diff --git a/include/cyclone/cyclone_bignum.h b/include/cyclone/cyclone_bignum.h new file mode 100644 index 00000000..12a86b29 --- /dev/null +++ b/include/cyclone/cyclone_bignum.h @@ -0,0 +1,615 @@ +/* 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. + * + * SPDX-License-Identifier: Unlicense + */ +#ifndef BN_H_ +#define BN_H_ + +#include +#include +#include +#include + +#include "cyclone_bignum_class.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/* MS Visual C++ doesn't have a 128bit type for words, so fall back to 32bit MPI's (where words are 64bit) */ +#if defined(_MSC_VER) || defined(__LLP64__) || defined(__e2k__) || defined(__LCC__) +# define MP_32BIT +#endif + +/* detect 64-bit mode if possible */ +#if defined(__x86_64__) || defined(_M_X64) || defined(_M_AMD64) || \ + defined(__powerpc64__) || defined(__ppc64__) || defined(__PPC64__) || \ + defined(__s390x__) || defined(__arch64__) || defined(__aarch64__) || \ + defined(__sparcv9) || defined(__sparc_v9__) || defined(__sparc64__) || \ + defined(__ia64) || defined(__ia64__) || defined(__itanium__) || defined(_M_IA64) || \ + defined(__LP64__) || defined(_LP64) || defined(__64BIT__) +# if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) +# if defined(__GNUC__) +/* we support 128bit integers only via: __attribute__((mode(TI))) */ +# define MP_64BIT +# else +/* otherwise we fall back to MP_32BIT even on 64bit platforms */ +# define MP_32BIT +# endif +# endif +#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 uint8_t mp_digit; +typedef uint16_t mp_word; +# define MP_SIZEOF_MP_DIGIT 1 +# ifdef DIGIT_BIT +# error You must not define DIGIT_BIT when using MP_8BIT +# endif +#elif defined(MP_16BIT) +typedef uint16_t mp_digit; +typedef uint32_t mp_word; +# define MP_SIZEOF_MP_DIGIT 2 +# ifdef DIGIT_BIT +# error You must not define DIGIT_BIT when using MP_16BIT +# endif +#elif defined(MP_64BIT) +/* for GCC only on supported platforms */ +typedef uint64_t 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 :-) */ +typedef uint32_t mp_digit; +typedef uint64_t 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 + +/* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ +#ifndef DIGIT_BIT +# define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */ +typedef uint_least32_t mp_min_u32; +#else +typedef mp_digit mp_min_u32; +#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_ITER -4 /* Max. iterations reached */ + +#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_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 +# ifndef MP_LOW_MEM +# define MP_PREC 32 /* 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 (1u << (((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 */ +const 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] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) +#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? 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 double */ +int mp_set_double(mp_int *a, double b); + +/* set a 32-bit const */ +int mp_set_int(mp_int *a, unsigned long b); + +/* set a platform dependent unsigned long value */ +int mp_set_long(mp_int *a, unsigned long b); + +/* set a platform dependent unsigned long long value */ +int mp_set_long_long(mp_int *a, unsigned long long b); + +/* get a double */ +double mp_get_double(const mp_int *a); + +/* get a 32-bit value */ +unsigned long mp_get_int(const mp_int *a); + +/* get a platform dependent unsigned long value */ +unsigned long mp_get_long(const mp_int *a); + +/* get a platform dependent unsigned long long value */ +unsigned long long mp_get_long_long(const 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(const mp_int *a, mp_int *b); + +/* inits and copies, a = b */ +int mp_init_copy(mp_int *a, const mp_int *b); + +/* trim unused digits */ +void mp_clamp(mp_int *a); + +/* import binary data */ +int mp_import(mp_int *rop, size_t count, int order, size_t size, int endian, size_t nails, const void *op); + +/* export binary data */ +int mp_export(void *rop, size_t *countp, int order, size_t size, int endian, size_t nails, const mp_int *op); + +/* ---> 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, implemented as c = a >> b */ +int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); + +/* b = a/2 */ +int mp_div_2(const mp_int *a, mp_int *b); + +/* c = a * 2**b, implemented as c = a << b */ +int mp_mul_2d(const mp_int *a, int b, mp_int *c); + +/* b = a*2 */ +int mp_mul_2(const mp_int *a, mp_int *b); + +/* c = a mod 2**b */ +int mp_mod_2d(const 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(const mp_int *a); + +/* I Love Earth! */ + +/* makes a pseudo-random mp_int of a given size */ +int mp_rand(mp_int *a, int digits); +/* makes a pseudo-random small int of a given size */ +int mp_rand_digit(mp_digit *r); + +#ifdef MP_PRNG_ENABLE_LTM_RNG +/* A last resort to provide random data on systems without any of the other + * implemented ways to gather entropy. + * It is compatible with `rng_get_bytes()` from libtomcrypt so you could + * provide that one and then set `ltm_rng = rng_get_bytes;` */ +extern unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void)); +extern void (*ltm_rng_callback)(void); +#endif + +/* ---> binary operations <--- */ +/* c = a XOR b */ +int mp_xor(const mp_int *a, const mp_int *b, mp_int *c); + +/* c = a OR b */ +int mp_or(const mp_int *a, const mp_int *b, mp_int *c); + +/* c = a AND b */ +int mp_and(const mp_int *a, const mp_int *b, mp_int *c); + +/* Checks the bit at position b and returns MP_YES + if the bit is 1, MP_NO if it is 0 and MP_VAL + in case of error */ +int mp_get_bit(const mp_int *a, int b); + +/* c = a XOR b (two complement) */ +int mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c); + +/* c = a OR b (two complement) */ +int mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c); + +/* c = a AND b (two complement) */ +int mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c); + +/* right shift (two complement) */ +int mp_tc_div_2d(const mp_int *a, int b, mp_int *c); + +/* ---> Basic arithmetic <--- */ + +/* b = ~a */ +int mp_complement(const mp_int *a, mp_int *b); + +/* b = -a */ +int mp_neg(const mp_int *a, mp_int *b); + +/* b = |a| */ +int mp_abs(const mp_int *a, mp_int *b); + +/* compare a to b */ +int mp_cmp(const mp_int *a, const mp_int *b); + +/* compare |a| to |b| */ +int mp_cmp_mag(const mp_int *a, const mp_int *b); + +/* c = a + b */ +int mp_add(const mp_int *a, const mp_int *b, mp_int *c); + +/* c = a - b */ +int mp_sub(const mp_int *a, const mp_int *b, mp_int *c); + +/* c = a * b */ +int mp_mul(const mp_int *a, const mp_int *b, mp_int *c); + +/* b = a*a */ +int mp_sqr(const mp_int *a, mp_int *b); + +/* a/b => cb + d == a */ +int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d); + +/* c = a mod b, 0 <= c < b */ +int mp_mod(const mp_int *a, const mp_int *b, mp_int *c); + +/* ---> single digit functions <--- */ + +/* compare against a single digit */ +int mp_cmp_d(const mp_int *a, mp_digit b); + +/* c = a + b */ +int mp_add_d(const mp_int *a, mp_digit b, mp_int *c); + +/* c = a - b */ +int mp_sub_d(const mp_int *a, mp_digit b, mp_int *c); + +/* c = a * b */ +int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c); + +/* a/b => cb + d == a */ +int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d); + +/* a/3 => 3c + d == a */ +int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d); + +/* c = a**b */ +int mp_expt_d(const mp_int *a, mp_digit b, mp_int *c); +int mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast); + +/* c = a mod b, 0 <= c < b */ +int mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c); + +/* ---> number theory <--- */ + +/* d = a + b (mod c) */ +int mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); + +/* d = a - b (mod c) */ +int mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); + +/* d = a * b (mod c) */ +int mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); + +/* c = a * a (mod b) */ +int mp_sqrmod(const mp_int *a, const mp_int *b, mp_int *c); + +/* c = 1/a (mod b) */ +int mp_invmod(const mp_int *a, const mp_int *b, mp_int *c); + +/* c = (a, b) */ +int mp_gcd(const mp_int *a, const mp_int *b, mp_int *c); + +/* produces value such that U1*a + U2*b = U3 */ +int mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3); + +/* c = [a, b] or (a*b)/(a, b) */ +int mp_lcm(const mp_int *a, const 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(const mp_int *a, mp_digit b, mp_int *c); +int mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast); + +/* special sqrt algo */ +int mp_sqrt(const mp_int *arg, mp_int *ret); + +/* special sqrt (mod prime) */ +int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret); + +/* is number a square? */ +int mp_is_square(const mp_int *arg, int *ret); + +/* computes the jacobi c = (a | n) (or Legendre if b is prime) */ +int mp_jacobi(const mp_int *a, const mp_int *n, int *c); + +/* computes the Kronecker symbol c = (a | p) (like jacobi() but with {a,p} in Z */ +int mp_kronecker(const mp_int *a, const mp_int *p, int *c); + +/* used to setup the Barrett reduction for a given modulus b */ +int mp_reduce_setup(mp_int *a, const mp_int *b); + +/* Barrett Reduction, computes a (mod b) with a precomputed value c + * + * Assumes that 0 < x <= m*m, note if 0 > x > -(m*m) then you can merely + * compute the reduction as -1 * mp_reduce(mp_abs(x)) [pseudo code]. + */ +int mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu); + +/* setups the montgomery reduction */ +int mp_montgomery_setup(const mp_int *n, mp_digit *rho); + +/* 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, const mp_int *b); + +/* computes x/R == x (mod N) via Montgomery Reduction */ +int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho); + +/* returns 1 if a is a valid DR modulus */ +int mp_dr_is_modulus(const mp_int *a); + +/* sets the value of "d" required for mp_dr_reduce */ +void mp_dr_setup(const mp_int *a, mp_digit *d); + +/* reduces a modulo n using the Diminished Radix method */ +int mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k); + +/* returns true if a can be reduced with mp_reduce_2k */ +int mp_reduce_is_2k(const mp_int *a); + +/* determines k value for 2k reduction */ +int mp_reduce_2k_setup(const 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, const mp_int *n, mp_digit d); + +/* returns true if a can be reduced with mp_reduce_2k_l */ +int mp_reduce_is_2k_l(const mp_int *a); + +/* determines k value for 2k reduction */ +int mp_reduce_2k_setup_l(const mp_int *a, mp_int *d); + +/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ +int mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d); + +/* Y = G**X (mod P) */ +int mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y); + +/* ---> 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 ltm_prime_tab[PRIME_SIZE]; + +/* result=1 if a is divisible by one of the first PRIME_SIZE primes */ +int mp_prime_is_divisible(const 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(const mp_int *a, const 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(const mp_int *a, const 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 one strong Lucas-Selfridge test of "a". + * Sets result to 0 if composite or 1 if probable prime + */ +int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result); + +/* performs one Frobenius test of "a" as described by Paul Underwood. + * Sets result to 0 if composite or 1 if probable prime + */ +int mp_prime_frobenius_underwood(const mp_int *N, int *result); + +/* performs t random rounds of Miller-Rabin on "a" additional to + * bases 2 and 3. Also performs an initial sieve of trial + * division. Determines if "a" is prime with probability + * of error no more than (1/4)**t. + * Both a strong Lucas-Selfridge to complete the BPSW test + * and a separate Frobenius test are available at compile time. + * With t<0 a deterministic test is run for primes up to + * 318665857834031151167461. With t<13 (abs(t)-13) additional + * tests with sequential small primes are run starting at 43. + * Is Fips 186.4 compliant if called with t as computed by + * mp_prime_rabin_miller_trials(); + * + * Sets result to 1 if probably prime, 0 otherwise + */ +int mp_prime_is_prime(const 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_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(const mp_int *a); + +int mp_unsigned_bin_size(const mp_int *a); +int mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c); +int mp_to_unsigned_bin(const mp_int *a, unsigned char *b); +int mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen); + +int mp_signed_bin_size(const mp_int *a); +int mp_read_signed_bin(mp_int *a, const unsigned char *b, int c); +int mp_to_signed_bin(const mp_int *a, unsigned char *b); +int mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen); + +int mp_read_radix(mp_int *a, const char *str, int radix); +int mp_toradix(const mp_int *a, char *str, int radix); +int mp_toradix_n(const mp_int *a, char *str, int radix, int maxlen); +int mp_radix_size(const mp_int *a, int radix, int *size); + +#ifndef LTM_NO_FILE +int mp_fread(mp_int *a, int radix, FILE *stream); +int mp_fwrite(const mp_int *a, int radix, FILE *stream); +#endif + +#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) + +#ifdef __cplusplus +} +#endif + +#endif + + +/* ref: tag: v1.1.0, master */ +/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ +/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/include/cyclone/cyclone_bignum_class.h b/include/cyclone/cyclone_bignum_class.h new file mode 100644 index 00000000..dac89061 --- /dev/null +++ b/include/cyclone/cyclone_bignum_class.h @@ -0,0 +1,1223 @@ +/* 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. + * + * SPDX-License-Identifier: Unlicense + */ + +#if !(defined(LTM1) && defined(LTM2) && defined(LTM3)) +#if defined(LTM2) +# define LTM3 +#endif +#if defined(LTM1) +# define LTM2 +#endif +#define LTM1 +#if defined(LTM_ALL) +# define BN_ERROR_C +# define BN_FAST_MP_INVMOD_C +# define BN_FAST_MP_MONTGOMERY_REDUCE_C +# define BN_FAST_S_MP_MUL_DIGS_C +# define BN_FAST_S_MP_MUL_HIGH_DIGS_C +# define BN_FAST_S_MP_SQR_C +# define BN_MP_2EXPT_C +# define BN_MP_ABS_C +# define BN_MP_ADD_C +# define BN_MP_ADD_D_C +# define BN_MP_ADDMOD_C +# define BN_MP_AND_C +# define BN_MP_CLAMP_C +# define BN_MP_CLEAR_C +# define BN_MP_CLEAR_MULTI_C +# define BN_MP_CMP_C +# define BN_MP_CMP_D_C +# define BN_MP_CMP_MAG_C +# define BN_MP_CNT_LSB_C +# define BN_MP_COMPLEMENT_C +# define BN_MP_COPY_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_DIV_C +# define BN_MP_DIV_2_C +# define BN_MP_DIV_2D_C +# define BN_MP_DIV_3_C +# define BN_MP_DIV_D_C +# define BN_MP_DR_IS_MODULUS_C +# define BN_MP_DR_REDUCE_C +# define BN_MP_DR_SETUP_C +# define BN_MP_EXCH_C +# define BN_MP_EXPORT_C +# define BN_MP_EXPT_D_C +# define BN_MP_EXPT_D_EX_C +# define BN_MP_EXPTMOD_C +# define BN_MP_EXPTMOD_FAST_C +# define BN_MP_EXTEUCLID_C +# define BN_MP_FREAD_C +# define BN_MP_FWRITE_C +# define BN_MP_GCD_C +# define BN_MP_GET_BIT_C +# define BN_MP_GET_DOUBLE_C +# define BN_MP_GET_INT_C +# define BN_MP_GET_LONG_C +# define BN_MP_GET_LONG_LONG_C +# define BN_MP_GROW_C +# define BN_MP_IMPORT_C +# define BN_MP_INIT_C +# define BN_MP_INIT_COPY_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_INIT_SET_C +# define BN_MP_INIT_SET_INT_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_INVMOD_C +# define BN_MP_INVMOD_SLOW_C +# define BN_MP_IS_SQUARE_C +# define BN_MP_JACOBI_C +# define BN_MP_KARATSUBA_MUL_C +# define BN_MP_KARATSUBA_SQR_C +# define BN_MP_KRONECKER_C +# define BN_MP_LCM_C +# define BN_MP_LSHD_C +# define BN_MP_MOD_C +# define BN_MP_MOD_2D_C +# define BN_MP_MOD_D_C +# define BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +# define BN_MP_MONTGOMERY_REDUCE_C +# define BN_MP_MONTGOMERY_SETUP_C +# define BN_MP_MUL_C +# define BN_MP_MUL_2_C +# define BN_MP_MUL_2D_C +# define BN_MP_MUL_D_C +# define BN_MP_MULMOD_C +# define BN_MP_N_ROOT_C +# define BN_MP_N_ROOT_EX_C +# define BN_MP_NEG_C +# define BN_MP_OR_C +# define BN_MP_PRIME_FERMAT_C +# define BN_MP_PRIME_FROBENIUS_UNDERWOOD_C +# define BN_MP_PRIME_IS_DIVISIBLE_C +# define BN_MP_PRIME_IS_PRIME_C +# define BN_MP_PRIME_MILLER_RABIN_C +# define BN_MP_PRIME_NEXT_PRIME_C +# define BN_MP_PRIME_RABIN_MILLER_TRIALS_C +# define BN_MP_PRIME_RANDOM_EX_C +# define BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C +# define BN_MP_RADIX_SIZE_C +# define BN_MP_RADIX_SMAP_C +# define BN_MP_RAND_C +# define BN_MP_READ_RADIX_C +# define BN_MP_READ_SIGNED_BIN_C +# define BN_MP_READ_UNSIGNED_BIN_C +# define BN_MP_REDUCE_C +# define BN_MP_REDUCE_2K_C +# define BN_MP_REDUCE_2K_L_C +# define BN_MP_REDUCE_2K_SETUP_C +# define BN_MP_REDUCE_2K_SETUP_L_C +# define BN_MP_REDUCE_IS_2K_C +# define BN_MP_REDUCE_IS_2K_L_C +# define BN_MP_REDUCE_SETUP_C +# define BN_MP_RSHD_C +# define BN_MP_SET_C +# define BN_MP_SET_DOUBLE_C +# define BN_MP_SET_INT_C +# define BN_MP_SET_LONG_C +# define BN_MP_SET_LONG_LONG_C +# define BN_MP_SHRINK_C +# define BN_MP_SIGNED_BIN_SIZE_C +# define BN_MP_SQR_C +# define BN_MP_SQRMOD_C +# define BN_MP_SQRT_C +# define BN_MP_SQRTMOD_PRIME_C +# define BN_MP_SUB_C +# define BN_MP_SUB_D_C +# define BN_MP_SUBMOD_C +# define BN_MP_TC_AND_C +# define BN_MP_TC_DIV_2D_C +# define BN_MP_TC_OR_C +# define BN_MP_TC_XOR_C +# define BN_MP_TO_SIGNED_BIN_C +# define BN_MP_TO_SIGNED_BIN_N_C +# define BN_MP_TO_UNSIGNED_BIN_C +# define BN_MP_TO_UNSIGNED_BIN_N_C +# define BN_MP_TOOM_MUL_C +# define BN_MP_TOOM_SQR_C +# define BN_MP_TORADIX_C +# define BN_MP_TORADIX_N_C +# define BN_MP_UNSIGNED_BIN_SIZE_C +# define BN_MP_XOR_C +# define BN_MP_ZERO_C +# define BN_PRIME_TAB_C +# define BN_REVERSE_C +# define BN_S_MP_ADD_C +# define BN_S_MP_EXPTMOD_C +# define BN_S_MP_MUL_DIGS_C +# define BN_S_MP_MUL_HIGH_DIGS_C +# define BN_S_MP_SQR_C +# define BN_S_MP_SUB_C +# define BNCORE_C +#endif +#if defined(BN_ERROR_C) +# define BN_MP_ERROR_TO_STRING_C +#endif + +#if defined(BN_FAST_MP_INVMOD_C) +# define BN_MP_ISEVEN_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_COPY_C +# define BN_MP_MOD_C +# define BN_MP_ISZERO_C +# define BN_MP_SET_C +# define BN_MP_DIV_2_C +# define BN_MP_ISODD_C +# define BN_MP_SUB_C +# define BN_MP_CMP_C +# define BN_MP_CMP_D_C +# define BN_MP_ADD_C +# define BN_MP_CMP_MAG_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_FAST_MP_MONTGOMERY_REDUCE_C) +# define BN_MP_GROW_C +# define BN_MP_RSHD_C +# define BN_MP_CLAMP_C +# define BN_MP_CMP_MAG_C +# define BN_S_MP_SUB_C +#endif + +#if defined(BN_FAST_S_MP_MUL_DIGS_C) +# define BN_MP_GROW_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) +# define BN_MP_GROW_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_FAST_S_MP_SQR_C) +# define BN_MP_GROW_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_2EXPT_C) +# define BN_MP_ZERO_C +# define BN_MP_GROW_C +#endif + +#if defined(BN_MP_ABS_C) +# define BN_MP_COPY_C +#endif + +#if defined(BN_MP_ADD_C) +# define BN_S_MP_ADD_C +# define BN_MP_CMP_MAG_C +# define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_ADD_D_C) +# define BN_MP_GROW_C +# define BN_MP_SUB_D_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_ADDMOD_C) +# define BN_MP_INIT_C +# define BN_MP_ADD_C +# define BN_MP_CLEAR_C +# define BN_MP_MOD_C +#endif + +#if defined(BN_MP_AND_C) +# define BN_MP_INIT_COPY_C +# define BN_MP_CLAMP_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_CLAMP_C) +#endif + +#if defined(BN_MP_CLEAR_C) +#endif + +#if defined(BN_MP_CLEAR_MULTI_C) +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_CMP_C) +# define BN_MP_CMP_MAG_C +#endif + +#if defined(BN_MP_CMP_D_C) +#endif + +#if defined(BN_MP_CMP_MAG_C) +#endif + +#if defined(BN_MP_CNT_LSB_C) +# define BN_MP_ISZERO_C +#endif + +#if defined(BN_MP_COMPLEMENT_C) +# define BN_MP_NEG_C +# define BN_MP_SUB_D_C +#endif + +#if defined(BN_MP_COPY_C) +# define BN_MP_GROW_C +#endif + +#if defined(BN_MP_COUNT_BITS_C) +#endif + +#if defined(BN_MP_DIV_C) +# define BN_MP_ISZERO_C +# define BN_MP_CMP_MAG_C +# define BN_MP_COPY_C +# define BN_MP_ZERO_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_SET_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_ABS_C +# define BN_MP_MUL_2D_C +# define BN_MP_CMP_C +# define BN_MP_SUB_C +# define BN_MP_ADD_C +# define BN_MP_DIV_2D_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_MULTI_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_INIT_C +# define BN_MP_INIT_COPY_C +# define BN_MP_LSHD_C +# define BN_MP_RSHD_C +# define BN_MP_MUL_D_C +# define BN_MP_CLAMP_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_DIV_2_C) +# define BN_MP_GROW_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_DIV_2D_C) +# define BN_MP_COPY_C +# define BN_MP_ZERO_C +# define BN_MP_MOD_2D_C +# define BN_MP_RSHD_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_DIV_3_C) +# define BN_MP_INIT_SIZE_C +# define BN_MP_CLAMP_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_DIV_D_C) +# define BN_MP_ISZERO_C +# define BN_MP_COPY_C +# define BN_MP_DIV_2D_C +# define BN_MP_DIV_3_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_CLAMP_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_DR_IS_MODULUS_C) +#endif + +#if