Experimenting with a gemm based on the cuda steel utils

Co-authored-by: Chen-Chen Yeh <ge96noj@mytum.de>

docs/requirements.txt

@@ -1,4 +1,5 @@
 sphinx
 breathe
 sphinx-book-theme
+sphinx-copybutton
 mlx

docs/src/conf.py

@@ -18,6 +18,7 @@ release = version
 # -- General configuration ---------------------------------------------------
 
 extensions = [
+    "sphinx_copybutton",
     "sphinx.ext.autodoc",
     "sphinx.ext.autosummary",
     "sphinx.ext.intersphinx",

mlx/backend/cuda/CMakeLists.txt

@@ -24,6 +24,7 @@ target_sources(
           ${CMAKE_CURRENT_SOURCE_DIR}/fence.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/gemms/gemv.cu
           ${CMAKE_CURRENT_SOURCE_DIR}/gemms/cublas_gemm.cpp
+          ${CMAKE_CURRENT_SOURCE_DIR}/gemms/steel_gemm.cu
           ${CMAKE_CURRENT_SOURCE_DIR}/jit_module.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/indexing.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/kernel_utils.cu
@@ -53,10 +54,10 @@ target_sources(
 
 if(CMAKE_CUDA_COMPILER_VERSION VERSION_GREATER_EQUAL 12.9.0)
   target_sources(
-    mlx PRIVATE ${CMAKE_CURRENT_SOURCE_DIR}/gemms/cublas_batched_gemm_12_9.cu)
+    mlx PRIVATE ${CMAKE_CURRENT_SOURCE_DIR}/gemms/cublas_gemm_batched_12_9.cu)
 else()
   target_sources(
-    mlx PRIVATE ${CMAKE_CURRENT_SOURCE_DIR}/gemms/cublas_batched_gemm_12_0.cpp)
+    mlx PRIVATE ${CMAKE_CURRENT_SOURCE_DIR}/gemms/cublas_gemm_batched_12_0.cpp)
 endif()
 
 target_compile_definitions(mlx PRIVATE MLX_USE_CUDA)

mlx/backend/cuda/gemms/cublas_gemm.cpp

@@ -7,10 +7,12 @@
 
 #include <fmt/format.h>
 
-namespace mlx::core::cu {
+namespace mlx::core {
+
+namespace {
 
 struct CublasPreference {
-  CublasPreference(Device& device) {
+  CublasPreference(cu::Device& device) {
     // The recommended cublas workspace size is 4 MiB for pre-Hopper and 32 MiB
     // for Hopper+:
     // https://docs.nvidia.com/cuda/cublas/#cublassetworkspace
@@ -33,7 +35,7 @@ struct CublasPreference {
   cublasLtMatmulPreference_t pref_{nullptr};
 };
 
-cublasLtMatmulPreference_t cublas_preference(Device& device) {
+cublasLtMatmulPreference_t cublas_preference(cu::Device& device) {
   static CublasPreference pref(device);
   return pref.pref_;
 }
@@ -52,7 +54,7 @@ cublasComputeType_t dtype_to_compute_type(Dtype dtype) {
       return CUBLAS_COMPUTE_64F;
     default:
       throw std::runtime_error(fmt::format(
-          "Unsupported dtype in Matmul: {}.", dtype_to_string(dtype)));
+          "Unsupported dtype in CublasGemm: {}.", dtype_to_string(dtype)));
   }
 }
 
@@ -70,7 +72,7 @@ cudaDataType_t dtype_to_cublas_type(Dtype dtype) {
       return CUDA_C_32F;
     default:
       throw std::runtime_error(fmt::format(
-          "Unsupported dtype in Matmul: {}.", dtype_to_string(dtype)));
+          "Unsupported dtype in CublasGemm: {}.", dtype_to_string(dtype)));
   }
 }
 
@@ -102,8 +104,10 @@ cublasLtMatrixLayout_t create_matrix_layout(
   return desc;
 }
 
-Matmul::Matmul(
-    Device& device,
+} // namespace
+
+CublasGemm::CublasGemm(
+    cu::Device& device,
     Dtype dtype,
     bool a_transposed,
     uint64_t a_rows,
@@ -155,8 +159,8 @@ Matmul::Matmul(
       type, a_rows, b_cols, false, b_cols, batch_count, a_rows * b_cols);
 }
 
