commit 76b274ec0c4dcd417b394c54115694d8e05de703
parent 8b93b6635c36c5a5c3902af59bc0e614628b009d
Author: Cedric <cedric.zwahlen@students.bfh.ch>
Date: Sun, 24 Dec 2023 11:49:19 +0100
Fix Montgomery
Diffstat:
11 files changed, 2584 insertions(+), 2290 deletions(-)
diff --git a/source/montgomery.c b/source/montgomery.c
@@ -6,297 +6,447 @@
//
#include "montgomery.h"
+#include <math.h>
-// assume 64 bit, keep in mind that on the GPU, we can't dynamically allocate
-void mont_prepare(mpz_t b, mpz_t e, mpz_t m,
- mpz_t r, mpz_t r_1,
- mpz_t ni, mpz_t M, mpz_t x
- );
-void mont_product(mpz_t ret,
- const mpz_t a, const mpz_t b,
- const mpz_t r, const mpz_t r_1,
- const mpz_t n, const mpz_t ni
- );
+#define BITS_PER_DIGIT (sizeof(gpu_register) * 8)
+#define HIBITMASK 0x8000000000000000
+#define MAX_DIGIT 0xFFFFFFFFFFFFFFFF
-void mont_modexp(mpz_t ret,
- mpz_t a, mpz_t e,
- const mpz_t M,
- const mpz_t n, const mpz_t ni,
- const mpz_t r, const mpz_t r_1
- );
+#define R 32
-void mont_finish(mpz_t ret,
- const mpz_t xx,
- const mpz_t n, const mpz_t ni,
- const mpz_t r, const mpz_t r_1
- );
+int mult(gpu_register p[2], gpu_register x, gpu_register y)
+{
-void mont_prepare_even_modulus(mpz_t m, mpz_t q, mpz_t powj);
-
-void mont_mulmod(mpz_t res, const mpz_t a, const mpz_t b, const mpz_t mod);
-
-void mont_go(mpz_t res, char *base, char *exponent, char *modulus, int radix) {
-
- mpz_t b,e,m;
-
- mpz_init_set_str(b,base,radix); // M
- mpz_init_set_str(e,exponent,radix);
- mpz_init_set_str(m,modulus,radix); // n
+ /* Use a 64-bit temp for product */
+ //ulong t = (ulong)x * (ulong)y;
+ /* then split into two parts */
- mpz_t r, r_1, ni, M, x;
- mpz_init(r); // MARK: I think I have to destroy these myself
- mpz_init(r_1);
- mpz_init(ni);
- mpz_init(M);
- mpz_init(x);
+ __int128_t t = (__int128_t)x * (__int128_t)y;
- mpz_t xx;
- mpz_init(xx);
-
- if (mpz_even_p(m)) {
-
- mpz_t bb, x1, x2, q, powj;
- mpz_init(bb);
- mpz_init(x1);
- mpz_init(x2);
- mpz_init(q);
- mpz_init(powj);
-
- mont_prepare_even_modulus(m, q, powj);
-
- // q is uneven, so we can use regular modexp
- // MARK: we can improve the efficiency here by doing simple reductions
-
- mpz_mod(bb, b, q); // reductions like this
-
- mont_prepare(bb, e, q, r, r_1, ni, M, x);
- mont_modexp(xx, x, e, M, q, ni, r, r_1);
- mont_finish(x1, xx, q, ni, r, r_1);
-
-
- // MARK: we can also reduce and really speed this up as well -> binary method?
- mpz_powm(x2, b, e, powj);
-
- mpz_t y, q_1;
- mpz_init(y);
- mpz_init(q_1);
-
- mpz_sub(y, x2, x1);
-
- mpz_invert(q_1, q, powj);
-
- mpz_mul(y, y, q_1);
- mpz_mod(y, y, powj);
-
- mpz_addmul(x1, q, y);
-
- mpz_set(res, x1);
-
- printf("--\n");
-
-
-
- } else {
-
- mont_prepare(b, e, m, r, r_1, ni, M, x);
-
- mont_modexp(xx, x, e, M, m, ni, r, r_1);
-
- mont_finish(res, xx, m, ni, r, r_1);
-
-
+ p[1] = (gpu_register)(t >> 64);
+ p[0] = (gpu_register)t;
+
+ return 0;
+}
+
+
+int multiply( gpu_register *w, gpu_register *u, gpu_register *v, size_t ndigits)
+{
+ /* Computes product w = u * v
+ where u, v are multiprecision integers of ndigits each
+ and w is a multiprecision integer of 2*ndigits
+
+ Ref: Knuth Vol 2 Ch 4.3.1 p 268 Algorithm M.
