blob: 527146e300701f2b539d19cb4ef31637831f10da [file] [log] [blame]
Werner Lewis0c6ea122022-09-30 13:02:16 +01001/* BEGIN_HEADER */
2#include "mbedtls/bignum.h"
3#include "mbedtls/entropy.h"
4#include "bignum_mod.h"
Gabor Mezeieca74662022-12-13 10:53:50 +01005#include "bignum_mod_raw.h"
Werner Lewis0c6ea122022-09-30 13:02:16 +01006#include "constant_time_internal.h"
7#include "test/constant_flow.h"
Tom Cosgrove62b20482022-12-01 14:27:37 +00008
9#define TEST_COMPARE_MPI_RESIDUES( a, b ) \
10 ASSERT_COMPARE( (a).p, (a).limbs * sizeof(mbedtls_mpi_uint), \
11 (b).p, (b).limbs * sizeof(mbedtls_mpi_uint) )
12
Tom Cosgrovef51f9722022-12-05 15:47:40 +000013static int test_read_modulus( mbedtls_mpi_mod_modulus *m,
14 mbedtls_mpi_mod_rep_selector int_rep,
15 char *input )
Tom Cosgrove62b20482022-12-01 14:27:37 +000016{
17 mbedtls_mpi_uint *p = NULL;
18 size_t limbs;
19
20 int ret = mbedtls_test_read_mpi_core( &p, &limbs, input );
21 if( ret != 0 )
22 return( ret );
23
24 return( mbedtls_mpi_mod_modulus_setup( m, p, limbs, int_rep ) );
25}
26
Tom Cosgrovef51f9722022-12-05 15:47:40 +000027static int test_read_residue( mbedtls_mpi_mod_residue *r,
28 const mbedtls_mpi_mod_modulus *m,
29 char *input,
30 int skip_limbs_and_value_checks )
Tom Cosgrove62b20482022-12-01 14:27:37 +000031{
32 mbedtls_mpi_uint *p = NULL;
33 size_t limbs;
34
35 int ret = mbedtls_test_read_mpi_core( &p, &limbs, input );
36 if( ret != 0 )
37 return( ret );
38
39 if( skip_limbs_and_value_checks )
40 {
41 r->p = p;
42 r->limbs = limbs;
43 return( 0 );
44 }
45
46 /* mbedtls_mpi_mod_residue_setup() checks limbs, and that value < m */
47 return( mbedtls_mpi_mod_residue_setup( r, m, p, limbs ) );
48}
Werner Lewis0c6ea122022-09-30 13:02:16 +010049/* END_HEADER */
50
51/* BEGIN_DEPENDENCIES
52 * depends_on:MBEDTLS_BIGNUM_C
53 * END_DEPENDENCIES
54 */
55
56/* BEGIN_CASE */
Janos Follath91295d22022-11-24 18:20:26 +000057void mpi_mod_setup( int int_rep, int iret )
Werner Lewis0c6ea122022-09-30 13:02:16 +010058{
59 #define MLIMBS 8
60 mbedtls_mpi_uint mp[MLIMBS];
61 mbedtls_mpi_mod_modulus m;
62 int ret;
63
Minos Galanakis4d4c98b2022-10-27 15:58:02 +010064 memset( mp, 0xFF, sizeof(mp) );
Werner Lewis0c6ea122022-09-30 13:02:16 +010065
66 mbedtls_mpi_mod_modulus_init( &m );
Janos Follath91295d22022-11-24 18:20:26 +000067 ret = mbedtls_mpi_mod_modulus_setup( &m, mp, MLIMBS, int_rep );
Werner Lewis0c6ea122022-09-30 13:02:16 +010068 TEST_EQUAL( ret, iret );
69
Minos Galanakisdd365a52022-10-19 01:48:32 +010070 /* Only test if the constants have been set-up */
71 if ( ret == 0 && int_rep == MBEDTLS_MPI_MOD_REP_MONTGOMERY )
72 {
73 /* Test that the consts have been calculated */
74 TEST_ASSERT( m.rep.mont.rr != NULL );
75 TEST_ASSERT( m.rep.mont.mm != 0 );
76
Minos Galanakisdd365a52022-10-19 01:48:32 +010077 }
78
Werner Lewis0c6ea122022-09-30 13:02:16 +010079 /* Address sanitiser should catch if we try to free mp */
80 mbedtls_mpi_mod_modulus_free( &m );
81
82 /* Make sure that the modulus doesn't have reference to mp anymore */
83 TEST_ASSERT( m.p != mp );
84
Minos Galanakisdd365a52022-10-19 01:48:32 +010085 /* Only test if the constants have been set-up */
86 if ( ret == 0 && int_rep == MBEDTLS_MPI_MOD_REP_MONTGOMERY )
87 {
Minos Galanakisdd365a52022-10-19 01:48:32 +010088 /* Verify the data and pointers allocated have been properly wiped */
89 TEST_ASSERT( m.rep.mont.rr == NULL );
90 TEST_ASSERT( m.rep.mont.mm == 0 );
Minos Galanakisdd365a52022-10-19 01:48:32 +010091 }
Werner Lewis0c6ea122022-09-30 13:02:16 +010092exit:
93 /* It should be safe to call an mbedtls free several times */
94 mbedtls_mpi_mod_modulus_free( &m );
95
96 #undef MLIMBS
97}
98/* END_CASE */
Janos Follath5933f692022-11-02 14:35:17 +000099
100/* BEGIN MERGE SLOT 1 */
101
102/* END MERGE SLOT 1 */
103
104/* BEGIN MERGE SLOT 2 */
105
Gabor Mezeieca74662022-12-13 10:53:50 +0100106/* BEGIN_CASE */
107void mpi_mod_mul( char * input_A,
108 char * input_B,
109 char * input_N,
110 char * result )
111{
Gabor Mezeieca74662022-12-13 10:53:50 +0100112 mbedtls_mpi_uint *X = NULL;
Gabor Mezeieca74662022-12-13 10:53:50 +0100113
Gabor Mezei78c4fb42022-12-20 18:09:49 +0100114 mbedtls_mpi_mod_residue rA = { NULL, 0 };
115 mbedtls_mpi_mod_residue rB = { NULL, 0 };
116 mbedtls_mpi_mod_residue rR = { NULL, 0 };
