Repository: ggml-org/llama.cpp
Pull request: powerpc: add FP16 MMA path for Q4/Q8 matmul

Avoid xvi8ger4pp signed→unsigned bias correction by dequantizing Q4/Q8 inputs to FP16 and using FP16×FP16→FP32 MMA. This removes post-processing overhead and improves performance.

Performance Impact:
1.5 ~ 2x improvement in PP_Speed for Q4 and Q8 Models, measured with llama-bench and llama-batched-bench. Q8 Model: granite-4.0-h-micro-Q8_0.gguf (from huggingface) Q4 Model: Meta-Llama3-8b Q4 model (generated with llama-quantize from f32 model)

llama-bench Q8 Model Results:
 model                          	       size 	     params 	 backend    	 threads 	            test 	Base t/s	Patch t/s
 granitehybrid 3B Q8_0          	   3.16 GiB 	     3.19 B 	 CPU        	      10 	             pp8 	         64.48 ± 4.72 	         73.99 ± 0.27
 granitehybrid 3B Q8_0          	   3.16 GiB 	     3.19 B 	 CPU        	      10 	            pp16 	         80.11 ± 0.32 	        112.53 ± 0.40
 granitehybrid 3B Q8_0          	   3.16 GiB 	     3.19 B 	 CPU        	      10 	            pp32 	         89.10 ± 0.27 	        152.95 ± 0.68
 granitehybrid 3B Q8_0          	   3.16 GiB 	     3.19 B 	 CPU        	      10 	            pp64 	         93.65 ± 0.25 	        187.83 ± 0.83
 granitehybrid 3B Q8_0          	   3.16 GiB 	     3.19 B 	 CPU        	      10 	           pp128 	         99.93 ± 0.02 	        201.32 ± 0.11
 granitehybrid 3B Q8_0          	   3.16 GiB 	     3.19 B 	 CPU        	      10 	           pp256 	        102.32 ± 0.40 	        208.32 ± 0.41
 granitehybrid 3B Q8_0          	   3.16 GiB 	     3.19 B 	 CPU        	      10 	           pp512 	        103.42 ± 0.40 	        209.98 ± 0.14
 granitehybrid 3B Q8_0          	   3.16 GiB 	     3.19 B 	 CPU        	      10 	           tg128 	         20.35 ± 0.01 	         19.57 ± 0.01

llama-bench Q4 Model Results:
 model                          	       size 	     params 	 backend    	 threads 	            test 	              Base    t/s 	               Patch   t/s
 llama 8B Q4_0                  	   4.33 GiB 	     8.03 B 	 CPU        	      10 	             pp8 	         34.77 ± 0.10 	         41.23 ± 0.08
 llama 8B Q4_0                  	   4.33 GiB 	     8.03 B 	 CPU        	      10 	            pp16 	         40.81 ± 0.04 	         64.55 ± 0.15
 llama 8B Q4_0                  	   4.33 GiB 	     8.03 B 	 CPU        	      10 	            pp32 	         44.65 ± 0.05 	         90.84 ± 0.22
 llama 8B Q4_0                  	   4.33 GiB 	     8.03 B 	 CPU        	      10 	            pp64 	         47.49 ± 0.03 	        114.39 ± 0.11
 llama 8B Q4_0                  	   4.33 GiB 	     8.03 B 	 CPU        	      10 	           pp128 	         49.29 ± 0.24 	        120.13 ± 0.19
 llama 8B Q4_0                  	   4.33 GiB 	     8.03 B 	 CPU        	      10 	           pp256 	         49.77 ± 0.23 	        121.51 ± 0.11
 llama 8B Q4_0                  	   4.33 GiB 	     8.03 B 	 CPU        	      10 	           pp512 	         49.89 ± 0.23 	        117.52 ± 0.10
 llama 8B Q4_0                  	   4.33 GiB 	     8.03 B 	 CPU        	      10 	           tg128 	         13.40 ± 0.01 	         13.37 ± 0.00

Results with Q8 Model llama-cli 
./<build>/bin/llama-cli -m granite-4.0-h-micro-Q8_0.gguf -p "The journey into the heart of the Chamber of Whispering Archives became a descent into a psychological labyrinth. The low hum, once merely an ambient sound, now resonated within my very bones, a thousand overlapping frequencies that threatened to dismantle my sanity. The violet light, a constant companion, began to pulse and flicker with a manic rhythm, painting the crystalline rods in a dazzling, disorienting array of shifting colors. Each rod, each frozen memory, seemed to awaken as I passed. I no longer just felt the latent whispers; I saw them. Faint, ethereal apparitions of long-dead beings flickered around me, their faces etched with a silent, profound sorrow. They were not malicious, but their collective grief was a physical weight, pressing in on me from all sides. I was an intruder in their eternal wake, a dissonant chord in their symphony of loss" -t 20 -no-cnv

  Base  : 95.2 t/s PP; 26.5 t/s TG
Patch : 164.9 t/s PP; 26.8 t/s TG

Llama Perplexity Results: 

granite-4.0-h-micro-Q8_0      
Base Final PPL  Estimate:    1.3862 +/- 0.04424	         
Patch Final PPL Estimate:    1.3868 +/- 0.04432

Meta-Llama3-8b Q4	             
Base Final PPL Estimate:   1.3801 +/- 0.04116
Patch Final PPL Estimate:  1.3803 +/- 0.04116

*Make sure to read the [contributing guidelines](https://github.com/ggml-org/llama.cpp/blob/master/CONTRIBUTING.md) before submitting a PR*


