1 /**
2  * \file rsa.h
3  *
4  * \brief This file provides an API for the RSA public-key cryptosystem.
5  *
6  * The RSA public-key cryptosystem is defined in <em>Public-Key
7  * Cryptography Standards (PKCS) #1 v1.5: RSA Encryption</em>
8  * and <em>Public-Key Cryptography Standards (PKCS) #1 v2.1:
9  * RSA Cryptography Specifications</em>.
10  *
11  */
12 /*
13  *  Copyright The Mbed TLS Contributors
14  *  SPDX-License-Identifier: Apache-2.0
15  *
16  *  Licensed under the Apache License, Version 2.0 (the "License"); you may
17  *  not use this file except in compliance with the License.
18  *  You may obtain a copy of the License at
19  *
20  *  http://www.apache.org/licenses/LICENSE-2.0
21  *
22  *  Unless required by applicable law or agreed to in writing, software
23  *  distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
24  *  WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
25  *  See the License for the specific language governing permissions and
26  *  limitations under the License.
27  */
28 #ifndef MBEDTLS_RSA_H
29 #define MBEDTLS_RSA_H
30 
31 #if !defined(MBEDTLS_CONFIG_FILE)
32 #include "mbedtls/config.h"
33 #else
34 #include MBEDTLS_CONFIG_FILE
35 #endif
36 
37 #include "mbedtls/bignum.h"
38 #include "mbedtls/md.h"
39 
40 #if defined(MBEDTLS_THREADING_C)
41 #include "mbedtls/threading.h"
42 #endif
43 
44 /*
45  * RSA Error codes
46  */
47 /** Bad input parameters to function. */
48 #define MBEDTLS_ERR_RSA_BAD_INPUT_DATA                    -0x4080
49 /** Input data contains invalid padding and is rejected. */
50 #define MBEDTLS_ERR_RSA_INVALID_PADDING                   -0x4100
51 /** Something failed during generation of a key. */
52 #define MBEDTLS_ERR_RSA_KEY_GEN_FAILED                    -0x4180
53 /** Key failed to pass the validity check of the library. */
54 #define MBEDTLS_ERR_RSA_KEY_CHECK_FAILED                  -0x4200
55 /** The public key operation failed. */
56 #define MBEDTLS_ERR_RSA_PUBLIC_FAILED                     -0x4280
57 /** The private key operation failed. */
58 #define MBEDTLS_ERR_RSA_PRIVATE_FAILED                    -0x4300
59 /** The PKCS#1 verification failed. */
60 #define MBEDTLS_ERR_RSA_VERIFY_FAILED                     -0x4380
61 /** The output buffer for decryption is not large enough. */
62 #define MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE                  -0x4400
63 /** The random generator failed to generate non-zeros. */
64 #define MBEDTLS_ERR_RSA_RNG_FAILED                        -0x4480
65 
66 /* MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION is deprecated and should not be used.
67  */
68 /** The implementation does not offer the requested operation, for example, because of security violations or lack of functionality. */
69 #define MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION             -0x4500
70 
71 /* MBEDTLS_ERR_RSA_HW_ACCEL_FAILED is deprecated and should not be used. */
72 /** RSA hardware accelerator failed. */
73 #define MBEDTLS_ERR_RSA_HW_ACCEL_FAILED                   -0x4580
74 
75 /*
76  * RSA constants
77  */
78 #define MBEDTLS_RSA_PUBLIC      0 /**< Request private key operation. */
79 #define MBEDTLS_RSA_PRIVATE     1 /**< Request public key operation. */
80 
81 #define MBEDTLS_RSA_PKCS_V15    0 /**< Use PKCS#1 v1.5 encoding. */
82 #define MBEDTLS_RSA_PKCS_V21    1 /**< Use PKCS#1 v2.1 encoding. */
83 
84 #define MBEDTLS_RSA_SIGN        1 /**< Identifier for RSA signature operations. */
85 #define MBEDTLS_RSA_CRYPT       2 /**< Identifier for RSA encryption and decryption operations. */
86 
87 #define MBEDTLS_RSA_SALT_LEN_ANY    -1
88 
89 /*
90  * The above constants may be used even if the RSA module is compile out,
91  * eg for alternative (PKCS#11) RSA implementations in the PK layers.
92  */
93 
94 #ifdef __cplusplus
95 extern "C" {
96 #endif
97 
98 #if !defined(MBEDTLS_RSA_ALT)
99 // Regular implementation
100 //
101 
102 /**
103  * \brief   The RSA context structure.
104  *
105  * \note    Direct manipulation of the members of this structure
106  *          is deprecated. All manipulation should instead be done through
107  *          the public interface functions.
108  */
109 typedef struct mbedtls_rsa_context
110 {
111     int ver;                    /*!<  Reserved for internal purposes.
112                                  *    Do not set this field in application
113                                  *    code. Its meaning might change without
114                                  *    notice. */
115     size_t len;                 /*!<  The size of \p N in Bytes. */
116 
117     mbedtls_mpi N;              /*!<  The public modulus. */
118     mbedtls_mpi E;              /*!<  The public exponent. */
119 
120     mbedtls_mpi D;              /*!<  The private exponent. */
121     mbedtls_mpi P;              /*!<  The first prime factor. */
122     mbedtls_mpi Q;              /*!<  The second prime factor. */
123 
124     mbedtls_mpi DP;             /*!<  <code>D % (P - 1)</code>. */
125     mbedtls_mpi DQ;             /*!<  <code>D % (Q - 1)</code>. */
126     mbedtls_mpi QP;             /*!<  <code>1 / (Q % P)</code>. */
127 
128     mbedtls_mpi RN;             /*!<  cached <code>R^2 mod N</code>. */
129 
130     mbedtls_mpi RP;             /*!<  cached <code>R^2 mod P</code>. */
131     mbedtls_mpi RQ;             /*!<  cached <code>R^2 mod Q</code>. */
132 
133     mbedtls_mpi Vi;             /*!<  The cached blinding value. */
134     mbedtls_mpi Vf;             /*!<  The cached un-blinding value. */
135 
136     int padding;                /*!< Selects padding mode:
137                                      #MBEDTLS_RSA_PKCS_V15 for 1.5 padding and
138                                      #MBEDTLS_RSA_PKCS_V21 for OAEP or PSS. */
139     int hash_id;                /*!< Hash identifier of mbedtls_md_type_t type,
140                                      as specified in md.h for use in the MGF
141                                      mask generating function used in the
142                                      EME-OAEP and EMSA-PSS encodings. */
143 #if defined(MBEDTLS_THREADING_C)
144     /* Invariant: the mutex is initialized iff ver != 0. */
145     mbedtls_threading_mutex_t mutex;    /*!<  Thread-safety mutex. */
146 #endif
147 }
148 mbedtls_rsa_context;
149 
150 #else  /* MBEDTLS_RSA_ALT */
151 #include "rsa_alt.h"
152 #endif /* MBEDTLS_RSA_ALT */
153 
154 /**
155  * \brief          This function initializes an RSA context.
156  *
157  * \note           Set padding to #MBEDTLS_RSA_PKCS_V21 for the RSAES-OAEP
158  *                 encryption scheme and the RSASSA-PSS signature scheme.
159  *
160  * \note           The \p hash_id parameter is ignored when using
161  *                 #MBEDTLS_RSA_PKCS_V15 padding.
162  *
163  * \note           The choice of padding mode is strictly enforced for private key
164  *                 operations, since there might be security concerns in
165  *                 mixing padding modes. For public key operations it is
166  *                 a default value, which can be overridden by calling specific
167  *                 \c rsa_rsaes_xxx or \c rsa_rsassa_xxx functions.
168  *
169  * \note           The hash selected in \p hash_id is always used for OEAP
170  *                 encryption. For PSS signatures, it is always used for
171  *                 making signatures, but can be overridden for verifying them.
172  *                 If set to #MBEDTLS_MD_NONE, it is always overridden.
173  *
174  * \param ctx      The RSA context to initialize. This must not be \c NULL.
175  * \param padding  The padding mode to use. This must be either
176  *                 #MBEDTLS_RSA_PKCS_V15 or #MBEDTLS_RSA_PKCS_V21.
177  * \param hash_id  The hash identifier of ::mbedtls_md_type_t type, if
178  *                 \p padding is #MBEDTLS_RSA_PKCS_V21. It is unused
179  *                 otherwise.
