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moducrypto.c
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/*
* This file is part of the Micro Python project, http://micropython.org/
*
* The MIT License (MIT)
*
* Copyright (c) 2019-2025 Damiano Mazzella
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*/
#include <assert.h>
#include <stdarg.h>
#include <stdint.h>
#include <stdio.h>
#include <string.h>
#include "py/nlr.h"
#include "py/obj.h"
#include "py/objstr.h"
#include "py/objint.h"
#include "py/objtuple.h"
#include "py/objlist.h"
#include "py/objtype.h"
#include "py/parsenum.h"
#include "py/stream.h"
#include "py/runtime.h"
#include "tomsfastmath/tfm_mpi.h"
#define ERROR_ODD_LEN MP_ERROR_TEXT("odd-length string")
#define ERROR_NON_HEX MP_ERROR_TEXT("non-hex digit found")
#define ERROR_ODD_MODULUS MP_ERROR_TEXT("'exptmod' need odd modulus, set 'safe' or use 'fast_pow'")
#define ERROR_NUM_BITS MP_ERROR_TEXT("number of bits to generate must be in range 16-4096, not %lu bits")
#define ERROR_PRIME_LEN MP_ERROR_TEXT("Prime is %d, not %lu bits")
#define ERROR_EXPECTED_INT MP_ERROR_TEXT("expected a int, but %s found")
#define ERROR_EXPECTED_SIGNATURES MP_ERROR_TEXT("expected two Signature's")
#define ERROR_EXPECTED_CURVES MP_ERROR_TEXT("expected two Curve's")
#define ERROR_LEFT_EXPECTED_CURVE MP_ERROR_TEXT("left must be a Curve")
#define ERROR_RIGHT_EXPECTED_POINT MP_ERROR_TEXT("right must be a Point")
#define ERROR_EXPECTED_POINT_BUT MP_ERROR_TEXT("expected a Point, but %s found")
#define ERROR_EXPECTED_STR_BYTES_BUT MP_ERROR_TEXT("expected a str/bytes, but %s found")
#define ERROR_EXPECTED_POINT_AT_BUT MP_ERROR_TEXT("arg at index %d expected a Point, but %s found")
#define ERROR_EXPECTED_CURVE_AT_BUT MP_ERROR_TEXT("arg at index %d expected a Curve, but %s found")
#define ERROR_EXPECTED_INT_AT_BUT MP_ERROR_TEXT("arg at index %d expected a int, but %s found")
#define ERROR_EXPECTED_SIGNATURE_AT_BUT MP_ERROR_TEXT("arg at index %d expected a Signature, but %s found")
#define ERROR_EXPECTED_CURVE_BUT MP_ERROR_TEXT("expected a Curve, but %s found")
#define ERROR_EXPECTED_POINTS MP_ERROR_TEXT("expected two Point's")
#define ERROR_CURVE_OF_POINTS_NOT_EQUAL MP_ERROR_TEXT("curve of two Point's must be the same")
#define ERROR_LEFT_EXPECTED_POINT MP_ERROR_TEXT("left must be a Point")
#define ERROR_RIGHT_EXPECTED_INT MP_ERROR_TEXT("right must be a int")
#define ERROR_MEMORY MP_ERROR_TEXT("memory allocation failed, allocating %u bytes")
static vstr_t *vstr_unhexlify(vstr_t *vstr_out, const byte *in, size_t in_len)
{
if ((in_len & 1) != 0)
{
mp_raise_ValueError(ERROR_ODD_LEN);
}
vstr_init_len(vstr_out, in_len / 2);
byte *out = (byte *)vstr_str(vstr_out);
byte hex_byte = 0;
for (size_t i = in_len; i--;)
{
byte hex_ch = *in++;
if (unichar_isxdigit(hex_ch))
{
hex_byte += unichar_xdigit_value(hex_ch);
}
else
{
mp_raise_ValueError(ERROR_NON_HEX);
}
if (i & 1)
{
hex_byte <<= 4;
}
else
{
*out++ = hex_byte;
hex_byte = 0;
}
}
return vstr_out;
}
static vstr_t *vstr_hexlify(vstr_t *vstr_out, const byte *in, size_t in_len)
