[Kernel] Update `cutlass_scaled_mm` to support 2d group (blockwise) scaling (#11868)

CMakeLists.txt

@@ -245,7 +245,7 @@ if(VLLM_GPU_LANG STREQUAL "CUDA")
     FetchContent_Declare(
         cutlass
         GIT_REPOSITORY https://github.com/nvidia/cutlass.git
-        GIT_TAG v3.6.0
+        GIT_TAG v3.7.0
         GIT_PROGRESS TRUE
 
         # Speed up CUTLASS download by retrieving only the specified GIT_TAG instead of the history.
@@ -299,7 +299,12 @@ if(VLLM_GPU_LANG STREQUAL "CUDA")
   # CUDA 12.0 or later (and only work on Hopper, 9.0a for now).
   cuda_archs_loose_intersection(SCALED_MM_3X_ARCHS "9.0a" "${CUDA_ARCHS}")
   if(${CMAKE_CUDA_COMPILER_VERSION} VERSION_GREATER 12.0 AND SCALED_MM_3X_ARCHS)
-    set(SRCS "csrc/quantization/cutlass_w8a8/scaled_mm_c3x.cu")
+    set(SRCS 
+       "csrc/quantization/cutlass_w8a8/scaled_mm_c3x.cu"
+       "csrc/quantization/cutlass_w8a8/c3x/scaled_mm_sm90_fp8.cu"
+       "csrc/quantization/cutlass_w8a8/c3x/scaled_mm_sm90_int8.cu"
+       "csrc/quantization/cutlass_w8a8/c3x/scaled_mm_azp_sm90_int8.cu"
+       "csrc/quantization/cutlass_w8a8/c3x/scaled_mm_blockwise_sm90_fp8.cu")
     set_gencode_flags_for_srcs(
       SRCS "${SRCS}"
       CUDA_ARCHS "${SCALED_MM_3X_ARCHS}")

benchmarks/cutlass_benchmarks/w8a8_benchmarks.py

@@ -3,7 +3,7 @@ import copy
 import itertools
 import pickle as pkl
 import time
-from typing import Callable, Iterable, List, Tuple
+from typing import Callable, Iterable, List, Optional, Tuple
 
 import torch
 import torch.utils.benchmark as TBenchmark
@@ -12,6 +12,8 @@ from utils import make_rand_tensors
 from weight_shapes import WEIGHT_SHAPES
 
 from vllm import _custom_ops as ops
+from vllm.model_executor.layers.quantization.utils.fp8_utils import (
+    w8a8_block_fp8_matmul)
 from vllm.utils import FlexibleArgumentParser
 
 DEFAULT_MODELS = list(WEIGHT_SHAPES.keys())
@@ -38,8 +40,15 @@ def bench_fn(label: str, sub_label: str, description: str, fn: Callable, *args,
     ).blocked_autorange(min_run_time=min_run_time)
 
 
-def bench_int8(dtype: torch.dtype, m: int, k: int, n: int, label: str,
-               sub_label: str) -> Iterable[TMeasurement]:
+def bench_int8(
+        dtype: torch.dtype,
+        m: int,
+        k: int,
+        n: int,
+        label: str,
+        sub_label: str,
+        bench_kernels: Optional[List[str]] = None) -> Iterable[TMeasurement]:
+    """Benchmark INT8-based kernels."""
     assert dtype == torch.int8
     a, b = make_rand_tensors(torch.int8, m, n, k)
     scale_a = torch.tensor(1.0, device="cuda", dtype=torch.float32)
@@ -48,155 +57,132 @@ def bench_int8(dtype: torch.dtype, m: int, k: int, n: int, label: str,
     azp = torch.zeros((m, ), device="cuda", dtype=torch.int32)
     azp_adj = torch.zeros((n, ), device="cuda", dtype=torch.int32)
 
+    bench_fns = {
+        "pytorch_bf16_bf16_bf16_matmul-no-scales":
+        lambda: torch.mm(a.to(dtype=torch.bfloat16), b.to(dtype=torch.bfloat16)
+                         ),
+        "pytorch_fp16_fp16_fp16_matmul-no-scales":
+        lambda: torch.mm(a.to(dtype=torch.float16), b.to(dtype=torch.float16)),
+        "cutlass_i8_i8_bf16_scaled_mm":
+        lambda: ops.cutlass_scaled_mm(a, b, scale_a, scale_b, torch.bfloat16),
+        "cutlass_i8_i8_bf16_scaled_mm_bias":
+        lambda: ops.cutlass_scaled_mm(a, b, scale_a, scale_b, torch.bfloat16,
+                                      bias),
+        "cutlass_i8_i8_bf16_scaled_mm_azp":
+        lambda: ops.cutlass_scaled_mm_azp(a, b, scale_a, scale_b, torch.
+                                          bfloat16, azp_adj),
+        "cutlass_i8_i8_bf16_scaled_mm_azp_bias":
+        lambda: ops.cutlass_scaled_mm_azp(a, b, scale_a, scale_b, torch.
+                                          bfloat16, azp_adj, None, bias),
+        "cutlass_i8_i8_bf16_scaled_mm_azp_pt":
+        lambda: ops.cutlass_scaled_mm_azp(a, b, scale_a, scale_b, torch.
+                                          bfloat16, azp_adj, azp),
+        "cutlass_i8_i8_bf16_scaled_mm_azp_pt_bias":
+        lambda: ops.cutlass_scaled_mm_azp(a, b, scale_a, scale_b, torch.
+                                          bfloat16, azp_adj, azp, bias),
+    }
+
     timers = []
-    # pytorch impl - bfloat16
-    timers.append(
-        bench_fn(label, sub_label, "pytorch_bf16_bf16_bf16_matmul-no-scales",
-                 torch.mm, a.to(dtype=torch.bfloat16),
-                 b.to(dtype=torch.bfloat16)))
-
-    # pytorch impl - float16
-    timers.append(
-        bench_fn(label, sub_label,
-                 "pytorch_fp16_fp16_fp16_matmul-no-scales", torch.mm,
-                 a.to(dtype=torch.float16), b.to(dtype=torch.float16)))
-
-    # cutlass impl
-    timers.append(
-        bench_fn(label, sub_label, "cutlass_i8_i8_bf16_scaled_mm",
-                 ops.cutlass_scaled_mm, a, b, scale_a, scale_b,
-                 torch.bfloat16))
-
-    # cutlass with bias
-    timers.append(
-        bench_fn(label, sub_label, "cutlass_i8_i8_bf16_scaled_mm_bias",
-                 ops.cutlass_scaled_mm, a, b, scale_a, scale_b, torch.bfloat16,
-                 bias))
-
-    # cutlass with azp per-tensor
-    timers.append(
-        bench_fn(label, sub_label, "cutlass_i8_i8_bf16_scaled_mm_azp",
-                 ops.cutlass_scaled_mm_azp, a, b, scale_a, scale_b,
-                 torch.bfloat16, azp_adj))
-
-    # cutlass with azp per-tensor + bias
-    timers.append(
-        bench_fn(label, sub_label, "cutlass_i8_i8_bf16_scaled_mm_azp_bias",
-                 ops.cutlass_scaled_mm_azp, a, b, scale_a, scale_b,
-                 torch.bfloat16, azp_adj, None, bias))
-
-    # cutlass with azp per-token
-    timers.append(
-        bench_fn(label, sub_label, "cutlass_i8_i8_bf16_scaled_mm_azp_pt",
-                 ops.cutlass_scaled_mm_azp, a, b, scale_a, scale_b,
-                 torch.bfloat16, azp_adj, azp))
-
-    # cutlass with azp per-token + bias
-    timers.append(
-        bench_fn(label, sub_label, "cutlass_i8_i8_bf16_scaled_mm_azp_pt_bias",
-                 ops.cutlass_scaled_mm_azp, a, b, scale_a, scale_b,
-                 torch.bfloat16, azp_adj, azp, bias))
+    for name, fn in bench_fns.items():
+        # If bench_kernels is None, run all. Otherwise, run only exact matches.
+        if bench_kernels is None or name in bench_kernels:
+            print(f"Running {name}")
+            timers.append(bench_fn(label, sub_label, name, fn))
 
     return timers
 
 
-def bench_fp8(dtype: torch.dtype, m: int, k: int, n: int, label: str,
-              sub_label: str) -> Iterable[TMeasurement]:
+def bench_fp8(
+        dtype: torch.dtype,
+        m: int,
+        k: int,
+        n: int,
+        label: str,
+        sub_label: str,
+        bench_kernels: Optional[List[str]] = None) -> Iterable[TMeasurement]:
+    """Benchmark FP8-based kernels."""
     assert dtype == torch.float8_e4m3fn
     a, b = make_rand_tensors(torch.float8_e4m3fn, m, n, k)
+    a_cont = a.contiguous()
     scale_a = torch.tensor(1.0, device="cuda", dtype=torch.float32)
     scale_b = torch.tensor(1.0, device="cuda", dtype=torch.float32)
+    block_scale_a = torch.rand((m, k // 128),
+                               device="cuda",
+                               dtype=torch.float32)
+    block_scale_b = torch.rand((k // 128, n // 128),
+                               device="cuda",
+                               dtype=torch.float32)
+    block_scale_a_M_major = block_scale_a.t().contiguous().t()
+    block_scale_b_K_major = block_scale_b.t().contiguous().t()
     bias = torch.zeros((n, ), device="cuda", dtype=torch.bfloat16)
 
