22 #ifndef MBEDTLS_BIGNUM_H
23 #define MBEDTLS_BIGNUM_H
31 #if defined(MBEDTLS_FS_IO)
36 #define MBEDTLS_ERR_MPI_FILE_IO_ERROR -0x0002
38 #define MBEDTLS_ERR_MPI_BAD_INPUT_DATA -0x0004
40 #define MBEDTLS_ERR_MPI_INVALID_CHARACTER -0x0006
42 #define MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL -0x0008
44 #define MBEDTLS_ERR_MPI_NEGATIVE_VALUE -0x000A
46 #define MBEDTLS_ERR_MPI_DIVISION_BY_ZERO -0x000C
48 #define MBEDTLS_ERR_MPI_NOT_ACCEPTABLE -0x000E
50 #define MBEDTLS_ERR_MPI_ALLOC_FAILED -0x0010
52 #define MBEDTLS_MPI_CHK(f) \
55 if ((ret = (f)) != 0) \
62 #define MBEDTLS_MPI_MAX_LIMBS 10000
64 #if !defined(MBEDTLS_MPI_WINDOW_SIZE)
74 #define MBEDTLS_MPI_WINDOW_SIZE 2
77 #if !defined(MBEDTLS_MPI_MAX_SIZE)
85 #define MBEDTLS_MPI_MAX_SIZE 1024
88 #define MBEDTLS_MPI_MAX_BITS (8 * MBEDTLS_MPI_MAX_SIZE)
108 #define MBEDTLS_MPI_MAX_BITS_SCALE100 (100 * MBEDTLS_MPI_MAX_BITS)
109 #define MBEDTLS_LN_2_DIV_LN_10_SCALE100 332
110 #define MBEDTLS_MPI_RW_BUFFER_SIZE (((MBEDTLS_MPI_MAX_BITS_SCALE100 + \
111 MBEDTLS_LN_2_DIV_LN_10_SCALE100 - 1) / \
112 MBEDTLS_LN_2_DIV_LN_10_SCALE100) + 10 + 6)
124 #if !defined(MBEDTLS_HAVE_INT32)
125 #if defined(_MSC_VER) && defined(_M_AMD64)
127 #if !defined(MBEDTLS_HAVE_INT64)
128 #define MBEDTLS_HAVE_INT64
132 #define MBEDTLS_MPI_UINT_MAX UINT64_MAX
133 #elif defined(__GNUC__) && ( \
134 defined(__amd64__) || defined(__x86_64__) || \
135 defined(__ppc64__) || defined(__powerpc64__) || \
136 defined(__ia64__) || defined(__alpha__) || \
137 (defined(__sparc__) && defined(__arch64__)) || \
138 defined(__s390x__) || defined(__mips64) || \
139 defined(__aarch64__))
140 #if !defined(MBEDTLS_HAVE_INT64)
141 #define MBEDTLS_HAVE_INT64
145 #define MBEDTLS_MPI_UINT_MAX UINT64_MAX
146 #if !defined(MBEDTLS_NO_UDBL_DIVISION)
149 #define MBEDTLS_HAVE_UDBL
151 #elif defined(__ARMCC_VERSION) && defined(__aarch64__)
156 #if !defined(MBEDTLS_HAVE_INT64)
157 #define MBEDTLS_HAVE_INT64
161 #define MBEDTLS_MPI_UINT_MAX UINT64_MAX
162 #if !defined(MBEDTLS_NO_UDBL_DIVISION)
165 #define MBEDTLS_HAVE_UDBL
167 #elif defined(MBEDTLS_HAVE_INT64)
171 #define MBEDTLS_MPI_UINT_MAX UINT64_MAX
175 #if !defined(MBEDTLS_HAVE_INT64)
177 #if !defined(MBEDTLS_HAVE_INT32)
178 #define MBEDTLS_HAVE_INT32
182 #define MBEDTLS_MPI_UINT_MAX UINT32_MAX
183 #if !defined(MBEDTLS_NO_UDBL_DIVISION)
185 #define MBEDTLS_HAVE_UDBL
193 #if (!(defined(MBEDTLS_HAVE_INT32) || defined(MBEDTLS_HAVE_INT64))) || \
194 (defined(MBEDTLS_HAVE_INT32) && defined(MBEDTLS_HAVE_INT64))
195 #error "Only 32-bit or 64-bit limbs are supported in bignum"
247 #if MBEDTLS_MPI_MAX_LIMBS > 65535
248 #error "MBEDTLS_MPI_MAX_LIMBS > 65535 is not supported"
505 char *buf,
size_t buflen,
size_t *olen);
507 #if defined(MBEDTLS_FS_IO)
547 int radix, FILE *fout);
578 const unsigned char *buf,
size_t buflen);
614 unsigned char *buf,
size_t buflen);
943 int (*f_rng)(
void *,
unsigned char *,
size_t),
981 int (*f_rng)(
void *,
unsigned char *,
size_t),
1045 int (*f_rng)(
void *,
unsigned char *,
size_t),
1078 int (*f_rng)(
void *,
unsigned char *,
size_t),
1081 #if defined(MBEDTLS_SELF_TEST)
int mbedtls_mpi_read_string(mbedtls_mpi *X, int radix, const char *s)
Import an MPI from an ASCII string.