-Matmul::Matmul(
-    Device& device,
+CublasGemm::CublasGemm(
+    cu::Device& device,
     Dtype dtype,
     bool a_transposed,
     uint64_t a_rows,
@@ -171,7 +175,7 @@ Matmul::Matmul(
     int64_t a_batch_stride,
     int64_t b_batch_stride,
     int64_t c_batch_stride)
-    : Matmul(
+    : CublasGemm(
           device,
           dtype,
           a_transposed,
@@ -190,7 +194,7 @@ Matmul::Matmul(
       type, a_rows, b_cols, false, ldc, batch_count, c_batch_stride);
 }
 
-Matmul::~Matmul() {
+CublasGemm::~CublasGemm() {
   CHECK_CUBLAS_ERROR(cublasLtMatrixLayoutDestroy(a_desc_));
   CHECK_CUBLAS_ERROR(cublasLtMatrixLayoutDestroy(b_desc_));
   CHECK_CUBLAS_ERROR(cublasLtMatrixLayoutDestroy(c_desc_));
@@ -198,7 +202,73 @@ Matmul::~Matmul() {
   CHECK_CUBLAS_ERROR(cublasLtMatmulDescDestroy(matmul_desc_));
 }
 
-void Matmul::run_impl(
+void CublasGemm::run(
+    cu::CommandEncoder& encoder,
+    array& out,
+    const array& a,
+    const array& b,
+    const Shape& batch_shape,
+    const Strides& a_batch_strides,
+    const Strides& b_batch_strides) {
+  int batch_count = out.size() / (M_ * N_);
+  if (batch_count / batch_shape.back() > 1) {
+    run_batched(
+        encoder, out, a, b, batch_shape, a_batch_strides, b_batch_strides);
+    return;
+  }
+
+  encoder.set_input_array(a);
+  encoder.set_input_array(b);
+  encoder.set_output_array(out);
+
+  execute(encoder, out.data<void>(), a.data<void>(), b.data<void>(), nullptr);
+}
+
+void CublasGemm::run(
+    cu::CommandEncoder& encoder,
+    array& out,
+    const array& a,
+    const array& b,
+    const array& c,
+    const Shape& batch_shape,
+    const Strides& a_batch_strides,
+    const Strides& b_batch_strides,
+    const Strides& c_batch_strides,
+    float alpha,
+    float beta) {
+  int batch_count = out.size() / (M_ * N_);
+  if (batch_count / batch_shape.back() > 1) {
+    run_batched(
+        encoder,
+        out,
+        a,
+        b,
+        c,
+        batch_shape,
+        a_batch_strides,
+        b_batch_strides,
+        c_batch_strides,
+        alpha,
+        beta);
+    return;
+  }
+
+  encoder.set_input_array(a);
+  encoder.set_input_array(b);
+  encoder.set_input_array(c);
+  encoder.set_output_array(out);
+
+  execute(
+      encoder,
+      out.data<void>(),
+      a.data<void>(),
+      b.data<void>(),
+      c.data<void>(),
+      alpha,
+      beta);
+}
+
+void CublasGemm::execute(
     cu::CommandEncoder& encoder,
     void* out,
     const void* a,
@@ -256,29 +326,4 @@ void Matmul::run_impl(
       encoder.stream()));
 }
 
-void Matmul::run(
-    cu::CommandEncoder& encoder,
-    array& out,
-    const array& a,
-    const array& b,
-    const std::optional<array>& c /* = std::nullopt */,
-    float alpha /* = 1 */,
-    float beta /* = 0 */) {
-  encoder.set_input_array(a);
-  encoder.set_input_array(b);
-  if (c) {
-    encoder.set_input_array(*c);
-  }
-  encoder.set_output_array(out);
-
-  run_impl(
-      encoder,
-      out.data<void>(),
-      a.data<void>(),
-      b.data<void>(),
-      c ? c->data<void>() : nullptr,
-      alpha,
-      beta);
-}
-
-} // namespace mlx::core::cu
+} // namespace mlx::core

mlx/backend/cuda/gemms/cublas_gemm.h

@@ -5,13 +5,13 @@
 #include "mlx/backend/cuda/device.h"
 
 #include <cublasLt.h>
-#include <optional>
 
-namespace mlx::core::cu {
-class Matmul {
+namespace mlx::core {
+
+class CublasGemm {
  public:
-  Matmul(
-      Device& device,
+  CublasGemm(
+      cu::Device& device,
       Dtype dtype,
       bool a_transposed,
       uint64_t a_rows,
@@ -25,8 +25,8 @@ class Matmul {
       int64_t a_batch_stride,
       int64_t b_batch_stride);
 