-    timers = []
+    print(m, k, n)
+
+    bench_fns = {
+        "pytorch_bf16_bf16_bf16_matmul-no-scales":
+        lambda: torch.mm(a.to(dtype=torch.bfloat16), b.to(dtype=torch.bfloat16)
+                         ),
+        "pytorch_fp16_fp16_fp16_matmul-no-scales":
+        lambda: torch.mm(a.to(dtype=torch.float16), b.to(dtype=torch.float16)),
+        "pytorch_fp8_fp8_fp16_scaled_mm":
+        lambda: torch._scaled_mm(
+            a, b, scale_a, scale_b, out_dtype=torch.float16),
+        "pytorch_fp8_fp8_fp16_scaled_mm_fast_accum":
+        lambda: torch._scaled_mm(a,
+                                 b,
+                                 scale_a,
+                                 scale_b,
+                                 out_dtype=torch.float16,
+                                 use_fast_accum=True),
+        "pytorch_fp8_fp8_bf16_scaled_mm":
+        lambda: torch._scaled_mm(
+            a, b, scale_a, scale_b, out_dtype=torch.bfloat16),
+        "pytorch_fp8_fp8_bf16_scaled_mm_fast_accum":
+        lambda: torch._scaled_mm(a,
+                                 b,
+                                 scale_a,
+                                 scale_b,
+                                 out_dtype=torch.bfloat16,
+                                 use_fast_accum=True),
+        "cutlass_fp8_fp8_bf16_scaled_mm":
+        lambda: ops.cutlass_scaled_mm(a, b, scale_a, scale_b, torch.bfloat16),
+        "cutlass_fp8_fp8_fp16_scaled_mm":
+        lambda: ops.cutlass_scaled_mm(a, b, scale_a, scale_b, torch.float16),
+        "cutlass_fp8_fp8_bf16_scaled_mm_bias":
+        lambda: ops.cutlass_scaled_mm(a, b, scale_a, scale_b, torch.bfloat16,
+                                      bias),
+        "cutlass_fp8_fp8_fp16_scaled_mm_bias":
+        lambda: ops.cutlass_scaled_mm(a, b, scale_a, scale_b, torch.float16,
+                                      bias.to(dtype=torch.float16)),
+        "triton_fp8_fp8_fp16_scaled_mm_blockwise":
+        lambda: w8a8_block_fp8_matmul(a_cont, b.t(), block_scale_a,
+                                      block_scale_b.t(), (128, 128)),
+        "cutlass_fp8_fp8_fp16_scaled_mm_blockwise":
+        lambda: ops.cutlass_scaled_mm(a, b, block_scale_a_M_major,
+                                      block_scale_b_K_major, torch.float16),
+    }
 
-    # pytorch impl w. bf16
-    timers.append(
-        bench_fn(label, sub_label, "pytorch_bf16_bf16_bf16_matmul-no-scales",
-                 torch.mm, a.to(dtype=torch.bfloat16, device="cuda"),
-                 b.to(dtype=torch.bfloat16, device="cuda")))
-
-    # pytorch impl: bf16 output, without fp8 fast accum
-    timers.append(
-        bench_fn(label,
-                 sub_label,
-                 "pytorch_fp8_fp8_bf16_scaled_mm",
-                 torch._scaled_mm,
-                 a,
-                 b,
-                 scale_a=scale_a,
-                 scale_b=scale_b,
-                 out_dtype=torch.bfloat16))
-
-    # pytorch impl: bf16 output, with fp8 fast accum
-    timers.append(
-        bench_fn(label,
-                 sub_label,
-                 "pytorch_fp8_fp8_bf16_scaled_mm_fast_accum",
-                 torch._scaled_mm,
-                 a,
-                 b,
-                 scale_a=scale_a,
-                 scale_b=scale_b,
-                 out_dtype=torch.bfloat16,
-                 use_fast_accum=True))
-
-    # pytorch impl: fp16 output, without fp8 fast accum
-    timers.append(
-        bench_fn(label,
-                 sub_label,
-                 "pytorch_fp8_fp8_fp16_scaled_mm",
-                 torch._scaled_mm,
-                 a,
-                 b,
-                 scale_a=scale_a,
-                 scale_b=scale_b,
-                 out_dtype=torch.float16))
-
-    # pytorch impl: fp16 output, with fp8 fast accum
-    timers.append(
-        bench_fn(label,
-                 sub_label,
-                 "pytorch_fp8_fp8_fp16_scaled_mm_fast_accum",
-                 torch._scaled_mm,
-                 a,
-                 b,
-                 scale_a=scale_a,
-                 scale_b=scale_b,
-                 out_dtype=torch.float16,
-                 use_fast_accum=True))
-
-    # cutlass impl: bf16 output
-    timers.append(
-        bench_fn(label, sub_label, "cutlass_fp8_fp8_bf16_scaled_mm",
-                 ops.cutlass_scaled_mm, a, b, scale_a, scale_b,
-                 torch.bfloat16))
-    # cutlass impl: fp16 output
-    timers.append(
-        bench_fn(label, sub_label, "cutlass_fp8_fp8_fp16_scaled_mm",
-                 ops.cutlass_scaled_mm, a, b, scale_a, scale_b, torch.float16))
-
-    # cutlass impl: bf16 output, with bias
-    timers.append(
-        bench_fn(label, sub_label, "cutlass_fp8_fp8_bf16_scaled_mm_bias",
-                 ops.cutlass_scaled_mm, a, b, scale_a, scale_b, torch.bfloat16,
-                 bias))
-
-    # cutlass impl: fp16 output, with bias
-    timers.append(
-        bench_fn(label, sub_label, "cutlass_fp8_fp8_fp16_scaled_mm_bias",
-                 ops.cutlass_scaled_mm, a, b, scale_a, scale_b, torch.float16,
-                 bias.to(dtype=torch.float16)))
+    timers = []
+    for name, fn in bench_fns.items():
+        # If bench_kernels is None, run all. Otherwise, run only exact matches.
+        if bench_kernels is None or name in bench_kernels:
+            print(f"Running {name}")
+            timers.append(bench_fn(label, sub_label, name, fn))
 
     return timers
 
 
-def bench(dtype: torch.dtype, m: int, k: int, n: int, label: str,
-          sub_label: str) -> Iterable[TMeasurement]:
+def bench(dtype: torch.dtype,
+          m: int,
+          k: int,
+          n: int,
+          label: str,
+          sub_label: str,
+          bench_kernels: Optional[List[str]] = None) -> Iterable[TMeasurement]:
     if dtype == torch.int8:
-        return bench_int8(dtype, m, k, n, label, sub_label)
+        return bench_int8(dtype, m, k, n, label, sub_label, bench_kernels)
     if dtype == torch.float8_e4m3fn:
-        return bench_fp8(dtype, m, k, n, label, sub_label)
+        return bench_fp8(dtype, m, k, n, label, sub_label, bench_kernels)
     raise ValueError("unsupported type")
 
 
@@ -207,18 +193,22 @@ def print_timers(timers: Iterable[TMeasurement]):
 
 
 def run(dtype: torch.dtype,
-        MKNs: Iterable[Tuple[int, int, int]]) -> Iterable[TMeasurement]:
+        MKNs: Iterable[Tuple[int, int, int]],
+        bench_kernels: Optional[List[str]] = None) -> Iterable[TMeasurement]:
     results = []
     for m, k, n in MKNs:
-        timers = bench(dtype, m, k, n, f"scaled-{dtype}-gemm",
-                       f"MKN=({m}x{k}x{n})")
+        timers = bench(dtype,
+                       m,
+                       k,
+                       n,
+                       f"scaled-{dtype}-gemm",
+                       f"MKN=({m}x{k}x{n})",
+                       bench_kernels=bench_kernels)
         print_timers(timers)
         results.extend(timers)
-
     return results
 
 
-# output makers
 def make_output(data: Iterable[TMeasurement],
                 MKNs: Iterable[Tuple[int, int, int]],
                 base_description: str,
@@ -232,15 +222,11 @@ def make_output(data: Iterable[TMeasurement],
         pkl.dump(data, f)
 
 
-# argparse runners
-
-
 def run_square_bench(args):
     dim_sizes = list(
         range(args.dim_start, args.dim_end + 1, args.dim_increment))
     MKNs = list(zip(dim_sizes, dim_sizes, dim_sizes))
-    data = run(args.dtype, MKNs)
-
+    data = run(args.dtype, MKNs, bench_kernels=args.kernels)
     make_output(data, MKNs, f"square_bench-{args.dtype}")
 
