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iq1_s: we can do even better
Spent one of the 4 scale bits on a signs of a 0.125 shift. I.e., quants are now -1 + delta, delta, 1 + delta, where delta is +/- 0.125. CUDA works, same performance as before. PPL(LLaMA-v2-7B) is now 11.85!
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@ -645,6 +645,7 @@ GGML_TABLE_BEGIN(uint32_t, iq3s_grid, 512)
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GGML_TABLE_END()
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#define NGRID_IQ1S 2048
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#define IQ1S_DELTA 0.125f
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#if defined(GGML_COMMON_IMPL_C)
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GGML_TABLE_BEGIN(uint64_t, iq1s_grid, NGRID_IQ1S)
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0xffffffffffffffff, 0xffffffffffffff01, 0xffffffffffff0000, 0xffffffffffff01ff,
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36
ggml-cuda.cu
36
ggml-cuda.cu
@ -1722,22 +1722,15 @@ static __global__ void dequantize_block_iq1_s(const void * __restrict__ vx, dst_
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const int il = tid/8; // 0...3
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const int ib = tid%8; // 0...7
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dst_t * y = yy + i*QK_K + 32*ib + 8*il;
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const float d = (float)x[i].d * (2*((x[i].qh[ib] >> 12) & 0xf) + 1);
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#if __CUDA_ARCH__ >= MIN_CC_DP4A // lowest compute capability for integer intrinsics
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int grid32[2]; const int8_t * q = (const int8_t *)grid32;
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grid32[0] = *((const int *)(iq1s_grid_gpu + (x[i].qs[4*ib+il] | (((x[i].qh[ib] >> 3*il) & 7) << 8))));
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grid32[1] = __vsub4((grid32[0] >> 4) & 0x0f0f0f0f, 0x01010101);
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grid32[0] = __vsub4(grid32[0] & 0x0f0f0f0f, 0x01010101);
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const float delta = x[i].qh[ib] & 0x8000 ? -1 - IQ1S_DELTA : -1 + IQ1S_DELTA;
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const float d = (float)x[i].d * (2*((x[i].qh[ib] >> 12) & 7) + 1);
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uint32_t grid32[2]; const int8_t * q = (const int8_t *)grid32;
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grid32[0] = iq1s_grid_gpu[x[i].qs[4*ib+il] | (((x[i].qh[ib] >> 3*il) & 7) << 8)];
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grid32[1] = (grid32[0] >> 4) & 0x0f0f0f0f;
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grid32[0] &= 0x0f0f0f0f;
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for (int j = 0; j < 8; ++j) {
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y[j] = d * q[j];
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y[j] = d * (q[j] + delta);
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}
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#else
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const uint8_t * grid = (const uint8_t *)(iq1s_grid_gpu + (x[i].qs[4*ib+il] | (((x[i].qh[ib] >> 3*il) & 7) << 8)));
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for (int j = 0; j < 4; ++j) {
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y[j+0] = d * ((grid[j] & 0xf) - 1);
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y[j+4] = d * ((grid[j] >> 4) - 1);
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}
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#endif
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#else
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assert(false);
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#endif
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@ -4560,22 +4553,25 @@ static __device__ __forceinline__ float vec_dot_iq1_s_q8_1(
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const int * q8 = (const int *)bq8_1[ib32].qs;
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for (int l = 0; l < 4; ++l) {
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const int * grid = (const int *)(iq1s_grid_gpu + (bq1->qs[4*ib32+l] | (((bq1->qh[ib32] >> 3*l) & 7) << 8)));
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int grid0 = __vsub4(grid[0] & 0x0f0f0f0f, 0x01010101);
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int grid1 = __vsub4((grid[0] >> 4) & 0x0f0f0f0f, 0x01010101);
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int grid0 = grid[0] & 0x0f0f0f0f;
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int grid1 = (grid[0] >> 4) & 0x0f0f0f0f;
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sumi = __dp4a(q8[2*l+1], grid1, __dp4a(q8[2*l+0], grid0, sumi));
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}
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#else
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const int8_t * q8 = bq8_1[ib32].qs;
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const int8_t * q8 = bq8_1[ib32].qs;
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for (int l = 0; l < 4; ++l) {
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const uint8_t * grid = (const uint8_t *)(iq1s_grid_gpu + (bq1->qs[4*ib32+l] | (((bq1->qh[ib32] >> 3*l) & 7) << 8)));
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for (int j = 0; j < 4; ++j) {
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sumi += q8[j] * ((grid[j] & 0xf) - 1) + q8[j+4] * ((grid[j] >> 4) - 1);
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sumi += q8[j] * (grid[j] & 0xf) + q8[j+4] * (grid[j] >> 4);
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}
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q8 += 8;
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}
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#endif
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const float d = (float)bq1->d * __low2float(bq8_1[ib32].ds);
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return d * sumi * (2*(bq1->qh[ib32] >> 12) + 1);
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const float delta = bq1->qh[ib32] & 0x8000 ? -1-IQ1S_DELTA : -1+IQ1S_DELTA;
