Add m-esr52 at 52.6.0

1 files changed, 599 insertions, 0 deletions

diff --git a/security/nss/lib/freebl/mpi/mpprime.c b/security/nss/lib/freebl/mpi/mpprime.c
new file mode 100644
index 000000000..58287192e
--- /dev/null
+++ b/security/nss/lib/freebl/mpi/mpprime.c
@@ -0,0 +1,599 @@
+/*
+ *  mpprime.c
+ *
+ *  Utilities for finding and working with prime and pseudo-prime
+ *  integers
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
+
+#include "mpi-priv.h"
+#include "mpprime.h"
+#include "mplogic.h"
+#include <stdlib.h>
+#include <string.h>
+
+#define SMALL_TABLE 0 /* determines size of hard-wired prime table */
+
+#define RANDOM() rand()
+
+#include "primes.c" /* pull in the prime digit table */
+
+/*
+   Test if any of a given vector of digits divides a.  If not, MP_NO
+   is returned; otherwise, MP_YES is returned and 'which' is set to
+   the index of the integer in the vector which divided a.
+ */
+mp_err s_mpp_divp(mp_int *a, const mp_digit *vec, int size, int *which);
+
+/* {{{ mpp_divis(a, b) */
+
+/*
+  mpp_divis(a, b)
+
+  Returns MP_YES if a is divisible by b, or MP_NO if it is not.
+ */
+
+mp_err
+mpp_divis(mp_int *a, mp_int *b)
+{
+    mp_err res;
+    mp_int rem;
+
+    if ((res = mp_init(&rem)) != MP_OKAY)
+        return res;
+
+    if ((res = mp_mod(a, b, &rem)) != MP_OKAY)
+        goto CLEANUP;
+
+    if (mp_cmp_z(&rem) == 0)
+        res = MP_YES;
+    else
+        res = MP_NO;
+
+CLEANUP:
+    mp_clear(&rem);
+    return res;
+
+} /* end mpp_divis() */
+
+/* }}} */
+
+/* {{{ mpp_divis_d(a, d) */
+
+/*
+  mpp_divis_d(a, d)
+
+  Return MP_YES if a is divisible by d, or MP_NO if it is not.
+ */
+
+mp_err
+mpp_divis_d(mp_int *a, mp_digit d)
+{
+    mp_err res;
+    mp_digit rem;
+
+    ARGCHK(a != NULL, MP_BADARG);
+
+    if (d == 0)
+        return MP_NO;
+
+    if ((res = mp_mod_d(a, d, &rem)) != MP_OKAY)
+        return res;
+
+    if (rem == 0)
+        return MP_YES;
+    else
+        return MP_NO;
+
+} /* end mpp_divis_d() */
+
+/* }}} */
+
+/* {{{ mpp_random(a) */
+
+/*
+  mpp_random(a)
+
+  Assigns a random value to a.  This value is generated using the
+  standard C library's rand() function, so it should not be used for
+  cryptographic purposes, but it should be fine for primality testing,
+  since all we really care about there is good statistical properties.
+
+  As many digits as a currently has are filled with random digits.
+ */
+
+mp_err
+mpp_random(mp_int *a)
+
+{
+    mp_digit next = 0;
+    unsigned int ix, jx;
+
+    ARGCHK(a != NULL, MP_BADARG);
+
+    for (ix = 0; ix < USED(a); ix++) {
+        for (jx = 0; jx < sizeof(mp_digit); jx++) {
+            next = (next << CHAR_BIT) | (RANDOM() & UCHAR_MAX);
+        }
+        DIGIT(a, ix) = next;
+    }
+
+    return MP_OKAY;
+
+} /* end mpp_random() */
+
+/* }}} */
+
+/* {{{ mpp_random_size(a, prec) */
+
+mp_err
+mpp_random_size(mp_int *a, mp_size prec)
+{
+    mp_err res;
+
+    ARGCHK(a != NULL && prec > 0, MP_BADARG);
+
+    if ((res = s_mp_pad(a, prec)) != MP_OKAY)
+        return res;
+
+    return mpp_random(a);
+
+} /* end mpp_random_size() */
+
+/* }}} */
+
+/* {{{ mpp_divis_vector(a, vec, size, which) */
+
+/*
+  mpp_divis_vector(a, vec, size, which)
+
+  Determines if a is divisible by any of the 'size' digits in vec.
+  Returns MP_YES and sets 'which' to the index of the offending digit,
+  if it is; returns MP_NO if it is not.
