/* LibTomMath, multiple-precision integer library -- Tom St Denis */ /* SPDX-License-Identifier: Unlicense */ /* Modifications Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. */ #ifndef AMPLIFY_BN_H_ #define AMPLIFY_BN_H_ #include #include #include #ifdef LTM_NO_FILE # warning LTM_NO_FILE has been deprecated, use AMPLIFY_MP_NO_FILE. # define AMPLIFY_MP_NO_FILE #endif #ifndef AMPLIFY_MP_NO_FILE # include #endif #ifdef AMPLIFY_MP_8BIT # ifdef _MSC_VER # pragma message("8-bit (AMPLIFY_MP_8BIT) support is deprecated and will be dropped completely in the next version.") # else # warning "8-bit (AMPLIFY_MP_8BIT) support is deprecated and will be dropped completely in the next version." # endif #endif #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__)) && !defined(AMPLIFY_MP_64BIT) # define AMPLIFY_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(AMPLIFY_MP_64BIT) || defined(AMPLIFY_MP_32BIT) || defined(AMPLIFY_MP_16BIT) || defined(AMPLIFY_MP_8BIT)) # if defined(__GNUC__) && !defined(__hppa) /* we support 128bit integers only via: __attribute__((mode(TI))) */ # define AMPLIFY_MP_64BIT # else /* otherwise we fall back to AMPLIFY_MP_32BIT even on 64bit platforms */ # define AMPLIFY_MP_32BIT # endif # endif #endif #ifdef AMPLIFY_MP_DIGIT_BIT # error Defining AMPLIFY_MP_DIGIT_BIT is disallowed, use AMPLIFY_MP_8/16/31/32/64BIT #endif /* some default configurations. * * A "amplify_mp_digit" must be able to hold AMPLIFY_MP_DIGIT_BIT + 1 bits * A "amplify_mp_word" must be able to hold 2*AMPLIFY_MP_DIGIT_BIT + 1 bits * * At the very least a amplify_mp_digit must be able to hold 7 bits * [any size beyond that is ok provided it doesn't overflow the data type] */ #ifdef AMPLIFY_MP_8BIT typedef uint8_t amplify_mp_digit; typedef uint16_t private_mp_word; # define AMPLIFY_MP_DIGIT_BIT 7 #elif defined(AMPLIFY_MP_16BIT) typedef uint16_t amplify_mp_digit; typedef uint32_t private_mp_word; # define AMPLIFY_MP_DIGIT_BIT 15 #elif defined(AMPLIFY_MP_64BIT) /* for GCC only on supported platforms */ typedef uint64_t amplify_mp_digit; #if defined(__GNUC__) typedef unsigned long private_mp_word __attribute__((mode(TI))); #endif # define AMPLIFY_MP_DIGIT_BIT 60 #else typedef uint32_t amplify_mp_digit; typedef uint64_t private_mp_word; # ifdef AMPLIFY_MP_31BIT /* * This is an extension that uses 31-bit digits. * Please be aware that not all functions support this size, especially amplify_s_mp_mul_digs_fast * will be reduced to work on small numbers only: * Up to 8 limbs, 248 bits instead of up to 512 limbs, 15872 bits with AMPLIFY_MP_28BIT. */ # define AMPLIFY_MP_DIGIT_BIT 31 # else /* default case is 28-bit digits, defines AMPLIFY_MP_28BIT as a handy macro to test */ # define AMPLIFY_MP_DIGIT_BIT 28 # define AMPLIFY_MP_28BIT # endif #endif /* amplify_mp_word is a private type */ #define amplify_mp_word AMPLIFY_MP_DEPRECATED_PRAGMA("amplify_mp_word has been made private") private_mp_word #define AMPLIFY_MP_SIZEOF_MP_DIGIT (AMPLIFY_MP_DEPRECATED_PRAGMA("AMPLIFY_MP_SIZEOF_MP_DIGIT has been deprecated, use sizeof (amplify_mp_digit)") sizeof (amplify_mp_digit)) #define AMPLIFY_MP_MASK ((((amplify_mp_digit)1)<<((amplify_mp_digit)AMPLIFY_MP_DIGIT_BIT))-((amplify_mp_digit)1)) #define AMPLIFY_MP_DIGIT_MAX AMPLIFY_MP_MASK /* Primality generation flags */ #define AMPLIFY_MP_PRIME_BBS 0x0001 /* BBS style prime */ #define AMPLIFY_MP_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */ #define AMPLIFY_MP_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */ #define LTM_PRIME_BBS (AMPLIFY_MP_DEPRECATED_PRAGMA("LTM_PRIME_BBS has been deprecated, use AMPLIFY_MP_PRIME_BBS") AMPLIFY_MP_PRIME_BBS) #define LTM_PRIME_SAFE (AMPLIFY_MP_DEPRECATED_PRAGMA("LTM_PRIME_SAFE has been deprecated, use AMPLIFY_MP_PRIME_SAFE") AMPLIFY_MP_PRIME_SAFE) #define LTM_PRIME_2MSB_ON (AMPLIFY_MP_DEPRECATED_PRAGMA("LTM_PRIME_2MSB_ON has been deprecated, use AMPLIFY_MP_PRIME_2MSB_ON") AMPLIFY_MP_PRIME_2MSB_ON) #ifdef AMPLIFY_MP_USE_ENUMS typedef enum { AMPLIFY_MP_ZPOS = 0, /* positive */ AMPLIFY_MP_NEG = 1 /* negative */ } amplify_mp_sign; typedef enum { AMPLIFY_MP_LT = -1, /* less than */ AMPLIFY_MP_EQ = 0, /* equal */ AMPLIFY_MP_GT = 1 /* greater than */ } amplify_mp_ord; typedef enum { AMPLIFY_MP_NO = 0, AMPLIFY_MP_YES = 1 } amplify_mp_bool; typedef enum { AMPLIFY_MP_OKAY = 0, /* no error */ AMPLIFY_MP_ERR = -1, /* unknown error */ AMPLIFY_MP_MEM = -2, /* out of mem */ AMPLIFY_MP_VAL = -3, /* invalid input */ AMPLIFY_MP_ITER = -4, /* maximum iterations reached */ AMPLIFY_MP_BUF = -5 /* buffer overflow, supplied buffer too small */ } amplify_mp_err; typedef enum { AMPLIFY_MP_LSB_FIRST = -1, AMPLIFY_MP_MSB_FIRST = 1 } amplify_mp_order; typedef enum { AMPLIFY_MP_LITTLE_ENDIAN = -1, AMPLIFY_MP_NATIVE_ENDIAN = 0, AMPLIFY_MP_BIG_ENDIAN = 1 } amplify_mp_endian; #else typedef int amplify_mp_sign; #define AMPLIFY_MP_ZPOS 0 /* positive integer */ #define AMPLIFY_MP_NEG 1 /* negative */ typedef int amplify_mp_ord; #define AMPLIFY_MP_LT -1 /* less than */ #define AMPLIFY_MP_EQ 0 /* equal to */ #define AMPLIFY_MP_GT 1 /* greater than */ typedef int amplify_mp_bool; #define AMPLIFY_MP_YES 1 #define AMPLIFY_MP_NO 0 typedef int amplify_mp_err; #define AMPLIFY_MP_OKAY 0 /* no error */ #define AMPLIFY_MP_ERR -1 /* unknown error */ #define AMPLIFY_MP_MEM -2 /* out of mem */ #define AMPLIFY_MP_VAL -3 /* invalid input */ #define AMPLIFY_MP_RANGE (AMPLIFY_MP_DEPRECATED_PRAGMA("AMPLIFY_MP_RANGE has been deprecated in favor of AMPLIFY_MP_VAL") AMPLIFY_MP_VAL) #define AMPLIFY_MP_ITER -4 /* maximum iterations reached */ #define AMPLIFY_MP_BUF -5 /* buffer overflow, supplied buffer too small */ typedef int amplify_mp_order; #define AMPLIFY_MP_LSB_FIRST -1 #define AMPLIFY_MP_MSB_FIRST 1 typedef int amplify_mp_endian; #define AMPLIFY_MP_LITTLE_ENDIAN -1 #define AMPLIFY_MP_NATIVE_ENDIAN 0 #define AMPLIFY_MP_BIG_ENDIAN 1 #endif /* tunable cutoffs */ #ifndef AMPLIFY_MP_FIXED_CUTOFFS extern int AMPLIFY_KARATSUBA_MUL_CUTOFF, AMPLIFY_KARATSUBA_SQR_CUTOFF, AMPLIFY_TOOM_MUL_CUTOFF, AMPLIFY_TOOM_SQR_CUTOFF; #endif /* define this to use lower memory usage routines (exptmods mostly) */ /* #define AMPLIFY_MP_LOW_MEM */ /* default precision */ #ifndef AMPLIFY_MP_PREC # ifndef AMPLIFY_MP_LOW_MEM # define PRIVATE_MP_PREC 32 /* default digits of precision */ # elif defined(AMPLIFY_MP_8BIT) # define PRIVATE_MP_PREC 16 /* default digits of precision */ # else # define PRIVATE_MP_PREC 8 /* default digits of precision */ # endif # define AMPLIFY_MP_PREC (AMPLIFY_MP_DEPRECATED_PRAGMA("AMPLIFY_MP_PREC is an internal macro") PRIVATE_MP_PREC) #endif /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ #define PRIVATE_AMPLIFY_MP_WARRAY (int)(1uLL << (((CHAR_BIT * sizeof(private_mp_word)) - (2 * AMPLIFY_MP_DIGIT_BIT)) + 1)) #define AMPLIFY_MP_WARRAY (AMPLIFY_MP_DEPRECATED_PRAGMA("AMPLIFY_MP_WARRAY is an internal macro") PRIVATE_AMPLIFY_MP_WARRAY) #if defined(__GNUC__) && __GNUC__ >= 4 # define AMPLIFY_MP_NULL_TERMINATED __attribute__((sentinel)) #else # define AMPLIFY_MP_NULL_TERMINATED #endif /* * AMPLIFY_MP_WUR - warn unused result * --------------------------- * * The result of functions annotated with AMPLIFY_MP_WUR must be * checked and cannot be ignored. * * Most functions in libtommath return an error code. * This error code must be checked in order to prevent crashes or invalid * results. * * If you still want to avoid the error checks for quick and dirty programs * without robustness guarantees, you can `#define AMPLIFY_MP_WUR` before including * tommath.h, disabling the warnings. */ #ifndef AMPLIFY_MP_WUR # if defined(__GNUC__) && __GNUC__ >= 4 # define AMPLIFY_MP_WUR __attribute__((warn_unused_result)) # else # define AMPLIFY_MP_WUR # endif #endif #if defined(__GNUC__) && (__GNUC__ * 100 + __GNUC_MINOR__ >= 405) # define AMPLIFY_MP_DEPRECATED(x) __attribute__((deprecated("replaced by " #x))) # define PRIVATE_AMPLIFY_MP_DEPRECATED_PRAGMA(s) _Pragma(#s) # define AMPLIFY_MP_DEPRECATED_PRAGMA(s) PRIVATE_AMPLIFY_MP_DEPRECATED_PRAGMA(GCC warning s) #elif defined(_MSC_VER) && _MSC_VER >= 1500 # define AMPLIFY_MP_DEPRECATED(x) __declspec(deprecated("replaced by " #x)) # define AMPLIFY_MP_DEPRECATED_PRAGMA(s) __pragma(message(s)) #else # define AMPLIFY_MP_DEPRECATED(s) # define AMPLIFY_MP_DEPRECATED_PRAGMA(s) #endif #define DIGIT_BIT (AMPLIFY_MP_DEPRECATED_PRAGMA("DIGIT_BIT macro is deprecated, AMPLIFY_MP_DIGIT_BIT instead") AMPLIFY_MP_DIGIT_BIT) #define USED(m) (AMPLIFY_MP_DEPRECATED_PRAGMA("USED macro is deprecated, use z->used instead") (m)->used) #define DIGIT(m, k) (AMPLIFY_MP_DEPRECATED_PRAGMA("DIGIT macro is deprecated, use z->dp instead") (m)->dp[(k)]) #define SIGN(m) (AMPLIFY_MP_DEPRECATED_PRAGMA("SIGN macro is