ec_lib.c File Reference

#include <string.h>
#include <openssl/err.h>
#include <openssl/opensslv.h>
#include "ec_lcl.h"

Go to the source code of this file.

Functions
EC_GROUP *	EC_GROUP_new (const EC_METHOD *meth)
void	EC_GROUP_free (EC_GROUP *group)
void	EC_GROUP_clear_free (EC_GROUP *group)
int	EC_GROUP_copy (EC_GROUP *dest, const EC_GROUP *src)
EC_GROUP *	EC_GROUP_dup (const EC_GROUP *a)
const EC_METHOD *	EC_GROUP_method_of (const EC_GROUP *group)
int	EC_METHOD_get_field_type (const EC_METHOD *meth)
int	EC_GROUP_set_generator (EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
const EC_POINT *	EC_GROUP_get0_generator (const EC_GROUP *group)
int	EC_GROUP_get_order (const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
int	EC_GROUP_get_cofactor (const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
void	EC_GROUP_set_curve_name (EC_GROUP *group, int nid)
int	EC_GROUP_get_curve_name (const EC_GROUP *group)
void	EC_GROUP_set_asn1_flag (EC_GROUP *group, int flag)
int	EC_GROUP_get_asn1_flag (const EC_GROUP *group)
void	EC_GROUP_set_point_conversion_form (EC_GROUP *group, point_conversion_form_t form)
point_conversion_form_t	EC_GROUP_get_point_conversion_form (const EC_GROUP *group)
size_t	EC_GROUP_set_seed (EC_GROUP *group, const unsigned char *p, size_t len)
unsigned char *	EC_GROUP_get0_seed (const EC_GROUP *group)
size_t	EC_GROUP_get_seed_len (const EC_GROUP *group)
int	EC_GROUP_set_curve_GFp (EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
int	EC_GROUP_get_curve_GFp (const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
int	EC_GROUP_set_curve_GF2m (EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
int	EC_GROUP_get_curve_GF2m (const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
int	EC_GROUP_get_degree (const EC_GROUP *group)
int	EC_GROUP_check_discriminant (const EC_GROUP *group, BN_CTX *ctx)
int	EC_GROUP_cmp (const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
int	EC_EX_DATA_set_data (EC_EXTRA_DATA **ex_data, void *data, void *(*dup_func)(void *), void(*free_func)(void *), void(*clear_free_func)(void *))
void *	EC_EX_DATA_get_data (const EC_EXTRA_DATA *ex_data, void *(*dup_func)(void *), void(*free_func)(void *), void(*clear_free_func)(void *))
void	EC_EX_DATA_free_data (EC_EXTRA_DATA **ex_data, void *(*dup_func)(void *), void(*free_func)(void *), void(*clear_free_func)(void *))
void	EC_EX_DATA_clear_free_data (EC_EXTRA_DATA **ex_data, void *(*dup_func)(void *), void(*free_func)(void *), void(*clear_free_func)(void *))
void	EC_EX_DATA_free_all_data (EC_EXTRA_DATA **ex_data)
void	EC_EX_DATA_clear_free_all_data (EC_EXTRA_DATA **ex_data)
EC_POINT *	EC_POINT_new (const EC_GROUP *group)
void	EC_POINT_free (EC_POINT *point)
void	EC_POINT_clear_free (EC_POINT *point)
int	EC_POINT_copy (EC_POINT *dest, const EC_POINT *src)
EC_POINT *	EC_POINT_dup (const EC_POINT *a, const EC_GROUP *group)
const EC_METHOD *	EC_POINT_method_of (const EC_POINT *point)
int	EC_POINT_set_to_infinity (const EC_GROUP *group, EC_POINT *point)
int	EC_POINT_set_Jprojective_coordinates_GFp (const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
int	EC_POINT_get_Jprojective_coordinates_GFp (const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
int	EC_POINT_set_affine_coordinates_GFp (const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
int	EC_POINT_set_affine_coordinates_GF2m (const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
int	EC_POINT_get_affine_coordinates_GFp (const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
int	EC_POINT_get_affine_coordinates_GF2m (const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
int	EC_POINT_add (const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
int	EC_POINT_dbl (const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
int	EC_POINT_invert (const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
int	EC_POINT_is_at_infinity (const EC_GROUP *group, const EC_POINT *point)
int	EC_POINT_is_on_curve (const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
int	EC_POINT_cmp (const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
int	EC_POINT_make_affine (const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
int	EC_POINTs_make_affine (const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
int	EC_POINTs_mul (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
int	EC_POINT_mul (const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar, const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
int	EC_GROUP_precompute_mult (EC_GROUP *group, BN_CTX *ctx)
int	EC_GROUP_have_precompute_mult (const EC_GROUP *group)

