#include "system.h"
#include "mp32.h"
#include "mp32prime.h"
#include "mp32barrett.h"
#include "debug.h"
Go to the source code of this file.
Functions | |
void | mp32bzero (mp32barrett *b) |
mp32bzero. More... | |
void | mp32binit (mp32barrett *b, uint32 size) |
Allocates the data words for an mp32barrett structure. More... | |
void | mp32bfree (mp32barrett *b) |
mp32bfree. More... | |
void | mp32bcopy (mp32barrett *b, const mp32barrett *copy) |
void | mp32bset (mp32barrett *b, uint32 size, const uint32 *data) |
mp32bset. More... | |
void | mp32bsethex (mp32barrett *b, const char *hex) |
void | mp32bmu_w (mp32barrett *b, uint32 *wksp) |
Computes the Barrett 'mu' coefficient. More... | |
void | mp32brnd_w (const mp32barrett *b, randomGeneratorContext *rc, uint32 *result, uint32 *wksp) |
Generates a random number in the range 1 < r < b-1. More... | |
void | mp32brndodd_w (const mp32barrett *b, randomGeneratorContext *rc, uint32 *result, uint32 *wksp) |
Generates a random odd number in the range 1 < r < b-1. More... | |
void | mp32brndinv_w (const mp32barrett *b, randomGeneratorContext *rc, uint32 *result, uint32 *inverse, uint32 *wksp) |
Generates a random invertible (modulo b) in the range 1 < r < b-1. More... | |
void | mp32bmod_w (const mp32barrett *b, const uint32 *xdata, uint32 *result, uint32 *wksp) |
Computes the barrett modular reduction of a number x, which has twice the size of b. More... | |
void | mp32bsubone (const mp32barrett *b, uint32 *result) |
Copies (b-1) into result. More... | |
void | mp32bneg (const mp32barrett *b, const uint32 *xdata, uint32 *result) |
Computes the negative (modulo b) of x, where x must contain a value between 0 and b-1. More... | |
void | mp32baddmod_w (const mp32barrett *b, uint32 xsize, const uint32 *xdata, uint32 ysize, const uint32 *ydata, uint32 *result, uint32 *wksp) |
Computes the sum (modulo b) of x and y. More... | |
void | mp32bsubmod_w (const mp32barrett *b, uint32 xsize, const uint32 *xdata, uint32 ysize, const uint32 *ydata, uint32 *result, uint32 *wksp) |
Computes the difference (modulo b) of x and y. More... | |
void | mp32bmulmod_w (const mp32barrett *b, uint32 xsize, const uint32 *xdata, uint32 ysize, const uint32 *ydata, uint32 *result, uint32 *wksp) |
Computes the product (modulo b) of x and y. More... | |
void | mp32bsqrmod_w (const mp32barrett *b, uint32 xsize, const uint32 *xdata, uint32 *result, uint32 *wksp) |
Computes the square (modulo b) of x. More... | |
void | mp32bslide_w (const mp32barrett *b, const uint32 xsize, const uint32 *xdata, uint32 *slide, uint32 *wksp) |
Precomputes the sliding window table for computing powers of x modulo b. More... | |
void | mp32bpowmod_w (const mp32barrett *b, uint32 xsize, const uint32 *xdata, uint32 psize, const uint32 *pdata, uint32 *result, uint32 *wksp) |
mp32bpowmod_w needs workspace of 4*size+2 words. More... | |
void | mp32bpowmodsld_w (const mp32barrett *b, const uint32 *slide, uint32 psize, const uint32 *pdata, uint32 *result, uint32 *wksp) |
void | mp32btwopowmod_w (const mp32barrett *b, uint32 psize, const uint32 *pdata, uint32 *result, uint32 *wksp) |
mp32btwopowmod_w needs workspace of (4*size+2) words. More... | |
int | mp32binv_w (const mp32barrett *b, uint32 xsize, const uint32 *xdata, uint32 *result, uint32 *wksp) |
Computes the inverse (modulo b) of x, and returns 1 if x was invertible. More... | |
int | mp32bpprime_w (const mp32barrett *b, randomGeneratorContext *rc, int t, uint32 *wksp) |
needs workspace of (7*size+2) words. More... | |
void | mp32bnrnd (const mp32barrett *b, randomGeneratorContext *rc, mp32number *result) |
void | mp32bnmulmod (const mp32barrett *b, const mp32number *x, const mp32number *y, mp32number *result) |
void | mp32bnsqrmod (const mp32barrett *b, const mp32number *x, mp32number *result) |
void | mp32bnpowmod (const mp32barrett *b, const mp32number *x, const mp32number *pow, mp32number *y) |
void | mp32bnpowmodsld (const mp32barrett *b, const uint32 *slide, const mp32number *pow, mp32number *y) |
Variables | |
byte | mp32bslide_presq [16] |
byte | mp32bslide_mulg [16] |
byte | mp32bslide_postsq [16] |
int | _debug = 0 |
For more information on this algorithm, see: "Handbook of Applied Cryptography", Chapter 14.3.3 Menezes, van Oorschot, Vanstone CRC Press
Definition in file mp32barrett.c.
