Fix update_modules() when providing a subset (#2308)

* perf tuning

* fix adding inputs arrays in matmul / srot

* format

* fix

.circleci/config.yml

@@ -16,6 +16,9 @@ parameters:
   linux_release:
     type: boolean
     default: false
+  cuda_release:
+    type: boolean
+    default: false
 
 jobs:
   build_documentation:
@@ -104,7 +107,7 @@ jobs:
           command: |
             echo "stubs"
             pip install typing_extensions
-            python setup.py generate_stubs 
+            python setup.py generate_stubs
       - run:
           name: Run Python tests
           command: |
@@ -162,7 +165,7 @@ jobs:
           command: |
             source env/bin/activate
             pip install typing_extensions
-            python setup.py generate_stubs 
+            python setup.py generate_stubs
       - run:
           name: Run Python tests
           command: |
@@ -212,6 +215,29 @@ jobs:
               METAL_DEBUG_ERROR_MODE=0 \
               python -m xmlrunner discover -v python/tests -o test-results/gpu_jit
 
+  cuda_build_and_test:
+    machine:
+      image: linux-cuda-12:default
+      resource_class: gpu.nvidia.small.gen2
+    steps:
+      - checkout
+      - run:
+          name: Install Python package
+          command: |
+            sudo apt-get update
+            sudo apt-get install libblas-dev liblapack-dev liblapacke-dev
+            python -m venv env
+            source env/bin/activate
+            CMAKE_BUILD_PARALLEL_LEVEL=`nproc` \
+              CMAKE_ARGS="-DMLX_BUILD_CUDA=ON -DCMAKE_CUDA_COMPILER=`which nvcc`" \
+              pip install -e ".[dev]"
+      - run:
+          name: Run Python tests
+          command: |
+            source env/bin/activate
+            LOW_MEMORY=1 DEVICE=cpu python -m unittest discover python/tests -v
+            LOW_MEMORY=1 DEVICE=gpu python -m tests discover python/tests -v
+
   build_release:
     parameters:
       python_version:
@@ -259,7 +285,7 @@ jobs:
           command: |
             source env/bin/activate
             pip install typing_extensions
-            python setup.py generate_stubs 
+            python setup.py generate_stubs
       - run:
           name: Build Python package
           command: |
@@ -318,7 +344,7 @@ jobs:
               CMAKE_BUILD_PARALLEL_LEVEL=`nproc` \
               pip install . -v
             pip install typing_extensions
-            python setup.py generate_stubs 
+            python setup.py generate_stubs
             << parameters.extra_env >> \
               CMAKE_BUILD_PARALLEL_LEVEL=`nproc` \
               python -m build --wheel
@@ -332,6 +358,48 @@ jobs:
       - store_artifacts:
           path: wheelhouse/
 
+  build_cuda_release:
+    parameters:
+      python_version:
+        type: string
+        default: "3.9"
+      extra_env:
+        type: string
+        default: "DEV_RELEASE=1"
+    machine:
+      image: linux-cuda-12:default
+      resource_class: gpu.nvidia.small.gen2
+    steps:
+      - checkout
+      - run:
+          name: Build wheel
+          command: |
+            sudo apt-get update
+            sudo apt-get install libblas-dev liblapack-dev liblapacke-dev
+            python -m venv env
+            source env/bin/activate
+            pip install auditwheel
+            pip install patchelf
+            pip install build
+            pip install twine
+            << parameters.extra_env >> \
+              CMAKE_BUILD_PARALLEL_LEVEL=`nproc` \
+              CMAKE_ARGS="-DMLX_BUILD_CUDA=ON -DCMAKE_CUDA_COMPILER=`which nvcc`" \
+              pip install ".[dev]" -v
+            python setup.py generate_stubs
+            << parameters.extra_env >> \
+              CMAKE_BUILD_PARALLEL_LEVEL=`nproc` \
+              CMAKE_ARGS="-DMLX_BUILD_CUDA=ON -DCMAKE_CUDA_COMPILER=`which nvcc`" \
+              python -m build --wheel
+            bash python/scripts/repair_cuda.sh
+      - run:
+          name: Upload package
+          command: |
+            source env/bin/activate
+            twine upload wheelhouse/*.whl
+      - store_artifacts:
+          path: wheelhouse/
+
 workflows:
   build_and_test:
     when:
@@ -348,6 +416,7 @@ workflows:
             parameters:
               macosx_deployment_target: ["13.5", "14.0"]
       - linux_build_and_test
+      - cuda_build_and_test 
       - build_documentation 
 
   build_pypi_release:
@@ -455,6 +524,8 @@ workflows:
               macosx_deployment_target: ["13.5", "14.0"]
       - linux_build_and_test:
           requires: [ hold ]
+      - cuda_build_and_test:
+          requires: [ hold ]
   nightly_build:
     when:
       and:
@@ -598,3 +669,14 @@ workflows:
             parameters:
               python_version: ["3.9", "3.10", "3.11", "3.12", "3.13"]
               extra_env: ["PYPI_RELEASE=1"]
+  cuda_test_release:
+    when:
+      and:
+        - equal: [ main, << pipeline.git.branch >> ]
+        - << pipeline.parameters.cuda_release >>
+    jobs:
+      - build_cuda_release:
+          matrix:
+            parameters:
+              python_version: ["3.9", "3.10", "3.11", "3.12", "3.13"]
+              extra_env: ["PYPI_RELEASE=1"]

CMakeLists.txt

@@ -231,6 +231,9 @@ target_include_directories(
   mlx PUBLIC $<BUILD_INTERFACE:${CMAKE_CURRENT_LIST_DIR}>
              $<INSTALL_INTERFACE:include>)
 
+# Do not add mlx_EXPORTS define for shared library.
+set_target_properties(mlx PROPERTIES DEFINE_SYMBOL "")
+
 FetchContent_Declare(
   fmt
   GIT_REPOSITORY https://github.com/fmtlib/fmt.git

benchmarks/cpp/irregular_strides.cpp

@@ -1,5 +1,6 @@
 // Copyright © 2023 Apple Inc.
 
+#include <cstring>
 #include <iostream>
 #include <sstream>
 

benchmarks/python/conv_unaligned_bench.py

@@ -0,0 +1,107 @@
+import math
+import time
+
+import mlx.core as mx
+import numpy as np
+import torch
+
+N_warmup = 10
+N_iter_bench = 100
+N_iter_func = 5
+
+
+def bench(f, a, b):
+    for i in range(N_warmup):
+        f(a, b)
+    torch.mps.synchronize()
+
+    s = time.perf_counter_ns()
+    for i in range(N_iter_bench):
+        f(a, b)
+    e = time.perf_counter_ns()
+    return (e - s) * 1e-9
+
+
+def make_mx_conv_2D(strides=(1, 1), padding=(0, 0), groups=1):
+    def mx_conv_2D(a, b):
+        ys = []
+        for i in range(N_iter_func):
+            y = mx.conv2d(a, b, stride=strides, padding=padding, groups=groups)
+            ys.append(y)
+        mx.eval(ys)
+        return ys
+
+    return mx_conv_2D
+
+
+def make_pt_conv_2D(strides=(1, 1), padding=(0, 0), groups=1):
+    @torch.no_grad()
+    def pt_conv_2D(a, b):
+        ys = []
+        for i in range(N_iter_func):
+            y = torch.conv2d(a, b, stride=strides, padding=padding, groups=groups)
+            ys.append(y)
+        torch.mps.synchronize()
+        return ys
+
+    return pt_conv_2D
+
+
+def bench_shape(N, H, W, C, kH, kW, O, strides, padding, groups, np_dtype):
+    scale = 1.0 / math.sqrt(kH * kH * C)
+    a_np = np.random.uniform(0, 0.5, (N, H, W, C)).astype(np_dtype)
+    b_np = np.random.uniform(-scale, scale, (O, kH, kW, int(C / groups))).astype(
+        np_dtype
+    )
+
+    a_mx = mx.array(a_np)
+    b_mx = mx.array(b_np)
+
+    a_pt = torch.from_numpy(a_np.transpose((0, 3, 1, 2))).to("mps")
+    b_pt = torch.from_numpy(b_np.transpose((0, 3, 1, 2))).to("mps")
+
+    torch.mps.synchronize()
+
+    f_mx = make_mx_conv_2D(strides, padding, groups)
+    f_pt = make_pt_conv_2D(strides, padding, groups)
+
+    time_torch = bench(f_pt, a_pt, b_pt)
+    time_mlx = bench(f_mx, a_mx, b_mx)
+
+    out_mx = mx.conv2d(a_mx, b_mx, stride=strides, padding=padding, groups=groups)
+    out_pt = torch.conv2d(
+        a_pt.to("cpu"), b_pt.to("cpu"), stride=strides, padding=padding, groups=groups
+    )
+    out_pt = torch.permute(out_pt, (0, 2, 3, 1))
+    out_pt = out_pt.numpy(force=True)
+
+    atol = 2e-5 if np_dtype == np.float32 else 1e-4
+
+    if not np.allclose(out_pt, out_mx, atol=atol):
+        print(
+            f"Failed at {(N, H, W, C)}, {(O, kH, kW, C)} [strides = {strides}, padding = {padding}, groups = {groups}] with max(|a - b|) = {np.max(np.abs(out_pt - out_mx))}"
+        )
+
+    return time_mlx, time_torch
+
+
+if __name__ == "__main__":
+    dtype = "float32"
+    shapes = (
+        (4, 32, 32, 21, 3, 3, 128),
+        (4, 32, 32, 21, 3, 3, 37),
+        (4, 32, 32, 370, 3, 3, 370),
+        (4, 32, 32, 370, 7, 7, 128),
+        (2, 320, 640, 21, 7, 7, 21),
+    )
+    for N, H, W, C, kh, kw, O in shapes:
+        time_mlx, time_torch = bench_shape(
+            N, H, W, C, kh, kw, O, (1, 1), (0, 0), 1, dtype
+        )
+        diff = time_torch / time_mlx - 1.0
+
+        print(
+            f"({N}, {H:3d}, {W:3d}, {C:3d}), ({O:3d}, {kh:2d}, {kw:2d}, {C:3d}), {dtype}, {100. * diff:+5.2f}%"
+        )
+        if time_mlx >= 2.0 * time_torch:
+            print("ATTENTION ^^^^^^^")

benchmarks/python/layer_norm_bench.py

@@ -1,5 +1,7 @@
 # Copyright © 2023-2024 Apple Inc.
 
+from functools import partial
+
 import mlx.core as mx
 import mlx.nn as nn
 from time_utils import time_fn
@@ -18,51 +20,63 @@ def layer_norm(x, w, b, eps):
     return y
 
 
-def time_layer_norm():
+def time_layer_norm(N, dt):
+    L = 1024
     f1 = lambda x, w, b, y: (layer_norm(x, w, b, 1e-5) * y).sum()
     f2 = lambda x, w, b, y: (mx.fast.layer_norm(x, w, b, 1e-5) * y).sum()
     g1 = mx.grad(f1, argnums=(0, 1, 2))
     g2 = mx.grad(f2, argnums=(0, 1, 2))
 
-    x = mx.random.uniform(shape=(8, 1024, 4096)).astype(mx.float16)
-    w = mx.random.uniform(shape=(4096,)).astype(mx.float16)
-    b = mx.random.uniform(shape=(4096,)).astype(mx.float16)
-    y = mx.random.uniform(shape=(8, 1024, 4096)).astype(mx.float16)
+    x = mx.random.uniform(shape=(8, L, N)).astype(dt)
+    w = mx.random.uniform(shape=(N,)).astype(dt)
+    b = mx.random.uniform(shape=(N,)).astype(dt)
+    y = mx.random.uniform(shape=(8, L, N)).astype(dt)
     mx.eval(x, w, b, y)
 
-    def layer_norm_loop(g, x, w, b):
+    def layer_norm_loop(f, x, w, b):
+        for _ in range(32):
+            x = f(x, w, b)
+        return x
+
+    time_fn(layer_norm_loop, partial(layer_norm, eps=1e-5), x, w, b)
+    time_fn(layer_norm_loop, partial(mx.fast.layer_norm, eps=1e-5), x, w, b)
+
+    def layer_norm_grad_loop(g, x, w, b):
         gx, gw, gb = x, w, b
         for _ in range(32):
             gx, gw, gb = g(gx, gw, gb, y)
         return gx, gw, gb
 
-    time_fn(layer_norm_loop, g1, x, w, b)
-    time_fn(layer_norm_loop, g2, x, w, b)
-    time_fn(layer_norm_loop, mx.compile(g1), x, w, b)
-    time_fn(layer_norm_loop, mx.compile(g2), x, w, b)
+    time_fn(layer_norm_grad_loop, g1, x, w, b)
+    time_fn(layer_norm_grad_loop, g2, x, w, b)
+    time_fn(layer_norm_grad_loop, mx.compile(g1), x, w, b)
+    time_fn(layer_norm_grad_loop, mx.compile(g2), x, w, b)
 
     f1 = lambda x, y: (layer_norm(x, None, None, 1e-5) * y).sum()
     f2 = lambda x, y: (mx.fast.layer_norm(x, None, None, 1e-5) * y).sum()
     g1 = mx.grad(f1, argnums=(0,))
     g2 = mx.grad(f2, argnums=(0,))
 
-    x = mx.random.uniform(shape=(8, 1024, 4096)).astype(mx.float16)
-    w = mx.random.uniform(shape=(4096,)).astype(mx.float16)
-    b = mx.random.uniform(shape=(4096,)).astype(mx.float16)
-    y = mx.random.uniform(shape=(8, 1024, 4096)).astype(mx.float16)
+    x = mx.random.uniform(shape=(8, L, N)).astype(dt)
+    w = mx.random.uniform(shape=(N,)).astype(dt)
+    b = mx.random.uniform(shape=(N,)).astype(dt)
+    y = mx.random.uniform(shape=(8, L, N)).astype(dt)
     mx.eval(x, w, b, y)
 
-    def layer_norm_loop(g, x):
+    def layer_norm_grad_x_loop(g, x):
         gx = x
         for _ in range(32):
             gx = g(gx, y)
         return gx
 
-    time_fn(layer_norm_loop, g1, x)
-    time_fn(layer_norm_loop, g2, x)
-    time_fn(layer_norm_loop, mx.compile(g1), x)
-    time_fn(layer_norm_loop, mx.compile(g2), x)
+    time_fn(layer_norm_grad_x_loop, g1, x)
+    time_fn(layer_norm_grad_x_loop, g2, x)
+    time_fn(layer_norm_grad_x_loop, mx.compile(g1), x)
+    time_fn(layer_norm_grad_x_loop, mx.compile(g2), x)
 
 
 if __name__ == "__main__":
-    time_layer_norm()
+    for dt in [mx.float32, mx.float16, mx.bfloat16]:
+        for n in [1024, 2048, 4096, 8192, 8192 + 1024]:
+            print(dt, n)
+            time_layer_norm(n, dt)

cmake/extension.cmake

@@ -11,13 +11,14 @@ include(CMakeParseArguments)
 # Args: TARGET: Custom target to be added for the metal library TITLE: Name of
 # the .metallib OUTPUT_DIRECTORY: Where to place ${TITLE}.metallib SOURCES: List
 # of source files INCLUDE_DIRS: List of include dirs DEPS: List of dependency
-# files (like headers)
+# files (like headers) DEBUG: Boolean, if true, enables debug compile options
+# for this specific library. If not provided, uses global MLX_METAL_DEBUG.
 #
 # clang format on
 
 macro(mlx_build_metallib)
   # Parse args
-  set(oneValueArgs TARGET TITLE OUTPUT_DIRECTORY)
+  set(oneValueArgs TARGET TITLE OUTPUT_DIRECTORY DEBUG)
   set(multiValueArgs SOURCES INCLUDE_DIRS DEPS)
   cmake_parse_arguments(MTLLIB "" "${oneValueArgs}" "${multiValueArgs}" ${ARGN})
 
@@ -26,6 +27,10 @@ macro(mlx_build_metallib)
 
   # Collect compile options
   set(MTLLIB_COMPILE_OPTIONS -Wall -Wextra -fno-fast-math -Wno-c++17-extensions)
+  if(MLX_METAL_DEBUG OR MTLLIB_DEBUG)
+    set(MTLLIB_COMPILE_OPTIONS ${MTLLIB_COMPILE_OPTIONS} -gline-tables-only
+                               -frecord-sources)
+  endif()
 
   # Prepare metallib build command
   add_custom_command(

docs/src/conf.py

@@ -10,7 +10,7 @@ import mlx.core as mx
 # -- Project information -----------------------------------------------------
 
 project = "MLX"
-copyright = "2023, MLX Contributors"
+copyright = "2023, Apple"
 author = "MLX Contributors"
 version = ".".join(mx.__version__.split(".")[:3])
 release = version

docs/src/dev/custom_metal_kernels.rst

@@ -8,23 +8,26 @@ MLX supports writing custom Metal kernels through the Python and C++ APIs.
 Simple Example
 --------------
 
+.. currentmodule:: mlx.core
+
 Let's write a custom kernel that computes ``exp`` elementwise:
 
 .. code-block:: python
 
-  def exp_elementwise(a: mx.array):
-      source = """
-          uint elem = thread_position_in_grid.x;
-          T tmp = inp[elem];
-          out[elem] = metal::exp(tmp);
-      """
+  source = """
+      uint elem = thread_position_in_grid.x;
+      T tmp = inp[elem];
+      out[elem] = metal::exp(tmp);
+  """
 
-      kernel = mx.fast.metal_kernel(
-          name="myexp",
-          input_names=["inp"],
-          output_names=["out"],
-          source=source,
-      )
+  kernel = mx.fast.metal_kernel(
+      name="myexp",
+      input_names=["inp"],
+      output_names=["out"],
+      source=source,
+  )
+
+  def exp_elementwise(a: mx.array):
       outputs = kernel(
           inputs=[a],
           template=[("T", mx.float32)],
@@ -39,8 +42,13 @@ Let's write a custom kernel that computes ``exp`` elementwise:
   b = exp_elementwise(a)
   assert mx.allclose(b, mx.exp(a))
 
+Every time you make a kernel, a new Metal library is created and possibly
+JIT compiled. To reduce the overhead from that, build the kernel once with
+:func:`fast.metal_kernel` and then use it many times.
+
 .. note::
-    We are only required to pass the body of the Metal kernel in ``source``.
+   Only pass the body of the Metal kernel in ``source``. The function
+   signature is generated automatically.
 
 The full function signature will be generated using:
 
@@ -78,44 +86,51 @@ Putting this all together, the generated function signature for ``myexp`` is as
 
   template [[host_name("custom_kernel_myexp_float")]] [[kernel]] decltype(custom_kernel_myexp_float<float>) custom_kernel_myexp_float<float>;
 
-Note: ``grid`` and ``threadgroup`` are parameters to the Metal `dispatchThreads <https://developer.apple.com/documentation/metal/mtlcomputecommandencoder/2866532-dispatchthreads>`_ function.
-This means we will launch ``mx.prod(grid)`` threads, subdivided into ``threadgroup`` size threadgroups.
-For optimal performance, each thread group dimension should be less than or equal to the corresponding grid dimension.
+Note: ``grid`` and ``threadgroup`` are parameters to the Metal `dispatchThreads
+<https://developer.apple.com/documentation/metal/mtlcomputecommandencoder/2866532-dispatchthreads>`_
+function. This means we will launch ``mx.prod(grid)`` threads, subdivided into
+``threadgroup`` size threadgroups.  For optimal performance, each thread group
+dimension should be less than or equal to the corresponding grid dimension.
 
-Passing ``verbose=True`` to ``mx.fast.metal_kernel.__call__`` will print the generated code for debugging purposes.
+Passing ``verbose=True`` to :func:`ast.metal_kernel.__call__` will print the
+generated code for debugging purposes.
 
 Using Shape/Strides
 -------------------
 
-``mx.fast.metal_kernel`` supports an argument ``ensure_row_contiguous`` which is ``True`` by default.
-This will copy the ``mx.array`` inputs if needed before the kernel is launched to ensure that the memory layout is row contiguous.
-Generally this makes writing the kernel easier, since we don't have to worry about gaps or the ordering of the dims
-when indexing.
+:func:`fast.metal_kernel` supports an argument ``ensure_row_contiguous`` which
+is ``True`` by default. This will copy the array inputs if needed
+before the kernel is launched to ensure that the memory layout is row
+contiguous.  Generally this makes writing the kernel easier, since we don't
+have to worry about gaps or the ordering of the dims when indexing.
 
-If we want to avoid this copy, ``metal_kernel`` automatically passes ``a_shape``, ``a_strides`` and ``a_ndim`` for each
-input array ``a`` if any are present in ``source``.
-We can then use MLX's built in indexing utils to fetch the right elements for each thread.
+If we want to avoid this copy, :func:`fast.metal_kernel` automatically passes
+``a_shape``, ``a_strides`` and ``a_ndim`` for each input array ``a`` if any are
+present in ``source``. We can then use MLX's built in indexing utils to fetch
+the right elements for each thread.
 
-Let's convert ``myexp`` above to support arbitrarily strided arrays without relying on a copy from ``ensure_row_contiguous``:
+Let's convert ``myexp`` above to support arbitrarily strided arrays without
+relying on a copy from ``ensure_row_contiguous``:
 
 .. code-block:: python
+   
+  source = """
+      uint elem = thread_position_in_grid.x;
+      // Utils from `mlx/backend/metal/kernels/utils.h` are automatically included
+      uint loc = elem_to_loc(elem, inp_shape, inp_strides, inp_ndim);
+      T tmp = inp[loc];
+      // Output arrays are always row contiguous
+      out[elem] = metal::exp(tmp);
+  """
+
+  kernel = mx.fast.metal_kernel(
+      name="myexp_strided",
+      input_names=["inp"],
+      output_names=["out"],
+      source=source
+  )
 
   def exp_elementwise(a: mx.array):
-      source = """
-          uint elem = thread_position_in_grid.x;
-          // Utils from `mlx/backend/metal/kernels/utils.h` are automatically included
-          uint loc = elem_to_loc(elem, inp_shape, inp_strides, inp_ndim);
-          T tmp = inp[loc];
-          // Output arrays are always row contiguous
-          out[elem] = metal::exp(tmp);
-      """
-
-      kernel = mx.fast.metal_kernel(
-          name="myexp_strided",
-          input_names=["inp"],
-          output_names=["out"],
-          source=source
-      )
       outputs = kernel(
           inputs=[a],
           template=[("T", mx.float32)],
@@ -142,137 +157,139 @@ We'll start with the following MLX implementation using standard ops:
 
 .. code-block:: python
 
-    def grid_sample_ref(x, grid):
-        N, H_in, W_in, _ = x.shape
-        ix = ((grid[..., 0] + 1) * W_in - 1) / 2
-        iy = ((grid[..., 1] + 1) * H_in - 1) / 2
+  def grid_sample_ref(x, grid):
+      N, H_in, W_in, _ = x.shape
+      ix = ((grid[..., 0] + 1) * W_in - 1) / 2
+      iy = ((grid[..., 1] + 1) * H_in - 1) / 2
 
-        ix_nw = mx.floor(ix).astype(mx.int32)
-        iy_nw = mx.floor(iy).astype(mx.int32)
+      ix_nw = mx.floor(ix).astype(mx.int32)
+      iy_nw = mx.floor(iy).astype(mx.int32)
 
-        ix_ne = ix_nw + 1
-        iy_ne = iy_nw
+      ix_ne = ix_nw + 1
+      iy_ne = iy_nw
 
-        ix_sw = ix_nw
-        iy_sw = iy_nw + 1
+      ix_sw = ix_nw
+      iy_sw = iy_nw + 1
 
-        ix_se = ix_nw + 1
-        iy_se = iy_nw + 1
+      ix_se = ix_nw + 1
+      iy_se = iy_nw + 1
 
-        nw = (ix_se - ix)    * (iy_se - iy)
-        ne = (ix    - ix_sw) * (iy_sw - iy)
-        sw = (ix_ne - ix)    * (iy    - iy_ne)
-        se = (ix    - ix_nw) * (iy    - iy_nw)
+      nw = (ix_se - ix)    * (iy_se - iy)
+      ne = (ix    - ix_sw) * (iy_sw - iy)
+      sw = (ix_ne - ix)    * (iy    - iy_ne)
+      se = (ix    - ix_nw) * (iy    - iy_nw)
 
-        I_nw = x[mx.arange(N)[:, None, None], iy_nw, ix_nw, :]
-        I_ne = x[mx.arange(N)[:, None, None], iy_ne, ix_ne, :]
-        I_sw = x[mx.arange(N)[:, None, None], iy_sw, ix_sw, :]
-        I_se = x[mx.arange(N)[:, None, None], iy_se, ix_se, :]
+      I_nw = x[mx.arange(N)[:, None, None], iy_nw, ix_nw, :]
+      I_ne = x[mx.arange(N)[:, None, None], iy_ne, ix_ne, :]
+      I_sw = x[mx.arange(N)[:, None, None], iy_sw, ix_sw, :]
+      I_se = x[mx.arange(N)[:, None, None], iy_se, ix_se, :]
 
-        mask_nw = (iy_nw >= 0) & (iy_nw <= H_in - 1) & (ix_nw >= 0) & (ix_nw <= W_in - 1)
-        mask_ne = (iy_ne >= 0) & (iy_ne <= H_in - 1) & (ix_ne >= 0) & (ix_ne <= W_in - 1)
-        mask_sw = (iy_sw >= 0) & (iy_sw <= H_in - 1) & (ix_sw >= 0) & (ix_sw <= W_in - 1)
-        mask_se = (iy_se >= 0) & (iy_se <= H_in - 1) & (ix_se >= 0) & (ix_se <= W_in - 1)
+      mask_nw = (iy_nw >= 0) & (iy_nw <= H_in - 1) & (ix_nw >= 0) & (ix_nw <= W_in - 1)
+      mask_ne = (iy_ne >= 0) & (iy_ne <= H_in - 1) & (ix_ne >= 0) & (ix_ne <= W_in - 1)
+      mask_sw = (iy_sw >= 0) & (iy_sw <= H_in - 1) & (ix_sw >= 0) & (ix_sw <= W_in - 1)
+      mask_se = (iy_se >= 0) & (iy_se <= H_in - 1) & (ix_se >= 0) & (ix_se <= W_in - 1)
 
-        I_nw *= mask_nw[..., None]
-        I_ne *= mask_ne[..., None]
-        I_sw *= mask_sw[..., None]
-        I_se *= mask_se[..., None]
+      I_nw *= mask_nw[..., None]
+      I_ne *= mask_ne[..., None]
+      I_sw *= mask_sw[..., None]
+      I_se *= mask_se[..., None]
 
-        output = nw[..., None] * I_nw + ne[..., None] * I_ne + sw[..., None] * I_sw + se[..., None] * I_se
+      output = nw[..., None] * I_nw + ne[..., None] * I_ne + sw[..., None] * I_sw + se[..., None] * I_se
 
-        return output
+      return output
 
-Now let's use ``mx.custom_function`` together with ``mx.fast.metal_kernel``
+Now let's use :func:`custom_function` together with :func:`fast.metal_kernel`
 to write a fast GPU kernel for both the forward and backward passes.
 
 First we'll implement the forward pass as a fused kernel:
 
 .. code-block:: python
 
-    @mx.custom_function
-    def grid_sample(x, grid):
+  source = """
+      uint elem = thread_position_in_grid.x;
+      int H = x_shape[1];
+      int W = x_shape[2];
+      int C = x_shape[3];
+      int gH = grid_shape[1];
+      int gW = grid_shape[2];
 
-        assert x.ndim == 4, "`x` must be 4D."
-        assert grid.ndim == 4, "`grid` must be 4D."
+      int w_stride = C;
+      int h_stride = W * w_stride;
+      int b_stride = H * h_stride;
 
-        B, _, _, C = x.shape
-        _, gN, gM, D = grid.shape
-        out_shape = (B, gN, gM, C)
+      uint grid_idx = elem / C * 2;
+      float ix = ((grid[grid_idx] + 1) * W - 1) / 2;
+      float iy = ((grid[grid_idx + 1] + 1) * H - 1) / 2;
 
-        assert D == 2, "Last dim of `grid` must be size 2."
+      int ix_nw = floor(ix);
+      int iy_nw = floor(iy);
 
-        source = """
-            uint elem = thread_position_in_grid.x;
-            int H = x_shape[1];
-            int W = x_shape[2];
-            int C = x_shape[3];
-            int gH = grid_shape[1];
-            int gW = grid_shape[2];
+      int ix_ne = ix_nw + 1;
+      int iy_ne = iy_nw;
 
-            int w_stride = C;
-            int h_stride = W * w_stride;
-            int b_stride = H * h_stride;
+      int ix_sw = ix_nw;
+      int iy_sw = iy_nw + 1;
 
-            uint grid_idx = elem / C * 2;
-            float ix = ((grid[grid_idx] + 1) * W - 1) / 2;
-            float iy = ((grid[grid_idx + 1] + 1) * H - 1) / 2;
+      int ix_se = ix_nw + 1;
+      int iy_se = iy_nw + 1;
 
-            int ix_nw = floor(ix);
-            int iy_nw = floor(iy);
+      T nw = (ix_se - ix)    * (iy_se - iy);
+      T ne = (ix    - ix_sw) * (iy_sw - iy);
+      T sw = (ix_ne - ix)    * (iy    - iy_ne);
+      T se = (ix    - ix_nw) * (iy    - iy_nw);
 
-            int ix_ne = ix_nw + 1;
-            int iy_ne = iy_nw;
+      int batch_idx = elem / C / gH / gW * b_stride;
+      int channel_idx = elem % C;
+      int base_idx = batch_idx + channel_idx;
 
-            int ix_sw = ix_nw;
-            int iy_sw = iy_nw + 1;
+      T I_nw = x[base_idx + iy_nw * h_stride + ix_nw * w_stride];
+      T I_ne = x[base_idx + iy_ne * h_stride + ix_ne * w_stride];
+      T I_sw = x[base_idx + iy_sw * h_stride + ix_sw * w_stride];
+      T I_se = x[base_idx + iy_se * h_stride + ix_se * w_stride];
 
-            int ix_se = ix_nw + 1;
-            int iy_se = iy_nw + 1;
+      I_nw = iy_nw >= 0 && iy_nw <= H - 1 && ix_nw >= 0 && ix_nw <= W - 1 ? I_nw : 0;
+      I_ne = iy_ne >= 0 && iy_ne <= H - 1 && ix_ne >= 0 && ix_ne <= W - 1 ? I_ne : 0;
+      I_sw = iy_sw >= 0 && iy_sw <= H - 1 && ix_sw >= 0 && ix_sw <= W - 1 ? I_sw : 0;
+      I_se = iy_se >= 0 && iy_se <= H - 1 && ix_se >= 0 && ix_se <= W - 1 ? I_se : 0;
 
-            T nw = (ix_se - ix)    * (iy_se - iy);
-            T ne = (ix    - ix_sw) * (iy_sw - iy);
-            T sw = (ix_ne - ix)    * (iy    - iy_ne);
-            T se = (ix    - ix_nw) * (iy    - iy_nw);
+      out[elem] = nw * I_nw + ne * I_ne + sw * I_sw + se * I_se;
+  """
 
-            int batch_idx = elem / C / gH / gW * b_stride;
-            int channel_idx = elem % C;
-            int base_idx = batch_idx + channel_idx;
+  kernel = mx.fast.metal_kernel(
+      name="grid_sample",
+      input_names=["x", "grid"],
+      output_names=["out"],
+      source=source,
+  )
 
-            T I_nw = x[base_idx + iy_nw * h_stride + ix_nw * w_stride];
-            T I_ne = x[base_idx + iy_ne * h_stride + ix_ne * w_stride];
-            T I_sw = x[base_idx + iy_sw * h_stride + ix_sw * w_stride];
-            T I_se = x[base_idx + iy_se * h_stride + ix_se * w_stride];
+  @mx.custom_function
+  def grid_sample(x, grid):
 
-            I_nw = iy_nw >= 0 && iy_nw <= H - 1 && ix_nw >= 0 && ix_nw <= W - 1 ? I_nw : 0;
-            I_ne = iy_ne >= 0 && iy_ne <= H - 1 && ix_ne >= 0 && ix_ne <= W - 1 ? I_ne : 0;
-            I_sw = iy_sw >= 0 && iy_sw <= H - 1 && ix_sw >= 0 && ix_sw <= W - 1 ? I_sw : 0;
-            I_se = iy_se >= 0 && iy_se <= H - 1 && ix_se >= 0 && ix_se <= W - 1 ? I_se : 0;
+      assert x.ndim == 4, "`x` must be 4D."
+      assert grid.ndim == 4, "`grid` must be 4D."
 
-            out[elem] = nw * I_nw + ne * I_ne + sw * I_sw + se * I_se;
-        """
-        kernel = mx.fast.metal_kernel(
-            name="grid_sample",
-            input_names=["x", "grid"],
-            output_names=["out"],
-            source=source,
-        )
-        outputs = kernel(
-            inputs=[x, grid],
-            template=[("T", x.dtype)],
-            output_shapes=[out_shape],
-            output_dtypes=[x.dtype],
-            grid=(np.prod(out_shape), 1, 1),
-            threadgroup=(256, 1, 1),
-        )
-        return outputs[0]
+      B, _, _, C = x.shape
+      _, gN, gM, D = grid.shape
+      out_shape = (B, gN, gM, C)
+
+      assert D == 2, "Last dim of `grid` must be size 2."
+
+      outputs = kernel(
+          inputs=[x, grid],
+          template=[("T", x.dtype)],
+          output_shapes=[out_shape],
+          output_dtypes=[x.dtype],
+          grid=(np.prod(out_shape), 1, 1),
+          threadgroup=(256, 1, 1),
+      )
+      return outputs[0]
 
 For a reasonably sized input such as:
 
 .. code-block:: python
 
-    x.shape = (8, 1024, 1024, 64)
-    grid.shape = (8, 256, 256, 2)
+  x.shape = (8, 1024, 1024, 64)
+  grid.shape = (8, 256, 256, 2)
 
 On an M1 Max, we see a big performance improvement:
 
@@ -281,11 +298,11 @@ On an M1 Max, we see a big performance improvement:
 Grid Sample VJP
 ---------------
 
-Since we decorated ``grid_sample`` with ``mx.custom_function``, we can now define
-its custom vjp transform so MLX can differentiate it.
+Since we decorated ``grid_sample`` with :func:`custom_function`, we can now
+define its custom vjp transform so MLX can differentiate it.
 
 The backwards pass requires atomically updating ``x_grad``/``grid_grad`` and so
-requires a few extra ``mx.fast.metal_kernel`` features:
+requires a few extra :func:`fast.metal_kernel` features:
 
 * ``init_value=0``
     Initialize all of the kernel's outputs to this value before it runs. This allows us to update only part of the output arrays with the kernel.
@@ -299,128 +316,129 @@ We can then implement the backwards pass as follows:
 
 .. code-block:: python
 
-    @grid_sample.vjp
-    def grid_sample_vjp(primals, cotangent, _):
-        x, grid = primals
-        B, _, _, C = x.shape
-        _, gN, gM, D = grid.shape
+  source = """
+      uint elem = thread_position_in_grid.x;
+      int H = x_shape[1];
+      int W = x_shape[2];
+      int C = x_shape[3];
+      // Pad C to the nearest larger simdgroup size multiple
+      int C_padded = ceildiv(C, threads_per_simdgroup) * threads_per_simdgroup;
 
-        assert D == 2, "Last dim of `grid` must be size 2."
+      int gH = grid_shape[1];
+      int gW = grid_shape[2];
 
-        source = """
-            uint elem = thread_position_in_grid.x;
-            int H = x_shape[1];
-            int W = x_shape[2];
-            int C = x_shape[3];
-            // Pad C to the nearest larger simdgroup size multiple
-            int C_padded = ceildiv(C, threads_per_simdgroup) * threads_per_simdgroup;
+      int w_stride = C;
+      int h_stride = W * w_stride;
+      int b_stride = H * h_stride;
 
-            int gH = grid_shape[1];
-            int gW = grid_shape[2];
+      uint grid_idx = elem / C_padded * 2;
+      float ix = ((grid[grid_idx] + 1) * W - 1) / 2;
+      float iy = ((grid[grid_idx + 1] + 1) * H - 1) / 2;
 
-            int w_stride = C;
-            int h_stride = W * w_stride;
-            int b_stride = H * h_stride;
+      int ix_nw = floor(ix);
+      int iy_nw = floor(iy);
 
-            uint grid_idx = elem / C_padded * 2;
-            float ix = ((grid[grid_idx] + 1) * W - 1) / 2;
-            float iy = ((grid[grid_idx + 1] + 1) * H - 1) / 2;
+      int ix_ne = ix_nw + 1;
+      int iy_ne = iy_nw;
 
-            int ix_nw = floor(ix);
-            int iy_nw = floor(iy);
+      int ix_sw = ix_nw;
+      int iy_sw = iy_nw + 1;
 
-            int ix_ne = ix_nw + 1;
-            int iy_ne = iy_nw;
+      int ix_se = ix_nw + 1;
+      int iy_se = iy_nw + 1;
 
-            int ix_sw = ix_nw;
-            int iy_sw = iy_nw + 1;
+      T nw = (ix_se - ix)    * (iy_se - iy);
+      T ne = (ix    - ix_sw) * (iy_sw - iy);
+      T sw = (ix_ne - ix)    * (iy    - iy_ne);
+      T se = (ix    - ix_nw) * (iy    - iy_nw);
 
-            int ix_se = ix_nw + 1;
-            int iy_se = iy_nw + 1;
+      int batch_idx = elem / C_padded / gH / gW * b_stride;
+      int channel_idx = elem % C_padded;
+      int base_idx = batch_idx + channel_idx;
 
-            T nw = (ix_se - ix)    * (iy_se - iy);
-            T ne = (ix    - ix_sw) * (iy_sw - iy);
-            T sw = (ix_ne - ix)    * (iy    - iy_ne);
-            T se = (ix    - ix_nw) * (iy    - iy_nw);
+      T gix = T(0);
+      T giy = T(0);
+      if (channel_idx < C) {
+          int cot_index = elem / C_padded * C + channel_idx;
+          T cot = cotangent[cot_index];
+          if (iy_nw >= 0 && iy_nw <= H - 1 && ix_nw >= 0 && ix_nw <= W - 1) {
+              int offset = base_idx + iy_nw * h_stride + ix_nw * w_stride;
+              atomic_fetch_add_explicit(&x_grad[offset], nw * cot, memory_order_relaxed);
 
-            int batch_idx = elem / C_padded / gH / gW * b_stride;
-            int channel_idx = elem % C_padded;
-            int base_idx = batch_idx + channel_idx;
+              T I_nw = x[offset];
+              gix -= I_nw * (iy_se - iy) * cot;
+              giy -= I_nw * (ix_se - ix) * cot;
+          }
+          if (iy_ne >= 0 && iy_ne <= H - 1 && ix_ne >= 0 && ix_ne <= W - 1) {
+              int offset = base_idx + iy_ne * h_stride + ix_ne * w_stride;
+              atomic_fetch_add_explicit(&x_grad[offset], ne * cot, memory_order_relaxed);
 
-            T gix = T(0);
-            T giy = T(0);
-            if (channel_idx < C) {
-                int cot_index = elem / C_padded * C + channel_idx;
-                T cot = cotangent[cot_index];
-                if (iy_nw >= 0 && iy_nw <= H - 1 && ix_nw >= 0 && ix_nw <= W - 1) {
-                    int offset = base_idx + iy_nw * h_stride + ix_nw * w_stride;
-                    atomic_fetch_add_explicit(&x_grad[offset], nw * cot, memory_order_relaxed);
+              T I_ne = x[offset];
+              gix += I_ne * (iy_sw - iy) * cot;
+              giy -= I_ne * (ix - ix_sw) * cot;
+          }
+          if (iy_sw >= 0 && iy_sw <= H - 1 && ix_sw >= 0 && ix_sw <= W - 1) {
+              int offset = base_idx + iy_sw * h_stride + ix_sw * w_stride;
+              atomic_fetch_add_explicit(&x_grad[offset], sw * cot, memory_order_relaxed);
 
-                    T I_nw = x[offset];
-                    gix -= I_nw * (iy_se - iy) * cot;
-                    giy -= I_nw * (ix_se - ix) * cot;
-                }
-                if (iy_ne >= 0 && iy_ne <= H - 1 && ix_ne >= 0 && ix_ne <= W - 1) {
-                    int offset = base_idx + iy_ne * h_stride + ix_ne * w_stride;
-                    atomic_fetch_add_explicit(&x_grad[offset], ne * cot, memory_order_relaxed);
+              T I_sw = x[offset];
+              gix -= I_sw * (iy - iy_ne) * cot;
+              giy += I_sw * (ix_ne - ix) * cot;
+          }
+          if (iy_se >= 0 && iy_se <= H - 1 && ix_se >= 0 && ix_se <= W - 1) {
+              int offset = base_idx + iy_se * h_stride + ix_se * w_stride;
+              atomic_fetch_add_explicit(&x_grad[offset], se * cot, memory_order_relaxed);
 
-                    T I_ne = x[offset];
-                    gix += I_ne * (iy_sw - iy) * cot;
-                    giy -= I_ne * (ix - ix_sw) * cot;
-                }
-                if (iy_sw >= 0 && iy_sw <= H - 1 && ix_sw >= 0 && ix_sw <= W - 1) {
-                    int offset = base_idx + iy_sw * h_stride + ix_sw * w_stride;
-                    atomic_fetch_add_explicit(&x_grad[offset], sw * cot, memory_order_relaxed);
+              T I_se = x[offset];
+              gix += I_se * (iy - iy_nw) * cot;
+              giy += I_se * (ix - ix_nw) * cot;
+          }
+      }
 
-                    T I_sw = x[offset];
-                    gix -= I_sw * (iy - iy_ne) * cot;
-                    giy += I_sw * (ix_ne - ix) * cot;
-                }
-                if (iy_se >= 0 && iy_se <= H - 1 && ix_se >= 0 && ix_se <= W - 1) {
-                    int offset = base_idx + iy_se * h_stride + ix_se * w_stride;
-                    atomic_fetch_add_explicit(&x_grad[offset], se * cot, memory_order_relaxed);
+      T gix_mult = W / 2;
+      T giy_mult = H / 2;
 
-                    T I_se = x[offset];
-                    gix += I_se * (iy - iy_nw) * cot;
-                    giy += I_se * (ix - ix_nw) * cot;
-                }
-            }
+      // Reduce across each simdgroup first.
+      // This is much faster than relying purely on atomics.
+      gix = simd_sum(gix);
+      giy = simd_sum(giy);
 
-            T gix_mult = W / 2;
-            T giy_mult = H / 2;
+      if (thread_index_in_simdgroup == 0) {
+          atomic_fetch_add_explicit(&grid_grad[grid_idx], gix * gix_mult, memory_order_relaxed);
+          atomic_fetch_add_explicit(&grid_grad[grid_idx + 1], giy * giy_mult, memory_order_relaxed);
+      }
+  """
+  kernel = mx.fast.metal_kernel(
+      name="grid_sample_grad",
+      input_names=["x", "grid", "cotangent"],
+      output_names=["x_grad", "grid_grad"],
+      source=source,
+      atomic_outputs=True,
+  )
 
-            // Reduce across each simdgroup first.
-            // This is much faster than relying purely on atomics.
-            gix = simd_sum(gix);
-            giy = simd_sum(giy);
+  @grid_sample.vjp
+  def grid_sample_vjp(primals, cotangent, _):
+      x, grid = primals
+      B, _, _, C = x.shape
+      _, gN, gM, D = grid.shape
 
-            if (thread_index_in_simdgroup == 0) {
-                atomic_fetch_add_explicit(&grid_grad[grid_idx], gix * gix_mult, memory_order_relaxed);
-                atomic_fetch_add_explicit(&grid_grad[grid_idx + 1], giy * giy_mult, memory_order_relaxed);
-            }
-        """
-        kernel = mx.fast.metal_kernel(
-            name="grid_sample_grad",
-            input_names=["x", "grid", "cotangent"],
-            output_names=["x_grad", "grid_grad"],
-            source=source,
-            atomic_outputs=True,
-        )
-        # pad the output channels to simd group size
-        # so that our `simd_sum`s don't overlap.
-        simdgroup_size = 32
-        C_padded = (C + simdgroup_size - 1) // simdgroup_size * simdgroup_size
-        grid_size = B * gN * gM * C_padded
-        outputs = kernel(
-            inputs=[x, grid, cotangent],
-            template=[("T", x.dtype)],
-            output_shapes=[x.shape, grid.shape],
-            output_dtypes=[x.dtype, x.dtype],
-            grid=(grid_size, 1, 1),
-            threadgroup=(256, 1, 1),
-            init_value=0,
-        )
-        return outputs[0], outputs[1]
+      assert D == 2, "Last dim of `grid` must be size 2."
+
+      # pad the output channels to simd group size
+      # so that our `simd_sum`s don't overlap.
+      simdgroup_size = 32
+      C_padded = (C + simdgroup_size - 1) // simdgroup_size * simdgroup_size
+      grid_size = B * gN * gM * C_padded
+      outputs = kernel(
+          inputs=[x, grid, cotangent],
+          template=[("T", x.dtype)],
+          output_shapes=[x.shape, grid.shape],
+          output_dtypes=[x.dtype, x.dtype],
+          grid=(grid_size, 1, 1),
+          threadgroup=(256, 1, 1),
+          init_value=0,
+      )
+      return outputs[0], outputs[1]
 
 There's an even larger speed up for the vjp:
 

docs/src/dev/extensions.rst

@@ -397,11 +397,11 @@ below.
         std::ostringstream kname;
         kname << "axpby_" << "general_" << type_to_name(out);
 
-        // Make sure the metal library is available
-        d.register_library("mlx_ext");
+        // Load the metal library
+        auto lib = d.get_library("mlx_ext");
 
         // Make a kernel from this metal library
-        auto kernel = d.get_kernel(kname.str(), "mlx_ext");
+        auto kernel = d.get_kernel(kname.str(), lib);
 
         // Prepare to encode kernel
         auto& compute_encoder = d.get_command_encoder(s.index);

docs/src/install.rst

@@ -30,6 +30,16 @@ MLX is also available on conda-forge. To install MLX with conda do:
 
    conda install conda-forge::mlx
 
+CUDA
+^^^^
+
+MLX has a CUDA backend which you can use on any Linux platform with CUDA 12
+and SM 7.0 (Volta) and up. To install MLX with CUDA support, run:
+
+.. code-block:: shell
+
+    pip install mlx-cuda
+
 
 Troubleshooting
 ^^^^^^^^^^^^^^^
@@ -65,6 +75,8 @@ Build Requirements
 Python API
 ^^^^^^^^^^
 
+.. _python install:
+
 To build and install the MLX python library from source, first, clone MLX from
 `its GitHub repo <https://github.com/ml-explore/mlx>`_:
 
@@ -107,6 +119,8 @@ IDE:
 C++ API
 ^^^^^^^
 
+.. _cpp install:
+
 Currently, MLX must be built and installed from source.
 
