ggml : add NVFP4 quantization type support (#19769)

* WIP: add NVFP4 quantization support

* tests

* improve NVFP4 dot product implementation performance and fix bad super call

* typo

* Use nvfp4 kvalues

* vulkan : fix NVFP4 shader compilation by including kvalues_mxfp4 lookup table

* vulcal and perf fixes

* wip

* Fix metal

* fix vulcan

* Rename threshold & fix wrong scale

* Fix MOE

* Shelf backend implementations (CUDA, Metal, Vulkan, arch-specific SIMD)

Remove NVFP4 support from GPU backends and architecture-specific
optimized dot products. These should be added in separate PRs so
backend specialists can review them independently.

Reverted files:
- ggml-cuda: common.cuh, convert.cu, mmq.cu/cuh, mmvq.cu, vecdotq.cuh,
  quantize.cu/cuh, mma.cuh, ggml-cuda.cu, fattn-tile.cuh
- ggml-metal: ggml-metal.metal, ggml-metal-device.cpp, ggml-metal-impl.h,
  ggml-metal-ops.cpp
- ggml-vulkan: ggml-vulkan.cpp, all vulkan-shaders/*
- ggml-cpu arch: arm/quants.c, x86/quants.c, powerpc/quants.c, s390/quants.c

Core NVFP4 support (type definition, CPU fallback dot product,
quantization, dequantization, conversion) is retained.

* Fix arch-fallback.h: add NVFP4 generic fallback for all platforms

After shelving backend-specific SIMD implementations, the generic
CPU dot product needs to be aliased on ARM, x86, PowerPC, and s390
platforms that previously relied on arch-specific versions.

* quantize: add NVFP4 as a quantization type option

* Fix ggml_fp32_to_ue4m3: handle subnormal values

Previously, values with ue4m3_exp <= 0 were clamped to 0, causing
all small scales to underflow. This made NVFP4 quantization via
llama-quantize produce garbage (PPL = 5.8M) since typical transformer
weights have amax/6.0 in the range 0.001-0.01, which falls in the
UE4M3 subnormal range.

Now subnormals are properly encoded as man * 2^-9 (exp=0, man=1..7),
matching the decode path in ggml_ue4m3_to_fp32.

Result: NVFP4 requantization now produces PPL = 15.25 (vs F16 = 14.33),
comparable to Q4_1 (PPL = 15.81) at slightly lower BPW (4.70 vs 5.15).

* Restore ARM NEON NVFP4 dot product implementation

Restores the optimized ggml_vec_dot_nvfp4_q8_0 for ARM NEON using
vqtbl1q_s8 lookup and ggml_vdotq_s32 dot products.

tg128 performance: 4.37 t/s (generic) -> 13.66 t/s (NEON) = 3.1x speedup

* Optimize ARM NEON NVFP4 dot product: LUT + vpaddq + vfmaq

- Add ue4m3_scale_lut[128] to ggml-common.h replacing branch-heavy
  ggml_ue4m3_to_fp32() in the hot loop
- Use vpaddq_s32 for pairwise int32 reduction instead of vaddvq_s32
- Accumulate with vfmaq_f32 into float32x4_t vector accumulators

tg128: 8.1 -> 31.0 t/s (3.8x speedup, 77% of Q4_1 speed)

* ARM NEON NVFP4: rearrange q8 to match nibble layout

Alternative approach: rearrange q8 data to match the NVFP4 lo/hi
nibble layout instead of rearranging the looked-up NVFP4 values.
Eliminates vcombine_s8(vget_low, vget_low) shuffles.

Performance is equivalent (~18.5 t/s) - the bottleneck is the 2x
block overhead from QK=16 vs QK=32, not the shuffle instructions.