|
Computes the sum (modulo b) of x and y. needs a workspace of (4*size+2) words Definition at line 428 of file mp32barrett.c. References mp32addx, mp32bmod_w, mp32setx, mp32barrett::size, and uint32. |
|
Definition at line 85 of file mp32barrett.c. References mp32barrett::modl, mp32copy, mp32barrett::mu, mp32barrett::size, and uint32. |
|
mp32bfree.
Definition at line 72 of file mp32barrett.c. References mp32barrett::modl, mp32barrett::mu, mp32barrett::size, and uint32. |
|
Allocates the data words for an mp32barrett structure. will allocate 2*size+1 words Definition at line 55 of file mp32barrett.c. References mp32barrett::modl, mp32barrett::mu, mp32barrett::size, and uint32. |
|
Computes the inverse (modulo b) of x, and returns 1 if x was invertible.
Definition at line 940 of file mp32barrett.c. References _debug, mp32barrett::modl, mp32add, mp32divtwo, mp32even, mp32isone, mp32neg, mp32nz, mp32odd, mp32println, mp32sdivtwo, mp32setw, mp32setx, mp32sub, mp32subw, mp32zero, mp32barrett::size, and uint32. |
|
Computes the barrett modular reduction of a number x, which has twice the size of b. needs workspace of (2*size+2) words Definition at line 337 of file mp32barrett.c. References mp32barrett::modl, mp32addmul, mp32copy, mp32gex, mp32setmul, mp32setx, mp32sub, mp32subx, mp32barrett::mu, mp32barrett::size, and uint32. |
|
Computes the Barrett 'mu' coefficient. needs workspace of (6*size+4) words Definition at line 232 of file mp32barrett.c. References mp32barrett::modl, mp32copy, mp32ndivmod, mp32norm, mp32rshift, mp32zero, mp32barrett::mu, mp32barrett::size, and uint32. |
|
Computes the product (modulo b) of x and y. needs a workspace of (4*size+2) words Definition at line 461 of file mp32barrett.c. References mp32bmod_w, mp32mul, mp32zero, mp32barrett::size, and uint32. |
|
Computes the negative (modulo b) of x, where x must contain a value between 0 and b-1.
Definition at line 414 of file mp32barrett.c. References mp32barrett::modl, mp32add, mp32copy, mp32neg, mp32barrett::size, and uint32. |
|
Definition at line 1218 of file mp32barrett.c. References mp32number::data, mp32bmod_w, mp32mul, mp32nfree, mp32nsize, mp32zero, mp32number::size, mp32barrett::size, and uint32. |
|
Definition at line 1272 of file mp32barrett.c. References mp32number::data, mp32bpowmod_w, mp32nfree, mp32nsize, mp32number::size, mp32barrett::size, and uint32. |
|
Definition at line 1287 of file mp32barrett.c. References mp32number::data, mp32bpowmodsld_w, mp32nfree, mp32nsize, mp32number::size, mp32barrett::size, and uint32. |
|
Definition at line 1202 of file mp32barrett.c. References mp32number::data, mp32brnd_w, mp32nfree, mp32nsize, mp32barrett::size, and uint32. |
|
Definition at line 1245 of file mp32barrett.c. References mp32number::data, mp32bmod_w, mp32nfree, mp32nsize, mp32sqr, mp32zero, mp32number::size, mp32barrett::size, and uint32. |
|
mp32bpowmod_w needs workspace of 4*size+2 words.
Definition at line 566 of file mp32barrett.c. References mp32bpowmodsld_w, mp32bslide_w, mp32barrett::size, and uint32. |
|
Definition at line 606 of file mp32barrett.c. References mp32bmulmod_w, mp32bslide_mulg, mp32bslide_postsq, mp32bslide_presq, mp32bsqrmod_w, mp32setw, mp32barrett::size, uint32, and uint8. |
|
needs workspace of (7*size+2) words.