 
@@ -251,8 +237,7 @@ def run_range_bench(args):
     Ks = [args.k_constant] * n if args.k_constant is not None else dim_sizes
     Ns = [args.n_constant] * n if args.n_constant is not None else dim_sizes
     MKNs = list(zip(Ms, Ks, Ns))
-    data = run(args.dtype, MKNs)
-
+    data = run(args.dtype, MKNs, bench_kernels=args.kernels)
     make_output(data, MKNs, f"range_bench-{args.dtype}")
 
 
@@ -278,7 +263,7 @@ def run_model_bench(args):
             for k, n in KNs:
                 MKNs.append((m, k, n))
 
-        data = run(args.dtype, MKNs)
+        data = run(args.dtype, MKNs, bench_kernels=args.kernels)
         model_bench_data.append(data)
 
     # Print all results
@@ -328,6 +313,15 @@ Benchmark Cutlass GEMM.
                         type=to_torch_dtype,
                         required=True,
                         help="Available options are ['int8', 'fp8']")
+    parser.add_argument(
+        "--kernels",
+        nargs="+",
+        type=str,
+        default=None,
+        help=
+        "Exact names of the kernels to benchmark. If not set, runs all kernels."
+    )
+
     subparsers = parser.add_subparsers(dest="cmd")
 
     square_parser = subparsers.add_parser("square_bench")
@@ -362,4 +356,4 @@ Benchmark Cutlass GEMM.
     model_parser.set_defaults(func=run_model_bench)
 
     args = parser.parse_args()
-    args.func(args)
+    args.func(args)
\ No newline at end of file

csrc/core/math.hpp

+#pragma once
+
 #include <climits>
 #include <iostream>
 
-inline uint32_t next_pow_2(uint32_t const num) {
+inline constexpr uint32_t next_pow_2(uint32_t const num) {
   if (num <= 1) return num;
   return 1 << (CHAR_BIT * sizeof(num) - __builtin_clz(num - 1));
+}
+
+template <typename T>
+inline constexpr std::enable_if_t<std::is_integral_v<T>, T> ceil_div(T a, T b) {
+  return (a + b - 1) / b;
 }
\ No newline at end of file

csrc/cutlass_extensions/common.hpp

@@ -32,3 +32,20 @@ inline int get_cuda_max_shared_memory_per_block_opt_in(int const device) {
 }
 
 int32_t get_sm_version_num();
+
+/**
+ * A wrapper for a kernel that is used to guard against compilation on
+ * architectures that will never use the kernel. The purpose of this is to
+ * reduce the size of the compiled binary.
+ * __CUDA_ARCH__ is not defined in host code, so this lets us smuggle the ifdef
+ * into code that will be executed on the device where it is defined.
+ */
+template <typename Kernel>
+struct enable_sm90_or_later : Kernel {
+  template <typename... Args>
+  CUTLASS_DEVICE void operator()(Args&&... args) {
+#if defined __CUDA_ARCH__ && __CUDA_ARCH__ >= 900
+    Kernel::operator()(std::forward<Args>(args)...);
+#endif
+  }
+};
\ No newline at end of file

csrc/cutlass_extensions/gemm/collective/collective_builder.hpp

+// Modified from: cutlass/gemm/collective/builders/sm90_gmma_builder.inl
+// clang-format off
+#pragma once
+
+#include "cutlass/gemm/collective/builders/sm90_gmma_builder.inl"
+
+#include "cutlass_extensions/gemm/collective/sm90_mma_tma_gmma_ss_warpspecialized_fp8_blockwise_scaling.hpp"
+
+
+/////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace cutlass::gemm::collective {
+
+/////////////////////////////////////////////////////////////////////////////////////////////////
+
+// GMMA_TMA_WS_SS (BlockScaled Builders)
+template <
+  class ElementA,
+  class GmemLayoutATag,
+  int AlignmentA,
+  class ElementB,
+  class GmemLayoutBTag,
+  int AlignmentB,
+  class ElementAccumulator,
+  class TileShape_MNK,
+  class ClusterShape_MNK,
+  class StageCountType,
+  int ScaleGranularityM
+>
+struct CollectiveBuilder<
+    arch::Sm90,
+    arch::OpClassTensorOp,
+    ElementA,
+    GmemLayoutATag,
+    AlignmentA,
+    ElementB,
+    GmemLayoutBTag,
+    AlignmentB,
+    ElementAccumulator,
+    TileShape_MNK,
+    ClusterShape_MNK,
+    StageCountType,
+    KernelTmaWarpSpecializedCooperativeFP8BlockScaledSubGroupMAccum<ScaleGranularityM>,
+    cute::enable_if_t<
+      not detail::is_use_rmem_A<ElementA, GmemLayoutATag, ElementB, GmemLayoutBTag>()>
+> {
+  using KernelScheduleType = KernelTmaWarpSpecializedCooperativeFP8BlockScaledSubGroupMAccum<ScaleGranularityM>;
+
+  static_assert(is_static<TileShape_MNK>::value);
+  static_assert(is_static<ClusterShape_MNK>::value);
+#ifndef CUTLASS_SM90_COLLECTIVE_BUILDER_SUPPORTED
+  static_assert(cutlass::detail::dependent_false<ElementA>, "Unsupported Toolkit for SM90 Collective Builder\n");
+#endif
+  static_assert(detail::is_aligned<ElementA, AlignmentA, ElementB, AlignmentB, detail::tma_alignment_bytes>(),
+                "Should meet TMA alignment requirement\n");
+
+  static constexpr bool IsArrayOfPointersGemm = (cute::is_any_of_v<KernelScheduleType,
+                                                                   KernelPtrArrayTmaWarpSpecializedCooperative,
+                                                                   KernelPtrArrayTmaWarpSpecializedPingpong>);
+  static constexpr bool IsFP8Input = detail::is_input_fp8<ElementA, ElementB>();
+  static_assert((!IsFP8Input || !IsArrayOfPointersGemm),
+                "KernelTmaWarpSpecializedCooperativeFP8BlockScaledAccum is only compatible with FP8 Blocked Scaled version right now.");
+
+  // For fp32 types, map to tf32 MMA value type
+  using ElementAMma = cute::conditional_t<cute::is_same_v<ElementA, float>, tfloat32_t, ElementA>;
+  using ElementBMma = cute::conditional_t<cute::is_same_v<ElementB, float>, tfloat32_t, ElementB>;
+
+  static constexpr cute::GMMA::Major GmmaMajorA = detail::gmma_ss_tag_to_major_A<ElementAMma, GmemLayoutATag>();
+  static constexpr cute::GMMA::Major GmmaMajorB = detail::gmma_ss_tag_to_major_B<ElementBMma, GmemLayoutBTag>();
+
+  static constexpr bool IsCooperative = cute::is_any_of_v<KernelScheduleType,
+                                                          KernelTmaWarpSpecializedCooperative,
+                                                          KernelPtrArrayTmaWarpSpecializedCooperative,
+                                                          KernelTmaWarpSpecializedCooperativeFP8BlockScaledSubGroupMAccum<ScaleGranularityM>>;
+  using AtomLayoutMNK = cute::conditional_t<IsCooperative,
+      Layout<Shape<_2,_1,_1>>, Layout<Shape<_1,_1,_1>>>;
+
+  using TiledMma = decltype(cute::make_tiled_mma(cute::GMMA::ss_op_selector<
+      ElementAMma, ElementBMma, ElementAccumulator, TileShape_MNK, GmmaMajorA, GmmaMajorB>(), AtomLayoutMNK{}));
+
+  using GmemTiledCopyA = decltype(detail::sm90_cluster_shape_to_tma_atom(shape<1>(ClusterShape_MNK{})));
+  using GmemTiledCopyB = decltype(detail::sm90_cluster_shape_to_tma_atom(shape<0>(ClusterShape_MNK{})));
+
+  using SmemLayoutAtomA = decltype(detail::ss_smem_selector<
+      GmmaMajorA, ElementAMma, decltype(cute::get<0>(TileShape_MNK{})), decltype(cute::get<2>(TileShape_MNK{}))>());
+  using SmemLayoutAtomB = decltype(detail::ss_smem_selector<
+      GmmaMajorB, ElementBMma, decltype(cute::get<1>(TileShape_MNK{})), decltype(cute::get<2>(TileShape_MNK{}))>());
+
+  static constexpr size_t TensorMapStorage = IsArrayOfPointersGemm ? sizeof(cute::TmaDescriptor) * 2 /* for A and B */ : 0;
+  static constexpr int KernelSmemCarveout = static_cast<int>(TensorMapStorage);
+
+  static constexpr int PipelineStages = detail::compute_stage_count_or_override<detail::sm90_smem_capacity_bytes - KernelSmemCarveout,
+      ElementAMma, ElementBMma, TileShape_MNK>(StageCountType{});
+  using DispatchPolicy = MainloopSm90TmaGmmaWarpSpecializedBlockScalingSubGroupMFP8<PipelineStages, ClusterShape_MNK, KernelScheduleType, ScaleGranularityM>;
+
+  using SmemCopyAtomA = void;
+  using SmemCopyAtomB = void;
+
+  using CollectiveOp = CollectiveMma<
+      DispatchPolicy,
+      TileShape_MNK,
+      ElementA,
+      TagToStrideA_t<GmemLayoutATag>,
+      ElementB,
+      TagToStrideB_t<GmemLayoutBTag>,
+      TiledMma,
+      GmemTiledCopyA,
+      SmemLayoutAtomA,
+      SmemCopyAtomA,
+      cute::identity,
+      GmemTiledCopyB,
+      SmemLayoutAtomB,
+      SmemCopyAtomB,
+      cute::identity
+    >;
+};
+
+
+/////////////////////////////////////////////////////////////////////////////////////////////////
+
+}  // namespace cutlass::gemm::collective
+
+/////////////////////////////////////////////////////////////////////////////////////////////////

