Add m-esr52 at 52.6.0

1 files changed, 513 insertions, 0 deletions

diff --git a/security/nss/lib/freebl/ecl/ecp_jac.c b/security/nss/lib/freebl/ecl/ecp_jac.c
new file mode 100644
index 000000000..535e75903
--- /dev/null
+++ b/security/nss/lib/freebl/ecl/ecp_jac.c
@@ -0,0 +1,513 @@
+/* This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
+
+#include "ecp.h"
+#include "mplogic.h"
+#include <stdlib.h>
+#ifdef ECL_DEBUG
+#include <assert.h>
+#endif
+
+/* Converts a point P(px, py) from affine coordinates to Jacobian
+ * projective coordinates R(rx, ry, rz). Assumes input is already
+ * field-encoded using field_enc, and returns output that is still
+ * field-encoded. */
+mp_err
+ec_GFp_pt_aff2jac(const mp_int *px, const mp_int *py, mp_int *rx,
+                  mp_int *ry, mp_int *rz, const ECGroup *group)
+{
+    mp_err res = MP_OKAY;
+
+    if (ec_GFp_pt_is_inf_aff(px, py) == MP_YES) {
+        MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, rz));
+    } else {
+        MP_CHECKOK(mp_copy(px, rx));
+        MP_CHECKOK(mp_copy(py, ry));
+        MP_CHECKOK(mp_set_int(rz, 1));
+        if (group->meth->field_enc) {
+            MP_CHECKOK(group->meth->field_enc(rz, rz, group->meth));
+        }
+    }
+CLEANUP:
+    return res;
+}
+
+/* Converts a point P(px, py, pz) from Jacobian projective coordinates to
+ * affine coordinates R(rx, ry).  P and R can share x and y coordinates.
+ * Assumes input is already field-encoded using field_enc, and returns
+ * output that is still field-encoded. */
+mp_err
+ec_GFp_pt_jac2aff(const mp_int *px, const mp_int *py, const mp_int *pz,
+                  mp_int *rx, mp_int *ry, const ECGroup *group)
+{
+    mp_err res = MP_OKAY;
+    mp_int z1, z2, z3;
+
+    MP_DIGITS(&z1) = 0;
+    MP_DIGITS(&z2) = 0;
+    MP_DIGITS(&z3) = 0;
+    MP_CHECKOK(mp_init(&z1));
+    MP_CHECKOK(mp_init(&z2));
+    MP_CHECKOK(mp_init(&z3));
+
+    /* if point at infinity, then set point at infinity and exit */
+    if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES) {
+        MP_CHECKOK(ec_GFp_pt_set_inf_aff(rx, ry));
+        goto CLEANUP;
+    }
+
+    /* transform (px, py, pz) into (px / pz^2, py / pz^3) */
+    if (mp_cmp_d(pz, 1) == 0) {
+        MP_CHECKOK(mp_copy(px, rx));
+        MP_CHECKOK(mp_copy(py, ry));
+    } else {
+        MP_CHECKOK(group->meth->field_div(NULL, pz, &z1, group->meth));
+        MP_CHECKOK(group->meth->field_sqr(&z1, &z2, group->meth));
+        MP_CHECKOK(group->meth->field_mul(&z1, &z2, &z3, group->meth));
+        MP_CHECKOK(group->meth->field_mul(px, &z2, rx, group->meth));
+        MP_CHECKOK(group->meth->field_mul(py, &z3, ry, group->meth));
+    }
+
+CLEANUP:
+    mp_clear(&z1);
+    mp_clear(&z2);
+    mp_clear(&z3);
+    return res;
+}
+
+/* Checks if point P(px, py, pz) is at infinity. Uses Jacobian
+ * coordinates. */
+mp_err
+ec_GFp_pt_is_inf_jac(const mp_int *px, const mp_int *py, const mp_int *pz)
+{
+    return mp_cmp_z(pz);
+}
+
+/* Sets P(px, py, pz) to be the point at infinity.  Uses Jacobian
+ * coordinates. */
+mp_err
+ec_GFp_pt_set_inf_jac(mp_int *px, mp_int *py, mp_int *pz)
+{
+    mp_zero(pz);
+    return MP_OKAY;
+}
+
+/* Computes R = P + Q where R is (rx, ry, rz), P is (px, py, pz) and Q is
+ * (qx, qy, 1).  Elliptic curve points P, Q, and R can all be identical.