-  Matmul(
-      Device& device,
+  CublasGemm(
+      cu::Device& device,
       Dtype dtype,
       bool a_transposed,
       uint64_t a_rows,
@@ -42,25 +42,39 @@ class Matmul {
       int64_t b_batch_stride,
       int64_t c_batch_stride);
 
-  ~Matmul();
+  ~CublasGemm();
 
   void run(
       cu::CommandEncoder& encoder,
       array& out,
       const array& a,
       const array& b,
-      const std::optional<array>& c = std::nullopt,
-      float alpha = 1,
-      float beta = 0);
+      const Shape& batch_shape,
+      const Strides& a_batch_strides,
+      const Strides& b_batch_strides);
 
+  void run(
+      cu::CommandEncoder& encoder,
+      array& out,
+      const array& a,
+      const array& b,
+      const array& c,
+      const Shape& batch_shape,
+      const Strides& a_batch_strides,
+      const Strides& b_batch_strides,
+      const Strides& c_batch_strides,
+      float alpha,
+      float beta);
+
+ private:
   void run_batched(
       cu::CommandEncoder& encoder,
       array& out,
       const array& a,
       const array& b,
-      const mlx::core::Shape& batch_shape,
-      const mlx::core::Strides& a_batch_strides,
-      const mlx::core::Strides& b_batch_strides);
+      const Shape& batch_shape,
+      const Strides& a_batch_strides,
+      const Strides& b_batch_strides);
 
   void run_batched(
       cu::CommandEncoder& encoder,
@@ -68,15 +82,14 @@ class Matmul {
       const array& a,
       const array& b,
       const array& c,
-      const mlx::core::Shape& batch_shape,
-      const mlx::core::Strides& a_batch_strides,
-      const mlx::core::Strides& b_batch_strides,
-      const mlx::core::Strides& c_batch_strides,
+      const Shape& batch_shape,
+      const Strides& a_batch_strides,
+      const Strides& b_batch_strides,
+      const Strides& c_batch_strides,
       float alpha,
       float beta);
 
- private:
-  void run_impl(
+  void execute(
       cu::CommandEncoder& encoder,
       void* out,
       const void* a,
@@ -97,4 +110,4 @@ class Matmul {
   cublasLtMatmulHeuristicResult_t heuristic_;
 };
 
-} // namespace mlx::core::cu
+} // namespace mlx::core

mlx/backend/cuda/gemms/cublas_gemm_batched_12_0.cpp

@@ -4,16 +4,16 @@
 #include "mlx/backend/cuda/device.h"
 #include "mlx/backend/cuda/gemms/cublas_gemm.h"
 
-namespace mlx::core::cu {
+namespace mlx::core {
 
-void Matmul::run_batched(
+void CublasGemm::run_batched(
     cu::CommandEncoder& encoder,
     array& out,
     const array& a,
     const array& b,
-    const mlx::core::Shape& batch_shape,
-    const mlx::core::Strides& a_batch_strides,
-    const mlx::core::Strides& b_batch_strides) {
+    const Shape& batch_shape,
+    const Strides& a_batch_strides,
+    const Strides& b_batch_strides) {
   encoder.set_input_array(a);
   encoder.set_input_array(b);
   encoder.set_output_array(out);
@@ -22,7 +22,7 @@ void Matmul::run_batched(
   ContiguousIterator b_it(batch_shape, b_batch_strides, batch_shape.size() - 1);
   auto concurrent = encoder.concurrent_context();
   for (size_t i = 0; i < nbatch; ++i) {
-    run_impl(
+    execute(
         encoder,
         out.data<int8_t>() + out.itemsize() * i * batch_shape.back() * M_ * N_,
         a.data<int8_t>() + a.itemsize() * a_it.loc,
@@ -33,16 +33,16 @@ void Matmul::run_batched(
   }
 }
 
-void Matmul::run_batched(
+void CublasGemm::run_batched(
     cu::CommandEncoder& encoder,
     array& out,
     const array& a,
     const array& b,
     const array& c,
-    const mlx::core::Shape& batch_shape,
-    const mlx::core::Strides& a_batch_strides,
-    const mlx::core::Strides& b_batch_strides,
-    const mlx::core::Strides& c_batch_strides,
+    const Shape& batch_shape,
+    const Strides& a_batch_strides,
+    const Strides& b_batch_strides,
+    const Strides& c_batch_strides,
     float alpha,
     float beta) {
   encoder.set_input_array(a);
@@ -56,7 +56,7 @@ void Matmul::run_batched(
   ContiguousIterator c_it(batch_shape, c_batch_strides, batch_shape.size() - 1);
   auto concurrent = encoder.concurrent_context();
   for (size_t i = 0; i < nbatch; ++i) {
-    run_impl(
+    execute(
         encoder,
         out.data<int8_t>() + out.itemsize() * i * batch_shape.back() * M_ * N_,
         a.data<int8_t>() + a.itemsize() * a_it.loc,
@@ -70,4 +70,4 @@ void Matmul::run_batched(
   }
 }
 