deprecated, use z->sign instead") (m)->sign) /* the infamous amplify_mp_int structure */ typedef struct { int used, alloc; amplify_mp_sign sign; amplify_mp_digit *dp; } amplify_mp_int; /* callback for amplify_mp_prime_random, should fill dst with random bytes and return how many read [upto len] */ typedef int private_amplify_mp_prime_callback(unsigned char *dst, int len, void *dat); typedef private_amplify_mp_prime_callback AMPLIFY_MP_DEPRECATED(amplify_mp_rand_source) ltm_prime_callback; /* error code to char* string */ const char *amplify_mp_error_to_string(amplify_mp_err code) AMPLIFY_MP_WUR; /* ---> init and deinit bignum functions <--- */ /* init a bignum */ amplify_mp_err amplify_mp_init(amplify_mp_int *a) AMPLIFY_MP_WUR; /* free a bignum */ void amplify_mp_clear(amplify_mp_int *a); /* init a null terminated series of arguments */ amplify_mp_err amplify_mp_init_multi(amplify_mp_int *mp, ...) AMPLIFY_MP_NULL_TERMINATED AMPLIFY_MP_WUR; /* clear a null terminated series of arguments */ void amplify_mp_clear_multi(amplify_mp_int *mp, ...) AMPLIFY_MP_NULL_TERMINATED; /* exchange two ints */ void amplify_mp_exch(amplify_mp_int *a, amplify_mp_int *b); /* shrink ram required for a bignum */ amplify_mp_err amplify_mp_shrink(amplify_mp_int *a) AMPLIFY_MP_WUR; /* grow an int to a given size */ amplify_mp_err amplify_mp_grow(amplify_mp_int *a, int size) AMPLIFY_MP_WUR; /* init to a given number of digits */ amplify_mp_err amplify_mp_init_size(amplify_mp_int *a, int size) AMPLIFY_MP_WUR; /* ---> Basic Manipulations <--- */ #define amplify_mp_iszero(a) (((a)->used == 0) ? AMPLIFY_MP_YES : AMPLIFY_MP_NO) amplify_mp_bool amplify_mp_iseven(const amplify_mp_int *a) AMPLIFY_MP_WUR; amplify_mp_bool amplify_mp_isodd(const amplify_mp_int *a) AMPLIFY_MP_WUR; #define amplify_mp_isneg(a) (((a)->sign != AMPLIFY_MP_ZPOS) ? AMPLIFY_MP_YES : AMPLIFY_MP_NO) /* set to zero */ void amplify_mp_zero(amplify_mp_int *a); /* get and set doubles */ double amplify_mp_get_double(const amplify_mp_int *a) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_set_double(amplify_mp_int *a, double b) AMPLIFY_MP_WUR; /* get integer, set integer and init with integer (int32_t) */ int32_t amplify_mp_get_i32(const amplify_mp_int *a) AMPLIFY_MP_WUR; void amplify_mp_set_i32(amplify_mp_int *a, int32_t b); amplify_mp_err amplify_mp_init_i32(amplify_mp_int *a, int32_t b) AMPLIFY_MP_WUR; /* get integer, set integer and init with integer, behaves like two complement for negative numbers (uint32_t) */ #define amplify_mp_get_u32(a) ((uint32_t)amplify_mp_get_i32(a)) void amplify_mp_set_u32(amplify_mp_int *a, uint32_t b); amplify_mp_err amplify_amplify_mp_init_u32(amplify_mp_int *a, uint32_t b) AMPLIFY_MP_WUR; /* get integer, set integer and init with integer (int64_t) */ int64_t amplify_mp_get_i64(const amplify_mp_int *a) AMPLIFY_MP_WUR; void amplify_mp_set_i64(amplify_mp_int *a, int64_t b); amplify_mp_err amplify_mp_init_i64(amplify_mp_int *a, int64_t b) AMPLIFY_MP_WUR; /* get integer, set integer and init with integer, behaves like two complement for negative numbers (uint64_t) */ #define amplify_mp_get_u64(a) ((uint64_t)amplify_mp_get_i64(a)) void amplify_mp_set_u64(amplify_mp_int *a, uint64_t b); amplify_mp_err amplify_mp_init_u64(amplify_mp_int *a, uint64_t b) AMPLIFY_MP_WUR; /* get magnitude */ uint32_t amplify_mp_get_mag_u32(const amplify_mp_int *a) AMPLIFY_MP_WUR; uint64_t amplify_mp_get_mag_u64(const amplify_mp_int *a) AMPLIFY_MP_WUR; unsigned long amplify_mp_get_mag_ul(const amplify_mp_int *a) AMPLIFY_MP_WUR; unsigned long long amplify_mp_get_mag_ull(const amplify_mp_int *a) AMPLIFY_MP_WUR; /* get integer, set integer (long) */ long amplify_mp_get_l(const amplify_mp_int *a) AMPLIFY_MP_WUR; void amplify_mp_set_l(amplify_mp_int *a, long b); amplify_mp_err amplify_mp_init_l(amplify_mp_int *a, long b) AMPLIFY_MP_WUR; /* get integer, set integer (unsigned long) */ #define amplify_mp_get_ul(a) ((unsigned long)amplify_mp_get_l(a)) void amplify_mp_set_ul(amplify_mp_int *a, unsigned long b); amplify_mp_err amplify_mp_init_ul(amplify_mp_int *a, unsigned long b) AMPLIFY_MP_WUR; /* get integer, set integer (long long) */ long long amplify_mp_get_ll(const amplify_mp_int *a) AMPLIFY_MP_WUR; void amplify_mp_set_ll(amplify_mp_int *a, long long b); amplify_mp_err amplify_mp_init_ll(amplify_mp_int *a, long long b) AMPLIFY_MP_WUR; /* get