+ * Uses mixed Jacobian-affine coordinates. Assumes input is already
+ * field-encoded using field_enc, and returns output that is still
+ * field-encoded. Uses equation (2) from Brown, Hankerson, Lopez, and
+ * Menezes. Software Implementation of the NIST Elliptic Curves Over Prime
+ * Fields. */
+mp_err
+ec_GFp_pt_add_jac_aff(const mp_int *px, const mp_int *py, const mp_int *pz,
+                      const mp_int *qx, const mp_int *qy, mp_int *rx,
+                      mp_int *ry, mp_int *rz, const ECGroup *group)
+{
+    mp_err res = MP_OKAY;
+    mp_int A, B, C, D, C2, C3;
+
+    MP_DIGITS(&A) = 0;
+    MP_DIGITS(&B) = 0;
+    MP_DIGITS(&C) = 0;
+    MP_DIGITS(&D) = 0;
+    MP_DIGITS(&C2) = 0;
+    MP_DIGITS(&C3) = 0;
+    MP_CHECKOK(mp_init(&A));
+    MP_CHECKOK(mp_init(&B));
+    MP_CHECKOK(mp_init(&C));
+    MP_CHECKOK(mp_init(&D));
+    MP_CHECKOK(mp_init(&C2));
+    MP_CHECKOK(mp_init(&C3));
+
+    /* If either P or Q is the point at infinity, then return the other
+     * point */
+    if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES) {
+        MP_CHECKOK(ec_GFp_pt_aff2jac(qx, qy, rx, ry, rz, group));
+        goto CLEANUP;
+    }
+    if (ec_GFp_pt_is_inf_aff(qx, qy) == MP_YES) {
+        MP_CHECKOK(mp_copy(px, rx));
+        MP_CHECKOK(mp_copy(py, ry));
+        MP_CHECKOK(mp_copy(pz, rz));
+        goto CLEANUP;
+    }
+
+    /* A = qx * pz^2, B = qy * pz^3 */
+    MP_CHECKOK(group->meth->field_sqr(pz, &A, group->meth));
+    MP_CHECKOK(group->meth->field_mul(&A, pz, &B, group->meth));
+    MP_CHECKOK(group->meth->field_mul(&A, qx, &A, group->meth));
+    MP_CHECKOK(group->meth->field_mul(&B, qy, &B, group->meth));
+
+    /* C = A - px, D = B - py */
+    MP_CHECKOK(group->meth->field_sub(&A, px, &C, group->meth));
+    MP_CHECKOK(group->meth->field_sub(&B, py, &D, group->meth));
+
+    if (mp_cmp_z(&C) == 0) {
+        /* P == Q or P == -Q */
+        if (mp_cmp_z(&D) == 0) {
+            /* P == Q */
+            /* It is cheaper to double (qx, qy, 1) than (px, py, pz). */
+            MP_DIGIT(&D, 0) = 1; /* Set D to 1. */
+            MP_CHECKOK(ec_GFp_pt_dbl_jac(qx, qy, &D, rx, ry, rz, group));
+        } else {
+            /* P == -Q */
+            MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, rz));
+        }
+        goto CLEANUP;
+    }
+
+    /* C2 = C^2, C3 = C^3 */
+    MP_CHECKOK(group->meth->field_sqr(&C, &C2, group->meth));
+    MP_CHECKOK(group->meth->field_mul(&C, &C2, &C3, group->meth));
+
+    /* rz = pz * C */
+    MP_CHECKOK(group->meth->field_mul(pz, &C, rz, group->meth));
+
+    /* C = px * C^2 */
+    MP_CHECKOK(group->meth->field_mul(px, &C2, &C, group->meth));
+    /* A = D^2 */
+    MP_CHECKOK(group->meth->field_sqr(&D, &A, group->meth));
+
+    /* rx = D^2 - (C^3 + 2 * (px * C^2)) */
+    MP_CHECKOK(group->meth->field_add(&C, &C, rx, group->meth));
+    MP_CHECKOK(group->meth->field_add(&C3, rx, rx, group->meth));
+    MP_CHECKOK(group->meth->field_sub(&A, rx, rx, group->meth));
+
+    /* C3 = py * C^3 */
+    MP_CHECKOK(group->meth->field_mul(py, &C3, &C3, group->meth));
+
+    /* ry = D * (px * C^2 - rx) - py * C^3 */
+    MP_CHECKOK(group->meth->field_sub(&C, rx, ry, group->meth));
+    MP_CHECKOK(group->meth->field_mul(&D, ry, ry, group->meth));
+    MP_CHECKOK(group->meth->field_sub(ry, &C3, ry, group->meth));
+
+CLEANUP:
+    mp_clear(&A);
+    mp_clear(&B);
+    mp_clear(&C);
+    mp_clear(&D);
+    mp_clear(&C2);
+    mp_clear(&C3);
+    return res;
+}
+
+/* Computes R = 2P.  Elliptic curve points P and R can be identical.  Uses
+ * Jacobian coordinates.
