#include "gemm.h" #include "utils.h" #include "cuda.h" #include #include #include void gemm_bin(int M, int N, int K, float ALPHA, char *A, int lda, float *B, int ldb, float *C, int ldc) { int i,j,k; for(i = 0; i < M; ++i){ for(k = 0; k < K; ++k){ char A_PART = A[i*lda+k]; if(A_PART){ for(j = 0; j < N; ++j){ C[i*ldc+j] += B[k*ldb+j]; } } else { for(j = 0; j < N; ++j){ C[i*ldc+j] -= B[k*ldb+j]; } } } } } float *random_matrix(int rows, int cols) { int i; float *m = calloc(rows*cols, sizeof(float)); for(i = 0; i < rows*cols; ++i){ m[i] = (float)rand()/RAND_MAX; } return m; } void time_random_matrix(int TA, int TB, int m, int k, int n) { float *a; if(!TA) a = random_matrix(m,k); else a = random_matrix(k,m); int lda = (!TA)?k:m; float *b; if(!TB) b = random_matrix(k,n); else b = random_matrix(n,k); int ldb = (!TB)?n:k; float *c = random_matrix(m,n); int i; clock_t start = clock(), end; for(i = 0; i<10; ++i){ gemm_cpu(TA,TB,m,n,k,1,a,lda,b,ldb,1,c,n); } end = clock(); printf("Matrix Multiplication %dx%d * %dx%d, TA=%d, TB=%d: %lf ms\n",m,k,k,n, TA, TB, (float)(end-start)/CLOCKS_PER_SEC); free(a); free(b); free(c); } void gemm(int TA, int TB, int M, int N, int K, float ALPHA, float *A, int lda, float *B, int ldb, float BETA, float *C, int ldc) { gemm_cpu( TA, TB, M, N, K, ALPHA,A,lda, B, ldb,BETA,C,ldc); } //-------------------------------------------- // XNOR bitwise GEMM for binary neural network //-------------------------------------------- #include static inline unsigned char xnor(unsigned char a, unsigned char b) { //return a == b; return !(a^b); } // INT-32 static inline uint32_t get_bit_int32(uint32_t const*const src, size_t index) { size_t src_i = index / 32; int src_shift = index % 32; unsigned char val = (src[src_i] & (1 << src_shift)) > 0; return val; } static inline uint32_t xnor_int32(uint32_t a, uint32_t b) { return ~(a^b); } static inline uint64_t xnor_int64(uint64_t a, uint64_t b) { return ~(a^b); } static inline uint32_t fill_bit_int32(char src) { if (src == 0) return 0x00000000; else return 0xFFFFFFFF; } static inline uint64_t fill_bit_int64(char src) { if (src == 0) return 0x0000000000000000; else return 0xFFFFFFFFFFFFFFFF; } void binary_int32_printf(uint32_t src) { int i; for (i = 0; i < 32; ++i) { if (src & 1) printf("1"); else printf("0"); src = src >> 1; } printf("\n"); } void binary_int64_printf(uint64_t src) { int i; for (i = 0; i < 64; ++i) { if (src & 1) printf("1"); else printf("0"); src = src >> 1; } printf("\n"); } /* void gemm_nn_custom_bin_mean(int M, int N, int K, float ALPHA_UNUSED, unsigned char *A, int lda, unsigned char *B, int ldb, float *C, int ldc, float *mean_arr) { int *count_arr = calloc(M*N, sizeof(int)); int i, j, k; for (i = 0; i < M; ++i) { // l.n - filters [16 - 55 - 1024] for (k = 0; k < K; ++k) { // l.size*l.size*l.c - one filter size [27 - 9216] char a_bit = get_bit(A, i*lda + k); for (j = 0; j < N; ++j) { // out_h*out_w - one channel output size [169 - 