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#include "gemm.h"
#include "vec.h"
namespace {
template <typename scalar_t, bool has_bias, int BLOCK_N>
struct scale_C {
static inline void apply(
scalar_t* __restrict__ C,
const int32_t* __restrict__ Ctmp,
const int32_t* __restrict__ Bcomp,
const float* __restrict__ bias,
float As,
const float* __restrict__ Bs) {
TORCH_CHECK(false, "scale_C: scalar path not implemented!");
}
};
#if defined(CPU_CAPABILITY_AVX512)
template <bool has_bias, int BLOCK_N>
struct scale_C<at::BFloat16, has_bias, BLOCK_N> {
static inline void apply(
at::BFloat16* __restrict__ C,
const int32_t* __restrict__ Ctmp,
const int32_t* __restrict__ Bcomp,
const float* __restrict__ bias,
float As,
const float* __restrict__ Bs) {
constexpr int COLS = BLOCK_N / 16;
static_assert(COLS % 2 == 0);
__m512 vc[COLS];
__m512 vd0 = _mm512_set1_ps(As);
auto compute = [&](auto col) {
__m512 vd1 = _mm512_loadu_ps(Bs + col * 16);
__m512i vcomp = _mm512_loadu_si512(Bcomp + col * 16);
__m512i vc32 = _mm512_loadu_si512(Ctmp + col * 16);
vc[col] = _mm512_cvtepi32_ps(_mm512_sub_epi32(vc32, vcomp));
if constexpr (has_bias) {
__m512 vbias = _mm512_loadu_ps(bias + col * 16);
vc[col] = _mm512_fmadd_ps(_mm512_mul_ps(vc[col], vd0), vd1, vbias);
} else {
vc[col] = _mm512_mul_ps(_mm512_mul_ps(vc[col], vd0), vd1);
}
};
Unroll<COLS>{}(compute);
auto storec = [&](auto col) {
// for COLS = 2, 4 use 512bit store
if constexpr (col % 2 == 0) {
_mm512_storeu_si512(
reinterpret_cast<__m512i*>((C + col * 16)), (__m512i)(_mm512_cvtne2ps_pbh(vc[col + 1], vc[col + 0])));
}
};
Unroll<COLS>{}(storec);
}
};
#endif
template <typename scalar_t, bool has_bias, int BLOCK_M, int BLOCK_N>
struct tinygemm_kernel_nn {
static inline void apply(
const uint8_t* __restrict__ A,
const int8_t* __restrict__ B,
scalar_t* __restrict__ C,
const float* __restrict__ As,
const float* __restrict__ Bs,
const int32_t* __restrict__ Bcomp,
const float* __restrict__ bias,
int64_t K,
int64_t lda,
int64_t ldb,
int64_t ldc) {
TORCH_CHECK(false, "tinygemm_kernel_nn: scalar path not implemented!");
}
};
#if defined(CPU_CAPABILITY_AVX512)
template <bool has_bias, int BLOCK_M, int BLOCK_N>
struct tinygemm_kernel_nn<at::BFloat16, has_bias, BLOCK_M, BLOCK_N> {
static inline void apply(
const uint8_t* __restrict__ A,
const int8_t* __restrict__ B,
at::BFloat16* __restrict__ C,
const float* __restrict__ As,
const float* __restrict__ Bs,
const int32_t* __restrict__ Bcomp,
const float* __restrict__ bias,
int64_t K,
int64_t lda,
int64_t ldb,
int64_t ldc) {
constexpr int ROWS = BLOCK_M;
constexpr int COLS = BLOCK_N / 16;
static_assert(COLS % 2 == 0);
// prefetch distance
constexpr int PREFETCH_SIZE_K = 0;
__m512i va;
__m512i vb[COLS];
__m512i vc[ROWS * COLS];
__m512i vcomp[COLS];
__m512 vd0;
__m512 vd1[COLS];
// oops! 4x4 spills but we use 4x2
__m512 vbias[COLS];
// [NOTE]: s8s8 igemm compensation in avx512-vnni
//
// avx512-vnni has no s8s8, so we need to change s8s8 to u8s8 with compensate:
//