117 mbedtls_mpi_mod_residue rX = { NULL, 0 };
118
Gabor Mezeieca74662022-12-13 10:53:50 +0100119 mbedtls_mpi_mod_modulus m;
120 mbedtls_mpi_mod_modulus_init( &m );
121
Gabor Mezei809baef2022-12-16 16:31:59 +0100122 TEST_EQUAL( test_read_modulus( &m, MBEDTLS_MPI_MOD_REP_MONTGOMERY, input_N ),
123 0 );
Gabor Mezeieca74662022-12-13 10:53:50 +0100124
Gabor Mezei809baef2022-12-16 16:31:59 +0100125 TEST_EQUAL( test_read_residue( &rA, &m, input_A, 0 ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100126 TEST_EQUAL( test_read_residue( &rB, &m, input_B, 0 ), 0 );
Gabor Mezei78c4fb42022-12-20 18:09:49 +0100127 TEST_EQUAL( test_read_residue( &rR, &m, result, 0 ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100128
129 const size_t limbs = m.limbs;
130 const size_t bytes = limbs * sizeof( mbedtls_mpi_uint );
131
132 TEST_EQUAL( rA.limbs, limbs );
133 TEST_EQUAL( rB.limbs, limbs );
134 TEST_EQUAL( rR.limbs, limbs );
135
136 ASSERT_ALLOC( X, limbs );
Gabor Mezeieca74662022-12-13 10:53:50 +0100137
Gabor Mezeieca74662022-12-13 10:53:50 +0100138 TEST_EQUAL( mbedtls_mpi_mod_residue_setup( &rX, &m, X, limbs ), 0 );
139
Gabor Mezeieca74662022-12-13 10:53:50 +0100140 TEST_EQUAL( mbedtls_mpi_mod_mul( &rX, &rA, &rB, &m ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100141 ASSERT_COMPARE( rX.p, bytes, rR.p, bytes );
Gabor Mezeieca74662022-12-13 10:53:50 +0100142
143 /* alias X to A */
144 memcpy( rX.p, rA.p, bytes );
145 TEST_EQUAL( mbedtls_mpi_mod_mul( &rX, &rX, &rB, &m ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100146 ASSERT_COMPARE( rX.p, bytes, rR.p, bytes );
Gabor Mezeieca74662022-12-13 10:53:50 +0100147
148 /* alias X to B */
149 memcpy( rX.p, rB.p, bytes );
150 TEST_EQUAL( mbedtls_mpi_mod_mul( &rX, &rA, &rX, &m ), 0);
Gabor Mezei809baef2022-12-16 16:31:59 +0100151 ASSERT_COMPARE( rX.p, bytes, rR.p, bytes );
Gabor Mezeieca74662022-12-13 10:53:50 +0100152
153 /* A == B: alias A and B */
154 if( memcmp( rA.p, rB.p, bytes ) == 0 )
155 {
156 TEST_EQUAL( mbedtls_mpi_mod_mul( &rX, &rA, &rA, &m ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100157 ASSERT_COMPARE( rX.p, bytes, rR.p, bytes );
Gabor Mezeieca74662022-12-13 10:53:50 +0100158
159 /* X, A, B all aliased together */
160 memcpy( rX.p, rA.p, bytes );
161 TEST_EQUAL( mbedtls_mpi_mod_mul( &rX, &rX, &rX, &m ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100162 ASSERT_COMPARE( rX.p, bytes, rR.p, bytes );
Gabor Mezeieca74662022-12-13 10:53:50 +0100163 }
164
165 /* A != B: test B * A */
166 else
167 {
168 TEST_EQUAL( mbedtls_mpi_mod_mul( &rX, &rB, &rA, &m ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100169 ASSERT_COMPARE( rX.p, bytes, rR.p, bytes );
Gabor Mezeieca74662022-12-13 10:53:50 +0100170
171 /* B * A: alias X to A */
172 memcpy( rX.p, rA.p, bytes );
173 TEST_EQUAL( mbedtls_mpi_mod_mul( &rX, &rB, &rX, &m ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100174 ASSERT_COMPARE( rX.p, bytes, rR.p, bytes );
Gabor Mezeieca74662022-12-13 10:53:50 +0100175
176 /* B + A: alias X to B */
177 memcpy( rX.p, rB.p, bytes );
178 TEST_EQUAL( mbedtls_mpi_mod_mul( &rX, &rX, &rA, &m ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100179 ASSERT_COMPARE( rX.p, bytes, rR.p, bytes );
Gabor Mezeieca74662022-12-13 10:53:50 +0100180 }
181
182exit:
Gabor Mezei809baef2022-12-16 16:31:59 +0100183 mbedtls_free( rA.p );
184 mbedtls_free( rB.p );
185 mbedtls_free( rR.p );
Gabor Mezeieca74662022-12-13 10:53:50 +0100186 mbedtls_free( X );
Gabor Mezei809baef2022-12-16 16:31:59 +0100187 mbedtls_free( (mbedtls_mpi_uint *) m.p );
Gabor Mezeif9728132022-12-20 13:55:37 +0100188
189 mbedtls_mpi_mod_modulus_free( &m );
Gabor Mezeieca74662022-12-13 10:53:50 +0100190}
191/* END_CASE */
192
193/* BEGIN_CASE */
194void mpi_mod_mul_neg( char * input_A,
195 char * input_B,
196 char * input_N,
197 char * result,
198 int exp_ret )
199{
Gabor Mezeieca74662022-12-13 10:53:50 +0100200 mbedtls_mpi_uint *X = NULL;
Gabor Mezeieca74662022-12-13 10:53:50 +0100201
Gabor Mezei78c4fb42022-12-20 18:09:49 +0100202 mbedtls_mpi_mod_residue rA = { NULL, 0 };
203 mbedtls_mpi_mod_residue rB = { NULL, 0 };
204 mbedtls_mpi_mod_residue rR = { NULL, 0 };
205 mbedtls_mpi_mod_residue rX = { NULL, 0 };
206
Gabor Mezeieca74662022-12-13 10:53:50 +0100207 mbedtls_mpi_mod_modulus m;
208 mbedtls_mpi_mod_modulus_init( &m );
