EC_POINT_add.pod 4.0 KB

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  1. =pod
  2. =head1 NAME
  3. EC_POINT_add, EC_POINT_dbl, EC_POINT_invert, EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp, EC_POINT_make_affine, EC_POINTs_make_affine, EC_POINTs_mul, EC_POINT_mul, EC_GROUP_precompute_mult, EC_GROUP_have_precompute_mult - Functions for performing mathematical operations and tests on EC_POINT objects
  4. =head1 SYNOPSIS
  5. #include <openssl/ec.h>
  6. int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
  7. const EC_POINT *b, BN_CTX *ctx);
  8. int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
  9. int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
  10. int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
  11. int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
  12. int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
  13. int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
  14. int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
  15. EC_POINT *points[], BN_CTX *ctx);
  16. int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num,
  17. const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx);
  18. int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
  19. const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
  20. int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
  21. int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
  22. =head1 DESCRIPTION
  23. EC_POINT_add adds the two points B<a> and B<b> and places the result in B<r>. Similarly EC_POINT_dbl doubles the point B<a> and places the
  24. result in B<r>. In both cases it is valid for B<r> to be one of B<a> or B<b>.
  25. EC_POINT_invert calculates the inverse of the supplied point B<a>. The result is placed back in B<a>.
  26. The function EC_POINT_is_at_infinity tests whether the supplied point is at infinity or not.
  27. EC_POINT_is_on_curve tests whether the supplied point is on the curve or not.
  28. EC_POINT_cmp compares the two supplied points and tests whether or not they are equal.
  29. The functions EC_POINT_make_affine and EC_POINTs_make_affine force the internal representation of the EC_POINT(s) into the affine
  30. co-ordinate system. In the case of EC_POINTs_make_affine the value B<num> provides the number of points in the array B<points> to be
  31. forced.
  32. EC_POINT_mul calculates the value generator * B<n> + B<q> * B<m> and stores the result in B<r>. The value B<n> may be NULL in which case the result is just B<q> * B<m>.
  33. EC_POINTs_mul calculates the value generator * B<n> + B<q[0]> * B<m[0]> + ... + B<q[num-1]> * B<m[num-1]>. As for EC_POINT_mul the value
  34. B<n> may be NULL.
  35. The function EC_GROUP_precompute_mult stores multiples of the generator for faster point multiplication, whilst
  36. EC_GROUP_have_precompute_mult tests whether precomputation has already been done. See L<EC_GROUP_copy(3)> for information
  37. about the generator.
  38. =head1 RETURN VALUES
  39. The following functions return 1 on success or 0 on error: EC_POINT_add, EC_POINT_dbl, EC_POINT_invert, EC_POINT_make_affine,
  40. EC_POINTs_make_affine, EC_POINTs_make_affine, EC_POINT_mul, EC_POINTs_mul and EC_GROUP_precompute_mult.
  41. EC_POINT_is_at_infinity returns 1 if the point is at infinity, or 0 otherwise.
  42. EC_POINT_is_on_curve returns 1 if the point is on the curve, 0 if not, or -1 on error.
  43. EC_POINT_cmp returns 1 if the points are not equal, 0 if they are, or -1 on error.
  44. EC_GROUP_have_precompute_mult return 1 if a precomputation has been done, or 0 if not.
  45. =head1 SEE ALSO
  46. L<crypto(7)>, L<EC_GROUP_new(3)>, L<EC_GROUP_copy(3)>,
  47. L<EC_POINT_new(3)>, L<EC_KEY_new(3)>,
  48. L<EC_GFp_simple_method(3)>, L<d2i_ECPKParameters(3)>
  49. =head1 COPYRIGHT
  50. Copyright 2013-2017 The OpenSSL Project Authors. All Rights Reserved.
  51. Licensed under the OpenSSL license (the "License"). You may not use
  52. this file except in compliance with the License. You can obtain a copy
  53. in the file LICENSE in the source distribution or at
  54. L<https://www.openssl.org/source/license.html>.
  55. =cut