 Similarly to the python library, to build and install the MLX C++ library start
@@ -185,6 +199,7 @@ should point to the path to the built metal library.
 
       xcrun -sdk macosx --show-sdk-version
 
+
 Binary Size Minimization
 ~~~~~~~~~~~~~~~~~~~~~~~~
 
@@ -213,6 +228,50 @@ be anwywhere from a few hundred millisecond to a few seconds depending on the
 application. Once a kernel is compiled, it will be cached by the system. The
 Metal kernel cache persists across reboots.
 
+Linux
+^^^^^
+
+To build from source on Linux (CPU only), install the BLAS and LAPACK headers.
+For example on Ubuntu, run the following:
+
+.. code-block:: shell
+
+   apt-get update -y
+   apt-get install libblas-dev liblapack-dev liblapacke-dev -y
+
+From here follow the instructions to install either the :ref:`Python <python
+install>` or :ref:`C++ <cpp install>` APIs.
+
+CUDA
+^^^^
+
+To build from source on Linux with CUDA, install the BLAS and LAPACK headers
+and the CUDA toolkit. For example on Ubuntu, run the following:
+
+.. code-block:: shell
+
+   wget https://developer.download.nvidia.com/compute/cuda/repos/ubuntu2204/x86_64/cuda-keyring_1.1-1_all.deb
+   dpkg -i cuda-keyring_1.1-1_all.deb
+   apt-get update -y
+   apt-get -y install cuda-toolkit-12-9
+   apt-get install libblas-dev liblapack-dev liblapacke-dev -y
+
+
+When building either the Python or C++ APIs make sure to pass the cmake flag
+``MLX_BUILD_CUDA=ON``. For example, to build the Python API run:
+
+.. code-block:: shell
+
+  CMAKE_BUILD_PARALLEL_LEVEL=8 CMAKE_ARGS="-DMLX_BUILD_CUDA=ON" pip install -e ".[dev]"
+
+To build the C++ package run:
+
+.. code-block:: shell
+
+   mkdir -p build && cd build
+   cmake .. -DMLX_BUILD_CUDA=ON && make -j
+
+
 Troubleshooting
 ^^^^^^^^^^^^^^^
 

docs/src/python/array.rst

@@ -19,6 +19,8 @@ Array
     array.ndim
     array.shape
     array.size
+    array.real
+    array.imag
     array.abs
     array.all
     array.any

docs/src/python/linalg.rst

@@ -16,6 +16,8 @@ Linear Algebra
     cross
     qr
     svd
+    eigvals
+    eig
     eigvalsh
     eigh
     lu

docs/src/usage/indexing.rst

@@ -107,6 +107,16 @@ same array:
   >>> a
   array([1, 2, 0], dtype=int32)
 
+
+Note, unlike NumPy, updates to the same location are nondeterministic:
+
+.. code-block:: shell
+
+  >>> a = mx.array([1, 2, 3])
+  >>> a[[0, 0]] = mx.array([4, 5])
+
+The first element of ``a`` could be ``4`` or ``5``.
+
 Transformations of functions which use in-place updates are allowed and work as
 expected. For example:
 

examples/extensions/axpby/axpby.cpp

@@ -172,11 +172,11 @@ void Axpby::eval_gpu(
   kname << (contiguous_kernel ? "contiguous_" : "general_");
   kname << type_to_name(out);
 
-  // Make sure the metal library is available
-  d.register_library("mlx_ext");
+  // Load the metal library
+  auto lib = d.get_library("mlx_ext");
 
   // Make a kernel from this metal library
-  auto kernel = d.get_kernel(kname.str(), "mlx_ext");
+  auto kernel = d.get_kernel(kname.str(), lib);
 
   // Prepare to encode kernel
   auto& compute_encoder = d.get_command_encoder(s.index);

mlx/CMakeLists.txt

@@ -21,7 +21,7 @@ target_sources(
           ${CMAKE_CURRENT_SOURCE_DIR}/backend/metal/metal.h)
 
 # Define MLX_VERSION only in the version.cpp file.
-add_library(mlx_version STATIC ${CMAKE_CURRENT_SOURCE_DIR}/version.cpp)
+add_library(mlx_version OBJECT ${CMAKE_CURRENT_SOURCE_DIR}/version.cpp)
 target_compile_definitions(mlx_version PRIVATE MLX_VERSION="${MLX_VERSION}")
 target_link_libraries(mlx PRIVATE $<BUILD_INTERFACE:mlx_version>)
 
@@ -55,6 +55,9 @@ endif()
 
 if(MLX_BUILD_CUDA)
   add_subdirectory(${CMAKE_CURRENT_SOURCE_DIR}/backend/cuda)
+else()
+  target_sources(mlx
+                 PRIVATE ${CMAKE_CURRENT_SOURCE_DIR}/backend/cuda/no_cuda.cpp)
 endif()
 
 if(MLX_BUILD_METAL OR MLX_BUILD_CUDA)

mlx/array.h

@@ -224,6 +224,10 @@ class array {
     // Not copyable
     Data(const Data& d) = delete;
     Data& operator=(const Data& d) = delete;
+    Data(Data&& o) : buffer(o.buffer), d(o.d) {
+      o.buffer = allocator::Buffer(nullptr);
+      o.d = [](allocator::Buffer) {};
+    }
     ~Data() {
       d(buffer);
     }

mlx/backend/common/buffer_cache.h

@@ -0,0 +1,157 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include <cassert>
+#include <functional>
+#include <map>
+
+namespace mlx::core {
+
+template <typename T>
+class BufferCache {
+ public:
+  BufferCache(
+      size_t page_size,
+      std::function<size_t(T*)> get_size,
+      std::function<void(T*)> free)
+      : page_size_(page_size),
+        get_size_(std::move(get_size)),
+        free_(std::move(free)) {}
+
+  ~BufferCache() {
+    clear();
+  }
+
+  BufferCache(const BufferCache&) = delete;
+  BufferCache& operator=(const BufferCache&) = delete;
+
+  T* reuse_from_cache(size_t size) {
+    // Find the closest buffer in pool.
+    auto it = buffer_pool_.lower_bound(size);
+    if (it == buffer_pool_.end() ||
+        it->first >= std::min(2 * size, size + 2 * page_size_)) {
+      return nullptr;
+    }
+
+    // Collect from the cache.
+    T* buf = it->second->buf;
+    pool_size_ -= it->first;
+
+    // Remove from record.
+    remove_from_list(it->second);
+    buffer_pool_.erase(it);
+    return buf;
+  }
+
+  void recycle_to_cache(T* buf) {
+    assert(buf);
+    // Add to cache.
+    BufferHolder* bh = new BufferHolder(buf);
+    add_at_head(bh);
+    size_t size = get_size_(buf);
+    pool_size_ += size;
+    buffer_pool_.emplace(size, bh);
+  }
+
+  int release_cached_buffers(size_t min_bytes_to_free) {
+    if (min_bytes_to_free >= 0.9 * pool_size_) {
+      return clear();
+    } else {
+      int n_release = 0;
+      size_t total_bytes_freed = 0;
+
+      while (tail_ && (total_bytes_freed < min_bytes_to_free)) {
+        // Release buffer.
+        size_t size = get_size_(tail_->buf);
+        total_bytes_freed += size;
+        free_(tail_->buf);
+        n_release++;
+
+        // Remove from record.
+        auto its = buffer_pool_.equal_range(size);
+        auto it = std::find_if(its.first, its.second, [this](const auto& el) {
+          return el.second == tail_;
+        });
+        assert(it != buffer_pool_.end());
+        buffer_pool_.erase(it);
+        remove_from_list(tail_);
+      }
+
+      pool_size_ -= total_bytes_freed;
+      return n_release;
+    }
+  }
+
+  int clear() {
+    int n_release = 0;
+    for (auto& [size, holder] : buffer_pool_) {
+      free_(holder->buf);
+      n_release++;
+      delete holder;
+    }
+    buffer_pool_.clear();
+    pool_size_ = 0;
+    head_ = nullptr;
+    tail_ = nullptr;
+    return n_release;
+  }
+
+  size_t cache_size() const {
+    return pool_size_;
+  }
+
+  size_t page_size() const {
+    return page_size_;
+  }
+
+ private:
+  struct BufferHolder {
+   public:
+    explicit BufferHolder(T* buf_) : buf(buf_) {}
+
+    BufferHolder* prev{nullptr};
+    BufferHolder* next{nullptr};
+    T* buf;
+  };
+
+  void add_at_head(BufferHolder* to_add) {
+    if (!head_) {
+      head_ = to_add;
+      tail_ = to_add;
+    } else {
+      head_->prev = to_add;
+      to_add->next = head_;
+      head_ = to_add;
+    }
+  }
+
+  void remove_from_list(BufferHolder* to_remove) {
+    if (to_remove->prev && to_remove->next) { // if middle
+      to_remove->prev->next = to_remove->next;
+      to_remove->next->prev = to_remove->prev;
+    } else if (to_remove->prev && to_remove == tail_) { // if tail
+      tail_ = to_remove->prev;
+      tail_->next = nullptr;
+    } else if (to_remove == head_ && to_remove->next) { // if head
+      head_ = to_remove->next;
+      head_->prev = nullptr;
+    } else if (to_remove == head_ && to_remove == tail_) { // if only element
+      head_ = nullptr;
+      tail_ = nullptr;
+    }
+
+    delete to_remove;
+  }
+
+  std::multimap<size_t, BufferHolder*> buffer_pool_;
+  BufferHolder* head_{nullptr};
+  BufferHolder* tail_{nullptr};
+  size_t pool_size_{0};
+
+  const size_t page_size_;
+  std::function<size_t(T*)> get_size_;
+  std::function<void(T*)> free_;
+};
+
+} // namespace mlx::core

mlx/backend/common/compiled.cpp

@@ -1,8 +1,7 @@
 // Copyright © 2023-2024 Apple Inc.
 
 #include "mlx/backend/common/compiled.h"
-#include "mlx/graph_utils.h"
-#include "mlx/primitives.h"
+#include "mlx/backend/common/utils.h"
 #include "mlx/utils.h"
 
 namespace mlx::core {
@@ -79,55 +78,6 @@ std::string get_type_string(Dtype d) {
   }
 }
 
-std::string build_lib_name(
-    const std::vector<array>& inputs,
-    const std::vector<array>& outputs,
-    const std::vector<array>& tape,
-    const std::unordered_set<uintptr_t>& constant_ids) {
-  NodeNamer namer;
-  std::ostringstream os;
-  std::ostringstream constant_hasher;
-
-  // Fill the input names. This is not really necessary, I just like having A,
-  // B, C, ... as the inputs.
-  for (auto& x : inputs) {
-    namer.get_name(x);
-  }
-
-  // The primitives describing the tape. For unary and binary primitives this
-  // must be enough to describe the full computation.
-  for (auto& a : tape) {
-    // name and type of output
-    os << namer.get_name(a) << kindof(a.dtype()) << a.itemsize();
-    // computation performed
-    a.primitive().print(os);
-    // name of inputs to the function
-    for (auto& inp : a.inputs()) {
-      os << namer.get_name(inp);
-    }
-  }
-  os << "_";
-
-  for (auto& x : inputs) {
-    if (constant_ids.find(x.id()) != constant_ids.end()) {
-      os << "C";
-      print_constant(constant_hasher, x);
-    } else {
-      os << (is_scalar(x) ? "S" : "V");
-    }
-  }
-  os << "_";
-  for (auto& x : inputs) {
-    if (constant_ids.find(x.id()) != constant_ids.end()) {
-      continue;
-    }
-    os << kindof(x.dtype()) << x.itemsize();
-  }
-  os << "_" << std::hash<std::string>{}(constant_hasher.str());
-
-  return os.str();
-}
-
 bool compiled_check_contiguity(
     const std::vector<array>& inputs,
     const Shape& shape) {
@@ -159,8 +109,7 @@ bool compiled_check_contiguity(
 void compiled_allocate_outputs(
     const std::vector<array>& inputs,
     std::vector<array>& outputs,
-    const std::vector<array>& inputs_,
-    const std::unordered_set<uintptr_t>& constant_ids_,
+    const std::function<bool(size_t)>& is_constant,
     bool contiguous) {
   if (contiguous) {
     int o = 0;
@@ -175,8 +124,7 @@ void compiled_allocate_outputs(
       // - Donatable
       // - Not a constant
       if (in.itemsize() == outputs[o].itemsize() && !is_scalar(in) &&
-          in.is_donatable() &&
-          constant_ids_.find(inputs_[i].id()) == constant_ids_.end()) {
+          in.is_donatable() && is_constant(i)) {
         outputs[o++].copy_shared_buffer(in);
       }
       // Get representative input flags to properly set non-donated outputs
@@ -204,7 +152,7 @@ void compiled_allocate_outputs(
       // - Not a constant
       if (in.flags().row_contiguous && in.size() == outputs[o].size() &&
           in.itemsize() == outputs[o].itemsize() && in.is_donatable() &&
-          constant_ids_.find(inputs_[i].id()) == constant_ids_.end()) {
+          is_constant(i)) {
         outputs[o].copy_shared_buffer(
             in, outputs[o].strides(), in.flags(), in.data_size());
         o++;
@@ -216,4 +164,74 @@ void compiled_allocate_outputs(
   }
 }
 
+std::tuple<bool, Shape, std::vector<Strides>> compiled_collapse_contiguous_dims(
+    const std::vector<array>& inputs,
+    const array& out,
+    const std::function<bool(size_t)>& is_constant) {
+  const Shape& shape = out.shape();
+  bool contiguous = compiled_check_contiguity(inputs, shape);
+  if (contiguous) {
+    return {true, shape, {}};
+  }
+
+  std::vector<Strides> strides_vec{out.strides()};
+  for (size_t i = 0; i < inputs.size(); ++i) {
+    // Skip constants.
+    if (is_constant(i)) {
+      continue;
+    }
+
+    // Skip scalar inputs.
+    const auto& x = inputs[i];
+    if (is_scalar(x)) {
+      continue;
+    }
+
+    // Broadcast the inputs to the output shape.
+    Strides xstrides;
+    size_t j = 0;
+    for (; j < shape.size() - x.ndim(); ++j) {
+      if (shape[j] == 1) {
+        xstrides.push_back(out.strides()[j]);
+      } else {
+        xstrides.push_back(0);
+      }
+    }
+    for (size_t i = 0; i < x.ndim(); ++i, ++j) {
+      if (x.shape(i) == 1) {
+        if (shape[j] == 1) {
+          xstrides.push_back(out.strides()[j]);
+        } else {
+          xstrides.push_back(0);
+        }
+      } else {
+        xstrides.push_back(x.strides()[i]);
+      }
+    }
+    strides_vec.push_back(std::move(xstrides));
+  }
+
+  auto tup = collapse_contiguous_dims(shape, strides_vec, INT32_MAX);
+  return {false, std::move(std::get<0>(tup)), std::move(std::get<1>(tup))};
+}
+
+bool compiled_use_large_index(
+    const std::vector<array>& inputs,
+    const std::vector<array>& outputs,
+    bool contiguous) {
+  if (contiguous) {
+    size_t max_size = 0;
+    for (const auto& in : inputs) {
+      max_size = std::max(max_size, in.data_size());
+    }
+    return max_size > UINT32_MAX;
+  } else {
+    size_t max_size = 0;
+    for (const auto& o : outputs) {
+      max_size = std::max(max_size, o.size());
+    }
+    return max_size > UINT32_MAX;
+  }
+}
+
 } // namespace mlx::core

mlx/backend/common/compiled.h

@@ -1,9 +1,8 @@
 // Copyright © 2023-2024 Apple Inc.
 #pragma once
 
+#include <functional>
 #include <iomanip>
-#include <sstream>
-#include <unordered_set>
 
 #include "mlx/array.h"
 #include "mlx/primitives.h"
@@ -14,12 +13,6 @@ inline bool is_static_cast(const Primitive& p) {
   return (typeid(p) == typeid(Broadcast) || typeid(p) == typeid(AsType));
 }
 
-std::string build_lib_name(
-    const std::vector<array>& inputs,
-    const std::vector<array>& outputs,
-    const std::vector<array>& tape,
-    const std::unordered_set<uintptr_t>& constant_ids);
-
 std::string get_type_string(Dtype d);
 
 template <typename T>
@@ -60,8 +53,19 @@ bool compiled_check_contiguity(
 void compiled_allocate_outputs(
     const std::vector<array>& inputs,
     std::vector<array>& outputs,
-    const std::vector<array>& inputs_,
-    const std::unordered_set<uintptr_t>& constant_ids_,
+    const std::function<bool(size_t)>& is_constant,
+    bool contiguous);
+
+// Collapse contiguous dims ignoring scalars and constants.
+std::tuple<bool, Shape, std::vector<Strides>> compiled_collapse_contiguous_dims(
+    const std::vector<array>& inputs,
+    const array& out,
+    const std::function<bool(size_t)>& is_constant);
+
+// Return whether the kernel should use large index.
+bool compiled_use_large_index(
+    const std::vector<array>& inputs,
+    const std::vector<array>& outputs,
     bool contiguous);
 
 } // namespace mlx::core

mlx/backend/common/copy.h

@@ -2,7 +2,7 @@
 
 #pragma once
 
-#include "mlx/array.h"
+#include "mlx/backend/common/utils.h"
 
 namespace mlx::core {
 
@@ -26,7 +26,7 @@ inline bool set_copy_output_data(const array& in, array& out, CopyType ctype) {
   if (ctype == CopyType::Vector) {
     // If the input is donateable, we are doing a vector copy and the types
     // have the same size, then the input buffer can hold the output.
-    if (in.is_donatable() && in.itemsize() == out.itemsize()) {
+    if (is_donatable(in, out)) {
       out.copy_shared_buffer(in);
       return true;
     } else {

mlx/backend/common/matmul.h

@@ -0,0 +1,78 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include "mlx/backend/common/utils.h"
+#include "mlx/utils.h"
+
+#include <sstream>
+
+namespace mlx::core {
+
+inline std::tuple<Shape, Strides, Strides> collapse_batches(
+    const array& a,
+    const array& b) {
+  // Get and check the shape for the batched dims
+  Shape A_bshape{a.shape().begin(), a.shape().end() - 2};
+  Shape B_bshape{b.shape().begin(), b.shape().end() - 2};
+  if (A_bshape != B_bshape) {
+    std::ostringstream msg;
+    msg << "[matmul] Got matrices with incorrectly broadcasted shapes: " << "A "
+        << a.shape() << ", B " << b.shape() << ".";
+    throw std::runtime_error(msg.str());
+  }
+
+  Strides A_bstride{a.strides().begin(), a.strides().end() - 2};
+  Strides B_bstride{b.strides().begin(), b.strides().end() - 2};
+
+  auto [batch_shape, batch_strides] =
+      collapse_contiguous_dims(A_bshape, std::vector{A_bstride, B_bstride});
+
+  auto a_batch_strides = batch_strides[0];
+  auto b_batch_strides = batch_strides[1];
+
+  if (batch_shape.empty()) {
+    batch_shape.push_back(1);
+    a_batch_strides.push_back(0);
+    b_batch_strides.push_back(0);
+  }
+
+  return std::make_tuple(batch_shape, a_batch_strides, b_batch_strides);
+}
+
+inline std::tuple<Shape, Strides, Strides, Strides>
+collapse_batches(const array& a, const array& b, const array& c) {
+  // Get and check the shape for the batched dims
+  Shape A_bshape{a.shape().begin(), a.shape().end() - 2};
+  Shape B_bshape{b.shape().begin(), b.shape().end() - 2};
+  Shape C_bshape{c.shape().begin(), c.shape().end() - 2};
+  if (A_bshape != B_bshape || A_bshape != C_bshape) {
+    std::ostringstream msg;
+    msg << "[addmm] Got matrices with incorrectly broadcasted shapes: " << "A "
+        << a.shape() << ", B " << b.shape() << ", B " << c.shape() << ".";
+    throw std::runtime_error(msg.str());
+  }
+
+  Strides A_bstride{a.strides().begin(), a.strides().end() - 2};
+  Strides B_bstride{b.strides().begin(), b.strides().end() - 2};
+  Strides C_bstride{c.strides().begin(), c.strides().end() - 2};
+
+  auto [batch_shape, batch_strides] = collapse_contiguous_dims(
+      A_bshape, std::vector{A_bstride, B_bstride, C_bstride});
+
+  auto A_batch_stride = batch_strides[0];
+  auto B_batch_stride = batch_strides[1];
+  auto C_batch_stride = batch_strides[2];
+
+  if (batch_shape.empty()) {
+    batch_shape.push_back(1);
+    A_batch_stride.push_back(0);
+    B_batch_stride.push_back(0);
+    C_batch_stride.push_back(0);
+  }
+
+  return std::make_tuple(
+      batch_shape, A_batch_stride, B_batch_stride, C_batch_stride);
+}
+
+} // namespace mlx::core

mlx/backend/common/unary.h

@@ -0,0 +1,26 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include "mlx/allocator.h"
+#include "mlx/backend/common/utils.h"
+
+namespace mlx::core {
+
+inline void set_unary_output_data(const array& in, array& out) {
+  if (in.flags().contiguous) {
+    if (is_donatable(in, out)) {
+      out.copy_shared_buffer(in);
+    } else {
+      out.set_data(
+          allocator::malloc(in.data_size() * out.itemsize()),
+          in.data_size(),
+          in.strides(),
+          in.flags());
+    }
+  } else {
+    out.set_data(allocator::malloc(out.nbytes()));
+  }
+}
+
+} // namespace mlx::core

mlx/backend/common/utils.cpp

@@ -1,9 +1,16 @@
 // Copyright © 2023-2024 Apple Inc.
 
 #include "mlx/backend/common/utils.h"
+#include "mlx/primitives.h"
 
 namespace mlx::core {
 
+std::string get_primitive_string(Primitive* primitive) {
+  std::ostringstream op_t;
+  primitive->print(op_t);
+  return op_t.str();
+}
+
 std::tuple<Shape, std::vector<Strides>> collapse_contiguous_dims(
     const Shape& shape,
     const std::vector<Strides>& strides,
@@ -101,4 +108,115 @@ std::pair<Shape, Strides> collapse_contiguous_dims(
   return collapse_contiguous_dims(a.shape(), a.strides(), size_cap);
 }
 
+Dims get_block_dims_common(int dim0, int dim1, int dim2, int pow2 /* = 10 */) {
+  int pows[3] = {0, 0, 0};
+  int sum = 0;
+  while (true) {
+    int presum = sum;
+    // Check all the pows
+    if (dim0 >= (1 << (pows[0] + 1))) {
+      pows[0]++;
+      sum++;
+    }
+    if (sum == 10) {
+      break;
+    }
+    if (dim1 >= (1 << (pows[1] + 1))) {
+      pows[1]++;
+      sum++;
+    }
+    if (sum == 10) {
+      break;
+    }
+    if (dim2 >= (1 << (pows[2] + 1))) {
+      pows[2]++;
+      sum++;
+    }
+    if (sum == presum || sum == pow2) {
+      break;
+    }
+  }
+  return std::make_tuple(1ul << pows[0], 1ul << pows[1], 1ul << pows[2]);
+}
+
+Dims get_2d_grid_dims_common(const Shape& shape, const Strides& strides) {
+  // Dims with strides of 0 are ignored as they
+  // correspond to broadcasted dimensions
+  size_t grid_x = 1;
+  size_t grid_y = 1;
+  for (int i = 0; i < shape.size(); ++i) {
+    if (strides[i] == 0) {
+      continue;
+    }
+    if (grid_x * shape[i] < UINT32_MAX) {
+      grid_x *= shape[i];
+    } else {
+      grid_y *= shape[i];
+    }
+  }
+  if (grid_y > UINT32_MAX || grid_x > UINT32_MAX) {
+    throw std::runtime_error("Unable to safely factor shape.");
+  }
+  if (grid_y > grid_x) {
+    std::swap(grid_x, grid_y);
+  }
+  return std::make_tuple(
+      static_cast<uint32_t>(grid_x), static_cast<uint32_t>(grid_y), 1);
+}
+
+Dims get_2d_grid_dims_common(
+    const Shape& shape,
+    const Strides& strides,
+    size_t divisor) {
+  // Compute the 2d grid dimensions such that the total size of the grid is
+  // divided by divisor.
+  size_t grid_x = 1;
+  size_t grid_y = 1;
+  for (int i = 0; i < shape.size(); ++i) {
+    if (strides[i] == 0) {
+      continue;
+    }
+
+    // No need to add this shape we can just remove it from the divisor.
+    if (divisor % shape[i] == 0) {
+      divisor /= shape[i];
+      continue;
+    }
+
+    if (grid_x * shape[i] < UINT32_MAX) {
+      grid_x *= shape[i];
+    } else {
+      grid_y *= shape[i];
+    }
+
+    if (divisor > 1) {
+      if (grid_x % divisor == 0) {
+        grid_x /= divisor;
+        divisor = 1;
+      } else if (grid_y % divisor == 0) {
+        grid_y /= divisor;
+        divisor = 1;
+      }
+    }
+  }
+  if (grid_y > UINT32_MAX || grid_x > UINT32_MAX || divisor > 1) {
+    throw std::runtime_error("Unable to safely factor shape.");
+  }
+  if (grid_y > grid_x) {
+    std::swap(grid_x, grid_y);
+  }
+  return std::make_tuple(
+      static_cast<uint32_t>(grid_x), static_cast<uint32_t>(grid_y), 1);
+}
+
+std::pair<Dims, Dims> get_grid_and_block_common(int dim0, int dim1, int dim2) {
+  auto [bx, by, bz] = get_block_dims_common(dim0, dim1, dim2);
+  auto gx = (dim0 + bx - 1) / bx;
+  auto gy = (dim1 + by - 1) / by;
+  auto gz = (dim2 + bz - 1) / bz;
+
+  return std::make_pair(
+      std::make_tuple(gx, gy, gz), std::make_tuple(bx, by, bz));
+}
+
 } // namespace mlx::core

mlx/backend/common/utils.h

@@ -2,12 +2,15 @@
 
 #pragma once
 
+#include <tuple>
 #include <vector>
 
 #include "mlx/array.h"
 
 namespace mlx::core {
 
+std::string get_primitive_string(Primitive* primitive);
+
 inline int64_t
 elem_to_loc(int elem, const Shape& shape, const Strides& strides) {
   int64_t loc = 0;
@@ -70,6 +73,31 @@ std::pair<Shape, Strides> collapse_contiguous_dims(
     const array& a,
     int64_t size_cap = std::numeric_limits<int32_t>::max());
 
+// Compute the thread block dimensions which fit the given
+// input dimensions.
+// - The thread block dimensions will be powers of two
+// - The thread block size will be less than 2^pow2
+using Dims = std::tuple<uint32_t, uint32_t, uint32_t>;
+Dims get_block_dims_common(int dim0, int dim1, int dim2, int pow2 = 10);
+
+// Computes a 2D grid where each element is < UINT_MAX
+// Assumes:
+// - overall size (product of non-broadcasted dimensions) is < UINT_MAX^2
+// - shape and strides correspond to a contiguous (no holes) but
+//   possibly broadcasted array
+Dims get_2d_grid_dims_common(const Shape& shape, const Strides& strides);
+
+// Same as above but we do an implicit division with divisor.
+// Basically, equivalent to factorizing
+//    Prod(s \forall s in shape if strides[s] > 0) / divisor.
+Dims get_2d_grid_dims_common(
+    const Shape& shape,
+    const Strides& strides,
+    size_t divisor);
+
+// Get both the block and a grid of blocks that covers dim0, dim1 and dim2.
+std::pair<Dims, Dims> get_grid_and_block_common(int dim0, int dim1, int dim2);
+
 struct ContiguousIterator {
   inline void step() {
     int dims = shape_.size();
@@ -165,4 +193,11 @@ void shared_buffer_reshape(
     const array& in,
     const Strides& out_strides,
     array& out);
+
+template <typename T>
+inline std::vector<T> remove_index(std::vector<T> vec, size_t index) {
+  vec.erase(std::next(vec.begin(), index));
+  return vec;
+}
+
 } // namespace mlx::core

mlx/backend/cpu/CMakeLists.txt

@@ -46,6 +46,7 @@ target_sources(
           ${CMAKE_CURRENT_SOURCE_DIR}/conv.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/copy.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/distributed.cpp
+          ${CMAKE_CURRENT_SOURCE_DIR}/eig.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/eigh.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/encoder.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/fft.cpp

mlx/backend/cpu/arg_reduce.cpp

@@ -14,10 +14,8 @@ template <typename InT, typename OpT>
 void arg_reduce(const array& in, array& out, const OpT& op, int axis) {
   auto axis_size = in.shape()[axis];
   auto axis_stride = in.strides()[axis];
-  Strides strides = in.strides();
-  Shape shape = in.shape();
-  strides.erase(strides.begin() + axis);
-  shape.erase(shape.begin() + axis);
+  Strides strides = remove_index(in.strides(), axis);
+  Shape shape = remove_index(in.shape(), axis);
   auto in_ptr = in.data<InT>();
   auto out_ptr = out.data<uint32_t>();
 

mlx/backend/cpu/compiled.cpp

@@ -146,18 +146,9 @@ inline void build_kernel(
     const std::vector<array>& inputs,
     const std::vector<array>& outputs,
     const std::vector<array>& tape,
-    const std::unordered_set<uintptr_t>& constant_ids,
+    const std::function<bool(size_t)>& is_constant,
     bool contiguous,
     int ndim) {
-  // All outputs should have the exact same shape and will be row contiguous
-  auto output_shape = outputs[0].shape();
-  auto output_strides = outputs[0].strides();
-
-  // Constants are scalars that are captured by value and cannot change
-  auto is_constant = [&constant_ids](const array& x) {
-    return constant_ids.find(x.id()) != constant_ids.end();
-  };
-
   NodeNamer namer;
 
 #ifdef _MSC_VER
@@ -170,14 +161,15 @@ inline void build_kernel(
 
   // Add the input arguments
   int cnt = 0;
-  for (auto& x : inputs) {
-    auto& xname = namer.get_name(x);
-
+  for (size_t i = 0; i < inputs.size(); ++i) {
     // Skip constants from the input list
-    if (is_constant(x)) {
+    if (is_constant(i)) {
       continue;
     }
 
+    const auto& x = inputs[i];
+    auto& xname = namer.get_name(x);
+
     auto tstr = get_type_string(x.dtype());
     os << "  " << tstr << "* " << xname << " = (" << tstr << "*)args[" << cnt++
        << "];" << std::endl;
@@ -211,10 +203,11 @@ inline void build_kernel(
   }
 
   // Read the inputs in tmps
-  for (auto& x : inputs) {
+  for (size_t i = 0; i < inputs.size(); ++i) {
+    const auto& x = inputs[i];
     auto& xname = namer.get_name(x);
 
-    if (is_constant(x)) {
+    if (is_constant(i)) {
       os << "  " << get_type_string(x.dtype()) << " tmp_" << xname << " = ";
       print_constant(os, x);
       os << ";" << std::endl;
@@ -264,8 +257,9 @@ inline void build_kernel(
   } else {
     for (int d = ndim - 1; d >= 0; --d) {
       // Update pointers
-      for (auto& x : inputs) {
-        if (is_constant(x) || is_scalar(x)) {
+      for (size_t i = 0; i < inputs.size(); ++i) {
+        const auto& x = inputs[i];
+        if (is_constant(i) || is_scalar(x)) {
           continue;
         }
         auto& xname = namer.get_name(x);
@@ -287,65 +281,37 @@ inline void build_kernel(
 void Compiled::eval_cpu(
     const std::vector<array>& inputs,
     std::vector<array>& outputs) {
-  if (kernel_lib_.empty()) {
-    kernel_lib_ = build_lib_name(inputs_, outputs_, tape_, constant_ids_);
-  }
-
-  // Figure out which kernel we are using
-  auto& shape = outputs[0].shape();
-  auto contiguous = compiled_check_contiguity(inputs, shape);
   auto& encoder = cpu::get_command_encoder(stream());
 
-  // Handle all broadcasting and collect function input arguments
+  // Collapse contiguous dims to route to a faster kernel if possible. Also
+  // handle all broadcasting.
+  auto [contiguous, shape, strides] =
+      compiled_collapse_contiguous_dims(inputs, outputs[0], is_constant_);
+
+  // Collect function input arguments.
   std::vector<void*> args;
-  std::vector<std::vector<size_t>> strides;
-  for (int i = 0; i < inputs.size(); i++) {
-    // Skip constants.
-    if (constant_ids_.find(inputs_[i].id()) != constant_ids_.end()) {
+  int strides_index = 1;
+  for (size_t i = 0; i < inputs.size(); ++i) {
+    if (is_constant_(i)) {
       continue;
     }
-    auto& x = inputs[i];
+    const auto& x = inputs[i];
     encoder.set_input_array(x);
     args.push_back((void*)x.data<void>());
-
-    if (contiguous || is_scalar(x)) {
-      continue;
+    if (!contiguous && !is_scalar(x)) {
+      args.push_back(strides[strides_index++].data());
     }
-
-    // Broadcast the input to the output shape.
-    std::vector<size_t> xstrides;
-    int j = 0;
-    for (; j < shape.size() - x.ndim(); j++) {
-      if (shape[j] == 1) {
-        xstrides.push_back(outputs[0].strides()[j]);
-      } else {
-        xstrides.push_back(0);
-      }
-    }
-    for (int i = 0; i < x.ndim(); i++, j++) {
-      if (x.shape(i) == 1) {
-        if (shape[j] == 1) {
-          xstrides.push_back(outputs[0].strides()[j]);
-        } else {
-          xstrides.push_back(0);
-        }
-      } else {
-        xstrides.push_back(x.strides()[i]);
-      }
-    }
-    strides.push_back(std::move(xstrides));
-    args.push_back(strides.back().data());
   }
 
   // Get the kernel name from the lib
   int ndim = shape.size();
   auto kernel_name = kernel_lib_ + (contiguous ? "_contiguous" : "_strided_");
   if (!contiguous) {
-    kernel_name += std::to_string(shape.size());
+    kernel_name += std::to_string(ndim);
   }
 
   // Get the function
-  auto fn_ptr = compile(kernel_name, [&]() {
+  auto fn_ptr = compile(kernel_name, [&, contiguous = contiguous]() {
     std::ostringstream kernel;
     kernel << get_kernel_preamble() << std::endl;
     kernel << "extern \"C\"  {" << std::endl;
@@ -355,7 +321,7 @@ void Compiled::eval_cpu(
         inputs_,
         outputs_,
         tape_,
-        constant_ids_,
+        is_constant_,
         contiguous,
         ndim);
     // Close extern "C"
@@ -363,26 +329,22 @@ void Compiled::eval_cpu(
     return kernel.str();
   });
 
-  compiled_allocate_outputs(
-      inputs, outputs, inputs_, constant_ids_, contiguous);
+  compiled_allocate_outputs(inputs, outputs, is_constant_, contiguous);
 
   for (auto& x : outputs) {
     args.push_back(x.data<void>());
     encoder.set_output_array(x);
   }
-  Shape out_shape;
   if (!contiguous) {
-    out_shape = outputs[0].shape();
-    args.push_back((void*)out_shape.data());
+    args.push_back((void*)shape.data());
   } else {
     args.push_back((void*)outputs[0].data_size());
   }
   auto fun = (void (*)(void**))fn_ptr;
-  encoder.dispatch(
-      [fun,
-       args = std::move(args),
-       strides = std::move(strides),
-       out_shape = std::move(out_shape)]() mutable { fun(args.data()); });
+  encoder.dispatch([fun,
+                    args = std::move(args),
+                    strides = std::move(strides),
+                    shape = std::move(shape)]() mutable { fun(args.data()); });
 }
 
 } // namespace mlx::core

mlx/backend/cpu/eig.cpp

@@ -0,0 +1,174 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/allocator.h"
+#include "mlx/array.h"
+#include "mlx/backend/cpu/copy.h"
+#include "mlx/backend/cpu/encoder.h"
+#include "mlx/backend/cpu/lapack.h"
+#include "mlx/linalg.h"
+#include "mlx/primitives.h"
+
+namespace mlx::core {
+
+namespace {
+
+template <typename T>
+void eig_impl(
+    array& a,
+    array& vectors,
+    array& values,
+    bool compute_eigenvectors,
+    Stream stream) {
+  using OT = std::complex<T>;
+  auto a_ptr = a.data<T>();
+  auto eig_ptr = values.data<OT>();
+
+  auto& encoder = cpu::get_command_encoder(stream);
+  encoder.set_input_array(a);
+  encoder.set_output_array(values);
+  OT* vec_ptr = nullptr;
+  if (compute_eigenvectors) {
+    encoder.set_output_array(vectors);
+    vec_ptr = vectors.data<OT>();
+  }
+  encoder.dispatch([a_ptr,
+                    vec_ptr,
+                    eig_ptr,
+                    compute_eigenvectors,
+                    N = vectors.shape(-1),
+                    size = vectors.size()]() mutable {
+    // Work query
+    char jobr = 'N';
+    char jobl = compute_eigenvectors ? 'V' : 'N';
+    int n_vecs_r = 1;
+    int n_vecs_l = compute_eigenvectors ? N : 1;
+    int lwork = -1;
+    int info;
+    {
+      T work;
+      int iwork;
+      geev<T>(
+          &jobl,
+          &jobr,
+          &N,
+          nullptr,
+          &N,
+          nullptr,
+          nullptr,
+          nullptr,
+          &n_vecs_l,
+          nullptr,
+          &n_vecs_r,
+          &work,
+          &lwork,
+          &info);
+      lwork = static_cast<int>(work);
+    }
+
+    auto eig_tmp_data = array::Data{allocator::malloc(sizeof(T) * N * 2)};
+    auto vec_tmp_data =
+        array::Data{allocator::malloc(vec_ptr ? sizeof(T) * N * N * 2 : 0)};
+    auto eig_tmp = static_cast<T*>(eig_tmp_data.buffer.raw_ptr());
+    auto vec_tmp = static_cast<T*>(vec_tmp_data.buffer.raw_ptr());
+    auto work_buf = array::Data{allocator::malloc(sizeof(T) * lwork)};
+    for (size_t i = 0; i < size / (N * N); ++i) {
+      geev<T>(
+          &jobl,
+          &jobr,
+          &N,
+          a_ptr,
+          &N,
+          eig_tmp,
+          eig_tmp + N,
+          vec_tmp,
+          &n_vecs_l,
+          nullptr,
+          &n_vecs_r,
+          static_cast<T*>(work_buf.buffer.raw_ptr()),
+          &lwork,
+          &info);
+      for (int i = 0; i < N; ++i) {
+        eig_ptr[i] = {eig_tmp[i], eig_tmp[N + i]};
+      }
+      if (vec_ptr) {
+        for (int i = 0; i < N; ++i) {
+          if (eig_ptr[i].imag() != 0) {
+            // This vector and the next are a pair
+            for (int j = 0; j < N; ++j) {
+              vec_ptr[i * N + j] = {
+                  vec_tmp[i * N + j], -vec_tmp[(i + 1) * N + j]};
+              vec_ptr[(i + 1) * N + j] = {
+                  vec_tmp[i * N + j], vec_tmp[(i + 1) * N + j]};
+            }
+            i += 1;
+          } else {
+            for (int j = 0; j < N; ++j) {
+              vec_ptr[i * N + j] = {vec_tmp[i * N + j], 0};
+            }
+          }
+        }
+        vec_ptr += N * N;
+      }
+      a_ptr += N * N;
+      eig_ptr += N;
+      if (info != 0) {
+        std::stringstream msg;
+        msg << "[Eig::eval_cpu] Eigenvalue decomposition failed with error code "
+            << info;
+        throw std::runtime_error(msg.str());
+      }
+    }
+  });
+  encoder.add_temporary(a);
+}
+
+} // namespace
+
+void Eig::eval_cpu(
+    const std::vector<array>& inputs,
+    std::vector<array>& outputs) {
+  const auto& a = inputs[0];
+  auto& values = outputs[0];
+
+  auto vectors = compute_eigenvectors_
+      ? outputs[1]
+      : array(a.shape(), complex64, nullptr, {});
+
+  auto a_copy = array(a.shape(), a.dtype(), nullptr, {});
+  copy(
+      a,
+      a_copy,
+      a.flags().row_contiguous ? CopyType::Vector : CopyType::General,
+      stream());
+
+  values.set_data(allocator::malloc(values.nbytes()));
+
+  if (compute_eigenvectors_) {
+    // Set the strides and flags so the eigenvectors
+    // are in the columns of the output
+    auto flags = vectors.flags();
+    auto strides = vectors.strides();
+    auto ndim = a.ndim();
+    std::swap(strides[ndim - 1], strides[ndim - 2]);
+
+    if (a.size() > 1) {
+      flags.row_contiguous = false;
+      if (ndim > 2) {
+        flags.col_contiguous = false;
+      } else {
+        flags.col_contiguous = true;
+      }
+    }
+    vectors.set_data(
+        allocator::malloc(vectors.nbytes()), vectors.size(), strides, flags);
+  }
+  switch (a.dtype()) {
+    case float32:
+      eig_impl<float>(a_copy, vectors, values, compute_eigenvectors_, stream());
+      break;
+    default:
+      throw std::runtime_error("[Eig::eval_cpu] only supports float32.");
+  }
+}
+
+} // namespace mlx::core

mlx/backend/cpu/eigh.cpp

@@ -12,6 +12,133 @@ namespace mlx::core {
 
 namespace {
 
+template <typename T, class Enable = void>
+struct EighWork {};
+
+template <typename T>
+struct EighWork<
+    T,
+    typename std::enable_if<std::is_floating_point<T>::value>::type> {
+  using R = T;
+
+  char jobz;
+  char uplo;
+  int N;
+  int lwork;
+  int liwork;
+  int info;
+  std::vector<array::Data> buffers;
+
+  EighWork(char jobz_, char uplo_, int N_)
+      : jobz(jobz_), uplo(uplo_), N(N_), lwork(-1), liwork(-1) {
+    T work;
+    int iwork;
+    syevd<T>(
+        &jobz,
+        &uplo,
+        &N,
+        nullptr,
+        &N,
+        nullptr,
+        &work,
+        &lwork,
+        &iwork,
+        &liwork,
+        &info);
+    lwork = static_cast<int>(work);
+    liwork = iwork;
+    buffers.emplace_back(allocator::malloc(sizeof(T) * lwork));
+    buffers.emplace_back(allocator::malloc(sizeof(int) * liwork));
+  }
+
+  void run(T* vectors, T* values) {
+    syevd<T>(
+        &jobz,
+        &uplo,
+        &N,
+        vectors,
+        &N,
+        values,
+        static_cast<T*>(buffers[0].buffer.raw_ptr()),
+        &lwork,
+        static_cast<int*>(buffers[1].buffer.raw_ptr()),
+        &liwork,
+        &info);
+  }
+};
+
+template <>
+struct EighWork<std::complex<float>> {
+  using T = std::complex<float>;
+  using R = float;
+
+  char jobz;
+  char uplo;
+  int N;
+  int lwork;
+  int lrwork;
+  int liwork;
+  int info;
+  std::vector<array::Data> buffers;
+
+  EighWork(char jobz_, char uplo_, int N_)
+      : jobz(jobz_), uplo(uplo_), N(N_), lwork(-1), lrwork(-1), liwork(-1) {
+    T work;
+    R rwork;
+    int iwork;
+    heevd<T>(
+        &jobz,
+        &uplo,
+        &N,
+        nullptr,
+        &N,
+        nullptr,
+        &work,
+        &lwork,
+        &rwork,
+        &lrwork,
+        &iwork,
+        &liwork,
+        &info);
+    lwork = static_cast<int>(work.real());
+    lrwork = static_cast<int>(rwork);
+    liwork = iwork;
+    buffers.emplace_back(allocator::malloc(sizeof(T) * lwork));
+    buffers.emplace_back(allocator::malloc(sizeof(R) * lrwork));
+    buffers.emplace_back(allocator::malloc(sizeof(int) * liwork));
+  }
+
+  void run(T* vectors, R* values) {
+    heevd<T>(
+        &jobz,
+        &uplo,
+        &N,
+        vectors,
+        &N,
+        values,
+        static_cast<T*>(buffers[0].buffer.raw_ptr()),
+        &lwork,
+        static_cast<R*>(buffers[1].buffer.raw_ptr()),
+        &lrwork,
+        static_cast<int*>(buffers[2].buffer.raw_ptr()),
+        &liwork,
+        &info);
+    if (jobz == 'V') {
+      // We have pre-transposed the vectors but we also must conjugate them
+      // when they are complex.
+      //
+      // We could vectorize this but it is so fast in comparison to heevd that
+      // it doesn't really matter.
+      for (int i = 0; i < N; i++) {
+        for (int j = 0; j < N; j++) {
+          *vectors = std::conj(*vectors);
+          vectors++;
+        }
+      }
+    }
+  }
+};
+
 template <typename T>
 void eigh_impl(
     array& vectors,
@@ -19,8 +146,10 @@ void eigh_impl(
     const std::string& uplo,
     bool compute_eigenvectors,
     Stream stream) {
+  using R = typename EighWork<T>::R;
+
   auto vec_ptr = vectors.data<T>();
-  auto eig_ptr = values.data<T>();
+  auto eig_ptr = values.data<R>();
   char jobz = compute_eigenvectors ? 'V' : 'N';
 
   auto& encoder = cpu::get_command_encoder(stream);
@@ -33,49 +162,17 @@ void eigh_impl(
                     N = vectors.shape(-1),
                     size = vectors.size()]() mutable {
     // Work query
-    int lwork = -1;
-    int liwork = -1;
-    int info;
-    {
-      T work;
-      int iwork;
-      syevd<T>(
-          &jobz,
-          &uplo,
-          &N,
-          nullptr,
-          &N,
-          nullptr,
-          &work,
-          &lwork,
-          &iwork,
-          &liwork,
-          &info);
-      lwork = static_cast<int>(work);
-      liwork = iwork;
-    }
+    EighWork<T> work(jobz, uplo, N);
 
-    auto work_buf = array::Data{allocator::malloc(sizeof(T) * lwork)};
-    auto iwork_buf = array::Data{allocator::malloc(sizeof(int) * liwork)};
+    // Work loop
     for (size_t i = 0; i < size / (N * N); ++i) {
-      syevd<T>(
-          &jobz,
-          &uplo,
-          &N,
-          vec_ptr,
-          &N,
-          eig_ptr,
-          static_cast<T*>(work_buf.buffer.raw_ptr()),
-          &lwork,
-          static_cast<int*>(iwork_buf.buffer.raw_ptr()),
-          &liwork,
-          &info);
+      work.run(vec_ptr, eig_ptr);
       vec_ptr += N * N;
       eig_ptr += N;
-      if (info != 0) {
+      if (work.info != 0) {
         std::stringstream msg;
         msg << "[Eigh::eval_cpu] Eigenvalue decomposition failed with error code "
-            << info;
+            << work.info;
         throw std::runtime_error(msg.str());
       }
     }
@@ -131,6 +228,10 @@ void Eigh::eval_cpu(
       eigh_impl<double>(
           vectors, values, uplo_, compute_eigenvectors_, stream());
       break;
+    case complex64:
+      eigh_impl<std::complex<float>>(
+          vectors, values, uplo_, compute_eigenvectors_, stream());
+      break;
     default:
       throw std::runtime_error(
           "[Eigh::eval_cpu] only supports float32 or float64.");

mlx/backend/cpu/indexing.cpp

@@ -257,15 +257,11 @@ void gather_axis(
     const array& ind,
     array& out,
     const int axis) {
-  auto strides = ind.strides();
-  strides.erase(strides.begin() + axis);
-  auto shape = ind.shape();
-  shape.erase(shape.begin() + axis);
-  ContiguousIterator ind_it(shape, strides, src.ndim() - 1);
-
-  strides = src.strides();
-  strides.erase(strides.begin() + axis);
-  ContiguousIterator src_it(shape, strides, src.ndim() - 1);
+  auto shape = remove_index(ind.shape(), axis);
+  ContiguousIterator ind_it(
+      shape, remove_index(ind.strides(), axis), src.ndim() - 1);
+  ContiguousIterator src_it(
+      shape, remove_index(src.strides(), axis), src.ndim() - 1);
 
   auto ind_ptr = ind.data<IdxT>();
   auto src_ptr = src.data<T>();
@@ -585,15 +581,11 @@ void Scatter::eval_cpu(const std::vector<array>& inputs, array& out) {
 
 template <typename T, typename IdxT, typename OpT>
 void scatter_axis(array& out, const array idx, const array& upd, int axis) {
-  auto strides = idx.strides();
-  strides.erase(strides.begin() + axis);
-  auto shape = idx.shape();
-  shape.erase(shape.begin() + axis);
-  ContiguousIterator idx_it(shape, strides, upd.ndim() - 1);
-
-  strides = upd.strides();
-  strides.erase(strides.begin() + axis);
-  ContiguousIterator upd_it(shape, strides, upd.ndim() - 1);
+  auto shape = remove_index(idx.shape(), axis);
+  ContiguousIterator idx_it(
+      shape, remove_index(idx.strides(), axis), upd.ndim() - 1);
+  ContiguousIterator upd_it(
+      shape, remove_index(upd.strides(), axis), upd.ndim() - 1);
 
   auto idx_ptr = idx.data<IdxT>();
   auto upd_ptr = upd.data<T>();

mlx/backend/cpu/lapack.h

@@ -2,14 +2,14 @@
 
 #pragma once
 
-// Required for Visual Studio.
-// https://github.com/OpenMathLib/OpenBLAS/blob/develop/docs/install.md
-#ifdef _MSC_VER
 #include <complex>
 #define LAPACK_COMPLEX_CUSTOM
 #define lapack_complex_float std::complex<float>
 #define lapack_complex_double std::complex<double>
-#endif
+#define lapack_complex_float_real(z) ((z).real())
+#define lapack_complex_float_imag(z) ((z).imag())
+#define lapack_complex_double_real(z) ((z).real())
+#define lapack_complex_double_imag(z) ((z).imag())
 
 #ifdef MLX_USE_ACCELERATE
 #include <Accelerate/Accelerate.h>
@@ -32,7 +32,7 @@
 
 #endif
 
-#define INSTANTIATE_LAPACK_TYPES(FUNC)                       \
+#define INSTANTIATE_LAPACK_REAL(FUNC)                        \
   template <typename T, typename... Args>                    \
   void FUNC(Args... args) {                                  \
     if constexpr (std::is_same_v<T, float>) {                \
@@ -42,11 +42,24 @@
     }                                                        \
   }
 
-INSTANTIATE_LAPACK_TYPES(geqrf)
-INSTANTIATE_LAPACK_TYPES(orgqr)
-INSTANTIATE_LAPACK_TYPES(syevd)
-INSTANTIATE_LAPACK_TYPES(potrf)
-INSTANTIATE_LAPACK_TYPES(gesvdx)
-INSTANTIATE_LAPACK_TYPES(getrf)
-INSTANTIATE_LAPACK_TYPES(getri)
-INSTANTIATE_LAPACK_TYPES(trtri)
+INSTANTIATE_LAPACK_REAL(geqrf)
+INSTANTIATE_LAPACK_REAL(orgqr)
+INSTANTIATE_LAPACK_REAL(syevd)
+INSTANTIATE_LAPACK_REAL(geev)
+INSTANTIATE_LAPACK_REAL(potrf)
+INSTANTIATE_LAPACK_REAL(gesvdx)
+INSTANTIATE_LAPACK_REAL(getrf)
+INSTANTIATE_LAPACK_REAL(getri)
+INSTANTIATE_LAPACK_REAL(trtri)
+
+#define INSTANTIATE_LAPACK_COMPLEX(FUNC)                            \
+  template <typename T, typename... Args>                           \
+  void FUNC(Args... args) {                                         \
+    if constexpr (std::is_same_v<T, std::complex<float>>) {         \
+      MLX_LAPACK_FUNC(c##FUNC)(std::forward<Args>(args)...);        \
+    } else if constexpr (std::is_same_v<T, std::complex<double>>) { \
+      MLX_LAPACK_FUNC(z##FUNC)(std::forward<Args>(args)...);        \
+    }                                                               \
+  }
+
+INSTANTIATE_LAPACK_COMPLEX(heevd)

mlx/backend/cpu/matmul.cpp

