST5 -#define NOEKEON -#define SKIPJACK -#define SAFER -#define KHAZAD -#define ANUBIS -#define ANUBIS_TWEAK - -/* ---> Block Cipher Modes of Operation <--- */ -#define CFB -#define OFB -#define ECB -#define CBC -#define CTR +#ifdef DROPBEAR_BLOWFISH_CBC +#define BLOWFISH +#endif -/* ---> One-Way Hash Functions <--- */ -#define CHC_HASH -#define WHIRLPOOL -#define SHA512 -#define SHA384 -#define SHA256 -#define SHA224 -#define TIGER -#define SHA1 -#define MD5 -#define MD4 -#define MD2 -#define RIPEMD128 -#define RIPEMD160 - -/* ---> MAC functions <--- */ -#define HMAC -#define OMAC -#define PMAC -#define PELICAN - -#if defined(PELICAN) && !defined(RIJNDAEL) - #error Pelican-MAC requires RIJNDAEL +#ifdef DROPBEAR_AES128_CBC +#define RIJNDAEL #endif -/* ---> Encrypt + Authenticate Modes <--- */ -#define EAX_MODE -#if defined(EAX_MODE) && !(defined(CTR) && defined(OMAC)) - #error EAX_MODE requires CTR and OMAC mode +#ifdef DROPBEAR_TWOFISH128_CBC +#define TWOFISH + +/* enabling just TWOFISH_SMALL will make the binary ~1kB smaller, turning on + * TWOFISH_TABLES will make it a few kB bigger, but perhaps reduces runtime + * memory usage? */ +#define TWOFISH_SMALL +/*#define TWOFISH_TABLES*/ #endif -#define OCB_MODE -#define CCM_MODE +#ifdef DROPBEAR_3DES_CBC +#define DES +#endif +#define CBC -#define GCM_MODE -/* Use 64KiB tables */ -#define GCM_TABLES +#if defined(DROPBEAR_DSS) && defined(DSS_PROTOK) +#define SHA512 +#endif + +#define SHA1 + +#ifdef DROPBEAR_MD5_HMAC +#define MD5 +#endif + +#define HMAC /* Various tidbits of modern neatoness */ #define BASE64 -/* --> Pseudo Random Number Generators <--- */ -/* Yarrow */ -#define YARROW -/* which descriptor of AES to use? */ -/* 0 = rijndael_enc 1 = aes_enc, 2 = rijndael [full], 3 = aes [full] */ -#define YARROW_AES 0 - -#if defined(YARROW) && !defined(CTR) - #error YARROW requires CTR chaining mode to be defined! -#endif - -/* a PRNG that simply reads from an available system source */ -#define SPRNG - -/* The RC4 stream cipher */ -#define RC4 - -/* Fortuna PRNG */ -#define FORTUNA -/* reseed every N calls to the read function */ -#define FORTUNA_WD 10 -/* number of pools (4..32) can save a bit of ram by lowering the count */ -#define FORTUNA_POOLS 32 - -/* Greg's SOBER128 PRNG ;-0 */ -#define SOBER128 - -/* the *nix style /dev/random device */ -#define DEVRANDOM -/* try /dev/urandom before trying /dev/random */ -#define TRY_URANDOM_FIRST - -/* ---> Public Key Crypto <--- */ -#define MRSA - -/* Digital Signature Algorithm */ -#define MDSA -/* Max diff between group and modulus size in bytes */ -#define MDSA_DELTA 512 -/* Max DSA group size in bytes (default allows 4k-bit groups) */ -#define MDSA_MAX_GROUP 512 - -/* Diffie-Hellman */ -#define MDH -/* Supported Key Sizes */ -#define DH768 -#define DH1024 -#define DH1280 -#define DH1536 -#define DH1792 -#define DH2048 -#define DH2560 -#define DH3072 -#define DH4096 - -/* ECC */ -#define MECC -/* Supported Key Sizes */ -#define ECC160 -#define ECC192 -#define ECC224 -#define ECC256 -#define ECC384 -#define ECC521 - -/* Include the MPI functionality? (required by the PK algorithms) */ -#define MPI - -/* PKCS #1 (RSA) and #5 (Password Handling) stuff */ -#define PKCS_1 -#define PKCS_5 - -/* Include ASN.1 DER (required by DSA/RSA) */ -#define LTC_DER -#if defined(LTC_DER) && !defined(MPI) - #error ASN.1 DER requires MPI functionality -#endif - -#if (defined(MDSA) || defined(MRSA)) && !defined(LTC_DER) - #error RSA/DSA requires ASN.1 DER functionality, make sure LTC_DER is enabled -#endif +#define FORTUNA_POOLS 0 #endif
--- a/src/misc/crypt/crypt.c Fri May 06 13:23:02 2005 +0000 +++ b/src/misc/crypt/crypt.c Sun May 08 06:36:47 2005 +0000 @@ -299,4 +299,5 @@ "\n" "\n\n\n" ; + */
--- a/src/misc/mpi/mpi.c Fri May 06 13:23:02 2005 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,9044 +0,0 @@ -/* Start: bn_error.c */ -#include <ltc_tommath.h> -#ifdef BN_ERROR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -static const struct { - int code; - char *msg; -} msgs[] = { - { MP_OKAY, "Successful" }, - { MP_MEM, "Out of heap" }, - { MP_VAL, "Value out of range" } -}; - -/* return a char * string for a given code */ -char *mp_error_to_string(int code) -{ - int x; - - /* scan the lookup table for the given message */ - for (x = 0; x < (int)(sizeof(msgs) / sizeof(msgs[0])); x++) { - if (msgs[x].code == code) { - return msgs[x].msg; - } - } - - /* generic reply for invalid code */ - return "Invalid error code"; -} - -#endif - -/* End: bn_error.c */ - -/* Start: bn_fast_mp_invmod.c */ -#include <ltc_tommath.h> -#ifdef BN_FAST_MP_INVMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* computes the modular inverse via binary extended euclidean algorithm, - * that is c = 1/a mod b - * - * Based on slow invmod except this is optimized for the case where b is - * odd as per HAC Note 14.64 on pp. 610 - */ -int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x, y, u, v, B, D; - int res, neg; - - /* 2. [modified] b must be odd */ - if (mp_iseven (b) == 1) { - return MP_VAL; - } - - /* init all our temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, &B, &D, NULL)) != MP_OKAY) { - return res; - } - - /* x == modulus, y == value to invert */ - if ((res = mp_copy (b, &x)) != MP_OKAY) { - goto LBL_ERR; - } - - /* we need y = |a| */ - if ((res = mp_mod (a, b, &y)) != MP_OKAY) { - goto LBL_ERR; - } - - /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ - if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto LBL_ERR; - } - mp_set (&D, 1); - -top: - /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { - /* 4.1 u = u/2 */ - if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto LBL_ERR; - } - /* 4.2 if B is odd then */ - if (mp_isodd (&B) == 1) { - if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* B = B/2 */ - if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { - /* 5.1 v = v/2 */ - if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto LBL_ERR; - } - /* 5.2 if D is odd then */ - if (mp_isodd (&D) == 1) { - /* D = (D-x)/2 */ - if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* D = D/2 */ - if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 6. if u >= v then */ - if (mp_cmp (&u, &v) != MP_LT) { - /* u = u - v, B = B - D */ - if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } else { - /* v - v - u, D = D - B */ - if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) { - goto top; - } - - /* now a = C, b = D, gcd == g*v */ - - /* if v != 1 then there is no inverse */ - if (mp_cmp_d (&v, 1) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* b is now the inverse */ - neg = a->sign; - while (D.sign == MP_NEG) { - if ((res = mp_add (&D, b, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - mp_exch (&D, c); - c->sign = neg; - res = MP_OKAY; - -LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); - return res; -} -#endif - -/* End: bn_fast_mp_invmod.c */ - -/* Start: bn_fast_mp_montgomery_reduce.c */ -#include <ltc_tommath.h> -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction - * - * This is an optimized implementation of montgomery_reduce - * which uses the comba method to quickly calculate the columns of the - * reduction. - * - * Based on Algorithm 14.32 on pp.601 of HAC. -*/ -int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) -{ - int ix, res, olduse; - mp_word W[MP_WARRAY]; - - /* get old used count */ - olduse = x->used; - - /* grow a as required */ - if (x->alloc < n->used + 1) { - if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { - return res; - } - } - - /* first we have to get the digits of the input into - * an array of double precision words W[...] - */ - { - register mp_word *_W; - register mp_digit *tmpx; - - /* alias for the W[] array */ - _W = W; - - /* alias for the digits of x*/ - tmpx = x->dp; - - /* copy the digits of a into W[0..a->used-1] */ - for (ix = 0; ix < x->used; ix++) { - *_W++ = *tmpx++; - } - - /* zero the high words of W[a->used..m->used*2] */ - for (; ix < n->used * 2 + 1; ix++) { - *_W++ = 0; - } - } - - /* now we proceed to zero successive digits - * from the least significant upwards - */ - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * m' mod b - * - * We avoid a double precision multiplication (which isn't required) - * by casting the value down to a mp_digit. Note this requires - * that W[ix-1] have the carry cleared (see after the inner loop) - */ - register mp_digit mu; - mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); - - /* a = a + mu * m * b**i - * - * This is computed in place and on the fly. The multiplication - * by b**i is handled by offseting which columns the results - * are added to. - * - * Note the comba method normally doesn't handle carries in the - * inner loop In this case we fix the carry from the previous - * column since the Montgomery reduction requires digits of the - * result (so far) [see above] to work. This is - * handled by fixing up one carry after the inner loop. The - * carry fixups are done in order so after these loops the - * first m->used words of W[] have the carries fixed - */ - { - register int iy; - register mp_digit *tmpn; - register mp_word *_W; - - /* alias for the digits of the modulus */ - tmpn = n->dp; - - /* Alias for the columns set by an offset of ix */ - _W = W + ix; - - /* inner loop */ - for (iy = 0; iy < n->used; iy++) { - *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++); - } - } - - /* now fix carry for next digit, W[ix+1] */ - W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT); - } - - /* now we have to propagate the carries and - * shift the words downward [all those least - * significant digits we zeroed]. - */ - { - register mp_digit *tmpx; - register mp_word *_W, *_W1; - - /* nox fix rest of carries */ - - /* alias for current word */ - _W1 = W + ix; - - /* alias for next word, where the carry goes */ - _W = W + ++ix; - - for (; ix <= n->used * 2 + 1; ix++) { - *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); - } - - /* copy out, A = A/b**n - * - * The result is A/b**n but instead of converting from an - * array of mp_word to mp_digit than calling mp_rshd - * we just copy them in the right order - */ - - /* alias for destination word */ - tmpx = x->dp; - - /* alias for shifted double precision result */ - _W = W + n->used; - - for (ix = 0; ix < n->used + 1; ix++) { - *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); - } - - /* zero oldused digits, if the input a was larger than - * m->used+1 we'll have to clear the digits - */ - for (; ix < olduse; ix++) { - *tmpx++ = 0; - } - } - - /* set the max used and clamp */ - x->used = n->used + 1; - mp_clamp (x); - - /* if A >= m then A = A - m */ - if (mp_cmp_mag (x, n) != MP_LT) { - return s_mp_sub (x, n, x); - } - return MP_OKAY; -} -#endif - -/* End: bn_fast_mp_montgomery_reduce.c */ - -/* Start: bn_fast_s_mp_mul_digs.c */ -#include <ltc_tommath.h> -#ifdef BN_FAST_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* Fast (comba) multiplier - * - * This is the fast column-array [comba] multiplier. It is - * designed to compute the columns of the product first - * then handle the carries afterwards. This has the effect - * of making the nested loops that compute the columns very - * simple and schedulable on super-scalar processors. - * - * This has been modified to produce a variable number of - * digits of output so if say only a half-product is required - * you don't have to compute the upper half (a feature - * required for fast Barrett reduction). - * - * Based on Algorithm 14.12 on pp.595 of HAC. - * - */ -int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - register mp_word _W; - - /* grow the destination as required */ - if (c->alloc < digs) { - if ((res = mp_grow (c, digs)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = MIN(digs, a->used + b->used); - - /* clear the carry */ - _W = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty; - int iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; ++iz) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; - - /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); - } - - /* store final carry */ - W[ix] = (mp_digit)(_W & MP_MASK); - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - register mp_digit *tmpc; - tmpc = c->dp; - for (ix = 0; ix < pa+1; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_mul_digs.c */ - -/* Start: bn_fast_s_mp_mul_high_digs.c */ -#include <ltc_tommath.h> -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* this is a modified version of fast_s_mul_digs that only produces - * output digits *above* digs. See the comments for fast_s_mul_digs - * to see how it works. - * - * This is used in the Barrett reduction since for one of the multiplications - * only the higher digits were needed. This essentially halves the work. - * - * Based on Algorithm 14.12 on pp.595 of HAC. - */ -int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - mp_word _W; - - /* grow the destination as required */ - pa = a->used + b->used; - if (c->alloc < pa) { - if ((res = mp_grow (c, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = a->used + b->used; - _W = 0; - for (ix = digs; ix < pa; ix++) { - int tx, ty, iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially its - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; - - /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); - } - - /* store final carry */ - W[ix] = (mp_digit)(_W & MP_MASK); - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - register mp_digit *tmpc; - - tmpc = c->dp + digs; - for (ix = digs; ix <= pa; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_mul_high_digs.c */ - -/* Start: bn_fast_s_mp_sqr.c */ -#include <ltc_tommath.h> -#ifdef BN_FAST_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* the jist of squaring... - * you do like mult except the offset of the tmpx [one that - * starts closer to zero] can't equal the offset of tmpy. - * So basically you set up iy like before then you min it with - * (ty-tx) so that it never happens. You double all those - * you add in the inner loop - -After that loop you do the squares and add them in. -*/ - -int fast_s_mp_sqr (mp_int * a, mp_int * b) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY], *tmpx; - mp_word W1; - - /* grow the destination as required */ - pa = a->used + a->used; - if (b->alloc < pa) { - if ((res = mp_grow (b, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - W1 = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty, iy; - mp_word _W; - mp_digit *tmpy; - - /* clear counter */ - _W = 0; - - /* get offsets into the two bignums */ - ty = MIN(a->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = a->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* now for squaring tx can never equal ty - * we halve the distance since they approach at a rate of 2x - * and we have to round because odd cases need to be executed - */ - iy = MIN(iy, (ty-tx+1)>>1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* double the inner product and add carry */ - _W = _W + _W + W1; - - /* even columns have the square term in them */ - if ((ix&1) == 0) { - _W += ((mp_word)a->dp[ix>>1])*((mp_word)a->dp[ix>>1]); - } - - /* store it */ - W[ix] = (mp_digit)(_W & MP_MASK); - - /* make next carry */ - W1 = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = b->used; - b->used = a->used+a->used; - - { - mp_digit *tmpb; - tmpb = b->dp; - for (ix = 0; ix < pa; ix++) { - *tmpb++ = W[ix] & MP_MASK; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpb++ = 0; - } - } - mp_clamp (b); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_sqr.c */ - -/* Start: bn_mp_2expt.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_2EXPT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* computes a = 2**b - * - * Simple algorithm which zeroes the int, grows it then just sets one bit - * as required. - */ -int -mp_2expt (mp_int * a, int b) -{ - int res; - - /* zero a as per default */ - mp_zero (a); - - /* grow a to accomodate the single bit */ - if ((res = mp_grow (a, b / DIGIT_BIT + 1)) != MP_OKAY) { - return res; - } - - /* set the used count of where the bit will go */ - a->used = b / DIGIT_BIT + 1; - - /* put the single bit in its place */ - a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); - - return MP_OKAY; -} -#endif - -/* End: bn_mp_2expt.c */ - -/* Start: bn_mp_abs.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_ABS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* b = |a| - * - * Simple function copies the input and fixes the sign to positive - */ -int -mp_abs (mp_int * a, mp_int * b) -{ - int res; - - /* copy a to b */ - if (a != b) { - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } - } - - /* force the sign of b to positive */ - b->sign = MP_ZPOS; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_abs.c */ - -/* Start: bn_mp_add.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_ADD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* high level addition (handles signs) */ -int mp_add (mp_int * a, mp_int * b, mp_int * c) -{ - int sa, sb, res; - - /* get sign of both inputs */ - sa = a->sign; - sb = b->sign; - - /* handle two cases, not four */ - if (sa == sb) { - /* both positive or both negative */ - /* add their magnitudes, copy the sign */ - c->sign = sa; - res = s_mp_add (a, b, c); - } else { - /* one positive, the other negative */ - /* subtract the one with the greater magnitude from */ - /* the one of the lesser magnitude. The result gets */ - /* the sign of the one with the greater magnitude. */ - if (mp_cmp_mag (a, b) == MP_LT) { - c->sign = sb; - res = s_mp_sub (b, a, c); - } else { - c->sign = sa; - res = s_mp_sub (a, b, c); - } - } - return res; -} - -#endif - -/* End: bn_mp_add.c */ - -/* Start: bn_mp_add_d.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_ADD_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* single digit addition */ -int -mp_add_d (mp_int * a, mp_digit b, mp_int * c) -{ - int res, ix, oldused; - mp_digit *tmpa, *tmpc, mu; - - /* grow c as required */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* if a is negative and |a| >= b, call c = |a| - b */ - if (a->sign == MP_NEG && (a->used > 1 || a->dp[0] >= b)) { - /* temporarily fix sign of a */ - a->sign = MP_ZPOS; - - /* c = |a| - b */ - res = mp_sub_d(a, b, c); - - /* fix sign */ - a->sign = c->sign = MP_NEG; - - return res; - } - - /* old number of used digits in c */ - oldused = c->used; - - /* sign always positive */ - c->sign = MP_ZPOS; - - /* source alias */ - tmpa = a->dp; - - /* destination alias */ - tmpc = c->dp; - - /* if a is positive */ - if (a->sign == MP_ZPOS) { - /* add digit, after this we're propagating - * the carry. - */ - *tmpc = *tmpa++ + b; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - - /* now handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { - *tmpc = *tmpa++ + mu; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - } - /* set final carry */ - ix++; - *tmpc++ = mu; - - /* setup size */ - c->used = a->used + 1; - } else { - /* a was negative and |a| < b */ - c->used = 1; - - /* the result is a single digit */ - if (a->used == 1) { - *tmpc++ = b - a->dp[0]; - } else { - *tmpc++ = b; - } - - /* setup count so the clearing of oldused - * can fall through correctly - */ - ix = 1; - } - - /* now zero to oldused */ - while (ix++ < oldused) { - *tmpc++ = 0; - } - mp_clamp(c); - - return MP_OKAY; -} - -#endif - -/* End: bn_mp_add_d.c */ - -/* Start: bn_mp_addmod.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_ADDMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* d = a + b (mod c) */ -int -mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_add (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_addmod.c */ - -/* Start: bn_mp_and.