+ */
+
+ gpu_register k, t[2];
+ size_t i, j, m, n;
+
+ //assert(w != u && w != v);
+
+ m = n = ndigits;
+
+ /* Step M1. Initialise */
+ for (i = 0; i < 2 * m; i++)
+ w[i] = 0;
+
+ for (j = 0; j < n; j++)
+ {
+ /* Step M2. Zero multiplier? */
+ if (v[j] == 0)
+ {
+ w[j + m] = 0;
+ }
+ else
+ {
+ /* Step M3. Initialise i */
+ k = 0;
+ for (i = 0; i < m; i++)
+ {
+ /* Step M4. Multiply and add */
+ /* t = u_i * v_j + w_(i+j) + k */
+ mult(t, u[i], v[j]);
+
+ t[0] += k;
+ if (t[0] < k)
+ t[1]++;
+ t[0] += w[i+j];
+ if (t[0] < w[i+j])
+ t[1]++;
+
+ w[i+j] = t[0];
+ k = t[1];
+ }
+ /* Step M5. Loop on i, set w_(j+m) = k */
+ w[j+m] = k;
+ }
+ } /* Step M6. Loop on j */
+
+ return 0;
+}
+
+
+int square( gpu_register *w, gpu_register *x, size_t ndigits)
+/* New in Version 2.0 */
+{
+ /* Computes square w = x * x
+ where x is a multiprecision integer of ndigits
+ and w is a multiprecision integer of 2*ndigits
+
+ Ref: Menezes p596 Algorithm 14.16 with errata.
+ */
+
+ gpu_register k, p[2], u[2], cbit, carry;
+ size_t i, j, t, i2, cpos;
+
+ t = ndigits;
+
+ /* 1. For i from 0 to (2t-1) do: w_i = 0 */
+ i2 = t << 1;
+ for (i = 0; i < i2; i++)
+ w[i] = 0;
+
+ carry = 0;
+ cpos = i2-1;
+ /* 2. For i from 0 to (t-1) do: */
+ for (i = 0; i < t; i++)
+ {
+ /* 2.1 (uv) = w_2i + x_i * x_i, w_2i = v, c = u
+ Careful, w_2i may be double-prec
+ */
+ i2 = i << 1; /* 2*i */
+ mult(p, x[i], x[i]);
+ p[0] += w[i2];
+ if (p[0] < w[i2])
+ p[1]++;
+ k = 0; /* p[1] < b, so no overflow here */
+ if (i2 == cpos && carry)
+ {
+ p[1] += carry;
+ if (p[1] < carry)
+ k++;
+ carry = 0;
+ }
+ w[i2] = p[0];
+ u[0] = p[1];
+ u[1] = k;
+
+ /* 2.2 for j from (i+1) to (t-1) do:
+ (uv) = w_{i+j} + 2x_j * x_i + c,
+ w_{i+j} = v, c = u,
+ u is double-prec
+ w_{i+j} is dbl if [i+j] == cpos
+ */
+ k = 0;
+ for (j = i+1; j < t; j++)
+ {
+ /* p = x_j * x_i */
+ mult(p, x[j], x[i]);
+ /* p = 2p <=> p <<= 1 */
+ cbit = (p[0] & HIBITMASK) != 0;
+ k = (p[1] & HIBITMASK) != 0;
+ p[0] <<= 1;
+ p[1] <<= 1;
+ p[1] |= cbit;
+ /* p = p + c */
+ p[0] += u[0];
+ if (p[0] < u[0])
+ {
+ p[1]++;
+ if (p[1] == 0)
+ k++;
+ }
+ p[1] += u[1];
+ if (p[1] < u[1])
+ k++;
+ /* p = p + w_{i+j} */
+ p[0] += w[i+j];
+ if (p[0] < w[i+j])
+ {
+ p[1]++;
+ if (p[1] == 0)
+ k++;
+ }
+ if ((i+j) == cpos && carry)
+ { /* catch overflow from last round */
+ p[1] += carry;
+ if (p[1] < carry)
+ k++;
+ carry = 0;
+ }
+ /* w_{i+j} = v, c = u */
+ w[i+j] = p[0];
+ u[0] = p[1];
+ u[1] = k;
+ }
+ /* 2.3 w_{i+t} = u */
+ w[i+t] = u[0];
+ /* remember overflow in w_{i+t} */
+ carry = u[1];
+ cpos = i+t;
}
+
+ /* (NB original step 3 deleted in Menezes errata) */
+
+ /* Return w */
+
+ return 0;
}
+gpu_register add( gpu_register *w, gpu_register *u, gpu_register *v, size_t ndigits)
+{
+ /* Calculates w = u + v
+ where w, u, v are multiprecision integers of ndigits each
+ Returns carry if overflow. Carry = 0 or 1.
-void mont_prepare_even_modulus(mpz_t m, mpz_t q, mpz_t powj) {
-
- mpz_t two; // powj == 2^j
-
- mpz_init_set_ui(two, 2);
-
- mp_bitcnt_t j = mpz_scan1(m, 0);
-
- mpz_tdiv_q_2exp(q,m,j);
- mpz_mul_2exp(powj,two,j - 1);
-
- mpz_clear(two);
-
+ Ref: Knuth Vol 2 Ch 4.3.1 p 266 Algorithm A.