180  */
181 void mbedtls_rsa_init( mbedtls_rsa_context *ctx,
182                        int padding,
183                        int hash_id );
184 
185 /**
186  * \brief          This function imports a set of core parameters into an
187  *                 RSA context.
188  *
189  * \note           This function can be called multiple times for successive
190  *                 imports, if the parameters are not simultaneously present.
191  *
192  *                 Any sequence of calls to this function should be followed
193  *                 by a call to mbedtls_rsa_complete(), which checks and
194  *                 completes the provided information to a ready-for-use
195  *                 public or private RSA key.
196  *
197  * \note           See mbedtls_rsa_complete() for more information on which
198  *                 parameters are necessary to set up a private or public
199  *                 RSA key.
200  *
201  * \note           The imported parameters are copied and need not be preserved
202  *                 for the lifetime of the RSA context being set up.
203  *
204  * \param ctx      The initialized RSA context to store the parameters in.
205  * \param N        The RSA modulus. This may be \c NULL.
206  * \param P        The first prime factor of \p N. This may be \c NULL.
207  * \param Q        The second prime factor of \p N. This may be \c NULL.
208  * \param D        The private exponent. This may be \c NULL.
209  * \param E        The public exponent. This may be \c NULL.
210  *
211  * \return         \c 0 on success.
212  * \return         A non-zero error code on failure.
213  */
214 int mbedtls_rsa_import( mbedtls_rsa_context *ctx,
215                         const mbedtls_mpi *N,
216                         const mbedtls_mpi *P, const mbedtls_mpi *Q,
217                         const mbedtls_mpi *D, const mbedtls_mpi *E );
218 
219 /**
220  * \brief          This function imports core RSA parameters, in raw big-endian
221  *                 binary format, into an RSA context.
222  *
223  * \note           This function can be called multiple times for successive
224  *                 imports, if the parameters are not simultaneously present.
225  *
226  *                 Any sequence of calls to this function should be followed
227  *                 by a call to mbedtls_rsa_complete(), which checks and
228  *                 completes the provided information to a ready-for-use
229  *                 public or private RSA key.
230  *
231  * \note           See mbedtls_rsa_complete() for more information on which
232  *                 parameters are necessary to set up a private or public
233  *                 RSA key.
234  *
235  * \note           The imported parameters are copied and need not be preserved
236  *                 for the lifetime of the RSA context being set up.
237  *
238  * \param ctx      The initialized RSA context to store the parameters in.
239  * \param N        The RSA modulus. This may be \c NULL.
240  * \param N_len    The Byte length of \p N; it is ignored if \p N == NULL.
241  * \param P        The first prime factor of \p N. This may be \c NULL.
242  * \param P_len    The Byte length of \p P; it ns ignored if \p P == NULL.
243  * \param Q        The second prime factor of \p N. This may be \c NULL.
244  * \param Q_len    The Byte length of \p Q; it is ignored if \p Q == NULL.
245  * \param D        The private exponent. This may be \c NULL.
246  * \param D_len    The Byte length of \p D; it is ignored if \p D == NULL.
247  * \param E        The public exponent. This may be \c NULL.
248  * \param E_len    The Byte length of \p E; it is ignored if \p E == NULL.
249  *
250  * \return         \c 0 on success.
251  * \return         A non-zero error code on failure.
252  */
253 int mbedtls_rsa_import_raw( mbedtls_rsa_context *ctx,
254                             unsigned char const *N, size_t N_len,
255                             unsigned char const *P, size_t P_len,
256                             unsigned char const *Q, size_t Q_len,
257                             unsigned char const *D, size_t D_len,
258                             unsigned char const *E, size_t E_len );
259 
260 /**
261  * \brief          This function completes an RSA context from
262  *                 a set of imported core parameters.
263  *
264  *                 To setup an RSA public key, precisely \p N and \p E
265  *                 must have been imported.
266  *
267  *                 To setup an RSA private key, sufficient information must
268  *                 be present for the other parameters to be derivable.
269  *
270  *                 The default implementation supports the following:
271  *                 <ul><li>Derive \p P, \p Q from \p N, \p D, \p E.</li>
272  *                 <li>Derive \p N, \p D from \p P, \p Q, \p E.</li></ul>
273  *                 Alternative implementations need not support these.
274  *
275  *                 If this function runs successfully, it guarantees that
276  *                 the RSA context can be used for RSA operations without
277  *                 the risk of failure or crash.
278  *
279  * \warning        This function need not perform consistency checks
280  *                 for the imported parameters. In particular, parameters that
281  *                 are not needed by the implementation might be silently
282  *                 discarded and left unchecked. To check the consistency
283  *                 of the key material, see mbedtls_rsa_check_privkey().
284  *
285  * \param ctx      The initialized RSA context holding imported parameters.
286  *
287  * \return         \c 0 on success.
288  * \return         #MBEDTLS_ERR_RSA_BAD_INPUT_DATA if the attempted derivations
289  *                 failed.
290  *
291  */
292 int mbedtls_rsa_complete( mbedtls_rsa_context *ctx );
293 
294 /**
295  * \brief          This function exports the core parameters of an RSA key.
296  *
297  *                 If this function runs successfully, the non-NULL buffers
298  *                 pointed to by \p N, \p P, \p Q, \p D, and \p E are fully
299  *                 written, with additional unused space filled leading by
300  *                 zero Bytes.
301  *
302  *                 Possible reasons for returning
303  *                 #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED:<ul>
304  *                 <li>An alternative RSA implementation is in use, which
305  *                 stores the key externally, and either cannot or should
306  *                 not export it into RAM.</li>
307  *                 <li>A SW or HW implementation might not support a certain
308  *                 deduction. For example, \p P, \p Q from \p N, \p D,
309  *                 and \p E if the former are not part of the
310  *                 implementation.</li></ul>
311  *
312  *                 If the function fails due to an unsupported operation,
313  *                 the RSA context stays intact and remains usable.
314  *
315  * \param ctx      The initialized RSA context.
316  * \param N        The MPI to hold the RSA modulus.
317  *                 This may be \c NULL if this field need not be exported.
318  * \param P        The MPI to hold the first prime factor of \p N.
319  *                 This may be \c NULL if this field need not be exported.
320  * \param Q        The MPI to hold the second prime factor of \p N.
321  *                 This may be \c NULL if this field need not be exported.
322  * \param D        The MPI to hold the private exponent.
323  *                 This may be \c NULL if this field need not be exported.
324  * \param E        The MPI to hold the public exponent.
325  *                 This may be \c NULL if this field need not be exported.
326  *
327  * \return         \c 0 on success.
328  * \return         #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED if exporting the
329  *                 requested parameters cannot be done due to missing
330  *                 functionality or because of security policies.
331  * \return         A non-zero return code on any other failure.
332  *
333  */
334 int mbedtls_rsa_export( const mbedtls_rsa_context *ctx,
335                         mbedtls_mpi *N, mbedtls_mpi *P, mbedtls_mpi *Q,
336                         mbedtls_mpi *D, mbedtls_mpi *E );
337 
338 /**
339  * \brief          This function exports core parameters of an RSA key
340  *                 in raw big-endian binary format.
341  *
342  *                 If this function runs successfully, the non-NULL buffers
343  *                 pointed to by \p N, \p P, \p Q, \p D, and \p E are fully
344  *                 written, with additional unused space filled leading by
345  *                 zero Bytes.
346  *
347  *                 Possible reasons for returning
348  *                 #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED:<ul>
349  *                 <li>An alternative RSA implementation is in use, which
350  *                 stores the key externally, and either cannot or should
351  *                 not export it into RAM.</li>
352  *                 <li>A SW or HW implementation might not support a certain
353  *                 deduction. For example, \p P, \p Q from \p N, \p D,
354  *                 and \p E if the former are not part of the
355  *                 implementation.</li></ul>
356  *                 If the function fails due to an unsupported operation,
357  *                 the RSA context stays intact and remains usable.
358  *
359  * \note           The length parameters are ignored if the corresponding
360  *                 buffer pointers are NULL.
361  *
362  * \param ctx      The initialized RSA context.
363  * \param N        The Byte array to store the RSA modulus,
364  *                 or \c NULL if this field need not be exported.
365  * \param N_len    The size of the buffer for the modulus.
366  * \param P        The Byte array to hold the first prime factor of \p N,
367  *                 or \c NULL if this field need not be exported.
368  * \param P_len    The size of the buffer for the first prime factor.
369  * \param Q        The Byte array to hold the second prime factor of \p N,
370  *                 or \c NULL if this field need not be exported.
