ggml-quants : improve TQ2_0 imatrix

This commit is contained in:
Francis Couture-Harpin
2025-03-07 12:54:56 -05:00
parent 6f7fe74946
commit f27c1afc40

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@@ -687,11 +687,11 @@ static float make_qkxs_quants(int n, int nmin, int nmax, const float * restrict
}
return 0.0f;
}
bool negative_scale = false;
if (signed_scale && -nmin != nmax) {
// the max side should have the biggest range
// FIXME: this is incorrect when the weights[.] do not sort in the same order as fabsf(x[.])
// or is it some other condition?
// FIXME: this is not always the best sign
if ((x[amax_i] < 0.0f) == (-nmin < nmax)) {
// [-4, 3] ==> [-3, 4]
const int tmp = nmin;
@@ -762,7 +762,7 @@ static float make_qkxs_quants(int n, int nmin, int nmax, const float * restrict
.i=i,
};
} else {
// stop when the inverse scale would result in clamping the max (FIXME: most important) value
// stop when the inverse scale would result in clamping the most important value
break;
}
}
@@ -802,6 +802,182 @@ static float make_qkxs_quants(int n, int nmin, int nmax, const float * restrict
return negative_scale ? -scale : scale;
}
// Very similar to make_qkxs_quants, but the sign of the scale is not assumed to be the sign of the absmax value.
static float make_qkxss_quants(int n, int nmin, int nmax, const float * restrict x, const float * restrict weights, int8_t * restrict L, int8_t * restrict Laux, struct fraction * restrict Faux) {
// start at zero
nmin = MIN(0, nmin);
nmax = MAX(0, nmax);
float amax = 0.0f;
float min = 0.0f;
float max = 0.0f;
float w_amax = 0.0f;
int amax_i = -1;
int w_amax_i = -1;
for (int i = 0; i < n; ++i) {
const float w = weights ? weights[i] : x[i] * x[i];
const float ax = fabsf(x[i]);
const float wax = w * ax;
if (ax > amax) { amax = ax; amax_i = i; }
if (x[i] > max) { max = x[i]; }
if (x[i] < min) { min = x[i]; }
// Find the most important value
if (wax > w_amax) { w_amax = wax; w_amax_i = i; }
}
if (amax < GROUP_MAX_EPS || amax_i < 0 || w_amax_i < 0) { // all zero
for (int i = 0; i < n; ++i) { L[i] = 0; }
return 0.0f;
}
// Use the side which will clamp first.
// The first clamped value is the absmax at the end of the common range.
// TODO: reduce the search space when one of the ranges is 0
const int amax_range = MIN(-nmin, nmax);
float sumlx_p = 0.0f;
float suml2_p = 0.0f;
float sumlx_n = 0.0f;
float suml2_n = 0.0f;
float scale = 0.0f;
float best = 0.0f;
float best_denom = 1.0f;
int best_i = -2; // not consecutive with 0..n_frac
// Pre-calculate the half-point for the common range.
// All smaller vectors have a representable vector with twice the values, and thus can be skipped.