{
vstr_init(vstr_out, in_len);
if (in != NULL && in_len)
{
for (size_t i = in_len; i--;)
{
byte d = (*in >> 4);
if (d > 9)
{
d += 'a' - '9' - 1;
}
vstr_add_char(vstr_out, d + '0');
d = (*in++ & 0xf);
if (d > 9)
{
d += 'a' - '9' - 1;
}
vstr_add_char(vstr_out, d + '0');
}
}
return vstr_out;
}
static fp_int *fp_alloc(void)
{
fp_int *a = m_new_obj(fp_int);
fp_init(a);
return a;
}
static void fp_free(fp_int *a)
{
if (a != NULL)
{
m_del_obj(fp_int, a);
}
}
static mp_obj_t fp_int_as_int(fp_int *b)
{
mp_obj_int_t *o = mp_obj_int_new_mpz();
mpz_init_zero(&o->mpz);
if (fp_iszero(b))
{
return MP_OBJ_FROM_PTR(o);
}
size_t nbits = fp_count_bits(b);
size_t bsize = (nbits >> 3) + (nbits & 7 ? 1 : 0);
bool is_neg = false;
if (fp_cmp_d(b, 0) == FP_LT)
{
is_neg = true;
}
if (is_neg)
{
fp_abs(b, b);
}
byte *bb = m_new(byte, bsize);
fp_to_unsigned_bin(b, bb);
mpz_set_from_bytes(&o->mpz, true, bsize, bb);
m_del(byte, bb, bsize);
if (!mpz_is_zero(&o->mpz))
{
if (is_neg)
{
mpz_neg_inpl(&o->mpz, &o->mpz);
}
}
return MP_OBJ_FROM_PTR(o);
}
static size_t mpz_as_fp_int(mpz_t *i, fp_int *b)
{
/* set the integer to the default of zero */
fp_zero(b);
if (mpz_is_zero(i))
{
return FP_OKAY;
}
size_t nbits = mpz_max_num_bits(i);
size_t bsize = (nbits >> 3) + (nbits & 7 ? 1 : 0);
byte *ib = m_new(byte, bsize);
bool is_neg = mpz_is_neg(i);
if (is_neg)
{
mpz_abs_inpl(i, i);
}
mpz_as_bytes(i, true, is_neg, bsize, ib);
if (is_neg)
{
mpz_neg_inpl(i, i);
}
fp_read_unsigned_bin(b, ib, bsize);
m_del(byte, ib, bsize);
/* set the sign only if b != 0 */
if (fp_iszero(b) != FP_YES)
{
if (is_neg)
{
b->sign = FP_NEG;
}
else
{
b->sign = FP_ZPOS;
}
}
return FP_OKAY;
}
static mpz_t *mp_mpz_for_int(mp_obj_t arg, mpz_t *temp)
{
if (MP_OBJ_IS_SMALL_INT(arg))
{
mpz_init_from_int(temp, MP_OBJ_SMALL_INT_VALUE(arg));
return temp;
}
else
{
mp_obj_int_t *arp_p = MP_OBJ_TO_PTR(arg);
return &(arp_p->mpz);
}
}
static bool mp_fp_for_int(mp_obj_t arg, fp_int *ft_tmp)
{
mpz_t arp_temp;
mpz_t *arp_p = mp_mpz_for_int(arg, &arp_temp);
mpz_as_fp_int(arp_p, ft_tmp);
if (arp_p == &arp_temp)
{
mpz_deinit(arp_p);
}
return true;
}
#if 0
static vstr_t *vstr_new_from_mpz(const mpz_t *i)
{
size_t len = mp_int_format_size(mpz_max_num_bits(i), 10, NULL, '\0');
vstr_t *vstr = vstr_new(len);
mpz_as_str_inpl(i, 10, NULL, 'a', '\0', vstr_str(vstr));
vstr->len = len;
return vstr;
}
#endif
static vstr_t *vstr_new_from_fp(fp_int *fp)
{
int size_fp;
fp_radix_size(fp, 10, &size_fp);
vstr_t *vstr_fp = vstr_new(size_fp);
vstr_fp->len = size_fp;
fp_toradix_n(fp, vstr_str(vstr_fp), 10, vstr_len(vstr_fp));
return vstr_fp;
}
static mp_obj_t mp_obj_new_int_from_fp(fp_int *fp)
{
return fp_int_as_int(fp);
}
/* returns a TFM ident string useful for debugging... */
static mp_obj_t mod_ident(void)
{
const char *s = fp_ident();
size_t s_len = strlen(s);
vstr_t vstr_out;
vstr_init(&vstr_out, s_len);
vstr_add_strn(&vstr_out, s, s_len);
return mp_obj_new_str_from_vstr(&vstr_out);
}
static MP_DEFINE_CONST_FUN_OBJ_0(mod_ident_obj, mod_ident);