-} // namespace mlx::core::cu
+} // namespace mlx::core

mlx/backend/cuda/gemms/cublas_gemm_batched_12_9.cu

@@ -6,7 +6,9 @@
 
 #include <cooperative_groups.h>
 
-namespace mlx::core::cu {
+namespace mlx::core {
+
+namespace cu {
 
 namespace cg = cooperative_groups;
 
@@ -128,6 +130,10 @@ __global__ void set_addmm_device_pointers_g(
       out_start + item_size * index * batch_stride;
 }
 
+} // namespace cu
+
+namespace {
+
 void set_pointer_mode(cublasLtMatrixLayout_t desc, int batch_count) {
   auto batch_mode = CUBLASLT_BATCH_MODE_POINTER_ARRAY;
   CHECK_CUBLAS_ERROR(cublasLtMatrixLayoutSetAttribute(
@@ -139,14 +145,16 @@ void set_pointer_mode(cublasLtMatrixLayout_t desc, int batch_count) {
       desc, CUBLASLT_MATRIX_LAYOUT_BATCH_COUNT, &batch_count, sizeof(int32_t)));
 }
 
-void Matmul::run_batched(
+} // namespace
+
+void CublasGemm::run_batched(
     cu::CommandEncoder& encoder,
     array& out,
     const array& a,
     const array& b,
-    const mlx::core::Shape& batch_shape,
-    const mlx::core::Strides& a_batch_strides,
-    const mlx::core::Strides& b_batch_strides) {
+    const Shape& batch_shape,
+    const Strides& a_batch_strides,
+    const Strides& b_batch_strides) {
   int batch_count = out.size() / (M_ * N_);
   set_pointer_mode(a_desc_, batch_count);
   set_pointer_mode(b_desc_, batch_count);
@@ -213,7 +221,7 @@ void Matmul::run_batched(
   auto a_pointers = pointers.data<int8_t*>();
   auto b_pointers = a_pointers + batch_count;
   auto out_pointers = b_pointers + batch_count;
-  run_impl(
+  execute(
       encoder,
       reinterpret_cast<void*>(out_pointers),
       reinterpret_cast<void*>(a_pointers),
@@ -221,16 +229,16 @@ void Matmul::run_batched(
       nullptr);
 }
 
-void Matmul::run_batched(
+void CublasGemm::run_batched(
     cu::CommandEncoder& encoder,
     array& out,
     const array& a,
     const array& b,
     const array& c,
-    const mlx::core::Shape& batch_shape,
-    const mlx::core::Strides& a_batch_strides,
-    const mlx::core::Strides& b_batch_strides,
-    const mlx::core::Strides& c_batch_strides,
+    const Shape& batch_shape,
+    const Strides& a_batch_strides,
+    const Strides& b_batch_strides,
+    const Strides& c_batch_strides,
     float alpha,
     float beta) {
   int batch_count = out.size() / (M_ * N_);
@@ -306,7 +314,7 @@ void Matmul::run_batched(
   auto b_pointers = a_pointers + batch_count;
   auto c_pointers = b_pointers + batch_count;
   auto out_pointers = c_pointers + batch_count;
-  run_impl(
+  execute(
       encoder,
       reinterpret_cast<void*>(out_pointers),
       reinterpret_cast<void*>(a_pointers),
@@ -316,4 +324,4 @@ void Matmul::run_batched(
       beta);
 }
 