209
Gabor Mezei809baef2022-12-16 16:31:59 +0100210 TEST_EQUAL( test_read_modulus( &m, MBEDTLS_MPI_MOD_REP_MONTGOMERY, input_N ),
211 0 );
Gabor Mezeieca74662022-12-13 10:53:50 +0100212
Gabor Mezei809baef2022-12-16 16:31:59 +0100213 TEST_EQUAL( test_read_residue( &rA, &m, input_A, 1 ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100214 TEST_EQUAL( test_read_residue( &rB, &m, input_B, 1 ), 0 );
Gabor Mezei78c4fb42022-12-20 18:09:49 +0100215 TEST_EQUAL( test_read_residue( &rR, &m, result, 1 ), 0 );
Gabor Mezei809baef2022-12-16 16:31:59 +0100216
217 const size_t limbs = m.limbs;
218
219 ASSERT_ALLOC( X, limbs );
Gabor Mezeieca74662022-12-13 10:53:50 +0100220
Gabor Mezei809baef2022-12-16 16:31:59 +0100221 TEST_EQUAL( mbedtls_mpi_mod_residue_setup( &rX, &m, X, limbs ), 0 );
222 rX.limbs = rR.limbs;
Gabor Mezeieca74662022-12-13 10:53:50 +0100223
224 TEST_EQUAL( mbedtls_mpi_mod_mul( &rX, &rA, &rB, &m ), exp_ret );
225
Gabor Mezei809baef2022-12-16 16:31:59 +0100226 mbedtls_mpi_mod_modulus fake_m;
227 mbedtls_mpi_mod_modulus_init( &fake_m );
228
Gabor Mezeieca74662022-12-13 10:53:50 +0100229 /* Check when m is not initialized */
230 TEST_EQUAL( mbedtls_mpi_mod_mul( &rX, &rA, &rB, &fake_m ),
231 MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
232
233exit:
Gabor Mezei809baef2022-12-16 16:31:59 +0100234 mbedtls_free( rA.p );
235 mbedtls_free( rB.p );
236 mbedtls_free( rR.p );
Gabor Mezeieca74662022-12-13 10:53:50 +0100237 mbedtls_free( X );
Gabor Mezei809baef2022-12-16 16:31:59 +0100238 mbedtls_free( (mbedtls_mpi_uint *) m.p );
Gabor Mezeif9728132022-12-20 13:55:37 +0100239
240 mbedtls_mpi_mod_modulus_free( &m );
241 mbedtls_mpi_mod_modulus_free( &fake_m );
Gabor Mezeieca74662022-12-13 10:53:50 +0100242}
243/* END_CASE */
244
Janos Follath5933f692022-11-02 14:35:17 +0000245/* END MERGE SLOT 2 */
246
247/* BEGIN MERGE SLOT 3 */
Tom Cosgrove62b20482022-12-01 14:27:37 +0000248/* BEGIN_CASE */
249void mpi_mod_sub( char * input_N,
250 char * input_A, char * input_B,
Tom Cosgrove7f4d15e2022-12-15 10:55:15 +0000251 char * input_D, int expected_ret )
Tom Cosgrove62b20482022-12-01 14:27:37 +0000252{
253 mbedtls_mpi_mod_residue a = { NULL, 0 };
254 mbedtls_mpi_mod_residue b = { NULL, 0 };
255 mbedtls_mpi_mod_residue d = { NULL, 0 };
256 mbedtls_mpi_mod_residue x = { NULL, 0 };
257 mbedtls_mpi_uint *X_raw = NULL;
Janos Follath5933f692022-11-02 14:35:17 +0000258
Tom Cosgrove62b20482022-12-01 14:27:37 +0000259 mbedtls_mpi_mod_modulus m;
260 mbedtls_mpi_mod_modulus_init( &m );
261
262 TEST_EQUAL( 0,
263 test_read_modulus( &m, MBEDTLS_MPI_MOD_REP_MONTGOMERY, input_N ) );
264
265 /* test_read_residue() normally checks that inputs have the same number of
266 * limbs as the modulus. For negative testing we can ask it to skip this
267 * with a non-zero final parameter. */
Tom Cosgrove7f4d15e2022-12-15 10:55:15 +0000268 TEST_EQUAL( 0, test_read_residue( &a, &m, input_A, expected_ret != 0 ) );
269 TEST_EQUAL( 0, test_read_residue( &b, &m, input_B, expected_ret != 0 ) );
270 TEST_EQUAL( 0, test_read_residue( &d, &m, input_D, expected_ret != 0 ) );
Tom Cosgrove62b20482022-12-01 14:27:37 +0000271
272 size_t limbs = m.limbs;
273 size_t bytes = limbs * sizeof( *X_raw );
274
Tom Cosgrove7f4d15e2022-12-15 10:55:15 +0000275 if( expected_ret == 0 )
Tom Cosgrove62b20482022-12-01 14:27:37 +0000276 {
Tom Cosgrove7f4d15e2022-12-15 10:55:15 +0000277 /* Negative test with too many limbs in output */
278 ASSERT_ALLOC( X_raw, limbs + 1 );
Tom Cosgrove62b20482022-12-01 14:27:37 +0000279
Tom Cosgrove62b20482022-12-01 14:27:37 +0000280 x.p = X_raw;
281 x.limbs = limbs + 1;
282 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
283 mbedtls_mpi_mod_sub( &x, &a, &b, &m ) );
284
Tom Cosgrove7f4d15e2022-12-15 10:55:15 +0000285 mbedtls_free( X_raw );
286 X_raw = NULL;
287
288 /* Negative test with too few limbs in output */
Tom Cosgrove62b20482022-12-01 14:27:37 +0000289 if( limbs > 1 )
290 {
Tom Cosgrove7f4d15e2022-12-15 10:55:15 +0000291 ASSERT_ALLOC( X_raw, limbs - 1 );
292
Tom Cosgrove62b20482022-12-01 14:27:37 +0000293 x.p = X_raw;
294 x.limbs = limbs - 1;
295 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
296 mbedtls_mpi_mod_sub( &x, &a, &b, &m ) );
Tom Cosgrove7f4d15e2022-12-15 10:55:15 +0000297
298 mbedtls_free( X_raw );