static MP_DEFINE_CONST_STATICMETHOD_OBJ(mod_static_ident_obj, MP_ROM_PTR(&mod_ident_obj));
static int fp_pow3(fp_int *X, fp_int *E, fp_int *M, fp_int *Y)
{
fp_int *x = fp_alloc();
fp_int *e = fp_alloc();
fp_int *y = fp_alloc();
fp_copy(X, x);
fp_copy(E, e);
fp_set(y, 1);
// while E > 0:
while (fp_cmp_d(e, 0) == FP_GT)
{
// if E % 2 == 0:
fp_digit Emod2;
fp_mod_d(e, 2, &Emod2);
if (Emod2 == 0)
{
// X = (X * X) % m
fp_sqrmod(x, M, x);
// E = E / 2
fp_div_2(e, e);
}
else
{
// Y = (X * Y) % m
fp_mulmod(x, y, M, y);
// E = E - 1
fp_sub_d(e, 1, e);
}
}
fp_copy(y, Y);
fp_free(x);
fp_free(e);
fp_free(y);
return FP_OKAY;
}
static mp_obj_t mod_fast_pow(mp_obj_t A_in, mp_obj_t B_in, mp_obj_t C_in)
{
fp_int *a_fp_int = fp_alloc();
fp_int *b_fp_int = fp_alloc();
fp_int *c_fp_int = fp_alloc();
fp_int *d_fp_int = fp_alloc();
mp_fp_for_int(A_in, a_fp_int);
mp_fp_for_int(B_in, b_fp_int);
mp_fp_for_int(C_in, c_fp_int);
fp_pow3(a_fp_int, b_fp_int, c_fp_int, d_fp_int);
mp_obj_t res = mp_obj_new_int_from_fp(d_fp_int);
fp_free(d_fp_int);
fp_free(a_fp_int);
fp_free(b_fp_int);
fp_free(c_fp_int);
return res;
}
static MP_DEFINE_CONST_FUN_OBJ_3(mod_fast_pow_obj, mod_fast_pow);
static MP_DEFINE_CONST_STATICMETHOD_OBJ(mod_static_fast_pow_obj, MP_ROM_PTR(&mod_fast_pow_obj));
/* d = a**b (mod c) */
static mp_obj_t mod_exptmod(size_t n_args, const mp_obj_t *pos_args, mp_map_t *kw_args)
{
static const mp_arg_t allowed_args[] = {
{MP_QSTR_a, MP_ARG_OBJ, {.u_obj = mp_const_none}},
{MP_QSTR_b, MP_ARG_OBJ, {.u_obj = mp_const_none}},
{MP_QSTR_c, MP_ARG_OBJ, {.u_obj = mp_const_none}},
{MP_QSTR_safe, MP_ARG_BOOL, {.u_bool = false}},
};
struct
{
mp_arg_val_t a, b, c, safe;
} args;
mp_arg_parse_all(n_args, pos_args, kw_args, MP_ARRAY_SIZE(allowed_args), allowed_args, (mp_arg_val_t *)&args);
fp_int *a_fp_int = fp_alloc();
fp_int *b_fp_int = fp_alloc();
fp_int *c_fp_int = fp_alloc();
fp_int *d_fp_int = fp_alloc();
mp_fp_for_int(args.a.u_obj, a_fp_int);
mp_fp_for_int(args.b.u_obj, b_fp_int);
mp_fp_for_int(args.c.u_obj, c_fp_int);
// the montgomery reduce need odd modulus
if (fp_isodd(c_fp_int) == FP_YES)
{
fp_exptmod(a_fp_int, b_fp_int, c_fp_int, d_fp_int);
}
else
{
if (args.safe.u_bool)
{
fp_pow3(a_fp_int, b_fp_int, c_fp_int, d_fp_int);
}
else
{
mp_raise_ValueError(ERROR_ODD_MODULUS);
}
}
mp_obj_t res = mp_obj_new_int_from_fp(d_fp_int);
fp_free(d_fp_int);
fp_free(a_fp_int);
fp_free(b_fp_int);
fp_free(c_fp_int);
return res;
}
static MP_DEFINE_CONST_FUN_OBJ_KW(mod_exptmod_obj, 3, mod_exptmod);
static MP_DEFINE_CONST_STATICMETHOD_OBJ(mod_static_exptmod_obj, MP_ROM_PTR(&mod_exptmod_obj));
/* c = 1/a (mod b) */
static mp_obj_t mod_invmod(mp_obj_t A_in, mp_obj_t B_in)
{
fp_int *a_fp_int = fp_alloc();
fp_int *b_fp_int = fp_alloc();
fp_int *c_fp_int = fp_alloc();
mp_fp_for_int(A_in, a_fp_int);
mp_fp_for_int(B_in, b_fp_int);
fp_invmod(a_fp_int, b_fp_int, c_fp_int);
mp_obj_t res = mp_obj_new_int_from_fp(c_fp_int);
fp_free(a_fp_int);
fp_free(b_fp_int);
fp_free(c_fp_int);
return res;
}
static MP_DEFINE_CONST_FUN_OBJ_2(mod_invmod_obj, mod_invmod);