* CPU only backend 64 super-block layout

* cleanup

* Remove unused LUT

* int

* exclude NVFP4 from unsupported ops in metal build

* remove quantization for now

* store scales as native UE4M3, preserve original model bits when possible

* Update convert_hf_to_gguf.py

Co-authored-by: Sigbjørn Skjæret <sigbjorn.skjaeret@scala.com>

* correct comment

* format

* reduce duplication and cleanup

* Address comments

* move detection to prepare_tensors

* Use math instead of const

* Move

* fix comment

* Shelf quantize tests

* Rebase and move check

* cleanup

* lint

* Update gguf-py/gguf/scripts/gguf_convert_endian.py

Co-authored-by: Sigbjørn Skjæret <sigbjorn.skjaeret@scala.com>

* Use fallback quant config

* Simplify

Co-authored-by: Sigbjørn Skjæret <sigbjorn.skjaeret@scala.com>

* organize

* Refactor

* Update convert_hf_to_gguf.py

Co-authored-by: Sigbjørn Skjæret <sigbjorn.skjaeret@scala.com>

* Update convert_hf_to_gguf.py

Co-authored-by: Sigbjørn Skjæret <sigbjorn.skjaeret@scala.com>

* Update convert_hf_to_gguf.py

Co-authored-by: Sigbjørn Skjæret <sigbjorn.skjaeret@scala.com>

* add quantize_nvfp4 (required for test_quants.py)

* add quantize_nvfp4 (required for test_quants.py)

* add quantize_nvfp4 (required for test_quants.py)