// a * b = (a + 128) * b - 128 * b
// s s u s u s
//
// 1) 128 * b is pre-computed when packing B to vnni formats
// 2) a + 128 is fused when dynamically quantize A
//
auto loadc = [&](auto i) { vc[i] = _mm512_set1_epi32(0); };
Unroll<ROWS * COLS>{}(loadc);
const int64_t K4 = K >> 2;
const int64_t lda4 = lda >> 2;
const int64_t ldb4 = ldb; // ldb * 4 >> 2;
const int32_t* a_ptr = reinterpret_cast<const int32_t*>(A);
const int32_t* b_ptr = reinterpret_cast<const int32_t*>(B);
auto compute = [&](auto i, int64_t k) {
constexpr int row = i / COLS;
constexpr int col = i % COLS;
if constexpr (col == 0) {
va = _mm512_set1_epi32(a_ptr[row * lda4 + k]);
}
if constexpr (row == 0) {
vb[col] = _mm512_loadu_si512(b_ptr + k * ldb4 + col * 16);
if constexpr (PREFETCH_SIZE_K > 0) {
_mm_prefetch(b_ptr + (k + PREFETCH_SIZE_K) * ldb4 + col * 16, _MM_HINT_T0);
}
}
vc[i] = _mm512_dpbusd_epi32(vc[i], va, vb[col]);
};
for (int64_t k = 0; k < K4; ++k) {
Unroll<ROWS * COLS>{}(compute, k);
}
auto storec = [&](auto i) {
constexpr int row = i / COLS;
constexpr int col = i % COLS;
// load a scale
if constexpr (col == 0) {
vd0 = _mm512_set1_ps(As[row]);
}
// load b scale and vcomp per 2 vectors
// also load bias if any
if constexpr (row == 0) {
if constexpr (col % 2 == 0) {
vd1[col + 0] = _mm512_loadu_ps(Bs + col * 16);
vd1[col + 1] = _mm512_loadu_ps(Bs + col * 16 + 16);
vcomp[col + 0] = _mm512_loadu_si512(Bcomp + col * 16);
vcomp[col + 1] = _mm512_loadu_si512(Bcomp + col * 16 + 16);
if constexpr (has_bias) {
vbias[col + 0] = _mm512_loadu_ps(bias + col * 16);
vbias[col + 1] = _mm512_loadu_ps(bias + col * 16 + 16);
}
}
}
// for COLS = 2, 4 use 512bit store
if constexpr (col % 2 == 0) {
__m512 vc0 = _mm512_cvtepi32_ps(_mm512_sub_epi32(vc[row * COLS + col + 0], vcomp[col + 0]));
__m512 vc1 = _mm512_cvtepi32_ps(_mm512_sub_epi32(vc[row * COLS + col + 1], vcomp[col + 1]));
if constexpr (has_bias) {
vc0 = _mm512_fmadd_ps(_mm512_mul_ps(vc0, vd0), vd1[col + 0], vbias[col + 0]);
vc1 = _mm512_fmadd_ps(_mm512_mul_ps(vc1, vd0), vd1[col + 1], vbias[col + 1]);
} else {
vc0 = _mm512_mul_ps(_mm512_mul_ps(vc0, vd0), vd1[col + 0]);
vc1 = _mm512_mul_ps(_mm512_mul_ps(vc1, vd0), vd1[col + 1]);
}
_mm512_storeu_si512(
reinterpret_cast<__m512i*>((C + row * ldc + col * 16)), (__m512i)(_mm512_cvtne2ps_pbh(vc1, vc0)));
}
};
Unroll<ROWS * COLS>{}(storec);
}
};
#endif
#define LAUNCH_TINYGEMM_KERNEL_NN(MB_SIZE, NB_SIZE) \
tinygemm_kernel_nn<scalar_t, has_bias, MB_SIZE, NB_SIZE>::apply( \
A + mb_start * lda, \
B + nb_start * 4, \
C + mb_start * ldc + nb_start, \
As + mb_start, \
Bs + nb_start, \
Bcomp + nb_start, \
has_bias ? bias + nb_start : nullptr, \
K, \
lda, \
ldb, \
ldc);
template <typename scalar_t, bool has_bias>
void tinygemm_kernel(
const uint8_t* __restrict__ A,
const int8_t* __restrict__ B,
scalar_t* __restrict__ C,
int32_t* __restrict__ Ctmp,
const float* __restrict__ As,
const float* __restrict__ Bs,
const float* __restrict__ bias,
int64_t M,
int64_t N,
int64_t K,
int64_t lda,
int64_t ldb,
int64_t ldc,
