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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
Gabor Mezeia306d202023-06-06 17:15:52 +020043#ifndef MBEDTLS_ECP_WITH_MPI_UINT
44
45#define MBEDTLS_ECP_WITH_MPI_UINT
46#undef MBEDTLS_ECP_WITH_MPI_UINT
47
48#define MBEDTLS_ECP_WITH_MPI_STRUCT
49#endif
50
Valerio Setti0c477d32023-04-07 15:54:20 +020051#if defined(MBEDTLS_TEST_HOOKS) && defined(MBEDTLS_ECP_LIGHT)
Gilles Peskine80ba8502021-04-03 20:36:37 +020052
Gilles Peskine72fcc982021-03-23 22:31:31 +010053#if defined(MBEDTLS_ECP_MONTGOMERY_ENABLED)
54/** Generate a private key on a Montgomery curve (Curve25519 or Curve448).
55 *
56 * This function implements key generation for the set of secret keys
57 * specified in [Curve25519] p. 5 and in [Curve448]. The resulting value
58 * has the lower bits masked but is not necessarily canonical.
59 *
60 * \note - [Curve25519] http://cr.yp.to/ecdh/curve25519-20060209.pdf
61 * - [RFC7748] https://tools.ietf.org/html/rfc7748
62 *
Gilles Peskine55c46042021-03-24 12:34:40 +010063 * \p high_bit The position of the high-order bit of the key to generate.
Gilles Peskine72fcc982021-03-23 22:31:31 +010064 * This is the bit-size of the key minus 1:
65 * 254 for Curve25519 or 447 for Curve448.
66 * \param d The randomly generated key. This is a number of size
Xiaokang Qiana0896142023-04-18 06:49:55 +000067 * exactly \p high_bit + 1 bits, with the least significant bits
Gilles Peskine72fcc982021-03-23 22:31:31 +010068 * masked as specified in [Curve25519] and in [RFC7748] ยง5.
69 * \param f_rng The RNG function.
70 * \param p_rng The RNG context to be passed to \p f_rng.
71 *
72 * \return \c 0 on success.
73 * \return \c MBEDTLS_ERR_ECP_xxx or MBEDTLS_ERR_MPI_xxx on failure.
74 */
Xiaokang Qiana0896142023-04-18 06:49:55 +000075int mbedtls_ecp_gen_privkey_mx(size_t high_bit,
Gilles Peskine449bd832023-01-11 14:50:10 +010076 mbedtls_mpi *d,
77 int (*f_rng)(void *, unsigned char *, size_t),
78 void *p_rng);
Gilles Peskine72fcc982021-03-23 22:31:31 +010079
80#endif /* MBEDTLS_ECP_MONTGOMERY_ENABLED */
81
Gabor Mezeideece2b2023-01-25 17:57:36 +010082#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
83
Gabor Mezei9b290b32023-01-27 11:00:51 +010084/** Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
85 *
Gabor Mezeia2648312023-02-13 16:29:05 +010086 * This operation expects a 384 bit MPI and the result of the reduction
87 * is a 192 bit MPI.
88 *
Gabor Mezei9b290b32023-01-27 11:00:51 +010089 * \param[in,out] Np The address of the MPI to be converted.
Gabor Mezei0b4b8e32023-02-14 16:36:38 +010090 * Must have twice as many limbs as the modulus.
91 * Upon return this holds the reduced value. The bitlength
92 * of the reduced value is the same as that of the modulus
93 * (192 bits).
Gabor Mezei63aae682023-02-06 16:24:08 +010094 * \param[in] Nn The length of \p Np in limbs.
Gabor Mezei9b290b32023-01-27 11:00:51 +010095 */
Gabor Mezeideece2b2023-01-25 17:57:36 +010096MBEDTLS_STATIC_TESTABLE
Gabor Mezei2038ce92023-01-31 14:33:12 +010097int mbedtls_ecp_mod_p192_raw(mbedtls_mpi_uint *Np, size_t Nn);
Gabor Mezeideece2b2023-01-25 17:57:36 +010098
99#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
100
Gabor Mezeie14b5bd2023-02-08 17:23:03 +0100101#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
102
Gabor Mezeia835d202023-02-23 17:38:00 +0100103/** Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
104 *
Gabor Mezei08a94952023-02-28 18:40:57 +0100105 * \param[in,out] X The address of the MPI to be converted.