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_AND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* AND two ints together */ -int -mp_and (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] &= x->dp[ix]; - } - - /* zero digits above the last from the smallest mp_int */ - for (; ix < t.used; ix++) { - t.dp[ix] = 0; - } - - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_and.c */ - -/* Start: bn_mp_clamp.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_CLAMP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* trim unused digits - * - * This is used to ensure that leading zero digits are - * trimed and the leading "used" digit will be non-zero - * Typically very fast. Also fixes the sign if there - * are no more leading digits - */ -void -mp_clamp (mp_int * a) -{ - /* decrease used while the most significant digit is - * zero. - */ - while (a->used > 0 && a->dp[a->used - 1] == 0) { - --(a->used); - } - - /* reset the sign flag if used == 0 */ - if (a->used == 0) { - a->sign = MP_ZPOS; - } -} -#endif - -/* End: bn_mp_clamp.c */ - -/* Start: bn_mp_clear.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_CLEAR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* clear one (frees) */ -void -mp_clear (mp_int * a) -{ - int i; - - /* only do anything if a hasn't been freed previously */ - if (a->dp != NULL) { - /* first zero the digits */ - for (i = 0; i < a->used; i++) { - a->dp[i] = 0; - } - - /* free ram */ - XFREE(a->dp); - - /* reset members to make debugging easier */ - a->dp = NULL; - a->alloc = a->used = 0; - a->sign = MP_ZPOS; - } -} -#endif - -/* End: bn_mp_clear.c */ - -/* Start: bn_mp_clear_multi.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_CLEAR_MULTI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ -#include <stdarg.h> - -void mp_clear_multi(mp_int *mp, ...) -{ - mp_int* next_mp = mp; - va_list args; - va_start(args, mp); - while (next_mp != NULL) { - mp_clear(next_mp); - next_mp = va_arg(args, mp_int*); - } - va_end(args); -} -#endif - -/* End: bn_mp_clear_multi.c */ - -/* Start: bn_mp_cmp.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_CMP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* compare two ints (signed)*/ -int -mp_cmp (mp_int * a, mp_int * b) -{ - /* compare based on sign */ - if (a->sign != b->sign) { - if (a->sign == MP_NEG) { - return MP_LT; - } else { - return MP_GT; - } - } - - /* compare digits */ - if (a->sign == MP_NEG) { - /* if negative compare opposite direction */ - return mp_cmp_mag(b, a); - } else { - return mp_cmp_mag(a, b); - } -} -#endif - -/* End: bn_mp_cmp.c */ - -/* Start: bn_mp_cmp_d.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_CMP_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* compare a digit */ -int mp_cmp_d(mp_int * a, mp_digit b) -{ - /* compare based on sign */ - if (a->sign == MP_NEG) { - return MP_LT; - } - - /* compare based on magnitude */ - if (a->used > 1) { - return MP_GT; - } - - /* compare the only digit of a to b */ - if (a->dp[0] > b) { - return MP_GT; - } else if (a->dp[0] < b) { - return MP_LT; - } else { - return MP_EQ; - } -} -#endif - -/* End: bn_mp_cmp_d.c */ - -/* Start: bn_mp_cmp_mag.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_CMP_MAG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* compare maginitude of two ints (unsigned) */ -int mp_cmp_mag (mp_int * a, mp_int * b) -{ - int n; - mp_digit *tmpa, *tmpb; - - /* compare based on # of non-zero digits */ - if (a->used > b->used) { - return MP_GT; - } - - if (a->used < b->used) { - return MP_LT; - } - - /* alias for a */ - tmpa = a->dp + (a->used - 1); - - /* alias for b */ - tmpb = b->dp + (a->used - 1); - - /* compare based on digits */ - for (n = 0; n < a->used; ++n, --tmpa, --tmpb) { - if (*tmpa > *tmpb) { - return MP_GT; - } - - if (*tmpa < *tmpb) { - return MP_LT; - } - } - return MP_EQ; -} -#endif - -/* End: bn_mp_cmp_mag.c */ - -/* Start: bn_mp_cnt_lsb.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_CNT_LSB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -static const int lnz[16] = { - 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 -}; - -/* Counts the number of lsbs which are zero before the first zero bit */ -int mp_cnt_lsb(mp_int *a) -{ - int x; - mp_digit q, qq; - - /* easy out */ - if (mp_iszero(a) == 1) { - return 0; - } - - /* scan lower digits until non-zero */ - for (x = 0; x < a->used && a->dp[x] == 0; x++); - q = a->dp[x]; - x *= DIGIT_BIT; - - /* now scan this digit until a 1 is found */ - if ((q & 1) == 0) { - do { - qq = q & 15; - x += lnz[qq]; - q >>= 4; - } while (qq == 0); - } - return x; -} - -#endif - -/* End: bn_mp_cnt_lsb.c */ - -/* Start: bn_mp_copy.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_COPY_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* copy, b = a */ -int -mp_copy (mp_int * a, mp_int * b) -{ - int res, n; - - /* if dst == src do nothing */ - if (a == b) { - return MP_OKAY; - } - - /* grow dest */ - if (b->alloc < a->used) { - if ((res = mp_grow (b, a->used)) != MP_OKAY) { - return res; - } - } - - /* zero b and copy the parameters over */ - { - register mp_digit *tmpa, *tmpb; - - /* pointer aliases */ - - /* source */ - tmpa = a->dp; - - /* destination */ - tmpb = b->dp; - - /* copy all the digits */ - for (n = 0; n < a->used; n++) { - *tmpb++ = *tmpa++; - } - - /* clear high digits */ - for (; n < b->used; n++) { - *tmpb++ = 0; - } - } - - /* copy used count and sign */ - b->used = a->used; - b->sign = a->sign; - return MP_OKAY; -} -#endif - -/* End: bn_mp_copy.c */ - -/* Start: bn_mp_count_bits.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_COUNT_BITS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* returns the number of bits in an int */ -int -mp_count_bits (mp_int * a) -{ - int r; - mp_digit q; - - /* shortcut */ - if (a->used == 0) { - return 0; - } - - /* get number of digits and add that */ - r = (a->used - 1) * DIGIT_BIT; - - /* take the last digit and count the bits in it */ - q = a->dp[a->used - 1]; - while (q > ((mp_digit) 0)) { - ++r; - q >>= ((mp_digit) 1); - } - return r; -} -#endif - -/* End: bn_mp_count_bits.c */ - -/* Start: bn_mp_div.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_DIV_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -#ifdef BN_MP_DIV_SMALL - -/* slower bit-bang division... also smaller */ -int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - mp_int ta, tb, tq, q; - int res, n, n2; - - /* is divisor zero ? */ - if (mp_iszero (b) == 1) { - return MP_VAL; - } - - /* if a < b then q=0, r = a */ - if (mp_cmp_mag (a, b) == MP_LT) { - if (d != NULL) { - res = mp_copy (a, d); - } else { - res = MP_OKAY; - } - if (c != NULL) { - mp_zero (c); - } - return res; - } - - /* init our temps */ - if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL) != MP_OKAY)) { - return res; - } - - - mp_set(&tq, 1); - n = mp_count_bits(a) - mp_count_bits(b); - if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { - goto LBL_ERR; - } - - while (n-- >= 0) { - if (mp_cmp(&tb, &ta) != MP_GT) { - if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || - ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) { - goto LBL_ERR; - } - } - if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || - ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) { - goto LBL_ERR; - } - } - - /* now q == quotient and ta == remainder */ - n = a->sign; - n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); - if (c != NULL) { - mp_exch(c, &q); - c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; - } - if (d != NULL) { - mp_exch(d, &ta); - d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; - } -LBL_ERR: - mp_clear_multi(&ta, &tb, &tq, &q, NULL); - return res; -} - -#else - -/* integer signed division. - * c*b + d == a [e.g. a/b, c=quotient, d=remainder] - * HAC pp.598 Algorithm 14.20 - * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the - * case that y has fewer than three digits, etc.. - * - * The overall algorithm is as described as - * 14.20 from HAC but fixed to treat these cases. -*/ -int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - mp_int q, x, y, t1, t2; - int res, n, t, i, norm, neg; - - /* is divisor zero ? */ - if (mp_iszero (b) == 1) { - return MP_VAL; - } - - /* if a < b then q=0, r = a */ - if (mp_cmp_mag (a, b) == MP_LT) { - if (d != NULL) { - res = mp_copy (a, d); - } else { - res = MP_OKAY; - } - if (c != NULL) { - mp_zero (c); - } - return res; - } - - if ((res = mp_init_size (&q, a->used + 2)) != MP_OKAY) { - return res; - } - q.used = a->used + 2; - - if ((res = mp_init (&t1)) != MP_OKAY) { - goto LBL_Q; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init_copy (&x, a)) != MP_OKAY) { - goto LBL_T2; - } - - if ((res = mp_init_copy (&y, b)) != MP_OKAY) { - goto LBL_X; - } - - /* fix the sign */ - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - x.sign = y.sign = MP_ZPOS; - - /* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */ - norm = mp_count_bits(&y) % DIGIT_BIT; - if (norm < (int)(DIGIT_BIT-1)) { - norm = (DIGIT_BIT-1) - norm; - if ((res = mp_mul_2d (&x, norm, &x)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_mul_2d (&y, norm, &y)) != MP_OKAY) { - goto LBL_Y; - } - } else { - norm = 0; - } - - /* note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4 */ - n = x.used - 1; - t = y.used - 1; - - /* while (x >= y*b**n-t) do { q[n-t] += 1; x -= y*b**{n-t} } */ - if ((res = mp_lshd (&y, n - t)) != MP_OKAY) { /* y = y*b**{n-t} */ - goto LBL_Y; - } - - while (mp_cmp (&x, &y) != MP_LT) { - ++(q.dp[n - t]); - if ((res = mp_sub (&x, &y, &x)) != MP_OKAY) { - goto LBL_Y; - } - } - - /* reset y by shifting it back down */ - mp_rshd (&y, n - t); - - /* step 3. for i from n down to (t + 1) */ - for (i = n; i >= (t + 1); i--) { - if (i > x.used) { - continue; - } - - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, - * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ - if (x.dp[i] == y.dp[t]) { - q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); - } else { - mp_word tmp; - tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); - tmp |= ((mp_word) x.dp[i - 1]); - tmp /= ((mp_word) y.dp[t]); - if (tmp > (mp_word) MP_MASK) - tmp = MP_MASK; - q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); - } - - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; - */ - q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; - do { - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1) & MP_MASK; - - /* find left hand */ - mp_zero (&t1); - t1.dp[0] = (t - 1 < 0) ? 0 : y.dp[t - 1]; - t1.dp[1] = y.dp[t]; - t1.used = 2; - if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } - - /* find right hand */ - t2.dp[0] = (i - 2 < 0) ? 0 : x.dp[i - 2]; - t2.dp[1] = (i - 1 < 0) ? 0 : x.dp[i - 1]; - t2.dp[2] = x.dp[i]; - t2.used = 3; - } while (mp_cmp_mag(&t1, &t2) == MP_GT); - - /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ - if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } - - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto LBL_Y; - } - - if ((res = mp_sub (&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } - - /* if x < 0 then { x = x + y*b**{i-t-1}; q{i-t-1} -= 1; } */ - if (x.sign == MP_NEG) { - if ((res = mp_copy (&y, &t1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } - - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; - } - } - - /* now q is the quotient and x is the remainder - * [which we have to normalize] - */ - - /* get sign before writing to c */ - x.sign = x.used == 0 ? MP_ZPOS : a->sign; - - if (c != NULL) { - mp_clamp (&q); - mp_exch (&q, c); - c->sign = neg; - } - - if (d != NULL) { - mp_div_2d (&x, norm, &x, NULL); - mp_exch (&x, d); - } - - res = MP_OKAY; - -LBL_Y:mp_clear (&y); -LBL_X:mp_clear (&x); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); -LBL_Q:mp_clear (&q); - return res; -} - -#endif - -#endif - -/* End: bn_mp_div.c */ - -/* Start: bn_mp_div_2.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_DIV_2_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* b = a/2 */ -int mp_div_2(mp_int * a, mp_int * b) -{ - int x, res, oldused; - - /* copy */ - if (b->alloc < a->used) { - if ((res = mp_grow (b, a->used)) != MP_OKAY) { - return res; - } - } - - oldused = b->used; - b->used = a->used; - { - register mp_digit r, rr, *tmpa, *tmpb; - - /* source alias */ - tmpa = a->dp + b->used - 1; - - /* dest alias */ - tmpb = b->dp + b->used - 1; - - /* carry */ - r = 0; - for (x = b->used - 1; x >= 0; x--) { - /* get the carry for the next iteration */ - rr = *tmpa & 1; - - /* shift the current digit, add in carry and store */ - *tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1)); - - /* forward carry to next iteration */ - r = rr; - } - - /* zero excess digits */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } - } - b->sign = a->sign; - mp_clamp (b); - return MP_OKAY; -} -#endif - -/* End: bn_mp_div_2.c */ - -/* Start: bn_mp_div_2d.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_DIV_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* shift right by a certain bit count (store quotient in c, optional remainder in d) */ -int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) -{ - mp_digit D, r, rr; - int x, res; - mp_int t; - - - /* if the shift count is <= 0 then we do no work */ - if (b <= 0) { - res = mp_copy (a, c); - if (d != NULL) { - mp_zero (d); - } - return res; - } - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - /* get the remainder */ - if (d != NULL) { - if ((res = mp_mod_2d (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - } - - /* copy */ - if ((res = mp_copy (a, c)) != MP_OKAY) { - mp_clear (&t); - return res; - } - - /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { - mp_rshd (c, b / DIGIT_BIT); - } - - /* shift any bit count < DIGIT_BIT */ - D = (mp_digit) (b % DIGIT_BIT); - if (D != 0) { - register mp_digit *tmpc, mask, shift; - - /* mask */ - mask = (((mp_digit)1) << D) - 1; - - /* shift for lsb */ - shift = DIGIT_BIT - D; - - /* alias */ - tmpc = c->dp + (c->used - 1); - - /* carry */ - r = 0; - for (x = c->used - 1; x >= 0; x--) { - /* get the lower bits of this word in a temp */ - rr = *tmpc & mask; - - /* shift the current word and mix in the carry bits from the previous word */ - *tmpc = (*tmpc >> D) | (r << shift); - --tmpc; - - /* set the carry to the carry bits of the current word found above */ - r = rr; - } - } - mp_clamp (c); - if (d != NULL) { - mp_exch (&t, d); - } - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_div_2d.c */ - -/* Start: bn_mp_div_3.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_DIV_3_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* divide by three (based on routine from MPI and the GMP manual) */ -int -mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) -{ - mp_int q; - mp_word w, t; - mp_digit b; - int res, ix; - - /* b = 2**DIGIT_BIT / 3 */ - b = (((mp_word)1) << ((mp_word)DIGIT_BIT)) / ((mp_word)3); - - if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { - return res; - } - - q.used = a->used; - q.sign = a->sign; - w = 0; - for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - - if (w >= 3) { - /* multiply w by [1/3] */ - t = (w * ((mp_word)b)) >> ((mp_word)DIGIT_BIT); - - /* now subtract 3 * [w/3] from w, to get the remainder */ - w -= t+t+t; - - /* fixup the remainder as required since - * the optimization is not exact. - */ - while (w >= 3) { - t += 1; - w -= 3; - } - } else { - t = 0; - } - q.dp[ix] = (mp_digit)t; - } - - /* [optional] store the remainder */ - if (d != NULL) { - *d = (mp_digit)w; - } - - /* [optional] store the quotient */ - if (c != NULL) { - mp_clamp(&q); - mp_exch(&q, c); - } - mp_clear(&q); - - return res; -} - -#endif - -/* End: bn_mp_div_3.c */ - -/* Start: bn_mp_div_d.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_DIV_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -static int s_is_power_of_two(mp_digit b, int *p) -{ - int x; - - for (x = 1; x < DIGIT_BIT; x++) { - if (b == (((mp_digit)1)<<x)) { - *p = x; - return 1; - } - } - return 0; -} - -/* single digit division (based on routine from MPI) */ -int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) -{ - mp_int q; - mp_word w; - mp_digit t; - int res, ix; - - /* cannot divide by zero */ - if (b == 0) { - return MP_VAL; - } - - /* quick outs */ - if (b == 1 || mp_iszero(a) == 1) { - if (d != NULL) { - *d = 0; - } - if (c != NULL) { - return mp_copy(a, c); - } - return MP_OKAY; - } - - /* power of two ? */ - if (s_is_power_of_two(b, &ix) == 1) { - if (d != NULL) { - *d = a->dp[0] & ((((mp_digit)1)<<ix) - 1); - } - if (c != NULL) { - return mp_div_2d(a, ix, c, NULL); - } - return MP_OKAY; - } - -#ifdef BN_MP_DIV_3_C - /* three? */ - if (b == 3) { - return mp_div_3(a, c, d); - } -#endif - - /* no easy answer [c'est la vie]. Just division */ - if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { - return res; - } - - q.used = a->used; - q.sign = a->sign; - w = 0; - for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - - if (w >= b) { - t = (mp_digit)(w / b); - w -= ((mp_word)t) * ((mp_word)b); - } else { - t = 0; - } - q.dp[ix] = (mp_digit)t; - } - - if (d != NULL) { - *d = (mp_digit)w; - } - - if (c != NULL) { - mp_clamp(&q); - mp_exch(&q, c); - } - mp_clear(&q); - - return res; -} - -#endif - -/* End: bn_mp_div_d.c */ - -/* Start: bn_mp_dr_is_modulus.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_DR_IS_MODULUS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* determines if a number is a valid DR modulus */ -int mp_dr_is_modulus(mp_int *a) -{ - int ix; - - /* must be at least two digits */ - if (a->used < 2) { - return 0; - } - - /* must be of the form b**k - a [a <= b] so all - * but the first digit must be equal to -1 (mod b). - */ - for (ix = 1; ix < a->used; ix++) { - if (a->dp[ix] != MP_MASK) { - return 0; - } - } - return 1; -} - -#endif - -/* End: bn_mp_dr_is_modulus.c */ - -/* Start: bn_mp_dr_reduce.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_DR_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* reduce "x" in place modulo "n" using the Diminished Radix algorithm. - * - * Based on algorithm from the paper - * - * "Generating Efficient Primes for Discrete Log Cryptosystems" - * Chae Hoon Lim, Pil Joong Lee, - * POSTECH Information Research Laboratories - * - * The modulus must be of a special format [see manual] - * - * Has been modified to use algorithm 7.10 from the LTM book instead - * - * Input x must be in the range 0 <= x <= (n-1)**2 - */ -int -mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) -{ - int err, i, m; - mp_word r; - mp_digit mu, *tmpx1, *tmpx2; - - /* m = digits in modulus */ - m = n->used; - - /* ensure that "x" has at least 2m digits */ - if (x->alloc < m + m) { - if ((err = mp_grow (x, m + m)) != MP_OKAY) { - return err; - } - } - -/* top of loop, this is where the code resumes if - * another reduction pass is required. - */ -top: - /* aliases for digits */ - /* alias for lower half of x */ - tmpx1 = x->dp; - - /* alias for upper half of x, or x/B**m */ - tmpx2 = x->dp + m; - - /* set carry to zero */ - mu = 0; - - /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ - for (i = 0; i < m; i++) { - r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu; - *tmpx1++ = (mp_digit)(r & MP_MASK); - mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); - } - - /* set final carry */ - *tmpx1++ = mu; - - /* zero words above m */ - for (i = m + 1; i < x->used; i++) { - *tmpx1++ = 0; - } - - /* clamp, sub and return */ - mp_clamp (x); - - /* if x >= n then subtract and reduce again - * Each successive "recursion" makes the input smaller and smaller. - */ - if (mp_cmp_mag (x, n) != MP_LT) { - s_mp_sub(x, n, x); - goto top; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_dr_reduce.c */ - -/* Start: bn_mp_dr_setup.