@@ -132,6 +132,10 @@ void AddMM::eval_cpu(const std::vector<array>& inputs, array& out) {
     throw std::runtime_error(
         "[AddMM::eval_cpu] Currently only supports float32.");
   }
+  if (out.size() == 0) {
+    out.set_data(allocator::malloc(out.nbytes()));
+    return;
+  }
 
   // Fill output with C
   auto& c = inputs[2];
@@ -139,7 +143,9 @@ void AddMM::eval_cpu(const std::vector<array>& inputs, array& out) {
       ? CopyType::Scalar
       : (c.flags().row_contiguous ? CopyType::Vector : CopyType::General);
   copy(c, out, ctype, stream());
-
+  if (inputs[0].shape(-1) == 0) {
+    return;
+  }
   matmul_general(inputs[0], inputs[1], out, stream(), alpha_, beta_);
 }
 

mlx/backend/cpu/quantized.cpp

@@ -13,9 +13,18 @@ namespace mlx::core {
 
 namespace {
 
+inline constexpr short get_pack_factor(int bits, int wsize = 8) {
+  return (bits == 3 || bits == 5) ? 8 : (bits == 6 ? 4 : wsize / bits);
+}
+
+inline constexpr short get_bytes_per_pack(int bits, int wsize = 8) {
+  auto power_of_2_bits = (bits & (bits - 1)) == 0;
+  return power_of_2_bits ? (wsize / 8) : (bits == 5 ? 5 : 3);
+}
+
 template <typename T, int bits>
 void extract_bits(const uint8_t* w_in, T* w_out) {
-  assert(bits == 3 || bits == 6);
+  static_assert(bits == 3 || bits == 5 || bits == 6);
   if (bits == 3) {
     w_out[0] = static_cast<T>(w_in[0] & 0x7);
     w_out[1] = static_cast<T>((w_in[0] & 0x38) >> 3);
@@ -25,6 +34,16 @@ void extract_bits(const uint8_t* w_in, T* w_out) {
     w_out[5] = static_cast<T>(((w_in[1] & 0x80) >> 7) + ((w_in[2] & 0x3) << 1));
     w_out[6] = static_cast<T>((w_in[2] & 0x1c) >> 2);
     w_out[7] = static_cast<T>((w_in[2] & 0xe0) >> 5);
+  } else if (bits == 5) {
+    w_out[0] = static_cast<T>(w_in[0] & 0x1f);
+    w_out[1] = static_cast<T>(((w_in[0] & 0xe0) >> 5) + ((w_in[1] & 0x3) << 3));
+    w_out[2] = static_cast<T>((w_in[1] & 0x7c) >> 2);
+    w_out[3] = static_cast<T>(((w_in[1] & 0x80) >> 7) + ((w_in[2] & 0xf) << 1));
+    w_out[4] = static_cast<T>(((w_in[2] & 0xf0) >> 4) + ((w_in[3] & 0x1) << 4));
+    w_out[5] = static_cast<T>((w_in[3] & 0x3e) >> 1);
+    w_out[6] = static_cast<T>(((w_in[3] & 0xc0) >> 6) + ((w_in[4] & 0x7) << 2));
+    w_out[7] = static_cast<T>((w_in[4] & 0xf8) >> 3);
+
   } else if (bits == 6) {
     w_out[0] = static_cast<T>(w_in[0] & 0x3f);
     w_out[1] =
@@ -46,8 +65,8 @@ void _qmm(
     int N,
     int K) {
   constexpr int bitmask = (1 << bits) - 1;
-  constexpr int pack_factor = bits == 3 ? 8 : bits == 6 ? 4 : 8 / bits;
-  constexpr int bytes_per_pack = (bits == 3 || bits == 6) ? 3 : 1;
+  constexpr int pack_factor = get_pack_factor(bits, 8);
+  constexpr int bytes_per_pack = get_bytes_per_pack(bits);
   constexpr int packs_in_group = group_size / pack_factor;
 
   for (int m = 0; m < M; m++) {
@@ -65,7 +84,7 @@ void _qmm(
         T scale = *scales_local++;
         T bias = *biases_local++;
         for (int ng = 0; ng < packs_in_group; ng++) {
-          if (bits == 3 || bits == 6) {
+          if constexpr (bits == 3 || bits == 5 || bits == 6) {
             T wl[pack_factor];
             extract_bits<T, bits>(w_local, wl);
 #pragma clang loop unroll(full)
@@ -104,8 +123,9 @@ void _qmm_t(
     int N,
     int K) {
   constexpr int bitmask = (1 << bits) - 1;
-  constexpr int pack_factor = bits == 3 ? 8 : bits == 6 ? 4 : 8 / bits;
-  constexpr int bytes_per_pack = (bits == 3 || bits == 6) ? 3 : 1;
+
+  constexpr int pack_factor = get_pack_factor(bits, 8);
+  constexpr int bytes_per_pack = get_bytes_per_pack(bits);
   constexpr int packs_in_group = group_size / pack_factor;
 
   for (int m = 0; m < M; m++) {
@@ -121,7 +141,7 @@ void _qmm_t(
         T bias = *biases_local++;
 
         for (int kw = 0; kw < packs_in_group; kw++) {
-          if (bits == 3 || bits == 6) {
+          if constexpr (bits == 3 || bits == 5 || bits == 6) {
             T wl[pack_factor];
             extract_bits<T, bits>(w_local, wl);
 #pragma clang loop unroll(full)
@@ -304,6 +324,10 @@ void _qmm_dispatch_typed(
       _qmm_dispatch_group<T, 4>(
           result, x, w, scales, biases, M, N, K, group_size, transposed_w);
       break;
+    case 5:
+      _qmm_dispatch_group<T, 5>(
+          result, x, w, scales, biases, M, N, K, group_size, transposed_w);
+      break;
     case 6:
       _qmm_dispatch_group<T, 6>(
           result, x, w, scales, biases, M, N, K, group_size, transposed_w);
@@ -613,9 +637,8 @@ void quantize(
   float eps = 1e-7;
 
   bool power_of_2_bits = is_power_of_2(bits);
-  int el_per_int = bits == 3 ? 8 : bits == 6 ? 4 : 32 / bits;
-  // For 3/6 bits we read 3 uint8s at a time instead of 1 uint32
-  int bytes_per_pack = power_of_2_bits ? 1 : 3;
+  int el_per_int = get_pack_factor(bits, 32);
+  int bytes_per_pack = get_bytes_per_pack(bits);
   int int_per_group = group_size * bytes_per_pack / el_per_int;
   size_t n_groups = w_size / group_size;
 
@@ -640,15 +663,21 @@ void quantize(
     }
     size_t out_idx = i * int_per_group;
     for (int j = 0; j < int_per_group / bytes_per_pack; ++j) {
-      uint32_t out_el = 0;
+      uint64_t out_el = 0;
       for (int k = 0; k < el_per_int; ++k) {
         float w_el = w[w_idx + j * el_per_int + k];
         w_el = std::rint((w_el - bias) / scale);
         w_el = std::min(std::max(w_el, 0.0f), n_bins);
-        out_el |= static_cast<uint32_t>(w_el) << (k * bits);
+        out_el |= static_cast<uint64_t>(w_el) << (k * bits);
       }
       if (power_of_2_bits) {
         out[out_idx + j] = out_el;
+      } else if (bits == 5) {
+        out[out_idx + bytes_per_pack * j] = out_el & 0xff;
+        out[out_idx + bytes_per_pack * j + 1] = (out_el & 0xff00) >> 8;
+        out[out_idx + bytes_per_pack * j + 2] = (out_el & 0xff0000) >> 16;
+        out[out_idx + bytes_per_pack * j + 3] = (out_el & 0xff000000) >> 24;
+        out[out_idx + bytes_per_pack * j + 4] = (out_el & 0xff00000000) >> 32;
       } else {
         out[out_idx + bytes_per_pack * j] = out_el & 0xff;
         out[out_idx + bytes_per_pack * j + 1] = (out_el & 0xff00) >> 8;

mlx/backend/cpu/unary.h

@@ -2,32 +2,13 @@
 
 #pragma once
 
-#include "mlx/allocator.h"
-#include "mlx/array.h"
-#include "mlx/backend/common/utils.h"
+#include "mlx/backend/common/unary.h"
 #include "mlx/backend/cpu/encoder.h"
 #include "mlx/backend/cpu/simd/simd.h"
 #include "mlx/utils.h"
 
 namespace mlx::core {
 
-void set_unary_output_data(const array& in, array& out) {
-  if (in.flags().contiguous) {
-    if (is_donatable(in, out)) {
-      out.copy_shared_buffer(in);
-    } else {
-      auto size = in.data_size();
-      out.set_data(
-          allocator::malloc(size * out.itemsize()),
-          size,
-          in.strides(),
-          in.flags());
-    }
-  } else {
-    out.set_data(allocator::malloc(out.nbytes()));
-  }
-}
-
 template <typename T, typename U = T, typename Op>
 void unary_op(const T* a, U* out, size_t shape, size_t stride) {
   for (size_t i = 0; i < shape; i += 1) {

mlx/backend/cuda/CMakeLists.txt

@@ -1,31 +1,88 @@
 # Filename rules in cuda backend:
 #
 # * Use .cu/.cuh if code contains device code, and .cpp/.h if not.
-# * Device-only kernel code should be put in kernels/ subdir.
-# * Files in kernels/ subdir should not include files outside.
+# * Device-only code should be put in device/ subdir.
+# * Files in device/ subdir should not include files outside.
 target_sources(
   mlx
   PRIVATE ${CMAKE_CURRENT_SOURCE_DIR}/allocator.cpp
-          ${CMAKE_CURRENT_SOURCE_DIR}/copy.cpp
+          ${CMAKE_CURRENT_SOURCE_DIR}/arg_reduce.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/binary.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/binary_two.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/compiled.cpp
+          ${CMAKE_CURRENT_SOURCE_DIR}/copy.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/copy/copy_contiguous.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/copy/copy_general.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/copy/copy_general_dynamic.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/copy/copy_general_input.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/cuda.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/device.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/eval.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/event.cu
-          ${CMAKE_CURRENT_SOURCE_DIR}/fence.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/fence.cpp
+          ${CMAKE_CURRENT_SOURCE_DIR}/jit_module.cpp
+          ${CMAKE_CURRENT_SOURCE_DIR}/indexing.cpp
+          ${CMAKE_CURRENT_SOURCE_DIR}/kernel_utils.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/matmul.cpp
+          ${CMAKE_CURRENT_SOURCE_DIR}/layer_norm.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/logsumexp.cu
           ${CMAKE_CURRENT_SOURCE_DIR}/primitives.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/random.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/reduce.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/reduce/col_reduce.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/reduce/row_reduce.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/reduce/segmented_reduce.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/rms_norm.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/rope.cu
           ${CMAKE_CURRENT_SOURCE_DIR}/slicing.cpp
+          ${CMAKE_CURRENT_SOURCE_DIR}/softmax.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/sort.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/ternary.cu
+          ${CMAKE_CURRENT_SOURCE_DIR}/unary.cu
           ${CMAKE_CURRENT_SOURCE_DIR}/utils.cpp
           ${CMAKE_CURRENT_SOURCE_DIR}/worker.cpp)
 
-target_compile_definitions(mlx PUBLIC MLX_USE_CUDA)
+target_compile_definitions(mlx PRIVATE MLX_USE_CUDA)
+
+# Embed kernel sources in binary for JIT compilation.
+file(
+  GLOB MLX_JIT_SOURCES
+  RELATIVE ${CMAKE_CURRENT_SOURCE_DIR}
+  "${CMAKE_CURRENT_SOURCE_DIR}/device/*.h"
+  "${CMAKE_CURRENT_SOURCE_DIR}/device/*.cuh")
+string(JOIN ":" MLX_JIT_SOURCES_ARG ${MLX_JIT_SOURCES})
+add_custom_command(
+  OUTPUT gen/cuda_jit_sources.h
+  COMMAND
+    ${CMAKE_COMMAND} -DMLX_SOURCE_ROOT=${CMAKE_CURRENT_SOURCE_DIR}
+    -DMLX_JIT_SOURCES=${MLX_JIT_SOURCES_ARG} -P
+    "${CMAKE_CURRENT_SOURCE_DIR}/bin2h.cmake"
+  DEPENDS bin2h.cmake ${MLX_JIT_SOURCES})
+add_custom_target(cuda_jit_sources DEPENDS gen/cuda_jit_sources.h)
+add_dependencies(mlx cuda_jit_sources)
+target_include_directories(mlx PRIVATE "${CMAKE_CURRENT_BINARY_DIR}/gen")
 
 # Enable defining device lambda functions.
 target_compile_options(mlx
                        PRIVATE "$<$<COMPILE_LANGUAGE:CUDA>:--extended-lambda>")
 
+# CUDA 12.8 emits warning #20280-D for copy kernels which is a false positive.
+# Explicitly pass this flag to suppress the warning, it is safe to set it to
+# true but the warning wouldn't be suppressed.
+if(CMAKE_CUDA_COMPILER_VERSION VERSION_GREATER_EQUAL 12.8.0)
+  target_compile_options(
+    mlx
+    PRIVATE "$<$<COMPILE_LANGUAGE:CUDA>:--static-global-template-stub=false>")
+endif()
+
+# Suppress warning when building for compute capability 7 used by V100.
+target_compile_options(
+  mlx PRIVATE "$<$<COMPILE_LANGUAGE:CUDA>:--Wno-deprecated-gpu-targets>")
+
 # Compute capability 7 is required for synchronization between CPU/GPU with
 # managed memory. TODO: Add more architectures for potential performance gain.
 set(MLX_CUDA_ARCHITECTURES
-    "75;80"
+    "70;80"
     CACHE STRING "CUDA architectures")
 message(STATUS "CUDA architectures: ${MLX_CUDA_ARCHITECTURES}")
 set_target_properties(mlx PROPERTIES CUDA_ARCHITECTURES
@@ -36,7 +93,7 @@ FetchContent_Declare(
   cccl
   URL "https://github.com/NVIDIA/cccl/releases/download/v2.8.1/cccl-v2.8.1.zip")
 FetchContent_MakeAvailable(cccl)
-target_include_directories(mlx PRIVATE BEFORE "${cccl_SOURCE_DIR}/include")
+target_include_directories(mlx BEFORE PRIVATE "${cccl_SOURCE_DIR}/include")
 
 # Use fixed version of NVTX.
 FetchContent_Declare(
@@ -52,6 +109,12 @@ target_link_libraries(mlx PUBLIC $<BUILD_INTERFACE:nvtx3-cpp>)
 find_package(CUDAToolkit REQUIRED)
 target_include_directories(mlx PRIVATE ${CUDAToolkit_INCLUDE_DIRS})
 
+# Use cublasLt.
+target_link_libraries(mlx PRIVATE CUDA::cublasLt)
+
+# Use NVRTC and driver APIs.
+target_link_libraries(mlx PRIVATE CUDA::nvrtc CUDA::cuda_driver)
+
 # Suppress nvcc warnings on MLX headers.
 target_compile_options(mlx PRIVATE $<$<COMPILE_LANGUAGE:CUDA>:-Xcudafe
                                    --diag_suppress=997>)

mlx/backend/cuda/allocator.cpp

@@ -3,9 +3,11 @@
 #include "mlx/backend/cuda/allocator.h"
 #include "mlx/backend/cuda/utils.h"
 #include "mlx/backend/cuda/worker.h"
+#include "mlx/utils.h"
 
 #include <cuda_runtime.h>
 #include <fmt/format.h>
+#include <unistd.h>
 
 #include <cassert>
 
@@ -13,24 +15,59 @@ namespace mlx::core {
 
 namespace cu {
 
-CudaAllocator::CudaAllocator() {
+constexpr int page_size = 16384;
+
+CudaAllocator::CudaAllocator()
+    : buffer_cache_(
+          page_size,
+          [](CudaBuffer* buf) { return buf->size; },
+          [this](CudaBuffer* buf) {
+            cuda_free(buf->data);
+            delete buf;
+          }) {
   // TODO: Set memory limit for multi-device.
   size_t free, total;
   CHECK_CUDA_ERROR(cudaMemGetInfo(&free, &total));
   memory_limit_ = total * 0.8;
+  max_pool_size_ = memory_limit_;
 }
 
 Buffer CudaAllocator::malloc(size_t size) {
-  // TODO: Check memory limit.
-  auto* buf = new CudaBuffer{nullptr, size};
-  cudaError_t err = cudaMallocManaged(&buf->data, size);
-  if (err != cudaSuccess && err != cudaErrorMemoryAllocation) {
-    throw std::runtime_error(
-        fmt::format("cudaMallocManaged failed: {}.", cudaGetErrorString(err)));
+  // Find available buffer from cache.
+  auto orig_size = size;
+  std::unique_lock lock(mutex_);
+  if (size < page_size) {
+    size = next_power_of_2(size);
+  } else {
+    size = page_size * ((size + page_size - 1) / page_size);
+  }
+
+  CudaBuffer* buf = buffer_cache_.reuse_from_cache(size);
+  if (!buf) {
+    // If we have a lot of memory pressure or are over the maximum cache size,
+    // try to reclaim memory from the cache.
+    size_t mem_required = get_active_memory() + get_cache_memory() + size;
+    if (mem_required >= memory_limit_) {
+      buffer_cache_.release_cached_buffers(mem_required - memory_limit_);
+    }
+
+    lock.unlock();
+    buf = new CudaBuffer{nullptr, size};
+    cudaError_t err = cudaMallocManaged(&buf->data, size);
+    if (err != cudaSuccess && err != cudaErrorMemoryAllocation) {
+      throw std::runtime_error(fmt::format(
+          "cudaMallocManaged failed: {}.", cudaGetErrorString(err)));
+    }
+    lock.lock();
   }
-  std::lock_guard lock(mutex_);
   active_memory_ += size;
   peak_memory_ = std::max(active_memory_, peak_memory_);
+
+  // Maintain the cache below the requested limit.
+  if (get_cache_memory() > max_pool_size_) {
+    buffer_cache_.release_cached_buffers(get_cache_memory() - max_pool_size_);
+  }
+
   return Buffer{buf};
 }
 
@@ -40,26 +77,15 @@ void CudaAllocator::free(Buffer buffer) {
     return;
   }
 
-  // If free() is called from a unregistered thread, reschedule the call to
-  // worker.
-  {
-    std::lock_guard lock(worker_mutex_);
-    if (allowed_threads_.count(std::this_thread::get_id()) == 0) {
-      if (!worker_) {
-        worker_.reset(new Worker);
-      }
-      worker_->add_task([buffer]() { allocator().free(buffer); });
-      worker_->end_batch();
-      worker_->commit();
-      return;
-    }
+  std::unique_lock lock(mutex_);
+  active_memory_ -= buf->size;
+  if (get_cache_memory() < max_pool_size_) {
+    buffer_cache_.recycle_to_cache(buf);
+  } else {
+    lock.unlock();
+    cuda_free(buf->data);
+    delete buf;
   }
-
-  size_t size = buf->size;
-  cudaFree(buf->data);
-  delete buf;
-  std::lock_guard lock(mutex_);
-  active_memory_ -= size;
 }
 
 size_t CudaAllocator::size(Buffer buffer) const {
@@ -75,6 +101,24 @@ void CudaAllocator::register_this_thread() {
   allowed_threads_.insert(std::this_thread::get_id());
 }
 
+void CudaAllocator::cuda_free(void* buf) {
+  // If cuda_free() is called from a unregistered thread, reschedule the call to
+  // worker.
+  {
+    std::lock_guard lock(worker_mutex_);
+    if (allowed_threads_.count(std::this_thread::get_id()) == 0) {
+      if (!worker_) {
+        worker_.reset(new Worker);
+      }
+      worker_->add_task([this, buf]() { this->cuda_free(buf); });
+      worker_->end_batch();
+      worker_->commit();
+      return;
+    }
+  }
+  cudaFree(buf);
+}
+
 size_t CudaAllocator::get_active_memory() const {
   return active_memory_;
 }
@@ -98,6 +142,21 @@ size_t CudaAllocator::set_memory_limit(size_t limit) {
   return limit;
 }
 
+size_t CudaAllocator::get_cache_memory() const {
+  return buffer_cache_.cache_size();
+}
+
+size_t CudaAllocator::set_cache_limit(size_t limit) {
+  std::lock_guard lk(mutex_);
+  std::swap(limit, max_pool_size_);
+  return limit;
+}
+
+void CudaAllocator::clear_cache() {
+  std::lock_guard lk(mutex_);
+  buffer_cache_.clear();
+}
+
 CudaAllocator& allocator() {
   // By creating the |allocator_| on heap, the destructor of CudaAllocator
   // will not be called on exit and buffers in the cache will be leaked. This
@@ -138,17 +197,19 @@ size_t set_memory_limit(size_t limit) {
 size_t get_memory_limit() {
   return cu::allocator().get_memory_limit();
 }
-
-// TODO: Implement buffer cache.
 size_t get_cache_memory() {
-  return 0;
+  return cu::allocator().get_cache_memory();
 }
-size_t set_cache_limit(size_t) {
-  return 0;
+size_t set_cache_limit(size_t limit) {
+  return cu::allocator().set_cache_limit(limit);
 }
+void clear_cache() {
+  cu::allocator().clear_cache();
+}
+
+// Not supported in CUDA.
 size_t set_wired_limit(size_t) {
   return 0;
 }
-void clear_cache() {}
 
 } // namespace mlx::core

mlx/backend/cuda/allocator.h

@@ -3,6 +3,7 @@
 #pragma once
 
 #include "mlx/allocator.h"
+#include "mlx/backend/common/buffer_cache.h"
 
 #include <mutex>
 #include <set>
@@ -33,11 +34,17 @@ class CudaAllocator : public allocator::Allocator {
   // buffers there would result in dead lock.
   void register_this_thread();
 
+  // Call cudaFree in the safe thread.
+  void cuda_free(void* buf);
+
   size_t get_active_memory() const;
   size_t get_peak_memory() const;
   void reset_peak_memory();
   size_t get_memory_limit();
   size_t set_memory_limit(size_t limit);
+  size_t get_cache_memory() const;
+  size_t set_cache_limit(size_t limit);
+  void clear_cache();
 
  private:
   CudaAllocator();
@@ -49,6 +56,8 @@ class CudaAllocator : public allocator::Allocator {
 
   std::mutex mutex_;
   size_t memory_limit_;
+  size_t max_pool_size_;
+  BufferCache<CudaBuffer> buffer_cache_;
   size_t active_memory_{0};
   size_t peak_memory_{0};
 };

mlx/backend/cuda/arg_reduce.cu

@@ -0,0 +1,188 @@
+// Copyright © 2025 Apple Inc.
+#include "mlx/backend/common/utils.h"
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/iterators/strided_iterator.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/dtype_utils.h"
+#include "mlx/primitives.h"
+
+#include <cooperative_groups.h>
+#include <nvtx3/nvtx3.hpp>
+#include <cub/block/block_load.cuh>
+#include <cub/block/block_reduce.cuh>
+
+#include <cassert>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+template <typename T>
+struct IndexValPair {
+  uint32_t index;
+  T val;
+};
+
+template <typename T>
+struct ArgMin {
+  constexpr __device__ T init() {
+    return Limits<T>::max();
+  }
+
+  __device__ IndexValPair<T> operator()(
+      const IndexValPair<T>& best,
+      const IndexValPair<T>& current) {
+    if (best.val > current.val ||
+        (best.val == current.val && best.index > current.index)) {
+      return current;
+    } else {
+      return best;
+    }
+  }
+
+  template <int N>
+  __device__ IndexValPair<T>
+  reduce_many(IndexValPair<T> best, T (&vals)[N], uint32_t offset) {
+    for (int i = 0; i < N; i++) {
+      if (vals[i] < best.val) {
+        best.val = vals[i];
+        best.index = offset + i;
+      }
+    }
+    return best;
+  }
+};
+
+template <typename T>
+struct ArgMax {
+  constexpr __device__ T init() {
+    return Limits<T>::min();
+  }
+
+  __device__ IndexValPair<T> operator()(
+      const IndexValPair<T>& best,
+      const IndexValPair<T>& current) {
+    if (best.val < current.val ||
+        (best.val == current.val && best.index > current.index)) {
+      return current;
+    } else {
+      return best;
+    }
+  }
+
+  template <int N>
+  __device__ IndexValPair<T>
+  reduce_many(IndexValPair<T> best, T (&vals)[N], uint32_t offset) {
+    for (int i = 0; i < N; i++) {
+      if (vals[i] > best.val) {
+        best.val = vals[i];
+        best.index = offset + i;
+      }
+    }
+    return best;
+  }
+};
+
+template <typename T, typename Op, int BLOCK_DIM, int N_READS = 4>
+__global__ void arg_reduce_general(
+    const T* in,
+    uint32_t* out,
+    size_t size,
+    const __grid_constant__ Shape shape,
+    const __grid_constant__ Strides in_strides,
+    const __grid_constant__ Strides out_strides,
+    int32_t ndim,
+    int64_t axis_stride,
+    int32_t axis_size) {
+  auto block = cg::this_thread_block();
+
+  int64_t index = cg::this_grid().block_rank();
+  if (index >= size) {
+    return;
+  }
+
+  int64_t in_idx = elem_to_loc(index, shape.data(), in_strides.data(), ndim);
+  int64_t out_idx = elem_to_loc(index, shape.data(), out_strides.data(), ndim);
+
+  Op op;
+  T init = op.init();
+  IndexValPair<T> best{0, init};
+
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    T vals[N_READS];
+    auto tid = r * BLOCK_DIM + block.thread_index().x;
+    cub::LoadDirectBlocked(
+        tid, strided_iterator(in + in_idx, axis_stride), vals, axis_size, init);
+    best = op.reduce_many(best, vals, tid * N_READS);
+  }
+
+  typedef cub::BlockReduce<IndexValPair<T>, BLOCK_DIM> BlockReduceT;
+  __shared__ typename BlockReduceT::TempStorage temp;
+
+  best = BlockReduceT(temp).Reduce(best, op);
+
+  if (block.thread_rank() == 0) {
+    out[out_idx] = best.index;
+  }
+}
+
+} // namespace cu
+
+void ArgReduce::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("ArgReduce::eval_gpu");
+  assert(inputs.size() == 1);
+  auto& in = inputs[0];
+  out.set_data(allocator::malloc(out.nbytes()));
+  auto& s = stream();
+
+  // Prepare the shapes, strides and axis arguments.
+  Shape shape = remove_index(in.shape(), axis_);
+  Strides in_strides = remove_index(in.strides(), axis_);
+  Strides out_strides = out.ndim() == in.ndim()
+      ? remove_index(out.strides(), axis_)
+      : out.strides();
+  int64_t axis_stride = in.strides()[axis_];
+  int32_t axis_size = in.shape()[axis_];
+  int32_t ndim = shape.size();
+
+  // ArgReduce.
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(in);
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_REAL_TYPES_CHECKED(in.dtype(), "ArgReduce", CTYPE, {
+      using InType = cuda_type_t<CTYPE>;
+      constexpr uint32_t N_READS = 4;
+      MLX_SWITCH_BLOCK_DIM(cuda::ceil_div(axis_size, N_READS), BLOCK_DIM, {
+        dim3 num_blocks = get_2d_grid_dims(out.shape(), out.strides());
+        dim3 block_dims{BLOCK_DIM, 1, 1};
+        auto kernel = &cu::arg_reduce_general<
+            InType,
+            cu::ArgMax<InType>,
+            BLOCK_DIM,
+            N_READS>;
+        if (reduce_type_ == ArgReduce::ArgMin) {
+          kernel = &cu::arg_reduce_general<
+              InType,
+              cu::ArgMin<InType>,
+              BLOCK_DIM,
+              N_READS>;
+        }
+        kernel<<<num_blocks, block_dims, 0, stream>>>(
+            in.data<InType>(),
+            out.data<uint32_t>(),
+            out.size(),
+            const_param(shape),
+            const_param(in_strides),
+            const_param(out_strides),
+            ndim,
+            axis_stride,
+            axis_size);
+      });
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/bin2h.cmake

@@ -0,0 +1,150 @@
+# Based on: https://github.com/sivachandran/cmake-bin2h
+#
+# Copyright 2020 Sivachandran Paramasivam
+#
+# Permission is hereby granted, free of charge, to any person obtaining a copy
+# of this software and associated documentation files (the "Software"), to deal
+# in the Software without restriction, including without limitation the rights
+# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+# copies of the Software, and to permit persons to whom the Software is
+# furnished to do so, subject to the following conditions:
+#
+# The above copyright notice and this permission notice shall be included in all
+# copies or substantial portions of the Software.
+#
+# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+# SOFTWARE.
+
+include(CMakeParseArguments)
+
+# Function to wrap a given string into multiple lines at the given column
+# position.
+#
+# Parameters:
+#
+# * VARIABLE - The name of the CMake variable holding the string.
+# * AT_COLUMN - The column position at which string will be wrapped.
+function(WRAP_STRING)
+  set(oneValueArgs VARIABLE AT_COLUMN)
+  cmake_parse_arguments(WRAP_STRING "${options}" "${oneValueArgs}" "" ${ARGN})
+
+  string(LENGTH ${${WRAP_STRING_VARIABLE}} stringLength)
+  math(EXPR offset "0")
+
+  while(stringLength GREATER 0)
+    if(stringLength GREATER ${WRAP_STRING_AT_COLUMN})
+      math(EXPR length "${WRAP_STRING_AT_COLUMN}")
+    else()
+      math(EXPR length "${stringLength}")
+    endif()
+
+    string(SUBSTRING ${${WRAP_STRING_VARIABLE}} ${offset} ${length} line)
+    set(lines "${lines}\n ${line}")
+
+    math(EXPR stringLength "${stringLength} - ${length}")
+    math(EXPR offset "${offset} + ${length}")
+  endwhile()
+
+  set(${WRAP_STRING_VARIABLE}
+      "${lines}"
+      PARENT_SCOPE)
+endfunction()
+
+# Function to embed contents of a file as byte array in C/C++ header file(.h).
+# The header file will contain a byte array and integer variable holding the
+# size of the array.
+#
+# Parameters:
+#
+# * SOURCE_FILES - The paths of source files whose contents will be embedded in
+#   the header file.
+# * VARIABLE_NAME - The name of the variable for the byte array. The string
+#   "_SIZE" will be append to this name and will be used a variable name for
+#   size variable.
+# * HEADER_FILE - The path of header file.
+# * APPEND - If specified appends to the header file instead of overwriting it
+# * HEADER_NAMESPACE - The namespace, where the array should be located in.
+# * NULL_TERMINATE - If specified a null byte(zero) will be append to the byte
+#   array.
+#
+# Usage:
+#
+# bin2h(SOURCE_FILE "Logo.png" HEADER_FILE "Logo.h" VARIABLE_NAME "LOGO_PNG")
+function(BIN2H)
+  set(options APPEND NULL_TERMINATE)
+  set(oneValueArgs VARIABLE_NAME HEADER_FILE HEADER_NAMESPACE)
+  set(multiValueArgs SOURCE_FILES)
+  cmake_parse_arguments(BIN2H "${options}" "${oneValueArgs}"
+                        "${multiValueArgs}" ${ARGN})
+
+  set(arrayDefinition "")
+  foreach(SOURCE_FILE IN LISTS BIN2H_SOURCE_FILES)
+    # get filename without extension
+    get_filename_component(FILE_NAME_WE ${SOURCE_FILE} NAME_WE)
+    # convert the filename to a valid C identifier
+    string(MAKE_C_IDENTIFIER "${FILE_NAME_WE}" VALID_FILE_NAME)
+
+    # reads source file contents as hex string
+    file(READ ${SOURCE_FILE} hexString HEX)
+
+    # append null
+    if(BIN2H_NULL_TERMINATE)
+      string(APPEND hexString "00")
+    endif()
+
+    # wraps the hex string into multiple lines
+    wrap_string(VARIABLE hexString AT_COLUMN 24)
+
+    # strip the © in source code
+    string(REGEX REPLACE "c2a9" "2020" arrayValues ${hexString})
+
+    string(REGEX REPLACE "([0-9a-f][0-9a-f])" " 0x\\1," arrayValues
+                         ${arrayValues})
+
+    # make a full variable name for the array
+    set(FULL_VARIABLE_NAME "${BIN2H_VARIABLE_NAME}_${VALID_FILE_NAME}")
+
+    # declares byte array and the length variables
+    string(APPEND arrayDefinition
+           "constexpr char ${FULL_VARIABLE_NAME}[] = {${arrayValues}\n};\n\n")
+  endforeach()
+
+  # add namespace wrapper if defined
+  if(DEFINED BIN2H_HEADER_NAMESPACE)
+    set(namespaceStart "namespace ${BIN2H_HEADER_NAMESPACE} {")
+    set(namespaceEnd "} // namespace ${BIN2H_HEADER_NAMESPACE}")
+    set(declarations "${namespaceStart}\n\n${arrayDefinition}${namespaceEnd}\n")
+  endif()
+
+  set(arrayIncludes "#pragma once")
+  string(PREPEND declarations "${arrayIncludes}\n\n")
+
+  if(BIN2H_APPEND)
+    file(APPEND ${BIN2H_HEADER_FILE} "${declarations}")
+  else()
+    file(WRITE ${BIN2H_HEADER_FILE} "${declarations}")
+  endif()
+endfunction()
+
+# ----------------------------- CLI args -----------------------------
+
+string(REPLACE ":" ";" MLX_JIT_SOURCES_LIST ${MLX_JIT_SOURCES})
+foreach(source ${MLX_JIT_SOURCES_LIST})
+  list(APPEND MLX_JIT_SOURCES_ABS "${MLX_SOURCE_ROOT}/${source}")
+endforeach()
+
+bin2h(
+  SOURCE_FILES
+  ${MLX_JIT_SOURCES_ABS}
+  NULL_TERMINATE
+  VARIABLE_NAME
+  "jit_source"
+  HEADER_NAMESPACE
+  "mlx::core"
+  HEADER_FILE
+  "${CMAKE_CURRENT_BINARY_DIR}/gen/cuda_jit_sources.h")

mlx/backend/cuda/binary.cu

@@ -0,0 +1,292 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/common/binary.h"
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/device/binary_ops.cuh"
+#include "mlx/backend/cuda/device/cucomplex_math.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/dtype_utils.h"
+#include "mlx/primitives.h"
+
+#include <cooperative_groups.h>
+#include <nvtx3/nvtx3.hpp>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+template <typename Op, typename In, typename Out, typename IdxT>
+__global__ void binary_ss(const In* a, const In* b, Out* out, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    out[index] = Op{}(a[0], b[0]);
+  }
+}
+
+template <typename Op, typename In, typename Out, typename IdxT>
+__global__ void binary_sv(const In* a, const In* b, Out* out, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    out[index] = Op{}(a[0], b[index]);
+  }
+}
+
+template <typename Op, typename In, typename Out, typename IdxT>
+__global__ void binary_vs(const In* a, const In* b, Out* out, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    out[index] = Op{}(a[index], b[0]);
+  }
+}
+
+template <typename Op, typename In, typename Out, typename IdxT>
+__global__ void binary_vv(const In* a, const In* b, Out* out, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    out[index] = Op{}(a[index], b[index]);
+  }
+}
+
+template <typename Op, typename In, typename Out, typename IdxT, int NDIM>
+__global__ void binary_g_nd(
+    const In* a,
+    const In* b,
+    Out* out,
+    IdxT size,
+    const __grid_constant__ cuda::std::array<int32_t, NDIM> shape,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> a_strides,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> b_strides) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto [a_idx, b_idx] = elem_to_loc_nd<NDIM>(
+        index, shape.data(), a_strides.data(), b_strides.data());
+    out[index] = Op{}(a[a_idx], b[b_idx]);
+  }
+}
+
+template <typename Op, typename In, typename Out, typename IdxT>
+__global__ void binary_g(
+    const In* a,
+    const In* b,
+    Out* out,
+    IdxT size,
+    const __grid_constant__ Shape shape,
+    const __grid_constant__ Strides a_strides,
+    const __grid_constant__ Strides b_strides,
+    int ndim) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto [a_idx, b_idx] = elem_to_loc_4d(
+        index, shape.data(), a_strides.data(), b_strides.data(), ndim);
+    out[index] = Op{}(a[a_idx], b[b_idx]);
+  }
+}
+
+template <typename Op, typename In, typename Out>
+constexpr bool supports_binary_op() {
+  if (std::is_same_v<Op, Add> || std::is_same_v<Op, Divide> ||
+      std::is_same_v<Op, Maximum> || std::is_same_v<Op, Minimum> ||
+      std::is_same_v<Op, Multiply> || std::is_same_v<Op, Subtract> ||
+      std::is_same_v<Op, Power> || std::is_same_v<Op, Remainder>) {
+    return std::is_same_v<In, Out>;
+  }
+  if (std::is_same_v<Op, Equal> || std::is_same_v<Op, Greater> ||
+      std::is_same_v<Op, GreaterEqual> || std::is_same_v<Op, Less> ||
+      std::is_same_v<Op, LessEqual> || std::is_same_v<Op, NotEqual>) {
+    return std::is_same_v<Out, bool>;
+  }
+  if (std::is_same_v<Op, LogicalAnd> || std::is_same_v<Op, LogicalOr>) {
+    return std::is_same_v<Out, bool> && std::is_same_v<In, bool>;
+  }
+  if (std::is_same_v<Op, NaNEqual>) {
+    return std::is_same_v<Out, bool> && is_inexact_v<In>;
+  }
+  if (std::is_same_v<Op, LogAddExp>) {
+    return std::is_same_v<In, Out> && is_inexact_v<In>;
+  }
+  if (std::is_same_v<Op, ArcTan2>) {
+    return std::is_same_v<In, Out> && is_floating_v<In>;
+  }
+  if (std::is_same_v<Op, BitwiseAnd> || std::is_same_v<Op, BitwiseOr> ||
+      std::is_same_v<Op, BitwiseXor>) {
+    return std::is_same_v<In, Out> && std::is_integral_v<In>;
+  }
+  if (std::is_same_v<Op, LeftShift> || std::is_same_v<Op, RightShift>) {
+    return std::is_same_v<In, Out> && std::is_integral_v<In> &&
+        !std::is_same_v<In, bool>;
+  }
+  return false;
+}
+
+} // namespace cu
+
+template <typename Op>
+void binary_op_gpu_inplace(
+    const std::vector<array>& inputs,
+    array& out,
+    std::string_view op,
+    const Stream& s) {
+  assert(inputs.size() > 1);
+  const auto& a = inputs[0];
+  const auto& b = inputs[1];
+  if (out.size() == 0) {
+    return;
+  }
+
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(a);
+  encoder.set_input_array(b);
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_ALL_TYPES(a.dtype(), CTYPE_IN, {
+      MLX_SWITCH_ALL_TYPES(out.dtype(), CTYPE_OUT, {
+        if constexpr (cu::supports_binary_op<Op, CTYPE_IN, CTYPE_OUT>()) {
+          using InType = cuda_type_t<CTYPE_IN>;
+          using OutType = cuda_type_t<CTYPE_OUT>;
+          auto bopt = get_binary_op_type(a, b);
+          if (bopt == BinaryOpType::General) {
+            auto [shape, strides] = collapse_contiguous_dims(a, b, out);
+            auto& a_strides = strides[0];
+            auto& b_strides = strides[1];
+            bool large = a.data_size() > INT32_MAX ||
+                b.data_size() > INT32_MAX || out.data_size() > INT32_MAX;
+            MLX_SWITCH_BOOL(large, LARGE, {
+              using IdxT = std::conditional_t<LARGE, int64_t, int32_t>;
+              int ndim = shape.size();
+              if (ndim <= 3) {
+                MLX_SWITCH_1_2_3(ndim, NDIM, {
+                  auto kernel =
+                      &cu::binary_g_nd<Op, InType, OutType, IdxT, NDIM>;
+                  auto [num_blocks, block_dims] =
+                      get_launch_args(kernel, out, large);
+                  kernel<<<num_blocks, block_dims, 0, stream>>>(
+                      a.data<InType>(),
+                      b.data<InType>(),
+                      out.data<OutType>(),
+                      out.size(),
+                      const_param<NDIM>(shape),
+                      const_param<NDIM>(a_strides),
+                      const_param<NDIM>(b_strides));
+                });
+              } else {
+                auto kernel = cu::binary_g<Op, InType, OutType, IdxT>;
+                auto [num_blocks, block_dims] =
+                    get_launch_args(kernel, out, large);
+                kernel<<<num_blocks, block_dims, 0, stream>>>(
+                    a.data<InType>(),
+                    b.data<InType>(),
+                    out.data<OutType>(),
+                    out.size(),
+                    const_param(shape),
+                    const_param(a_strides),
+                    const_param(b_strides),
+                    ndim);
+              }
+            });
+          } else {
+            MLX_SWITCH_BOOL(out.data_size() > UINT32_MAX, LARGE, {
+              using IdxT = std::conditional_t<LARGE, int64_t, uint32_t>;
+              auto kernel = cu::binary_ss<Op, InType, OutType, IdxT>;
+              if (bopt == BinaryOpType::ScalarVector) {
+                kernel = cu::binary_sv<Op, InType, OutType, IdxT>;
+              } else if (bopt == BinaryOpType::VectorScalar) {
+                kernel = cu::binary_vs<Op, InType, OutType, IdxT>;
+              } else if (bopt == BinaryOpType::VectorVector) {
+                kernel = cu::binary_vv<Op, InType, OutType, IdxT>;
+              }
+              auto [num_blocks, block_dims] = get_launch_args(
+                  kernel, out.data_size(), out.shape(), out.strides(), LARGE);
+              kernel<<<num_blocks, block_dims, 0, stream>>>(
+                  a.data<InType>(),
+                  b.data<InType>(),
+                  out.data<OutType>(),
+                  out.data_size());
+            });
+          }
+        } else {
+          throw std::runtime_error(fmt::format(
+              "Can not do binary op {} on inputs of {} with result of {}.",
+              op,
+              dtype_to_string(a.dtype()),
+              dtype_to_string(out.dtype())));
+        }
+      });
+    });
+  });
+}
+
+template <typename Op>
+void binary_op_gpu(
+    const std::vector<array>& inputs,
+    array& out,
+    std::string_view op,
+    const Stream& s) {
+  auto& a = inputs[0];
+  auto& b = inputs[1];
+  auto bopt = get_binary_op_type(a, b);
+  set_binary_op_output_data(a, b, out, bopt);
+  binary_op_gpu_inplace<Op>(inputs, out, op, s);
+}
+
+#define BINARY_GPU(func)                                                 \
+  void func::eval_gpu(const std::vector<array>& inputs, array& out) {    \
+    nvtx3::scoped_range r(#func "::eval_gpu");                           \
+    auto& s = out.primitive().stream();                                  \
+    binary_op_gpu<cu::func>(inputs, out, get_primitive_string(this), s); \
+  }
+
+BINARY_GPU(Add)
+BINARY_GPU(ArcTan2)
+BINARY_GPU(Divide)
+BINARY_GPU(Remainder)
+BINARY_GPU(Greater)
+BINARY_GPU(GreaterEqual)
+BINARY_GPU(Less)
+BINARY_GPU(LessEqual)
+BINARY_GPU(LogicalAnd)
+BINARY_GPU(LogicalOr)
+BINARY_GPU(LogAddExp)
+BINARY_GPU(Maximum)
+BINARY_GPU(Minimum)
+BINARY_GPU(Multiply)
+BINARY_GPU(NotEqual)
+BINARY_GPU(Power)
+BINARY_GPU(Subtract)
+
+void Equal::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("Equal::eval_gpu");
+  auto& s = out.primitive().stream();
+  auto op = get_primitive_string(this);
+  if (equal_nan_) {
+    binary_op_gpu<cu::NaNEqual>(inputs, out, op, s);
+  } else {
+    binary_op_gpu<cu::Equal>(inputs, out, op, s);
+  }
+}
+
+void BitwiseBinary::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("BitwiseBinary::eval_gpu");
+  auto& s = out.primitive().stream();
+  auto op = get_primitive_string(this);
+  switch (op_) {
+    case BitwiseBinary::And:
+      binary_op_gpu<cu::BitwiseAnd>(inputs, out, op, s);
+      break;
+    case BitwiseBinary::Or:
+      binary_op_gpu<cu::BitwiseOr>(inputs, out, op, s);
+      break;
+    case BitwiseBinary::Xor:
+      binary_op_gpu<cu::BitwiseXor>(inputs, out, op, s);
+      break;
+    case BitwiseBinary::LeftShift:
+      binary_op_gpu<cu::LeftShift>(inputs, out, op, s);
+      break;
+    case BitwiseBinary::RightShift:
+      binary_op_gpu<cu::RightShift>(inputs, out, op, s);
+      break;
+  }
+}
+
+} // namespace mlx::core

mlx/backend/cuda/binary_two.cu

@@ -0,0 +1,248 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/common/binary.h"
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/device/binary_ops.cuh"
+#include "mlx/backend/cuda/device/cucomplex_math.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/dtype_utils.h"
+#include "mlx/primitives.h"
+
+#include <cooperative_groups.h>
+#include <nvtx3/nvtx3.hpp>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+template <typename Op, typename In, typename Out, typename IdxT>
+__global__ void
+binary_ss(const In* a, const In* b, Out* out_a, Out* out_b, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto out = Op{}(a[0], b[0]);
+    out_a[0] = out[0];
+    out_b[0] = out[1];
+  }
+}
+
+template <typename Op, typename In, typename Out, typename IdxT>
+__global__ void
+binary_sv(const In* a, const In* b, Out* out_a, Out* out_b, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto out = Op{}(a[0], b[index]);
+    out_a[index] = out[0];
+    out_b[index] = out[1];
+  }
+}
+
+template <typename Op, typename In, typename Out, typename IdxT>
+__global__ void
+binary_vs(const In* a, const In* b, Out* out_a, Out* out_b, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto out = Op{}(a[index], b[0]);
+    out_a[index] = out[0];
+    out_b[index] = out[1];
+  }
+}
+
+template <typename Op, typename In, typename Out, typename IdxT>
+__global__ void
+binary_vv(const In* a, const In* b, Out* out_a, Out* out_b, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto out = Op{}(a[index], b[index]);
+    out_a[index] = out[0];
+    out_b[index] = out[1];
+  }
+}
+
+template <typename Op, typename In, typename Out, typename IdxT, int NDIM>
+__global__ void binary_g_nd(
+    const In* a,
+    const In* b,
+    Out* out_a,
+    Out* out_b,
+    IdxT size,
+    const __grid_constant__ cuda::std::array<int32_t, NDIM> shape,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> a_strides,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> b_strides) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto [a_idx, b_idx] = elem_to_loc_nd<NDIM>(
+        index, shape.data(), a_strides.data(), b_strides.data());
+    auto out = Op{}(a[a_idx], b[b_idx]);
+    out_a[index] = out[0];
+    out_b[index] = out[1];
+  }
+}
+
+template <typename Op, typename In, typename Out, typename IdxT>
+__global__ void binary_g(
+    const In* a,
+    const In* b,
+    Out* out_a,
+    Out* out_b,
+    IdxT size,
+    const __grid_constant__ Shape shape,
+    const __grid_constant__ Strides a_strides,
+    const __grid_constant__ Strides b_strides,
+    int ndim) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto [a_idx, b_idx] = elem_to_loc_4d(
+        index, shape.data(), a_strides.data(), b_strides.data(), ndim);
+    auto out = Op{}(a[a_idx], b[b_idx]);
+    out_a[index] = out[0];
+    out_b[index] = out[1];
+  }
+}
+
+template <typename Op, typename In, typename Out>
+constexpr bool supports_binary_op() {
+  if (std::is_same_v<Op, DivMod>) {
+    return std::is_same_v<In, Out> &&
+        (std::is_integral_v<Out> || is_floating_v<Out>);
+  }
+  return false;
+}
+
+} // namespace cu
+
+template <typename Op>
+void binary_op_gpu_inplace(
+    const std::vector<array>& inputs,
+    std::vector<array>& outputs,
+    std::string_view op,
+    const Stream& s) {
+  assert(inputs.size() > 1);
+  const auto& a = inputs[0];
+  const auto& b = inputs[1];
+  auto& out_a = outputs[0];
+  auto& out_b = outputs[1];
+  auto bopt = get_binary_op_type(a, b);
+  set_binary_op_output_data(a, b, out_a, bopt);
+  set_binary_op_output_data(a, b, out_b, bopt);
+
+  if (out_a.size() == 0) {
+    return;
+  }
+
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(a);
+  encoder.set_input_array(b);
+  encoder.set_output_array(out_a);
+  encoder.set_output_array(out_b);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_ALL_TYPES(a.dtype(), CTYPE_IN, {
+      MLX_SWITCH_ALL_TYPES(out_a.dtype(), CTYPE_OUT, {
+        if constexpr (cu::supports_binary_op<Op, CTYPE_IN, CTYPE_OUT>()) {
+          using InType = cuda_type_t<CTYPE_IN>;
+          using OutType = cuda_type_t<CTYPE_OUT>;
+
+          auto bopt = get_binary_op_type(a, b);
+          if (bopt == BinaryOpType::General) {
+            auto [shape, strides] = collapse_contiguous_dims(a, b, out_a);
+            auto& a_strides = strides[0];
+            auto& b_strides = strides[1];
+            bool large = a.data_size() > INT32_MAX ||
+                b.data_size() > INT32_MAX || out_a.data_size() > INT32_MAX;
+            MLX_SWITCH_BOOL(large, LARGE, {
+              using IdxT = std::conditional_t<LARGE, int64_t, int32_t>;
+              int ndim = shape.size();
+              if (ndim <= 3) {
+                MLX_SWITCH_1_2_3(ndim, NDIM, {
+                  auto kernel =
+                      &cu::binary_g_nd<Op, InType, OutType, IdxT, NDIM>;
+                  auto [num_blocks, block_dims] =
+                      get_launch_args(kernel, out_a, large);
+                  kernel<<<num_blocks, block_dims, 0, stream>>>(
+                      a.data<InType>(),
+                      b.data<InType>(),
+                      out_a.data<OutType>(),
+                      out_b.data<OutType>(),
+                      out_a.size(),
+                      const_param<NDIM>(shape),
+                      const_param<NDIM>(a_strides),
+                      const_param<NDIM>(b_strides));
+                });
+              } else {
+                auto kernel = cu::binary_g<Op, InType, OutType, IdxT>;
+                auto [num_blocks, block_dims] =
+                    get_launch_args(kernel, out_a, large);
+                kernel<<<num_blocks, block_dims, 0, stream>>>(
+                    a.data<InType>(),
+                    b.data<InType>(),
+                    out_a.data<OutType>(),
+                    out_b.data<OutType>(),
+                    out_a.size(),
+                    const_param(shape),
+                    const_param(a_strides),
+                    const_param(b_strides),
+                    ndim);
+              }
+            });
+          } else {
+            MLX_SWITCH_BOOL(out_a.data_size() > UINT32_MAX, LARGE, {