+ */
+
+ gpu_register k;
+ size_t j;
+
+ //assert(w != v);
+
+ /* Step A1. Initialise */
+ k = 0;
+
+ for (j = 0; j < ndigits; j++)
+ {
+ /* Step A2. Add digits w_j = (u_j + v_j + k)
+ Set k = 1 if carry (overflow) occurs
+ */
+ w[j] = u[j] + k;
+ if (w[j] < k)
+ k = 1;
+ else
+ k = 0;
+
+ w[j] += v[j];
+ if (w[j] < v[j])
+ k++;
+
+ } /* Step A3. Loop on j */
+
+ return k; /* w_n = k */
}
-// CPU
-void mont_prepare(mpz_t b, mpz_t e, mpz_t m,
- mpz_t r, mpz_t r_1,
- mpz_t ni, mpz_t M, mpz_t x) {
-
- // MARK: break this up, reduce the amount of temporary variables
-
- // r and n (modulus) must be relatively prime (this is a given if n (modulus) is odd)
-
- // calculate r, which must be larger than the modulo and also a power of 2
-
- mpz_t one, oo; // some helper variables
- mpz_init_set_si(one,1);
- mpz_init_set_si(oo,0);
-
- size_t len = mpz_sizeinbase(m,2);
-
- mpz_mul_2exp(r,one,len);
-
- mpz_set_si(one, 0);
-
- mpz_gcdext(one, r_1, ni, r, m); // set r_1 and ni
-
- int sgn = mpz_sgn(r_1);
-
- mpz_abs(r_1, r_1);
- mpz_abs(ni, ni);
+gpu_register subtract(gpu_register *w, gpu_register *u, gpu_register *v, size_t ndigits)
+{
+ /* Calculates w = u - v where u >= v
+ w, u, v are multiprecision integers of ndigits each
+ Returns 0 if OK, or 1 if v > u.
+
+ Ref: Knuth Vol 2 Ch 4.3.1 p 267 Algorithm S.
+ */
+
+ gpu_register k;
+ size_t j;
+
- if (sgn == -1) {
- mpz_sub(ni, r, ni);
- mpz_sub(r_1, m, r_1);
+
+ /* Step S1. Initialise */
+ k = 0;
+
+ for (j = 0; j < ndigits; j++)
+ {
+ /* Step S2. Subtract digits w_j = (u_j - v_j - k)
+ Set k = 1 if borrow occurs.
+ */
+ w[j] = u[j] - k;
+ if (w[j] > MAX_DIGIT - k)
+ k = 1;
+ else
+ k = 0;
+
+ w[j] -= v[j];
+ if (w[j] > MAX_DIGIT - v[j])
+ k++;
+
+ } /* Step S3. Loop on j */
+
+ return k; /* Should be zero if u >= v */
+}
+
+void equal( gpu_register *a, gpu_register *b, size_t ndigits)
+{ /* Sets a = b */
+ size_t i;
+
+ for (i = 0; i < ndigits; i++)
+ {
+ a[i] = b[i];
}
+}
+
+/*
+void erase_above( gpu_register *a, size_t n)
+{
- if (mpz_cmp_ui(one, 1))
- assert(0);
-
- mpz_mul(one, r, r_1);
- mpz_mul(oo,ni,m);
-
- mpz_sub(one, one, oo); // oo must be one
-
- if (mpz_cmp_ui(one, 1))
- assert(0);
-
- mpz_mul(M, b, r);
- mpz_mod(M, M, m); // set M
-
- mpz_mod(x, r, m); // set x
-
- mpz_clear(one);
- mpz_clear(oo);
+ for (int i = n-1; i >= (n / 2); i--)
+ {
+ a[i] = 0;
+ }
}
+*/
-// maybe GPU?
-// MARK: n MUST be an odd number
-void mont_modexp(mpz_t ret,
- mpz_t a, mpz_t e,
- const mpz_t M,
- const mpz_t n, const mpz_t ni,
- const mpz_t r, const mpz_t r_1
- ) {
-
- mpz_t aa,xx;
+void erase_all( gpu_register *a, size_t n)
+{
- mpz_init_set(aa, M);
- mpz_init_set(xx, a);
+ for (int i = 0; i < n; i++)
+ {
+ a[i] = 0;
+ }
- int k = (int)mpz_sizeinbase(e,2);
+}
+
+void shift_right(gpu_register *r, int n) {
- for (int i = k - 1; i >= 0; i--) {
-
- mont_product(xx, xx, xx, r, r_1, n, ni);
+ for (int i = 0; i < R; i++) {
- if (mpz_tstbit(e, i))
- mont_product(xx, aa, xx, r, r_1, n, ni);
+ r[i] = r[i + n];
+ r[i + n] = 0;
}
-
- mpz_set(ret, xx);
- mpz_clear(aa);
- mpz_clear(xx);
+}
+/*
+int is_greater(gpu_register *r, int n) {
+ for (int i = n - 1; i >= 0; i--) {
+ if (r[i] != 0)
+ return i;
+ }
+ return 0;
+}
+*/
+// 1 if r > l ; -1 if r < l; == 0
+int compare(gpu_register *r, gpu_register *l, int n) {
+
+ int x = 0;
+ for (int i = 0; i < n; i++) {
+ x = r[i] > l[i];
+ if (x) return 1;
+ x = r[i] < l[i];
+ if (x) return -1;
+ }
+ return 0;
}
-void mont_finish(mpz_t ret,
- const mpz_t xx,
- const mpz_t n, const mpz_t ni,