299 X_raw = NULL;
Tom Cosgrove62b20482022-12-01 14:27:37 +0000300 }
301
302 /* Negative testing with too many/too few limbs in a and b is covered by
Tom Cosgrove7f4d15e2022-12-15 10:55:15 +0000303 * manually-written test cases with expected_ret != 0. */
Tom Cosgrove62b20482022-12-01 14:27:37 +0000304 }
305
Tom Cosgrove7f4d15e2022-12-15 10:55:15 +0000306 ASSERT_ALLOC( X_raw, limbs );
307
Tom Cosgrove62b20482022-12-01 14:27:37 +0000308 TEST_EQUAL( 0, mbedtls_mpi_mod_residue_setup( &x, &m, X_raw, limbs ) );
309
310 /* a - b => Correct result, or expected error */
Tom Cosgrove7f4d15e2022-12-15 10:55:15 +0000311 TEST_EQUAL( expected_ret, mbedtls_mpi_mod_sub( &x, &a, &b, &m ) );
312 if( expected_ret != 0 )
Tom Cosgrove62b20482022-12-01 14:27:37 +0000313 goto exit;
314
315 TEST_COMPARE_MPI_RESIDUES( x, d );
316
317 /* a - b: alias x to a => Correct result */
318 memcpy( x.p, a.p, bytes );
319 TEST_EQUAL( 0, mbedtls_mpi_mod_sub( &x, &x, &b, &m ) );
320 TEST_COMPARE_MPI_RESIDUES( x, d );
321
322 /* a - b: alias x to b => Correct result */
323 memcpy( x.p, b.p, bytes );
324 TEST_EQUAL( 0, mbedtls_mpi_mod_sub( &x, &a, &x, &m ) );
325 TEST_COMPARE_MPI_RESIDUES( x, d );
326
327 if ( memcmp( a.p, b.p, bytes ) == 0 )
328 {
329 /* a == b: alias a and b */
330
331 /* a - a => Correct result */
332 TEST_EQUAL( 0, mbedtls_mpi_mod_sub( &x, &a, &a, &m ) );
333 TEST_COMPARE_MPI_RESIDUES( x, d );
334
335 /* a - a: x, a, b all aliased together => Correct result */
336 memcpy( x.p, a.p, bytes );
337 TEST_EQUAL( 0, mbedtls_mpi_mod_sub( &x, &x, &x, &m ) );
338 TEST_COMPARE_MPI_RESIDUES( x, d );
339 }
340
341exit:
342 mbedtls_free( (void *)m.p ); /* mbedtls_mpi_mod_modulus_free() sets m.p = NULL */
343 mbedtls_mpi_mod_modulus_free( &m );
344
345 mbedtls_free( a.p );
346 mbedtls_free( b.p );
347 mbedtls_free( d.p );
348 mbedtls_free( X_raw );
349}
350/* END_CASE */
Tom Cosgrovedc197592022-12-15 16:59:40 +0000351
352/* BEGIN_CASE */
353void mpi_mod_inv_mont( char * input_N,
354 char * input_A, char * input_I,
355 int expected_ret )
356{
357 mbedtls_mpi_mod_residue a = { NULL, 0 }; /* argument */
358 mbedtls_mpi_mod_residue i = { NULL, 0 }; /* expected inverse wrt N */
359 mbedtls_mpi_mod_residue x = { NULL, 0 }; /* output */
360 mbedtls_mpi_uint *X_raw = NULL;
361
362 mbedtls_mpi_mod_modulus N;
363 mbedtls_mpi_mod_modulus_init( &N );
364
365 TEST_EQUAL( 0,
366 test_read_modulus( &N, MBEDTLS_MPI_MOD_REP_MONTGOMERY, input_N ) );
367
368 /* test_read_residue() normally checks that inputs have the same number of
369 * limbs as the modulus. For negative testing we can ask it to skip this
370 * with a non-zero final parameter. */
371 TEST_EQUAL( 0, test_read_residue( &a, &N, input_A, expected_ret != 0 ) );
372 TEST_EQUAL( 0, test_read_residue( &i, &N, input_I, expected_ret != 0 ) );
373
374 size_t limbs = N.limbs;
375 size_t bytes = limbs * sizeof( *X_raw );
376
377 ASSERT_ALLOC( X_raw, limbs );
378
379 TEST_EQUAL( 0, mbedtls_mpi_mod_residue_setup( &x, &N, X_raw, limbs ) );
380
381 TEST_EQUAL( expected_ret, mbedtls_mpi_mod_inv( &x, &a, &N ) );
382 if( expected_ret == 0 )
383 {
384 TEST_COMPARE_MPI_RESIDUES( x, i );
385
386 /* a^-1: alias x to a => Correct result */
387 memcpy( x.p, a.p, bytes );
388 TEST_EQUAL( 0, mbedtls_mpi_mod_inv( &x, &x, &N ) );
389 TEST_COMPARE_MPI_RESIDUES( x, i );
390 }
391
392exit:
393 mbedtls_free( (void *)N.p ); /* mbedtls_mpi_mod_modulus_free() sets N.p = NULL */
394 mbedtls_mpi_mod_modulus_free( &N );
395
396 mbedtls_free( a.p );
397 mbedtls_free( i.p );
398 mbedtls_free( X_raw );
399}
400/* END_CASE */
401
402/* BEGIN_CASE */
403void mpi_mod_inv_non_mont( char * input_N,
404 char * input_A, char * input_I,
405 int expected_ret )
406{
407 mbedtls_mpi_mod_residue a = { NULL, 0 }; /* argument */
408 mbedtls_mpi_mod_residue i = { NULL, 0 }; /* expected inverse wrt N */
409 mbedtls_mpi_mod_residue x = { NULL, 0 }; /* output */
410 mbedtls_mpi_uint *X_raw = NULL;
411
412 mbedtls_mpi_mod_modulus N;
413 mbedtls_mpi_mod_modulus_init( &N );
414
415 TEST_EQUAL( 0,
416 test_read_modulus( &N, MBEDTLS_MPI_MOD_REP_OPT_RED, input_N ) );
417
418 /* test_read_residue() normally checks that inputs have the same number of
419 * limbs as the modulus. For negative testing we can ask it to skip this
420 * with a non-zero final parameter. */
