quickjs-tart

quickjs-based runtime for wallet-core logic
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test_suite_bignum_mod.function (23542B)


      1 /* BEGIN_HEADER */
      2 #include "mbedtls/bignum.h"
      3 #include "mbedtls/entropy.h"
      4 #include "bignum_mod.h"
      5 #include "bignum_mod_raw.h"
      6 #include "constant_time_internal.h"
      7 #include "test/constant_flow.h"
      8 
      9 #define TEST_COMPARE_MPI_RESIDUES(a, b) \
     10     TEST_MEMORY_COMPARE((a).p, (a).limbs * sizeof(mbedtls_mpi_uint), \
     11                         (b).p, (b).limbs * sizeof(mbedtls_mpi_uint))
     12 
     13 static int test_read_residue(mbedtls_mpi_mod_residue *r,
     14                              const mbedtls_mpi_mod_modulus *m,
     15                              char *input,
     16                              int skip_limbs_and_value_checks)
     17 {
     18     mbedtls_mpi_uint *p = NULL;
     19     size_t limbs;
     20 
     21     int ret = mbedtls_test_read_mpi_core(&p, &limbs, input);
     22     if (ret != 0) {
     23         return ret;
     24     }
     25 
     26     if (skip_limbs_and_value_checks) {
     27         r->p = p;
     28         r->limbs = limbs;
     29         return 0;
     30     }
     31 
     32     /* mbedtls_mpi_mod_residue_setup() checks limbs, and that value < m */
     33     return mbedtls_mpi_mod_residue_setup(r, m, p, limbs);
     34 }
     35 /* END_HEADER */
     36 
     37 /* BEGIN_DEPENDENCIES
     38  * depends_on:MBEDTLS_BIGNUM_C:MBEDTLS_ECP_WITH_MPI_UINT
     39  * END_DEPENDENCIES
     40  */
     41 
     42 /* BEGIN_CASE */
     43 void mpi_mod_setup(int int_rep, int iret)
     44 {
     45     #define MLIMBS 8
     46     mbedtls_mpi_uint mp[MLIMBS];
     47     mbedtls_mpi_mod_modulus m;
     48     int ret;
     49 
     50     memset(mp, 0xFF, sizeof(mp));
     51 
     52     mbedtls_mpi_mod_modulus_init(&m);
     53 
     54     switch (int_rep) {
     55         case MBEDTLS_MPI_MOD_REP_MONTGOMERY:
     56             ret = mbedtls_mpi_mod_modulus_setup(&m, mp, MLIMBS);
     57             break;
     58         case MBEDTLS_MPI_MOD_REP_OPT_RED:
     59             ret = mbedtls_mpi_mod_optred_modulus_setup(&m, mp, MLIMBS, NULL);
     60             break;
     61         default:
     62             ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
     63             break;
     64     }
     65 
     66     TEST_EQUAL(ret, iret);
     67 
     68     /* Only test if the constants have been set-up  */
     69     if (ret == 0 && int_rep == MBEDTLS_MPI_MOD_REP_MONTGOMERY) {
     70         /* Test that the consts have been calculated */
     71         TEST_ASSERT(m.rep.mont.rr != NULL);
     72         TEST_ASSERT(m.rep.mont.mm != 0);
     73 
     74     }
     75 
     76     /* Address sanitiser should catch if we try to free mp */
     77     mbedtls_mpi_mod_modulus_free(&m);
     78 
     79     /* Make sure that the modulus doesn't have reference to mp anymore */
     80     TEST_ASSERT(m.p != mp);
     81 
     82     /* Only test if the constants have been set-up  */
     83     if (ret == 0 && int_rep == MBEDTLS_MPI_MOD_REP_MONTGOMERY) {
     84         /* Verify the data and pointers allocated have been properly wiped */
     85         TEST_ASSERT(m.rep.mont.rr == NULL);
     86         TEST_ASSERT(m.rep.mont.mm == 0);
     87     }
     88 exit:
     89     /* It should be safe to call an mbedtls free several times */
     90     mbedtls_mpi_mod_modulus_free(&m);
     91 
     92     #undef MLIMBS
     93 }
     94 /* END_CASE */
     95 
     96 /* BEGIN_CASE */
     97 void mpi_mod_mul(char *input_A,
     98                  char *input_B,
     99                  char *input_N,