Function Documentation

void EC_EX_DATA_clear_free_all_data

(

EC_EXTRA_DATA **

ex_data

)

Definition at line 670 of file ec_lib.c.

void EC_EX_DATA_clear_free_data	(	EC_EXTRA_DATA **	ex_data,
		void *(*)(void *)	dup_func,
		void(*)(void *)	free_func,
		void(*)(void *)	clear_free_func
	)

Definition at line 625 of file ec_lib.c.

void EC_EX_DATA_free_all_data

(

EC_EXTRA_DATA **

ex_data

)

Definition at line 649 of file ec_lib.c.

void EC_EX_DATA_free_data	(	EC_EXTRA_DATA **	ex_data,
		void *(*)(void *)	dup_func,
		void(*)(void *)	free_func,
		void(*)(void *)	clear_free_func
	)

Definition at line 601 of file ec_lib.c.

void* EC_EX_DATA_get_data	(	const EC_EXTRA_DATA *	ex_data,
		void *(*)(void *)	dup_func,
		void(*)(void *)	free_func,
		void(*)(void *)	clear_free_func
	)

Definition at line 586 of file ec_lib.c.

int EC_EX_DATA_set_data	(	EC_EXTRA_DATA **	ex_data,
		void *	data,
		void *(*)(void *)	dup_func,
		void(*)(void *)	free_func,
		void(*)(void *)	clear_free_func
	)

Definition at line 549 of file ec_lib.c.

int EC_GROUP_check_discriminant	(	const EC_GROUP *	group,
		BN_CTX *	ctx
	)

Checks whether the discriminant of the elliptic curve is zero or not

Parameters

group	EC_GROUP object
ctx	BN_CTX object (optional)

Returns

1 if the discriminant is not zero and 0 otherwise

Definition at line 462 of file ec_lib.c.

void EC_GROUP_clear_free

(

EC_GROUP *

group

)

Clears and frees a EC_GROUP object

Parameters

group

EC_GROUP object to be cleared and freed.

Definition at line 144 of file ec_lib.c.

int EC_GROUP_cmp	(	const EC_GROUP *	a,
		const EC_GROUP *	b,
		BN_CTX *	ctx
	)

Compares two EC_GROUP objects

Parameters

a	first EC_GROUP object
b	second EC_GROUP object
ctx	BN_CTX object (optional)

Returns

0 if both groups are equal and 1 otherwise

Definition at line 473 of file ec_lib.c.

int EC_GROUP_copy	(	EC_GROUP *	dst,
		const EC_GROUP *	src
	)

Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.

Parameters

dst	destination EC_GROUP object
src	source EC_GROUP object

Returns

1 on success and 0 if an error occurred.

Definition at line 171 of file ec_lib.c.

EC_GROUP* EC_GROUP_dup

(

const EC_GROUP *

src

)

Creates a new EC_GROUP object and copies the copies the content form src to the newly created EC_KEY object

Parameters

src	source EC_GROUP object

Returns

newly created EC_GROUP object or NULL in case of an error.

Definition at line 250 of file ec_lib.c.

void EC_GROUP_free

(

EC_GROUP *

group

)

Frees a EC_GROUP object

Parameters

group

EC_GROUP object to be freed.

Definition at line 123 of file ec_lib.c.

const EC_POINT* EC_GROUP_get0_generator

(

const EC_GROUP *

group

)

Returns the generator of a EC_GROUP object.

Parameters

group

EC_GROUP object

Returns

the currently used generator (possibly NULL).

Definition at line 313 of file ec_lib.c.

unsigned char* EC_GROUP_get0_seed

(

const EC_GROUP *

group

)

Definition at line 395 of file ec_lib.c.

int EC_GROUP_get_asn1_flag

(

const EC_GROUP *

group

)

Definition at line 355 of file ec_lib.c.

int EC_GROUP_get_cofactor	(	const EC_GROUP *	group,
		BIGNUM *	cofactor,
		BN_CTX *	ctx
	)

Gets the cofactor of a EC_GROUP

Parameters

group	EC_GROUP object
cofactor	BIGNUM to which the cofactor is copied
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 328 of file ec_lib.c.

int EC_GROUP_get_curve_GF2m	(	const EC_GROUP *	group,
		BIGNUM *	p,
		BIGNUM *	a,
		BIGNUM *	b,
		BN_CTX *	ctx
	)

Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b

Parameters

group	EC_GROUP object
p	BIGNUM for the polynomial defining the underlying field
a	BIGNUM for parameter a of the equation
b	BIGNUM for parameter b of the equation
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 440 of file ec_lib.c.

int EC_GROUP_get_curve_GFp	(	const EC_GROUP *	group,
		BIGNUM *	p,
		BIGNUM *	a,
		BIGNUM *	b,
		BN_CTX *	ctx
	)

Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b

Parameters

group	EC_GROUP object
p	BIGNUM for the prime number
a	BIGNUM for parameter a of the equation
b	BIGNUM for parameter b of the equation
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 418 of file ec_lib.c.

int EC_GROUP_get_curve_name

(

const EC_GROUP *

group

)

Returns the curve name of a EC_GROUP object

Parameters

group

EC_GROUP object

Returns

NID of the curve name OID or 0 if not set.

Definition at line 343 of file ec_lib.c.

int EC_GROUP_get_degree

(

const EC_GROUP *

group

)

Returns the number of bits needed to represent a field element

Parameters

group

EC_GROUP object

Returns

number of bits needed to represent a field element

Definition at line 451 of file ec_lib.c.

int EC_GROUP_get_order	(	const EC_GROUP *	group,
		BIGNUM *	order,
		BN_CTX *	ctx
	)

Gets the order of a EC_GROUP

Parameters

group	EC_GROUP object
order	BIGNUM to which the order is copied
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 319 of file ec_lib.c.

point_conversion_form_t EC_GROUP_get_point_conversion_form

(

const EC_GROUP *

group

)

Definition at line 368 of file ec_lib.c.

size_t EC_GROUP_get_seed_len

(

const EC_GROUP *

group

)

Definition at line 401 of file ec_lib.c.

int EC_GROUP_have_precompute_mult

(

const EC_GROUP *

group

)

Reports whether a precomputation has been done

Parameters

group

EC_GROUP object

Returns

1 if a pre-computation has been done and 0 otherwise

Definition at line 1086 of file ec_lib.c.

const EC_METHOD* EC_GROUP_method_of

(

const EC_GROUP *

group

)

Returns the EC_METHOD of the EC_GROUP object.

Parameters

group

EC_GROUP object

Returns

EC_METHOD used in this EC_GROUP object.

Definition at line 272 of file ec_lib.c.

EC_GROUP* EC_GROUP_new

(

const EC_METHOD *

meth

)

Creates a new EC_GROUP object

Parameters

meth	EC_METHOD to use

Returns

newly created EC_GROUP object or NULL in case of an error.

Definition at line 76 of file ec_lib.c.

int EC_GROUP_precompute_mult	(	EC_GROUP *	group,
		BN_CTX *	ctx
	)

Stores multiples of generator for faster point multiplication

Parameters

group	EC_GROUP object
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 1074 of file ec_lib.c.

void EC_GROUP_set_asn1_flag	(	EC_GROUP *	group,
		int	flag
	)

Definition at line 349 of file ec_lib.c.

int EC_GROUP_set_curve_GF2m	(	EC_GROUP *	group,
		const BIGNUM *	p,
		const BIGNUM *	a,
		const BIGNUM *	b,
		BN_CTX *	ctx
	)

Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b

Parameters

group	EC_GROUP object
p	BIGNUM with the polynomial defining the underlying field
a	BIGNUM with parameter a of the equation
b	BIGNUM with parameter b of the equation
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 429 of file ec_lib.c.

int EC_GROUP_set_curve_GFp	(	EC_GROUP *	group,
		const BIGNUM *	p,
		const BIGNUM *	a,
		const BIGNUM *	b,
		BN_CTX *	ctx
	)

Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b

Parameters

group	EC_GROUP object
p	BIGNUM with the prime number
a	BIGNUM with parameter a of the equation
b	BIGNUM with parameter b of the equation
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 407 of file ec_lib.c.

void EC_GROUP_set_curve_name	(	EC_GROUP *	group,
		int	nid
	)

Sets the name of a EC_GROUP object

Parameters

group	EC_GROUP object
nid	NID of the curve name OID

Definition at line 337 of file ec_lib.c.

int EC_GROUP_set_generator	(	EC_GROUP *	group,
		const EC_POINT *	generator,
		const BIGNUM *	order,
		const BIGNUM *	cofactor
	)

Sets the generator and it's order/cofactor of a EC_GROUP object.

Parameters

group	EC_GROUP object
generator	EC_POINT object with the generator.
order	the order of the group generated by the generator.
cofactor	the index of the sub-group generated by the generator in the group of all points on the elliptic curve.