Changed files:
filename: ggml/src/ggml-cpu/llamafile/sgemm-ppc.h
patch: @@ -1,333 +0,0 @@
-#pragma once
-
-typedef vector unsigned char vec_t;
-typedef __vector_quad acc_t;
-
-template <typename TA>
-class tinyBLAS_Q0_PPC {
-  public:
-    tinyBLAS_Q0_PPC(int64_t k,
-                    const TA *A, int64_t lda,
-                    const block_q8_0 *B, int64_t ldb,
-                    float *C, int64_t ldc,
-                    int ith, int nth);
-
-    void matmul(int64_t m, int64_t n);
-    void matmul_tiled_q0(int64_t m, int64_t n, int64_t mc, int64_t nc, int64_t kc) {
-        vec_t A_pack[mc*kc*2];
-        vec_t B_pack[nc*kc*2];
-        int comparray[mc*kc];
-        constexpr bool is_Ablock_q4 = std::is_same_v<TA, block_q4_0>;
-        int64_t ytiles = m / mc;
-        int64_t xtiles = n / nc;
-        int64_t tiles  = xtiles * ytiles;
-        int64_t duty = (tiles + nth - 1) / nth;
-        int64_t start = duty * ith;
-        int64_t end = start + duty;
-        if (end > tiles) {
-            end = tiles;
-        }
-        for (int64_t job = start; job < end; ++job) {
-            int64_t ii = (job / xtiles) * mc;
-            int64_t jj = (job % xtiles) * nc;
-            for (int64_t kk = 0; kk < k; kk += kc) {
-                if constexpr(is_Ablock_q4) {
-                    packNormalInt4_large(A + ii*lda + kk, lda, mc, 4, (int8_t*)A_pack, comparray);
-                } else {
-                    packNormal_large<int8_t, vector signed char>(A + ii*lda + kk, lda, mc, 8, (int8_t*)A_pack, false, comparray);
-                }
-                packNormal_large<uint8_t, vector unsigned char>(B + jj*ldb + kk, ldb, nc, 8, (uint8_t*)B_pack, true);
-                KERNEL_Q0(ii, jj, mc, nc, kc, kk, A_pack, B_pack, comparray);
-            }
-        }
-    }
-
-  private:
-    inline void save_res(int ii, int jj, int idx, vector float* fin_res, int RM=4, int RN=4) {
-        for (int I = 0; I < RM; I++) {
-            for (int J = 0; J < RN; J++) {
-                *((float*)(C+ii+((jj+J)*ldc)+I)) = *((float*)&fin_res[idx+I]+J);
-            }
-        }
-    }
-
-    inline void add_save_res(int ii, int jj, int idx, vector float* fin_res, int RM=4, int RN=4) {
-        for (int I = 0; I < RM; I++) {
-            for (int J = 0; J < RN; J++) {
-                float * c_ptr = (float *)(C+ii+((jj+J)*ldc)+I);
-                *c_ptr += *((float*)&fin_res[idx+I]+J);
-            }
-        }
-    }
-
-    template<typename ArrayType>
-    inline void compute(acc_t* ACC, int c_idx, int s_idx, ArrayType& comparray, vector float* vs, vector float* fin_res) {
-        vector signed int vec_C[4];
-        vector float CA[4] = {0};
-        vector float res[4] = {0};
-        __builtin_mma_disassemble_acc(vec_C, ACC);
-        for (int i = 0; i < 4; i++) {
-            CA[i] = vec_splats((float)(((double)comparray[c_idx+i]) * -128.0));
-            res[i] = vec_add(vec_ctf(vec_C[i], 0), CA[i]);
-            fin_res[s_idx+i] = vec_madd(res[i], vs[s_idx+i], fin_res[s_idx+i]);
-        }
-    }
-
-    inline void process_q4_elements(vector signed char (&c)[2], int* ca) {
-        const vector signed char lowMask = vec_splats((signed char)0xF);
-        const vector unsigned char v4 = vec_splats((unsigned char)0x4);
-        const vector signed char v8 = vec_splats((signed char)0x8);
-        vector signed int vsum = {0};
-        vector signed int vsum2 = {0};
-        c[0] = vec_and(c[1], lowMask);
-        c[1] = vec_sr(c[1], v4);
-        c[0] = vec_sub(c[0], v8);
-        c[1] = vec_sub(c[1], v8);
-        vsum = vec_sum4s(c[0], vsum);
-        vsum2 = vec_sum4s(c[1], vsum2);
-        vsum = vec_add(vsum, vsum2);
-        *(ca) = vsum[0] + vsum[1] + vsum[2] + vsum[3];
-    }
-
-    template <typename V1, typename V2>
-    inline void vector_permute_store(V2 &s1, V2 &s2, V2 &s3, V2 &s4, V1 *vecOffset, bool flip) {
-        vector unsigned char swiz1 = {0, 1, 2, 3, 4, 5, 6, 7, 16, 17, 18, 19, 20, 21, 22, 23};
-        vector unsigned char swiz2 = {8, 9, 10, 11, 12, 13, 14, 15, 24, 25, 26, 27, 28, 29, 30, 31};
-        vector unsigned char swiz3 = {0, 1, 2, 3, 8, 9, 10, 11, 16, 17, 18, 19, 24, 25, 26, 27};
-        vector unsigned char swiz4 = {4, 5, 6, 7, 12, 13, 14, 15, 20, 21, 22, 23, 28, 29, 30, 31};
-        V2 t1, t2, t3, t4, t5, t6, t7, t8;
-        vector unsigned char xor_vector;
-        uint8_t flip_vec = 0x80;
-        xor_vector = vec_splats(flip_vec);
-        t1 = vec_perm(s1, s2, swiz1);
-        t2 = vec_perm(s1, s2, swiz2);
-        t3 = vec_perm(s3, s4, swiz1);
-        t4 = vec_perm(s3, s4, swiz2);
-        t5 = vec_perm(t1, t3, swiz3);
-        t6 = vec_perm(t1, t3, swiz4);
-        t7 = vec_perm(t2, t4, swiz3);
-        t8 = vec_perm(t2, t4, swiz4);
-        if (flip == true) {
-            t5 = vec_xor(t5, xor_vector);
-            t6 = vec_xor(t6, xor_vector);
-            t7 = vec_xor(t7, xor_vector);
-            t8 = vec_xor(t8, xor_vector);
-        }
-        vec_xst(t5, 0, vecOffset);
-        vec_xst(t6, 0, vecOffset+16);
-        vec_xst(t7, 0, vecOffset+32);
-        vec_xst(t8, 0, vecOffset+48);
-    }
-
-    template<int RM, int RN>
-    inline void kernel(int64_t ii, int64_t jj) {
-        if constexpr(RM == 4 && RN == 8) {
-            KERNEL_4x8(ii,jj);
-        } else if constexpr(RM == 8 && RN == 4) {
-            KERNEL_8x4(ii,jj);
-        } else if constexpr(RM == 8 && RN == 8) {
-            KERNEL_8x8(ii,jj);
-        } else {
-            assert(false && "RN/RM values not supported");
-        }
-    }
-    template<int size>
-    void packNormalInt4(const TA* a, int64_t lda, int rows, int cols, int8_t* vec, std::array<int, size>& comparray);
-    template<typename VA, typename VB>
-    void packNormal(const block_q8_0* a, int64_t lda, int rows, int cols, VA* vec, bool flip);
-    void mnpack(int64_t m0, int64_t m, int64_t n0, int64_t n);
-    void KERNEL_4x8(int64_t ii, int64_t jj);
-    void KERNEL_8x4(int64_t ii, int64_t jj);
-    void KERNEL_8x8(int64_t ii, int64_t jj);
-    void gemm_small(int64_t m0, int64_t m, int64_t n0, int64_t n, int RM, int RN);
-    template <int RM, int RN>
-    void gemm(int64_t m0, int64_t m, int64_t n0, int64_t n);
-
-    void compute_scale(int64_t ii, int64_t jj, int blk, vector float* vs){
-        for (int I = 0; I<8; I++) {
-            float a_scale = unhalf((A+((ii+I)*lda)+blk)->d);
-            for (int J = 0; J<4; J++) {
-                *((float*)&vs[I]+J) = (a_scale * unhalf((B+((jj+J)*ldb)+blk)->d));
-                *((float*)&vs[I+8]+J) = (a_scale * unhalf((B+((jj+J+4)*ldb)+blk)->d));
-             }
-         }
-    }
-
-    inline void process_q8_elements(const int8_t *qs, int *ca) {
-        vector signed char c1 = vec_xl(0, qs);
-        vector signed char c2 = vec_xl(16, qs);
-        vector signed int vsum1 = {0};
-        vector signed int vsum2 = {0};
-        vsum1 = vec_sum4s(c1, vsum1);
-        vsum2 = vec_sum4s(c2, vsum2);
-        vector signed int vsum = vec_add(vsum1, vsum2);
-        *ca = vsum[0] + vsum[1] + vsum[2] + vsum[3];
-    }
-
-    template<typename VA, typename VB>
-    void packNormal_large(const block_q8_0* a, int64_t lda, int rows, int cols, VA* vec, bool flip, int* comparray=nullptr) {
-        int64_t i, j;
-        block_q8_0 *aoffset = NULL;
-        VA *vecOffset = NULL;
-        block_q8_0* aoffsets[8];
-        __vector_pair arr[8];
-        VB c[8][2] = {0};
-        VB c1[8] = {0}; VB c2[8] = {0};
-        aoffset = const_cast<block_q8_0*>(a);
-        vecOffset = vec;
-        j = (rows >> 3);
-        int index = 0;
-        if (j > 0) {
-            do {
-                for (int it = 0; it < 8; it++)
-                    aoffsets[it] = aoffset + it*lda;
-                aoffset += 8 * lda;
-                for (int blk = 0; blk < kc; blk++) {
-                    for (int it = 0; it < 8; it++) {
-                        arr[it] = __builtin_vsx_lxvp(0, (__vector_pair*)(aoffsets[it]+blk)->qs);
-                        __builtin_vsx_disassemble_pair(c[it], &arr[it]);
-                        c1[it] = c[it][0];
-                        c2[it] = c[it][1];
-                        if (comparray){
-                            process_q8_elements((aoffsets[it]+ blk)->qs, &comparray[index + 8*blk + it]);
-                        }
-                    }
-                    vector_permute_store<VA, VB>(c1[0], c1[1], c1[2], c1[3], vecOffset, flip);
-                    vector_permute_store<VA, VB>(c2[0], c2[1], c2[2], c2[3], vecOffset+64, flip);
-                    vector_permute_store<VA, VB>(c1[4], c1[5], c1[6], c1[7], vecOffset+128, flip);
-                    vector_permute_store<VA, VB>(c2[4], c2[5], c2[6], c2[7], vecOffset+192, flip);
-                    vecOffset += 256;
-                }
-                j--;
-                index += 8*kc;
-            } while(j > 0);
-        }
-
-    }
-
-    void packNormalInt4_large(const TA* a, int64_t lda, int rows, int cols, int8_t* vec, int*comparray) {
-        int64_t i, j;
-        TA *aoffset = NULL;
-        int8_t *vecOffset = NULL;
-        TA *aoffset1 = NULL, *aoffset2 = NULL, *aoffset3 = NULL, *aoffset4 = NULL;
-        TA *aoffset5 = NULL, *aoffset6 = NULL, *aoffset7 = NULL, *aoffset8 = NULL;
-        vector signed char c1[2] = {0}, c2[2] = {0}, c3[2] = {0}, c4[2] = {0};
-        vector signed char c5[2] = {0}, c6[2] = {0}, c7[2] = {0}, c8[2] = {0};
-        aoffset = const_cast<TA*>(a);
-        vecOffset = vec;
-        int index = 0;
-        j = (rows >> 3);
-        if (j > 0) {
-            do {
-                aoffset1 = aoffset;
-                aoffset2 = aoffset1 + lda;
-                aoffset3 = aoffset2 + lda;
-                aoffset4 = aoffset3 + lda;
-                aoffset5 = aoffset4 + lda;
-                aoffset6 = aoffset5 + lda;
-                aoffset7 = aoffset6 + lda;
-                aoffset8 = aoffset7 + lda;
-                aoffset += 8 * lda;
-                for (int blk = 0; blk < kc; blk++) {
-                    c1[1] = reinterpret_cast<vector signed char>(vec_xl(0, (aoffset1+blk)->qs));
-                    c2[1] = reinterpret_cast<vector signed char>(vec_xl(0, (aoffset2+blk)->qs));
-                    c3[1] = reinterpret_cast<vector signed char>(vec_xl(0, (aoffset3+blk)->qs));
-                    c4[1] = reinterpret_cast<vector signed char>(vec_xl(0, (aoffset4+blk)->qs));
-                    c5[1] = reinterpret_cast<vector signed char>(vec_xl(0, (aoffset5+blk)->qs));
-                    c6[1] = reinterpret_cast<vector signed char>(vec_xl(0, (aoffset6+blk)->qs));
-                    c7[1] = reinterpret_cast<vector signed char>(vec_xl(0, (aoffset7+blk)->qs));
-                    c8[1] = reinterpret_cast<vector signed char>(vec_xl(0, (aoffset8+blk)->qs));
-
-                    process_q4_elements(c1, &comparray[index + 8*blk+0]);
-                    process_q4_elements(c2, &comparray[index + 8*blk+1]);
-                    process_q4_elements(c3, &comparray[index + 8*blk+2]);
-                    process_q4_elements(c4, &comparray[index + 8*blk+3]);
-                    process_q4_elements(c5, &comparray[index + 8*blk+4]);
-                    process_q4_elements(c6, &comparray[index + 8*blk+5]);
-                    process_q4_elements(c7, &comparray[index + 8*blk+6]);
-                    process_q4_elements(c8, &comparray[index + 8*blk+7]);
-                    vector_permute_store<int8_t, vector signed char>(c1[0], c2[0], c3[0], c4[0], vecOffset, false);
-                    vector_permute_store<int8_t, vector signed char>(c1[1], c2[1], c3[1], c4[1], vecOffset+64, false);
-                    vector_permute_store<int8_t, vector signed char>(c5[0], c6[0], c7[0], c8[0], vecOffset+128, false);
-                    vector_permute_store<int8_t, vector signed char>(c5[1], c6[1], c7[1], c8[1], vecOffset+192, false);
-                    vecOffset += 256;
-                }
-                j--;
-                index += 8*kc;
-            } while (j > 0);
-        }
-    }
-
-    void KERNEL_Q0(int64_t ii, int64_t jj, int64_t mc, int64_t nc, int64_t kc, int64_t l, vec_t *vec_A, vec_t *vec_B, int *comparray) {
-        acc_t acc[8];
-        for (int i = 0; i < mc ; i += 8) {
-            for (int j = 0; j < nc; j += 8) {
-                vector float fin_res[16] = {0};
-                vector float vs[16] = {0};
-                for (int64_t kk = 0; kk < kc; kk+=2) {
-                    for (int x = 0; x < 8; x++) {
-                        __builtin_mma_xxsetaccz(&acc[x]);
-                    }
-                    int A_block_idx = (i/8)*(16*kc) + kk*16;
-                    int B_block_idx = (j/8)*(16*kc)+ kk*16;
-                    vec_t *A_block = &vec_A[A_block_idx];
-                    vec_t *B_block = &vec_B[B_block_idx];
-                    for (int x = 0; x < 8; x++) {
-                        __builtin_mma_xvi8ger4pp(&acc[0], A_block[x],     B_block[x]);
-                        __builtin_mma_xvi8ger4pp(&acc[1], A_block[x + 8], B_block[x]);
-                        __builtin_mma_xvi8ger4pp(&acc[2], A_block[x],     B_block[x+8]);
-                        __builtin_mma_xvi8ger4pp(&acc[3], A_block[x+8],   B_block[x+8]);
-                    }
-                    compute_scale(ii+i, jj+j, l+kk, vs);
-                    int c_index = (i/8)*(8*kc)+ kk*8;
-                    int* c_block = &comparray[c_index];
-                    compute(&acc[0], 0,  0,  c_block, vs, fin_res);
-                    compute(&acc[1], 4,  4,  c_block, vs, fin_res);
-                    compute(&acc[2], 0,  8,  c_block, vs, fin_res);
-                    compute(&acc[3], 4, 12,  c_block, vs, fin_res);
-
-                    A_block_idx = (i/8)*(16*kc) + (kk+1)*16;
-                    B_block_idx = (j/8)*(16*kc)+ (kk+1)*16;
-                    A_block = &vec_A[A_block_idx];
-                    B_block = &vec_B[B_block_idx];
-                    for (int x = 0; x < 8; x++) {
-                        __builtin_mma_xvi8ger4pp(&acc[4], A_block[x],     B_block[x]);
-                        __builtin_mma_xvi8ger4pp(&acc[5], A_block[x + 8], B_block[x]);
-                        __builtin_mma_xvi8ger4pp(&acc[6], A_block[x],     B_block[x+8]);
-                        __builtin_mma_xvi8ger4pp(&acc[7], A_block[x+8],   B_block[x+8]);
-                    }
-                    compute_scale(ii+i, jj+j, l+kk+1, vs);
-                    c_index = (i/8)*(8*kc)+ (kk+1)*8;
-                    c_block = &comparray[c_index];
-                    compute(&acc[4], 0,  0,  c_block, vs, fin_res);
-                    compute(&acc[5], 4,  4,  c_block, vs, fin_res);
-                    compute(&acc[6], 0,  8,  c_block, vs, fin_res);
-                    compute(&acc[7], 4, 12,  c_block, vs, fin_res);
-
-                }
-                if (l == 0) {
-                    save_res(ii+i,   jj+j,    0,  fin_res);
-                    save_res(ii+i+4, jj+j,    4,  fin_res);
-                    save_res(ii+i,   jj+j+4,  8,  fin_res);
-                    save_res(ii+i+4, jj+j+4, 12,  fin_res);
-                } else {
-                    add_save_res(ii+i,   jj+j,    0,  fin_res);
-                    add_save_res(ii+i+4, jj+j,    4,  fin_res);
-                    add_save_res(ii+i,   jj+j+4,  8,  fin_res);
-                    add_save_res(ii+i+4, jj+j+4, 12,  fin_res);
-                }
-            }
-        }
-    }
-
-    const TA *const A;
-    const block_q8_0 *const B;
-    float *C;
-    const int64_t k;
-    int64_t kc;
-    const int64_t lda;
-    const int64_t ldb;
-    const int64_t ldc;
-    const int ith;
-    const int nth;
-};