static MP_DEFINE_CONST_STATICMETHOD_OBJ(mod_static_invmod_obj, MP_ROM_PTR(&mod_invmod_obj));
/* c = (a, b) */
static mp_obj_t mod_gcd(mp_obj_t A_in, mp_obj_t B_in)
{
fp_int *a_fp_int = fp_alloc();
fp_int *b_fp_int = fp_alloc();
fp_int *c_fp_int = fp_alloc();
mp_fp_for_int(A_in, a_fp_int);
mp_fp_for_int(B_in, b_fp_int);
fp_gcd(a_fp_int, b_fp_int, c_fp_int);
mp_obj_t res = mp_obj_new_int_from_fp(c_fp_int);
fp_free(a_fp_int);
fp_free(b_fp_int);
fp_free(c_fp_int);
return res;
}
static MP_DEFINE_CONST_FUN_OBJ_2(mod_gcd_obj, mod_gcd);
static MP_DEFINE_CONST_STATICMETHOD_OBJ(mod_static_gcd_obj, MP_ROM_PTR(&mod_gcd_obj));
static int ucrypto_rng(unsigned char *dst, int len, void *dat)
{
(void)dat;
for (int x = 0; x < len; x++)
{
dst[x] = FP_GEN_RANDOM();
}
return len;
}
/* generate prime number */
static mp_obj_t mod_generate_prime(size_t n_args, const mp_obj_t *pos_args, mp_map_t *kw_args)
{
static const mp_arg_t allowed_args[] = {
{MP_QSTR_num, MP_ARG_INT, {.u_int = 1024}},
{MP_QSTR_test, MP_ARG_INT, {.u_int = 25}},
{MP_QSTR_safe, MP_ARG_BOOL, {.u_bool = false}}};
struct
{
mp_arg_val_t num, test, safe;
} args;
mp_arg_parse_all(n_args, pos_args, kw_args, MP_ARRAY_SIZE(allowed_args), allowed_args, (mp_arg_val_t *)&args);
if (args.num.u_int < 16 || args.num.u_int > 4096)
{
mp_raise_msg_varg(&mp_type_ValueError, ERROR_NUM_BITS, args.num.u_int);
}
int flags = ((FP_GEN_RANDOM() & 1) ? TFM_PRIME_2MSB_OFF : TFM_PRIME_2MSB_ON);
if (args.safe.u_bool)
{
flags |= TFM_PRIME_SAFE;
}
fp_int a_fp_int;
int ret = FP_OKAY;
if ((ret = fp_prime_random_ex(&a_fp_int, args.test.u_int, args.num.u_int, flags, ucrypto_rng, NULL)) == FP_OKAY)
{
if (fp_count_bits(&a_fp_int) != args.num.u_int)
{
mp_raise_msg_varg(&mp_type_ValueError, ERROR_PRIME_LEN, fp_count_bits(&a_fp_int), args.num.u_int);
}
}
else
{
mp_raise_msg_varg(&mp_type_ValueError, MP_ERROR_TEXT("%d"), ret);
}
return mp_obj_new_int_from_fp(&a_fp_int);
}
static MP_DEFINE_CONST_FUN_OBJ_KW(mod_generate_prime_obj, 1, mod_generate_prime);
static MP_DEFINE_CONST_STATICMETHOD_OBJ(mod_static_generate_prime_obj, MP_ROM_PTR(&mod_generate_prime_obj));
static mp_obj_t mod_is_prime(size_t n_args, const mp_obj_t *pos_args, mp_map_t *kw_args)
{
static const mp_arg_t allowed_args[] = {
{MP_QSTR_a, MP_ARG_OBJ, {.u_obj = mp_const_none}},
{MP_QSTR_test, MP_ARG_INT, {.u_int = 25}},
};
struct
{
mp_arg_val_t a, test;
} args;
mp_arg_parse_all(n_args, pos_args, kw_args, MP_ARRAY_SIZE(allowed_args), allowed_args, (mp_arg_val_t *)&args);
if (!MP_OBJ_IS_INT(args.a.u_obj))
{
mp_raise_msg_varg(&mp_type_TypeError, ERROR_EXPECTED_INT, mp_obj_get_type_str(args.a.u_obj));
}
fp_int *a_fp_int = fp_alloc();
mp_fp_for_int(args.a.u_obj, a_fp_int);
int ret = fp_isprime_ex(a_fp_int, args.test.u_int);
fp_free(a_fp_int);
return mp_obj_new_bool(ret);
}
static MP_DEFINE_CONST_FUN_OBJ_KW(mod_is_prime_obj, 1, mod_is_prime);
static MP_DEFINE_CONST_STATICMETHOD_OBJ(mod_static_is_prime_obj, MP_ROM_PTR(&mod_is_prime_obj));
static void number_print(const mp_print_t *print, mp_obj_t self_in, mp_print_kind_t kind)
{
(void)kind;