    100                  char *result)
    101 {
    102     mbedtls_mpi_uint *X = NULL;
    103 
    104     mbedtls_mpi_mod_residue rA = { NULL, 0 };
    105     mbedtls_mpi_mod_residue rB = { NULL, 0 };
    106     mbedtls_mpi_mod_residue rR = { NULL, 0 };
    107     mbedtls_mpi_mod_residue rX = { NULL, 0 };
    108 
    109     mbedtls_mpi_mod_modulus m;
    110     mbedtls_mpi_mod_modulus_init(&m);
    111 
    112     TEST_EQUAL(mbedtls_test_read_mpi_modulus(&m, input_N,
    113                                              MBEDTLS_MPI_MOD_REP_MONTGOMERY), 0);
    114 
    115     TEST_EQUAL(test_read_residue(&rA, &m, input_A, 0), 0);
    116     TEST_EQUAL(test_read_residue(&rB, &m, input_B, 0), 0);
    117     TEST_EQUAL(test_read_residue(&rR, &m, result,  0), 0);
    118 
    119     const size_t limbs = m.limbs;
    120     const size_t bytes = limbs * sizeof(mbedtls_mpi_uint);
    121 
    122     TEST_EQUAL(rA.limbs, limbs);
    123     TEST_EQUAL(rB.limbs, limbs);
    124     TEST_EQUAL(rR.limbs, limbs);
    125 
    126     TEST_CALLOC(X, limbs);
    127 
    128     TEST_EQUAL(mbedtls_mpi_mod_residue_setup(&rX, &m, X, limbs), 0);
    129 
    130     TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rA, &rB, &m), 0);
    131     TEST_MEMORY_COMPARE(rX.p, bytes, rR.p, bytes);
    132 
    133     /* alias X to A */
    134     memcpy(rX.p, rA.p, bytes);
    135     TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rX, &rB, &m), 0);
    136     TEST_MEMORY_COMPARE(rX.p, bytes, rR.p, bytes);
    137 
    138     /* alias X to B */
    139     memcpy(rX.p, rB.p, bytes);
    140     TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rA, &rX, &m), 0);
    141     TEST_MEMORY_COMPARE(rX.p, bytes, rR.p, bytes);
    142 
    143     /* A == B: alias A and B */
    144     if (memcmp(rA.p, rB.p, bytes) == 0) {
    145         TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rA, &rA, &m), 0);
    146         TEST_MEMORY_COMPARE(rX.p, bytes, rR.p, bytes);
    147 
    148         /* X, A, B all aliased together */
    149         memcpy(rX.p, rA.p, bytes);
    150         TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rX, &rX, &m), 0);
    151         TEST_MEMORY_COMPARE(rX.p, bytes, rR.p, bytes);
    152     }
    153     /* A != B: test B * A */
    154     else {
    155         TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rB, &rA, &m), 0);
    156         TEST_MEMORY_COMPARE(rX.p, bytes, rR.p, bytes);
    157 
    158         /* B * A: alias X to A */
    159         memcpy(rX.p, rA.p, bytes);
    160         TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rB, &rX, &m), 0);
    161         TEST_MEMORY_COMPARE(rX.p, bytes, rR.p, bytes);
    162 
    163         /* B + A: alias X to B */
    164         memcpy(rX.p, rB.p, bytes);
    165         TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rX, &rA, &m), 0);
    166         TEST_MEMORY_COMPARE(rX.p, bytes, rR.p, bytes);
    167     }
    168 
    169 exit:
    170     mbedtls_free(rA.p);
    171     mbedtls_free(rB.p);
    172     mbedtls_free(rR.p);
    173     mbedtls_free(X);
    174     mbedtls_free((mbedtls_mpi_uint *) m.p);
    175 
    176     mbedtls_mpi_mod_modulus_free(&m);
    177 }
    178 /* END_CASE */
    179 
    180 /* BEGIN_CASE */
    181 void mpi_mod_mul_neg(char *input_A,
    182                      char *input_B,
    183                      char *input_N,
    184                      char *result,
    185                      int exp_ret)
    186 {
    187     mbedtls_mpi_uint *X = NULL;
    188 
    189     mbedtls_mpi_mod_residue rA = { NULL, 0 };
    190     mbedtls_mpi_mod_residue rB = { NULL, 0 };
    191     mbedtls_mpi_mod_residue rR = { NULL, 0 };