* fix return type

---------

Co-authored-by: Sigbjørn Skjæret <sigbjorn.skjaeret@scala.com>
This commit is contained in:
Richard Davison
2026-03-11 21:02:54 +01:00
committed by GitHub
parent 3ca19b0e9f
commit 5eae9cb1d9
31 changed files with 710 additions and 51 deletions
+8
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@@ -15,6 +15,7 @@
#define ggml_vec_dot_q5_1_q8_1_generic ggml_vec_dot_q5_1_q8_1
#define ggml_vec_dot_q8_0_q8_0_generic ggml_vec_dot_q8_0_q8_0
#define ggml_vec_dot_mxfp4_q8_0_generic ggml_vec_dot_mxfp4_q8_0
#define ggml_vec_dot_nvfp4_q8_0_generic ggml_vec_dot_nvfp4_q8_0
#define ggml_vec_dot_tq1_0_q8_K_generic ggml_vec_dot_tq1_0_q8_K
#define ggml_vec_dot_tq2_0_q8_K_generic ggml_vec_dot_tq2_0_q8_K
#define ggml_vec_dot_q2_K_q8_K_generic ggml_vec_dot_q2_K_q8_K
@@ -79,6 +80,8 @@
#define ggml_gemm_mxfp4_8x8_q8_0_generic ggml_gemm_mxfp4_8x8_q8_0
#define ggml_gemm_q2_K_8x8_q8_K_generic ggml_gemm_q2_K_8x8_q8_K
#elif defined(__x86_64__) || defined(__i386__) || defined(_M_IX86) || defined(_M_X64)
// quants.c
#define ggml_vec_dot_nvfp4_q8_0_generic ggml_vec_dot_nvfp4_q8_0
// repack.cpp
#define ggml_quantize_mat_q8_0_4x4_generic ggml_quantize_mat_q8_0_4x4
#define ggml_quantize_mat_q8_K_4x4_generic ggml_quantize_mat_q8_K_4x4
@@ -108,6 +111,7 @@
// ref: https://github.com/ggml-org/llama.cpp/pull/14146#issuecomment-2972561679
// quants.c
#define quantize_row_q8_K_generic quantize_row_q8_K
#define ggml_vec_dot_nvfp4_q8_0_generic ggml_vec_dot_nvfp4_q8_0
#define ggml_vec_dot_tq1_0_q8_K_generic ggml_vec_dot_tq1_0_q8_K
#define ggml_vec_dot_tq2_0_q8_K_generic ggml_vec_dot_tq2_0_q8_K
#define ggml_vec_dot_iq1_m_q8_K_generic ggml_vec_dot_iq1_m_q8_K
@@ -155,6 +159,7 @@
#define ggml_vec_dot_tq2_0_q8_K_generic ggml_vec_dot_tq2_0_q8_K
#define ggml_vec_dot_iq1_m_q8_K_generic ggml_vec_dot_iq1_m_q8_K
#define ggml_vec_dot_mxfp4_q8_0_generic ggml_vec_dot_mxfp4_q8_0
#define ggml_vec_dot_nvfp4_q8_0_generic ggml_vec_dot_nvfp4_q8_0
// repack.cpp
#define ggml_quantize_mat_q8_0_4x4_generic ggml_quantize_mat_q8_0_4x4
#define ggml_quantize_mat_q8_0_4x8_generic ggml_quantize_mat_q8_0_4x8
@@ -201,6 +206,7 @@
#define ggml_vec_dot_iq4_nl_q8_0_generic ggml_vec_dot_iq4_nl_q8_0
#define ggml_vec_dot_iq4_xs_q8_K_generic ggml_vec_dot_iq4_xs_q8_K
#define ggml_vec_dot_mxfp4_q8_0_generic ggml_vec_dot_mxfp4_q8_0
#define ggml_vec_dot_nvfp4_q8_0_generic ggml_vec_dot_nvfp4_q8_0
// repack.cpp
#define ggml_quantize_mat_q8_0_4x1_generic ggml_quantize_mat_q8_0_4x1
#define ggml_quantize_mat_q8_0_4x4_generic ggml_quantize_mat_q8_0_4x4
@@ -240,6 +246,7 @@
#elif defined(__s390x__)
// quants.c
#define quantize_row_q8_K_generic quantize_row_q8_K
#define ggml_vec_dot_nvfp4_q8_0_generic ggml_vec_dot_nvfp4_q8_0
#define ggml_vec_dot_tq1_0_q8_K_generic ggml_vec_dot_tq1_0_q8_K
#define ggml_vec_dot_tq2_0_q8_K_generic ggml_vec_dot_tq2_0_q8_K
#define ggml_vec_dot_q2_K_q8_K_generic ggml_vec_dot_q2_K_q8_K
@@ -302,6 +309,7 @@