defined(BN_MP_DR_REDUCE_C) +# define BN_MP_GROW_C +# define BN_MP_CLAMP_C +# define BN_MP_CMP_MAG_C +# define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_DR_SETUP_C) +#endif + +#if defined(BN_MP_EXCH_C) +#endif + +#if defined(BN_MP_EXPORT_C) +# define BN_MP_INIT_COPY_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_DIV_2D_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_EXPT_D_C) +# define BN_MP_EXPT_D_EX_C +#endif + +#if defined(BN_MP_EXPT_D_EX_C) +# define BN_MP_INIT_COPY_C +# define BN_MP_SET_C +# define BN_MP_MUL_C +# define BN_MP_CLEAR_C +# define BN_MP_SQR_C +#endif + +#if defined(BN_MP_EXPTMOD_C) +# define BN_MP_INIT_C +# define BN_MP_INVMOD_C +# define BN_MP_CLEAR_C +# define BN_MP_ABS_C +# define BN_MP_CLEAR_MULTI_C +# define BN_MP_REDUCE_IS_2K_L_C +# define BN_S_MP_EXPTMOD_C +# define BN_MP_DR_IS_MODULUS_C +# define BN_MP_REDUCE_IS_2K_C +# define BN_MP_ISODD_C +# define BN_MP_EXPTMOD_FAST_C +#endif + +#if defined(BN_MP_EXPTMOD_FAST_C) +# define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_CLEAR_C +# define BN_MP_MONTGOMERY_SETUP_C +# define BN_FAST_MP_MONTGOMERY_REDUCE_C +# define BN_MP_MONTGOMERY_REDUCE_C +# define BN_MP_DR_SETUP_C +# define BN_MP_DR_REDUCE_C +# define BN_MP_REDUCE_2K_SETUP_C +# define BN_MP_REDUCE_2K_C +# define BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +# define BN_MP_MULMOD_C +# define BN_MP_SET_C +# define BN_MP_MOD_C +# define BN_MP_COPY_C +# define BN_MP_SQR_C +# define BN_MP_MUL_C +# define BN_MP_EXCH_C +#endif + +#if defined(BN_MP_EXTEUCLID_C) +# define BN_MP_INIT_MULTI_C +# define BN_MP_SET_C +# define BN_MP_COPY_C +# define BN_MP_ISZERO_C +# define BN_MP_DIV_C +# define BN_MP_MUL_C +# define BN_MP_SUB_C +# define BN_MP_NEG_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_FREAD_C) +# define BN_MP_ZERO_C +# define BN_MP_S_RMAP_REVERSE_SZ_C +# define BN_MP_S_RMAP_REVERSE_C +# define BN_MP_MUL_D_C +# define BN_MP_ADD_D_C +# define BN_MP_CMP_D_C +#endif + +#if defined(BN_MP_FWRITE_C) +# define BN_MP_RADIX_SIZE_C +# define BN_MP_TORADIX_C +#endif + +#if defined(BN_MP_GCD_C) +# define BN_MP_ISZERO_C +# define BN_MP_ABS_C +# define BN_MP_INIT_COPY_C +# define BN_MP_CNT_LSB_C +# define BN_MP_DIV_2D_C +# define BN_MP_CMP_MAG_C +# define BN_MP_EXCH_C +# define BN_S_MP_SUB_C +# define BN_MP_MUL_2D_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_GET_BIT_C) +# define BN_MP_ISZERO_C +#endif + +#if defined(BN_MP_GET_DOUBLE_C) +# define BN_MP_ISNEG_C +#endif + +#if defined(BN_MP_GET_INT_C) +#endif + +#if defined(BN_MP_GET_LONG_C) +#endif + +#if defined(BN_MP_GET_LONG_LONG_C) +#endif + +#if defined(BN_MP_GROW_C) +#endif + +#if defined(BN_MP_IMPORT_C) +# define BN_MP_ZERO_C +# define BN_MP_MUL_2D_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_INIT_C) +#endif + +#if defined(BN_MP_INIT_COPY_C) +# define BN_MP_INIT_SIZE_C +# define BN_MP_COPY_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_INIT_MULTI_C) +# define BN_MP_ERR_C +# define BN_MP_INIT_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_INIT_SET_C) +# define BN_MP_INIT_C +# define BN_MP_SET_C +#endif + +#if defined(BN_MP_INIT_SET_INT_C) +# define BN_MP_INIT_C +# define BN_MP_SET_INT_C +#endif + +#if defined(BN_MP_INIT_SIZE_C) +# define BN_MP_INIT_C +#endif + +#if defined(BN_MP_INVMOD_C) +# define BN_MP_CMP_D_C +# define BN_MP_ISODD_C +# define BN_FAST_MP_INVMOD_C +# define BN_MP_INVMOD_SLOW_C +#endif + +#if defined(BN_MP_INVMOD_SLOW_C) +# define BN_MP_ISZERO_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_MOD_C +# define BN_MP_COPY_C +# define BN_MP_ISEVEN_C +# define BN_MP_SET_C +# define BN_MP_DIV_2_C +# define BN_MP_ISODD_C +# define BN_MP_ADD_C +# define BN_MP_SUB_C +# define BN_MP_CMP_C +# define BN_MP_CMP_D_C +# define BN_MP_CMP_MAG_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_IS_SQUARE_C) +# define BN_MP_MOD_D_C +# define BN_MP_INIT_SET_INT_C +# define BN_MP_MOD_C +# define BN_MP_GET_INT_C +# define BN_MP_SQRT_C +# define BN_MP_SQR_C +# define BN_MP_CMP_MAG_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_JACOBI_C) +# define BN_MP_KRONECKER_C +# define BN_MP_ISNEG_C +# define BN_MP_CMP_D_C +#endif + +#if defined(BN_MP_KARATSUBA_MUL_C) +# define BN_MP_MUL_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_CLAMP_C +# define BN_S_MP_ADD_C +# define BN_MP_ADD_C +# define BN_S_MP_SUB_C +# define BN_MP_LSHD_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_KARATSUBA_SQR_C) +# define BN_MP_INIT_SIZE_C +# define BN_MP_CLAMP_C +# define BN_MP_SQR_C +# define BN_S_MP_ADD_C +# define BN_S_MP_SUB_C +# define BN_MP_LSHD_C +# define BN_MP_ADD_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_KRONECKER_C) +# define BN_MP_ISZERO_C +# define BN_MP_ISEVEN_C +# define BN_MP_INIT_COPY_C +# define BN_MP_CNT_LSB_C +# define BN_MP_DIV_2D_C +# define BN_MP_CMP_D_C +# define BN_MP_COPY_C +# define BN_MP_MOD_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_LCM_C) +# define BN_MP_INIT_MULTI_C +# define BN_MP_GCD_C +# define BN_MP_CMP_MAG_C +# define BN_MP_DIV_C +# define BN_MP_MUL_C +# define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_LSHD_C) +# define BN_MP_ISZERO_C +# define BN_MP_GROW_C +# define BN_MP_RSHD_C +#endif + +#if defined(BN_MP_MOD_C) +# define BN_MP_INIT_SIZE_C +# define BN_MP_DIV_C +# define BN_MP_CLEAR_C +# define BN_MP_ISZERO_C +# define BN_MP_EXCH_C +# define BN_MP_ADD_C +#endif + +#if defined(BN_MP_MOD_2D_C) +# define BN_MP_ZERO_C +# define BN_MP_COPY_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_MOD_D_C) +# define BN_MP_DIV_D_C +#endif + +#if defined(BN_MP_MONTGOMERY_CALC_NORMALIZATION_C) +# define BN_MP_COUNT_BITS_C +# define BN_MP_2EXPT_C +# define BN_MP_SET_C +# define BN_MP_MUL_2_C +# define BN_MP_CMP_MAG_C +# define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_MONTGOMERY_REDUCE_C) +# define BN_FAST_MP_MONTGOMERY_REDUCE_C +# define BN_MP_GROW_C +# define BN_MP_CLAMP_C +# define BN_MP_RSHD_C +# define BN_MP_CMP_MAG_C +# define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_MONTGOMERY_SETUP_C) +#endif + +#if defined(BN_MP_MUL_C) +# define BN_MP_TOOM_MUL_C +# define BN_MP_KARATSUBA_MUL_C +# define BN_FAST_S_MP_MUL_DIGS_C +# define BN_S_MP_MUL_C +# define BN_S_MP_MUL_DIGS_C +#endif + +#if defined(BN_MP_MUL_2_C) +# define BN_MP_GROW_C +#endif + +#if defined(BN_MP_MUL_2D_C) +# define BN_MP_COPY_C +# define BN_MP_GROW_C +# define BN_MP_LSHD_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_MUL_D_C) +# define BN_MP_GROW_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_MULMOD_C) +# define BN_MP_INIT_SIZE_C +# define BN_MP_MUL_C +# define BN_MP_CLEAR_C +# define BN_MP_MOD_C +#endif + +#if defined(BN_MP_N_ROOT_C) +# define BN_MP_N_ROOT_EX_C +#endif + +#if defined(BN_MP_N_ROOT_EX_C) +# define BN_MP_INIT_C +# define BN_MP_SET_C +# define BN_MP_COPY_C +# define BN_MP_EXPT_D_EX_C +# define BN_MP_MUL_C +# define BN_MP_SUB_C +# define BN_MP_MUL_D_C +# define BN_MP_DIV_C +# define BN_MP_CMP_C +# define BN_MP_SUB_D_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_NEG_C) +# define BN_MP_COPY_C +# define BN_MP_ISZERO_C +#endif + +#if defined(BN_MP_OR_C) +# define BN_MP_INIT_COPY_C +# define BN_MP_CLAMP_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_PRIME_FERMAT_C) +# define BN_MP_CMP_D_C +# define BN_MP_INIT_C +# define BN_MP_EXPTMOD_C +# define BN_MP_CMP_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_PRIME_FROBENIUS_UNDERWOOD_C) +# define BN_MP_PRIME_IS_PRIME_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_SET_LONG_C +# define BN_MP_SQR_C +# define BN_MP_SUB_D_C +# define BN_MP_KRONECKER_C +# define BN_MP_GCD_C +# define BN_MP_ADD_D_C +# define BN_MP_SET_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_MUL_2_C +# define BN_MP_MUL_D_C +# define BN_MP_ADD_C +# define BN_MP_MUL_C +# define BN_MP_SUB_C +# define BN_MP_MOD_C +# define BN_MP_GET_BIT_C +# define BN_MP_EXCH_C +# define BN_MP_ISZERO_C +# define BN_MP_CMP_C +# define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_PRIME_IS_DIVISIBLE_C) +# define BN_MP_MOD_D_C +#endif + +#if defined(BN_MP_PRIME_IS_PRIME_C) +# define BN_MP_ISEVEN_C +# define BN_MP_IS_SQUARE_C +# define BN_MP_CMP_D_C +# define BN_MP_PRIME_IS_DIVISIBLE_C +# define BN_MP_INIT_SET_C +# define BN_MP_PRIME_MILLER_RABIN_C +# define BN_MP_PRIME_FROBENIUS_UNDERWOOD_C +# define BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C +# define BN_MP_READ_RADIX_C +# define BN_MP_CMP_C +# define BN_MP_SET_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_RAND_C +# define BN_MP_DIV_2D_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_PRIME_MILLER_RABIN_C) +# define BN_MP_CMP_D_C +# define BN_MP_INIT_COPY_C +# define BN_MP_SUB_D_C +# define BN_MP_CNT_LSB_C +# define BN_MP_DIV_2D_C +# define BN_MP_EXPTMOD_C +# define BN_MP_CMP_C +# define BN_MP_SQRMOD_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_PRIME_NEXT_PRIME_C) +# define BN_MP_CMP_D_C +# define BN_MP_SET_C +# define BN_MP_SUB_D_C +# define BN_MP_ISEVEN_C +# define BN_MP_MOD_D_C +# define BN_MP_INIT_C +# define BN_MP_ADD_D_C +# define BN_MP_PRIME_IS_PRIME_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_PRIME_RABIN_MILLER_TRIALS_C) +#endif + +#if defined(BN_MP_PRIME_RANDOM_EX_C) +# define BN_MP_READ_UNSIGNED_BIN_C +# define BN_MP_PRIME_IS_PRIME_C +# define BN_MP_SUB_D_C +# define BN_MP_DIV_2_C +# define BN_MP_MUL_2_C +# define BN_MP_ADD_D_C +#endif + +#if defined(BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C) +# define BN_MP_PRIME_IS_PRIME_C +# define BN_MP_MUL_D_C +# define BN_S_MP_MUL_SI_C +# define BN_MP_INIT_C +# define BN_MP_SET_LONG_C +# define BN_MP_MUL_C +# define BN_MP_CLEAR_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_GCD_C +# define BN_MP_CMP_D_C +# define BN_MP_CMP_C +# define BN_MP_KRONECKER_C +# define BN_MP_ADD_D_C +# define BN_MP_CNT_LSB_C +# define BN_MP_DIV_2D_C +# define BN_MP_SET_C +# define BN_MP_MUL_2_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_MOD_C +# define BN_MP_SQR_C +# define BN_MP_SUB_C +# define BN_MP_GET_BIT_C +# define BN_MP_ADD_C +# define BN_MP_ISODD_C +# define BN_MP_DIV_2_C +# define BN_MP_SUB_D_C +# define BN_MP_ISZERO_C +# define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_RADIX_SIZE_C) +# define BN_MP_ISZERO_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_COPY_C +# define BN_MP_DIV_D_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_RADIX_SMAP_C) +# define BN_MP_S_RMAP_C +# define BN_MP_S_RMAP_REVERSE_C +# define BN_MP_S_RMAP_REVERSE_SZ_C +#endif + +#if defined(BN_MP_RAND_C) +# define BN_MP_RAND_DIGIT_C +# define BN_MP_ZERO_C +# define BN_MP_ADD_D_C +# define BN_MP_LSHD_C +#endif + +#if