371  * \param Q_len    The size of the buffer for the second prime factor.
372  * \param D        The Byte array to hold the private exponent,
373  *                 or \c NULL if this field need not be exported.
374  * \param D_len    The size of the buffer for the private exponent.
375  * \param E        The Byte array to hold the public exponent,
376  *                 or \c NULL if this field need not be exported.
377  * \param E_len    The size of the buffer for the public exponent.
378  *
379  * \return         \c 0 on success.
380  * \return         #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED if exporting the
381  *                 requested parameters cannot be done due to missing
382  *                 functionality or because of security policies.
383  * \return         A non-zero return code on any other failure.
384  */
385 int mbedtls_rsa_export_raw( const mbedtls_rsa_context *ctx,
386                             unsigned char *N, size_t N_len,
387                             unsigned char *P, size_t P_len,
388                             unsigned char *Q, size_t Q_len,
389                             unsigned char *D, size_t D_len,
390                             unsigned char *E, size_t E_len );
391 
392 /**
393  * \brief          This function exports CRT parameters of a private RSA key.
394  *
395  * \note           Alternative RSA implementations not using CRT-parameters
396  *                 internally can implement this function based on
397  *                 mbedtls_rsa_deduce_opt().
398  *
399  * \param ctx      The initialized RSA context.
400  * \param DP       The MPI to hold \c D modulo `P-1`,
401  *                 or \c NULL if it need not be exported.
402  * \param DQ       The MPI to hold \c D modulo `Q-1`,
403  *                 or \c NULL if it need not be exported.
404  * \param QP       The MPI to hold modular inverse of \c Q modulo \c P,
405  *                 or \c NULL if it need not be exported.
406  *
407  * \return         \c 0 on success.
408  * \return         A non-zero error code on failure.
409  *
410  */
411 int mbedtls_rsa_export_crt( const mbedtls_rsa_context *ctx,
412                             mbedtls_mpi *DP, mbedtls_mpi *DQ, mbedtls_mpi *QP );
413 
414 /**
415  * \brief          This function sets padding for an already initialized RSA
416  *                 context. See mbedtls_rsa_init() for details.
417  *
418  * \param ctx      The initialized RSA context to be configured.
419  * \param padding  The padding mode to use. This must be either
420  *                 #MBEDTLS_RSA_PKCS_V15 or #MBEDTLS_RSA_PKCS_V21.
421  * \param hash_id  The #MBEDTLS_RSA_PKCS_V21 hash identifier.
422  */
423 void mbedtls_rsa_set_padding( mbedtls_rsa_context *ctx, int padding,
424                               int hash_id );
425 
426 /**
427  * \brief          This function retrieves the length of RSA modulus in Bytes.
428  *
429  * \param ctx      The initialized RSA context.
430  *
431  * \return         The length of the RSA modulus in Bytes.
432  *
433  */
434 size_t mbedtls_rsa_get_len( const mbedtls_rsa_context *ctx );
435 
436 /**
437  * \brief          This function generates an RSA keypair.
438  *
439  * \note           mbedtls_rsa_init() must be called before this function,
440  *                 to set up the RSA context.
441  *
442  * \param ctx      The initialized RSA context used to hold the key.
443  * \param f_rng    The RNG function to be used for key generation.
444  *                 This must not be \c NULL.
445  * \param p_rng    The RNG context to be passed to \p f_rng.
446  *                 This may be \c NULL if \p f_rng doesn't need a context.
447  * \param nbits    The size of the public key in bits.
448  * \param exponent The public exponent to use. For example, \c 65537.
449  *                 This must be odd and greater than \c 1.
450  *
451  * \return         \c 0 on success.
452  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
453  */
454 int mbedtls_rsa_gen_key( mbedtls_rsa_context *ctx,
455                          int (*f_rng)(void *, unsigned char *, size_t),
456                          void *p_rng,
457                          unsigned int nbits, int exponent );
458 
459 /**
460  * \brief          This function checks if a context contains at least an RSA
461  *                 public key.
462  *
463  *                 If the function runs successfully, it is guaranteed that
464  *                 enough information is present to perform an RSA public key
465  *                 operation using mbedtls_rsa_public().
466  *
467  * \param ctx      The initialized RSA context to check.
468  *
469  * \return         \c 0 on success.
470  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
471  *
472  */
473 int mbedtls_rsa_check_pubkey( const mbedtls_rsa_context *ctx );
474 
475 /**
476  * \brief      This function checks if a context contains an RSA private key
477  *             and perform basic consistency checks.
478  *
479  * \note       The consistency checks performed by this function not only
480  *             ensure that mbedtls_rsa_private() can be called successfully
481  *             on the given context, but that the various parameters are
482  *             mutually consistent with high probability, in the sense that
483  *             mbedtls_rsa_public() and mbedtls_rsa_private() are inverses.
484  *
485  * \warning    This function should catch accidental misconfigurations
486  *             like swapping of parameters, but it cannot establish full
487  *             trust in neither the quality nor the consistency of the key
488  *             material that was used to setup the given RSA context:
489  *             <ul><li>Consistency: Imported parameters that are irrelevant
490  *             for the implementation might be silently dropped. If dropped,
491  *             the current function does not have access to them,
492  *             and therefore cannot check them. See mbedtls_rsa_complete().
493  *             If you want to check the consistency of the entire
494  *             content of an PKCS1-encoded RSA private key, for example, you
495  *             should use mbedtls_rsa_validate_params() before setting
496  *             up the RSA context.
497  *             Additionally, if the implementation performs empirical checks,
498  *             these checks substantiate but do not guarantee consistency.</li>
499  *             <li>Quality: This function is not expected to perform
500  *             extended quality assessments like checking that the prime
501  *             factors are safe. Additionally, it is the responsibility of the
502  *             user to ensure the trustworthiness of the source of his RSA
503  *             parameters, which goes beyond what is effectively checkable
504  *             by the library.</li></ul>
505  *
506  * \param ctx  The initialized RSA context to check.
507  *
508  * \return     \c 0 on success.
509  * \return     An \c MBEDTLS_ERR_RSA_XXX error code on failure.
510  */
511 int mbedtls_rsa_check_privkey( const mbedtls_rsa_context *ctx );
512 
513 /**
514  * \brief          This function checks a public-private RSA key pair.
515  *
516  *                 It checks each of the contexts, and makes sure they match.
517  *
518  * \param pub      The initialized RSA context holding the public key.
519  * \param prv      The initialized RSA context holding the private key.
520  *
521  * \return         \c 0 on success.
522  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
523  */
524 int mbedtls_rsa_check_pub_priv( const mbedtls_rsa_context *pub,
525                                 const mbedtls_rsa_context *prv );
526 
527 /**
528  * \brief          This function performs an RSA public key operation.
529  *
530  * \param ctx      The initialized RSA context to use.
531  * \param input    The input buffer. This must be a readable buffer
532  *                 of length \c ctx->len Bytes. For example, \c 256 Bytes
533  *                 for an 2048-bit RSA modulus.
534  * \param output   The output buffer. This must be a writable buffer
535  *                 of length \c ctx->len Bytes. For example, \c 256 Bytes
536  *                 for an 2048-bit RSA modulus.
537  *
538  * \note           This function does not handle message padding.
539  *
540  * \note           Make sure to set \p input[0] = 0 or ensure that
541  *                 input is smaller than \p N.
542  *
543  * \return         \c 0 on success.
544  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
545  */
546 int mbedtls_rsa_public( mbedtls_rsa_context *ctx,
547                 const unsigned char *input,
548                 unsigned char *output );
549 
550 /**
551  * \brief          This function performs an RSA private key operation.
552  *
553  * \note           Blinding is used if and only if a PRNG is provided.
554  *
555  * \note           If blinding is used, both the base of exponentiation
556  *                 and the exponent are blinded, providing protection
557  *                 against some side-channel attacks.
558  *
559  * \warning        It is deprecated and a security risk to not provide
560  *                 a PRNG here and thereby prevent the use of blinding.
561  *                 Future versions of the library may enforce the presence
562  *                 of a PRNG.
563  *
564  * \param ctx      The initialized RSA context to use.
565  * \param f_rng    The RNG function, used for blinding. It is discouraged
566  *                 and deprecated to pass \c NULL here, in which case
567  *                 blinding will be omitted.
568  * \param p_rng    The RNG context to pass to \p f_rng. This may be \c NULL
569  *                 if \p f_rng is \c NULL or if \p f_rng doesn't need a context.
