libgpuverify

Signature verification on GPUs (WiP)
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commit edfae681ce1e4bda6a4f4b17a852903db86e125a
parent 9d3cc30d284ec77c1068712886051c517ae2eeb7
Author: Cedric <cedric.zwahlen@students.bfh.ch>
Date:   Mon, 25 Dec 2023 20:41:03 +0100

Fix Montgomery

works with one signature, verifying several still fails sometimes

Diffstat:
Msource/lib-gpu-verify.c | 2+-
Msource/montgomery.c | 11-----------
Msource/montmodmult.c | 168+++++++++++++++----------------------------------------------------------------
Mxcode/lib-gpu-generate/msgsig.txt | 4098++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-
Mxcode/lib-gpu-generate/publickey.txt | 49+++++++++++++++++++++++++++++++++++++++++++++++--
Mxcode/lib-gpu-verify.xcodeproj/project.xcworkspace/xcuserdata/cedriczwahlen.xcuserdatad/UserInterfaceState.xcuserstate | 0
Mxcode/lib-gpu-verify.xcodeproj/xcshareddata/xcschemes/lib-gpu-generate.xcscheme | 4++--
Mxcode/lib-gpu-verify.xcodeproj/xcuserdata/cedriczwahlen.xcuserdatad/xcdebugger/Breakpoints_v2.xcbkptlist | 1145+++++++++++--------------------------------------------------------------------
Mxcode/montmodmult.cl | 292+++++++++++++++++++++++++++++++++++++------------------------------------------
9 files changed, 4466 insertions(+), 1303 deletions(-)

diff --git a/source/lib-gpu-verify.c b/source/lib-gpu-verify.c @@ -25,7 +25,7 @@ int main(int argc, char** argv) // MARK: might have memory issues //mont_rsa_tests(); - rsa_tests(); + //rsa_tests(); //reference_tests(); diff --git a/source/montgomery.c b/source/montgomery.c @@ -327,12 +327,7 @@ void montMul( gpu_register *ret, ) { multiply(tmp_1,a,b,R); - //if (is_greater(tmp_1, R*2) >= 32) shift_right(tmp_1, 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); add(tmp_2,tmp_1,tmp_3,R*2+1); // MARK: something gets lost in the carry @@ -343,7 +338,6 @@ void montMul( gpu_register *ret, equal(tmp_3, n, R); if (compare(tmp_2, tmp_3, R+1) >= 0) { - printf("non-zero add\n"); subtract(ret, tmp_2, tmp_3, R+1); } else { equal(ret, tmp_2, R); @@ -358,11 +352,7 @@ void montSqr( gpu_register *ret, ) { 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); add(tmp_2,tmp_1,tmp_3,R*2+1); @@ -373,7 +363,6 @@ void montSqr( gpu_register *ret, equal(tmp_3, n, R); if (compare(tmp_2, tmp_3, R+1) >= 0) { - printf("non-zero add\n"); subtract(ret, tmp_2, tmp_3, R+1); } else { equal(ret, tmp_2, R); diff --git a/source/montmodmult.c b/source/montmodmult.c @@ -88,20 +88,16 @@ void montmodmult_pairs_from_files(void *x_buf, void *m_buf, mpz_init(msg); mpz_init(s); - mpz_t r, r_1, ni, M, x, N; - mpz_t NN; + mpz_t r, r_1, ni, M, x; mpz_init(r); mpz_init(r_1); mpz_init(ni); mpz_init(M); mpz_init(x); - mpz_init(N); - mpz_init(NN); - mpz_t one,oo; // some helper variables + mpz_t one; // some helper variables mpz_init_set_si(one,1); - mpz_init_set_si(oo,0); while (message != NULL && signature != NULL) { @@ -116,13 +112,10 @@ void montmodmult_pairs_from_files(void *x_buf, void *m_buf, exponent = strtok_r(0, "\n", &pk_ptr_rest); offs = strtok_r(0, "\n", &pk_ptr_rest); - // MARK: into montgomery domain - + // MARK: into montgomery domain – this must be included in some seperate function for library mpz_set_si(one, 1); - - - + mpz_mul_2exp(r,one,BIT_LENGTH); // r mpz_gcdext(one, r_1, ni, r, mod); // set r_1 and ni @@ -137,12 +130,6 @@ void montmodmult_pairs_from_files(void *x_buf, void *m_buf, 