integer, set integer (unsigned long long) */ #define amplify_mp_get_ull(a) ((unsigned long long)amplify_mp_get_ll(a)) void amplify_mp_set_ull(amplify_mp_int *a, unsigned long long b); amplify_mp_err amplify_mp_init_ull(amplify_mp_int *a, unsigned long long b) AMPLIFY_MP_WUR; /* set to single unsigned digit, up to AMPLIFY_MP_DIGIT_MAX */ void amplify_mp_set(amplify_mp_int *a, amplify_mp_digit b); amplify_mp_err amplify_mp_init_set(amplify_mp_int *a, amplify_mp_digit b) AMPLIFY_MP_WUR; /* get integer, set integer and init with integer (deprecated) */ AMPLIFY_MP_DEPRECATED(amplify_mp_get_mag_u32/amplify_mp_get_u32) unsigned long amplify_mp_get_int(const amplify_mp_int *a) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_get_mag_ul/amplify_mp_get_ul) unsigned long amplify_mp_get_long(const amplify_mp_int *a) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_get_mag_ull/amplify_mp_get_ull) unsigned long long amplify_mp_get_long_long(const amplify_mp_int *a) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_set_ul) amplify_mp_err amplify_mp_set_int(amplify_mp_int *a, unsigned long b); AMPLIFY_MP_DEPRECATED(amplify_mp_set_ul) amplify_mp_err amplify_mp_set_long(amplify_mp_int *a, unsigned long b); AMPLIFY_MP_DEPRECATED(amplify_mp_set_ull) amplify_mp_err amplify_mp_set_long_long(amplify_mp_int *a, unsigned long long b); AMPLIFY_MP_DEPRECATED(amplify_mp_init_ul) amplify_mp_err amplify_amplify_mp_init_set_int(amplify_mp_int *a, unsigned long b) AMPLIFY_MP_WUR; /* copy, b = a */ amplify_mp_err amplify_mp_copy(const amplify_mp_int *a, amplify_mp_int *b) AMPLIFY_MP_WUR; /* inits and copies, a = b */ amplify_mp_err amplify_mp_init_copy(amplify_mp_int *a, const amplify_mp_int *b) AMPLIFY_MP_WUR; /* trim unused digits */ void amplify_mp_clamp(amplify_mp_int *a); /* export binary data */ AMPLIFY_MP_DEPRECATED(amplify_mp_pack) amplify_mp_err amplify_mp_export(void *rop, size_t *countp, int order, size_t size, int endian, size_t nails, const amplify_mp_int *op) AMPLIFY_MP_WUR; /* import binary data */ AMPLIFY_MP_DEPRECATED(amplify_mp_unpack) amplify_mp_err amplify_mp_import(amplify_mp_int *rop, size_t count, int order, size_t size, int endian, size_t nails, const void *op) AMPLIFY_MP_WUR; /* unpack binary data */ amplify_mp_err amplify_mp_unpack(amplify_mp_int *rop, size_t count, amplify_mp_order order, size_t size, amplify_mp_endian endian, size_t nails, const void *op) AMPLIFY_MP_WUR; /* pack binary data */ size_t amplify_mp_pack_count(const amplify_mp_int *a, size_t nails, size_t size) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_pack(void *rop, size_t maxcount, size_t *written, amplify_mp_order order, size_t size, amplify_mp_endian endian, size_t nails, const amplify_mp_int *op) AMPLIFY_MP_WUR; /* ---> digit manipulation <--- */ /* right shift by "b" digits */ void amplify_mp_rshd(amplify_mp_int *a, int b); /* left shift by "b" digits */ amplify_mp_err amplify_mp_lshd(amplify_mp_int *a, int b) AMPLIFY_MP_WUR; /* c = a / 2**b, implemented as c = a >> b */ amplify_mp_err amplify_mp_div_2d(const amplify_mp_int *a, int b, amplify_mp_int *c, amplify_mp_int *d) AMPLIFY_MP_WUR; /* b = a/2 */ amplify_mp_err amplify_mp_div_2(const amplify_mp_int *a, amplify_mp_int *b) AMPLIFY_MP_WUR; /* a/3 => 3c + d == a */ amplify_mp_err amplify_mp_div_3(const amplify_mp_int *a, amplify_mp_int *c, amplify_mp_digit *d) AMPLIFY_MP_WUR; /* c = a * 2**b, implemented as c = a << b */ amplify_mp_err amplify_mp_mul_2d(const amplify_mp_int *a, int b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* b = a*2 */ amplify_mp_err amplify_mp_mul_2(const amplify_mp_int *a, amplify_mp_int *b) AMPLIFY_MP_WUR; /* c = a mod 2**b */ amplify_mp_err amplify_mp_mod_2d(const amplify_mp_int *a, int b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* computes a = 2**b */ amplify_mp_err amplify_mp_2expt(amplify_mp_int *a, int b) AMPLIFY_MP_WUR; /* Counts the number of lsbs which are zero before the first zero bit */ int amplify_mp_cnt_lsb(const amplify_mp_int *a) AMPLIFY_MP_WUR; /* I Love Earth! */ /* makes a pseudo-random amplify_mp_int of a given size */ amplify_mp_err amplify_mp_rand(amplify_mp_int *a, int digits) AMPLIFY_MP_WUR; /* makes a pseudo-random small int of a given size */ AMPLIFY_MP_DEPRECATED(amplify_mp_rand) amplify_mp_err amplify_mp_rand_digit(amplify_mp_digit *r) AMPLIFY_MP_WUR; /* use