csrc/cutlass_extensions/gemm/collective/fp8_accumulation.hpp

+// clang-format off
+// adapted from: https://github.com/soundOfDestiny/cutlass/blob/a4208aa6958864923505cade9c63eb2a6daf16e5/include/cutlass/gemm/collective/fp8_accumulation.hpp
+
+/***************************************************************************************************
+ * Copyright (c) 2023 - 2024 NVIDIA CORPORATION & AFFILIATES. All rights reserved.
+ * SPDX-License-Identifier: BSD-3-Clause
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright notice, this
+ * list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ *
+ * 3. Neither the name of the copyright holder nor the names of its
+ * contributors may be used to endorse or promote products derived from
+ * this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+ * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+ * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+ * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ **************************************************************************************************/
+
+#pragma once
+
+#include "cute/algorithm/clear.hpp"
+#include "cute/tensor.hpp"
+
+//////////////////////////////////////////////////////////////////////////////
+///////////////////////////////////FP8 Accumulation///////////////////////////
+//////////////////////////////////////////////////////////////////////////////
+/// This class provides API to promote (add) or scale (multiply_add) the results
+/// from the tensor core accumulators to the main accumulators when the number 
+/// of MMAs reaches the max number of MMA interval specified by user, after that
+/// the tensor core accumulators are zeroed.
+//////////////////////////////////////////////////////////////////////////////
+
+namespace cutlass::gemm::collective {
+
+template <
+    class EngineAccum,
+    class LayoutAccum>
+struct GmmaFP8AccumulationWithScale {  
+  using TensorAccum = cute::Tensor<EngineAccum, LayoutAccum>;
+  using ElementAccumulator = typename EngineAccum::value_type;
+
+  static_assert(is_static<LayoutAccum>::value, "Accumulator Layout should be static");
+  static_assert(is_rmem<TensorAccum>::value , "Accumulator tensor must be rmem resident.");
+
+private:
+  TensorAccum& accum_;
+  TensorAccum accum_temp_;
+
+  uint32_t accum_promotion_interval_;         // defines the max num of executed MMAs after which accum should be promoted.
+  uint32_t mma_count_per_mainloop_iteration_; // num of MMAs per k_tile of mainloop
+  uint32_t mma_count_;                        // current executed MMAs
+  uint32_t reset_accum_flag_;                 // accum needs to be zeroed or not. 
+
+  // promote or `add` the partial accumulators to main accumulator (FADD).
+  CUTLASS_DEVICE
+  void promote_core() {
+    warpgroup_wait<0>();
+    CUTLASS_PRAGMA_UNROLL
+    for (int i = 0; i < size(accum_); ++i) {
+      accum_(i) += accum_temp_(i);
+    }
+  }
+
+  // `multiply` scale the partial accumulators and `add` to main accumulator (FFMA).
+  template <
+    class EngineScale,
+    class LayoutScale>
+  CUTLASS_DEVICE
+  void scale_core(const cute::Tensor<EngineScale, LayoutScale> &scale) {
+    using TensorScale = cute::Tensor<EngineScale, LayoutScale>;
+
+    static_assert(is_static<LayoutScale>::value, "Scale Layout should be static");
+    static_assert(is_rmem<TensorScale>::value , "Scale tensor must be rmem resident.");
+
+    static_assert(LayoutAccum{}.shape() == LayoutScale{}.shape(), "Accumulator and scale must have same shape.");
+
+    warpgroup_wait<0>();
+    CUTLASS_PRAGMA_UNROLL
+    for (int i = 0; i < size(accum_); ++i) {
+      accum_(i) += accum_temp_(i) * scale(i);
+    }
+  }
+
+public:
+  CUTLASS_DEVICE
+  GmmaFP8AccumulationWithScale(
+      TensorAccum &accum,
+      uint32_t accum_promotion_interval,
+      uint32_t mma_count_per_mainloop_iteration)
+      : accum_(accum), 
+        accum_promotion_interval_(accum_promotion_interval),
+        mma_count_per_mainloop_iteration_(mma_count_per_mainloop_iteration),
+        mma_count_(0), 
+        reset_accum_flag_(0) 
+  {
+    accum_temp_ = cute::make_fragment_like(accum);
+  }
+
+  //
+  // Methods (Common)
+  //
+
+  CUTLASS_DEVICE 
+  TensorAccum& operator()() {
+    return accum_temp_;
+  }
+
+  /// prepare the MMA accumulators when initialization or zeroing is required.
+  CUTLASS_DEVICE
+  bool prepare_if_needed() { 
+    return reset_accum_flag_;
+  }
+
+  //
+  // Methods (for FADD version)
+  //
+
+  /// promote (add) the results from the MMA accumulators to main accumulator if needed.
+  CUTLASS_DEVICE
+  void promote_if_needed() {
+    mma_count_ += mma_count_per_mainloop_iteration_;
+    reset_accum_flag_ = __shfl_sync(0xffffffff, mma_count_ == accum_promotion_interval_, 0);
+    if (reset_accum_flag_) {
+      promote_core();
+      mma_count_ = 0;
+    }
+  }
+
+  /// promote (add) the residue results from the MMA accumulators to main accumulator if needed.
+  CUTLASS_DEVICE
+  void promote_residue_if_needed() {
+    if (__shfl_sync(0xffffffff, mma_count_ > 0, 0)) {
+      promote_core();
+    }
+  }
+
+  //
+  // Methods (for FFMA version)
+  //
+
+  /// scale (multiply_add) the results from the MMA accumulators to main accumulator if needed.
+  template <
+    class EngineScale,
+    class LayoutScale>
+  CUTLASS_DEVICE
+  void scale_if_needed(const cute::Tensor<EngineScale, LayoutScale> &scale) {
+    mma_count_ += mma_count_per_mainloop_iteration_;
+    reset_accum_flag_ = __shfl_sync(0xffffffff, mma_count_ == accum_promotion_interval_, 0);
+    if (reset_accum_flag_) {
+      scale_core(scale);
+      mma_count_ = 0;
+    }
+  }
+
+  /// scale (multiply_add) the residue results from the MMA accumulators to main accumulator if needed.
+  template <
+    class EngineScale,
+    class LayoutScale>
+  CUTLASS_DEVICE
+  void scale_residue_if_needed(const cute::Tensor<EngineScale, LayoutScale> &scale) {
+    if (__shfl_sync(0xffffffff, mma_count_ > 0, 0)) {
+      scale_core(scale);
+    }
+  }
+};
+
+} // namespace cutlass::gemm::collective

csrc/cutlass_extensions/gemm/dispatch_policy.hpp

+#pragma once
+
+#include "cutlass/gemm/dispatch_policy.hpp"
+
+namespace cutlass::gemm {
+
+//////////////////////////////////////////////////////////////////////////////
+
+// FP8 related policies (including Blocked Scaled Accumulation)
+//  `ScaleGranularityM` specifies scaling granularity along M, while zero-value
+//  `ScaleGranularityM` indicates that scaling granularity is
+//  `size<0>(TileShape_MNK{})` along M.
+template <int ScaleGranularityM = 0>
+struct KernelTmaWarpSpecializedCooperativeFP8BlockScaledSubGroupMAccum
+    : KernelTmaWarpSpecializedCooperative {};
+
+// n-buffer in smem (Hopper TMA), pipelined with Hopper GMMA and TMA, Warp
+// specialized dynamic schedule For FP8 kernels with Block Scaling
+template <int Stages_, class ClusterShape_ = Shape<_1, _1, _1>,
+          class KernelSchedule = KernelTmaWarpSpecialized,
+          int ScaleGranularityM =
+              0  // `ScaleGranularityM` specifies scaling granularity along M,
+                 // while zero-value `ScaleGranularityM` indicates that scaling
+                 // granularity is `size<0>(TileShape_MNK{})` along M.
+          >
+struct MainloopSm90TmaGmmaWarpSpecializedBlockScalingSubGroupMFP8
+    : MainloopSm90TmaGmmaWarpSpecialized<Stages_, ClusterShape_,
+                                         KernelSchedule> {
+  static_assert(
+      cute::is_same_v<
+          KernelSchedule,
+          KernelTmaWarpSpecializedCooperativeFP8BlockScaledSubGroupMAccum<
+              ScaleGranularityM>>,
+      "KernelSchedule must be one of the warp specialized policies");
+};
+
+//////////////////////////////////////////////////////////////////////////////
+
+}  // namespace cutlass::gemm
\ No newline at end of file