-} // namespace mlx::core::cu
+} // namespace mlx::core

mlx/backend/cuda/gemms/steel_gemm.cu

@@ -0,0 +1,301 @@
+#include "mlx/backend/common/matmul.h"
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/device/utils.cuh"
+#include "mlx/backend/cuda/gemms/steel_gemm.h"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/primitives.h"
+
+#include <nvtx3/nvtx3.hpp>
+#include <numeric>
+
+#include <cooperative_groups.h>
+
+#include "mlx/backend/cuda/steel/gemm.cuh"
+#include "mlx/backend/cuda/steel/mma.cuh"
+#include "mlx/backend/cuda/steel/tiles.cuh"
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+struct GemmParams {
+  int M;
+  int N;
+  int K;
+  int lda;
+  int ldb;
+  int ldd;
+
+  int NblockM;
+  int NblockN;
+  int NblockK;
+};
+
+template <
+    typename T,
+    int BM,
+    int BN,
+    int BK,
+    int WM,
+    int WN,
+    bool transpose_a,
+    bool transpose_b,
+    int SL,
+    int Nstages>
+__global__ void kernel_steel_gemm(
+    const T* a,
+    const T* b,
+    T* d,
+    __grid_constant__ const GemmParams params) {
+  const int bM_idx = (blockIdx.y << SL) + (blockIdx.x & ((1 << SL) - 1));
+  const int bN_idx = blockIdx.x >> SL;
+
+  if (params.NblockN <= bN_idx || params.NblockM <= bM_idx) {
+    return;
+  }
+
+  const int d_row = bM_idx * BM;
+  const int d_col = bN_idx * BN;
+  const size_t d_row_long = size_t(d_row);
+  const size_t d_col_long = size_t(d_col);
+
+  a += transpose_a ? d_row_long : d_row_long * params.K;
+  b += transpose_b ? d_col_long * params.K : d_col_long;
+  d += d_row_long * params.ldd + d_col_long;
+
+  auto block = cg::this_thread_block();
+  auto warp = cg::tiled_partition<32>(block);
+
+  const int lane_idx = warp.thread_rank();
+  const int warp_idx = warp.meta_group_rank();
+
+  const int wm = warp_idx / WN;
+  const int wn = warp_idx % WN;
+
+  constexpr int SM = BM / WM;
+  constexpr int SN = BN / WN;
+  constexpr int SK = BK;
+  constexpr int TK = SK / 16;
+
+  constexpr int NUM_WARPS = WM * WN;
+
+  // Allocate shared memory
+  extern __shared__ char shmem[];
+  SharedTile<T, BM, BK>(&as)[Nstages] =
+      *(SharedTile<T, BM, BK>(*)[Nstages])(&shmem[0]);
+  SharedTile<T, BN, BK>(&bs)[Nstages] = *(SharedTile<T, BN, BK>(*)[Nstages])(
+      &shmem[sizeof(T) * Nstages * BM * BK]);
+
+  // Allocate registers for the MMA
+  RegisterTile<float, SM, SN> C;
+  RegisterTile<T, SM, 16> A[TK];
+  RegisterTile<T, SN, 16> B[TK];
+
+  // Zero the accumulators
+  C.fill(0);
+
+  // Start gmem -> smem copies
+  int k_block_read = 0;
+
+  MLX_UNROLL
+  for (int bk = 0; bk < (Nstages - 1); bk++) {
+    load_async<NUM_WARPS>(
+        as[bk], as[bk].base_addr(), a + k_block_read, params.K);
+    load_async<NUM_WARPS>(
+        bs[bk], bs[bk].base_addr(), b + k_block_read, params.K);
+    k_block_read += BK;
+    cp_async_commit();
+  }
+
+  int smem_pipe_read = 0;
+  int smem_pipe_write = Nstages - 1;
+
+  // Wait till only 1 remains laoding
+  cp_async_wait<1>();
+  block.sync();
+
+  const int offset_m = wm * SM;
+  const int offset_n = wn * SN;
+
+  // Start smem -> register copy
+  A[0].load(
+      as[smem_pipe_read],
+      as[smem_pipe_read].base_addr(),
+      offset_m + lane_idx % 16,
+      lane_idx / 16 * 8);
+  B[0].load(
+      bs[smem_pipe_read],
+      bs[smem_pipe_read].base_addr(),
+      offset_n + lane_idx % 16,
+      lane_idx / 16 * 8);
+
+  // Main loop
+  for (int kb = 0; kb < params.NblockK; kb++) {
+    // Prepare next registers
+    {
+      A[1].load(
+          as[smem_pipe_read],
+          as[smem_pipe_read].base_addr(),
+          offset_m + lane_idx % 16,
+          16 + lane_idx / 16 * 8);
+      B[1].load(
+          bs[smem_pipe_read],
+          bs[smem_pipe_read].base_addr(),
+          offset_n + lane_idx % 16,
+          16 + lane_idx / 16 * 8);
+    }
+