+ *
+ * Assumes input is already field-encoded using field_enc, and returns
+ * output that is still field-encoded.
+ *
+ * This routine implements Point Doubling in the Jacobian Projective
+ * space as described in the paper "Efficient elliptic curve exponentiation
+ * using mixed coordinates", by H. Cohen, A Miyaji, T. Ono.
+ */
+mp_err
+ec_GFp_pt_dbl_jac(const mp_int *px, const mp_int *py, const mp_int *pz,
+                  mp_int *rx, mp_int *ry, mp_int *rz, const ECGroup *group)
+{
+    mp_err res = MP_OKAY;
+    mp_int t0, t1, M, S;
+
+    MP_DIGITS(&t0) = 0;
+    MP_DIGITS(&t1) = 0;
+    MP_DIGITS(&M) = 0;
+    MP_DIGITS(&S) = 0;
+    MP_CHECKOK(mp_init(&t0));
+    MP_CHECKOK(mp_init(&t1));
+    MP_CHECKOK(mp_init(&M));
+    MP_CHECKOK(mp_init(&S));
+
+    /* P == inf or P == -P */
+    if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES || mp_cmp_z(py) == 0) {
+        MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, rz));
+        goto CLEANUP;
+    }
+
+    if (mp_cmp_d(pz, 1) == 0) {
+        /* M = 3 * px^2 + a */
+        MP_CHECKOK(group->meth->field_sqr(px, &t0, group->meth));
+        MP_CHECKOK(group->meth->field_add(&t0, &t0, &M, group->meth));
+        MP_CHECKOK(group->meth->field_add(&t0, &M, &t0, group->meth));
+        MP_CHECKOK(group->meth->field_add(&t0, &group->curvea, &M, group->meth));
+    } else if (MP_SIGN(&group->curvea) == MP_NEG &&
+               MP_USED(&group->curvea) == 1 &&
+               MP_DIGIT(&group->curvea, 0) == 3) {
+        /* M = 3 * (px + pz^2) * (px - pz^2) */
+        MP_CHECKOK(group->meth->field_sqr(pz, &M, group->meth));
+        MP_CHECKOK(group->meth->field_add(px, &M, &t0, group->meth));
+        MP_CHECKOK(group->meth->field_sub(px, &M, &t1, group->meth));
+        MP_CHECKOK(group->meth->field_mul(&t0, &t1, &M, group->meth));
+        MP_CHECKOK(group->meth->field_add(&M, &M, &t0, group->meth));
+        MP_CHECKOK(group->meth->field_add(&t0, &M, &M, group->meth));
+    } else {
+        /* M = 3 * (px^2) + a * (pz^4) */
+        MP_CHECKOK(group->meth->field_sqr(px, &t0, group->meth));
+        MP_CHECKOK(group->meth->field_add(&t0, &t0, &M, group->meth));
+        MP_CHECKOK(group->meth->field_add(&t0, &M, &t0, group->meth));
+        MP_CHECKOK(group->meth->field_sqr(pz, &M, group->meth));
+        MP_CHECKOK(group->meth->field_sqr(&M, &M, group->meth));
+        MP_CHECKOK(group->meth->field_mul(&M, &group->curvea, &M, group->meth));
+        MP_CHECKOK(group->meth->field_add(&M, &t0, &M, group->meth));
+    }
+
+    /* rz = 2 * py * pz */
+    /* t0 = 4 * py^2 */
+    if (mp_cmp_d(pz, 1) == 0) {
+        MP_CHECKOK(group->meth->field_add(py, py, rz, group->meth));
+        MP_CHECKOK(group->meth->field_sqr(rz, &t0, group->meth));
+    } else {
+        MP_CHECKOK(group->meth->field_add(py, py, &t0, group->meth));
+        MP_CHECKOK(group->meth->field_mul(&t0, pz, rz, group->meth));
+        MP_CHECKOK(group->meth->field_sqr(&t0, &t0, group->meth));
+    }
+
+    /* S = 4 * px * py^2 = px * (2 * py)^2 */
+    MP_CHECKOK(group->meth->field_mul(px, &t0, &S, group->meth));
+
+    /* rx = M^2 - 2 * S */
+    MP_CHECKOK(group->meth->field_add(&S, &S, &t1, group->meth));
+    MP_CHECKOK(group->meth->field_sqr(&M, rx, group->meth));
+    MP_CHECKOK(group->meth->field_sub(rx, &t1, rx, group->meth));
+
+    /* ry = M * (S - rx) - 8 * py^4 */
+    MP_CHECKOK(group->meth->field_sqr(&t0, &t1, group->meth));
+    if (mp_isodd(&t1)) {
+        MP_CHECKOK(mp_add(&t1, &group->meth->irr, &t1));
+    }
+    MP_CHECKOK(mp_div_2(&t1, &t1));
+    MP_CHECKOK(group->meth->field_sub(&S, rx, &S, group->meth));
+    MP_CHECKOK(group->meth->field_mul(&M, &S, &M, group->meth));
+    MP_CHECKOK(group->meth->field_sub(&M, &t1, ry, group->meth));
+
+CLEANUP:
+    mp_clear(&t0);
+    mp_clear(&t1);
+    mp_clear(&M);
+    mp_clear(&S);
+    return res;
+}
+
+/* by default, this routine is unused and thus doesn't need to be compiled */
+#ifdef ECL_ENABLE_GFP_PT_MUL_JAC
+/* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters
+ * a, b and p are the elliptic curve coefficients and the prime that
+ * determines the field GFp.  Elliptic curve points P and R can be
+ * identical.  Uses mixed Jacobian-affine coordinates. Assumes input is
+ * already field-encoded using field_enc, and returns output that is still
+ * field-encoded. Uses 4-bit window method. */
+mp_err
+ec_GFp_pt_mul_jac(const mp_int *n, const mp_int *px, const mp_int *py,
+                  mp_int *rx, mp_int *ry, const ECGroup *group)
+{
+    mp_err res = MP_OKAY;
+    mp_int precomp[16][2], rz;
+    int i, ni, d;
+
+    MP_DIGITS(&rz) = 0;
+    for (i = 0; i < 16; i++) {
+        MP_DIGITS(&precomp[i][0]) = 0;
+        MP_DIGITS(&precomp[i][1]) = 0;
+    }
+
+    ARGCHK(group != NULL, MP_BADARG);
+    ARGCHK((n != NULL) && (px != NULL) && (py != NULL), MP_BADARG);
+
+    /* initialize precomputation table */
+    for (i = 0; i < 16; i++) {
+        MP_CHECKOK(mp_init(&precomp[i][0]));
+        MP_CHECKOK(mp_init(&precomp[i][1]));
+    }
+
+    /* fill precomputation table */
+    mp_zero(&precomp[0][0]);
+    mp_zero(&precomp[0][1]);
+    MP_CHECKOK(mp_copy(px, &precomp[1][0]));
+    MP_CHECKOK(mp_copy(py, &precomp[1][1]));
+    for (i = 2; i < 16; i++) {
+        MP_CHECKOK(group->point_add(&precomp[1][0], &precomp[1][1],
+                                    &precomp[i - 1][0], &precomp[i - 1][1],
+                                    &precomp[i][0], &precomp[i][1], group));
+    }
+
+    d = (mpl_significant_bits(n) + 3) / 4;
+
+    /* R = inf */
+    MP_CHECKOK(mp_init(&rz));
+    MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, &rz));
+
+    for (i = d - 1; i >= 0; i--) {
+        /* compute window ni */
+        ni = MP_GET_BIT(n, 4 * i + 3);
+        ni <<= 1;
+        ni |= MP_GET_BIT(n, 4 * i + 2);
+        ni <<= 1;
+        ni |= MP_GET_BIT(n, 4 * i + 1);
+        ni <<= 1;
+        ni |= MP_GET_BIT(n, 4 * i);
+        /* R = 2^4 * R */
+        MP_CHECKOK(ec_GFp_pt_dbl_jac(rx, ry, &rz, rx, ry, &rz, group));
+        MP_CHECKOK(ec_GFp_pt_dbl_jac(rx, ry, &rz, rx, ry, &rz, group));
+        MP_CHECKOK(ec_GFp_pt_dbl_jac(rx, ry, &rz, rx, ry, &rz, group));
+        MP_CHECKOK(ec_GFp_pt_dbl_jac(rx, ry, &rz, rx, ry, &rz, group));
+        /* R = R + (ni * P) */
