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@ -27,9 +27,21 @@ const int N = 1536;
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const int K = 1280;
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const int QK = 64;
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const int QB = 7;
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#define QB 7
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#define gq_t uint64_t
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//#define GGML_GQ_USE_FP16_SCALE
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#if defined(GGML_GQ_USE_FP16_SCALE)
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#define gq_scale_t ggml_fp16_t
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#define GGML_FP32_TO_GQ(x) ggml_fp32_to_fp16(x)
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#define GGML_GQ_TO_FP32(x) ggml_fp16_to_fp32(x)
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#else
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#define gq_scale_t float
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#define GGML_FP32_TO_GQ(x) (x)
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#define GGML_GQ_TO_FP32(x) (x)
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#endif
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#define gq_quant_t uint64_t
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#define gq_t_bits 64
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uint64_t get_time_us() {
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@ -42,7 +54,7 @@ uint64_t get_time_us() {
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// naive implementation
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//
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void mul_mat_vec_f32_naive(
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void mul_mat_f32_naive(
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const float * restrict src0, // M x K
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const float * restrict src1, // N x K (transposed)
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float * dst,
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@ -65,7 +77,7 @@ void mul_mat_vec_f32_naive(
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void quantize_1(const float * src, void * dst, int n, int k) {
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char * p0 = dst;
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gq_t pp[QB];
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gq_quant_t pp[QB];
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for (int j = 0; j < n; j++) {
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for (int i = 0; i < k/QK; i++) {
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@ -120,19 +132,19 @@ void quantize_1(const float * src, void * dst, int n, int k) {
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const uint8_t q = (v - min)*id;
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for (int b = 0; b < QB; b++) {
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pp[b] |= q & (1 << b) ? (1LL << l) : 0;
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pp[b] |= q & (1 << b) ? (1ULL << l) : 0;
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}
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}
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for (int b = 0; b < QB; b++) {
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memcpy(p0, &pp[b], sizeof(gq_t)); p0 += sizeof(gq_t);
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memcpy(p0, &pp[b], sizeof(gq_quant_t)); p0 += sizeof(gq_quant_t);
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}
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}
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}
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}
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}
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void mul_mat_vec_gq_1(
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void mul_mat_gq_1(
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const void * src0,
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const void * src1,
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float * dst,
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@ -145,15 +157,15 @@ void mul_mat_vec_gq_1(
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float s0[QB + 1];
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float s1[QB + 1];
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gq_t m0[QB + 1];
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gq_t m1[QB + 1];
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gq_quant_t m0[QB + 1];
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gq_quant_t m1[QB + 1];
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for (int ir0 = 0; ir0 < m; ir0++) {
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for (int ir1 = 0; ir1 < n; ir1++) {
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float sumf = 0.0;
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const char * restrict pp0 = p0 + ir0*((2*sizeof(float) + (QK/gq_t_bits)*QB*sizeof(gq_t))*(k/QK));
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const char * restrict pp1 = p1 + ir1*((2*sizeof(float) + (QK/gq_t_bits)*QB*sizeof(gq_t))*(k/QK));
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const char * restrict pp0 = p0 + ir0*((2*sizeof(float) + (QK/gq_t_bits)*QB*sizeof(gq_quant_t))*(k/QK));
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const char * restrict pp1 = p1 + ir1*((2*sizeof(float) + (QK/gq_t_bits)*QB*sizeof(gq_quant_t))*(k/QK));
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for (int i = 0; i < kp/QK; i++) {
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float min0, d0;
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@ -177,13 +189,13 @@ void mul_mat_vec_gq_1(
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s1[b + 1] = d1*(1 << b);
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}
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m0[0] = -1LL;
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m1[0] = -1LL;
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m0[0] = -1ULL;
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m1[0] = -1ULL;
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for (int s = 0; s < QK/gq_t_bits; ++s) {
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for (int b = 0; b < QB; b++) {