106 * Must have exact limb size that stores a 448-bit MPI
107 * (double the bitlength of the modulus).
108 * Upon return holds the reduced value which is
109 * in range `0 <= X < 2 * N` (where N is the modulus).
110 * The bitlength of the reduced value is the same as
111 * that of the modulus (224 bits).
112 * \param[in] X_limbs The length of \p X in limbs.
Gabor Mezeia835d202023-02-23 17:38:00 +0100113 *
114 * \return \c 0 on success.
Gabor Mezei08a94952023-02-28 18:40:57 +0100115 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X_limbs is not the
116 * limb size that sores a 448-bit MPI.
Gabor Mezeia835d202023-02-23 17:38:00 +0100117 */
Gabor Mezeie14b5bd2023-02-08 17:23:03 +0100118MBEDTLS_STATIC_TESTABLE
Gabor Mezei08a94952023-02-28 18:40:57 +0100119int mbedtls_ecp_mod_p224_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Gabor Mezeie14b5bd2023-02-08 17:23:03 +0100120
121#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
122
Gabor Mezei5221c042023-03-01 16:05:21 +0100123#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
124
Gabor Mezeid1f16b92023-03-08 15:26:32 +0100125/** Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
126 *
127 * \param[in,out] X The address of the MPI to be converted.
128 * Must have exact limb size that stores a 512-bit MPI
129 * (double the bitlength of the modulus).
130 * Upon return holds the reduced value which is
131 * in range `0 <= X < 2 * N` (where N is the modulus).
132 * The bitlength of the reduced value is the same as
133 * that of the modulus (256 bits).
134 * \param[in] X_limbs The length of \p X in limbs.
135 *
136 * \return \c 0 on success.
137 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X_limbs is not the
138 * limb size that sores a 512-bit MPI.
139 */
Gabor Mezei5221c042023-03-01 16:05:21 +0100140MBEDTLS_STATIC_TESTABLE
Gabor Mezeied1acf62023-03-01 16:09:13 +0100141int mbedtls_ecp_mod_p256_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Gabor Mezei5221c042023-03-01 16:05:21 +0100142
143#endif
144
Gabor Mezei2cb630e2023-02-01 14:02:16 +0100145#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
146
Gabor Mezeib1c62ca2023-02-06 16:02:05 +0100147/** Fast quasi-reduction modulo p521 = 2^521 - 1 (FIPS 186-3 D.2.5)
148 *
Gabor Mezei7e6fcc12023-02-15 17:51:59 +0100149 * \param[in,out] X The address of the MPI to be converted.
150 * Must have twice as many limbs as the modulus
151 * (the modulus is 521 bits long). Upon return this
152 * holds the reduced value. The reduced value is
153 * in range `0 <= X < 2 * N` (where N is the modulus).
154 * and its the bitlength is one plus the bitlength
155 * of the modulus.
156 * \param[in] X_limbs The length of \p X in limbs.
157 *
158 * \return \c 0 on success.
159 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X_limbs does not have
160 * twice as many limbs as the modulus.
Gabor Mezeib1c62ca2023-02-06 16:02:05 +0100161 */
Gabor Mezei2cb630e2023-02-01 14:02:16 +0100162MBEDTLS_STATIC_TESTABLE
Gabor Mezei7e6fcc12023-02-15 17:51:59 +0100163int mbedtls_ecp_mod_p521_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Gabor Mezei2cb630e2023-02-01 14:02:16 +0100164
165#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
166
Minos Galanakis6fb105f2023-02-22 15:28:20 +0000167#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
168
169/** Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
170 *
171 * \param[in,out] X The address of the MPI to be converted.
Minos Galanakisf9fca532023-03-23 10:36:53 +0000172 * Must have exact limb size that stores a 768-bit MPI
173 * (double the bitlength of the modulus).
Minos Galanakis6fb105f2023-02-22 15:28:20 +0000174 * Upon return holds the reduced value which is
175 * in range `0 <= X < 2 * N` (where N is the modulus).
176 * The bitlength of the reduced value is the same as
177 * that of the modulus (384 bits).
178 * \param[in] X_limbs The length of \p N in limbs.
179 *
180 * \return \c 0 on success.