421 TEST_EQUAL( 0, test_read_residue( &a, &N, input_A, expected_ret != 0 ) );
422 TEST_EQUAL( 0, test_read_residue( &i, &N, input_I, expected_ret != 0 ) );
423
424 size_t limbs = N.limbs;
425 size_t bytes = limbs * sizeof( *X_raw );
426
427 ASSERT_ALLOC( X_raw, limbs );
428
429 TEST_EQUAL( 0, mbedtls_mpi_mod_residue_setup( &x, &N, X_raw, limbs ) );
430
431 TEST_EQUAL( expected_ret, mbedtls_mpi_mod_inv( &x, &a, &N ) );
432 if( expected_ret == 0 )
433 {
434 TEST_COMPARE_MPI_RESIDUES( x, i );
435
436 /* a^-1: alias x to a => Correct result */
437 memcpy( x.p, a.p, bytes );
438 TEST_EQUAL( 0, mbedtls_mpi_mod_inv( &x, &x, &N ) );
439 TEST_COMPARE_MPI_RESIDUES( x, i );
440 }
441
442exit:
443 mbedtls_free( (void *)N.p ); /* mbedtls_mpi_mod_modulus_free() sets N.p = NULL */
444 mbedtls_mpi_mod_modulus_free( &N );
445
446 mbedtls_free( a.p );
447 mbedtls_free( i.p );
448 mbedtls_free( X_raw );
449}
450/* END_CASE */
Janos Follath5933f692022-11-02 14:35:17 +0000451/* END MERGE SLOT 3 */
452
453/* BEGIN MERGE SLOT 4 */
454
455/* END MERGE SLOT 4 */
456
457/* BEGIN MERGE SLOT 5 */
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000458/* BEGIN_CASE */
459void mpi_mod_add( char * input_N,
460 char * input_A, char * input_B,
Werner Lewis25690a92022-12-13 17:17:34 +0000461 char * input_S, int expected_ret )
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000462{
463 mbedtls_mpi_mod_residue a = { NULL, 0 };
464 mbedtls_mpi_mod_residue b = { NULL, 0 };
465 mbedtls_mpi_mod_residue s = { NULL, 0 };
466 mbedtls_mpi_mod_residue x = { NULL, 0 };
467 mbedtls_mpi_uint *X_raw = NULL;
Janos Follath5933f692022-11-02 14:35:17 +0000468
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000469 mbedtls_mpi_mod_modulus m;
470 mbedtls_mpi_mod_modulus_init( &m );
471
472 TEST_EQUAL( 0,
473 test_read_modulus( &m, MBEDTLS_MPI_MOD_REP_MONTGOMERY, input_N ) );
474
475 /* test_read_residue() normally checks that inputs have the same number of
476 * limbs as the modulus. For negative testing we can ask it to skip this
477 * with a non-zero final parameter. */
Werner Lewis25690a92022-12-13 17:17:34 +0000478 TEST_EQUAL( 0, test_read_residue( &a, &m, input_A, expected_ret != 0 ) );
479 TEST_EQUAL( 0, test_read_residue( &b, &m, input_B, expected_ret != 0 ) );
480 TEST_EQUAL( 0, test_read_residue( &s, &m, input_S, expected_ret != 0 ) );
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000481
482 size_t limbs = m.limbs;
483 size_t bytes = limbs * sizeof( *X_raw );
484
Werner Lewis25690a92022-12-13 17:17:34 +0000485 if( expected_ret == 0 )
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000486 {
487 /* Negative test with too many limbs in output */
Werner Lewis79341a42022-12-13 17:19:01 +0000488 ASSERT_ALLOC( X_raw, limbs + 1 );
489
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000490 x.p = X_raw;
491 x.limbs = limbs + 1;
492 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
493 mbedtls_mpi_mod_add( &x, &a, &b, &m ) );
494
Werner Lewis79341a42022-12-13 17:19:01 +0000495 mbedtls_free( X_raw );
496 X_raw = NULL;
497
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000498 /* Negative test with too few limbs in output */
499 if( limbs > 1 )
500 {
Werner Lewis79341a42022-12-13 17:19:01 +0000501 ASSERT_ALLOC( X_raw, limbs - 1 );
502
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000503 x.p = X_raw;
504 x.limbs = limbs - 1;
505 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
506 mbedtls_mpi_mod_add( &x, &a, &b, &m ) );
Werner Lewis79341a42022-12-13 17:19:01 +0000507
508 mbedtls_free( X_raw );
509 X_raw = NULL;
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000510 }
511
512 /* Negative testing with too many/too few limbs in a and b is covered by
513 * manually-written test cases with oret != 0. */
514 }
515
Werner Lewis79341a42022-12-13 17:19:01 +0000516 /* Allocate correct number of limbs for X_raw */
517 ASSERT_ALLOC( X_raw, limbs );
518
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000519 TEST_EQUAL( 0, mbedtls_mpi_mod_residue_setup( &x, &m, X_raw, limbs ) );
520
521 /* A + B => Correct result or expected error */
Werner Lewis25690a92022-12-13 17:17:34 +0000522 TEST_EQUAL( expected_ret, mbedtls_mpi_mod_add( &x, &a, &b, &m ) );
523 if( expected_ret != 0 )
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000524 goto exit;