173056] char b_bit = get_bit(B, k*ldb + j); count_arr[i*ldc + j] += xnor(a_bit, b_bit); } } } for (i = 0; i < M; ++i) { float mean_val = mean_arr[i]; for (j = 0; j < N; ++j) { C[i*ldc + j] = (2 * count_arr[i*ldc + j] - K) * mean_val; } } free(count_arr); } */ /* void gemm_nn_custom_bin_mean_transposed(int M, int N, int K, float ALPHA_UNUSED, unsigned char *A, int lda, unsigned char *B, int ldb, float *C, int ldc, float *mean_arr) { int *count_arr = calloc(M*N, sizeof(int)); int i, j, k; for (i = 0; i < M; ++i) { // l.n - filters [16 - 55 - 1024] for (j = 0; j < N; ++j) { // out_h*out_w - one channel output size [169 - 173056] for (k = 0; k < K; ++k) { // l.size*l.size*l.c - one filter size [27 - 9216] char a_bit = get_bit(A, i*lda + k); char b_bit = get_bit(B, j*ldb + k); count_arr[i*ldc + j] += xnor(a_bit, b_bit); } } } for (i = 0; i < M; ++i) { float mean_val = mean_arr[i]; for (j = 0; j < N; ++j) { C[i*ldc + j] = (2 * count_arr[i*ldc + j] - K) * mean_val; } } free(count_arr); } */ /* void gemm_nn_custom_bin_mean(int M, int N, int K, float ALPHA_UNUSED, unsigned char *A, int lda, unsigned char *B, int ldb, float *C, int ldc, float *mean_arr) { int *count_arr = calloc(M*N, sizeof(int)); int i, j, k, h; #pragma omp parallel for for (i = 0; i < M; ++i) { // l.n - filters [16 - 55 - 1024] for (k = 0; k < K; ++k) { // l.size*l.size*l.c - one filter size [27 - 9216] const char a_bit = get_bit(A, i*lda + k); uint64_t a_bit64 = fill_bit_int64(a_bit); int k_ldb = k*ldb; for (j = 0; j < N; j += 64) { // out_h*out_w - one channel output size [169 - 173056] if ((N - j > 64) && (k_ldb % 8 == 0)) { uint64_t b_bit64 = *((uint64_t *)(B + (k_ldb + j) / 8)); uint64_t c_bit64 = xnor_int64(a_bit64, b_bit64); //printf("\n %d \n",__builtin_popcountll(c_bit64)); // gcc printf("\n %d \n", __popcnt64(c_bit64)); // msvs int h; for (h = 0; h < 64; ++h) if ((c_bit64 >> h) & 1) count_arr[i*ldc + j + h] += 1; //binary_int64_printf(a_bit64); //binary_int64_printf(b_bit64); //binary_int64_printf(c_bit64); } else { for (; j < N; ++j) { // out_h*out_w - one channel output size [169 - 173056] char b_bit = get_bit(B, k_ldb + j); if (xnor(a_bit, b_bit)) count_arr[i*ldc + j] += 1; } } } } } if (mean_arr) { //int K_2 = K / 2; for (i = 0; i < M; ++i) { float mean_val = mean_arr[i]; //float mean_val2 = 2 * mean_val; for (j = 0; j < N; ++j) { C[i*ldc + j] = (2 * count_arr[i*ldc + j] - K) * mean_val; //C[i*ldc + j] = (count_arr[i*ldc + j] - K_2) *mean_val2; } } } else { for (i = 0; i < M; ++i) { for (j = 0; j < N; ++j) { C[i*ldc + j] = count_arr[i*ldc + j] - K / 2; } } } free(count_arr); //getchar(); } */ /* void gemm_nn_custom_bin_mean_transposed(int M, int N, int K, float ALPHA_UNUSED, unsigned char *A, int lda, unsigned char *B, int ldb, float *C, int ldc, float *mean_arr) { int i, j, k, h; #pragma omp parallel for for (i = 0; i < M; ++i) { // l.n - filters [16 - 55 - 1024] float mean_val = mean_arr[i]; for (j = 0; j < N; ++j) { // out_h*out_w - one channel output size [169 - 173056] int count = 0; for (k = 0; k < K; k += 64) { // l.size*l.size*l.c - one filter size [27 - 9216] uint64_t a_bit64 = *((uint64_t *)(A + (i*lda + k) / 8)); uint64_t b_bit64 = *((uint64_t *)(B + (j*ldb + k) / 8)); uint64_t c_bit64 = xnor_int64(a_bit64, b_bit64); #ifdef WIN32 int tmp_count = __popcnt64(c_bit64); #else int tmp_count = __builtin_popcountll(c_bit64); #endif if (K - k < 64) tmp_count = tmp_count - (64 - (K - k)); // remove extra bits count += tmp_count; //binary_int64_printf(c_bit64); //printf(", count = %d \n\n", tmp_count); } C[i*ldc + j] = (2 * count - K) * mean_val; } } } */ //---------------------------- #if (defined(__AVX__) && defined(__x86_64__)) || defined(_WIN64) #define OSXSAVEFlag (1UL<<27) #define AVXFlag ((1UL<<28)|OSXSAVEFlag) #define FMAFlag ((1UL<<12)|AVXFlag|OSXSAVEFlag) #define CLMULFlag ((1UL<< 1)|AVXFlag|OSXSAVEFlag) #define VAESFlag ((1UL<<25)|AVXFlag|OSXSAVEFlag) #ifdef _WIN64 #include #include #include #include #else // Linux GCC/Clang #include #include #include #include #include void asm_cpuid(uint32_t* abcd, uint32_t eax) { uint32_t ebx = 0, edx = 0, ecx = 0; // EBX is saved to EDI and later restored __asm__("movl %%ebx, %%edi;" "cpuid;" "xchgl %%ebx, %%edi;" : "=D"(ebx), "+a"(eax), "+c"(ecx), "=d"(edx)); abcd[0] = eax; abcd[1] = ebx; abcd[2] = ecx; abcd[3] = edx; } #endif int simd_detect_x86(unsigned int idFeature) { uint32_t regs[4]; // EAX, EBX, ECX, EDX; #ifdef _WIN32 __cpuid(regs, 0); if (regs[0] > 1U) __cpuid(regs, 1); #else __get_cpuid(0, ®s[0], ®s[1], ®s[2], ®s[3]); if(regs[0] > 1U) __get_cpuid(1, ®s[0], ®s[1], ®s[2], ®s[3]); #endif if ((regs[2] & idFeature) != idFeature) return 0; return 1; } int is_fma_avx() { static int result = -1; if (result == -1) { result = simd_detect_x86(AVXFlag); if (result == 1) printf(" Used AVX \n"); else printf(" Not used AVX \n"); } return result; } // https://software.intel.com/sites/landingpage/IntrinsicsGuide void gemm_nn(int M, int N, int K, float ALPHA, float *A, int lda, float *B, int ldb, float *C, int ldc) { int i, j, k; if (is_fma_avx() == 1) { // AVX for (i = 0; i < M; ++i) { for (k = 0; k < K; ++k) { float A_PART = ALPHA*A[i*lda + k]; __m256 a256, b256, c256, result256; // AVX a256 = _mm256_set1_ps(A_PART); for (j = 0; j < N - 8; j += 8) { b256 = _mm256_loadu_ps(&B[k*ldb + j]); c256 = _mm256_loadu_ps(&C[i*ldc + j]); // FMA - Intel Haswell (2013), AMD Piledriver (2012) //result256 = _mm256_fmadd_ps(a256, b256, c256); result256 = _mm256_mul_ps(a256, b256); result256 = _mm256_add_ps(result256, c256); _mm256_storeu_ps(&C[i*ldc + j], result256); } int prev_end = (N % 8 == 0) ? (N - 8) : (N / 8) * 8; for (j = prev_end; j < N; ++j) C[i*ldc + j] += A_PART*B[k*ldb + j]; } } } else { for (i = 0; i < M; ++i) { for (k = 0; k < K; ++k) { register float A_PART = ALPHA*A[i*lda + k]; for (j = 0; j < N; ++j) { C[i*ldc + j] += A_PART*B[k*ldb + j]; } /* // SSE __m128 a128, b128, c128, result128; // SSE