filename: ggml/src/ggml-cpu/llamafile/sgemm.cpp
patch: @@ -121,7 +121,8 @@ inline float32x4_t mul(float32x4_t x, float32x4_t y) { return vec_mul(x, y); }
 #endif
 
 #if defined(__MMA__)
-#include "sgemm-ppc.h"
+typedef vector unsigned char vec_t;
+typedef __vector_quad acc_t;
 #endif
 ////////////////////////////////////////////////////////////////////////////////////////////////////
 // VECTORIZED FUSED MULTIPLY ADD
@@ -2153,7 +2154,7 @@ class tinyBLAS_HP16_PPC {
             packNormal((B+(jj*ldb)+l), ldb, 8, 4, (uint8_t*)vec_B);
             for (int x = 0; x < 4; x++) {
                 mma_instr<TA>::outer_product(&acc_0, vec_A[x], vec_B[x]);
-                mma_instr<TA>::outer_product(&acc_1, vec_A[x], vec_B[x+4]);
+                mma_instr<TA>::outer_product(&acc_1, vec_A[x+4], vec_B[x]);
             }
         }
         SAVE_ACC(&acc_0, ii, jj);
@@ -2301,43 +2302,299 @@ class tinyBLAS_HP16_PPC {
     const int nth;
 };
 
-    template <typename TA>
-    tinyBLAS_Q0_PPC<TA>::tinyBLAS_Q0_PPC(int64_t k,
-        const TA *A, int64_t lda,
-        const block_q8_0 *B, int64_t ldb,
-        float *C, int64_t ldc,
-        int ith, int nth)
+template <typename TA>
+class tinyBLAS_Q0_PPC {
+  public:
+    tinyBLAS_Q0_PPC(int64_t k,
+             const TA * A, int64_t lda,
+             const block_q8_0 * B, int64_t ldb,
+             float * C, int64_t ldc,
+             int ith, int nth)
         : A(A), B(B), C(C), k(k), lda(lda), ldb(ldb), ldc(ldc), ith(ith), nth(nth) {
-                kc = 64;
     }
 
-    template<typename TA>
-    void tinyBLAS_Q0_PPC<TA>::matmul(int64_t m, int64_t n) {
-        int mc = 64; int nc = 64;
-        if (n % 8 == 0 && n < nc) {
-                nc = n;
-                mc = 32 ;
-                kc = 32;
-        }
-        const bool is_aligned = ((m & (mc - 1)) == 0) & ((n & (nc - 1)) == 0) & ((k & (kc - 1)) == 0);
-        if (is_aligned) {
-            this->matmul_tiled_q0(m, n, mc, nc, kc);
+    void matmul(int64_t m, int64_t n) {
+        const int64_t mc = 64;
+        const int64_t kc = 64;
+        int64_t nc = 64;
+        int64_t n_aligned = 0;
+        if (n % 64 == 0) {
+            n_aligned = n;
+        } else if (n == 4) {
+            n_aligned = 4;
+        } else if (n < 64) {
+            n_aligned = (n / 8) * 8;
+        } else {
+            n_aligned = (n / 64) * 64;
+        }
+
+        if (n_aligned > 0) {
+            if (n_aligned % 64 == 0)      nc = 64;
+            else if (n_aligned == n)      nc = n;
+            else if (n_aligned % 32 == 0) nc = 32;
+            else if (n_aligned % 24 == 0) nc = 24;
+            else if (n_aligned % 16 == 0) nc = 16;
+            else                          nc = 8;
+        }
+        bool can_use_tiled = n_aligned > 0 && (m % mc == 0) && (k % kc == 0);
+        if (can_use_tiled) {
+            matmul_tiled(m, n_aligned, mc, nc, kc);
+            if (n > n_aligned) {
+                mnpack(0, m, n_aligned, n);
+            }
         } else {
             mnpack(0, m, 0, n);
         }
     }
 