if (amax_range > 1) {
const float iscale = ((float)(amax_range / 2 + 1))/amax;
for (int i = 0; i < n; ++i) {
const float w = weights ? weights[i] : x[i] * x[i];
int l = MAX(nmin, MIN(lroundf(x[i] * iscale), nmax));
Laux[i] = l;
suml2_p += w * l * l;
sumlx_p += w * l * x[i];
}
sumlx_n = -sumlx_p;
suml2_n = suml2_p;
const float current_p = sumlx_p * sumlx_p;
if (suml2_p > 0.0f && current_p * best_denom > best * suml2_p) {
best = current_p;
best_denom = suml2_p;
scale = sumlx_p / suml2_p;
for (int i = 0; i < n; ++i) {
L[i] = Laux[i];
}
best_i = -1; // right before 0 of the loop after sorting
}
} else {
for (int i = 0; i < n; ++i) {
Laux[i] = 0;
}
}
const int imax_range = MAX(nmax, -nmin);
const int max_odd = 2*(imax_range + 1) + 1;
const float wmax = fabsf(x[w_amax_i]);
int n_frac = 0;
for (int i = 0; i < n; ++i) {
// assuming nmin <= nmax
const int odd_max = MAX(nmax, -nmin);
const float v = fabsf(x[i]);
const float v_max_odd = v * max_odd;
for (int j = abs(Laux[i]); j < odd_max; ++j) {
const float odd = 2*j + 1;
const float wmax_odd = wmax * odd;
if (wmax_odd < v_max_odd) {
Faux[n_frac++] = (struct fraction){
.numer=v,
.denom=odd,
.i=i,
};
} else {
// stop when the inverse scale would result in clamping the most important value
break;
}
}
}
qsort(Faux, n_frac, sizeof(struct fraction), compare_fractions_desc);
const float max_common_odd = (MIN(nmax, -nmin) * 2) + 1;
const float max_odd_p = (nmax * 2) + 1;
const float max_odd_n = (-nmin * 2) + 1;
for (int i = 0; i < n_frac; ++i) {
// maximize the weighted cosine similarity
const int ii = Faux[i].i;
const float w = weights ? weights[ii] : x[ii] * x[ii];
const float lx = w * Faux[i].numer;
const float odd = Faux[i].denom;
const float l2 = w * odd;
Laux[ii] += x[ii] < 0.0f ? -1 : 1;
float sumlx = 0.0f;
float proj = 0.0f;
float norm = 0.0f;
if (odd < max_common_odd) {
sumlx_p += lx;
suml2_p += l2;
sumlx_n -= lx;
suml2_n += l2;
sumlx = sumlx_p;
proj = sumlx_p * sumlx_p;
norm = suml2_p;
// avoid double-copying Laux in a single iteration
if (suml2_p != suml2_n && suml2_p * suml2_n > 0.0f) {
const float proj_n = sumlx_n * sumlx_n;
if (proj_n * norm > proj * suml2_n) {
sumlx = sumlx_n;
proj = proj_n;
norm = suml2_n;
}
}
} else if (x[ii] < 0.0f ? odd < max_odd_n : odd < max_odd_p) {
sumlx_p += lx;
suml2_p += l2;
sumlx = sumlx_p;
proj = sumlx_p * sumlx_p;
norm = suml2_p;
} else {
// outside the positive range means we're now into negatives
sumlx_n -= lx;
suml2_n += l2;
sumlx = sumlx_n;
proj = sumlx_n * sumlx_n;
norm = suml2_n;
}
if (norm > 0.0f && proj * best_denom > best * norm) {
best = proj;
best_denom = norm;
scale = sumlx / norm;
if (i == best_i + 1) {
// reduce copies for consecutive bests
L[ii] += x[ii] < 0.0f ? -1 : 1;
} else {
for (int j = 0; j < n; ++j) {
L[j] = Laux[j];
}
}
best_i = i;
}
}
if (scale < 0.0f) {
for (int i = 0; i < n; ++i) {
L[i] = MAX(nmin, MIN(-L[i], nmax)) - nmin;
}
} else {
for (int i = 0; i < n; ++i) {
L[i] = MAX(nmin, MIN(L[i], nmax)) - nmin;
}
}
return scale;
}
// non-linear exhaustive search with cumulative sums
// Need Faux to have room for n*k fractions
static float make_qkxs_nl_quants(int n, int k, const float * restrict x, const float * restrict weights, const int8_t * restrict kvalues, uint8_t * restrict L, uint8_t * restrict Laux, struct fraction * restrict Faux, bool signed_scale) {
@@ -874,6 +1050,7 @@ static float make_qkxs_nl_quants(int n, int k, const float * restrict x, const f
}
// Non-linear mappings are usually not symmetric, so try negating the scale
// This is the same as above, but keeping the old best if the new best is not better.
