Thu, 22 Jan 2015 13:21:57 +0100
Incorporate requested changes from Mozilla in review:
https://bugzilla.mozilla.org/show_bug.cgi?id=1123480#c6
michael@0 | 1 | /* This Source Code Form is subject to the terms of the Mozilla Public |
michael@0 | 2 | * License, v. 2.0. If a copy of the MPL was not distributed with this |
michael@0 | 3 | * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ |
michael@0 | 4 | |
michael@0 | 5 | #ifndef __ecp_h_ |
michael@0 | 6 | #define __ecp_h_ |
michael@0 | 7 | |
michael@0 | 8 | #include "ecl-priv.h" |
michael@0 | 9 | |
michael@0 | 10 | /* Checks if point P(px, py) is at infinity. Uses affine coordinates. */ |
michael@0 | 11 | mp_err ec_GFp_pt_is_inf_aff(const mp_int *px, const mp_int *py); |
michael@0 | 12 | |
michael@0 | 13 | /* Sets P(px, py) to be the point at infinity. Uses affine coordinates. */ |
michael@0 | 14 | mp_err ec_GFp_pt_set_inf_aff(mp_int *px, mp_int *py); |
michael@0 | 15 | |
michael@0 | 16 | /* Computes R = P + Q where R is (rx, ry), P is (px, py) and Q is (qx, |
michael@0 | 17 | * qy). Uses affine coordinates. */ |
michael@0 | 18 | mp_err ec_GFp_pt_add_aff(const mp_int *px, const mp_int *py, |
michael@0 | 19 | const mp_int *qx, const mp_int *qy, mp_int *rx, |
michael@0 | 20 | mp_int *ry, const ECGroup *group); |
michael@0 | 21 | |
michael@0 | 22 | /* Computes R = P - Q. Uses affine coordinates. */ |
michael@0 | 23 | mp_err ec_GFp_pt_sub_aff(const mp_int *px, const mp_int *py, |
michael@0 | 24 | const mp_int *qx, const mp_int *qy, mp_int *rx, |
michael@0 | 25 | mp_int *ry, const ECGroup *group); |
michael@0 | 26 | |
michael@0 | 27 | /* Computes R = 2P. Uses affine coordinates. */ |
michael@0 | 28 | mp_err ec_GFp_pt_dbl_aff(const mp_int *px, const mp_int *py, mp_int *rx, |
michael@0 | 29 | mp_int *ry, const ECGroup *group); |
michael@0 | 30 | |
michael@0 | 31 | /* Validates a point on a GFp curve. */ |
michael@0 | 32 | mp_err ec_GFp_validate_point(const mp_int *px, const mp_int *py, const ECGroup *group); |
michael@0 | 33 | |
michael@0 | 34 | #ifdef ECL_ENABLE_GFP_PT_MUL_AFF |
michael@0 | 35 | /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters |
michael@0 | 36 | * a, b and p are the elliptic curve coefficients and the prime that |
michael@0 | 37 | * determines the field GFp. Uses affine coordinates. */ |
michael@0 | 38 | mp_err ec_GFp_pt_mul_aff(const mp_int *n, const mp_int *px, |
michael@0 | 39 | const mp_int *py, mp_int *rx, mp_int *ry, |
michael@0 | 40 | const ECGroup *group); |
michael@0 | 41 | #endif |
michael@0 | 42 | |
michael@0 | 43 | /* Converts a point P(px, py) from affine coordinates to Jacobian |
michael@0 | 44 | * projective coordinates R(rx, ry, rz). */ |
michael@0 | 45 | mp_err ec_GFp_pt_aff2jac(const mp_int *px, const mp_int *py, mp_int *rx, |
michael@0 | 46 | mp_int *ry, mp_int *rz, const ECGroup *group); |
michael@0 | 47 | |
michael@0 | 48 | /* Converts a point P(px, py, pz) from Jacobian projective coordinates to |
michael@0 | 49 | * affine coordinates R(rx, ry). */ |
michael@0 | 50 | mp_err ec_GFp_pt_jac2aff(const mp_int *px, const mp_int *py, |
michael@0 | 51 | const mp_int *pz, mp_int *rx, mp_int *ry, |
michael@0 | 52 | const ECGroup *group); |
michael@0 | 53 | |
michael@0 | 54 | /* Checks if point P(px, py, pz) is at infinity. Uses Jacobian |