-   template<typename TA>
-   template<int size>
-   void tinyBLAS_Q0_PPC<TA>::packNormalInt4(const TA* a, int64_t lda, int rows, int cols, int8_t* vec, std::array<int, size>& comparray) {
+  private:
+    inline void save_res(int ii, int jj, int idx, vector float * fin_res, int RM = 4, int RN = 4) {
+        for (int I = 0; I < RM; I++) {
+            for (int J = 0; J < RN; J++) {
+                *((float *)(C + ii + ((jj + J) * ldc) + I)) = *((float *)&fin_res[idx + I] + J);
+            }
+        }
+    }
+
+    inline void save_acc(acc_t * ACC, int64_t ii, int64_t jj) {
+        vec_t vec_C[4];
+        __builtin_mma_disassemble_acc(vec_C, ACC);
+        for (int I = 0; I < 4; I++) {
+            for (int J = 0; J < 4; J++) {
+                *((float *)(C + ii + ((jj + J) * ldc) + I)) = *((float *)&vec_C[I] + J);
+            }
+        }
+    }
+
+    inline void add_save_acc(acc_t * ACC, int64_t ii, int64_t jj) {
+        vec_t vec_C[4];
+        __builtin_mma_disassemble_acc(vec_C, ACC);
+        for (int I = 0; I < 4; I++) {
+            for (int J = 0; J < 4; J++) {
+                float * c_ptr = (float *)(C + ii+ ((jj + J) * ldc) + I);
+                *c_ptr += *((float *)&vec_C[I] + J);
+            }
+        }
+    }
+
+    template<typename ArrayType>
+    inline void compute(acc_t * ACC, int c_idx, int s_idx, ArrayType & comparray, vector float * vs, vector float * fin_res) {
+        vector signed int vec_C[4];
+        vector float CA[4] = {0};
+        vector float res[4] = {0};
+        __builtin_mma_disassemble_acc(vec_C, ACC);
+        for (int i = 0; i < 4; i++) {
+            CA[i] = vec_splats((float)(((double)comparray[c_idx + i]) * -128.0));
+            res[i] = vec_add(vec_ctf(vec_C[i], 0), CA[i]);
+            fin_res[s_idx + i] = vec_madd(res[i], vs[s_idx + i], fin_res[s_idx + i]);
+        }
+    }
+
+    inline void process_q4_elements(vector signed char (&c)[2], int * ca) {
+        const vector signed char lowMask = vec_splats((signed char)0xF);
+        const vector unsigned char v4 = vec_splats((unsigned char)0x4);
+        const vector signed char v8 = vec_splats((signed char)0x8);
+        vector signed int vsum = {0};
+        vector signed int vsum2 = {0};
+        c[0] = vec_and(c[1], lowMask);
+        c[1] = vec_sr(c[1], v4);
+        c[0] = vec_sub(c[0], v8);
+        c[1] = vec_sub(c[1], v8);
+        vsum = vec_sum4s(c[0], vsum);
+        vsum2 = vec_sum4s(c[1], vsum2);
+        vsum = vec_add(vsum, vsum2);
+        *(ca) = vsum[0] + vsum[1] + vsum[2] + vsum[3];
+    }
+
+    template <typename V1, typename V2>
+    inline void vector_permute_store(V2 & s1, V2 & s2, V2 & s3, V2 & s4, V1 * vecOffset, bool flip) {
+        vector unsigned char swiz1 = {0, 1, 2, 3, 4, 5, 6, 7, 16, 17, 18, 19, 20, 21, 22, 23};
+        vector unsigned char swiz2 = {8, 9, 10, 11, 12, 13, 14, 15, 24, 25, 26, 27, 28, 29, 30, 31};
+        vector unsigned char swiz3 = {0, 1, 2, 3, 8, 9, 10, 11, 16, 17, 18, 19, 24, 25, 26, 27};
+        vector unsigned char swiz4 = {4, 5, 6, 7, 12, 13, 14, 15, 20, 21, 22, 23, 28, 29, 30, 31};
+        V2 t1, t2, t3, t4, t5, t6, t7, t8;
+        vector unsigned char xor_vector;
+        uint8_t flip_vec = 0x80;
+        xor_vector = vec_splats(flip_vec);
+        t1 = vec_perm(s1, s2, swiz1);
+        t2 = vec_perm(s1, s2, swiz2);
+        t3 = vec_perm(s3, s4, swiz1);
+        t4 = vec_perm(s3, s4, swiz2);
+        t5 = vec_perm(t1, t3, swiz3);
+        t6 = vec_perm(t1, t3, swiz4);
+        t7 = vec_perm(t2, t4, swiz3);
+        t8 = vec_perm(t2, t4, swiz4);
+        if (flip == true) {
+            t5 = vec_xor(t5, xor_vector);
+            t6 = vec_xor(t6, xor_vector);
+            t7 = vec_xor(t7, xor_vector);
+            t8 = vec_xor(t8, xor_vector);
+        }
+        vec_xst(t5, 0, vecOffset);
+        vec_xst(t6, 0, vecOffset + 16);
+        vec_xst(t7, 0, vecOffset + 32);
+        vec_xst(t8, 0, vecOffset + 48);
+    }
+
+    inline void unpack_q4_to_q8(vector signed char packed, vector signed char & lo, vector signed char & hi) {
+        const vector signed char lowMask = vec_splats((signed char)0x0F);
+        const vector signed char v8      = vec_splats((signed char)0x08);
+        const vector unsigned char v4    = vec_splats((unsigned char)4);
+        lo = vec_and(packed, lowMask);
+        hi = vec_sr(packed, v4);
+        lo = vec_sub(lo, v8);
+        hi = vec_sub(hi, v8);
+    }
+
+    inline void vector_permute_store_fp16(vec_t * c, unsigned char * vecOffset) {
+        vec_t t[8], s[8];
+        vec_t swiz1 = {0, 1, 2, 3, 16, 17, 18, 19, 4, 5, 6, 7, 20, 21, 22, 23};
+        vec_t swiz2 = {8, 9, 10, 11, 24, 25, 26, 27, 12, 13, 14, 15, 28, 29, 30, 31};
+        vec_t swiz3 = {0, 1, 2, 3, 4, 5, 6, 7, 16, 17, 18, 19, 20, 21, 22, 23};
+        vec_t swiz4 = {8, 9, 10, 11, 12, 13, 14, 15, 24, 25, 26, 27, 28, 29, 30, 31};
+        for (int i = 0; i < 4; i += 2) {
+            t[i + 0] = vec_perm(c[i + 0], c[i + 1], swiz1);
+            t[i + 1] = vec_perm(c[i + 0], c[i + 1], swiz2);
+        }
+        for (int i = 4; i < 8; i += 2) {
+            t[i + 0] = vec_perm(c[i + 0], c[i + 1], swiz1);
+            t[i + 1] = vec_perm(c[i + 0], c[i + 1], swiz2);
+        }
+        s[0] = vec_perm(t[0], t[2], swiz3);
+        s[1] = vec_perm(t[0], t[2], swiz4);
+        s[2] = vec_perm(t[1], t[3], swiz3);
+        s[3] = vec_perm(t[1], t[3], swiz4);
+        s[4] = vec_perm(t[4], t[6], swiz3);
+        s[5] = vec_perm(t[4], t[6], swiz4);
+        s[6] = vec_perm(t[5], t[7], swiz3);
+        s[7] = vec_perm(t[5], t[7], swiz4);
+        for (int i = 0; i < 8; ++i) {
+            vec_xst(s[i], 0, (vec_t *)(vecOffset + i * 16));
+        }
+    }
+
+    static inline void convert_and_scale_q8(vector signed char raw, vector float v_scale, vector unsigned short & out_hi, vector unsigned short & out_lo) {
+        vector signed short i16_hi = vec_unpackh(raw);
+        vector signed short i16_lo = vec_unpackl(raw);
+
+        vector float f_hi_h = vec_ctf(vec_unpackh(i16_hi), 0);
+        vector float f_hi_l = vec_ctf(vec_unpackl(i16_hi), 0);
+        vector float f_lo_h = vec_ctf(vec_unpackh(i16_lo), 0);
+        vector float f_lo_l = vec_ctf(vec_unpackl(i16_lo), 0);
+        out_hi = vec_pack_to_short_fp32(vec_mul(f_hi_h, v_scale), vec_mul(f_hi_l, v_scale));
+        out_lo = vec_pack_to_short_fp32(vec_mul(f_lo_h, v_scale), vec_mul(f_lo_l, v_scale));
+    }
+
+    void packNormal_q4_fp16(const block_q4_0 * a, int64_t lda, int rows, int blocks, unsigned char * vec) {
+        unsigned char * vecOffset = vec;
+        for (int i = 0; i < rows; i += 8) {
+            const block_q4_0 * rows_base[8];
+            for (int r = 0; r < 8; r++) {
+                rows_base[r] = a + (i + r) * lda;
+            }
+            for (int blk = 0; blk < blocks; blk++) {
+                vector unsigned short hp_res[8][4];
+                for (int r = 0; r < 8; r++) {
+                    const block_q4_0 * current_blk = rows_base[r] + blk;
+                    vector float v_scale = vec_extract_fp32_from_shorth(vec_splats(current_blk->d));
+                    vector signed char v_qs = reinterpret_cast<vector signed char>(vec_xl(0, current_blk->qs));
+                    vector signed char c1, c2;
+                    unpack_q4_to_q8(v_qs, c1, c2);
+                    convert_and_scale_q8(c1, v_scale, hp_res[r][0], hp_res[r][1]);
+                    convert_and_scale_q8(c2, v_scale, hp_res[r][2], hp_res[r][3]);
+                }
+                for (int c = 0; c < 4; c++) {
+                    vector unsigned char c_arr[8];
+                    for (int r = 0; r < 8; r++) {
+                        c_arr[r] = (vector unsigned char)hp_res[r][c];
+                    }
+                    vector_permute_store_fp16((vec_t *)c_arr, vecOffset);
+                    vecOffset += 128;
+                }
+            }
+        }
+    }
+
+    template <int chunk_size>
+    static inline void pack_q8_block(const block_q8_0 * a, int64_t lda, int rows, int blocks, unsigned char * vec) {
+        unsigned char * vecOffset = vec;
+        const vec_t swiz1 = {0, 1, 2, 3, 16, 17, 18, 19, 4, 5, 6, 7, 20, 21, 22, 23};
+        const vec_t swiz2 = {8, 9, 10, 11, 24, 25, 26, 27, 12, 13, 14, 15, 28, 29, 30, 31};
+        const vec_t swiz3 = {0, 1, 2, 3, 4, 5, 6, 7, 16, 17, 18, 19, 20, 21, 22, 23};
+        const vec_t swiz4 = {8, 9, 10, 11, 12, 13, 14, 15, 24, 25, 26, 27, 28, 29, 30, 31};
+
+        for (int i = 0; i < rows; i += chunk_size) {
+            const block_q8_0 * rows_base[chunk_size];
+            for (int r = 0; r < chunk_size; r++) {
+                rows_base[r] = a + (i + r) * lda;
+            }
+            for (int blk = 0; blk < blocks; blk++) {
+                vector unsigned short hp_res[chunk_size][4];
+                for (int r = 0; r < chunk_size; r++) {
+                    const block_q8_0 * b = rows_base[r] + blk;
+                    vector float v_scale = vec_extract_fp32_from_shorth(vec_splats(b->d));
+                    vector signed char c[2];
+                    __vector_pair pair = __builtin_vsx_lxvp(0, (__vector_pair *)b->qs);
+                    __builtin_vsx_disassemble_pair(c, & pair);
+                    convert_and_scale_q8(c[0], v_scale, hp_res[r][0], hp_res[r][1]);
+                    convert_and_scale_q8(c[1], v_scale, hp_res[r][2], hp_res[r][3]);
+                }
+                for (int col = 0; col < 4; col++) {
+                    if constexpr (chunk_size == 8) {
+                        vec_t t[8];
+                        t[0] = vec_perm((vec_t)hp_res[0][col], (vec_t)hp_res[1][col], swiz1);
+                        t[1] = vec_perm((vec_t)hp_res[0][col], (vec_t)hp_res[1][col], swiz2);
+                        t[2] = vec_perm((vec_t)hp_res[2][col], (vec_t)hp_res[3][col], swiz1);
+                        t[3] = vec_perm((vec_t)hp_res[2][col], (vec_t)hp_res[3][col], swiz2);
+                        t[4] = vec_perm((vec_t)hp_res[4][col], (vec_t)hp_res[5][col], swiz1);
+                        t[5] = vec_perm((vec_t)hp_res[4][col], (vec_t)hp_res[5][col], swiz2);
+                        t[6] = vec_perm((vec_t)hp_res[6][col], (vec_t)hp_res[7][col], swiz1);
+                        t[7] = vec_perm((vec_t)hp_res[6][col], (vec_t)hp_res[7][col], swiz2);
+
+                        vec_xst(vec_perm(t[0], t[2], swiz3), 0, (vec_t *)(vecOffset + 0));
+                        vec_xst(vec_perm(t[0], t[2], swiz4), 0, (vec_t *)(vecOffset + 16));
+                        vec_xst(vec_perm(t[1], t[3], swiz3), 0, (vec_t *)(vecOffset + 32));
+                        vec_xst(vec_perm(t[1], t[3], swiz4), 0, (vec_t *)(vecOffset + 48));
+                        vec_xst(vec_perm(t[4], t[6], swiz3), 0, (vec_t *)(vecOffset + 64));
+                        vec_xst(vec_perm(t[4], t[6], swiz4), 0, (vec_t *)(vecOffset + 80));
+                        vec_xst(vec_perm(t[5], t[7], swiz3), 0, (vec_t *)(vecOffset + 96));
+                        vec_xst(vec_perm(t[5], t[7], swiz4), 0, (vec_t *)(vecOffset + 112));
+                        vecOffset += 128;
+                    } else {
+                        vec_t t0 = vec_perm((vec_t)hp_res[0][col], (vec_t)hp_res[1][col], swiz1);
+                        vec_t t1 = vec_perm((vec_t)hp_res[0][col], (vec_t)hp_res[1][col], swiz2);
+                        vec_t t2 = vec_perm((vec_t)hp_res[2][col], (vec_t)hp_res[3][col], swiz1);
+                        vec_t t3 = vec_perm((vec_t)hp_res[2][col], (vec_t)hp_res[3][col], swiz2);
+
+                        vec_xst(vec_perm(t0, t2, swiz3), 0, (vec_t *)(vecOffset + 0));
+                        vec_xst(vec_perm(t0, t2, swiz4), 0, (vec_t *)(vecOffset + 16));
+                        vec_xst(vec_perm(t1, t3, swiz3), 0, (vec_t *)(vecOffset + 32));
+                        vec_xst(vec_perm(t1, t3, swiz4), 0, (vec_t *)(vecOffset + 48));
+                        vecOffset += 64;
+                    }
+                }
+            }
+        }
+    }
+
+    void packNormal_q8_fp16(const block_q8_0 * a, int64_t lda, int rows, int blocks, unsigned char * vec) {
+        if (rows == 4) {
+            pack_q8_block<4>(a, lda, rows, blocks, vec);
+        } else {
+            pack_q8_block<8>(a, lda, rows, blocks, vec);
+        }
+    }
+
+    template<int size>
+    void packNormalInt4(const TA * a, int64_t lda, int rows, int cols, int8_t * vec, std::array<int, size> & comparray) {
         int64_t i, j;
-        TA *aoffset = NULL;
-        int8_t *vecOffset = NULL;
-        TA *aoffset1 = NULL, *aoffset2 = NULL, *aoffset3 = NULL, *aoffset4 = NULL;
-        TA *aoffset5 = NULL, *aoffset6 = NULL, *aoffset7 = NULL, *aoffset8 = NULL;
+        TA * aoffset = NULL;
+        int8_t * vecOffset = NULL;
+        TA * aoffset1 = NULL, * aoffset2 = NULL, * aoffset3 = NULL, * aoffset4 = NULL;
+        TA * aoffset5 = NULL, * aoffset6 = NULL, * aoffset7 = NULL, * aoffset8 = NULL;
         vector signed char c1[2] = {0}, c2[2] = {0}, c3[2] = {0}, c4[2] = {0};
         vector signed char c5[2] = {0}, c6[2] = {0}, c7[2] = {0}, c8[2] = {0};
-        aoffset = const_cast<TA*>(a);
+        aoffset = const_cast<TA *>(a);
         vecOffset = vec;
         j = (rows >> 3);
         if (j > 0) {
@@ -2363,18 +2620,18 @@ class tinyBLAS_HP16_PPC {
                         c7[1] = reinterpret_cast<vector signed char>(vec_xl(0, aoffset7->qs));
                         c8[1] = reinterpret_cast<vector signed char>(vec_xl(0, aoffset8->qs));
 