+              using IdxT = std::conditional_t<LARGE, int64_t, uint32_t>;
+              auto kernel = cu::binary_ss<Op, InType, OutType, IdxT>;
+              if (bopt == BinaryOpType::ScalarVector) {
+                kernel = cu::binary_sv<Op, InType, OutType, IdxT>;
+              } else if (bopt == BinaryOpType::VectorScalar) {
+                kernel = cu::binary_vs<Op, InType, OutType, IdxT>;
+              } else if (bopt == BinaryOpType::VectorVector) {
+                kernel = cu::binary_vv<Op, InType, OutType, IdxT>;
+              }
+              auto [num_blocks, block_dims] = get_launch_args(
+                  kernel,
+                  out_a.data_size(),
+                  out_a.shape(),
+                  out_a.strides(),
+                  LARGE);
+              kernel<<<num_blocks, block_dims, 0, stream>>>(
+                  a.data<InType>(),
+                  b.data<InType>(),
+                  out_a.data<OutType>(),
+                  out_b.data<OutType>(),
+                  out_a.data_size());
+            });
+          }
+        } else {
+          throw std::runtime_error(fmt::format(
+              "Can not do binary op {} on inputs of {} with result of {}.",
+              op,
+              dtype_to_string(a.dtype()),
+              dtype_to_string(out_a.dtype())));
+        }
+      });
+    });
+  });
+}
+
+template <typename Op>
+void binary_op_gpu(
+    const std::vector<array>& inputs,
+    std::vector<array>& outputs,
+    std::string_view op,
+    const Stream& s) {
+  auto& a = inputs[0];
+  auto& b = inputs[1];
+  auto bopt = get_binary_op_type(a, b);
+  set_binary_op_output_data(a, b, outputs[0], bopt);
+  set_binary_op_output_data(a, b, outputs[1], bopt);
+  binary_op_gpu_inplace<Op>(inputs, outputs, op, s);
+}
+
+void DivMod::eval_gpu(
+    const std::vector<array>& inputs,
+    std::vector<array>& outputs) {
+  nvtx3::scoped_range r("DivMod::eval_gpu");
+  auto& s = outputs[0].primitive().stream();
+  binary_op_gpu<cu::DivMod>(inputs, outputs, get_primitive_string(this), s);
+}
+
+} // namespace mlx::core

mlx/backend/cuda/compiled.cpp

@@ -0,0 +1,230 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/common/compiled.h"
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/jit_module.h"
+#include "mlx/graph_utils.h"
+#include "mlx/primitives.h"
+
+#include <fmt/format.h>
+#include <nvtx3/nvtx3.hpp>
+
+namespace mlx::core {
+
+namespace cu {
+
+struct FusedKernelBuilder {
+  std::string os;
+  const std::string& kernel_name;
+  const std::vector<array>& inputs;
+  const std::vector<array>& outputs;
+  const std::vector<array>& tape;
+  const std::function<bool(size_t)>& is_constant;
+
+  void build(const char* name, bool contiguous) {
+    NodeNamer namer;
+
+    // Function parameters.
+    std::vector<std::string> params;
+    for (size_t i = 0; i < inputs.size(); ++i) {
+      if (is_constant(i)) {
+        continue;
+      }
+      const auto& x = inputs[i];
+      const std::string& xname = namer.get_name(x);
+      params.push_back(
+          fmt::format("const {}* {}", dtype_to_cuda_type(x.dtype()), xname));
+      if (!is_scalar(x) && !contiguous) {
+        params.push_back(fmt::format(
+            "const __grid_constant__ cuda::std::array<int64_t, NDIM> {}_strides",
+            xname));
+      }
+    }
+    for (const auto& x : outputs) {
+      params.push_back(fmt::format(
+          "{}* {}", dtype_to_cuda_type(x.dtype()), namer.get_name(x)));
+    }
+    if (!contiguous) {
+      params.push_back(
+          "const __grid_constant__ cuda::std::array<int32_t, NDIM> shape");
+    }
+    params.push_back("IdxT size");
+
+    // Build function signature.
+    if (contiguous) {
+      os += "template <typename IdxT = uint32_t>\n";
+    } else {
+      os += "template <int NDIM, typename IdxT = uint32_t>\n";
+    }
+    os += fmt::format("__global__ void {}(\n", kernel_name + name);
+    for (size_t i = 0; i < params.size(); ++i) {
+      os += "    ";
+      os += params[i];
+      if (i != params.size() - 1) {
+        os += ",\n";
+      }
+    }
+    os += ") {\n";
+
+    // Index.
+    os +=
+        "  IdxT index = cg::this_grid().thread_rank();\n"
+        "  if (index >= size) {\n"
+        "    return;\n"
+        "  }\n";
+
+    // Read inputs.
+    for (size_t i = 0; i < inputs.size(); ++i) {
+      const auto& x = inputs[i];
+      const std::string& xname = namer.get_name(x);
+      std::string type = dtype_to_cuda_type(x.dtype());
+      std::string value;
+      if (is_constant(i)) {
+        std::ostringstream ss;
+        print_constant(ss, x);
+        value = fmt::format("static_cast<{}>({})", type, ss.str());
+      } else if (is_scalar(x)) {
+        value = fmt::format("{}[0]", xname);
+      } else if (contiguous) {
+        value = fmt::format("{}[index]", xname);
+      } else {
+        std::string index = fmt::format(
+            "elem_to_loc_nd<NDIM>(index, shape.data(), {}_strides.data())",
+            xname);
+        value = fmt::format("{}[{}]", xname, index);
+      }
+      os += fmt::format("  {} tmp_{} = {};\n", type, xname, value);
+    }
+
+    // Write tape.
+    for (const auto& x : tape) {
+      const std::string& xname = namer.get_name(x);
+      std::string type = dtype_to_cuda_type(x.dtype());
+      std::string value;
+      if (is_static_cast(x.primitive())) {
+        value = fmt::format(
+            "static_cast<{}>(tmp_{})", type, namer.get_name(x.inputs()[0]));
+      } else {
+        std::ostringstream ss;
+        x.primitive().print(ss);
+        value = ss.str();
+        value += "{}(";
+        for (size_t i = 0; i < x.inputs().size() - 1; ++i) {
+          value += fmt::format("tmp_{}, ", namer.get_name(x.inputs()[i]));
+        }
+        value += fmt::format("tmp_{})", namer.get_name(x.inputs().back()));
+      }
+      os += fmt::format("  {} tmp_{} = {};\n", type, xname, value);
+    }
+
+    // Write output.
+    for (const auto& x : outputs) {
+      os += fmt::format("  {0}[index] = tmp_{0};\n", namer.get_name(x));
+    }
+
+    os += "}\n";
+  }
+};
+
+} // namespace cu
+
+constexpr const char* g_jit_includes = R"(
+#include "mlx/backend/cuda/device/binary_ops.cuh"
+#include "mlx/backend/cuda/device/ternary_ops.cuh"
+#include "mlx/backend/cuda/device/unary_ops.cuh"
+#include "mlx/backend/cuda/device/utils.cuh"
+
+#include <cooperative_groups.h>
+
+#define inf cuda::std::numeric_limits<float>::infinity()
+)";
+
+void Compiled::eval_gpu(
+    const std::vector<array>& inputs,
+    std::vector<array>& outputs) {
+  nvtx3::scoped_range r("Compiled::eval_gpu");
+  auto& s = stream();
+
+  cu::JitModule& mod = cu::get_jit_module(s.device, lib_name(), [&]() {
+    // Build source code.
+    cu::FusedKernelBuilder builder{
+        g_jit_includes, lib_name(), inputs_, outputs_, tape_, is_constant_};
+    builder.os +=
+        "namespace mlx::core::cu {\n\n"
+        "namespace cg = cooperative_groups;\n\n";
+    builder.build("_contiguous", true);
+    builder.os += "\n";
+    builder.build("_strided", false);
+    builder.os += "\n} // namespace mlx::core::cu\n";
+    // Build kernel names.
+    std::vector<std::string> kernel_names = {
+        fmt::format("mlx::core::cu::{}_contiguous<uint32_t>", lib_name()),
+        fmt::format("mlx::core::cu::{}_contiguous<int64_t>", lib_name()),
+    };
+    for (int i = 1; i <= MAX_NDIM; ++i) {
+      kernel_names.push_back(fmt::format(
+          "mlx::core::cu::{}_strided<{}, uint32_t>", lib_name(), i));
+      kernel_names.push_back(
+          fmt::format("mlx::core::cu::{}_strided<{}, int64_t>", lib_name(), i));
+    }
+    return std::make_pair(std::move(builder.os), std::move(kernel_names));
+  });
+
+  // Collapse contiguous dims to route to a faster kernel if possible. Also
+  // handle all broadcasting.
+  auto [contiguous, shape, strides_vec] =
+      compiled_collapse_contiguous_dims(inputs, outputs[0], is_constant_);
+
+  // Whether to use large index.
+  bool large = compiled_use_large_index(inputs, outputs, contiguous);
+
+  // Put inputs.
+  int strides_index = 1;
+  for (size_t i = 0; i < inputs.size(); ++i) {
+    if (is_constant_(i)) {
+      continue;
+    }
+    const auto& x = inputs[i];
+    mod.append_arg(x);
+    if (!contiguous && !is_scalar(x)) {
+      mod.append_arg(strides_vec[strides_index++]);
+    }
+  }
+
+  // Put outputs.
+  compiled_allocate_outputs(inputs, outputs, is_constant_, contiguous);
+  for (auto& x : outputs) {
+    mod.append_arg(x);
+  }
+
+  // Put shape and size.
+  if (!contiguous) {
+    mod.append_arg(shape);
+  }
+  if (large) {
+    mod.append_arg<int64_t>(outputs[0].data_size());
+  } else {
+    mod.append_arg<uint32_t>(outputs[0].data_size());
+  }
+
+  // Launch kernel.
+  const char* index_type = large ? "int64_t" : "uint32_t";
+  std::string kernel_name = fmt::format("mlx::core::cu::{}", lib_name());
+  if (contiguous) {
+    kernel_name += fmt::format("_contiguous<{}>", index_type);
+  } else {
+    kernel_name += fmt::format("_strided<{}, {}>", shape.size(), index_type);
+  }
+  auto& encoder = cu::get_command_encoder(s);
+  for (const auto& in : inputs) {
+    encoder.set_input_array(in);
+  }
+  for (const auto& out : outputs) {
+    encoder.set_output_array(out);
+  }
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    mod.launch_kernel(stream, kernel_name, outputs[0], large);
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/copy.cpp

@@ -1,26 +0,0 @@
-// Copyright © 2025 Apple Inc.
-
-#include "mlx/backend/gpu/copy.h"
-
-namespace mlx::core {
-
-void copy_gpu_inplace(
-    const array& in,
-    array& out,
-    const Shape& data_shape,
-    const Strides& strides_in_pre,
-    const Strides& strides_out_pre,
-    int64_t inp_offset,
-    int64_t out_offset,
-    CopyType ctype,
-    const Stream& s,
-    const std::optional<array>& dynamic_i_offset /* = std::nullopt */,
-    const std::optional<array>& dynamic_o_offset /* = std::nullopt */) {
-  throw std::runtime_error("copy_gpu_inplace not implemented in CUDA backend.");
-}
-
-void fill_gpu(const array& val, array& out, const Stream& s) {
-  throw std::runtime_error("fill_gpu not implemented in CUDA backend.");
-}
-
-} // namespace mlx::core

mlx/backend/cuda/copy.cu

@@ -0,0 +1,87 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/common/utils.h"
+#include "mlx/backend/cuda/copy/copy.cuh"
+
+namespace mlx::core {
+
+void copy_gpu_inplace(
+    const array& in,
+    array& out,
+    const Shape& shape,
+    const Strides& strides_in,
+    const Strides& strides_out,
+    int64_t offset_in,
+    int64_t offset_out,
+    CopyType ctype,
+    const Stream& s,
+    const std::optional<array>& dynamic_offset_in,
+    const std::optional<array>& dynamic_offset_out) {
+  if (out.size() == 0) {
+    return;
+  }
+
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(in);
+  encoder.set_output_array(out);
+  if (ctype == CopyType::Scalar || ctype == CopyType::Vector) {
+    copy_contiguous(encoder, ctype, in, out, offset_in, offset_out);
+    return;
+  }
+
+  if (ctype == CopyType::General || ctype == CopyType::GeneralGeneral) {
+    auto [shape_collapsed, strides_vec] = collapse_contiguous_dims(
+        shape, std::vector{strides_in, strides_out}, INT32_MAX);
+    if (ctype == CopyType::General) {
+      copy_general_input(
+          encoder,
+          ctype,
+          in,
+          out,
+          offset_in,
+          offset_out,
+          shape_collapsed,
+          strides_vec[0]);
+    } else {
+      if (dynamic_offset_in || dynamic_offset_out) {
+        copy_general_dynamic(
+            encoder,
+            ctype,
+            in,
+            out,
+            offset_in,
+            offset_out,
+            shape_collapsed,
+            strides_vec[0],
+            strides_vec[1],
+            dynamic_offset_in ? *dynamic_offset_in : array(0, int64),
+            dynamic_offset_out ? *dynamic_offset_out : array(0, int64));
+      } else {
+        copy_general(
+            encoder,
+            ctype,
+            in,
+            out,
+            offset_in,
+            offset_out,
+            shape_collapsed,
+            strides_vec[0],
+            strides_vec[1]);
+      }
+    }
+    return;
+  }
+}
+
+void fill_gpu(const array& in, array& out, const Stream& s) {
+  if (out.size() == 0) {
+    return;
+  }
+  out.set_data(allocator::malloc(out.nbytes()));
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(in);
+  encoder.set_output_array(out);
+  copy_contiguous(encoder, CopyType::Scalar, in, out, 0, 0);
+}
+
+} // namespace mlx::core

mlx/backend/cuda/copy/copy.cuh

@@ -0,0 +1,64 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/device/cast_op.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/backend/gpu/copy.h"
+#include "mlx/dtype_utils.h"
+
+namespace mlx::core {
+
+#define MLX_SWITCH_COPY_TYPES(in, out, InType, OutType, ...) \
+  MLX_SWITCH_ALL_TYPES(in.dtype(), CTYPE_IN, {               \
+    MLX_SWITCH_ALL_TYPES(out.dtype(), CTYPE_OUT, {           \
+      using InType = cuda_type_t<CTYPE_IN>;                  \
+      using OutType = cuda_type_t<CTYPE_OUT>;                \
+      __VA_ARGS__;                                           \
+    });                                                      \
+  })
+
+void copy_contiguous(
+    cu::CommandEncoder& encoder,
+    CopyType ctype,
+    const array& in,
+    array& out,
+    int64_t offset_in,
+    int64_t offset_out);
+
+void copy_general(
+    cu::CommandEncoder& encoder,
+    CopyType ctype,
+    const array& in,
+    array& out,
+    int64_t offset_in,
+    int64_t offset_out,
+    const Shape& shape,
+    const Strides& strides_in,
+    const Strides& strides_out);
+
+void copy_general_dynamic(
+    cu::CommandEncoder& encoder,
+    CopyType ctype,
+    const array& in,
+    array& out,
+    int64_t offset_in,
+    int64_t offset_out,
+    const Shape& shape,
+    const Strides& strides_in,
+    const Strides& strides_out,
+    const array& dynamic_offset_in,
+    const array& dynamic_offset_out);
+
+void copy_general_input(
+    cu::CommandEncoder& encoder,
+    CopyType ctype,
+    const array& in,
+    array& out,
+    int64_t offset_in,
+    int64_t offset_out,
+    const Shape& shape,
+    const Strides& strides_in);
+
+} // namespace mlx::core

mlx/backend/cuda/copy/copy_contiguous.cu

@@ -0,0 +1,57 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/copy/copy.cuh"
+
+#include <cooperative_groups.h>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+template <typename In, typename Out, typename IdxT>
+__global__ void copy_s(const In* in, Out* out, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    out[index] = CastOp<In, Out>{}(in[0]);
+  }
+}
+
+template <typename In, typename Out, typename IdxT>
+__global__ void copy_v(const In* in, Out* out, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    out[index] = CastOp<In, Out>{}(in[index]);
+  }
+}
+
+} // namespace cu
+
+void copy_contiguous(
+    cu::CommandEncoder& encoder,
+    CopyType ctype,
+    const array& in,
+    array& out,
+    int64_t in_offset,
+    int64_t out_offset) {
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_COPY_TYPES(in, out, InType, OutType, {
+      MLX_SWITCH_BOOL(out.data_size() > UINT32_MAX, LARGE, {
+        using IdxT = std::conditional_t<LARGE, int64_t, uint32_t>;
+        auto kernel = cu::copy_s<InType, OutType, IdxT>;
+        if (ctype == CopyType::Vector) {
+          kernel = cu::copy_v<InType, OutType, IdxT>;
+        }
+        auto [num_blocks, block_dims] = get_launch_args(
+            kernel, out.data_size(), out.shape(), out.strides(), LARGE);
+        kernel<<<num_blocks, block_dims, 0, stream>>>(
+            in.data<InType>() + in_offset,
+            out.data<OutType>() + out_offset,
+            out.data_size());
+      });
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/copy/copy_general.cu

@@ -0,0 +1,100 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/copy/copy.cuh"
+
+#include <cooperative_groups.h>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+template <typename In, typename Out, typename IdxT, int NDIM>
+__global__ void copy_gg_nd(
+    const In* in,
+    Out* out,
+    IdxT size,
+    const __grid_constant__ cuda::std::array<int32_t, NDIM> shape,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> strides_in,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> strides_out) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto [idx_in, idx_out] = elem_to_loc_nd<NDIM>(
+        index, shape.data(), strides_in.data(), strides_out.data());
+    out[idx_out] = CastOp<In, Out>{}(in[idx_in]);
+  }
+}
+
+template <typename In, typename Out, typename IdxT>
+__global__ void copy_gg(
+    const In* in,
+    Out* out,
+    IdxT size,
+    const __grid_constant__ Shape shape,
+    const __grid_constant__ Strides strides_in,
+    const __grid_constant__ Strides strides_out,
+    int ndim) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto [idx_in, idx_out] = elem_to_loc_4d(
+        index, shape.data(), strides_in.data(), strides_out.data(), ndim);
+    out[idx_out] = CastOp<In, Out>{}(in[idx_in]);
+  }
+}
+
+} // namespace cu
+
+void copy_general(
+    cu::CommandEncoder& encoder,
+    CopyType ctype,
+    const array& in,
+    array& out,
+    int64_t offset_in,
+    int64_t offset_out,
+    const Shape& shape,
+    const Strides& strides_in,
+    const Strides& strides_out) {
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_COPY_TYPES(in, out, InType, OutType, {
+      const InType* in_ptr = in.data<InType>() + offset_in;
+      OutType* out_ptr = out.data<OutType>() + offset_out;
+      bool large = in.data_size() > INT32_MAX || out.data_size() > INT32_MAX;
+      MLX_SWITCH_BOOL(large, LARGE, {
+        using IdxT = std::conditional_t<LARGE, int64_t, int32_t>;
+        int ndim = shape.size();
+        size_t data_size = 1;
+        for (auto& s : shape)
+          data_size *= s;
+        if (ndim <= 3) {
+          MLX_SWITCH_1_2_3(ndim, NDIM, {
+            auto kernel = cu::copy_gg_nd<InType, OutType, IdxT, NDIM>;
+            auto [num_blocks, block_dims] =
+                get_launch_args(kernel, data_size, shape, out.strides(), large);
+            kernel<<<num_blocks, block_dims, 0, stream>>>(
+                in_ptr,
+                out_ptr,
+                data_size,
+                const_param<NDIM>(shape),
+                const_param<NDIM>(strides_in),
+                const_param<NDIM>(strides_out));
+          });
+        } else { // ndim >= 4
+          auto kernel = cu::copy_gg<InType, OutType, IdxT>;
+          auto [num_blocks, block_dims] =
+              get_launch_args(kernel, data_size, shape, out.strides(), large);
+          kernel<<<num_blocks, block_dims, 0, stream>>>(
+              in_ptr,
+              out_ptr,
+              data_size,
+              const_param(shape),
+              const_param(strides_in),
+              const_param(strides_out),
+              ndim);
+        }
+      });
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/copy/copy_general_dynamic.cu

@@ -0,0 +1,105 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/copy/copy.cuh"
+
+#include <cooperative_groups.h>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+template <typename In, typename Out, typename IdxT, int NDIM>
+__global__ void copy_gg_dynamic_nd(
+    const In* in,
+    Out* out,
+    IdxT size,
+    const __grid_constant__ cuda::std::array<int32_t, NDIM> shape,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> strides_in,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> strides_out,
+    const int64_t* offset_in,
+    const int64_t* offset_out) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto [idx_in, idx_out] = elem_to_loc_nd<NDIM>(
+        index, shape.data(), strides_in.data(), strides_out.data());
+    out[idx_out + *offset_out] = CastOp<In, Out>{}(in[idx_in + *offset_in]);
+  }
+}
+
+template <typename In, typename Out, typename IdxT>
+__global__ void copy_gg_dynamic(
+    const In* in,
+    Out* out,
+    IdxT size,
+    const __grid_constant__ Shape shape,
+    const __grid_constant__ Strides strides_in,
+    const __grid_constant__ Strides strides_out,
+    int ndim,
+    const int64_t* offset_in,
+    const int64_t* offset_out) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto [idx_in, idx_out] = elem_to_loc_4d(
+        index, shape.data(), strides_in.data(), strides_out.data(), ndim);
+    out[idx_out + *offset_out] = CastOp<In, Out>{}(in[idx_in + *offset_in]);
+  }
+}
+
+} // namespace cu
+
+void copy_general_dynamic(
+    cu::CommandEncoder& encoder,
+    CopyType ctype,
+    const array& in,
+    array& out,
+    int64_t offset_in,
+    int64_t offset_out,
+    const Shape& shape,
+    const Strides& strides_in,
+    const Strides& strides_out,
+    const array& dynamic_offset_in,
+    const array& dynamic_offset_out) {
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_COPY_TYPES(in, out, InType, OutType, {
+      const InType* in_ptr = in.data<InType>() + offset_in;
+      OutType* out_ptr = out.data<OutType>() + offset_out;
+      bool large = in.data_size() > INT32_MAX || out.data_size() > INT32_MAX;
+      MLX_SWITCH_BOOL(large, LARGE, {
+        using IdxT = std::conditional_t<LARGE, int64_t, int32_t>;
+        int ndim = shape.size();
+        if (ndim <= 3) {
+          MLX_SWITCH_1_2_3(ndim, NDIM, {
+            auto kernel = cu::copy_gg_dynamic_nd<InType, OutType, IdxT, NDIM>;
+            auto [num_blocks, block_dims] = get_launch_args(kernel, out, large);
+            kernel<<<num_blocks, block_dims, 0, stream>>>(
+                in_ptr,
+                out_ptr,
+                out.size(),
+                const_param<NDIM>(shape),
+                const_param<NDIM>(strides_in),
+                const_param<NDIM>(strides_out),
+                dynamic_offset_in.data<int64_t>(),
+                dynamic_offset_out.data<int64_t>());
+          });
+        } else { // ndim >= 4
+          auto kernel = cu::copy_gg_dynamic<InType, OutType, IdxT>;
+          auto [num_blocks, block_dims] = get_launch_args(kernel, out, large);
+          kernel<<<num_blocks, block_dims, 0, stream>>>(
+              in_ptr,
+              out_ptr,
+              out.size(),
+              const_param(shape),
+              const_param(strides_in),
+              const_param(strides_out),
+              ndim,
+              dynamic_offset_in.data<int64_t>(),
+              dynamic_offset_out.data<int64_t>());
+        }
+      });
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/copy/copy_general_input.cu

@@ -0,0 +1,88 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/copy/copy.cuh"
+
+#include <cooperative_groups.h>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+template <typename In, typename Out, typename IdxT, int NDIM>
+__global__ void copy_g_nd(
+    const In* in,
+    Out* out,
+    IdxT size,
+    const __grid_constant__ cuda::std::array<int32_t, NDIM> shape,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> strides_in) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    IdxT idx_in = elem_to_loc_nd<NDIM>(index, shape.data(), strides_in.data());
+    out[index] = CastOp<In, Out>{}(in[idx_in]);
+  }
+}
+
+template <typename In, typename Out, typename IdxT>
+__global__ void copy_g(
+    const In* in,
+    Out* out,
+    IdxT size,
+    const __grid_constant__ Shape shape,
+    const __grid_constant__ Strides strides_in,
+    int ndim) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    IdxT idx_in = elem_to_loc_4d(index, shape.data(), strides_in.data(), ndim);
+    out[index] = CastOp<In, Out>{}(in[idx_in]);
+  }
+}
+
+} // namespace cu
+
+void copy_general_input(
+    cu::CommandEncoder& encoder,
+    CopyType ctype,
+    const array& in,
+    array& out,
+    int64_t offset_in,
+    int64_t offset_out,
+    const Shape& shape,
+    const Strides& strides_in) {
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_COPY_TYPES(in, out, InType, OutType, {
+      const InType* in_ptr = in.data<InType>() + offset_in;
+      OutType* out_ptr = out.data<OutType>() + offset_out;
+      bool large = in.data_size() > INT32_MAX || out.data_size() > INT32_MAX;
+      MLX_SWITCH_BOOL(large, LARGE, {
+        using IdxT = std::conditional_t<LARGE, int64_t, int32_t>;
+        int ndim = shape.size();
+        if (ndim <= 3) {
+          MLX_SWITCH_1_2_3(ndim, NDIM, {
+            auto kernel = cu::copy_g_nd<InType, OutType, IdxT, NDIM>;
+            auto [num_blocks, block_dims] = get_launch_args(kernel, out, large);
+            kernel<<<num_blocks, block_dims, 0, stream>>>(
+                in_ptr,
+                out_ptr,
+                out.size(),
+                const_param<NDIM>(shape),
+                const_param<NDIM>(strides_in));
+          });
+        } else { // ndim >= 4
+          auto kernel = cu::copy_g<InType, OutType, IdxT>;
+          auto [num_blocks, block_dims] = get_launch_args(kernel, out, large);
+          kernel<<<num_blocks, block_dims, 0, stream>>>(
+              in_ptr,
+              out_ptr,
+              out.size(),
+              const_param(shape),
+              const_param(strides_in),
+              ndim);
+        }
+      });
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/cuda.cpp

@@ -0,0 +1,11 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/cuda.h"
+
+namespace mlx::core::cu {
+
+bool is_available() {
+  return true;
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/cuda.h

@@ -0,0 +1,10 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+namespace mlx::core::cu {
+
+/* Check if the CUDA backend is available. */
+bool is_available();
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device.cpp

@@ -6,6 +6,7 @@
 
 #include <fmt/format.h>
 #include <nvtx3/nvtx3.hpp>
+#include <future>
 
 namespace mlx::core {
 
@@ -34,14 +35,26 @@ CommandEncoder& DeviceStream::get_encoder() {
 }
 
 Device::Device(int device) : device_(device) {
+  CHECK_CUDA_ERROR(cudaDeviceGetAttribute(
+      &compute_capability_major_, cudaDevAttrComputeCapabilityMajor, device_));
+  CHECK_CUDA_ERROR(cudaDeviceGetAttribute(
+      &compute_capability_minor_, cudaDevAttrComputeCapabilityMinor, device_));
   // Validate the requirements of device.
   int attr = 0;
-  cudaDeviceGetAttribute(&attr, cudaDevAttrConcurrentManagedAccess, device_);
+  CHECK_CUDA_ERROR(cudaDeviceGetAttribute(
+      &attr, cudaDevAttrConcurrentManagedAccess, device_));
   if (attr != 1) {
     throw std::runtime_error(fmt::format(
         "Device {} does not support synchronization in managed memory.",
         device_));
   }
+  // The cublasLt handle is used by matmul.
+  make_current();
+  cublasLtCreate(&lt_);
+}
+
+Device::~Device() {
+  cublasLtDestroy(lt_);
 }
 
 void Device::make_current() {
@@ -95,6 +108,16 @@ void CommandEncoder::commit() {
   worker_.commit(stream_.last_cuda_stream());
 }
 
+void CommandEncoder::synchronize() {
+  stream().synchronize();
+  auto p = std::make_shared<std::promise<void>>();
+  std::future<void> f = p->get_future();
+  add_completed_handler([p = std::move(p)]() { p->set_value(); });
+  worker_.end_batch();
+  commit();
+  f.wait();
+}
+
 Device& device(mlx::core::Device device) {
   static std::unordered_map<int, Device> devices;
   auto it = devices.find(device.index);

mlx/backend/cuda/device.h

@@ -6,6 +6,7 @@
 #include "mlx/backend/cuda/worker.h"
 #include "mlx/stream.h"
 
+#include <cublasLt.h>
 #include <thrust/execution_policy.h>
 
 #include <unordered_map>
@@ -46,6 +47,7 @@ class DeviceStream {
 class Device {
  public:
   explicit Device(int device);
+  ~Device();
 
   Device(const Device&) = delete;
   Device& operator=(const Device&) = delete;
@@ -58,9 +60,21 @@ class Device {
   int cuda_device() const {
     return device_;
   }
+  int compute_capability_major() const {
+    return compute_capability_major_;
+  }
+  int compute_capability_minor() const {
+    return compute_capability_minor_;
+  }
+  cublasLtHandle_t lt_handle() const {
+    return lt_;
+  }
 
  private:
   int device_;
+  int compute_capability_major_;
+  int compute_capability_minor_;
+  cublasLtHandle_t lt_;
   std::unordered_map<int, DeviceStream> streams_;
 };
 
@@ -109,6 +123,9 @@ class CommandEncoder {
     return has_gpu_work_;
   }
 
+  // Wait until kernels and completion handlers are finished
+  void synchronize();
+
  private:
   Device& device_;
   DeviceStream& stream_;

mlx/backend/cuda/device/atomic_ops.cuh

@@ -0,0 +1,72 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include "mlx/backend/cuda/device/cucomplex_math.cuh"
+#include "mlx/backend/cuda/device/fp16_math.cuh"
+
+#include <cuda/atomic>
+
+namespace mlx::core::cu {
+
+template <typename T>
+inline __device__ void atomic_add(T* out, T val) {
+  cuda::atomic_ref<T, cuda::thread_scope_device> ref(*out);
+  ref += val;
+}
+
+template <typename T>
+inline __device__ void atomic_prod(T* out, T val) {
+  cuda::atomic_ref<T, cuda::thread_scope_device> ref(*out);
+  T old = ref.load();
+  while (!ref.compare_exchange_strong(old, old * val)) {
+  }
+}
+
+template <typename T>
+inline __device__ void atomic_max(T* out, T val) {
+  cuda::atomic_ref<T, cuda::thread_scope_device> ref(*out);
+  ref.fetch_max(val);
+}
+
+template <typename T>
+inline __device__ void atomic_min(T* out, T val) {
+  cuda::atomic_ref<T, cuda::thread_scope_device> ref(*out);
+  ref.fetch_min(val);
+}
+
+// Somehow cuda::atomic_ref does not provide atomic add for following types.
+template <typename T>
+inline __device__ void atomic_add_general(T* out, T val) {
+  cuda::atomic_ref<T, cuda::thread_scope_device> ref(*out);
+  T old = ref.load();
+  while (!ref.compare_exchange_strong(old, old + val)) {
+  }
+}
+
+inline __device__ void atomic_add(__half* out, __half val) {
+  atomicAdd(out, val);
+}
+
+inline __device__ void atomic_add(cuComplex* out, cuComplex val) {
+#if __CUDA_ARCH__ < 900
+  atomic_add_general(out, val);
+#else
+  atomicAdd(out, val);
+#endif
+}
+
+inline __device__ void atomic_add(__nv_bfloat16* out, __nv_bfloat16 val) {
+#if __CUDA_ARCH__ < 800
+#if CCCL_VERSION >= 2008000
+  atomic_add_general(out, val);
+#else
+  bool cccl_version_too_old_for_bfloat16_atomic_add = false;
+  assert(cccl_version_too_old_for_bfloat16_atomic_add);
+#endif
+#else
+  atomicAdd(out, val);
+#endif
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/binary_ops.cuh

@@ -0,0 +1,307 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device/cucomplex_math.cuh"
+#include "mlx/backend/cuda/device/fp16_math.cuh"
+#include "mlx/backend/cuda/device/utils.cuh"
+
+#include <cuComplex.h>
+#include <cuda/std/array>
+
+namespace mlx::core::cu {
+
+struct Add {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x + y;
+  }
+};
+
+struct FloorDivide {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    if constexpr (cuda::std::is_integral_v<T>) {
+      return x / y;
+    } else {
+      return truncf(x / y);
+    }
+  }
+};
+
+struct Divide {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x / y;
+  }
+};
+
+struct Remainder {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    if constexpr (cuda::std::is_integral_v<T>) {
+      if constexpr (cuda::std::is_signed_v<T>) {
+        auto r = x % y;
+        if (r != 0 && (r < 0 != y < 0)) {
+          r += y;
+        }
+        return r;
+      } else {
+        return x % y;
+      }
+    } else if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      return x % y;
+    } else {
+      T r = fmod(x, y);
+      if (r != 0 && (r < 0 != y < 0)) {
+        r = r + y;
+      }
+      return r;
+    }
+  }
+};
+
+struct Equal {
+  template <typename T>
+  __device__ bool operator()(T x, T y) {
+    return x == y;
+  }
+};
+
+struct NaNEqual {
+  template <typename T>
+  __device__ bool operator()(T x, T y) {
+    if constexpr (std::is_same_v<T, cuComplex>) {
+      return x == y ||
+          (isnan(cuCrealf(x)) && isnan(cuCrealf(y)) && isnan(cuCimagf(x)) &&
+           isnan(cuCimagf(y))) ||
+          (cuCrealf(x) == cuCrealf(y) && isnan(cuCimagf(x)) &&
+           isnan(cuCimagf(y))) ||
+          (isnan(cuCrealf(x)) && isnan(cuCrealf(y)) &&
+           cuCimagf(x) == cuCimagf(y));
+    } else {
+      return x == y || (isnan(x) && isnan(y));
+    }
+  }
+};
+
+struct Greater {
+  template <typename T>
+  __device__ bool operator()(T x, T y) {
+    return x > y;
+  }
+};
+
+struct GreaterEqual {
+  template <typename T>
+  __device__ bool operator()(T x, T y) {
+    return x >= y;
+  }
+};
+
+struct Less {
+  template <typename T>
+  __device__ bool operator()(T x, T y) {
+    return x < y;
+  }
+};
+
+struct LessEqual {
+  template <typename T>
+  __device__ bool operator()(T x, T y) {
+    return x <= y;
+  }
+};
+
+struct LogAddExp {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    if (isnan(x) || isnan(y)) {
+      return cuda::std::numeric_limits<T>::quiet_NaN();
+    }
+    T maxval = max(x, y);
+    T minval = min(x, y);
+    return (minval == -cuda::std::numeric_limits<T>::infinity() ||
+            maxval == cuda::std::numeric_limits<T>::infinity())
+        ? maxval
+        : T(float(maxval) + log1p(expf(minval - maxval)));
+  };
+
+  __device__ cuComplex operator()(cuComplex x, cuComplex y) {
+    if (isnan(cuCrealf(x)) || isnan(cuCimagf(x)) || isnan(cuCrealf(y)) ||
+        isnan(cuCimagf(y))) {
+      return {
+          cuda::std::numeric_limits<float>::quiet_NaN(),
+          cuda::std::numeric_limits<float>::quiet_NaN()};
+    }
+    float inf = cuda::std::numeric_limits<float>::infinity();
+    auto maxval = x > y ? x : y;
+    auto minval = x < y ? x : y;
+    if (cuCrealf(minval) == -inf || cuCrealf(maxval) == inf)
+      return maxval;
+    float m = exp(cuCrealf(minval) - cuCrealf(maxval));
+    cuComplex dexp{
+        m * cos(cuCimagf(minval) - cuCimagf(maxval)),
+        m * sin(cuCimagf(minval) - cuCimagf(maxval)),
+    };
+    return maxval + log1p(dexp);
+  }
+};
+
+struct Maximum {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    if constexpr (cuda::std::is_integral_v<T>) {
+      return max(x, y);
+    } else if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      if (isnan(cuCrealf(x)) || isnan(cuCimagf(x))) {
+        return x;
+      }
+      return x > y ? x : y;
+    } else {
+      if (isnan(x)) {
+        return x;
+      }
+      return x > y ? x : y;
+    }
+  }
+};
+
+struct Minimum {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    if constexpr (cuda::std::is_integral_v<T>) {
+      return min(x, y);
+    } else if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      if (isnan(cuCrealf(x)) || isnan(cuCimagf(x))) {
+        return x;
+      }
+      return x < y ? x : y;
+    } else {
+      if (isnan(x)) {
+        return x;
+      }
+      return x < y ? x : y;
+    }
+  }
+};
+
+struct Multiply {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x * y;
+  }
+};
+
+struct NotEqual {
+  template <typename T>
+  __device__ bool operator()(T x, T y) {
+    if constexpr (std::is_same_v<T, cuComplex>) {
+      return cuCrealf(x) != cuCrealf(y) || cuCimagf(x) != cuCimagf(y);
+    } else {
+      return x != y;
+    }
+  }
+};
+
+struct Power {
+  template <typename T>
+  __device__ T operator()(T base, T exp) {
+    if constexpr (cuda::std::is_integral_v<T>) {
+      T res = 1;
+      while (exp) {
+        if (exp & 1) {
+          res *= base;
+        }
+        exp >>= 1;
+        base *= base;
+      }
+      return res;
+    } else if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      if (base.y == 0 && base.x == 0) {
+        if (isnan(exp.x) || isnan(exp.y)) {
+          auto nan = cuda::std::numeric_limits<float>::quiet_NaN();
+          return make_cuFloatComplex(nan, nan);
+        }
+        return make_cuFloatComplex(0.0, 0.0);
+      }
+      auto x_theta = atan2f(base.y, base.x);
+      auto x_ln_r = 0.5 * logf(base.x * base.x + base.y * base.y);
+      auto mag = expf(exp.x * x_ln_r - exp.y * x_theta);
+      auto phase = exp.y * x_ln_r + exp.x * x_theta;
+      return make_cuFloatComplex(mag * cosf(phase), mag * sinf(phase));
+    } else {
+      return powf(base, exp);
+    }
+  }
+};
+
+struct Subtract {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x - y;
+  }
+};
+
+struct LogicalAnd {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x && y;
+  };
+};
+
+struct LogicalOr {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x || y;
+  };
+};
+
+struct BitwiseAnd {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x & y;
+  };
+};
+
+struct BitwiseOr {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x | y;
+  };
+};
+
+struct BitwiseXor {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x ^ y;
+  };
+};
+
+struct LeftShift {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x << y;
+  };
+};
+
+struct RightShift {
+  template <typename T>
+  __device__ T operator()(T x, T y) {
+    return x >> y;
+  };
+};
+
+struct ArcTan2 {
+  template <typename T>
+  __device__ T operator()(T y, T x) {
+    return atan2f(y, x);
+  }
+};
+
+struct DivMod {
+  template <typename T>
+  __device__ cuda::std::array<T, 2> operator()(T x, T y) {
+    return {FloorDivide{}(x, y), Remainder{}(x, y)};
+  };
+};
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/cast_op.cuh

@@ -0,0 +1,71 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include <cuComplex.h>
+#include <thrust/iterator/transform_iterator.h>
+
+namespace mlx::core::cu {
+
+// An op that does static_cast, with custom conversions for some types.
+template <typename SrcT, typename DstT, typename = void>
+struct CastOp {
+  static constexpr bool is_castable = cuda::std::is_convertible_v<SrcT, DstT>;
+
+  __device__ DstT operator()(SrcT x) {
+    return static_cast<DstT>(x);
+  }
+};
+
+// Converting a complex number to real number discards the imaginary part.
+template <typename DstT>
+struct CastOp<
+    cuComplex,
+    DstT,
+    cuda::std::enable_if_t<!cuda::std::is_same_v<cuComplex, DstT>>> {
+  static constexpr bool is_castable = cuda::std::is_convertible_v<float, DstT>;
+
+  __device__ DstT operator()(cuComplex x) {
+    static_assert(!cuda::std::is_same_v<cuComplex, DstT>);
+    return static_cast<DstT>(cuCrealf(x));
+  }
+};
+
+// Allow converting a real number to complex number.
+template <typename SrcT>
+struct CastOp<
+    SrcT,
+    cuComplex,
+    cuda::std::enable_if_t<!cuda::std::is_same_v<SrcT, cuComplex>>> {
+  static constexpr bool is_castable = cuda::std::is_convertible_v<SrcT, float>;
+
+  __device__ cuComplex operator()(SrcT x) {
+    static_assert(!cuda::std::is_same_v<SrcT, cuComplex>);
+    return cuComplex{static_cast<float>(x), 0};
+  }
+};
+
+template <typename SrcT, typename DstT>
+struct CastOp<
+    SrcT,
+    DstT,
+    cuda::std::enable_if_t<cuda::std::is_same_v<SrcT, DstT>>> {
+  static constexpr bool is_castable = true;
+
+  __device__ SrcT operator()(SrcT x) {
+    return x;
+  }
+};
+
+// Return an iterator that cast the value to DstT using CastOp.
+template <typename DstT, typename Iterator>
+__host__ __device__ auto make_cast_iterator(Iterator it) {
+  using SrcT = typename cuda::std::iterator_traits<Iterator>::value_type;
+  if constexpr (std::is_same_v<SrcT, DstT>) {
+    return it;
+  } else {
+    return thrust::make_transform_iterator(it, CastOp<SrcT, DstT>{});
+  }
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/config.h

@@ -0,0 +1,12 @@
+// Copyright © 2025 Apple Inc.
+
+// This file is used by both CUDA kernel code and host-only C++ code.
+
+#pragma once
+
+// The maximum dimensions of shape/strides passed as kernel parameters.
+#define MAX_NDIM 10
+
+// All existing NVIDIA hardware has a fixed 32 warp size. Though a built-in
+// warpSize variable exists, using it would prevent compile-time optimizations.
+#define WARP_SIZE 32

mlx/backend/cuda/device/cucomplex_math.cuh

@@ -0,0 +1,240 @@
+// Copyright © 2025 Apple Inc.
+// Copyright © 2017-2024 The Simons Foundation, Inc.
+//
+// FINUFFT is licensed under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance with the
+// License.  You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+//
+// Forked from
+// https://github.com/flatironinstitute/finufft/blob/main/include/cufinufft/contrib/helper_math.h
+
+#pragma once
+
+#include <cuComplex.h>
+
+// This header provides some helper functions for cuComplex types.
+// It mainly wraps existing CUDA implementations to provide operator overloads
+// e.g. cuAdd, cuSub, cuMul, cuDiv, cuCreal, cuCimag, cuCabs, cuCarg, cuConj are
+// all provided by CUDA
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator+(const cuDoubleComplex& a, const cuDoubleComplex& b) {
+  return cuCadd(a, b);
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator-(const cuDoubleComplex& a, const cuDoubleComplex& b) {
+  return cuCsub(a, b);
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator*(const cuDoubleComplex& a, const cuDoubleComplex& b) {
+  return cuCmul(a, b);
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator/(const cuDoubleComplex& a, const cuDoubleComplex& b) {
+  return cuCdiv(a, b);
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator%(const cuDoubleComplex& a, const cuDoubleComplex& b) {
+  double r = cuCreal(a) - (floorf(cuCreal(a) / cuCreal(b)) * cuCreal(b));
+  double i = cuCimag(a) - (floorf(cuCimag(a) / cuCimag(b)) * cuCimag(b));
+  return make_cuDoubleComplex(r, i);
+}
+
+__forceinline__ __host__ __device__ bool operator==(
+    const cuDoubleComplex& a,
+    const cuDoubleComplex& b) {
+  return cuCreal(a) == cuCreal(b) && cuCimag(a) == cuCimag(b);
+}
+
+__forceinline__ __host__ __device__ bool operator!=(
+    const cuDoubleComplex& a,
+    const cuDoubleComplex& b) {
+  return !(a == b);
+}
+
+__forceinline__ __host__ __device__ bool operator>(
+    const cuDoubleComplex& a,
+    const cuDoubleComplex& b) {
+  double mag_a = sqrt(cuCreal(a) * cuCreal(a) + cuCimag(a) * cuCimag(a));
+  double mag_b = sqrt(cuCreal(b) * cuCreal(b) + cuCimag(b) * cuCimag(b));
+  return mag_a > mag_b;
+}
+
+__forceinline__ __host__ __device__ bool operator>=(
+    const cuDoubleComplex& a,
+    const cuDoubleComplex& b) {
+  return a > b || a == b;
+}
+
+__forceinline__ __host__ __device__ bool operator<(
+    const cuDoubleComplex& a,
+    const cuDoubleComplex& b) {
+  return b > a;
+}
+
+__forceinline__ __host__ __device__ bool operator<=(
+    const cuDoubleComplex& a,
+    const cuDoubleComplex& b) {
+  return b > a || a == b;
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator+(const cuDoubleComplex& a, double b) {
+  return make_cuDoubleComplex(cuCreal(a) + b, cuCimag(a));
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator+(double a, const cuDoubleComplex& b) {
+  return make_cuDoubleComplex(a + cuCreal(b), cuCimag(b));
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator-(const cuDoubleComplex& a, double b) {
+  return make_cuDoubleComplex(cuCreal(a) - b, cuCimag(a));
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator-(double a, const cuDoubleComplex& b) {
+  return make_cuDoubleComplex(a - cuCreal(b), -cuCimag(b));
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator*(const cuDoubleComplex& a, double b) {
+  return make_cuDoubleComplex(cuCreal(a) * b, cuCimag(a) * b);
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator*(double a, const cuDoubleComplex& b) {
+  return make_cuDoubleComplex(a * cuCreal(b), a * cuCimag(b));
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator/(const cuDoubleComplex& a, double b) {
+  return make_cuDoubleComplex(cuCreal(a) / b, cuCimag(a) / b);
+}
+
+__forceinline__ __host__ __device__ cuDoubleComplex
+operator/(double a, const cuDoubleComplex& b) {
+  double denom = cuCreal(b) * cuCreal(b) + cuCimag(b) * cuCimag(b);
+  return make_cuDoubleComplex(
+      (a * cuCreal(b)) / denom, (-a * cuCimag(b)) / denom);
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator+(const cuFloatComplex& a, const cuFloatComplex& b) {
+  return cuCaddf(a, b);
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator-(const cuFloatComplex& a, const cuFloatComplex& b) {
+  return cuCsubf(a, b);
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator*(const cuFloatComplex& a, const cuFloatComplex& b) {
+  return cuCmulf(a, b);
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator/(const cuFloatComplex& a, const cuFloatComplex& b) {
+  return cuCdivf(a, b);
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator%(const cuFloatComplex& a, const cuFloatComplex& b) {
+  float r = cuCrealf(a) - (floorf(cuCrealf(a) / cuCrealf(b)) * cuCrealf(b));
+  float i = cuCimagf(a) - (floorf(cuCimagf(a) / cuCimagf(b)) * cuCimagf(b));
+  return make_cuFloatComplex(r, i);
+}
+
+__forceinline__ __host__ __device__ bool operator==(
+    const cuFloatComplex& a,
+    const cuFloatComplex& b) {
+  return cuCrealf(a) == cuCrealf(b) && cuCimagf(a) == cuCimagf(b);
+}
+
+__forceinline__ __host__ __device__ bool operator!=(
+    const cuFloatComplex& a,
+    const cuFloatComplex& b) {
+  return !(a == b);
+}
+
+__forceinline__ __host__ __device__ bool operator>(
+    const cuFloatComplex& a,
+    const cuFloatComplex& b) {
+  float mag_a = sqrt(cuCrealf(a) * cuCrealf(a) + cuCimagf(a) * cuCimagf(a));
+  float mag_b = sqrt(cuCrealf(b) * cuCrealf(b) + cuCimagf(b) * cuCimagf(b));