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_DR_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* determines the setup value */ -void mp_dr_setup(mp_int *a, mp_digit *d) -{ - /* the casts are required if DIGIT_BIT is one less than - * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] - */ - *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - - ((mp_word)a->dp[0])); -} - -#endif - -/* End: bn_mp_dr_setup.c */ - -/* Start: bn_mp_exch.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_EXCH_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* swap the elements of two integers, for cases where you can't simply swap the - * mp_int pointers around - */ -void -mp_exch (mp_int * a, mp_int * b) -{ - mp_int t; - - t = *a; - *a = *b; - *b = t; -} -#endif - -/* End: bn_mp_exch.c */ - -/* Start: bn_mp_expt_d.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_EXPT_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* calculate c = a**b using a square-multiply algorithm */ -int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) -{ - int res, x; - mp_int g; - - if ((res = mp_init_copy (&g, a)) != MP_OKAY) { - return res; - } - - /* set initial result */ - mp_set (c, 1); - - for (x = 0; x < (int) DIGIT_BIT; x++) { - /* square */ - if ((res = mp_sqr (c, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - - /* if the bit is set multiply */ - if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { - if ((res = mp_mul (c, &g, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - } - - /* shift to next bit */ - b <<= 1; - } - - mp_clear (&g); - return MP_OKAY; -} -#endif - -/* End: bn_mp_expt_d.c */ - -/* Start: bn_mp_exptmod.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_EXPTMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - - -/* this is a shell function that calls either the normal or Montgomery - * exptmod functions. Originally the call to the montgomery code was - * embedded in the normal function but that wasted alot of stack space - * for nothing (since 99% of the time the Montgomery code would be called) - */ -int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) -{ - int dr; - - /* modulus P must be positive */ - if (P->sign == MP_NEG) { - return MP_VAL; - } - - /* if exponent X is negative we have to recurse */ - if (X->sign == MP_NEG) { -#ifdef BN_MP_INVMOD_C - mp_int tmpG, tmpX; - int err; - - /* first compute 1/G mod P */ - if ((err = mp_init(&tmpG)) != MP_OKAY) { - return err; - } - if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } - - /* now get |X| */ - if ((err = mp_init(&tmpX)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } - if ((err = mp_abs(X, &tmpX)) != MP_OKAY) { - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; - } - - /* and now compute (1/G)**|X| instead of G**X [X < 0] */ - err = mp_exptmod(&tmpG, &tmpX, P, Y); - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; -#else - /* no invmod */ - return MP_VAL; -#endif - } - -/* modified diminished radix reduction */ -#if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) - if (mp_reduce_is_2k_l(P) == MP_YES) { - return s_mp_exptmod(G, X, P, Y, 1); - } -#endif - -#ifdef BN_MP_DR_IS_MODULUS_C - /* is it a DR modulus? */ - dr = mp_dr_is_modulus(P); -#else - /* default to no */ - dr = 0; -#endif - -#ifdef BN_MP_REDUCE_IS_2K_C - /* if not, is it a unrestricted DR modulus? */ - if (dr == 0) { - dr = mp_reduce_is_2k(P) << 1; - } -#endif - - /* if the modulus is odd or dr != 0 use the montgomery method */ -#ifdef BN_MP_EXPTMOD_FAST_C - if (mp_isodd (P) == 1 || dr != 0) { - return mp_exptmod_fast (G, X, P, Y, dr); - } else { -#endif -#ifdef BN_S_MP_EXPTMOD_C - /* otherwise use the generic Barrett reduction technique */ - return s_mp_exptmod (G, X, P, Y, 0); -#else - /* no exptmod for evens */ - return MP_VAL; -#endif -#ifdef BN_MP_EXPTMOD_FAST_C - } -#endif -} - -#endif - -/* End: bn_mp_exptmod.c */ - -/* Start: bn_mp_exptmod_fast.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_EXPTMOD_FAST_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 - * - * Uses a left-to-right k-ary sliding window to compute the modular exponentiation. - * The value of k changes based on the size of the exponent. - * - * Uses Montgomery or Diminished Radix reduction [whichever appropriate] - */ - -#ifdef MP_LOW_MEM - #define TAB_SIZE 32 -#else - #define TAB_SIZE 256 -#endif - -int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) -{ - mp_int M[TAB_SIZE], res; - mp_digit buf, mp; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - - /* use a pointer to the reduction algorithm. This allows us to use - * one of many reduction algorithms without modding the guts of - * the code with if statements everywhere. - */ - int (*redux)(mp_int*,mp_int*,mp_digit); - - /* find window size */ - x = mp_count_bits (X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init(&M[x])) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear (&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* determine and setup reduction code */ - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_SETUP_C - /* now setup montgomery */ - if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { - goto LBL_M; - } -#else - err = MP_VAL; - goto LBL_M; -#endif - - /* automatically pick the comba one if available (saves quite a few calls/ifs) */ -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if (((P->used * 2 + 1) < MP_WARRAY) && - P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - redux = fast_mp_montgomery_reduce; - } else -#endif - { -#ifdef BN_MP_MONTGOMERY_REDUCE_C - /* use slower baseline Montgomery method */ - redux = mp_montgomery_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - } else if (redmode == 1) { -#if defined(BN_MP_DR_SETUP_C) && defined(BN_MP_DR_REDUCE_C) - /* setup DR reduction for moduli of the form B**k - b */ - mp_dr_setup(P, &mp); - redux = mp_dr_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } else { -#if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C) - /* setup DR reduction for moduli of the form 2**k - b */ - if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) { - goto LBL_M; - } - redux = mp_reduce_2k; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - - /* setup result */ - if ((err = mp_init (&res)) != MP_OKAY) { - goto LBL_M; - } - - /* create M table - * - - * - * The first half of the table is not computed though accept for M[0] and M[1] - */ - - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C - /* now we need R mod m */ - if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { - goto LBL_RES; - } -#else - err = MP_VAL; - goto LBL_RES; -#endif - - /* now set M[1] to G * R mod m */ - if ((err = mp_mulmod (G, &res, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } - } else { - mp_set(&res, 1); - if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } - } - - /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ - if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - - for (x = 0; x < (winsize - 1); x++) { - if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&M[1 << (winsize - 1)], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* create upper table */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&M[x], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits so break */ - if (digidx == -1) { - break; - } - /* read next digit and reset bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int)DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (mp_digit)(buf >> (DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if (mode == 0 && y == 0) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* get next bit of the window */ - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - if (redmode == 0) { - /* fixup result if Montgomery reduction is used - * recall that any value in a Montgomery system is - * actually multiplied by R mod n. So we have - * to reduce one more time to cancel out the factor - * of R. - */ - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* swap res with Y */ - mp_exch (&res, Y); - err = MP_OKAY; -LBL_RES:mp_clear (&res); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear (&M[x]); - } - return err; -} -#endif - - -/* End: bn_mp_exptmod_fast.c */ - -/* Start: bn_mp_exteuclid.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_EXTEUCLID_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* Extended euclidean algorithm of (a, b) produces - a*u1 + b*u2 = u3 - */ -int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) -{ - mp_int u1,u2,u3,v1,v2,v3,t1,t2,t3,q,tmp; - int err; - - if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) { - return err; - } - - /* initialize, (u1,u2,u3) = (1,0,a) */ - mp_set(&u1, 1); - if ((err = mp_copy(a, &u3)) != MP_OKAY) { goto _ERR; } - - /* initialize, (v1,v2,v3) = (0,1,b) */ - mp_set(&v2, 1); - if ((err = mp_copy(b, &v3)) != MP_OKAY) { goto _ERR; } - - /* loop while v3 != 0 */ - while (mp_iszero(&v3) == MP_NO) { - /* q = u3/v3 */ - if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) { goto _ERR; } - - /* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */ - if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) { goto _ERR; } - - /* (u1,u2,u3) = (v1,v2,v3) */ - if ((err = mp_copy(&v1, &u1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&v3, &u3)) != MP_OKAY) { goto _ERR; } - - /* (v1,v2,v3) = (t1,t2,t3) */ - if ((err = mp_copy(&t1, &v1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { goto _ERR; } - } - - /* make sure U3 >= 0 */ - if (u3.sign == MP_NEG) { - mp_neg(&u1, &u1); - mp_neg(&u2, &u2); - mp_neg(&u3, &u3); - } - - /* copy result out */ - if (U1 != NULL) { mp_exch(U1, &u1); } - if (U2 != NULL) { mp_exch(U2, &u2); } - if (U3 != NULL) { mp_exch(U3, &u3); } - - err = MP_OKAY; -_ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL); - return err; -} -#endif - -/* End: bn_mp_exteuclid.c */ - -/* Start: bn_mp_fread.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_FREAD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* read a bigint from a file stream in ASCII */ -int mp_fread(mp_int *a, int radix, FILE *stream) -{ - int err, ch, neg, y; - - /* clear a */ - mp_zero(a); - - /* if first digit is - then set negative */ - ch = fgetc(stream); - if (ch == '-') { - neg = MP_NEG; - ch = fgetc(stream); - } else { - neg = MP_ZPOS; - } - - for (;;) { - /* find y in the radix map */ - for (y = 0; y < radix; y++) { - if (mp_s_rmap[y] == ch) { - break; - } - } - if (y == radix) { - break; - } - - /* shift up and add */ - if ((err = mp_mul_d(a, radix, a)) != MP_OKAY) { - return err; - } - if ((err = mp_add_d(a, y, a)) != MP_OKAY) { - return err; - } - - ch = fgetc(stream); - } - if (mp_cmp_d(a, 0) != MP_EQ) { - a->sign = neg; - } - - return MP_OKAY; -} - -#endif - -/* End: bn_mp_fread.c */ - -/* Start: bn_mp_fwrite.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_FWRITE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -int mp_fwrite(mp_int *a, int radix, FILE *stream) -{ - char *buf; - int err, len, x; - - if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) { - return err; - } - - buf = OPT_CAST(char) XMALLOC (len); - if (buf == NULL) { - return MP_MEM; - } - - if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) { - XFREE (buf); - return err; - } - - for (x = 0; x < len; x++) { - if (fputc(buf[x], stream) == EOF) { - XFREE (buf); - return MP_VAL; - } - } - - XFREE (buf); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_fwrite.c */ - -/* Start: bn_mp_gcd.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_GCD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* Greatest Common Divisor using the binary method */ -int mp_gcd (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int u, v; - int k, u_lsb, v_lsb, res; - - /* either zero than gcd is the largest */ - if (mp_iszero (a) == 1 && mp_iszero (b) == 0) { - return mp_abs (b, c); - } - if (mp_iszero (a) == 0 && mp_iszero (b) == 1) { - return mp_abs (a, c); - } - - /* optimized. At this point if a == 0 then - * b must equal zero too - */ - if (mp_iszero (a) == 1) { - mp_zero(c); - return MP_OKAY; - } - - /* get copies of a and b we can modify */ - if ((res = mp_init_copy (&u, a)) != MP_OKAY) { - return res; - } - - if ((res = mp_init_copy (&v, b)) != MP_OKAY) { - goto LBL_U; - } - - /* must be positive for the remainder of the algorithm */ - u.sign = v.sign = MP_ZPOS; - - /* B1. Find the common power of two for u and v */ - u_lsb = mp_cnt_lsb(&u); - v_lsb = mp_cnt_lsb(&v); - k = MIN(u_lsb, v_lsb); - - if (k > 0) { - /* divide the power of two out */ - if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { - goto LBL_V; - } - - if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - /* divide any remaining factors of two out */ - if (u_lsb != k) { - if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - if (v_lsb != k) { - if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - while (mp_iszero(&v) == 0) { - /* make sure v is the largest */ - if (mp_cmp_mag(&u, &v) == MP_GT) { - /* swap u and v to make sure v is >= u */ - mp_exch(&u, &v); - } - - /* subtract smallest from largest */ - if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { - goto LBL_V; - } - - /* Divide out all factors of two */ - if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - /* multiply by 2**k which we divided out at the beginning */ - if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { - goto LBL_V; - } - c->sign = MP_ZPOS; - res = MP_OKAY; -LBL_V:mp_clear (&u); -LBL_U:mp_clear (&v); - return res; -} -#endif - -/* End: bn_mp_gcd.c */ - -/* Start: bn_mp_get_int.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_GET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(mp_int * a) -{ - int i; - unsigned long res; - - if (a->used == 0) { - return 0; - } - - /* get number of digits of the lsb we have to read */ - i = MIN(a->used,(int)((sizeof(unsigned long)*CHAR_BIT+DIGIT_BIT-1)/DIGIT_BIT))-1; - - /* get most significant digit of result */ - res = DIGIT(a,i); - - while (--i >= 0) { - res = (res << DIGIT_BIT) | DIGIT(a,i); - } - - /* force result to 32-bits always so it is consistent on non 32-bit platforms */ - return res & 0xFFFFFFFFUL; -} -#endif - -/* End: bn_mp_get_int.c */ - -/* Start: bn_mp_grow.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_GROW_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* grow as required */ -int mp_grow (mp_int * a, int size) -{ - int i; - mp_digit *tmp; - - /* if the alloc size is smaller alloc more ram */ - if (a->alloc < size) { - /* ensure there are always at least MP_PREC digits extra on top */ - size += (MP_PREC * 2) - (size % MP_PREC); - - /* reallocate the array a->dp - * - * We store the return in a temporary variable - * in case the operation failed we don't want - * to overwrite the dp member of a. - */ - tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * size); - if (tmp == NULL) { - /* reallocation failed but "a" is still valid [can be freed] */ - return MP_MEM; - } - - /* reallocation succeeded so set a->dp */ - a->dp = tmp; - - /* zero excess digits */ - i = a->alloc; - a->alloc = size; - for (; i < a->alloc; i++) { - a->dp[i] = 0; - } - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_grow.c */ - -/* Start: bn_mp_init.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_INIT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* init a new mp_int */ -int mp_init (mp_int * a) -{ - int i; - - /* allocate memory required and clear it */ - a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * MP_PREC); - if (a->dp == NULL) { - return MP_MEM; - } - - /* set the digits to zero */ - for (i = 0; i < MP_PREC; i++) { - a->dp[i] = 0; - } - - /* set the used to zero, allocated digits to the default precision - * and sign to positive */ - a->used = 0; - a->alloc = MP_PREC; - a->sign = MP_ZPOS; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_init.c */ - -/* Start: bn_mp_init_copy.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_INIT_COPY_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* creates "a" then copies b into it */ -int mp_init_copy (mp_int * a, mp_int * b) -{ - int res; - - if ((res = mp_init (a)) != MP_OKAY) { - return res; - } - return mp_copy (b, a); -} -#endif - -/* End: bn_mp_init_copy.c */ - -/* Start: bn_mp_init_multi.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_INIT_MULTI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ -#include <stdarg.h> - -int mp_init_multi(mp_int *mp, ...) -{ - mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ - int n = 0; /* Number of ok inits */ - mp_int* cur_arg = mp; - va_list args; - - va_start(args, mp); /* init args to next argument from caller */ - while (cur_arg != NULL) { - if (mp_init(cur_arg) != MP_OKAY) { - /* Oops - error! Back-track and mp_clear what we already - succeeded in init-ing, then return error. - */ - va_list clean_args; - - /* end the current list */ - va_end(args); - - /* now start cleaning up */ - cur_arg = mp; - va_start(clean_args, mp); - while (n--) { - mp_clear(cur_arg); - cur_arg = va_arg(clean_args, mp_int*); - } - va_end(clean_args); - res = MP_MEM; - break; - } - n++; - cur_arg = va_arg(args, mp_int*); - } - va_end(args); - return res; /* Assumed ok, if error flagged above. */ -} - -#endif - -/* End: bn_mp_init_multi.c */ - -/* Start: bn_mp_init_set.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_INIT_SET_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* initialize and set a digit */ -int mp_init_set (mp_int * a, mp_digit b) -{ - int err; - if ((err = mp_init(a)) != MP_OKAY) { - return err; - } - mp_set(a, b); - return err; -} -#endif - -/* End: bn_mp_init_set.c */ - -/* Start: bn_mp_init_set_int.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_INIT_SET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* initialize and set a digit */ -int mp_init_set_int (mp_int * a, unsigned long b) -{ - int err; - if ((err = mp_init(a)) != MP_OKAY) { - return err; - } - return mp_set_int(a, b); -} -#endif - -/* End: bn_mp_init_set_int.c */ - -/* Start: bn_mp_init_size.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_INIT_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* init an mp_init for a given size */ -int mp_init_size (mp_int * a, int size) -{ - int x; - - /* pad size so there are always extra digits */ - size += (MP_PREC * 2) - (size % MP_PREC); - - /* alloc mem */ - a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * size); - if (a->dp == NULL) { - return MP_MEM; - } - - /* set the members */ - a->used = 0; - a->alloc = size; - a->sign = MP_ZPOS; - - /* zero the digits */ - for (x = 0; x < size; x++) { - a->dp[x] = 0; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_init_size.c */ - -/* Start: bn_mp_invmod.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_INVMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* hac 14.61, pp608 */ -int mp_invmod (mp_int * a, mp_int * b, mp_int * c) -{ - /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { - return MP_VAL; - } - -#ifdef BN_FAST_MP_INVMOD_C - /* if the modulus is odd we can use a faster routine instead */ - if (mp_isodd (b) == 1) { - return fast_mp_invmod (a, b, c); - } -#endif - -#ifdef BN_MP_INVMOD_SLOW_C - return mp_invmod_slow(a, b, c); -#endif - - return MP_VAL; -} -#endif - -/* End: bn_mp_invmod.c */ - -/* Start: bn_mp_invmod_slow.