- const mpz_t r, const mpz_t r_1
- ) {
+int testbit(gpu_register e, int i) {
+ return (e & (0x1 << (gpu_register)i) ) > 0 ? 1 : 0;
- mpz_t x,one;
+}
+
+void montMul( gpu_register *ret,
+ gpu_register *a, gpu_register *b,
+ gpu_register *ni, gpu_register *n,
+ gpu_register *tmp_1, gpu_register *tmp_2, gpu_register *tmp_3
+ ) {
+
+ multiply(tmp_1,a,b,R);
+ //if (is_greater(tmp_1, R*2) >= 32) shift_right(tmp_1, R);
+
- mpz_init(x);
- mpz_init_set_ui(one, 1);
+ multiply(tmp_2,tmp_1,ni,R);
+ //if (is_greater(tmp_2, R*2) >= 32) shift_right(tmp_2, R);
- mont_product(x, xx, one, r, r_1, n, ni);
+ multiply(tmp_3,tmp_2,n,R);
- mpz_set(ret, x);
+ add(tmp_2,tmp_1,tmp_3,R*2);
+ shift_right(tmp_2, R);
- mpz_clear(x);
- mpz_clear(one);
+ if (compare(tmp_2, n, R) >= 0) {
+ subtract(ret, tmp_2, n, R);
+ } else {
+ equal(ret, tmp_2, R);
+ }
}
-
-// GPU
-void mont_product(mpz_t ret,
- const mpz_t a, const mpz_t b,
- const mpz_t r, const mpz_t r_1,
- const mpz_t n, const mpz_t ni
- ) {
-
- mpz_t t,m,u;
+void montSqr( gpu_register *ret,
+ gpu_register *a,
+ gpu_register *ni, gpu_register *n,
+ gpu_register *tmp_1, gpu_register *tmp_2, gpu_register *tmp_3
+ ) {
- mpz_init(t);
- mpz_init(m);
- mpz_init(u);
+ square(tmp_1,a,R);
+ //if (is_greater(tmp_1, R*2) >= 32) shift_right(tmp_1, R); // only shift if the number is actually greater than R
+ multiply(tmp_2,tmp_1,ni,R);
+ //if (is_greater(tmp_2, R*2) >= 32) shift_right(tmp_2, R);
+ multiply(tmp_3,tmp_2,n,R);
- mont_mulmod(t, b, a, r);
+ add(tmp_2,tmp_1,tmp_3,R*2);
+ shift_right(tmp_2, R);
- mont_mulmod(m, ni, t, r);
+ if (compare(tmp_2, n, R) >= 0) {
+ subtract(ret, tmp_2, n, R);
+ } else {
+ equal(ret, tmp_2, R);
+ }
+
- mpz_t ab,mn;
- mpz_init(ab);
- mpz_init(mn);
+}
+
+
+ void mont( gpu_register *x, gpu_register *m,
+ gpu_register *res, gpu_register *n, // res is not needed, we write the result in x
+ gpu_register *ni, gpu_register *exp,
+ gpu_register *tmp_1, gpu_register *tmp_2, gpu_register *tmp_3,
+ gpu_register *pks//, unsigned long count // invalid is not needed either
+ )
+{
- mpz_mul(ab, a, b);
- mpz_mul(mn, m, n);
+ size_t i = 0;
- mpz_add(ab, ab, mn);
+ int offs = 0; // the size of one number
- unsigned long sz = mpz_sizeinbase(r,2) - 1;
- mpz_tdiv_q_2exp(u, ab, sz); // this is essentially a bit shift, instead of a division
+ int pk = 0; // das funktioniert so nicht – die globale id wird grösser, ohne dass noch weitere elemente in pks sind...
- if (mpz_cmp(u, n) >= 0)
- mpz_sub(u, u, n);
-
- mpz_set(ret, u);
- mpz_clear(ab);
- mpz_clear(mn);
- mpz_clear(t);
- mpz_clear(m);
- mpz_clear(u);
+// while (1) {
+// if (pks[pk] >= i)
+// break;
+// pk++;
+// }
-}
-
-
-// not the fastest... but it does not increase the variable sizes
-void mont_mulmod(mpz_t res, const mpz_t a, const mpz_t b, const mpz_t mod) {
- mpz_t aa, bb;
- mpz_init_set(aa, a);
- mpz_init_set(bb,b);
+ int k = ceil(log2((float)exp[pk] + (float)1));
- mpz_mod(aa, aa, mod); // in case a is bigger
+
- while (mpz_cmp_ui(bb, 0) > 0) {
- if (mpz_odd_p(bb)) {
- mpz_add(res, res, aa);
- mpz_mod(res, res, mod);
+ for (int j = k - 1; j >= 0; j--) {
+
+ montSqr(res, x, ni, n, tmp_1, tmp_2, tmp_3);
+
+ if (testbit(exp[pk], j)) {
+
+ equal(x, res, R);
+ erase_all(tmp_1,R * 2);
+ erase_all(tmp_2,R * 2);
+ erase_all(tmp_3,R * 2);
+
+ montMul(res, x, m, ni, n, tmp_1, tmp_2, tmp_3);
+
+
}
- mpz_mul_2exp(aa,aa,1);
- mpz_mod(aa, aa, mod);
- mpz_tdiv_q_2exp(bb, bb, 1);
+ equal(x, res, R);
+ erase_all(tmp_1,R * 2);
+ erase_all(tmp_2,R * 2);
+ erase_all(tmp_3,R * 2);
+ // clear / reset the temps...
