136 lines
3.5 KiB
C
136 lines
3.5 KiB
C
#include "tommath_private.h"
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#ifdef BN_MP_PRIME_RANDOM_EX_C
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/* LibTomMath, multiple-precision integer library -- Tom St Denis
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*
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* LibTomMath is a library that provides multiple-precision
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* integer arithmetic as well as number theoretic functionality.
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*
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* The library was designed directly after the MPI library by
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* Michael Fromberger but has been written from scratch with
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* additional optimizations in place.
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*
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* SPDX-License-Identifier: Unlicense
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*/
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/* makes a truly random prime of a given size (bits),
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*
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* Flags are as follows:
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*
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* LTM_PRIME_BBS - make prime congruent to 3 mod 4
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* LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS)
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* LTM_PRIME_2MSB_ON - make the 2nd highest bit one
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*
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* You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
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* have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
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* so it can be NULL
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*
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*/
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/* This is possibly the mother of all prime generation functions, muahahahahaha! */
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int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat)
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{
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unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb;
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int res, err, bsize, maskOR_msb_offset;
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/* sanity check the input */
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if ((size <= 1) || (t <= 0)) {
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return MP_VAL;
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}
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/* LTM_PRIME_SAFE implies LTM_PRIME_BBS */
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if ((flags & LTM_PRIME_SAFE) != 0) {
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flags |= LTM_PRIME_BBS;
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}
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/* calc the byte size */
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bsize = (size>>3) + ((size&7)?1:0);
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/* we need a buffer of bsize bytes */
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tmp = OPT_CAST(unsigned char) XMALLOC((size_t)bsize);
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if (tmp == NULL) {
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return MP_MEM;
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}
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/* calc the maskAND value for the MSbyte*/
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maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7)));
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/* calc the maskOR_msb */
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maskOR_msb = 0;
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maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0;
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if ((flags & LTM_PRIME_2MSB_ON) != 0) {
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maskOR_msb |= 0x80 >> ((9 - size) & 7);
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}
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/* get the maskOR_lsb */
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maskOR_lsb = 1;
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if ((flags & LTM_PRIME_BBS) != 0) {
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maskOR_lsb |= 3;
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}
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do {
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/* read the bytes */
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if (cb(tmp, bsize, dat) != bsize) {
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err = MP_VAL;
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goto error;
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}
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/* work over the MSbyte */
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tmp[0] &= maskAND;
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tmp[0] |= 1 << ((size - 1) & 7);
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/* mix in the maskORs */
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tmp[maskOR_msb_offset] |= maskOR_msb;
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tmp[bsize-1] |= maskOR_lsb;
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/* read it in */
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if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) {
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goto error;
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}
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/* is it prime? */
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if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) {
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goto error;
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}
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if (res == MP_NO) {
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continue;
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}
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if ((flags & LTM_PRIME_SAFE) != 0) {
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/* see if (a-1)/2 is prime */
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if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) {
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goto error;
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}
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if ((err = mp_div_2(a, a)) != MP_OKAY) {
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goto error;
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}
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/* is it prime? */
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if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) {
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goto error;
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}
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}
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} while (res == MP_NO);
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if ((flags & LTM_PRIME_SAFE) != 0) {
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/* restore a to the original value */
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if ((err = mp_mul_2(a, a)) != MP_OKAY) {
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goto error;
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}
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if ((err = mp_add_d(a, 1uL, a)) != MP_OKAY) {
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goto error;
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}
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}
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err = MP_OKAY;
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error:
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XFREE(tmp);
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return err;
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}
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#endif
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/* ref: $Format:%D$ */
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/* git commit: $Format:%H$ */
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/* commit time: $Format:%ai$ */
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