    192     mbedtls_mpi_mod_residue rX = { NULL, 0 };
    193 
    194     mbedtls_mpi_mod_modulus m;
    195     mbedtls_mpi_mod_modulus_init(&m);
    196 
    197     mbedtls_mpi_mod_modulus fake_m;
    198     mbedtls_mpi_mod_modulus_init(&fake_m);
    199 
    200     TEST_EQUAL(mbedtls_test_read_mpi_modulus(&m, input_N,
    201                                              MBEDTLS_MPI_MOD_REP_MONTGOMERY), 0);
    202 
    203     TEST_EQUAL(test_read_residue(&rA, &m, input_A, 1), 0);
    204     TEST_EQUAL(test_read_residue(&rB, &m, input_B, 1), 0);
    205     TEST_EQUAL(test_read_residue(&rR, &m, result,  1), 0);
    206 
    207     const size_t limbs = m.limbs;
    208 
    209     TEST_CALLOC(X, limbs);
    210 
    211     TEST_EQUAL(mbedtls_mpi_mod_residue_setup(&rX, &m, X, limbs), 0);
    212     rX.limbs = rR.limbs;
    213 
    214     TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rA, &rB, &m), exp_ret);
    215 
    216     /* Check when m is not initialized */
    217     TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rA, &rB, &fake_m),
    218                MBEDTLS_ERR_MPI_BAD_INPUT_DATA);
    219 
    220 exit:
    221     mbedtls_free(rA.p);
    222     mbedtls_free(rB.p);
    223     mbedtls_free(rR.p);
    224     mbedtls_free(X);
    225     mbedtls_free((mbedtls_mpi_uint *) m.p);
    226 
    227     mbedtls_mpi_mod_modulus_free(&m);
    228     mbedtls_mpi_mod_modulus_free(&fake_m);
    229 }
    230 /* END_CASE */
    231 
    232 /* BEGIN_CASE */
    233 void mpi_mod_sub(char *input_N,
    234                  char *input_A, char *input_B,
    235                  char *input_D, int expected_ret)
    236 {
    237     mbedtls_mpi_mod_residue a = { NULL, 0 };
    238     mbedtls_mpi_mod_residue b = { NULL, 0 };
    239     mbedtls_mpi_mod_residue d = { NULL, 0 };
    240     mbedtls_mpi_mod_residue x = { NULL, 0 };
    241     mbedtls_mpi_uint *X_raw = NULL;
    242 
    243     mbedtls_mpi_mod_modulus m;
    244     mbedtls_mpi_mod_modulus_init(&m);
    245 
    246     TEST_EQUAL(0,
    247                mbedtls_test_read_mpi_modulus(&m, input_N,
    248                                              MBEDTLS_MPI_MOD_REP_MONTGOMERY));
    249 
    250     /* test_read_residue() normally checks that inputs have the same number of
    251      * limbs as the modulus. For negative testing we can ask it to skip this
    252      * with a non-zero final parameter. */
    253     TEST_EQUAL(0, test_read_residue(&a, &m, input_A, expected_ret != 0));
    254     TEST_EQUAL(0, test_read_residue(&b, &m, input_B, expected_ret != 0));
    255     TEST_EQUAL(0, test_read_residue(&d, &m, input_D, expected_ret != 0));
    256 
    257     size_t limbs = m.limbs;
    258     size_t bytes = limbs * sizeof(*X_raw);
    259 
    260     if (expected_ret == 0) {
    261         /* Negative test with too many limbs in output */
    262         TEST_CALLOC(X_raw, limbs + 1);
    263 
    264         x.p = X_raw;
    265         x.limbs = limbs + 1;
    266         TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    267                    mbedtls_mpi_mod_sub(&x, &a, &b, &m));
    268 
    269         mbedtls_free(X_raw);
    270         X_raw = NULL;
    271 
    272         /* Negative test with too few limbs in output */
    273         if (limbs > 1) {
    274             TEST_CALLOC(X_raw, limbs - 1);
    275 
    276             x.p = X_raw;
    277             x.limbs = limbs - 1;
    278             TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    279                        mbedtls_mpi_mod_sub(&x, &a, &b, &m));
    280 
    281             mbedtls_free(X_raw);
    282             X_raw = NULL;
    283         }
    284 
