first publication of bigint2-dev

This commit is contained in:
bg nerilex 2014-06-29 22:00:17 +02:00
parent 55113fbb49
commit cda2e9d578
6 changed files with 3021 additions and 0 deletions

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/*
* bigint2.c
*
* Created on: 09.04.2014
* Author: bg
*/
#include <bigint2.h>
#include <bigint2_io.h>
#include <stdio.h>
#include <string.h>
#define CHECKS 1
#define E_PARAM -1;
#define E_OOM -2;
#define E_VALUE -3;
#define MAX(a,b) ((a) > (b) ? (a) : (b))
#define MIN(a,b) ((a) < (b) ? (a) : (b))
void *(*int_realloc)(void *ptr, size_t size);
void (*int_free)(void *ptr);
/**
* \brief used to check if bigint is large enough
* Checks if the memory of a is large enough to hold min_size
* words, and if this is not the case tries to increase the allocated memory
* amount (conserving the memory content).
* If the allocated memory insufficient and the buffer could not be enlarged
* E_OOM is returned, otherwise 0 is returned.
*/
static
int check_size(bigint_t *a, bigint_length_t min_size) {
bigint_word_t *tmp;
if (a->allocated_W >= min_size) {
return 0;
}
tmp = int_realloc(a->wordv, min_size * sizeof(bigint_word_t));
if (!tmp) {
return E_OOM;
}
a->wordv = tmp;
a->allocated_W = min_size;
return 0;
}
int bigint_copy(bigint_t *dest, const bigint_t *a) {
int r;
if (dest == a) {
return 0;
}
r = check_size(dest, a->length_W);
if (r) {
return r;
}
dest->info = a->info;
dest->length_W = a->length_W;
memcpy(dest->wordv, a->wordv, a->length_W * sizeof(bigint_word_t));
return 0;
}
int bigint_free(bigint_t *a) {
if(a->allocated_W) {
int_free(a->wordv);
}
memset(a, 0, sizeof(bigint_t));
return 0;
}
/**
* \brief dest = |a| + |b|
* Adds the bigints a and b and stores the result in dest.
* Signs are ignored.
*/
int bigint_add_u(bigint_t *dest, const bigint_t *a, const bigint_t *b) {
bigint_word_t t, c1, c2, c = 0;
bigint_length_t i, j;
int r;
#if CHECKS
if (!dest || !a || !b) {
return E_PARAM;
}
#endif
#if CHECKS
if ((r = check_size(dest, a->length_W))) {
return r;
}
#endif
j = MIN(a->length_W, b->length_W);
for (i = 0; i < j; ++i) {
t = a->wordv[i] + b->wordv[i];
c1 = t < a->wordv[i];
dest->wordv[i] = t + c;
c2 = dest->wordv[i] < t;
c = c1 | c2;
}
for (; i < a->length_W; ++i) {
t = a->wordv[i];
dest->wordv[i] = t + c;
c = dest->wordv[i] < t;
}
dest->length_W = i;
return 0;
}
/** UNSAFE!!!
* \brief dest = |a| + |b|
* Adds the bigints a and b and stores the result in dest.
* Signs are ignored.
*/
int bigint_add_auto_u(bigint_t *dest, const bigint_t *a, const bigint_t *b) {
bigint_word_t t, c1, c2, c = 0;
bigint_length_t i, j;
int r;
#if CHECKS
if (!dest || !a || !b) {
return E_PARAM;
}
#endif
if (a->length_W < b->length_W) {
const bigint_t *t;
t = a;
a = b;
b = t;
}
#if CHECKS
if ((r = check_size(dest, a->length_W + 1))) {
return r;
}
#endif
j = MIN(a->length_W, b->length_W);
for (i = 0; i < j; ++i) {
t = a->wordv[i] + b->wordv[i];
c1 = t < a->wordv[i];
dest->wordv[i] = t + c;
c2 = dest->wordv[i] < t;
c = c1 | c2;
}
for (; i < a->length_W; ++i) {
t = a->wordv[i];
dest->wordv[i] = t + c;
c = dest->wordv[i] < t;
}
if (c) {
dest->wordv[i++] = c;
}
dest->length_W = i;
return 0;
}
/**
* \brief dest = ~a
*/
int bigint_invert(bigint_t *dest, const bigint_t *a) {
bigint_length_t i;
int r;
#if CHECKS
if ((r = check_size(dest, a->length_W))) {
return r;
}
#endif
i = a->length_W;
while(i--) {
dest->wordv[i] = ~a->wordv[i];
}
dest->length_W = a->length_W;
return 0;
}
/**
* \brief dest = a + 1
*/
int bigint_add_one(bigint_t *dest, const bigint_t *a) {
bigint_t one = {
.wordv = (bigint_word_t*)"\x01",
.length_W = 1,
.allocated_W = 1,
.info = 0
};
return bigint_add_u(dest, a, &one);
}
/**
* \brief dest = -a
*/
int bigint_negate(bigint_t *dest, const bigint_t *a) {
int r = 0;
#if CHECKS
if ((r = check_size(dest, a->length_W))) {
return r;
}
#endif
r |= bigint_invert(dest, a);
r |= bigint_add_one(dest, dest);
return r;
}
/**
* \brief dest = |a| - |b|
* Subtracts b from a and stores the result in dest.