bool brg) {
// B compensation
const int32_t* Bcomp = reinterpret_cast<const int32_t*>(B + block_size_n() * K);
if (brg) {
constexpr int BLOCK_N = block_size_n();
at::native::cpublas::brgemm(M, N, K, lda, ldb, BLOCK_N, /* add_C */ false, A, B, Ctmp);
// apply compensation and scale
for (int64_t m = 0; m < M; ++m) {
scale_C<scalar_t, has_bias, BLOCK_N>::apply(C + m * ldc, Ctmp + m * BLOCK_N, Bcomp, bias, As[m], Bs);
}
return;
}
// pattern: 1-4-16
constexpr int64_t BLOCK_M = 4;
constexpr int64_t BLOCK_N = 64;
const int64_t MB = div_up(M, BLOCK_M);
const int64_t NB = div_up(N, BLOCK_N);
for (int64_t mb = 0; mb < MB; ++mb) {
int64_t mb_start = mb * BLOCK_M;
int64_t mb_size = std::min(BLOCK_M, M - mb_start);
for (int64_t nb = 0; nb < NB; ++nb) {
int64_t nb_start = nb * BLOCK_N;
int64_t nb_size = std::min(BLOCK_N, N - nb_start);
switch (mb_size << 4 | nb_size >> 4) {
// mb_size = 1
case 0x12:
LAUNCH_TINYGEMM_KERNEL_NN(1, 32);
break;
case 0x14:
LAUNCH_TINYGEMM_KERNEL_NN(1, 64);
break;
// mb_size = 2
case 0x22:
LAUNCH_TINYGEMM_KERNEL_NN(2, 32);
break;
case 0x24:
LAUNCH_TINYGEMM_KERNEL_NN(2, 64);
break;
// mb_size = 3
case 0x32:
LAUNCH_TINYGEMM_KERNEL_NN(3, 32);
break;
case 0x34:
LAUNCH_TINYGEMM_KERNEL_NN(3, 64);
break;
// mb_size = 4
case 0x42:
LAUNCH_TINYGEMM_KERNEL_NN(4, 32);
break;
case 0x44:
LAUNCH_TINYGEMM_KERNEL_NN(4, 64);
break;
default:
TORCH_CHECK(false, "Unexpected block size, ", mb_size, "x", "nb_size");
}
}
}
}
template <typename scalar_t>
void int8_scaled_mm_kernel_impl(
scalar_t* __restrict__ out,
const uint8_t* __restrict__ mat1,
const int8_t* __restrict__ mat2,
const float* __restrict__ scales1,
const float* __restrict__ scales2,
const float* __restrict__ bias,
int64_t M,
int64_t N,
int64_t K) {
constexpr int64_t BLOCK_M = block_size_m();
constexpr int64_t BLOCK_N = block_size_n();
const int64_t MB = div_up(M, BLOCK_M);
const int64_t NB = div_up(N, BLOCK_N);
const bool use_brgemm = can_use_brgemm<int8_t>(M);
// K + 4 after compensation
const int64_t packed_row_size = get_row_size<int8_t>(K);
AT_DISPATCH_BOOL(bias != nullptr, has_bias, [&] {
parallel_2d(MB, NB, [&](int64_t mb0, int64_t mb1, int64_t nb0, int64_t nb1) {
// for brgemm, use int32_t for accumulate
alignas(64) int32_t Ctmp[BLOCK_M * BLOCK_N];
loop_2d<int8_t>(mb0, mb1, nb0, nb1, BLOCK_N * K, [&](int64_t mb, int64_t nb, int64_t nb_offset) {
int mb_start = mb * BLOCK_M;
int mb_size = std::min(M - mb_start, BLOCK_M);
int nb_start = nb * BLOCK_N;
int nb_size = std::min(N - nb_start, BLOCK_N);
tinygemm_kernel<scalar_t, has_bias>(
/* A */ mat1 + mb_start * K,
/* B */ mat2 + nb_start * packed_row_size /* nb * BLOCK_N * (K + 4) */,
/* C */ out + mb_start * N + nb_start,
/* Ctmp*/ Ctmp,
/* As */ scales1 + mb_start,
/* Bs */ scales2 + nb_start,
/* bias*/ bias + nb_start,
/* M */ mb_size,
/* N */ nb_size,
/* K */ K,
/* lda */ K,
/* ldb */ nb_size,
/* ldc */ N,
/* brg */ use_brgemm);
});
if (use_brgemm) {
at::native::cpublas::brgemm_release();
}
});
});
}
} // anonymous namespace