    285         /* Negative testing with too many/too few limbs in a and b is covered by
    286          * manually-written test cases with expected_ret != 0. */
    287     }
    288 
    289     TEST_CALLOC(X_raw, limbs);
    290 
    291     TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&x, &m, X_raw, limbs));
    292 
    293     /* a - b => Correct result, or expected error */
    294     TEST_EQUAL(expected_ret, mbedtls_mpi_mod_sub(&x, &a, &b, &m));
    295     if (expected_ret != 0) {
    296         goto exit;
    297     }
    298 
    299     TEST_COMPARE_MPI_RESIDUES(x, d);
    300 
    301     /* a - b: alias x to a => Correct result */
    302     memcpy(x.p, a.p, bytes);
    303     TEST_EQUAL(0, mbedtls_mpi_mod_sub(&x, &x, &b, &m));
    304     TEST_COMPARE_MPI_RESIDUES(x, d);
    305 
    306     /* a - b: alias x to b => Correct result */
    307     memcpy(x.p, b.p, bytes);
    308     TEST_EQUAL(0, mbedtls_mpi_mod_sub(&x, &a, &x, &m));
    309     TEST_COMPARE_MPI_RESIDUES(x, d);
    310 
    311     if (memcmp(a.p, b.p, bytes) == 0) {
    312         /* a == b: alias a and b */
    313 
    314         /* a - a => Correct result */
    315         TEST_EQUAL(0, mbedtls_mpi_mod_sub(&x, &a, &a, &m));
    316         TEST_COMPARE_MPI_RESIDUES(x, d);
    317 
    318         /* a - a: x, a, b all aliased together => Correct result */
    319         memcpy(x.p, a.p, bytes);
    320         TEST_EQUAL(0, mbedtls_mpi_mod_sub(&x, &x, &x, &m));
    321         TEST_COMPARE_MPI_RESIDUES(x, d);
    322     }
    323 
    324 exit:
    325     mbedtls_free((void *) m.p);  /* mbedtls_mpi_mod_modulus_free() sets m.p = NULL */
    326     mbedtls_mpi_mod_modulus_free(&m);
    327 
    328     mbedtls_free(a.p);
    329     mbedtls_free(b.p);
    330     mbedtls_free(d.p);
    331     mbedtls_free(X_raw);
    332 }
    333 /* END_CASE */
    334 
    335 /* BEGIN_CASE */
    336 void mpi_mod_inv_mont(char *input_N,
    337                       char *input_A, char *input_I,
    338                       int expected_ret)
    339 {
    340     mbedtls_mpi_mod_residue a = { NULL, 0 };    /* argument */
    341     mbedtls_mpi_mod_residue i = { NULL, 0 };    /* expected inverse wrt N */
    342     mbedtls_mpi_mod_residue x = { NULL, 0 };    /* output */
    343     mbedtls_mpi_uint *X_raw = NULL;
    344 
    345     mbedtls_mpi_mod_modulus N;
    346     mbedtls_mpi_mod_modulus_init(&N);
    347 
    348     TEST_EQUAL(0,
    349                mbedtls_test_read_mpi_modulus(&N, input_N,
    350                                              MBEDTLS_MPI_MOD_REP_MONTGOMERY));
    351 
    352     /* test_read_residue() normally checks that inputs have the same number of
    353      * limbs as the modulus. For negative testing we can ask it to skip this
    354      * with a non-zero final parameter. */
    355     TEST_EQUAL(0, test_read_residue(&a, &N, input_A, expected_ret != 0));
    356     TEST_EQUAL(0, test_read_residue(&i, &N, input_I, expected_ret != 0));
    357 
    358     size_t limbs = N.limbs;
    359     size_t bytes = limbs * sizeof(*X_raw);
    360 
    361     TEST_CALLOC(X_raw, limbs);
    362 
    363     TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&x, &N, X_raw, limbs));
    364 
    365     TEST_EQUAL(expected_ret, mbedtls_mpi_mod_inv(&x, &a, &N));
    366     if (expected_ret == 0) {
    367         TEST_COMPARE_MPI_RESIDUES(x, i);
    368 
    369         /* a^-1: alias x to a => Correct result */
    370         memcpy(x.p, a.p, bytes);
    371         TEST_EQUAL(0, mbedtls_mpi_mod_inv(&x, &x, &N));
    372         TEST_COMPARE_MPI_RESIDUES(x, i);
    373     }
    374 
    375 exit:
    376     mbedtls_free((void *) N.p);  /* mbedtls_mpi_mod_modulus_free() sets N.p = NULL */
