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