#define ggml_vec_dot_iq4_nl_q8_0_generic ggml_vec_dot_iq4_nl_q8_0
#define ggml_vec_dot_iq4_xs_q8_K_generic ggml_vec_dot_iq4_xs_q8_K
#define ggml_vec_dot_mxfp4_q8_0_generic ggml_vec_dot_mxfp4_q8_0
#define ggml_vec_dot_nvfp4_q8_0_generic ggml_vec_dot_nvfp4_q8_0
// repack.cpp
#define ggml_quantize_mat_q8_0_4x4_generic ggml_quantize_mat_q8_0_4x4
#define ggml_quantize_mat_q8_0_4x8_generic ggml_quantize_mat_q8_0_4x8
+84
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@@ -650,6 +650,90 @@ void ggml_vec_dot_mxfp4_q8_0(int n, float * GGML_RESTRICT s, size_t bs, const vo
*s = sumf;
}
void ggml_vec_dot_nvfp4_q8_0(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc) {
assert(nrc == 1);
UNUSED(nrc);
UNUSED(bx);
UNUSED(by);
UNUSED(bs);
assert(n % QK_NVFP4 == 0);
const block_nvfp4 * GGML_RESTRICT x = vx;
const block_q8_0 * GGML_RESTRICT y = vy;
// Each NVFP4 super-block (64 elements) spans 2 q8_0 blocks
const int nb = n / QK_NVFP4;
float sumf = 0;
#if defined __ARM_NEON
const int8x16_t values = vld1q_s8(kvalues_mxfp4);
const uint8x16_t m4b = vdupq_n_u8(0x0f);
float32x4_t acc = vdupq_n_f32(0.0f);
for (int ib = 0; ib < nb; ++ib) {
const uint8x16_t q4bits_0 = vld1q_u8(x[ib].qs);
const uint8x16_t q4bits_1 = vld1q_u8(x[ib].qs + 16);
const int8x16_t q4_lo_0 = ggml_vqtbl1q_s8(values, vandq_u8 (q4bits_0, m4b));
const int8x16_t q4_hi_0 = ggml_vqtbl1q_s8(values, vshrq_n_u8(q4bits_0, 4));
const int8x16_t q4_lo_1 = ggml_vqtbl1q_s8(values, vandq_u8 (q4bits_1, m4b));
const int8x16_t q4_hi_1 = ggml_vqtbl1q_s8(values, vshrq_n_u8(q4bits_1, 4));
const int8x16_t q8_0a = vld1q_s8(y[2*ib].qs);
const int8x16_t q8_0b = vld1q_s8(y[2*ib].qs + 16);
const int8x16_t q8_lo_0 = vcombine_s8(vget_low_s8(q8_0a), vget_low_s8(q8_0b));
const int8x16_t q8_hi_0 = vcombine_s8(vget_high_s8(q8_0a), vget_high_s8(q8_0b));
const int8x16_t q8_1a = vld1q_s8(y[2*ib+1].qs);
const int8x16_t q8_1b = vld1q_s8(y[2*ib+1].qs + 16);
const int8x16_t q8_lo_1 = vcombine_s8(vget_low_s8(q8_1a), vget_low_s8(q8_1b));
const int8x16_t q8_hi_1 = vcombine_s8(vget_high_s8(q8_1a), vget_high_s8(q8_1b));
const int32x4_t p0 = vaddq_s32(
ggml_vdotq_s32(vdupq_n_s32(0), q4_lo_0, q8_lo_0),
ggml_vdotq_s32(vdupq_n_s32(0), q4_hi_0, q8_hi_0));
const int32x4_t p1 = vaddq_s32(
ggml_vdotq_s32(vdupq_n_s32(0), q4_lo_1, q8_lo_1),
ggml_vdotq_s32(vdupq_n_s32(0), q4_hi_1, q8_hi_1));
const int32x4_t sums = vpaddq_s32(p0, p1);
// Decode 4 UE4M3 scales to f32 and multiply with q8 scales
const float dy0 = GGML_CPU_FP16_TO_FP32(y[2*ib].d);
const float dy1 = GGML_CPU_FP16_TO_FP32(y[2*ib+1].d);
const float32x4_t nvsc = {
ggml_ue4m3_to_fp32(x[ib].d[0]),
ggml_ue4m3_to_fp32(x[ib].d[1]),
ggml_ue4m3_to_fp32(x[ib].d[2]),
ggml_ue4m3_to_fp32(x[ib].d[3])
};
const float32x4_t scales = vmulq_f32(nvsc, (float32x4_t){dy0, dy0, dy1, dy1});
acc = vfmaq_f32(acc, vcvtq_f32_s32(sums), scales);
}
sumf = vaddvq_f32(acc);
#else
for (int ib = 0; ib < nb; ++ib) {
for (int si = 0; si < 4; ++si) {
const float d = ggml_ue4m3_to_fp32(x[ib].d[si]);