    377     mbedtls_mpi_mod_modulus_free(&N);
    378 
    379     mbedtls_free(a.p);
    380     mbedtls_free(i.p);
    381     mbedtls_free(X_raw);
    382 }
    383 /* END_CASE */
    384 
    385 /* BEGIN_CASE */
    386 void mpi_mod_inv_non_mont(char *input_N,
    387                           char *input_A, char *input_I,
    388                           int expected_ret)
    389 {
    390     mbedtls_mpi_mod_residue a = { NULL, 0 };    /* argument */
    391     mbedtls_mpi_mod_residue i = { NULL, 0 };    /* expected inverse wrt N */
    392     mbedtls_mpi_mod_residue x = { NULL, 0 };    /* output */
    393     mbedtls_mpi_uint *X_raw = NULL;
    394 
    395     mbedtls_mpi_mod_modulus N;
    396     mbedtls_mpi_mod_modulus_init(&N);
    397 
    398     TEST_EQUAL(0,
    399                mbedtls_test_read_mpi_modulus(&N, input_N,
    400                                              MBEDTLS_MPI_MOD_REP_OPT_RED));
    401 
    402     /* test_read_residue() normally checks that inputs have the same number of
    403      * limbs as the modulus. For negative testing we can ask it to skip this
    404      * with a non-zero final parameter. */
    405     TEST_EQUAL(0, test_read_residue(&a, &N, input_A, expected_ret != 0));
    406     TEST_EQUAL(0, test_read_residue(&i, &N, input_I, expected_ret != 0));
    407 
    408     size_t limbs = N.limbs;
    409     size_t bytes = limbs * sizeof(*X_raw);
    410 
    411     TEST_CALLOC(X_raw, limbs);
    412 
    413     TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&x, &N, X_raw, limbs));
    414 
    415     TEST_EQUAL(expected_ret, mbedtls_mpi_mod_inv(&x, &a, &N));
    416     if (expected_ret == 0) {
    417         TEST_COMPARE_MPI_RESIDUES(x, i);
    418 
    419         /* a^-1: alias x to a => Correct result */
    420         memcpy(x.p, a.p, bytes);
    421         TEST_EQUAL(0, mbedtls_mpi_mod_inv(&x, &x, &N));
    422         TEST_COMPARE_MPI_RESIDUES(x, i);
    423     }
    424 
    425 exit:
    426     mbedtls_free((void *) N.p);  /* mbedtls_mpi_mod_modulus_free() sets N.p = NULL */
    427     mbedtls_mpi_mod_modulus_free(&N);
    428 
    429     mbedtls_free(a.p);
    430     mbedtls_free(i.p);
    431     mbedtls_free(X_raw);
    432 }
    433 /* END_CASE */
    434 
    435 /* BEGIN_CASE */
    436 void mpi_mod_add(char *input_N,
    437                  char *input_A, char *input_B,
    438                  char *input_S, int expected_ret)
    439 {
    440     mbedtls_mpi_mod_residue a = { NULL, 0 };
    441     mbedtls_mpi_mod_residue b = { NULL, 0 };
    442     mbedtls_mpi_mod_residue s = { NULL, 0 };
    443     mbedtls_mpi_mod_residue x = { NULL, 0 };
    444     mbedtls_mpi_uint *X_raw = NULL;
    445 
    446     mbedtls_mpi_mod_modulus m;
    447     mbedtls_mpi_mod_modulus_init(&m);
    448 
    449     TEST_EQUAL(0,
    450                mbedtls_test_read_mpi_modulus(&m, input_N,
    451                                              MBEDTLS_MPI_MOD_REP_MONTGOMERY));
    452 
    453     /* test_read_residue() normally checks that inputs have the same number of
    454      * limbs as the modulus. For negative testing we can ask it to skip this
    455      * with a non-zero final parameter. */
    456     TEST_EQUAL(0, test_read_residue(&a, &m, input_A, expected_ret != 0));
    457     TEST_EQUAL(0, test_read_residue(&b, &m, input_B, expected_ret != 0));
    458     TEST_EQUAL(0, test_read_residue(&s, &m, input_S, expected_ret != 0));
    459 
    460     size_t limbs = m.limbs;
    461     size_t bytes = limbs * sizeof(*X_raw);
    462 
    463     if (expected_ret == 0) {
    464         /* Negative test with too many limbs in output */
    465         TEST_CALLOC(X_raw, limbs + 1);