// tinygemm interface
template <typename scalar_t>
void tinygemm_kernel(
const uint8_t* __restrict__ A,
const int8_t* __restrict__ B,
scalar_t* __restrict__ C,
int32_t* __restrict__ Ctmp,
const float* __restrict__ As,
const float* __restrict__ Bs,
int64_t M,
int64_t N,
int64_t K,
int64_t lda,
int64_t ldb,
int64_t ldc,
bool brg) {
tinygemm_kernel<scalar_t, false>(A, B, C, Ctmp, As, Bs, nullptr, M, N, K, lda, ldb, ldc, brg);
}
#define INSTANTIATE_TINYGEMM_TEMPLATE(TYPE) \
template void tinygemm_kernel<TYPE>( \
const uint8_t* __restrict__ A, \
const int8_t* __restrict__ B, \
TYPE* __restrict__ C, \
int32_t* __restrict__ Ctmp, \
const float* __restrict__ As, \
const float* __restrict__ Bs, \
int64_t M, \
int64_t N, \
int64_t K, \
int64_t lda, \
int64_t ldb, \
int64_t ldc, \
bool brg)
INSTANTIATE_TINYGEMM_TEMPLATE(at::BFloat16);
INSTANTIATE_TINYGEMM_TEMPLATE(at::Half);
std::tuple<at::Tensor, at::Tensor> per_token_quant_int8_cpu(at::Tensor& A) {
RECORD_FUNCTION("sgl-kernel::per_token_quant_int8_cpu", std::vector<c10::IValue>({A}));
CHECK_LAST_DIM_CONTIGUOUS_INPUT(A);
CHECK_DIM(2, A);
int64_t M = A.size(0);
int64_t K = A.size(1);
int64_t lda = A.stride(0);
const auto st = A.scalar_type();
TORCH_CHECK(st == at::kBFloat16 || st == at::kHalf, "per_token_quant_int8: expect A to be bfloat16 or half.");
auto Aq = at::empty({M, K}, A.options().dtype(at::kByte));
auto As = at::empty({M}, A.options().dtype(at::kFloat));
AT_DISPATCH_REDUCED_FLOATING_TYPES(st, "per_token_quant_int8", [&] {
uint8_t* __restrict__ Aq_data = Aq.data_ptr<uint8_t>();
float* __restrict__ As_data = As.data_ptr<float>();
const scalar_t* __restrict__ A_data = A.data_ptr<scalar_t>();
at::parallel_for(0, M, 0, [&](int64_t begin, int64_t end) {
for (int64_t m = begin; m < end; ++m) {
quantize_row_int8<scalar_t>(Aq_data + m * K, As_data[m], A_data + m * lda, K);
}
});
});
return std::make_tuple(Aq, As);
}
// weight : static, per-channel, symmetric
// activation : dynamic, per-token, symmetric
//
// mat1 : [M, K]
// mat2 : [N, K]
// scales1 : [M]
// scales2 : [N]
// bias : [N]
// out : [M, N]
//
at::Tensor int8_scaled_mm_cpu(
at::Tensor& mat1,
at::Tensor& mat2,
at::Tensor& scales1,
at::Tensor& scales2,
const std::optional<at::Tensor>& bias,
at::ScalarType out_dtype,
bool is_vnni) {
RECORD_FUNCTION("sgl-kernel::int8_scaled_mm_cpu", std::vector<c10::IValue>({mat1, mat2, scales1, scales2, bias}));
auto packed_w = is_vnni ? mat2 : convert_weight_packed(mat2);
CHECK_INPUT(mat1);
CHECK_INPUT(mat2);
CHECK_INPUT(scales1);
CHECK_INPUT(scales2);
CHECK_DIM(2, mat1);
CHECK_DIM(2, mat2);
int64_t M = mat1.size(0);
int64_t N = mat2.size(0);
int64_t K = mat1.size(1);
// see [NOTE]: s8s8 igemm compensation in avx512-vnni
CHECK_EQ(mat2.size(1), (int64_t)(is_vnni ? K + sizeof(int32_t) : K));
CHECK_EQ(scales1.numel(), M);
CHECK_EQ(scales2.numel(), N);
TORCH_CHECK(mat1.scalar_type() == at::kByte, "int8_scaled_mm: expect mat1 to be uint8.");
TORCH_CHECK(mat2.scalar_type() == at::kChar, "int8_scaled_mm: expect mat2 to be int8.");