-                        process_q4_elements(c1, &comparray[0]);
-                        process_q4_elements(c2, &comparray[1]);
-                        process_q4_elements(c3, &comparray[2]);
-                        process_q4_elements(c4, &comparray[3]);
-                        process_q4_elements(c5, &comparray[4]);
-                        process_q4_elements(c6, &comparray[5]);
-                        process_q4_elements(c7, &comparray[6]);
-                        process_q4_elements(c8, &comparray[7]);
+                        process_q4_elements(c1, & comparray[0]);
+                        process_q4_elements(c2, & comparray[1]);
+                        process_q4_elements(c3, & comparray[2]);
+                        process_q4_elements(c4, & comparray[3]);
+                        process_q4_elements(c5, & comparray[4]);
+                        process_q4_elements(c6, & comparray[5]);
+                        process_q4_elements(c7, & comparray[6]);
+                        process_q4_elements(c8, & comparray[7]);
                         vector_permute_store<int8_t, vector signed char>(c1[0], c2[0], c3[0], c4[0], vecOffset, false);
-                        vector_permute_store<int8_t, vector signed char>(c1[1], c2[1], c3[1], c4[1], vecOffset+64, false);
-                        vector_permute_store<int8_t, vector signed char>(c5[0], c6[0], c7[0], c8[0], vecOffset+128, false);
-                        vector_permute_store<int8_t, vector signed char>(c5[1], c6[1], c7[1], c8[1], vecOffset+192, false);
+                        vector_permute_store<int8_t, vector signed char>(c1[1], c2[1], c3[1], c4[1], vecOffset + 64, false);
+                        vector_permute_store<int8_t, vector signed char>(c5[0], c6[0], c7[0], c8[0], vecOffset + 128, false);
+                        vector_permute_store<int8_t, vector signed char>(c5[1], c6[1], c7[1], c8[1], vecOffset + 192, false);
                         aoffset1 += lda;
                         aoffset2 += lda;
                         aoffset3 += lda;
@@ -2405,12 +2662,12 @@ class tinyBLAS_HP16_PPC {
                     c3[1] = reinterpret_cast<vector signed char>(vec_xl(0, aoffset3->qs));
                     c4[1] = reinterpret_cast<vector signed char>(vec_xl(0, aoffset4->qs));
 
-                    process_q4_elements(c1, &comparray[0]);
-                    process_q4_elements(c2, &comparray[1]);
-                    process_q4_elements(c3, &comparray[2]);
-                    process_q4_elements(c4, &comparray[3]);
+                    process_q4_elements(c1, & comparray[0]);
+                    process_q4_elements(c2, & comparray[1]);
+                    process_q4_elements(c3, & comparray[2]);
+                    process_q4_elements(c4, & comparray[3]);
                     vector_permute_store<int8_t, vector signed char>(c1[0], c2[0], c3[0], c4[0], vecOffset, false);
-                    vector_permute_store<int8_t, vector signed char>(c1[1], c2[1], c3[1], c4[1], vecOffset+64, false);
+                    vector_permute_store<int8_t, vector signed char>(c1[1], c2[1], c3[1], c4[1], vecOffset + 64, false);
                     aoffset1 += lda;
                     aoffset2 += lda;
                     aoffset3 += lda;
@@ -2434,12 +2691,12 @@ class tinyBLAS_HP16_PPC {
                         case 1: c1[1] = reinterpret_cast<vector signed char>(vec_xl(0, aoffset1->qs));
                             break;
                     }
-                    process_q4_elements(c1, &comparray[0]);
-                    process_q4_elements(c2, &comparray[1]);
-                    process_q4_elements(c3, &comparray[2]);
-                    process_q4_elements(c4, &comparray[3]);
+                    process_q4_elements(c1, & comparray[0]);
+                    process_q4_elements(c2, & comparray[1]);
+                    process_q4_elements(c3, & comparray[2]);
+                    process_q4_elements(c4, & comparray[3]);
                     vector_permute_store<int8_t, vector signed char>(c1[0], c2[0], c3[0], c4[0], vecOffset, false);
-                    vector_permute_store<int8_t, vector signed char>(c1[1], c2[1], c3[1], c4[1], vecOffset+64, false);
+                    vector_permute_store<int8_t, vector signed char>(c1[1], c2[1], c3[1], c4[1], vecOffset + 64, false);
                     aoffset1 += lda;
                     aoffset2 += lda;
                     aoffset3 += lda;
@@ -2450,39 +2707,38 @@ class tinyBLAS_HP16_PPC {
         }
     }
 