const int q8b = si / 2;
const int q8o = (si % 2) * QK_NVFP4_SUB;
const float dy = GGML_CPU_FP16_TO_FP32(y[2*ib + q8b].d);
int sumi_lo = 0, sumi_hi = 0;
for (int j = 0; j < QK_NVFP4_SUB/2; ++j) {
const uint8_t qv = x[ib].qs[si*(QK_NVFP4_SUB/2) + j];
sumi_lo += y[2*ib + q8b].qs[q8o + j + 0] * kvalues_mxfp4[qv & 0xf];
sumi_hi += y[2*ib + q8b].qs[q8o + j + QK_NVFP4_SUB/2] * kvalues_mxfp4[qv >> 4];
}
sumf += dy * d * (sumi_lo + sumi_hi);
}
}
#endif
*s = sumf;
}
void ggml_vec_dot_q5_0_q8_0(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc) {
const int qk = QK8_0;
const int nb = n / qk;
+6
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@@ -270,6 +270,12 @@ static const struct ggml_type_traits_cpu type_traits_cpu[GGML_TYPE_COUNT] = {
.vec_dot_type = GGML_TYPE_Q8_0,
.nrows = 1,
},
[GGML_TYPE_NVFP4] = {
.from_float = quantize_row_nvfp4,
.vec_dot = ggml_vec_dot_nvfp4_q8_0,
.vec_dot_type = GGML_TYPE_Q8_0,
.nrows = 1,
},
[GGML_TYPE_Q2_K] = {
.from_float = quantize_row_q2_K,
.vec_dot = ggml_vec_dot_q2_K_q8_K,
+7
View File
@@ -670,6 +670,7 @@ void ggml_compute_forward_add(
case GGML_TYPE_Q5_1:
case GGML_TYPE_Q8_0:
case GGML_TYPE_MXFP4:
case GGML_TYPE_NVFP4:
case GGML_TYPE_Q2_K:
case GGML_TYPE_Q3_K:
case GGML_TYPE_Q4_K:
@@ -1119,6 +1120,7 @@ void ggml_compute_forward_add1(
case GGML_TYPE_Q8_0:
case GGML_TYPE_Q8_1:
case GGML_TYPE_MXFP4:
case GGML_TYPE_NVFP4:
case GGML_TYPE_Q2_K:
case GGML_TYPE_Q3_K:
case GGML_TYPE_Q4_K:
@@ -1247,6 +1249,7 @@ void ggml_compute_forward_acc(
case GGML_TYPE_Q8_0:
case GGML_TYPE_Q8_1:
case GGML_TYPE_MXFP4:
case GGML_TYPE_NVFP4:
case GGML_TYPE_Q2_K:
case GGML_TYPE_Q3_K:
case GGML_TYPE_Q4_K:
@@ -4334,6 +4337,7 @@ void ggml_compute_forward_out_prod(
case GGML_TYPE_Q5_1:
case GGML_TYPE_Q8_0:
case GGML_TYPE_MXFP4:
case GGML_TYPE_NVFP4:
case GGML_TYPE_Q2_K:
case GGML_TYPE_Q3_K:
case GGML_TYPE_Q4_K:
@@ -4609,6 +4613,7 @@ void ggml_compute_forward_set(
case GGML_TYPE_Q8_0:
case GGML_TYPE_Q8_1:
case GGML_TYPE_MXFP4:
case GGML_TYPE_NVFP4:
case GGML_TYPE_Q2_K:
case GGML_TYPE_Q3_K:
case GGML_TYPE_Q4_K:
@@ -4831,6 +4836,7 @@ void ggml_compute_forward_get_rows(
case GGML_TYPE_Q8_0:
case GGML_TYPE_Q8_1:
case GGML_TYPE_MXFP4:
case GGML_TYPE_NVFP4:
case GGML_TYPE_Q2_K:
case GGML_TYPE_Q3_K:
case GGML_TYPE_Q4_K:
@@ -5555,6 +5561,7 @@ void ggml_compute_forward_clamp(
case GGML_TYPE_Q8_0:
case GGML_TYPE_Q8_1:
case GGML_TYPE_MXFP4:
case GGML_TYPE_NVFP4:
case GGML_TYPE_Q2_K:
case GGML_TYPE_Q3_K:
case GGML_TYPE_Q4_K:
+40
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@@ -50,6 +50,10 @@ void quantize_row_mxfp4(const float * GGML_RESTRICT x, void * GGML_RESTRICT y, i
quantize_row_mxfp4_ref(x, y, k);
}
void quantize_row_nvfp4(const float * GGML_RESTRICT x, void * GGML_RESTRICT y, int64_t k) {
quantize_row_nvfp4_ref(x, y, k);
}
//
// 2-6 bit quantization in super-blocks
//
@@ -216,6 +220,42 @@ void ggml_vec_dot_mxfp4_q8_0_generic(int n, float * GGML_RESTRICT s, size_t bs,