181 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p N_n does not have
182 * twice as many limbs as the modulus.
183 */
184MBEDTLS_STATIC_TESTABLE
185int mbedtls_ecp_mod_p384_raw(mbedtls_mpi_uint *X, size_t X_limbs);
186
187#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
188
Gabor Mezei1237a342023-04-11 16:22:35 +0200189#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
190
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200191/** Fast quasi-reduction modulo p192k1 = 2^192 - R,
192 * with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x01000011C9
193 *
194 * \param[in,out] X The address of the MPI to be converted.
195 * Must have exact limb size that stores a 384-bit MPI
196 * (double the bitlength of the modulus).
197 * Upon return holds the reduced value which is
198 * in range `0 <= X < 2 * N` (where N is the modulus).
199 * The bitlength of the reduced value is the same as
200 * that of the modulus (192 bits).
201 * \param[in] X_limbs The length of \p X in limbs.
202 *
203 * \return \c 0 on success.
Gabor Mezeid56e6e02023-05-17 17:51:19 +0200204 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X does not have
205 * twice as many limbs as the modulus.
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200206 * \return #MBEDTLS_ERR_ECP_ALLOC_FAILED if memory allocation failed.
Gabor Mezei1237a342023-04-11 16:22:35 +0200207 */
208MBEDTLS_STATIC_TESTABLE
Gabor Mezeidacfe562023-05-02 14:05:13 +0200209int mbedtls_ecp_mod_p192k1_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Gabor Mezei1237a342023-04-11 16:22:35 +0200210
211#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Gabor Mezeie42bb622023-05-02 14:10:57 +0200212
Minos Galanakise5dab972023-04-11 16:42:06 +0100213#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
214
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200215/** Fast quasi-reduction modulo p224k1 = 2^224 - R,
216 * with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
217 *
218 * \param[in,out] X The address of the MPI to be converted.
219 * Must have exact limb size that stores a 448-bit MPI
220 * (double the bitlength of the modulus).
221 * Upon return holds the reduced value which is
222 * in range `0 <= X < 2 * N` (where N is the modulus).
223 * The bitlength of the reduced value is the same as
224 * that of the modulus (224 bits).
225 * \param[in] X_limbs The length of \p X in limbs.
226 *
227 * \return \c 0 on success.
Gabor Mezeid56e6e02023-05-17 17:51:19 +0200228 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X does not have
229 * twice as many limbs as the modulus.
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200230 * \return #MBEDTLS_ERR_ECP_ALLOC_FAILED if memory allocation failed.
231 */
Minos Galanakise5dab972023-04-11 16:42:06 +0100232MBEDTLS_STATIC_TESTABLE
Gabor Mezeie42bb622023-05-02 14:10:57 +0200233int mbedtls_ecp_mod_p224k1_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Minos Galanakise5dab972023-04-11 16:42:06 +0100234
235#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Gabor Mezei1237a342023-04-11 16:22:35 +0200236
Minos Galanakisd6751dc2023-04-11 17:25:31 +0100237#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
238
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200239/** Fast quasi-reduction modulo p256k1 = 2^256 - R,
240 * with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
241 *
242 * \param[in,out] X The address of the MPI to be converted.
243 * Must have exact limb size that stores a 512-bit MPI
244 * (double the bitlength of the modulus).
245 * Upon return holds the reduced value which is
246 * in range `0 <= X < 2 * N` (where N is the modulus).
247 * The bitlength of the reduced value is the same as
248 * that of the modulus (256 bits).
249 * \param[in] X_limbs The length of \p X in limbs.
250 *
251 * \return \c 0 on success.
Gabor Mezeid56e6e02023-05-17 17:51:19 +0200252 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X does not have
253 * twice as many limbs as the modulus.
Gabor Mezeifa3f7412023-05-17 17:35:47 +0200254 * \return #MBEDTLS_ERR_ECP_ALLOC_FAILED if memory allocation failed.
255 */
Minos Galanakisd6751dc2023-04-11 17:25:31 +0100256MBEDTLS_STATIC_TESTABLE
Gabor Mezei03558b82023-05-02 14:12:25 +0200257int mbedtls_ecp_mod_p256k1_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Minos Galanakisd6751dc2023-04-11 17:25:31 +0100258
259#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
260
Minos Galanakisd0292c22023-05-10 15:46:47 +0100261#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
262
Minos Galanakis47249fd2023-05-18 16:16:17 +0100263/** Fast quasi-reduction modulo p255 = 2^255 - 19
264 *
265 * \param[in,out] X The address of the MPI to be converted.