a128 = _mm_set1_ps(A_PART); for (j = 0; j < N - 4; j += 4) { b128 = _mm_loadu_ps(&B[k*ldb + j]); c128 = _mm_loadu_ps(&C[i*ldc + j]); //result128 = _mm_fmadd_ps(a128, b128, c128); result128 = _mm_mul_ps(a128, b128); result128 = _mm_add_ps(result128, c128); _mm_storeu_ps(&C[i*ldc + j], result128); } int prev_end = (N % 4 == 0) ? (N - 4) : (N / 4) * 4; for (j = prev_end; j < N; ++j){ C[i*ldc + j] += A_PART*B[k*ldb + j]; } */ } } } } // http://graphics.stanford.edu/~seander/bithacks.html // https://stackoverflow.com/questions/17354971/fast-counting-the-number-of-set-bits-in-m128i-register // 2 x faster than popcnt: https://arxiv.org/pdf/1611.07612.pdf static inline int popcnt128(__m128i n) { const __m128i n_hi = _mm_unpackhi_epi64(n, n); #ifdef _MSC_VER return __popcnt64(_mm_cvtsi128_si64(n)) + __popcnt64(_mm_cvtsi128_si64(n_hi)); #else return __popcntq(_mm_cvtsi128_si64(n)) + __popcntq(_mm_cvtsi128_si64(n_hi)); #endif } static inline int popcnt256(__m256i n) { return popcnt128(_mm256_extractf128_si256(n, 0)) + popcnt128(_mm256_extractf128_si256(n, 1)); } void gemm_nn_custom_bin_mean_transposed(int M, int N, int K, float ALPHA_UNUSED, unsigned char *A, int lda, unsigned char *B, int ldb, float *C, int ldc, float *mean_arr) { __m256i all_1 = _mm256_set1_epi8(255); int i, j, k, h; #pragma omp parallel for for (i = 0; i < M; ++i) { // l.n - filters [16 - 55 - 1024] float mean_val = mean_arr[i]; for (j = 0; j < N; ++j) { // out_h*out_w - one channel output size [169 - 173056] int count = 0; const int bit_step = 256; for (k = 0; k < K; k += bit_step) { // l.size*l.size*l.c - one filter size [27 - 9216] //__m128i a_bit128 = _mm_loadu_si128((__m128i *)(A + (i*lda + k) / 8)); //__m128i b_bit128 = _mm_loadu_si128((__m128i *)(B + (j*ldb + k) / 8)); //__m128i xor128 = _mm_xor_si128(a_bit128, b_bit128); //__m128i c_bit128 = _mm_andnot_si128(xor128, all_1); //int tmp_count = popcnt128(c_bit128); __m256i a_bit256 = _mm256_loadu_si256((__m256i *)(A + (i*lda + k) / 8)); __m256i b_bit256 = _mm256_loadu_si256((__m256i *)(B + (j*ldb + k) / 8)); __m256i xor256 = _mm256_xor_si256(a_bit256, b_bit256); __m256i c_bit256 = _mm256_andnot_si256(xor256, all_1); //we can do NOT for wegihts once and do not do this NOT int tmp_count = popcnt256(c_bit256); if (K - k < bit_step) tmp_count = tmp_count - (bit_step - (K - k)); // remove extra bits count += tmp_count; //binary_int64_printf(c_bit64); //printf(", count = %d \n\n", tmp_count); } C[i*ldc + j] = (2 * count - K) * mean_val; } } } void float_to_bit(float *src, unsigned char *dst, size_t size) { size_t dst_size = size / 8 + 1; memset(dst, 0, dst_size); size_t i; __m128i all128_0 = _mm_set_epi32(0, 0, 0, 0); __m256 all256_0 = _mm256_set1_ps(0); __m256i bits_asc = _mm256_set_epi32(1, 2, 4, 8, 16, 32, 64, 128); //for(i = 0; i < 8; ++i) bits_asc.m256i_i32[i] = 1 << i; for (i = 0; i < size; i+=8) { __m256 src256 = _mm256_loadu_ps((__m256i *)(&src[i])); // load 256 bits __m256 result256 = _mm256_cmp_ps(src256, all256_0, _CMP_GT_OS); // compare dst[i] = (float[i] > 0) __m256i bits256 = _mm256_castps_si256(result256); // floats to ints32 __m256i and256 = _mm256_and_si256(bits256, bits_asc); // bitwise and // sum all elements from single and256 __m128i tmp128 = _mm_hadd_epi32(_mm256_extractf128_si256(and256, 0), _mm256_extractf128_si256(and256, 1)); tmp128 = _mm_hadd_epi32(tmp128, all128_0); tmp128 = _mm_hadd_epi32(tmp128, all128_0); dst[i / 8] = tmp128.m128i_i32[0]; } // int _mm256_movemask_epi8 (__m256i a) } #else void gemm_nn(int M, int N, int K, float ALPHA, float *A, int lda, float *B, int ldb, float *C, int ldc) { int i, j, k; for (i = 0; i < M; ++i) { for (k = 0; k < K; ++k) { register float A_PART = ALPHA*A[i*lda + k]; for (j = 0; j < N; ++j) { C[i*ldc + j] += A_PART*B[k*ldb + j]; } } } } void gemm_nn_custom_bin_mean_transposed(int M, int N, int K, float ALPHA_UNUSED, unsigned char *A, int lda, unsigned char *B, int ldb, float *C, int ldc, float *mean_arr) { int i, j, k, h; #pragma omp parallel for for (i = 0; i < M; ++i) { // l.n - filters [16 - 55 - 1024] float mean_val = mean_arr[i]; for (j = 0; j < N; ++j) { // out_h*out_w - one channel output size [169 - 173056] int count = 0; for (k = 0; k < K; k += 64) { // l.size*l.size*l.c - one filter size [27 - 9216] uint64_t a_bit64 = *((uint64_t *)(A + (i*lda + k) / 8)); uint64_t b_bit64 = *((uint64_t *)(B + (j*ldb + k) / 8)); uint64_t c_bit64 = xnor_int64(a_bit64, b_bit64); #ifdef WIN32 int tmp_count = __popcnt64(c_bit64); #else int tmp_count = __builtin_popcountll(c_bit64); #endif if (K - k < 64) tmp_count = tmp_count - (64 - (K - k)); // remove extra bits count += tmp_count; //binary_int64_printf(c_bit64); //printf(", count = %d \n\n", tmp_count); } C[i*ldc + j] = (2 * count - K) * mean_val; } } } void float_to_bit(float *src, unsigned char *dst, size_t size) { size_t dst_size = size / 8 + 1; memset(dst, 0, dst_size); size_t i; char *byte_arr = calloc(size, sizeof(char)); for (i = 0; i < size; ++i) { if (src[i] > 0) byte_arr[i] = 1; } //for (i = 0; i < size; ++i) { // dst[i / 8] |= byte_arr[i] << (i % 8); //} for (i = 0; i < size; i += 8) { char dst_tmp = 0; dst_tmp |= byte_arr[i + 0] << 0; dst_tmp |= byte_arr[i + 1] << 1; dst_tmp |= byte_arr[i + 2] << 2; dst_tmp |= byte_arr[i + 3] << 3; dst_tmp |= byte_arr[i + 4] << 4; dst_tmp |= byte_arr[i + 5] << 5; dst_tmp |= byte_arr[i + 6] << 6; dst_tmp |= byte_arr[i + 7] << 7; dst[i / 8] = dst_tmp; } free(byte_arr); } #endif // __x86_64 void gemm_nt(int M, int N, int K, float ALPHA, float *A, int lda, float *B, int ldb, float *C, int ldc) { int i,j,k; for(i = 0; i < M; ++i){ for(j = 0; j < N; ++j){ register float sum = 0; for(k = 0; k < K; ++k){ sum += ALPHA*A[i*lda+k]*B[j*ldb + k]; } C[i*ldc+j] += sum; } } } void gemm_tn(int M, int N, int K, float ALPHA, float *A, int lda, float *B, int ldb, float *C, int ldc) { int i,j,k; for(i = 0; i < M; ++i){ for(k = 0; k < K; ++k){ register float A_PART = ALPHA*A[k*lda+i]; for(j = 0; j < N; ++j){ C[i*ldc+j] += A_PART*B[k*ldb+j]; } } } } void gemm_tt(int M, int N, int K, float ALPHA, float *A, int lda, float *B, int ldb, float *C, int ldc) { int i,j,k; for(i = 0; i < M; ++i){ for(j = 0; j < N; ++j){ register float sum = 0; for(k = 0; k < K; ++k){ sum += ALPHA*A[i+k*lda]*B[k+j*ldb]; } C[i*ldc+j] += sum; } } } void gemm_cpu(int TA, int TB, int M, int N, int K, float ALPHA, float *A, int lda, float *B, int ldb, float BETA, float *C, int ldc) { //printf("cpu: %d %d %d %d %d %f %d %d %f %d\n",TA, TB, M, N, K, ALPHA, lda, ldb, BETA, ldc); if (BETA != 1){ int i, j; for(i = 0; i < M; ++i){ for(j = 0; j < N; ++j){ C[i*ldc + j] *= BETA; } } } int t; #pragma omp parallel for for (t = 0; t < M; ++t) { if (!TA && !TB) gemm_nn(1, N, K, ALPHA, A + t*lda, lda, B, ldb, C + t*ldc, ldc); else if (TA && !TB) gemm_tn(1, N, K, ALPHA, A + t, lda, B, ldb, C + t*ldc, ldc); else if (!TA && TB) gemm_nt(1, N, K, ALPHA, A + t*lda, lda, B, ldb, C + t*ldc, ldc); else gemm_tt(1, N, K, ALPHA, A + t, lda, B, ldb, C + t*ldc, ldc); } } #ifdef GPU #include void gemm_ongpu(int TA, int TB, int M, int N, int K, float ALPHA, float *A_gpu, int lda, float *B_gpu, int ldb, float BETA, float *C_gpu, int ldc) { cublasHandle_t handle = blas_handle(); cudaError_t stream_status = cublasSetStream(handle, get_cuda_stream()); cudaError_t status = cublasSgemm(handle, (TB ? CUBLAS_OP_T : CUBLAS_OP_N), (TA ? CUBLAS_OP_T : CUBLAS_OP_N), N, M, K, &ALPHA, B_gpu, ldb, A_gpu, lda, &BETA, C_gpu, ldc); check_error(status); } void gemm_gpu(int TA, int TB, int M, int N, int K, float ALPHA, float *A, int lda, float *B, int ldb, float BETA, float *C, int ldc) { float *A_gpu = cuda_make_array(A, (TA ? lda*K:lda*M)); float *B_gpu = cuda_make_array(B, (TB ? ldb*N : ldb*K)); float *C_gpu = cuda_make_array(C, ldc*M); gemm_ongpu(TA, TB, M, N, K, ALPHA, A_gpu, lda, B_gpu, ldb, BETA, C_gpu, ldc); cuda_pull_array(C_gpu, C, ldc*M); cuda_free(A_gpu); cuda_free(B_gpu); cuda_free(C_gpu); } #include #include #include #include void time_gpu_random_matrix(int TA, int TB, int m, int k, int n) { float *a; if(!TA) a = random_matrix(m,k); else a = random_matrix(k,m); int lda = (!TA)?k:m; float *b; if(!TB) b = random_matrix(k,n); else b = random_matrix(n,k); int ldb = (!TB)?n:k; float *c = random_matrix(m,n); int i; clock_t start = clock(), end; for(i = 0; i<32; ++i){ gemm_gpu(TA,TB,m,n,k,1,a,lda,b,ldb,1,c,n); } end = clock(); printf("Matrix Multiplication %dx%d * %dx%d, TA=%d, TB=%d: %lf s\n",m,k,k,n, TA, TB, (float)(end-start)/CLOCKS_PER_SEC); free(a); free(b); free(c); } void time_ongpu(int TA, int TB, int m, int k, int n) { int iter = 10; float *a = random_matrix(m,k); float *b = random_matrix(k,n); int lda = (!TA)?k:m; int ldb = (!TB)?n:k; float *c = random_matrix(m,n); float *a_cl = cuda_make_array(a, m*k); float *b_cl = cuda_make_array(b, k*n); float *c_cl = cuda_make_array(c, m*n); int i; clock_t start = clock(), end; for(i = 0; i