570  * \param input    The input buffer. This must be a readable buffer
571  *                 of length \c ctx->len Bytes. For example, \c 256 Bytes
572  *                 for an 2048-bit RSA modulus.
573  * \param output   The output buffer. This must be a writable buffer
574  *                 of length \c ctx->len Bytes. For example, \c 256 Bytes
575  *                 for an 2048-bit RSA modulus.
576  *
577  * \return         \c 0 on success.
578  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
579  *
580  */
581 int mbedtls_rsa_private( mbedtls_rsa_context *ctx,
582                  int (*f_rng)(void *, unsigned char *, size_t),
583                  void *p_rng,
584                  const unsigned char *input,
585                  unsigned char *output );
586 
587 /**
588  * \brief          This function adds the message padding, then performs an RSA
589  *                 operation.
590  *
591  *                 It is the generic wrapper for performing a PKCS#1 encryption
592  *                 operation using the \p mode from the context.
593  *
594  * \deprecated     It is deprecated and discouraged to call this function
595  *                 in #MBEDTLS_RSA_PRIVATE mode. Future versions of the library
596  *                 are likely to remove the \p mode argument and have it
597  *                 implicitly set to #MBEDTLS_RSA_PUBLIC.
598  *
599  * \note           Alternative implementations of RSA need not support
600  *                 mode being set to #MBEDTLS_RSA_PRIVATE and might instead
601  *                 return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
602  *
603  * \param ctx      The initialized RSA context to use.
604  * \param f_rng    The RNG to use. It is mandatory for PKCS#1 v2.1 padding
605  *                 encoding, and for PKCS#1 v1.5 padding encoding when used
606  *                 with \p mode set to #MBEDTLS_RSA_PUBLIC. For PKCS#1 v1.5
607  *                 padding encoding and \p mode set to #MBEDTLS_RSA_PRIVATE,
608  *                 it is used for blinding and should be provided in this
609  *                 case; see mbedtls_rsa_private() for more.
610  * \param p_rng    The RNG context to be passed to \p f_rng. May be
611  *                 \c NULL if \p f_rng is \c NULL or if \p f_rng doesn't
612  *                 need a context argument.
613  * \param mode     The mode of operation. This must be either
614  *                 #MBEDTLS_RSA_PUBLIC or #MBEDTLS_RSA_PRIVATE (deprecated).
615  * \param ilen     The length of the plaintext in Bytes.
616  * \param input    The input data to encrypt. This must be a readable
617  *                 buffer of size \p ilen Bytes. It may be \c NULL if
618  *                 `ilen == 0`.
619  * \param output   The output buffer. This must be a writable buffer
620  *                 of length \c ctx->len Bytes. For example, \c 256 Bytes
621  *                 for an 2048-bit RSA modulus.
622  *
623  * \return         \c 0 on success.
624  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
625  */
626 int mbedtls_rsa_pkcs1_encrypt( mbedtls_rsa_context *ctx,
627                        int (*f_rng)(void *, unsigned char *, size_t),
628                        void *p_rng,
629                        int mode, size_t ilen,
630                        const unsigned char *input,
631                        unsigned char *output );
632 
633 /**
634  * \brief          This function performs a PKCS#1 v1.5 encryption operation
635  *                 (RSAES-PKCS1-v1_5-ENCRYPT).
636  *
637  * \deprecated     It is deprecated and discouraged to call this function
638  *                 in #MBEDTLS_RSA_PRIVATE mode. Future versions of the library
639  *                 are likely to remove the \p mode argument and have it
640  *                 implicitly set to #MBEDTLS_RSA_PUBLIC.
641  *
642  * \note           Alternative implementations of RSA need not support
643  *                 mode being set to #MBEDTLS_RSA_PRIVATE and might instead
644  *                 return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
645  *
646  * \param ctx      The initialized RSA context to use.
647  * \param f_rng    The RNG function to use. It is needed for padding generation
648  *                 if \p mode is #MBEDTLS_RSA_PUBLIC. If \p mode is
649  *                 #MBEDTLS_RSA_PRIVATE (discouraged), it is used for
650  *                 blinding and should be provided; see mbedtls_rsa_private().
651  * \param p_rng    The RNG context to be passed to \p f_rng. This may
652  *                 be \c NULL if \p f_rng is \c NULL or if \p f_rng
653  *                 doesn't need a context argument.
654  * \param mode     The mode of operation. This must be either
655  *                 #MBEDTLS_RSA_PUBLIC or #MBEDTLS_RSA_PRIVATE (deprecated).
656  * \param ilen     The length of the plaintext in Bytes.
657  * \param input    The input data to encrypt. This must be a readable
658  *                 buffer of size \p ilen Bytes. It may be \c NULL if
659  *                 `ilen == 0`.
660  * \param output   The output buffer. This must be a writable buffer
661  *                 of length \c ctx->len Bytes. For example, \c 256 Bytes
662  *                 for an 2048-bit RSA modulus.
663  *
664  * \return         \c 0 on success.
665  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
666  */
667 int mbedtls_rsa_rsaes_pkcs1_v15_encrypt( mbedtls_rsa_context *ctx,
668                                  int (*f_rng)(void *, unsigned char *, size_t),
669                                  void *p_rng,
670                                  int mode, size_t ilen,
671                                  const unsigned char *input,
672                                  unsigned char *output );
673 
674 /**
675  * \brief            This function performs a PKCS#1 v2.1 OAEP encryption
676  *                   operation (RSAES-OAEP-ENCRYPT).
677  *
678  * \note             The output buffer must be as large as the size
679  *                   of ctx->N. For example, 128 Bytes if RSA-1024 is used.
680  *
681  * \deprecated       It is deprecated and discouraged to call this function
682  *                   in #MBEDTLS_RSA_PRIVATE mode. Future versions of the library
683  *                   are likely to remove the \p mode argument and have it
684  *                   implicitly set to #MBEDTLS_RSA_PUBLIC.
685  *
686  * \note             Alternative implementations of RSA need not support
687  *                   mode being set to #MBEDTLS_RSA_PRIVATE and might instead
688  *                   return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
689  *
690  * \param ctx        The initialized RSA context to use.
691  * \param f_rng      The RNG function to use. This is needed for padding
692  *                   generation and must be provided.
693  * \param p_rng      The RNG context to be passed to \p f_rng. This may
694  *                   be \c NULL if \p f_rng doesn't need a context argument.
695  * \param mode       The mode of operation. This must be either
696  *                   #MBEDTLS_RSA_PUBLIC or #MBEDTLS_RSA_PRIVATE (deprecated).
697  * \param label      The buffer holding the custom label to use.
698  *                   This must be a readable buffer of length \p label_len
699  *                   Bytes. It may be \c NULL if \p label_len is \c 0.
700  * \param label_len  The length of the label in Bytes.
701  * \param ilen       The length of the plaintext buffer \p input in Bytes.
702  * \param input      The input data to encrypt. This must be a readable
703  *                   buffer of size \p ilen Bytes. It may be \c NULL if
704  *                   `ilen == 0`.
705  * \param output     The output buffer. This must be a writable buffer
706  *                   of length \c ctx->len Bytes. For example, \c 256 Bytes
707  *                   for an 2048-bit RSA modulus.
708  *
709  * \return           \c 0 on success.
710  * \return           An \c MBEDTLS_ERR_RSA_XXX error code on failure.
711  */
712 int mbedtls_rsa_rsaes_oaep_encrypt( mbedtls_rsa_context *ctx,
713                             int (*f_rng)(void *, unsigned char *, size_t),
714                             void *p_rng,
715                             int mode,
716                             const unsigned char *label, size_t label_len,
717                             size_t ilen,
718                             const unsigned char *input,
719                             unsigned char *output );
720 
721 /**
722  * \brief          This function performs an RSA operation, then removes the
723  *                 message padding.
724  *
725  *                 It is the generic wrapper for performing a PKCS#1 decryption
726  *                 operation using the \p mode from the context.
727  *
728  * \note           The output buffer length \c output_max_len should be
729  *                 as large as the size \p ctx->len of \p ctx->N (for example,
730  *                 128 Bytes if RSA-1024 is used) to be able to hold an
731  *                 arbitrary decrypted message. If it is not large enough to
732  *                 hold the decryption of the particular ciphertext provided,
733  *                 the function returns \c MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
734  *
735  * \deprecated     It is deprecated and discouraged to call this function
736  *                 in #MBEDTLS_RSA_PUBLIC mode. Future versions of the library
737  *                 are likely to remove the \p mode argument and have it
738  *                 implicitly set to #MBEDTLS_RSA_PRIVATE.