266 * Must have exact limb size that stores a 510-bit MPI
267 * (double the bitlength of the modulus).
268 * Upon return holds the reduced value which is
269 * in range `0 <= X < 2 * N` (where N is the modulus).
Minos Galanakis47249fd2023-05-18 16:16:17 +0100270 * \param[in] X_limbs The length of \p X in limbs.
271 *
272 * \return \c 0 on success.
273 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X does not have
274 * twice as many limbs as the modulus.
275 * \return #MBEDTLS_ERR_ECP_ALLOC_FAILED if memory allocation failed.
276 */
Minos Galanakisd0292c22023-05-10 15:46:47 +0100277MBEDTLS_STATIC_TESTABLE
278int mbedtls_ecp_mod_p255_raw(mbedtls_mpi_uint *X, size_t X_limbs);
279
280#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
281
Paul Elliott47a3c822023-04-23 23:18:50 +0100282#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
283
Paul Elliottee861002023-05-31 12:12:22 +0100284/** Fast quasi-reduction modulo p448 = 2^448 - 2^224 - 1
285 * Write X as A0 + 2^448 A1 and A1 as B0 + 2^224 B1, and return A0 + A1 + B1 +
286 * (B0 + B1) * 2^224.
287 *
288 * \param[in,out] X The address of the MPI to be converted.
289 * Must have exact limb size that stores a 896-bit MPI
290 * (double the bitlength of the modulus). Upon return
291 * holds the reduced value which is in range `0 <= X <
292 * N` (where N is the modulus). The bitlength of the
293 * reduced value is the same as that of the modulus
294 * (448 bits).
295 * \param[in] X_limbs The length of \p X in limbs.
296 *
297 * \return \c 0 on Success.
298 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if \p X does not have
299 * twice as many limbs as the modulus.
300 * \return #MBEDTLS_ERR_ECP_ALLOC_FAILED if memory allocation
301 * failed.
302 */
Paul Elliott47a3c822023-04-23 23:18:50 +0100303MBEDTLS_STATIC_TESTABLE
Paul Elliotta2e48f72023-06-02 16:00:05 +0100304int mbedtls_ecp_mod_p448_raw(mbedtls_mpi_uint *X, size_t X_limbs);
Paul Elliott47a3c822023-04-23 23:18:50 +0100305
306#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
307
Minos Galanakisa30afe22023-02-15 15:36:29 +0000308/** Initialise a modulus with hard-coded const curve data.
309 *
310 * \note The caller is responsible for the \p N modulus' memory.
311 * mbedtls_mpi_mod_modulus_free(&N) should be invoked at the
312 * end of its lifecycle.
313 *
314 * \param[in,out] N The address of the modulus structure to populate.
315 * Must be initialized.
316 * \param[in] id The mbedtls_ecp_group_id for which to initialise the modulus.
Minos Galanakis1d3e3322023-06-09 14:53:30 +0100317 * \param[in] ctype The mbedtls_ecp_modulus_type identifier for a coordinate modulus (P)
Minos Galanakisa30afe22023-02-15 15:36:29 +0000318 * or a scalar modulus (N).
319 *
320 * \return \c 0 if successful.
321 * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if the given MPIs do not
322 * have the correct number of limbs.
323 *
324 */
Minos Galanakisdd556922023-02-03 19:12:21 +0000325MBEDTLS_STATIC_TESTABLE
326int mbedtls_ecp_modulus_setup(mbedtls_mpi_mod_modulus *N,
327 const mbedtls_ecp_group_id id,
Minos Galanakis1d3e3322023-06-09 14:53:30 +0100328 const mbedtls_ecp_modulus_type ctype);
Minos Galanakisdd556922023-02-03 19:12:21 +0000329
Gilles Peskine80ba8502021-04-03 20:36:37 +0200330#endif /* MBEDTLS_TEST_HOOKS && MBEDTLS_ECP_C */
331
332#endif /* MBEDTLS_ECP_INVASIVE_H */