27 #include "mphell/mphell.h" 47 number_set_str(p,
"fffffffffffffffffffffffffffffffeffffffffffffffff", 16);
74 field_elt_set_str(a,
"fffffffffffffffffffffffffffffffefffffffffffffffc", 16,
false, k, STACK_1);
75 field_elt_set_str(b,
"64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", 16,
false, k, STACK_1);
76 ec_point_set_aff_str(G,
"188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012",
"07192b95ffc8da78631011ed6b24cdd573f977a11e794811",
false, 16,
WEIERSTRASS, k, STACK_1);
77 number_set_str(h,
"000000000000000000000000000000000000000000000001", 16);
78 number_set_str(n,
"ffffffffffffffffffffffff99def836146bc9b1b4d22831", 16);
80 ec_create(E,
"Weierstrass_test", k, a, b, G, h, n,
WEIERSTRASS,
PROJECTIVE, STACK_1);
104 ec_point_set_aff_str(x,
"3a6e0e0135079698f34344bb2261a5fa0730419b639b45ca",
"52c86dc001c77804f6a1e9ab8e5ac4627727919a68993692",
false, 16,
WEIERSTRASS, k, STACK_1);
105 ec_point_set_aff_str(y,
"8cf9058484386d660331a5ef852002360c00d5c940010c33",
"2ec3235f6b5eeec13bc3c206b47e60cf715966c67c6e292a",
false, 16,
WEIERSTRASS, k, STACK_1);
110 printf(
"x+y = ");
ec_point_print(res, 16,
true, k, STACK_1); printf(
"\n");
111 printf(
"x+y belongs to E : %d\n\n",
ec_belongs(res, E, STACK_1));
116 printf(
"x-y = ");
ec_point_print(res, 16,
true, k, STACK_1); printf(
"\n");
117 printf(
"x-y belongs to E : %d\n\n",
ec_belongs(res, E, STACK_1));
122 printf(
"x*2 = ");
ec_point_print(res, 16,
true, k, STACK_1); printf(
"\n");
123 printf(
"x*2 belongs to E : %d\n\n",
ec_belongs(res, E, STACK_1));
128 printf(
"-x = ");
ec_point_print(res, 16,
true, k, STACK_1); printf(
"\n");
129 printf(
"-x belongs to E : %d\n\n",
ec_belongs(res, E, STACK_1));
135 number_set_str(m,
"3a6e0e0135079698f34344bb2261a5fa0730419b639b45ca", 16);
137 printf(
"x*3a6e0e0135079698f34344bb2261a5fa0730419b639b45ca = ");
ec_point_print(res, 16,
true, k, STACK_1); printf(
"\n");
138 printf(
"x*3a6e0e0135079698f34344bb2261a5fa0730419b639b45ca belongs to E : %d\n\n",
ec_belongs(res, E, STACK_1));
145 printf(
"random point, res = ");
ec_point_print(res, 16,
true, k, STACK_1); printf(
"\n");
146 printf(
"res belongs to E : %d\n\n",
ec_belongs(res, E, STACK_1));
bool ec_belongs(ec_point_srcptr P, ec_curve_srcptr E, uint8_t stack)
Test if P belongs to E.
fp_elt * field_elt
Generic field element.
void free_mphell()
Free MPHELL memory, especially the big amount of temporary memory.
void ec_create(ec_curve_ptr E, const char *id_curve, field_srcptr k, fe_srcptr a, fe_srcptr b, ec_point_srcptr G, number_srcptr h, number_srcptr n, const ec_type type, const ec_formula f, uint8_t stack)
Create an elliptic curve E, the curve must be allocated and initialised (ec_alloc & ec_init)
void field_elt_free(fe_ptr *src, field_srcptr k)
Free space used by src.
void init_mphell(const uint16_t security_strength, const random_type type, const entropy_type entropy)
Initialise MPHELL with security_strength bits of security (for random number only).
Define an elliptic curve point.
void ec_point_alloc(ec_point_ptr P, field_srcptr k)
Allocate an elliptic curve point.
void ec_point_neg(ec_point_ptr P3, ec_point_srcptr P1, ec_curve_srcptr E)
Set P3 to -P1.
void ec_init(ec_curve_ptr E, field_srcptr k)
Initialise a curve.
void ec_point_print(ec_point_srcptr P, const uint8_t base, const bool lift, field_srcptr k, uint8_t stack)
Print a description of P.
uint8_t bits_to_nblock(const uint16_t nbits)
Return the number of blocks required to store a nbits number.
void field_elt_alloc(fe_ptr *dst, field_srcptr k)
Allocate space for a field element.
void ec_point_init(ec_point_ptr P, field_srcptr k)
Initialise an elliptic curve point.
field_t field[1]
Address of a field structure.
void ec_point_add(ec_point_ptr P3, ec_point_srcptr P1, ec_point_srcptr P2, ec_curve_srcptr E, uint8_t stack)
Set P3 to P1 + P2, using dedicated formulae (not protected against SPA, but faster)
void number_free(number *dst)
Free a number_ptr allocated on the RAM memory (malloc)
void ec_point_free(ec_point_ptr P, field_srcptr k)
Free the point P.
void ec_free(ec_curve_ptr E)
Free the elliptic curve E.
void field_create(field_ptr k, const char *id, uint8_t stack, const uint32_t n,...)
Initialize the different fields of the structure pointed by k.
void ec_point_set_aff_str(ec_point_ptr P, const char *str_x, const char *str_y, const bool is_reduced, const uint8_t base, const ec_type type, field_srcptr k, uint8_t stack)
Set a point from its affine coordinates under string format.
void ec_point_dbl(ec_point_ptr P3, ec_point_srcptr P1, ec_curve_srcptr E, uint8_t stack)
Set P3 to 2*P1, using dedicated formulae (not protected against SPA, but faster)
void ec_alloc(ec_curve_ptr E, field_srcptr k)
Allocate a curve.
void field_alloc(field_ptr k, const field_type type, const uint8_t size, field_ptr base)
Allocates space for the different fields of the structure pointed by k.
void ec_point_mul(ec_point_ptr P3, number_srcptr n, ec_point_srcptr P1, ec_curve_srcptr E, uint8_t stack)
Set P3 to n * P1 using Montgomery for Weierstrass elliptic curve, and naive method for other elliptic...
void field_elt_init(fe_ptr dst, field_srcptr k)
Initialise the field element.
void ec_curve_print(ec_curve_srcptr E, const uint8_t base, uint8_t stack)
Print a description of E.
void number_set_str(number_ptr dst, const char *str, const uint8_t base)
Set dst to str.
void number_init(number *dst, const uint8_t n)
Allocate a number_ptr on the RAM memory (malloc)
void field_free(field_ptr k)
Free the space of the field informations structure.
void ec_point_random(ec_point_ptr P, ec_curve_srcptr E, uint8_t stack)
Create a random point P on the elliptic curve E.
Define an elliptic curve.
void field_elt_set_str(fe_ptr dst, const char *str, const uint8_t base, const bool isreduced, field_srcptr k, uint8_t stack)
Set dst to str, if Montgomery arithmetic is used, is_reduced == false -> transform dst into its Montg...
void ec_point_sub(ec_point_ptr P3, ec_point_srcptr P1, ec_point_srcptr P2, ec_curve_srcptr E, uint8_t stack)
Set P3 to P1 - P2, using dedicated formulae (not protected against SPA, but faster)