mp_printf(print, mp_obj_get_type_str(self_in));
}
static const mp_rom_map_elem_t number_locals_dict_table[] = {
{MP_ROM_QSTR(MP_QSTR_ident), MP_ROM_PTR(&mod_static_ident_obj)},
{MP_ROM_QSTR(MP_QSTR_exptmod), MP_ROM_PTR(&mod_static_exptmod_obj)},
{MP_ROM_QSTR(MP_QSTR_fast_pow), MP_ROM_PTR(&mod_static_fast_pow_obj)},
{MP_ROM_QSTR(MP_QSTR_invmod), MP_ROM_PTR(&mod_static_invmod_obj)},
{MP_ROM_QSTR(MP_QSTR_gcd), MP_ROM_PTR(&mod_static_gcd_obj)},
{MP_ROM_QSTR(MP_QSTR_generate_prime), MP_ROM_PTR(&mod_static_generate_prime_obj)},
{MP_ROM_QSTR(MP_QSTR_is_prime), MP_ROM_PTR(&mod_static_is_prime_obj)},
};
static MP_DEFINE_CONST_DICT(number_locals_dict, number_locals_dict_table);
MP_DEFINE_CONST_OBJ_TYPE(
number_type,
MP_QSTR_NUMBER,
MP_TYPE_FLAG_NONE,
print, number_print,
locals_dict, &number_locals_dict);
// point in a prime field
typedef struct _ecc_point_t
{
fp_int *x;
fp_int *y;
} ecc_point_t;
// curve over a prime field
typedef struct _ecc_curve_t
{
fp_int *p;
fp_int *a;
fp_int *b;
fp_int *q;
ecc_point_t *g;
vstr_t name;
vstr_t oid;
} ecc_curve_t;
typedef struct _ecdsa_signature_t
{
fp_int *r;
fp_int *s;
} ecdsa_signature_t;
typedef struct _mp_curve_t
{
mp_obj_base_t base;
ecc_curve_t *ecc_curve;
} mp_curve_t;
typedef struct _mp_point_t
{
mp_obj_base_t base;
ecc_point_t *ecc_point;
ecc_curve_t *ecc_curve;
} mp_point_t;
typedef struct _mp_ecdsa_signature_t
{
mp_obj_base_t base;
ecdsa_signature_t *ecdsa_signature;
} mp_ecdsa_signature_t;
const mp_obj_type_t signature_type;
const mp_obj_type_t curve_type;
const mp_obj_type_t point_type;
const mp_obj_type_t ecc_type;
static mp_curve_t *new_curve_init_copy(mp_point_t *point)
{
mp_curve_t *c = m_new_obj(mp_curve_t);
c->base.type = &curve_type;
c->ecc_curve = m_new_obj(ecc_curve_t);
c->ecc_curve->p = fp_alloc();
c->ecc_curve->a = fp_alloc();
c->ecc_curve->b = fp_alloc();
c->ecc_curve->q = fp_alloc();
c->ecc_curve->g = m_new_obj(ecc_point_t);
c->ecc_curve->g->x = fp_alloc();
c->ecc_curve->g->y = fp_alloc();
vstr_init(&c->ecc_curve->name, vstr_len(&point->ecc_curve->oid));
vstr_add_strn(&c->ecc_curve->name, vstr_str(&point->ecc_curve->name), vstr_len(&point->ecc_curve->name));
vstr_init(&c->ecc_curve->oid, vstr_len(&point->ecc_curve->oid));
vstr_add_strn(&c->ecc_curve->oid, vstr_str(&point->ecc_curve->oid), vstr_len(&point->ecc_curve->oid));
fp_copy(point->ecc_curve->p, c->ecc_curve->p);
fp_copy(point->ecc_curve->a, c->ecc_curve->a);
fp_copy(point->ecc_curve->b, c->ecc_curve->b);
fp_copy(point->ecc_curve->q, c->ecc_curve->q);
fp_copy(point->ecc_curve->g->x, c->ecc_curve->g->x);
fp_copy(point->ecc_curve->g->y, c->ecc_curve->g->y);
return c;
}
static mp_point_t *new_point_init_copy(mp_curve_t *curve)
{
mp_point_t *pr = m_new_obj(mp_point_t);
pr->base.type = &point_type;
pr->ecc_curve = m_new_obj(ecc_curve_t);
pr->ecc_curve->p = fp_alloc();
pr->ecc_curve->a = fp_alloc();
pr->ecc_curve->b = fp_alloc();
pr->ecc_curve->q = fp_alloc();
pr->ecc_curve->g = m_new_obj(ecc_point_t);
pr->ecc_curve->g->x = fp_alloc();
pr->ecc_curve->g->y = fp_alloc();