TORCH_CHECK(
scales1.scalar_type() == at::kFloat && scales2.scalar_type() == at::kFloat,
"int8_scaled_mm: expect scales to be float32.");
auto out = at::empty({M, N}, mat1.options().dtype(out_dtype));
const bool has_bias = bias.has_value();
const float* bias_data = nullptr;
if (has_bias) {
CHECK_EQ(bias.value().size(0), N);
bias_data = bias.value().data_ptr<float>();
}
AT_DISPATCH_REDUCED_FLOATING_TYPES(out_dtype, "int8_scaled_mm_kernel_impl", [&] {
int8_scaled_mm_kernel_impl<scalar_t>(
out.data_ptr<scalar_t>(),
mat1.data_ptr<uint8_t>(),
packed_w.data_ptr<int8_t>(),
scales1.data_ptr<float>(),
scales2.data_ptr<float>(),
bias_data,
M,
N,
K);
});
return out;
}
// fused `per_token_quant_int8_cpu` and `int8_scaled_mm_cpu`
at::Tensor int8_scaled_mm_with_quant(
at::Tensor& mat1,
at::Tensor& mat2,
at::Tensor& scales2,
const std::optional<at::Tensor>& bias,
at::ScalarType out_dtype,
bool is_vnni) {
RECORD_FUNCTION("sgl-kernel::int8_scaled_mm_cpu", std::vector<c10::IValue>({mat1, mat2, scales2, bias}));
auto packed_w = is_vnni ? mat2 : convert_weight_packed(mat2);
CHECK_LAST_DIM_CONTIGUOUS_INPUT(mat1);
CHECK_INPUT(mat2);
CHECK_INPUT(scales2);
CHECK_DIM(2, mat1);
CHECK_DIM(2, mat2);
int64_t M = mat1.size(0);
int64_t N = mat2.size(0);
int64_t K = mat1.size(1);
int64_t lda = mat1.stride(0);
// see [NOTE]: s8s8 igemm compensation in avx512-vnni
CHECK_EQ(mat2.size(1), (int64_t)(is_vnni ? K + sizeof(int32_t) : K));
CHECK_EQ(scales2.numel(), N);
const auto st = mat1.scalar_type();
TORCH_CHECK(st == at::kBFloat16 || st == at::kHalf, "int8_scaled_mm_with_quant: expect A to be bfloat16 or half.");
TORCH_CHECK(st == out_dtype, "int8_scaled_mm_with_quant: expect A has same dtype with out_dtype.");
TORCH_CHECK(mat2.scalar_type() == at::kChar, "int8_scaled_mm_with_quant: expect mat2 to be int8.");
TORCH_CHECK(scales2.scalar_type() == at::kFloat, "int8_scaled_mm_with_quant: expect scales to be float32.");
const int64_t buffer_size = M * K + M * sizeof(float);
auto buffer = at::empty({buffer_size}, mat1.options().dtype(at::kByte));
auto out = at::empty({M, N}, mat1.options().dtype(out_dtype));
const bool has_bias = bias.has_value();
const float* bias_data = nullptr;
if (has_bias) {
CHECK_EQ(bias.value().size(0), N);
bias_data = bias.value().data_ptr<float>();
}
AT_DISPATCH_REDUCED_FLOATING_TYPES(out_dtype, "int8_scaled_mm_with_quant_kernel_impl", [&] {
uint8_t* __restrict__ Aq_data = buffer.data_ptr<uint8_t>();
float* __restrict__ As_data = (float*)((void*)(Aq_data + M * K));
const scalar_t* __restrict__ A_data = mat1.data_ptr<scalar_t>();
at::parallel_for(0, M, 0, [&](int64_t begin, int64_t end) {
for (int64_t m = begin; m < end; ++m) {
quantize_row_int8<scalar_t>(Aq_data + m * K, As_data[m], A_data + m * lda, K);
}
});
int8_scaled_mm_kernel_impl<scalar_t>(
out.data_ptr<scalar_t>(),
Aq_data,
packed_w.data_ptr<int8_t>(),
As_data,
scales2.data_ptr<float>(),
bias_data,
M,
N,
K);
});
return out;
}
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