+        MP_CHECKOK(ec_GFp_pt_add_jac_aff(rx, ry, &rz, &precomp[ni][0], &precomp[ni][1], rx, ry,
+                                         &rz, group));
+    }
+
+    /* convert result S to affine coordinates */
+    MP_CHECKOK(ec_GFp_pt_jac2aff(rx, ry, &rz, rx, ry, group));
+
+CLEANUP:
+    mp_clear(&rz);
+    for (i = 0; i < 16; i++) {
+        mp_clear(&precomp[i][0]);
+        mp_clear(&precomp[i][1]);
+    }
+    return res;
+}
+#endif
+
+/* Elliptic curve scalar-point multiplication. Computes R(x, y) = k1 * G +
+ * k2 * P(x, y), where G is the generator (base point) of the group of
+ * points on the elliptic curve. Allows k1 = NULL or { k2, P } = NULL.
+ * Uses mixed Jacobian-affine coordinates. Input and output values are
+ * assumed to be NOT field-encoded. Uses algorithm 15 (simultaneous
+ * multiple point multiplication) from Brown, Hankerson, Lopez, Menezes.
+ * Software Implementation of the NIST Elliptic Curves over Prime Fields. */
+mp_err
+ec_GFp_pts_mul_jac(const mp_int *k1, const mp_int *k2, const mp_int *px,
+                   const mp_int *py, mp_int *rx, mp_int *ry,
+                   const ECGroup *group)
+{
+    mp_err res = MP_OKAY;
+    mp_int precomp[4][4][2];
+    mp_int rz;
+    const mp_int *a, *b;
+    unsigned int i, j;
+    int ai, bi, d;
+
+    for (i = 0; i < 4; i++) {
+        for (j = 0; j < 4; j++) {
+            MP_DIGITS(&precomp[i][j][0]) = 0;
+            MP_DIGITS(&precomp[i][j][1]) = 0;
+        }
+    }
+    MP_DIGITS(&rz) = 0;
+
+    ARGCHK(group != NULL, MP_BADARG);
+    ARGCHK(!((k1 == NULL) && ((k2 == NULL) || (px == NULL) || (py == NULL))), MP_BADARG);
+
+    /* if some arguments are not defined used ECPoint_mul */
+    if (k1 == NULL) {
+        return ECPoint_mul(group, k2, px, py, rx, ry);
+    } else if ((k2 == NULL) || (px == NULL) || (py == NULL)) {
+        return ECPoint_mul(group, k1, NULL, NULL, rx, ry);
+    }
+
+    /* initialize precomputation table */
+    for (i = 0; i < 4; i++) {
+        for (j = 0; j < 4; j++) {
+            MP_CHECKOK(mp_init(&precomp[i][j][0]));
+            MP_CHECKOK(mp_init(&precomp[i][j][1]));
+        }
+    }
+
+    /* fill precomputation table */
+    /* assign {k1, k2} = {a, b} such that len(a) >= len(b) */
+    if (mpl_significant_bits(k1) < mpl_significant_bits(k2)) {
+        a = k2;
+        b = k1;
+        if (group->meth->field_enc) {
+            MP_CHECKOK(group->meth->field_enc(px, &precomp[1][0][0], group->meth));
+            MP_CHECKOK(group->meth->field_enc(py, &precomp[1][0][1], group->meth));
+        } else {
+            MP_CHECKOK(mp_copy(px, &precomp[1][0][0]));
+            MP_CHECKOK(mp_copy(py, &precomp[1][0][1]));
+        }
+        MP_CHECKOK(mp_copy(&group->genx, &precomp[0][1][0]));
+        MP_CHECKOK(mp_copy(&group->geny, &precomp[0][1][1]));
+    } else {
+        a = k1;
+        b = k2;
+        MP_CHECKOK(mp_copy(&group->genx, &precomp[1][0][0]));
+        MP_CHECKOK(mp_copy(&group->geny, &precomp[1][0][1]));
+        if (group->meth->field_enc) {
+            MP_CHECKOK(group->meth->field_enc(px, &precomp[0][1][0], group->meth));
+            MP_CHECKOK(group->meth->field_enc(py, &precomp[0][1][1], group->meth));