pr->ecc_point = m_new_obj(ecc_point_t);
pr->ecc_point->x = fp_alloc();
pr->ecc_point->y = fp_alloc();
vstr_init(&pr->ecc_curve->name, vstr_len(&curve->ecc_curve->oid));
vstr_add_strn(&pr->ecc_curve->name, vstr_str(&curve->ecc_curve->name), vstr_len(&curve->ecc_curve->name));
vstr_init(&pr->ecc_curve->oid, vstr_len(&curve->ecc_curve->oid));
vstr_add_strn(&pr->ecc_curve->oid, vstr_str(&curve->ecc_curve->oid), vstr_len(&curve->ecc_curve->oid));
fp_copy(curve->ecc_curve->p, pr->ecc_curve->p);
fp_copy(curve->ecc_curve->a, pr->ecc_curve->a);
fp_copy(curve->ecc_curve->b, pr->ecc_curve->b);
fp_copy(curve->ecc_curve->q, pr->ecc_curve->q);
fp_copy(curve->ecc_curve->g->x, pr->ecc_curve->g->x);
fp_copy(curve->ecc_curve->g->y, pr->ecc_curve->g->y);
fp_copy(curve->ecc_curve->g->x, pr->ecc_point->x);
fp_copy(curve->ecc_curve->g->y, pr->ecc_point->y);
return pr;
}
static bool ec_signature_equal(ecdsa_signature_t *s1, ecdsa_signature_t *s2)
{
if (fp_cmp(s1->r, s2->r) != FP_EQ)
{
return false;
}
if (fp_cmp(s1->s, s2->s) != FP_EQ)
{
return false;
}
return true;
}
static void signature_print(mp_print_t *print, mp_obj_t self_in, mp_print_kind_t kind)
{
(void)kind;
mp_ecdsa_signature_t *self = MP_OBJ_TO_PTR(self_in);
vstr_t *vstr_r = vstr_new_from_fp(self->ecdsa_signature->r);
vstr_t *vstr_s = vstr_new_from_fp(self->ecdsa_signature->s);
mp_printf(print, "<Signature r=%s s=%s>", vstr_str(vstr_r), vstr_str(vstr_s));
vstr_free(vstr_r);
vstr_free(vstr_s);
}
static mp_obj_t signature_binary_op(mp_binary_op_t op, mp_obj_t lhs, mp_obj_t rhs)
{
switch (op)
{
case MP_BINARY_OP_EQUAL:
{
if (!MP_OBJ_IS_TYPE(lhs, &signature_type) && !MP_OBJ_IS_TYPE(rhs, &signature_type))
{
mp_raise_TypeError(ERROR_EXPECTED_SIGNATURES);
}
mp_ecdsa_signature_t *l = MP_OBJ_TO_PTR(lhs);
mp_ecdsa_signature_t *r = MP_OBJ_TO_PTR(rhs);
return mp_obj_new_bool(ec_signature_equal(l->ecdsa_signature, r->ecdsa_signature));
}
default:
return MP_OBJ_NULL; // op not supported
}
}
static void signature_attr(mp_obj_t obj, qstr attr, mp_obj_t *dest)
{
mp_ecdsa_signature_t *self = MP_OBJ_TO_PTR(obj);
if (dest[0] == MP_OBJ_NULL)
{
const mp_obj_type_t *type = mp_obj_get_type(obj);
mp_map_t *locals_map = &MP_OBJ_TYPE_GET_SLOT(type, locals_dict)->map;
mp_map_elem_t *elem = mp_map_lookup(locals_map, MP_OBJ_NEW_QSTR(attr), MP_MAP_LOOKUP);
if (elem != NULL)
{
if (attr == MP_QSTR_r)
{
dest[0] = mp_obj_new_int_from_fp(self->ecdsa_signature->r);
return;
}
else if (attr == MP_QSTR_s)
{
dest[0] = mp_obj_new_int_from_fp(self->ecdsa_signature->s);
return;
}
mp_convert_member_lookup(obj, type, elem->value, dest);
}
}
}
static const mp_rom_map_elem_t signature_locals_dict_table[] = {
{MP_ROM_QSTR(MP_QSTR_s), MP_ROM_INT(0)},
{MP_ROM_QSTR(MP_QSTR_r), MP_ROM_INT(0)},
};
static MP_DEFINE_CONST_DICT(signature_locals_dict, signature_locals_dict_table);
MP_DEFINE_CONST_OBJ_TYPE(
signature_type,
MP_QSTR_Signature,
MP_TYPE_FLAG_NONE,
print, signature_print,
binary_op, signature_binary_op,
attr, signature_attr,
locals_dict, &signature_locals_dict);
static bool ec_point_in_curve(ecc_point_t *point, ecc_curve_t *curve)