csrc/cutlass_extensions/vllm_collective_builder.cuh

 #pragma once
 
-#include "cutlass/gemm/collective/collective_builder.hpp"
+#include "cutlass_extensions/gemm/collective/collective_builder.hpp"
 
 namespace cutlass::gemm::collective {
 using namespace cute;

csrc/quantization/cutlass_w8a8/c3x/cutlass_gemm_caller.cuh

+#pragma once
+
+// clang-format will break include orders
+// clang-format off
+#include <torch/all.h>
+
+#include <ATen/cuda/CUDAContext.h>
+
+#include "cutlass/cutlass.h"
+
+#include "cute/tensor.hpp"
+#include "cute/atom/mma_atom.hpp"
+#include "cutlass/numeric_types.h"
+
+#include "cutlass/gemm/device/gemm_universal_adapter.h"
+#include "cutlass/gemm/kernel/gemm_universal.hpp"
+#include "cutlass/epilogue/collective/collective_builder.hpp"
+#include "cutlass/gemm/collective/collective_builder.hpp"
+
+#include "core/math.hpp"
+#include "cutlass_extensions/common.hpp"
+// clang-format on
+
+namespace vllm::c3x {
+
+static inline cute::Shape<int, int, int, int> get_problem_shape(
+    torch::Tensor const& a, torch::Tensor const& b) {
+  int32_t m = a.size(0), n = b.size(1), k = a.size(1);
+  return {m, n, k, 1};
+}
+
+template <typename GemmKernel>
+void cutlass_gemm_caller(torch::Device device,
+                         cute::Shape<int, int, int, int> prob_shape,
+                         typename GemmKernel::MainloopArguments mainloop_args,
+                         typename GemmKernel::EpilogueArguments epilogue_args) {
+  typename GemmKernel::Arguments args{cutlass::gemm::GemmUniversalMode::kGemm,
+                                      prob_shape, mainloop_args, epilogue_args};
+
+  // Launch the CUTLASS GEMM kernel.
+  using GemmOp = cutlass::gemm::device::GemmUniversalAdapter<GemmKernel>;
+  GemmOp gemm_op;
+  CUTLASS_CHECK(gemm_op.can_implement(args));
+
+  size_t workspace_size = gemm_op.get_workspace_size(args);
+  auto const workspace_options =
+      torch::TensorOptions().dtype(torch::kUInt8).device(device);
+  auto workspace = torch::empty(workspace_size, workspace_options);
+
+  auto stream = at::cuda::getCurrentCUDAStream(device.index());
+
+  cutlass::Status status = gemm_op.run(args, workspace.data_ptr(), stream);
+  CUTLASS_CHECK(status);
+}
+
+template <typename Gemm, typename... EpilogueArgs>
+void cutlass_gemm_caller(torch::Tensor& out, torch::Tensor const& a,
+                         torch::Tensor const& b,
+                         EpilogueArgs&&... epilogue_params) {
+  using ElementAB = typename Gemm::ElementAB;
+  using ElementD = typename Gemm::ElementD;
+  using GemmKernel = typename Gemm::GemmKernel;
+
+  int64_t lda = a.stride(0);
+  int64_t ldb = b.stride(1);
+  int64_t ldc = out.stride(0);
+
+  using StrideA = cute::Stride<int64_t, cute::Int<1>, int64_t>;
+  using StrideB = cute::Stride<int64_t, cute::Int<1>, int64_t>;
+  using StrideC = typename Gemm::StrideC;
+
+  StrideA a_stride{lda, cute::Int<1>{}, 0};
+  StrideB b_stride{ldb, cute::Int<1>{}, 0};
+  StrideC c_stride{ldc, cute::Int<1>{}, cute::Int<0>{}};
+
+  typename GemmKernel::ProblemShape prob_shape = get_problem_shape(a, b);
+
+  auto a_ptr = static_cast<ElementAB*>(a.data_ptr());
+  auto b_ptr = static_cast<ElementAB*>(b.data_ptr());
+  typename GemmKernel::MainloopArguments mainloop_args{a_ptr, a_stride, b_ptr,
+                                                       b_stride};
+
+  auto c_ptr = static_cast<ElementD*>(out.data_ptr());
+  typename GemmKernel::EpilogueArguments epilogue_args{
+      Gemm::Epilogue::prepare_args(
+          std::forward<EpilogueArgs>(epilogue_params)...),
+      c_ptr, c_stride, c_ptr, c_stride};
+
+  cutlass_gemm_caller<GemmKernel>(a.device(), prob_shape, mainloop_args,
+                                  epilogue_args);
+}
+
+}  // namespace vllm::c3x
\ No newline at end of file

csrc/quantization/cutlass_w8a8/scaled_mm_c3x.cuh → csrc/quantization/cutlass_w8a8/c3x/scaled_mm.cuh

@@ -2,9 +2,6 @@
 
 // clang-format will break include orders
 // clang-format off
-#include <torch/all.h>
-
-#include <ATen/cuda/CUDAContext.h>
 
 #include "cutlass/cutlass.h"
 
@@ -32,21 +29,6 @@ using namespace cute;
 
 namespace vllm {
 
-// A wrapper for the GEMM kernel that is used to guard against compilation on
-// architectures that will never use the kernel. The purpose of this is to
-// reduce the size of the compiled binary.
-// __CUDA_ARCH__ is not defined in host code, so this lets us smuggle the ifdef
-// into code that will be executed on the device where it is defined.
-template <typename Kernel>
-struct enable_sm90_or_later : Kernel {
-  template <typename... Args>
-  CUTLASS_DEVICE void operator()(Args&&... args) {
-#if defined __CUDA_ARCH__ && __CUDA_ARCH__ >= 900
-    Kernel::operator()(std::forward<Args>(args)...);
-#endif
-  }
-};
-
 template <typename ElementAB_, typename ElementD_,
           template <typename, typename, typename> typename Epilogue_,
           typename TileShape, typename ClusterShape, typename KernelSchedule,
@@ -101,60 +83,4 @@ struct cutlass_3x_gemm {
   struct GemmKernel : public KernelType {};
 };
 
-template <typename Gemm, typename... EpilogueArgs>
-void cutlass_gemm_caller(torch::Tensor& out, torch::Tensor const& a,
-                         torch::Tensor const& b,
-                         EpilogueArgs&&... epilogue_params) {
-  using ElementAB = typename Gemm::ElementAB;
-  using ElementD = typename Gemm::ElementD;
-
-  int32_t m = a.size(0);
-  int32_t n = b.size(1);
-  int32_t k = a.size(1);
-
-  int64_t lda = a.stride(0);
-  int64_t ldb = b.stride(1);
-  int64_t ldc = out.stride(0);
-
-  using StrideA = Stride<int64_t, Int<1>, int64_t>;
-  using StrideB = Stride<int64_t, Int<1>, int64_t>;
-  using StrideC = typename Gemm::StrideC;
-
-  StrideA a_stride{lda, Int<1>{}, 0};
-  StrideB b_stride{ldb, Int<1>{}, 0};
-  StrideC c_stride{ldc, Int<1>{}, Int<0>{}};
-
-  using GemmKernel = typename Gemm::GemmKernel;
-  typename GemmKernel::ProblemShape prob_shape{m, n, k, 1};
-
-  auto a_ptr = static_cast<ElementAB*>(a.data_ptr());
-  auto b_ptr = static_cast<ElementAB*>(b.data_ptr());
-  typename GemmKernel::MainloopArguments mainloop_args{a_ptr, a_stride, b_ptr,
-                                                       b_stride};
-
-  auto c_ptr = static_cast<ElementD*>(out.data_ptr());
-  typename GemmKernel::EpilogueArguments epilogue_args{
-      Gemm::Epilogue::prepare_args(
-          std::forward<EpilogueArgs>(epilogue_params)...),
-      c_ptr, c_stride, c_ptr, c_stride};
-
-  typename GemmKernel::Arguments args{cutlass::gemm::GemmUniversalMode::kGemm,
-                                      prob_shape, mainloop_args, epilogue_args};
-
-  // Launch the CUTLASS GEMM kernel.
-  using GemmOp = cutlass::gemm::device::GemmUniversalAdapter<GemmKernel>;
-  GemmOp gemm_op;
-  CUTLASS_CHECK(gemm_op.can_implement(args));
-
-  size_t workspace_size = gemm_op.get_workspace_size(args);
-  auto const workspace_options =
-      torch::TensorOptions().dtype(torch::kUInt8).device(a.device());
-  auto workspace = torch::empty(workspace_size, workspace_options);
-
-  auto stream = at::cuda::getCurrentCUDAStream(a.get_device());
-
-  cutlass::Status status = gemm_op.run(args, workspace.data_ptr(), stream);
-  CUTLASS_CHECK(status);
-}
-
 }  // namespace vllm