Returns

1 on success and 0 if an error occured

Definition at line 284 of file ec_lib.c.

void EC_GROUP_set_point_conversion_form	(	EC_GROUP *	group,
		point_conversion_form_t	form
	)

Definition at line 361 of file ec_lib.c.

size_t EC_GROUP_set_seed	(	EC_GROUP *	group,
		const unsigned char *	p,
		size_t	len
	)

Definition at line 374 of file ec_lib.c.

int EC_METHOD_get_field_type

(

const EC_METHOD *

meth

)

Returns the field type of the EC_METHOD.

Parameters

meth	EC_METHOD object

Returns

NID of the underlying field type OID.

Definition at line 278 of file ec_lib.c.

int EC_POINT_add	(	const EC_GROUP *	group,
		EC_POINT *	r,
		const EC_POINT *	a,
		const EC_POINT *	b,
		BN_CTX *	ctx
	)

Computes the sum of two EC_POINT

Parameters

group	underlying EC_GROUP object
r	EC_POINT object for the result (r = a + b)
a	EC_POINT object with the first summand
b	EC_POINT object with the second summand
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 911 of file ec_lib.c.

void EC_POINT_clear_free

(

EC_POINT *

point

)

Clears and frees a EC_POINT object

Parameters

point

EC_POINT object to be cleared and freed

Definition at line 737 of file ec_lib.c.

int EC_POINT_cmp	(	const EC_GROUP *	group,
		const EC_POINT *	a,
		const EC_POINT *	b,
		BN_CTX *	ctx
	)

Compares two EC_POINTs

Parameters

group	underlying EC_GROUP object
a	first EC_POINT object
b	second EC_POINT object
ctx	BN_CTX object (optional)

Returns

0 if both points are equal and a value != 0 otherwise

Definition at line 991 of file ec_lib.c.

int EC_POINT_copy	(	EC_POINT *	dst,
		const EC_POINT *	src
	)

Copies EC_POINT object

Parameters

dst	destination EC_POINT object
src	source EC_POINT object

Returns

1 on success and 0 if an error occured

Definition at line 750 of file ec_lib.c.

int EC_POINT_dbl	(	const EC_GROUP *	group,
		EC_POINT *	r,
		const EC_POINT *	a,
		BN_CTX *	ctx
	)

Computes the double of a EC_POINT

Parameters

group	underlying EC_GROUP object
r	EC_POINT object for the result (r = 2 * a)
a	EC_POINT object
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 927 of file ec_lib.c.

EC_POINT* EC_POINT_dup	(	const EC_POINT *	src,
		const EC_GROUP *	group
	)

Creates a new EC_POINT object and copies the content of the supplied EC_POINT

Parameters

src	source EC_POINT object
group	underlying the EC_GROUP object

Returns

newly created EC_POINT object or NULL if an error occurred

Definition at line 768 of file ec_lib.c.

void EC_POINT_free

(

EC_POINT *

point

)

Frees a EC_POINT object

Parameters

point

EC_POINT object to be freed

Definition at line 727 of file ec_lib.c.

int EC_POINT_get_affine_coordinates_GF2m	(	const EC_GROUP *	group,
		const EC_POINT *	p,
		BIGNUM *	x,
		BIGNUM *	y,
		BN_CTX *	ctx
	)

Gets the affine coordinates of a EC_POINT over GF2m

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM for the x-coordinate
y	BIGNUM for the y-coordinate
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 894 of file ec_lib.c.

int EC_POINT_get_affine_coordinates_GFp	(	const EC_GROUP *	group,
		const EC_POINT *	p,
		BIGNUM *	x,
		BIGNUM *	y,
		BN_CTX *	ctx
	)

Gets the affine coordinates of a EC_POINT over GFp

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM for the x-coordinate
y	BIGNUM for the y-coordinate
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 877 of file ec_lib.c.

int EC_POINT_get_Jprojective_coordinates_GFp	(	const EC_GROUP *	group,
		const EC_POINT *	p,
		BIGNUM *	x,
		BIGNUM *	y,
		BIGNUM *	z,
		BN_CTX *	ctx
	)

Gets the jacobian projective coordinates of a EC_POINT over GFp

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM for the x-coordinate
y	BIGNUM for the y-coordinate
z	BIGNUM for the z-coordinate
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 826 of file ec_lib.c.

int EC_POINT_invert	(	const EC_GROUP *	group,
		EC_POINT *	a,
		BN_CTX *	ctx
	)

Computes the inverse of a EC_POINT

Parameters

group	underlying EC_GROUP object
a	EC_POINT object to be inverted (it's used for the result as well)
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 943 of file ec_lib.c.