+    // Prepare next smem
+    if ((kb + Nstages - 1) < params.NblockK) {
+      load_async<NUM_WARPS>(
+          as[smem_pipe_write],
+          as[smem_pipe_write].base_addr(),
+          a + k_block_read,
+          params.K);
+      load_async<NUM_WARPS>(
+          bs[smem_pipe_write],
+          bs[smem_pipe_write].base_addr(),
+          b + k_block_read,
+          params.K);
+    }
+    k_block_read += BK;
+
+    cp_async_commit();
+
+    smem_pipe_write = smem_pipe_read;
+    smem_pipe_read = smem_pipe_read + 1;
+    smem_pipe_read = (smem_pipe_read == Nstages) ? 0 : smem_pipe_read;
+
+    // Do current gemm
+    mma_t(C, A[0], B[0]);
+
+    // Do wait for next register
+    cp_async_wait<1>();
+    block.sync();
+
+    // Prepare next register (smem_pipe_read has moved to the next)
+    {
+      A[0].load(
+          as[smem_pipe_read],
+          as[smem_pipe_read].base_addr(),
+          offset_m + lane_idx % 16,
+          lane_idx / 16 * 8);
+      B[0].load(
+          bs[smem_pipe_read],
+          bs[smem_pipe_read].base_addr(),
+          offset_n + lane_idx % 16,
+          lane_idx / 16 * 8);
+    }
+
+    // Do current gemm
+    mma_t(C, A[1], B[1]);
+  }
+
+  // Wait and clear
+  cp_async_wait_all();
+  block.sync();
+
+  C.store_global(d, params.ldd, offset_m, offset_n);
+}
+
+} // namespace cu
+
+void dispatch_steel_gemm(
+    const Stream& s,
+    cu::CommandEncoder& encoder,
+    const array& a,
+    const array& b,
+    array& d,
+    int M,
+    int N,
+    int K,
+    int lda,
+    int ldb,
+    int ldd,
+    bool a_transposed,
+    bool b_transposed) {
+  using DataType = cuda_type_t<float16_t>;
+
+  encoder.set_input_array(a);
+  encoder.set_input_array(b);
+  encoder.set_output_array(d);
+
+  constexpr int BM = 128;
+  constexpr int BN = 128;
+  constexpr int BK = 32;
+
+  constexpr int WM = 2;
+  constexpr int WN = 2;
+
+  constexpr int SL = 0;
+  constexpr int Nstages = 3;
+
+  constexpr uint32_t smem_bytes = BK * (BM + BN) * Nstages * sizeof(DataType);
+
+  const int NblockM = (M + BM - 1) / BM;
+  const int NblockN = (N + BN - 1) / BN;
+  const int NblockK = (K + BK - 1) / BK;
+
+  cu::GemmParams params{
+      /* int M = */ M,
+      /* int N = */ N,
+      /* int K = */ K,
+      /* int lda = */ lda,
+      /* int ldb = */ ldb,
+      /* int ldd = */ ldd,
+
+      /* int NblockM = */ NblockM,
+      /* int NblockN = */ NblockN,
+      /* int NblockK = */ NblockK,
+  };
+
+  // Prepare launch grid params
+  int tile = 1 << SL;
+  int tm = (NblockM + tile - 1) / tile;
+  int tn = NblockN * tile;
+
+  dim3 grid_dim(tn, tm, 1);
+  dim3 block_dim(32 * WM * WN, 1, 1);
+
+  dispatch_bool(a_transposed, [&](auto ta_) {
+    dispatch_bool(b_transposed, [&](auto tb_) {
+      constexpr bool ta = ta_.value;
+      constexpr bool tb = tb_.value;
+
+      auto kernel = cu::ab_t_aligned<DataType, BM, BN, BK>;
+      cudaFuncSetAttribute(
+          kernel, cudaFuncAttributeMaxDynamicSharedMemorySize, smem_bytes);
+
+      encoder.add_kernel_node(
+          kernel,
+          grid_dim,
+          block_dim,
+          smem_bytes,
+          a.data<DataType>(),
+          b.data<DataType>(),
+          d.data<DataType>(),
+          N,
+          K);
+
+      //   auto kernel = cu::kernel_steel_gemm<DataType, BM, BN, BK, WM, WN, ta,
+      //   tb, SL, Nstages>;
+
+      //   cudaFuncSetAttribute(kernel,
+      //   cudaFuncAttributeMaxDynamicSharedMemorySize, smem_bytes);
+
+      //   encoder.add_kernel_node(
+      //       kernel,
+      //       grid_dim,
+      //       block_dim,
+      //       smem_bytes,
+      //       a.data<DataType>(),
+      //       b.data<DataType>(),
+      //       d.data<DataType>(),
+      //       params);
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/gemms/steel_gemm.h