* Signs are ignored
*/
int bigint_sub_u(bigint_t *dest, const bigint_t *a, const bigint_t *b) {
bigint_length_t i, j;
bigint_word_t t, c1, c2, c = 0;
int r;
#if CHECKS
if (!dest || !a || !b) {
return E_PARAM;
}
#endif
#if CHECKS
if ((r = check_size(dest, MAX(a->length_W, b->length_W)))) {
return r;
}
#endif
j = MIN(a->length_W, b->length_W);
for (i = 0; i < j; ++i) {
t = a->wordv[i] - b->wordv[i];
c1 = t > a->wordv[i];
dest->wordv[i] = t - c;
c2 = dest->wordv[i] > t;
c = c1 | c2;
}
for (; i < a->length_W; ++i) {
t = a->wordv[i];
dest->wordv[i] = t - c;
c = dest->wordv[i] > t;
}
dest->length_W = a->length_W;
return 0;
}
/**
* \brief a <<= 1
*/
int bigint_shiftleft_words(bigint_t *dest, const bigint_t *a, bigint_length_t s) {
#if CHECKS
if (!a) {
return E_PARAM;
}
#endif
if (s == 0) {
bigint_copy(dest, a);
return 0;
}
int r;
if ((r = check_size(dest, a->length_W + s))) {
return r;
}
memmove(&dest->wordv[s], &a->wordv[0], a->length_W * sizeof(bigint_word_t));
memset(&dest->wordv[0], 0, s * sizeof(bigint_word_t));
dest->length_W = a->length_W + s;
return 0;
}
/**
* \brief a <<= 1
*/
int bigint_shiftleft_1bit(bigint_t *a) {
uint8_t c1 = 0, c2;
bigint_word_t t;
bigint_length_t i;
#if CHECKS
if (!a) {
return E_PARAM;
}
#endif
for(i = 0; i < a->length_W; ++i) {
t = a->wordv[i];
c2 = t >> (BIGINT_WORD_SIZE - 1);
t <<= 1;
t |= c1;
a->wordv[i] = t;
c1 = c2;
}
return 0;
}
/**
* \brief a <<= s
*/
static
int bigint_shiftleft_small(bigint_t *dest, const bigint_t *a, uint_fast8_t s) {
bigint_wordplus_t t = 0;
bigint_length_t i, l;
#if CHECKS
if (!a) {
return E_PARAM;
}
#endif
l = bigint_get_first_set_bit(a) + BIGINT_WORD_SIZE;
#if CHECKS
int r;
if ((r = check_size(dest, (l + s ) / BIGINT_WORD_SIZE))) {
return r;
}
#endif
dest->length_W = (l + s ) / BIGINT_WORD_SIZE;
l /= BIGINT_WORD_SIZE;
for(i = 0; i < l; ++i) {
t |= (bigint_wordplus_t)a->wordv[i] << s;
dest->wordv[i] = t;
t >>= BIGINT_WORD_SIZE;
}
if (t) {
dest->wordv[i] = t;
}
return 0;
}
/**
* \brief dest = a << s
*/
int bigint_shiftleft(bigint_t *dest, const bigint_t *a, bigint_length_t s) {
int r;
if((r = bigint_shiftleft_small(dest, a, s % BIGINT_WORD_SIZE))) {
return r;
}
if ((r = bigint_shiftleft_words(dest, dest, s / BIGINT_WORD_SIZE))) {
return r;
}
return 0;
}
/**
* \brief a >>= 1
*/
int bigint_shiftright_1bit(bigint_t *a) {
uint8_t c1 = 0, c2;
bigint_word_t t;
bigint_length_t i;
#if CHECKS
if (!a) {
return E_PARAM;
}
#endif
for(i = a->length_W; i != 0; --i) {
t = a->wordv[i - 1];
c2 = t & 1;
t >>= 1;
t |= c1 << (BIGINT_WORD_SIZE - 1);
a->wordv[i - 1] = t;
c1 = c2;
}
return 0;
}
/**
* \brief dest = a ** 2
*/
int bigint_square(bigint_t *dest, const bigint_t *a) {
bigint_word_t c1, c2;
bigint_wordplus_t uv;
bigint_word_t q;
bigint_length_t i, j;
#if CHECKS
int r;
if (!dest || !a) {
return E_PARAM;
}
if ((r = check_size(dest, a->length_W * 2))) {
return r;
}
#endif
if (dest == a) {
bigint_t t = {NULL, 0, 0, 0};
bigint_copy(&t, a);
r = bigint_square(dest, &t);
bigint_free(&t);
return r;
}
memset(dest->wordv, 0, 2 * a->length_W * sizeof(bigint_word_t));
for(i = 0; i < a->length_W; ++i) {
uv = (bigint_wordplus_t)dest->wordv[2 * i]
+ (bigint_wordplus_t)a->wordv[i]
* (bigint_wordplus_t)a->wordv[i];
dest->wordv[2 * i] = uv;
c1 = uv >> BIGINT_WORD_SIZE;
c2 = 0;
for (j = i + 1; j < a->length_W; ++j) {
uv = (bigint_wordplus_t)a->wordv[i]
* (bigint_wordplus_t)a->wordv[j];
q = uv >> (2 * BIGINT_WORD_SIZE - 1);
uv <<= 1;
uv += dest->wordv[i + j];
q += (uv < dest->wordv[i + j]); /* this might be dangerous! XXX */
uv += c1;
q += (uv < c1); /* this might be dangerous! XXX */
dest->wordv[i + j] = uv;
c1 = c2 + (uv >> BIGINT_WORD_SIZE);
c2 = q + (c1 < c2); /* this might be dangerous! XXX */
}
dest->wordv[i + a->length_W] += c1;
dest->wordv[i + a->length_W + 1] = c2 + (dest->wordv[i + a->length_W] < c1); /* this might be dangerous! XXX */
}
dest->length_W = a->length_W * 2;
return 0;
}
/**
* \brief dest = |a * b|
* unsigned multiply a bigint (a) by a word (b)
*/
int bigint_mul_word(bigint_t *dest, const bigint_t *a, const bigint_word_t b) {
bigint_wordplus_t c1 = 0;
bigint_length_t i;
#if CHECKS
int r;
if (!dest || !a || !b) {
return E_PARAM;
}
if ((r = check_size(dest, a->length_W + 1))) {
return r;
}
#endif
for(i = 0; i < a->length_W; ++i) {
c1 += (bigint_wordplus_t)b * (bigint_wordplus_t)a->wordv[i];
dest->wordv[i] = c1;
c1 >>= BIGINT_WORD_SIZE;
}
dest->wordv[i++] = c1;
dest->length_W = i;
BIGINT_SET_POS(dest);
return 0;
}
/**
* \brief dest = a * b
*/
int bigint_mul_schoolbook(bigint_t *dest, const bigint_t *a, const bigint_t *b) {
bigint_wordplus_t v;
bigint_word_t c;
bigint_length_t i, j;
int r;
#if CHECKS
if (!dest || !a || !b) {
return E_PARAM;
}
if ((r = check_size(dest, a->length_W + b->length_W))) {
return r;
}
#endif
if (dest == a) {
bigint_t t = {NULL, 0, 0, 0};
bigint_copy(&t, a);
r = bigint_mul_schoolbook(dest, &t, b);
bigint_free(&t);
return r;
}
if (dest == b) {
bigint_t t = {NULL, 0, 0, 0};
bigint_copy(&t, b);
r = bigint_mul_schoolbook(dest, a, &t);
bigint_free(&t);
return r;
}
memset(dest->wordv, 0, (a->length_W + b->length_W) * sizeof(bigint_word_t));
for(i = 0; i < b->length_W; ++i) {
c = 0;
for(j = 0; j < a->length_W; ++j) {
v = (bigint_wordplus_t)a->wordv[j]
* (bigint_wordplus_t)b->wordv[i];
v += (bigint_wordplus_t)dest->wordv[i + j];
v += (bigint_wordplus_t)c;
dest->wordv[i + j] = v;
c = v >> BIGINT_WORD_SIZE;
}
dest->wordv[i + j] = c;
}
dest->length_W = a->length_W + b->length_W;
dest->info &= ~BIGINT_SIGN_MASK;
dest->info |= (a->info ^ b->info) & BIGINT_SIGN_MASK;
return 0;
}
/*
* UNSAFE!!!