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_INVMOD_SLOW_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* hac 14.61, pp608 */ -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x, y, u, v, A, B, C, D; - int res; - - /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { - return MP_VAL; - } - - /* init temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, - &A, &B, &C, &D, NULL)) != MP_OKAY) { - return res; - } - - /* x = a, y = b */ - if ((res = mp_mod(a, b, &x)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (b, &y)) != MP_OKAY) { - goto LBL_ERR; - } - - /* 2. [modified] if x,y are both even then return an error! */ - if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { - res = MP_VAL; - goto LBL_ERR; - } - - /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ - if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto LBL_ERR; - } - mp_set (&A, 1); - mp_set (&D, 1); - -top: - /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { - /* 4.1 u = u/2 */ - if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto LBL_ERR; - } - /* 4.2 if A or B is odd then */ - if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { - /* A = (A+y)/2, B = (B-x)/2 */ - if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* A = A/2, B = B/2 */ - if ((res = mp_div_2 (&A, &A)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { - /* 5.1 v = v/2 */ - if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto LBL_ERR; - } - /* 5.2 if C or D is odd then */ - if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { - /* C = (C+y)/2, D = (D-x)/2 */ - if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* C = C/2, D = D/2 */ - if ((res = mp_div_2 (&C, &C)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 6. if u >= v then */ - if (mp_cmp (&u, &v) != MP_LT) { - /* u = u - v, A = A - C, B = B - D */ - if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&A, &C, &A)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } else { - /* v - v - u, C = C - A, D = D - B */ - if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&C, &A, &C)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) - goto top; - - /* now a = C, b = D, gcd == g*v */ - - /* if v != 1 then there is no inverse */ - if (mp_cmp_d (&v, 1) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* if its too low */ - while (mp_cmp_d(&C, 0) == MP_LT) { - if ((res = mp_add(&C, b, &C)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* too big */ - while (mp_cmp_mag(&C, b) != MP_LT) { - if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* C is now the inverse */ - mp_exch (&C, c); - res = MP_OKAY; -LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); - return res; -} -#endif - -/* End: bn_mp_invmod_slow.c */ - -/* Start: bn_mp_is_square.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_IS_SQUARE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* Check if remainders are possible squares - fast exclude non-squares */ -static const char rem_128[128] = { - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 -}; - -static const char rem_105[105] = { - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, - 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, - 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, - 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 -}; - -/* Store non-zero to ret if arg is square, and zero if not */ -int mp_is_square(mp_int *arg,int *ret) -{ - int res; - mp_digit c; - mp_int t; - unsigned long r; - - /* Default to Non-square :) */ - *ret = MP_NO; - - if (arg->sign == MP_NEG) { - return MP_VAL; - } - - /* digits used? (TSD) */ - if (arg->used == 0) { - return MP_OKAY; - } - - /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */ - if (rem_128[127 & DIGIT(arg,0)] == 1) { - return MP_OKAY; - } - - /* Next check mod 105 (3*5*7) */ - if ((res = mp_mod_d(arg,105,&c)) != MP_OKAY) { - return res; - } - if (rem_105[c] == 1) { - return MP_OKAY; - } - - - if ((res = mp_init_set_int(&t,11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) { - return res; - } - if ((res = mp_mod(arg,&t,&t)) != MP_OKAY) { - goto ERR; - } - r = mp_get_int(&t); - /* Check for other prime modules, note it's not an ERROR but we must - * free "t" so the easiest way is to goto ERR. We know that res - * is already equal to MP_OKAY from the mp_mod call - */ - if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; - if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; - if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; - if ( (1L<<(r%19)) & 0x4F50CL ) goto ERR; - if ( (1L<<(r%23)) & 0x7ACCA0L ) goto ERR; - if ( (1L<<(r%29)) & 0xC2EDD0CL ) goto ERR; - if ( (1L<<(r%31)) & 0x6DE2B848L ) goto ERR; - - /* Final check - is sqr(sqrt(arg)) == arg ? */ - if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sqr(&t,&t)) != MP_OKAY) { - goto ERR; - } - - *ret = (mp_cmp_mag(&t,arg) == MP_EQ) ? MP_YES : MP_NO; -ERR:mp_clear(&t); - return res; -} -#endif - -/* End: bn_mp_is_square.c */ - -/* Start: bn_mp_jacobi.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_JACOBI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* computes the jacobi c = (a | n) (or Legendre if n is prime) - * HAC pp. 73 Algorithm 2.149 - */ -int mp_jacobi (mp_int * a, mp_int * p, int *c) -{ - mp_int a1, p1; - int k, s, r, res; - mp_digit residue; - - /* if p <= 0 return MP_VAL */ - if (mp_cmp_d(p, 0) != MP_GT) { - return MP_VAL; - } - - /* step 1. if a == 0, return 0 */ - if (mp_iszero (a) == 1) { - *c = 0; - return MP_OKAY; - } - - /* step 2. if a == 1, return 1 */ - if (mp_cmp_d (a, 1) == MP_EQ) { - *c = 1; - return MP_OKAY; - } - - /* default */ - s = 0; - - /* step 3. write a = a1 * 2**k */ - if ((res = mp_init_copy (&a1, a)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&p1)) != MP_OKAY) { - goto LBL_A1; - } - - /* divide out larger power of two */ - k = mp_cnt_lsb(&a1); - if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) { - goto LBL_P1; - } - - /* step 4. if e is even set s=1 */ - if ((k & 1) == 0) { - s = 1; - } else { - /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ - residue = p->dp[0] & 7; - - if (residue == 1 || residue == 7) { - s = 1; - } else if (residue == 3 || residue == 5) { - s = -1; - } - } - - /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ - if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { - s = -s; - } - - /* if a1 == 1 we're done */ - if (mp_cmp_d (&a1, 1) == MP_EQ) { - *c = s; - } else { - /* n1 = n mod a1 */ - if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { - goto LBL_P1; - } - if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { - goto LBL_P1; - } - *c = s * r; - } - - /* done */ - res = MP_OKAY; -LBL_P1:mp_clear (&p1); -LBL_A1:mp_clear (&a1); - return res; -} -#endif - -/* End: bn_mp_jacobi.c */ - -/* Start: bn_mp_karatsuba_mul.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_KARATSUBA_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* c = |a| * |b| using Karatsuba Multiplication using - * three half size multiplications - * - * Let B represent the radix [e.g. 2**DIGIT_BIT] and - * let n represent half of the number of digits in - * the min(a,b) - * - * a = a1 * B**n + a0 - * b = b1 * B**n + b0 - * - * Then, a * b => - a1b1 * B**2n + ((a1 - a0)(b1 - b0) + a0b0 + a1b1) * B + a0b0 - * - * Note that a1b1 and a0b0 are used twice and only need to be - * computed once. So in total three half size (half # of - * digit) multiplications are performed, a0b0, a1b1 and - * (a1-b1)(a0-b0) - * - * Note that a multiplication of half the digits requires - * 1/4th the number of single precision multiplications so in - * total after one call 25% of the single precision multiplications - * are saved. Note also that the call to mp_mul can end up back - * in this function if the a0, a1, b0, or b1 are above the threshold. - * This is known as divide-and-conquer and leads to the famous - * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than - * the standard O(N**2) that the baseline/comba methods use. - * Generally though the overhead of this method doesn't pay off - * until a certain size (N ~ 80) is reached. - */ -int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x0, x1, y0, y1, t1, x0y0, x1y1; - int B, err; - - /* default the return code to an error */ - err = MP_MEM; - - /* min # of digits */ - B = MIN (a->used, b->used); - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size (&x0, B) != MP_OKAY) - goto ERR; - if (mp_init_size (&x1, a->used - B) != MP_OKAY) - goto X0; - if (mp_init_size (&y0, B) != MP_OKAY) - goto X1; - if (mp_init_size (&y1, b->used - B) != MP_OKAY) - goto Y0; - - /* init temps */ - if (mp_init_size (&t1, B * 2) != MP_OKAY) - goto Y1; - if (mp_init_size (&x0y0, B * 2) != MP_OKAY) - goto T1; - if (mp_init_size (&x1y1, B * 2) != MP_OKAY) - goto X0Y0; - - /* now shift the digits */ - x0.used = y0.used = B; - x1.used = a->used - B; - y1.used = b->used - B; - - { - register int x; - register mp_digit *tmpa, *tmpb, *tmpx, *tmpy; - - /* we copy the digits directly instead of using higher level functions - * since we also need to shift the digits - */ - tmpa = a->dp; - tmpb = b->dp; - - tmpx = x0.dp; - tmpy = y0.dp; - for (x = 0; x < B; x++) { - *tmpx++ = *tmpa++; - *tmpy++ = *tmpb++; - } - - tmpx = x1.dp; - for (x = B; x < a->used; x++) { - *tmpx++ = *tmpa++; - } - - tmpy = y1.dp; - for (x = B; x < b->used; x++) { - *tmpy++ = *tmpb++; - } - } - - /* only need to clamp the lower words since by definition the - * upper words x1/y1 must have a known number of digits - */ - mp_clamp (&x0); - mp_clamp (&y0); - - /* now calc the products x0y0 and x1y1 */ - /* after this x0 is no longer required, free temp [x0==t2]! */ - if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) - goto X1Y1; /* x0y0 = x0*y0 */ - if (mp_mul (&x1, &y1, &x1y1) != MP_OKAY) - goto X1Y1; /* x1y1 = x1*y1 */ - - /* now calc x1-x0 and y1-y0 */ - if (mp_sub (&x1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = x1 - x0 */ - if (mp_sub (&y1, &y0, &x0) != MP_OKAY) - goto X1Y1; /* t2 = y1 - y0 */ - if (mp_mul (&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1 - x0) * (y1 - y0) */ - - /* add x0y0 */ - if (mp_add (&x0y0, &x1y1, &x0) != MP_OKAY) - goto X1Y1; /* t2 = x0y0 + x1y1 */ - if (mp_sub (&x0, &t1, &t1) != MP_OKAY) - goto X1Y1; /* t1 = x0y0 + x1y1 - (x1-x0)*(y1-y0) */ - - /* shift by B */ - if (mp_lshd (&t1, B) != MP_OKAY) - goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))<<B */ - if (mp_lshd (&x1y1, B * 2) != MP_OKAY) - goto X1Y1; /* x1y1 = x1y1 << 2*B */ - - if (mp_add (&x0y0, &t1, &t1) != MP_OKAY) - goto X1Y1; /* t1 = x0y0 + t1 */ - if (mp_add (&t1, &x1y1, c) != MP_OKAY) - goto X1Y1; /* t1 = x0y0 + t1 + x1y1 */ - - /* Algorithm succeeded set the return code to MP_OKAY */ - err = MP_OKAY; - -X1Y1:mp_clear (&x1y1); -X0Y0:mp_clear (&x0y0); -T1:mp_clear (&t1); -Y1:mp_clear (&y1); -Y0:mp_clear (&y0); -X1:mp_clear (&x1); -X0:mp_clear (&x0); -ERR: - return err; -} -#endif - -/* End: bn_mp_karatsuba_mul.c */ - -/* Start: bn_mp_karatsuba_sqr.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_KARATSUBA_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* Karatsuba squaring, computes b = a*a using three - * half size squarings - * - * See comments of karatsuba_mul for details. It - * is essentially the same algorithm but merely - * tuned to perform recursive squarings. - */ -int mp_karatsuba_sqr (mp_int * a, mp_int * b) -{ - mp_int x0, x1, t1, t2, x0x0, x1x1; - int B, err; - - err = MP_MEM; - - /* min # of digits */ - B = a->used; - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size (&x0, B) != MP_OKAY) - goto ERR; - if (mp_init_size (&x1, a->used - B) != MP_OKAY) - goto X0; - - /* init temps */ - if (mp_init_size (&t1, a->used * 2) != MP_OKAY) - goto X1; - if (mp_init_size (&t2, a->used * 2) != MP_OKAY) - goto T1; - if (mp_init_size (&x0x0, B * 2) != MP_OKAY) - goto T2; - if (mp_init_size (&x1x1, (a->used - B) * 2) != MP_OKAY) - goto X0X0; - - { - register int x; - register mp_digit *dst, *src; - - src = a->dp; - - /* now shift the digits */ - dst = x0.dp; - for (x = 0; x < B; x++) { - *dst++ = *src++; - } - - dst = x1.dp; - for (x = B; x < a->used; x++) { - *dst++ = *src++; - } - } - - x0.used = B; - x1.used = a->used - B; - - mp_clamp (&x0); - - /* now calc the products x0*x0 and x1*x1 */ - if (mp_sqr (&x0, &x0x0) != MP_OKAY) - goto X1X1; /* x0x0 = x0*x0 */ - if (mp_sqr (&x1, &x1x1) != MP_OKAY) - goto X1X1; /* x1x1 = x1*x1 */ - - /* now calc (x1-x0)**2 */ - if (mp_sub (&x1, &x0, &t1) != MP_OKAY) - goto X1X1; /* t1 = x1 - x0 */ - if (mp_sqr (&t1, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ - - /* add x0y0 */ - if (s_mp_add (&x0x0, &x1x1, &t2) != MP_OKAY) - goto X1X1; /* t2 = x0x0 + x1x1 */ - if (mp_sub (&t2, &t1, &t1) != MP_OKAY) - goto X1X1; /* t1 = x0x0 + x1x1 - (x1-x0)*(x1-x0) */ - - /* shift by B */ - if (mp_lshd (&t1, B) != MP_OKAY) - goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<<B */ - if (mp_lshd (&x1x1, B * 2) != MP_OKAY) - goto X1X1; /* x1x1 = x1x1 << 2*B */ - - if (mp_add (&x0x0, &t1, &t1) != MP_OKAY) - goto X1X1; /* t1 = x0x0 + t1 */ - if (mp_add (&t1, &x1x1, b) != MP_OKAY) - goto X1X1; /* t1 = x0x0 + t1 + x1x1 */ - - err = MP_OKAY; - -X1X1:mp_clear (&x1x1); -X0X0:mp_clear (&x0x0); -T2:mp_clear (&t2); -T1:mp_clear (&t1); -X1:mp_clear (&x1); -X0:mp_clear (&x0); -ERR: - return err; -} -#endif - -/* End: bn_mp_karatsuba_sqr.c */ - -/* Start: bn_mp_lcm.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_LCM_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* computes least common multiple as |a*b|/(a, b) */ -int mp_lcm (mp_int * a, mp_int * b, mp_int * c) -{ - int res; - mp_int t1, t2; - - - if ((res = mp_init_multi (&t1, &t2, NULL)) != MP_OKAY) { - return res; - } - - /* t1 = get the GCD of the two inputs */ - if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) { - goto LBL_T; - } - - /* divide the smallest by the GCD */ - if (mp_cmp_mag(a, b) == MP_LT) { - /* store quotient in t2 such that t2 * b is the LCM */ - if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) { - goto LBL_T; - } - res = mp_mul(b, &t2, c); - } else { - /* store quotient in t2 such that t2 * a is the LCM */ - if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) { - goto LBL_T; - } - res = mp_mul(a, &t2, c); - } - - /* fix the sign to positive */ - c->sign = MP_ZPOS; - -LBL_T: - mp_clear_multi (&t1, &t2, NULL); - return res; -} -#endif - -/* End: bn_mp_lcm.c */ - -/* Start: bn_mp_lshd.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_LSHD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* shift left a certain amount of digits */ -int mp_lshd (mp_int * a, int b) -{ - int x, res; - - /* if its less than zero return */ - if (b <= 0) { - return MP_OKAY; - } - - /* grow to fit the new digits */ - if (a->alloc < a->used + b) { - if ((res = mp_grow (a, a->used + b)) != MP_OKAY) { - return res; - } - } - - { - register mp_digit *top, *bottom; - - /* increment the used by the shift amount then copy upwards */ - a->used += b; - - /* top */ - top = a->dp + a->used - 1; - - /* base */ - bottom = a->dp + a->used - 1 - b; - - /* much like mp_rshd this is implemented using a sliding window - * except the window goes the otherway around. Copying from - * the bottom to the top. see bn_mp_rshd.c for more info. - */ - for (x = a->used - 1; x >= b; x--) { - *top-- = *bottom--; - } - - /* zero the lower digits */ - top = a->dp; - for (x = 0; x < b; x++) { - *top++ = 0; - } - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_lshd.c */ - -/* Start: bn_mp_mod.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* c = a mod b, 0 <= c < b */ -int -mp_mod (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int t; - int res; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_div (a, b, NULL, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - - if (t.sign != b->sign) { - res = mp_add (b, &t, c); - } else { - res = MP_OKAY; - mp_exch (&t, c); - } - - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_mod.c */ - -/* Start: bn_mp_mod_2d.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MOD_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* calc a value mod 2**b */ -int -mp_mod_2d (mp_int * a, int b, mp_int * c) -{ - int x, res; - - /* if b is <= 0 then zero the int */ - if (b <= 0) { - mp_zero (c); - return MP_OKAY; - } - - /* if the modulus is larger than the value than return */ - if (b >= (int) (a->used * DIGIT_BIT)) { - res = mp_copy (a, c); - return res; - } - - /* copy */ - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - - /* zero digits above the last digit of the modulus */ - for (x = (b / DIGIT_BIT) + ((b % DIGIT_BIT) == 0 ? 0 : 1); x < c->used; x++) { - c->dp[x] = 0; - } - /* clear the digit that is not completely outside/inside the modulus */ - c->dp[b / DIGIT_BIT] &= - (mp_digit) ((((mp_digit) 1) << (((mp_digit) b) % DIGIT_BIT)) - ((mp_digit) 1)); - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_mp_mod_2d.c */ - -/* Start: bn_mp_mod_d.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MOD_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -int -mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) -{ - return mp_div_d(a, b, NULL, c); -} -#endif - -/* End: bn_mp_mod_d.c */ - -/* Start: bn_mp_montgomery_calc_normalization.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* - * shifts with subtractions when the result is greater than b. - * - * The method is slightly modified to shift B unconditionally upto just under - * the leading bit of b. This saves alot of multiple precision shifting. - */ -int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) -{ - int x, bits, res; - - /* how many bits of last digit does b use */ - bits = mp_count_bits (b) % DIGIT_BIT; - - if (b->used > 1) { - if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { - return res; - } - } else { - mp_set(a, 1); - bits = 1; - } - - - /* now compute C = A * B mod b */ - for (x = bits - 1; x < (int)DIGIT_BIT; x++) { - if ((res = mp_mul_2 (a, a)) != MP_OKAY) { - return res; - } - if (mp_cmp_mag (a, b) != MP_LT) { - if ((res = s_mp_sub (a, b, a)) != MP_OKAY) { - return res; - } - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_calc_normalization.c */ - -/* Start: bn_mp_montgomery_reduce.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction */ -int -mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) -{ - int ix, res, digs; - mp_digit mu; - - /* can the fast reduction [comba] method be used? - * - * Note that unlike in mul you're safely allowed *less* - * than the available columns [255 per default] since carries - * are fixed up in the inner loop. - */ - digs = n->used * 2 + 1; - if ((digs < MP_WARRAY) && - n->used < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_mp_montgomery_reduce (x, n, rho); - } - - /* grow the input as required */ - if (x->alloc < digs) { - if ((res = mp_grow (x, digs)) != MP_OKAY) { - return res; - } - } - x->used = digs; - - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * rho mod b - * - * The value of rho must be precalculated via - * montgomery_setup() such that - * it equals -1/n0 mod b this allows the - * following inner loop to reduce the - * input one digit at a time - */ - mu = (mp_digit) (((mp_word)x->dp[ix]) * ((mp_word)rho) & MP_MASK); - - /* a = a + mu * m * b**i */ - { - register int iy; - register mp_digit *tmpn, *tmpx, u; - register mp_word r; - - /* alias for digits of the modulus */ - tmpn = n->dp; - - /* alias for the digits of x [the input] */ - tmpx = x->dp + ix; - - /* set the carry to zero */ - u = 0; - - /* Multiply and add in place */ - for (iy = 0; iy < n->used; iy++) { - /* compute product and sum */ - r = ((mp_word)mu) * ((mp_word)*tmpn++) + - ((mp_word) u) + ((mp_word) * tmpx); - - /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - - /* fix digit */ - *tmpx++ = (mp_digit)(r & ((mp_word) MP_MASK)); - } - /* At this point the ix'th digit of x should be zero */ - - - /* propagate carries upwards as required*/ - while (u) { - *tmpx += u; - u = *tmpx >> DIGIT_BIT; - *tmpx++ &= MP_MASK; - } - } - } - - /* at this point the n.used'th least - * significant digits of x are all zero - * which means we can shift x to the - * right by n.used digits and the - * residue is unchanged. - */ - - /* x = x/b**n.used */ - mp_clamp(x); - mp_rshd (x, n->used); - - /* if x >= n then x = x - n */ - if (mp_cmp_mag (x, n) != MP_LT) { - return s_mp_sub (x, n, x); - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_reduce.c */ - -/* Start: bn_mp_montgomery_setup.