-    template<typename TA>
     template<typename VA, typename VB>
-    void tinyBLAS_Q0_PPC<TA>::packNormal(const block_q8_0* a, int64_t lda, int rows, int cols, VA* vec, bool flip) {
+    void packNormal(const block_q8_0 * a, int64_t lda, int rows, int cols, VA * vec, bool flip) {
         int64_t i, j;
-        block_q8_0 *aoffset = NULL;
-        VA *vecOffset = NULL;
-        block_q8_0* aoffsets[8];
+        block_q8_0 * aoffset = NULL;
+        VA * vecOffset = NULL;
+        block_q8_0 * aoffsets[8];
         __vector_pair arr[8];
         VB c[8][2] = {0};
         VB c1[8] = {0}; VB c2[8] = {0};
-        aoffset = const_cast<block_q8_0*>(a);
+        aoffset = const_cast<block_q8_0 *>(a);
         vecOffset = vec;
         j = (rows >> 3);
         if (j > 0) {
             do {
                 aoffsets[0] = aoffset;
                 for (int it = 1; it < 8; it++)
-                    aoffsets[it] = aoffsets[it-1] + lda;
+                    aoffsets[it] = aoffsets[it - 1] + lda;
                 aoffset += 8 * lda;
 
                 i = (cols >> 3);
                 if (i > 0) {
                 do {
                     for (int it = 0; it < 8; it++) {
-                        arr[it] = __builtin_vsx_lxvp(0, (__vector_pair*)aoffsets[it]->qs);
-                        __builtin_vsx_disassemble_pair(c[it], &arr[it]);
+                        arr[it] = __builtin_vsx_lxvp(0, (__vector_pair *)aoffsets[it]->qs);
+                        __builtin_vsx_disassemble_pair(c[it], & arr[it]);
                         c1[it] = c[it][0];
                         c2[it] = c[it][1];
                     }
                     vector_permute_store<VA, VB>(c1[0], c1[1], c1[2], c1[3], vecOffset, flip);
-                    vector_permute_store<VA, VB>(c2[0], c2[1], c2[2], c2[3], vecOffset+64, flip);
-                    vector_permute_store<VA, VB>(c1[4], c1[5], c1[6], c1[7], vecOffset+128, flip);
-                    vector_permute_store<VA, VB>(c2[4], c2[5], c2[6], c2[7], vecOffset+192, flip);
+                    vector_permute_store<VA, VB>(c2[0], c2[1], c2[2], c2[3], vecOffset + 64, flip);
+                    vector_permute_store<VA, VB>(c1[4], c1[5], c1[6], c1[7], vecOffset + 128, flip);
+                    vector_permute_store<VA, VB>(c2[4], c2[5], c2[6], c2[7], vecOffset + 192, flip);
                     for (int it = 0; it < 8; it++)
                         aoffsets[it] += lda;
                     vecOffset += 256;
@@ -2501,13 +2757,13 @@ class tinyBLAS_HP16_PPC {
             if (i > 0) {
                do {
                     for (int it = 0; it < 4; it++) {
-                        arr[it] = __builtin_vsx_lxvp(0, (__vector_pair*)aoffsets[it]->qs);
-                        __builtin_vsx_disassemble_pair(c[it], &arr[it]);
+                        arr[it] = __builtin_vsx_lxvp(0, (__vector_pair *)aoffsets[it]->qs);
+                        __builtin_vsx_disassemble_pair(c[it], & arr[it]);
                         c1[it] = c[it][0];
                         c2[it] = c[it][1];
                     }
                     vector_permute_store<VA, VB>(c1[0], c1[1], c1[2], c1[3], vecOffset, flip);
-                    vector_permute_store<VA, VB>(c2[0], c2[1], c2[2], c2[3], vecOffset+64, flip);
+                    vector_permute_store<VA, VB>(c2[0], c2[1], c2[2], c2[3], vecOffset + 64, flip);
                     for (int it = 0; it < 4; it++) {
                         aoffsets[it] += lda;
                     }
@@ -2520,24 +2776,24 @@ class tinyBLAS_HP16_PPC {
         if (rows & 3) {
             aoffsets[0]  = aoffset;
             for (int it = 1; it < 3; it++ )
-                aoffsets[it] = aoffsets[it-1] + lda;
+                aoffsets[it] = aoffsets[it - 1] + lda;
             i = (cols >> 3);
             if (i > 0) {
                 do {
                     switch(rows) {
-                        case 3: arr[2] = __builtin_vsx_lxvp(0, (__vector_pair*)aoffsets[2]->qs);
-                                __builtin_vsx_disassemble_pair(c[2], &arr[2]);
+                        case 3: arr[2] = __builtin_vsx_lxvp(0, (__vector_pair *)aoffsets[2]->qs);
+                                __builtin_vsx_disassemble_pair(c[2], & arr[2]);
                                 c1[2] = c[2][0]; c2[2] = c[2][1];
-                        case 2: arr[1] = __builtin_vsx_lxvp(0, (__vector_pair*)aoffsets[1]->qs);
-                                __builtin_vsx_disassemble_pair(c[1], &arr[1]);
+                        case 2: arr[1] = __builtin_vsx_lxvp(0, (__vector_pair *)aoffsets[1]->qs);
+                                __builtin_vsx_disassemble_pair(c[1], & arr[1]);
                                 c1[1] = c[1][0]; c2[1] = c[1][1];
-                        case 1: arr[0] = __builtin_vsx_lxvp(0, (__vector_pair*)aoffsets[0]->qs);
-                                __builtin_vsx_disassemble_pair(c[0], &arr[0]);
+                        case 1: arr[0] = __builtin_vsx_lxvp(0, (__vector_pair *)aoffsets[0]->qs);
+                                __builtin_vsx_disassemble_pair(c[0], & arr[0]);
                                 c1[0] = c[0][0]; c2[0] = c[0][1];
                                 break;
                     }
                     vector_permute_store<VA, VB>(c1[0], c1[1], c1[2], c1[3], vecOffset, flip);
-                    vector_permute_store<VA, VB>(c2[0], c2[1], c2[2], c2[3], vecOffset+64, flip);
+                    vector_permute_store<VA, VB>(c2[0], c2[1], c2[2], c2[3], vecOffset + 64, flip);
                     for (int it = 0; it < 3; it++)
                          aoffsets[it] += lda;
                     vecOffset += 128;
@@ -2547,8 +2803,7 @@ class tinyBLAS_HP16_PPC {
         }
     }
 
-    template<typename TA>
-    void tinyBLAS_Q0_PPC<TA>::mnpack(int64_t m0, int64_t m, int64_t n0, int64_t n) {
+    void mnpack(int64_t m0, int64_t m, int64_t n0, int64_t n) {
         int m_rem = MIN(m - m0, 16);
         int n_rem = MIN(n - n0, 16);
 
@@ -2585,35 +2840,34 @@ class tinyBLAS_HP16_PPC {
     }
 
 
-    template<typename TA>
-    void tinyBLAS_Q0_PPC<TA>::KERNEL_4x8(int64_t ii, int64_t jj) {
+    void KERNEL_4x8(int64_t ii, int64_t jj) {
         vec_t vec_A[8], vec_B[16] = {0};
         acc_t acc_0, acc_1;
         std::array<int, 4> comparray {};
         vector float fin_res[8] = {0};
         vector float vs[8] = {0};
         bool isAblock_q4 = std::is_same_v<TA, block_q4_0>;
         for (int l = 0; l < k; l++) {
-            __builtin_mma_xxsetaccz(&acc_0);
-            __builtin_mma_xxsetaccz(&acc_1);
+            __builtin_mma_xxsetaccz(& acc_0);
+            __builtin_mma_xxsetaccz(& acc_1);
             if (std::is_same_v<TA, block_q4_0>) {
-               packNormalInt4<4>((A+(ii*lda)+l), lda, 4, 4, (int8_t*)vec_A, comparray);
+               packNormalInt4<4>((A + (ii * lda) + l), lda, 4, 4, (int8_t *)vec_A, comparray);
             } else {
-               packNormal<int8_t, vector signed char>((const block_q8_0*)(A+(ii*lda)+l), lda, 4, 8, (int8_t*)vec_A, false);
+               packNormal<int8_t, vector signed char>((const block_q8_0 *)(A + (ii * lda) + l), lda, 4, 8, (int8_t *)vec_A, false);
             }
-            packNormal<uint8_t, vector unsigned char>((B+(jj*ldb)+l), ldb, 8, 8, (uint8_t*)vec_B, true);
+            packNormal<uint8_t, vector unsigned char>((B + (jj * ldb) + l), ldb, 8, 8, (uint8_t *)vec_B, true);
             for(int x = 0; x < 8; x++) {
-                __builtin_mma_xvi8ger4pp(&acc_0, vec_A[x], vec_B[x]);
-                __builtin_mma_xvi8ger4pp(&acc_1, vec_A[x], vec_B[x+8]);
+                __builtin_mma_xvi8ger4pp(& acc_0, vec_A[x], vec_B[x]);
+                __builtin_mma_xvi8ger4pp(& acc_1, vec_A[x], vec_B[x+8]);
             }
             for (int I = 0; I<4; I++) {
                 for (int J = 0; J<4; J++) {
-                    *((float*)&vs[I]+J) = (unhalf((A+((ii+I)*lda)+l)->d) * unhalf((B+((jj+J)*ldb)+l)->d));
-                    *((float*)&vs[I+4]+J) = (unhalf((A+((ii+I)*lda)+l)->d) * unhalf((B+((jj+J+4)*ldb)+l)->d));
+                    *((float *)& vs[I] + J) = (unhalf((A + ((ii + I) * lda) + l)->d) * unhalf((B + ((jj + J) * ldb) + l)->d));
+                    *((float *)& vs[I + 4] + J) = (unhalf((A +((ii + I) * lda) + l)->d) * unhalf((B + ((jj + J + 4) * ldb) + l)->d));
                 }
             }
             if (!isAblock_q4) {
-                auto aoffset = A+(ii*lda)+l;
+                auto aoffset = A + (ii * lda) + l;
                 for (int i = 0; i < 4; i++) {
                     comparray[i] = 0;
                     int ca = 0;
@@ -2624,41 +2878,40 @@ class tinyBLAS_HP16_PPC {
                     aoffset += lda;
                 }
             }
-            compute(&acc_0, 0, 0, comparray, vs, fin_res);
-            compute(&acc_1, 0, 4, comparray, vs, fin_res);
+            compute(& acc_0, 0, 0, comparray, vs, fin_res);
+            compute(& acc_1, 0, 4, comparray, vs, fin_res);
         }
         save_res(ii, jj, 0, fin_res);
-        save_res(ii, jj+4, 4, fin_res);
+        save_res(ii, jj + 4, 4, fin_res);
     }
 