}
+
+ equal(x, res, R);
+ erase_all(m,R);
+ m[0] = 1; // reuse m, to convert out of montgomery
+ montMul(res, x, m, ni, n, tmp_1, tmp_2, tmp_3);
+
+
}
diff --git a/source/montgomery.h b/source/montgomery.h
@@ -14,6 +14,14 @@
#include <assert.h>
-void mont_go(mpz_t res, char *base, char *exponent, char *modulus, int radix);
+typedef u_int64_t gpu_register;
+
+void mont( gpu_register *x, gpu_register *m,
+ gpu_register *res, gpu_register *n, // res is not needed, we write the result in x
+ gpu_register *ni, gpu_register *exp,
+ gpu_register *tmp_1, gpu_register *tmp_2, gpu_register *tmp_3,
+ gpu_register *pks//, unsigned long count // invalid is not needed either
+);
+
#endif /* montgomery_h */
diff --git a/source/montmodmult.c b/source/montmodmult.c
@@ -8,6 +8,8 @@
#include "montmodmult.h"
#include "util.h"
+#include "montgomery.h"
+
static unsigned long len_in_bytes = 0;
#define ORDER -1 // I think we need to do this, because we want to write it in the 'wrong' way
@@ -97,16 +99,9 @@ void montmodmult_pairs_from_files(void *x_buf, void *m_buf,
mpz_init(N);
mpz_init(NN);
- mpz_t one; // some helper variables
+ mpz_t one,oo; // some helper variables
mpz_init_set_si(one,1);
-
-
- // N is a constant for a given field (2048)
- mpz_mul_2exp(N,one,2043); // r
- mpz_mul_2exp(NN,one,44); // r
-
- mpz_add(N, N, NN);
- mpz_add_ui(N, N, 1); // N = 2^2044 + 2^45 + 1
+ mpz_init_set_si(oo,0);
while (message != NULL && signature != NULL) {
@@ -132,18 +127,22 @@ void montmodmult_pairs_from_files(void *x_buf, void *m_buf,
mpz_gcdext(one, r_1, ni, r, mod); // set r_1 and ni
- // MARK: n' is negative – fix that
-
- int sgn = mpz_sgn(r_1);
+ int sgn = mpz_sgn(r_1);
mpz_abs(r_1, r_1);
mpz_abs(ni, ni);
if (sgn == -1) {
mpz_sub(ni, r, ni);
- mpz_sub(r_1, N, r_1);
+ mpz_sub(r_1, mod, r_1);
}
+ // tests
+ mpz_mul(oo,r,r_1);
+ mpz_mod(oo,oo,mod);
+
+ assert(mpz_cmp(one,oo) == 0);
+
// MARK: export
// exponent as is and mod -> n, ni -> ni, r_1 -> r_1
@@ -165,14 +164,16 @@ void montmodmult_pairs_from_files(void *x_buf, void *m_buf,
signature = strtok_r(0, "\n",&ms_ptr_rest);
// set x (the number to 'square' (multiply by itself))
- mpz_mul(x, s, r);
- mpz_mod(x, x, mod);
+ mpz_mul(M, s, r);
+ mpz_mod(M, M, mod);
+
+ mpz_mod(x, r, mod);
// message as is and 'signature' -> x , M -> m
mpz_export(&msg_buf_t[len * i], NULL, ORDER, sizeof(gpu_register), END, 0, msg);
mpz_export(&s_buf_t[len * i], NULL, ORDER, sizeof(gpu_register), END, 0, s);
- mpz_export(&x_buf_t[len * i], NULL, ORDER, sizeof(gpu_register), END, 0, s);
- mpz_export(&m_buf_t[len * i], NULL, ORDER, sizeof(gpu_register), END, 0, s);
+ mpz_export(&x_buf_t[len * i], NULL, ORDER, sizeof(gpu_register), END, 0, x);
+ mpz_export(&m_buf_t[len * i], NULL, ORDER, sizeof(gpu_register), END, 0, M);
@@ -226,7 +227,7 @@ int modmult_opencl_prepare(struct gpu_info *info, struct gpu_state_alt *state,
unsigned long len = len_in_bytes;
state->x_mem = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len, NULL, NULL);
- state->m_mem = clCreateBuffer(info->context, CL_MEM_READ_ONLY, len, NULL, NULL);
+ state->m_mem = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len, NULL, NULL);
//state->res_mem = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len, NULL, NULL); // the result that is written back
state->n_mem = clCreateBuffer(info->context, CL_MEM_READ_ONLY, len, NULL, NULL);
@@ -236,6 +237,7 @@ int modmult_opencl_prepare(struct gpu_info *info, struct gpu_state_alt *state,
state->tmp_1 = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len * 2, NULL, NULL);