@@ -0,0 +1,27 @@
+#pragma once
+
+#include "mlx/backend/common/matmul.h"
+#include "mlx/backend/cuda/device.h"
+#include "mlx/primitives.h"
+
+#include <nvtx3/nvtx3.hpp>
+#include <numeric>
+
+namespace mlx::core {
+
+void dispatch_steel_gemm(
+    const Stream& s,
+    cu::CommandEncoder& encoder,
+    const array& a,
+    const array& b,
+    array& d,
+    int M,
+    int N,
+    int K,
+    int lda,
+    int ldb,
+    int ldd,
+    bool a_transposed,
+    bool b_transposed);
+
+} // namespace mlx::core

mlx/backend/cuda/matmul.cpp

@@ -7,6 +7,8 @@
 #include "mlx/backend/gpu/copy.h"
 #include "mlx/primitives.h"
 
+#include "mlx/backend/cuda/gemms/steel_gemm.h"
+
 #include <nvtx3/nvtx3.hpp>
 #include <numeric>
 
@@ -95,9 +97,27 @@ void Matmul::eval_gpu(const std::vector<array>& inputs, array& out) {
     return;
   }
 
+  if (out.dtype() == float16 && batch_count == 1 && !a_transposed &&
+      b_transposed) {
+    return dispatch_steel_gemm(
+        /* const Stream& s = */ s,
+        /* cu::CommandEncoder& encoder = */ encoder,
+        /* const array& a = */ a,
+        /* const array& b = */ b,
+        /* array& d = */ out,
+        /* int M = */ M,
+        /* int N = */ N,
+        /* int K = */ K,
+        /* int lda = */ lda,
+        /* int ldb = */ ldb,
+        /* int ldd = */ N,
+        /* bool a_transposed = */ a_transposed,
+        /* bool b_transposed = */ b_transposed);
+  }
+
   /////////////////////////////////////////////////////////////////////////////
   // Invoke cublasLt
-  cu::Matmul matmul(
+  CublasGemm gemm(
       cu::device(s.device),
       a.dtype(),
       a_transposed,
@@ -111,14 +131,7 @@ void Matmul::eval_gpu(const std::vector<array>& inputs, array& out) {
       batch_shape.back(),
       a_batch_strides.back(),
       b_batch_strides.back());
-
-  if ((batch_count / batch_shape.back()) == 1) {
-    matmul.run(encoder, out, a, b);
-    return;
-  }
-
-  matmul.run_batched(
-      encoder, out, a, b, batch_shape, a_batch_strides, b_batch_strides);
+  gemm.run(encoder, out, a, b, batch_shape, a_batch_strides, b_batch_strides);
 }
 
 void AddMM::eval_gpu(const std::vector<array>& inputs, array& out) {
@@ -186,7 +199,7 @@ void AddMM::eval_gpu(const std::vector<array>& inputs, array& out) {
   /////////////////////////////////////////////////////////////////////////////
   // Invoke cublasLt
 
-  cu::Matmul matmul(
+  CublasGemm gemm(
       cu::device(s.device),
       a.dtype(),
       a_transposed,
@@ -202,12 +215,7 @@ void AddMM::eval_gpu(const std::vector<array>& inputs, array& out) {
       a_batch_strides.back(),
       b_batch_strides.back(),
       c_batch_strides.back());
-
-  if ((batch_count / batch_shape.back()) == 1) {
-    matmul.run(encoder, out, a, b, c, alpha_, beta_);
-    return;
-  }
-  matmul.run_batched(
+  gemm.run(
       encoder,
       out,
       a,

mlx/backend/cuda/steel/tiles.cuh

@@ -143,85 +143,87 @@ struct Tile16x16 {
   }
 };
 
-/**
- * A simple container of multiple Tile16x16.
- *
- * Provides utility functions for loading and manipulating collections of basic
- * tiles.
- */
-template <typename T, int ROWS_, int COLS_>
-struct RegisterTile {
-  static constexpr int ROWS = ROWS_;
-  static constexpr int COLS = COLS_;
-  static constexpr int TILES_X = COLS / 16;
-  static constexpr int TILES_Y = ROWS / 16;
+// /**
+//  * A simple container of multiple Tile16x16.
+//  *
+//  * Provides utility functions for loading and manipulating collections of
+//  basic
+//  * tiles.
+//  */
+// template <typename T, int ROWS_, int COLS_>
+// struct RegisterTile {
+//   static constexpr int ROWS = ROWS_;
+//   static constexpr int COLS = COLS_;
+//   static constexpr int TILES_X = COLS / 16;
+//   static constexpr int TILES_Y = ROWS / 16;
 
-  Tile16x16<T> data[TILES_X * TILES_Y];
+//   Tile16x16<T> data[TILES_X * TILES_Y];
 