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memcpy(&m0[b + 1], pp0, sizeof(gq_t)); pp0 += sizeof(gq_t);
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memcpy(&m1[b + 1], pp1, sizeof(gq_t)); pp1 += sizeof(gq_t);
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memcpy(&m0[b + 1], pp0, sizeof(gq_quant_t)); pp0 += sizeof(gq_quant_t);
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memcpy(&m1[b + 1], pp1, sizeof(gq_quant_t)); pp1 += sizeof(gq_quant_t);
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}
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for (int q0 = 0; q0 < QB + 1; q0++) {
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@ -205,147 +217,175 @@ void mul_mat_vec_gq_1(
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// method 2
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//
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void quantize_2(const float * src, void * dst, int n, int k) {
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char * p0 = dst;
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static inline int quantize_2_blocks_per_row(int k) {
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return k/QK;
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}
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gq_t pp[QB];
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static inline int quantize_2_quants_per_block() {
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return QK/gq_t_bits;
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}
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for (int j = 0; j < n; j++) {
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for (int i = 0; i < k/QK; i++) {
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float min = FLT_MAX;
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float max = -FLT_MAX;
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static inline int quantize_2_row_size(int k) {
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const int nb = quantize_2_blocks_per_row(k);
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const int nq = quantize_2_quants_per_block();
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// find min/max
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#ifdef __ARM_NEON
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{
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float32x4_t minv = vdupq_n_f32(FLT_MAX);
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float32x4_t maxv = vdupq_n_f32(-FLT_MAX);
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return nb*(2*sizeof(gq_scale_t) + nq*QB*sizeof(gq_quant_t));
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}
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for (int l = 0; l < QK; l += 4) {
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float32x4_t v = vld1q_f32(src + j*k + i*QK + l);
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minv = vminq_f32(minv, v);
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maxv = vmaxq_f32(maxv, v);
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}
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void quantize_2_row(const float * restrict src, void * restrict dst, int k) {
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assert(k % QK == 0);
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float32x2_t minv32 = vpmin_f32(vget_low_f32(minv), vget_high_f32(minv));
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float32x2_t maxv32 = vpmax_f32(vget_low_f32(maxv), vget_high_f32(maxv));
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const int nb = quantize_2_blocks_per_row(k);
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const int nq = quantize_2_quants_per_block();
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min = MIN(vget_lane_f32(minv32, 0), vget_lane_f32(minv32, 1));
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max = MAX(vget_lane_f32(maxv32, 0), vget_lane_f32(maxv32, 1));
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gq_scale_t * restrict pm = (gq_scale_t *) (dst);
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gq_scale_t * restrict pd = (gq_scale_t *) (pm + nb);
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gq_quant_t * restrict pb = (gq_quant_t *) (pd + nb);
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gq_quant_t pp[QB];
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for (int i = 0; i < nb; i++) {
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float min = FLT_MAX;
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float max = -FLT_MAX;
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//printf("SIMD min/max: %f %f\n", min, max);
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}
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#else
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{
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for (int l = 0; l < QK; l++) {
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const float v = src[j*k + i*QK + l];
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const float v = src[i*QK + l];
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if (v < min) min = v;
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if (v > max) max = v;
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}
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//printf("NORM min/max: %f %f\n", min, max);
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}
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#endif
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const float d = (max - min) / ((1 << QB) - 1);
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const float id = d ? 1.0/d : 0.0;
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memcpy(p0, &min, sizeof(float)); p0 += sizeof(float);
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memcpy(p0, &d, sizeof(float)); p0 += sizeof(float);
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//printf("min/max/d/id: %f %f %f %f\n", min, max, d, id);
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pm[i] = GGML_FP32_TO_GQ(min);
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pd[i] = GGML_FP32_TO_GQ(d);
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for (int s = 0; s < QK/gq_t_bits; ++s) {
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for (int s = 0; s < nq; ++s) {
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memset(pp, 0, sizeof(pp));
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for (int l = 0; l < gq_t_bits; l++) {