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MONTGOMERY_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* setups the montgomery reduction stuff */ -int -mp_montgomery_setup (mp_int * n, mp_digit * rho) -{ - mp_digit x, b; - -/* fast inversion mod 2**k - * - * Based on the fact that - * - * XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n) - * => 2*X*A - X*X*A*A = 1 - * => 2*(1) - (1) = 1 - */ - b = n->dp[0]; - - if ((b & 1) == 0) { - return MP_VAL; - } - - x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ - x *= 2 - b * x; /* here x*a==1 mod 2**8 */ -#if !defined(MP_8BIT) - x *= 2 - b * x; /* here x*a==1 mod 2**16 */ -#endif -#if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) - x *= 2 - b * x; /* here x*a==1 mod 2**32 */ -#endif -#ifdef MP_64BIT - x *= 2 - b * x; /* here x*a==1 mod 2**64 */ -#endif - - /* rho = -1/m mod b */ - *rho = (((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_setup.c */ - -/* Start: bn_mp_mul.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* high level multiplication (handles sign) */ -int mp_mul (mp_int * a, mp_int * b, mp_int * c) -{ - int res, neg; - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - - /* use Toom-Cook? */ -#ifdef BN_MP_TOOM_MUL_C - if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) { - res = mp_toom_mul(a, b, c); - } else -#endif -#ifdef BN_MP_KARATSUBA_MUL_C - /* use Karatsuba? */ - if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) { - res = mp_karatsuba_mul (a, b, c); - } else -#endif - { - /* can we use the fast multiplier? - * - * The fast multiplier can be used if the output will - * have less than MP_WARRAY digits and the number of - * digits won't affect carry propagation - */ - int digs = a->used + b->used + 1; - -#ifdef BN_FAST_S_MP_MUL_DIGS_C - if ((digs < MP_WARRAY) && - MIN(a->used, b->used) <= - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - res = fast_s_mp_mul_digs (a, b, c, digs); - } else -#endif -#ifdef BN_S_MP_MUL_DIGS_C - res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ -#else - res = MP_VAL; -#endif - - } - c->sign = (c->used > 0) ? neg : MP_ZPOS; - return res; -} -#endif - -/* End: bn_mp_mul.c */ - -/* Start: bn_mp_mul_2.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MUL_2_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* b = a*2 */ -int mp_mul_2(mp_int * a, mp_int * b) -{ - int x, res, oldused; - - /* grow to accomodate result */ - if (b->alloc < a->used + 1) { - if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) { - return res; - } - } - - oldused = b->used; - b->used = a->used; - - { - register mp_digit r, rr, *tmpa, *tmpb; - - /* alias for source */ - tmpa = a->dp; - - /* alias for dest */ - tmpb = b->dp; - - /* carry */ - r = 0; - for (x = 0; x < a->used; x++) { - - /* get what will be the *next* carry bit from the - * MSB of the current digit - */ - rr = *tmpa >> ((mp_digit)(DIGIT_BIT - 1)); - - /* now shift up this digit, add in the carry [from the previous] */ - *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; - - /* copy the carry that would be from the source - * digit into the next iteration - */ - r = rr; - } - - /* new leading digit? */ - if (r != 0) { - /* add a MSB which is always 1 at this point */ - *tmpb = 1; - ++(b->used); - } - - /* now zero any excess digits on the destination - * that we didn't write to - */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } - } - b->sign = a->sign; - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_2.c */ - -/* Start: bn_mp_mul_2d.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MUL_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* shift left by a certain bit count */ -int mp_mul_2d (mp_int * a, int b, mp_int * c) -{ - mp_digit d; - int res; - - /* copy */ - if (a != c) { - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - } - - if (c->alloc < (int)(c->used + b/DIGIT_BIT + 1)) { - if ((res = mp_grow (c, c->used + b / DIGIT_BIT + 1)) != MP_OKAY) { - return res; - } - } - - /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { - if ((res = mp_lshd (c, b / DIGIT_BIT)) != MP_OKAY) { - return res; - } - } - - /* shift any bit count < DIGIT_BIT */ - d = (mp_digit) (b % DIGIT_BIT); - if (d != 0) { - register mp_digit *tmpc, shift, mask, r, rr; - register int x; - - /* bitmask for carries */ - mask = (((mp_digit)1) << d) - 1; - - /* shift for msbs */ - shift = DIGIT_BIT - d; - - /* alias */ - tmpc = c->dp; - - /* carry */ - r = 0; - for (x = 0; x < c->used; x++) { - /* get the higher bits of the current word */ - rr = (*tmpc >> shift) & mask; - - /* shift the current word and OR in the carry */ - *tmpc = ((*tmpc << d) | r) & MP_MASK; - ++tmpc; - - /* set the carry to the carry bits of the current word */ - r = rr; - } - - /* set final carry */ - if (r != 0) { - c->dp[(c->used)++] = r; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_2d.c */ - -/* Start: bn_mp_mul_d.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MUL_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* multiply by a digit */ -int -mp_mul_d (mp_int * a, mp_digit b, mp_int * c) -{ - mp_digit u, *tmpa, *tmpc; - mp_word r; - int ix, res, olduse; - - /* make sure c is big enough to hold a*b */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* get the original destinations used count */ - olduse = c->used; - - /* set the sign */ - c->sign = a->sign; - - /* alias for a->dp [source] */ - tmpa = a->dp; - - /* alias for c->dp [dest] */ - tmpc = c->dp; - - /* zero carry */ - u = 0; - - /* compute columns */ - for (ix = 0; ix < a->used; ix++) { - /* compute product and carry sum for this term */ - r = ((mp_word) u) + ((mp_word)*tmpa++) * ((mp_word)b); - - /* mask off higher bits to get a single digit */ - *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* send carry into next iteration */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - - /* store final carry [if any] and increment ix offset */ - *tmpc++ = u; - ++ix; - - /* now zero digits above the top */ - while (ix++ < olduse) { - *tmpc++ = 0; - } - - /* set used count */ - c->used = a->used + 1; - mp_clamp(c); - - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_d.c */ - -/* Start: bn_mp_mulmod.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_MULMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* d = a * b (mod c) */ -int -mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_mul (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_mulmod.c */ - -/* Start: bn_mp_n_root.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_N_ROOT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. - */ -int mp_n_root (mp_int * a, mp_digit b, mp_int * c) -{ - mp_int t1, t2, t3; - int res, neg; - - /* input must be positive if b is even */ - if ((b & 1) == 0 && a->sign == MP_NEG) { - return MP_VAL; - } - - if ((res = mp_init (&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init (&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - neg = a->sign; - a->sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set (&t2, 2); - - do { - /* t1 = t2 */ - if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp (&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp (&t2, a) == MP_GT) { - if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* reset the sign of a first */ - a->sign = neg; - - /* set the result */ - mp_exch (&t1, c); - - /* set the sign of the result */ - c->sign = neg; - - res = MP_OKAY; - -LBL_T3:mp_clear (&t3); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); - return res; -} -#endif - -/* End: bn_mp_n_root.c */ - -/* Start: bn_mp_neg.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_NEG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* b = -a */ -int mp_neg (mp_int * a, mp_int * b) -{ - int res; - if (a != b) { - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } - } - - if (mp_iszero(b) != MP_YES) { - b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; - } else { - b->sign = MP_ZPOS; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_neg.c */ - -/* Start: bn_mp_or.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_OR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* OR two ints together */ -int mp_or (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] |= x->dp[ix]; - } - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_or.c */ - -/* Start: bn_mp_prime_fermat.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_PRIME_FERMAT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* performs one Fermat test. - * - * If "a" were prime then b**a == b (mod a) since the order of - * the multiplicative sub-group would be phi(a) = a-1. That means - * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). - * - * Sets result to 1 if the congruence holds, or zero otherwise. - */ -int mp_prime_fermat (mp_int * a, mp_int * b, int *result) -{ - mp_int t; - int err; - - /* default to composite */ - *result = MP_NO; - - /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { - return MP_VAL; - } - - /* init t */ - if ((err = mp_init (&t)) != MP_OKAY) { - return err; - } - - /* compute t = b**a mod a */ - if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) { - goto LBL_T; - } - - /* is it equal to b? */ - if (mp_cmp (&t, b) == MP_EQ) { - *result = MP_YES; - } - - err = MP_OKAY; -LBL_T:mp_clear (&t); - return err; -} -#endif - -/* End: bn_mp_prime_fermat.c */ - -/* Start: bn_mp_prime_is_divisible.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_PRIME_IS_DIVISIBLE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* determines if an integers is divisible by one - * of the first PRIME_SIZE primes or not - * - * sets result to 0 if not, 1 if yes - */ -int mp_prime_is_divisible (mp_int * a, int *result) -{ - int err, ix; - mp_digit res; - - /* default to not */ - *result = MP_NO; - - for (ix = 0; ix < PRIME_SIZE; ix++) { - /* what is a mod LBL_prime_tab[ix] */ - if ((err = mp_mod_d (a, ltm_prime_tab[ix], &res)) != MP_OKAY) { - return err; - } - - /* is the residue zero? */ - if (res == 0) { - *result = MP_YES; - return MP_OKAY; - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_prime_is_divisible.c */ - -/* Start: bn_mp_prime_is_prime.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_PRIME_IS_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* performs a variable number of rounds of Miller-Rabin - * - * Probability of error after t rounds is no more than - - * - * Sets result to 1 if probably prime, 0 otherwise - */ -int mp_prime_is_prime (mp_int * a, int t, int *result) -{ - mp_int b; - int ix, err, res; - - /* default to no */ - *result = MP_NO; - - /* valid value of t? */ - if (t <= 0 || t > PRIME_SIZE) { - return MP_VAL; - } - - /* is the input equal to one of the primes in the table? */ - for (ix = 0; ix < PRIME_SIZE; ix++) { - if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) { - *result = 1; - return MP_OKAY; - } - } - - /* first perform trial division */ - if ((err = mp_prime_is_divisible (a, &res)) != MP_OKAY) { - return err; - } - - /* return if it was trivially divisible */ - if (res == MP_YES) { - return MP_OKAY; - } - - /* now perform the miller-rabin rounds */ - if ((err = mp_init (&b)) != MP_OKAY) { - return err; - } - - for (ix = 0; ix < t; ix++) { - /* set the prime */ - mp_set (&b, ltm_prime_tab[ix]); - - if ((err = mp_prime_miller_rabin (a, &b, &res)) != MP_OKAY) { - goto LBL_B; - } - - if (res == MP_NO) { - goto LBL_B; - } - } - - /* passed the test */ - *result = MP_YES; -LBL_B:mp_clear (&b); - return err; -} -#endif - -/* End: bn_mp_prime_is_prime.c */ - -/* Start: bn_mp_prime_miller_rabin.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_PRIME_MILLER_RABIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* Miller-Rabin test of "a" to the base of "b" as described in - * HAC pp. 139 Algorithm 4.24 - * - * Sets result to 0 if definitely composite or 1 if probably prime. - * Randomly the chance of error is no more than 1/4 and often - * very much lower. - */ -int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) -{ - mp_int n1, y, r; - int s, j, err; - - /* default */ - *result = MP_NO; - - /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { - return MP_VAL; - } - - /* get n1 = a - 1 */ - if ((err = mp_init_copy (&n1, a)) != MP_OKAY) { - return err; - } - if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) { - goto LBL_N1; - } - - /* set 2**s * r = n1 */ - if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) { - goto LBL_N1; - } - - /* count the number of least significant bits - * which are zero - */ - s = mp_cnt_lsb(&r); - - /* now divide n - 1 by 2**s */ - if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) { - goto LBL_R; - } - - /* compute y = b**r mod a */ - if ((err = mp_init (&y)) != MP_OKAY) { - goto LBL_R; - } - if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) { - goto LBL_Y; - } - - /* if y != 1 and y != n1 do */ - if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) { - j = 1; - /* while j <= s-1 and y != n1 */ - while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { - if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { - goto LBL_Y; - } - - /* if y == 1 then composite */ - if (mp_cmp_d (&y, 1) == MP_EQ) { - goto LBL_Y; - } - - ++j; - } - - /* if y != n1 then composite */ - if (mp_cmp (&y, &n1) != MP_EQ) { - goto LBL_Y; - } - } - - /* probably prime now */ - *result = MP_YES; -LBL_Y:mp_clear (&y); -LBL_R:mp_clear (&r); -LBL_N1:mp_clear (&n1); - return err; -} -#endif - -/* End: bn_mp_prime_miller_rabin.c */ - -/* Start: bn_mp_prime_next_prime.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_PRIME_NEXT_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* finds the next prime after the number "a" using "t" trials - * of Miller-Rabin. - * - * bbs_style = 1 means the prime must be congruent to 3 mod 4 - */ -int mp_prime_next_prime(mp_int *a, int t, int bbs_style) -{ - int err, res, x, y; - mp_digit res_tab[PRIME_SIZE], step, kstep; - mp_int b; - - /* ensure t is valid */ - if (t <= 0 || t > PRIME_SIZE) { - return MP_VAL; - } - - /* force positive */ - a->sign = MP_ZPOS; - - /* simple algo if a is less than the largest prime in the table */ - if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) { - /* find which prime it is bigger than */ - for (x = PRIME_SIZE - 2; x >= 0; x--) { - if (mp_cmp_d(a, ltm_prime_tab[x]) != MP_LT) { - if (bbs_style == 1) { - /* ok we found a prime smaller or - * equal [so the next is larger] - * - * however, the prime must be - * congruent to 3 mod 4 - */ - if ((ltm_prime_tab[x + 1] & 3) != 3) { - /* scan upwards for a prime congruent to 3 mod 4 */ - for (y = x + 1; y < PRIME_SIZE; y++) { - if ((ltm_prime_tab[y] & 3) == 3) { - mp_set(a, ltm_prime_tab[y]); - return MP_OKAY; - } - } - } - } else { - mp_set(a, ltm_prime_tab[x + 1]); - return MP_OKAY; - } - } - } - /* at this point a maybe 1 */ - if (mp_cmp_d(a, 1) == MP_EQ) { - mp_set(a, 2); - return MP_OKAY; - } - /* fall through to the sieve */ - } - - /* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */ - if (bbs_style == 1) { - kstep = 4; - } else { - kstep = 2; - } - - /* at this point we will use a combination of a sieve and Miller-Rabin */ - - if (bbs_style == 1) { - /* if a mod 4 != 3 subtract the correct value to make it so */ - if ((a->dp[0] & 3) != 3) { - if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { return err; }; - } - } else { - if (mp_iseven(a) == 1) { - /* force odd */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { - return err; - } - } - } - - /* generate the restable */ - for (x = 1; x < PRIME_SIZE; x++) { - if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) { - return err; - } - } - - /* init temp used for Miller-Rabin Testing */ - if ((err = mp_init(&b)) != MP_OKAY) { - return err; - } - - for (;;) { - /* skip to the next non-trivially divisible candidate */ - step = 0; - do { - /* y == 1 if any residue was zero [e.g. cannot be prime] */ - y = 0; - - /* increase step to next candidate */ - step += kstep; - - /* compute the new residue without using division */ - for (x = 1; x < PRIME_SIZE; x++) { - /* add the step to each residue */ - res_tab[x] += kstep; - - /* subtract the modulus [instead of using division] */ - if (res_tab[x] >= ltm_prime_tab[x]) { - res_tab[x] -= ltm_prime_tab[x]; - } - - /* set flag if zero */ - if (res_tab[x] == 0) { - y = 1; - } - } - } while (y == 1 && step < ((((mp_digit)1)<<DIGIT_BIT) - kstep)); - - /* add the step */ - if ((err = mp_add_d(a, step, a)) != MP_OKAY) { - goto LBL_ERR; - } - - /* if didn't pass sieve and step == MAX then skip test */ - if (y == 1 && step >= ((((mp_digit)1)<<DIGIT_BIT) - kstep)) { - continue; - } - - /* is this prime? */ - for (x = 0; x < t; x++) { - mp_set(&b, ltm_prime_tab[t]); - if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { - goto LBL_ERR; - } - if (res == MP_NO) { - break; - } - } - - if (res == MP_YES) { - break; - } - } - - err = MP_OKAY; -LBL_ERR: - mp_clear(&b); - return err; -} - -#endif - -/* End: bn_mp_prime_next_prime.c */ - -/* Start: bn_mp_prime_rabin_miller_trials.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - - -static const struct { - int k, t; -} sizes[] = { -{ 128, 28 }, -{ 256, 16 }, -{ 384, 10 }, -{ 512, 7 }, -{ 640, 6 }, -{ 768, 5 }, -{ 896, 4 }, -{ 1024, 4 } -}; - -/* returns # of RM trials required for a given bit size */ -int mp_prime_rabin_miller_trials(int size) -{ - int x; - - for (x = 0; x < (int)(sizeof(sizes)/(sizeof(sizes[0]))); x++) { - if (sizes[x].k == size) { - return sizes[x].t; - } else if (sizes[x].k > size) { - return (x == 0) ? sizes[0].t : sizes[x - 1].t; - } - } - return sizes[x-1].t + 1; -} - - -#endif - -/* End: bn_mp_prime_rabin_miller_trials.c */ - -/* Start: bn_mp_prime_random_ex.