custom random data source instead of source provided the platform */ void amplify_mp_rand_source(amplify_mp_err(*source)(void *out, size_t size)); #ifdef AMPLIFY_MP_PRNG_ENABLE_LTM_RNG # warning AMPLIFY_MP_PRNG_ENABLE_LTM_RNG has been deprecated, use amplify_mp_rand_source instead. /* 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 <--- */ /* Checks the bit at position b and returns AMPLIFY_MP_YES * if the bit is 1, AMPLIFY_MP_NO if it is 0 and AMPLIFY_MP_VAL * in case of error */ AMPLIFY_MP_DEPRECATED(amplify_s_mp_get_bit) int amplify_mp_get_bit(const amplify_mp_int *a, int b) AMPLIFY_MP_WUR; /* c = a XOR b (two complement) */ AMPLIFY_MP_DEPRECATED(amplify_mp_xor) amplify_mp_err amplify_mp_tc_xor(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_xor(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* c = a OR b (two complement) */ AMPLIFY_MP_DEPRECATED(amplify_mp_or) amplify_mp_err amplify_mp_tc_or(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_or(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* c = a AND b (two complement) */ AMPLIFY_MP_DEPRECATED(amplify_mp_and) amplify_mp_err amplify_mp_tc_and(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_and(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* b = ~a (bitwise not, two complement) */ amplify_mp_err amplify_mp_complement(const amplify_mp_int *a, amplify_mp_int *b) AMPLIFY_MP_WUR; /* right shift with sign extension */ AMPLIFY_MP_DEPRECATED(amplify_amplify_mp_signed_rsh) amplify_mp_err amplify_mp_tc_div_2d(const amplify_mp_int *a, int b, amplify_mp_int *c) AMPLIFY_MP_WUR; amplify_mp_err amplify_amplify_mp_signed_rsh(const amplify_mp_int *a, int b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* ---> Basic arithmetic <--- */ /* b = -a */ amplify_mp_err amplify_mp_neg(const amplify_mp_int *a, amplify_mp_int *b) AMPLIFY_MP_WUR; /* b = |a| */ amplify_mp_err amplify_mp_abs(const amplify_mp_int *a, amplify_mp_int *b) AMPLIFY_MP_WUR; /* compare a to b */ amplify_mp_ord amplify_mp_cmp(const amplify_mp_int *a, const amplify_mp_int *b) AMPLIFY_MP_WUR; /* compare |a| to |b| */ amplify_mp_ord amplify_mp_cmp_mag(const amplify_mp_int *a, const amplify_mp_int *b) AMPLIFY_MP_WUR; /* c = a + b */ amplify_mp_err amplify_mp_add(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* c = a - b */ amplify_mp_err amplify_mp_sub(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* c = a * b */ amplify_mp_err amplify_mp_mul(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* b = a*a */ amplify_mp_err amplify_mp_sqr(const amplify_mp_int *a, amplify_mp_int *b) AMPLIFY_MP_WUR; /* a/b => cb + d == a */ amplify_mp_err amplify_mp_div(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c, amplify_mp_int *d) AMPLIFY_MP_WUR; /* c = a mod b, 0 <= c < b */ amplify_mp_err amplify_mp_mod(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* Increment "a" by one like "a++". Changes input! */ amplify_mp_err amplify_mp_incr(amplify_mp_int *a) AMPLIFY_MP_WUR; /* Decrement "a" by one like "a--". Changes input! */ amplify_mp_err amplify_mp_decr(amplify_mp_int *a) AMPLIFY_MP_WUR; /* ---> single digit functions <--- */ /* compare against a single digit */ amplify_mp_ord amplify_mp_cmp_d(const amplify_mp_int *a, amplify_mp_digit b) AMPLIFY_MP_WUR; /* c = a + b */ amplify_mp_err amplify_amplify_mp_add_d(const amplify_mp_int *a, amplify_mp_digit b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* c = a - b */ amplify_mp_err amplify_mp_sub_d(const amplify_mp_int *a, amplify_mp_digit b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* c = a * b */ amplify_mp_err amplify_mp_mul_d(const amplify_mp_int *a, amplify_mp_digit b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* a/b => cb + d == a */ amplify_mp_err amplify_mp_div_d(const amplify_mp_int *a, amplify_mp_digit b, amplify_mp_int *c, amplify_mp_digit *d) AMPLIFY_MP_WUR; /* c = a mod b, 0 <= c < b */ amplify_mp_err amplify_mp_mod_d(const amplify_mp_int *a, amplify_mp_digit b, amplify_mp_digit *c) AMPLIFY_MP_WUR; /* ---> number theory <--- */ /* d = a + b (mod c) */ amplify_mp_err amplify_mp_addmod(const amplify_mp_int *a, const amplify_mp_int *b, const amplify_mp_int *c, amplify_mp_int *d) AMPLIFY_MP_WUR; /* d = a - b (mod c) */ amplify_mp_err amplify_mp_submod(const amplify_mp_int *a, const amplify_mp_int *b, const amplify_mp_int *c, amplify_mp_int *d) AMPLIFY_MP_WUR; /* d = a * b (mod c) */ amplify_mp_err amplify_mp_mulmod(const amplify_mp_int *a, const amplify_mp_int *b, const amplify_mp_int *c, amplify_mp_int *d) AMPLIFY_MP_WUR; /* c = a * a (mod b) */ amplify_mp_err amplify_mp_sqrmod(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* c = 1/a (mod b) */ amplify_mp_err amplify_mp_invmod(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* c = (a, b) */ amplify_mp_err amplify_mp_gcd(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* produces value such that U1*a + U2*b = U3 */ amplify_mp_err amplify_mp_exteuclid(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *U1, amplify_mp_int *U2, amplify_mp_int *U3) AMPLIFY_MP_WUR; /* c = [a, b] or (a*b)/(a, b) */ amplify_mp_err amplify_mp_lcm(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_int *c) AMPLIFY_MP_WUR; /* finds one of the b'th root of a, such that |c|**b <= |a| * * returns error if a < 0 and b is even */ amplify_mp_err amplify_mp_root_u32(const amplify_mp_int *a, uint32_t b, amplify_mp_int *c) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_root_u32) amplify_mp_err amplify_mp_n_root(const amplify_mp_int *a, amplify_mp_digit b, amplify_mp_int *c) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_root_u32) amplify_mp_err amplify_amplify_mp_n_root_ex(const amplify_mp_int *a, amplify_mp_digit b, amplify_mp_int *c, int fast) AMPLIFY_MP_WUR; /* special sqrt algo */ amplify_mp_err amplify_mp_sqrt(const amplify_mp_int *arg, amplify_mp_int *ret) AMPLIFY_MP_WUR; /* special sqrt (mod prime) */ amplify_mp_err amplify_mp_sqrtmod_prime(const amplify_mp_int *n, const amplify_mp_int *prime, amplify_mp_int *ret) AMPLIFY_MP_WUR; /* is number a square? */ amplify_mp_err amplify_mp_is_square(const amplify_mp_int *arg, amplify_mp_bool *ret) AMPLIFY_MP_WUR; /* computes the jacobi c = (a | n) (or Legendre if b is prime) */ AMPLIFY_MP_DEPRECATED(amplify_mp_kronecker) amplify_mp_err amplify_mp_jacobi(const amplify_mp_int *a, const amplify_mp_int *n, int *c) AMPLIFY_MP_WUR; /* computes the Kronecker symbol c = (a | p) (like jacobi() but with {a,p} in Z */ amplify_mp_err amplify_mp_kronecker(const amplify_mp_int *a, const amplify_mp_int *p, int *c) AMPLIFY_MP_WUR; /* used to setup the Barrett reduction for a given modulus b */ amplify_mp_err amplify_mp_reduce_setup(amplify_mp_int *a, const amplify_mp_int *b) AMPLIFY_MP_WUR; /* 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 * amplify_mp_reduce(amplify_mp_abs(x)) [pseudo code]. */ amplify_mp_err amplify_mp_reduce(amplify_mp_int *x, const amplify_mp_int *m, const amplify_mp_int *mu) AMPLIFY_MP_WUR; /* setups the montgomery reduction */ amplify_mp_err amplify_mp_montgomery_setup(const amplify_mp_int *n, amplify_mp_digit *rho) AMPLIFY_MP_WUR; /* computes a = B**n mod b without division or multiplication useful for * normalizing numbers in a Montgomery system. */ amplify_mp_err amplify_mp_montgomery_calc_normalization(amplify_mp_int *a, const amplify_mp_int *b) AMPLIFY_MP_WUR; /* computes x/R == x (mod N) via Montgomery Reduction */ amplify_mp_err amplify_mp_montgomery_reduce(amplify_mp_int *x, const amplify_mp_int *n, amplify_mp_digit rho) AMPLIFY_MP_WUR; /* returns 1 if a is a valid DR modulus */ amplify_mp_bool amplify_mp_dr_is_modulus(const amplify_mp_int *a) AMPLIFY_MP_WUR; /* sets the value of "d" required for amplify_mp_dr_reduce */ void amplify_mp_dr_setup(const amplify_mp_int *a, amplify_mp_digit *d); /* reduces a modulo n using the Diminished Radix method */ amplify_mp_err amplify_mp_dr_reduce(amplify_mp_int *x, const amplify_mp_int *n, amplify_mp_digit k) AMPLIFY_MP_WUR; /* returns true if a can be reduced with amplify_mp_reduce_2k */ amplify_mp_bool amplify_mp_reduce_is_2k(const amplify_mp_int *a) AMPLIFY_MP_WUR; /* determines k value for 2k reduction */ amplify_mp_err amplify_mp_reduce_2k_setup(const amplify_mp_int *a, amplify_mp_digit *d) AMPLIFY_MP_WUR; /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ amplify_mp_err amplify_mp_reduce_2k(amplify_mp_int *a, const amplify_mp_int *n, amplify_mp_digit d) AMPLIFY_MP_WUR; /* returns true if a can be reduced with amplify_mp_reduce_2k_l */ amplify_mp_bool amplify_mp_reduce_is_2k_l(const amplify_mp_int *a) AMPLIFY_MP_WUR; /* determines k value for 2k reduction */ amplify_mp_err amplify_mp_reduce_2k_setup_l(const amplify_mp_int *a, amplify_mp_int *d) AMPLIFY_MP_WUR; /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ amplify_mp_err amplify_mp_reduce_2k_l(amplify_mp_int *a, const amplify_mp_int *n, const amplify_mp_int *d) AMPLIFY_MP_WUR; /* Y = G**X (mod P) */ amplify_mp_err amplify_mp_exptmod(const amplify_mp_int *G, const amplify_mp_int *X, const amplify_mp_int *P, amplify_mp_int *Y) AMPLIFY_MP_WUR; /* ---> Primes <--- */ /* number of primes */ #ifdef AMPLIFY_MP_8BIT # define PRIVATE_MP_PRIME_TAB_SIZE 31 #else # define PRIVATE_MP_PRIME_TAB_SIZE 256 #endif #define PRIME_SIZE (AMPLIFY_MP_DEPRECATED_PRAGMA("PRIME_SIZE has been made internal") PRIVATE_MP_PRIME_TAB_SIZE) /* table of first PRIME_SIZE primes */ AMPLIFY_MP_DEPRECATED(internal) extern const amplify_mp_digit ltm_prime_tab[PRIVATE_MP_PRIME_TAB_SIZE]; /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ AMPLIFY_MP_DEPRECATED(amplify_mp_prime_is_prime) amplify_mp_err amplify_mp_prime_is_divisible(const amplify_mp_int *a, amplify_mp_bool *result) AMPLIFY_MP_WUR; /* performs one Fermat test of "a" using base "b". * Sets result to 0 if composite or 1 if probable prime */ amplify_mp_err amplify_mp_prime_fermat(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_bool *result) AMPLIFY_MP_WUR; /* performs one Miller-Rabin test of "a" using base "b". * Sets result to 0 if composite or 1 if probable prime */ amplify_mp_err amplify_mp_prime_miller_rabin(const amplify_mp_int *a, const amplify_mp_int *b, amplify_mp_bool *result) AMPLIFY_MP_WUR; /* 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 amplify_mp_prime_rabin_miller_trials(int size) AMPLIFY_MP_WUR; /* performs one strong Lucas-Selfridge test of "a". * Sets result to 0 if composite or 1 if probable prime */ amplify_mp_err amplify_mp_prime_strong_lucas_selfridge(const amplify_mp_int *a, amplify_mp_bool *result) AMPLIFY_MP_WUR; /* performs one Frobenius test of "a" as described by Paul Underwood. * Sets result to 0 if composite or 1 if probable prime */ amplify_mp_err amplify_mp_prime_frobenius_underwood(const amplify_mp_int *N, amplify_mp_bool *result) AMPLIFY_MP_WUR; /* 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 * amplify_mp_prime_rabin_miller_trials(); * * Sets result to 1 if probably prime, 0 otherwise */ amplify_mp_err amplify_mp_prime_is_prime(const amplify_mp_int *a, int t, amplify_mp_bool *result) AMPLIFY_MP_WUR; /* 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 */ amplify_mp_err amplify_mp_prime_next_prime(amplify_mp_int *a, int t, int bbs_style) AMPLIFY_MP_WUR; /* 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 amplify_mp_prime_random(a, t, size, bbs, cb, dat) (AMPLIFY_MP_DEPRECATED_PRAGMA("amplify_mp_prime_random has been deprecated, use amplify_mp_prime_rand instead") amplify_mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?AMPLIFY_MP_PRIME_BBS:0, cb, dat)) /* makes a truly random prime of a given size (bits), * * Flags are as follows: * * AMPLIFY_MP_PRIME_BBS - make prime congruent to 3 mod 4 * AMPLIFY_MP_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies AMPLIFY_MP_PRIME_BBS) * AMPLIFY_MP_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 * */ AMPLIFY_MP_DEPRECATED(amplify_mp_prime_rand) amplify_mp_err amplify_mp_prime_random_ex(amplify_mp_int *a, int t, int size, int flags, private_amplify_mp_prime_callback cb, void *dat) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_prime_rand(amplify_mp_int *a, int t, int size, int flags) AMPLIFY_MP_WUR; /* Integer logarithm to integer base */ amplify_mp_err amplify_mp_log_u32(const amplify_mp_int *a, uint32_t base, uint32_t *c) AMPLIFY_MP_WUR; /* c = a**b */ amplify_mp_err amplify_mp_expt_u32(const amplify_mp_int *a, uint32_t b, amplify_mp_int *c) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_expt_u32) amplify_mp_err amplify_mp_expt_d(const amplify_mp_int *a, amplify_mp_digit b, amplify_mp_int *c) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_expt_u32) amplify_mp_err amplify_mp_expt_d_ex(const amplify_mp_int *a, amplify_mp_digit b, amplify_mp_int *c, int fast) AMPLIFY_MP_WUR; /* ---> radix conversion <--- */ int amplify_mp_count_bits(const amplify_mp_int *a) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_ubin_size) int amplify_mp_unsigned_bin_size(const amplify_mp_int *a) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_from_ubin) amplify_mp_err