+  return mag_a > mag_b;
+}
+
+__forceinline__ __host__ __device__ bool operator>=(
+    const cuFloatComplex& a,
+    const cuFloatComplex& b) {
+  return a > b || a == b;
+}
+
+__forceinline__ __host__ __device__ bool operator<(
+    const cuFloatComplex& a,
+    const cuFloatComplex& b) {
+  return b > a;
+}
+
+__forceinline__ __host__ __device__ bool operator<=(
+    const cuFloatComplex& a,
+    const cuFloatComplex& b) {
+  return b > a || a == b;
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator+(const cuFloatComplex& a, float b) {
+  return make_cuFloatComplex(cuCrealf(a) + b, cuCimagf(a));
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator+(float a, const cuFloatComplex& b) {
+  return make_cuFloatComplex(a + cuCrealf(b), cuCimagf(b));
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator-(const cuFloatComplex& a, float b) {
+  return make_cuFloatComplex(cuCrealf(a) - b, cuCimagf(a));
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator-(float a, const cuFloatComplex& b) {
+  return make_cuFloatComplex(a - cuCrealf(b), -cuCimagf(b));
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator*(const cuFloatComplex& a, float b) {
+  return make_cuFloatComplex(cuCrealf(a) * b, cuCimagf(a) * b);
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator*(float a, const cuFloatComplex& b) {
+  return make_cuFloatComplex(a * cuCrealf(b), a * cuCimagf(b));
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator/(const cuFloatComplex& a, float b) {
+  return make_cuFloatComplex(cuCrealf(a) / b, cuCimagf(a) / b);
+}
+
+__forceinline__ __host__ __device__ cuFloatComplex
+operator/(float a, const cuFloatComplex& b) {
+  float denom = cuCrealf(b) * cuCrealf(b) + cuCimagf(b) * cuCimagf(b);
+  return make_cuFloatComplex(
+      (a * cuCrealf(b)) / denom, (-a * cuCimagf(b)) / denom);
+}

mlx/backend/cuda/device/fp16_math.cuh

@@ -0,0 +1,194 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include <cuda_bf16.h>
+#include <cuda_fp16.h>
+#include <cuda/std/limits>
+#include <cuda/std/type_traits>
+
+namespace mlx::core::cu {
+
+///////////////////////////////////////////////////////////////////////////////
+// Unary ops for half types.
+///////////////////////////////////////////////////////////////////////////////
+
+#if CUDART_VERSION < 12000 && __CUDA_ARCH__ < 800
+#define MLX_DEFINE_UNARY_OP(NAME, HALF_OP)           \
+  template <typename T>                              \
+  __forceinline__ __device__ auto NAME(T x) {        \
+    if constexpr (cuda::std::is_same_v<T, __half>) { \
+      return HALF_OP(x);                             \
+    } else {                                         \
+      return ::NAME(x);                              \
+    }                                                \
+  }
+#else
+#define MLX_DEFINE_UNARY_OP(NAME, HALF_OP)                         \
+  template <typename T>                                            \
+  __forceinline__ __device__ auto NAME(T x) {                      \
+    if constexpr (cuda::std::is_same_v<T, __half>) {               \
+      return HALF_OP(x);                                           \
+    } else if constexpr (cuda::std::is_same_v<T, __nv_bfloat16>) { \
+      return HALF_OP(x);                                           \
+    } else {                                                       \
+      return ::NAME(x);                                            \
+    }                                                              \
+  }
+#endif
+
+#define MLX_DEFINE_UNARY_OP_FALLBCK(NAME)                          \
+  template <typename T>                                            \
+  __forceinline__ __device__ auto NAME(T x) {                      \
+    if constexpr (cuda::std::is_same_v<T, __half>) {               \
+      return ::NAME(__half2float(x));                              \
+    } else if constexpr (cuda::std::is_same_v<T, __nv_bfloat16>) { \
+      return ::NAME(__bfloat162float(x));                          \
+    } else {                                                       \
+      return ::NAME(x);                                            \
+    }                                                              \
+  }
+
+MLX_DEFINE_UNARY_OP(abs, __habs)
+MLX_DEFINE_UNARY_OP(ceil, hceil)
+MLX_DEFINE_UNARY_OP(cos, hcos)
+MLX_DEFINE_UNARY_OP(exp, hexp)
+MLX_DEFINE_UNARY_OP(floor, hfloor)
+MLX_DEFINE_UNARY_OP(isnan, __hisnan)
+MLX_DEFINE_UNARY_OP(log, hlog)
+MLX_DEFINE_UNARY_OP(log2, hlog2)
+MLX_DEFINE_UNARY_OP(log10, hlog10)
+MLX_DEFINE_UNARY_OP(rint, hrint)
+MLX_DEFINE_UNARY_OP(rsqrt, hrsqrt)
+MLX_DEFINE_UNARY_OP(sin, hsin)
+MLX_DEFINE_UNARY_OP(sqrt, hsqrt)
+MLX_DEFINE_UNARY_OP_FALLBCK(acos)
+MLX_DEFINE_UNARY_OP_FALLBCK(acosh)
+MLX_DEFINE_UNARY_OP_FALLBCK(asin)
+MLX_DEFINE_UNARY_OP_FALLBCK(asinh)
+MLX_DEFINE_UNARY_OP_FALLBCK(atan)
+MLX_DEFINE_UNARY_OP_FALLBCK(atanh)
+MLX_DEFINE_UNARY_OP_FALLBCK(cosh)
+MLX_DEFINE_UNARY_OP_FALLBCK(log1p)
+MLX_DEFINE_UNARY_OP_FALLBCK(sinh)
+MLX_DEFINE_UNARY_OP_FALLBCK(tan)
+#if __CUDA_ARCH__ >= 1280
+MLX_DEFINE_UNARY_OP(tanh, htanh)
+#else
+MLX_DEFINE_UNARY_OP_FALLBCK(tanh)
+#endif
+
+#undef MLX_DEFINE_UNARY_OP
+#undef MLX_DEFINE_UNARY_OP_FALLBCK
+
+///////////////////////////////////////////////////////////////////////////////
+// Binary ops for half types.
+///////////////////////////////////////////////////////////////////////////////
+
+#if CUDART_VERSION < 12000 && __CUDA_ARCH__ < 800
+#define MLX_DEFINE_BINARY_OP(NAME, HALF_OP)          \
+  template <typename T>                              \
+  __forceinline__ __device__ auto NAME(T x, T y) {   \
+    if constexpr (cuda::std::is_same_v<T, __half>) { \
+      return HALF_OP(x, y);                          \
+    } else {                                         \
+      return ::NAME(x, y);                           \
+    }                                                \
+  }
+#else
+#define MLX_DEFINE_BINARY_OP(NAME, HALF_OP)                        \
+  template <typename T>                                            \
+  __forceinline__ __device__ auto NAME(T x, T y) {                 \
+    if constexpr (cuda::std::is_same_v<T, __half>) {               \
+      return HALF_OP(x, y);                                        \
+    } else if constexpr (cuda::std::is_same_v<T, __nv_bfloat16>) { \
+      return HALF_OP(x, y);                                        \
+    } else {                                                       \
+      return ::NAME(x, y);                                         \
+    }                                                              \
+  }
+#endif
+
+MLX_DEFINE_BINARY_OP(max, __hmax)
+MLX_DEFINE_BINARY_OP(min, __hmin)
+
+#undef MLX_DEFINE_BINARY_OP
+
+template <typename T>
+__forceinline__ __device__ T fmod(T x, T y) {
+  if constexpr (cuda::std::is_same_v<T, __half>) {
+    return __float2half(::fmod(__half2float(x), __half2float(y)));
+#if CUDART_VERSION >= 12000 || __CUDA_ARCH__ >= 800
+  } else if constexpr (cuda::std::is_same_v<T, __nv_bfloat16>) {
+    return __float2bfloat16(::fmod(__bfloat162float(x), __bfloat162float(y)));
+#endif
+  } else {
+    return ::fmod(x, y);
+  }
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// Additional C++ operator overrides between half types and native types.
+///////////////////////////////////////////////////////////////////////////////
+
+template <typename T, typename U>
+constexpr bool is_integral_except =
+    cuda::std::is_integral_v<T> && !cuda::std::is_same_v<T, U>;
+
+template <typename T, typename U>
+constexpr bool is_arithmetic_except =
+    cuda::std::is_arithmetic_v<T> && !cuda::std::is_same_v<T, U>;
+
+#define MLX_DEFINE_HALF_OP(HALF, HALF2FLOAT, FLOAT2HALF, OP)          \
+  template <                                                          \
+      typename T,                                                     \
+      typename = cuda::std::enable_if_t<is_integral_except<T, HALF>>> \
+  __forceinline__ __device__ HALF operator OP(HALF x, T y) {          \
+    return FLOAT2HALF(HALF2FLOAT(x) OP static_cast<float>(y));        \
+  }                                                                   \
+  template <                                                          \
+      typename T,                                                     \
+      typename = cuda::std::enable_if_t<is_integral_except<T, HALF>>> \
+  __forceinline__ __device__ HALF operator OP(T x, HALF y) {          \
+    return FLOAT2HALF(static_cast<float>(x) OP HALF2FLOAT(y));        \
+  }
+
+#define MLX_DEFINE_HALF_CMP(HALF, HALF2FLOAT, OP)                       \
+  template <                                                            \
+      typename T,                                                       \
+      typename = cuda::std::enable_if_t<is_arithmetic_except<T, HALF>>> \
+  __forceinline__ __device__ bool operator OP(HALF x, T y) {            \
+    return HALF2FLOAT(x) OP static_cast<float>(y);                      \
+  }                                                                     \
+  template <                                                            \
+      typename T,                                                       \
+      typename = cuda::std::enable_if_t<is_arithmetic_except<T, HALF>>> \
+  __forceinline__ __device__ bool operator OP(T x, HALF y) {            \
+    return static_cast<float>(y) OP HALF2FLOAT(x);                      \
+  }
+
+MLX_DEFINE_HALF_OP(__half, __half2float, __float2half, +)
+MLX_DEFINE_HALF_OP(__half, __half2float, __float2half, -)
+MLX_DEFINE_HALF_OP(__half, __half2float, __float2half, *)
+MLX_DEFINE_HALF_OP(__half, __half2float, __float2half, /)
+MLX_DEFINE_HALF_OP(__nv_bfloat16, __bfloat162float, __float2bfloat16, +)
+MLX_DEFINE_HALF_OP(__nv_bfloat16, __bfloat162float, __float2bfloat16, -)
+MLX_DEFINE_HALF_OP(__nv_bfloat16, __bfloat162float, __float2bfloat16, *)
+MLX_DEFINE_HALF_OP(__nv_bfloat16, __bfloat162float, __float2bfloat16, /)
+MLX_DEFINE_HALF_CMP(__half, __half2float, <)
+MLX_DEFINE_HALF_CMP(__half, __half2float, >)
+MLX_DEFINE_HALF_CMP(__half, __half2float, <=)
+MLX_DEFINE_HALF_CMP(__half, __half2float, >=)
+MLX_DEFINE_HALF_CMP(__half, __half2float, ==)
+MLX_DEFINE_HALF_CMP(__half, __half2float, !=)
+MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, <)
+MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, >)
+MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, <=)
+MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, >=)
+MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, ==)
+MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, !=)
+
+#undef MLX_DEFINE_HALF_OP
+#undef MLX_DEFINE_HALF_CMP
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/gather.cuh

@@ -0,0 +1,53 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device/indexing.cuh"
+#include "mlx/backend/cuda/device/utils.cuh"
+
+#include <cooperative_groups.h>
+
+namespace mlx::core::cu {
+
+namespace cg = cooperative_groups;
+
+template <typename T, typename IdxT, int NIDX, int IDX_NDIM, typename LocT>
+__global__ void gather(
+    const T* src,
+    T* out,
+    LocT size,
+    const __grid_constant__ Shape src_shape,
+    const __grid_constant__ Strides src_strides,
+    int32_t src_ndim,
+    const __grid_constant__ Shape slice_sizes,
+    uint32_t slice_size,
+    const __grid_constant__ cuda::std::array<int32_t, NIDX> axes,
+    const __grid_constant__ cuda::std::array<IdxT*, NIDX> indices,
+    const __grid_constant__ cuda::std::array<int32_t, NIDX * IDX_NDIM>
+        indices_shape,
+    const __grid_constant__ cuda::std::array<int64_t, NIDX * IDX_NDIM>
+        indices_strides) {
+  LocT out_idx = cg::this_grid().thread_rank();
+  if (out_idx >= size) {
+    return;
+  }
+
+  LocT src_elem = out_idx % slice_size;
+  LocT idx_elem = out_idx / slice_size;
+
+  LocT src_loc =
+      elem_to_loc(src_elem, slice_sizes.data(), src_strides.data(), src_ndim);
+
+#pragma unroll
+  for (int i = 0; i < NIDX; ++i) {
+    LocT idx_loc = elem_to_loc_nd<IDX_NDIM>(
+        idx_elem,
+        indices_shape.data() + i * IDX_NDIM,
+        indices_strides.data() + i * IDX_NDIM);
+    int32_t axis = axes[i];
+    LocT idx_val = absolute_index(indices[i][idx_loc], src_shape[axis]);
+    src_loc += idx_val * src_strides[axis];
+  }
+
+  out[out_idx] = src[src_loc];
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/gather_axis.cuh

@@ -0,0 +1,65 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device/indexing.cuh"
+#include "mlx/backend/cuda/device/utils.cuh"
+
+#include <cooperative_groups.h>
+
+namespace mlx::core::cu {
+
+namespace cg = cooperative_groups;
+
+template <
+    typename T,
+    typename IdxT,
+    int NDIM,
+    bool SrcC,
+    bool IdxC,
+    typename LocT>
+__global__ void gather_axis(
+    const T* src,
+    const IdxT* indices,
+    T* out,
+    LocT idx_size_pre,
+    LocT idx_size_axis,
+    LocT idx_size_post,
+    const __grid_constant__ cuda::std::array<int32_t, NDIM> shape,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> src_strides,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> idx_strides,
+    int32_t axis,
+    int32_t axis_size,
+    int64_t src_stride_axis,
+    int64_t idx_stride_axis) {
+  LocT index = cg::this_grid().thread_rank();
+  if (index >= idx_size_pre * idx_size_axis * idx_size_post) {
+    return;
+  }
+
+  auto [x, y, z] = index_to_dims(index, idx_size_axis, idx_size_pre);
+
+  LocT elem_idx = z * idx_size_post;
+
+  LocT idx_loc = y * idx_stride_axis;
+  if constexpr (IdxC) {
+    idx_loc += elem_idx * idx_size_axis + x;
+  } else {
+    idx_loc +=
+        elem_to_loc_nd<NDIM>(elem_idx + x, shape.data(), idx_strides.data());
+  }
+
+  auto idx_val = absolute_index(indices[idx_loc], axis_size);
+
+  LocT src_loc = idx_val * src_stride_axis;
+  if constexpr (SrcC) {
+    src_loc += elem_idx * axis_size + x;
+  } else {
+    src_loc +=
+        elem_to_loc_nd<NDIM>(elem_idx + x, shape.data(), src_strides.data());
+  }
+
+  LocT out_idx = y * idx_size_post + elem_idx * idx_size_axis + x;
+
+  out[out_idx] = src[src_loc];
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/indexing.cuh

@@ -0,0 +1,30 @@
+// Copyright © 2025 Apple Inc.
+
+#include <cuda/std/tuple>
+#include <cuda/std/type_traits>
+
+namespace mlx::core::cu {
+
+// Convert an absolute index to positions in a 3d grid, assuming the index is
+// calculated with:
+// index = x * dim1 * dim2 + y * dim2 + z
+template <typename T>
+inline __host__ __device__ cuda::std::tuple<T, T, T>
+index_to_dims(T index, T dim1, T dim2) {
+  T x = index / (dim1 * dim2);
+  T y = (index % (dim1 * dim2)) / dim2;
+  T z = index % dim2;
+  return cuda::std::make_tuple(x, y, z);
+}
+
+// Get absolute index from possible negative index.
+template <typename IdxT>
+inline __host__ __device__ auto absolute_index(IdxT idx, int32_t size) {
+  if constexpr (cuda::std::is_unsigned_v<IdxT>) {
+    return idx;
+  } else {
+    return static_cast<int32_t>(idx < 0 ? idx + size : idx);
+  }
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/scatter.cuh

@@ -0,0 +1,68 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device/indexing.cuh"
+#include "mlx/backend/cuda/device/scatter_ops.cuh"
+#include "mlx/backend/cuda/device/utils.cuh"
+
+#include <cooperative_groups.h>
+
+namespace mlx::core::cu {
+
+namespace cg = cooperative_groups;
+
+template <
+    typename T,
+    typename IdxT,
+    typename Op,
+    int NIDX,
+    int IDX_NDIM,
+    typename LocT>
+__global__ void scatter(
+    const T* upd,
+    T* out,
+    LocT size,
+    const __grid_constant__ Shape upd_shape,
+    const __grid_constant__ Strides upd_strides,
+    int32_t upd_ndim,
+    LocT upd_post_idx_size,
+    const __grid_constant__ Shape out_shape,
+    const __grid_constant__ Strides out_strides,
+    int32_t out_ndim,
+    const __grid_constant__ cuda::std::array<int32_t, NIDX> axes,
+    const __grid_constant__ cuda::std::array<IdxT*, NIDX> indices,
+    const __grid_constant__ cuda::std::array<int32_t, NIDX * IDX_NDIM>
+        indices_shape,
+    const __grid_constant__ cuda::std::array<int64_t, NIDX * IDX_NDIM>
+        indices_strides) {
+  LocT upd_idx = cg::this_grid().thread_rank();
+  if (upd_idx >= size) {
+    return;
+  }
+
+  LocT out_elem = upd_idx % upd_post_idx_size;
+  LocT idx_elem = upd_idx / upd_post_idx_size;
+
+  LocT out_idx = elem_to_loc(
+      out_elem, upd_shape.data() + IDX_NDIM, out_strides.data(), out_ndim);
+
+#pragma unroll
+  for (int i = 0; i < NIDX; ++i) {
+    LocT idx_loc = elem_to_loc_nd<IDX_NDIM>(
+        idx_elem,
+        indices_shape.data() + i * IDX_NDIM,
+        indices_strides.data() + i * IDX_NDIM);
+    int32_t axis = axes[i];
+    LocT idx_val = absolute_index(indices[i][idx_loc], out_shape[axis]);
+    out_idx += idx_val * out_strides[axis];
+  }
+
+  LocT upd_loc = elem_to_loc(
+      out_elem + idx_elem * upd_post_idx_size,
+      upd_shape.data(),
+      upd_strides.data(),
+      upd_ndim);
+
+  Op{}(out + out_idx, upd[upd_loc]);
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/scatter_axis.cuh

@@ -0,0 +1,67 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device/indexing.cuh"
+#include "mlx/backend/cuda/device/scatter_ops.cuh"
+#include "mlx/backend/cuda/device/utils.cuh"
+
+#include <cooperative_groups.h>
+
+namespace mlx::core::cu {
+
+namespace cg = cooperative_groups;
+
+template <
+    typename T,
+    typename IdxT,
+    typename Op,
+    int NDIM,
+    bool UpdC,
+    bool IdxC,
+    typename LocT>
+__global__ void scatter_axis(
+    const T* upd,
+    const IdxT* indices,
+    T* out,
+    LocT idx_size_pre,
+    LocT idx_size_axis,
+    LocT idx_size_post,
+    const __grid_constant__ cuda::std::array<int32_t, NDIM> shape,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> upd_strides,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> idx_strides,
+    int32_t axis,
+    int32_t axis_size,
+    int64_t upd_stride_axis,
+    int64_t idx_stride_axis) {
+  LocT index = cg::this_grid().thread_rank();
+  if (index >= idx_size_pre * idx_size_axis * idx_size_post) {
+    return;
+  }
+
+  auto [x, y, z] = index_to_dims(index, idx_size_axis, idx_size_pre);
+
+  LocT elem_idx = z * idx_size_post;
+
+  LocT idx_loc = y * idx_stride_axis;
+  if constexpr (IdxC) {
+    idx_loc += elem_idx * idx_size_axis + x;
+  } else {
+    idx_loc +=
+        elem_to_loc_nd<NDIM>(elem_idx + x, shape.data(), idx_strides.data());
+  }
+
+  auto idx_val = absolute_index(indices[idx_loc], axis_size);
+
+  LocT upd_loc = y * upd_stride_axis;
+  if constexpr (UpdC) {
+    upd_loc += elem_idx * idx_size_axis + x;
+  } else {
+    upd_loc +=
+        elem_to_loc_nd<NDIM>(elem_idx + x, shape.data(), upd_strides.data());
+  }
+
+  LocT out_idx = idx_val * idx_size_post + elem_idx * axis_size + x;
+
+  Op{}(out + out_idx, upd[upd_loc]);
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/scatter_ops.cuh

@@ -0,0 +1,44 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include "mlx/backend/cuda/device/atomic_ops.cuh"
+
+namespace mlx::core::cu {
+
+struct ScatterAssign {
+  template <typename T>
+  __device__ void operator()(T* out, T val) const {
+    *out = val;
+  }
+};
+
+struct ScatterSum {
+  template <typename T>
+  __device__ void operator()(T* out, T val) const {
+    atomic_add(out, val);
+  }
+};
+
+struct ScatterProd {
+  template <typename T>
+  __device__ void operator()(T* out, T val) const {
+    atomic_prod(out, val);
+  }
+};
+
+struct ScatterMax {
+  template <typename T>
+  __device__ void operator()(T* out, T val) const {
+    atomic_max(out, val);
+  }
+};
+
+struct ScatterMin {
+  template <typename T>
+  __device__ void operator()(T* out, T val) const {
+    atomic_min(out, val);
+  }
+};
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/ternary_ops.cuh

@@ -0,0 +1,13 @@
+// Copyright © 2025 Apple Inc.
+#pragma once
+
+namespace mlx::core::cu {
+
+struct Select {
+  template <typename T>
+  __device__ T operator()(bool condition, T x, T y) {
+    return condition ? x : y;
+  }
+};
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/unary_ops.cuh

@@ -0,0 +1,368 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include "mlx/backend/cuda/device/fp16_math.cuh"
+#include "mlx/backend/cuda/device/utils.cuh"
+
+#include <math_constants.h>
+
+namespace mlx::core::cu {
+
+struct Abs {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_unsigned_v<T>) {
+      return x;
+    } else if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      return {sqrt(cuCrealf(x) * cuCrealf(x) + cuCimagf(x) * cuCimagf(x)), 0};
+    } else {
+      return abs(x);
+    }
+  }
+};
+
+struct ArcCos {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return acos(x);
+  }
+};
+
+struct ArcCosh {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return acosh(x);
+  }
+};
+
+struct ArcSin {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return asin(x);
+  }
+};
+
+struct ArcSinh {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return asinh(x);
+  }
+};
+
+struct ArcTan {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return atan(x);
+  }
+};
+
+struct ArcTanh {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return atanh(x);
+  }
+};
+
+struct BitwiseInvert {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return ~x;
+  }
+};
+
+struct Ceil {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_integral_v<T>) {
+      return x;
+    } else {
+      return ceil(x);
+    }
+  }
+};
+
+struct Conjugate {
+  __device__ cuComplex operator()(cuComplex x) {
+    return {cuCrealf(x), -cuCimagf(x)};
+  }
+};
+
+struct Cos {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      return {
+          cos(cuCrealf(x)) * cosh(cuCimagf(x)),
+          -sin(cuCrealf(x)) * sinh(cuCimagf(x))};
+    } else {
+      return cos(x);
+    }
+  }
+};
+
+struct Cosh {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      return {
+          cosh(cuCrealf(x)) * cos(cuCimagf(x)),
+          sinh(cuCrealf(x)) * sin(cuCimagf(x))};
+    } else {
+      return cosh(x);
+    }
+  }
+};
+
+struct Erf {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, __half>) {
+      return erf(__half2float(x));
+    } else if constexpr (cuda::std::is_same_v<T, __nv_bfloat16>) {
+      return erf(__bfloat162float(x));
+    } else {
+      return erf(x);
+    }
+  }
+};
+
+struct ErfInv {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, __half>) {
+      return erfinv(__half2float(x));
+    } else if constexpr (cuda::std::is_same_v<T, __nv_bfloat16>) {
+      return erfinv(__bfloat162float(x));
+    } else {
+      return erfinv(x);
+    }
+  }
+};
+
+struct Exp {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      auto m = exp(cuCrealf(x));
+      return {m * cos(cuCimagf(x)), m * sinh(cuCimagf(x))};
+    } else {
+      return exp(x);
+    }
+  }
+};
+
+struct Expm1 {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, __half>) {
+      return expm1(__half2float(x));
+    } else if constexpr (cuda::std::is_same_v<T, __nv_bfloat16>) {
+      return expm1(__bfloat162float(x));
+    } else {
+      return expm1(x);
+    }
+  }
+};
+
+struct Floor {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_integral_v<T>) {
+      return x;
+    } else {
+      return floor(x);
+    }
+  }
+};
+
+struct Imag {
+  __device__ float operator()(cuComplex x) {
+    return cuCimagf(x);
+  }
+};
+
+struct Log {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      auto r = log(cuCrealf(Abs{}(x)));
+      auto i = atan2f(cuCimagf(x), cuCrealf(x));
+      return {r, i};
+    } else {
+      return log(x);
+    }
+  }
+};
+
+struct Log2 {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      auto y = Log{}(x);
+      return {cuCrealf(y) / CUDART_LN2_F, cuCimagf(y) / CUDART_LN2_F};
+    } else {
+      return log2(x);
+    }
+  }
+};
+
+struct Log10 {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      auto y = Log{}(x);
+      return {cuCrealf(y) / CUDART_LNT_F, cuCimagf(y) / CUDART_LNT_F};
+      return y;
+    } else {
+      return log10(x);
+    }
+  }
+};
+
+struct Log1p {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return log1p(x);
+  }
+};
+
+struct LogicalNot {
+  __device__ bool operator()(bool x) {
+    return !x;
+  }
+};
+
+struct Negative {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      return 0 - x;
+    } else {
+      return -x;
+    }
+  }
+};
+
+struct Real {
+  __device__ float operator()(cuComplex x) {
+    return cuCrealf(x);
+  }
+};
+
+struct Round {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      return {rint(cuCrealf(x)), rint(cuCimagf(x))};
+    } else {
+      return rint(x);
+    }
+  }
+};
+
+struct Rsqrt {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return rsqrt(x);
+  }
+};
+
+struct Sigmoid {
+  template <typename T>
+  __device__ T operator()(T x) {
+    T y = 1 / (1 + exp(-abs(x)));
+    return (x < 0) ? 1 - y : y;
+  }
+};
+
+struct Sign {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_unsigned_v<T>) {
+      return x != 0;
+    } else if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      if (cuCrealf(x) == 0 && cuCimagf(x) == 0) {
+        return x;
+      } else {
+        return x / Abs()(x);
+      }
+    } else if constexpr (cuda::std::is_same_v<T, __nv_bfloat16>) {
+      return static_cast<float>((x > T(0.f)) - (x < T(0.f)));
+    } else {
+      return (x > T(0)) - (x < T(0));
+    }
+  }
+};
+
+struct Sin {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      return {
+          sin(cuCrealf(x)) * cosh(cuCimagf(x)),
+          cos(cuCrealf(x)) * sinh(cuCimagf(x))};
+    } else {
+      return sin(x);
+    }
+  }
+};
+
+struct Sinh {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      return {
+          sinh(cuCrealf(x)) * cos(cuCimagf(x)),
+          cosh(cuCrealf(x)) * sin(cuCimagf(x))};
+    } else {
+      return sinh(x);
+    }
+  }
+};
+
+struct Square {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return x * x;
+  }
+};
+
+struct Sqrt {
+  template <typename T>
+  __device__ T operator()(T x) {
+    return sqrt(x);
+  }
+};
+
+struct Tan {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      float tan_a = tan(cuCrealf(x));
+      float tanh_b = tanh(cuCimagf(x));
+      float t1 = tan_a * tanh_b;
+      float denom = 1. + t1 * t1;
+      return {(tan_a - tanh_b * t1) / denom, (tanh_b + tan_a * t1) / denom};
+    } else {
+      return tan(x);
+    }
+  }
+};
+
+struct Tanh {
+  template <typename T>
+  __device__ T operator()(T x) {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      float tanh_a = tanh(cuCrealf(x));
+      float tan_b = tan(cuCimagf(x));
+      float t1 = tanh_a * tan_b;
+      float denom = 1. + t1 * t1;
+      return {(tanh_a + tan_b * t1) / denom, (tan_b - tanh_a * t1) / denom};
+    } else {
+      return tanh(x);
+    }
+  }
+};
+
+} // namespace mlx::core::cu

mlx/backend/cuda/device/utils.cuh

@@ -0,0 +1,358 @@
+// Copyright © 2025 Apple Inc.
+
+// This file must not include any host-only code, utilies that work under both
+// host and device can be put here.
+//
+// See more about the requirements at:
+// https://docs.nvidia.com/cuda/nvrtc/#language
+
+#pragma once
+
+#include "mlx/backend/cuda/device/config.h"
+
+#include <cuComplex.h>
+#include <cuda_bf16.h>
+#include <cuda_fp16.h>
+#include <cuda/std/array>
+#include <cuda/std/limits>
+#include <cuda/std/tuple>
+
+namespace mlx::core::cu {
+
+///////////////////////////////////////////////////////////////////////////////
+// CUDA kernel utils
+///////////////////////////////////////////////////////////////////////////////
+
+// To pass shape/strides to kernels via constant memory, their size must be
+// known at compile time.
+using Shape = cuda::std::array<int32_t, MAX_NDIM>;
+using Strides = cuda::std::array<int64_t, MAX_NDIM>;
+
+///////////////////////////////////////////////////////////////////////////////
+// Type limits utils
+///////////////////////////////////////////////////////////////////////////////
+
+template <typename T, typename = void>
+struct Limits {
+  static constexpr __host__ __device__ T max() {
+    return cuda::std::numeric_limits<T>::max();
+  }
+  static constexpr __host__ __device__ T min() {
+    return cuda::std::numeric_limits<T>::min();
+  }
+  static constexpr __host__ __device__ T finite_max() {
+    return cuda::std::numeric_limits<T>::max();
+  }
+  static constexpr __host__ __device__ T finite_min() {
+    return cuda::std::numeric_limits<T>::min();
+  }
+};
+
+template <typename T>
+struct Limits<
+    T,
+    cuda::std::enable_if_t<
+        cuda::std::is_same_v<T, float> || cuda::std::is_same_v<T, double>>> {
+  static constexpr __host__ __device__ T max() {
+    return cuda::std::numeric_limits<T>::infinity();
+  }
+  static constexpr __host__ __device__ T min() {
+    return -cuda::std::numeric_limits<T>::infinity();
+  }
+  static constexpr __host__ __device__ T finite_max() {
+    return cuda::std::numeric_limits<T>::max();
+  }
+  static constexpr __host__ __device__ T finite_min() {
+    return cuda::std::numeric_limits<T>::lowest();
+  }
+};
+
+// CUDA 11 does not have host side arithmatic operators for half types.
+template <typename T>
+struct Limits<
+    T,
+    cuda::std::enable_if_t<
+        cuda::std::is_same_v<T, __half> ||
+        cuda::std::is_same_v<T, __nv_bfloat16>>> {
+  static constexpr __host__ __device__ T max() {
+    return cuda::std::numeric_limits<T>::infinity();
+  }
+  static constexpr __host__ __device__ T min() {
+#if defined(__CUDA_ARCH__) || CUDART_VERSION >= 12000
+    return -cuda::std::numeric_limits<T>::infinity();
+#else
+    return -cuda::std::numeric_limits<float>::infinity();
+#endif
+  }
+  static constexpr __host__ __device__ T finite_max() {
+    return cuda::std::numeric_limits<T>::max();
+  }
+  static constexpr __host__ __device__ T finite_min() {
+#if defined(__CUDA_ARCH__) || CUDART_VERSION >= 12000
+    return cuda::std::numeric_limits<T>::lowest();
+#else
+    return cuda::std::numeric_limits<float>::lowest();
+#endif
+  }
+};
+
+template <>
+struct Limits<bool> {
+  static constexpr __host__ __device__ bool max() {
+    return true;
+  }
+  static constexpr __host__ __device__ bool min() {
+    return false;
+  }
+};
+
+template <>
+struct Limits<cuComplex> {
+  static constexpr __host__ __device__ cuComplex max() {
+    return {Limits<float>::max(), Limits<float>::max()};
+  }
+  static constexpr __host__ __device__ cuComplex min() {
+    return {Limits<float>::min(), Limits<float>::min()};
+  }
+};
+
+///////////////////////////////////////////////////////////////////////////////
+// Indexing utils
+///////////////////////////////////////////////////////////////////////////////
+
+template <typename IdxT = int64_t>
+inline __host__ __device__ IdxT
+elem_to_loc(IdxT elem, const int* shape, const int64_t* strides, int ndim) {
+  IdxT loc = 0;
+  for (int i = ndim - 1; i >= 0 && elem > 0; --i) {
+    loc += (elem % shape[i]) * IdxT(strides[i]);
+    elem /= shape[i];
+  }
+  return loc;
+}
+
+// Optimize when the ndim is known at compile time.
+template <int NDIM, typename IdxT = int64_t>
+inline __host__ __device__ IdxT
+elem_to_loc_nd(IdxT elem, const int* shape, const int64_t* strides) {
+  IdxT loc = 0;
+#pragma unroll
+  for (int i = NDIM - 1; i >= 0; --i) {
+    loc += (elem % shape[i]) * IdxT(strides[i]);
+    elem /= shape[i];
+  }
+  return loc;
+}
+
+template <int NDIM, typename IdxT = int64_t>
+inline __host__ __device__ cuda::std::tuple<IdxT, IdxT> elem_to_loc_nd(
+    IdxT elem,
+    const int* shape,
+    const int64_t* a_strides,
+    const int64_t* b_strides) {
+  IdxT a_loc = 0;
+  IdxT b_loc = 0;
+#pragma unroll
+  for (int i = NDIM - 1; i >= 0; --i) {
+    int dim_idx = elem % shape[i];
+    a_loc += dim_idx * IdxT(a_strides[i]);
+    b_loc += dim_idx * IdxT(b_strides[i]);
+    elem /= shape[i];
+  }
+  return cuda::std::make_tuple(a_loc, b_loc);
+}
+
+template <int NDIM, typename IdxT = int64_t>
+inline __host__ __device__ cuda::std::tuple<IdxT, IdxT, IdxT> elem_to_loc_nd(
+    IdxT elem,
+    const int* shape,
+    const int64_t* a_strides,
+    const int64_t* b_strides,
+    const int64_t* c_strides) {
+  IdxT a_loc = 0;
+  IdxT b_loc = 0;
+  IdxT c_loc = 0;
+#pragma unroll
+  for (int i = NDIM - 1; i >= 0; --i) {
+    int dim_idx = elem % shape[i];
+    a_loc += dim_idx * IdxT(a_strides[i]);
+    b_loc += dim_idx * IdxT(b_strides[i]);
+    c_loc += dim_idx * IdxT(c_strides[i]);
+    elem /= shape[i];
+  }
+  return cuda::std::make_tuple(a_loc, b_loc, c_loc);
+}
+
+// Optimized version when ndim is larger than 4.
+template <typename IdxT = int64_t>
+inline __host__ __device__ IdxT
+elem_to_loc_4d(IdxT elem, const int* shape, const int64_t* strides, int ndim) {
+  IdxT loc = 0;
+  for (int i = ndim - 1; i >= 0; --i) {
+    loc += (elem % shape[i]) * IdxT(strides[i]);
+    elem /= shape[i];
+  }
+  return loc;
+}
+
+template <typename IdxT = int64_t>
+inline __host__ __device__ cuda::std::tuple<IdxT, IdxT> elem_to_loc_4d(
+    IdxT elem,
+    const int* shape,
+    const int64_t* a_strides,
+    const int64_t* b_strides,
+    int ndim) {
+  IdxT a_loc = 0;
+  IdxT b_loc = 0;
+  for (int i = ndim - 1; i >= 0; --i) {
+    int dim_idx = elem % shape[i];
+    a_loc += dim_idx * IdxT(a_strides[i]);
+    b_loc += dim_idx * IdxT(b_strides[i]);
+    elem /= shape[i];
+  }
+  return cuda::std::make_tuple(a_loc, b_loc);
+}
+
+template <typename IdxT = int64_t>
+inline __host__ __device__ cuda::std::tuple<IdxT, IdxT, IdxT> elem_to_loc_4d(
+    IdxT elem,
+    const int* shape,
+    const int64_t* a_strides,
+    const int64_t* b_strides,
+    const int64_t* c_strides,
+    int ndim) {
+  IdxT a_loc = 0;
+  IdxT b_loc = 0;
+  IdxT c_loc = 0;
+  for (int i = ndim - 1; i >= 0; --i) {
+    int dim_idx = elem % shape[i];
+    a_loc += dim_idx * IdxT(a_strides[i]);
+    b_loc += dim_idx * IdxT(b_strides[i]);
+    c_loc += dim_idx * IdxT(c_strides[i]);
+    elem /= shape[i];
+  }
+  return cuda::std::make_tuple(a_loc, b_loc, c_loc);
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// Elem to loc in a loop utils
+///////////////////////////////////////////////////////////////////////////////
+
+template <int DIM, bool General = true, typename OffsetT = size_t>
+struct LoopedElemToLoc {
+  int dim;
+  LoopedElemToLoc<DIM - 1, General, OffsetT> inner_looper;
+  OffsetT offset{0};
+  int index{0};
+
+  __device__ LoopedElemToLoc(int dim) : dim(dim), inner_looper(dim - 1) {}
+
+  __device__ void next(const int* shape, const int64_t* strides) {
+    if (dim == 0) {
+      return;
+    }
+    index++;
+    offset += OffsetT(strides[dim - 1]);
+    if (index >= shape[dim - 1]) {
+      index = 0;
+      inner_looper.next(shape, strides);
+      offset = inner_looper.offset;
+    }
+  }
+
+  __device__ void next(int n, const int* shape, const int64_t* strides) {
+    if (dim == 0) {
+      return;
+    }
+    index += n;
+    offset += n * OffsetT(strides[dim - 1]);
+
+    if (index >= shape[dim - 1]) {
+      int extra = index - shape[dim - 1];
+      if (extra >= shape[dim - 1]) {
+        inner_looper.next(1 + extra / shape[dim - 1], shape, strides);
+        extra = extra % shape[dim - 1];
+      } else {
+        inner_looper.next(shape, strides);
+      }
+      index = 0;
+      offset = inner_looper.offset;
+      if (extra > 0) {
+        next(extra, shape, strides);
+      }
+    }
+  }
+
+  __device__ OffsetT location() {
+    return offset;
+  }
+};
+
+template <typename OffsetT>
+struct LoopedElemToLoc<1, true, OffsetT> {
+  int dim;
+  OffsetT offset{0};
+  int index{0};
+
+  __device__ LoopedElemToLoc(int dim) : dim(dim) {}
+
+  __device__ void next(const int* shape, const int64_t* strides) {
+    index++;
+    if (dim > 1) {
+      offset = elem_to_loc<OffsetT>(index, shape, strides, dim);
+    } else {
+      offset += OffsetT(strides[0]);
+    }
+  }
+
+  __device__ void next(int n, const int* shape, const int64_t* strides) {
+    index += n;
+    if (dim > 1) {
+      offset = elem_to_loc<OffsetT>(index, shape, strides, dim);
+    } else {
+      offset = index * OffsetT(strides[0]);
+    }
+  }
+
+  __device__ OffsetT location() {
+    return offset;
+  }
+};
+
+template <typename OffsetT>
+struct LoopedElemToLoc<1, false, OffsetT> {
+  OffsetT offset{0};
+
+  __device__ LoopedElemToLoc(int) {}
+
+  __device__ void next(const int*, const int64_t* strides) {
+    offset += OffsetT(strides[0]);
+  }
+
+  __device__ void next(int n, const int*, const int64_t* strides) {
+    offset += n * OffsetT(strides[0]);
+  }
+
+  __device__ OffsetT location() {
+    return offset;
+  }
+};
+
+inline __device__ cuComplex log1p(cuComplex in) {
+  float x = cuCrealf(in);
+  float y = cuCimagf(in);
+  float zabs = sqrt(x * x + y * y);
+  float theta = atan2f(y, x + 1);
+  if (zabs < 0.5f) {
+    float r = x * (2 + x) + y * y;
+    if (r == 0) { // handle underflow
+      return {x, theta};
+    }
+    return {0.5f * log1pf(r), theta};
+  } else {
+    auto z0 = sqrt((x + 1) * (x + 1) + y * y);
+    return {log(z0), theta};
+  }
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/dtype_utils.cuh

@@ -1,35 +0,0 @@
-// Copyright © 2025 Apple Inc.
-
-#pragma once
-
-#include <cuComplex.h>
-#include <cuda_bf16.h>
-#include <cuda_fp16.h>
-
-namespace mlx::core {
-
-// Maps CPU types to CUDA types.
-template <typename T>
-struct CTypeToCudaType {
-  using type = T;
-};
-
-template <>
-struct CTypeToCudaType<float16_t> {
-  using type = __half;
-};
-
-template <>
-struct CTypeToCudaType<bfloat16_t> {
-  using type = __nv_bfloat16;
-};
-
-template <>
-struct CTypeToCudaType<complex64_t> {
-  using type = cuComplex;
-};
-
-template <typename T>
-using cuda_type_t = typename CTypeToCudaType<T>::type;
-
-} // namespace mlx::core

mlx/backend/cuda/eval.cpp

@@ -62,7 +62,7 @@ void finalize(Stream s) {
 
 void synchronize(Stream s) {
   nvtx3::scoped_range r("gpu::synchronize");
-  cu::get_stream(s).synchronize();
+  cu::get_command_encoder(s).synchronize();
 }
 
 } // namespace mlx::core::gpu

mlx/backend/cuda/event.cu

@@ -1,5 +1,6 @@
 // Copyright © 2024 Apple Inc.
 
+#include "mlx/backend/cuda/allocator.h"
 #include "mlx/backend/cuda/device.h"
 #include "mlx/backend/cuda/event.h"
 #include "mlx/backend/cuda/utils.h"
@@ -111,12 +112,12 @@ __global__ void event_signal_kernel(SharedEvent::Atomic* ac, uint64_t value) {
 
 SharedEvent::SharedEvent() {
   // Allocate cuda::atomic on managed memory.
-  allocator::Buffer buffer = allocator::malloc(sizeof(Atomic));
-  Atomic* ac = static_cast<Atomic*>(buffer.raw_ptr());
+  Atomic* ac;
+  CHECK_CUDA_ERROR(cudaMallocManaged(&ac, sizeof(Atomic)));
   new (ac) Atomic(0);
-  ac_ = std::shared_ptr<Atomic>(ac, [buffer](Atomic* ptr) {
+  ac_ = std::shared_ptr<Atomic>(ac, [](Atomic* ptr) {
     ptr->~Atomic();
-    allocator::free(buffer);
+    allocator().cuda_free(ptr);
   });
 }
 
@@ -155,7 +156,10 @@ void SharedEvent::signal(cudaStream_t stream, uint64_t value) {
 void SharedEvent::signal(Stream s, uint64_t value) {
   nvtx3::scoped_range r("cu::SharedEvent::signal(s)");
   if (s.device == mlx::core::Device::cpu) {
-    scheduler::enqueue(s, [*this, value]() mutable { signal(value); });
+    // Signal through a GPU stream so the atomic is updated in GPU - updating
+    // the atomic in CPU sometimes does not get GPU notified.
+    static CudaStream stream(device(mlx::core::Device::gpu));
+    scheduler::enqueue(s, [*this, value]() mutable { signal(stream, value); });
   } else {
     auto& encoder = get_command_encoder(s);
     encoder.launch_kernel(

mlx/backend/cuda/fence.cpp

@@ -0,0 +1,29 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/fence.h"
+#include "mlx/backend/cuda/event.h"
+
+namespace mlx::core {
+
+struct FenceImpl {
+  uint32_t count;
+  cu::SharedEvent event;
+};
+
+Fence::Fence(Stream s) {
+  fence_ = std::shared_ptr<void>(
+      new FenceImpl{0}, [](void* ptr) { delete static_cast<FenceImpl*>(ptr); });
+}
+
+void Fence::wait(Stream s, const array&) {
+  auto* fence = static_cast<FenceImpl*>(fence_.get());
+  fence->event.wait(fence->count);
+}
+
+void Fence::update(Stream s, const array&) {
+  auto* fence = static_cast<FenceImpl*>(fence_.get());
+  fence->count++;
+  fence->event.signal(s, fence->count);
+}
+
+} // namespace mlx::core

mlx/backend/cuda/fence.cu

@@ -1,70 +0,0 @@
-// Copyright © 2025 Apple Inc.
-
-#include "mlx/backend/cuda/device.h"
-#include "mlx/backend/cuda/event.h"
-#include "mlx/fence.h"
-#include "mlx/scheduler.h"
-
-#include <nvtx3/nvtx3.hpp>
-
-namespace mlx::core {
-
-namespace {
-
-__host__ __device__ void busy_wait(cuda::atomic<uint64_t>* ac, uint64_t value) {
-  while (true) {
-    // In theory the atomic_thread_fence is not needed, but for CUDA 11 without
-    // it the load() may never return new value.
-    cuda::atomic_thread_fence(cuda::memory_order_seq_cst);
-    uint64_t current = ac->load();
-    if (current >= value) {
-      break;
-    }
-  }
-}
-
-__global__ void busy_wait_kernel(cuda::atomic<uint64_t>* ac, uint64_t value) {
-  busy_wait(ac, value);
-}
-
-} // namespace
-
-struct FenceImpl {
-  uint32_t count;
-  cu::SharedEvent event;
-};
-
-Fence::Fence(Stream s) {
-  fence_ = std::shared_ptr<void>(
-      new FenceImpl{0}, [](void* ptr) { delete static_cast<FenceImpl*>(ptr); });
-}
-
-void Fence::wait(Stream s, const array&) {
-  auto* fence = static_cast<FenceImpl*>(fence_.get());
-  // We can't use SharedEvent::wait because it could hang in CUDA 11, see also:
-  // https://github.com/ml-explore/mlx/issues/2137
-  const auto& ac = fence->event.atomic();
-  if (s.device == mlx::core::Device::cpu) {
-    scheduler::enqueue(s, [ac, count = fence->count]() {
-      nvtx3::scoped_range r("Fence::wait()");
-      busy_wait(ac.get(), count);
-    });
-  } else {
-    nvtx3::scoped_range r("Fence::wait(s)");
-    auto& encoder = cu::get_command_encoder(s);
-    encoder.launch_kernel(
-        encoder.stream().last_cuda_stream(), [&](cudaStream_t stream) {
-          busy_wait_kernel<<<1, 1, 0>>>(ac.get(), fence->count);
-        });
-    encoder.add_completed_handler([ac]() {});
-    encoder.end_encoding();
-  }
-}
-
-void Fence::update(Stream s, const array&) {
-  auto* fence = static_cast<FenceImpl*>(fence_.get());
-  fence->count++;
-  fence->event.signal(s, fence->count);
-}
-
-} // namespace mlx::core

mlx/backend/cuda/indexing.cpp

@@ -0,0 +1,420 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/common/compiled.h"
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/jit_module.h"
+#include "mlx/backend/gpu/copy.h"
+#include "mlx/dtype_utils.h"
+#include "mlx/primitives.h"
+
+#include "cuda_jit_sources.h"
+
+#include <fmt/format.h>
+#include <nvtx3/nvtx3.hpp>
+
+#include <cassert>
+#include <numeric>
+
+namespace mlx::core {
+
+namespace {
+
+constexpr const char* g_scatter_ops[] = {"Max", "Min", "Sum", "Prod", "Assign"};
+
+void append_indices_arg(
+    cu::JitModule& mod,
+    const std::vector<array>& inputs,
+    int nidx,
+    int idx_ndim) {
+  std::vector<const void*> indices(nidx);
+  for (int i = 0; i < nidx; ++i) {
+    indices[i] = inputs[i + 1].data<void>();
+  }
+  mod.append_arg(std::move(indices));
+  std::vector<int32_t> indices_shape(nidx * idx_ndim);
+  for (int i = 0; i < nidx; ++i) {
+    std::copy_n(
+        inputs[i + 1].shape().begin(),
+        idx_ndim,
+        indices_shape.data() + i * idx_ndim);
+  }
+  mod.append_arg(std::move(indices_shape));
+  std::vector<int64_t> indices_strides(nidx * idx_ndim);
+  for (int i = 0; i < nidx; ++i) {
+    std::copy_n(
+        inputs[i + 1].strides().begin(),
+        idx_ndim,
+        indices_strides.data() + i * idx_ndim);
+  }
+  mod.append_arg(std::move(indices_strides));
+}
+
+} // namespace
+
+void Gather::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("Gather::eval_gpu");
+  assert(inputs.size() > 0);
+  const auto& src = inputs[0];
+
+  out.set_data(allocator::malloc(out.nbytes()));
+  if (out.size() == 0) {
+    return;
+  }
+
+  int nidx = inputs.size() - 1;
+  Dtype idx_dtype = nidx > 0 ? inputs[1].dtype() : int32;
+  int32_t idx_ndim = nidx > 0 ? inputs[1].ndim() : 0;
+
+  bool large = (nidx > 0 && inputs[1].size() > INT32_MAX) ||
+      (src.size() > INT32_MAX) || (out.size() > INT32_MAX);
+
+  uint32_t slice_size = std::accumulate(
+      slice_sizes_.begin(), slice_sizes_.end(), 1, std::multiplies<uint32_t>());
+
+  std::string module_name = fmt::format(
+      "gather_{}_{}_{}",
+      dtype_to_string(out.dtype()),
+      dtype_to_string(idx_dtype),
+      nidx);
+
+  auto& s = stream();
+  cu::JitModule& mod = cu::get_jit_module(s.device, module_name, [&]() {
+    std::vector<std::string> kernel_names;
+    for (int ndim = 0; ndim <= MAX_NDIM; ++ndim) {
+      for (int large = 0; large <= 1; ++large) {
+        kernel_names.push_back(fmt::format(
+            "mlx::core::cu::gather<{}, {}, {}, {}, {}>",
+            dtype_to_cuda_type(out.dtype()),
+            dtype_to_cuda_type(idx_dtype),
+            nidx,
+            ndim,
+            large ? "int64_t" : "int32_t"));
+      }
+    }
+    return std::make_pair(jit_source_gather, std::move(kernel_names));
+  });
+
+  mod.append_arg(src);
+  mod.append_arg(out);
+  if (large) {
+    mod.append_arg<int64_t>(out.size());
+  } else {
+    mod.append_arg<int32_t>(out.size());
+  }
+  mod.append_ndim_arg(src.shape());
+  mod.append_ndim_arg(src.strides());
+  mod.append_arg<int32_t>(src.ndim());
+  mod.append_ndim_arg(slice_sizes_);
+  mod.append_arg(slice_size);
+  mod.append_arg(axes_);
+  append_indices_arg(mod, inputs, nidx, idx_ndim);
+
+  std::string kernel_name = fmt::format(
+      "mlx::core::cu::gather<{}, {}, {}, {}, {}>",
+      dtype_to_cuda_type(out.dtype()),
+      dtype_to_cuda_type(idx_dtype),
+      nidx,
+      idx_ndim,
+      large ? "int64_t" : "int32_t");
+
+  auto& encoder = cu::get_command_encoder(s);
+  for (const auto& in : inputs) {
+    encoder.set_input_array(in);
+  }
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    mod.launch_kernel(stream, kernel_name, out, large);
+  });
+}
+
+void Scatter::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("Gather::eval_gpu");
+  assert(inputs.size() > 1);
+  auto& upd = inputs.back();
+
+  // Copy src into out.
+  CopyType copy_type;
+  if (inputs[0].data_size() == 1) {
+    copy_type = CopyType::Scalar;
+  } else if (inputs[0].flags().row_contiguous) {
+    copy_type = CopyType::Vector;
+  } else {
+    copy_type = CopyType::General;
+  }
+  copy_gpu(inputs[0], out, copy_type);
+
+  // Empty update.
+  if (upd.size() == 0) {
+    return;
+  }
+
+  int nidx = axes_.size();
+  Dtype idx_dtype = nidx > 0 ? inputs[1].dtype() : int32;
+  int32_t idx_ndim = nidx > 0 ? inputs[1].ndim() : 0;
+
+  bool large = (nidx > 0 && inputs[1].size() > INT32_MAX) ||
+      (upd.size() > INT32_MAX) || (out.size() > INT32_MAX);
+
+  int32_t upd_post_idx_size = std::accumulate(
+      upd.shape().begin() + idx_ndim,
+      upd.shape().end(),
+      1,
+      std::multiplies<int32_t>());
+
+  const char* op = g_scatter_ops[reduce_type_];
+  std::string module_name = fmt::format(
+      "scatter_{}_{}_{}_{}",
+      dtype_to_string(out.dtype()),
+      dtype_to_string(idx_dtype),
+      op,
+      nidx);
+
+  auto& s = stream();
+  cu::JitModule& mod = cu::get_jit_module(s.device, module_name, [&]() {
+    std::vector<std::string> kernel_names;
+    for (int ndim = 0; ndim <= MAX_NDIM; ++ndim) {
+      for (int large = 0; large <= 1; ++large) {
+        kernel_names.push_back(fmt::format(
+            "mlx::core::cu::scatter<{}, {}, mlx::core::cu::Scatter{}, {}, {}, {}>",
+            dtype_to_cuda_type(out.dtype()),
+            dtype_to_cuda_type(idx_dtype),
+            op,
+            nidx,
+            ndim,
+            large ? "int64_t" : "int32_t"));
+      }
+    }
+    return std::make_pair(jit_source_scatter, std::move(kernel_names));
+  });
+
+  mod.append_arg(upd);
+  mod.append_arg(out);
+  if (large) {
+    mod.append_arg<int64_t>(upd.size());
+  } else {
+    mod.append_arg<int32_t>(upd.size());
+  }
+  mod.append_ndim_arg(upd.shape());
+  mod.append_ndim_arg(upd.strides());
+  mod.append_arg<int32_t>(upd.ndim());
+  if (large) {
+    mod.append_arg<int64_t>(upd_post_idx_size);
+  } else {
+    mod.append_arg<int32_t>(upd_post_idx_size);
+  }
+  mod.append_ndim_arg(out.shape());
+  mod.append_ndim_arg(out.strides());
+  mod.append_arg<int32_t>(out.ndim());
+  mod.append_arg(axes_);
+  append_indices_arg(mod, inputs, nidx, idx_ndim);
+
+  std::string kernel_name = fmt::format(
+      "mlx::core::cu::scatter<{}, {}, mlx::core::cu::Scatter{}, {}, {}, {}>",
+      dtype_to_cuda_type(out.dtype()),
+      dtype_to_cuda_type(idx_dtype),
+      op,
+      nidx,
+      idx_ndim,
+      large ? "int64_t" : "int32_t");
+
+  auto& encoder = cu::get_command_encoder(s);
+  for (const auto& in : inputs) {
+    encoder.set_input_array(in);
+  }
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    mod.launch_kernel(stream, kernel_name, upd, large);
+  });
+}
+
+void GatherAxis::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("GatherAxis::eval_gpu");
+  assert(inputs.size() > 1);
+  const auto& src = inputs[0];
+  const auto& idx = inputs[1];
+
+  out.set_data(allocator::malloc(out.nbytes()));
+  if (out.size() == 0) {
+    return;
+  }
+
+  bool large = idx.size() > INT32_MAX || src.size() > INT32_MAX;
+
+  std::string module_name = fmt::format(
+      "gather_axis_{}_{}",
+      dtype_to_string(out.dtype()),
+      dtype_to_string(idx.dtype()));
+
+  auto& s = stream();
+  cu::JitModule& mod = cu::get_jit_module(s.device, module_name, [&]() {
+    std::vector<std::string> kernel_names;
+    for (int ndim = 0; ndim <= MAX_NDIM; ++ndim) {
+      for (int contiguous = 0; contiguous < 4; ++contiguous) {
+        for (int large = 0; large <= 1; ++large) {
+          kernel_names.push_back(fmt::format(
+              "mlx::core::cu::gather_axis<{}, {}, {}, {}, {}, {}>",
+              dtype_to_cuda_type(out.dtype()),
+              dtype_to_cuda_type(idx.dtype()),
+              ndim,
+              contiguous & 1 ? true : false,
+              contiguous & 2 ? true : false,
+              large ? "int64_t" : "int32_t"));
+        }
+      }
+    }
+    return std::make_pair(jit_source_gather_axis, std::move(kernel_names));
+  });
+
+  size_t idx_size_pre = 1;
+  size_t idx_size_post = 1;
+  for (int i = 0; i < axis_; ++i) {
+    idx_size_pre *= idx.shape(i);
+  }
+  for (int i = axis_ + 1; i < idx.ndim(); ++i) {
+    idx_size_post *= idx.shape(i);
+  }
+  size_t idx_size_axis = idx.shape(axis_);
+
+  mod.append_arg(src);
+  mod.append_arg(idx);
+  mod.append_arg(out);
+  if (large) {
+    mod.append_arg<int64_t>(idx_size_pre);
+    mod.append_arg<int64_t>(idx_size_axis);
+    mod.append_arg<int64_t>(idx_size_post);
+  } else {
+    mod.append_arg<int32_t>(idx_size_pre);
+    mod.append_arg<int32_t>(idx_size_axis);
+    mod.append_arg<int32_t>(idx_size_post);
+  }
+  mod.append_arg(remove_index(idx.shape(), axis_));
+  mod.append_arg(remove_index(src.strides(), axis_));
+  mod.append_arg(remove_index(idx.strides(), axis_));
+  mod.append_arg<int32_t>(axis_);
+  mod.append_arg(src.shape(axis_));
+  mod.append_arg(src.strides(axis_));
+  mod.append_arg(idx.strides(axis_));
+
+  std::string kernel_name = fmt::format(
+      "mlx::core::cu::gather_axis<{}, {}, {}, {}, {}, {}>",
+      dtype_to_cuda_type(out.dtype()),
+      dtype_to_cuda_type(idx.dtype()),
+      src.ndim() - 1,
+      src.flags().row_contiguous,
+      idx.flags().row_contiguous,
+      large ? "int64_t" : "int32_t");
+
+  auto& encoder = cu::get_command_encoder(s);
+  for (const auto& in : inputs) {
+    encoder.set_input_array(in);
+  }
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    mod.launch_kernel(stream, kernel_name, idx, large);
+  });
+}
+
+void ScatterAxis::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("ScatterAxis::eval_gpu");
+  assert(inputs.size() > 2);
+  const auto& src = inputs[0];
+  const auto& idx = inputs[1];
+  const auto& upd = inputs[2];
+
+  // Copy src into out.
+  CopyType copy_type;
+  if (src.data_size() == 1) {
+    copy_type = CopyType::Scalar;
+  } else if (src.flags().row_contiguous) {
+    copy_type = CopyType::Vector;
+  } else {
+    copy_type = CopyType::General;
+  }
+  copy_gpu(src, out, copy_type);
+
+  // Empty update.
+  if (upd.size() == 0) {
+    return;
+  }
+
+  bool large = idx.size() > INT32_MAX || src.size() > INT32_MAX;
+
+  const char* op = reduce_type_ == ScatterAxis::Sum ? "Sum" : "Assign";
+  std::string module_name = fmt::format(
+      "scatter_axis_{}_{}_{}",
+      dtype_to_string(out.dtype()),
+      dtype_to_string(idx.dtype()),
+      op);
+
+  auto& s = stream();
+  cu::JitModule& mod = cu::get_jit_module(s.device, module_name, [&]() {
+    std::vector<std::string> kernel_names;
+    for (int ndim = 0; ndim <= MAX_NDIM; ++ndim) {
+      for (int contiguous = 0; contiguous < 4; ++contiguous) {
+        for (int large = 0; large <= 1; ++large) {
+          kernel_names.push_back(fmt::format(
+              "mlx::core::cu::scatter_axis<{}, {}, mlx::core::cu::Scatter{}, {}, {}, {}, {}>",
+              dtype_to_cuda_type(out.dtype()),
+              dtype_to_cuda_type(idx.dtype()),
+              op,
+              ndim,
+              contiguous & 1 ? true : false,
+              contiguous & 2 ? true : false,
+              large ? "int64_t" : "int32_t"));
+        }
+      }
+    }
+    return std::make_pair(jit_source_scatter_axis, std::move(kernel_names));
+  });
+
+  size_t idx_size_pre = 1;
+  size_t idx_size_post = 1;
+  for (int i = 0; i < axis_; ++i) {
+    idx_size_pre *= idx.shape(i);
+  }
+  for (int i = axis_ + 1; i < idx.ndim(); ++i) {
+    idx_size_post *= idx.shape(i);
+  }
+  size_t idx_size_axis = idx.shape(axis_);
+
+  mod.append_arg(upd);
+  mod.append_arg(idx);
+  mod.append_arg(out);
+  if (large) {
+    mod.append_arg<int64_t>(idx_size_pre);
+    mod.append_arg<int64_t>(idx_size_axis);
+    mod.append_arg<int64_t>(idx_size_post);
+  } else {
+    mod.append_arg<int32_t>(idx_size_pre);
+    mod.append_arg<int32_t>(idx_size_axis);
+    mod.append_arg<int32_t>(idx_size_post);
+  }
+  mod.append_arg(remove_index(idx.shape(), axis_));
+  mod.append_arg(remove_index(upd.strides(), axis_));
+  mod.append_arg(remove_index(idx.strides(), axis_));
+  mod.append_arg<int32_t>(axis_);
+  mod.append_arg(out.shape(axis_));
+  mod.append_arg(upd.strides(axis_));
+  mod.append_arg(idx.strides(axis_));
+
+  std::string kernel_name = fmt::format(
+      "mlx::core::cu::scatter_axis<{}, {}, mlx::core::cu::Scatter{}, {}, {}, {}, {}>",
+      dtype_to_cuda_type(out.dtype()),
+      dtype_to_cuda_type(idx.dtype()),
+      op,
+      idx.ndim() - 1,
+      upd.flags().row_contiguous,
+      idx.flags().row_contiguous,
+      large ? "int64_t" : "int32_t");
+
+  auto& encoder = cu::get_command_encoder(s);
+  for (const auto& in : inputs) {
+    encoder.set_input_array(in);
+  }
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    mod.launch_kernel(stream, kernel_name, idx, large);
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/iterators/general_iterator.cuh

@@ -0,0 +1,121 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include <thrust/iterator/iterator_adaptor.h>
+#include <cuda/std/utility>
+
+#include "mlx/backend/cuda/kernel_utils.cuh"
+
+namespace mlx::core::cu {
+
+// Iterating non-contiguous array.
+template <typename Iterator, typename IdxT = int64_t>
+class general_iterator
+    : public thrust::
+          iterator_adaptor<general_iterator<Iterator, IdxT>, Iterator> {
+ public:
+  using super_t =
+      thrust::iterator_adaptor<general_iterator<Iterator, IdxT>, Iterator>;
+
+  using reference = typename super_t::reference;
+  using difference_type = typename super_t::difference_type;
+
+  __host__ __device__ general_iterator(
+      Iterator it,
+      IdxT index,
+      int ndim,
+      Shape shape,
+      Strides strides)
+      : super_t(it),
+        index_(index),
+        ndim_(ndim),
+        shape_(cuda::std::move(shape)),
+        strides_(cuda::std::move(strides)) {}
+
+  __host__ __device__ IdxT index() const {
+    return index_;
+  }
+
+  __host__ __device__ const Shape& shape() const {
+    return shape_;
+  }
+
+  __host__ __device__ const Strides& strides() const {
+    return strides_;
+  }
+
+ private:
+  friend class thrust::iterator_core_access;
+
+  __host__ __device__ bool equal(const general_iterator& other) const {
+    return this->base() == other.base() && this->index() == other.index();
+  }
+
+  __host__ __device__ void advance(difference_type n) {
+    this->index_ += n;
+  }
+
+  __host__ __device__ void increment() {
+    this->index_ += 1;
+  }
+
+  __host__ __device__ void decrement() {
+    this->index_ -= 1;
+  }
+
+  __host__ __device__ difference_type
+  distance_to(const general_iterator& other) const {
+    _CCCL_ASSERT(
+        this->base() == other.base(),
+        "Underlying iterator must point to same base iterator");
+    return other.index() - this->index();
+  }
+
+  // The dereference is device-only to avoid accidental running in host.
+  __device__ typename super_t::reference dereference() const {
+    IdxT offset = elem_to_loc(index_, shape_.data(), strides_.data(), ndim_);
+    return *(this->base() + offset);
+  }
+
+  IdxT index_;
+  int ndim_;
+  Shape shape_;
+  Strides strides_;
+};
+
+template <typename IdxT, typename Iterator>
+__host__ __device__ auto make_general_iterator(
+    Iterator it,
+    IdxT index,
+    int ndim,
+    Shape shape,
+    Strides strides) {
+  return general_iterator<Iterator, IdxT>(
+      it, index, ndim, cuda::std::move(shape), cuda::std::move(strides));
+}
+
+template <typename IdxT, typename Iterator>
+auto make_general_iterator(
+    Iterator it,
+    const std::vector<int32_t>& shape,
+    const std::vector<int64_t>& strides) {
+  return make_general_iterator<IdxT>(
+      it, 0, shape.size(), const_param(shape), const_param(strides));
+}
+
+template <typename IdxT, typename Iterator>
+auto make_general_iterators(
+    Iterator it,
+    IdxT size,
+    const std::vector<int32_t>& shape,
+    const std::vector<int64_t>& strides) {
+  auto ndim = shape.size();
+  auto shape_arg = const_param(shape);
+  auto strides_arg = const_param(strides);
+  return std::make_pair(
+      make_general_iterator<IdxT>(it, 0, ndim, shape_arg, strides_arg),
+      make_general_iterator<IdxT>(it, size, ndim, shape_arg, strides_arg));
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/iterators/strided_iterator.cuh

@@ -0,0 +1,60 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include <thrust/iterator/iterator_adaptor.h>
+#include <thrust/iterator/iterator_facade.h>
+
+namespace mlx::core::cu {
+
+// RandomAccessIterator for strided access to array entries.
+template <typename Iterator, typename Stride = int64_t>
+class strided_iterator
+    : public thrust::
+          iterator_adaptor<strided_iterator<Iterator, Stride>, Iterator> {
+ public:
+  using super_t =
+      thrust::iterator_adaptor<strided_iterator<Iterator, Stride>, Iterator>;
+
+  using reference = typename super_t::reference;
+  using difference_type = typename super_t::difference_type;
+
+  __host__ __device__ strided_iterator(Iterator it, Stride stride)
+      : super_t(it), stride_(stride) {}
+
+  __host__ __device__ Stride stride() const {
+    return stride_;
+  }
+
+ private:
+  friend class thrust::iterator_core_access;
+
+  __host__ __device__ bool equal(const strided_iterator& other) const {
+    return this->base() == other.base();
+  }
+
+  __host__ __device__ void advance(difference_type n) {
+    this->base_reference() += n * stride_;
+  }
+
+  __host__ __device__ void increment() {
+    this->base_reference() += stride_;
+  }
+
+  __host__ __device__ void decrement() {
+    this->base_reference() -= stride_;
+  }
+
+  __host__ __device__ difference_type
+  distance_to(const strided_iterator& other) const {
+    const difference_type dist = other.base() - this->base();
+    _CCCL_ASSERT(
+        dist % stride() == 0,
+        "Underlying iterator difference must be divisible by the stride");
+    return dist / stride();
+  }
+
+  Stride stride_;
+};
+
+} // namespace mlx::core::cu

mlx/backend/cuda/jit_module.cpp

@@ -0,0 +1,364 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/jit_module.h"
+#include "mlx/backend/cuda/device.h"
+
+#include "cuda_jit_sources.h"
+
+#include <cstdlib>
+#include <filesystem>
+#include <fstream>
+#include <unordered_map>
+
+#include <fmt/format.h>
+#include <nvrtc.h>
+
+namespace mlx::core::cu {
+
+namespace {
+
+#define CHECK_NVRTC_ERROR(cmd) check_nvrtc_error(#cmd, (cmd))
+
+void check_nvrtc_error(const char* name, nvrtcResult err) {
+  if (err != NVRTC_SUCCESS) {
+    throw std::runtime_error(
+        fmt::format("{} failed: {}", name, nvrtcGetErrorString(err)));
+  }
+}
+
+#define CHECK_CU_ERROR(cmd) check_cu_error(#cmd, (cmd))
+
+void check_cu_error(const char* name, CUresult err) {
+  if (err != CUDA_SUCCESS) {
+    const char* err_str = "Unknown error";
+    cuGetErrorString(err, &err_str);
+    throw std::runtime_error(fmt::format("{} failed: {}", name, err_str));
+  }
+}
+
+// Return the location of the CUDA toolkit.
+const std::string& cuda_home() {
+  static std::string home = []() -> std::string {
+    const char* home = std::getenv("CUDA_HOME");
+    if (home) {
+      return home;
+    }
+    home = std::getenv("CUDA_PATH");
+    if (home) {
+      return home;
+    }
+#if defined(__linux__)
+    home = "/usr/local/cuda";
+    if (std::filesystem::exists(home)) {
+      return home;
+    }
+#endif
+    throw std::runtime_error(
+        "Environment variable CUDA_HOME or CUDA_PATH is not set.");
+  }();
+  return home;
+}
+
+// Get the cache directory for storing compiled results.
+const std::filesystem::path& ptx_cache_dir() {
+  static std::filesystem::path cache = []() -> std::filesystem::path {
+    std::filesystem::path cache;
+    if (auto c = std::getenv("MLX_PTX_CACHE"); c) {
+      cache = c;
+    } else {
+      cache = std::filesystem::temp_directory_path() / "mlx" / "ptx";
+    }
+    if (!std::filesystem::exists(cache)) {
+      std::error_code error;
+      if (!std::filesystem::create_directories(cache, error)) {
+        return std::filesystem::path();
+      }
+    }
+    return cache;
+  }();
+  return cache;
+}
+
+// Try to read the cached |ptx| and |ptx_kernels| from |cache_dir|.
+bool read_cached_ptx(
+    const std::filesystem::path& cache_dir,
+    const std::string& module_name,
+    std::vector<char>* ptx,
+    std::vector<std::pair<std::string, std::string>>* ptx_kernels) {
+  if (cache_dir.empty()) {
+    return false;
+  }
+
+  auto ptx_path = cache_dir / (module_name + ".ptx");
+  std::error_code error;
+  auto ptx_size = std::filesystem::file_size(ptx_path, error);
+  if (error) {
+    return false;
+  }
+  std::ifstream ptx_file(ptx_path, std::ios::binary);
+  if (!ptx_file.good()) {
+    return false;
+  }
+  ptx->resize(ptx_size);
+  ptx_file.read(ptx->data(), ptx_size);
+
+  std::ifstream txt_file(cache_dir / (module_name + ".txt"), std::ios::binary);
+  std::string line;
+  while (std::getline(txt_file, line)) {
+    auto tab = line.find('\t');
+    if (tab != std::string::npos) {
+      ptx_kernels->emplace_back(line.substr(0, tab), line.substr(tab + 1));
+    }
+  }
+  return true;
+}
+
+// Write the |ptx| and |ptx_kernels| to |cache_dir| with |name|.
+void write_cached_ptx(
+    const std::filesystem::path& cache_dir,
+    const std::string& module_name,
+    const std::vector<char>& ptx,
+    const std::vector<std::pair<std::string, std::string>>& ptx_kernels) {
+  if (cache_dir.empty()) {
+    return;
+  }
+
+  std::ofstream ptx_file(cache_dir / (module_name + ".ptx"), std::ios::binary);
+  if (!ptx.empty()) {
+    ptx_file.write(&ptx.front(), ptx.size());
+  }
+  std::ofstream txt_file(cache_dir / (module_name + ".txt"), std::ios::binary);
+  for (const auto& [name, mangled] : ptx_kernels) {
+    txt_file << name << "\t" << mangled << std::endl;
+  }
+}
+
+// Return if |device|'s version is not newer than |major|.|minor| version.
+inline bool version_lower_equal(Device& device, int major, int minor) {
+  if (device.compute_capability_major() < major) {
+    return true;
+  } else if (device.compute_capability_major() == major) {
+    return device.compute_capability_minor() <= minor;
+  } else {
+    return false;
+  }
+}
+
+// Return whether NVRTC supports compiling to |device|'s SASS code.
+bool compiler_supports_device_sass(Device& device) {
+  int nvrtc_major, nvrtc_minor;
+  CHECK_NVRTC_ERROR(nvrtcVersion(&nvrtc_major, &nvrtc_minor));
+  if (nvrtc_major < 9) {
+    return false;
+  } else if (nvrtc_major == 9) {
+    return version_lower_equal(device, 7, 2);
+  } else if (nvrtc_major == 10) {
+    return version_lower_equal(device, 7, 5);
+  } else if (nvrtc_major == 11 && nvrtc_minor == 0) {
+    return version_lower_equal(device, 8, 0);
+  } else if (nvrtc_major == 11 && nvrtc_minor < 8) {
+    return version_lower_equal(device, 8, 6);
+  } else {
+    return true;
+  }
+}
+
+#define INCLUDE_PREFIX "mlx/backend/cuda/device/"
+
+constexpr const char* g_include_names[] = {
+    INCLUDE_PREFIX "atomic_ops.cuh",
+    INCLUDE_PREFIX "binary_ops.cuh",
+    INCLUDE_PREFIX "cast_op.cuh",
+    INCLUDE_PREFIX "config.h",
+    INCLUDE_PREFIX "cucomplex_math.cuh",
+    INCLUDE_PREFIX "fp16_math.cuh",
+    INCLUDE_PREFIX "indexing.cuh",
+    INCLUDE_PREFIX "scatter_ops.cuh",
+    INCLUDE_PREFIX "unary_ops.cuh",
+    INCLUDE_PREFIX "ternary_ops.cuh",
+    INCLUDE_PREFIX "utils.cuh",
+};
+
+#undef INCLUDE_PREFIX
+
+constexpr const char* g_headers[] = {
+    jit_source_atomic_ops,
+    jit_source_binary_ops,
+    jit_source_cast_op,
+    jit_source_config,
+    jit_source_cucomplex_math,
+    jit_source_fp16_math,
+    jit_source_indexing,
+    jit_source_scatter_ops,
+    jit_source_unary_ops,
+    jit_source_ternary_ops,
+    jit_source_utils,
+};
+
+} // namespace
+
+JitModule::JitModule(
+    Device& device,
+    const std::string& module_name,
+    const KernelBuilder& builder) {
+  // Check cache.
+  std::vector<char> ptx;
+  std::vector<std::pair<std::string, std::string>> ptx_kernels;
+  if (!read_cached_ptx(ptx_cache_dir(), module_name, &ptx, &ptx_kernels)) {
+    // Create program.
+    auto [source_code, kernel_names] = builder();
+    nvrtcProgram prog;
+    CHECK_NVRTC_ERROR(nvrtcCreateProgram(
+        &prog,
+        source_code.c_str(),
+        (module_name + ".cu").c_str(),
+        std::size(g_headers),
+        g_headers,
+        g_include_names));
+    std::unique_ptr<nvrtcProgram, void (*)(nvrtcProgram*)> prog_freer(
+        &prog,
+        [](nvrtcProgram* p) { CHECK_NVRTC_ERROR(nvrtcDestroyProgram(p)); });
+    for (const auto& name : kernel_names) {
+      CHECK_NVRTC_ERROR(nvrtcAddNameExpression(prog, name.c_str()));
+    }
+
+    // Compile program.
+    bool use_sass = compiler_supports_device_sass(device);
+    std::string compute = fmt::format(
+        "--gpu-architecture={}_{}{}",
+        use_sass ? "sm" : "compute",
+        device.compute_capability_major(),
+        device.compute_capability_minor());
+    std::string include = fmt::format("--include-path={}/include", cuda_home());
+    const char* args[] = {compute.c_str(), include.c_str()};
+    nvrtcResult compile_result =
+        nvrtcCompileProgram(prog, std::size(args), args);
+    if (compile_result != NVRTC_SUCCESS) {
+      size_t log_size;
+      CHECK_NVRTC_ERROR(nvrtcGetProgramLogSize(prog, &log_size));
+      std::vector<char> log(log_size + 1, 0);
+      CHECK_NVRTC_ERROR(nvrtcGetProgramLog(prog, log.data()));
+      throw std::runtime_error(
+          fmt::format("Failed to compile kernel: {}.", log.data()));
+    }
+
+    // Get mangled names of kernel names.
+    for (const auto& name : kernel_names) {
+      const char* mangled;
+      CHECK_NVRTC_ERROR(nvrtcGetLoweredName(prog, name.c_str(), &mangled));
+      ptx_kernels.emplace_back(name, mangled);
+    }
+
+    // Get ptx data.
+    size_t ptx_size;
+    if (use_sass) {
+      CHECK_NVRTC_ERROR(nvrtcGetCUBINSize(prog, &ptx_size));
+    } else {
+      CHECK_NVRTC_ERROR(nvrtcGetPTXSize(prog, &ptx_size));
+    }
+    ptx.resize(ptx_size, 0);
+    if (use_sass) {
+      CHECK_NVRTC_ERROR(nvrtcGetCUBIN(prog, ptx.data()));
+    } else {
+      CHECK_NVRTC_ERROR(nvrtcGetPTX(prog, ptx.data()));
+    }
+    write_cached_ptx(ptx_cache_dir(), module_name, ptx, ptx_kernels);
+  }
+
+  // Load module.
+  char jit_log[4089] = {};
+  CUjit_option options[] = {
+      CU_JIT_ERROR_LOG_BUFFER, CU_JIT_ERROR_LOG_BUFFER_SIZE_BYTES};
+  void* values[] = {jit_log, reinterpret_cast<void*>(std::size(jit_log) - 1)};
+  CUresult jit_result = cuModuleLoadDataEx(
+      &module_, ptx.data(), std::size(options), options, values);
+  if (jit_result != CUDA_SUCCESS) {
+    throw std::runtime_error(fmt::format(
+        "Failed to load compiled {} kernel: {}.", module_name, jit_log));
+  }
+
+  // Load kernels.
+  for (const auto& [name, mangled] : ptx_kernels) {
+    CUfunction kernel;
+    CHECK_CU_ERROR(cuModuleGetFunction(&kernel, module_, mangled.c_str()));
+    kernels_[name] = kernel;
+  }
+}
+
+JitModule::~JitModule() {
+  CHECK_CU_ERROR(cuModuleUnload(module_));
+}
+
+void JitModule::launch_kernel(
+    CUstream stream,
+    const std::string& kernel_name,
+    const array& arr,
+    bool large,
+    int work_per_thread) {
+  CUfunction kernel = get_kernel(kernel_name);
+  size_t nthreads = cuda::ceil_div(arr.size(), work_per_thread);
+  int _, block_dim;
+  CHECK_CU_ERROR(
+      cuOccupancyMaxPotentialBlockSize(&_, &block_dim, kernel, 0, 0, 0));
+  if (block_dim > nthreads) {
+    block_dim = nthreads;
+  }
+  Dims num_blocks{1, 1, 1};
+  if (large) {
+    num_blocks =
+        get_2d_grid_dims_common(arr.shape(), arr.strides(), work_per_thread);
+    std::get<0>(num_blocks) =
+        (std::get<0>(num_blocks) + block_dim - 1) / block_dim;
+  } else {
+    std::get<0>(num_blocks) = (nthreads + block_dim - 1) / block_dim;
+  }
+  launch_kernel(stream, kernel, num_blocks, Dims{block_dim, 1, 1});
+}
+
+void JitModule::launch_kernel(
+    CUstream stream,
+    CUfunction kernel,
+    Dims num_blocks,
+    Dims block_dims) {
+  CHECK_CU_ERROR(cuLaunchKernel(
+      kernel,
+      std::get<0>(num_blocks),
+      std::get<1>(num_blocks),
+      std::get<2>(num_blocks),
+      std::get<0>(block_dims),
+      std::get<1>(block_dims),
+      std::get<2>(block_dims),
+      0,
+      stream,
+      args_.data(),
+      nullptr));
+  args_.clear();
+  storage_.clear();
+}
+
+CUfunction JitModule::get_kernel(const std::string& kernel_name) {
+  auto it = kernels_.find(kernel_name);
+  if (it == kernels_.end()) {
+    throw std::runtime_error(
+        fmt::format("There is no kernel named {}.", kernel_name));
+  }
+  return it->second;
+}
+
+void JitModule::append_ptr_arg(const void* v) {
+  args_.push_back(const_cast<void*>(v));
+}
+
+JitModule& get_jit_module(
+    const mlx::core::Device& device,
+    const std::string& name,
+    const KernelBuilder& builder) {
+  static std::unordered_map<std::string, JitModule> map;
+  auto it = map.find(name);
+  if (it == map.end()) {
+    it = map.try_emplace(name, cu::device(device), name, builder).first;
+  }
+  return it->second;
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/jit_module.h

@@ -0,0 +1,113 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include "mlx/array.h"
+#include "mlx/backend/common/utils.h"
+#include "mlx/backend/cuda/device/config.h"
+
+#include <deque>
+#include <unordered_map>
+#include <utility>
+#include <variant>
+
+#include <cuda.h>
+#include <fmt/format.h>
+
+namespace mlx::core::cu {
+
+class Device;
+
+using KernelBuilderResult = std::pair<
+    /* source code */ std::string,
+    /* kernel names */ std::vector<std::string>>;
+using KernelBuilder = std::function<KernelBuilderResult()>;
+
+class JitModule {
+ public:
+  JitModule(
+      Device& device,
+      const std::string& module_name,
+      const KernelBuilder& builder);
+  ~JitModule();
+
+  JitModule(const JitModule&) = delete;
+  JitModule& operator=(const JitModule&) = delete;
+
+  void append_arg(const array& a) {
+    append_arg(reinterpret_cast<CUdeviceptr>(a.data<void>()));
+  }
+
+  template <typename T>
+  void append_arg(T val) {
+    storage_.emplace_back(val);
+    append_ptr_arg(&storage_.back());
+  }
+
+  template <typename T>
+  void append_arg(std::vector<T> vec) {
+    if (vec.empty()) {
+      // The nullptr can not be used as arg, pass something not null.
+      append_arg(std::monostate{});
+    } else {
+      append_ptr_arg(vec.data());
+      storage_.emplace_back(std::move(vec));
+    }
+  }
+
+  // Make sure the arg is copied to an array with size of NDIM.
+  template <size_t NDIM = MAX_NDIM, typename T>
+  void append_ndim_arg(const std::vector<T>& vec) {
+    if (vec.size() > NDIM) {
+      throw std::runtime_error(
+          fmt::format("ndim can not be larger than {}.", NDIM));
+    }
+    std::vector<T> copied(NDIM);
+    std::copy(vec.begin(), vec.end(), copied.data());
+    append_arg(std::move(copied));
+  }
+
+  // Launch kernel with |kernel_name| that each thread works on
+  // |work_per_thread| elements of |arr|.
+  void launch_kernel(
+      CUstream stream,
+      const std::string& kernel_name,
+      const array& arr,
+      bool large,
+      int work_per_thread = 1);
+
+  void launch_kernel(
+      CUstream stream,
+      CUfunction kernel,
+      Dims num_blocks,
+      Dims block_dims);
+
+  CUfunction get_kernel(const std::string& kernel_name);
+
+ private:
+  void append_ptr_arg(const void* v);
+
+  CUmodule module_{nullptr};
+  std::unordered_map<std::string, CUfunction> kernels_;
+  std::vector<void*> args_;
+
+  // The cuLaunchKernel API requires passing pointers to arguments so store
+  // temporary values untill kernel is launched.
+  using Arg = std::variant<
+      std::monostate,
+      CUdeviceptr,
+      int32_t,
+      uint32_t,
+      int64_t,
+      std::vector<const void*>,
+      std::vector<int32_t>,
+      std::vector<int64_t>>;
+  std::deque<Arg> storage_;
+};
+
+JitModule& get_jit_module(
+    const mlx::core::Device& device,
+    const std::string& name,
+    const KernelBuilder& builder);
+
+} // namespace mlx::core::cu

mlx/backend/cuda/kernel_utils.cu

@@ -0,0 +1,33 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/common/utils.h"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+
+namespace mlx::core {
+
+dim3 get_block_dims(int dim0, int dim1, int dim2, int pow2) {
+  Dims dims = get_block_dims_common(dim0, dim1, dim2, pow2);
+  return dim3(std::get<0>(dims), std::get<1>(dims), std::get<2>(dims));
+}
+
+dim3 get_2d_grid_dims(const Shape& shape, const Strides& strides) {
+  Dims dims = get_2d_grid_dims_common(shape, strides);
+  return dim3(std::get<0>(dims), std::get<1>(dims), std::get<2>(dims));
+}
+
+dim3 get_2d_grid_dims(
+    const Shape& shape,
+    const Strides& strides,
+    size_t divisor) {
+  Dims dims = get_2d_grid_dims_common(shape, strides, divisor);
+  return dim3(std::get<0>(dims), std::get<1>(dims), std::get<2>(dims));
+}
+
+std::pair<dim3, dim3> get_grid_and_block(int dim0, int dim1, int dim2) {
+  auto [grid, block] = get_grid_and_block_common(dim0, dim1, dim2);
+  auto [gx, gy, gz] = grid;
+  auto [bx, by, bz] = block;
+  return std::make_pair(dim3(gx, gy, gz), dim3(bx, by, bz));
+}
+
+} // namespace mlx::core

mlx/backend/cuda/kernel_utils.cuh

@@ -0,0 +1,174 @@
+// Copyright © 2025 Apple Inc.
+
+// This file includes host-only utilies for writing CUDA kernels, the difference
+// from backend/cuda/device/utils.cuh is that the latter file only include
+// device-only code.
+
+#pragma once
+
+#include "mlx/array.h"
+#include "mlx/backend/cuda/device/utils.cuh"
+
+#include <cuComplex.h>
+#include <cuda_bf16.h>
+#include <cuda_fp16.h>
+#include <fmt/format.h>
+#include <cuda/cmath>
+
+namespace mlx::core {
+
+// Convert a number between 1~3 to constexpr.
+#define MLX_SWITCH_1_2_3(N, NDIM, ...) \
+  switch (N) {                         \
+    case 1: {                          \
+      constexpr int NDIM = 1;          \
+      __VA_ARGS__;                     \
+      break;                           \
+    }                                  \
+    case 2: {                          \
+      constexpr int NDIM = 2;          \
+      __VA_ARGS__;                     \
+      break;                           \
+    }                                  \
+    case 3: {                          \
+      constexpr int NDIM = 3;          \
+      __VA_ARGS__;                     \
+      break;                           \
+    }                                  \
+  }
+
+// Like MLX_SWITCH_ALL_TYPES but for booleans.
+#define MLX_SWITCH_BOOL(BOOL, BOOL_ALIAS, ...) \
+  if (BOOL) {                                  \
+    constexpr bool BOOL_ALIAS = true;          \
+    __VA_ARGS__;                               \
+  } else {                                     \
+    constexpr bool BOOL_ALIAS = false;         \
+    __VA_ARGS__;                               \
+  }
+
+// Convert a block_dim to constexpr between WARP_SIZE and WARP_SIZE ^ 2.
+#define MLX_SWITCH_BLOCK_DIM(NUM_THREADS, BLOCK_DIM, ...)   \
+  {                                                         \
+    uint32_t _num_threads = NUM_THREADS;                    \
+    if (_num_threads <= WARP_SIZE) {                        \
+      constexpr uint32_t BLOCK_DIM = WARP_SIZE;             \
+      __VA_ARGS__;                                          \
+    } else if (_num_threads <= WARP_SIZE * 2) {             \
+      constexpr uint32_t BLOCK_DIM = WARP_SIZE * 2;         \
+      __VA_ARGS__;                                          \
+    } else if (_num_threads <= WARP_SIZE * 4) {             \
+      constexpr uint32_t BLOCK_DIM = WARP_SIZE * 4;         \
+      __VA_ARGS__;                                          \
+    } else if (_num_threads <= WARP_SIZE * 8) {             \
+      constexpr uint32_t BLOCK_DIM = WARP_SIZE * 8;         \
+      __VA_ARGS__;                                          \
+    } else if (_num_threads <= WARP_SIZE * 16) {            \
+      constexpr uint32_t BLOCK_DIM = WARP_SIZE * 16;        \
+      __VA_ARGS__;                                          \
+    } else {                                                \
+      constexpr uint32_t BLOCK_DIM = WARP_SIZE * WARP_SIZE; \
+      __VA_ARGS__;                                          \
+    }                                                       \
+  }
+
+// Maps CPU types to CUDA types.
+template <typename T>
+struct CTypeToCudaType {
+  using type = T;
+};
+
+template <>
+struct CTypeToCudaType<float16_t> {
+  using type = __half;
+};
+
+template <>
+struct CTypeToCudaType<bfloat16_t> {
+  using type = __nv_bfloat16;
+};
+
+template <>
+struct CTypeToCudaType<complex64_t> {
+  using type = cuComplex;
+};
+
+template <typename T>
+using cuda_type_t = typename CTypeToCudaType<T>::type;
+
+// Type traits for detecting floating numbers.
+template <typename T>
+inline constexpr bool is_floating_v =
+    cuda::std::is_same_v<T, float> || cuda::std::is_same_v<T, double> ||
+    cuda::std::is_same_v<T, float16_t> || cuda::std::is_same_v<T, bfloat16_t>;
+
+// Type traits for detecting complex or real floating point numbers.
+template <typename T>
+inline constexpr bool is_inexact_v =
+    is_floating_v<T> || cuda::std::is_same_v<T, complex64_t>;
+
+// Utility to copy data from vector to array in host.
+template <int NDIM = MAX_NDIM, typename T = int32_t>
+inline cuda::std::array<T, NDIM> const_param(const std::vector<T>& vec) {
+  if (vec.size() > NDIM) {
+    throw std::runtime_error(
+        fmt::format("ndim can not be larger than {}.", NDIM));
+  }
+  cuda::std::array<T, NDIM> result;
+  std::copy_n(vec.begin(), vec.size(), result.begin());
+  return result;
+}
+
+// Compute the grid and block dimensions, check backend/common/utils.h for docs.
+dim3 get_block_dims(int dim0, int dim1, int dim2, int pow2 = 10);
+dim3 get_2d_grid_dims(const Shape& shape, const Strides& strides);
+dim3 get_2d_grid_dims(
+    const Shape& shape,
+    const Strides& strides,
+    size_t divisor);
+std::pair<dim3, dim3> get_grid_and_block(int dim0, int dim1, int dim2);
+
+// Return a block size that achieves maximum potential occupancy for kernel.
+template <typename T>
+inline uint max_occupancy_block_dim(T kernel) {
+  int _, block_dim;
+  CHECK_CUDA_ERROR(cudaOccupancyMaxPotentialBlockSize(&_, &block_dim, kernel));
+  return block_dim;
+}
+
+// Get the num_blocks and block_dims that maximize occupancy for |kernel|,
+// assuming each thread handles |work_per_thread| elements of |arr|.
+template <typename T>
+inline std::tuple<dim3, uint> get_launch_args(
+    T kernel,
+    size_t size,
+    const Shape& shape,
+    const Strides& strides,
+    bool large,
+    int work_per_thread = 1) {
+  size_t nthreads = cuda::ceil_div(size, work_per_thread);
+  uint block_dim = max_occupancy_block_dim(kernel);
+  if (block_dim > nthreads) {
+    block_dim = nthreads;
+  }
+  dim3 num_blocks;
+  if (large) {
+    num_blocks = get_2d_grid_dims(shape, strides, work_per_thread);
+    num_blocks.x = cuda::ceil_div(num_blocks.x, block_dim);
+  } else {
+    num_blocks.x = cuda::ceil_div(nthreads, block_dim);
+  }
+  return std::make_tuple(num_blocks, block_dim);
+}
+
+template <typename T>
+inline std::tuple<dim3, uint> get_launch_args(
+    T kernel,
+    const array& arr,
+    bool large,
+    int work_per_thread = 1) {
+  return get_launch_args(
+      kernel, arr.size(), arr.shape(), arr.strides(), large, work_per_thread);
+}
+
+} // namespace mlx::core

mlx/backend/cuda/kernels/fp16_math.cuh

@@ -1,107 +0,0 @@
-// Copyright © 2025 Apple Inc.
-
-#pragma once
-
-#include <cuda_fp16.h>
-#include <cuda/std/limits>
-#include <cuda/std/type_traits>
-
-namespace mlx::core::cu {
-
-///////////////////////////////////////////////////////////////////////////////
-// Missing C++ operator overrides for CUDA 7.
-///////////////////////////////////////////////////////////////////////////////
-
-#if CUDART_VERSION < 12000 && __CUDA_ARCH__ < 800
-
-#define MLX_DEFINE_BF16_OP(OP)                                           \
-  __forceinline__ __device__ __nv_bfloat16 operator OP(                  \
-      __nv_bfloat16 x, __nv_bfloat16 y) {                                \
-    return __float2bfloat16(__bfloat162float(x) OP __bfloat162float(y)); \
-  }
-
-#define MLX_DEFINE_BF16_CMP(OP)                                          \
-  __forceinline__ __device__ bool operator OP(                           \
-      __nv_bfloat16 x, __nv_bfloat16 y) {                                \
-    return __float2bfloat16(__bfloat162float(x) OP __bfloat162float(y)); \
-  }
-
-MLX_DEFINE_BF16_OP(+)
-MLX_DEFINE_BF16_OP(-)
-MLX_DEFINE_BF16_OP(*)
-MLX_DEFINE_BF16_OP(/)
-MLX_DEFINE_BF16_CMP(>)
-MLX_DEFINE_BF16_CMP(<)
-MLX_DEFINE_BF16_CMP(>=)
-MLX_DEFINE_BF16_CMP(<=)
-
-#undef MLX_DEFINE_BF16_OP
-#undef MLX_DEFINE_BF16_CMP
-
-#endif // CUDART_VERSION < 12000 && __CUDA_ARCH__ < 800
-
-///////////////////////////////////////////////////////////////////////////////
-// Additional C++ operator overrides between half types and native types.
-///////////////////////////////////////////////////////////////////////////////
-
-template <typename T, typename U>
-constexpr bool is_integral_except =
-    cuda::std::is_integral_v<T> && !cuda::std::is_same_v<T, U>;
-
-template <typename T, typename U>
-constexpr bool is_arithmetic_except =
-    cuda::std::is_arithmetic_v<T> && !cuda::std::is_same_v<T, U>;
-
-#define MLX_DEFINE_HALF_OP(HALF, HALF2FLOAT, FLOAT2HALF, OP)          \
-  template <                                                          \
-      typename T,                                                     \
-      typename = cuda::std::enable_if_t<is_integral_except<T, HALF>>> \
-  __forceinline__ __device__ HALF operator OP(HALF x, T y) {          \
-    return FLOAT2HALF(HALF2FLOAT(x) OP static_cast<float>(y));        \
-  }                                                                   \
-  template <                                                          \
-      typename T,                                                     \
-      typename = cuda::std::enable_if_t<is_integral_except<T, HALF>>> \
-  __forceinline__ __device__ HALF operator OP(T x, HALF y) {          \
-    return FLOAT2HALF(static_cast<float>(x) OP HALF2FLOAT(y));        \
-  }
-
-#define MLX_DEFINE_HALF_CMP(HALF, HALF2FLOAT, OP)                       \
-  template <                                                            \
-      typename T,                                                       \
-      typename = cuda::std::enable_if_t<is_arithmetic_except<T, HALF>>> \
-  __forceinline__ __device__ bool operator OP(HALF x, T y) {            \
-    return HALF2FLOAT(x) OP static_cast<float>(y);                      \
-  }                                                                     \
-  template <                                                            \
-      typename T,                                                       \
-      typename = cuda::std::enable_if_t<is_arithmetic_except<T, HALF>>> \
-  __forceinline__ __device__ bool operator OP(T x, HALF y) {            \
-    return static_cast<float>(y) OP HALF2FLOAT(x);                      \
-  }
-
-MLX_DEFINE_HALF_OP(__half, __half2float, __float2half, +)
-MLX_DEFINE_HALF_OP(__half, __half2float, __float2half, -)
-MLX_DEFINE_HALF_OP(__half, __half2float, __float2half, *)
-MLX_DEFINE_HALF_OP(__half, __half2float, __float2half, /)
-MLX_DEFINE_HALF_OP(__nv_bfloat16, __bfloat162float, __float2bfloat16, +)
-MLX_DEFINE_HALF_OP(__nv_bfloat16, __bfloat162float, __float2bfloat16, -)
-MLX_DEFINE_HALF_OP(__nv_bfloat16, __bfloat162float, __float2bfloat16, *)
-MLX_DEFINE_HALF_OP(__nv_bfloat16, __bfloat162float, __float2bfloat16, /)
-MLX_DEFINE_HALF_CMP(__half, __half2float, <)
-MLX_DEFINE_HALF_CMP(__half, __half2float, >)
-MLX_DEFINE_HALF_CMP(__half, __half2float, <=)
-MLX_DEFINE_HALF_CMP(__half, __half2float, >=)
-MLX_DEFINE_HALF_CMP(__half, __half2float, ==)
-MLX_DEFINE_HALF_CMP(__half, __half2float, !=)
-MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, <)
-MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, >)
-MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, <=)
-MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, >=)
-MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, ==)
-MLX_DEFINE_HALF_CMP(__nv_bfloat16, __bfloat162float, !=)
-
-#undef MLX_DEFINE_HALF_OP
-#undef MLX_DEFINE_HALF_CMP
-
-} // namespace mlx::core::cu

mlx/backend/cuda/layer_norm.cu

@@ -0,0 +1,389 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/iterators/strided_iterator.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/backend/cuda/reduce/reduce.cuh"
+#include "mlx/backend/gpu/copy.h"
+#include "mlx/dtype_utils.h"
+#include "mlx/fast_primitives.h"
+
+#include <cooperative_groups.h>
+#include <cooperative_groups/reduce.h>
+#include <nvtx3/nvtx3.hpp>
+#include <cub/block/block_load.cuh>
+#include <cub/block/block_reduce.cuh>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+inline __device__ float3 plus_f3(const float3& a, const float3& b) {
+  return {a.x + b.x, a.y + b.y, a.z + b.z};
+}
+
+// Similar to cub::BlockReduce, but result is broadcasted to every thread.
+template <typename T, int BLOCK_DIM>
+struct BlockBroadcastReduce {
+  static_assert(WARP_SIZE <= BLOCK_DIM && BLOCK_DIM <= WARP_SIZE * WARP_SIZE);
+  static_assert(BLOCK_DIM % WARP_SIZE == 0);
+  using TempStorage = T[BLOCK_DIM / WARP_SIZE];
+
+  cg::thread_block& block;
+  TempStorage& temp;
+
+  template <typename Op>
+  __device__ T Reduce(const T& input, const Op& op, const T& init_value) {
+    auto warp = cg::tiled_partition<WARP_SIZE>(block);
+    T x = cg::reduce(warp, input, op);
+    if (warp.thread_rank() == 0) {
+      temp[warp.meta_group_rank()] = x;
+    }
+    block.sync();
+    x = warp.thread_rank() < warp.meta_group_size() ? temp[warp.thread_rank()]
+                                                    : init_value;
+    return cg::reduce(warp, x, op);
+  }
+
+  __device__ T Sum(const T& input) {
+    return Reduce(input, cg::plus<T>{}, T{});
+  }
+};
+
+template <typename T, int BLOCK_DIM, int N_READS = 4>
+__global__ void layer_norm(
+    const T* x,
+    const T* w,
+    const T* b,
+    T* out,
+    float eps,
+    int32_t axis_size,
+    int64_t w_stride,
+    int64_t b_stride) {
+  auto grid = cg::this_grid();
+  auto block = cg::this_thread_block();
+
+  using BlockReduceT = BlockBroadcastReduce<float, BLOCK_DIM>;
+  __shared__ typename BlockReduceT::TempStorage temp;
+
+  x += grid.block_rank() * axis_size;
+  out += grid.block_rank() * axis_size;
+
+  // Sum.
+  float sum = 0;
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    T xn[N_READS] = {};
+    cub::LoadDirectBlocked(index, x, xn, axis_size);
+    sum += static_cast<float>(cub::ThreadReduce(xn, cuda::std::plus<>{}));
+  }
+  sum = BlockReduceT{block, temp}.Sum(sum);
+
+  // Mean.
+  float mean = sum / axis_size;
+
+  // Normalizer.
+  float normalizer = 0;
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    T xn[N_READS];
+    cub::LoadDirectBlocked(index, x, xn, axis_size, mean);
+    for (int i = 0; i < N_READS; ++i) {
+      float t = static_cast<float>(xn[i]) - mean;
+      normalizer += t * t;
+    }
+  }
+  normalizer = BlockReduceT{block, temp}.Sum(normalizer);
+  normalizer = rsqrt(normalizer / axis_size + eps);
+
+  // Outputs.
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    T xn[N_READS];
+    T wn[N_READS];
+    T bn[N_READS];
+    cub::LoadDirectBlocked(index, x, xn, axis_size);
+    cub::LoadDirectBlocked(index, strided_iterator(w, w_stride), wn, axis_size);
+    cub::LoadDirectBlocked(index, strided_iterator(b, b_stride), bn, axis_size);
+    for (int i = 0; i < N_READS; ++i) {
+      float norm = (static_cast<float>(xn[i]) - mean) * normalizer;
+      xn[i] = wn[i] * static_cast<T>(norm) + bn[i];
+    }
+    cub::StoreDirectBlocked(index, out, xn, axis_size);
+  }
+}
+
+template <typename T, bool HAS_W, int BLOCK_DIM, int N_READS = 4>
+__global__ void layer_norm_vjp(
+    const T* x,
+    const T* w,
+    const T* g,
+    T* gx,
+    T* gw,
+    float eps,
+    int32_t axis_size,
+    int64_t w_stride) {
+  auto grid = cg::this_grid();
+  auto block = cg::this_thread_block();
+
+  using BlockReduceF = BlockBroadcastReduce<float, BLOCK_DIM>;
+  using BlockReduceF3 = BlockBroadcastReduce<float3, BLOCK_DIM>;
+  __shared__ union {
+    typename BlockReduceF::TempStorage f;
+    typename BlockReduceF3::TempStorage f3;
+  } temp;
+
+  x += grid.block_rank() * axis_size;
+  g += grid.block_rank() * axis_size;
+  gx += grid.block_rank() * axis_size;
+  gw += grid.block_rank() * axis_size;
+
+  // Sum.
+  float sum = 0;
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    T xn[N_READS] = {};
+    cub::LoadDirectBlocked(index, x, xn, axis_size);
+    sum += static_cast<float>(cub::ThreadReduce(xn, cuda::std::plus<>{}));
+  }
+  sum = BlockReduceF{block, temp.f}.Sum(sum);
+
+  // Mean.
+  float mean = sum / axis_size;
+
+  // Normalizer.
+  float3 factors = {};
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    T xn[N_READS];
+    T wn[N_READS] = {};
+    T gn[N_READS] = {};
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    cub::LoadDirectBlocked(index, x, xn, axis_size, mean);
+    cub::LoadDirectBlocked(index, g, gn, axis_size);
+    cub::LoadDirectBlocked(index, strided_iterator(w, w_stride), wn, axis_size);
+    for (int i = 0; i < N_READS; i++) {
+      float t = static_cast<float>(xn[i]) - mean;
+      float wi = wn[i];
+      float gi = gn[i];
+      float wg = wi * gi;
+      factors = plus_f3(factors, {wg, wg * t, t * t});
+    }
+  }
+  factors = BlockReduceF3{block, temp.f3}.Reduce(factors, plus_f3, {});
+  float meanwg = factors.x / axis_size;
+  float meanwgxc = factors.y / axis_size;
+  float normalizer2 = 1 / (factors.z / axis_size + eps);
+  float normalizer = sqrt(normalizer2);
+
+  // Outputs.
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    T xn[N_READS];
+    T wn[N_READS];
+    T gn[N_READS];
+    cub::LoadDirectBlocked(index, x, xn, axis_size);
+    cub::LoadDirectBlocked(index, g, gn, axis_size);
+    cub::LoadDirectBlocked(index, strided_iterator(w, w_stride), wn, axis_size);
+    for (int i = 0; i < N_READS; i++) {
+      float xi = (static_cast<float>(xn[i]) - mean) * normalizer;
+      float wi = wn[i];
+      float gi = gn[i];
+      xn[i] = normalizer * (wi * gi - meanwg) - xi * meanwgxc * normalizer2;
+      if constexpr (HAS_W) {
+        wn[i] = gi * xi;
+      }
+    }
+    cub::StoreDirectBlocked(index, gx, xn, axis_size);
+    if constexpr (HAS_W) {
+      cub::StoreDirectBlocked(index, gw, wn, axis_size);
+    }
+  }
+}
+
+} // namespace cu
+
+namespace fast {
+
+bool LayerNorm::use_fallback(Stream s) {
+  return s.device == Device::cpu;
+}
+
+// TODO: There are duplicate code with backend/metal/normalization.cpp
+void LayerNorm::eval_gpu(
+    const std::vector<array>& inputs,
+    std::vector<array>& outputs) {
+  nvtx3::scoped_range r("LayerNorm::eval_gpu");
+  auto& s = stream();
+  auto& out = outputs[0];
+
+  // Make sure that the last dimension is contiguous.
+  auto set_output = [&s, &out](const array& x) {
+    bool no_copy = x.flags().contiguous && x.strides()[x.ndim() - 1] == 1;
+    if (no_copy && x.ndim() > 1) {
+      auto s = x.strides()[x.ndim() - 2];
+      no_copy &= (s == 0 || s == x.shape().back());
+    }
+    if (no_copy) {
+      if (x.is_donatable()) {
+        out.copy_shared_buffer(x);
+      } else {
+        out.set_data(
+            allocator::malloc(x.data_size() * x.itemsize()),
+            x.data_size(),
+            x.strides(),
+            x.flags());
+      }
+      return x;
+    } else {
+      auto x_copy = array(x.shape(), x.dtype(), nullptr, {});
+      copy_gpu(x, x_copy, CopyType::General, s);
+      out.copy_shared_buffer(x_copy);
+      return x_copy;
+    }
+  };
+
+  const array x = set_output(inputs[0]);
+  const array& w = inputs[1];
+  const array& b = inputs[2];
+
+  int32_t axis_size = x.shape().back();
+  int32_t n_rows = x.data_size() / axis_size;
+  int64_t w_stride = (w.ndim() == 1) ? w.strides()[0] : 0;
+  int64_t b_stride = (b.ndim() == 1) ? b.strides()[0] : 0;
+
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(x);
+  encoder.set_input_array(w);
+  encoder.set_input_array(b);
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_FLOAT_TYPES_CHECKED(out.dtype(), "layernorm", CTYPE, {
+      using DataType = cuda_type_t<CTYPE>;
+      constexpr uint32_t N_READS = 4;
+      MLX_SWITCH_BLOCK_DIM(cuda::ceil_div(axis_size, N_READS), BLOCK_DIM, {
+        auto kernel = cu::layer_norm<DataType, BLOCK_DIM, N_READS>;
+        kernel<<<n_rows, BLOCK_DIM, 0, stream>>>(
+            x.data<DataType>(),
+            w.data<DataType>(),
+            b.data<DataType>(),
+            out.data<DataType>(),
+            eps_,
+            axis_size,
+            w_stride,
+            b_stride);
+      });
+    });
+  });
+}
+
+void LayerNormVJP::eval_gpu(
+    const std::vector<array>& inputs,
+    std::vector<array>& outputs) {
+  nvtx3::scoped_range r("LayerNormVJP::eval_gpu");
+  auto& s = stream();
+  auto& encoder = cu::get_command_encoder(s);
+
+  // Ensure row contiguity. We could relax this step by checking that the array
+  // is contiguous (no broadcasts or holes) and that the input strides are the
+  // same as the cotangent strides but for now this is simpler.
+  auto check_input = [&s](const array& x) -> std::pair<array, bool> {
+    if (x.flags().row_contiguous) {
+      return {x, false};
+    }
+    array x_copy(x.shape(), x.dtype(), nullptr, {});
+    copy_gpu(x, x_copy, CopyType::General, s);
+    return {x_copy, true};
+  };
+  bool donate_x = inputs[0].is_donatable();
+  bool donate_g = inputs[3].is_donatable();
+  auto [x, copied] = check_input(inputs[0]);
+  donate_x |= copied;
+  const array& w = inputs[1];
+  const array& b = inputs[2];
+  auto [g, g_copied] = check_input(inputs[3]);
+  donate_g |= g_copied;
+  array& gx = outputs[0];
+  array& gw = outputs[1];
+  array& gb = outputs[2];
+
+  // Check whether we had a weight.
+  bool has_w = w.ndim() != 0;
+
+  // Allocate space for the outputs.
+  bool g_in_gx = false;
+  if (donate_x) {
+    gx.copy_shared_buffer(x);
+  } else if (donate_g) {
+    gx.copy_shared_buffer(g);
+    g_in_gx = true;
+  } else {
+    gx.set_data(allocator::malloc(gx.nbytes()));
+  }
+  if (g_copied && !g_in_gx) {
+    encoder.add_temporary(g);
+  }
+
+  int32_t axis_size = x.shape().back();
+  int32_t n_rows = x.data_size() / axis_size;
+  int64_t w_stride = (w.ndim() == 1) ? w.strides()[0] : 0;
+
+  // Allocate a temporary to store the gradients for w and allocate the output
+  // gradient accumulators.
+  array gw_temp =
+      (has_w) ? array({n_rows, x.shape().back()}, gw.dtype(), nullptr, {}) : w;
+  if (has_w) {
+    if (!g_in_gx && donate_g) {
+      gw_temp.copy_shared_buffer(g);
+    } else {
+      gw_temp.set_data(allocator::malloc(gw_temp.nbytes()));
+      encoder.add_temporary(gw_temp);
+    }
+  }
+  gw.set_data(allocator::malloc(gw.nbytes()));
+  gb.set_data(allocator::malloc(gb.nbytes()));
+
+  // Finish with the gradient for b in case we had a b.
+  if (gb.ndim() == 1 && gb.size() == axis_size) {
+    ReductionPlan plan(
+        ReductionOpType::ContiguousStridedReduce, {n_rows}, {axis_size});
+    col_reduce(encoder, g, gb, Reduce::ReduceType::Sum, {0}, plan);
+  }
+
+  encoder.set_input_array(x);
+  encoder.set_input_array(w);
+  encoder.set_input_array(g);
+  encoder.set_output_array(gx);
+  encoder.set_output_array(gw_temp);
+  encoder.launch_kernel([&, x = x, g = g](cudaStream_t stream) {
+    MLX_SWITCH_FLOAT_TYPES_CHECKED(gx.dtype(), "layernorm_vjp", CTYPE, {
+      using DataType = cuda_type_t<CTYPE>;
+      constexpr int N_READS = 4;
+      MLX_SWITCH_BOOL(has_w, HAS_W, {
+        MLX_SWITCH_BLOCK_DIM(cuda::ceil_div(axis_size, N_READS), BLOCK_DIM, {
+          auto kernel = cu::layer_norm_vjp<DataType, HAS_W, BLOCK_DIM, N_READS>;
+          kernel<<<n_rows, BLOCK_DIM, 0, stream>>>(
+              x.data<DataType>(),
+              w.data<DataType>(),
+              g.data<DataType>(),
+              gx.data<DataType>(),
+              gw_temp.data<DataType>(),
+              eps_,
+              axis_size,
+              w_stride);
+        });
+      });
+    });
+  });
+
+  if (has_w) {
+    ReductionPlan plan(
+        ReductionOpType::ContiguousStridedReduce, {n_rows}, {axis_size});
+    col_reduce(encoder, gw_temp, gw, Reduce::ReduceType::Sum, {0}, plan);
+  }
+}
+
+} // namespace fast
+
+} // namespace mlx::core

mlx/backend/cuda/logsumexp.cu

@@ -0,0 +1,159 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/device/cast_op.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/backend/gpu/copy.h"
+#include "mlx/dtype_utils.h"
+#include "mlx/primitives.h"
+
+#include <cooperative_groups.h>
+#include <cooperative_groups/reduce.h>
+#include <nvtx3/nvtx3.hpp>
+#include <cub/block/block_load.cuh>
+
+#include <cassert>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+template <typename T>
+inline __device__ T softmax_exp(T x) {
+  // Softmax doesn't need high precision exponential cause x is gonna be in
+  // (-oo, 0] anyway and subsequently it will be divided by sum(exp(x_i)).
+  return __expf(x);
+}
+
+template <typename T, typename AccT, int BLOCK_DIM, int N_READS = 4>
+__global__ void logsumexp(const T* in, T* out, int axis_size) {
+  auto grid = cg::this_grid();
+  auto block = cg::this_thread_block();
+  auto warp = cg::tiled_partition<WARP_SIZE>(block);
+
+  in += grid.block_rank() * axis_size;
+
+  cg::greater<AccT> max_op;
+  cg::plus<AccT> plus_op;
+
+  // Thread reduce.
+  AccT prevmax;
+  AccT maxval = Limits<AccT>::finite_min();
+  AccT normalizer = 0;
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); r++) {
+    AccT vals[N_READS];
+    cub::LoadDirectBlocked(
+        r * BLOCK_DIM + block.thread_rank(),
+        make_cast_iterator<AccT>(in),
+        vals,
+        axis_size,
+        Limits<AccT>::min());
+    prevmax = maxval;
+    maxval = max_op(maxval, cub::ThreadReduce(vals, max_op));
+    // Online normalizer calculation for softmax:
+    // https://github.com/NVIDIA/online-softmax
+    normalizer = normalizer * softmax_exp(prevmax - maxval);
+    for (int i = 0; i < N_READS; i++) {
+      normalizer = normalizer + softmax_exp(vals[i] - maxval);
+    }
+  }
+
+  // First warp reduce.
+  prevmax = maxval;
+  maxval = cg::reduce(warp, maxval, max_op);
+  normalizer = normalizer * softmax_exp(prevmax - maxval);
+  normalizer = cg::reduce(warp, normalizer, plus_op);
+
+  __shared__ AccT local_max[WARP_SIZE];
+  __shared__ AccT local_normalizer[WARP_SIZE];
+
+  // Write to shared memory and do second warp reduce.
+  prevmax = maxval;
+  if (warp.thread_rank() == 0) {
+    local_max[warp.meta_group_rank()] = maxval;
+  }
+  block.sync();
+  maxval = warp.thread_rank() < warp.meta_group_size()
+      ? local_max[warp.thread_rank()]
+      : Limits<AccT>::finite_min();
+  maxval = cg::reduce(warp, maxval, max_op);
+  normalizer = normalizer * softmax_exp(prevmax - maxval);
+  if (warp.thread_rank() == 0) {
+    local_normalizer[warp.meta_group_rank()] = normalizer;
+  }
+  block.sync();
+  normalizer = warp.thread_rank() < warp.meta_group_size()
+      ? local_normalizer[warp.thread_rank()]
+      : AccT{};
+  normalizer = cg::reduce(warp, normalizer, plus_op);
+
+  // Write output.
+  if (block.thread_rank() == 0) {
+    out[grid.block_rank()] = isinf(maxval) ? maxval : log(normalizer) + maxval;
+  }
+}
+
+} // namespace cu
+
+void LogSumExp::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("LogSumExp::eval_gpu");
+  assert(inputs.size() == 1);
+  auto& s = stream();
+  auto& encoder = cu::get_command_encoder(s);
+
+  // Make sure that the last dimension is contiguous.
+  auto ensure_contiguous = [&s, &encoder](const array& x) {
+    if (x.flags().contiguous && x.strides()[x.ndim() - 1] == 1) {
+      return x;
+    } else {
+      auto x_copy = array(x.shape(), x.dtype(), nullptr, {});
+      copy_gpu(x, x_copy, CopyType::General, s);
+      encoder.add_temporary(x_copy);
+      return x_copy;
+    }
+  };
+
+  auto in = ensure_contiguous(inputs[0]);
+  if (in.flags().row_contiguous) {
+    out.set_data(allocator::malloc(out.nbytes()));
+  } else {
+    auto n = in.shape(-1);
+    auto flags = in.flags();
+    auto strides = in.strides();
+    for (auto& s : strides) {
+      s /= n;
+    }
+    bool col_contig = strides[0] == 1;
+    for (int i = 1; col_contig && i < strides.size(); ++i) {
+      col_contig &=
+          (out.shape(i) == 1 || strides[i - 1] == out.shape(i) * strides[i]);
+    }
+    flags.col_contiguous = col_contig;
+    out.set_data(
+        allocator::malloc(in.nbytes() / n),
+        in.data_size() / n,
+        std::move(strides),
+        flags);
+  }
+
+  int axis_size = in.shape().back();
+  int n_rows = in.data_size() / axis_size;
+
+  encoder.set_input_array(in);
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_FLOAT_TYPES_CHECKED(out.dtype(), "logsumexp", CTYPE, {
+      using DataType = cuda_type_t<CTYPE>;
+      constexpr int N_READS = 4;
+      MLX_SWITCH_BLOCK_DIM(cuda::ceil_div(axis_size, N_READS), BLOCK_DIM, {
+        auto kernel = cu::logsumexp<DataType, float, BLOCK_DIM, N_READS>;
+        kernel<<<n_rows, BLOCK_DIM, 0, stream>>>(
+            in.data<DataType>(), out.data<DataType>(), axis_size);
+      });
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/matmul.cpp

@@ -0,0 +1,496 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/common/matmul.h"
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/gpu/copy.h"
+#include "mlx/dtype_utils.h"
+#include "mlx/primitives.h"
+#include "mlx/utils.h"
+
+#include <cublasLt.h>
+#include <fmt/format.h>
+#include <nvtx3/nvtx3.hpp>
+
+#include <numeric>
+
+namespace mlx::core {
+
+namespace cu {
+
+#define CHECK_CUBLAS_ERROR(cmd) check_cublas_error(#cmd, (cmd))
+
+void check_cublas_error(const char* name, cublasStatus_t err) {
+  if (err != CUBLAS_STATUS_SUCCESS) {
+    // TODO: Use cublasGetStatusString when it is widely available.
+    throw std::runtime_error(
+        fmt::format("{} failed with code: {}.", name, static_cast<int>(err)));
+  }
+}
+
+class MatMul {
+ public:
+  MatMul(
+      Device& device,
+      Dtype dtype,
+      bool a_transposed,
+      uint64_t a_rows,
+      uint64_t a_cols,
+      int64_t lda,
+      bool b_transposed,
+      uint64_t b_rows,
+      uint64_t b_cols,
+      int64_t ldb,
+      int32_t batch_count,
+      int64_t a_batch_stride,
+      int64_t b_batch_stride) {
+    heuristic_.state = CUBLAS_STATUS_NOT_INITIALIZED;
+
+    auto scale_type = dtype_to_cuda_type(dtype);
+    if (dtype == bfloat16 || dtype == float16) {
+      scale_type = CUDA_R_32F;
+    }
+    CHECK_CUBLAS_ERROR(cublasLtMatmulDescCreate(
+        &matmul_desc_, dtype_to_compute_type(dtype), scale_type));
+    int32_t pointer_mode = CUBLASLT_POINTER_MODE_HOST;
+    CHECK_CUBLAS_ERROR(cublasLtMatmulDescSetAttribute(
+        matmul_desc_,
+        CUBLASLT_MATMUL_DESC_POINTER_MODE,
+        &pointer_mode,
+        sizeof(int32_t)));
+    cublasOperation_t op = CUBLAS_OP_N;
+    CHECK_CUBLAS_ERROR(cublasLtMatmulDescSetAttribute(
+        matmul_desc_,
+        CUBLASLT_MATMUL_DESC_TRANSA,
+        &op,
+        sizeof(cublasOperation_t)));
+    CHECK_CUBLAS_ERROR(cublasLtMatmulDescSetAttribute(
+        matmul_desc_,
+        CUBLASLT_MATMUL_DESC_TRANSB,
+        &op,
+        sizeof(cublasOperation_t)));
+
+    auto type = dtype_to_cuda_type(dtype);
+    a_desc_ = create_matrix_layout(
+        type, a_rows, a_cols, a_transposed, lda, batch_count, a_batch_stride);
+    b_desc_ = create_matrix_layout(
+        type, b_rows, b_cols, b_transposed, ldb, batch_count, b_batch_stride);
+    out_desc_ = create_matrix_layout(
+        type, a_rows, b_cols, false, b_cols, batch_count, a_rows * b_cols);
+
+    // The recommended cublas workspace size is 4 MiB for pre-Hopper and 32 MiB
+    // for Hopper+:
+    // https://docs.nvidia.com/cuda/cublas/#cublassetworkspace
+    uint64_t MiB = 1024 * 1024;
+    uint64_t workspace_size =
+        device.compute_capability_major() >= 9 ? 32 * MiB : 4 * MiB;
+
+    CHECK_CUBLAS_ERROR(cublasLtMatmulPreferenceCreate(&pref_));
+    CHECK_CUBLAS_ERROR(cublasLtMatmulPreferenceSetAttribute(
+        pref_,
+        CUBLASLT_MATMUL_PREF_MAX_WORKSPACE_BYTES,
+        &workspace_size,
+        sizeof(uint64_t)));
+  }
+
+  MatMul(
+      Device& device,
+      Dtype dtype,
+      bool a_transposed,
+      uint64_t a_rows,
+      uint64_t a_cols,
+      int64_t lda,
+      bool b_transposed,
+      uint64_t b_rows,
+      uint64_t b_cols,
+      int64_t ldb,
+      bool c_transposed,
+      int64_t ldc,
+      int32_t batch_count,
+      int64_t a_batch_stride,
+      int64_t b_batch_stride,
+      int64_t c_batch_stride)
+      : MatMul(
+            device,
+            dtype,
+            a_transposed,
+            a_rows,
+            a_cols,
+            lda,
+            b_transposed,
+            b_rows,
+            b_cols,
+            ldb,
+            batch_count,
+            a_batch_stride,
+            b_batch_stride) {
+    auto type = dtype_to_cuda_type(dtype);
+    c_desc_ = create_matrix_layout(
+        type, a_rows, b_cols, c_transposed, ldc, batch_count, c_batch_stride);
+  }
+
+  ~MatMul() {
+    cublasLtMatrixLayoutDestroy(a_desc_);
+    cublasLtMatrixLayoutDestroy(b_desc_);
+    cublasLtMatrixLayoutDestroy(c_desc_);
+    cublasLtMatrixLayoutDestroy(out_desc_);
+    cublasLtMatmulDescDestroy(matmul_desc_);
+  }
+
+  void run(
+      cu::CommandEncoder& encoder,
+      void* out,
+      void* a,
+      void* b,
+      void* c = nullptr,
+      float alpha = 1,
+      float beta = 0) {
+    if (heuristic_.state != CUBLAS_STATUS_SUCCESS) {
+      int ret = 0;
+      CHECK_CUBLAS_ERROR(cublasLtMatmulAlgoGetHeuristic(
+          encoder.device().lt_handle(),
+          matmul_desc_,
+          a_desc_,
+          b_desc_,
+          out_desc_,
+          out_desc_,
+          pref_,
+          1,
+          &heuristic_,
+          &ret));
+      if (ret == 0) {
+        throw std::runtime_error("Can not find algorithm for matmul.");
+      }
+    }
+
+    void* workspace_ptr = nullptr;
+    if (heuristic_.workspaceSize > 0) {
+      array workspace(
+          allocator::malloc(heuristic_.workspaceSize),
+          {static_cast<int>(heuristic_.workspaceSize)},
+          int8);
+      encoder.add_temporary(workspace);
+      workspace_ptr = workspace.data<void>();
+    }
+
+    encoder.launch_kernel([&](cudaStream_t stream) {
+      CHECK_CUBLAS_ERROR(cublasLtMatmul(
+          encoder.device().lt_handle(),
+          matmul_desc_,
+          &alpha,
+          a,
+          a_desc_,
+          b,
+          b_desc_,
+          &beta,
+          c ? c : out,
+          c ? c_desc_ : out_desc_,
+          out,
+          out_desc_,
+          &heuristic_.algo,
+          workspace_ptr,
+          heuristic_.workspaceSize,
+          stream));
+    });
+  }
+
+ private:
+  cublasComputeType_t dtype_to_compute_type(Dtype dtype) {
+    switch (dtype) {
+      case float16:
+        return CUBLAS_COMPUTE_32F;
+      case bfloat16:
+        return CUBLAS_COMPUTE_32F;
+      case float32:
+        return mlx::core::env::enable_tf32() ? CUBLAS_COMPUTE_32F_FAST_TF32
+                                             : CUBLAS_COMPUTE_32F;
+      case float64:
+      case complex64:
+        return CUBLAS_COMPUTE_64F;
+      default:
+        throw std::runtime_error(fmt::format(
+            "Unsupported dtype in MatMul: {}.", dtype_to_string(dtype)));
+    }
+  }
+
+  cudaDataType_t dtype_to_cuda_type(Dtype dtype) {
+    switch (dtype) {
+      case float16:
+        return CUDA_R_16F;
+      case bfloat16:
+        return CUDA_R_16BF;
+      case float32:
+        return CUDA_R_32F;
+      case float64:
+        return CUDA_R_64F;
+      case complex64:
+        return CUDA_C_32F;
+      default:
+        throw std::runtime_error(fmt::format(
+            "Unsupported dtype in MatMul: {}.", dtype_to_string(dtype)));
+    }
+  }
+
+  cublasLtMatrixLayout_t create_matrix_layout(
+      cudaDataType_t type,
+      uint64_t rows,
+      uint64_t cols,
+      bool transposed,
+      int64_t ld,
+      int32_t batch_count,
+      int64_t batch_stride) {
+    cublasLtMatrixLayout_t desc;
+    CHECK_CUBLAS_ERROR(cublasLtMatrixLayoutCreate(&desc, type, rows, cols, ld));
+    cublasLtOrder_t order =
+        transposed ? CUBLASLT_ORDER_COL : CUBLASLT_ORDER_ROW;
+    CHECK_CUBLAS_ERROR(cublasLtMatrixLayoutSetAttribute(
+        desc, CUBLASLT_MATRIX_LAYOUT_ORDER, &order, sizeof(cublasLtOrder_t)));
+    if (batch_count > 1) {
+      CHECK_CUBLAS_ERROR(cublasLtMatrixLayoutSetAttribute(
+          desc,
+          CUBLASLT_MATRIX_LAYOUT_BATCH_COUNT,
+          &batch_count,
+          sizeof(int32_t)));
+      CHECK_CUBLAS_ERROR(cublasLtMatrixLayoutSetAttribute(
+          desc,
+          CUBLASLT_MATRIX_LAYOUT_STRIDED_BATCH_OFFSET,
+          &batch_stride,
+          sizeof(int64_t)));
+    }
+    return desc;
+  }
+
+  cublasLtMatmulDesc_t matmul_desc_{nullptr};
+  cublasLtMatmulPreference_t pref_{nullptr};
+  cublasLtMatrixLayout_t a_desc_{nullptr};
+  cublasLtMatrixLayout_t b_desc_{nullptr};
+  cublasLtMatrixLayout_t c_desc_{nullptr};
+  cublasLtMatrixLayout_t out_desc_{nullptr};
+  cublasLtMatmulHeuristicResult_t heuristic_;
+};
+
+} // namespace cu
+
+namespace {
+
+std::tuple<bool, int64_t, array>
+check_transpose(std::vector<array>& copies, const Stream& s, const array& arr) {
+  auto stx = arr.strides()[arr.ndim() - 2];
+  auto sty = arr.strides()[arr.ndim() - 1];
+  if (sty == 1 && stx == arr.shape(-1)) {
+    return std::make_tuple(false, stx, arr);
+  } else if (stx == 1 && sty == arr.shape(-2)) {
+    return std::make_tuple(true, sty, arr);
+  } else {
+    array arr_copy(arr.shape(), arr.dtype(), nullptr, {});
+    copy_gpu(arr, arr_copy, CopyType::General, s);
+    copies.push_back(arr_copy);
+    return std::make_tuple(false, arr.shape(-1), arr_copy);
+  }
+}
+
+} // namespace
+
+void Matmul::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("Matmul::eval_gpu");
+  auto& s = stream();
+  auto& encoder = cu::get_command_encoder(s);
+
+  assert(inputs.size() == 2);
+  auto& a_pre = inputs[0];
+  auto& b_pre = inputs[1];
+  // Return 0s if either input is empty.
+  if (a_pre.size() == 0 || b_pre.size() == 0) {
+    array zero(0, a_pre.dtype());
+    encoder.add_temporary(zero);
+    fill_gpu(zero, out, s);
+    return;
+  }
+
+  out.set_data(allocator::malloc(out.nbytes()));
+
+  /////////////////////////////////////////////////////////////////////////////
+  // Init checks and prep
+
+  int M = a_pre.shape(-2);
+  int N = b_pre.shape(-1);
+  int K = a_pre.shape(-1);
+
+  // Keep a vector with copies to be cleared in the completed buffer to release
+  // the arrays
+  std::vector<array> copies;
+  auto [a_transposed, lda, a] = check_transpose(copies, s, a_pre);
+  auto [b_transposed, ldb, b] = check_transpose(copies, s, b_pre);
+
+  for (auto& temp : copies) {
+    encoder.add_temporary(temp);
+  }
+
+  /////////////////////////////////////////////////////////////////////////////
+  // Check and collapse batch dimensions
+
+  auto [batch_shape, a_batch_strides, b_batch_strides] = collapse_batches(a, b);
+
+  auto batch_count = out.size() / (M * N);
+
+  // Collapse batches into M if needed
+  if (batch_count > 1 && !a_transposed && batch_shape.size() == 1 &&
+      a.strides()[a.ndim() - 2] == K && a_batch_strides.back() == M * K &&
+      b_batch_strides.back() == 0) {
+    M *= batch_shape.back();
+    batch_count = 1;
+
+    a_batch_strides = {0};
+    b_batch_strides = {0};
+    batch_shape = {1};
+  }
+
+  /////////////////////////////////////////////////////////////////////////////
+  // Invoke cublasLt
+
+  cu::MatMul matmul(
+      encoder.device(),
+      a.dtype(),
+      a_transposed,
+      M,
+      K,
+      lda,
+      b_transposed,
+      K,
+      N,
+      ldb,
+      batch_shape.back(),
+      a_batch_strides.back(),
+      b_batch_strides.back());
+
+  encoder.set_input_array(a);
+  encoder.set_input_array(b);
+  encoder.set_output_array(out);
+  auto nbatch = batch_count / batch_shape.back();
+  if (nbatch == 1) {
+    matmul.run(encoder, out.data<int8_t>(), a.data<int8_t>(), b.data<int8_t>());
+    return;
+  }
+
+  ContiguousIterator a_it(batch_shape, a_batch_strides, batch_shape.size() - 1);
+  ContiguousIterator b_it(batch_shape, b_batch_strides, batch_shape.size() - 1);
+  for (size_t i = 0; i < nbatch; ++i) {
+    matmul.run(
+        encoder,
+        out.data<int8_t>() + out.itemsize() * i * batch_shape.back() * M * N,
+        a.data<int8_t>() + a.itemsize() * a_it.loc,
+        b.data<int8_t>() + b.itemsize() * b_it.loc);
+    a_it.step();
+    b_it.step();
+  }
+}
+
+void AddMM::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("AddMM::eval_gpu");
+  auto& s = stream();
+  auto& encoder = cu::get_command_encoder(s);
+
+  assert(inputs.size() == 3);
+  auto& a_pre = inputs[0];
+  auto& b_pre = inputs[1];
+  auto& c_pre = inputs[2];
+
+  out.set_data(allocator::malloc(out.nbytes()));
+
+  /////////////////////////////////////////////////////////////////////////////
+  // Init checks and prep
+
+  int M = a_pre.shape(-2);
+  int N = b_pre.shape(-1);
+  int K = a_pre.shape(-1);
+
+  // Keep a vector with copies to be cleared in the completed buffer to release
+  // the arrays
+  std::vector<array> copies;
+  auto [a_transposed, lda, a] = check_transpose(copies, s, a_pre);
+  auto [b_transposed, ldb, b] = check_transpose(copies, s, b_pre);
+  auto [c_transposed, ldc, c] = check_transpose(copies, s, c_pre);
+
+  for (auto& temp : copies) {
+    encoder.add_temporary(temp);
+  }
+
+  /////////////////////////////////////////////////////////////////////////////
+  // Check and collapse batch dimensions
+
+  auto [batch_shape, a_batch_strides, b_batch_strides, c_batch_strides] =
+      collapse_batches(a, b, c);
+
+  auto batch_count = out.size() / (M * N);
+
+  // Collapse batches into M if needed
+  if (batch_count > 1 && !a_transposed && batch_shape.size() == 1 &&
+      a.strides()[a.ndim() - 2] == K && a_batch_strides.back() == M * K &&
+      c_batch_strides.back() == M * c.strides()[c.ndim() - 2] &&
+      b_batch_strides.back() == 0) {
+    M *= batch_shape.back();
+    batch_count = 1;
+
+    a_batch_strides = {0};
+    b_batch_strides = {0};
+    c_batch_strides = {0};
+    batch_shape = {1};
+  }
+
+  /////////////////////////////////////////////////////////////////////////////
+  // Invoke cublasLt
+
+  cu::MatMul matmul(
+      encoder.device(),
+      a.dtype(),
+      a_transposed,
+      M,
+      K,
+      lda,
+      b_transposed,
+      K,
+      N,
+      ldb,
+      c_transposed,
+      ldc,
+      batch_shape.back(),
+      a_batch_strides.back(),
+      b_batch_strides.back(),
+      c_batch_strides.back());
+
+  encoder.set_input_array(a);
+  encoder.set_input_array(b);
+  encoder.set_input_array(c);
+  encoder.set_output_array(out);
+
+  auto nbatch = batch_count / batch_shape.back();
+  if (nbatch == 1) {
+    matmul.run(
+        encoder,
+        out.data<int8_t>(),
+        a.data<int8_t>(),
+        b.data<int8_t>(),
+        c.data<int8_t>(),
+        alpha_,
+        beta_);
+    return;
+  }
+
+  ContiguousIterator a_it(batch_shape, a_batch_strides, batch_shape.size() - 1);
+  ContiguousIterator b_it(batch_shape, b_batch_strides, batch_shape.size() - 1);
+  ContiguousIterator c_it(batch_shape, c_batch_strides, batch_shape.size() - 1);
+  for (size_t i = 0; i < nbatch; ++i) {
+    matmul.run(
+        encoder,
+        out.data<int8_t>() + out.itemsize() * i * batch_shape.back() * M * N,
+        a.data<int8_t>() + a.itemsize() * a_it.loc,
+        b.data<int8_t>() + b.itemsize() * b_it.loc,
+        c.data<int8_t>() + c.itemsize() * c_it.loc,
+        alpha_,
+        beta_);
+    a_it.step();
+    b_it.step();
+    c_it.step();
+  }
+}
+
+} // namespace mlx::core

mlx/backend/cuda/no_cuda.cpp

@@ -0,0 +1,11 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/cuda.h"
+
+namespace mlx::core::cu {
+
+bool is_available() {
+  return false;
+}
+
+} // namespace mlx::core::cu

mlx/backend/cuda/primitives.cu

@@ -1,9 +1,9 @@
 // Copyright © 2025 Apple Inc.
 
 #include "mlx/backend/cuda/device.h"
-#include "mlx/backend/cuda/dtype_utils.cuh"
-#include "mlx/backend/cuda/kernels/arange.cuh"
-#include "mlx/backend/cuda/kernels/fp16_math.cuh"
+#include "mlx/backend/cuda/device/arange.cuh"
+#include "mlx/backend/cuda/device/fp16_math.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
 #include "mlx/distributed/primitives.h"
 #include "mlx/dtype_utils.h"
 #include "mlx/fast_primitives.h"
@@ -43,111 +43,54 @@ void Arange::eval_gpu(const std::vector<array>& inputs, array& out) {
   });
 }
 
+bool fast::ScaledDotProductAttention::use_fallback(
+    const array& q,
+    const array& k,
+    const array& v,
+    bool has_mask,
+    bool has_arr_mask,
+    bool do_causal,
+    Stream s) {
+  return true;
+}
+
 #define NO_GPU_MULTI(func)                                             \
   void func::eval_gpu(                                                 \
       const std::vector<array>& inputs, std::vector<array>& outputs) { \
     throw std::runtime_error(#func " has no CUDA implementation.");    \
   }
 
+#define NO_GPU_USE_FALLBACK(func)     \
+  bool func::use_fallback(Stream s) { \
+    return true;                      \
+  }                                   \
+  NO_GPU_MULTI(func)
+
 #define NO_GPU(func)                                                  \
   void func::eval_gpu(const std::vector<array>& inputs, array& out) { \
     throw std::runtime_error(#func " has no CUDA implementation.");   \
   }
 
-NO_GPU(Abs)
-NO_GPU(Add)
-NO_GPU(AddMM)
-NO_GPU(ArcCos)
-NO_GPU(ArcCosh)
-NO_GPU(ArcSin)
-NO_GPU(ArcSinh)
-NO_GPU(ArcTan)
-NO_GPU(ArcTan2)
-NO_GPU(ArcTanh)
-NO_GPU(ArgPartition)
-NO_GPU(ArgReduce)
-NO_GPU(ArgSort)
-NO_GPU(BitwiseBinary)
-NO_GPU(BitwiseInvert)
 NO_GPU(BlockMaskedMM)
-NO_GPU(Ceil)
-NO_GPU_MULTI(Compiled)
-NO_GPU(Conjugate)
 NO_GPU(Convolution)
-NO_GPU(Cos)
-NO_GPU(Cosh)
-NO_GPU(Divide)
-NO_GPU_MULTI(DivMod)
 NO_GPU(DynamicSlice)
 NO_GPU(DynamicSliceUpdate)
-NO_GPU(Remainder)
-NO_GPU(Equal)
-NO_GPU(Erf)
-NO_GPU(ErfInv)
-NO_GPU(Exp)
-NO_GPU(Expm1)
 NO_GPU(FFT)
-NO_GPU(Floor)
-NO_GPU(Gather)
-NO_GPU(GatherAxis)
 NO_GPU(GatherMM)
 NO_GPU(GatherQMM)
-NO_GPU(Greater)
-NO_GPU(GreaterEqual)
 NO_GPU(Hadamard)
-NO_GPU(Imag)
-NO_GPU(Less)
-NO_GPU(LessEqual)
 NO_GPU(Load)
-NO_GPU(Log)
-NO_GPU(Log1p)
-NO_GPU(LogicalNot)
-NO_GPU(LogicalAnd)
-NO_GPU(LogicalOr)
-NO_GPU(LogAddExp)
-NO_GPU(LogSumExp)
 NO_GPU_MULTI(LUF)
-NO_GPU(Matmul)
-NO_GPU(Maximum)
-NO_GPU(Minimum)
-NO_GPU(Multiply)
-NO_GPU(Negative)
-NO_GPU(NotEqual)
-NO_GPU(Partition)
-NO_GPU(Power)
 NO_GPU_MULTI(QRF)
 NO_GPU(QuantizedMatmul)
-NO_GPU(RandomBits)
-NO_GPU(Real)
-NO_GPU(Reduce)
-NO_GPU(Round)
 NO_GPU(Scan)
-NO_GPU(Scatter)
-NO_GPU(ScatterAxis)
-NO_GPU(Select)
-NO_GPU(Sigmoid)
-NO_GPU(Sign)
-NO_GPU(Sin)
-NO_GPU(Sinh)
-NO_GPU(SliceUpdate)
-NO_GPU(Softmax)
-NO_GPU(Sort)
-NO_GPU(Square)
-NO_GPU(Sqrt)
-NO_GPU(Subtract)
 NO_GPU_MULTI(SVD)
-NO_GPU(Tan)
-NO_GPU(Tanh)
 NO_GPU(Inverse)
 NO_GPU(Cholesky)
+NO_GPU_MULTI(Eig)
 NO_GPU_MULTI(Eigh)
 
 namespace fast {
-NO_GPU_MULTI(LayerNorm)
-NO_GPU_MULTI(LayerNormVJP)
-NO_GPU_MULTI(RMSNorm)
-NO_GPU_MULTI(RMSNormVJP)
-NO_GPU_MULTI(RoPE)
 NO_GPU(ScaledDotProductAttention)
 NO_GPU_MULTI(AffineQuantize)
 NO_GPU_MULTI(CustomKernel)

mlx/backend/cuda/random.cu

@@ -0,0 +1,189 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/primitives.h"
+
+#include <cooperative_groups.h>
+#include <nvtx3/nvtx3.hpp>
+
+#include <cassert>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+__constant__ constexpr uint32_t rotations[2][4] = {
+    {13, 15, 26, 6},
+    {17, 29, 16, 24}};
+
+union rbits {
+  uint2 val;
+  uint8_t bytes[2][4];
+};
+
+__device__ rbits threefry2x32_hash(uint2 key, uint2 count) {
+  uint32_t ks[] = {key.x, key.y, key.x ^ key.y ^ 0x1BD11BDA};
+
+  rbits v;
+  v.val.x = count.x + ks[0];
+  v.val.y = count.y + ks[1];
+
+  for (int i = 0; i < 5; ++i) {
+    for (auto r : rotations[i % 2]) {
+      v.val.x += v.val.y;
+      v.val.y = (v.val.y << r) | (v.val.y >> (32 - r));
+      v.val.y ^= v.val.x;
+    }
+    v.val.x += ks[(i + 1) % 3];
+    v.val.y += ks[(i + 2) % 3] + i + 1;
+  }
+
+  return v;
+}
+
+__global__ void rbitsc(
+    const uint32_t* keys,
+    uint8_t* out,
+    dim3 grid_dims,
+    bool odd,
+    uint32_t bytes_per_key) {
+  auto grid = cg::this_grid();
+  uint thread_index = grid.thread_rank();
+  uint index_x = thread_index % grid_dims.x;
+  uint index_y = thread_index / grid_dims.x;
+  if (index_x >= grid_dims.x || index_y >= grid_dims.y) {
+    return;
+  }
+
+  auto kidx = 2 * index_x;
+  auto key = uint2{keys[kidx], keys[kidx + 1]};
+  auto half_size = grid_dims.y - odd;
+  out += index_x * bytes_per_key;
+  bool drop_last = odd && (index_y == half_size);
+  auto bits = threefry2x32_hash(
+      key, uint2{index_y, drop_last ? 0 : index_y + grid_dims.y});
+  size_t idx = size_t(index_y) << 2;
+  for (int i = 0; i < 4; ++i) {
+    out[idx + i] = bits.bytes[0][i];
+  }
+  if (!drop_last) {
+    idx = (drop_last ? 0 : size_t(index_y) + grid_dims.y) << 2;
+    if ((index_y + 1) == half_size && (bytes_per_key % 4) > 0) {
+      int edge_bytes = (bytes_per_key % 4);
+      for (int i = 0; i < edge_bytes; ++i) {
+        out[idx + i] = bits.bytes[1][i];
+      }
+    } else {
+      for (int i = 0; i < 4; ++i) {
+        out[idx + i] = bits.bytes[1][i];
+      }
+    }
+  }
+}
+
+__global__ void rbits(
+    const uint32_t* keys,
+    uint8_t* out,
+    dim3 grid_dims,
+    bool odd,
+    uint32_t bytes_per_key,
+    int32_t ndim,
+    const __grid_constant__ Shape key_shape,
+    const __grid_constant__ Strides key_strides) {
+  auto grid = cg::this_grid();
+  uint thread_index = grid.thread_rank();
+  uint index_x = thread_index % grid_dims.x;
+  uint index_y = thread_index / grid_dims.x;
+  if (index_x >= grid_dims.x || index_y >= grid_dims.y) {
+    return;
+  }
+
+  auto kidx = 2 * index_x;
+  auto k1_elem = elem_to_loc(kidx, key_shape.data(), key_strides.data(), ndim);
+  auto k2_elem =
+      elem_to_loc(kidx + 1, key_shape.data(), key_strides.data(), ndim);
+  auto key = uint2{keys[k1_elem], keys[k2_elem]};
+  auto half_size = grid_dims.y - odd;
+  out += size_t(index_x) * bytes_per_key;
+  bool drop_last = odd && (index_y == half_size);
+  auto bits = threefry2x32_hash(
+      key, uint2{index_y, drop_last ? 0 : index_y + grid_dims.y});
+  size_t idx = size_t(index_y) << 2;
+  for (int i = 0; i < 4; ++i) {
+    out[idx + i] = bits.bytes[0][i];
+  }
+  if (!drop_last) {
+    idx = (drop_last ? 0 : size_t(index_y) + grid_dims.y) << 2;
+    if ((index_y + 1) == half_size && (bytes_per_key % 4) > 0) {
+      int edge_bytes = (bytes_per_key % 4);
+      for (int i = 0; i < edge_bytes; ++i) {
+        out[idx + i] = bits.bytes[1][i];
+      }
+    } else {
+      for (int i = 0; i < 4; ++i) {
+        out[idx + i] = bits.bytes[1][i];
+      }
+    }
+  }
+}
+
+} // namespace cu
+
+void RandomBits::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("RandomBits::eval_gpu");
+  assert(inputs.size() == 1);
+
+  // keys has shape (N1, ..., NK, 2)
+  // out has shape (N1, ..., NK, M1, M2, ...)
+  auto& keys = inputs[0];
+  uint32_t num_keys = keys.size() / 2;
+
+  uint32_t elems_per_key = out.size() / num_keys;
+  uint32_t bytes_per_key = out.itemsize() * elems_per_key;
+  out.set_data(allocator::malloc(out.nbytes()));
+  if (out.size() == 0) {
+    return;
+  }
+
+  uint32_t out_per_key = (bytes_per_key + 4 - 1) / 4;
+  uint32_t half_size = out_per_key / 2;
+  bool odd = out_per_key % 2;
+
+  auto& s = stream();
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(keys);
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    dim3 grid_dims{num_keys, half_size + odd};
+    int64_t total = grid_dims.x * grid_dims.y;
+    int32_t threads_y = 1;
+    while ((total / threads_y) >= (1U << 31)) {
+      threads_y *= 2;
+    }
+    int32_t threads_x = cuda::ceil_div(total, threads_y);
+    auto [grid, block] = get_grid_and_block(threads_x, threads_y, 1);
+    if (keys.flags().row_contiguous) {
+      cu::rbitsc<<<grid, block, 0, stream>>>(
+          keys.data<uint32_t>(),
+          out.data<uint8_t>(),
+          grid_dims,
+          odd,
+          bytes_per_key);
+    } else {
+      cu::rbits<<<grid, block, 0, stream>>>(
+          keys.data<uint32_t>(),
+          out.data<uint8_t>(),
+          grid_dims,
+          odd,
+          bytes_per_key,
+          keys.ndim(),
+          const_param(keys.shape()),
+          const_param(keys.strides()));
+    }
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/reduce.cu

@@ -0,0 +1,82 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/reduce/reduce.cuh"
+#include "mlx/backend/gpu/copy.h"
+
+#include <nvtx3/nvtx3.hpp>
+#include <thrust/device_ptr.h>
+#include <thrust/fill.h>
+
+#include <cassert>
+
+namespace mlx::core {
+
+void Reduce::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("Reduce::eval_gpu");
+  assert(inputs.size() == 1);
+  array in = inputs[0];
+
+  // Make sure no identity reductions trickle down here.
+  assert(!axes_.empty());
+  assert(out.size() != in.size());
+
+  out.set_data(allocator::malloc(out.nbytes()));
+
+  auto& s = stream();
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(in);
+  encoder.set_output_array(out);
+
+  // Fill out with init value.
+  if (in.size() == 0) {
+    encoder.launch_kernel([&](cudaStream_t stream) {
+      MLX_SWITCH_ALL_TYPES(in.dtype(), CTYPE, {
+        MLX_SWITCH_REDUCE_OPS(reduce_type_, OP, {
+          using InType = cuda_type_t<CTYPE>;
+          using OutType = cu::ReduceResult<OP, InType>::type;
+          thrust::fill_n(
+              cu::thrust_policy(stream),
+              thrust::device_pointer_cast(out.data<OutType>()),
+              out.data_size(),
+              cu::ReduceInit<OP, InType>::value());
+        });
+      });
+    });
+    return;
+  }
+
+  // Reduce.
+  ReductionPlan plan = get_reduction_plan(in, axes_);
+
+  // If it is a general reduce then copy the input to a contiguous array and
+  // recompute the plan.
+  if (plan.type == GeneralReduce) {
+    array in_copy(in.shape(), in.dtype(), nullptr, {});
+    copy_gpu(in, in_copy, CopyType::General, s);
+    encoder.add_temporary(in_copy);
+    in = in_copy;
+    plan = get_reduction_plan(in, axes_);
+  }
+
+  if ((plan.type == ContiguousAllReduce) ||
+      (plan.type == ContiguousReduce && plan.shape.size() == 1)) {
+    segmented_reduce(encoder, in, out, reduce_type_, axes_, plan);
+    return;
+  }
+
+  if (plan.type == ContiguousReduce || plan.type == GeneralContiguousReduce) {
+    row_reduce(encoder, in, out, reduce_type_, axes_, plan);
+    return;
+  }
+
+  if (plan.type == ContiguousStridedReduce ||
+      plan.type == GeneralStridedReduce) {
+    col_reduce(encoder, in, out, reduce_type_, axes_, plan);
+    return;
+  }
+
+  throw std::runtime_error("No plan reached in reduce.");
+}
+
+} // namespace mlx::core

mlx/backend/cuda/reduce/col_reduce.cu

@@ -0,0 +1,278 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/device/cast_op.cuh"
+#include "mlx/backend/cuda/reduce/reduce.cuh"
+
+#include <cooperative_groups.h>
+#include <cooperative_groups/reduce.h>
+#include <cub/block/block_load.cuh>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+struct ColReduceArgs {
+  // The size of the contiguous column reduction.
+  size_t reduction_size;
+  int64_t reduction_stride;
+
+  // Input shape and strides excluding the reduction axes.
+  Shape shape;
+  Strides strides;
+  int ndim;
+
+  // Input shape and strides of the reduction axes (including last dimension).
+  Shape reduce_shape;
+  Strides reduce_strides;
+  int reduce_ndim;
+
+  // The number of column we are reducing. Namely prod(reduce_shape).
+  size_t non_col_reductions;
+
+  ColReduceArgs(
+      const array& in,
+      const ReductionPlan& plan,
+      const std::vector<int>& axes) {
+    assert(!plan.shape.empty());
+    reduction_size = plan.shape.back();
+    reduction_stride = plan.strides.back();
+
+    int64_t stride_back = 1;
+    auto [shape_vec, strides_vec] = shapes_without_reduction_axes(in, axes);
+    while (!shape_vec.empty() && stride_back < reduction_stride) {
+      stride_back *= shape_vec.back();
+      shape_vec.pop_back();
+      strides_vec.pop_back();
+    }
+    std::tie(shape_vec, strides_vec) =
+        collapse_contiguous_dims(shape_vec, strides_vec);
+    shape = const_param(shape_vec);
+    strides = const_param(strides_vec);
+    ndim = shape_vec.size();
+
+    reduce_shape = const_param(plan.shape);
+    reduce_strides = const_param(plan.strides);
+    reduce_ndim = plan.shape.size();
+
+    non_col_reductions = 1;
+    for (int i = 0; i < reduce_ndim - 1; i++) {
+      non_col_reductions *= reduce_shape[i];
+    }
+  }
+};
+
+template <typename T, typename U, typename Op, int NDIM, int N_READS = 4>
+__global__ void col_reduce_small(
+    const T* in,
+    U* out,
+    const __grid_constant__ ColReduceArgs args) {
+  auto grid = cg::this_grid();
+  auto block = cg::this_thread_block();
+
+  int column =
+      grid.block_index().x * block.dim_threads().x + block.thread_index().x;
+  if (column * N_READS >= args.reduction_stride) {
+    return;
+  }
+
+  int out_idx = grid.block_rank() / grid.dim_blocks().x;
+  in += elem_to_loc(out_idx, args.shape.data(), args.strides.data(), args.ndim);
+
+  Op op;
+  U totals[N_READS];
+  for (int i = 0; i < N_READS; i++) {
+    totals[i] = ReduceInit<Op, T>::value();
+  }
+
+  // Read input to local.
+  LoopedElemToLoc<NDIM, (NDIM > 2)> loop(args.reduce_ndim);
+  loop.next(
+      block.thread_index().y,
+      args.reduce_shape.data(),
+      args.reduce_strides.data());
+  for (size_t r = block.thread_index().y;
+       r < args.non_col_reductions * args.reduction_size;
+       r += block.dim_threads().y) {
+    U vals[N_READS];
+    cub::LoadDirectBlocked(
+        column,
+        make_cast_iterator<U>(in + loop.location()),
+        vals,
+        args.reduction_stride,
+        ReduceInit<Op, T>::value());
+    for (int i = 0; i < N_READS; i++) {
+      totals[i] = op(vals[i], totals[i]);
+    }
+    loop.next(
+        block.dim_threads().y,
+        args.reduce_shape.data(),
+        args.reduce_strides.data());
+  }
+
+  // Do block reduce when each column has more than 1 element to reduce.
+  if (block.dim_threads().y > 1) {
+    __shared__ U shared_vals[32 * 8 * N_READS];
+    size_t col =
+        block.thread_index().y * block.dim_threads().x + block.thread_index().x;
+    for (int i = 0; i < N_READS; i++) {
+      shared_vals[col * N_READS + i] = totals[i];
+    }
+    block.sync();
+    if (block.thread_index().y == 0) {
+      for (int i = 0; i < N_READS; i++) {
+        totals[i] = shared_vals[block.thread_index().x * N_READS + i];
+      }
+      for (int j = 1; j < block.dim_threads().y; j++) {
+        col = j * block.dim_threads().x + block.thread_index().x;
+        for (int i = 0; i < N_READS; i++) {
+          totals[i] = op(shared_vals[col * N_READS + i], totals[i]);
+        }
+      }
+    }
+  }
+
+  // Write result.
+  if (block.thread_index().y == 0) {
+    cub::StoreDirectBlocked(
+        column,
+        out + out_idx * args.reduction_stride,
+        totals,
+        args.reduction_stride);
+  }
+}
+
+template <
+    typename T,
+    typename U,
+    typename Op,
+    int NDIM,
+    int BM,
+    int BN,
+    int N_READS = 4>
+__global__ void col_reduce_looped(
+    const T* in,
+    U* out,
+    const __grid_constant__ ColReduceArgs args) {
+  auto grid = cg::this_grid();
+  auto block = cg::this_thread_block();
+  auto warp = cg::tiled_partition<WARP_SIZE>(block);
+
+  constexpr int n_warps = BN / N_READS;
+
+  int out_idx = grid.block_rank() / grid.dim_blocks().x;
+  in += elem_to_loc(out_idx, args.shape.data(), args.strides.data(), args.ndim);
+
+  Op op;
+  U totals[N_READS];
+  for (int i = 0; i < N_READS; i++) {
+    totals[i] = ReduceInit<Op, T>::value();
+  }
+
+  // Read input to local.
+  int r = block.thread_rank() / n_warps;
+  int column = block.thread_rank() % n_warps;
+  int in_offset = grid.block_index().x * BN;
+  LoopedElemToLoc<NDIM, (NDIM > 2)> loop(args.reduce_ndim);
+  loop.next(r, args.reduce_shape.data(), args.reduce_strides.data());
+  for (; r < args.non_col_reductions * args.reduction_size; r += BM) {
+    U vals[N_READS];
+    cub::LoadDirectBlocked(
+        column,
+        make_cast_iterator<U>(in + loop.location() + in_offset),
+        vals,
+        args.reduction_stride - in_offset,
+        ReduceInit<Op, T>::value());
+    for (int i = 0; i < N_READS; i++) {
+      totals[i] = op(vals[i], totals[i]);
+    }
+    loop.next(BM, args.reduce_shape.data(), args.reduce_strides.data());
+  }
+
+  // Do warp reduce for each output.
+  constexpr int n_outputs = BN / n_warps;
+  static_assert(BM == 32 && n_outputs == N_READS);
+  __shared__ U shared_vals[BM * BN];
+  size_t col = block.thread_index().y * BN + block.thread_index().x * N_READS;
+  for (int i = 0; i < N_READS; i++) {
+    shared_vals[col + i] = totals[i];
+  }
+  block.sync();