michael@0 | 55 | * coordinates. */ |
michael@0 | 56 | mp_err ec_GFp_pt_is_inf_jac(const mp_int *px, const mp_int *py, |
michael@0 | 57 | const mp_int *pz); |
michael@0 | 58 | |
michael@0 | 59 | /* Sets P(px, py, pz) to be the point at infinity. Uses Jacobian |
michael@0 | 60 | * coordinates. */ |
michael@0 | 61 | mp_err ec_GFp_pt_set_inf_jac(mp_int *px, mp_int *py, mp_int *pz); |
michael@0 | 62 | |
michael@0 | 63 | /* Computes R = P + Q where R is (rx, ry, rz), P is (px, py, pz) and Q is |
michael@0 | 64 | * (qx, qy, qz). Uses Jacobian coordinates. */ |
michael@0 | 65 | mp_err ec_GFp_pt_add_jac_aff(const mp_int *px, const mp_int *py, |
michael@0 | 66 | const mp_int *pz, const mp_int *qx, |
michael@0 | 67 | const mp_int *qy, mp_int *rx, mp_int *ry, |
michael@0 | 68 | mp_int *rz, const ECGroup *group); |
michael@0 | 69 | |
michael@0 | 70 | /* Computes R = 2P. Uses Jacobian coordinates. */ |
michael@0 | 71 | mp_err ec_GFp_pt_dbl_jac(const mp_int *px, const mp_int *py, |
michael@0 | 72 | const mp_int *pz, mp_int *rx, mp_int *ry, |
michael@0 | 73 | mp_int *rz, const ECGroup *group); |
michael@0 | 74 | |
michael@0 | 75 | #ifdef ECL_ENABLE_GFP_PT_MUL_JAC |
michael@0 | 76 | /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters |
michael@0 | 77 | * a, b and p are the elliptic curve coefficients and the prime that |
michael@0 | 78 | * determines the field GFp. Uses Jacobian coordinates. */ |
michael@0 | 79 | mp_err ec_GFp_pt_mul_jac(const mp_int *n, const mp_int *px, |
michael@0 | 80 | const mp_int *py, mp_int *rx, mp_int *ry, |
michael@0 | 81 | const ECGroup *group); |
michael@0 | 82 | #endif |
michael@0 | 83 | |
michael@0 | 84 | /* Computes R(x, y) = k1 * G + k2 * P(x, y), where G is the generator |
michael@0 | 85 | * (base point) of the group of points on the elliptic curve. Allows k1 = |
michael@0 | 86 | * NULL or { k2, P } = NULL. Implemented using mixed Jacobian-affine |
michael@0 | 87 | * coordinates. Input and output values are assumed to be NOT |
michael@0 | 88 | * field-encoded and are in affine form. */ |
michael@0 | 89 | mp_err |
michael@0 | 90 | ec_GFp_pts_mul_jac(const mp_int *k1, const mp_int *k2, const mp_int *px, |
michael@0 | 91 | const mp_int *py, mp_int *rx, mp_int *ry, |
michael@0 | 92 | const ECGroup *group); |
michael@0 | 93 | |
michael@0 | 94 | /* Computes R = nP where R is (rx, ry) and P is the base point. Elliptic |
michael@0 | 95 | * curve points P and R can be identical. Uses mixed Modified-Jacobian |
michael@0 | 96 | * co-ordinates for doubling and Chudnovsky Jacobian coordinates for |
michael@0 | 97 | * additions. Assumes input is already field-encoded using field_enc, and |
michael@0 | 98 | * returns output that is still field-encoded. Uses 5-bit window NAF |
michael@0 | 99 | * method (algorithm 11) for scalar-point multiplication from Brown, |
michael@0 | 100 | * Hankerson, Lopez, Menezes. Software Implementation of the NIST Elliptic |
michael@0 | 101 | * Curves Over Prime Fields. */ |
michael@0 | 102 | mp_err |
michael@0 | 103 | ec_GFp_pt_mul_jm_wNAF(const mp_int *n, const mp_int *px, const mp_int *py, |
michael@0 | 104 | mp_int *rx, mp_int *ry, const ECGroup *group); |
michael@0 | 105 | |
michael@0 | 106 | #endif /* __ecp_h_ */ |