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_PRIME_RANDOM_EX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* makes a truly random prime of a given size (bits), - * - * Flags are as follows: - * - * LTM_PRIME_BBS - make prime congruent to 3 mod 4 - * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero - * LTM_PRIME_2MSB_ON - make the 2nd highest bit one - * - * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can - * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself - * so it can be NULL - * - */ - -/* This is possibly the mother of all prime generation functions, muahahahahaha! */ -int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat) -{ - unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb; - int res, err, bsize, maskOR_msb_offset; - - /* sanity check the input */ - if (size <= 1 || t <= 0) { - return MP_VAL; - } - - /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ - if (flags & LTM_PRIME_SAFE) { - flags |= LTM_PRIME_BBS; - } - - /* calc the byte size */ - bsize = (size>>3) + ((size&7)?1:0); - - /* we need a buffer of bsize bytes */ - tmp = OPT_CAST(unsigned char) XMALLOC(bsize); - if (tmp == NULL) { - return MP_MEM; - } - - /* calc the maskAND value for the MSbyte*/ - maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7))); - - /* calc the maskOR_msb */ - maskOR_msb = 0; - maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; - if (flags & LTM_PRIME_2MSB_ON) { - maskOR_msb |= 0x80 >> ((9 - size) & 7); - } - - /* get the maskOR_lsb */ - maskOR_lsb = 1; - if (flags & LTM_PRIME_BBS) { - maskOR_lsb |= 3; - } - - do { - /* read the bytes */ - if (cb(tmp, bsize, dat) != bsize) { - err = MP_VAL; - goto error; - } - - /* work over the MSbyte */ - tmp[0] &= maskAND; - tmp[0] |= 1 << ((size - 1) & 7); - - /* mix in the maskORs */ - tmp[maskOR_msb_offset] |= maskOR_msb; - tmp[bsize-1] |= maskOR_lsb; - - /* read it in */ - if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) { goto error; } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - if (res == MP_NO) { - continue; - } - - if (flags & LTM_PRIME_SAFE) { - /* see if (a-1)/2 is prime */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } - if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - } - } while (res == MP_NO); - - if (flags & LTM_PRIME_SAFE) { - /* restore a to the original value */ - if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } - if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; } - } - - err = MP_OKAY; -error: - XFREE(tmp); - return err; -} - - -#endif - -/* End: bn_mp_prime_random_ex.c */ - -/* Start: bn_mp_radix_size.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_RADIX_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* returns size of ASCII reprensentation */ -int mp_radix_size (mp_int * a, int radix, int *size) -{ - int res, digs; - mp_int t; - mp_digit d; - - *size = 0; - - /* special case for binary */ - if (radix == 2) { - *size = mp_count_bits (a) + (a->sign == MP_NEG ? 1 : 0) + 1; - return MP_OKAY; - } - - /* make sure the radix is in range */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - if (mp_iszero(a) == MP_YES) { - *size = 2; - return MP_OKAY; - } - - /* digs is the digit count */ - digs = 0; - - /* if it's negative add one for the sign */ - if (a->sign == MP_NEG) { - ++digs; - } - - /* init a copy of the input */ - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* force temp to positive */ - t.sign = MP_ZPOS; - - /* fetch out all of the digits */ - while (mp_iszero (&t) == MP_NO) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - ++digs; - } - mp_clear (&t); - - /* return digs + 1, the 1 is for the NULL byte that would be required. */ - *size = digs + 1; - return MP_OKAY; -} - -#endif - -/* End: bn_mp_radix_size.c */ - -/* Start: bn_mp_radix_smap.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_RADIX_SMAP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* chars used in radix conversions */ -const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; -#endif - -/* End: bn_mp_radix_smap.c */ - -/* Start: bn_mp_rand.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_RAND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* makes a pseudo-random int of a given size */ -int -mp_rand (mp_int * a, int digits) -{ - int res; - mp_digit d; - - mp_zero (a); - if (digits <= 0) { - return MP_OKAY; - } - - /* first place a random non-zero digit */ - do { - d = ((mp_digit) abs (rand ())) & MP_MASK; - } while (d == 0); - - if ((res = mp_add_d (a, d, a)) != MP_OKAY) { - return res; - } - - while (--digits > 0) { - if ((res = mp_lshd (a, 1)) != MP_OKAY) { - return res; - } - - if ((res = mp_add_d (a, ((mp_digit) abs (rand ())), a)) != MP_OKAY) { - return res; - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_rand.c */ - -/* Start: bn_mp_read_radix.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_READ_RADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* read a string [ASCII] in a given radix */ -int mp_read_radix (mp_int * a, const char *str, int radix) -{ - int y, res, neg; - char ch; - - /* make sure the radix is ok */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - /* if the leading digit is a - * minus set the sign to negative. - */ - if (*str == '-') { - ++str; - neg = MP_NEG; - } else { - neg = MP_ZPOS; - } - - /* set the integer to the default of zero */ - mp_zero (a); - - /* process each digit of the string */ - while (*str) { - /* if the radix < 36 the conversion is case insensitive - * this allows numbers like 1AB and 1ab to represent the same value - * [e.g. in hex] - */ - ch = (char) ((radix < 36) ? toupper (*str) : *str); - for (y = 0; y < 64; y++) { - if (ch == mp_s_rmap[y]) { - break; - } - } - - /* if the char was found in the map - * and is less than the given radix add it - * to the number, otherwise exit the loop. - */ - if (y < radix) { - if ((res = mp_mul_d (a, (mp_digit) radix, a)) != MP_OKAY) { - return res; - } - if ((res = mp_add_d (a, (mp_digit) y, a)) != MP_OKAY) { - return res; - } - } else { - break; - } - ++str; - } - - /* set the sign only if a != 0 */ - if (mp_iszero(a) != 1) { - a->sign = neg; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_radix.c */ - -/* Start: bn_mp_read_signed_bin.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_READ_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* read signed bin, big endian, first byte is 0==positive or 1==negative */ -int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) -{ - int res; - - /* read magnitude */ - if ((res = mp_read_unsigned_bin (a, b + 1, c - 1)) != MP_OKAY) { - return res; - } - - /* first byte is 0 for positive, non-zero for negative */ - if (b[0] == 0) { - a->sign = MP_ZPOS; - } else { - a->sign = MP_NEG; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_signed_bin.c */ - -/* Start: bn_mp_read_unsigned_bin.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_READ_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* reads a unsigned char array, assumes the msb is stored first [big endian] */ -int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) -{ - int res; - - /* make sure there are at least two digits */ - if (a->alloc < 2) { - if ((res = mp_grow(a, 2)) != MP_OKAY) { - return res; - } - } - - /* zero the int */ - mp_zero (a); - - /* read the bytes in */ - while (c-- > 0) { - if ((res = mp_mul_2d (a, 8, a)) != MP_OKAY) { - return res; - } - -#ifndef MP_8BIT - a->dp[0] |= *b++; - a->used += 1; -#else - a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7U) & 1); - a->used += 2; -#endif - } - mp_clamp (a); - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_unsigned_bin.c */ - -/* Start: bn_mp_reduce.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* reduces x mod m, assumes 0 < x < m**2, mu is - * precomputed via mp_reduce_setup. - * From HAC pp.604 Algorithm 14.42 - */ -int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) -{ - mp_int q; - int res, um = m->used; - - /* q = x */ - if ((res = mp_init_copy (&q, x)) != MP_OKAY) { - return res; - } - - /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); - - /* according to HAC this optimization is ok */ - if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { - if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) { - goto CLEANUP; - } - } else { -#ifdef BN_S_MP_MUL_HIGH_DIGS_C - if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { - goto CLEANUP; - } -#elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) - if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { - goto CLEANUP; - } -#else - { - res = MP_VAL; - goto CLEANUP; - } -#endif - } - - /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); - - /* x = x mod b**(k+1), quick (no division) */ - if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { - goto CLEANUP; - } - - /* q = q * m mod b**(k+1), quick (no division) */ - if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) { - goto CLEANUP; - } - - /* x = x - q */ - if ((res = mp_sub (x, &q, x)) != MP_OKAY) { - goto CLEANUP; - } - - /* If x < 0, add b**(k+1) to it */ - if (mp_cmp_d (x, 0) == MP_LT) { - mp_set (&q, 1); - if ((res = mp_lshd (&q, um + 1)) != MP_OKAY) - goto CLEANUP; - if ((res = mp_add (x, &q, x)) != MP_OKAY) - goto CLEANUP; - } - - /* Back off if it's too big */ - while (mp_cmp (x, m) != MP_LT) { - if ((res = s_mp_sub (x, m, x)) != MP_OKAY) { - goto CLEANUP; - } - } - -CLEANUP: - mp_clear (&q); - - return res; -} -#endif - -/* End: bn_mp_reduce.c */ - -/* Start: bn_mp_reduce_2k.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_REDUCE_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* reduces a modulo n where n is of the form 2**p - d */ -int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) -{ - mp_int q; - int p, res; - - if ((res = mp_init(&q)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(n); -top: - /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (d != 1) { - /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { - goto ERR; - } - } - - /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); - goto top; - } - -ERR: - mp_clear(&q); - return res; -} - -#endif - -/* End: bn_mp_reduce_2k.c */ - -/* Start: bn_mp_reduce_2k_l.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_REDUCE_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* reduces a modulo n where n is of the form 2**p - d - This differs from reduce_2k since "d" can be larger - than a single digit. -*/ -int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) -{ - mp_int q; - int p, res; - - if ((res = mp_init(&q)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(n); -top: - /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; - } - - /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { - goto ERR; - } - - /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); - goto top; - } - -ERR: - mp_clear(&q); - return res; -} - -#endif - -/* End: bn_mp_reduce_2k_l.c */ - -/* Start: bn_mp_reduce_2k_setup.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_REDUCE_2K_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* determines the setup value */ -int mp_reduce_2k_setup(mp_int *a, mp_digit *d) -{ - int res, p; - mp_int tmp; - - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(a); - if ((res = mp_2expt(&tmp, p)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - *d = tmp.dp[0]; - mp_clear(&tmp); - return MP_OKAY; -} -#endif - -/* End: bn_mp_reduce_2k_setup.c */ - -/* Start: bn_mp_reduce_2k_setup_l.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_REDUCE_2K_SETUP_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* determines the setup value */ -int mp_reduce_2k_setup_l(mp_int *a, mp_int *d) -{ - int res; - mp_int tmp; - - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; - } - - if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { - goto ERR; - } - - if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear(&tmp); - return res; -} -#endif - -/* End: bn_mp_reduce_2k_setup_l.c */ - -/* Start: bn_mp_reduce_is_2k.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_REDUCE_IS_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* determines if mp_reduce_2k can be used */ -int mp_reduce_is_2k(mp_int *a) -{ - int ix, iy, iw; - mp_digit iz; - - if (a->used == 0) { - return MP_NO; - } else if (a->used == 1) { - return MP_YES; - } else if (a->used > 1) { - iy = mp_count_bits(a); - iz = 1; - iw = 1; - - /* Test every bit from the second digit up, must be 1 */ - for (ix = DIGIT_BIT; ix < iy; ix++) { - if ((a->dp[iw] & iz) == 0) { - return MP_NO; - } - iz <<= 1; - if (iz > (mp_digit)MP_MASK) { - ++iw; - iz = 1; - } - } - } - return MP_YES; -} - -#endif - -/* End: bn_mp_reduce_is_2k.c */ - -/* Start: bn_mp_reduce_is_2k_l.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_REDUCE_IS_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* determines if reduce_2k_l can be used */ -int mp_reduce_is_2k_l(mp_int *a) -{ - int ix, iy; - - if (a->used == 0) { - return MP_NO; - } else if (a->used == 1) { - return MP_YES; - } else if (a->used > 1) { - /* if more than half of the digits are -1 we're sold */ - for (iy = ix = 0; ix < a->used; ix++) { - if (a->dp[ix] == MP_MASK) { - ++iy; - } - } - return (iy >= (a->used/2)) ? MP_YES : MP_NO; - - } - return MP_NO; -} - -#endif - -/* End: bn_mp_reduce_is_2k_l.c */ - -/* Start: bn_mp_reduce_setup.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_REDUCE_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* pre-calculate the value required for Barrett reduction - * For a given modulus "b" it calulates the value required in "a" - */ -int mp_reduce_setup (mp_int * a, mp_int * b) -{ - int res; - - if ((res = mp_2expt (a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) { - return res; - } - return mp_div (a, b, a, NULL); -} -#endif - -/* End: bn_mp_reduce_setup.c */ - -/* Start: bn_mp_rshd.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_RSHD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* shift right a certain amount of digits */ -void mp_rshd (mp_int * a, int b) -{ - int x; - - /* if b <= 0 then ignore it */ - if (b <= 0) { - return; - } - - /* if b > used then simply zero it and return */ - if (a->used <= b) { - mp_zero (a); - return; - } - - { - register mp_digit *bottom, *top; - - /* shift the digits down */ - - /* bottom */ - bottom = a->dp; - - /* top [offset into digits] */ - top = a->dp + b; - - /* this is implemented as a sliding window where - * the window is b-digits long and digits from - * the top of the window are copied to the bottom - * - * e.g. - - b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> - /\ | ----> - \-------------------/ ----> - */ - for (x = 0; x < (a->used - b); x++) { - *bottom++ = *top++; - } - - /* zero the top digits */ - for (; x < a->used; x++) { - *bottom++ = 0; - } - } - - /* remove excess digits */ - a->used -= b; -} -#endif - -/* End: bn_mp_rshd.c */ - -/* Start: bn_mp_set.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_SET_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* set to a digit */ -void mp_set (mp_int * a, mp_digit b) -{ - mp_zero (a); - a->dp[0] = b & MP_MASK; - a->used = (a->dp[0] != 0) ? 1 : 0; -} -#endif - -/* End: bn_mp_set.c */ - -/* Start: bn_mp_set_int.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_SET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* set a 32-bit const */ -int mp_set_int (mp_int * a, unsigned long b) -{ - int x, res; - - mp_zero (a); - - /* set four bits at a time */ - for (x = 0; x < 8; x++) { - /* shift the number up four bits */ - if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { - return res; - } - - /* OR in the top four bits of the source */ - a->dp[0] |= (b >> 28) & 15; - - /* shift the source up to the next four bits */ - b <<= 4; - - /* ensure that digits are not clamped off */ - a->used += 1; - } - mp_clamp (a); - return MP_OKAY; -} -#endif - -/* End: bn_mp_set_int.c */ - -/* Start: bn_mp_shrink.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_SHRINK_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* shrink a bignum */ -int mp_shrink (mp_int * a) -{ - mp_digit *tmp; - if (a->alloc != a->used && a->used > 0) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * a->used)) == NULL) { - return MP_MEM; - } - a->dp = tmp; - a->alloc = a->used; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_shrink.c */ - -/* Start: bn_mp_signed_bin_size.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_SIGNED_BIN_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* get the size for an signed equivalent */ -int mp_signed_bin_size (mp_int * a) -{ - return 1 + mp_unsigned_bin_size (a); -} -#endif - -/* End: bn_mp_signed_bin_size.c */ - -/* Start: bn_mp_sqr.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* computes b = a*a */ -int -mp_sqr (mp_int * a, mp_int * b) -{ - int res; - -#ifdef BN_MP_TOOM_SQR_C - /* use Toom-Cook? */ - if (a->used >= TOOM_SQR_CUTOFF) { - res = mp_toom_sqr(a, b); - /* Karatsuba? */ - } else -#endif -#ifdef BN_MP_KARATSUBA_SQR_C -if (a->used >= KARATSUBA_SQR_CUTOFF) { - res = mp_karatsuba_sqr (a, b); - } else -#endif - { -#ifdef BN_FAST_S_MP_SQR_C - /* can we use the fast comba multiplier? */ - if ((a->used * 2 + 1) < MP_WARRAY && - a->used < - (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { - res = fast_s_mp_sqr (a, b); - } else -#endif -#ifdef BN_S_MP_SQR_C - res = s_mp_sqr (a, b); -#else - res = MP_VAL; -#endif - } - b->sign = MP_ZPOS; - return res; -} -#endif - -/* End: bn_mp_sqr.c */ - -/* Start: bn_mp_sqrmod.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_SQRMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* c = a * a (mod b) */ -int -mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_sqr (a, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, b, c); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_sqrmod.c */ - -/* Start: bn_mp_sqrt.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_SQRT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* this function is less generic than mp_n_root, simpler and faster */ -int mp_sqrt(mp_int *arg, mp_int *ret) -{ - int res; - mp_int t1,t2; - - /* must be positive */ - if (arg->sign == MP_NEG) { - return MP_VAL; - } - - /* easy out */ - if (mp_iszero(arg) == MP_YES) { - mp_zero(ret); - return MP_OKAY; - } - - if ((res = mp_init_copy(&t1, arg)) != MP_OKAY) { - return res; - } - - if ((res = mp_init(&t2)) != MP_OKAY) { - goto E2; - } - - /* First approx. (not very bad for large arg) */ - mp_rshd (&t1,t1.used/2); - - /* t1 > 0 */ - if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { - goto E1; - } - if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { - goto E1; - } - if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { - goto E1; - } - /* And now t1 > sqrt(arg) */ - do { - if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { - goto E1; - } - if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { - goto E1; - } - if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { - goto E1; - } - /* t1 >= sqrt(arg) >= t2 at this point */ - } while (mp_cmp_mag(&t1,&t2) == MP_GT); - - mp_exch(&t1,ret); - -E1: mp_clear(&t2); -E2: mp_clear(&t1); - return res; -} - -#endif - -/* End: bn_mp_sqrt.c */ - -/* Start: bn_mp_sub.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_SUB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* high level subtraction (handles signs) */ -int -mp_sub (mp_int * a, mp_int * b, mp_int * c) -{ - int sa, sb, res; - - sa = a->sign; - sb = b->sign; - - if (sa != sb) { - /* subtract a negative from a positive, OR */ - /* subtract a positive from a negative. */ - /* In either case, ADD their magnitudes, */ - /* and use the sign of the first number. */ - c->sign = sa; - res = s_mp_add (a, b, c); - } else { - /* subtract a positive from a positive, OR */ - /* subtract a negative from a negative. */ - /* First, take the difference between their */ - /* magnitudes, then... */ - if (mp_cmp_mag (a, b) != MP_LT) { - /* Copy the sign from the first */ - c->sign = sa; - /* The first has a larger or equal magnitude */ - res = s_mp_sub (a, b, c); - } else { - /* The result has the *opposite* sign from */ - /* the first number. */ - c->sign = (sa == MP_ZPOS) ? MP_NEG : MP_ZPOS; - /* The second has a larger magnitude */ - res = s_mp_sub (b, a, c); - } - } - return res; -} - -#endif - -/* End: bn_mp_sub.c */ - -/* Start: bn_mp_sub_d.