*/
int8_t bigint_cmp_u(const bigint_t *a, const bigint_t *b) {
int8_t r = 1;
bigint_length_t i;
if (a->length_W == 0 && b->length_W == 0) {
return 0;
}
if (b->length_W == 0) {
return 1;
}
if (a->length_W == 0) {
return -1;
}
if (a->length_W < b->length_W) {
const bigint_t *t;
t = a;
a = b;
b = t;
r = -1;
}
for (i = a->length_W - 1; i > b->length_W - 1; --i) {
if (a->wordv[i]) {
return r;
}
}
++i;
do {
--i;
if (a->wordv[i] != b->wordv[i]) {
return a->wordv[i] > b->wordv[i] ? r : -r;
}
} while (i);
return 0;
}
int8_t bigint_cmp_s(const bigint_t *a, const bigint_t *b) {
if ( bigint_get_first_set_bit(a) == (bigint_length_t)-1 &&
bigint_get_first_set_bit(b) == (bigint_length_t)-1 ) {
return 0;
}
if ((a->info & BIGINT_SIGN_MASK) ^ (b->info & BIGINT_SIGN_MASK)) {
return (a->info & BIGINT_SIGN_MASK) ? -1 : 1;
} else {
int r;
r = bigint_cmp_u(a, b);
return (a->info & BIGINT_SIGN_MASK) ? -r : r;
}
return 0;
}
/*
* UNSAFE!!!
* a <=> b * (B ** s)
*/
int8_t bigint_cmp_scale(const bigint_t *a, const bigint_t *b, bigint_length_t s) {
bigint_length_t i;
if (s == 0) {
return bigint_cmp_u(a, b);
}
if (a->length_W == 0 && b->length_W == 0) {
return 0;
}
if (b->length_W == 0) {
return 1;
}
if (a->length_W == 0) {
return -1;
}
if (s > a->length_W) {
return -1;
}
for (i = a->length_W - 1; i > b->length_W + s - 1; --i) {
if (a->wordv[i]) {
return 1;
}
}
for (; i > s - 1; --i) {
if (a->wordv[i] != b->wordv[i + s]){
return a->wordv[i] > b->wordv[i + s] ? 1 : -1;
}
}
++i;
do {
--i;
if (a->wordv[i]) {
return 1;
}
} while (i);
return 0;
}
/**
* XXXXXXXXXXXX
* \brief dest = |a| - |b| * B ** s
* Subtracts b from a and stores the result in dest.
* Signs are ignored
*/
int bigint_sub_scale(bigint_t *dest, const bigint_t *a, const bigint_t *b, bigint_length_t s) {
bigint_length_t i, j;
bigint_word_t t, c1, c2, c = 0;
int r;
#if CHECKS
if (!dest || !a || !b) {
return E_PARAM;
}
#endif
#if CHECKS
if ((r = check_size(dest, MAX(a->length_W, b->length_W)))) {
return r;
}
#endif
j = MIN(a->length_W, b->length_W);
for (i = 0; i < j; ++i) {
t = a->wordv[i + s] - b->wordv[i];
c1 = t > a->wordv[i + s];
dest->wordv[i + s] = t - c;
c2 = dest->wordv[i + s] > t;
c = c1 | c2;
}
for (; i < a->length_W; ++i) {
t = a->wordv[i + s];
dest->wordv[i + s] = t - c;
c = dest->wordv[i + s] > t;
}
dest->length_W = a->length_W;
return 0;
}
/*
* UNSAFE!!!
*/
int bigint_adjust_length(bigint_t *a) {
#if CHECKS
if (!a) {
return E_PARAM;
}
#endif
while (a->length_W) {
if (a->wordv[a->length_W - 1]) {
return 0;
}
a->length_W--;
}
return 0;
}
bigint_length_t bigint_get_first_set_bit(const bigint_t *a) {
bigint_length_t r;
bigint_word_t t;
if (!a) {
return (bigint_length_t)-1;
}
if (a->length_W == 0) {
return (bigint_length_t)-1;
}
r = a->length_W - 1;
while (r && a->wordv[r] == 0) {
--r;
}
t = a->wordv[r];
if (!t) {
return (bigint_length_t)-1;
}
r *= BIGINT_WORD_SIZE;
t >>= 1;
while (t) {
t >>= 1;
++r;
}
return r;
}
/*
* UNSAFE!!!
* a = q * b + r
*/
int bigint_divide(bigint_t *q, bigint_t *r, const bigint_t *a, const bigint_t *b) {
bigint_t a_ = {NULL, 0, 0, 0}, x_ = {NULL, 0, 0, 0};
bigint_length_t i, la, lb;
int ret;
#if CHECKS
if (!a || !b || (!q && !r)) {
return E_PARAM;
}
#endif
la = bigint_get_first_set_bit(a);
lb = bigint_get_first_set_bit(b);
if (lb == (bigint_length_t)-1) {
return E_VALUE;
}
if (la == (bigint_length_t)-1) {
if (q) {
q->length_W = 0;
}
if (r) {
r->length_W = 0;
}
return 0;
}
if (la < lb) {
if (q) {
q->length_W = 0;
}
if (r) {
bigint_copy(r, a);
}
return 0;
}
i = la - lb;
if (q) {
if ((ret = check_size(q, (i + BIGINT_WORD_SIZE - 1) / BIGINT_WORD_SIZE))) {
return ret;
}
memset(q->wordv, 0, q->allocated_W * sizeof(bigint_word_t));
}
if (r) {
if ((ret = check_size(q, (lb + BIGINT_WORD_SIZE - 1) / BIGINT_WORD_SIZE))) {
return ret;
}
}
if ((ret = bigint_copy(&a_, a))) {
return ret;
}
if ((ret = bigint_shiftleft(&x_, b, i))) {
bigint_free(&a_);
return ret;
}
#if 0
printf("DBG: x' = ");
bigint_print_hex(&x_);
printf("; b = ");
bigint_print_hex(b);
printf("; la = %d; lb = %d; i = %d\n", la, lb, i);
#endif
do {
if (bigint_cmp_u(&a_, &x_) >= 0) {
bigint_sub_u(&a_, &a_, &x_);
if (q) {
q->wordv[i / BIGINT_WORD_SIZE] |= 1 << (i % BIGINT_WORD_SIZE);
}
}
bigint_shiftright_1bit(&x_);
} while (i--);
if (r) {
bigint_copy(r, &a_);
}
bigint_free(&x_);
bigint_free(&a_);
return 0;
}
/**
* UNSAFE!!!
