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iq2_xxs: tune quantization (llama/5320)
We get slightly better PPL, and we cut quantization time in nearly half. The trick is to 1st quantize without forcing points onto the E8-lattice. We can then use a narrower search range around the block scale that we got that way. Co-authored-by: Iwan Kawrakow <iwan.kawrakow@gmail.com>
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@ -9048,8 +9048,6 @@ static void quantize_row_iq2_xxs_impl(const float * restrict x, void * restrict
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int8_t L[32];
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int8_t Laux[32];
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float waux[32];
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bool is_on_grid[4];
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bool is_on_grid_aux[4];
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uint8_t block_signs[4];
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uint32_t q2[2*(QK_K/32)];
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@ -9099,10 +9097,11 @@ static void quantize_row_iq2_xxs_impl(const float * restrict x, void * restrict
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memset(L, 0, 32);
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continue;
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}
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float scale = make_qp_quants(32, kMaxQ+1, xval, (uint8_t*)L, weight);
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float eff_max = scale*kMaxQ;
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float best = 0;
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float scale = max/(2*kMaxQ-1);
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for (int is = -9; is <= 9; ++is) {
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float id = (2*kMaxQ-1+is*0.1f)/max;
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for (int is = -6; is <= 6; ++is) {
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float id = (2*kMaxQ-1+is*0.1f)/eff_max;
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float this_scale = 1/id;
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for (int k = 0; k < 4; ++k) {
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for (int i = 0; i < 8; ++i) {
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@ -9112,9 +9111,7 @@ static void quantize_row_iq2_xxs_impl(const float * restrict x, void * restrict
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uint16_t u = 0;
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for (int i = 0; i < 8; ++i) u |= (Laux[8*k+i] << 2*i);
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int grid_index = kmap_q2xs[u];
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is_on_grid_aux[k] = true;
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if (grid_index < 0) {
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is_on_grid_aux[k] = false;
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const uint16_t * neighbours = kneighbors_q2xs - kmap_q2xs[u] - 1;
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grid_index = iq2_find_best_neighbour(neighbours, kgrid_q2xs, xval + 8*k, waux + 8*k, this_scale, Laux + 8*k);
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}
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@ -9128,16 +9125,12 @@ static void quantize_row_iq2_xxs_impl(const float * restrict x, void * restrict
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}
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if (sumq2 > 0 && sumqx*sumqx > best*sumq2) {
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scale = sumqx/sumq2; best = scale*sumqx;
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for (int i = 0; i < 32; ++i) L[i] = Laux[i];
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for (int k = 0; k < 4; ++k) is_on_grid[k] = is_on_grid_aux[k];
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memcpy(L, Laux, 32);
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}
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}
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int n_not_ongrid = 0;
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for (int k = 0; k < 4; ++k) if (!is_on_grid[k]) ++n_not_ongrid;
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if (n_not_ongrid > 0 && scale > 0) {
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if (scale > 0) {
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float id = 1/scale;
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for (int k = 0; k < 4; ++k) {
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if (is_on_grid[k]) continue;
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uint16_t u = 0;
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for (int i = 0; i < 8; ++i) {
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int l = nearest_int(0.5f*(id*xval[8*k+i]-1));
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@ -9193,49 +9186,10 @@ static void quantize_row_iq2_xxs_impl(const float * restrict x, void * restrict
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float d = max_scale/31;
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y[ibl].d = GGML_FP32_TO_FP16(d);
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float id = 1/d;
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float sumqx = 0, sumq2 = 0;
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for (int ib = 0; ib < QK_K/32; ++ib) {
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int l = nearest_int(0.5f*(id*scales[ib]-1));
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l = MAX(0, MIN(15, l));
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q2[2*ib+1] |= ((uint32_t)l << 28);
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const float * xb = xbl + 32*ib;
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const float * qw = quant_weights + QK_K*ibl + 32*ib;
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for (int i = 0; i < 32; ++i) weight[i] = qw[i] * sqrtf(sigma2 + xb[i]*xb[i]);
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const uint8_t * aux8 = (const uint8_t *)(q2 + 2*ib);
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const float db = d * (1 + 2*l);
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uint32_t u = 0;
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for (int k = 0; k < 4; ++k) {
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const int8_t * signs = keven_signs_q2xs + 8*((q2[2*ib+1] >> 7*k) & 127);
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const float * xk = xb + 8*k;
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const float * wk = weight + 8*k;
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const uint8_t * grid = (const uint8_t *)(kgrid_q2xs + aux8[k]);
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float best_mse = 0; int best_index = aux8[k];
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for (int j = 0; j < 8; ++j) {
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float diff = db * grid[j] * signs[j] - xk[j];
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best_mse += wk[j] * diff * diff;
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}
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for (int idx = 0; idx < 256; ++idx) {
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grid = (const uint8_t *)(kgrid_q2xs + idx);
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float mse = 0;
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for (int j = 0; j < 8; ++j) {
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float diff = db * grid[j] * signs[j] - xk[j];
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mse += wk[j] * diff * diff;
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}
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if (mse < best_mse) {
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best_mse = mse; best_index = idx;
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}
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}
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u |= (best_index << 8*k);
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grid = (const uint8_t *)(kgrid_q2xs + best_index);
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//grid = (const uint8_t *)(kgrid_q2xs + aux8[k]);
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for (int j = 0; j < 8; ++j) {
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float q = db * grid[j] * signs[j];
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sumqx += wk[j] * q * xk[j];
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sumq2 += wk[j] * q * q;
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}
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}
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q2[2*ib] = u;
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if (sumq2 > 0) y[ibl].d = GGML_FP32_TO_FP16(d*sumqx/sumq2);
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}
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memcpy(y[ibl].qs, q2, QK_K/4);
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}
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