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_SUB_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* single digit subtraction */ -int -mp_sub_d (mp_int * a, mp_digit b, mp_int * c) -{ - mp_digit *tmpa, *tmpc, mu; - int res, ix, oldused; - - /* grow c as required */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* if a is negative just do an unsigned - * addition [with fudged signs] - */ - if (a->sign == MP_NEG) { - a->sign = MP_ZPOS; - res = mp_add_d(a, b, c); - a->sign = c->sign = MP_NEG; - return res; - } - - /* setup regs */ - oldused = c->used; - tmpa = a->dp; - tmpc = c->dp; - - /* if a <= b simply fix the single digit */ - if ((a->used == 1 && a->dp[0] <= b) || a->used == 0) { - if (a->used == 1) { - *tmpc++ = b - *tmpa; - } else { - *tmpc++ = b; - } - ix = 1; - - /* negative/1digit */ - c->sign = MP_NEG; - c->used = 1; - } else { - /* positive/size */ - c->sign = MP_ZPOS; - c->used = a->used; - - /* subtract first digit */ - *tmpc = *tmpa++ - b; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); - *tmpc++ &= MP_MASK; - - /* handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { - *tmpc = *tmpa++ - mu; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); - *tmpc++ &= MP_MASK; - } - } - - /* zero excess digits */ - while (ix++ < oldused) { - *tmpc++ = 0; - } - mp_clamp(c); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_sub_d.c */ - -/* Start: bn_mp_submod.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_SUBMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* d = a - b (mod c) */ -int -mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_sub (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_submod.c */ - -/* Start: bn_mp_to_signed_bin.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_TO_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin (mp_int * a, unsigned char *b) -{ - int res; - - if ((res = mp_to_unsigned_bin (a, b + 1)) != MP_OKAY) { - return res; - } - b[0] = (unsigned char) ((a->sign == MP_ZPOS) ? 0 : 1); - return MP_OKAY; -} -#endif - -/* End: bn_mp_to_signed_bin.c */ - -/* Start: bn_mp_to_signed_bin_n.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_TO_SIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_signed_bin_size(a)) { - return MP_VAL; - } - *outlen = mp_signed_bin_size(a); - return mp_to_signed_bin(a, b); -} -#endif - -/* End: bn_mp_to_signed_bin_n.c */ - -/* Start: bn_mp_to_unsigned_bin.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_TO_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin (mp_int * a, unsigned char *b) -{ - int x, res; - mp_int t; - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - x = 0; - while (mp_iszero (&t) == 0) { -#ifndef MP_8BIT - b[x++] = (unsigned char) (t.dp[0] & 255); -#else - b[x++] = (unsigned char) (t.dp[0] | ((t.dp[1] & 0x01) << 7)); -#endif - if ((res = mp_div_2d (&t, 8, &t, NULL)) != MP_OKAY) { - mp_clear (&t); - return res; - } - } - bn_reverse (b, x); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_to_unsigned_bin.c */ - -/* Start: bn_mp_to_unsigned_bin_n.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_TO_UNSIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_unsigned_bin_size(a)) { - return MP_VAL; - } - *outlen = mp_unsigned_bin_size(a); - return mp_to_unsigned_bin(a, b); -} -#endif - -/* End: bn_mp_to_unsigned_bin_n.c */ - -/* Start: bn_mp_toom_mul.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_TOOM_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* multiplication using the Toom-Cook 3-way algorithm - * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs - * (we're talking 1000s of digits here...). -*/ -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = MIN(a->used, b->used) / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a2, B*2); - - /* b = b2 * B**2 + b1 * B + b0 */ - if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(b, &b1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&b1, B); - mp_mod_2d(&b1, DIGIT_BIT * B, &b1); - - if ((res = mp_copy(b, &b2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&b2, B*2); - - /* w0 = a0*b0 */ - if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { - goto ERR; - } - - /* w4 = a2 * b2 */ - if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { - goto ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { - goto ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { - goto ERR; - } - - - /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&b2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { - goto ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL); - return res; -} - -#endif - -/* End: bn_mp_toom_mul.c */ - -/* Start: bn_mp_toom_sqr.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_TOOM_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* squaring using Toom-Cook 3-way algorithm */ -int -mp_toom_sqr(mp_int *a, mp_int *b) -{ - mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = a->used / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a2, B*2); - - /* w0 = a0*a0 */ - if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) { - goto ERR; - } - - /* w4 = a2 * a2 */ - if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) { - goto ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))**2 */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))**2 */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - - - /* w2 = (a2 + a1 + a0)**2 */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) { - goto ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); - return res; -} - -#endif - -/* End: bn_mp_toom_sqr.c */ - -/* Start: bn_mp_toradix.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_TORADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) */ -int mp_toradix (mp_int * a, char *str, int radix) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the radix */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == 1) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - ++_s; - *str++ = '-'; - t.sign = MP_ZPOS; - } - - digs = 0; - while (mp_iszero (&t) == 0) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number] - */ - bn_reverse ((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear (&t); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_toradix.c */ - -/* Start: bn_mp_toradix_n.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_TORADIX_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) - * - * Stores upto maxlen-1 chars and always a NULL byte - */ -int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the maxlen, radix */ - if (maxlen < 3 || radix < 2 || radix > 64) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == 1) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - /* we have to reverse our digits later... but not the - sign!! */ - ++_s; - - /* store the flag and mark the number as positive */ - *str++ = '-'; - t.sign = MP_ZPOS; - - /* subtract a char */ - --maxlen; - } - - digs = 0; - while (mp_iszero (&t) == 0) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - - if (--maxlen == 1) { - /* no more room */ - break; - } - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number] - */ - bn_reverse ((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear (&t); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_toradix_n.c */ - -/* Start: bn_mp_unsigned_bin_size.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_UNSIGNED_BIN_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* get the size for an unsigned equivalent */ -int mp_unsigned_bin_size (mp_int * a) -{ - int size = mp_count_bits (a); - return (size / 8 + ((size & 7) != 0 ? 1 : 0)); -} -#endif - -/* End: bn_mp_unsigned_bin_size.c */ - -/* Start: bn_mp_xor.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_XOR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* XOR two ints together */ -int -mp_xor (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] ^= x->dp[ix]; - } - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_xor.c */ - -/* Start: bn_mp_zero.c */ -#include <ltc_tommath.h> -#ifdef BN_MP_ZERO_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* set to zero */ -void mp_zero (mp_int * a) -{ - int n; - mp_digit *tmp; - - a->sign = MP_ZPOS; - a->used = 0; - - tmp = a->dp; - for (n = 0; n < a->alloc; n++) { - *tmp++ = 0; - } -} -#endif - -/* End: bn_mp_zero.c */ - -/* Start: bn_prime_tab.c */ -#include <ltc_tommath.h> -#ifdef BN_PRIME_TAB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ -const mp_digit ltm_prime_tab[] = { - 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, - 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, - 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059, - 0x0061, 0x0065, 0x0067, 0x006B, 0x006D, 0x0071, 0x007F, -#ifndef MP_8BIT - 0x0083, - 0x0089, 0x008B, 0x0095, 0x0097, 0x009D, 0x00A3, 0x00A7, 0x00AD, - 0x00B3, 0x00B5, 0x00BF, 0x00C1, 0x00C5, 0x00C7, 0x00D3, 0x00DF, - 0x00E3, 0x00E5, 0x00E9, 0x00EF, 0x00F1, 0x00FB, 0x0101, 0x0107, - 0x010D, 0x010F, 0x0115, 0x0119, 0x011B, 0x0125, 0x0133, 0x0137, - - 0x0139, 0x013D, 0x014B, 0x0151, 0x015B, 0x015D, 0x0161, 0x0167, - 0x016F, 0x0175, 0x017B, 0x017F, 0x0185, 0x018D, 0x0191, 0x0199, - 0x01A3, 0x01A5, 0x01AF, 0x01B1, 0x01B7, 0x01BB, 0x01C1, 0x01C9, - 0x01CD, 0x01CF, 0x01D3, 0x01DF, 0x01E7, 0x01EB, 0x01F3, 0x01F7, - 0x01FD, 0x0209, 0x020B, 0x021D, 0x0223, 0x022D, 0x0233, 0x0239, - 0x023B, 0x0241, 0x024B, 0x0251, 0x0257, 0x0259, 0x025F, 0x0265, - 0x0269, 0x026B, 0x0277, 0x0281, 0x0283, 0x0287, 0x028D, 0x0293, - 0x0295, 0x02A1, 0x02A5, 0x02AB, 0x02B3, 0x02BD, 0x02C5, 0x02CF, - - 0x02D7, 0x02DD, 0x02E3, 0x02E7, 0x02EF, 0x02F5, 0x02F9, 0x0301, - 0x0305, 0x0313, 0x031D, 0x0329, 0x032B, 0x0335, 0x0337, 0x033B, - 0x033D, 0x0347, 0x0355, 0x0359, 0x035B, 0x035F, 0x036D, 0x0371, - 0x0373, 0x0377, 0x038B, 0x038F, 0x0397, 0x03A1, 0x03A9, 0x03AD, - 0x03B3, 0x03B9, 0x03C7, 0x03CB, 0x03D1, 0x03D7, 0x03DF, 0x03E5, - 0x03F1, 0x03F5, 0x03FB, 0x03FD, 0x0407, 0x0409, 0x040F, 0x0419, - 0x041B, 0x0425, 0x0427, 0x042D, 0x043F, 0x0443, 0x0445, 0x0449, - 0x044F, 0x0455, 0x045D, 0x0463, 0x0469, 0x047F, 0x0481, 0x048B, - - 0x0493, 0x049D, 0x04A3, 0x04A9, 0x04B1, 0x04BD, 0x04C1, 0x04C7, - 0x04CD, 0x04CF, 0x04D5, 0x04E1, 0x04EB, 0x04FD, 0x04FF, 0x0503, - 0x0509, 0x050B, 0x0511, 0x0515, 0x0517, 0x051B, 0x0527, 0x0529, - 0x052F, 0x0551, 0x0557, 0x055D, 0x0565, 0x0577, 0x0581, 0x058F, - 0x0593, 0x0595, 0x0599, 0x059F, 0x05A7, 0x05AB, 0x05AD, 0x05B3, - 0x05BF, 0x05C9, 0x05CB, 0x05CF, 0x05D1, 0x05D5, 0x05DB, 0x05E7, - 0x05F3, 0x05FB, 0x0607, 0x060D, 0x0611, 0x0617, 0x061F, 0x0623, - 0x062B, 0x062F, 0x063D, 0x0641, 0x0647, 0x0649, 0x064D, 0x0653 -#endif -}; -#endif - -/* End: bn_prime_tab.c */ - -/* Start: bn_reverse.c */ -#include <ltc_tommath.h> -#ifdef BN_REVERSE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* reverse an array, used for radix code */ -void -bn_reverse (unsigned char *s, int len) -{ - int ix, iy; - unsigned char t; - - ix = 0; - iy = len - 1; - while (ix < iy) { - t = s[ix]; - s[ix] = s[iy]; - s[iy] = t; - ++ix; - --iy; - } -} -#endif - -/* End: bn_reverse.c */ - -/* Start: bn_s_mp_add.c */ -#include <ltc_tommath.h> -#ifdef BN_S_MP_ADD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* low level addition, based on HAC pp.594, Algorithm 14.7 */ -int -s_mp_add (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int *x; - int olduse, res, min, max; - - /* find sizes, we let |a| <= |b| which means we have to sort - * them. "x" will point to the input with the most digits - */ - if (a->used > b->used) { - min = b->used; - max = a->used; - x = a; - } else { - min = a->used; - max = b->used; - x = b; - } - - /* init result */ - if (c->alloc < max + 1) { - if ((res = mp_grow (c, max + 1)) != MP_OKAY) { - return res; - } - } - - /* get old used digit count and set new one */ - olduse = c->used; - c->used = max + 1; - - { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; - - /* alias for digit pointers */ - - /* first input */ - tmpa = a->dp; - - /* second input */ - tmpb = b->dp; - - /* destination */ - tmpc = c->dp; - - /* zero the carry */ - u = 0; - for (i = 0; i < min; i++) { - /* Compute the sum at one digit, T[i] = A[i] + B[i] + U */ - *tmpc = *tmpa++ + *tmpb++ + u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); - - /* take away carry bit from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* now copy higher words if any, that is in A+B - * if A or B has more digits add those in - */ - if (min != max) { - for (; i < max; i++) { - /* T[i] = X[i] + U */ - *tmpc = x->dp[i] + u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); - - /* take away carry bit from T[i] */ - *tmpc++ &= MP_MASK; - } - } - - /* add carry */ - *tmpc++ = u; - - /* clear digits above oldused */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } - } - - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_add.c */ - -/* Start: bn_s_mp_exptmod.c */ -#include <ltc_tommath.h> -#ifdef BN_S_MP_EXPTMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -#ifdef MP_LOW_MEM - #define TAB_SIZE 32 -#else - #define TAB_SIZE 256 -#endif - -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) -{ - mp_int M[TAB_SIZE], res, mu; - mp_digit buf; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - int (*redux)(mp_int*,mp_int*,mp_int*); - - /* find window size */ - x = mp_count_bits (X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init(&M[x])) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear (&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* create mu, used for Barrett reduction */ - if ((err = mp_init (&mu)) != MP_OKAY) { - goto LBL_M; - } - - if (redmode == 0) { - if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { - goto LBL_MU; - } - redux = mp_reduce; - } else { - if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - redux = mp_reduce_2k_l; - } - - /* create M table - * - * The M table contains powers of the base, - * e.g. M[x] = G**x mod P - * - * The first half of the table is not - * computed though accept for M[0] and M[1] - */ - if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) { - goto LBL_MU; - } - - /* compute the value at M[1<<(winsize-1)] by squaring - * M[1] (winsize-1) times - */ - if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } - - for (x = 0; x < (winsize - 1); x++) { - /* square it */ - if ((err = mp_sqr (&M[1 << (winsize - 1)], - &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } - - /* reduce modulo P */ - if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) - * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) - */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_MU; - } - if ((err = redux (&M[x], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* setup result */ - if ((err = mp_init (&res)) != MP_OKAY) { - goto LBL_MU; - } - mp_set (&res, 1); - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits */ - if (digidx == -1) { - break; - } - /* read next digit and reset the bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int) DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if (mode == 0 && y == 0) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - mp_exch (&res, Y); - err = MP_OKAY; -LBL_RES:mp_clear (&res); -LBL_MU:mp_clear (&mu); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear (&M[x]); - } - return err; -} -#endif - -/* End: bn_s_mp_exptmod.c */ - -/* Start: bn_s_mp_mul_digs.c */ -#include <ltc_tommath.h> -#ifdef BN_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* multiplies |a| * |b| and only computes upto digs digits of result - * HAC pp. 595, Algorithm 14.12 Modified so you can control how - * many digits of output are created. - */ -int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - mp_int t; - int res, pa, pb, ix, iy; - mp_digit u; - mp_word r; - mp_digit tmpx, *tmpt, *tmpy; - - /* can we use the fast multiplier? */ - if (((digs) < MP_WARRAY) && - MIN (a->used, b->used) < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_s_mp_mul_digs (a, b, c, digs); - } - - if ((res = mp_init_size (&t, digs)) != MP_OKAY) { - return res; - } - t.used = digs; - - /* compute the digits of the product directly */ - pa = a->used; - for (ix = 0; ix < pa; ix++) { - /* set the carry to zero */ - u = 0; - - /* limit ourselves to making digs digits of output */ - pb = MIN (b->used, digs - ix); - - /* setup some aliases */ - /* copy of the digit from a used within the nested loop */ - tmpx = a->dp[ix]; - - /* an alias for the destination shifted ix places */ - tmpt = t.dp + ix; - - /* an alias for the digits of b */ - tmpy = b->dp; - - /* compute the columns of the output and propagate the carry */ - for (iy = 0; iy < pb; iy++) { - /* compute the column as a mp_word */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); - - /* the new column is the lower part of the result */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get the carry word from the result */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - /* set carry if it is placed below digs */ - if (ix + iy < digs) { - *tmpt = u; - } - } - - mp_clamp (&t); - mp_exch (&t, c); - - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_mul_digs.c */ - -/* Start: bn_s_mp_mul_high_digs.c */ -#include <ltc_tommath.h> -#ifdef BN_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* multiplies |a| * |b| and does not compute the lower digs digits - * [meant to get the higher part of the product] - */ -int -s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - mp_int t; - int res, pa, pb, ix, iy; - mp_digit u; - mp_word r; - mp_digit tmpx, *tmpt, *tmpy; - - /* can we use the fast multiplier? */ -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C - if (((a->used + b->used + 1) < MP_WARRAY) - && MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_s_mp_mul_high_digs (a, b, c, digs); - } -#endif - - if ((res = mp_init_size (&t, a->used + b->used + 1)) != MP_OKAY) { - return res; - } - t.used = a->used + b->used + 1; - - pa = a->used; - pb = b->used; - for (ix = 0; ix < pa; ix++) { - /* clear the carry */ - u = 0; - - /* left hand side of A[ix] * B[iy] */ - tmpx = a->dp[ix]; - - /* alias to the address of where the digits will be stored */ - tmpt = &(t.dp[digs]); - - /* alias for where to read the right hand side from */ - tmpy = b->dp + (digs - ix); - - for (iy = digs - ix; iy < pb; iy++) { - /* calculate the double precision result */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); - - /* get the lower part */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* carry the carry */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - *tmpt = u; - } - mp_clamp (&t); - mp_exch (&t, c); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_mul_high_digs.c */ - -/* Start: bn_s_mp_sqr.c */ -#include <ltc_tommath.h> -#ifdef BN_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ -int s_mp_sqr (mp_int * a, mp_int * b) -{ - mp_int t; - int res, ix, iy, pa; - mp_word r; - mp_digit u, tmpx, *tmpt; - - pa = a->used; - if ((res = mp_init_size (&t, 2*pa + 1)) != MP_OKAY) { - return res; - } - - /* default used is maximum possible size */ - t.used = 2*pa + 1; - - for (ix = 0; ix < pa; ix++) { - /* first calculate the digit at 2*ix */ - /* calculate double precision result */ - r = ((mp_word) t.dp[2*ix]) + - ((mp_word)a->dp[ix])*((mp_word)a->dp[ix]); - - /* store lower part in result */ - t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get the carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - - /* left hand side of A[ix] * A[iy] */ - tmpx = a->dp[ix]; - - /* alias for where to store the results */ - tmpt = t.dp + (2*ix + 1); - - for (iy = ix + 1; iy < pa; iy++) { - /* first calculate the product */ - r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); - - /* now calculate the double precision result, note we use - * addition instead of *2 since it's easier to optimize - */ - r = ((mp_word) *tmpt) + r + r + ((mp_word) u); - - /* store lower part */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - } - /* propagate upwards */ - while (u != ((mp_digit) 0)) { - r = ((mp_word) *tmpt) + ((mp_word) u); - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - } - } - - mp_clamp (&t); - mp_exch (&t, b); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_sqr.c */ - -/* Start: bn_s_mp_sub.c */ -#include <ltc_tommath.h> -#ifdef BN_S_MP_SUB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ -int -s_mp_sub (mp_int * a, mp_int * b, mp_int * c) -{ - int olduse, res, min, max; - - /* find sizes */ - min = b->used; - max = a->used; - - /* init result */ - if (c->alloc < max) { - if ((res = mp_grow (c, max)) != MP_OKAY) { - return res; - } - } - olduse = c->used; - c->used = max; - - { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; - - /* alias for digit pointers */ - tmpa = a->dp; - tmpb = b->dp; - tmpc = c->dp; - - /* set carry to zero */ - u = 0; - for (i = 0; i < min; i++) { - /* T[i] = A[i] - B[i] - U */ - *tmpc = *tmpa++ - *tmpb++ - u; - - /* U = carry bit of T[i] - * Note this saves performing an AND operation since - * if a carry does occur it will propagate all the way to the - * MSB. As a result a single shift is enough to get the carry - */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); - - /* Clear carry from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* now copy higher words if any, e.g. if A has more digits than B */ - for (; i < max; i++) { - /* T[i] = A[i] - U */ - *tmpc = *tmpa++ - u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); - - /* Clear carry from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* clear digits above used (since we may not have grown result above) */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } - } - - mp_clamp (c); - return MP_OKAY; -} - -#endif - -/* End: bn_s_mp_sub.c */ - -/* Start: bncore.c */ -#include <ltc_tommath.h> -#ifdef BNCORE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, [email protected], http://math.libtomcrypt.org - */ - -/* Known optimal configurations - - CPU /Compiler /MUL CUTOFF/SQR CUTOFF -------------------------------------------------------------- - Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) - AMD Athlon64 /GCC v3.4.4 / 74/ 124/LTM 0.34 - -*/ - -int KARATSUBA_MUL_CUTOFF = 74, /* Min. number of digits before Karatsuba multiplication is used. */ - KARATSUBA_SQR_CUTOFF = 124, /* Min. number of digits before Karatsuba squaring is used. */ - - TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ - TOOM_SQR_CUTOFF = 400; -#endif - -/* End: bncore.c */ - - -/* EOF */