739  *
740  * \note           Alternative implementations of RSA need not support
741  *                 mode being set to #MBEDTLS_RSA_PUBLIC and might instead
742  *                 return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
743  *
744  * \param ctx      The initialized RSA context to use.
745  * \param f_rng    The RNG function. If \p mode is #MBEDTLS_RSA_PRIVATE,
746  *                 this is used for blinding and should be provided; see
747  *                 mbedtls_rsa_private() for more. If \p mode is
748  *                 #MBEDTLS_RSA_PUBLIC, it is ignored.
749  * \param p_rng    The RNG context to be passed to \p f_rng. This may be
750  *                 \c NULL if \p f_rng is \c NULL or doesn't need a context.
751  * \param mode     The mode of operation. This must be either
752  *                 #MBEDTLS_RSA_PRIVATE or #MBEDTLS_RSA_PUBLIC (deprecated).
753  * \param olen     The address at which to store the length of
754  *                 the plaintext. This must not be \c NULL.
755  * \param input    The ciphertext buffer. This must be a readable buffer
756  *                 of length \c ctx->len Bytes. For example, \c 256 Bytes
757  *                 for an 2048-bit RSA modulus.
758  * \param output   The buffer used to hold the plaintext. This must
759  *                 be a writable buffer of length \p output_max_len Bytes.
760  * \param output_max_len The length in Bytes of the output buffer \p output.
761  *
762  * \return         \c 0 on success.
763  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
764  */
765 int mbedtls_rsa_pkcs1_decrypt( mbedtls_rsa_context *ctx,
766                        int (*f_rng)(void *, unsigned char *, size_t),
767                        void *p_rng,
768                        int mode, size_t *olen,
769                        const unsigned char *input,
770                        unsigned char *output,
771                        size_t output_max_len );
772 
773 /**
774  * \brief          This function performs a PKCS#1 v1.5 decryption
775  *                 operation (RSAES-PKCS1-v1_5-DECRYPT).
776  *
777  * \note           The output buffer length \c output_max_len should be
778  *                 as large as the size \p ctx->len of \p ctx->N, for example,
779  *                 128 Bytes if RSA-1024 is used, to be able to hold an
780  *                 arbitrary decrypted message. If it is not large enough to
781  *                 hold the decryption of the particular ciphertext provided,
782  *                 the function returns #MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
783  *
784  * \deprecated     It is deprecated and discouraged to call this function
785  *                 in #MBEDTLS_RSA_PUBLIC mode. Future versions of the library
786  *                 are likely to remove the \p mode argument and have it
787  *                 implicitly set to #MBEDTLS_RSA_PRIVATE.
788  *
789  * \note           Alternative implementations of RSA need not support
790  *                 mode being set to #MBEDTLS_RSA_PUBLIC and might instead
791  *                 return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
792  *
793  * \param ctx      The initialized RSA context to use.
794  * \param f_rng    The RNG function. If \p mode is #MBEDTLS_RSA_PRIVATE,
795  *                 this is used for blinding and should be provided; see
796  *                 mbedtls_rsa_private() for more. If \p mode is
797  *                 #MBEDTLS_RSA_PUBLIC, it is ignored.
798  * \param p_rng    The RNG context to be passed to \p f_rng. This may be
799  *                 \c NULL if \p f_rng is \c NULL or doesn't need a context.
800  * \param mode     The mode of operation. This must be either
801  *                 #MBEDTLS_RSA_PRIVATE or #MBEDTLS_RSA_PUBLIC (deprecated).
802  * \param olen     The address at which to store the length of
803  *                 the plaintext. This must not be \c NULL.
804  * \param input    The ciphertext buffer. This must be a readable buffer
805  *                 of length \c ctx->len Bytes. For example, \c 256 Bytes
806  *                 for an 2048-bit RSA modulus.
807  * \param output   The buffer used to hold the plaintext. This must
808  *                 be a writable buffer of length \p output_max_len Bytes.
809  * \param output_max_len The length in Bytes of the output buffer \p output.
810  *
811  * \return         \c 0 on success.
812  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
813  *
814  */
815 int mbedtls_rsa_rsaes_pkcs1_v15_decrypt( mbedtls_rsa_context *ctx,
816                                  int (*f_rng)(void *, unsigned char *, size_t),
817                                  void *p_rng,
818                                  int mode, size_t *olen,
819                                  const unsigned char *input,
820                                  unsigned char *output,
821                                  size_t output_max_len );
822 
823 /**
824  * \brief            This function performs a PKCS#1 v2.1 OAEP decryption
825  *                   operation (RSAES-OAEP-DECRYPT).
826  *
827  * \note             The output buffer length \c output_max_len should be
828  *                   as large as the size \p ctx->len of \p ctx->N, for
829  *                   example, 128 Bytes if RSA-1024 is used, to be able to
830  *                   hold an arbitrary decrypted message. If it is not
831  *                   large enough to hold the decryption of the particular
832  *                   ciphertext provided, the function returns
833  *                   #MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
834  *
835  * \deprecated       It is deprecated and discouraged to call this function
836  *                   in #MBEDTLS_RSA_PUBLIC mode. Future versions of the library
837  *                   are likely to remove the \p mode argument and have it
838  *                   implicitly set to #MBEDTLS_RSA_PRIVATE.
839  *
840  * \note             Alternative implementations of RSA need not support
841  *                   mode being set to #MBEDTLS_RSA_PUBLIC and might instead
842  *                   return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
843  *
844  * \param ctx        The initialized RSA context to use.
845  * \param f_rng      The RNG function. If \p mode is #MBEDTLS_RSA_PRIVATE,
846  *                   this is used for blinding and should be provided; see
847  *                   mbedtls_rsa_private() for more. If \p mode is
848  *                   #MBEDTLS_RSA_PUBLIC, it is ignored.
849  * \param p_rng      The RNG context to be passed to \p f_rng. This may be
850  *                   \c NULL if \p f_rng is \c NULL or doesn't need a context.
851  * \param mode       The mode of operation. This must be either
852  *                   #MBEDTLS_RSA_PRIVATE or #MBEDTLS_RSA_PUBLIC (deprecated).
853  * \param label      The buffer holding the custom label to use.
854  *                   This must be a readable buffer of length \p label_len
855  *                   Bytes. It may be \c NULL if \p label_len is \c 0.
856  * \param label_len  The length of the label in Bytes.
857  * \param olen       The address at which to store the length of
858  *                   the plaintext. This must not be \c NULL.
859  * \param input      The ciphertext buffer. This must be a readable buffer
860  *                   of length \c ctx->len Bytes. For example, \c 256 Bytes
861  *                   for an 2048-bit RSA modulus.
862  * \param output     The buffer used to hold the plaintext. This must
863  *                   be a writable buffer of length \p output_max_len Bytes.
864  * \param output_max_len The length in Bytes of the output buffer \p output.
865  *
866  * \return         \c 0 on success.
867  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
868  */
869 int mbedtls_rsa_rsaes_oaep_decrypt( mbedtls_rsa_context *ctx,
870                             int (*f_rng)(void *, unsigned char *, size_t),
871                             void *p_rng,
872                             int mode,
873                             const unsigned char *label, size_t label_len,
874                             size_t *olen,
875                             const unsigned char *input,
876                             unsigned char *output,
877                             size_t output_max_len );
878 
879 /**
880  * \brief          This function performs a private RSA operation to sign
881  *                 a message digest using PKCS#1.
882  *
883  *                 It is the generic wrapper for performing a PKCS#1
884  *                 signature using the \p mode from the context.
885  *
886  * \note           The \p sig buffer must be as large as the size
887  *                 of \p ctx->N. For example, 128 Bytes if RSA-1024 is used.
888  *
889  * \note           For PKCS#1 v2.1 encoding, see comments on
890  *                 mbedtls_rsa_rsassa_pss_sign() for details on
891  *                 \p md_alg and \p hash_id.
892  *
893  * \deprecated     It is deprecated and discouraged to call this function
894  *                 in #MBEDTLS_RSA_PUBLIC mode. Future versions of the library
895  *                 are likely to remove the \p mode argument and have it
896  *                 implicitly set to #MBEDTLS_RSA_PRIVATE.
897  *
898  * \note           Alternative implementations of RSA need not support
899  *                 mode being set to #MBEDTLS_RSA_PUBLIC and might instead
900  *                 return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
901  *
902  * \param ctx      The initialized RSA context to use.