csrc/quantization/cutlass_w8a8/c3x/scaled_mm_azp_sm90_int8.cu

+#include "scaled_mm_kernels.hpp"
+#include "scaled_mm_sm90_int8_dispatch.cuh"
+#include "cutlass_extensions/epilogue/scaled_mm_epilogues_c3x.hpp"
+
+namespace vllm {
+
+void cutlass_scaled_mm_azp_sm90_int8(torch::Tensor& out, torch::Tensor const& a,
+                                     torch::Tensor const& b,
+                                     torch::Tensor const& a_scales,
+                                     torch::Tensor const& b_scales,
+                                     torch::Tensor const& azp_adj,
+                                     std::optional<torch::Tensor> const& azp,
+                                     std::optional<torch::Tensor> const& bias) {
+  if (azp) {
+    return cutlass_scaled_mm_sm90_int8_epilogue<
+        c3x::ScaledEpilogueBiasAzpToken>(out, a, b, a_scales, b_scales, azp_adj,
+                                         *azp, bias);
+  } else {
+    return cutlass_scaled_mm_sm90_int8_epilogue<c3x::ScaledEpilogueBiasAzp>(
+        out, a, b, a_scales, b_scales, azp_adj, bias);
+  }
+}
+
+}  // namespace vllm

csrc/quantization/cutlass_w8a8/c3x/scaled_mm_blockwise_sm90_fp8.cu

+
+#include "scaled_mm_kernels.hpp"
+#include "scaled_mm_blockwise_sm90_fp8_dispatch.cuh"
+#include "cutlass_extensions/epilogue/scaled_mm_epilogues_c3x.hpp"
+
+namespace vllm {
+
+void cutlass_scaled_mm_blockwise_sm90_fp8(torch::Tensor& out,
+                                          torch::Tensor const& a,
+                                          torch::Tensor const& b,
+                                          torch::Tensor const& a_scales,
+                                          torch::Tensor const& b_scales) {
+  if (out.dtype() == torch::kBFloat16) {
+    cutlass_gemm_blockwise_sm90_fp8_dispatch<cutlass::bfloat16_t>(
+        out, a, b, a_scales, b_scales);
+
+  } else {
+    TORCH_CHECK(out.dtype() == torch::kFloat16);
+    cutlass_gemm_blockwise_sm90_fp8_dispatch<cutlass::half_t>(
+        out, a, b, a_scales, b_scales);
+  }
+}
+
+}  // namespace vllm
\ No newline at end of file

csrc/quantization/cutlass_w8a8/c3x/scaled_mm_blockwise_sm90_fp8_dispatch.cuh

+#pragma once
+
+#include "cutlass/cutlass.h"
+#include "cutlass/numeric_types.h"
+
+#include "cute/tensor.hpp"
+#include "cutlass/tensor_ref.h"
+#include "cutlass/gemm/dispatch_policy.hpp"
+#include "cutlass/gemm/collective/collective_builder.hpp"
+#include "cutlass/gemm/device/gemm_universal_adapter.h"
+#include "cutlass/gemm/kernel/gemm_universal.hpp"
+#include "cutlass/gemm/kernel/tile_scheduler_params.h"
+#include "cutlass/epilogue/dispatch_policy.hpp"
+#include "cutlass/epilogue/collective/collective_builder.hpp"
+
+#include "cutlass_extensions/gemm/dispatch_policy.hpp"
+#include "cutlass_extensions/gemm/collective/collective_builder.hpp"
+
+#include "cutlass_gemm_caller.cuh"
+
+namespace vllm {
+
+using namespace cute;
+
+template <typename OutType, int GroupSizeM_, int GroupSizeN_, int GroupSizeK_,
+          int TileSizeM_ = 128, class ClusterShape = Shape<_1, _2, _1>>
+struct cutlass_3x_gemm_fp8_blockwise {
+  using GroupSizeM = Int<GroupSizeM_>;
+  using GroupSizeN = Int<GroupSizeN_>;
+  using GroupSizeK = Int<GroupSizeK_>;
+  using TileSizeM = Int<TileSizeM_>;
+
+  static_assert(TileSizeM_ % GroupSizeM_ == 0,
+                "TileSizeM must be a multiple of GroupSizeM");
+
+  using ElementAB = cutlass::float_e4m3_t;
+
+  using ElementA = ElementAB;
+  using LayoutA = cutlass::layout::RowMajor;
+  static constexpr int AlignmentA = 128 / cutlass::sizeof_bits<ElementA>::value;
+
+  using ElementB = ElementAB;
+  using LayoutB = cutlass::layout::ColumnMajor;
+  static constexpr int AlignmentB = 128 / cutlass::sizeof_bits<ElementB>::value;
+
+  using ElementD = OutType;
+  using StrideD = Stride<int64_t, Int<1>, Int<0>>;
+  static constexpr int AlignmentD = 128 / cutlass::sizeof_bits<ElementD>::value;
+
+  using ElementC = void;
+  using StrideC = StrideD;
+  static constexpr int AlignmentC = AlignmentD;
+
+  using ElementAccumulator = float;
+  using ElementBlockScale = float;
+  using ElementCompute = float;
+  using ArchTag = cutlass::arch::Sm90;
+  using OperatorClass = cutlass::arch::OpClassTensorOp;
+  using TileShape = Shape<TileSizeM, GroupSizeN, GroupSizeK>;
+
+  using KernelSchedule = cutlass::gemm::
+      KernelTmaWarpSpecializedCooperativeFP8BlockScaledSubGroupMAccum<
+          GroupSizeM_>;
+  using EpilogueSchedule = cutlass::epilogue::TmaWarpSpecializedCooperative;
+  using EpilogueTileType = cutlass::epilogue::collective::EpilogueTileAuto;
+
+  using StoreEpilogueCompute = typename cutlass::epilogue::fusion::Sm90EVT<
+      cutlass::epilogue::fusion::Sm90AccFetch>;
+
+  using CollectiveEpilogue =
+      typename cutlass::epilogue::collective::CollectiveBuilder<
+          ArchTag, OperatorClass, TileShape, ClusterShape, EpilogueTileType,
+          ElementAccumulator, ElementCompute, ElementC, StrideC, AlignmentC,
+          ElementD, StrideD, AlignmentD, EpilogueSchedule,
+          StoreEpilogueCompute>::CollectiveOp;
+
+  using CollectiveMainloop =
+      typename cutlass::gemm::collective::CollectiveBuilder<
+          ArchTag, OperatorClass, ElementA, LayoutA, AlignmentA, ElementB,
+          LayoutB, AlignmentB, ElementAccumulator, TileShape, ClusterShape,
+          cutlass::gemm::collective::StageCountAutoCarveout<static_cast<int>(
+              sizeof(typename CollectiveEpilogue::SharedStorage))>,
+          KernelSchedule>::CollectiveOp;
+
+  using KernelType = enable_sm90_or_later<cutlass::gemm::kernel::GemmUniversal<
+      Shape<int, int, int, int>, CollectiveMainloop, CollectiveEpilogue,
+      cutlass::gemm::PersistentScheduler>>;
+
+  struct GemmKernel : public KernelType {};
+
+  using StrideA = typename GemmKernel::StrideA;
+  using StrideB = typename GemmKernel::StrideB;
+};
+
+template <typename Gemm>
+void cutlass_gemm_caller_blockwise(torch::Tensor& out, torch::Tensor const& a,
+                                   torch::Tensor const& b,
+                                   torch::Tensor const& a_scales,
+                                   torch::Tensor const& b_scales) {
+  using GemmKernel = typename Gemm::GemmKernel;
+
+  using ElementAB = typename Gemm::ElementAB;
+  using ElementD = typename Gemm::ElementD;
+
+  auto prob_shape = c3x::get_problem_shape(a, b);
+  int32_t m = get<0>(prob_shape), n = get<1>(prob_shape),
+          k = get<2>(prob_shape);
+
+  int64_t lda = a.stride(0);
+  int64_t ldb = b.stride(1);
+  int64_t ldc = out.stride(0);
+
+  using StrideA = Stride<int64_t, Int<1>, int64_t>;
+  using StrideB = Stride<int64_t, Int<1>, int64_t>;
+  using StrideC = typename Gemm::StrideC;
+
+  StrideA a_stride{lda, Int<1>{}, 0};
+  StrideB b_stride{ldb, Int<1>{}, 0};
+  StrideC c_stride{ldc, Int<1>{}, Int<0>{}};
+
+  auto a_ptr = static_cast<ElementAB*>(a.data_ptr());
+  auto b_ptr = static_cast<ElementAB*>(b.data_ptr());
+  auto a_scales_ptr = static_cast<float*>(a_scales.data_ptr());
+  auto b_scales_ptr = static_cast<float*>(b_scales.data_ptr());
+
+  // Check is the t is contiguous and is 1D or 2D with one of the dimensions
+  // being 1 (i.e. a row or column vector)
+  auto is_contiguous_vector = [](const torch::Tensor& t) {
+    auto t_sizes = t.sizes();
+    return t.is_contiguous() &&
+           (t.dim() == 1 ||
+            (t.dim() == 2 &&
+             *std::min_element(t_sizes.begin(), t_sizes.end()) == 1));
+  };
+
+  // TODO(lucas): lets clean-up the kernel so that we pass in Strides so
+  //  we don't have to deal with enforcing implicit layouts
+  TORCH_CHECK(a_scales.size(0) == m / Gemm::GroupSizeM::value);
+  TORCH_CHECK(a_scales.size(1) == k / Gemm::GroupSizeK::value);
+  TORCH_CHECK(a_scales.stride(0) == 1 || is_contiguous_vector(a_scales),
+              "a_scales must be M major");
+  TORCH_CHECK(b_scales.size(0) == k / Gemm::GroupSizeK::value);
+  TORCH_CHECK(b_scales.size(1) == n / Gemm::GroupSizeN::value);
+  TORCH_CHECK(b_scales.stride(0) == 1 || is_contiguous_vector(b_scales),
+              "b_scales must be K major");
+  typename GemmKernel::MainloopArguments mainloop_args{
+      a_ptr, a_stride, b_ptr, b_stride, a_scales_ptr, b_scales_ptr};
+
+  auto c_ptr = static_cast<ElementD*>(out.data_ptr());
+  typename GemmKernel::EpilogueArguments epilogue_args{
+      {}, c_ptr, c_stride, c_ptr, c_stride};
+
+  c3x::cutlass_gemm_caller<GemmKernel>(a.device(), prob_shape, mainloop_args,
+                                       epilogue_args);
+}
+
+template <typename OutType>
+void cutlass_gemm_blockwise_sm90_fp8_dispatch(torch::Tensor& out,
+                                              torch::Tensor const& a,
+                                              torch::Tensor const& b,
+                                              torch::Tensor const& a_scales,
+                                              torch::Tensor const& b_scales) {
+  cutlass_gemm_caller_blockwise<
+      cutlass_3x_gemm_fp8_blockwise<OutType, 1, 128, 128>>(out, a, b, a_scales,
+                                                           b_scales);
+}
+
+}  // namespace vllm
\ No newline at end of file