*/
int bigint_sub_s(bigint_t *dest, const bigint_t *a, const bigint_t *b) {
int8_t s;
int r;
if (a->length_W == 0) {
bigint_copy(dest, b);
dest->info ^= BIGINT_SIGN_MASK;
return 0;
}
if ((a->info ^ b->info) & BIGINT_SIGN_MASK) {
/* different signs */
if ((r = bigint_add_auto_u(dest, a, b))) {
return r;
}
dest->info = a->info;
} else {
s = bigint_cmp_u(a, b);
if (s >= 0) {
if (( r = bigint_sub_u(dest, a, b))) {
return r;
}
dest->info = a->info;
} else {
if (( r = bigint_sub_u(dest, b, a))) {
return r;
}
dest->info = (~a->info) & BIGINT_SIGN_MASK;
}
}
return 0;
}
/**
* UNSAFE!!!
*/
int bigint_add_s(bigint_t *dest, const bigint_t *a, const bigint_t *b) {
int8_t s;
int r;
if ((a->info ^ b->info) & BIGINT_SIGN_MASK) {
/* different signs */
s = bigint_cmp_u(a, b);
if (s >= 0) {
if (( r = bigint_sub_u(dest, a, b))) {
return r;
}
dest->info = a->info;
} else {
if (( r = bigint_sub_u(dest, b, a))) {
return r;
}
dest->info = (~a->info) & BIGINT_SIGN_MASK;
}
} else {
if ((r = bigint_add_auto_u(dest, a, b))) {
return r;
}
dest->info = a->info;
}
return 0;
}
int8_t bigint_is_even(const bigint_t *a) {
if (!a) {
return E_VALUE;
}
if (a->length_W == 0 || (a->wordv[0] & 1) == 0) {
return 1;
}
return 0;
}
int8_t bigint_is_odd(const bigint_t *a) {
if (!a) {
return E_VALUE;
}
if (a->length_W > 0 && (a->wordv[0] & 1) == 1) {
return 1;
}
return 0;
}
/**
* UNSAFE!!!
* (a, b) -> (x, y, v)
* v = gcd(a,b)
* x * a + y * b = v
*/
int bigint_gcdext(bigint_t *gcd, bigint_t *x, bigint_t *y, const bigint_t *a, const bigint_t *b) {
bigint_length_t g = 0;
bigint_t u = {NULL, 0, 0, 0}, v = {NULL, 0, 0, 0};
bigint_t x_ = {NULL, 0, 0, 0}, y_ = {NULL, 0, 0, 0};
bigint_t A = {NULL, 0, 0, 0}, B = {NULL, 0, 0, 0};
bigint_t C = {NULL, 0, 0, 0}, D = {NULL, 0, 0, 0};
int r;
if ((r = bigint_copy(&x_, a))) {
return r;
}
if ((r = bigint_copy(&y_, b))) {
bigint_free(&x_);
return r;
}
bigint_adjust_length(&x_);
bigint_adjust_length(&y_);
if (x_.length_W == 0 || y_.length_W == 0) {
bigint_free(&y_);
bigint_free(&x_);
return E_VALUE;
}
while (((x_.wordv[0] | y_.wordv[0]) & 1) == 0) {
++g;
bigint_shiftright_1bit(&x_);
bigint_shiftright_1bit(&y_);
}
if ((r = check_size(&A, 1 + (bigint_get_first_set_bit(&y_) + BIGINT_WORD_SIZE) / BIGINT_WORD_SIZE))) {
bigint_free(&y_);
bigint_free(&x_);
return r;
}
if ((r = check_size(&C, 1 + (bigint_get_first_set_bit(&y_) + BIGINT_WORD_SIZE) / BIGINT_WORD_SIZE))) {
bigint_free(&A);
bigint_free(&y_);
bigint_free(&x_);
return r;
}
if ((r = check_size(&B, 1 + (bigint_get_first_set_bit(&x_) + BIGINT_WORD_SIZE) / BIGINT_WORD_SIZE))) {
bigint_free(&C);
bigint_free(&A);
bigint_free(&y_);
bigint_free(&x_);
return r;
}
if ((r = check_size(&D, 1 + (bigint_get_first_set_bit(&x_) + BIGINT_WORD_SIZE) / BIGINT_WORD_SIZE))) {
bigint_free(&B);
bigint_free(&C);
bigint_free(&A);
bigint_free(&y_);
bigint_free(&x_);
return r;
}
if ((r = bigint_copy(&u, &x_))) {
bigint_free(&D);
bigint_free(&B);
bigint_free(&C);
bigint_free(&A);
bigint_free(&y_);
bigint_free(&x_);
return r;
}
if ((r = bigint_copy(&v, &y_))) {
bigint_free(&u);
bigint_free(&D);
bigint_free(&B);
bigint_free(&C);
bigint_free(&A);
bigint_free(&y_);
bigint_free(&x_);
return r;
}
A.wordv[0] = D.wordv[0] = 1;
A.length_W = D.length_W = 1;
C.length_W = B.length_W = 0;
do {
while ((u.wordv[0] & 1) == 0) {
bigint_shiftright_1bit(&u);
if (bigint_is_odd(&A) || bigint_is_odd(&B)) {
bigint_add_s(&A, &A, &y_);
bigint_sub_s(&B, &B, &x_);
}
bigint_shiftright_1bit(&A);
bigint_shiftright_1bit(&B);
}
while ((v.wordv[0] & 1) == 0) {
bigint_shiftright_1bit(&v);
if (bigint_is_odd(&C) || bigint_is_odd(&D)) {
bigint_add_s(&C, &C, &y_);
bigint_sub_s(&D, &D, &x_);
}
bigint_shiftright_1bit(&C);
bigint_shiftright_1bit(&D);
}
if (bigint_cmp_s(&u, &v) >= 0) {
bigint_sub_s(&u, &u, &v);
bigint_sub_s(&A, &A, &C);
bigint_sub_s(&B, &B, &D);
} else {
bigint_sub_s(&v, &v, &u);
bigint_sub_s(&C, &C, &A);
bigint_sub_s(&D, &D, &B);
}
bigint_adjust_length(&u);
} while (u.length_W != 0);
if (gcd) {
bigint_shiftleft(gcd, &v, g);
}
if (x) {
bigint_copy(x, &C);
}
if (y) {
bigint_copy(y, &D);
}
bigint_free(&v);
bigint_free(&u);
bigint_free(&D);
bigint_free(&B);
bigint_free(&C);
bigint_free(&A);
bigint_free(&y_);
bigint_free(&x_);
return 0;
}

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/* bigint2.h */
/*
This file is part of the AVR-Crypto-Lib.