903  * \param f_rng    The RNG function to use. If the padding mode is PKCS#1 v2.1,
904  *                 this must be provided. If the padding mode is PKCS#1 v1.5 and
905  *                 \p mode is #MBEDTLS_RSA_PRIVATE, it is used for blinding
906  *                 and should be provided; see mbedtls_rsa_private() for more
907  *                 more. It is ignored otherwise.
908  * \param p_rng    The RNG context to be passed to \p f_rng. This may be \c NULL
909  *                 if \p f_rng is \c NULL or doesn't need a context argument.
910  * \param mode     The mode of operation. This must be either
911  *                 #MBEDTLS_RSA_PRIVATE or #MBEDTLS_RSA_PUBLIC (deprecated).
912  * \param md_alg   The message-digest algorithm used to hash the original data.
913  *                 Use #MBEDTLS_MD_NONE for signing raw data.
914  * \param hashlen  The length of the message digest.
915  *                 Ths is only used if \p md_alg is #MBEDTLS_MD_NONE.
916  * \param hash     The buffer holding the message digest or raw data.
917  *                 If \p md_alg is #MBEDTLS_MD_NONE, this must be a readable
918  *                 buffer of length \p hashlen Bytes. If \p md_alg is not
919  *                 #MBEDTLS_MD_NONE, it must be a readable buffer of length
920  *                 the size of the hash corresponding to \p md_alg.
921  * \param sig      The buffer to hold the signature. This must be a writable
922  *                 buffer of length \c ctx->len Bytes. For example, \c 256 Bytes
923  *                 for an 2048-bit RSA modulus. A buffer length of
924  *                 #MBEDTLS_MPI_MAX_SIZE is always safe.
925  *
926  * \return         \c 0 if the signing operation was successful.
927  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
928  */
929 int mbedtls_rsa_pkcs1_sign( mbedtls_rsa_context *ctx,
930                     int (*f_rng)(void *, unsigned char *, size_t),
931                     void *p_rng,
932                     int mode,
933                     mbedtls_md_type_t md_alg,
934                     unsigned int hashlen,
935                     const unsigned char *hash,
936                     unsigned char *sig );
937 
938 /**
939  * \brief          This function performs a PKCS#1 v1.5 signature
940  *                 operation (RSASSA-PKCS1-v1_5-SIGN).
941  *
942  * \deprecated     It is deprecated and discouraged to call this function
943  *                 in #MBEDTLS_RSA_PUBLIC mode. Future versions of the library
944  *                 are likely to remove the \p mode argument and have it
945  *                 implicitly set to #MBEDTLS_RSA_PRIVATE.
946  *
947  * \note           Alternative implementations of RSA need not support
948  *                 mode being set to #MBEDTLS_RSA_PUBLIC and might instead
949  *                 return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
950  *
951  * \param ctx      The initialized RSA context to use.
952  * \param f_rng    The RNG function. If \p mode is #MBEDTLS_RSA_PRIVATE,
953  *                 this is used for blinding and should be provided; see
954  *                 mbedtls_rsa_private() for more. If \p mode is
955  *                 #MBEDTLS_RSA_PUBLIC, it is ignored.
956  * \param p_rng    The RNG context to be passed to \p f_rng. This may be \c NULL
957  *                 if \p f_rng is \c NULL or doesn't need a context argument.
958  * \param mode     The mode of operation. This must be either
959  *                 #MBEDTLS_RSA_PRIVATE or #MBEDTLS_RSA_PUBLIC (deprecated).
960  * \param md_alg   The message-digest algorithm used to hash the original data.
961  *                 Use #MBEDTLS_MD_NONE for signing raw data.
962  * \param hashlen  The length of the message digest.
963  *                 Ths is only used if \p md_alg is #MBEDTLS_MD_NONE.
964  * \param hash     The buffer holding the message digest or raw data.
965  *                 If \p md_alg is #MBEDTLS_MD_NONE, this must be a readable
966  *                 buffer of length \p hashlen Bytes. If \p md_alg is not
967  *                 #MBEDTLS_MD_NONE, it must be a readable buffer of length
968  *                 the size of the hash corresponding to \p md_alg.
969  * \param sig      The buffer to hold the signature. This must be a writable
970  *                 buffer of length \c ctx->len Bytes. For example, \c 256 Bytes
971  *                 for an 2048-bit RSA modulus. A buffer length of
972  *                 #MBEDTLS_MPI_MAX_SIZE is always safe.
973  *
974  * \return         \c 0 if the signing operation was successful.
975  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
976  */
977 int mbedtls_rsa_rsassa_pkcs1_v15_sign( mbedtls_rsa_context *ctx,
978                                int (*f_rng)(void *, unsigned char *, size_t),
979                                void *p_rng,
980                                int mode,
981                                mbedtls_md_type_t md_alg,
982                                unsigned int hashlen,
983                                const unsigned char *hash,
984                                unsigned char *sig );
985 
986 /**
987  * \brief          This function performs a PKCS#1 v2.1 PSS signature
988  *                 operation (RSASSA-PSS-SIGN).
989  *
990  * \note           The \c hash_id set in \p ctx (when calling
991  *                 mbedtls_rsa_init() or by calling mbedtls_rsa_set_padding()
992  *                 afterwards) selects the hash used for the
993  *                 encoding operation and for the mask generation function
994  *                 (MGF1). For more details on the encoding operation and the
995  *                 mask generation function, consult <em>RFC-3447: Public-Key
996  *                 Cryptography Standards (PKCS) #1 v2.1: RSA Cryptography
997  *                 Specifications</em>.
998  *
999  * \note           This function enforces that the provided salt length complies
1000  *                 with FIPS 186-4 §5.5 (e) and RFC 8017 (PKCS#1 v2.2) §9.1.1
1001  *                 step 3. The constraint is that the hash length plus the salt
1002  *                 length plus 2 bytes must be at most the key length. If this
1003  *                 constraint is not met, this function returns
1004  *                 #MBEDTLS_ERR_RSA_BAD_INPUT_DATA.
1005  *
1006  * \param ctx      The initialized RSA context to use.
1007  * \param f_rng    The RNG function. It must not be \c NULL.
1008  * \param p_rng    The RNG context to be passed to \p f_rng. This may be \c NULL
1009  *                 if \p f_rng doesn't need a context argument.
1010  * \param md_alg   The message-digest algorithm used to hash the original data.
1011  *                 Use #MBEDTLS_MD_NONE for signing raw data.
1012  * \param hashlen  The length of the message digest.
1013  *                 Ths is only used if \p md_alg is #MBEDTLS_MD_NONE.
1014  * \param hash     The buffer holding the message digest or raw data.
1015  *                 If \p md_alg is #MBEDTLS_MD_NONE, this must be a readable
1016  *                 buffer of length \p hashlen Bytes. If \p md_alg is not
1017  *                 #MBEDTLS_MD_NONE, it must be a readable buffer of length
1018  *                 the size of the hash corresponding to \p md_alg.
1019  * \param saltlen  The length of the salt that should be used.
1020  *                 If passed #MBEDTLS_RSA_SALT_LEN_ANY, the function will use
1021  *                 the largest possible salt length up to the hash length,
1022  *                 which is the largest permitted by some standards including
1023  *                 FIPS 186-4 §5.5.
1024  * \param sig      The buffer to hold the signature. This must be a writable
1025  *                 buffer of length \c ctx->len Bytes. For example, \c 256 Bytes
1026  *                 for an 2048-bit RSA modulus. A buffer length of
1027  *                 #MBEDTLS_MPI_MAX_SIZE is always safe.
1028  *
1029  * \return         \c 0 if the signing operation was successful.
1030  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
1031  */
1032 int mbedtls_rsa_rsassa_pss_sign_ext( mbedtls_rsa_context *ctx,
1033                          int (*f_rng)(void *, unsigned char *, size_t),
1034                          void *p_rng,
1035                          mbedtls_md_type_t md_alg,
1036                          unsigned int hashlen,
1037                          const unsigned char *hash,
1038                          int saltlen,
1039                          unsigned char *sig );
1040 
1041 /**
1042  * \brief          This function performs a PKCS#1 v2.1 PSS signature
1043  *                 operation (RSASSA-PSS-SIGN).
1044  *
1045  * \note           The \c hash_id set in \p ctx (when calling
1046  *                 mbedtls_rsa_init() or by calling mbedtls_rsa_set_padding()
1047  *                 afterwards) selects the hash used for the
1048  *                 encoding operation and for the mask generation function
1049  *                 (MGF1). For more details on the encoding operation and the
1050  *                 mask generation function, consult <em>RFC-3447: Public-Key
1051  *                 Cryptography Standards (PKCS) #1 v2.1: RSA Cryptography
1052  *                 Specifications</em>.