-    template<typename TA>
-    void tinyBLAS_Q0_PPC<TA>::KERNEL_8x4(int64_t ii, int64_t jj) {
+    void KERNEL_8x4(int64_t ii, int64_t jj) {
         vec_t vec_A[16], vec_B[8] = {0};
         acc_t acc_0, acc_1;
         std::array<int, 8> comparray {};
         vector float fin_res[8] = {0};
         vector float vs[8] = {0};
         bool isAblock_q4 = std::is_same_v<TA, block_q4_0>;
         for (int l = 0; l < k; l++) {
-            __builtin_mma_xxsetaccz(&acc_0);
-            __builtin_mma_xxsetaccz(&acc_1);
+            __builtin_mma_xxsetaccz(& acc_0);
+            __builtin_mma_xxsetaccz(& acc_1);
             if (std::is_same_v<TA, block_q4_0>) {
-               packNormalInt4<8>((A+(ii*lda)+l), lda, 8, 4, (int8_t*)vec_A, comparray);
+               packNormalInt4<8>((A + (ii * lda) + l), lda, 8, 4, (int8_t *)vec_A, comparray);
             } else {
-               packNormal<int8_t, vector signed char>((const block_q8_0*)(A+(ii*lda)+l), lda, 8, 8, (int8_t*)vec_A, false);
+               packNormal<int8_t, vector signed char>((const block_q8_0 *)(A + (ii * lda) + l), lda, 8, 8, (int8_t *)vec_A, false);
             }
-            packNormal<uint8_t, vector unsigned char>((B+(jj*ldb)+l), ldb, 4, 8, (uint8_t*)vec_B, true);
+            packNormal<uint8_t, vector unsigned char>((B + (jj * ldb) + l), ldb, 4, 8, (uint8_t *)vec_B, true);
             for(int x = 0; x < 8; x++) {
-                __builtin_mma_xvi8ger4pp(&acc_0, vec_A[x], vec_B[x]);
-                __builtin_mma_xvi8ger4pp(&acc_1, vec_A[x+8], vec_B[x]);
+                __builtin_mma_xvi8ger4pp(& acc_0, vec_A[x], vec_B[x]);
+                __builtin_mma_xvi8ger4pp(& acc_1, vec_A[x + 8], vec_B[x]);
             }
-            for (int I = 0; I<8; I++) {
-                for (int J = 0; J<4; J++) {
-                    *((float*)&vs[I]+J) = (unhalf((A+((ii+I)*lda)+l)->d) * unhalf((B+((jj+J)*ldb)+l)->d));
+            for (int I = 0; I < 8; I++) {
+                for (int J = 0; J < 4; J++) {
+                    *((float *)&vs[I] + J) = (unhalf((A + ((ii + I) * lda) + l)->d) * unhalf((B + ((jj + J) * ldb) + l)->d));
                 }
             }
             if (!isAblock_q4) {
-                auto aoffset = A+(ii*lda)+l;
+                auto aoffset = A + (ii * lda) + l;
                 for (int i = 0; i < 8; i++) {
                     comparray[i] = 0;
                     int ca = 0;
@@ -2669,15 +2922,14 @@ class tinyBLAS_HP16_PPC {
                     aoffset += lda;
                 }
             }
-            compute(&acc_0, 0, 0, comparray, vs, fin_res);
-            compute(&acc_1, 4, 4, comparray, vs, fin_res);
+            compute(& acc_0, 0, 0, comparray, vs, fin_res);
+            compute(& acc_1, 4, 4, comparray, vs, fin_res);
         }
         save_res(ii, jj, 0, fin_res);
-        save_res(ii+4, jj, 4, fin_res);
+        save_res(ii + 4, jj, 4, fin_res);
     }
 
-    template<typename TA>
-    void tinyBLAS_Q0_PPC<TA>::KERNEL_8x8(int64_t ii, int64_t jj) {
+    void KERNEL_8x8(int64_t ii, int64_t jj) {
         vec_t vec_A[16], vec_B[16] = {0};
         acc_t acc_0, acc_1, acc_2, acc_3;
         acc_t acc_4, acc_5, acc_6, acc_7;
@@ -2686,30 +2938,30 @@ class tinyBLAS_HP16_PPC {
         vector float vs[16] = {0};
         bool isAblock_q4 = std::is_same_v<TA, block_q4_0>;
         for (int l = 0; l < k; l++) {
-            __builtin_mma_xxsetaccz(&acc_0);
-            __builtin_mma_xxsetaccz(&acc_1);
-            __builtin_mma_xxsetaccz(&acc_2);
-            __builtin_mma_xxsetaccz(&acc_3);
+            __builtin_mma_xxsetaccz(& acc_0);
+            __builtin_mma_xxsetaccz(& acc_1);
+            __builtin_mma_xxsetaccz(& acc_2);
+            __builtin_mma_xxsetaccz(& acc_3);
             if (std::is_same_v<TA, block_q4_0>) {
-               packNormalInt4<8>((A+(ii*lda)+l), lda, 8, 4, (int8_t*)vec_A, comparray);
+               packNormalInt4<8>((A + (ii * lda) + l), lda, 8, 4, (int8_t *)vec_A, comparray);
             } else {
-               packNormal<int8_t, vector signed char>((const block_q8_0*)(A+(ii*lda)+l), lda, 8, 8, (int8_t*)vec_A, false);
+               packNormal<int8_t, vector signed char>((const block_q8_0 *)(A + (ii * lda) + l), lda, 8, 8, (int8_t *)vec_A, false);
             }
-            packNormal<uint8_t, vector unsigned char>((B+(jj*ldb)+l), ldb, 8, 8, (uint8_t*)vec_B, true);
+            packNormal<uint8_t, vector unsigned char>((B + (jj * ldb) + l), ldb, 8, 8, (uint8_t *)vec_B, true);
             for(int x = 0; x < 8; x++) {
-                __builtin_mma_xvi8ger4pp(&acc_0, vec_A[x], vec_B[x]);
-                __builtin_mma_xvi8ger4pp(&acc_1, vec_A[x+8], vec_B[x]);
-                __builtin_mma_xvi8ger4pp(&acc_2, vec_A[x], vec_B[x+8]);
-                __builtin_mma_xvi8ger4pp(&acc_3, vec_A[x+8], vec_B[x+8]);
+                __builtin_mma_xvi8ger4pp(& acc_0, vec_A[x], vec_B[x]);
+                __builtin_mma_xvi8ger4pp(& acc_1, vec_A[x + 8], vec_B[x]);
+                __builtin_mma_xvi8ger4pp(& acc_2, vec_A[x], vec_B[x + 8]);
+                __builtin_mma_xvi8ger4pp(& acc_3, vec_A[x + 8], vec_B[x + 8]);
             }
-            for (int I = 0; I<8; I++) {
-                for (int J = 0; J<4; J++) {
-                    *((float*)&vs[I]+J) = (unhalf((A+((ii+I)*lda)+l)->d) * unhalf((B+((jj+J)*ldb)+l)->d));
-                    *((float*)&vs[I+8]+J) = (unhalf((A+((ii+I)*lda)+l)->d) * unhalf((B+((jj+J+4)*ldb)+l)->d));
+            for (int I = 0; I < 8 ; I++) {
+                for (int J = 0; J < 4; J++) {
+                    *((float *)& vs[I] + J) = (unhalf((A + ((ii + I) * lda) + l)->d) * unhalf((B + ((jj + J) * ldb) + l)->d));
+                    *((float *)& vs[I + 8] + J) = (unhalf((A + ((ii + I) * lda) + l)->d) * unhalf((B + ((jj + J + 4) * ldb) + l)->d));
                 }
             }
             if (!isAblock_q4) {
-                auto aoffset = A+(ii*lda)+l;
+                auto aoffset = A + (ii * lda) + l;
                 for (int i = 0; i < 8; i++) {
                     comparray[i] = 0;
                     int ca = 0;
@@ -2720,19 +2972,99 @@ class tinyBLAS_HP16_PPC {
                     aoffset += lda;
                 }
             }
-            compute(&acc_0, 0, 0, comparray, vs, fin_res);
-            compute(&acc_1, 4, 4, comparray, vs, fin_res);
-            compute(&acc_2, 0, 8, comparray, vs, fin_res);
-            compute(&acc_3, 4, 12, comparray, vs, fin_res);
+            compute(& acc_0, 0, 0, comparray, vs, fin_res);
+            compute(& acc_1, 4, 4, comparray, vs, fin_res);
+            compute(& acc_2, 0, 8, comparray, vs, fin_res);
+            compute(& acc_3, 4, 12, comparray, vs, fin_res);
         }
         save_res(ii, jj, 0, fin_res);
-        save_res(ii+4, jj, 4, fin_res);
-        save_res(ii, jj+4, 8, fin_res);
-        save_res(ii+4, jj+4, 12, fin_res);
+        save_res(ii + 4, jj, 4, fin_res);
+        save_res(ii, jj + 4, 8, fin_res);
+        save_res(ii + 4, jj + 4, 12, fin_res);
+    }
+
+    void KERNEL_Q0(int64_t ii, int64_t jj, int64_t mc, int64_t nc, int64_t kc, int64_t l, vec_t * vec_A, vec_t * vec_B) {
+        acc_t acc[8];
+        for (int i = 0; i < mc ; i += 16) {
+            for (int j = 0; j < nc; j += 8) {
+                int A0_base = (i / 16) * (2 * 32 * kc);
+                int B0_base = (j / 8) * (32 * kc);
+                for (int x = 0; x < 8; x++) {
+                     __builtin_mma_xxsetaccz(&acc[x]);
+                }
+                for (int64_t kk = 0; kk < kc; kk++) {
+                    int A0_block_idx = A0_base + kk * 32;
+                    int B0_block_idx = B0_base + kk * 32;
+                    int A1_block_idx = A0_block_idx + 32 * kc;
+                    int B1_block_idx = B0_block_idx + 32 * kc;
+                    vec_t * A0_block = & vec_A[A0_block_idx];
+                    vec_t * B0_block = & vec_B[B0_block_idx];
+                    vec_t * A1_block = & vec_A[A1_block_idx];
+                    for (int it = 0; it < 4; it++) {
+                        for (int x = 0; x < 4; x++) {
+                            __builtin_mma_xvf16ger2pp(& acc[0], A0_block[8 * it + x], B0_block[8 * it + x]);
+                            __builtin_mma_xvf16ger2pp(& acc[1], A0_block[8 * it + x], B0_block[8 * it + x + 4]);
+                            __builtin_mma_xvf16ger2pp(& acc[2], A0_block[8 * it + x + 4], B0_block[8 * it + x]);
+                            __builtin_mma_xvf16ger2pp(& acc[3], A0_block[8 * it + x + 4], B0_block[8 * it + x + 4]);
+                            __builtin_mma_xvf16ger2pp(& acc[4], A1_block[8 * it + x], B0_block[8 * it + x]);
+                            __builtin_mma_xvf16ger2pp(& acc[5], A1_block[8 * it + x], B0_block[8 * it+ x + 4]);
+                            __builtin_mma_xvf16ger2pp(& acc[6], A1_block[8 * it + x + 4], B0_block[8 * it + x]);
+                            __builtin_mma_xvf16ger2pp(& acc[7], A1_block[8 * it + x + 4], B0_block[8 * it + x + 4]);
+                        }
+                    }
+                }
+                if (l == 0) {
+                    save_acc(& acc[0], ii + i, jj + j);
+                    save_acc(& acc[1], ii + i, jj + j + 4);
+                    save_acc(& acc[2], ii + i + 4, jj + j);
+                    save_acc(& acc[3], ii + i + 4, jj + j + 4);
+                    save_acc(& acc[4], ii + i + 8, jj + j);
+                    save_acc(& acc[5], ii + i + 8, jj + j + 4);
+                    save_acc(& acc[6], ii + i + 12, jj + j);
+                    save_acc(& acc[7], ii + i + 12, jj + j + 4);
+                } else {
+                    add_save_acc(& acc[0], ii + i, jj + j);
+                    add_save_acc(& acc[1], ii + i, jj + j + 4);
+                    add_save_acc(& acc[2], ii + i + 4, jj + j);
+                    add_save_acc(& acc[3], ii + i + 4, jj + j + 4);
+                    add_save_acc(& acc[4], ii + i + 8, jj + j);
+                    add_save_acc(& acc[5], ii + i + 8, jj + j + 4);
+                    add_save_acc(& acc[6], ii + i + 12, jj + j);
+                    add_save_acc(& acc[7], ii + i + 12, jj + j + 4);
+                }
+            }
+        }
     }
 