amplify_mp_read_unsigned_bin(amplify_mp_int *a, const unsigned char *b, int c) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_to_ubin) amplify_mp_err amplify_mp_to_unsigned_bin(const amplify_mp_int *a, unsigned char *b) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_to_ubin) amplify_mp_err amplify_mp_to_unsigned_bin_n(const amplify_mp_int *a, unsigned char *b, unsigned long *outlen) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_sbin_size) int amplify_amplify_mp_signed_bin_size(const amplify_mp_int *a) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_from_sbin) amplify_mp_err amplify_mp_read_signed_bin(amplify_mp_int *a, const unsigned char *b, int c) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_to_sbin) amplify_mp_err amplify_mp_to_signed_bin(const amplify_mp_int *a, unsigned char *b) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_to_sbin) amplify_mp_err amplify_mp_to_signed_bin_n(const amplify_mp_int *a, unsigned char *b, unsigned long *outlen) AMPLIFY_MP_WUR; size_t amplify_mp_ubin_size(const amplify_mp_int *a) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_from_ubin(amplify_mp_int *a, const unsigned char *buf, size_t size) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_to_ubin(const amplify_mp_int *a, unsigned char *buf, size_t maxlen, size_t *written) AMPLIFY_MP_WUR; size_t amplify_mp_sbin_size(const amplify_mp_int *a) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_from_sbin(amplify_mp_int *a, const unsigned char *buf, size_t size) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_to_sbin(const amplify_mp_int *a, unsigned char *buf, size_t maxlen, size_t *written) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_read_radix(amplify_mp_int *a, const char *str, int radix) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_to_radix) amplify_mp_err amplify_mp_toradix(const amplify_mp_int *a, char *str, int radix) AMPLIFY_MP_WUR; AMPLIFY_MP_DEPRECATED(amplify_mp_to_radix) amplify_mp_err amplify_amplify_mp_toradix_n(const amplify_mp_int *a, char *str, int radix, int maxlen) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_to_radix(const amplify_mp_int *a, char *str, size_t maxlen, size_t *written, int radix) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_radix_size(const amplify_mp_int *a, int radix, int *size) AMPLIFY_MP_WUR; #ifndef AMPLIFY_MP_NO_FILE amplify_mp_err amplify_mp_fread(amplify_mp_int *a, int radix, FILE *stream) AMPLIFY_MP_WUR; amplify_mp_err amplify_mp_fwrite(const amplify_mp_int *a, int radix, FILE *stream) AMPLIFY_MP_WUR; #endif #define amplify_mp_read_raw(mp, str, len) (AMPLIFY_MP_DEPRECATED_PRAGMA("replaced by amplify_mp_read_signed_bin") amplify_mp_read_signed_bin((mp), (str), (len))) #define amplify_mp_raw_size(mp) (AMPLIFY_MP_DEPRECATED_PRAGMA("replaced by amplify_amplify_mp_signed_bin_size") amplify_amplify_mp_signed_bin_size(mp)) #define amplify_mp_toraw(mp, str) (AMPLIFY_MP_DEPRECATED_PRAGMA("replaced by amplify_mp_to_signed_bin") amplify_mp_to_signed_bin((mp), (str))) #define amplify_mp_read_mag(mp, str, len) (AMPLIFY_MP_DEPRECATED_PRAGMA("replaced by amplify_mp_read_unsigned_bin") amplify_mp_read_unsigned_bin((mp), (str), (len)) #define amplify_mp_mag_size(mp) (AMPLIFY_MP_DEPRECATED_PRAGMA("replaced by amplify_mp_unsigned_bin_size") amplify_mp_unsigned_bin_size(mp)) #define amplify_mp_tomag(mp, str) (AMPLIFY_MP_DEPRECATED_PRAGMA("replaced by amplify_mp_to_unsigned_bin") amplify_mp_to_unsigned_bin((mp), (str))) #define amplify_mp_tobinary(M, S) (AMPLIFY_MP_DEPRECATED_PRAGMA("replaced by amplify_mp_to_binary") amplify_mp_toradix((M), (S), 2)) #define amplify_mp_tooctal(M, S) (AMPLIFY_MP_DEPRECATED_PRAGMA("replaced by amplify_mp_to_octal") amplify_mp_toradix((M), (S), 8)) #define amplify_mp_todecimal(M, S) (AMPLIFY_MP_DEPRECATED_PRAGMA("replaced by amplify_mp_to_decimal") amplify_mp_toradix((M), (S), 10)) #define amplify_mp_tohex(M, S) (AMPLIFY_MP_DEPRECATED_PRAGMA("replaced by amplify_mp_to_hex") amplify_mp_toradix((M), (S), 16)) #define amplify_mp_to_binary(M, S, N) amplify_mp_to_radix((M), (S), (N), NULL, 2) #define amplify_mp_to_octal(M, S, N) amplify_mp_to_radix((M), (S), (N), NULL, 8) #define amplify_mp_to_decimal(M, S, N) amplify_mp_to_radix((M), (S), (N), NULL, 10) #define amplify_mp_to_hex(M, S, N) amplify_mp_to_radix((M), (S), (N), NULL, 16) #ifdef __cplusplus } #endif #endif