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@@ -50,6 +50,7 @@ const EC_METHOD *EC_GFp_mont_method(void)
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ec_GFp_mont_field_mul,
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ec_GFp_mont_field_sqr,
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0 /* field_div */ ,
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ec_GFp_mont_field_inv,
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ec_GFp_mont_field_encode,
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ec_GFp_mont_field_decode,
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ec_GFp_mont_field_set_to_one,
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@@ -206,6 +207,54 @@ int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
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return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx);
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}
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/*-
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* Computes the multiplicative inverse of a in GF(p), storing the result in r.
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* If a is zero (or equivalent), you'll get a EC_R_CANNOT_INVERT error.
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* We have a Mont structure, so SCA hardening is FLT inversion.
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*/
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int ec_GFp_mont_field_inv(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
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BN_CTX *ctx)
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{
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BIGNUM *e = NULL;
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BN_CTX *new_ctx = NULL;
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int ret = 0;
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if (group->field_data1 == NULL)
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return 0;
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if (ctx == NULL && (ctx = new_ctx = BN_CTX_secure_new()) == NULL)
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return 0;
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BN_CTX_start(ctx);
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if ((e = BN_CTX_get(ctx)) == NULL)
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goto err;
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/* Inverse in constant time with Fermats Little Theorem */
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if (!BN_set_word(e, 2))
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goto err;
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if (!BN_sub(e, group->field, e))
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goto err;
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/*-
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* Exponent e is public.
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* No need for scatter-gather or BN_FLG_CONSTTIME.
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*/
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if (!BN_mod_exp_mont(r, a, e, group->field, ctx, group->field_data1))
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goto err;
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/* throw an error on zero */
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if (BN_is_zero(r)) {
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ECerr(EC_F_EC_GFP_MONT_FIELD_INV, EC_R_CANNOT_INVERT);
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goto err;
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}
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ret = 1;
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err:
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BN_CTX_end(ctx);
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BN_CTX_free(new_ctx);
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return ret;
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}
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int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r,
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const BIGNUM *a, BN_CTX *ctx)
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{
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