int EC_POINT_is_at_infinity	(	const EC_GROUP *	group,
		const EC_POINT *	p
	)

Checks whether the point is the neutral element of the group

Parameters

group	the underlying EC_GROUP object
p	EC_POINT object

Returns

1 if the point is the neutral element and 0 otherwise

Definition at line 959 of file ec_lib.c.

int EC_POINT_is_on_curve	(	const EC_GROUP *	group,
		const EC_POINT *	point,
		BN_CTX *	ctx
	)

Checks whether the point is on the curve

Parameters

group	underlying EC_GROUP object
point	EC_POINT object to check
ctx	BN_CTX object (optional)

Returns

1 if point if on the curve and 0 otherwise

Definition at line 975 of file ec_lib.c.

int EC_POINT_make_affine	(	const EC_GROUP *	group,
		EC_POINT *	point,
		BN_CTX *	ctx
	)

Definition at line 1007 of file ec_lib.c.

const EC_METHOD* EC_POINT_method_of

(

const EC_POINT *

point

)

Returns the EC_METHOD used in EC_POINT object

Parameters

point

EC_POINT object

Returns

the EC_METHOD used

Definition at line 787 of file ec_lib.c.

int EC_POINT_mul	(	const EC_GROUP *	group,
		EC_POINT *	r,
		const BIGNUM *	n,
		const EC_POINT *	q,
		const BIGNUM *	m,
		BN_CTX *	ctx
	)

Computes r = generator * n + q * m

Parameters

group	underlying EC_GROUP object
r	EC_POINT object for the result
n	BIGNUM with the multiplier for the group generator (optional)
q	EC_POINT object with the first factor of the second summand
m	BIGNUM with the second factor of the second summand
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 1060 of file ec_lib.c.

EC_POINT* EC_POINT_new

(

const EC_GROUP *

group

)

Creates a new EC_POINT object for the specified EC_GROUP

Parameters

group

EC_GROUP the underlying EC_GROUP object

Returns

newly created EC_POINT object or NULL if an error occurred

Definition at line 693 of file ec_lib.c.

int EC_POINT_set_affine_coordinates_GF2m	(	const EC_GROUP *	group,
		EC_POINT *	p,
		const BIGNUM *	x,
		const BIGNUM *	y,
		BN_CTX *	ctx
	)

Sets the affine coordinates of a EC_POINT over GF2m

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM with the x-coordinate
y	BIGNUM with the y-coordinate
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 860 of file ec_lib.c.

int EC_POINT_set_affine_coordinates_GFp	(	const EC_GROUP *	group,
		EC_POINT *	p,
		const BIGNUM *	x,
		const BIGNUM *	y,
		BN_CTX *	ctx
	)

Sets the affine coordinates of a EC_POINT over GFp

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM with the x-coordinate
y	BIGNUM with the y-coordinate
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 843 of file ec_lib.c.

int EC_POINT_set_Jprojective_coordinates_GFp	(	const EC_GROUP *	group,
		EC_POINT *	p,
		const BIGNUM *	x,
		const BIGNUM *	y,
		const BIGNUM *	z,
		BN_CTX *	ctx
	)

Sets the jacobian projective coordinates of a EC_POINT over GFp

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM with the x-coordinate
y	BIGNUM with the y-coordinate
z	BIGNUM with the z-coordinate
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 809 of file ec_lib.c.

int EC_POINT_set_to_infinity	(	const EC_GROUP *	group,
		EC_POINT *	point
	)

Sets a point to infinity (neutral element)

Parameters

group	underlying EC_GROUP object
point	EC_POINT to set to infinity

Returns

1 on success and 0 if an error occured

Definition at line 793 of file ec_lib.c.

int EC_POINTs_make_affine	(	const EC_GROUP *	group,
		size_t	num,
		EC_POINT *	points[],
		BN_CTX *	ctx
	)

Definition at line 1023 of file ec_lib.c.

int EC_POINTs_mul	(	const EC_GROUP *	group,
		EC_POINT *	r,
		const BIGNUM *	n,
		size_t	num,
		const EC_POINT *	p[],
		const BIGNUM *	m[],
		BN_CTX *	ctx
	)

Computes r = generator * n sum_{i=0}^num p[i] * m[i]

Parameters

group	underlying EC_GROUP object
r	EC_POINT object for the result
n	BIGNUM with the multiplier for the group generator (optional)
num	number futher summands
p	array of size num of EC_POINT objects
m	array of size num of BIGNUM objects
ctx	BN_CTX object (optional)

Returns

1 on success and 0 if an error occured

Definition at line 1050 of file ec_lib.c.