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 @@ -175,10 +162,6 @@ void montmodmult_pairs_from_files(void *x_buf, void *m_buf, 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); - - - - i++; } @@ -193,9 +176,6 @@ void montmodmult_pairs_from_files(void *x_buf, void *m_buf, mpz_clear(M); mpz_clear(x); - mpz_clear(N); - mpz_clear(NN); - mpz_clear(one); *n = i; @@ -235,11 +215,11 @@ int modmult_opencl_prepare(struct gpu_info *info, struct gpu_state_alt *state, state->exp_mem = clCreateBuffer(info->context, CL_MEM_READ_ONLY, n * sizeof(gpu_register), NULL, NULL); - state->tmp_1 = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len * 2 + sizeof(gpu_register), NULL, NULL); - state->tmp_2 = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len * 2 + sizeof(gpu_register), NULL, NULL); - state->tmp_3 = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len * 2 + sizeof(gpu_register), NULL, NULL); + state->tmp_1 = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len * 2 + sizeof(gpu_register) * n, NULL, NULL); + state->tmp_2 = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len * 2 + sizeof(gpu_register) * n, NULL, NULL); + state->tmp_3 = clCreateBuffer(info->context, CL_MEM_READ_WRITE, len * 2 + sizeof(gpu_register) * n, NULL, NULL); - state->pks_indices = clCreateBuffer(info->context, CL_MEM_READ_ONLY, sizeof(unsigned long) * (pk + 1),NULL, NULL); + state->pks_indices = clCreateBuffer(info->context, CL_MEM_READ_ONLY, sizeof(unsigned long) * (pk + 2), NULL, NULL); // plus 2 because the first index will contain how many elements are in the array if (!state->x_mem || !state->m_mem || !state->n_mem || !state->ni_mem || !state->exp_mem || !state->tmp_1 || !state->tmp_2) { @@ -247,16 +227,13 @@ int modmult_opencl_prepare(struct gpu_info *info, struct gpu_state_alt *state, exit(1); } - void *tmp_1 = malloc(len * 2 + sizeof(gpu_register)); - void *tmp_2 = malloc(len * 2 + sizeof(gpu_register)); - void *tmp_3 = malloc(len * 2 + sizeof(gpu_register)); + void *tmp_1 = malloc(len * 2 + sizeof(gpu_register) * n); + void *tmp_2 = malloc(len * 2 + sizeof(gpu_register) * n); + void *tmp_3 = malloc(len * 2 + sizeof(gpu_register) * n); - //void *res = malloc(len); - - memset(tmp_1, 0, len * 2 + sizeof(gpu_register)); - memset(tmp_2, 0, len * 2 + sizeof(gpu_register)); - memset(tmp_3, 0, len * 2 + sizeof(gpu_register)); - //memset(res, 0, len); + memset(tmp_1, 0, len * 2 + sizeof(gpu_register) * n); + memset(tmp_2, 0, len * 2 + sizeof(gpu_register) * n); + memset(tmp_3, 0, len * 2 + sizeof(gpu_register) * n); // Write our data set into the input array in device memory // @@ -269,11 +246,13 @@ int modmult_opencl_prepare(struct gpu_info *info, struct gpu_state_alt *state, err |= clEnqueueWriteBuffer(info->commands, state->exp_mem, CL_TRUE, 0, n * sizeof(gpu_register), exp_buf, 0, NULL, NULL); - err |= clEnqueueWriteBuffer(info->commands, state->tmp_1, CL_TRUE, 0, len * 2 + sizeof(gpu_register), tmp_1, 0, NULL, NULL); - err |= clEnqueueWriteBuffer(info->commands, state->tmp_2, CL_TRUE, 0, len * 2 + sizeof(gpu_register), tmp_2, 0, NULL, NULL); - err |= clEnqueueWriteBuffer(info->commands, state->tmp_3, CL_TRUE, 0, len * 2 + sizeof(gpu_register), tmp_3, 0, NULL, NULL); + err |= clEnqueueWriteBuffer(info->commands, state->tmp_1, CL_TRUE, 0, len * 2 + sizeof(gpu_register) * n, tmp_1, 0, NULL, NULL); + err |= clEnqueueWriteBuffer(info->commands, state->tmp_2, CL_TRUE, 0, len * 2 + sizeof(gpu_register) * n, tmp_2, 0, NULL, NULL); + err |= clEnqueueWriteBuffer(info->commands, state->tmp_3, CL_TRUE, 0, len * 2 + sizeof(gpu_register) * n, tmp_3, 0, NULL, NULL); + + err |= clEnqueueWriteBuffer(info->commands, state->pks_indices, CL_TRUE, sizeof(unsigned long), sizeof(unsigned long) * (pk + 1), pks, 0, NULL, NULL); + err |= clEnqueueWriteBuffer(info->commands, state->pks_indices, CL_TRUE, 0, sizeof(unsigned long), &pk, 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) { printf("Error: Failed to write to source array!\n"); @@ -283,7 +262,6 @@ 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 // @@ -320,13 +298,6 @@ int modmult_opencl_exec_kernel(struct gpu_info *info, struct gpu_state_alt *stat // size_t local; int err; - // MARK: deal with size limitations - - size_t modifier = (BIT_LENGTH / 8) / sizeof(gpu_register); - - // MARK: testing with one kernel, and a loop that simulates work items - - //global = state->total % len == 0? state->total : state->total + state->total % len; global = state->total; // has to be exactly the amount of signatures we want to verify // measure from the first call to the kernel... @@ -382,68 +353,26 @@ unsigned long modmult_opencl_results(struct gpu_info *info, struct gpu_state_alt // MARK: convert out of montgomery - mpz_t ret,a,r_1,mod,N; + mpz_t ret, com; - mpz_init(ret); - mpz_init(a); - mpz_init(r_1); - mpz_init(mod); - mpz_init(N); + unsigned long result = 0; - //mpz_export(&n_buf_t[len * j], NULL, 1, sizeof(gpu_register), 0, 0, mod); + mpz_init(ret); + mpz_init(com); int len = (BIT_LENGTH / 8) / sizeof(gpu_register); for (int i = 0; i < n; i++) { - mpz_import(a, len, ORDER, sizeof(gpu_register), END, 0, &results[i * len]); - mpz_import(r_1, len, ORDER, sizeof(gpu_register), END, 0, &r_1_buf[i * len]); - 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_import(ret, len, ORDER, sizeof(gpu_register), END, 0, &results[i * len]); + mpz_import(com, len, ORDER, sizeof(gpu_register), END, 0, &msg_buf[i * len]); + + if (mpz_cmp(ret,com) == 0) result += 1; - - } - gmp_printf ("ret in decimal: %Zd\n", a); - - // test reference - /* - mpz_t xyz, temp, moduloo; - mpz_init(xyz); - mpz_init(temp); - mpz_init(moduloo); - - mpz_import(xyz, len, ORDER, sizeof(gpu_register), END, 0, s_buf); - mpz_import(moduloo, len, ORDER, sizeof(gpu_register), END, 0, mod_buf); - - mpz_mul(xyz,xyz,xyz); - mpz_mod(xyz,xyz,mod); - - gmp_printf ("product: %Zd\n", xyz); - */ - mpz_t mmm; - mpz_init(mmm); - - - mpz_import(mmm, len, ORDER, sizeof(gpu_register), END, 0, msg_buf); - - gmp_printf ("mmm: %Zd\n", mmm); - - - printf(""); - mpz_clear(ret); - mpz_clear(a); - mpz_clear(r_1); - mpz_clear(mod); - - - - - - - + mpz_clear(com); if (timed) { @@ -455,7 +384,7 @@ unsigned long modmult_opencl_results(struct gpu_info *info, struct gpu_state_alt } - return 0; + return result; } @@ -531,40 +460,6 @@ 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 + sizeof(gpu_register)); // double-size, to hold multiplications, and plus the word size, for worst case of adding 2 double size words - void *tmp_2 = malloc(len * 2 + sizeof(gpu_register)); - void *tmp_3 = malloc(len * 2 + sizeof(gpu_register)); - - //void *res = malloc(len); - - memset(tmp_1, 0, len * 2 + sizeof(gpu_register)); - memset(tmp_2, 0, len * 2 + sizeof(gpu_register)); - memset(tmp_3, 0, len * 2 + sizeof(gpu_register)); - - 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, @@ -586,7 +481,6 @@ unsigned long modmult_gpu_finish(struct gpu_info *info, struct gpu_state_alt *st state->result += modmult_opencl_results(info,state,true,msg_buf,r_1_buf,n_buf, s_buf, mod_buf, n); modmult_opencl_cleanup(info); - //clReleaseMemObject(state->invalid); unsigned long res = state->result; @@ -625,7 +519,7 @@ int mont_modmult_tests(void) { memset(msg_buf, 0, digit_sz); memset(s_buf, 0, digit_sz); memset(mod_buf, 0, digit_sz); - memset(exp_buf, 0, digit_sz * sizeof(gpu_register)); + memset(exp_buf, 0, pairs * sizeof(gpu_register)); unsigned long *pks = malloc(arr_sz); diff --git 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gpu_register *u, __global gpu_re } -int square(__global gpu_register *w, __global gpu_register *x, size_t ndigits) +int square( __global gpu_register *w, __global gpu_register *x, size_t ndigits) /* New in Version 2.0 */ { /* Computes square w = x * x @@ -185,83 +181,7 @@ int square(__global gpu_register *w, __global gpu_register *x, size_t ndigits) return 0; } -gpu_register shift_r(__global gpu_register *a, __global gpu_register *b, size_t shift, size_t ndigits) -{ /* Computes a = b >> shift */ - /* [v2.1] Modified to cope with shift > BITS_PERDIGIT */ - - gpu_register carry = 0; - - while (1) { - - size_t i, y, nw, bits; - gpu_register mask, tempCarry, nextcarry; - - /* Do we shift whole digits? */ - if (shift >= BITS_PER_DIGIT) - { - nw = shift / BITS_PER_DIGIT; - for (i = 0; i < ndigits; i++) - { - if ((i+nw) < ndigits) - a[i] = b[i+nw]; - else - a[i] = 0; - } - /* Call again to shift bits inside digits */ - bits = shift % BITS_PER_DIGIT; - tempCarry = b[nw-1] >> bits; - if (bits) - carry |= tempCarry; - return carry; - } - else - { - bits = shift; - } - - /* Construct mask to set low bits */ - /* (thanks to Jesse Chisholm for suggesting this improved technique) */ - mask = ~(~(gpu_register)0 << bits); - - y = BITS_PER_DIGIT - bits; - carry = 0; - i = ndigits; - while (i--) - { - nextcarry = (b[i] & mask) << y; - a[i] = b[i] >> bits | carry; - carry = nextcarry; - } - - return carry; - - } -} - -/* - determine by how much to divide / shift - from most significant of double size number, look for first high bit. - */ - -/* -gpu_register shift_by(__global gpu_register *r, int n) { - - gpu_register u = 8 * sizeof(gpu_register); - - for (int i = n-1; i >= (n / 2); i--) - { - if (r[i] != 0) { - int k = ceil(log2((float)r[i] + (float)1)); - gpu_register total = k + i * u; - - return total - (u * (n / 2)); - } - } - - return 0; -} -*/ -gpu_register add(__global gpu_register *w, __global gpu_register *u, __global gpu_register *v, size_t ndigits) +gpu_register add( __global gpu_register *w, __global gpu_register *u, __global gpu_register *v, size_t ndigits) { /* Calculates w = u + v where w, u, v are multiprecision integers of ndigits each @@ -298,7 +218,44 @@ gpu_register add(__global gpu_register *w, __global gpu_register *u, __global gp return k; /* w_n = k */ } -void equal(__global gpu_register *a, __global gpu_register *b, size_t ndigits) +gpu_register subtract(__global gpu_register *w, __global gpu_register *u, __global 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; + + + + /* 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( __global gpu_register *a, __global gpu_register *b, size_t ndigits) { /* Sets a = b */ size_t i; @@ -308,124 +265,145 @@ void equal(__global gpu_register *a, __global gpu_register *b, size_t ndigits) } } -void