1053  *
1054  * \note           This function always uses the maximum possible salt size,
1055  *                 up to the length of the payload hash. This choice of salt
1056  *                 size complies with FIPS 186-4 §5.5 (e) and RFC 8017 (PKCS#1
1057  *                 v2.2) §9.1.1 step 3. Furthermore this function enforces a
1058  *                 minimum salt size which is the hash size minus 2 bytes. If
1059  *                 this minimum size is too large given the key size (the salt
1060  *                 size, plus the hash size, plus 2 bytes must be no more than
1061  *                 the key size in bytes), this function returns
1062  *                 #MBEDTLS_ERR_RSA_BAD_INPUT_DATA.
1063  *
1064  * \deprecated     It is deprecated and discouraged to call this function
1065  *                 in #MBEDTLS_RSA_PUBLIC mode. Future versions of the library
1066  *                 are likely to remove the \p mode argument and have it
1067  *                 implicitly set to #MBEDTLS_RSA_PRIVATE.
1068  *
1069  * \note           Alternative implementations of RSA need not support
1070  *                 mode being set to #MBEDTLS_RSA_PUBLIC and might instead
1071  *                 return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
1072  *
1073  * \param ctx      The initialized RSA context to use.
1074  * \param f_rng    The RNG function. It must not be \c NULL.
1075  * \param p_rng    The RNG context to be passed to \p f_rng. This may be \c NULL
1076  *                 if \p f_rng doesn't need a context argument.
1077  * \param mode     The mode of operation. This must be either
1078  *                 #MBEDTLS_RSA_PRIVATE or #MBEDTLS_RSA_PUBLIC (deprecated).
1079  * \param md_alg   The message-digest algorithm used to hash the original data.
1080  *                 Use #MBEDTLS_MD_NONE for signing raw data.
1081  * \param hashlen  The length of the message digest.
1082  *                 This is only used if \p md_alg is #MBEDTLS_MD_NONE.
1083  * \param hash     The buffer holding the message digest or raw data.
1084  *                 If \p md_alg is #MBEDTLS_MD_NONE, this must be a readable
1085  *                 buffer of length \p hashlen Bytes. If \p md_alg is not
1086  *                 #MBEDTLS_MD_NONE, it must be a readable buffer of length
1087  *                 the size of the hash corresponding to \p md_alg.
1088  * \param sig      The buffer to hold the signature. This must be a writable
1089  *                 buffer of length \c ctx->len Bytes. For example, \c 256 Bytes
1090  *                 for an 2048-bit RSA modulus. A buffer length of
1091  *                 #MBEDTLS_MPI_MAX_SIZE is always safe.
1092  *
1093  * \return         \c 0 if the signing operation was successful.
1094  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
1095  */
1096 int mbedtls_rsa_rsassa_pss_sign( mbedtls_rsa_context *ctx,
1097                          int (*f_rng)(void *, unsigned char *, size_t),
1098                          void *p_rng,
1099                          int mode,
1100                          mbedtls_md_type_t md_alg,
1101                          unsigned int hashlen,
1102                          const unsigned char *hash,
1103                          unsigned char *sig );
1104 
1105 /**
1106  * \brief          This function performs a public RSA operation and checks
1107  *                 the message digest.
1108  *
1109  *                 This is the generic wrapper for performing a PKCS#1
1110  *                 verification using the mode from the context.
1111  *
1112  * \note           For PKCS#1 v2.1 encoding, see comments on
1113  *                 mbedtls_rsa_rsassa_pss_verify() about \p md_alg and
1114  *                 \p hash_id.
1115  *
1116  * \deprecated     It is deprecated and discouraged to call this function
1117  *                 in #MBEDTLS_RSA_PRIVATE mode. Future versions of the library
1118  *                 are likely to remove the \p mode argument and have it
1119  *                 set to #MBEDTLS_RSA_PUBLIC.
1120  *
1121  * \note           Alternative implementations of RSA need not support
1122  *                 mode being set to #MBEDTLS_RSA_PRIVATE and might instead
1123  *                 return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
1124  *
1125  * \param ctx      The initialized RSA public key context to use.
1126  * \param f_rng    The RNG function to use. If \p mode is #MBEDTLS_RSA_PRIVATE,
1127  *                 this is used for blinding and should be provided; see
1128  *                 mbedtls_rsa_private() for more. Otherwise, it is ignored.
1129  * \param p_rng    The RNG context to be passed to \p f_rng. This may be
1130  *                 \c NULL if \p f_rng is \c NULL or doesn't need a context.
1131  * \param mode     The mode of operation. This must be either
1132  *                 #MBEDTLS_RSA_PUBLIC or #MBEDTLS_RSA_PRIVATE (deprecated).
1133  * \param md_alg   The message-digest algorithm used to hash the original data.
1134  *                 Use #MBEDTLS_MD_NONE for signing raw data.
1135  * \param hashlen  The length of the message digest.
1136  *                 This is only used if \p md_alg is #MBEDTLS_MD_NONE.
1137  * \param hash     The buffer holding the message digest or raw data.
1138  *                 If \p md_alg is #MBEDTLS_MD_NONE, this must be a readable
1139  *                 buffer of length \p hashlen Bytes. If \p md_alg is not
1140  *                 #MBEDTLS_MD_NONE, it must be a readable buffer of length
1141  *                 the size of the hash corresponding to \p md_alg.
1142  * \param sig      The buffer holding the signature. This must be a readable
1143  *                 buffer of length \c ctx->len Bytes. For example, \c 256 Bytes
1144  *                 for an 2048-bit RSA modulus.
1145  *
1146  * \return         \c 0 if the verify operation was successful.
1147  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
1148  */
1149 int mbedtls_rsa_pkcs1_verify( mbedtls_rsa_context *ctx,
1150                       int (*f_rng)(void *, unsigned char *, size_t),
1151                       void *p_rng,
1152                       int mode,
1153                       mbedtls_md_type_t md_alg,
1154                       unsigned int hashlen,
1155                       const unsigned char *hash,
1156                       const unsigned char *sig );
1157 
1158 /**
1159  * \brief          This function performs a PKCS#1 v1.5 verification
1160  *                 operation (RSASSA-PKCS1-v1_5-VERIFY).
1161  *
1162  * \deprecated     It is deprecated and discouraged to call this function
1163  *                 in #MBEDTLS_RSA_PRIVATE mode. Future versions of the library
1164  *                 are likely to remove the \p mode argument and have it
1165  *                 set to #MBEDTLS_RSA_PUBLIC.
1166  *
1167  * \note           Alternative implementations of RSA need not support
1168  *                 mode being set to #MBEDTLS_RSA_PRIVATE and might instead
1169  *                 return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
1170  *
1171  * \param ctx      The initialized RSA public key context to use.
1172  * \param f_rng    The RNG function to use. If \p mode is #MBEDTLS_RSA_PRIVATE,
1173  *                 this is used for blinding and should be provided; see
1174  *                 mbedtls_rsa_private() for more. Otherwise, it is ignored.
1175  * \param p_rng    The RNG context to be passed to \p f_rng. This may be
1176  *                 \c NULL if \p f_rng is \c NULL or doesn't need a context.
1177  * \param mode     The mode of operation. This must be either
1178  *                 #MBEDTLS_RSA_PUBLIC or #MBEDTLS_RSA_PRIVATE (deprecated).
1179  * \param md_alg   The message-digest algorithm used to hash the original data.
1180  *                 Use #MBEDTLS_MD_NONE for signing raw data.
1181  * \param hashlen  The length of the message digest.
1182  *                 This is only used if \p md_alg is #MBEDTLS_MD_NONE.
1183  * \param hash     The buffer holding the message digest or raw data.
1184  *                 If \p md_alg is #MBEDTLS_MD_NONE, this must be a readable
1185  *                 buffer of length \p hashlen Bytes. If \p md_alg is not
1186  *                 #MBEDTLS_MD_NONE, it must be a readable buffer of length
1187  *                 the size of the hash corresponding to \p md_alg.
1188  * \param sig      The buffer holding the signature. This must be a readable
1189  *                 buffer of length \c ctx->len Bytes. For example, \c 256 Bytes
1190  *                 for an 2048-bit RSA modulus.
1191  *
1192  * \return         \c 0 if the verify operation was successful.