Copyright (C) 2014 Daniel Otte (daniel.otte@rub.de)
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef BIGINT2_H_
#define BIGINT2_H_
#include <stdint.h>
#include <limits.h>
#include <stdlib.h>
#define BIGINT_WORD_SIZE 8
#if BIGINT_WORD_SIZE == 8
typedef uint8_t bigint_word_t;
typedef uint16_t bigint_wordplus_t;
typedef int16_t bigint_wordplus_signed_t;
#elif BIGINT_WORD_SIZE == 16
typedef uint16_t bigint_word_t;
typedef uint32_t bigint_wordplus_t;
typedef int32_t bigint_wordplus_signed_t;
#elif BIGINT_WORD_SIZE == 32
typedef uint32_t bigint_word_t;
typedef uint64_t bigint_wordplus_t;
typedef int64_t bigint_wordplus_signed_t;
#else
#error "INVALID VALUE FOR BIGINT_WORD_SIZE"
#endif
typedef uint16_t bigint_length_t;
typedef uint8_t bigint_info_t;
#define BIGINT_SIGN_MASK 0x80
#define BIGINT_GET_SIGN(x) ((x)->info & BIGINT_SIGN_MASK)
#define BIGINT_SET_POS(x) ((x)->info &= ~BIGINT_SIGN_MASK)
#define BIGINT_SET_NEG(x) ((x)->info |= BIGINT_SIGN_MASK)
typedef struct {
bigint_word_t *wordv;
bigint_length_t length_W;
bigint_length_t allocated_W;
bigint_info_t info;
} bigint_t;
extern void *(*int_realloc)(void *ptr, size_t size);
extern void (*int_free)(void *ptr);
int bigint_copy(bigint_t *dest, const bigint_t *a);
int bigint_free(bigint_t *a);
/**
* \brief dest = |a| + |b|
* Adds the bigints a and b and stores the result in dest.
* Signs are ignored.
*/
int bigint_add_u(bigint_t *dest, const bigint_t *a, const bigint_t *b);
/**
* \brief dest = |a| - |b|
* Subtracts b from a and stores the result in dest.
* Signs are ignored
*/
int bigint_sub_u(bigint_t *dest, const bigint_t *a, const bigint_t *b);
/**
* \brief a <<= 1
*/
int bigint_shiftleft_1bit(bigint_t *a);
/**
* \brief dest = a << s
*/
int bigint_shiftleft(bigint_t *dest, const bigint_t *a, bigint_length_t s);
/**
* \brief a >>= 1
*/
int bigint_shiftright_1bit(bigint_t *a);
/**
* \brief dest = a ** 2
*/
int bigint_square(bigint_t *dest, const bigint_t *a);
/**
* \brief dest = |a * b|
* unsigned multiply a bigint (a) by a word (b)
*/
int bigint_mul_word(bigint_t *dest, const bigint_t *a, const bigint_word_t b);
/**
* \brief dest = a * b
*/
int bigint_mul_schoolbook(bigint_t *dest, const bigint_t *a, const bigint_t *b);
/*
* UNSAFE!!!
* a <=> b
*/
int8_t bigint_cmp_u(const bigint_t *a, const bigint_t *b);
/*
* UNSAFE!!!
* a <=> b * (B ** s)
*/
int8_t bigint_cmp_scale(const bigint_t *a, const bigint_t *b, bigint_length_t s);
/*
* UNSAFE!!!
*/
int bigint_adjust_length(bigint_t *a);
bigint_length_t bigint_get_first_set_bit(const bigint_t *a);
int bigint_divide(bigint_t *q, bigint_t *r, const bigint_t *a, const bigint_t *b);
int8_t bigint_cmp_s(const bigint_t *a, const bigint_t *b);
int bigint_gcdext(bigint_t *gcd, bigint_t *x, bigint_t *y, const bigint_t *a, const bigint_t *b);
#endif /* BIGINT2_H_ */

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/* bigint_io.c */
/*
This file is part of the ARM-Crypto-Lib.
Copyright (C) 2010 Daniel Otte (daniel.otte@rub.de)
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#include "cli.h"
#include "hexdigit_tab.h"
#include "bigint2.h"
#include <stdlib.h>
#include <string.h>
#include <stdio.h>
void bigint_print_hex(const bigint_t *a) {
if (a->length_W == 0) {
putchar('0');
return;
}
if (a->info & BIGINT_SIGN_MASK) {
putchar('-');
}
size_t idx;
uint8_t print_zero = 0;
uint8_t *p, x, y;
p = (uint8_t*)&(a->wordv[a->length_W - 1]) + sizeof(bigint_word_t) - 1;
for (idx = a->length_W * sizeof(bigint_word_t); idx > 0; --idx) {
x = *p >> 4;
y = *p & 0xf;
if (x != 0 || print_zero != 0) {
putchar(pgm_read_byte(&hexdigit_tab_lc_P[x]));
}
if (x) {
print_zero = 1;
}
if (y != 0 || print_zero != 0) {
putchar(pgm_read_byte(&hexdigit_tab_lc_P[y]));
}
if (y) {
print_zero = 1;
}
--p;
}
if (!print_zero) {
putchar(pgm_read_byte(&hexdigit_tab_lc_P[0]));
}
}
#define BLOCKSIZE 32
static uint8_t char2nibble(char c) {
if (c >= '0' && c <= '9') {
return c - '0';
}
c |= 'A' ^ 'a'; /* to lower case */
if ( c >= 'a' && c <= 'f') {
return c - 'a' + 10;
}
return 0xff;
}
static uint16_t read_byte(void) {
uint8_t t1, t2;
char c;
c = cli_getc_cecho();
if (c == '-') {
return 0x0500;
}
t1 = char2nibble(c);
if (t1 == 0xff) {
return 0x0100;
}
c = cli_getc_cecho();
t2 = char2nibble(c);
if (t2 == 0xff) {
return 0x0200|t1;
}
return (t1 << 4)|t2;
}
uint8_t bigint_read_hex_echo(bigint_t *a, bigint_length_t length) {
uint8_t shift4 = 0;
uint16_t t, idx = 0;
uint8_t *buf = NULL;
memset(a, 0, sizeof(*a));
if (length && a->allocated_W < length) {
uint8_t *p;
p = int_realloc(buf, length * sizeof(bigint_word_t));
if (p == NULL) {
cli_putstr("\r\nERROR: Out of memory!");
return 0xff;
}
memset((uint8_t*)p, 0, length * sizeof(bigint_word_t));
buf = p;
a->allocated_W = length;
}
for (;;) {
if (a->allocated_W - idx < 1) {
uint8_t *p;
if (length) {
if (buf) {
int_realloc(buf, 0);
}
return 0xfe;
}
p = int_realloc(buf, (a->allocated_W += BLOCKSIZE) * sizeof(bigint_word_t));
if (p == NULL) {
cli_putstr("\r\nERROR: Out of memory!");
if (buf) {
int_realloc(buf, 0);
}
return 0xff;
}
memset((uint8_t*)p + (a->allocated_W - BLOCKSIZE) * sizeof(bigint_word_t), 0, BLOCKSIZE * sizeof(bigint_word_t));
buf = p;
}
t = read_byte();
if (idx == 0) {
if (t & 0x0400) {
/* got minus */
a->info |= BIGINT_SIGN_MASK;
continue;
} else {
if (t == 0x0100) {
free(a->wordv);
memset(a, 0, sizeof(*a));
return 1;
}
}
}
if (t <= 0x00ff) {
buf[idx++] = (uint8_t)t;
} else {
if (t & 0x0200) {
shift4 = 1;
buf[idx++] = (uint8_t)((t & 0x0f) << 4);
}
break;
}
}
/* we have to reverse the byte array */
uint8_t tmp;
uint8_t *p, *q;
a->length_W = (idx + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
p = buf;
q = buf + idx - 1;
while (q > p) {
tmp = *p;
*p = *q;
*q = tmp;
p++; q--;
}
a->wordv = (bigint_word_t*)buf;
if (shift4) {
bigint_shiftright_1bit(a);
bigint_shiftright_1bit(a);
bigint_shiftright_1bit(a);
bigint_shiftright_1bit(a);
}
if(a->length_W == 1 && a->wordv[0] == 0){
a->length_W = 0;
a->info = 0;
}
if (length) {
a->length_W = length;
}
return 0;
}

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/* bigint_io.h */
/*
This file is part of the ARM-Crypto-Lib.
Copyright (C) 2010 Daniel Otte (daniel.otte@rub.de)
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef BIGINT_IO_H_
#define BIGINT_IO_H_
#include "bigint2.h"
void bigint_print_hex(const bigint_t *a);
uint8_t bigint_read_hex_echo(bigint_t *a, bigint_length_t length);
#endif /* BIGINT_IO_H_ */

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/* main-bigint-test.c */
/*
This file is part of the AVR-Crypto-Lib.
Copyright (C) 2008, 2009, 2010 Daniel Otte (daniel.otte@rub.de)
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
/*
* bigint test-suit
*
*/
#include "main-test-common.h"
#include "noekeon.h"
#include "noekeon_prng.h"
#include "bigint2.h"
#include "bigint2_io.h"
#include "performance_test.h"
char *algo_name = "BigInt2";
#define MAX(a,b) ((a) > (b) ? (a) : (b))
#define MIN(a,b) ((a) < (b) ? (a) : (b))
/*****************************************************************************
* additional validation-functions *
*****************************************************************************/
void test_echo_bigint(void) {
bigint_t a;
cli_putstr_P(PSTR("\r\necho test\r\n"));
for (;;) {
cli_putstr_P(PSTR("\r\nenter hex number:"));
if (bigint_read_hex_echo(&a, 0)) {
cli_putstr_P(PSTR("\r\n end echo test"));
return;
}
cli_putstr_P(PSTR("\r\necho: "));
bigint_print_hex(&a);
cli_putstr_P(PSTR("\r\n"));
free(a.wordv);
}
}
void test_add_bigint(void){
bigint_t a, b, c;
printf_P(PSTR("\nadd test\n"));
for (;;) {
printf_P(PSTR("\nenter a:"));
if (bigint_read_hex_echo(&a, 512)) {
printf_P(PSTR("\n end add test"));
return;
}
printf_P(PSTR("\nenter b:"));
if (bigint_read_hex_echo(&b, 512)) {
free(a.wordv);
printf_P(PSTR("\n end add test"));
return;
}
printf_P(PSTR("\n "));
bigint_print_hex(&a);
printf_P(PSTR(" + "));
bigint_print_hex(&b);
printf_P(PSTR(" = "));
memset(&c, 0, sizeof(c));
bigint_add_u(&c, &a, &b);
bigint_print_hex(&c);
cli_putstr_P(PSTR("\r\n"));
free(a.wordv);
free(b.wordv);
bigint_free(&c);
}
}
void test_sub_bigint(void){
bigint_t a, b, c;
printf_P(PSTR("\nadd test\n"));
for (;;) {
printf_P(PSTR("\nenter a:"));
if (bigint_read_hex_echo(&a, 512)) {
printf_P(PSTR("\n end add test"));
return;
}
printf_P(PSTR("\nenter b:"));
if (bigint_read_hex_echo(&b, 512)) {
free(a.wordv);
printf_P(PSTR("\n end add test"));
return;
}
printf_P(PSTR("\n "));
bigint_print_hex(&a);
printf_P(PSTR(" - "));
bigint_print_hex(&b);
printf_P(PSTR(" = "));
memset(&c, 0, sizeof(c));
bigint_sub_u(&c, &a, &b);
bigint_print_hex(&c);
cli_putstr_P(PSTR("\r\n"));
free(a.wordv);
free(b.wordv);
bigint_free(&c);
}
}
#if 0
void test_add_scale_bigint(void){
bigint_t a, b, c;
uint16_t scale;
cli_putstr_P(PSTR("\r\nadd-scale test\r\n"));
for (;;) {
cli_putstr_P(PSTR("\r\nenter a:"));
if (bigint_read_hex_echo(&a)) {
cli_putstr_P(PSTR("\r\n end add-scale test"));
return;
}
cli_putstr_P(PSTR("\r\nenter b:"));
if (bigint_read_hex_echo(&b)) {
cli_putstr_P(PSTR("\r\n end add-scale test"));
return;
}
cli_putstr_P(PSTR("\r\nenter scale:"));
{
char str[8];
cli_getsn_cecho(str, 7);
scale = atoi(str);
}
/*
if(bigint_read_hex_echo(&scale)){
free(scale.wordv);
cli_putstr_P(PSTR("\r\n end add test"));
return;
}
*/
bigint_word_t *c_b;
c_b = malloc((MAX(a.length_W, b.length_W+scale) + 2) * sizeof(bigint_word_t));
if(c_b==NULL){
cli_putstr_P(PSTR("\n\rERROR: Out of memory!"));
free(a.wordv);
free(b.wordv);
continue;
}
c.wordv = c_b;
bigint_copy(&c, &a);
bigint_add_scale_u(&c, &b, scale);
cli_putstr_P(PSTR("\r\n "));
bigint_print_hex(&a);
cli_putstr_P(PSTR(" + "));
bigint_print_hex(&b);
cli_putstr_P(PSTR("<<8*"));
cli_hexdump_rev(&scale, 2);
cli_putstr_P(PSTR(" = "));
bigint_print_hex(&c);
cli_putstr_P(PSTR("\r\n"));
free(a.wordv);
free(b.wordv);
free(c_b);
}
}
#endif
void test_mul_bigint(void){
bigint_t a, b, c;
cli_putstr_P(PSTR("\r\nmul test\r\n"));
for (;;) {
cli_putstr_P(PSTR("\r\nenter a:"));
if (bigint_read_hex_echo(&a, 0)) {
cli_putstr_P(PSTR("\r\n end mul test"));
return;
}
cli_putstr_P(PSTR("\r\nenter b:"));
if (bigint_read_hex_echo(&b, 0)) {
free(a.wordv);
cli_putstr_P(PSTR("\r\n end mul test"));
return;
}
cli_putstr_P(PSTR("\r\n "));
bigint_print_hex(&a);
cli_putstr_P(PSTR(" * "));
bigint_print_hex(&b);
cli_putstr_P(PSTR(" = "));
bigint_word_t *c_b;
c_b = malloc((MAX(a.length_W, b.length_W) + 1) * 2 * sizeof(bigint_word_t));
if (c_b==NULL) {
cli_putstr_P(PSTR("\n\rERROR: Out of memory!"));
free(a.wordv);
free(b.wordv);
continue;
}
c.wordv = c_b;
bigint_mul_schoolbook(&c, &a, &b);
bigint_print_hex(&c);
cli_putstr_P(PSTR("\r\n"));
free(a.wordv);
free(b.wordv);
free(c_b);
}
}
#if 0
void test_mul_mont_bigint(void){
bigint_t a, b, c, a_, b_, m_, res;
bigint_length_t s;
cli_putstr_P(PSTR("\r\nmul-mont test ( (a * b) % c )\r\n"));
for (;;) {
cli_putstr_P(PSTR("\r\nenter a:"));
if (bigint_read_hex_echo(&a)) {
cli_putstr_P(PSTR("\r\n end mul test"));
return;
}
cli_putstr_P(PSTR("\r\nenter b:"));
if (bigint_read_hex_echo(&b)) {
free(a.wordv);
cli_putstr_P(PSTR("\r\n end mul test"));
return;
}
cli_putstr_P(PSTR("\r\nenter c:"));
if (bigint_read_hex_echo(&c)) {
free(a.wordv);
free(b.wordv);
cli_putstr_P(PSTR("\r\n end mul test"));
return;
}
s = c.length_W;
cli_putstr_P(PSTR("\r\n ("));
bigint_print_hex(&a);
cli_putstr_P(PSTR(" * "));
bigint_print_hex(&b);
cli_putstr_P(PSTR(") % "));
bigint_print_hex(&c);
cli_putstr_P(PSTR(" = "));
bigint_word_t res_w[s], a_w_[s], b_w_[s], m_w_[s + 1];
res.wordv = res_w;
a_.wordv = a_w_;
b_.wordv = b_w_;
m_.wordv = m_w_;
bigint_mont_gen_m_(&m_, &c);
bigint_mont_trans(&a_, &a, &c);
bigint_mont_trans(&b_, &b, &c);
bigint_mont_mul(&res, &a_, &b_, &c, &m_);
bigint_mont_red(&res, &res, &c, &m_);
bigint_print_hex(&res);
putchar('\n');
free(a.wordv);
free(b.wordv);
free(c.wordv);
}
}
#endif
void test_mul_word_bigint(void){
bigint_t a, b;
bigint_word_t *t;
cli_putstr_P(PSTR("\r\nmul test\r\n"));
for (;;) {
cli_putstr_P(PSTR("\r\nenter a:"));
if (bigint_read_hex_echo(&a, 0)) {
cli_putstr_P(PSTR("\r\n end mul test"));
return;
}
cli_putstr_P(PSTR("\r\nenter b:"));
if (bigint_read_hex_echo(&b, 0)) {
free(a.wordv);
cli_putstr_P(PSTR("\r\n end mul test"));
return;
}
cli_putstr_P(PSTR("\r\n "));
bigint_print_hex(&a);
cli_putstr_P(PSTR(" * "));
bigint_print_hex(&b);
cli_putstr_P(PSTR(" = "));
if (b.length_W > 1) {
free(a.wordv);
free(b.wordv);
cli_putstr_P(PSTR("\r\n end mul test"));
}
t = realloc(a.wordv, (a.length_W + 3) * sizeof(bigint_word_t));
if (t == NULL) {
cli_putstr_P(PSTR("\n\rERROR: Out of memory!"));
free(a.wordv);
free(b.wordv);
continue;
}
a.wordv = t;
bigint_mul_word(&a, &a, b.wordv[0]);
bigint_print_hex(&a);
cli_putstr_P(PSTR("\r\n"));
free(a.wordv);
free(b.wordv);
}
}
void test_square_bigint(void){
bigint_t a, c;
cli_putstr_P(PSTR("\r\nsquare test\r\n"));
for(;;){
cli_putstr_P(PSTR("\r\nenter a:"));
if(bigint_read_hex_echo(&a, 0)){
cli_putstr_P(PSTR("\r\n end square test"));
return;
}
cli_putstr_P(PSTR("\r\n "));
bigint_print_hex(&a);
cli_putstr_P(PSTR("**2 = "));
bigint_word_t *c_b;
c_b = malloc(a.length_W * 2 * sizeof(bigint_word_t));
if(c_b == NULL){
cli_putstr_P(PSTR("\n\rERROR: Out of memory!"));
free(a.wordv);
continue;
}
c.wordv = c_b;
bigint_square(&c, &a);
bigint_print_hex(&c);
cli_putstr_P(PSTR("\r\n"));
free(a.wordv);
free(c_b);
}
}
void test_reduce_bigint(void){
bigint_t a, b, c;
cli_putstr_P(PSTR("\r\nreduce test\r\n"));
for (;;) {
cli_putstr_P(PSTR("\r\nenter a:"));
if (bigint_read_hex_echo(&a, 0)) {
cli_putstr_P(PSTR("\r\n end reduce test"));
return;
}
cli_putstr_P(PSTR("\r\nenter b:"));
if (bigint_read_hex_echo(&b, 0)) {
free(a.wordv);
cli_putstr_P(PSTR("\r\n end reduce test"));
return;
}
cli_putstr_P(PSTR("\r\n "));
bigint_print_hex(&a);
cli_putstr_P(PSTR(" % "));
bigint_print_hex(&b);
cli_putstr_P(PSTR(" = "));
memset(&c, 0, sizeof(c));
bigint_divide(NULL, &c, &a, &b);
bigint_print_hex(&c);
cli_putstr_P(PSTR("\r\n"));
bigint_free(&c);
bigint_free(&b);
bigint_free(&a);
}
}
#if 0
/* d = a**b % c */
void test_expmod_bigint(void){
bigint_t a, b, c, d;
bigint_word_t *d_b;
cli_putstr_P(PSTR("\r\nexpnonentiation-modulo test\r\n"));
for (;;) {
cli_putstr_P(PSTR("\r\nenter a:"));
if (bigint_read_hex_echo(&a)) {
cli_putstr_P(PSTR("\r\n end expmod test"));
return;
}
cli_putstr_P(PSTR("\r\nenter b:"));
if (bigint_read_hex_echo(&b)) {
free(a.wordv);
cli_putstr_P(PSTR("\r\n end expmod test"));
return;
}
cli_putstr_P(PSTR("\r\nenter c:"));
if (bigint_read_hex_echo(&c)) {
free(a.wordv);
free(b.wordv);
cli_putstr_P(PSTR("\r\n end expmod test"));
return;
}
d_b = malloc(c.length_W * sizeof(bigint_word_t));
if(d_b==NULL){
cli_putstr_P(PSTR("\n\rERROR: Out of memory!"));
free(a.wordv);
free(b.wordv);
free(c.wordv);
continue;