525
526 TEST_COMPARE_MPI_RESIDUES( x, s );
527
528 /* a + b: alias x to a => Correct result */
529 memcpy( x.p, a.p, bytes );
530 TEST_EQUAL( 0, mbedtls_mpi_mod_add( &x, &x, &b, &m ) );
531 TEST_COMPARE_MPI_RESIDUES( x, s );
532
533 /* a + b: alias x to b => Correct result */
534 memcpy( x.p, b.p, bytes );
535 TEST_EQUAL( 0, mbedtls_mpi_mod_add( &x, &a, &x, &m ) );
536 TEST_COMPARE_MPI_RESIDUES( x, s );
537
538 if ( memcmp( a.p, b.p, bytes ) == 0 )
539 {
540 /* a == b: alias a and b */
541
542 /* a + a => Correct result */
543 TEST_EQUAL( 0, mbedtls_mpi_mod_add( &x, &a, &a, &m ) );
544 TEST_COMPARE_MPI_RESIDUES( x, s );
545
546 /* a + a: x, a, b all aliased together => Correct result */
547 memcpy( x.p, a.p, bytes );
548 TEST_EQUAL( 0, mbedtls_mpi_mod_add( &x, &x, &x, &m ) );
549 TEST_COMPARE_MPI_RESIDUES( x, s );
550 }
Werner Lewise1b6b7c2022-11-29 12:25:05 +0000551
552exit:
553 mbedtls_free( (void *)m.p ); /* mbedtls_mpi_mod_modulus_free() sets m.p = NULL */
554 mbedtls_mpi_mod_modulus_free( &m );
555
556 mbedtls_free( a.p );
557 mbedtls_free( b.p );
558 mbedtls_free( s.p );
559 mbedtls_free( X_raw );
560}
561/* END_CASE */
Janos Follath5933f692022-11-02 14:35:17 +0000562/* END MERGE SLOT 5 */
563
564/* BEGIN MERGE SLOT 6 */
565
566/* END MERGE SLOT 6 */
567
568/* BEGIN MERGE SLOT 7 */
Minos Galanakis8f242702022-11-10 16:56:02 +0000569/* BEGIN_CASE */
Janos Follath91f3abd2022-11-26 11:47:14 +0000570void mpi_residue_setup( char * input_N, char * input_R, int ret )
Minos Galanakisa17ad482022-11-16 16:29:15 +0000571{
Minos Galanakisa17ad482022-11-16 16:29:15 +0000572 mbedtls_mpi_uint *N = NULL;
573 mbedtls_mpi_uint *R = NULL;
Minos Galanakisaed832a2022-11-24 09:09:47 +0000574 size_t n_limbs, r_limbs;
Minos Galanakisa17ad482022-11-16 16:29:15 +0000575 mbedtls_mpi_mod_modulus m;
576 mbedtls_mpi_mod_residue r;
577
Minos Galanakisa17ad482022-11-16 16:29:15 +0000578 mbedtls_mpi_mod_modulus_init( &m );
579
Minos Galanakisaed832a2022-11-24 09:09:47 +0000580 /* Allocate the memory for intermediate data structures */
Janos Follath91f3abd2022-11-26 11:47:14 +0000581 TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &N, &n_limbs, input_N ) );
582 TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &R, &r_limbs, input_R ) );
Minos Galanakisaed832a2022-11-24 09:09:47 +0000583
Minos Galanakisa17ad482022-11-16 16:29:15 +0000584 TEST_EQUAL( 0, mbedtls_mpi_mod_modulus_setup( &m, N, n_limbs,
Janos Follath91295d22022-11-24 18:20:26 +0000585 MBEDTLS_MPI_MOD_REP_MONTGOMERY ) );
Minos Galanakisa17ad482022-11-16 16:29:15 +0000586
Minos Galanakisaed832a2022-11-24 09:09:47 +0000587 TEST_EQUAL( ret, mbedtls_mpi_mod_residue_setup( &r, &m, R , r_limbs ) );
Minos Galanakisa17ad482022-11-16 16:29:15 +0000588
Janos Follath91f3abd2022-11-26 11:47:14 +0000589 if ( ret == 0 )
590 {
591 TEST_EQUAL( r.limbs, r_limbs );
592 TEST_ASSERT( r.p == R );
593 }
594
Minos Galanakisa17ad482022-11-16 16:29:15 +0000595exit:
596 mbedtls_mpi_mod_modulus_free( &m );
597 mbedtls_free( N );
598 mbedtls_free( R );
Minos Galanakisa17ad482022-11-16 16:29:15 +0000599}
600/* END_CASE */
Minos Galanakisaed832a2022-11-24 09:09:47 +0000601
Minos Galanakisa17ad482022-11-16 16:29:15 +0000602/* BEGIN_CASE */
Janos Follath339b4392022-11-26 12:20:41 +0000603void mpi_mod_io_neg( char * input_N, data_t * buf, int ret )
Minos Galanakis8f242702022-11-10 16:56:02 +0000604{
Minos Galanakis8f242702022-11-10 16:56:02 +0000605 mbedtls_mpi_uint *N = NULL;
606 mbedtls_mpi_uint *R = NULL;
Minos Galanakis8f242702022-11-10 16:56:02 +0000607
608 mbedtls_mpi_mod_modulus m;
Janos Follathe7190a22022-11-26 18:46:54 +0000609 mbedtls_mpi_mod_residue r = { NULL, 0 };
Minos Galanakis96070a52022-11-25 19:32:10 +0000610 mbedtls_mpi_mod_ext_rep endian = MBEDTLS_MPI_MOD_EXT_REP_LE;
Minos Galanakis8f242702022-11-10 16:56:02 +0000611
Janos Follath799eaee2022-11-25 15:57:04 +0000612 mbedtls_mpi_mod_modulus_init( &m );
Janos Follath799eaee2022-11-25 15:57:04 +0000613
Janos Follath339b4392022-11-26 12:20:41 +0000614 size_t n_limbs;
Minos Galanakis96070a52022-11-25 19:32:10 +0000615 TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &N, &n_limbs, input_N ) );
Janos Follath339b4392022-11-26 12:20:41 +0000616 size_t r_limbs = n_limbs;
617 ASSERT_ALLOC( R, r_limbs );