{
int is_point_in_curve = 0;
fp_int *x = fp_alloc();
fp_int *y = fp_alloc();
fp_int *left = fp_alloc();
fp_int *right = fp_alloc();
fp_int *x_mul_x_mul_x = fp_alloc();
fp_int *curvea_mul_x = fp_alloc();
fp_int *left_minus_right_mod_curvep = fp_alloc();
fp_copy(point->x, x);
fp_copy(point->y, y);
/*
left = y * y
right = (x * x * x) + (self.a * x) + self.b
return (left - right) % self.p == 0
*/
// left = (y * y)
fp_sqr(y, left);
//(x * x * x)
fp_mul(x, x, x_mul_x_mul_x);
fp_mul(x_mul_x_mul_x, x, x_mul_x_mul_x);
//(curve.a * x)
fp_mul(curve->a, x, curvea_mul_x);
// right = (x * x * x) + (curve.a * x) + curve.b
fp_add(x_mul_x_mul_x, curvea_mul_x, right);
fp_add(right, curve->b, right);
// return (left - right) % curve.p == 0
fp_submod(left, right, curve->p, left_minus_right_mod_curvep);
is_point_in_curve = (fp_iszero(left_minus_right_mod_curvep) == FP_YES);
fp_free(left);
fp_free(x_mul_x_mul_x);
fp_free(curvea_mul_x);
fp_free(right);
fp_free(left_minus_right_mod_curvep);
fp_free(x);
fp_free(y);
return is_point_in_curve;
}
static bool ec_curve_equal(ecc_curve_t *c1, ecc_curve_t *c2)
{
if (fp_cmp(c1->p, c2->p) != FP_EQ)
{
return false;
}
if (fp_cmp(c1->a, c2->a) != FP_EQ)
{
return false;
}
if (fp_cmp(c1->b, c2->b) != FP_EQ)
{
return false;
}
if (fp_cmp(c1->q, c2->q) != FP_EQ)
{
return false;
}
if (fp_cmp(c1->g->x, c2->g->x) != FP_EQ)
{
return false;
}
if (fp_cmp(c1->g->y, c2->g->y) != FP_EQ)
{
return false;
}
return true;
}
static mp_obj_t curve_equal(mp_obj_t curve1, mp_obj_t curve2)
{
if (!MP_OBJ_IS_TYPE(curve1, &curve_type))
{
mp_raise_msg_varg(&mp_type_TypeError, ERROR_EXPECTED_CURVE_AT_BUT, 1, mp_obj_get_type_str(curve1));
}
if (!MP_OBJ_IS_TYPE(curve2, &curve_type))
{
mp_raise_msg_varg(&mp_type_TypeError, ERROR_EXPECTED_CURVE_AT_BUT, 2, mp_obj_get_type_str(curve2));
}
mp_curve_t *c1 = MP_OBJ_TO_PTR(curve1);
mp_curve_t *c2 = MP_OBJ_TO_PTR(curve2);
return mp_obj_new_bool(ec_curve_equal(c1->ecc_curve, c2->ecc_curve));
}
static MP_DEFINE_CONST_FUN_OBJ_2(curve_equal_obj, curve_equal);
static MP_DEFINE_CONST_STATICMETHOD_OBJ(static_curve_equal_obj, MP_ROM_PTR(&curve_equal_obj));
static mp_obj_t point_in_curve(mp_obj_t point, mp_obj_t curve)
{
if (!MP_OBJ_IS_TYPE(point, &point_type))
{
mp_raise_msg_varg(&mp_type_TypeError, ERROR_EXPECTED_POINT_AT_BUT, 1, mp_obj_get_type_str(point));
}
if (!MP_OBJ_IS_TYPE(curve, &curve_type))
{
mp_raise_msg_varg(&mp_type_TypeError, ERROR_EXPECTED_CURVE_AT_BUT, 2, mp_obj_get_type_str(curve));
}
mp_point_t *p = MP_OBJ_TO_PTR(point);
mp_curve_t *c = MP_OBJ_TO_PTR(curve);
return mp_obj_new_bool(ec_point_in_curve(p->ecc_point, c->ecc_curve));
}
static MP_DEFINE_CONST_FUN_OBJ_2(point_in_curve_obj, point_in_curve);
static MP_DEFINE_CONST_STATICMETHOD_OBJ(static_point_in_curve_obj, MP_ROM_PTR(&point_in_curve_obj));
static void curve_print(const mp_print_t *print, mp_obj_t self_in, mp_print_kind_t kind)
{
(void)kind;
mp_curve_t *self = MP_OBJ_TO_PTR(self_in);
vstr_t vstr_oid;
vstr_hexlify(&vstr_oid, (const byte *)vstr_str(&self->ecc_curve->oid), vstr_len(&self->ecc_curve->oid));