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/strings.c Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,86 @@ +/* LibTomCrypt, modular cryptographic library -- Tom St Denis + * + * LibTomCrypt is a library that provides various cryptographic + * algorithms in a highly modular and flexible manner. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, [email protected], http://libtomcrypt.org + */ + +/* Future releases will make use of this */ +#include "mycrypt.h" + +static const char *err_2_str[] = +{ + "CRYPT_OK", + "CRYPT_ERROR", + "Non-fatal 'no-operation' requested.", + + "Invalid keysize for block cipher.", + "Invalid number of rounds for block cipher.", + "Algorithm failed test vectors.", + + "Buffer overflow.", + "Invalid input packet.", + + "Invalid number of bits for a PRNG.", + "Error reading the PRNG.", + + "Invalid cipher specified.", + "Invalid hash specified.", + "Invalid PRNG specified.", + + "Out of memory.", + + "Invalid PK key or key type specified for function.", + "A private PK key is required.", + + "Invalid argument provided.", + "File Not Found", + + "Invalid PK type.", + "Invalid PK system.", + "Duplicate PK key found on keyring.", + "Key not found in keyring.", + "Invalid sized parameter.", + + "Invalid size for prime.", + +}; + +#ifdef MPI +static const struct { + int mpi_code, ltc_code; +} mpi_to_ltc_codes[] = { + { MP_OKAY , CRYPT_OK}, + { MP_MEM , CRYPT_MEM}, + { MP_VAL , CRYPT_INVALID_ARG}, +}; +#endif + +const char *error_to_string(int err) +{ + if (err < 0 || err >= (int)(sizeof(err_2_str)/sizeof(err_2_str[0]))) { + return "Invalid error code."; + } else { + return err_2_str[err]; + } +} + +#ifdef MPI +/* convert a MPI error to a LTC error (Possibly the most powerful function ever! Oh wait... no) */ +int mpi_to_ltc_error(int err) +{ + int x; + + for (x = 0; x < (int)(sizeof(mpi_to_ltc_codes)/sizeof(mpi_to_ltc_codes[0])); x++) { + if (err == mpi_to_ltc_codes[x].mpi_code) { + return mpi_to_ltc_codes[x].ltc_code; + } + } + return CRYPT_ERROR; +} +#endif +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tommath.h Sun May 08 06:36:47 2005 +0000 @@ -0,0 +1,558 @@ +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, [email protected], http://math.libtomcrypt.org + */ +#ifndef BN_H_ +#define BN_H_ + +#include <stdio.h> +#include <string.h> +#include <stdlib.h> +#include <ctype.h> +#include <limits.h> + +#define NO_LTM_TOOM 1 + +#undef MIN +#define MIN(x,y) ((x)<(y)?(x):(y)) +#undef MAX +#define MAX(x,y) ((x)>(y)?(x):(y)) + +#ifdef __cplusplus +extern "C" { + +/* C++ compilers don't like assigning void * to mp_digit * */ +#define OPT_CAST(x) (x *) + +#else + +/* C on the other hand doesn't care */ +#define OPT_CAST(x) + +#endif + +/* some default configurations. + * + * A "mp_digit" must be able to hold DIGIT_BIT + 1 bits + * A "mp_word" must be able to hold 2*DIGIT_BIT + 1 bits + * + * At the very least a mp_digit must be able to hold 7 bits + * [any size beyond that is ok provided it doesn't overflow the data type] + */ +#ifdef MP_8BIT + typedef unsigned char mp_digit; + typedef unsigned short mp_word; +#elif defined(MP_16BIT) + typedef unsigned short mp_digit; + typedef unsigned long mp_word; +#elif defined(MP_64BIT) + /* for GCC only on supported platforms */ +#ifndef CRYPT + typedef unsigned long long ulong64; + typedef signed long long long64; +#endif + + typedef ulong64 mp_digit; + typedef unsigned long mp_word __attribute__ ((mode(TI))); + + #define DIGIT_BIT 60 +#else + /* this is the default case, 28-bit digits */ + + /* this is to make porting into LibTomCrypt easier :-) */ +#ifndef CRYPT + #if defined(_MSC_VER) || defined(__BORLANDC__) + typedef unsigned __int64 ulong64; + typedef signed __int64 long64; + #else + typedef unsigned long long ulong64; + typedef signed long long long64; + #endif +#endif + + typedef unsigned long mp_digit; + typedef ulong64 mp_word; + +#ifdef MP_31BIT + /* this is an extension that uses 31-bit digits */ + #define DIGIT_BIT 31 +#else + /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ + #define DIGIT_BIT 28 + #define MP_28BIT +#endif +#endif + +/* define heap macros */ +#ifndef CRYPT + /* default to libc stuff */ + #ifndef XMALLOC + #define XMALLOC malloc + #define XFREE free + #define XREALLOC realloc + #define XCALLOC calloc + #else + /* prototypes for our heap functions */ + extern void *XMALLOC(size_t n); + extern void *REALLOC(void *p, size_t n); + extern void *XCALLOC(size_t n, size_t s); + extern void XFREE(void *p); + #endif +#endif + + +/* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ +#ifndef DIGIT_BIT + #define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */ +#endif + +#define MP_DIGIT_BIT DIGIT_BIT +#define MP_MASK ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1)) +#define MP_DIGIT_MAX MP_MASK + +/* equalities */ +#define MP_LT -1 /* less than */ +#define MP_EQ 0 /* equal to */ +#define MP_GT 1 /* greater than */ + +#define MP_ZPOS 0 /* positive integer */ +#define MP_NEG 1 /* negative */ + +#define MP_OKAY 0 /* ok result */ +#define MP_MEM -2 /* out of mem */ +#define MP_VAL -3 /* invalid input */ +#define MP_RANGE MP_VAL + +#define MP_YES 1 /* yes response */ +#define MP_NO 0 /* no response */ + +/* Primality generation flags */ +#define LTM_PRIME_BBS 0x0001 /* BBS style prime */ +#define LTM_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */ +#define LTM_PRIME_2MSB_OFF 0x0004 /* force 2nd MSB to 0 */ +#define LTM_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */ + +typedef int mp_err; + +/* you'll have to tune these... */ +extern int KARATSUBA_MUL_CUTOFF, + KARATSUBA_SQR_CUTOFF, + TOOM_MUL_CUTOFF, + TOOM_SQR_CUTOFF; + +/* define this to use lower memory usage routines (exptmods mostly) */ +/* #define MP_LOW_MEM */ + +/* default precision */ +#ifndef MP_PREC + #ifdef MP_LOW_MEM + #define MP_PREC 64 /* default digits of precision */ + #else + #define MP_PREC 8 /* default digits of precision */ + #endif +#endif + +/* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ +#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) + +/* the infamous mp_int structure */ +typedef struct { + int used, alloc, sign; + mp_digit *dp; +} mp_int; + +/* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */ +typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); + + +#define USED(m) ((m)->used) +#define DIGIT(m,k) ((m)->dp[(k)]) +#define SIGN(m) ((m)->sign) + +/* error code to char* string */ +char *mp_error_to_string(int code); + +/* ---> init and deinit bignum functions <--- */ +/* init a bignum */ +int mp_init(mp_int *a); + +/* free a bignum */ +void mp_clear(mp_int *a); + +/* init a null terminated series of arguments */ +int mp_init_multi(mp_int *mp, ...); + +/* clear a null terminated series of arguments */ +void mp_clear_multi(mp_int *mp, ...); + +/* exchange two ints */ +void mp_exch(mp_int *a, mp_int *b); + +/* shrink ram required for a bignum */ +int mp_shrink(mp_int *a); + +/* grow an int to a given size */ +int mp_grow(mp_int *a, int size); + +/* init to a given number of digits */ +int mp_init_size(mp_int *a, int size); + +/* ---> Basic Manipulations <--- */ +#define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) +#define mp_iseven(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) +#define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) + +/* set to zero */ +void mp_zero(mp_int *a); + +/* set to a digit */ +void mp_set(mp_int *a, mp_digit b); + +/* set a 32-bit const */ +int mp_set_int(mp_int *a, unsigned long b); + +/* get a 32-bit value */ +unsigned long mp_get_int(mp_int * a); + +/* initialize and set a digit */ +int mp_init_set (mp_int * a, mp_digit b); + +/* initialize and set 32-bit value */ +int mp_init_set_int (mp_int * a, unsigned long b); + +/* copy, b = a */ +int mp_copy(mp_int *a, mp_int *b); + +/* inits and copies, a = b */ +int mp_init_copy(mp_int *a, mp_int *b); + +/* trim unused digits */ +void mp_clamp(mp_int *a); + +/* ---> digit manipulation <--- */ + +/* right shift by "b" digits */ +void mp_rshd(mp_int *a, int b); + +/* left shift by "b" digits */ +int mp_lshd(mp_int *a, int b); + +/* c = a / 2**b */ +int mp_div_2d(mp_int *a, int b, mp_int *c, mp_int *d); + +/* b = a/2 */ +int mp_div_2(mp_int *a, mp_int *b); + +/* c = a * 2**b */ +int mp_mul_2d(mp_int *a, int b, mp_int *c); + +/* b = a*2 */ +int mp_mul_2(mp_int *a, mp_int *b); + +/* c = a mod 2**d */ +int mp_mod_2d(mp_int *a, int b, mp_int *c); + +/* computes a = 2**b */ +int mp_2expt(mp_int *a, int b); + +/* Counts the number of lsbs which are zero before the first zero bit */ +int mp_cnt_lsb(mp_int *a); + +/* I Love Earth! */ + +/* makes a pseudo-random int of a given size */ +int mp_rand(mp_int *a, int digits); + +/* ---> binary operations <--- */ +/* c = a XOR b */ +int mp_xor(mp_int *a, mp_int *b, mp_int *c); + +/* c = a OR b */ +int mp_or(mp_int *a, mp_int *b, mp_int *c); + +/* c = a AND b */ +int mp_and(mp_int *a, mp_int *b, mp_int *c); + +/* ---> Basic arithmetic <--- */ + +/* b = -a */ +int mp_neg(mp_int *a, mp_int *b); + +/* b = |a| */ +int mp_abs(mp_int *a, mp_int *b); + +/* compare a to b */ +int mp_cmp(mp_int *a, mp_int *b); + +/* compare |a| to |b| */ +int mp_cmp_mag(mp_int *a, mp_int *b); + +/* c = a + b */ +int mp_add(mp_int *a, mp_int *b, mp_int *c); + +/* c = a - b */ +int mp_sub(mp_int *a, mp_int *b, mp_int *c); + +/* c = a * b */ +int mp_mul(mp_int *a, mp_int *b, mp_int *c); + +/* b = a*a */ +int mp_sqr(mp_int *a, mp_int *b); + +/* a/b => cb + d == a */ +int mp_div(mp_int *a, mp_int *b, mp_int *c, mp_int *d); + +/* c = a mod b, 0 <= c < b */ +int mp_mod(mp_int *a, mp_int *b, mp_int *c); + +/* ---> single digit functions <--- */ + +/* compare against a single digit */ +int mp_cmp_d(mp_int *a, mp_digit b); + +/* c = a + b */ +int mp_add_d(mp_int *a, mp_digit b, mp_int *c); + +/* c = a - b */ +int mp_sub_d(mp_int *a, mp_digit b, mp_int *c); + +/* c = a * b */ +int mp_mul_d(mp_int *a, mp_digit b, mp_int *c); + +/* a/b => cb + d == a */ +int mp_div_d(mp_int *a, mp_digit b, mp_int *c, mp_digit *d); + +/* a/3 => 3c + d == a */ +int mp_div_3(mp_int *a, mp_int *c, mp_digit *d); + +/* c = a**b */ +int mp_expt_d(mp_int *a, mp_digit b, mp_int *c); + +/* c = a mod b, 0 <= c < b */ +int mp_mod_d(mp_int *a, mp_digit b, mp_digit *c); + +/* ---> number theory <--- */ + +/* d = a + b (mod c) */ +int mp_addmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); + +/* d = a - b (mod c) */ +int mp_submod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); + +/* d = a * b (mod c) */ +int mp_mulmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); + +/* c = a * a (mod b) */ +int mp_sqrmod(mp_int *a, mp_int *b, mp_int *c); + +/* c = 1/a (mod b) */ +int mp_invmod(mp_int *a, mp_int *b, mp_int *c); + +/* c = (a, b) */ +int mp_gcd(mp_int *a, mp_int *b, mp_int *c); + +/* produces value such that U1*a + U2*b = U3 */ +int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3); + +/* c = [a, b] or (a*b)/(a, b) */ +int mp_lcm(mp_int *a, mp_int *b, mp_int *c); + +/* finds one of the b'th root of a, such that |c|**b <= |a| + * + * returns error if a < 0 and b is even + */ +int mp_n_root(mp_int *a, mp_digit b, mp_int *c); + +/* special sqrt algo */ +int mp_sqrt(mp_int *arg, mp_int *ret); + +/* is number a square? */ +int mp_is_square(mp_int *arg, int *ret); + +/* computes the jacobi c = (a | n) (or Legendre if b is prime) */ +int mp_jacobi(mp_int *a, mp_int *n, int *c); + +/* used to setup the Barrett reduction for a given modulus b */ +int mp_reduce_setup(mp_int *a, mp_int *b); + +/* Barrett Reduction, computes a (mod b) with a precomputed value c + * + * Assumes that 0 < a <= b*b, note if 0 > a > -(b*b) then you can merely + * compute the reduction as -1 * mp_reduce(mp_abs(a)) [pseudo code]. + */ +int mp_reduce(mp_int *a, mp_int *b, mp_int *c); + +/* setups the montgomery reduction */ +int mp_montgomery_setup(mp_int *a, mp_digit *mp); + +/* computes a = B**n mod b without division or multiplication useful for + * normalizing numbers in a Montgomery system. + */ +int mp_montgomery_calc_normalization(mp_int *a, mp_int *b); + +/* computes x/R == x (mod N) via Montgomery Reduction */ +int mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); + +/* returns 1 if a is a valid DR modulus */ +int mp_dr_is_modulus(mp_int *a); + +/* sets the value of "d" required for mp_dr_reduce */ +void mp_dr_setup(mp_int *a, mp_digit *d); + +/* reduces a modulo b using the Diminished Radix method */ +int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp); + +/* returns true if a can be reduced with mp_reduce_2k */ +int mp_reduce_is_2k(mp_int *a); + +/* determines k value for 2k reduction */ +int mp_reduce_2k_setup(mp_int *a, mp_digit *d); + +/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ +int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); + +/* d = a**b (mod c) */ +int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); + +/* ---> Primes <--- */ + +/* number of primes */ +#ifdef MP_8BIT + #define PRIME_SIZE 31 +#else + #define PRIME_SIZE 256 +#endif + +/* table of first PRIME_SIZE primes */ +extern const mp_digit __prime_tab[]; + +/* result=1 if a is divisible by one of the first PRIME_SIZE primes */ +int mp_prime_is_divisible(mp_int *a, int *result); + +/* performs one Fermat test of "a" using base "b". + * Sets result to 0 if composite or 1 if probable prime + */ +int mp_prime_fermat(mp_int *a, mp_int *b, int *result); + +/* performs one Miller-Rabin test of "a" using base "b". + * Sets result to 0 if composite or 1 if probable prime + */ +int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result); + +/* This gives [for a given bit size] the number of trials required + * such that Miller-Rabin gives a prob of failure lower than 2^-96 + */ +int mp_prime_rabin_miller_trials(int size); + +/* performs t rounds of Miller-Rabin on "a" using the first + * t prime bases. Also performs an initial sieve of trial + * division. Determines if "a" is prime with probability + * of error no more than (1/4)**t. + * + * Sets result to 1 if probably prime, 0 otherwise + */ +int mp_prime_is_prime(mp_int *a, int t, int *result); + +/* finds the next prime after the number "a" using "t" trials + * of Miller-Rabin. + * + * bbs_style = 1 means the prime must be congruent to 3 mod 4 + */ +int mp_prime_next_prime(mp_int *a, int t, int bbs_style); + +/* makes a truly random prime of a given size (bytes), + * call with bbs = 1 if you want it to be congruent to 3 mod 4 + * + * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can + * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself + * so it can be NULL + * + * The prime generated will be larger than 2^(8*size). + */ +#define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat) + +/* makes a truly random prime of a given size (bits), + * + * Flags are as follows: + * + * LTM_PRIME_BBS - make prime congruent to 3 mod 4 + * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) + * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero + * LTM_PRIME_2MSB_ON - make the 2nd highest bit one + * + * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can + * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself + * so it can be NULL + * + */ +int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat); + +/* ---> radix conversion <--- */ +int mp_count_bits(mp_int *a); + +int mp_unsigned_bin_size(mp_int *a); +int mp_read_unsigned_bin(mp_int *a, unsigned char *b, int c); +int mp_to_unsigned_bin(mp_int *a, unsigned char *b); + +int mp_signed_bin_size(mp_int *a); +int mp_read_signed_bin(mp_int *a, unsigned char *b, int c); +int mp_to_signed_bin(mp_int *a, unsigned char *b); + +int mp_read_radix(mp_int *a, char *str, int radix); +int mp_toradix(mp_int *a, char *str, int radix); +int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); +int mp_radix_size(mp_int *a, int radix, int *size); + +int mp_fread(mp_int *a, int radix, FILE *stream); +int mp_fwrite(mp_int *a, int radix, FILE *stream); + +#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) +#define mp_raw_size(mp) mp_signed_bin_size(mp) +#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str)) +#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len)) +#define mp_mag_size(mp) mp_unsigned_bin_size(mp) +#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str)) + +#define mp_tobinary(M, S) mp_toradix((M), (S), 2) +#define mp_tooctal(M, S) mp_toradix((M), (S), 8) +#define mp_todecimal(M, S) mp_toradix((M), (S), 10) +#define mp_tohex(M, S) mp_toradix((M), (S), 16) + +/* lowlevel functions, do not call! */ +int s_mp_add(mp_int *a, mp_int *b, mp_int *c); +int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); +#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) +int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_sqr(mp_int *a, mp_int *b); +int s_mp_sqr(mp_int *a, mp_int *b); +int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_karatsuba_sqr(mp_int *a, mp_int *b); +int mp_toom_sqr(mp_int *a, mp_int *b); +int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); +int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); +int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); +int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y); +void bn_reverse(unsigned char *s, int len); + +extern const char *mp_s_rmap; + +#ifdef __cplusplus + } +#endif + +#endif +