Minos Galanakis8f242702022-11-10 16:56:02 +0000618
Janos Follathe7190a22022-11-26 18:46:54 +0000619 /* modulus->p == NULL || residue->p == NULL ( m has not been set-up ) */
Janos Follath3e3fc912022-11-24 18:02:46 +0000620 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
Janos Follath566c91d2022-11-26 12:05:50 +0000621 mbedtls_mpi_mod_read( &r, &m, buf->x, buf->len, endian ) );
Minos Galanakis8f242702022-11-10 16:56:02 +0000622
Minos Galanakis96070a52022-11-25 19:32:10 +0000623 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
Janos Follath566c91d2022-11-26 12:05:50 +0000624 mbedtls_mpi_mod_write( &r, &m, buf->x, buf->len, endian ) );
Minos Galanakis8f242702022-11-10 16:56:02 +0000625
Janos Follathe7190a22022-11-26 18:46:54 +0000626 /* Set up modulus and test with residue->p == NULL */
Minos Galanakis96070a52022-11-25 19:32:10 +0000627 TEST_EQUAL( 0, mbedtls_mpi_mod_modulus_setup( &m, N, n_limbs,
628 MBEDTLS_MPI_MOD_REP_MONTGOMERY ) );
Minos Galanakis96070a52022-11-25 19:32:10 +0000629
Minos Galanakis96070a52022-11-25 19:32:10 +0000630 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
Janos Follathe7190a22022-11-26 18:46:54 +0000631 mbedtls_mpi_mod_read( &r, &m, buf->x, buf->len, endian ) );
Minos Galanakis96070a52022-11-25 19:32:10 +0000632 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
Janos Follathe7190a22022-11-26 18:46:54 +0000633 mbedtls_mpi_mod_write( &r, &m, buf->x, buf->len, endian ) );
634
635 /* Do the rest of the tests with a residue set up with the input data */
636 TEST_EQUAL( 0, mbedtls_mpi_mod_residue_setup( &r, &m, R , r_limbs ) );
Minos Galanakis96070a52022-11-25 19:32:10 +0000637
Janos Follathd7bb3522022-11-26 14:59:27 +0000638 /* Fail for r_limbs < m->limbs */
639 r.limbs--;
640 TEST_ASSERT( r.limbs < m.limbs );
Minos Galanakis96070a52022-11-25 19:32:10 +0000641 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
Janos Follath566c91d2022-11-26 12:05:50 +0000642 mbedtls_mpi_mod_read( &r, &m, buf->x, buf->len, endian ) );
Minos Galanakis96070a52022-11-25 19:32:10 +0000643 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
Janos Follath566c91d2022-11-26 12:05:50 +0000644 mbedtls_mpi_mod_write( &r, &m, buf->x, buf->len, endian ) );
Janos Follathd7bb3522022-11-26 14:59:27 +0000645 r.limbs++;
646
647 /* Fail for r_limbs > m->limbs */
648 m.limbs--;
649 TEST_ASSERT( r.limbs > m.limbs );
650 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
651 mbedtls_mpi_mod_read( &r, &m, buf->x, buf->len, endian ) );
652 TEST_EQUAL( MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
653 mbedtls_mpi_mod_write( &r, &m, buf->x, buf->len, endian ) );
654 m.limbs++;
Minos Galanakis96070a52022-11-25 19:32:10 +0000655
656 /* Test the read */
Janos Follath566c91d2022-11-26 12:05:50 +0000657 TEST_EQUAL( ret, mbedtls_mpi_mod_read( &r, &m, buf->x, buf->len, endian ) );
Minos Galanakis96070a52022-11-25 19:32:10 +0000658
659 /* Test write overflow only when the representation is large and read is successful */
Janos Follath6ef582f2022-11-26 14:19:02 +0000660 if ( r.limbs > 1 && ret == 0 )
Minos Galanakis96070a52022-11-25 19:32:10 +0000661 TEST_EQUAL( MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL,
Janos Follath566c91d2022-11-26 12:05:50 +0000662 mbedtls_mpi_mod_write( &r, &m, buf->x, 1, endian ) );
Janos Follathd7bb3522022-11-26 14:59:27 +0000663
Minos Galanakis8f242702022-11-10 16:56:02 +0000664exit:
Janos Follathd7bb3522022-11-26 14:59:27 +0000665 mbedtls_mpi_mod_residue_release( &r );
Minos Galanakis8f242702022-11-10 16:56:02 +0000666 mbedtls_mpi_mod_modulus_free( &m );
Minos Galanakis8f242702022-11-10 16:56:02 +0000667 mbedtls_free( N );
668 mbedtls_free( R );
Minos Galanakis8f242702022-11-10 16:56:02 +0000669}
670/* END_CASE */
671
672/* BEGIN_CASE */
Janos Follath3e3fc912022-11-24 18:02:46 +0000673void mpi_mod_io( char * input_N, data_t * input_A, int endian )
Minos Galanakis8f242702022-11-10 16:56:02 +0000674{
675 mbedtls_mpi_uint *N = NULL;
676 mbedtls_mpi_uint *R = NULL;
Janos Follath8dfc8c42022-11-26 15:39:02 +0000677 mbedtls_mpi_uint *R_COPY = NULL;
Janos Follath0020df92022-11-26 17:23:16 +0000678 unsigned char *obuf = NULL;
679 unsigned char *ref_buf = NULL;
Minos Galanakis8f242702022-11-10 16:56:02 +0000680 mbedtls_mpi_mod_modulus m;
681 mbedtls_mpi_mod_residue r;