    466 
    467         x.p = X_raw;
    468         x.limbs = limbs + 1;
    469         TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    470                    mbedtls_mpi_mod_add(&x, &a, &b, &m));
    471 
    472         mbedtls_free(X_raw);
    473         X_raw = NULL;
    474 
    475         /* Negative test with too few limbs in output */
    476         if (limbs > 1) {
    477             TEST_CALLOC(X_raw, limbs - 1);
    478 
    479             x.p = X_raw;
    480             x.limbs = limbs - 1;
    481             TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    482                        mbedtls_mpi_mod_add(&x, &a, &b, &m));
    483 
    484             mbedtls_free(X_raw);
    485             X_raw = NULL;
    486         }
    487 
    488         /* Negative testing with too many/too few limbs in a and b is covered by
    489          * manually-written test cases with oret != 0. */
    490     }
    491 
    492     /* Allocate correct number of limbs for X_raw */
    493     TEST_CALLOC(X_raw, limbs);
    494 
    495     TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&x, &m, X_raw, limbs));
    496 
    497     /* A + B => Correct result or expected error */
    498     TEST_EQUAL(expected_ret, mbedtls_mpi_mod_add(&x, &a, &b, &m));
    499     if (expected_ret != 0) {
    500         goto exit;
    501     }
    502 
    503     TEST_COMPARE_MPI_RESIDUES(x, s);
    504 
    505     /* a + b: alias x to a => Correct result */
    506     memcpy(x.p, a.p, bytes);
    507     TEST_EQUAL(0, mbedtls_mpi_mod_add(&x, &x, &b, &m));
    508     TEST_COMPARE_MPI_RESIDUES(x, s);
    509 
    510     /* a + b: alias x to b => Correct result */
    511     memcpy(x.p, b.p, bytes);
    512     TEST_EQUAL(0, mbedtls_mpi_mod_add(&x, &a, &x, &m));
    513     TEST_COMPARE_MPI_RESIDUES(x, s);
    514 
    515     if (memcmp(a.p, b.p, bytes) == 0) {
    516         /* a == b: alias a and b */
    517 
    518         /* a + a => Correct result */
    519         TEST_EQUAL(0, mbedtls_mpi_mod_add(&x, &a, &a, &m));
    520         TEST_COMPARE_MPI_RESIDUES(x, s);
    521 
    522         /* a + a: x, a, b all aliased together => Correct result */
    523         memcpy(x.p, a.p, bytes);
    524         TEST_EQUAL(0, mbedtls_mpi_mod_add(&x, &x, &x, &m));
    525         TEST_COMPARE_MPI_RESIDUES(x, s);
    526     }
    527 
    528 exit:
    529     mbedtls_free((void *) m.p);  /* mbedtls_mpi_mod_modulus_free() sets m.p = NULL */
    530     mbedtls_mpi_mod_modulus_free(&m);
    531 
    532     mbedtls_free(a.p);
    533     mbedtls_free(b.p);
    534     mbedtls_free(s.p);
    535     mbedtls_free(X_raw);
    536 }
    537 /* END_CASE */
    538 
    539 /* BEGIN_CASE */
    540 void mpi_residue_setup(char *input_N, char *input_R, int ret)
    541 {
    542     mbedtls_mpi_uint *N = NULL;
    543     mbedtls_mpi_uint *R = NULL;
    544     size_t n_limbs, r_limbs;
    545     mbedtls_mpi_mod_modulus m;
    546     mbedtls_mpi_mod_residue r;
    547 
    548     mbedtls_mpi_mod_modulus_init(&m);
    549 
    550     /* Allocate the memory for intermediate data structures */
    551     TEST_EQUAL(0, mbedtls_test_read_mpi_core(&N, &n_limbs, input_N));
    552     TEST_EQUAL(0, mbedtls_test_read_mpi_core(&R, &r_limbs, input_R));
    553 
    554     TEST_EQUAL(0, mbedtls_mpi_mod_modulus_setup(&m, N, n_limbs));
    555 
    556     TEST_EQUAL(ret, mbedtls_mpi_mod_residue_setup(&r, &m, R, r_limbs));
    557 
    558     if (ret == 0) {
    559         TEST_EQUAL(r.limbs, r_limbs);
    560         TEST_ASSERT(r.p == R);
    561     }
    562 
    563 exit:
    564     mbedtls_mpi_mod_modulus_free(&m);
    565     mbedtls_free(N);
    566     mbedtls_free(R);