csrc/quantization/cutlass_w8a8/c3x/scaled_mm_kernels.hpp

+#pragma once
+
+#include <torch/all.h>
+
+namespace vllm {
+
+void cutlass_scaled_mm_sm90_fp8(torch::Tensor& out, torch::Tensor const& a,
+                                torch::Tensor const& b,
+                                torch::Tensor const& a_scales,
+                                torch::Tensor const& b_scales,
+                                std::optional<torch::Tensor> const& bias);
+
+void cutlass_scaled_mm_sm90_int8(torch::Tensor& out, torch::Tensor const& a,
+                                 torch::Tensor const& b,
+                                 torch::Tensor const& a_scales,
+                                 torch::Tensor const& b_scales,
+                                 std::optional<torch::Tensor> const& bias);
+
+void cutlass_scaled_mm_azp_sm90_int8(torch::Tensor& out, torch::Tensor const& a,
+                                     torch::Tensor const& b,
+                                     torch::Tensor const& a_scales,
+                                     torch::Tensor const& b_scales,
+                                     torch::Tensor const& azp_adj,
+                                     std::optional<torch::Tensor> const& azp,
+                                     std::optional<torch::Tensor> const& bias);
+
+void cutlass_scaled_mm_blockwise_sm90_fp8(torch::Tensor& out,
+                                          torch::Tensor const& a,
+                                          torch::Tensor const& b,
+                                          torch::Tensor const& a_scales,
+                                          torch::Tensor const& b_scales);
+
+}  // namespace vllm

csrc/quantization/cutlass_w8a8/c3x/scaled_mm_sm90_fp8.cu

+#include "scaled_mm_kernels.hpp"
+#include "scaled_mm_sm90_fp8_dispatch.cuh"
+#include "cutlass_extensions/epilogue/scaled_mm_epilogues_c3x.hpp"
+
+namespace vllm {
+
+void cutlass_scaled_mm_sm90_fp8(torch::Tensor& out, torch::Tensor const& a,
+                                torch::Tensor const& b,
+                                torch::Tensor const& a_scales,
+                                torch::Tensor const& b_scales,
+                                std::optional<torch::Tensor> const& bias) {
+  TORCH_CHECK(a_scales.is_contiguous() && b_scales.is_contiguous());
+  if (bias) {
+    TORCH_CHECK(bias->dtype() == out.dtype(),
+                "currently bias dtype must match output dtype ", out.dtype());
+    return cutlass_scaled_mm_sm90_fp8_epilogue<c3x::ScaledEpilogueBias>(
+        out, a, b, a_scales, b_scales, *bias);
+  } else {
+    return cutlass_scaled_mm_sm90_fp8_epilogue<c3x::ScaledEpilogue>(
+        out, a, b, a_scales, b_scales);
+  }
+}
+
+}  // namespace vllm

csrc/quantization/cutlass_w8a8/scaled_mm_c3x_sm90_fp8_dispatch.cuh → csrc/quantization/cutlass_w8a8/c3x/scaled_mm_sm90_fp8_dispatch.cuh

 #pragma once
 
-#include "scaled_mm_c3x.cuh"
+#include "scaled_mm.cuh"
+#include "cutlass_gemm_caller.cuh"
 
 /**
  * This file defines Gemm kernel configurations for SM90 (fp8) based on the Gemm
@@ -9,6 +10,8 @@
 
 namespace vllm {
 
+using c3x::cutlass_gemm_caller;
+
 template <typename InType, typename OutType,
           template <typename, typename, typename> typename Epilogue>
 struct sm90_fp8_config_default {
@@ -93,4 +96,25 @@ inline void cutlass_gemm_sm90_fp8_dispatch(torch::Tensor& out,
   }
 }
 
+template <template <typename, typename, typename> typename Epilogue,
+          typename... EpilogueArgs>
+void cutlass_scaled_mm_sm90_fp8_epilogue(torch::Tensor& out,
+                                         torch::Tensor const& a,
+                                         torch::Tensor const& b,
+                                         EpilogueArgs&&... epilogue_args) {
+  TORCH_CHECK(a.dtype() == torch::kFloat8_e4m3fn);
+  TORCH_CHECK(b.dtype() == torch::kFloat8_e4m3fn);
+
+  if (out.dtype() == torch::kBFloat16) {
+    return cutlass_gemm_sm90_fp8_dispatch<cutlass::float_e4m3_t,
+                                          cutlass::bfloat16_t, Epilogue>(
+        out, a, b, std::forward<EpilogueArgs>(epilogue_args)...);
+  } else {
+    TORCH_CHECK(out.dtype() == torch::kFloat16);
+    return cutlass_gemm_sm90_fp8_dispatch<cutlass::float_e4m3_t,
+                                          cutlass::half_t, Epilogue>(
+        out, a, b, std::forward<EpilogueArgs>(epilogue_args)...);
+  }
+}
+
 }  // namespace vllm
\ No newline at end of file

csrc/quantization/cutlass_w8a8/c3x/scaled_mm_sm90_int8.cu

+#include "scaled_mm_kernels.hpp"
+#include "scaled_mm_sm90_int8_dispatch.cuh"
+#include "cutlass_extensions/epilogue/scaled_mm_epilogues_c3x.hpp"
+
+namespace vllm {
+
+void cutlass_scaled_mm_sm90_int8(torch::Tensor& out, torch::Tensor const& a,
+                                 torch::Tensor const& b,
+                                 torch::Tensor const& a_scales,
+                                 torch::Tensor const& b_scales,
+                                 std::optional<torch::Tensor> const& bias) {
+  TORCH_CHECK(a_scales.is_contiguous() && b_scales.is_contiguous());
+  if (bias) {
+    TORCH_CHECK(bias->dtype() == out.dtype(),
+                "currently bias dtype must match output dtype ", out.dtype());
+    return cutlass_scaled_mm_sm90_int8_epilogue<c3x::ScaledEpilogueBias>(
+        out, a, b, a_scales, b_scales, *bias);
+  } else {
+    return cutlass_scaled_mm_sm90_int8_epilogue<c3x::ScaledEpilogue>(
+        out, a, b, a_scales, b_scales);
+  }
+}
+
+}  // namespace vllm

csrc/quantization/cutlass_w8a8/scaled_mm_c3x_sm90_int8_dispatch.cuh → csrc/quantization/cutlass_w8a8/c3x/scaled_mm_sm90_int8_dispatch.cuh