erase_above(__global gpu_register *a, size_t n) + +void erase_all( __global gpu_register *a, size_t n) { - for (int i = n-1; i >= (n / 2); i--) + for (int i = 0; i < n; i++) { a[i] = 0; } } -void erase(__global gpu_register *a, size_t n) -{ +void shift_right(__global gpu_register *r, int n) { - for (int i = 0; i < n; i++) - { - a[i] = 0; + for (int i = 0; i < R+1; i++) { + + r[i] = r[i + n]; + //r[i + n] = 0; + } } +// 1 if r > l ; -1 if r < l; == 0 +int compare(__global gpu_register *r, __global gpu_register *l, int n) { + + int x = 0; + for (int i = n - 1; i >= 0; i--) { + x = r[i] > l[i]; + if (x) return 1; + x = r[i] < l[i]; + if (x) return -1; + } + return 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 +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); + multiply(tmp_1,a,b,R); + multiply(tmp_2,tmp_1,ni,R); + multiply(tmp_3,tmp_2,n,R); + + add(tmp_2,tmp_1,tmp_3,R*2+1); + + shift_right(tmp_2, R); + + erase_all(tmp_3, R+1); + equal(tmp_3, n, R); + + if (compare(tmp_2, tmp_3, R+1) >= 0) { + subtract(ret, tmp_2, tmp_3, R+1); + } else { + equal(ret, tmp_2, R); + } + } -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 +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); + square(tmp_1,a,R); + multiply(tmp_2,tmp_1,ni,R); + multiply(tmp_3,tmp_2,n,R); + + add(tmp_2,tmp_1,tmp_3,R*2+1); + + shift_right(tmp_2, R); + + erase_all(tmp_3, R+1); + equal(tmp_3, n, R); + + if (compare(tmp_2, tmp_3, R+1) >= 0) { + subtract(ret, tmp_2, tmp_3, R+1); + } else { + equal(ret, tmp_2, R); + } + + + } -__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_3, - __global gpu_register *pks//, unsigned long count // invalid is not needed either + + __kernel void mont(__global gpu_register *x, __global gpu_register *m, + __global gpu_register *res, __global gpu_register *n, + __global gpu_register *ni, __global gpu_register *exp, + __global gpu_register *tmp_1, __global gpu_register *tmp_2, __global gpu_register *tmp_3, + __global ulong *pks ) { size_t i = get_global_id(0); - int offs = 0; // the size of one number - - int pk = 0; // das funktioniert so nicht – die globale id wird grösser, ohne dass noch weitere elemente in pks sind... + ulong pk = 0; + for(int x = 0; x < pks[0]; x++) { + if (pks[pk + 1] >= i) + break; + pk++; + } -// while (1) { -// if (pks[pk] >= i) -// break; -// pk++; -// } + barrier(CLK_GLOBAL_MEM_FENCE | CLK_LOCAL_MEM_FENCE); + ulong tmp_i = (R * 2 + 1) * i; + ulong pk_i = R * pk; + ulong s_i = R * i; int k = ceil(log2((float)exp[pk] + (float)1)); - printf((char __constant *)"%i\n", k); - - barrier(CLK_GLOBAL_MEM_FENCE | CLK_LOCAL_MEM_FENCE); - for (int j = k - 1; j >= 0; j--) { - //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); - - + montSqr(&res[s_i], &x[s_i], &ni[pk_i], &n[pk_i], &tmp_1[tmp_i], &tmp_2[tmp_i], &tmp_3[tmp_i]); if (testbit(exp[pk], j)) { - equal(x, res, 32); - erase(tmp_1,64); - erase(tmp_2,64); - erase(tmp_3,64); + equal(&x[s_i], &res[s_i], R); + montMul(&res[s_i], &x[s_i], &m[s_i], &ni[pk_i], &n[pk_i], &tmp_1[tmp_i], &tmp_2[tmp_i], &tmp_3[tmp_i]); - 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(&x[s_i], &res[s_i], R); } - 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); + barrier(CLK_GLOBAL_MEM_FENCE | CLK_LOCAL_MEM_FENCE); + + erase_all(&m[s_i],R); + m[s_i] = 1; // reuse m, to convert out of montgomery + montMul(&res[s_i], &x[s_i], &m[s_i], &ni[pk_i], &n[pk_i], &tmp_1[tmp_i], &tmp_2[tmp_i], &tmp_3[tmp_i]); }