vstr_t *ecc_curve_p = vstr_new_from_fp(self->ecc_curve->p);
vstr_t *ecc_curve_a = vstr_new_from_fp(self->ecc_curve->a);
vstr_t *ecc_curve_b = vstr_new_from_fp(self->ecc_curve->b);
vstr_t *ecc_curve_q = vstr_new_from_fp(self->ecc_curve->q);
vstr_t *ecc_curve_g_x = vstr_new_from_fp(self->ecc_curve->g->x);
vstr_t *ecc_curve_g_y = vstr_new_from_fp(self->ecc_curve->g->y);
mp_printf(print, "<Curve name=%s oid=%s p=%s a=%s b=%s q=%s gx=%s gy=%s>", vstr_str(&self->ecc_curve->name), vstr_str(&vstr_oid), vstr_str(ecc_curve_p), vstr_str(ecc_curve_a), vstr_str(ecc_curve_b), vstr_str(ecc_curve_q), vstr_str(ecc_curve_g_x), vstr_str(ecc_curve_g_y));
vstr_free(ecc_curve_p);
vstr_free(ecc_curve_a);
vstr_free(ecc_curve_b);
vstr_free(ecc_curve_q);
vstr_free(ecc_curve_g_x);
vstr_free(ecc_curve_g_y);
}
static mp_obj_t curve_binary_op(mp_binary_op_t op, mp_obj_t lhs, mp_obj_t rhs)
{
switch (op)
{
case MP_BINARY_OP_EQUAL:
{
if (!MP_OBJ_IS_TYPE(lhs, &curve_type) && !MP_OBJ_IS_TYPE(rhs, &curve_type))
{
mp_raise_TypeError(ERROR_EXPECTED_CURVES);
}
mp_curve_t *l = MP_OBJ_TO_PTR(lhs);
mp_curve_t *r = MP_OBJ_TO_PTR(rhs);
return curve_equal(MP_OBJ_FROM_PTR(l), MP_OBJ_FROM_PTR(r));
}
case MP_BINARY_OP_CONTAINS:
{
if (!MP_OBJ_IS_TYPE(lhs, &curve_type))
{
mp_raise_TypeError(ERROR_LEFT_EXPECTED_CURVE);
}
if (!MP_OBJ_IS_TYPE(rhs, &point_type))
{
mp_raise_TypeError(ERROR_RIGHT_EXPECTED_POINT);
}
mp_curve_t *l = MP_OBJ_TO_PTR(lhs);
mp_point_t *r = MP_OBJ_TO_PTR(rhs);
return point_in_curve(MP_OBJ_FROM_PTR(r), MP_OBJ_FROM_PTR(l));
}
default:
return MP_OBJ_NULL; // op not supported
}
}
static void curve_attr(mp_obj_t obj, qstr attr, mp_obj_t *dest)
{
mp_curve_t *self = MP_OBJ_TO_PTR(obj);
if (dest[0] == MP_OBJ_NULL)
{
const mp_obj_type_t *type = mp_obj_get_type(obj);
mp_map_t *locals_map = &MP_OBJ_TYPE_GET_SLOT(type, locals_dict)->map;
mp_map_elem_t *elem = mp_map_lookup(locals_map, MP_OBJ_NEW_QSTR(attr), MP_MAP_LOOKUP);
if (elem != NULL)
{
if (attr == MP_QSTR_p)
{
dest[0] = mp_obj_new_int_from_fp(self->ecc_curve->p);
return;
}
else if (attr == MP_QSTR_a)
{
dest[0] = mp_obj_new_int_from_fp(self->ecc_curve->a);
return;
}
else if (attr == MP_QSTR_b)
{
dest[0] = mp_obj_new_int_from_fp(self->ecc_curve->b);
return;
}
else if (attr == MP_QSTR_q)
{
dest[0] = mp_obj_new_int_from_fp(self->ecc_curve->q);
return;
}
else if (attr == MP_QSTR_G)
{
mp_point_t *pr = new_point_init_copy(self);
dest[0] = pr;
return;
}
else if (attr == MP_QSTR_gx)
{
dest[0] = mp_obj_new_int_from_fp(self->ecc_curve->g->x);
return;
}
else if (attr == MP_QSTR_gy)
{
dest[0] = mp_obj_new_int_from_fp(self->ecc_curve->g->y);
return;
}
else if (attr == MP_QSTR_name)
{
dest[0] = mp_obj_new_str_of_type(&mp_type_str, (const byte *)vstr_str(&self->ecc_curve->name), vstr_len(&self->ecc_curve->name));
return;
}
else if (attr == MP_QSTR_oid)
{
dest[0] = mp_obj_new_str_of_type(&mp_type_bytes, (const byte *)vstr_str(&self->ecc_curve->oid), vstr_len(&self->ecc_curve->oid));
return;
}
mp_convert_member_lookup(obj, type, elem->value, dest);
}
}