Janos Follath8dfc8c42022-11-26 15:39:02 +0000682 mbedtls_mpi_mod_residue r_copy;
Minos Galanakis8f242702022-11-10 16:56:02 +0000683 size_t n_limbs, n_bytes, a_bytes;
684
Janos Follath799eaee2022-11-25 15:57:04 +0000685 mbedtls_mpi_mod_modulus_init( &m );
686
Minos Galanakis8f242702022-11-10 16:56:02 +0000687 /* Read inputs */
688 TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &N, &n_limbs, input_N ) );
689 n_bytes = n_limbs * sizeof( mbedtls_mpi_uint );
Janos Follath6ef582f2022-11-26 14:19:02 +0000690 a_bytes = input_A->len;
Minos Galanakis8f242702022-11-10 16:56:02 +0000691
692 /* Allocate the memory for intermediate data structures */
693 ASSERT_ALLOC( R, n_bytes );
Janos Follath8dfc8c42022-11-26 15:39:02 +0000694 ASSERT_ALLOC( R_COPY, n_bytes );
Minos Galanakis8f242702022-11-10 16:56:02 +0000695
696 /* Test that input's size is not greater to modulo's */
Janos Follath6ef582f2022-11-26 14:19:02 +0000697 TEST_LE_U( a_bytes, n_bytes );
Minos Galanakis8f242702022-11-10 16:56:02 +0000698
699 /* Init Structures */
Janos Follath91295d22022-11-24 18:20:26 +0000700 TEST_EQUAL( 0, mbedtls_mpi_mod_modulus_setup( &m, N, n_limbs,
Minos Galanakis8f242702022-11-10 16:56:02 +0000701 MBEDTLS_MPI_MOD_REP_MONTGOMERY ) );
702
703 /* Enforcing p_limbs >= m->limbs */
Janos Follath3e3fc912022-11-24 18:02:46 +0000704 TEST_EQUAL( 0, mbedtls_mpi_mod_residue_setup( &r, &m, R, n_limbs ) );
Minos Galanakis8f242702022-11-10 16:56:02 +0000705
Janos Follath3e3fc912022-11-24 18:02:46 +0000706 TEST_EQUAL( 0, mbedtls_mpi_mod_read( &r, &m, input_A->x, input_A->len,
707 endian ) );
Minos Galanakis8f242702022-11-10 16:56:02 +0000708
Janos Follath0020df92022-11-26 17:23:16 +0000709 /* Read a copy for checking that writing didn't change the value of r */
710 TEST_EQUAL( 0, mbedtls_mpi_mod_residue_setup( &r_copy, &m,
711 R_COPY, n_limbs ) );
Janos Follath8dfc8c42022-11-26 15:39:02 +0000712 TEST_EQUAL( 0, mbedtls_mpi_mod_read( &r_copy, &m, input_A->x, input_A->len,
713 endian ) );
Janos Follath8dfc8c42022-11-26 15:39:02 +0000714
Janos Follath0020df92022-11-26 17:23:16 +0000715 /* Get number of bytes without leading zeroes */
716 size_t a_bytes_trimmed = a_bytes;
717 while( a_bytes_trimmed > 0 )
718 {
719 unsigned char* r_byte_array = (unsigned char*) r.p;
720 if( r_byte_array[--a_bytes_trimmed] != 0 )
721 break;
722 }
723 a_bytes_trimmed++;
724
725 /* Test write with three output buffer sizes: tight, same as input and
726 * longer than the input */
727 size_t obuf_sizes[3];
728 const size_t obuf_sizes_len = sizeof( obuf_sizes ) / sizeof( obuf_sizes[0] );
729 obuf_sizes[0] = a_bytes_trimmed;
730 obuf_sizes[1] = a_bytes;
731 obuf_sizes[2] = a_bytes + 8;
732
733 for( size_t i = 0; i < obuf_sizes_len; i++ )
734 {
735 ASSERT_ALLOC( obuf, obuf_sizes[i] );
736 TEST_EQUAL( 0, mbedtls_mpi_mod_write( &r, &m, obuf, obuf_sizes[i], endian ) );
737
738 /* Make sure that writing didn't corrupt the value of r */
739 ASSERT_COMPARE( r.p, r.limbs, r_copy.p, r_copy.limbs );
740
741 /* Set up reference output for checking the result */
742 ASSERT_ALLOC( ref_buf, obuf_sizes[i] );
743 switch( endian )
744 {
745 case MBEDTLS_MPI_MOD_EXT_REP_LE:
746 memcpy( ref_buf, input_A->x, a_bytes_trimmed );
747 break;
748 case MBEDTLS_MPI_MOD_EXT_REP_BE:
749 {
750 size_t a_offset = input_A->len - a_bytes_trimmed;
751 size_t ref_offset = obuf_sizes[i] - a_bytes_trimmed;
752 memcpy( ref_buf + ref_offset, input_A->x + a_offset,
753 a_bytes_trimmed );
754 }
755 break;
756 default:
757 TEST_ASSERT( 0 );
758 }
759
760 /* Check the result */
761 ASSERT_COMPARE( obuf, obuf_sizes[i], ref_buf, obuf_sizes[i] );
762
763 mbedtls_free( ref_buf );
764 ref_buf = NULL;
765 mbedtls_free( obuf );
766 obuf = NULL;
767 }
768
Minos Galanakis8f242702022-11-10 16:56:02 +0000769exit:
770 mbedtls_mpi_mod_modulus_free( &m );
771 mbedtls_free( N );
772 mbedtls_free( R );
Janos Follath8dfc8c42022-11-26 15:39:02 +0000773 mbedtls_free( R_COPY );
Janos Follath0020df92022-11-26 17:23:16 +0000774 mbedtls_free( obuf );
Minos Galanakis8f242702022-11-10 16:56:02 +0000775}
776/* END_CASE */
Janos Follath5933f692022-11-02 14:35:17 +0000777/* END MERGE SLOT 7 */
778
779/* BEGIN MERGE SLOT 8 */
780
781/* END MERGE SLOT 8 */
782
783/* BEGIN MERGE SLOT 9 */
784
785/* END MERGE SLOT 9 */
786
787/* BEGIN MERGE SLOT 10 */
788
789/* END MERGE SLOT 10 */