int mbedtls_mpi_sub_mpi(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform a signed subtraction of MPIs: X = A - B.
int mbedtls_mpi_sub_int(mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_sint b)
Perform a signed subtraction of an MPI and an integer: X = A - b.
int mbedtls_mpi_add_int(mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_sint b)
Perform a signed addition of an MPI and an integer: X = A + b.
int mbedtls_mpi_safe_cond_swap(mbedtls_mpi *X, mbedtls_mpi *Y, unsigned char swap)
Perform a safe conditional swap which doesn't reveal whether the condition was true or not.
int mbedtls_mpi_read_binary_le(mbedtls_mpi *X, const unsigned char *buf, size_t buflen)
Import X from unsigned binary data, little endian.
int mbedtls_mpi_grow(mbedtls_mpi *X, size_t nblimbs)
Enlarge an MPI to the specified number of limbs.
int mbedtls_mpi_exp_mod(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *E, const mbedtls_mpi *N, mbedtls_mpi *prec_RR)
Perform a sliding-window exponentiation: X = A^E mod N.
int mbedtls_mpi_is_prime_ext(const mbedtls_mpi *X, int rounds, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
Miller-Rabin primality test.
int32_t mbedtls_mpi_sint
The signed type corresponding to mbedtls_mpi_uint.
int mbedtls_mpi_copy(mbedtls_mpi *X, const mbedtls_mpi *Y)
Make a copy of an MPI.
int mbedtls_mpi_set_bit(mbedtls_mpi *X, size_t pos, unsigned char val)
Modify a specific bit in an MPI.
int mbedtls_mpi_mod_int(mbedtls_mpi_uint *r, const mbedtls_mpi *A, mbedtls_mpi_sint b)
Perform a modular reduction with respect to an integer. r = A mod b.
mbedtls_mpi_gen_prime_flag_t
Flags for mbedtls_mpi_gen_prime()
@ MBEDTLS_MPI_GEN_PRIME_FLAG_DH
@ MBEDTLS_MPI_GEN_PRIME_FLAG_LOW_ERR
size_t mbedtls_mpi_size(const mbedtls_mpi *X)
Return the total size of an MPI value in bytes.
int mbedtls_mpi_write_binary_le(const mbedtls_mpi *X, unsigned char *buf, size_t buflen)
Export X into unsigned binary data, little endian. Always fills the whole buffer, which will end with...
int mbedtls_mpi_add_abs(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform an unsigned addition of MPIs: X = |A| + |B|.
int mbedtls_mpi_div_mpi(mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform a division with remainder of two MPIs: A = Q * B + R.
int mbedtls_mpi_add_mpi(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform a signed addition of MPIs: X = A + B.
void mbedtls_mpi_swap(mbedtls_mpi *X, mbedtls_mpi *Y)
Swap the contents of two MPIs.
int mbedtls_mpi_safe_cond_assign(mbedtls_mpi *X, const mbedtls_mpi *Y, unsigned char assign)
Perform a safe conditional copy of MPI which doesn't reveal whether the condition was true or not.
int mbedtls_mpi_lset(mbedtls_mpi *X, mbedtls_mpi_sint z)
Store integer value in MPI.