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const float v = src[j*k + i*QK + s*gq_t_bits + l];
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const float v = src[i*QK + s*gq_t_bits + l];
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const uint8_t q = (v - min)*id;
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for (int b = 0; b < QB; b++) {
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pp[b] |= q & (1 << b) ? (1LL << l) : 0;
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pp[b] |= q & (1 << b) ? (1ULL << l) : 0;
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}
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}
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for (int b = 0; b < QB; b++) {
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memcpy(p0, &pp[b], sizeof(gq_t)); p0 += sizeof(gq_t);
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}
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pb[i*nq*QB + s*QB + b] = pp[b];
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}
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}
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}
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}
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void mul_mat_vec_gq_2(
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const void * src0,
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const void * src1,
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float * dst,
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int m, int n, int k) {
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const int kp = k & ~(gq_t_bits - 1);
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// reimplementation of quantize_2 using quantize_2_row
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void quantize_2(const float * restrict src, char * restrict dst, int n, int k) {
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assert(k % QK == 0);
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const char * restrict p0 = src0;
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const char * restrict p1 = src1;
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for (int j = 0; j < n; j++) {
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quantize_2_row(src + j*k, dst, k);
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dst = (char *) dst + quantize_2_row_size(k);
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}
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}
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float s0[QB + 1];
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float s1[QB + 1];
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void vec_dot_gq_2(const int n, float * restrict s, const void * restrict x, const void * restrict y) {
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float sumf[(QB + 1)*(QB + 1)];
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memset(sumf, 0, sizeof(sumf));
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gq_t m0[QB + 1];
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gq_t m1[QB + 1];
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const int nb = quantize_2_blocks_per_row(n);
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const int nq = quantize_2_quants_per_block();
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for (int ir0 = 0; ir0 < m; ir0++) {
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for (int ir1 = 0; ir1 < n; ir1++) {
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float sumf = 0.0;
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const gq_scale_t * restrict pm0 = (const gq_scale_t *) x;
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const gq_scale_t * restrict pm1 = (const gq_scale_t *) y;
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const char * restrict pp0 = p0 + ir0*((2*sizeof(float) + (QK/gq_t_bits)*QB*sizeof(gq_t))*(k/QK));
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const char * restrict pp1 = p1 + ir1*((2*sizeof(float) + (QK/gq_t_bits)*QB*sizeof(gq_t))*(k/QK));
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const gq_scale_t * restrict pd0 = pm0 + nb;
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const gq_scale_t * restrict pd1 = pm1 + nb;
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for (int i = 0; i < kp/QK; i++) {
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float min0, d0;
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memcpy(&min0, pp0, sizeof(float)); pp0 += sizeof(float);
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memcpy(&d0, pp0, sizeof(float)); pp0 += sizeof(float);
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const gq_quant_t * restrict pb0 = (const gq_quant_t *) (pd0 + nb);
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const gq_quant_t * restrict pb1 = (const gq_quant_t *) (pd1 + nb);
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float min1, d1;
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memcpy(&min1, pp1, sizeof(float)); pp1 += sizeof(float);
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memcpy(&d1, pp1, sizeof(float)); pp1 += sizeof(float);
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#if 1
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float s0[QB + 1];
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float s1[QB + 1];
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//printf("min0/d0 = %f %f | min1/d1 = %f %f\n", min0, d0, min1, d1);
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for (int i = 0; i < nb; i++) {
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const float m0 = GGML_GQ_TO_FP32(pm0[i]);
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const float d0 = GGML_GQ_TO_FP32(pd0[i]);
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#if 1
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// >>> General case for any QB
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const float m1 = GGML_GQ_TO_FP32(pm1[i]);
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const float d1 = GGML_GQ_TO_FP32(pd1[i]);
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s0[0] = min0;
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s1[0] = min1;
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s0[0] = m0;
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s1[0] = m1;
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for (int b = 0; b < QB; b++) {
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s0[b + 1] = d0*(1 << b);