    567 }
    568 /* END_CASE */
    569 
    570 /* BEGIN_CASE */
    571 void mpi_mod_io_neg(char *input_N, data_t *buf, int ret)
    572 {
    573     mbedtls_mpi_uint *N = NULL;
    574     mbedtls_mpi_uint *R = NULL;
    575 
    576     mbedtls_mpi_mod_modulus m;
    577     mbedtls_mpi_mod_residue r = { NULL, 0 };
    578     mbedtls_mpi_mod_ext_rep endian = MBEDTLS_MPI_MOD_EXT_REP_LE;
    579 
    580     mbedtls_mpi_mod_modulus_init(&m);
    581 
    582     size_t n_limbs;
    583     TEST_EQUAL(0, mbedtls_test_read_mpi_core(&N, &n_limbs, input_N));
    584     size_t r_limbs = n_limbs;
    585     TEST_CALLOC(R, r_limbs);
    586 
    587     /* modulus->p == NULL || residue->p == NULL ( m has not been set-up ) */
    588     TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    589                mbedtls_mpi_mod_read(&r, &m, buf->x, buf->len, endian));
    590 
    591     TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    592                mbedtls_mpi_mod_write(&r, &m, buf->x, buf->len, endian));
    593 
    594     /* Set up modulus and test with residue->p == NULL */
    595     TEST_EQUAL(0, mbedtls_mpi_mod_modulus_setup(&m, N, n_limbs));
    596 
    597     TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    598                mbedtls_mpi_mod_read(&r, &m, buf->x, buf->len, endian));
    599     TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    600                mbedtls_mpi_mod_write(&r, &m, buf->x, buf->len, endian));
    601 
    602     /* Do the rest of the tests with a residue set up with the input data */
    603     TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&r, &m, R, r_limbs));
    604 
    605     /* Fail for r_limbs < m->limbs */
    606     r.limbs--;
    607     TEST_ASSERT(r.limbs < m.limbs);
    608     TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    609                mbedtls_mpi_mod_read(&r, &m, buf->x, buf->len, endian));
    610     TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    611                mbedtls_mpi_mod_write(&r, &m, buf->x, buf->len, endian));
    612     r.limbs++;
    613 
    614     /* Fail for r_limbs > m->limbs */
    615     m.limbs--;
    616     TEST_ASSERT(r.limbs > m.limbs);
    617     TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    618                mbedtls_mpi_mod_read(&r, &m, buf->x, buf->len, endian));
    619     TEST_EQUAL(MBEDTLS_ERR_MPI_BAD_INPUT_DATA,
    620                mbedtls_mpi_mod_write(&r, &m, buf->x, buf->len, endian));
    621     m.limbs++;
    622 
    623     /* Test the read */
    624     TEST_EQUAL(ret, mbedtls_mpi_mod_read(&r, &m, buf->x, buf->len, endian));
    625 
    626     /* Test write overflow only when the representation is large and read is successful  */
    627     if (r.limbs > 1 && ret == 0) {
    628         TEST_EQUAL(MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL,
    629                    mbedtls_mpi_mod_write(&r, &m, buf->x, 1, endian));
    630     }
    631 
    632 exit:
    633     mbedtls_mpi_mod_residue_release(&r);
    634     mbedtls_mpi_mod_modulus_free(&m);
    635     mbedtls_free(N);
    636     mbedtls_free(R);
    637 }
    638 /* END_CASE */
    639 
    640 /* BEGIN_CASE */
    641 void mpi_mod_io(char *input_N, data_t *input_A, int endian)
    642 {
    643     mbedtls_mpi_uint *N = NULL;
    644     mbedtls_mpi_uint *R = NULL;
    645     mbedtls_mpi_uint *R_COPY = NULL;
    646     unsigned char *obuf = NULL;
    647     unsigned char *ref_buf = NULL;
    648     mbedtls_mpi_mod_modulus m;
    649     mbedtls_mpi_mod_residue r;
    650     mbedtls_mpi_mod_residue r_copy;
    651     size_t n_limbs, n_bytes, a_bytes;
    652 
    653     mbedtls_mpi_mod_modulus_init(&m);
    654 
    655     /* Read inputs */
    656     TEST_EQUAL(0, mbedtls_test_read_mpi_core(&N, &n_limbs, input_N));
    657     n_bytes = n_limbs * sizeof(mbedtls_mpi_uint);
    658     a_bytes = input_A->len;
    659 
    660     /* Allocate the memory for intermediate data structures */
    661     TEST_CALLOC(R, n_bytes);
    662     TEST_CALLOC(R_COPY, n_bytes);
    663 
    664     /* Test that input's size is not greater to modulo's */
    665     TEST_LE_U(a_bytes, n_bytes);
    666 
    667     /* Init Structures */
    668     TEST_EQUAL(0, mbedtls_mpi_mod_modulus_setup(&m, N, n_limbs));
    669 
    670     /* Enforcing p_limbs >= m->limbs */
    671     TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&r, &m, R, n_limbs));
    672 
    673     TEST_EQUAL(0, mbedtls_mpi_mod_read(&r, &m, input_A->x, input_A->len,
    674                                        endian));
    675 
    676     /* Read a copy for checking that writing didn't change the value of r */
    677     TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&r_copy, &m,
    678                                                 R_COPY, n_limbs));
    679     TEST_EQUAL(0, mbedtls_mpi_mod_read(&r_copy, &m, input_A->x, input_A->len,
    680                                        endian));
    681 
    682     /* Get number of bytes without leading zeroes */
    683     size_t a_bytes_trimmed = a_bytes;
    684     while (a_bytes_trimmed > 0) {
    685         unsigned char *r_byte_array = (unsigned char *) r.p;
    686         if (r_byte_array[--a_bytes_trimmed] != 0) {
    687             break;
    688         }
    689     }
    690     a_bytes_trimmed++;
    691 
    692     /* Test write with three output buffer sizes: tight, same as input and
    693      * longer than the input */
    694     size_t obuf_sizes[3];
    695     const size_t obuf_sizes_len = sizeof(obuf_sizes) / sizeof(obuf_sizes[0]);
    696     obuf_sizes[0] = a_bytes_trimmed;
    697     obuf_sizes[1] = a_bytes;
    698     obuf_sizes[2] = a_bytes + 8;
    699 
    700     for (size_t i = 0; i < obuf_sizes_len; i++) {
    701         TEST_CALLOC(obuf, obuf_sizes[i]);
    702         TEST_EQUAL(0, mbedtls_mpi_mod_write(&r, &m, obuf, obuf_sizes[i], endian));
    703 
    704         /* Make sure that writing didn't corrupt the value of r */
    705         TEST_MEMORY_COMPARE(r.p, r.limbs, r_copy.p, r_copy.limbs);
    706 
    707         /* Set up reference output for checking the result */
    708         TEST_CALLOC(ref_buf, obuf_sizes[i]);
    709         switch (endian) {
    710             case MBEDTLS_MPI_MOD_EXT_REP_LE:
    711                 memcpy(ref_buf, input_A->x, a_bytes_trimmed);
    712                 break;
    713             case MBEDTLS_MPI_MOD_EXT_REP_BE:
    714             {
    715                 size_t a_offset = input_A->len - a_bytes_trimmed;
    716                 size_t ref_offset = obuf_sizes[i] - a_bytes_trimmed;
    717                 memcpy(ref_buf + ref_offset, input_A->x + a_offset,
    718                        a_bytes_trimmed);
    719             }
    720             break;
    721             default:
    722                 TEST_ASSERT(0);
    723         }
    724 
    725         /* Check the result */
    726         TEST_MEMORY_COMPARE(obuf, obuf_sizes[i], ref_buf, obuf_sizes[i]);
    727 
    728         mbedtls_free(ref_buf);
    729         ref_buf = NULL;
    730         mbedtls_free(obuf);
    731         obuf = NULL;
    732     }
    733 
    734 exit:
    735     mbedtls_mpi_mod_modulus_free(&m);
    736     mbedtls_free(N);
    737     mbedtls_free(R);
    738     mbedtls_free(R_COPY);
    739     mbedtls_free(obuf);
    740     mbedtls_free(ref_buf);
    741 }
    742 /* END_CASE */