defined(BN_MP_READ_RADIX_C) +# define BN_MP_ZERO_C +# define BN_MP_S_RMAP_REVERSE_SZ_C +# define BN_MP_S_RMAP_REVERSE_C +# define BN_MP_MUL_D_C +# define BN_MP_ADD_D_C +# define BN_MP_ISZERO_C +#endif + +#if defined(BN_MP_READ_SIGNED_BIN_C) +# define BN_MP_READ_UNSIGNED_BIN_C +#endif + +#if defined(BN_MP_READ_UNSIGNED_BIN_C) +# define BN_MP_GROW_C +# define BN_MP_ZERO_C +# define BN_MP_MUL_2D_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_REDUCE_C) +# define BN_MP_REDUCE_SETUP_C +# define BN_MP_INIT_COPY_C +# define BN_MP_RSHD_C +# define BN_MP_MUL_C +# define BN_S_MP_MUL_HIGH_DIGS_C +# define BN_FAST_S_MP_MUL_HIGH_DIGS_C +# define BN_MP_MOD_2D_C +# define BN_S_MP_MUL_DIGS_C +# define BN_MP_SUB_C +# define BN_MP_CMP_D_C +# define BN_MP_SET_C +# define BN_MP_LSHD_C +# define BN_MP_ADD_C +# define BN_MP_CMP_C +# define BN_S_MP_SUB_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_REDUCE_2K_C) +# define BN_MP_INIT_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_DIV_2D_C +# define BN_MP_MUL_D_C +# define BN_S_MP_ADD_C +# define BN_MP_CMP_MAG_C +# define BN_S_MP_SUB_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_REDUCE_2K_L_C) +# define BN_MP_INIT_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_DIV_2D_C +# define BN_MP_MUL_C +# define BN_S_MP_ADD_C +# define BN_MP_CMP_MAG_C +# define BN_S_MP_SUB_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_REDUCE_2K_SETUP_C) +# define BN_MP_INIT_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_2EXPT_C +# define BN_MP_CLEAR_C +# define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_REDUCE_2K_SETUP_L_C) +# define BN_MP_INIT_C +# define BN_MP_2EXPT_C +# define BN_MP_COUNT_BITS_C +# define BN_S_MP_SUB_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_REDUCE_IS_2K_C) +# define BN_MP_REDUCE_2K_C +# define BN_MP_COUNT_BITS_C +#endif + +#if defined(BN_MP_REDUCE_IS_2K_L_C) +#endif + +#if defined(BN_MP_REDUCE_SETUP_C) +# define BN_MP_2EXPT_C +# define BN_MP_DIV_C +#endif + +#if defined(BN_MP_RSHD_C) +# define BN_MP_ZERO_C +#endif + +#if defined(BN_MP_SET_C) +# define BN_MP_ZERO_C +#endif + +#if defined(BN_MP_SET_DOUBLE_C) +# define BN_MP_SET_LONG_LONG_C +# define BN_MP_DIV_2D_C +# define BN_MP_MUL_2D_C +# define BN_MP_ISZERO_C +#endif + +#if defined(BN_MP_SET_INT_C) +# define BN_MP_ZERO_C +# define BN_MP_MUL_2D_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_SET_LONG_C) +#endif + +#if defined(BN_MP_SET_LONG_LONG_C) +#endif + +#if defined(BN_MP_SHRINK_C) +#endif + +#if defined(BN_MP_SIGNED_BIN_SIZE_C) +# define BN_MP_UNSIGNED_BIN_SIZE_C +#endif + +#if defined(BN_MP_SQR_C) +# define BN_MP_TOOM_SQR_C +# define BN_MP_KARATSUBA_SQR_C +# define BN_FAST_S_MP_SQR_C +# define BN_S_MP_SQR_C +#endif + +#if defined(BN_MP_SQRMOD_C) +# define BN_MP_INIT_C +# define BN_MP_SQR_C +# define BN_MP_CLEAR_C +# define BN_MP_MOD_C +#endif + +#if defined(BN_MP_SQRT_C) +# define BN_MP_N_ROOT_C +# define BN_MP_ISZERO_C +# define BN_MP_ZERO_C +# define BN_MP_INIT_COPY_C +# define BN_MP_RSHD_C +# define BN_MP_DIV_C +# define BN_MP_ADD_C +# define BN_MP_DIV_2_C +# define BN_MP_CMP_MAG_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_SQRTMOD_PRIME_C) +# define BN_MP_CMP_D_C +# define BN_MP_ZERO_C +# define BN_MP_JACOBI_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_MOD_D_C +# define BN_MP_ADD_D_C +# define BN_MP_DIV_2_C +# define BN_MP_EXPTMOD_C +# define BN_MP_COPY_C +# define BN_MP_SUB_D_C +# define BN_MP_ISEVEN_C +# define BN_MP_SET_INT_C +# define BN_MP_SQRMOD_C +# define BN_MP_MULMOD_C +# define BN_MP_SET_C +# define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_SUB_C) +# define BN_S_MP_ADD_C +# define BN_MP_CMP_MAG_C +# define BN_S_MP_SUB_C +#endif + +#if defined(BN_MP_SUB_D_C) +# define BN_MP_GROW_C +# define BN_MP_ADD_D_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_MP_SUBMOD_C) +# define BN_MP_INIT_C +# define BN_MP_SUB_C +# define BN_MP_CLEAR_C +# define BN_MP_MOD_C +#endif + +#if defined(BN_MP_TC_AND_C) +# define BN_MP_ISNEG_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_SET_INT_C +# define BN_MP_MUL_2D_C +# define BN_MP_INIT_C +# define BN_MP_ADD_C +# define BN_MP_CLEAR_C +# define BN_MP_AND_C +# define BN_MP_SUB_C +#endif + +#if defined(BN_MP_TC_DIV_2D_C) +# define BN_MP_ISNEG_C +# define BN_MP_DIV_2D_C +# define BN_MP_ADD_D_C +# define BN_MP_SUB_D_C +#endif + +#if defined(BN_MP_TC_OR_C) +# define BN_MP_ISNEG_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_SET_INT_C +# define BN_MP_MUL_2D_C +# define BN_MP_INIT_C +# define BN_MP_ADD_C +# define BN_MP_CLEAR_C +# define BN_MP_OR_C +# define BN_MP_SUB_C +#endif + +#if defined(BN_MP_TC_XOR_C) +# define BN_MP_ISNEG_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_SET_INT_C +# define BN_MP_MUL_2D_C +# define BN_MP_INIT_C +# define BN_MP_ADD_C +# define BN_MP_CLEAR_C +# define BN_MP_XOR_C +# define BN_MP_SUB_C +#endif + +#if defined(BN_MP_TO_SIGNED_BIN_C) +# define BN_MP_TO_UNSIGNED_BIN_C +#endif + +#if defined(BN_MP_TO_SIGNED_BIN_N_C) +# define BN_MP_SIGNED_BIN_SIZE_C +# define BN_MP_TO_SIGNED_BIN_C +#endif + +#if defined(BN_MP_TO_UNSIGNED_BIN_C) +# define BN_MP_INIT_COPY_C +# define BN_MP_ISZERO_C +# define BN_MP_DIV_2D_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_TO_UNSIGNED_BIN_N_C) +# define BN_MP_UNSIGNED_BIN_SIZE_C +# define BN_MP_TO_UNSIGNED_BIN_C +#endif + +#if defined(BN_MP_TOOM_MUL_C) +# define BN_MP_INIT_MULTI_C +# define BN_MP_MOD_2D_C +# define BN_MP_COPY_C +# define BN_MP_RSHD_C +# define BN_MP_MUL_C +# define BN_MP_MUL_2_C +# define BN_MP_ADD_C +# define BN_MP_SUB_C +# define BN_MP_DIV_2_C +# define BN_MP_MUL_2D_C +# define BN_MP_MUL_D_C +# define BN_MP_DIV_3_C +# define BN_MP_LSHD_C +# define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_TOOM_SQR_C) +# define BN_MP_INIT_MULTI_C +# define BN_MP_MOD_2D_C +# define BN_MP_COPY_C +# define BN_MP_RSHD_C +# define BN_MP_SQR_C +# define BN_MP_MUL_2_C +# define BN_MP_ADD_C +# define BN_MP_SUB_C +# define BN_MP_DIV_2_C +# define BN_MP_MUL_2D_C +# define BN_MP_MUL_D_C +# define BN_MP_DIV_3_C +# define BN_MP_LSHD_C +# define BN_MP_CLEAR_MULTI_C +#endif + +#if defined(BN_MP_TORADIX_C) +# define BN_MP_ISZERO_C +# define BN_MP_INIT_COPY_C +# define BN_MP_DIV_D_C +# define BN_MP_CLEAR_C +# define BN_MP_S_RMAP_C +#endif + +#if defined(BN_MP_TORADIX_N_C) +# define BN_MP_ISZERO_C +# define BN_MP_INIT_COPY_C +# define BN_MP_DIV_D_C +# define BN_MP_CLEAR_C +# define BN_MP_S_RMAP_C +#endif + +#if defined(BN_MP_UNSIGNED_BIN_SIZE_C) +# define BN_MP_COUNT_BITS_C +#endif + +#if defined(BN_MP_XOR_C) +# define BN_MP_INIT_COPY_C +# define BN_MP_CLAMP_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_MP_ZERO_C) +#endif + +#if defined(BN_PRIME_TAB_C) +#endif + +#if defined(BN_REVERSE_C) +#endif + +#if defined(BN_S_MP_ADD_C) +# define BN_MP_GROW_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BN_S_MP_EXPTMOD_C) +# define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_C +# define BN_MP_CLEAR_C +# define BN_MP_REDUCE_SETUP_C +# define BN_MP_REDUCE_C +# define BN_MP_REDUCE_2K_SETUP_L_C +# define BN_MP_REDUCE_2K_L_C +# define BN_MP_MOD_C +# define BN_MP_COPY_C +# define BN_MP_SQR_C +# define BN_MP_MUL_C +# define BN_MP_SET_C +# define BN_MP_EXCH_C +#endif + +#if defined(BN_S_MP_MUL_DIGS_C) +# define BN_FAST_S_MP_MUL_DIGS_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_CLAMP_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_S_MP_MUL_HIGH_DIGS_C) +# define BN_FAST_S_MP_MUL_HIGH_DIGS_C +# define BN_MP_INIT_SIZE_C +# define BN_MP_CLAMP_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_S_MP_SQR_C) +# define BN_MP_INIT_SIZE_C +# define BN_MP_CLAMP_C +# define BN_MP_EXCH_C +# define BN_MP_CLEAR_C +#endif + +#if defined(BN_S_MP_SUB_C) +# define BN_MP_GROW_C +# define BN_MP_CLAMP_C +#endif + +#if defined(BNCORE_C) +#endif + +#ifdef LTM3 +# define LTM_LAST +#endif + +#include +#include +#else +# define LTM_LAST +#endif + +/* ref: tag: v1.1.0, master */ +/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ +/* commit time: 2019-01-28 20:32:32 +0100 */ diff --git a/include/cyclone/cyclone_bignum_superclass.h b/include/cyclone/cyclone_bignum_superclass.h new file mode 100644 index 00000000..06b86ef4 --- /dev/null +++ b/include/cyclone/cyclone_bignum_superclass.h @@ -0,0 +1,88 @@ +/* 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. + * + * SPDX-License-Identifier: Unlicense + */ + +/* super class file for PK algos */ + +/* default ... include all MPI */ +#define LTM_ALL + +/* RSA only (does not support DH/DSA/ECC) */ +/* #define SC_RSA_1 */ + +/* For reference.... On an Athlon64 optimizing for speed... + + LTM's mpi.o with all functions [striped] is 142KiB in size. + +*/ + +/* Works for RSA only, mpi.o is 68KiB */ +#ifdef SC_RSA_1 +# define BN_MP_SHRINK_C +# define BN_MP_LCM_C +# define BN_MP_PRIME_RANDOM_EX_C +# define BN_MP_INVMOD_C +# define BN_MP_GCD_C +# define BN_MP_MOD_C +# define BN_MP_MULMOD_C +# define BN_MP_ADDMOD_C +# define BN_MP_EXPTMOD_C +# define BN_MP_SET_INT_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_CLEAR_MULTI_C +# define BN_MP_UNSIGNED_BIN_SIZE_C +# define BN_MP_TO_UNSIGNED_BIN_C +# define BN_MP_MOD_D_C +# define BN_MP_PRIME_RABIN_MILLER_TRIALS_C +# define BN_REVERSE_C +# define BN_PRIME_TAB_C + +/* other modifiers */ +# define BN_MP_DIV_SMALL /* Slower division, not critical */ + +/* here we are on the last pass so we turn things off. The functions classes are still there + * but we remove them specifically from the build. This also invokes tweaks in functions + * like removing support for even moduli, etc... + */ +# ifdef LTM_LAST +# undef BN_MP_TOOM_MUL_C +# undef BN_MP_TOOM_SQR_C +# undef BN_MP_KARATSUBA_MUL_C +# undef BN_MP_KARATSUBA_SQR_C +# undef BN_MP_REDUCE_C +# undef BN_MP_REDUCE_SETUP_C +# undef BN_MP_DR_IS_MODULUS_C +# undef BN_MP_DR_SETUP_C +# undef BN_MP_DR_REDUCE_C +# undef BN_MP_REDUCE_IS_2K_C +# undef BN_MP_REDUCE_2K_SETUP_C +# undef BN_MP_REDUCE_2K_C +# undef BN_S_MP_EXPTMOD_C +# undef BN_MP_DIV_3_C +# undef BN_S_MP_MUL_HIGH_DIGS_C +# undef BN_FAST_S_MP_MUL_HIGH_DIGS_C +# undef BN_FAST_MP_INVMOD_C + +/* To safely undefine these you have to make sure your RSA key won't exceed the Comba threshold + * which is roughly 255 digits [7140 bits for 32-bit machines, 15300 bits for 64-bit machines] + * which means roughly speaking you can handle upto 2536-bit RSA keys with these defined without + * trouble. + */ +# undef BN_S_MP_MUL_DIGS_C +# undef BN_S_MP_SQR_C +# undef BN_MP_MONTGOMERY_REDUCE_C +# endif + +#endif + +/* ref: tag: v1.1.0, master */ +/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ +/* commit time: 2019-01-28 20:32:32 +0100 */