*s = sumf;
}
// NVFP4: super-block of 64 elements = 4 sub-blocks of 16 = 2 q8_0 blocks
void ggml_vec_dot_nvfp4_q8_0_generic(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc) {
assert(nrc == 1);
UNUSED(nrc);
UNUSED(bx);
UNUSED(by);
UNUSED(bs);
assert(n % QK_NVFP4 == 0);
const block_nvfp4 * GGML_RESTRICT x = vx;
const block_q8_0 * GGML_RESTRICT y = vy;
const int nb = n / QK_NVFP4;
float sumf = 0;
for (int ib = 0; ib < nb; ++ib) {
for (int s_idx = 0; s_idx < 4; ++s_idx) {
const float d = ggml_ue4m3_to_fp32(x[ib].d[s_idx]);
const int q8_block = s_idx / 2;
const int q8_off = (s_idx % 2) * QK_NVFP4_SUB;
const float dy = GGML_CPU_FP16_TO_FP32(y[2*ib + q8_block].d);
int sumi_lo = 0, sumi_hi = 0;
for (int j = 0; j < QK_NVFP4_SUB/2; ++j) {
const uint8_t qv = x[ib].qs[s_idx*(QK_NVFP4_SUB/2) + j];
sumi_lo += y[2*ib + q8_block].qs[q8_off + j + 0] * kvalues_mxfp4[qv & 0xf];
sumi_hi += y[2*ib + q8_block].qs[q8_off + j + QK_NVFP4_SUB/2] * kvalues_mxfp4[qv >> 4];
}
sumf += dy * d * (sumi_lo + sumi_hi);
}
}
*s = sumf;
}
void ggml_vec_dot_q5_0_q8_0_generic(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc) {
const int qk = QK8_0;
const int nb = n / qk;
+3
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@@ -20,6 +20,7 @@ void quantize_row_q8_0(const float * GGML_RESTRICT x, void * GGML_RESTRICT y, in
void quantize_row_q8_1(const float * GGML_RESTRICT x, void * GGML_RESTRICT y, int64_t k);
void quantize_row_mxfp4(const float * GGML_RESTRICT x, void * GGML_RESTRICT y, int64_t k);
void quantize_row_nvfp4(const float * GGML_RESTRICT x, void * GGML_RESTRICT y, int64_t k);
void quantize_row_q2_K(const float * GGML_RESTRICT x, void * GGML_RESTRICT y, int64_t k);
void quantize_row_q3_K(const float * GGML_RESTRICT x, void * GGML_RESTRICT y, int64_t k);
@@ -42,6 +43,7 @@ void ggml_vec_dot_q5_1_q8_1(int n, float * GGML_RESTRICT s, size_t bs, const voi
void ggml_vec_dot_q8_0_q8_0(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc);
void ggml_vec_dot_mxfp4_q8_0(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc);
void ggml_vec_dot_nvfp4_q8_0(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc);
void ggml_vec_dot_q2_K_q8_K(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc);
void ggml_vec_dot_q3_K_q8_K(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc);
@@ -73,6 +75,7 @@ void ggml_vec_dot_q5_1_q8_1_generic(int n, float * GGML_RESTRICT s, size_t bs, c
void ggml_vec_dot_q8_0_q8_0_generic(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc);
void ggml_vec_dot_mxfp4_q8_0_generic(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc);
void ggml_vec_dot_nvfp4_q8_0_generic(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc);
void ggml_vec_dot_tq1_0_q8_K_generic(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc);
void ggml_vec_dot_tq2_0_q8_K_generic(int n, float * GGML_RESTRICT s, size_t bs, const void * GGML_RESTRICT vx, size_t bx, const void * GGML_RESTRICT vy, size_t by, int nrc);