if (signed_scale) {
for (int i = 0; i < n; ++i) {
Laux[i] = koff;
@@ -1298,7 +1475,6 @@ void quantize_row_q3_K_ref(const float * restrict x, block_q3_K * restrict y, in
float amax = 0;
for (int j = 0; j < QK_K/16; ++j) {
scales[j] = make_qkxs_quants(16, -4, 3, x + 16*j, weights, L + 16*j, Laux, Faux, true);
// scales[j] = make_q3_quants(16, 4, x + 16*j, L + 16*j, true);
float scale = fabsf(scales[j]);
if (scale > amax) {
amax = scale; max_scale = scales[j];
@@ -1324,21 +1500,6 @@ void quantize_row_q3_K_ref(const float * restrict x, block_q3_K * restrict y, in
y[i].d = GGML_FP32_TO_FP16(0.f);
}
// int8_t sc;
// for (int j = 0; j < QK_K/16; ++j) {
// sc = j < 8 ? y[i].scales[j] & 0xF : y[i].scales[j-8] >> 4;
// sc = (sc | (((y[i].scales[8 + j%4] >> (2*(j/4))) & 3) << 4)) - 32;
// float d = GGML_FP16_TO_FP32(y[i].d) * sc;
// if (!d) {
// continue;
// }
// for (int ii = 0; ii < 16; ++ii) {
// int l = nearest_int(x[16*j + ii]/d);
// l = MAX(-4, MIN(3, l));
// L[16*j + ii] = l + 4;
// }
// }
memset(y[i].hmask, 0, QK_K/8);
// We put the high-bit for the 1st 8 quants into bit 0, the next 8 into bit 1, etc.
int m = 0;
@@ -1441,14 +1602,12 @@ static void quantize_row_q3_K_impl(const float * restrict x, block_q3_K * restri
for (int l = 0; l < 16; ++l) sumw += weight[l];
sw[j] = sumw;
// scales[j] = make_qx_quants(16, 4, x + 16*j, L + 16*j, 1, weight);
scales[j] = make_qkxs_quants(16, -4, 3, x + 16*j, weight, L + 16*j, Laux, Faux, true);
}
memset(y[i].scales, 0, 12);
// float d_block = make_qx_quants(QK_K/16, 32, scales, Ls, 1, sw);
float d_block = make_qkxs_quants(QK_K/16, -32, 31, scales, sw, Ls, Laux, Faux, true);
for (int j = 0; j < QK_K/16; ++j) {
int l = Ls[j];
@@ -1462,21 +1621,6 @@ static void quantize_row_q3_K_impl(const float * restrict x, block_q3_K * restri
}
y[i].d = GGML_FP32_TO_FP16(d_block);
// int8_t sc;
// for (int j = 0; j < QK_K/16; ++j) {
// sc = j < 8 ? y[i].scales[j] & 0xF : y[i].scales[j-8] >> 4;
// sc = (sc | (((y[i].scales[8 + j%4] >> (2*(j/4))) & 3) << 4)) - 32;
// float d = GGML_FP16_TO_FP32(y[i].d) * sc;
// if (!d) {
// continue;
// }
// for (int ii = 0; ii < 16; ++ii) {
// int l = nearest_int(x[16*j + ii]/d);
// l = MAX(-4, MIN(3, l));
// L[16*j + ii] = l + 4;
// }
// }
memset(y[i].hmask, 0, QK_K/8);
// We put the high-bit for the 1st 8 quants into bit 0, the next 8 into bit 1, etc.
int m = 0;
@@ -2526,7 +2670,7 @@ static void quantize_row_tq2_0_impl(const float * restrict x, block_tq2_0 * rest
const float * xb = x + QK_K * ib;
const float * qw = quant_weights + QK_K * ib;
for (int j = 0; j < QK_K; ++j) { weight[j] = qw[j] * sqrtf(sigma2 + xb[j]*xb[j]); }
float d = make_qkxs_quants(QK_K, -1, 2, xb, weight, L, Laux, Faux, true);
float d = make_qkxss_quants(QK_K, -1, 2, xb, weight, L, Laux, Faux);
y[ib].d = GGML_FP32_TO_FP16(d);
for (size_t j = 0; j < sizeof(y->qs); j += 32) {