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Gilles Peskine80ba8502021-04-03 20:36:37 +02001/**
2 * \file ecp_invasive.h
3 *
4 * \brief ECP module: interfaces for invasive testing only.
5 *
6 * The interfaces in this file are intended for testing purposes only.
7 * They SHOULD NOT be made available in library integrations except when
8 * building the library for testing.
9 */
10/*
11 * Copyright The Mbed TLS Contributors
12 * SPDX-License-Identifier: Apache-2.0
13 *
14 * Licensed under the Apache License, Version 2.0 (the "License"); you may
15 * not use this file except in compliance with the License.
16 * You may obtain a copy of the License at
17 *
18 * http://www.apache.org/licenses/LICENSE-2.0
19 *
20 * Unless required by applicable law or agreed to in writing, software
21 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
22 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
23 * See the License for the specific language governing permissions and
24 * limitations under the License.
25 */
26#ifndef MBEDTLS_ECP_INVASIVE_H
27#define MBEDTLS_ECP_INVASIVE_H
28
29#include "common.h"
Gilles Peskine72fcc982021-03-23 22:31:31 +010030#include "mbedtls/bignum.h"
Minos Galanakisdd556922023-02-03 19:12:21 +000031#include "bignum_mod.h"
Gilles Peskine80ba8502021-04-03 20:36:37 +020032#include "mbedtls/ecp.h"
33
Gilles Peskine637c0492023-06-15 19:07:41 +020034/*
35 * Curve modulus types
36 */
37typedef enum {
38 MBEDTLS_ECP_MOD_NONE = 0,
39 MBEDTLS_ECP_MOD_COORDINATE,
40 MBEDTLS_ECP_MOD_SCALAR
41} mbedtls_ecp_modulus_type;
42
Valerio Setti0c477d32023-04-07 15:54:20 +020043#if defined(MBEDTLS_TEST_HOOKS) && defined(MBEDTLS_ECP_LIGHT)
Gilles Peskine80ba8502021-04-03 20:36:37 +020044
Gilles Peskine72fcc982021-03-23 22:31:31 +010045#if defined(MBEDTLS_ECP_MONTGOMERY_ENABLED)
46/** Generate a private key on a Montgomery curve (Curve25519 or Curve448).
47 *
48 * This function implements key generation for the set of secret keys
49 * specified in [Curve25519] p. 5 and in [Curve448]. The resulting value
50 * has the lower bits masked but is not necessarily canonical.
51 *
52 * \note - [Curve25519] http://cr.yp.to/ecdh/curve25519-20060209.pdf
53 * - [RFC7748] https://tools.ietf.org/html/rfc7748
54 *
Gilles Peskine55c46042021-03-24 12:34:40 +010055 * \p high_bit The position of the high-order bit of the key to generate.
Gilles Peskine72fcc982021-03-23 22:31:31 +010056 * This is the bit-size of the key minus 1:
57 * 254 for Curve25519 or 447 for Curve448.
58 * \param d The randomly generated key. This is a number of size
Xiaokang Qiana0896142023-04-18 06:49:55 +000059 * exactly \p high_bit + 1 bits, with the least significant bits
Gilles Peskine72fcc982021-03-23 22:31:31 +010060 * masked as specified in [Curve25519] and in [RFC7748] ยง5.
61 * \param f_rng The RNG function.
62 * \param p_rng The RNG context to be passed to \p f_rng.
63 *
64 * \return \c 0 on success.
65 * \return \c MBEDTLS_ERR_ECP_xxx or MBEDTLS_ERR_MPI_xxx on failure.
66 */
Xiaokang Qiana0896142023-04-18 06:49:55 +000067int mbedtls_ecp_gen_privkey_mx(size_t high_bit,
Gilles Peskine449bd832023-01-11 14:50:10 +010068 mbedtls_mpi *d,
69 int (*f_rng)(void *, unsigned char *, size_t),
70 void *p_rng);
Gilles Peskine72fcc982021-03-23 22:31:31 +010071
72#endif /* MBEDTLS_ECP_MONTGOMERY_ENABLED */
73
Gabor Mezeideece2b2023-01-25 17:57:36 +010074#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
75
Gabor Mezei9b290b32023-01-27 11:00:51 +010076/** Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
77 *
Gabor Mezeia2648312023-02-13 16:29:05 +010078 * This operation expects a 384 bit MPI and the result of the reduction
79 * is a 192 bit MPI.
80 *
Gabor Mezei9b290b32023-01-27 11:00:51 +010081 * \param[in,out] Np The address of the MPI to be converted.