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s1[b + 1] = d1*(1 << b);
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}
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m0[0] = -1LL;
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m1[0] = -1LL;
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for (int s = 0; s < QK/gq_t_bits; ++s) {
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for (int b = 0; b < QB; b++) {
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memcpy(&m0[b + 1], pp0, sizeof(gq_t)); pp0 += sizeof(gq_t);
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memcpy(&m1[b + 1], pp1, sizeof(gq_t)); pp1 += sizeof(gq_t);
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}
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for (int s = 0; s < nq; ++s) {
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for (int q0 = 0; q0 < QB + 1; q0++) {
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const gq_quant_t mm0 = q0 ? pb0[i*nq*QB + s*QB + q0 - 1] : -1ULL;
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for (int q1 = 0; q1 < QB + 1; q1++) {
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sumf += s0[q0]*s1[q1]*__builtin_popcountll(m0[q0] & m1[q1]);
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const gq_quant_t mm1 = q1 ? pb1[i*nq*QB + s*QB + q1 - 1] : -1ULL;
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sumf[q0*(QB + 1) + q1] += s0[q0]*s1[q1]*__builtin_popcountll(mm0 & mm1);
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}
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}
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}
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}
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#else
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// SIMD-ify with the assumptions:
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// - nb is a multiple of 4
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// - gq_scale_t is float
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|
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// - gq_quant_t is uint64_t
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// - QB == 7
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assert(nb % 4 == 0);
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#ifdef __ARM_NEON
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#else
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// TODO
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#endif
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|
|
|
|
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#endif
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|
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for (int q0 = 0; q0 < QB + 1; q0++) {
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|
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|
for (int q1 = 1; q1 < QB + 1; q1++) {
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|
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sumf[q0*(QB + 1)] += sumf[q0*(QB + 1) + q1];
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|
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|
}
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|
}
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|
|
|
|
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|
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dst[ir0*n + ir1] = sumf;
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|
|
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|
*s = sumf[0];
|
|
|
|
|
for (int q0 = 1; q0 < QB + 1; q0++) {
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|
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|
*s += sumf[q0*(QB + 1)];
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// use vec_dot_gq_2 to compute the dot product of two rows
|
|
|
|
|
void mul_mat_gq_2(
|
|
|
|
|
const void * src0,
|
|
|
|
|
const void * src1, // transposed
|
|
|
|
|
float * dst,
|
|
|
|
|
int m, int n, int k) {
|
|
|
|
|
assert(k % QK == 0);
|
|
|
|
|
|
|
|
|
|
const int nb = quantize_2_blocks_per_row(k);
|
|
|
|
|
const int nq = quantize_2_quants_per_block();
|
|
|
|
|
|
|
|
|
|
for (int ir0 = 0; ir0 < m; ir0++) {
|
|
|
|
|
for (int ir1 = 0; ir1 < n; ir1++) {
|
|
|
|
|
vec_dot_gq_2(k, dst + ir1, src0, src1);
|
|
|
|
|
src1 = (const char *) src1 + quantize_2_row_size(k);
|
|
|
|
|
}
|
|
|
|
|
src0 = (const char *) src0 + quantize_2_row_size(k);
|
|
|
|
|
src1 = (const char *) src1 - n*quantize_2_row_size(k);
|
|
|
|
|
|
|
|
|
|
dst = (float *) dst + n;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
int main(int argc, const char ** argv) {
|
|
|
|
|
assert(sizeof(gq_t)*8 == gq_t_bits);
|
|
|
|
|
assert(sizeof(gq_quant_t)*8 == gq_t_bits);
|
|
|
|
|
|
|
|
|
|
float * src0 = (float *)malloc(sizeof(float)*M*K);
|
|
|
|
|
float * src1 = (float *)malloc(sizeof(float)*N*K);
|
|
|
|
@ -359,12 +399,11 @@ int main(int argc, const char ** argv) {
|
|
|
|
|
src1[i] = rand() / (float)RAND_MAX;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
void * src0_gq = calloc(1, (2*sizeof(float) + (QK/gq_t_bits)*QB*sizeof(gq_t))*(K/QK)*M);
|
|
|
|
|
void * src1_gq = calloc(1, (2*sizeof(float) + (QK/gq_t_bits)*QB*sizeof(gq_t))*(K/QK)*N);
|
|
|
|
|
void * src0_gq = calloc(1, quantize_2_row_size(K)*M);
|
|
|
|
|
void * src1_gq = calloc(1, quantize_2_row_size(K)*N);
|
|
|
|
|
|
|
|
|
|
const size_t sizef16 = sizeof(ggml_fp16_t)*M*K + sizeof(ggml_fp16_t)*N*K;
|
|
|
|
|
const size_t sizegq = (2*sizeof(float) + (QK/gq_t_bits)*QB*sizeof(gq_t))*(K/QK)*M +
|
|
|
|
|
(2*sizeof(float) + (QK/gq_t_bits)*QB*sizeof(gq_t))*(K/QK)*N;
|
|
|
|
|
const size_t sizegq = quantize_2_row_size(K)*M + quantize_2_row_size(K)*N;
|
|
|
|
|
|
|
|
|
|
printf("compression: %f\n", (float)sizegq/sizef16);
|
|
|
|
|
|
|
|
|
@ -400,15 +439,15 @@ int main(int argc, const char ** argv) {
|
|
|
|
|
double sum = 0.0f;
|
|
|
|
|
for (int i = 0; i < nIter; i++) {
|
|
|
|
|
if (method == 0) {
|
|
|
|
|
mul_mat_vec_f32_naive(src0, src1, dst, M, N, K);
|
|
|
|
|
mul_mat_f32_naive(src0, src1, dst, M, N, K);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (method == 1) {
|
|
|
|
|
mul_mat_vec_gq_1(src0_gq, src1_gq, dst, M, N, K);
|
|
|
|
|
mul_mat_gq_1(src0_gq, src1_gq, dst, M, N, K);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (method == 2) {
|
|
|
|
|
mul_mat_vec_gq_1(src0_gq, src1_gq, dst, M, N, K);
|
|
|
|
|
mul_mat_gq_2(src0_gq, src1_gq, dst, M, N, K);
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|