state->tmp_2 = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len * 2, NULL, NULL);
+ state->tmp_3 = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len * 2, NULL, NULL);
state->pks_indices = clCreateBuffer(info->context, CL_MEM_READ_ONLY, sizeof(unsigned long) * (pk + 1),NULL, NULL);
@@ -247,11 +249,13 @@ int modmult_opencl_prepare(struct gpu_info *info, struct gpu_state_alt *state,
void *tmp_1 = malloc(len * 2);
void *tmp_2 = malloc(len * 2);
+ void *tmp_3 = malloc(len * 2);
//void *res = malloc(len);
memset(tmp_1, 0, len * 2);
memset(tmp_2, 0, len * 2);
+ memset(tmp_3, 0, len * 2);
//memset(res, 0, len);
// Write our data set into the input array in device memory
@@ -267,6 +271,7 @@ int modmult_opencl_prepare(struct gpu_info *info, struct gpu_state_alt *state,
err |= clEnqueueWriteBuffer(info->commands, state->tmp_1, CL_TRUE, 0, len * 2, tmp_1, 0, NULL, NULL);
err |= clEnqueueWriteBuffer(info->commands, state->tmp_2, CL_TRUE, 0, len * 2, tmp_2, 0, NULL, NULL);
+ err |= clEnqueueWriteBuffer(info->commands, state->tmp_3, CL_TRUE, 0, len * 2, tmp_3, 0, NULL, NULL);
err |= clEnqueueWriteBuffer(info->commands, state->pks_indices, CL_TRUE, 0, sizeof(unsigned long) * (pk + 1), pks, 0, NULL, NULL);
if (err != CL_SUCCESS)
@@ -277,6 +282,7 @@ int modmult_opencl_prepare(struct gpu_info *info, struct gpu_state_alt *state,
free(tmp_1);
free(tmp_2);
+ free(tmp_3);
//free(res);
// Set the arguments to our compute kernel
@@ -290,7 +296,8 @@ int modmult_opencl_prepare(struct gpu_info *info, struct gpu_state_alt *state,
err |= clSetKernelArg(info->kernel, 5, sizeof(cl_mem), &state->exp_mem);
err |= clSetKernelArg(info->kernel, 6, sizeof(cl_mem), &state->tmp_1);
err |= clSetKernelArg(info->kernel, 7, sizeof(cl_mem), &state->tmp_2);
- err |= clSetKernelArg(info->kernel, 8, sizeof(cl_mem), &state->pks_indices);
+ err |= clSetKernelArg(info->kernel, 8, sizeof(cl_mem), &state->tmp_3);
+ err |= clSetKernelArg(info->kernel, 9, sizeof(cl_mem), &state->pks_indices);
//err |= clSetKernelArg(info->kernel, 9, sizeof(unsigned long), &n);
@@ -394,8 +401,7 @@ unsigned long modmult_opencl_results(struct gpu_info *info, struct gpu_state_alt
mpz_import(N, len, ORDER, sizeof(gpu_register), END, 0, &n_buf[i * len]);
mpz_import(mod, len, ORDER, sizeof(gpu_register), END, 0, &mod_buf[i * len]);
- // mpz_mul(ret, a, r_1);
- // mpz_mod(ret, ret, mod);
+
}
@@ -403,22 +409,13 @@ unsigned long modmult_opencl_results(struct gpu_info *info, struct gpu_state_alt
// test reference
- mpz_t sig, sig_tmp, one, r;
- mpz_init(sig);
- mpz_init(sig_tmp);
-
- mpz_init(one);
- mpz_init(r);
-
- mpz_import(sig, len, ORDER, sizeof(gpu_register), END, 0, s_buf);
+ mpz_t mmm;
+ mpz_init(mmm);
- mpz_set_si(one, 1);
- mpz_mul_2exp(r,one,BIT_LENGTH); // r
- mpz_mul(sig, sig, sig);
- mpz_mod(sig, sig, r);
+ mpz_import(mmm, len, ORDER, sizeof(gpu_register), END, 0, msg_buf);
- gmp_printf ("ref: %Zd\n", sig);
+ gmp_printf ("mmm: %Zd\n", mmm);
printf("");
@@ -428,7 +425,6 @@ unsigned long modmult_opencl_results(struct gpu_info *info, struct gpu_state_alt
mpz_clear(r_1);
mpz_clear(mod);
- mpz_clear(one);
@@ -521,6 +517,40 @@ void modmult_gpu_execute(struct gpu_info *info, struct gpu_state_alt *state,
void *s_buf,
unsigned long *pks, unsigned long n) {
+
+ int len = len_in_bytes;
+
+ // MARK: on the cpu
+
+ void *res = malloc(len);
+
+ void *tmp_1 = malloc(len * 2);
+ void *tmp_2 = malloc(len * 2);
+ void *tmp_3 = malloc(len * 2);
+
+ //void *res = malloc(len);
+
+ memset(tmp_1, 0, len * 2);
+ memset(tmp_2, 0, len * 2);
+ memset(tmp_3, 0, len * 2);
+
+ memset(res, 0, len);
+
+
+ mpz_t ret;
+ mpz_init(ret);
+
+ mont(x_buf, m_buf, res, n_buf, ni_buf, exp_buf, tmp_1, tmp_2, tmp_3, pks);
+
+ mpz_import(ret, len / 8, ORDER, sizeof(gpu_register), END, 0, res);
+
+ gmp_printf ("CPU ret in decimal: %Zd\n", ret);
+
+ free(tmp_1);
+ free(tmp_2);
+ free(tmp_3);
+
+
modmult_opencl_prepare(info, state,
x_buf, m_buf,
//r_1_buf,
@@ -567,7 +597,7 @@ int mont_modmult_tests(void) {
gpu_register *m_buf = malloc(digit_sz);
gpu_register *r_1_buf = malloc(digit_sz);
gpu_register *n_buf = malloc(digit_sz);
- gpu_register *ni_buf = malloc(digit_sz);
+ gpu_register *ni_buf = malloc(digit_sz + pairs);
gpu_register *msg_buf = malloc(digit_sz);
gpu_register *s_buf = malloc(digit_sz);
gpu_register *mod_buf = malloc(digit_sz);
@@ -592,7 +622,10 @@ int mont_modmult_tests(void) {
montmodmult_pairs_from_files(x_buf, m_buf,
r_1_buf,
n_buf, ni_buf,
- msg_buf, exp_buf, mod_buf, s_buf,
+ msg_buf,
+ exp_buf,
+ mod_buf,
+ s_buf,
pks, &pairs);
printf("VERIFYING %lu SIGNATURES...\n", pairs);
@@ -606,7 +639,10 @@ int mont_modmult_tests(void) {
x_buf, m_buf,
r_1_buf,
n_buf, ni_buf,
- msg_buf, exp_buf, mod_buf, s_buf,
+ msg_buf,
+ exp_buf,
+ mod_buf,
+ s_buf,
pks, pairs);
unsigned long res = modmult_gpu_finish(&info, &state, msg_buf, r_1_buf, n_buf, mod_buf,s_buf, pairs);
diff --git a/source/util.h b/source/util.h
@@ -116,6 +116,7 @@ struct gpu_state_alt {
cl_mem tmp_1;
cl_mem tmp_2;
+ cl_mem tmp_3;
cl_mem pks_indices;
diff --git a/xcode/lib-gpu-generate/msgsig.txt b/xcode/lib-gpu-generate/msgsig.txt
@@ -1,2 +1,2 @@
-9506E0DF73
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+5806A25CC6B1AA63
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diff --git a/xcode/lib-gpu-generate/publickey.txt b/xcode/lib-gpu-generate/publickey.txt
@@ -1,3 +1,3 @@
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
-02
+00B70364447990A82B5148BD0D380753E8AECD553E7FD63148A97C0184D45FB6D4152781A31E424DF5514D1C437C63675C349AD0E364DB6E040F573CDA4A4E00D6497224FC2247CB66FDDF1FA260764122DEC624AB76458BB20FA10A5941E2DDD245FFB3BF58431AB4C3D998E9B014370CDD67D253AF62644312CABF16D16AA2F37A44A92902684729EC611D33CC3A612D684C3AE220BFDC732D20C06E349497C44F6F67B51FFAE5CC1802A3BF86093C9663BB5BBF4A8B65B17BE07B247DED2A1602698506C0DC5E2EB2C150DC6D4847412768D1F3D3398710E74BD2B27264EE411B99CCB84F7EF7BF6E1F3E4EBAA839A32720D23271C0429662A05BB61D999397
+010001
0
diff --git a/xcode/lib-gpu-verify.xcodeproj/project.pbxproj b/xcode/lib-gpu-verify.xcodeproj/project.pbxproj
@@ -13,6 +13,7 @@
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6ABC2E882B231E3D00033B90 /* reference-test.c in Sources */ = {isa = PBXBuildFile; fileRef = 6ABC2E862B231E3D00033B90 /* reference-test.c */; };
+ 6AC0BA972B37A90B005B9AAE /* montgomery.c in Sources */ = {isa = PBXBuildFile; fileRef = 6A7914CD2B0CF320001EDCC1 /* montgomery.c */; };
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@@ -240,6 +241,7 @@
isa = PBXSourcesBuildPhase;
buildActionMask = 2147483647;
files = (
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6AB4D99D2B1645F900A686F2 /* montgomery-test.c in Sources */,
6ABC2E882B231E3D00033B90 /* reference-test.c in Sources */,
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diff --git a/xcode/lib-gpu-verify.xcodeproj/project.xcworkspace/xcuserdata/cedriczwahlen.xcuserdatad/UserInterfaceState.xcuserstate b/xcode/lib-gpu-verify.xcodeproj/project.xcworkspace/xcuserdata/cedriczwahlen.xcuserdatad/UserInterfaceState.xcuserstate
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continueAfterRunningActions = "No"