Gabor Mezei0b4b8e32023-02-14 16:36:38 +010082 * Must have twice as many limbs as the modulus.
83 * Upon return this holds the reduced value. The bitlength
84 * of the reduced value is the same as that of the modulus
85 * (192 bits).
Gabor Mezei63aae682023-02-06 16:24:08 +010086 * \param[in] Nn The length of \p Np in limbs.
Gabor Mezei9b290b32023-01-27 11:00:51 +010087 */
Gabor Mezeideece2b2023-01-25 17:57:36 +010088MBEDTLS_STATIC_TESTABLE
Gabor Mezei2038ce92023-01-31 14:33:12 +010089int mbedtls_ecp_mod_p192_raw(mbedtls_mpi_uint *Np, size_t Nn);
Gabor Mezeideece2b2023-01-25 17:57:36 +010090
91#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
92
Gabor Mezeie14b5bd2023-02-08 17:23:03 +010093#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
94
Gabor Mezeia835d202023-02-23 17:38:00 +010095/** Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
96 *
Gabor Mezei08a94952023-02-28 18:40:57 +010097 * \param[in,out] X The address of the MPI to be converted.
98 * Must have exact limb size that stores a 448-bit MPI
99 * (double the bitlength of the modulus).
100 * Upon return holds the reduced value which is
101 * in range `0 <= X < 2 * N` (where N is the modulus).
102 * The bitlength of the reduced value is the same as
103 * that of the modulus (224 bits).
104 * \param[in] X_limbs The length of \p X in limbs.
Gabor Mezeia835d202023-02-23 17:38:00 +0100105 *
106 * \return \c 0 on success.
Gabor Mezei08a94952023-02-28 18:40:57 +0100107 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X_limbs is not the
108 * limb size that sores a 448-bit MPI.
Gabor Mezeia835d202023-02-23 17:38:00 +0100109 */
Gabor Mezeie14b5bd2023-02-08 17:23:03 +0100110MBEDTLS_STATIC_TESTABLE
Gabor Mezei08a94952023-02-28 18:40:57 +0100111int mbedtls_ecp_mod_p224_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Gabor Mezeie14b5bd2023-02-08 17:23:03 +0100112
113#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
114
Gabor Mezei5221c042023-03-01 16:05:21 +0100115#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
116
Gabor Mezeid1f16b92023-03-08 15:26:32 +0100117/** Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
118 *
119 * \param[in,out] X The address of the MPI to be converted.
120 * Must have exact limb size that stores a 512-bit MPI
121 * (double the bitlength of the modulus).
122 * Upon return holds the reduced value which is
123 * in range `0 <= X < 2 * N` (where N is the modulus).
124 * The bitlength of the reduced value is the same as
125 * that of the modulus (256 bits).
126 * \param[in] X_limbs The length of \p X in limbs.
127 *
128 * \return \c 0 on success.
129 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X_limbs is not the
130 * limb size that sores a 512-bit MPI.
131 */
Gabor Mezei5221c042023-03-01 16:05:21 +0100132MBEDTLS_STATIC_TESTABLE
Gabor Mezeied1acf62023-03-01 16:09:13 +0100133int mbedtls_ecp_mod_p256_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Gabor Mezei5221c042023-03-01 16:05:21 +0100134
135#endif
136
Gabor Mezei2cb630e2023-02-01 14:02:16 +0100137#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
138
Gabor Mezeib1c62ca2023-02-06 16:02:05 +0100139/** Fast quasi-reduction modulo p521 = 2^521 - 1 (FIPS 186-3 D.2.5)
140 *
Gabor Mezei7e6fcc12023-02-15 17:51:59 +0100141 * \param[in,out] X The address of the MPI to be converted.
142 * Must have twice as many limbs as the modulus
143 * (the modulus is 521 bits long). Upon return this
144 * holds the reduced value. The reduced value is
145 * in range `0 <= X < 2 * N` (where N is the modulus).
146 * and its the bitlength is one plus the bitlength
147 * of the modulus.
148 * \param[in] X_limbs The length of \p X in limbs.
149 *
150 * \return \c 0 on success.
151 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X_limbs does not have
152 * twice as many limbs as the modulus.
Gabor Mezeib1c62ca2023-02-06 16:02:05 +0100153 */
Gabor Mezei2cb630e2023-02-01 14:02:16 +0100154MBEDTLS_STATIC_TESTABLE
Gabor Mezei7e6fcc12023-02-15 17:51:59 +0100155int mbedtls_ecp_mod_p521_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Gabor Mezei2cb630e2023-02-01 14:02:16 +0100156
157#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
158
Minos Galanakis6fb105f2023-02-22 15:28:20 +0000159#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
160
161/** Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
162 *
163 * \param[in,out] X The address of the MPI to be converted.