-  __device__ inline void fill(T v) {
-    MLX_UNROLL
-    for (int i = 0; i < TILES_Y; i++) {
-      MLX_UNROLL
-      for (int j = 0; j < TILES_X; j++) {
-        data[i * TILES_X + j].fill(v);
-      }
-    }
-  }
+//   __device__ inline void fill(T v) {
+//     MLX_UNROLL
+//     for (int i = 0; i < TILES_Y; i++) {
+//       MLX_UNROLL
+//       for (int j = 0; j < TILES_X; j++) {
+//         data[i * TILES_X + j].fill(v);
+//       }
+//     }
+//   }
 
-  template <typename Tile>
-  __device__ __forceinline__ void
-  load(Tile& tile, uint32_t base_address, int row, int col) {
-    MLX_UNROLL
-    for (int i = 0; i < TILES_Y; i++) {
-      MLX_UNROLL
-      for (int j = 0; j < TILES_X; j++) {
-        data[i * TILES_X + j].load(
-            tile.loc(base_address, row + i * 16, col + j * 16));
-      }
-    }
-  }
+//   template <typename Tile>
+//   __device__ __forceinline__ void
+//   load(Tile& tile, uint32_t base_address, int row, int col) {
+//     MLX_UNROLL
+//     for (int i = 0; i < TILES_Y; i++) {
+//       MLX_UNROLL
+//       for (int j = 0; j < TILES_X; j++) {
+//         data[i * TILES_X + j].load(
+//             tile.loc(base_address, row + i * 16, col + j * 16));
+//       }
+//     }
+//   }
 
-  template <typename Tile, typename F>
-  __device__ __forceinline__ void
-  load(Tile& tile, F f, uint32_t base_address, int row, int col) {
-    MLX_UNROLL
-    for (int i = 0; i < TILES_Y; i++) {
-      MLX_UNROLL
-      for (int j = 0; j < TILES_X; j++) {
-        f(data[i * TILES_X + j],
-          tile,
-          base_address,
-          row + i * 16,
-          col + j * 16);
-      }
-    }
-  }
+//   template <typename Tile, typename F>
+//   __device__ __forceinline__ void
+//   load(Tile& tile, F f, uint32_t base_address, int row, int col) {
+//     MLX_UNROLL
+//     for (int i = 0; i < TILES_Y; i++) {
+//       MLX_UNROLL
+//       for (int j = 0; j < TILES_X; j++) {
+//         f(data[i * TILES_X + j],
+//           tile,
+//           base_address,
+//           row + i * 16,
+//           col + j * 16);
+//       }
+//     }
+//   }
 
-  template <typename U>
-  __device__ inline void store_global(U* x, int N, int row, int col) {
-    MLX_UNROLL
-    for (int i = 0; i < TILES_Y; i++) {
-      MLX_UNROLL
-      for (int j = 0; j < TILES_X; j++) {
-        data[i * TILES_X + j].store_global(
-            x + (row + i * 16) * N + col + j * 16, N);
-      }
-    }
-  }
+//   template <typename U>
+//   __device__ inline void store_global(U* x, int N, int row, int col) {
+//     MLX_UNROLL
+//     for (int i = 0; i < TILES_Y; i++) {
+//       MLX_UNROLL
+//       for (int j = 0; j < TILES_X; j++) {
+//         data[i * TILES_X + j].store_global(
+//             x + (row + i * 16) * N + col + j * 16, N);
+//       }
+//     }
+//   }
 
-  template <typename U>
-  __device__ inline void
-  store_global_safe(U* x, int N, int row, int col, int max_rows) {
-    MLX_UNROLL
-    for (int i = 0; i < TILES_Y; i++) {
-      MLX_UNROLL
-      for (int j = 0; j < TILES_X; j++) {
-        data[i * TILES_X + j].store_global_safe(
-            x + (row + i * 16) * N + col + j * 16, N, max_rows - row - i * 16);
-      }
-    }
-  }
-};
+//   template <typename U>
+//   __device__ inline void
+//   store_global_safe(U* x, int N, int row, int col, int max_rows) {
+//     MLX_UNROLL
+//     for (int i = 0; i < TILES_Y; i++) {
+//       MLX_UNROLL
+//       for (int j = 0; j < TILES_X; j++) {
+//         data[i * TILES_X + j].store_global_safe(
+//             x + (row + i * 16) * N + col + j * 16, N, max_rows - row - i *
+//             16);
+//       }
+//     }
+//   }
+// };
 
 /**
  * A simple container of multiple Tile16x16.