 #pragma once
 
-#include "scaled_mm_c3x.cuh"
+#include "scaled_mm.cuh"
+#include "cutlass_gemm_caller.cuh"
 
 /**
  * This file defines Gemm kernel configurations for SM90 (int8) based on the
@@ -9,6 +10,8 @@
 
 namespace vllm {
 
+using c3x::cutlass_gemm_caller;
+
 template <typename InType, typename OutType,
           template <typename, typename, typename> typename Epilogue>
 struct sm90_int8_config_default {
@@ -137,4 +140,24 @@ inline void cutlass_gemm_sm90_int8_dispatch(torch::Tensor& out,
   }
 }
 
+template <template <typename, typename, typename> typename Epilogue,
+          typename... EpilogueArgs>
+void cutlass_scaled_mm_sm90_int8_epilogue(torch::Tensor& out,
+                                          torch::Tensor const& a,
+                                          torch::Tensor const& b,
+                                          EpilogueArgs&&... epilogue_args) {
+  TORCH_CHECK(a.dtype() == torch::kInt8);
+  TORCH_CHECK(b.dtype() == torch::kInt8);
+
+  if (out.dtype() == torch::kBFloat16) {
+    return cutlass_gemm_sm90_int8_dispatch<int8_t, cutlass::bfloat16_t,
+                                           Epilogue>(
+        out, a, b, std::forward<EpilogueArgs>(epilogue_args)...);
+  } else {
+    TORCH_CHECK(out.dtype() == torch::kFloat16);
+    return cutlass_gemm_sm90_int8_dispatch<int8_t, cutlass::half_t, Epilogue>(
+        out, a, b, std::forward<EpilogueArgs>(epilogue_args)...);
+  }
+}
+
 }  // namespace vllm
\ No newline at end of file

csrc/quantization/cutlass_w8a8/scaled_mm_c3x.cu

 #include <cudaTypedefs.h>
+#include "c3x/scaled_mm_kernels.hpp"
 
-#if defined CUDA_VERSION && CUDA_VERSION >= 12000
-
-  #include "scaled_mm_c3x_sm90_fp8_dispatch.cuh"
-  #include "scaled_mm_c3x_sm90_int8_dispatch.cuh"
-
-  #include "cutlass_extensions/epilogue/scaled_mm_epilogues_c3x.hpp"
-using namespace vllm;
+#include "core/math.hpp"
 
 /*
    This file defines quantized GEMM operations using the CUTLASS 3.x API, for
    NVIDIA GPUs with sm90a (Hopper) or later.
 */
 
-template <template <typename, typename, typename> typename Epilogue,
-          typename... EpilogueArgs>
-void cutlass_scaled_mm_sm90_epilogue(torch::Tensor& out, torch::Tensor const& a,
-                                     torch::Tensor const& b,
-                                     EpilogueArgs&&... epilogue_args) {
-  if (a.dtype() == torch::kInt8) {
-    TORCH_CHECK(b.dtype() == torch::kInt8);
-
-    if (out.dtype() == torch::kBFloat16) {
-      return cutlass_gemm_sm90_int8_dispatch<int8_t, cutlass::bfloat16_t,
-                                             Epilogue>(
-          out, a, b, std::forward<EpilogueArgs>(epilogue_args)...);
-    } else {
-      TORCH_CHECK(out.dtype() == torch::kFloat16);
-      return cutlass_gemm_sm90_int8_dispatch<int8_t, cutlass::half_t, Epilogue>(
-          out, a, b, std::forward<EpilogueArgs>(epilogue_args)...);
-    }
-  } else {
-    TORCH_CHECK(a.dtype() == torch::kFloat8_e4m3fn);
-    TORCH_CHECK(b.dtype() == torch::kFloat8_e4m3fn);
-
-    if (out.dtype() == torch::kBFloat16) {
-      return cutlass_gemm_sm90_fp8_dispatch<cutlass::float_e4m3_t,
-                                            cutlass::bfloat16_t, Epilogue>(
-          out, a, b, std::forward<EpilogueArgs>(epilogue_args)...);
-    } else {
-      TORCH_CHECK(out.dtype() == torch::kFloat16);
-      return cutlass_gemm_sm90_fp8_dispatch<cutlass::float_e4m3_t,
-                                            cutlass::half_t, Epilogue>(
-          out, a, b, std::forward<EpilogueArgs>(epilogue_args)...);
-    }
-  }
-}
-
 void cutlass_scaled_mm_sm90(torch::Tensor& c, torch::Tensor const& a,
                             torch::Tensor const& b,
                             torch::Tensor const& a_scales,
@@ -54,14 +15,50 @@ void cutlass_scaled_mm_sm90(torch::Tensor& c, torch::Tensor const& a,
                             std::optional<torch::Tensor> const& bias) {
   TORCH_CHECK(a_scales.dtype() == torch::kFloat32);
   TORCH_CHECK(b_scales.dtype() == torch::kFloat32);
-  if (bias) {
-    TORCH_CHECK(bias->dtype() == c.dtype(),
-                "currently bias dtype must match output dtype ", c.dtype());
-    return cutlass_scaled_mm_sm90_epilogue<c3x::ScaledEpilogueBias>(
-        c, a, b, a_scales, b_scales, *bias);
+
+  using GroupShape = std::array<int64_t, 2>;
+
+  int M = a.size(0), N = b.size(1), K = a.size(1);
+
+  GroupShape a_scale_group_shape = [&, &s = a_scales]() -> GroupShape {
+    if (s.numel() == 1) return {M, K};  // tensor-wise
+    if (s.dim() == 2)
+      return {ceil_div(a.size(0), s.size(0)), ceil_div(a.size(1), s.size(1))};
+    TORCH_CHECK(false, "Unsupported scale shape for scale_a");
+  }();
+
+  GroupShape b_scale_group_shape = [&, &s = b_scales]() -> GroupShape {
+    if (s.numel() == 1) return {K, N};  // tensor-wise
+    if (s.dim() == 2)
+      return {ceil_div(b.size(0), s.size(0)), ceil_div(b.size(1), s.size(1))};
+    TORCH_CHECK(false, "Unsupported scale shape for scale_b");
+  }();
+
+  if ((a_scale_group_shape == GroupShape{M, K} ||
+       a_scale_group_shape == GroupShape{1, K}) &&
+      (b_scale_group_shape == GroupShape{K, N} ||
+       b_scale_group_shape == GroupShape{K, 1})) {
+    // "standard per-tensor/per-token/per-channel" scaling
+    TORCH_CHECK(a_scales.is_contiguous() && b_scales.is_contiguous());
+    if (a.dtype() == torch::kFloat8_e4m3fn) {
+      vllm::cutlass_scaled_mm_sm90_fp8(c, a, b, a_scales, b_scales, bias);
+    } else {
+      TORCH_CHECK(a.dtype() == torch::kInt8);
+      vllm::cutlass_scaled_mm_sm90_int8(c, a, b, a_scales, b_scales, bias);
+    }
+  } else if (a_scale_group_shape == GroupShape{1, 128} &&
+             b_scale_group_shape == GroupShape{128, 128}) {
+    // 1x128 per-token group scales for activations
+    // 128x128 blockwise scales for weights
+    TORCH_CHECK(a.dtype() == torch::kFloat8_e4m3fn &&
+                    b.dtype() == torch::kFloat8_e4m3fn,
+                "Currently only FP8 is supported for A group shape 1x128 and "
+                "B group shape 128x128");
+    TORCH_CHECK(!bias, "Bias not yet supported blockwise scaled_mm");
+
+    vllm::cutlass_scaled_mm_blockwise_sm90_fp8(c, a, b, a_scales, b_scales);
   } else {
-    return cutlass_scaled_mm_sm90_epilogue<c3x::ScaledEpilogue>(
-        c, a, b, a_scales, b_scales);
+    TORCH_CHECK(false, "Unsupported scale group shapes for CUTLASS 3.x GEMM");
   }
 }
 
@@ -75,13 +72,6 @@ void cutlass_scaled_mm_azp_sm90(torch::Tensor& out, torch::Tensor const& a,
   TORCH_CHECK(a_scales.dtype() == torch::kFloat32);
   TORCH_CHECK(b_scales.dtype() == torch::kFloat32);
 
-  if (azp) {
-    return cutlass_scaled_mm_sm90_epilogue<c3x::ScaledEpilogueBiasAzpToken>(
-        out, a, b, a_scales, b_scales, azp_adj, *azp, bias);
-  } else {
-    return cutlass_scaled_mm_sm90_epilogue<c3x::ScaledEpilogueBiasAzp>(
-        out, a, b, a_scales, b_scales, azp_adj, bias);
-  }
+  vllm::cutlass_scaled_mm_azp_sm90_int8(out, a, b, a_scales, b_scales, azp_adj,
+                                        azp, bias);
 }
-
-#endif