Minos Galanakisf9fca532023-03-23 10:36:53 +0000164 * Must have exact limb size that stores a 768-bit MPI
165 * (double the bitlength of the modulus).
Minos Galanakis6fb105f2023-02-22 15:28:20 +0000166 * Upon return holds the reduced value which is
167 * in range `0 <= X < 2 * N` (where N is the modulus).
168 * The bitlength of the reduced value is the same as
169 * that of the modulus (384 bits).
170 * \param[in] X_limbs The length of \p N in limbs.
171 *
172 * \return \c 0 on success.
173 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p N_n does not have
174 * twice as many limbs as the modulus.
175 */
176MBEDTLS_STATIC_TESTABLE
177int mbedtls_ecp_mod_p384_raw(mbedtls_mpi_uint *X, size_t X_limbs);
178
179#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
180
Gabor Mezei1237a342023-04-11 16:22:35 +0200181#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
182
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200183/** Fast quasi-reduction modulo p192k1 = 2^192 - R,
184 * with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x01000011C9
185 *
186 * \param[in,out] X The address of the MPI to be converted.
187 * Must have exact limb size that stores a 384-bit MPI
188 * (double the bitlength of the modulus).
189 * Upon return holds the reduced value which is
190 * in range `0 <= X < 2 * N` (where N is the modulus).
191 * The bitlength of the reduced value is the same as
192 * that of the modulus (192 bits).
193 * \param[in] X_limbs The length of \p X in limbs.
194 *
195 * \return \c 0 on success.
Gabor Mezeid56e6e02023-05-17 17:51:19 +0200196 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X does not have
197 * twice as many limbs as the modulus.
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200198 * \return #MBEDTLS_ERR_ECP_ALLOC_FAILED if memory allocation failed.
Gabor Mezei1237a342023-04-11 16:22:35 +0200199 */
200MBEDTLS_STATIC_TESTABLE
Gabor Mezeidacfe562023-05-02 14:05:13 +0200201int mbedtls_ecp_mod_p192k1_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Gabor Mezei1237a342023-04-11 16:22:35 +0200202
203#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Gabor Mezeie42bb622023-05-02 14:10:57 +0200204
Minos Galanakise5dab972023-04-11 16:42:06 +0100205#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
206
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200207/** Fast quasi-reduction modulo p224k1 = 2^224 - R,
208 * with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
209 *
210 * \param[in,out] X The address of the MPI to be converted.
211 * Must have exact limb size that stores a 448-bit MPI
212 * (double the bitlength of the modulus).
213 * Upon return holds the reduced value which is
214 * in range `0 <= X < 2 * N` (where N is the modulus).
215 * The bitlength of the reduced value is the same as
216 * that of the modulus (224 bits).
217 * \param[in] X_limbs The length of \p X in limbs.
218 *
219 * \return \c 0 on success.
Gabor Mezeid56e6e02023-05-17 17:51:19 +0200220 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X does not have
221 * twice as many limbs as the modulus.
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200222 * \return #MBEDTLS_ERR_ECP_ALLOC_FAILED if memory allocation failed.
223 */
Minos Galanakise5dab972023-04-11 16:42:06 +0100224MBEDTLS_STATIC_TESTABLE
Gabor Mezeie42bb622023-05-02 14:10:57 +0200225int mbedtls_ecp_mod_p224k1_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Minos Galanakise5dab972023-04-11 16:42:06 +0100226
227#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Gabor Mezei1237a342023-04-11 16:22:35 +0200228
Minos Galanakisd6751dc2023-04-11 17:25:31 +0100229#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
230
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200231/** Fast quasi-reduction modulo p256k1 = 2^256 - R,
232 * with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
233 *
234 * \param[in,out] X The address of the MPI to be converted.
235 * Must have exact limb size that stores a 512-bit MPI
236 * (double the bitlength of the modulus).
237 * Upon return holds the reduced value which is
238 * in range `0 <= X < 2 * N` (where N is the modulus).
239 * The bitlength of the reduced value is the same as
240 * that of the modulus (256 bits).
241 * \param[in] X_limbs The length of \p X in limbs.
242 *
243 * \return \c 0 on success.
Gabor Mezeid56e6e02023-05-17 17:51:19 +0200244 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X does not have
245 * twice as many limbs as the modulus.
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200246 * \return #MBEDTLS_ERR_ECP_ALLOC_FAILED if memory allocation failed.