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const float d1q = (float)bq1->d * (2*((bq1->qh[ib32] >> 12) & 7) + 1);
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const float d = d1q * __low2float (bq8_1[ib32].ds);
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const float m = d1q * __high2float(bq8_1[ib32].ds);
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return d * sumi + m * delta;
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#else
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assert(false);
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return 0.f;
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@ -11438,7 +11438,7 @@ static int iq1_find_best_neighbour(const uint16_t * restrict neighbours, const u
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}
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static int iq1_find_best_neighbour2(const uint16_t * restrict neighbours, const uint64_t * restrict grid,
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const float * restrict xval, const float * restrict weight, float scale, int8_t * restrict L, int ngrid) {
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const float * restrict xval, const float * restrict weight, float scale, const float * restrict xg, int8_t * restrict L, int ngrid) {
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int num_neighbors = neighbours[0];
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GGML_ASSERT(num_neighbors > 0);
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float best_score = FLT_MAX;
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@ -11447,7 +11447,7 @@ static int iq1_find_best_neighbour2(const uint16_t * restrict neighbours, const
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const int8_t * pg = (const int8_t *)(grid + neighbours[j]);
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float d2 = 0;
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for (int i = 0; i < 8; ++i) {
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float q = (pg[i] - 3)/2;
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float q = xg[(pg[i] - 1)/2];
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float w = weight[i];
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float diff = scale*q - xval[i];
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d2 += w*diff*diff;
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@ -11463,7 +11463,7 @@ static int iq1_find_best_neighbour2(const uint16_t * restrict neighbours, const
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float d2 = 0;
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for (int j = 0; j < 8; ++j) {
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float w = weight[j];
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float q = (grid_i[j] - 3)/2;
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float q = xg[(grid_i[j] - 1)/2];
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float diff = scale*q - xval[i];
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d2 += w*diff*diff;
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}
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@ -11480,7 +11480,7 @@ static int iq1_find_best_neighbour2(const uint16_t * restrict neighbours, const
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const int8_t * pg = (const int8_t *)(grid + neighbours[j]);
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float sumqx = 0, sumq2 = 0;
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for (int i = 0; i < 8; ++i) {
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float q = (pg[i] - 3)/2;
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float q = xg[(pg[i] - 1)/2];
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float w = weight[i];
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sumqx += w*q*xval[i];
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sumq2 += w*q*q;
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@ -11519,6 +11519,9 @@ static void quantize_row_iq1_s_impl(const float * restrict x, void * restrict vy
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block_iq1_s * y = vy;
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const float x_p[3] = {-1 + IQ1S_DELTA, IQ1S_DELTA, 1 + IQ1S_DELTA};
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const float x_m[3] = {-1 - IQ1S_DELTA, -IQ1S_DELTA, 1 - IQ1S_DELTA};
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float scales[QK_K/IQ1S_BLOCK_SIZE];
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float weight[IQ1S_BLOCK_SIZE];
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int8_t L[IQ1S_BLOCK_SIZE];
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@ -11527,6 +11530,7 @@ static void quantize_row_iq1_s_impl(const float * restrict x, void * restrict vy
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float pairs[2*IQ1S_BLOCK_SIZE];
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int * idx = (int *)(pairs + 1);
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uint16_t index[IQ1S_BLOCK_SIZE/8];
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int8_t shifts[QK_K/IQ1S_BLOCK_SIZE];
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for (int ibl = 0; ibl < nbl; ++ibl) {
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@ -11572,25 +11576,33 @@ static void quantize_row_iq1_s_impl(const float * restrict x, void * restrict vy
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}
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}
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float best_score = 0, scale = max;
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int besti1 = 0, besti2 = 0;
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int besti1 = -1, besti2 = -1, best_shift = 0;
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for (int i1 = 0; i1 <= IQ1S_BLOCK_SIZE; ++i1) {
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for (int i2 = i1; i2 <= IQ1S_BLOCK_SIZE; ++i2) {
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float sumqx = -(sumx[i1] - sumx[0]) + (sumx[IQ1S_BLOCK_SIZE] - sumx[i2]);
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float sumq2 = (sumw[i1] - sumw[0]) + (sumw[IQ1S_BLOCK_SIZE] - sumw[i2]);
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float sumqx = (sumx[i1] - sumx[0])*x_p[0] + (sumx[i2] - sumx[i1])*x_p[1] + (sumx[IQ1S_BLOCK_SIZE] - sumx[i2])*x_p[2];