}
d.wordv = d_b;
cli_putstr_P(PSTR("\r\n "));
bigint_print_hex(&a);
cli_putstr_P(PSTR("**"));
bigint_print_hex(&b);
cli_putstr_P(PSTR(" % "));
bigint_print_hex(&c);
cli_putstr_P(PSTR(" = "));
bigint_expmod_u_sam(&d, &a, &b, &c);
bigint_print_hex(&d);
cli_putstr_P(PSTR("\r\n"));
free(a.wordv);
free(b.wordv);
free(c.wordv);
free(d.wordv);
}
}
/* d = a**b % c */
void test_expmod_mont_bigint(void){
bigint_t a, b, c, d;
bigint_word_t *d_b;
cli_putstr_P(PSTR("\r\nexpnonentiation-modulo-montgomory test\r\n"));
for (;;) {
cli_putstr_P(PSTR("\r\nenter a:"));
if (bigint_read_hex_echo(&a)) {
cli_putstr_P(PSTR("\r\n end expmod test"));
return;
}
cli_putstr_P(PSTR("\r\nenter b:"));
if (bigint_read_hex_echo(&b)) {
free(a.wordv);
cli_putstr_P(PSTR("\r\n end expmod test"));
return;
}
cli_putstr_P(PSTR("\r\nenter c:"));
if (bigint_read_hex_echo(&c)) {
free(a.wordv);
free(b.wordv);
cli_putstr_P(PSTR("\r\n end expmod test"));
return;
}
d_b = malloc(c.length_W * sizeof(bigint_word_t));
if (d_b == NULL) {
cli_putstr_P(PSTR("\n\rERROR: Out of memory!"));
free(a.wordv);
free(b.wordv);
free(c.wordv);
continue;
}
d.wordv = d_b;
cli_putstr_P(PSTR("\r\n "));
bigint_print_hex(&a);
cli_putstr_P(PSTR("**"));
bigint_print_hex(&b);
cli_putstr_P(PSTR(" % "));
bigint_print_hex(&c);
cli_putstr_P(PSTR(" = "));
bigint_expmod_u_mont_sam(&d, &a, &b, &c);
bigint_print_hex(&d);
cli_putstr_P(PSTR("\r\n"));
free(a.wordv);
free(b.wordv);
free(c.wordv);
free(d.wordv);
}
}
#endif
void test_gcdext_bigint(void){
bigint_t a, b, c, d, e;
cli_putstr_P(PSTR("\r\ngcdext test\r\n"));
for (;;) {
cli_putstr_P(PSTR("\r\nenter a:"));
if (bigint_read_hex_echo(&a, 0)) {
cli_putstr_P(PSTR("\r\n end gcdext test"));
return;
}
cli_putstr_P(PSTR("\r\nenter b:"));
if (bigint_read_hex_echo(&b, 0)) {
bigint_free(&a);
cli_putstr_P(PSTR("\r\n end gcdext test"));
return;
}
memset(&c, 0, sizeof(c));
memset(&d, 0, sizeof(d));
memset(&e, 0, sizeof(e));
cli_putstr_P(PSTR("\r\n gcdext( "));
bigint_print_hex(&a);
cli_putstr_P(PSTR(", "));
bigint_print_hex(&b);
cli_putstr_P(PSTR(") => "));
bigint_gcdext(&c, &d, &e, &a, &b);
cli_putstr_P(PSTR("a = "));
bigint_print_hex(&d);
cli_putstr_P(PSTR("; b = "));
bigint_print_hex(&e);
cli_putstr_P(PSTR("; gcd = "));
bigint_print_hex(&c);
cli_putstr_P(PSTR("\r\n"));
bigint_free(&a);
bigint_free(&b);
bigint_free(&c);
bigint_free(&d);
bigint_free(&e);
}
}
void testrun_performance_bigint(void){
}
/*****************************************************************************
* main *
*****************************************************************************/
const char echo_test_str[] PROGMEM = "echo-test";
const char add_test_str[] PROGMEM = "add-test";
const char sub_test_str[] PROGMEM = "sub-test";
const char add_scale_test_str[] PROGMEM = "add-scale-test";
const char mul_test_str[] PROGMEM = "mul-test";
const char mul_mont_test_str[] PROGMEM = "mul-mont-test";
const char mul_word_test_str[] PROGMEM = "mul-word-test";
const char square_test_str[] PROGMEM = "square-test";
const char reduce_test_str[] PROGMEM = "reduce-test";
const char expmod_test_str[] PROGMEM = "expmod-test";
const char expmod_mont_test_str[] PROGMEM = "expmod-mont-test";
const char gcdext_test_str[] PROGMEM = "gcdext-test";
const char quick_test_str[] PROGMEM = "quick-test";
const char performance_str[] PROGMEM = "performance";
const char echo_str[] PROGMEM = "echo";
const cmdlist_entry_t cmdlist[] PROGMEM = {
{ add_test_str, NULL, test_add_bigint },
{ sub_test_str, NULL, test_sub_bigint },
// { add_scale_test_str, NULL, test_add_scale_bigint },
{ mul_test_str, NULL, test_mul_bigint },
// { mul_mont_test_str, NULL, test_mul_mont_bigint },
{ mul_word_test_str, NULL, test_mul_word_bigint },
{ square_test_str, NULL, test_square_bigint },
{ reduce_test_str, NULL, test_reduce_bigint },
// { expmod_test_str, NULL, test_expmod_bigint },
// { expmod_mont_test_str, NULL, test_expmod_mont_bigint },
{ gcdext_test_str, NULL, test_gcdext_bigint },
// { quick_test_str, NULL, test_gcdext_simple },
{ echo_test_str, NULL, test_echo_bigint },
{ performance_str, NULL, testrun_performance_bigint },
{ echo_str, (void*)1, (void_fpt)echo_ctrl },
{ NULL, NULL, NULL }
};
int main (void){
main_setup();
int_realloc = realloc;
int_free = free;
for(;;){
welcome_msg(algo_name);
cmd_interface(cmdlist);
}
}