247 */
Minos Galanakisd6751dc2023-04-11 17:25:31 +0100248MBEDTLS_STATIC_TESTABLE
Gabor Mezei03558b82023-05-02 14:12:25 +0200249int mbedtls_ecp_mod_p256k1_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Minos Galanakisd6751dc2023-04-11 17:25:31 +0100250
251#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
252
Minos Galanakisd0292c22023-05-10 15:46:47 +0100253#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
254
Minos Galanakis47249fd2023-05-18 16:16:17 +0100255/** Fast quasi-reduction modulo p255 = 2^255 - 19
256 *
257 * \param[in,out] X The address of the MPI to be converted.
258 * Must have exact limb size that stores a 510-bit MPI
259 * (double the bitlength of the modulus).
260 * Upon return holds the reduced value which is
261 * in range `0 <= X < 2 * N` (where N is the modulus).
Minos Galanakis47249fd2023-05-18 16:16:17 +0100262 * \param[in] X_limbs The length of \p X in limbs.
263 *
264 * \return \c 0 on success.
265 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X does not have
266 * twice as many limbs as the modulus.
267 * \return #MBEDTLS_ERR_ECP_ALLOC_FAILED if memory allocation failed.
268 */
Minos Galanakisd0292c22023-05-10 15:46:47 +0100269MBEDTLS_STATIC_TESTABLE
270int mbedtls_ecp_mod_p255_raw(mbedtls_mpi_uint *X, size_t X_limbs);
271
272#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
273
Paul Elliott47a3c822023-04-23 23:18:50 +0100274#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
275
Paul Elliottee861002023-05-31 12:12:22 +0100276/** Fast quasi-reduction modulo p448 = 2^448 - 2^224 - 1
277 * Write X as A0 + 2^448 A1 and A1 as B0 + 2^224 B1, and return A0 + A1 + B1 +
278 * (B0 + B1) * 2^224.
279 *
280 * \param[in,out] X The address of the MPI to be converted.
281 * Must have exact limb size that stores a 896-bit MPI
282 * (double the bitlength of the modulus). Upon return
283 * holds the reduced value which is in range `0 <= X <
284 * N` (where N is the modulus). The bitlength of the
285 * reduced value is the same as that of the modulus
286 * (448 bits).
287 * \param[in] X_limbs The length of \p X in limbs.
288 *
289 * \return \c 0 on Success.
290 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X does not have
291 * twice as many limbs as the modulus.
292 * \return #MBEDTLS_ERR_ECP_ALLOC_FAILED if memory allocation
293 * failed.
294 */
Paul Elliott47a3c822023-04-23 23:18:50 +0100295MBEDTLS_STATIC_TESTABLE
Paul Elliotta2e48f72023-06-02 16:00:05 +0100296int mbedtls_ecp_mod_p448_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Paul Elliott47a3c822023-04-23 23:18:50 +0100297
298#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
299
Minos Galanakisa30afe22023-02-15 15:36:29 +0000300/** Initialise a modulus with hard-coded const curve data.
301 *
302 * \note The caller is responsible for the \p N modulus' memory.
303 * mbedtls_mpi_mod_modulus_free(&N) should be invoked at the
304 * end of its lifecycle.
305 *
306 * \param[in,out] N The address of the modulus structure to populate.
307 * Must be initialized.
308 * \param[in] id The mbedtls_ecp_group_id for which to initialise the modulus.
Minos Galanakis1d3e3322023-06-09 14:53:30 +0100309 * \param[in] ctype The mbedtls_ecp_modulus_type identifier for a coordinate modulus (P)
Minos Galanakisa30afe22023-02-15 15:36:29 +0000310 * or a scalar modulus (N).
311 *
312 * \return \c 0 if successful.
313 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if the given MPIs do not
314 * have the correct number of limbs.
315 *
316 */
Minos Galanakisdd556922023-02-03 19:12:21 +0000317MBEDTLS_STATIC_TESTABLE
318int mbedtls_ecp_modulus_setup(mbedtls_mpi_mod_modulus *N,
319 const mbedtls_ecp_group_id id,
Minos Galanakis1d3e3322023-06-09 14:53:30 +0100320 const mbedtls_ecp_modulus_type ctype);
Minos Galanakisdd556922023-02-03 19:12:21 +0000321
Gilles Peskine80ba8502021-04-03 20:36:37 +0200322#endif /* MBEDTLS_TEST_HOOKS && MBEDTLS_ECP_C */
323
324#endif /* MBEDTLS_ECP_INVASIVE_H */