+        } else {
+            MP_CHECKOK(mp_copy(px, &precomp[0][1][0]));
+            MP_CHECKOK(mp_copy(py, &precomp[0][1][1]));
+        }
+    }
+    /* precompute [*][0][*] */
+    mp_zero(&precomp[0][0][0]);
+    mp_zero(&precomp[0][0][1]);
+    MP_CHECKOK(group->point_dbl(&precomp[1][0][0], &precomp[1][0][1],
+                                &precomp[2][0][0], &precomp[2][0][1], group));
+    MP_CHECKOK(group->point_add(&precomp[1][0][0], &precomp[1][0][1],
+                                &precomp[2][0][0], &precomp[2][0][1],
+                                &precomp[3][0][0], &precomp[3][0][1], group));
+    /* precompute [*][1][*] */
+    for (i = 1; i < 4; i++) {
+        MP_CHECKOK(group->point_add(&precomp[0][1][0], &precomp[0][1][1],
+                                    &precomp[i][0][0], &precomp[i][0][1],
+                                    &precomp[i][1][0], &precomp[i][1][1], group));
+    }
+    /* precompute [*][2][*] */
+    MP_CHECKOK(group->point_dbl(&precomp[0][1][0], &precomp[0][1][1],
+                                &precomp[0][2][0], &precomp[0][2][1], group));
+    for (i = 1; i < 4; i++) {
+        MP_CHECKOK(group->point_add(&precomp[0][2][0], &precomp[0][2][1],
+                                    &precomp[i][0][0], &precomp[i][0][1],
+                                    &precomp[i][2][0], &precomp[i][2][1], group));
+    }
+    /* precompute [*][3][*] */
+    MP_CHECKOK(group->point_add(&precomp[0][1][0], &precomp[0][1][1],
+                                &precomp[0][2][0], &precomp[0][2][1],
+                                &precomp[0][3][0], &precomp[0][3][1], group));
+    for (i = 1; i < 4; i++) {
+        MP_CHECKOK(group->point_add(&precomp[0][3][0], &precomp[0][3][1],
+                                    &precomp[i][0][0], &precomp[i][0][1],
+                                    &precomp[i][3][0], &precomp[i][3][1], group));
+    }
+
+    d = (mpl_significant_bits(a) + 1) / 2;
+
+    /* R = inf */
+    MP_CHECKOK(mp_init(&rz));
+    MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, &rz));
+
+    for (i = d; i-- > 0;) {
+        ai = MP_GET_BIT(a, 2 * i + 1);
+        ai <<= 1;
+        ai |= MP_GET_BIT(a, 2 * i);
+        bi = MP_GET_BIT(b, 2 * i + 1);
+        bi <<= 1;
+        bi |= MP_GET_BIT(b, 2 * i);
+        /* R = 2^2 * R */
+        MP_CHECKOK(ec_GFp_pt_dbl_jac(rx, ry, &rz, rx, ry, &rz, group));
+        MP_CHECKOK(ec_GFp_pt_dbl_jac(rx, ry, &rz, rx, ry, &rz, group));
+        /* R = R + (ai * A + bi * B) */
+        MP_CHECKOK(ec_GFp_pt_add_jac_aff(rx, ry, &rz, &precomp[ai][bi][0], &precomp[ai][bi][1],
+                                         rx, ry, &rz, group));
+    }
+
+    MP_CHECKOK(ec_GFp_pt_jac2aff(rx, ry, &rz, rx, ry, group));
+
+    if (group->meth->field_dec) {
+        MP_CHECKOK(group->meth->field_dec(rx, rx, group->meth));
+        MP_CHECKOK(group->meth->field_dec(ry, ry, group->meth));
+    }
+
+CLEANUP:
+    mp_clear(&rz);
+    for (i = 0; i < 4; i++) {
+        for (j = 0; j < 4; j++) {
+            mp_clear(&precomp[i][j][0]);
+            mp_clear(&precomp[i][j][1]);
+        }
+    }
+    return res;
+}