1193  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
1194  */
1195 int mbedtls_rsa_rsassa_pkcs1_v15_verify( mbedtls_rsa_context *ctx,
1196                                  int (*f_rng)(void *, unsigned char *, size_t),
1197                                  void *p_rng,
1198                                  int mode,
1199                                  mbedtls_md_type_t md_alg,
1200                                  unsigned int hashlen,
1201                                  const unsigned char *hash,
1202                                  const unsigned char *sig );
1203 
1204 /**
1205  * \brief          This function performs a PKCS#1 v2.1 PSS verification
1206  *                 operation (RSASSA-PSS-VERIFY).
1207  *
1208  * \note           The \c hash_id set in \p ctx (when calling
1209  *                 mbedtls_rsa_init() or by calling mbedtls_rsa_set_padding()
1210  *                 afterwards) selects the hash used for the
1211  *                 encoding operation and for the mask generation function
1212  *                 (MGF1). For more details on the encoding operation and the
1213  *                 mask generation function, consult <em>RFC-3447: Public-Key
1214  *                 Cryptography Standards (PKCS) #1 v2.1: RSA Cryptography
1215  *                 Specifications</em>. If the \c hash_id set in \p ctx is
1216  *                 #MBEDTLS_MD_NONE, the \p md_alg parameter is used.
1217  *
1218  * \deprecated     It is deprecated and discouraged to call this function
1219  *                 in #MBEDTLS_RSA_PRIVATE mode. Future versions of the library
1220  *                 are likely to remove the \p mode argument and have it
1221  *                 implicitly set to #MBEDTLS_RSA_PUBLIC.
1222  *
1223  * \note           Alternative implementations of RSA need not support
1224  *                 mode being set to #MBEDTLS_RSA_PRIVATE and might instead
1225  *                 return #MBEDTLS_ERR_PLATFORM_FEATURE_UNSUPPORTED.
1226  *
1227  * \param ctx      The initialized RSA public key context to use.
1228  * \param f_rng    The RNG function to use. If \p mode is #MBEDTLS_RSA_PRIVATE,
1229  *                 this is used for blinding and should be provided; see
1230  *                 mbedtls_rsa_private() for more. Otherwise, it is ignored.
1231  * \param p_rng    The RNG context to be passed to \p f_rng. This may be
1232  *                 \c NULL if \p f_rng is \c NULL or doesn't need a context.
1233  * \param mode     The mode of operation. This must be either
1234  *                 #MBEDTLS_RSA_PUBLIC or #MBEDTLS_RSA_PRIVATE (deprecated).
1235  * \param md_alg   The message-digest algorithm used to hash the original data.
1236  *                 Use #MBEDTLS_MD_NONE for signing raw data.
1237  * \param hashlen  The length of the message digest.
1238  *                 This is only used if \p md_alg is #MBEDTLS_MD_NONE.
1239  * \param hash     The buffer holding the message digest or raw data.
1240  *                 If \p md_alg is #MBEDTLS_MD_NONE, this must be a readable
1241  *                 buffer of length \p hashlen Bytes. If \p md_alg is not
1242  *                 #MBEDTLS_MD_NONE, it must be a readable buffer of length
1243  *                 the size of the hash corresponding to \p md_alg.
1244  * \param sig      The buffer holding the signature. This must be a readable
1245  *                 buffer of length \c ctx->len Bytes. For example, \c 256 Bytes
1246  *                 for an 2048-bit RSA modulus.
1247  *
1248  * \return         \c 0 if the verify operation was successful.
1249  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
1250  */
1251 int mbedtls_rsa_rsassa_pss_verify( mbedtls_rsa_context *ctx,
1252                            int (*f_rng)(void *, unsigned char *, size_t),
1253                            void *p_rng,
1254                            int mode,
1255                            mbedtls_md_type_t md_alg,
1256                            unsigned int hashlen,
1257                            const unsigned char *hash,
1258                            const unsigned char *sig );
1259 
1260 /**
1261  * \brief          This function performs a PKCS#1 v2.1 PSS verification
1262  *                 operation (RSASSA-PSS-VERIFY).
1263  *
1264  * \note           The \p sig buffer must be as large as the size
1265  *                 of \p ctx->N. For example, 128 Bytes if RSA-1024 is used.
1266  *
1267  * \note           The \c hash_id set in \p ctx (when calling
1268  *                 mbedtls_rsa_init() or by calling mbedtls_rsa_set_padding()
1269  *                 afterwards) is ignored.
1270  *
1271  * \param ctx      The initialized RSA public key context to use.
1272  * \param f_rng    The RNG function to use. If \p mode is #MBEDTLS_RSA_PRIVATE,
1273  *                 this is used for blinding and should be provided; see
1274  *                 mbedtls_rsa_private() for more. Otherwise, it is ignored.
1275  * \param p_rng    The RNG context to be passed to \p f_rng. This may be
1276  *                 \c NULL if \p f_rng is \c NULL or doesn't need a context.
1277  * \param mode     The mode of operation. This must be either
1278  *                 #MBEDTLS_RSA_PUBLIC or #MBEDTLS_RSA_PRIVATE.
1279  * \param md_alg   The message-digest algorithm used to hash the original data.
1280  *                 Use #MBEDTLS_MD_NONE for signing raw data.
1281  * \param hashlen  The length of the message digest.
1282  *                 This is only used if \p md_alg is #MBEDTLS_MD_NONE.
1283  * \param hash     The buffer holding the message digest or raw data.
1284  *                 If \p md_alg is #MBEDTLS_MD_NONE, this must be a readable
1285  *                 buffer of length \p hashlen Bytes. If \p md_alg is not
1286  *                 #MBEDTLS_MD_NONE, it must be a readable buffer of length
1287  *                 the size of the hash corresponding to \p md_alg.
1288  * \param mgf1_hash_id      The message digest algorithm used for the
1289  *                          verification operation and the mask generation
1290  *                          function (MGF1). For more details on the encoding
1291  *                          operation and the mask generation function, consult
1292  *                          <em>RFC-3447: Public-Key Cryptography Standards
1293  *                          (PKCS) #1 v2.1: RSA Cryptography
1294  *                          Specifications</em>.
1295  * \param expected_salt_len The length of the salt used in padding. Use
1296  *                          #MBEDTLS_RSA_SALT_LEN_ANY to accept any salt length.
1297  * \param sig      The buffer holding the signature. This must be a readable
1298  *                 buffer of length \c ctx->len Bytes. For example, \c 256 Bytes
1299  *                 for an 2048-bit RSA modulus.
1300  *
1301  * \return         \c 0 if the verify operation was successful.
1302  * \return         An \c MBEDTLS_ERR_RSA_XXX error code on failure.
1303  */
1304 int mbedtls_rsa_rsassa_pss_verify_ext( mbedtls_rsa_context *ctx,
1305                                int (*f_rng)(void *, unsigned char *, size_t),
1306                                void *p_rng,
1307                                int mode,
1308                                mbedtls_md_type_t md_alg,
1309                                unsigned int hashlen,
1310                                const unsigned char *hash,
1311                                mbedtls_md_type_t mgf1_hash_id,
1312                                int expected_salt_len,
1313                                const unsigned char *sig );
1314 
1315 /**
1316  * \brief          This function copies the components of an RSA context.
1317  *
1318  * \param dst      The destination context. This must be initialized.
1319  * \param src      The source context. This must be initialized.
1320  *
1321  * \return         \c 0 on success.
1322  * \return         #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory allocation failure.
1323  */
1324 int mbedtls_rsa_copy( mbedtls_rsa_context *dst, const mbedtls_rsa_context *src );
1325 
1326 /**
1327  * \brief          This function frees the components of an RSA key.
1328  *
1329  * \param ctx      The RSA context to free. May be \c NULL, in which case
1330  *                 this function is a no-op. If it is not \c NULL, it must
1331  *                 point to an initialized RSA context.
1332  */
1333 void mbedtls_rsa_free( mbedtls_rsa_context *ctx );
1334 
1335 #if defined(MBEDTLS_SELF_TEST)
1336 
1337 /**
1338  * \brief          The RSA checkup routine.
1339  *
1340  * \return         \c 0 on success.
1341  * \return         \c 1 on failure.
1342  */
1343 int mbedtls_rsa_self_test( int verbose );
1344 
1345 #endif /* MBEDTLS_SELF_TEST */
1346 
1347 #ifdef __cplusplus
1348 }
1349 #endif
1350 
1351 #endif /* rsa.h */
1352