Definition at line 1151 of file mp32barrett.c. References mp32barrett::modl, mp32gcd_w, mp32isone, mp32odd, mp32pmilrab_w, mp32setx, mp32barrett::size, SMALL_PRIMES_PRODUCT_MAX, and uint32. |
|
Generates a random number in the range 1 < r < b-1. need workspace of (size) words Definition at line 259 of file mp32barrett.c. References mp32barrett::modl, mp32copy, mp32ge, mp32leone, mp32mszcnt, mp32sub, mp32subw, randomGenerator::next, randomGeneratorContext::param, randomGeneratorContext::rng, mp32barrett::size, and uint32. |
|
Generates a random invertible (modulo b) in the range 1 < r < b-1. needs workspace of (6*size+6) words Definition at line 318 of file mp32barrett.c. References mp32barrett::modl, mp32binv_w, mp32brnd_w, mp32brndodd_w, mp32even, mp32barrett::size, and uint32. |
|
Generates a random odd number in the range 1 < r < b-1. needs workspace of (size) words Definition at line 287 of file mp32barrett.c. References mp32barrett::modl, mp32copy, mp32ge, mp32leone, mp32mszcnt, mp32setlsb, mp32sub, mp32subw, randomGenerator::next, randomGeneratorContext::param, randomGeneratorContext::rng, mp32barrett::size, and uint32. |
|
mp32bset.
Definition at line 129 of file mp32barrett.c. References mp32barrett::modl, mp32bmu_w, mp32copy, mp32barrett::mu, mp32barrett::size, and uint32. |
|
Definition at line 166 of file mp32barrett.c. References mp32barrett::modl, mp32bmu_w, mp32barrett::mu, mp32barrett::size, uint32, and uint8. |
|
Precomputes the sliding window table for computing powers of x modulo b. needs workspace (4*size+2) Sliding Window Exponentiation technique, slightly altered from the method Applied Cryptography: First of all, the table with the powers of g can be reduced by about half; the even powers don't need to be accessed or stored. Get up to K bits starting with a one, if we have that many still available Do the number of squarings of A in the first column, the multiply by the value in column two, and finally do the number of squarings in column three. This table can be used for K=2,3,4 and can be extended
0 : - | - | - 1 : 1 | g1 @ 0 | 0 10 : 1 | g1 @ 0 | 1 11 : 2 | g3 @ 1 | 0 100 : 1 | g1 @ 0 | 2 101 : 3 | g5 @ 2 | 0 110 : 2 | g3 @ 1 | 1 111 : 3 | g7 @ 3 | 0 1000 : 1 | g1 @ 0 | 3 1001 : 4 | g9 @ 4 | 0 1010 : 3 | g5 @ 2 | 1 1011 : 4 | g11 @ 5 | 0 1100 : 2 | g3 @ 1 | 2 1101 : 4 | g13 @ 6 | 0 1110 : 3 | g7 @ 3 | 1 1111 : 4 | g15 @ 7 | 0 Definition at line 534 of file mp32barrett.c. References mp32bmulmod_w, mp32bsqrmod_w, mp32setx, and uint32. Referenced by mp32bpowmod_w. |
|
Computes the square (modulo b) of x. needs a workspace of (4*size+2) words Definition at line 481 of file mp32barrett.c. References mp32bmod_w, mp32sqr, mp32zero, mp32barrett::size, and uint32. |
|
Computes the difference (modulo b) of x and y. needs a workspace of (4*size+2) words Definition at line 444 of file mp32barrett.c. References mp32barrett::modl, mp32addx, mp32bmod_w, mp32setx, mp32subx, mp32barrett::size, and uint32. |
|
Copies (b-1) into result.
Definition at line 401 of file mp32barrett.c. References mp32barrett::modl, mp32copy, mp32subw, mp32barrett::size, and uint32. |
|
mp32btwopowmod_w needs workspace of (4*size+2) words.
Definition at line 711 of file mp32barrett.c. References mp32barrett::modl, mp32add, mp32bsqrmod_w, mp32ge, mp32setw, mp32sub, mp32barrett::size, and uint32. |
|
mp32bzero.
Definition at line 43 of file mp32barrett.c. References mp32barrett::modl, mp32barrett::mu, mp32barrett::size, and uint32. |
|
Definition at line 932 of file mp32barrett.c. Referenced by mp32binv_w. |
|
Initial value: { 0, 0, 0, 1, 0, 2, 1, 3, 0, 4, 2, 5, 1, 6, 3, 7 } Definition at line 554 of file mp32barrett.c. Referenced by mp32bpowmodsld_w. |
|
Initial value: { 0, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 } Definition at line 558 of file mp32barrett.c. Referenced by mp32bpowmodsld_w. |
|
Initial value: { 0, 1, 1, 2, 1, 3, 2, 3, 1, 4, 3, 4, 2, 4, 3, 4 } Definition at line 550 of file mp32barrett.c. Referenced by mp32bpowmodsld_w. |