+ */
+
+mp_err
+mpp_divis_vector(mp_int *a, const mp_digit *vec, int size, int *which)
+{
+    ARGCHK(a != NULL && vec != NULL && size > 0, MP_BADARG);
+
+    return s_mpp_divp(a, vec, size, which);
+
+} /* end mpp_divis_vector() */
+
+/* }}} */
+
+/* {{{ mpp_divis_primes(a, np) */
+
+/*
+  mpp_divis_primes(a, np)
+
+  Test whether a is divisible by any of the first 'np' primes.  If it
+  is, returns MP_YES and sets *np to the value of the digit that did
+  it.  If not, returns MP_NO.
+ */
+mp_err
+mpp_divis_primes(mp_int *a, mp_digit *np)
+{
+    int size, which;
+    mp_err res;
+
+    ARGCHK(a != NULL && np != NULL, MP_BADARG);
+
+    size = (int)*np;
+    if (size > prime_tab_size)
+        size = prime_tab_size;
+
+    res = mpp_divis_vector(a, prime_tab, size, &which);
+    if (res == MP_YES)
+        *np = prime_tab[which];
+
+    return res;
+
+} /* end mpp_divis_primes() */
+
+/* }}} */
+
+/* {{{ mpp_fermat(a, w) */
+
+/*
+  Using w as a witness, try pseudo-primality testing based on Fermat's
+  little theorem.  If a is prime, and (w, a) = 1, then w^a == w (mod
+  a).  So, we compute z = w^a (mod a) and compare z to w; if they are
+  equal, the test passes and we return MP_YES.  Otherwise, we return
+  MP_NO.
+ */
+mp_err
+mpp_fermat(mp_int *a, mp_digit w)
+{
+    mp_int base, test;
+    mp_err res;
+
+    if ((res = mp_init(&base)) != MP_OKAY)
+        return res;
+
+    mp_set(&base, w);
+
+    if ((res = mp_init(&test)) != MP_OKAY)
+        goto TEST;
+
+    /* Compute test = base^a (mod a) */
+    if ((res = mp_exptmod(&base, a, a, &test)) != MP_OKAY)
+        goto CLEANUP;
+
+    if (mp_cmp(&base, &test) == 0)
+        res = MP_YES;
+    else
+        res = MP_NO;
+
+CLEANUP:
+    mp_clear(&test);
+TEST:
+    mp_clear(&base);
+
+    return res;
+
+} /* end mpp_fermat() */
+
+/* }}} */
+
+/*
+  Perform the fermat test on each of the primes in a list until
+  a) one of them shows a is not prime, or
+  b) the list is exhausted.
+  Returns:  MP_YES if it passes tests.
+        MP_NO  if fermat test reveals it is composite
+        Some MP error code if some other error occurs.
+ */
+mp_err
+mpp_fermat_list(mp_int *a, const mp_digit *primes, mp_size nPrimes)
+{
+    mp_err rv = MP_YES;
+
+    while (nPrimes-- > 0 && rv == MP_YES) {
+        rv = mpp_fermat(a, *primes++);
+    }
+    return rv;
+}
+
+/* {{{ mpp_pprime(a, nt) */
+
+/*
+  mpp_pprime(a, nt)
+
+  Performs nt iteration of the Miller-Rabin probabilistic primality
+  test on a.  Returns MP_YES if the tests pass, MP_NO if one fails.
+  If MP_NO is returned, the number is definitely composite.  If MP_YES
+  is returned, it is probably prime (but that is not guaranteed).
+ */
+
+mp_err
+mpp_pprime(mp_int *a, int nt)
+{
+    mp_err res;
+    mp_int x, amo, m, z; /* "amo" = "a minus one" */
+    int iter;
+    unsigned int jx;
+    mp_size b;
+
+    ARGCHK(a != NULL, MP_BADARG);
+
+    MP_DIGITS(&x) = 0;
+    MP_DIGITS(&amo) = 0;
+    MP_DIGITS(&m) = 0;
+    MP_DIGITS(&z) = 0;
+
+    /* Initialize temporaries... */
+    MP_CHECKOK(mp_init(&amo));
+    /* Compute amo = a - 1 for what follows...    */
+    MP_CHECKOK(mp_sub_d(a, 1, &amo));
+
+    b = mp_trailing_zeros(&amo);
+    if (!b) { /* a was even ? */
+        res = MP_NO;
+        goto CLEANUP;
+    }
+
+    MP_CHECKOK(mp_init_size(&x, MP_USED(a)));
+    MP_CHECKOK(mp_init(&z));
+    MP_CHECKOK(mp_init(&m));
+    MP_CHECKOK(mp_div_2d(&amo, b, &m, 0));
+
+    /* Do the test nt times... */
+    for (iter = 0; iter < nt; iter++) {
+
+        /* Choose a random value for 1 < x < a      */
+        MP_CHECKOK(s_mp_pad(&x, USED(a)));
+        mpp_random(&x);
+        MP_CHECKOK(mp_mod(&x, a, &x));
+        if (mp_cmp_d(&x, 1) <= 0) {
+            iter--;   /* don't count this iteration */
+            continue; /* choose a new x */
+        }
+
+        /* Compute z = (x ** m) mod a               */
+        MP_CHECKOK(mp_exptmod(&x, &m, a, &z));
+
+        if (mp_cmp_d(&z, 1) == 0 || mp_cmp(&z, &amo) == 0) {