-    template<typename TA>
-    void tinyBLAS_Q0_PPC<TA>::gemm_small(int64_t m0, int64_t m, int64_t n0, int64_t n, int RM, int RN) {
+    void matmul_tiled(int64_t m, int64_t n, int64_t mc, int64_t nc, int64_t kc) {
+        vec_t A_pack[mc * kc * 4];
+        vec_t B_pack[nc * kc * 4];
+        constexpr bool is_Ablock_q4 = std::is_same_v<TA, block_q4_0>;
+        int64_t ytiles = m / mc;
+        int64_t xtiles = n / nc;
+        int64_t tiles  = xtiles * ytiles;
+        int64_t duty = (tiles + nth - 1) / nth;
+        int64_t start = duty * ith;
+        int64_t end = start + duty;
+        if (end > tiles) {
+            end = tiles;
+        }
+        for (int64_t job = start; job < end; ++job) {
+            int64_t ii = (job / xtiles) * mc;
+            int64_t jj = (job % xtiles) * nc;
+            for (int64_t kk = 0; kk < k; kk += kc) {
+                if constexpr(is_Ablock_q4) {
+                    packNormal_q4_fp16(A + ii * lda + kk, lda, mc, kc, (uint8_t *)A_pack);
+                } else {
+                    packNormal_q8_fp16(A + ii * lda + kk, lda, mc, kc, (uint8_t *)A_pack);
+                }
+                packNormal_q8_fp16(B + jj * ldb + kk, ldb, nc, kc, (uint8_t *)B_pack);
+                KERNEL_Q0(ii, jj, mc, nc, kc, kk, A_pack, B_pack);
+            }
+        }
+    }
+
+    void gemm_small(int64_t m0, int64_t m, int64_t n0, int64_t n, int RM, int RN) {
         int64_t ytiles = (m - m0) / RM;
         int64_t xtiles = (n - n0) / RN;
         int64_t tiles = xtiles * ytiles;
@@ -2754,32 +3086,32 @@ class tinyBLAS_HP16_PPC {
             vector float fin_res[4] = {0};
             vector float vs[4] = {0};
             vector float CA[4] = {0};
-            __builtin_prefetch((A+(ii*lda)+0)->qs, 0, 1); // prefetch first value
-            __builtin_prefetch((B+(jj*ldb)+0)->qs, 0, 1); // prefetch first value
+            __builtin_prefetch((A + (ii * lda) + 0)->qs, 0, 1); // prefetch first value
+            __builtin_prefetch((B + (jj * ldb) + 0)->qs, 0, 1); // prefetch first value
             for (int l = 0; l < k; l++) {
-                __builtin_prefetch((A+(ii*lda)+(l+1))->qs, 0, 1); // prefetch one loop ahead
-                __builtin_prefetch((B+(jj*ldb)+(l+1))->qs, 0, 1); // prefetch one loop ahead
-                __builtin_mma_xxsetaccz(&acc_0);
+                __builtin_prefetch((A + (ii * lda) + (l + 1))->qs, 0, 1); // prefetch one loop ahead
+                __builtin_prefetch((B + (jj * ldb) + (l + 1))->qs, 0, 1); // prefetch one loop ahead
+                __builtin_mma_xxsetaccz(& acc_0);
                 if (isAblock_q4) {
-                   packNormalInt4<4>((A+(ii*lda)+l), lda, RM, 4, (int8_t*)vec_A, comparray);
+                    packNormalInt4<4>((A + (ii * lda) + l), lda, RM, 4, (int8_t *)vec_A, comparray);
                 } else {
-                   packNormal<int8_t, vector signed char>((const block_q8_0*)(A+(ii*lda)+l), lda, RM, 8, (int8_t*)vec_A, false);
+                    packNormal<int8_t, vector signed char>((const block_q8_0 *)(A + (ii * lda) + l), lda, RM, 8, (int8_t *)vec_A, false);
                 }
-                packNormal<uint8_t, vector unsigned char>((B+(jj*ldb)+l), ldb, RN, 8, (uint8_t*)vec_B, true);
-                for(int x = 0; x < 8; x+=4) {
-                    __builtin_mma_xvi8ger4pp(&acc_0, vec_A[x], vec_B[x]);
-                    __builtin_mma_xvi8ger4pp(&acc_0, vec_A[x+1], vec_B[x+1]);
-                    __builtin_mma_xvi8ger4pp(&acc_0, vec_A[x+2], vec_B[x+2]);
-                    __builtin_mma_xvi8ger4pp(&acc_0, vec_A[x+3], vec_B[x+3]);
+                packNormal<uint8_t, vector unsigned char>((B + (jj * ldb) + l), ldb, RN, 8, (uint8_t *)vec_B, true);
+                for (int x = 0; x < 8; x += 4) {
+                    __builtin_mma_xvi8ger4pp(& acc_0, vec_A[x], vec_B[x]);
+                    __builtin_mma_xvi8ger4pp(& acc_0, vec_A[x + 1], vec_B[x + 1]);
+                    __builtin_mma_xvi8ger4pp(& acc_0, vec_A[x + 2], vec_B[x + 2]);
+                    __builtin_mma_xvi8ger4pp(& acc_0, vec_A[x + 3], vec_B[x + 3]);
                 }
-                for (int I = 0; I<RM; I++) {
-                    for (int J = 0; J<RN; J++) {
-                        *((float*)&vs[I]+J) = (unhalf((A+((ii+I)*lda)+l)->d) * unhalf((B+((jj+J)*ldb)+l)->d));
+                for (int I = 0; I < RM; I++) {
+                    for (int J = 0; J < RN; J++) {
+                        *((float*)&vs[I] + J) = (unhalf((A + ((ii + I) * lda) + l)->d) * unhalf((B + ((jj + J) * ldb) + l)->d));
                     }
                 }
-                __builtin_mma_disassemble_acc(vec_C, &acc_0);
+                __builtin_mma_disassemble_acc(vec_C, & acc_0);
                 if (!isAblock_q4) {
-                    auto aoffset = A+(ii*lda)+l;
+                    auto aoffset = A + (ii * lda) + l;
                     for (int i = 0; i < RM; i++) {
                         comparray[i] = 0;
                         int ca = 0;
@@ -2800,9 +3132,21 @@ class tinyBLAS_HP16_PPC {
         }
     }
 
-    template<typename TA>
+    template<int RM, int RN>
+    inline void kernel(int64_t ii, int64_t jj) {
+        if constexpr(RM == 4 && RN == 8) {
+            KERNEL_4x8(ii,jj);
+        } else if constexpr(RM == 8 && RN == 4) {
+            KERNEL_8x4(ii,jj);
+        } else if constexpr(RM == 8 && RN == 8) {
+            KERNEL_8x8(ii,jj);
+        } else {
+            assert(false && "RN/RM values not supported");
+        }
+    }
+
     template <int RM, int RN>
-    NOINLINE void tinyBLAS_Q0_PPC<TA>::gemm(int64_t m0, int64_t m, int64_t n0, int64_t n) {
+    NOINLINE void gemm(int64_t m0, int64_t m, int64_t n0, int64_t n) {
         int64_t ytiles = (m - m0) / RM;
         int64_t xtiles = (n - n0) / RN;
         int64_t tiles = xtiles * ytiles;
@@ -2814,12 +3158,20 @@ class tinyBLAS_HP16_PPC {
         for (int64_t job = start; job < end; ++job) {
             int64_t ii = m0 + job / xtiles * RM;
             int64_t jj = n0 + job % xtiles * RN;
-            this->kernel<RM, RN>(ii, jj);
+            kernel<RM, RN>(ii, jj);
         }
     }
-
-template class tinyBLAS_Q0_PPC<block_q4_0>;
-template class tinyBLAS_Q0_PPC<block_q8_0>;
+    const TA * const A;
+    const block_q8_0 * const B;
+    float * C;
+    const int64_t k;
+    int64_t kc;
+    const int64_t lda;
+    const int64_t ldb;
+    const int64_t ldc;
+    const int ith;
+    const int nth;
+};
 
 class tinyBLAS_PPC {
   public: