#include using namespace metal; #define MAX(x, y) ((x) > (y) ? (x) : (y)) #define QK4_0 32 #define QR4_0 2 typedef struct { half d; // delta uint8_t qs[QK4_0 / 2]; // nibbles / quants } block_q4_0; #define QK4_1 32 typedef struct { half d; // delta half m; // min uint8_t qs[QK4_1 / 2]; // nibbles / quants } block_q4_1; static void dequantize_row_q4_0(device const block_q4_0 * x, device float * y, int k) { const int qk = QK4_0; assert(k % qk == 0); const int nb = k / qk; for (int i = 0; i < nb; i++) { const half d = x[i].d; for (int j = 0; j < qk/2; ++j) { const int x0 = (x[i].qs[j] & 0x0F) - 8; const int x1 = (x[i].qs[j] >> 4) - 8; y[i*qk + j + 0 ] = x0*d; y[i*qk + j + qk/2] = x1*d; } } } static void dequantize_row_q4_1(device const block_q4_1 * x, device float * y, int k) { const int qk = QK4_1; assert(k % qk == 0); const int nb = k / qk; for (int i = 0; i < nb; i++) { const half d = x[i].d; const half m = x[i].m; for (int j = 0; j < qk/2; ++j) { const int x0 = (x[i].qs[j] & 0x0F); const int x1 = (x[i].qs[j] >> 4); y[i*qk + j + 0 ] = x0*d + m; y[i*qk + j + qk/2] = x1*d + m; } } } kernel void kernel_add( device const float * src0, device const float * src1, device float * dst, uint tpig[[thread_position_in_grid]]) { dst[tpig] = src0[tpig] + src1[tpig]; } kernel void kernel_mul( device const float * src0, device const float * src1, device float * dst, uint tpig[[thread_position_in_grid]]) { dst[tpig] = src0[tpig] * src1[tpig]; } // assumption: src1 is a row // broadcast src1 into src0 kernel void kernel_mul_row( device const float * src0, device const float * src1, device float * dst, constant int64_t & ne00, uint tpig[[thread_position_in_grid]]) { dst[tpig] = src0[tpig] * src1[tpig % ne00]; } kernel void kernel_scale( device const float * src0, device float * dst, constant float & scale, uint tpig[[thread_position_in_grid]]) { dst[tpig] = src0[tpig] * scale; } kernel void kernel_silu( device const float * src0, device float * dst, uint tpig[[thread_position_in_grid]]) { float x = src0[tpig]; dst[tpig] = x / (1.0f + exp(-x)); } kernel void kernel_relu( device const float * src0, device float * dst, uint tpig[[thread_position_in_grid]]) { dst[tpig] = max(0.0f, src0[tpig]); } constant float GELU_COEF_A = 0.044715f; constant float SQRT_2_OVER_PI = 0.79788456080286535587989211986876f; kernel void kernel_gelu( device const float * src0, device float * dst, uint tpig[[thread_position_in_grid]]) { float x = src0[tpig]; dst[tpig] = 0.5f*x*(1.0f + tanh(SQRT_2_OVER_PI*x*(1.0f + GELU_COEF_A*x*x))); } kernel void kernel_soft_max( device const float * src0, device float * dst, constant int64_t & ne00, constant int64_t & ne01, constant int64_t & ne02, threadgroup float * buf [[threadgroup(0)]], uint3 tgpig[[threadgroup_position_in_grid]], uint3 tpitg[[thread_position_in_threadgroup]], uint3 ntg[[threads_per_threadgroup]]) { const int64_t i03 = tgpig[2]; const int64_t i02 = tgpig[1]; const int64_t i01 = tgpig[0]; device const float * psrc0 = src0 + i03*ne02*ne01*ne00 + i02*ne01*ne00 + i01*ne00; device float * pdst = dst + i03*ne02*ne01*ne00 + i02*ne01*ne00 + i01*ne00; // parallel max buf[tpitg[0]] = -INFINITY; for (int i00 = tpitg[0]; i00 < ne00; i00 += ntg[0]) { buf[tpitg[0]] = MAX(buf[tpitg[0]], psrc0[i00]); } // reduce threadgroup_barrier(mem_flags::mem_threadgroup); for (uint i = ntg[0]/2; i > 0; i /= 2) { if (tpitg[0] < i) { buf[tpitg[0]] = MAX(buf[tpitg[0]], buf[tpitg[0] + i]); } threadgroup_barrier(mem_flags::mem_threadgroup); } // broadcast if (tpitg[0] == 0) { buf[0] = buf[0]; } threadgroup_barrier(mem_flags::mem_threadgroup); const float max = buf[0]; // parallel sum buf[tpitg[0]] = 0.0f; for (int i00 = tpitg[0]; i00 < ne00; i00 += ntg[0]) { buf[tpitg[0]] += exp(psrc0[i00] - max); } // reduce threadgroup_barrier(mem_flags::mem_threadgroup); for (uint i = ntg[0]/2; i > 0; i /= 2) { if (tpitg[0] < i) { buf[tpitg[0]] += buf[tpitg[0] + i]; } threadgroup_barrier(mem_flags::mem_threadgroup); } // broadcast if (tpitg[0] == 0) { buf[0] = buf[0]; } threadgroup_barrier(mem_flags::mem_threadgroup); const float sum = buf[0]; for (int i00 = tpitg[0]; i00 < ne00; i00 += ntg[0]) { pdst[i00] = exp(psrc0[i00] - max) / sum; } } kernel void kernel_diag_mask_inf( device const float * src0, device float * dst, constant int64_t & ne00, constant int64_t & ne01, constant int & n_past, uint3 tpig[[thread_position_in_grid]]) { const int64_t i02 = tpig[2]; const int64_t i01 = tpig[1]; const int64_t i00 = tpig[0]; if (i00 > n_past + i01) { dst[i02*ne01*ne00 + i01*ne00 + i00] = -INFINITY; } else { dst[i02*ne01*ne00 + i01*ne00 + i00] = src0[i02*ne01*ne00 + i01*ne00 + i00]; } } kernel void kernel_get_rows_f16( device const void * src0, device const int * src1, device float * dst, constant int64_t & ne00, constant uint64_t & nb01, constant uint64_t & nb1, uint tpig[[thread_position_in_grid]]) { const int i = tpig; const int r = ((device int32_t *) src1)[i]; for (int j = 0; j < ne00; j++) { dst[i*nb1 + j] = ((device half *) ((device char *) src0 + r*nb01))[j]; } } kernel void kernel_get_rows_q4_0( device const void * src0, device const int * src1, device float * dst, constant int64_t & ne00, constant uint64_t & nb01, constant uint64_t & nb1, uint tpig[[thread_position_in_grid]]) { const int i = tpig; const int r = ((device int32_t *) src1)[i]; dequantize_row_q4_0( (device const block_q4_0 *) ((device char *) src0 + r*nb01), (device float *) ((device char *) dst + i*nb1), ne00); } kernel void kernel_get_rows_q4_1( device const void * src0, device const int * src1, device float * dst, constant int64_t & ne00, constant uint64_t & nb01, constant uint64_t & nb1, uint tpig[[thread_position_in_grid]]) { const int i = tpig; const int r = ((device int32_t *) src1)[i]; dequantize_row_q4_1( (device const block_q4_1 *) ((device char *) src0 + r*nb01), (device float *) ((device char *) dst + i*nb1), ne00); } kernel void kernel_norm( device const void * src0, device float * dst, constant int64_t & ne00, constant uint64_t & nb01, constant float & eps, threadgroup float * sum [[threadgroup(0)]], uint tgpig[[threadgroup_position_in_grid]], uint tpitg[[thread_position_in_threadgroup]], uint ntg[[threads_per_threadgroup]]) { device const float * x = (device const float *) ((device const char *) src0 + tgpig*nb01); // MEAN // parallel sum sum[tpitg] = 0.0f; for (int i00 = tpitg; i00 < ne00; i00 += ntg) { sum[tpitg] += x[i00]; } // reduce threadgroup_barrier(mem_flags::mem_threadgroup); for (uint i = ntg/2; i > 0; i /= 2) { if (tpitg < i) { sum[tpitg] += sum[tpitg + i]; } threadgroup_barrier(mem_flags::mem_threadgroup); } // broadcast if (tpitg == 0) { sum[0] /= ne00; } threadgroup_barrier(mem_flags::mem_threadgroup); const float mean = sum[0]; // recenter device float * y = dst + tgpig*ne00; for (int i00 = tpitg; i00 < ne00; i00 += ntg) { y[i00] = x[i00] - mean; } // VARIANCE // parallel sum sum[tpitg] = 0.0f; for (int i00 = tpitg; i00 < ne00; i00 += ntg) { sum[tpitg] += y[i00] * y[i00]; } // reduce threadgroup_barrier(mem_flags::mem_threadgroup); for (uint i = ntg/2; i > 0; i /= 2) { if (tpitg < i) { sum[tpitg] += sum[tpitg + i]; } threadgroup_barrier(mem_flags::mem_threadgroup); } // broadcast if (tpitg == 0) { sum[0] /= ne00; } threadgroup_barrier(mem_flags::mem_threadgroup); const float variance = sum[0]; const float scale = 1.0f/sqrt(variance + eps); for (int i00 = tpitg; i00 < ne00; i00 += ntg) { y[i00] = y[i00] * scale; } } kernel void kernel_rms_norm( device const void * src0, device float * dst, constant int64_t & ne00, constant uint64_t & nb01, constant float & eps, threadgroup float * sum [[threadgroup(0)]], uint tgpig[[threadgroup_position_in_grid]], uint tpitg[[thread_position_in_threadgroup]], uint sgitg[[simdgroup_index_in_threadgroup]], uint tiisg[[thread_index_in_simdgroup]], uint ntg[[threads_per_threadgroup]]) { device const float4 * x = (device const float4 *) ((device const char *) src0 + tgpig*nb01); device const float * x_scalar = (device const float *) x; float4 sumf=0; float all_sum=0; // parallel sum for (int i00 = tpitg; i00 < ne00/4; i00 += ntg) { sumf += x[i00] * x[i00]; } all_sum = sumf[0] + sumf[1] + sumf[2] + sumf[3]; all_sum = simd_sum(all_sum); if (tiisg == 0) { sum[sgitg] = all_sum; } threadgroup_barrier(mem_flags::mem_threadgroup); // broadcast, simd group number is ntg / 32 for (int i = ntg / 32 / 2; i > 0; i /= 2) { if (tpitg < i) { sum[tpitg] += sum[tpitg + i]; } } if (tpitg == 0) { for (int i = 4 * (ne00 / 4); i < ne00; i++) {sum[0] += x_scalar[i];} sum[0] /= ne00; } threadgroup_barrier(mem_flags::mem_threadgroup); const float mean = sum[0]; const float scale = 1.0f/sqrt(mean + eps); device float4 * y = (device float4 *) (dst + tgpig*ne00); device float * y_scalar = (device float *) y; for (int i00 = tpitg; i00 < ne00/4; i00 += ntg) { y[i00] = x[i00] * scale; } if (tpitg == 0) { for (int i00 = 4 * (ne00 / 4); i00 < ne00; i00++) {y_scalar[i00] = x_scalar[i00] * scale;} } } // function for calculate inner product between a q4_0 block and 32 floats (yl), sumy is SUM(yl[i]) float block_q_n_dot_y(device const block_q4_0 * qb_curr, float sumy, thread float * yl) { float d = qb_curr->d; float4 acc = 0.f; device uint16_t * qs = ((device uint16_t *)qb_curr + 1); for (int i = 0; i < 16; i+=2) { acc[0] += yl[i] * (qs[i / 2] & 0x000F); acc[1] += yl[i + 16] * (qs[i / 2] & 0x00F0); acc[2] += yl[i + 1] * (qs[i / 2] & 0x0F00); acc[3] += yl[i + 17] * (qs[i / 2] & 0xF000); } return d * (sumy * -8.f + acc[0] + acc[1]/16.f + acc[2]/256.f + acc[3]/4096.f); } // function for calculate inner product between a q4_1 block and 32 floats (yl), sumy is SUM(yl[i]) float block_q_n_dot_y(device const block_q4_1 * qb_curr, float sumy, thread float * yl) { float d = qb_curr->d; float m = qb_curr->m; float4 acc = 0.f; device uint16_t * qs = ((device uint16_t *)qb_curr + 2); for (int i = 0; i < 16; i+=2) { acc[0] += yl[i] * (qs[i / 2] & 0x000F); acc[1] += yl[i + 16] * (qs[i / 2] & 0x00F0); acc[2] += yl[i + 1] * (qs[i / 2] & 0x0F00); acc[3] += yl[i + 17] * (qs[i / 2] & 0xF000); } return d * (acc[0] + acc[1]/16.f + acc[2]/256.f + acc[3]/4096.f) + sumy * m; } // putting them in the kernel cause a significant performance penalty #define N_DST 4 // each SIMD group works on 4 rows #define N_SIMDGROUP 2 // number of SIMD groups in a thread group #define N_SIMDWIDTH 32 // assuming SIMD group size is 32 template void mul_vec_q_n_f32(device const void * src0, device const float * src1, device float * dst, int64_t ne00, int64_t ne10, int64_t ne0, int64_t ne01, uint2 tgpig, uint tiisg, uint sgitg) { const int nb = ne00/QK4_0; const int r0 = tgpig.x; const int r1 = tgpig.y; device const block_q_type * x = (device const block_q_type *) src0 + (r0 * N_SIMDGROUP + sgitg) * N_DST * nb; device const float * y = (device const float *) src1 + r1*ne10; float4 y_curr[8]; // src1 vector cache float sumf[N_DST]={0.f}, all_sum; thread float * yl=(thread float *)y_curr; // each thread in a SIMD group deals with 1 block. for (int column = 0; column < nb / N_SIMDWIDTH; column++) { float sumy = 0; for (int i = 0; i < QK4_0 / 4; i++) { y_curr[i] = *((device float4 *)(y + N_SIMDWIDTH * (tiisg + column * QK4_0)) + i); sumy += y_curr[i][0] + y_curr[i][1] + y_curr[i][2] + y_curr[i][3]; } for (int row = 0; row < N_DST; row++) { sumf[row] += block_q_n_dot_y(x+(tiisg + row * nb + column * N_SIMDWIDTH), sumy, yl); } } // from now loads two rows every time and 16 blocks per row int ir = tiisg / (N_SIMDWIDTH / 2); int ib = tiisg % (N_SIMDWIDTH / 2); for (int ind = 0; ind < (nb % N_SIMDWIDTH + N_SIMDWIDTH / 2 - 1)/(N_SIMDWIDTH / 2); ind++) { int nb_start = (nb / N_SIMDWIDTH) * N_SIMDWIDTH + ind * (N_SIMDWIDTH / 2); //where the left blocks start float sumy = 0; for (int i = 0; i < QK4_0 / 4; i++) { y_curr[i] = *((device float4 *)(y + (nb_start + ib) * QK4_0) + i); sumy += y_curr[i][0] + y_curr[i][1] + y_curr[i][2] + y_curr[i][3]; } for (int row = 0; row < N_DST; row+=2) { if (nb_start + ib < nb) { sumf[row + ir] += block_q_n_dot_y(x + (nb_start + ib + (row + ir) * nb), sumy, yl); } } } for (int row = 0; row < N_DST; ++row) { all_sum = simd_sum(sumf[row]); if (tiisg == 0 && ((r0 * N_SIMDGROUP + sgitg) * N_DST + row) < ne01) { dst[r1*ne0 + (r0 * N_SIMDGROUP + sgitg) * N_DST + row] = all_sum; } } } kernel void kernel_mul_mat_q4_0_f32( device const void * src0, device const float * src1, device float * dst, constant int64_t & ne00, constant int64_t & ne10, constant int64_t & ne0, constant int64_t & ne01[[buffer(4)]], uint2 tgpig[[threadgroup_position_in_grid]], uint tiisg[[thread_index_in_simdgroup]], uint sgitg[[simdgroup_index_in_threadgroup]]) { mul_vec_q_n_f32(src0,src1,dst,ne00,ne10,ne0,ne01,tgpig,tiisg,sgitg); } kernel void kernel_mul_mat_q4_1_f32( device const void * src0, device const float * src1, device float * dst, constant int64_t & ne00, constant int64_t & ne10, constant int64_t & ne0, constant int64_t & ne01[[buffer(4)]], uint2 tgpig[[threadgroup_position_in_grid]], uint tiisg[[thread_index_in_simdgroup]], uint sgitg[[simdgroup_index_in_threadgroup]]) { mul_vec_q_n_f32(src0,src1,dst,ne00,ne10,ne0,ne01,tgpig,tiisg,sgitg); } kernel void kernel_mul_mat_f16_f32( device const char * src0, device const char * src1, device float * dst, constant int64_t & ne00, constant int64_t & ne01, constant uint64_t & nb00, constant uint64_t & nb01, constant uint64_t & nb02, constant int64_t & ne10, constant int64_t & ne11, constant uint64_t & nb10, constant uint64_t & nb11, constant uint64_t & nb12, constant int64_t & ne0, constant int64_t & ne1, threadgroup float * sum [[threadgroup(0)]], uint3 tgpig[[threadgroup_position_in_grid]], uint3 tpig[[thread_position_in_grid]], uint3 tpitg[[thread_position_in_threadgroup]], uint3 tptg[[threads_per_threadgroup]]) { const int64_t r0 = tgpig.x; const int64_t r1 = tgpig.y; const int64_t im = tgpig.z; device const half * x = (device const half *) (src0 + r0*nb01 + im*nb02); device const float * y = (device const float *) (src1 + r1*nb11 + im*nb12); sum[tpitg.x] = 0.0f; for (int i = tpitg.x; i < ne00; i += tptg.x) { sum[tpitg.x] += (float) x[i] * (float) y[i]; } // accumulate the sum from all threads in the threadgroup threadgroup_barrier(mem_flags::mem_threadgroup); for (uint i = tptg.x/2; i > 0; i /= 2) { if (tpitg.x < i) { sum[tpitg.x] += sum[tpitg.x + i]; } threadgroup_barrier(mem_flags::mem_threadgroup); } if (tpitg.x == 0) { dst[im*ne1*ne0 + r1*ne0 + r0] = sum[0]; } } kernel void kernel_alibi_f32( device const float * src0, device float * dst, constant int64_t & ne00, constant int64_t & ne01, constant int64_t & ne02, constant int64_t & ne03, constant uint64_t & nb00, constant uint64_t & nb01, constant uint64_t & nb02, constant uint64_t & nb03, constant int64_t & ne0, constant int64_t & ne1, constant int64_t & ne2, constant int64_t & ne3, constant uint64_t & nb0, constant uint64_t & nb1, constant uint64_t & nb2, constant uint64_t & nb3, constant float & m0, uint3 tgpig[[threadgroup_position_in_grid]], uint3 tpitg[[thread_position_in_threadgroup]], uint3 ntg[[threads_per_threadgroup]]) { const int64_t i03 = tgpig[2]; const int64_t i02 = tgpig[1]; const int64_t i01 = tgpig[0]; const int64_t n = i03*ne02*ne01*ne00 + i02*ne01*ne00 + i01*ne00; const int64_t i3 = n / (ne2*ne1*ne0); const int64_t i2 = (n - i3*ne2*ne1*ne0) / (ne1*ne0); const int64_t i1 = (n - i3*ne2*ne1*ne0 - i2*ne1*ne0) / ne0; const int64_t i0 = (n - i3*ne2*ne1*ne0 - i2*ne1*ne0 - i1*ne0); device float * dst_data = (device float *) ((device char *) dst + i3*nb3 + i2*nb2 + i1*nb1 + i0*nb0); float m_k = pow(m0, i2 + 1); for (int64_t i00 = tpitg.x; i00 < ne00; i00 += ntg.x) { device const float * src = (device float *)((device char *) src0 + i03*nb03 + i02*nb02 + i01*nb01 + i00*nb00); dst_data[i00] = src[0] + m_k * (i00 - ne00 + 1); } } kernel void kernel_rope( device const void * src0, device float * dst, constant int64_t & ne00, constant int64_t & ne01, constant int64_t & ne02, constant int64_t & ne03, constant uint64_t & nb00, constant uint64_t & nb01, constant uint64_t & nb02, constant uint64_t & nb03, constant int64_t & ne0, constant int64_t & ne1, constant int64_t & ne2, constant int64_t & ne3, constant uint64_t & nb0, constant uint64_t & nb1, constant uint64_t & nb2, constant uint64_t & nb3, constant int & n_past, constant int & n_dims, constant int & mode, constant float & freq_base, constant float & freq_scale, uint3 tpig[[thread_position_in_grid]]) { const int64_t i3 = tpig[2]; const int64_t i2 = tpig[1]; const int64_t i1 = tpig[0]; const bool is_neox = mode & 2; const float theta_scale = pow(freq_base, -2.0f/n_dims); const int64_t p = ((mode & 1) == 0 ? n_past + i2 : i2); float theta = freq_scale * (float)p; if (!is_neox) { for (int64_t i0 = 0; i0 < ne0; i0 += 2) { const float cos_theta = cos(theta); const float sin_theta = sin(theta); theta *= theta_scale; device const float * const src = (device float *)((device char *) src0 + i3*nb03 + i2*nb02 + i1*nb01 + i0*nb00); device float * dst_data = (device float *)((device char *) dst + i3*nb3 + i2*nb2 + i1*nb1 + i0*nb0); const float x0 = src[0]; const float x1 = src[1]; dst_data[0] = x0*cos_theta - x1*sin_theta; dst_data[1] = x0*sin_theta + x1*cos_theta; } } else { // TODO: implement } } kernel void kernel_cpy_f16_f16( device const half * src0, device half * dst, constant int64_t & ne00, constant int64_t & ne01, constant int64_t & ne02, constant int64_t & ne03, constant uint64_t & nb00, constant uint64_t & nb01, constant uint64_t & nb02, constant uint64_t & nb03, constant int64_t & ne0, constant int64_t & ne1, constant int64_t & ne2, constant int64_t & ne3, constant uint64_t & nb0, constant uint64_t & nb1, constant uint64_t & nb2, constant uint64_t & nb3, uint3 tgpig[[threadgroup_position_in_grid]], uint3 tpitg[[thread_position_in_threadgroup]], uint3 ntg[[threads_per_threadgroup]]) { const int64_t i03 = tgpig[2]; const int64_t i02 = tgpig[1]; const int64_t i01 = tgpig[0]; const int64_t n = i03*ne02*ne01*ne00 + i02*ne01*ne00 + i01*ne00; const int64_t i3 = n / (ne2*ne1*ne0); const int64_t i2 = (n - i3*ne2*ne1*ne0) / (ne1*ne0); const int64_t i1 = (n - i3*ne2*ne1*ne0 - i2*ne1*ne0) / ne0; const int64_t i0 = (n - i3*ne2*ne1*ne0 - i2*ne1*ne0 - i1*ne0); device half * dst_data = (device half *) ((device char *) dst + i3*nb3 + i2*nb2 + i1*nb1 + i0*nb0); for (int64_t i00 = tpitg.x; i00 < ne00; i00 += ntg.x) { device const half * src = (device half *)((device char *) src0 + i03*nb03 + i02*nb02 + i01*nb01 + i00*nb00); dst_data[i00] = src[0]; } } kernel void kernel_cpy_f32_f16( device const float * src0, device half * dst, constant int64_t & ne00, constant int64_t & ne01, constant int64_t & ne02, constant int64_t & ne03, constant uint64_t & nb00, constant uint64_t & nb01, constant uint64_t & nb02, constant uint64_t & nb03, constant int64_t & ne0, constant int64_t & ne1, constant int64_t & ne2, constant int64_t & ne3, constant uint64_t & nb0, constant uint64_t & nb1, constant uint64_t & nb2, constant uint64_t & nb3, uint3 tgpig[[threadgroup_position_in_grid]], uint3 tpitg[[thread_position_in_threadgroup]], uint3 ntg[[threads_per_threadgroup]]) { const int64_t i03 = tgpig[2]; const int64_t i02 = tgpig[1]; const int64_t i01 = tgpig[0]; const int64_t n = i03*ne02*ne01*ne00 + i02*ne01*ne00 + i01*ne00; const int64_t i3 = n / (ne2*ne1*ne0); const int64_t i2 = (n - i3*ne2*ne1*ne0) / (ne1*ne0); const int64_t i1 = (n - i3*ne2*ne1*ne0 - i2*ne1*ne0) / ne0; const int64_t i0 = (n - i3*ne2*ne1*ne0 - i2*ne1*ne0 - i1*ne0); device half * dst_data = (device half *) ((device char *) dst + i3*nb3 + i2*nb2 + i1*nb1 + i0*nb0); for (int64_t i00 = tpitg.x; i00 < ne00; i00 += ntg.x) { device const float * src = (device float *)((device char *) src0 + i03*nb03 + i02*nb02 + i01*nb01 + i00*nb00); dst_data[i00] = src[0]; } } kernel void kernel_cpy_f32_f32( device const float * src0, device float * dst, constant int64_t & ne00, constant int64_t & ne01, constant int64_t & ne02, constant int64_t & ne03, constant uint64_t & nb00, constant uint64_t & nb01, constant uint64_t & nb02, constant uint64_t & nb03, constant int64_t & ne0, constant int64_t & ne1, constant int64_t & ne2, constant int64_t & ne3, constant uint64_t & nb0, constant uint64_t & nb1, constant uint64_t & nb2, constant uint64_t & nb3, uint3 tgpig[[threadgroup_position_in_grid]], uint3 tpitg[[thread_position_in_threadgroup]], uint3 ntg[[threads_per_threadgroup]]) { const int64_t i03 = tgpig[2]; const int64_t i02 = tgpig[1]; const int64_t i01 = tgpig[0]; const int64_t n = i03*ne02*ne01*ne00 + i02*ne01*ne00 + i01*ne00; const int64_t i3 = n / (ne2*ne1*ne0); const int64_t i2 = (n - i3*ne2*ne1*ne0) / (ne1*ne0); const int64_t i1 = (n - i3*ne2*ne1*ne0 - i2*ne1*ne0) / ne0; const int64_t i0 = (n - i3*ne2*ne1*ne0 - i2*ne1*ne0 - i1*ne0); device float * dst_data = (device float *) ((device char *) dst + i3*nb3 + i2*nb2 + i1*nb1 + i0*nb0); for (int64_t i00 = tpitg.x; i00 < ne00; i00 += ntg.x) { device const float * src = (device float *)((device char *) src0 + i03*nb03 + i02*nb02 + i01*nb01 + i00*nb00); dst_data[i00] = src[0]; } } //============================================ k-quants ====================================================== #ifndef QK_K #define QK_K 256 #else static_assert(QK_K == 256 || QK_K == 64, "QK_K must be 256 or 64"); #endif #if QK_K == 256 #define K_SCALE_SIZE 12 #else #define K_SCALE_SIZE 4 #endif typedef struct { uint8_t scales[QK_K/16]; // scales and mins, quantized with 4 bits uint8_t qs[QK_K/4]; // quants half d; // super-block scale for quantized scales half dmin; // super-block scale for quantized mins } block_q2_K; // 84 bytes / block typedef struct { uint8_t hmask[QK_K/8]; // quants - high bit uint8_t qs[QK_K/4]; // quants - low 2 bits #if QK_K == 64 uint8_t scales[2]; #else uint8_t scales[K_SCALE_SIZE]; // scales, quantized with 6 bits #endif half d; // super-block scale } block_q3_K; #if QK_K == 64 typedef struct { half d[2]; // super-block scales/mins uint8_t scales[2]; uint8_t qs[QK_K/2]; // 4-bit quants } block_q4_K; #else typedef struct { half d; // super-block scale for quantized scales half dmin; // super-block scale for quantized mins uint8_t scales[K_SCALE_SIZE]; // scales and mins, quantized with 6 bits uint8_t qs[QK_K/2]; // 4--bit quants } block_q4_K; #endif #if QK_K == 64 typedef struct { half d; // super-block scales/mins int8_t scales[QK_K/16]; // 8-bit block scales uint8_t qh[QK_K/8]; // quants, high bit uint8_t qs[QK_K/2]; // quants, low 4 bits } block_q5_K; #else typedef struct { half d; // super-block scale for quantized scales half dmin; // super-block scale for quantized mins uint8_t scales[3*QK_K/64]; // scales and mins, quantized with 6 bits uint8_t qh[QK_K/8]; // quants, high bit uint8_t qs[QK_K/2]; // quants, low 4 bits } block_q5_K; // 176 bytes / block #endif typedef struct { uint8_t ql[QK_K/2]; // quants, lower 4 bits uint8_t qh[QK_K/4]; // quants, upper 2 bits int8_t scales[QK_K/16]; // scales, quantized with 8 bits half d; // super-block scale } block_q6_K; // 210 bytes / block static inline uchar4 get_scale_min_k4(int j, device const uint8_t * q) { uchar4 r; if (j < 4) { r[0] = q[j+0] & 63; r[2] = q[j+1] & 63; r[1] = q[j+4] & 63; r[3] = q[j+5] & 63; } else { r[0] = (q[j+4] & 0xF) | ((q[j-4] >> 6) << 4); r[2] = (q[j+5] & 0xF) | ((q[j-3] >> 6) << 4); r[1] = (q[j+4] >> 4) | ((q[j-0] >> 6) << 4); r[3] = (q[j+5] >> 4) | ((q[j+1] >> 6) << 4); } return r; } //========================================== dequantization ============================= static void dequantize_row_q2_K(device const block_q2_K * x, device float * y, int k) { assert(k % QK_K == 0); const int nb = k / QK_K; for (int i = 0; i < nb; i++) { const float d = x[i].d; const float min = x[i].dmin; device const uint8_t * q = x[i].qs; #if QK_K == 256 int is = 0; float dl, ml; for (int n = 0; n < QK_K; n += 128) { int shift = 0; for (int j = 0; j < 4; ++j) { uint8_t sc = x[i].scales[is++]; dl = d * (sc & 0xF); ml = min * (sc >> 4); for (int l = 0; l < 16; ++l) *y++ = dl * ((int8_t)((q[l] >> shift) & 3)) - ml; sc = x[i].scales[is++]; dl = d * (sc & 0xF); ml = min * (sc >> 4); for (int l = 0; l < 16; ++l) *y++ = dl * ((int8_t)((q[l+16] >> shift) & 3)) - ml; shift += 2; } q += 32; } #else float dl1 = d * (x[i].scales[0] & 0xF), ml1 = min * (x[i].scales[0] >> 4); float dl2 = d * (x[i].scales[1] & 0xF), ml2 = min * (x[i].scales[1] >> 4); float dl3 = d * (x[i].scales[2] & 0xF), ml3 = min * (x[i].scales[2] >> 4); float dl4 = d * (x[i].scales[3] & 0xF), ml4 = min * (x[i].scales[3] >> 4); for (int l = 0; l < 16; ++l) { y[l+ 0] = dl1 * ((q[l] >> 0) & 3) - ml1; y[l+16] = dl2 * ((q[l] >> 2) & 3) - ml2; y[l+32] = dl3 * ((q[l] >> 4) & 3) - ml3; y[l+48] = dl4 * ((q[l] >> 6) & 3) - ml4; } y += QK_K; #endif } } static void dequantize_row_q3_K(device const block_q3_K * x, device float * y, int k) { assert(k % QK_K == 0); const int nb = k / QK_K; #if QK_K == 256 const uint16_t kmask1 = 0x0303; const uint16_t kmask2 = 0x0f0f; uint16_t aux[8]; thread const int8_t * scales = (thread const int8_t*)aux; for (int i = 0; i < nb; i++) { const float d_all = (float)(x[i].d); device const uint8_t * q = x[i].qs; device const uint8_t * h = x[i].hmask; uint8_t m = 1; device const uint16_t * a = (device const uint16_t *)x[i].scales; aux[0] = (a[0] & kmask2) | (((a[4] >> 0) & kmask1) << 4); aux[1] = (a[1] & kmask2) | (((a[5] >> 0) & kmask1) << 4); aux[2] = (a[2] & kmask2) | (((a[4] >> 2) & kmask1) << 4); aux[3] = (a[3] & kmask2) | (((a[5] >> 2) & kmask1) << 4); aux[4] = ((a[0] >> 4) & kmask2) | (((a[4] >> 4) & kmask1) << 4); aux[5] = ((a[1] >> 4) & kmask2) | (((a[5] >> 4) & kmask1) << 4); aux[6] = ((a[2] >> 4) & kmask2) | (((a[4] >> 6) & kmask1) << 4); aux[7] = ((a[3] >> 4) & kmask2) | (((a[5] >> 6) & kmask1) << 4); int is = 0; float dl; for (int n = 0; n < QK_K; n += 128) { int shift = 0; for (int j = 0; j < 4; ++j) { dl = d_all * (scales[is++] - 32); for (int l = 0; l < 16; ++l) { *y++ = dl * ((int8_t)((q[l+ 0] >> shift) & 3) - ((h[l+ 0] & m) ? 0 : 4)); } dl = d_all * (scales[is++] - 32); for (int l = 0; l < 16; ++l) { *y++ = dl * ((int8_t)((q[l+16] >> shift) & 3) - ((h[l+16] & m) ? 0 : 4)); } shift += 2; m <<= 1; } q += 32; } } #else for (int i = 0; i < nb; i++) { const float d_all = (float)(x[i].d); device const uint8_t * q = x[i].qs; device const uint8_t * hm = x[i].hmask; const float d1 = d_all * ((x[i].scales[0] & 0xF) - 8); const float d2 = d_all * ((x[i].scales[0] >> 4) - 8); const float d3 = d_all * ((x[i].scales[1] & 0xF) - 8); const float d4 = d_all * ((x[i].scales[1] >> 4) - 8); for (int l = 0; l < 8; ++l) { uint8_t h = hm[l]; y[l+ 0] = d1 * ((int8_t)((q[l+0] >> 0) & 3) - ((h & 0x01) ? 0 : 4)); y[l+ 8] = d1 * ((int8_t)((q[l+8] >> 0) & 3) - ((h & 0x02) ? 0 : 4)); y[l+16] = d2 * ((int8_t)((q[l+0] >> 2) & 3) - ((h & 0x04) ? 0 : 4)); y[l+24] = d2 * ((int8_t)((q[l+8] >> 2) & 3) - ((h & 0x08) ? 0 : 4)); y[l+32] = d3 * ((int8_t)((q[l+0] >> 4) & 3) - ((h & 0x10) ? 0 : 4)); y[l+40] = d3 * ((int8_t)((q[l+8] >> 4) & 3) - ((h & 0x20) ? 0 : 4)); y[l+48] = d4 * ((int8_t)((q[l+0] >> 6) & 3) - ((h & 0x40) ? 0 : 4)); y[l+56] = d4 * ((int8_t)((q[l+8] >> 6) & 3) - ((h & 0x80) ? 0 : 4)); } y += QK_K; } #endif } static void dequantize_row_q4_K(device const block_q4_K * x, device float * y, int k) { assert(k % QK_K == 0); const int nb = k / QK_K; for (int i = 0; i < nb; i++) { device const uint8_t * q = x[i].qs; #if QK_K == 256 const float d = x[i].d; const float min = x[i].dmin; device const uint8_t * scales = x[i].scales; int is = 0; for (int j = 0; j < QK_K; j += 64) { const uchar4 sc = get_scale_min_k4(is, scales); const float d1 = d * sc[0]; const float m1 = min * sc[1]; const float d2 = d * sc[2]; const float m2 = min * sc[3]; for (int l = 0; l < 32; ++l) *y++ = d1 * (q[l] & 0xF) - m1; for (int l = 0; l < 32; ++l) *y++ = d2 * (q[l] >> 4) - m2; q += 32; is += 2; } #else device const uint8_t * s = x[i].scales; device const half2 * dh = (device const half2 *)x[i].d; const float2 d = (float2)dh[0]; const float d1 = d[0] * (s[0] & 0xF); const float d2 = d[0] * (s[1] & 0xF); const float m1 = d[1] * (s[0] >> 4); const float m2 = d[1] * (s[1] >> 4); for (int l = 0; l < 32; ++l) { y[l+ 0] = d1 * (q[l] & 0xF) - m1; y[l+32] = d2 * (q[l] >> 4) - m2; } y += QK_K; #endif } } static void dequantize_row_q5_K(device const block_q5_K * x, device float * y, int k) { assert(k % QK_K == 0); const int nb = k / QK_K; #if QK_K == 256 for (int i = 0; i < nb; i++) { const float d = (float)(x[i].d); const float min = (float)(x[i].dmin); device const uint8_t * ql = x[i].qs; device const uint8_t * qh = x[i].qh; int is = 0; uint8_t u1 = 1, u2 = 2; for (int j = 0; j < QK_K; j += 64) { const uchar4 sc = get_scale_min_k4(is, x[i].scales); const float d1 = d * sc[0]; const float m1 = min * sc[1]; const float d2 = d * sc[2]; const float m2 = min * sc[3]; for (int l = 0; l < 32; ++l) *y++ = d1 * ((ql[l] & 0xF) + (qh[l] & u1 ? 16 : 0)) - m1; for (int l = 0; l < 32; ++l) *y++ = d2 * ((ql[l] >> 4) + (qh[l] & u2 ? 16 : 0)) - m2; ql += 32; is += 2; u1 <<= 2; u2 <<= 2; } } #else for (int i = 0; i < nb; i++) { const float d = (float)x[i].d; device const uint8_t * ql = x[i].qs; device const uint8_t * qh = x[i].qh; device const int8_t * sc = x[i].scales; for (int l = 0; l < 8; ++l) { y[l+ 0] = d * sc[0] * ((ql[l+ 0] & 0xF) - (qh[l] & 0x01 ? 0 : 16)); y[l+ 8] = d * sc[0] * ((ql[l+ 8] & 0xF) - (qh[l] & 0x02 ? 0 : 16)); y[l+16] = d * sc[1] * ((ql[l+16] & 0xF) - (qh[l] & 0x04 ? 0 : 16)); y[l+24] = d * sc[1] * ((ql[l+24] & 0xF) - (qh[l] & 0x08 ? 0 : 16)); y[l+32] = d * sc[2] * ((ql[l+ 0] >> 4) - (qh[l] & 0x10 ? 0 : 16)); y[l+40] = d * sc[2] * ((ql[l+ 8] >> 4) - (qh[l] & 0x20 ? 0 : 16)); y[l+48] = d * sc[3] * ((ql[l+16] >> 4) - (qh[l] & 0x40 ? 0 : 16)); y[l+56] = d * sc[3] * ((ql[l+24] >> 4) - (qh[l] & 0x80 ? 0 : 16)); } y += QK_K; } #endif } static void dequantize_row_q6_K(device const block_q6_K * x, device float * y, int k) { assert(k % QK_K == 0); const int nb = k / QK_K; for (int i = 0; i < nb; i++) { device const uint8_t * ql = x[i].ql; device const uint8_t * qh = x[i].qh; device const int8_t * sc = x[i].scales; const float d = x[i].d; #if QK_K == 256 for (int n = 0; n < QK_K; n += 128) { for (int l = 0; l < 32; ++l) { int is = l/16; const int8_t q1 = (int8_t)((ql[l + 0] & 0xF) | (((qh[l] >> 0) & 3) << 4)) - 32; const int8_t q2 = (int8_t)((ql[l + 32] & 0xF) | (((qh[l] >> 2) & 3) << 4)) - 32; const int8_t q3 = (int8_t)((ql[l + 0] >> 4) | (((qh[l] >> 4) & 3) << 4)) - 32; const int8_t q4 = (int8_t)((ql[l + 32] >> 4) | (((qh[l] >> 6) & 3) << 4)) - 32; y[l + 0] = d * sc[is + 0] * q1; y[l + 32] = d * sc[is + 2] * q2; y[l + 64] = d * sc[is + 4] * q3; y[l + 96] = d * sc[is + 6] * q4; } y += 128; ql += 64; qh += 32; sc += 8; } #else for (int l = 0; l < 16; ++l) { const int8_t q1 = (int8_t)((ql[l+ 0] & 0xF) | (((qh[l] >> 0) & 3) << 4)) - 32; const int8_t q2 = (int8_t)((ql[l+16] & 0xF) | (((qh[l] >> 2) & 3) << 4)) - 32; const int8_t q3 = (int8_t)((ql[l+ 0] >> 4) | (((qh[l] >> 4) & 3) << 4)) - 32; const int8_t q4 = (int8_t)((ql[l+16] >> 4) | (((qh[l] >> 6) & 3) << 4)) - 32; y[l+ 0] = d * sc[0] * q1; y[l+16] = d * sc[1] * q2; y[l+32] = d * sc[2] * q3; y[l+48] = d * sc[3] * q4; } y += 64; #endif } } kernel void kernel_get_rows_q2_K( device const void * src0, device const int * src1, device float * dst, constant int64_t & ne00, constant uint64_t & nb01, constant uint64_t & nb1, uint tpig[[thread_position_in_grid]]) { const int i = tpig; const int r = ((device int32_t *) src1)[i]; dequantize_row_q2_K( (device const block_q2_K *) ((device char *) src0 + r*nb01), (device float *) ((device char *) dst + i*nb1), ne00); } kernel void kernel_get_rows_q3_K( device const void * src0, device const int * src1, device float * dst, constant int64_t & ne00, constant uint64_t & nb01, constant uint64_t & nb1, uint tpig[[thread_position_in_grid]]) { const int i = tpig; const int r = ((device int32_t *) src1)[i]; dequantize_row_q3_K( (device const block_q3_K *) ((device char *) src0 + r*nb01), (device float *) ((device char *) dst + i*nb1), ne00); } kernel void kernel_get_rows_q4_K( device const void * src0, device const int * src1, device float * dst, constant int64_t & ne00, constant uint64_t & nb01, constant uint64_t & nb1, uint tpig[[thread_position_in_grid]]) { const int i = tpig; const int r = ((device int32_t *) src1)[i]; dequantize_row_q4_K( (device const block_q4_K *) ((device char *) src0 + r*nb01), (device float *) ((device char *) dst + i*nb1), ne00); } kernel void kernel_get_rows_q5_K( device const void * src0, device const int * src1, device float * dst, constant int64_t & ne00, constant uint64_t & nb01, constant uint64_t & nb1, uint tpig[[thread_position_in_grid]]) { const int i = tpig; const int r = ((device int32_t *) src1)[i]; dequantize_row_q5_K( (device const block_q5_K *) ((device char *) src0 + r*nb01), (device float *) ((device char *) dst + i*nb1), ne00); } kernel void kernel_get_rows_q6_K( device const void * src0, device const int * src1, device float * dst, constant int64_t & ne00, constant uint64_t & nb01, constant uint64_t & nb1, uint tpig[[thread_position_in_grid]]) { const int i = tpig; const int r = ((device int32_t *) src1)[i]; dequantize_row_q6_K( (device const block_q6_K *) ((device char *) src0 + r*nb01), (device float *) ((device char *) dst + i*nb1), ne00); } //====================================== dot products ========================= kernel void kernel_mul_mat_q2_K_f32( device const void * src0, device const float * src1, device float * dst, constant int64_t & ne00, constant int64_t & ne10, constant int64_t & ne0, threadgroup float * sum [[threadgroup(0)]], uint2 tgpig[[threadgroup_position_in_grid]], uint2 tpitg[[thread_position_in_threadgroup]], uint2 tptg[[threads_per_threadgroup]]) { const int nb = ne00/QK_K; const int64_t r0 = tgpig.x; const int64_t r1 = tgpig.y; device const block_q2_K * x = (device const block_q2_K *) src0 + r0*nb; device const float * yy = (device const float *) src1 + r1*ne10; const int nth = tptg.x*tptg.y; const int ith = tptg.y*tpitg.x + tpitg.y; float sumf = 0; #if QK_K == 256 const int tid = tpitg.y; // 0...16 const int il = tid/4; // 0...3 const int ir = tid%4; // 0...3 const int ip = il/2; // 0 or 1 const int shift1 = 4*(il%2);// 0 or 4 const int shift2 = shift1+2;// 2 or 6 const int n = 8; const int is = 4*il + (n*ir)/16; const int y_offset = 64*il + n*ir; const int q_offset = 32*ip + n*ir; for (int i = tpitg.x; i < nb; i += tptg.x) { device const uint8_t * q = x[i].qs + q_offset; device const uint8_t * scales = x[i].scales + is; uint8_t d1 = scales[0] & 0xF; uint8_t d2 = scales[2] & 0xF; uint8_t m1 = scales[0] >> 4; uint8_t m2 = scales[2] >> 4; device const float * y = yy + i*QK_K + y_offset; float2 s = {0.f, 0.f}; float smin = 0; for (int l = 0; l < n; ++l) { s[0] += y[l+ 0] * ((q[l] >> shift1) & 3); s[1] += y[l+32] * ((q[l] >> shift2) & 3); smin += y[l+ 0] * m1 + y[l+32] * m2; } const float dall = (float)x[i].d; const float dmin = (float)x[i].dmin; sumf += dall * (s[0] * d1 + s[1] * d2) - dmin * smin; } #else const int il = 4 * tpitg.x; uint32_t aux[2]; thread const uint8_t * d = (thread const uint8_t *)aux; thread const uint8_t * m = (thread const uint8_t *)aux + 4; for (int i = tpitg.y; i < nb; i += tptg.y) { device const uint8_t * q = x[i].qs + il; device const float * y = yy + i*QK_K + il; const float dall = (float)x[i].d; const float dmin = (float)x[i].dmin; device const uint32_t * a = (device const uint32_t *)x[i].scales; aux[0] = a[0] & 0x0f0f0f0f; aux[1] = (a[0] >> 4) & 0x0f0f0f0f; for (int l = 0; l < 4; ++l) { sumf += y[l+ 0] * (dall * d[0] * ((q[l] >> 0) & 3) - dmin * m[0]) + y[l+16] * (dall * d[1] * ((q[l] >> 2) & 3) - dmin * m[1]) + y[l+32] * (dall * d[2] * ((q[l] >> 4) & 3) - dmin * m[2]) + y[l+48] * (dall * d[3] * ((q[l] >> 6) & 3) - dmin * m[3]); } } #endif sum[ith] = sumf; // // Accumulate the sum from all threads in the threadgroup // threadgroup_barrier(mem_flags::mem_threadgroup); if (ith%4 == 0) { for (int i = 1; i < 4; ++i) sum[ith] += sum[ith + i]; } threadgroup_barrier(mem_flags::mem_threadgroup); if (ith%16 == 0) { for (int i = 4; i < 16; i += 4) sum[ith] += sum[ith + i]; } threadgroup_barrier(mem_flags::mem_threadgroup); if (ith == 0) { for (int i = 16; i < nth; i += 16) sum[0] += sum[i]; dst[r1*ne0 + r0] = sum[0]; } } kernel void kernel_mul_mat_q3_K_f32( device const void * src0, device const float * src1, device float * dst, constant int64_t & ne00, constant int64_t & ne10, constant int64_t & ne0, constant int64_t & ne1, threadgroup float * sum [[threadgroup(0)]], uint2 tgpig[[threadgroup_position_in_grid]], uint2 tpitg[[thread_position_in_threadgroup]], uint2 tptg[[threads_per_threadgroup]]) { const int nb = ne00/QK_K; const int64_t r0 = tgpig.x; const int64_t r1 = tgpig.y; device const block_q3_K * x = (device const block_q3_K *) src0 + r0*nb; device const float * yy = (device const float *) src1 + r1*ne10; const int nth = tptg.x*tptg.y; const int ith = tptg.y*tpitg.x + tpitg.y; #if QK_K == 256 const uint8_t m3 = 3; const int8_t m4 = 4; const uint16_t kmask1 = 0x0303; const uint16_t kmask2 = 0x0f0f; const int tid = tpitg.y; // expecting 16 const int ip = tid/8; // 0 or 1 const int il = tid/2 - 4*ip; // 0...3 const int ir = tid%2; const int n = 8; const int l0 = n*ir; const uint8_t m = 1 << (4*ip + il); const int shift = 2*il; const uint16_t s_shift1 = 4*ip; const uint16_t s_shift2 = s_shift1 + 2*(il/2); const int ik = 4 + (il%2); const int q_offset = 32*ip + l0; const int y_offset = 128*ip + 32*il + l0; //float sumf = 0; float sumf1 = 0, sumf2 = 0; for (int i = tpitg.x; i < nb; i += tptg.x) { const float d_all = (float)(x[i].d); device const uint8_t * q = x[i].qs + q_offset; device const uint8_t * h = x[i].hmask + l0; device const float * y = yy + i * QK_K + y_offset; device const uint16_t * a = (device const uint16_t *)x[i].scales; const char2 scales = as_type((uint16_t)(((a[il] >> s_shift1) & kmask2) | (((a[ik] >> s_shift2) & kmask1) << 4))); float s = 0; for (int l = 0; l < n; ++l) { s += y[l+ 0] * ((int8_t)((q[l+ 0] >> shift) & m3) - ((h[l+ 0] & m) ? 0 : m4)); } float d = d_all * s; sumf1 += d * scales[0]; sumf2 += d; //sumf += d_all * s * (scales[0] - 32); s = 0; for (int l = 0; l < n; ++l) { s += y[l+16] * ((int8_t)((q[l+16] >> shift) & m3) - ((h[l+16] & m) ? 0 : m4)); } d = d_all * s; sumf1 += d * scales[1]; sumf2 += d; //sumf += d_all * s * (scales[1] - 32); } //sum[ith] = sumf; sum[ith] = sumf1 - 32.f*sumf2; #else const int il = 4 * tpitg.x; // 0, 4, 8, 12 const int im = il/8; // 0, 0, 1, 1 const int in = il%8; // 0, 4, 0, 4 float sumf = 0; for (int i = tpitg.y; i < nb; i += tptg.y) { const float d_all = (float)(x[i].d); device const uint8_t * q = x[i].qs + il; device const uint8_t * h = x[i].hmask + in; device const float * y = yy + i * QK_K + il; const float d1 = d_all * ((x[i].scales[0] & 0xF) - 8); const float d2 = d_all * ((x[i].scales[0] >> 4) - 8); const float d3 = d_all * ((x[i].scales[1] & 0xF) - 8); const float d4 = d_all * ((x[i].scales[1] >> 4) - 8); for (int l = 0; l < 4; ++l) { const uint8_t hm = h[l] >> im; sumf += y[l+ 0] * d1 * ((int8_t)((q[l+0] >> 0) & 3) - ((hm & 0x01) ? 0 : 4)) + y[l+16] * d2 * ((int8_t)((q[l+0] >> 2) & 3) - ((hm & 0x04) ? 0 : 4)) + y[l+32] * d3 * ((int8_t)((q[l+0] >> 4) & 3) - ((hm & 0x10) ? 0 : 4)) + y[l+48] * d4 * ((int8_t)((q[l+0] >> 6) & 3) - ((hm & 0x40) ? 0 : 4)); } } sum[ith] = sumf; #endif // // Accumulate the sum from all threads in the threadgroup // threadgroup_barrier(mem_flags::mem_threadgroup); if (ith%4 == 0) { for (int i = 1; i < 4; ++i) sum[ith] += sum[ith + i]; } threadgroup_barrier(mem_flags::mem_threadgroup); if (ith%16 == 0) { for (int i = 4; i < 16; i += 4) sum[ith] += sum[ith + i]; } threadgroup_barrier(mem_flags::mem_threadgroup); if (ith == 0) { for (int i = 16; i < nth; i += 16) sum[0] += sum[i]; dst[r1*ne0 + r0] = sum[0]; } } #if QK_K == 256 kernel void kernel_mul_mat_q4_K_f32( device const void * src0, device const float * src1, device float * dst, constant int64_t & ne00, constant int64_t & ne10, constant int64_t & ne0, constant int64_t & ne01[[buffer(4)]], uint2 tgpig[[threadgroup_position_in_grid]], uint tiisg[[thread_index_in_simdgroup]], uint sgitg[[simdgroup_index_in_threadgroup]]) { const uint16_t kmask1 = 0x3f3f; const uint16_t kmask2 = 0x0f0f; const uint16_t kmask3 = 0xc0c0; const int ix = tiisg/8; // 0...3 const int it = tiisg%8; // 0...7 const int im = it/4; // 0 or 1 const int ir = it%4; // 0...3 const int nb = ne00/QK_K; const int r0 = tgpig.x; const int r1 = tgpig.y; const int first_row = (r0 * N_SIMDGROUP + sgitg) * N_DST; const int ib_row = first_row * nb; device const block_q4_K * x = (device const block_q4_K *) src0 + ib_row; device const float * y = (device const float *) src1 + r1*ne10; float yl[16]; float yh[16]; float sumf[N_DST]={0.f}, all_sum; const int step = sizeof(block_q4_K) * nb / 2; device const float * y4 = y + ix * QK_K + 64 * im + 8 * ir; uint16_t sc16[4]; thread const uint8_t * sc8 = (thread const uint8_t *)sc16; for (int ib = ix; ib < nb; ib += 4) { float4 sumy = {0.f, 0.f, 0.f, 0.f}; for (int i = 0; i < 8; ++i) { yl[i+0] = y4[i+ 0]; sumy[0] += yl[i+0]; yl[i+8] = y4[i+ 32]; sumy[1] += yl[i+8]; yh[i+0] = y4[i+128]; sumy[2] += yh[i+0]; yh[i+8] = y4[i+160]; sumy[3] += yh[i+8]; } device const uint16_t * sc = (device const uint16_t *)x[ib].scales + im; device const uint16_t * q1 = (device const uint16_t *)x[ib].qs + 16 * im + 4 * ir; device const half * dh = &x[ib].d; for (int row = 0; row < N_DST; row++) { sc16[0] = sc[0] & kmask1; sc16[1] = sc[2] & kmask1; sc16[2] = ((sc[4] >> 0) & kmask2) | ((sc[0] & kmask3) >> 2); sc16[3] = ((sc[4] >> 4) & kmask2) | ((sc[2] & kmask3) >> 2); device const uint16_t * q2 = q1 + 32; float4 acc1 = {0.f, 0.f, 0.f, 0.f}; float4 acc2 = {0.f, 0.f, 0.f, 0.f}; for (int i = 0; i < 8; i += 2) { acc1[0] += yl[i+0] * (q1[i/2] & 0x000F); acc1[1] += yl[i+1] * (q1[i/2] & 0x0F00); acc1[2] += yl[i+8] * (q1[i/2] & 0x00F0); acc1[3] += yl[i+9] * (q1[i/2] & 0xF000); acc2[0] += yh[i+0] * (q2[i/2] & 0x000F); acc2[1] += yh[i+1] * (q2[i/2] & 0x0F00); acc2[2] += yh[i+8] * (q2[i/2] & 0x00F0); acc2[3] += yh[i+9] * (q2[i/2] & 0xF000); } float dall = dh[0]; float dmin = dh[1]; sumf[row] += dall * ((acc1[0] + 1.f/256.f * acc1[1]) * sc8[0] + (acc1[2] + 1.f/256.f * acc1[3]) * sc8[1] * 1.f/16.f + (acc2[0] + 1.f/256.f * acc2[1]) * sc8[4] + (acc2[2] + 1.f/256.f * acc2[3]) * sc8[5] * 1.f/16.f) - dmin * (sumy[0] * sc8[2] + sumy[1] * sc8[3] + sumy[2] * sc8[6] + sumy[3] * sc8[7]); q1 += step; sc += step; dh += step; } y4 += 4 * QK_K; } for (int row = 0; row < N_DST; ++row) { all_sum = simd_sum(sumf[row]); if (tiisg == 0) { dst[r1*ne0 + first_row + row] = all_sum; } } } #else kernel void kernel_mul_mat_q4_K_f32( device const void * src0, device const float * src1, device float * dst, constant int64_t & ne00, constant int64_t & ne10, constant int64_t & ne0, constant int64_t & ne01[[buffer(4)]], uint2 tgpig[[threadgroup_position_in_grid]], uint tiisg[[thread_index_in_simdgroup]], uint sgitg[[simdgroup_index_in_threadgroup]]) { const int ix = tiisg/4; // 0...7 const int it = tiisg%4; // 0...3 const int nb = ne00/QK_K; const int r0 = tgpig.x; const int r1 = tgpig.y; const int first_row = (r0 * N_SIMDGROUP + sgitg) * N_DST; const int ib_row = first_row * nb; device const block_q4_K * x = (device const block_q4_K *) src0 + ib_row; device const float * y = (device const float *) src1 + r1*ne10; float yl[8]; float yh[8]; float sumf[N_DST]={0.f}, all_sum; const int step = sizeof(block_q4_K) * nb / 2; device const float * y4 = y + ix * QK_K + 8 * it; uint16_t sc16[4]; for (int ib = ix; ib < nb; ib += 8) { float2 sumy = {0.f, 0.f}; for (int i = 0; i < 8; ++i) { yl[i] = y4[i+ 0]; sumy[0] += yl[i]; yh[i] = y4[i+32]; sumy[1] += yh[i]; } device const uint16_t * sc = (device const uint16_t *)x[ib].scales; device const uint16_t * qs = (device const uint16_t *)x[ib].qs + 4 * it; device const half * dh = x[ib].d; for (int row = 0; row < N_DST; row++) { sc16[0] = sc[0] & 0x000f; sc16[1] = sc[0] & 0x0f00; sc16[2] = sc[0] & 0x00f0; sc16[3] = sc[0] & 0xf000; float2 acc1 = {0.f, 0.f}; float2 acc2 = {0.f, 0.f}; for (int i = 0; i < 8; i += 2) { acc1[0] += yl[i+0] * (qs[i/2] & 0x000F); acc1[1] += yl[i+1] * (qs[i/2] & 0x0F00); acc2[0] += yh[i+0] * (qs[i/2] & 0x00F0); acc2[1] += yh[i+1] * (qs[i/2] & 0xF000); } float dall = dh[0]; float dmin = dh[1]; sumf[row] += dall * ((acc1[0] + 1.f/256.f * acc1[1]) * sc16[0] + (acc2[0] + 1.f/256.f * acc2[1]) * sc16[1] * 1.f/4096.f) - dmin * 1.f/16.f * (sumy[0] * sc16[2] + sumy[1] * sc16[3] * 1.f/256.f); qs += step; sc += step; dh += step; } y4 += 8 * QK_K; } for (int row = 0; row < N_DST; ++row) { all_sum = simd_sum(sumf[row]); if (tiisg == 0) { dst[r1*ne0 + first_row + row] = all_sum; } } } #endif kernel void kernel_mul_mat_q5_K_f32( device const void * src0, device const float * src1, device float * dst, constant int64_t & ne00, constant int64_t & ne10, constant int64_t & ne0, uint2 tgpig[[threadgroup_position_in_grid]], uint tiisg[[thread_index_in_simdgroup]], uint sgitg[[simdgroup_index_in_threadgroup]]) { const int nb = ne00/QK_K; const int64_t r0 = tgpig.x; const int64_t r1 = tgpig.y; const int first_row = (r0 * N_SIMDGROUP + sgitg) * 2; device const block_q5_K * x = (device const block_q5_K *) src0 + first_row*nb; device const float * yy = (device const float *) src1 + r1*ne10; float sumf[2]={0.f}; const int step = sizeof(block_q5_K) * nb; #if QK_K == 256 # float yl[16], yh[16]; const uint16_t kmask1 = 0x3f3f; const uint16_t kmask2 = 0x0f0f; const uint16_t kmask3 = 0xc0c0; const int tid = tiisg/4; const int ix = tiisg%4; const int im = tid/4; const int ir = tid%4; const int n = 8; const int l0 = n*ir; const int q_offset = 32*im + l0; const int y_offset = 64*im + l0; const uint8_t hm1 = 1u << (2*im); const uint8_t hm2 = hm1 << 1; const uint8_t hm3 = hm1 << 4; const uint8_t hm4 = hm2 << 4; uint16_t sc16[4]; thread const uint8_t * sc8 = (thread const uint8_t *)sc16; device const float * y1 = yy + ix*QK_K + y_offset; for (int i = ix; i < nb; i += 4) { device const uint8_t * q1 = x[i].qs + q_offset; device const uint8_t * qh = x[i].qh + l0; device const half * dh = &x[i].d; device const uint16_t * a = (device const uint16_t *)x[i].scales + im; device const float * y2 = y1 + 128; float4 sumy = {0.f, 0.f, 0.f, 0.f}; for (int l = 0; l < 8; ++l) { yl[l+0] = y1[l+ 0]; sumy[0] += yl[l+0]; yl[l+8] = y1[l+32]; sumy[1] += yl[l+8]; yh[l+0] = y2[l+ 0]; sumy[2] += yh[l+0]; yh[l+8] = y2[l+32]; sumy[3] += yh[l+8]; } for (int row = 0; row < 2; ++row) { device const uint8_t * q2 = q1 + 64; sc16[0] = a[0] & kmask1; sc16[1] = a[2] & kmask1; sc16[2] = ((a[4] >> 0) & kmask2) | ((a[0] & kmask3) >> 2); sc16[3] = ((a[4] >> 4) & kmask2) | ((a[2] & kmask3) >> 2); float4 acc = {0.f, 0.f, 0.f, 0.f}; for (int l = 0; l < n; ++l) { uint8_t h = qh[l]; acc[0] += yl[l+0] * ((uint16_t)(q1[l] & 0x0F) + (h & hm1 ? 16 : 0)); acc[1] += yl[l+8] * ((uint16_t)(q1[l] & 0xF0) + (h & hm2 ? 256 : 0)); acc[2] += yh[l+0] * ((uint16_t)(q2[l] & 0x0F) + (h & hm3 ? 16 : 0)); acc[3] += yh[l+8] * ((uint16_t)(q2[l] & 0xF0) + (h & hm4 ? 256 : 0)); } const float dall = dh[0]; const float dmin = dh[1]; sumf[row] += dall * (acc[0] * sc8[0] + acc[1] * sc8[1] * 1.f/16.f + acc[2] * sc8[4] + acc[3] * sc8[5] * 1.f/16.f) - dmin * (sumy[0] * sc8[2] + sumy[1] * sc8[3] + sumy[2] * sc8[6] + sumy[3] * sc8[7]); q1 += step; qh += step; dh += step/2; a += step/2; } y1 += 4 * QK_K; } #else float yl[8], yh[8]; const int il = 4 * (tiisg/8); // 0, 4, 8, 12 const int ix = tiisg%8; const int im = il/8; // 0, 0, 1, 1 const int in = il%8; // 0, 4, 0, 4 device const float * y = yy + ix*QK_K + il; for (int i = ix; i < nb; i += 8) { float4 sumy = {0.f, 0.f, 0.f, 0.f}; for (int l = 0; l < 4; ++l) { yl[l+0] = y[l+ 0]; yl[l+4] = y[l+16]; yh[l+0] = y[l+32]; yh[l+4] = y[l+48]; } device const half * dh = &x[i].d; device const uint8_t * q = x[i].qs + il; device const uint8_t * h = x[i].qh + in; device const int8_t * s = x[i].scales; for (int row = 0; row < 2; ++row) { const float d = dh[0]; float2 acc = {0.f, 0.f}; for (int l = 0; l < 4; ++l) { const uint8_t hl = h[l] >> im; acc[0] += yl[l+0] * s[0] * ((int16_t)(q[l+ 0] & 0x0F) - (hl & 0x01 ? 0 : 16)) + yl[l+4] * s[1] * ((int16_t)(q[l+16] & 0x0F) - (hl & 0x04 ? 0 : 16)); acc[1] += yh[l+0] * s[2] * ((int16_t)(q[l+ 0] & 0xF0) - (hl & 0x10 ? 0 : 256)) + yh[l+4] * s[3] * ((int16_t)(q[l+16] & 0xF0) - (hl & 0x40 ? 0 : 256)); } sumf[row] += d * (acc[0] + 1.f/16.f * acc[1]); q += step; h += step; s += step; dh += step/2; } y += 8 * QK_K; } #endif for (int row = 0; row < 2; ++row) { const float tot = simd_sum(sumf[row]); if (tiisg == 0) { dst[r1*ne0 + first_row + row] = tot; } } } kernel void kernel_mul_mat_q6_K_f32( device const void * src0, device const float * src1, device float * dst, constant int64_t & ne00, constant int64_t & ne10, constant int64_t & ne0, uint2 tgpig[[threadgroup_position_in_grid]], uint tiisg[[thread_index_in_simdgroup]], uint sgitg[[simdgroup_index_in_threadgroup]]) { const uint8_t kmask1 = 0x03; const uint8_t kmask2 = 0x0C; const uint8_t kmask3 = 0x30; const uint8_t kmask4 = 0xC0; const int nb = ne00/QK_K; const int64_t r0 = tgpig.x; const int64_t r1 = tgpig.y; const int row = 2 * r0 + sgitg; device const block_q6_K * x = (device const block_q6_K *) src0 + row * nb; //r0*nb; device const float * yy = (device const float *) src1 + r1*ne10; float sumf = 0; #if QK_K == 256 const int tid = tiisg/2; const int ix = tiisg%2; const int ip = tid/8; // 0 or 1 const int il = tid%8; const int n = 4; const int l0 = n*il; const int is = 8*ip + l0/16; const int y_offset = 128*ip + l0; const int q_offset_l = 64*ip + l0; const int q_offset_h = 32*ip + l0; for (int i = ix; i < nb; i += 2) { device const uint8_t * q1 = x[i].ql + q_offset_l; device const uint8_t * q2 = q1 + 32; device const uint8_t * qh = x[i].qh + q_offset_h; device const int8_t * sc = x[i].scales + is; device const float * y = yy + i * QK_K + y_offset; const float dall = x[i].d; float4 sums = {0.f, 0.f, 0.f, 0.f}; for (int l = 0; l < n; ++l) { sums[0] += y[l+ 0] * ((int8_t)((q1[l] & 0xF) | ((qh[l] & kmask1) << 4)) - 32); sums[1] += y[l+32] * ((int8_t)((q2[l] & 0xF) | ((qh[l] & kmask2) << 2)) - 32); sums[2] += y[l+64] * ((int8_t)((q1[l] >> 4) | ((qh[l] & kmask3) << 0)) - 32); sums[3] += y[l+96] * ((int8_t)((q2[l] >> 4) | ((qh[l] & kmask4) >> 2)) - 32); } sumf += dall * (sums[0] * sc[0] + sums[1] * sc[2] + sums[2] * sc[4] + sums[3] * sc[6]); } #else const int ix = tiisg/4; const int il = 4*(tiisg%4); for (int i = ix; i < nb; i += 8) { device const float * y = yy + i * QK_K + il; device const uint8_t * ql = x[i].ql + il; device const uint8_t * qh = x[i].qh + il; device const int8_t * s = x[i].scales; const float d = x[i].d; float4 sums = {0.f, 0.f, 0.f, 0.f}; for (int l = 0; l < 4; ++l) { sums[0] += y[l+ 0] * ((int8_t)((ql[l+ 0] & 0xF) | ((qh[l] & kmask1) << 4)) - 32); sums[1] += y[l+16] * ((int8_t)((ql[l+16] & 0xF) | ((qh[l] & kmask2) << 2)) - 32); sums[2] += y[l+32] * ((int8_t)((ql[l+ 0] >> 4) | ((qh[l] & kmask3) >> 0)) - 32); sums[3] += y[l+48] * ((int8_t)((ql[l+16] >> 4) | ((qh[l] & kmask4) >> 2)) - 32); } sumf += d * (sums[0] * s[0] + sums[1] * s[1] + sums[2] * s[2] + sums[3] * s[3]); } #endif const float tot = simd_sum(sumf); if (tiisg == 0) { dst[r1*ne0 + row] = tot; } }