- symbolName = "modmult_opencl_results"
+ symbolName = "shift_right"
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usesParentBreakpointCondition = "Yes"
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continueAfterRunningActions = "No"
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+ symbolName = "shift_right"
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diff --git a/xcode/montgomery.cl b/xcode/montgomery.cl
@@ -2732,7 +2732,7 @@ void mont_prepare(mpz_t b, mpz_t e, mpz_t m,
//unsigned long len = mpz_sizeinbase(m,2);
- unsigned long len = 2049;
+ unsigned long len = 2048;
mpz_mul_2exp(r,one,len);
diff --git a/xcode/montmodmult.cl b/xcode/montmodmult.cl
@@ -10,7 +10,7 @@ int mult(gpu_register p[2], gpu_register x, gpu_register y)
{
-
+
/* Use a 64-bit temp for product */
//ulong t = (ulong)x * (ulong)y;
@@ -318,17 +318,55 @@ void erase_above(__global gpu_register *a, size_t n)
}
+void erase(__global gpu_register *a, size_t n)
+{
+
+ for (int i = 0; i < n; i++)
+ {
+ a[i] = 0;
+ }
+
+}
+
int testbit(gpu_register e, int i) {
return (e & (0x1 << (gpu_register)i) ) > 0 ? 1 : 0;
}
+void montMul(__global gpu_register *ret,
+ __global gpu_register *a, __global gpu_register *b,
+ __global gpu_register *ni, __global gpu_register *n,
+ __global gpu_register *tmp_1, __global gpu_register *tmp_2, __global gpu_register *tmp_3
+ ) {
+
+ multiply(tmp_1,a,b,32);
+ //tmp_1[33] = 0;
+ multiply(tmp_2,tmp_1,ni,32);
+ multiply(tmp_3,tmp_2,n,32);
+ add(ret,tmp_1,tmp_3,32);
+ //erase_above(res);
+}
+
+void montSqr(__global gpu_register *ret,
+ __global gpu_register *a,
+ __global gpu_register *ni, __global gpu_register *n,
+ __global gpu_register *tmp_1, __global gpu_register *tmp_2, __global gpu_register *tmp_3
+ ) {
+
+ square(tmp_1,a,32);
+ //tmp_1[33] = 0;
+ multiply(tmp_2,tmp_1,ni,32);
+ multiply(tmp_3,tmp_2,n,32);
+ add(ret,tmp_1,tmp_3,32);
+ //erase_above(res);
+}
+
__kernel
void mont(__global gpu_register *x, __global gpu_register *m,
__global gpu_register *res, __global gpu_register *n, // res is not needed, we write the result in x
__global gpu_register *ni, __global gpu_register *exp,
- __global gpu_register *tmp_1, __global gpu_register *tmp_2,
+ __global gpu_register *tmp_1, __global gpu_register *tmp_2, __global gpu_register *tmp_3,
__global gpu_register *pks//, unsigned long count // invalid is not needed either
)
{
@@ -349,27 +387,45 @@ __kernel
int k = ceil(log2((float)exp[pk] + (float)1));
- //printf((char __constant *)"%i\n", k);
+ printf((char __constant *)"%i\n", k);
barrier(CLK_GLOBAL_MEM_FENCE | CLK_LOCAL_MEM_FENCE);
- equal(tmp_2, x, 32);
-
- int z = 0;
-
for (int j = k - 1; j >= 0; j--) {
- square(tmp_1,tmp_2,32);
- erase_above(tmp_1, 64);
- //printf((char __constant *)"sqr\n");
+ //square(tmp_1,tmp_2,32); // replace with montSqr
+ //erase_above(tmp_1, 64);
+ printf((char __constant *)"sqr\n");
+
+ montSqr(res, x, ni, n, tmp_1, tmp_2, tmp_3);
+
+
if (testbit(exp[pk], j)) {
- multiply(tmp_1,tmp_2,m,32);
- erase_above(tmp_1, 64);
- //printf((char __constant *)"mul\n");
+
+ equal(x, res, 32);
+ erase(tmp_1,64);
+ erase(tmp_2,64);
+ erase(tmp_3,64);
+
+ montMul(res, x, m, ni, n, tmp_1, tmp_2, tmp_3);
+ //equal(tmp_2, tmp_1, 32);
+ //multiply(tmp_1,tmp_2,m,32);
+ //erase_above(tmp_1, 64);
+ printf((char __constant *)"mul\n");
}
+
+ equal(x, res, 32);
+ erase(tmp_1,64);
+ erase(tmp_2,64);
+ erase(tmp_3,64);
+ // clear / reset the temps...
}
-
- equal(res, tmp_1, 32);
-
+
+ equal(x, res, 32);
+ erase(tmp_2,64);
+ tmp_2[0] = 1;
+ montMul(res, x, tmp_2, ni, n, tmp_1, tmp_2, tmp_3);
+
+
}