size_t mbedtls_mpi_bitlen(const mbedtls_mpi *X)
Return the number of bits up to and including the most significant bit of value 1.
int mbedtls_mpi_read_binary(mbedtls_mpi *X, const unsigned char *buf, size_t buflen)
Import an MPI from unsigned big endian binary data.
int mbedtls_mpi_self_test(int verbose)
Checkup routine.
int mbedtls_mpi_cmp_mpi(const mbedtls_mpi *X, const mbedtls_mpi *Y)
Compare two MPIs.
int mbedtls_mpi_mod_mpi(mbedtls_mpi *R, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform a modular reduction. R = A mod B.
int mbedtls_mpi_div_int(mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A, mbedtls_mpi_sint b)
Perform a division with remainder of an MPI by an integer: A = Q * b + R.
int mbedtls_mpi_fill_random(mbedtls_mpi *X, size_t size, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
Fill an MPI with a number of random bytes.
int mbedtls_mpi_cmp_abs(const mbedtls_mpi *X, const mbedtls_mpi *Y)
Compare the absolute values of two MPIs.
int mbedtls_mpi_gen_prime(mbedtls_mpi *X, size_t nbits, int flags, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
Generate a prime number.
int mbedtls_mpi_shift_l(mbedtls_mpi *X, size_t count)
Perform a left-shift on an MPI: X <<= count.
void mbedtls_mpi_init(mbedtls_mpi *X)
Initialize an MPI context.
size_t mbedtls_mpi_lsb(const mbedtls_mpi *X)
Return the number of bits of value 0 before the least significant bit of value 1.
int mbedtls_mpi_mul_mpi(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform a multiplication of two MPIs: X = A * B.
uint32_t mbedtls_mpi_uint
The type of machine digits in a bignum, called limbs.
int mbedtls_mpi_write_string(const mbedtls_mpi *X, int radix, char *buf, size_t buflen, size_t *olen)
Export an MPI to an ASCII string.
int mbedtls_mpi_write_file(const char *p, const mbedtls_mpi *X, int radix, FILE *fout)
Export an MPI into an opened file.
int mbedtls_mpi_shrink(mbedtls_mpi *X, size_t nblimbs)
This function resizes an MPI downwards, keeping at least the specified number of limbs.
int mbedtls_mpi_inv_mod(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *N)
Compute the modular inverse: X = A^-1 mod N.
int mbedtls_mpi_get_bit(const mbedtls_mpi *X, size_t pos)
Get a specific bit from an MPI.
void mbedtls_mpi_free(mbedtls_mpi *X)
This function frees the components of an MPI context.
int mbedtls_mpi_mul_int(mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_uint b)
Perform a multiplication of an MPI with an unsigned integer: X = A * b.
int mbedtls_mpi_lt_mpi_ct(const mbedtls_mpi *X, const mbedtls_mpi *Y, unsigned *ret)
Check if an MPI is less than the other in constant time.
int mbedtls_mpi_read_file(mbedtls_mpi *X, int radix, FILE *fin)
Read an MPI from a line in an opened file.
int mbedtls_mpi_write_binary(const mbedtls_mpi *X, unsigned char *buf, size_t buflen)
Export X into unsigned binary data, big endian. Always fills the whole buffer, which will start with ...
int mbedtls_mpi_cmp_int(const mbedtls_mpi *X, mbedtls_mpi_sint z)
Compare an MPI with an integer.
int mbedtls_mpi_sub_abs(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform an unsigned subtraction of MPIs: X = |A| - |B|.
int mbedtls_mpi_random(mbedtls_mpi *X, mbedtls_mpi_sint min, const mbedtls_mpi *N, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
int mbedtls_mpi_shift_r(mbedtls_mpi *X, size_t count)
Perform a right-shift on an MPI: X >>= count.
int mbedtls_mpi_gcd(mbedtls_mpi *G, const mbedtls_mpi *A, const mbedtls_mpi *B)
Compute the greatest common divisor: G = gcd(A, B)
struct mbedtls_mpi mbedtls_mpi
MPI structure.
Build-time configuration info.
Macro wrapper for struct's members.
#define MBEDTLS_PRIVATE(member)