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float sumq2 = (sumw[i1] - sumw[0])*x_p[0]*x_p[0] + (sumw[i2] - sumw[i1])*x_p[1]*x_p[1] + (sumw[IQ1S_BLOCK_SIZE] - sumw[i2])*x_p[2]*x_p[2];
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if (sumq2 > 0 && sumqx*sumqx > best_score*sumq2) {
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scale = sumqx/sumq2; best_score = scale*sumqx;
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besti1 = i1; besti2 = i2;
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besti1 = i1; besti2 = i2; best_shift = 1;
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}
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sumqx = (sumx[i1] - sumx[0])*x_m[0] + (sumx[i2] - sumx[i1])*x_m[1] + (sumx[IQ1S_BLOCK_SIZE] - sumx[i2])*x_m[2];
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sumq2 = (sumw[i1] - sumw[0])*x_m[0]*x_m[0] + (sumw[i2] - sumw[i1])*x_m[1]*x_m[1] + (sumw[IQ1S_BLOCK_SIZE] - sumw[i2])*x_m[2]*x_m[2];
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if (sumq2 > 0 && sumqx*sumqx > best_score*sumq2) {
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scale = sumqx/sumq2; best_score = scale*sumqx;
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besti1 = i1; besti2 = i2; best_shift = -1;
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}
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}
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}
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GGML_ASSERT(besti1 >= 0 && besti2 >= 0 && best_shift != 0);
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for (int j = 0; j < besti1; ++j) L[idx[2*j]] = 0;
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for (int j = besti1; j < besti2; ++j) L[idx[2*j]] = 1;
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for (int j = besti2; j < IQ1S_BLOCK_SIZE; ++j) L[idx[2*j]] = 2;
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if (scale < 0) {
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for (int j = 0; j < IQ1S_BLOCK_SIZE; ++j) L[j] = 2 - L[j];
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scale = -scale;
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scale = -scale; best_shift = -best_shift;
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}
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bool all_on_grid = true;
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const float * xx = best_shift == 1 ? x_p : x_m;
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for (int k = 0; k < IQ1S_BLOCK_SIZE/8; ++k) {
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uint16_t u = 0;
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for (int j = 0; j < 8; ++j) u |= (L[8*k+j] << 2*j);
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@ -11598,7 +11610,7 @@ static void quantize_row_iq1_s_impl(const float * restrict x, void * restrict vy
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if (grid_index < 0) {
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all_on_grid = false;
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const uint16_t * neighbours = kneighbors_q2xs - kmap_q2xs[u] - 1;
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grid_index = iq1_find_best_neighbour2(neighbours, kgrid_q2xs, xb + 8*k, weight + 8*k, scale, L + 8*k, NGRID_IQ1S);
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grid_index = iq1_find_best_neighbour2(neighbours, kgrid_q2xs, xb + 8*k, weight + 8*k, scale, xx, L + 8*k, NGRID_IQ1S);
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GGML_ASSERT(grid_index >= 0);
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}
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index[k] = grid_index;
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@ -11609,7 +11621,7 @@ static void quantize_row_iq1_s_impl(const float * restrict x, void * restrict vy
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const int8_t * pg = (const int8_t *)(kgrid_q2xs + index[k]);
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for (int j = 0; j < 8; ++j) {
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float w = weight[8*k + j];
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float q = (pg[j] - 3)/2;
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float q = xx[(pg[j] - 1)/2];
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sumqx += w*q*xb[8*k+j];
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sumq2 += w*q*q;
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}
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@ -11624,6 +11636,7 @@ static void quantize_row_iq1_s_impl(const float * restrict x, void * restrict vy
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y[ibl].qh[ib] = h;
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GGML_ASSERT(scale >= 0);
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scales[ib] = scale;
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shifts[ib] = best_shift;
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max_scale = MAX(max_scale, scale);
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}
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@ -11632,12 +11645,13 @@ static void quantize_row_iq1_s_impl(const float * restrict x, void * restrict vy
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continue;
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}
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float d = max_scale/31;
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float d = max_scale/15;
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y[ibl].d = GGML_FP32_TO_FP16(d*1.125f); // 1.085f is another fudge factor. Don't ask me why it is needed.
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float id = 1/d;
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for (int ib = 0; ib < QK_K/IQ1S_BLOCK_SIZE; ++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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l = MAX(0, MIN(7, l));
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if (shifts[ib] == -1) l |= 8;
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y[ibl].qh[ib] |= (l << 12);
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}
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}
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