+            res = MP_YES;
+            continue;
+        }
+
+        res = MP_NO; /* just in case the following for loop never executes. */
+        for (jx = 1; jx < b; jx++) {
+            /* z = z^2 (mod a) */
+            MP_CHECKOK(mp_sqrmod(&z, a, &z));
+            res = MP_NO; /* previous line set res to MP_YES */
+
+            if (mp_cmp_d(&z, 1) == 0) {
+                break;
+            }
+            if (mp_cmp(&z, &amo) == 0) {
+                res = MP_YES;
+                break;
+            }
+        } /* end testing loop */
+
+        /* If the test passes, we will continue iterating, but a failed
+           test means the candidate is definitely NOT prime, so we will
+           immediately break out of this loop
+         */
+        if (res == MP_NO)
+            break;
+
+    } /* end iterations loop */
+
+CLEANUP:
+    mp_clear(&m);
+    mp_clear(&z);
+    mp_clear(&x);
+    mp_clear(&amo);
+    return res;
+
+} /* end mpp_pprime() */
+
+/* }}} */
+
+/* Produce table of composites from list of primes and trial value.
+** trial must be odd. List of primes must not include 2.
+** sieve should have dimension >= MAXPRIME/2, where MAXPRIME is largest
+** prime in list of primes.  After this function is finished,
+** if sieve[i] is non-zero, then (trial + 2*i) is composite.
+** Each prime used in the sieve costs one division of trial, and eliminates
+** one or more values from the search space. (3 eliminates 1/3 of the values
+** alone!)  Each value left in the search space costs 1 or more modular
+** exponentations.  So, these divisions are a bargain!
+*/
+mp_err
+mpp_sieve(mp_int *trial, const mp_digit *primes, mp_size nPrimes,
+          unsigned char *sieve, mp_size nSieve)
+{
+    mp_err res;
+    mp_digit rem;
+    mp_size ix;
+    unsigned long offset;
+
+    memset(sieve, 0, nSieve);
+
+    for (ix = 0; ix < nPrimes; ix++) {
+        mp_digit prime = primes[ix];
+        mp_size i;
+        if ((res = mp_mod_d(trial, prime, &rem)) != MP_OKAY)
+            return res;
+
+        if (rem == 0) {
+            offset = 0;
+        } else {
+            offset = prime - rem;
+        }
+
+        for (i = offset; i < nSieve * 2; i += prime) {
+            if (i % 2 == 0) {
+                sieve[i / 2] = 1;
+            }
+        }
+    }
+
+    return MP_OKAY;
+}
+
+#define SIEVE_SIZE 32 * 1024
+
+mp_err
+mpp_make_prime(mp_int *start, mp_size nBits, mp_size strong,
+               unsigned long *nTries)
+{
+    mp_digit np;
+    mp_err res;
+    unsigned int i = 0;
+    mp_int trial;
+    mp_int q;
+    mp_size num_tests;
+    unsigned char *sieve;
+
+    ARGCHK(start != 0, MP_BADARG);
+    ARGCHK(nBits > 16, MP_RANGE);
+
+    sieve = malloc(SIEVE_SIZE);
+    ARGCHK(sieve != NULL, MP_MEM);
+
+    MP_DIGITS(&trial) = 0;
+    MP_DIGITS(&q) = 0;
+    MP_CHECKOK(mp_init(&trial));
+    MP_CHECKOK(mp_init(&q));
+    /* values originally taken from table 4.4,
+   * HandBook of Applied Cryptography, augmented by FIPS-186
+   * requirements, Table C.2 and C.3 */
+    if (nBits >= 2000) {
+        num_tests = 3;
+    } else if (nBits >= 1536) {
+        num_tests = 4;
+    } else if (nBits >= 1024) {
+        num_tests = 5;
+    } else if (nBits >= 550) {
+        num_tests = 6;
+    } else if (nBits >= 450) {
+        num_tests = 7;
+    } else if (nBits >= 400) {
+        num_tests = 8;
+    } else if (nBits >= 350) {
+        num_tests = 9;
+    } else if (nBits >= 300) {
+        num_tests = 10;
+    } else if (nBits >= 250) {
+        num_tests = 20;
+    } else if (nBits >= 200) {
+        num_tests = 41;
+    } else if (nBits >= 100) {
+        num_tests = 38; /* funny anomaly in the FIPS tables, for aux primes, the
+                         * required more iterations for larger aux primes */
+    } else
+        num_tests = 50;
+
+    if (strong)
+        --nBits;
+    MP_CHECKOK(mpl_set_bit(start, nBits - 1, 1));
+    MP_CHECKOK(mpl_set_bit(start, 0, 1));
+    for (i = mpl_significant_bits(start) - 1; i >= nBits; --i) {
+        MP_CHECKOK(mpl_set_bit(start, i, 0));
+    }
+    /* start sieveing with prime value of 3. */
+    MP_CHECKOK(mpp_sieve(start, prime_tab + 1, prime_tab_size - 1,
+                         sieve, SIEVE_SIZE));
+
+#ifdef DEBUG_SIEVE
+    res = 0;
+    for (i = 0; i < SIEVE_SIZE; ++i) {
+        if (!sieve[i])
+            ++res;
+    }
+    fprintf(stderr, "sieve found %d potential primes.\n", res);
+#define FPUTC(x, y) fputc(x, y)
+#else
+#define FPUTC(x, y)
+#endif
+
+    res = MP_NO;
+    for (i = 0; i < SIEVE_SIZE; ++i) {
+        if (sieve[i]) /* this number is composite */
+            continue;
+        MP_CHECKOK(mp_add_d(start, 2 * i, &trial));
+        FPUTC('.', stderr);
+        /* run a Fermat test */
+        res = mpp_fermat(&trial, 2);
+        if (res != MP_OKAY) {
+            if (res == MP_NO)
+                continue; /* was composite */
+            goto CLEANUP;
+        }
+
+        FPUTC('+', stderr);
+        /* If that passed, run some Miller-Rabin tests  */
+        res = mpp_pprime(&trial, num_tests);
+        if (res != MP_OKAY) {
+            if (res == MP_NO)
+                continue; /* was composite */
+            goto CLEANUP;
+        }
+        FPUTC('!', stderr);
+
+        if (!strong)
+            break; /* success !! */
+
+        /* At this point, we have strong evidence that our candidate
+           is itself prime.  If we want a strong prime, we need now
+           to test q = 2p + 1 for primality...
+        */
+        MP_CHECKOK(mp_mul_2(&trial, &q));
+        MP_CHECKOK(mp_add_d(&q, 1, &q));
+
+        /* Test q for small prime divisors ... */
+        np = prime_tab_size;
+        res = mpp_divis_primes(&q, &np);
+        if (res == MP_YES) { /* is composite */
+            mp_clear(&q);
+            continue;
+        }
+        if (res != MP_NO)
+            goto CLEANUP;
+
+        /* And test with Fermat, as with its parent ... */
+        res = mpp_fermat(&q, 2);
+        if (res != MP_YES) {
+            mp_clear(&q);
+            if (res == MP_NO)
+                continue; /* was composite */
+            goto CLEANUP;
+        }
+
+        /* And test with Miller-Rabin, as with its parent ... */
+        res = mpp_pprime(&q, num_tests);
+        if (res != MP_YES) {
+            mp_clear(&q);
+            if (res == MP_NO)
+                continue; /* was composite */
+            goto CLEANUP;
+        }
+
+        /* If it passed, we've got a winner */
+        mp_exch(&q, &trial);
+        mp_clear(&q);
+        break;
+
+    } /* end of loop through sieved values */
+    if (res == MP_YES)
+        mp_exch(&trial, start);
+CLEANUP:
+    mp_clear(&trial);
+    mp_clear(&q);
+    if (nTries)
+        *nTries += i;
+    if (sieve != NULL) {
+        memset(sieve, 0, SIEVE_SIZE);
+        free(sieve);
+    }
+    return res;
+}
+
+/*========================================================================*/
+/*------------------------------------------------------------------------*/
+/* Static functions visible only to the library internally                */
+
+/* {{{ s_mpp_divp(a, vec, size, which) */
+
+/*
+   Test for divisibility by members of a vector of digits.  Returns
+   MP_NO if a is not divisible by any of them; returns MP_YES and sets
+   'which' to the index of the offender, if it is.  Will stop on the
+   first digit against which a is divisible.
+ */
+
+mp_err
+s_mpp_divp(mp_int *a, const mp_digit *vec, int size, int *which)
+{
+    mp_err res;
+    mp_digit rem;
+
+    int ix;
+
+    for (ix = 0; ix < size; ix++) {
+        if ((res = mp_mod_d(a, vec[ix], &rem)) != MP_OKAY)
+            return res;
+
+        if (rem == 0) {
+            if (which)
+                *which = ix;
+            return MP_YES;
+        }
+    }
+
+    return MP_NO;
+
+} /* end s_mpp_divp() */
+
+/* }}} */
+
+/*------------------------------------------------------------------------*/
+/* HERE THERE BE DRAGONS                                                  */