+  col = warp.thread_rank() * BN + warp.meta_group_rank() * n_outputs;
+  for (int i = 0; i < n_outputs; i++) {
+    totals[i] = cg::reduce(warp, shared_vals[col + i], op);
+  }
+
+  // Write result.
+  if (warp.thread_rank() == 0) {
+    size_t out_offset = grid.block_index().x * BN;
+    cub::StoreDirectBlocked(
+        warp.meta_group_rank(),
+        out + out_idx * args.reduction_stride + out_offset,
+        totals,
+        args.reduction_stride - out_offset);
+  }
+}
+
+} // namespace cu
+
+inline auto output_grid_for_col_reduce(
+    const array& out,
+    const cu::ColReduceArgs& args) {
+  auto out_shape = out.shape();
+  auto out_strides = out.strides();
+  while (!out_shape.empty() && out_strides.back() < args.reduction_stride) {
+    out_shape.pop_back();
+    out_strides.pop_back();
+  }
+  return get_2d_grid_dims(out_shape, out_strides);
+}
+
+void col_reduce(
+    cu::CommandEncoder& encoder,
+    const array& in,
+    array& out,
+    Reduce::ReduceType reduce_type,
+    const std::vector<int>& axes,
+    const ReductionPlan& plan) {
+  cu::ColReduceArgs args(in, plan, axes);
+
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_ALL_TYPES(in.dtype(), CTYPE, {
+      using InType = cuda_type_t<CTYPE>;
+      MLX_SWITCH_REDUCE_OPS(reduce_type, OP, {
+        using OutType = cu::ReduceResult<OP, InType>::type;
+        MLX_SWITCH_REDUCE_NDIM(args.reduce_ndim, NDIM, {
+          constexpr int N_READS = 4;
+          dim3 block_dims;
+          dim3 num_blocks = output_grid_for_col_reduce(out, args);
+          num_blocks.z = num_blocks.y;
+          num_blocks.y = num_blocks.x;
+          auto kernel =
+              cu::col_reduce_small<InType, OutType, OP, NDIM, N_READS>;
+          size_t total = args.non_col_reductions * args.reduction_size;
+          if (total < 32) {
+            size_t stride_blocks =
+                cuda::ceil_div(args.reduction_stride, N_READS);
+            block_dims.x = std::min(stride_blocks, 32ul);
+            block_dims.y = std::min(total, 8ul);
+            num_blocks.x = cuda::ceil_div(stride_blocks, block_dims.x);
+          } else {
+            constexpr int BM = 32;
+            constexpr int BN = 32;
+            block_dims.x = BM * BN / N_READS;
+            num_blocks.x = cuda::ceil_div(args.reduction_stride, BN);
+            kernel = cu::
+                col_reduce_looped<InType, OutType, OP, NDIM, BM, BN, N_READS>;
+          }
+          kernel<<<num_blocks, block_dims, 0, stream>>>(
+              in.data<InType>(), out.data<OutType>(), args);
+        });
+      });
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/reduce/reduce.cuh

@@ -0,0 +1,74 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/common/reduce.h"
+#include "mlx/backend/cuda/device/cucomplex_math.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/backend/cuda/reduce/reduce_ops.cuh"
+#include "mlx/dtype_utils.h"
+#include "mlx/primitives.h"
+
+namespace mlx::core {
+
+// Dispatch dynamic ndim to constexpr.
+// The behavior follows get_kernel_reduce_ndim in metal/reduce.cpp file.
+#define MLX_SWITCH_REDUCE_NDIM(ndim, NDIM, ...) \
+  if (ndim == 1) {                              \
+    constexpr uint32_t NDIM = 1;                \
+    __VA_ARGS__;                                \
+  } else if (ndim == 2) {                       \
+    constexpr uint32_t NDIM = 2;                \
+    __VA_ARGS__;                                \
+  } else {                                      \
+    constexpr uint32_t NDIM = 5;                \
+    __VA_ARGS__;                                \
+  }
+
+// Dispatch reduce ops to constexpr.
+#define MLX_SWITCH_REDUCE_OPS(REDUCE, OP, ...)           \
+  if (REDUCE == Reduce::ReduceType::And) {               \
+    using OP = cu::And;                                  \
+    __VA_ARGS__;                                         \
+  } else if (REDUCE == Reduce::ReduceType::Or) {         \
+    using OP = cu::Or;                                   \
+    __VA_ARGS__;                                         \
+  } else if (REDUCE == Reduce::ReduceType::Sum) {        \
+    using OP = cu::Sum;                                  \
+    __VA_ARGS__;                                         \
+  } else if (REDUCE == Reduce::ReduceType::Prod) {       \
+    using OP = cu::Prod;                                 \
+    __VA_ARGS__;                                         \
+  } else if (REDUCE == Reduce::ReduceType::Max) {        \
+    using OP = cu::Max;                                  \
+    __VA_ARGS__;                                         \
+  } else if (REDUCE == Reduce::ReduceType::Min) {        \
+    using OP = cu::Min;                                  \
+    __VA_ARGS__;                                         \
+  } else {                                               \
+    throw std::invalid_argument("Unknown reduce type."); \
+  }
+
+void segmented_reduce(
+    cu::CommandEncoder& encoder,
+    const array& in,
+    array& out,
+    Reduce::ReduceType reduce_type,
+    const std::vector<int>& axes,
+    const ReductionPlan& plan);
+
+void row_reduce(
+    cu::CommandEncoder& encoder,
+    const array& in,
+    array& out,
+    Reduce::ReduceType reduce_type,
+    const std::vector<int>& axes,
+    const ReductionPlan& plan);
+
+void col_reduce(
+    cu::CommandEncoder& encoder,
+    const array& in,
+    array& out,
+    Reduce::ReduceType reduce_type,
+    const std::vector<int>& axes,
+    const ReductionPlan& plan);
+
+} // namespace mlx::core

mlx/backend/cuda/reduce/reduce_ops.cuh

@@ -0,0 +1,144 @@
+// Copyright © 2025 Apple Inc.
+
+#pragma once
+
+#include "mlx/backend/cuda/device/utils.cuh"
+
+namespace mlx::core::cu {
+
+// Reduce ops.
+struct And {
+  __device__ bool operator()(bool a, bool b) {
+    return a && b;
+  }
+};
+
+struct Or {
+  __device__ bool operator()(bool a, bool b) {
+    return a || b;
+  }
+};
+
+struct Sum {
+  template <typename T>
+  __device__ T operator()(T a, T b) {
+    return a + b;
+  }
+};
+
+struct Prod {
+  template <typename T>
+  __device__ T operator()(T a, T b) {
+    return a * b;
+  }
+};
+
+struct Min {
+  template <typename T>
+  __device__ T operator()(T a, T b) {
+    return a < b ? a : b;
+  }
+};
+
+struct Max {
+  template <typename T>
+  __device__ T operator()(T a, T b) {
+    return a > b ? a : b;
+  }
+};
+
+// Traits to get the result type of reduce op.
+template <typename Op, typename T>
+struct ReduceResult;
+
+template <typename T>
+struct ReduceResult<And, T> {
+  using type = bool;
+};
+
+template <typename T>
+struct ReduceResult<Or, T> {
+  using type = bool;
+};
+
+template <typename T>
+struct ReduceResult<Sum, T> {
+  using type = cuda::std::conditional_t<
+      (cuda::std::is_integral_v<T> && sizeof(T) <= 4),
+      int32_t,
+      T>;
+};
+
+template <typename T>
+struct ReduceResult<Prod, T> {
+  using type = cuda::std::conditional_t<
+      (cuda::std::is_integral_v<T> && sizeof(T) <= 4),
+      int32_t,
+      T>;
+};
+
+template <typename T>
+struct ReduceResult<Min, T> {
+  using type = T;
+};
+
+template <typename T>
+struct ReduceResult<Max, T> {
+  using type = T;
+};
+
+// Traits to get the init value of reduce op.
+template <typename Op, typename T>
+struct ReduceInit;
+
+template <typename T>
+struct ReduceInit<And, T> {
+  static constexpr __host__ __device__ bool value() {
+    return true;
+  }
+};
+
+template <typename T>
+struct ReduceInit<Or, T> {
+  static constexpr __host__ __device__ bool value() {
+    return false;
+  }
+};
+
+template <typename T>
+struct ReduceInit<Sum, T> {
+  static constexpr __host__ __device__ auto value() {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      return T{0, 0};
+    } else {
+      return typename ReduceResult<Sum, T>::type{0};
+    }
+  }
+};
+
+template <typename T>
+struct ReduceInit<Prod, T> {
+  static constexpr __host__ __device__ auto value() {
+    if constexpr (cuda::std::is_same_v<T, cuComplex>) {
+      return T{1, 1};
+    } else {
+      return typename ReduceResult<Prod, T>::type{1};
+    }
+  }
+};
+
+template <typename T>
+struct ReduceInit<Min, T> {
+  static constexpr __host__ __device__ T value() {
+    return Limits<T>::max();
+  }
+};
+
+template <typename T>
+struct ReduceInit<Max, T> {
+  static constexpr __host__ __device__ T value() {
+    return Limits<T>::min();
+  }
+};
+
+} // namespace mlx::core::cu

mlx/backend/cuda/reduce/row_reduce.cu

@@ -0,0 +1,250 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/device/cast_op.cuh"
+#include "mlx/backend/cuda/reduce/reduce.cuh"
+
+#include <cooperative_groups.h>
+#include <cooperative_groups/reduce.h>
+#include <cub/block/block_load.cuh>
+#include <cub/block/block_reduce.cuh>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+struct RowReduceArgs {
+  // The size of the row being reduced, i.e. the size of last dimension.
+  int row_size;
+
+  // Input shape and strides excluding the reduction axes.
+  Shape shape;
+  Strides strides;
+  int ndim;
+
+  // Input shape and strides of the reduction axes excluding last dimension.
+  Shape reduce_shape;
+  Strides reduce_strides;
+  int reduce_ndim;
+
+  // The number of rows we are reducing. Namely prod(reduce_shape).
+  size_t non_row_reductions;
+
+  RowReduceArgs(
+      const array& in,
+      const ReductionPlan& plan,
+      const std::vector<int>& axes) {
+    assert(!plan.shape.empty());
+    row_size = plan.shape.back();
+
+    auto [shape_vec, strides_vec] = shapes_without_reduction_axes(in, axes);
+    std::tie(shape_vec, strides_vec) =
+        collapse_contiguous_dims(shape_vec, strides_vec);
+    shape = const_param(shape_vec);
+    strides = const_param(strides_vec);
+    ndim = shape_vec.size();
+
+    reduce_shape = const_param(plan.shape);
+    reduce_strides = const_param(plan.strides);
+    reduce_ndim = plan.shape.size() - 1;
+
+    non_row_reductions = 1;
+    for (int i = 0; i < reduce_ndim; i++) {
+      non_row_reductions *= reduce_shape[i];
+    }
+  }
+};
+
+template <typename T, typename U, typename Op, int NDIM, int N_READS = 4>
+__global__ void row_reduce_small(
+    const T* in,
+    U* out,
+    size_t out_size,
+    const __grid_constant__ RowReduceArgs args) {
+  size_t out_idx = cg::this_grid().thread_rank();
+  if (out_idx >= out_size) {
+    return;
+  }
+
+  Op op;
+
+  U total_val = ReduceInit<Op, T>::value();
+  LoopedElemToLoc<NDIM, (NDIM > 2)> loop(args.reduce_ndim);
+
+  in += elem_to_loc(out_idx, args.shape.data(), args.strides.data(), args.ndim);
+
+  for (size_t n = 0; n < args.non_row_reductions; n++) {
+    for (int r = 0; r < cuda::ceil_div(args.row_size, N_READS); r++) {
+      U vals[N_READS];
+      cub::LoadDirectBlocked(
+          r,
+          make_cast_iterator<U>(in + loop.location()),
+          vals,
+          args.row_size,
+          ReduceInit<Op, T>::value());
+      total_val = op(total_val, cub::ThreadReduce(vals, op));
+    }
+    loop.next(args.reduce_shape.data(), args.reduce_strides.data());
+  }
+
+  out[out_idx] = total_val;
+}
+
+template <typename T, typename U, typename Op, int NDIM, int N_READS = 4>
+__global__ void row_reduce_small_warp(
+    const T* in,
+    U* out,
+    size_t out_size,
+    const __grid_constant__ RowReduceArgs args) {
+  auto grid = cg::this_grid();
+  auto block = cg::this_thread_block();
+  auto warp = cg::tiled_partition<WARP_SIZE>(block);
+
+  size_t out_idx = grid.thread_rank() / WARP_SIZE;
+  if (out_idx >= out_size) {
+    return;
+  }
+
+  Op op;
+
+  U total_val = ReduceInit<Op, T>::value();
+  LoopedElemToLoc<NDIM, (NDIM > 2)> loop(args.reduce_ndim);
+
+  in += elem_to_loc(out_idx, args.shape.data(), args.strides.data(), args.ndim);
+
+  for (size_t n = warp.thread_rank(); n < args.non_row_reductions;
+       n += WARP_SIZE) {
+    for (int r = 0; r < cuda::ceil_div(args.row_size, N_READS); r++) {
+      U vals[N_READS];
+      cub::LoadDirectBlocked(
+          r,
+          make_cast_iterator<U>(in + loop.location()),
+          vals,
+          args.row_size,
+          ReduceInit<Op, T>::value());
+      total_val = op(total_val, cub::ThreadReduce(vals, op));
+    }
+    loop.next(WARP_SIZE, args.reduce_shape.data(), args.reduce_strides.data());
+  }
+
+  total_val = cg::reduce(warp, total_val, op);
+
+  if (warp.thread_rank() == 0) {
+    out[out_idx] = total_val;
+  }
+}
+
+template <
+    typename T,
+    typename U,
+    typename Op,
+    int NDIM,
+    int BLOCK_DIM_X,
+    int N_READS = 4>
+__global__ void row_reduce_looped(
+    const T* in,
+    U* out,
+    size_t out_size,
+    const __grid_constant__ RowReduceArgs args) {
+  auto grid = cg::this_grid();
+  auto block = cg::this_thread_block();
+
+  size_t out_idx = grid.thread_rank() / BLOCK_DIM_X;
+  if (out_idx >= out_size) {
+    return;
+  }
+
+  Op op;
+
+  U total_val = ReduceInit<Op, T>::value();
+  LoopedElemToLoc<NDIM, (NDIM > 2)> loop(args.reduce_ndim);
+
+  in += elem_to_loc(out_idx, args.shape.data(), args.strides.data(), args.ndim);
+
+  for (size_t n = 0; n < args.non_row_reductions; n++) {
+    for (size_t r = 0; r < cuda::ceil_div(args.row_size, BLOCK_DIM_X * N_READS);
+         r++) {
+      U vals[N_READS];
+      cub::LoadDirectBlocked(
+          r * BLOCK_DIM_X + block.thread_index().x,
+          make_cast_iterator<U>(in + loop.location()),
+          vals,
+          args.row_size,
+          ReduceInit<Op, T>::value());
+      total_val = op(total_val, cub::ThreadReduce(vals, op));
+    }
+    loop.next(args.reduce_shape.data(), args.reduce_strides.data());
+  }
+
+  typedef cub::BlockReduce<U, BLOCK_DIM_X> BlockReduceT;
+  __shared__ typename BlockReduceT::TempStorage temp;
+
+  total_val = BlockReduceT(temp).Reduce(total_val, op);
+
+  if (block.thread_rank() == 0) {
+    out[out_idx] = total_val;
+  }
+}
+
+} // namespace cu
+
+void row_reduce(
+    cu::CommandEncoder& encoder,
+    const array& in,
+    array& out,
+    Reduce::ReduceType reduce_type,
+    const std::vector<int>& axes,
+    const ReductionPlan& plan) {
+  cu::RowReduceArgs args(in, plan, axes);
+
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_ALL_TYPES(in.dtype(), CTYPE, {
+      using InType = cuda_type_t<CTYPE>;
+      MLX_SWITCH_REDUCE_OPS(reduce_type, OP, {
+        using OutType = cu::ReduceResult<OP, InType>::type;
+        MLX_SWITCH_REDUCE_NDIM(args.reduce_ndim, NDIM, {
+          constexpr size_t N_READS = 4;
+          dim3 out_dims = get_2d_grid_dims(out.shape(), out.strides());
+          dim3 block_dims, num_blocks;
+          auto kernel =
+              cu::row_reduce_small<InType, OutType, OP, NDIM, N_READS>;
+          if (args.row_size <= 64) {
+            if ((args.non_row_reductions < 32 && args.row_size <= 8) ||
+                (args.non_row_reductions <= 8)) {
+              block_dims.x = std::min(out_dims.x, 1024u);
+              num_blocks.x = cuda::ceil_div(out_dims.x, block_dims.x);
+              num_blocks.y = out_dims.y;
+            } else {
+              block_dims.x = WARP_SIZE;
+              num_blocks.y = out_dims.x;
+              num_blocks.z = out_dims.y;
+              kernel =
+                  cu::row_reduce_small_warp<InType, OutType, OP, NDIM, N_READS>;
+            }
+          } else {
+            size_t num_threads = cuda::ceil_div(args.row_size, N_READS);
+            num_threads = cuda::ceil_div(num_threads, WARP_SIZE) * WARP_SIZE;
+            MLX_SWITCH_BLOCK_DIM(num_threads, BLOCK_DIM_X, {
+              num_blocks.y = out_dims.x;
+              num_blocks.z = out_dims.y;
+              block_dims.x = BLOCK_DIM_X;
+              kernel = cu::row_reduce_looped<
+                  InType,
+                  OutType,
+                  OP,
+                  NDIM,
+                  BLOCK_DIM_X,
+                  N_READS>;
+            });
+          }
+          kernel<<<num_blocks, block_dims, 0, stream>>>(
+              in.data<InType>(), out.data<OutType>(), out.size(), args);
+        });
+      });
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/reduce/segmented_reduce.cu

@@ -0,0 +1,84 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/device/cast_op.cuh"
+#include "mlx/backend/cuda/reduce/reduce.cuh"
+
+#include <thrust/device_ptr.h>
+#include <cub/device/device_reduce.cuh>
+#include <cub/device/device_segmented_reduce.cuh>
+
+namespace mlx::core {
+
+template <typename... Args>
+void cub_all_reduce(cu::CommandEncoder& encoder, Args&&... args) {
+  // Allocate temporary storage.
+  size_t size;
+  CHECK_CUDA_ERROR(cub::DeviceReduce::Reduce(nullptr, size, args...));
+  array temp(allocator::malloc(size), {static_cast<int>(size)}, uint8);
+  encoder.add_temporary(temp);
+  // Run op.
+  CHECK_CUDA_ERROR(cub::DeviceReduce::Reduce(temp.data<void>(), size, args...));
+}
+
+template <typename... Args>
+void cub_segmented_reduce(cu::CommandEncoder& encoder, Args&&... args) {
+  // Allocate temporary storage.
+  size_t size;
+  CHECK_CUDA_ERROR(cub::DeviceSegmentedReduce::Reduce(nullptr, size, args...));
+  array temp(allocator::malloc(size), {static_cast<int>(size)}, uint8);
+  encoder.add_temporary(temp);
+  // Run op.
+  CHECK_CUDA_ERROR(
+      cub::DeviceSegmentedReduce::Reduce(temp.data<void>(), size, args...));
+}
+
+struct MultiplyOp {
+  int factor;
+  __device__ int operator()(int i) {
+    return i * factor;
+  }
+};
+
+void segmented_reduce(
+    cu::CommandEncoder& encoder,
+    const array& in,
+    array& out,
+    Reduce::ReduceType reduce_type,
+    const std::vector<int>& axes,
+    const ReductionPlan& plan) {
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_ALL_TYPES(in.dtype(), CTYPE, {
+      MLX_SWITCH_REDUCE_OPS(reduce_type, OP, {
+        using InType = cuda_type_t<CTYPE>;
+        using OutType = cu::ReduceResult<OP, InType>::type;
+        auto in_iter = cu::make_cast_iterator<OutType>(
+            thrust::device_pointer_cast(in.data<InType>()));
+        auto out_ptr = thrust::device_pointer_cast(out.data<OutType>());
+        auto init = cu::ReduceInit<OP, InType>::value();
+
+        if (plan.type == ContiguousAllReduce) {
+          cub_all_reduce(
+              encoder, in_iter, out_ptr, in.data_size(), OP(), init, stream);
+        } else if (plan.type == ContiguousReduce) {
+          auto offsets = thrust::make_transform_iterator(
+              thrust::make_counting_iterator(0), MultiplyOp{plan.shape.back()});
+          cub_segmented_reduce(
+              encoder,
+              in_iter,
+              out_ptr,
+              out.size(),
+              offsets,
+              offsets + 1,
+              OP(),
+              init,
+              stream);
+        } else {
+          throw std::runtime_error("Unsupported plan in segmented_reduce.");
+        }
+      });
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/rms_norm.cu

@@ -0,0 +1,343 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/iterators/strided_iterator.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/backend/cuda/reduce/reduce.cuh"
+#include "mlx/backend/gpu/copy.h"
+#include "mlx/dtype_utils.h"
+#include "mlx/fast_primitives.h"
+
+#include <cooperative_groups.h>
+#include <cooperative_groups/reduce.h>
+#include <nvtx3/nvtx3.hpp>
+#include <cub/block/block_load.cuh>
+#include <cub/block/block_reduce.cuh>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+inline __device__ float2 plus_f2(const float2& a, const float2& b) {
+  return {a.x + b.x, a.y + b.y};
+}
+
+// Similar to cub::BlockReduce, but result is broadcasted to every thread.
+template <typename T, int BLOCK_DIM>
+struct BlockBroadcastReduce {
+  static_assert(WARP_SIZE <= BLOCK_DIM && BLOCK_DIM <= WARP_SIZE * WARP_SIZE);
+  static_assert(BLOCK_DIM % WARP_SIZE == 0);
+  using TempStorage = T[BLOCK_DIM / WARP_SIZE];
+
+  cg::thread_block& block;
+  TempStorage& temp;
+
+  template <typename Op>
+  __device__ T Reduce(const T& input, const Op& op, const T& init_value) {
+    auto warp = cg::tiled_partition<WARP_SIZE>(block);
+    T x = cg::reduce(warp, input, op);
+    if (warp.thread_rank() == 0) {
+      temp[warp.meta_group_rank()] = x;
+    }
+    block.sync();
+    x = warp.thread_rank() < warp.meta_group_size() ? temp[warp.thread_rank()]
+                                                    : init_value;
+    return cg::reduce(warp, x, op);
+  }
+
+  __device__ T Sum(const T& input) {
+    return Reduce(input, cg::plus<T>{}, T{});
+  }
+};
+
+template <typename T, int BLOCK_DIM, int N_READS = 4>
+__global__ void rms_norm(
+    const T* x,
+    const T* w,
+    T* out,
+    float eps,
+    int32_t axis_size,
+    int64_t w_stride) {
+  auto grid = cg::this_grid();
+  auto block = cg::this_thread_block();
+
+  using BlockReduceT = BlockBroadcastReduce<float, BLOCK_DIM>;
+  __shared__ typename BlockReduceT::TempStorage temp;
+
+  x += grid.block_rank() * axis_size;
+  out += grid.block_rank() * axis_size;
+
+  // Normalizer.
+  float normalizer = 0;
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    T xn[N_READS];
+    cub::LoadDirectBlocked(index, x, xn, axis_size, 0);
+    for (int i = 0; i < N_READS; ++i) {
+      float t = static_cast<float>(xn[i]);
+      normalizer += t * t;
+    }
+  }
+  normalizer = BlockReduceT{block, temp}.Sum(normalizer);
+  normalizer = rsqrt(normalizer / axis_size + eps);
+
+  // Outputs.
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    T xn[N_READS];
+    T wn[N_READS];
+    cub::LoadDirectBlocked(index, x, xn, axis_size);
+    cub::LoadDirectBlocked(index, strided_iterator(w, w_stride), wn, axis_size);
+    for (int i = 0; i < N_READS; ++i) {
+      float norm = static_cast<float>(xn[i]) * normalizer;
+      xn[i] = wn[i] * static_cast<T>(norm);
+    }
+    cub::StoreDirectBlocked(index, out, xn, axis_size);
+  }
+}
+
+template <typename T, bool HAS_W, int BLOCK_DIM, int N_READS = 4>
+__global__ void rms_norm_vjp(
+    const T* x,
+    const T* w,
+    const T* g,
+    T* gx,
+    T* gw,
+    float eps,
+    int32_t axis_size,
+    int64_t w_stride) {
+  auto grid = cg::this_grid();
+  auto block = cg::this_thread_block();
+
+  using BlockReduceF = BlockBroadcastReduce<float, BLOCK_DIM>;
+  using BlockReduceF2 = BlockBroadcastReduce<float2, BLOCK_DIM>;
+  __shared__ union {
+    typename BlockReduceF::TempStorage f;
+    typename BlockReduceF2::TempStorage f2;
+  } temp;
+
+  x += grid.block_rank() * axis_size;
+  g += grid.block_rank() * axis_size;
+  gx += grid.block_rank() * axis_size;
+  gw += grid.block_rank() * axis_size;
+
+  // Normalizer.
+  float2 factors = {};
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    T xn[N_READS];
+    T wn[N_READS] = {};
+    T gn[N_READS] = {};
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    cub::LoadDirectBlocked(index, x, xn, axis_size, 0);
+    cub::LoadDirectBlocked(index, g, gn, axis_size);
+    cub::LoadDirectBlocked(index, strided_iterator(w, w_stride), wn, axis_size);
+    for (int i = 0; i < N_READS; i++) {
+      float t = static_cast<float>(xn[i]);
+      float wi = wn[i];
+      float gi = gn[i];
+      float wg = wi * gi;
+      factors = plus_f2(factors, {wg * t, t * t});
+    }
+  }
+  factors = BlockReduceF2{block, temp.f2}.Reduce(factors, plus_f2, {});
+  float meangwx = factors.x / axis_size;
+  float normalizer = rsqrt(factors.y / axis_size + eps);
+  float normalizer3 = normalizer * normalizer * normalizer;
+
+  // Outputs.
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); ++r) {
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    T xn[N_READS];
+    T wn[N_READS];
+    T gn[N_READS];
+    cub::LoadDirectBlocked(index, x, xn, axis_size);
+    cub::LoadDirectBlocked(index, g, gn, axis_size);
+    cub::LoadDirectBlocked(index, strided_iterator(w, w_stride), wn, axis_size);
+    for (int i = 0; i < N_READS; i++) {
+      float xi = xn[i];
+      float wi = wn[i];
+      float gi = gn[i];
+      xn[i] = static_cast<T>(normalizer * wi * gi - xi * meangwx * normalizer3);
+      if constexpr (HAS_W) {
+        wn[i] = static_cast<T>(gi * xi * normalizer);
+      }
+    }
+    cub::StoreDirectBlocked(index, gx, xn, axis_size);
+    if constexpr (HAS_W) {
+      cub::StoreDirectBlocked(index, gw, wn, axis_size);
+    }
+  }
+}
+
+} // namespace cu
+
+namespace fast {
+
+bool RMSNorm::use_fallback(Stream s) {
+  return s.device == Device::cpu;
+}
+
+// TODO: There are duplicate code with backend/metal/normalization.cpp
+void RMSNorm::eval_gpu(
+    const std::vector<array>& inputs,
+    std::vector<array>& outputs) {
+  nvtx3::scoped_range r("RMSNorm::eval_gpu");
+  auto& s = stream();
+  auto& out = outputs[0];
+
+  // Make sure that the last dimension is contiguous.
+  auto set_output = [&s, &out](const array& x) {
+    bool no_copy = x.flags().contiguous && x.strides()[x.ndim() - 1] == 1;
+    if (no_copy && x.ndim() > 1) {
+      auto s = x.strides()[x.ndim() - 2];
+      no_copy &= (s == 0 || s == x.shape().back());
+    }
+    if (no_copy) {
+      if (x.is_donatable()) {
+        out.copy_shared_buffer(x);
+      } else {
+        out.set_data(
+            allocator::malloc(x.data_size() * x.itemsize()),
+            x.data_size(),
+            x.strides(),
+            x.flags());
+      }
+      return x;
+    } else {
+      auto x_copy = array(x.shape(), x.dtype(), nullptr, {});
+      copy_gpu(x, x_copy, CopyType::General, s);
+      out.copy_shared_buffer(x_copy);
+      return x_copy;
+    }
+  };
+
+  const array x = set_output(inputs[0]);
+  const array& w = inputs[1];
+
+  int32_t axis_size = x.shape().back();
+  int32_t n_rows = x.data_size() / axis_size;
+  int64_t w_stride = (w.ndim() == 1) ? w.strides()[0] : 0;
+
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(x);
+  encoder.set_input_array(w);
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_FLOAT_TYPES_CHECKED(out.dtype(), "rms_norm", CTYPE, {
+      using DataType = cuda_type_t<CTYPE>;
+      constexpr uint32_t N_READS = 4;
+      MLX_SWITCH_BLOCK_DIM(cuda::ceil_div(axis_size, N_READS), BLOCK_DIM, {
+        auto kernel = cu::rms_norm<DataType, BLOCK_DIM, N_READS>;
+        kernel<<<n_rows, BLOCK_DIM, 0, stream>>>(
+            x.data<DataType>(),
+            w.data<DataType>(),
+            out.data<DataType>(),
+            eps_,
+            axis_size,
+            w_stride);
+      });
+    });
+  });
+}
+
+void RMSNormVJP::eval_gpu(
+    const std::vector<array>& inputs,
+    std::vector<array>& outputs) {
+  nvtx3::scoped_range r("RMSNormVJP::eval_gpu");
+  auto& s = stream();
+  auto& encoder = cu::get_command_encoder(s);
+
+  // Ensure row contiguity. We could relax this step by checking that the array
+  // is contiguous (no broadcasts or holes) and that the input strides are the
+  // same as the cotangent strides but for now this is simpler.
+  auto check_input = [&s](const array& x) -> std::pair<array, bool> {
+    if (x.flags().row_contiguous) {
+      return {x, false};
+    }
+    array x_copy(x.shape(), x.dtype(), nullptr, {});
+    copy_gpu(x, x_copy, CopyType::General, s);
+    return {x_copy, true};
+  };
+  bool donate_x = inputs[0].is_donatable();
+  bool donate_g = inputs[2].is_donatable();
+  auto [x, copied] = check_input(inputs[0]);
+  donate_x |= copied;
+  const array& w = inputs[1];
+  auto [g, g_copied] = check_input(inputs[2]);
+  donate_g |= g_copied;
+  array& gx = outputs[0];
+  array& gw = outputs[1];
+
+  // Check whether we had a weight.
+  bool has_w = w.ndim() != 0;
+
+  // Allocate space for the outputs.
+  bool g_in_gx = false;
+  if (donate_x) {
+    gx.copy_shared_buffer(x);
+  } else if (donate_g) {
+    gx.copy_shared_buffer(g);
+    g_in_gx = true;
+  } else {
+    gx.set_data(allocator::malloc(gx.nbytes()));
+  }
+  if (g_copied && !g_in_gx) {
+    encoder.add_temporary(g);
+  }
+
+  int32_t axis_size = x.shape().back();
+  int32_t n_rows = x.data_size() / axis_size;
+  int64_t w_stride = (w.ndim() == 1) ? w.strides()[0] : 0;
+
+  // Allocate a temporary to store the gradients for w and allocate the output
+  // gradient accumulators.
+  array gw_temp =
+      (has_w) ? array({n_rows, x.shape().back()}, gw.dtype(), nullptr, {}) : w;
+  if (has_w) {
+    if (!g_in_gx && donate_g) {
+      gw_temp.copy_shared_buffer(g);
+    } else {
+      gw_temp.set_data(allocator::malloc(gw_temp.nbytes()));
+      encoder.add_temporary(gw_temp);
+    }
+  }
+  gw.set_data(allocator::malloc(gw.nbytes()));
+
+  encoder.set_input_array(x);
+  encoder.set_input_array(w);
+  encoder.set_input_array(g);
+  encoder.set_output_array(gx);
+  encoder.set_output_array(gw_temp);
+  encoder.launch_kernel([&, x = x, g = g](cudaStream_t stream) {
+    MLX_SWITCH_FLOAT_TYPES_CHECKED(gx.dtype(), "rms_norm_vjp", CTYPE, {
+      using DataType = cuda_type_t<CTYPE>;
+      constexpr int N_READS = 4;
+      MLX_SWITCH_BOOL(has_w, HAS_W, {
+        MLX_SWITCH_BLOCK_DIM(cuda::ceil_div(axis_size, N_READS), BLOCK_DIM, {
+          auto kernel = cu::rms_norm_vjp<DataType, HAS_W, BLOCK_DIM, N_READS>;
+          kernel<<<n_rows, BLOCK_DIM, 0, stream>>>(
+              x.data<DataType>(),
+              w.data<DataType>(),
+              g.data<DataType>(),
+              gx.data<DataType>(),
+              gw_temp.data<DataType>(),
+              eps_,
+              axis_size,
+              w_stride);
+        });
+      });
+    });
+  });
+
+  if (has_w) {
+    ReductionPlan plan(
+        ReductionOpType::ContiguousStridedReduce, {n_rows}, {axis_size});
+    col_reduce(encoder, gw_temp, gw, Reduce::ReduceType::Sum, {0}, plan);
+  }
+}
+
+} // namespace fast
+
+} // namespace mlx::core

mlx/backend/cuda/rope.cu

@@ -0,0 +1,385 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/backend/gpu/copy.h"
+#include "mlx/dtype_utils.h"
+#include "mlx/fast_primitives.h"
+
+#include <nvtx3/nvtx3.hpp>
+
+namespace mlx::core {
+
+namespace cu {
+
+template <typename T, bool traditional, bool forward>
+__device__ void rope_single_impl(
+    const T* in,
+    T* out,
+    int32_t offset,
+    float inv_freq,
+    float scale,
+    int64_t stride,
+    uint2 pos,
+    uint2 dims) {
+  float L = scale * static_cast<float>(offset);
+
+  // Compute costheta, sintheta
+  float theta = L * inv_freq;
+  float costheta = cos(theta);
+  float sintheta = sin(theta);
+
+  // Compute the input and output indices
+  uint index_1, index_2;
+  if (traditional) {
+    index_1 = 2 * pos.x + pos.y * stride;
+    index_2 = index_1 + 1;
+  } else {
+    index_1 = pos.x + pos.y * stride;
+    index_2 = index_1 + dims.x;
+  }
+
+  // Read and write the output
+  float x1 = static_cast<float>(in[index_1]);
+  float x2 = static_cast<float>(in[index_2]);
+  float rx1;
+  float rx2;
+  if (forward) {
+    rx1 = x1 * costheta - x2 * sintheta;
+    rx2 = x1 * sintheta + x2 * costheta;
+  } else {
+    rx1 = x2 * sintheta + x1 * costheta;
+    rx2 = x2 * costheta - x1 * sintheta;
+  }
+  out[index_1] = static_cast<T>(rx1);
+  out[index_2] = static_cast<T>(rx2);
+}
+
+template <typename T, bool traditional, bool forward>
+__global__ void rope_single(
+    const T* in,
+    T* out,
+    const int32_t* offset,
+    float scale,
+    float base,
+    int64_t stride,
+    uint2 dims) {
+  uint2 pos = make_uint2(
+      blockIdx.x * blockDim.x + threadIdx.x,
+      blockIdx.y * blockDim.y + threadIdx.y);
+  if (pos.x >= dims.x || pos.y >= dims.y) {
+    return;
+  }
+
+  float d = static_cast<float>(pos.x) / static_cast<float>(dims.x);
+  float inv_freq = exp2(-d * base);
+  rope_single_impl<T, traditional, forward>(
+      in, out, *offset, inv_freq, scale, stride, pos, dims);
+}
+
+template <typename T, bool traditional, bool forward>
+__global__ void rope_single_freqs(
+    const T* in,
+    T* out,
+    const int32_t* offset,
+    const float* freqs,
+    float scale,
+    int64_t stride,
+    uint2 dims,
+    int64_t freq_stride) {
+  uint2 pos = make_uint2(
+      blockIdx.x * blockDim.x + threadIdx.x,
+      blockIdx.y * blockDim.y + threadIdx.y);
+  if (pos.x >= dims.x || pos.y >= dims.y) {
+    return;
+  }
+
+  float inv_freq = 1.0 / freqs[freq_stride * pos.x];
+  rope_single_impl<T, traditional, forward>(
+      in, out, *offset, inv_freq, scale, stride, pos, dims);
+}
+
+template <typename T, bool traditional, bool forward, int N = 4>
+__device__ void rope_impl(
+    const T* in,
+    T* out,
+    int offset,
+    float inv_freq,
+    float scale,
+    const cuda::std::array<int64_t, 3> strides,
+    const cuda::std::array<int64_t, 3> out_strides,
+    int64_t n_batch,
+    uint3 pos,
+    uint3 dims) {
+  float L = scale * static_cast<float>(pos.y + offset);
+
+  // Compute costheta, sintheta
+  float theta = L * inv_freq;
+  float costheta = cos(theta);
+  float sintheta = sin(theta);
+
+  // Compute the input and output indices
+  size_t in_index_1, in_index_2;
+  size_t out_index_1, out_index_2;
+  if (traditional) {
+    out_index_1 = 2 * pos.x * out_strides[2] + pos.y * out_strides[1] +
+        N * pos.z * out_strides[0];
+    out_index_2 = out_index_1 + 1;
+    in_index_1 =
+        2 * pos.x * strides[2] + pos.y * strides[1] + N * pos.z * strides[0];
+    in_index_2 = in_index_1 + strides[2];
+  } else {
+    out_index_1 = pos.x * out_strides[2] + pos.y * out_strides[1] +
+        N * pos.z * out_strides[0];
+    out_index_2 = out_index_1 + dims.x * out_strides[2];
+    in_index_1 =
+        pos.x * strides[2] + pos.y * strides[1] + N * pos.z * strides[0];
+    in_index_2 = in_index_1 + dims.x * strides[2];
+  }
+  for (int i = 0; i < N && pos.z * N + i < n_batch; ++i) {
+    // Read and write the output
+    float x1 = static_cast<float>(in[in_index_1]);
+    float x2 = static_cast<float>(in[in_index_2]);
+    float rx1;
+    float rx2;
+    if (forward) {
+      rx1 = x1 * costheta - x2 * sintheta;
+      rx2 = x1 * sintheta + x2 * costheta;
+    } else {
+      rx1 = x2 * sintheta + x1 * costheta;
+      rx2 = x2 * costheta - x1 * sintheta;
+    }
+    out[out_index_1] = static_cast<T>(rx1);
+    out[out_index_2] = static_cast<T>(rx2);
+    in_index_1 += strides[0];
+    in_index_2 += strides[0];
+    out_index_1 += out_strides[0];
+    out_index_2 += out_strides[0];
+  }
+}
+
+template <typename T, bool traditional, bool forward>
+__global__ void rope(
+    const T* in,
+    T* out,
+    const int32_t* offset,
+    float scale,
+    float base,
+    const __grid_constant__ cuda::std::array<int64_t, 3> strides,
+    const __grid_constant__ cuda::std::array<int64_t, 3> out_strides,
+    int64_t n_batch,
+    uint3 dims) {
+  uint3 pos = make_uint3(
+      blockIdx.x * blockDim.x + threadIdx.x,
+      blockIdx.y * blockDim.y + threadIdx.y,
+      blockIdx.z * blockDim.z + threadIdx.z);
+  if (pos.x >= dims.x || pos.y >= dims.y || pos.z >= dims.z) {
+    return;
+  }
+
+  float d = static_cast<float>(pos.x) / static_cast<float>(dims.x);
+  float inv_freq = exp2(-d * base);
+  rope_impl<T, traditional, forward>(
+      in,
+      out,
+      *offset,
+      inv_freq,
+      scale,
+      strides,
+      out_strides,
+      n_batch,
+      pos,
+      dims);
+}
+
+template <typename T, bool traditional, bool forward>
+__global__ void rope_freqs(
+    const T* in,
+    T* out,
+    const int32_t* offset,
+    const float* freqs,
+    float scale,
+    float base,
+    const __grid_constant__ cuda::std::array<int64_t, 3> strides,
+    const __grid_constant__ cuda::std::array<int64_t, 3> out_strides,
+    int64_t n_batch,
+    uint3 dims,
+    int64_t freq_stride) {
+  uint3 pos = make_uint3(
+      blockIdx.x * blockDim.x + threadIdx.x,
+      blockIdx.y * blockDim.y + threadIdx.y,
+      blockIdx.z * blockDim.z + threadIdx.z);
+  if (pos.x >= dims.x || pos.y >= dims.y || pos.z >= dims.z) {
+    return;
+  }
+
+  float inv_freq = 1.0 / freqs[freq_stride * pos.x];
+  rope_impl<T, traditional, forward>(
+      in,
+      out,
+      *offset,
+      inv_freq,
+      scale,
+      strides,
+      out_strides,
+      n_batch,
+      pos,
+      dims);
+}
+
+} // namespace cu
+
+namespace fast {
+
+bool RoPE::use_fallback(Stream s) {
+  return s.device == Device::cpu;
+}
+
+void RoPE::eval_gpu(
+    const std::vector<array>& inputs,
+    std::vector<array>& outputs) {
+  nvtx3::scoped_range r("RoPE::eval_gpu");
+
+  auto& s = stream();
+  auto& in = inputs[0];
+  auto& offset = inputs[1];
+  auto& out = outputs[0];
+
+  if (in.ndim() < 3) {
+    throw std::runtime_error("[RoPE] Input must have at least 3 dimensions");
+  }
+
+  cuda::std::array<int64_t, 3> strides;
+  cuda::std::array<int64_t, 3> out_strides;
+  bool donated = false;
+  int ndim = in.ndim();
+  int dispatch_ndim = in.ndim();
+  while (in.shape(-dispatch_ndim) == 1 && dispatch_ndim > 3) {
+    dispatch_ndim--;
+  }
+  size_t mat_size = in.shape(-2) * in.shape(-1);
+
+  // We apply rope to less that the whole vector so copy to output and then
+  // apply in-place.
+  if (dims_ < in.shape(-1)) {
+    donated = true;
+    auto ctype =
+        (in.flags().row_contiguous) ? CopyType::Vector : CopyType::General;
+    copy_gpu(in, out, ctype, s);
+    strides[0] = mat_size;
+    strides[1] = out.strides()[ndim - 2];
+    strides[2] = out.strides()[ndim - 1];
+  }
+
+  // Either copy or apply in-place
+  else if (in.flags().row_contiguous) {
+    if (in.is_donatable()) {
+      donated = true;
+      out.copy_shared_buffer(in);
+    } else {
+      out.set_data(allocator::malloc(out.nbytes()));
+    }
+    strides[0] = mat_size;
+    strides[1] = in.strides()[ndim - 2];
+    strides[2] = in.strides()[ndim - 1];
+  } else if (dispatch_ndim == 3) {
+    // Handle non-contiguous 3D inputs
+    out.set_data(allocator::malloc(out.nbytes()));
+    strides[0] = in.strides()[ndim - 3];
+    strides[1] = in.strides()[ndim - 2];
+    strides[2] = in.strides()[ndim - 1];
+  } else {
+    // Copy non-contiguous > 3D inputs into the output and treat
+    // input as donated
+    donated = true;
+    copy_gpu(in, out, CopyType::General, s);
+    strides[0] = mat_size;
+    strides[1] = out.strides()[ndim - 2];
+    strides[2] = out.strides()[ndim - 1];
+  }
+  out_strides[0] = mat_size;
+  out_strides[1] = out.strides()[ndim - 2];
+  out_strides[2] = out.strides()[ndim - 1];
+
+  // Some flags to help us dispatch below
+  bool single = in.flags().row_contiguous && (mat_size == in.shape(-1));
+  bool with_freqs = inputs.size() == 3;
+
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(donated ? out : in);
+  encoder.set_input_array(offset);
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_FLOAT_TYPES_CHECKED(in.dtype(), "rope", CTYPE, {
+      using DataType = cuda_type_t<CTYPE>;
+      MLX_SWITCH_BOOL(traditional_, TRADITIONAL, {
+        MLX_SWITCH_BOOL(forward_, FORWARD, {
+          if (single && !with_freqs) {
+            auto kernel = cu::rope_single<DataType, TRADITIONAL, FORWARD>;
+            uint2 dims = make_uint2(dims_ / 2, in.size() / mat_size);
+            auto [grid, block] = get_grid_and_block(dims.x, dims.y, 1);
+            kernel<<<grid, block, 0, stream>>>(
+                (donated ? out : in).data<DataType>(),
+                out.data<DataType>(),
+                offset.data<int32_t>(),
+                scale_,
+                std::log2(base_),
+                mat_size,
+                dims);
+          } else if (single) {
+            auto kernel = cu::rope_single_freqs<DataType, TRADITIONAL, FORWARD>;
+            uint2 dims = make_uint2(dims_ / 2, in.size() / mat_size);
+            auto [grid, block] = get_grid_and_block(dims.x, dims.y, 1);
+            kernel<<<grid, block, 0, stream>>>(
+                (donated ? out : in).data<DataType>(),
+                out.data<DataType>(),
+                offset.data<int32_t>(),
+                inputs[2].data<float>(),
+                scale_,
+                mat_size,
+                dims,
+                inputs[2].strides(0));
+          } else if (with_freqs) {
+            auto kernel = cu::rope_freqs<DataType, TRADITIONAL, FORWARD>;
+            uint3 dims =
+                make_uint3(dims_ / 2, in.shape(-2), in.size() / mat_size);
+            dims.z = (dims.z + 3) / 4;
+            auto [grid, block] = get_grid_and_block(dims.x, dims.y, dims.z);
+            kernel<<<grid, block, 0, stream>>>(
+                (donated ? out : in).data<DataType>(),
+                out.data<DataType>(),
+                offset.data<int32_t>(),
+                inputs[2].data<float>(),
+                scale_,
+                std::log2(base_),
+                strides,
+                out_strides,
+                in.size() / mat_size,
+                dims,
+                inputs[2].strides(0));
+          } else {
+            auto kernel = cu::rope<DataType, TRADITIONAL, FORWARD>;
+            uint3 dims =
+                make_uint3(dims_ / 2, in.shape(-2), in.size() / mat_size);
+            dims.z = (dims.z + 3) / 4;
+            auto [grid, block] = get_grid_and_block(dims.x, dims.y, dims.z);
+            kernel<<<grid, block, 0, stream>>>(
+                (donated ? out : in).data<DataType>(),
+                out.data<DataType>(),
+                offset.data<int32_t>(),
+                scale_,
+                std::log2(base_),
+                strides,
+                out_strides,
+                in.size() / mat_size,
+                dims);
+          }
+        });
+      });
+    });
+  });
+}
+
+} // namespace fast
+
+} // namespace mlx::core

mlx/backend/cuda/slicing.cpp

@@ -1,7 +1,11 @@
 // Copyright © 2025 Apple Inc.
 
+#include "mlx/backend/common/slicing.h"
+#include "mlx/backend/gpu/copy.h"
 #include "mlx/backend/gpu/slicing.h"
 
+#include <numeric>
+
 namespace mlx::core {
 
 void concatenate_gpu(
@@ -9,7 +13,29 @@ void concatenate_gpu(
     array& out,
     int axis,
     const Stream& s) {
-  throw std::runtime_error("concatenate_gpu not implemented in CUDA backend.");
+  std::vector<int> sizes;
+  sizes.push_back(0);
+  for (auto& p : inputs) {
+    sizes.push_back(p.shape(axis));
+  }
+  std::partial_sum(sizes.cbegin(), sizes.cend(), sizes.begin());
+
+  out.set_data(allocator::malloc(out.nbytes()));
+
+  auto strides = out.strides();
+  auto flags = out.flags();
+  flags.row_contiguous = false;
+  flags.col_contiguous = false;
+  flags.contiguous = false;
+  // TODO: Handle concurrent outputs:
+  // https://github.com/ml-explore/mlx/pull/2145#discussion_r2070753816
+  for (int i = 0; i < inputs.size(); i++) {
+    array out_slice(inputs[i].shape(), out.dtype(), nullptr, {});
+    size_t data_offset = strides[axis] * sizes[i];
+    out_slice.copy_shared_buffer(
+        out, strides, flags, out_slice.size(), data_offset);
+    copy_gpu_inplace(inputs[i], out_slice, CopyType::GeneralGeneral, s);
+  }
 }
 
 } // namespace mlx::core

mlx/backend/cuda/softmax.cu

@@ -0,0 +1,160 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/device/cast_op.cuh"
+#include "mlx/backend/cuda/device/fp16_math.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/backend/gpu/copy.h"
+#include "mlx/dtype_utils.h"
+#include "mlx/primitives.h"
+
+#include <cooperative_groups.h>
+#include <cooperative_groups/reduce.h>
+#include <nvtx3/nvtx3.hpp>
+#include <cub/block/block_load.cuh>
+
+#include <cassert>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+template <typename T>
+inline __device__ T softmax_exp(T x) {
+  // Softmax doesn't need high precision exponential cause x is gonna be in
+  // (-oo, 0] anyway and subsequently it will be divided by sum(exp(x_i)).
+  return __expf(x);
+}
+
+template <typename T, typename AccT, int BLOCK_DIM, int N_READS = 4>
+__global__ void softmax(const T* in, T* out, int axis_size) {
+  auto grid = cg::this_grid();
+  auto block = cg::this_thread_block();
+  auto warp = cg::tiled_partition<WARP_SIZE>(block);
+
+  in += grid.block_rank() * axis_size;
+  out += grid.block_rank() * axis_size;
+
+  cg::greater<AccT> max_op;
+  cg::plus<AccT> plus_op;
+
+  // Thread reduce.
+  AccT prevmax;
+  AccT maxval = Limits<AccT>::finite_min();
+  AccT normalizer = 0;
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); r++) {
+    AccT vals[N_READS];
+    cub::LoadDirectBlocked(
+        r * BLOCK_DIM + block.thread_rank(),
+        make_cast_iterator<AccT>(in),
+        vals,
+        axis_size,
+        Limits<AccT>::finite_min());
+    prevmax = maxval;
+    maxval = max_op(maxval, cub::ThreadReduce(vals, max_op));
+    // Online normalizer calculation for softmax:
+    // https://github.com/NVIDIA/online-softmax
+    normalizer = normalizer * softmax_exp(prevmax - maxval);
+    for (int i = 0; i < N_READS; i++) {
+      normalizer = normalizer + softmax_exp(vals[i] - maxval);
+    }
+  }
+
+  // First warp reduce.
+  prevmax = maxval;
+  maxval = cg::reduce(warp, maxval, max_op);
+  normalizer = normalizer * softmax_exp(prevmax - maxval);
+  normalizer = cg::reduce(warp, normalizer, plus_op);
+
+  __shared__ AccT local_max[WARP_SIZE];
+  __shared__ AccT local_normalizer[WARP_SIZE];
+
+  // Write to shared memory and do second warp reduce.
+  prevmax = maxval;
+  if (warp.thread_rank() == 0) {
+    local_max[warp.meta_group_rank()] = maxval;
+  }
+  block.sync();
+  maxval = warp.thread_rank() < warp.meta_group_size()
+      ? local_max[warp.thread_rank()]
+      : Limits<AccT>::finite_min();
+  maxval = cg::reduce(warp, maxval, max_op);
+  normalizer = normalizer * softmax_exp(prevmax - maxval);
+  if (warp.thread_rank() == 0) {
+    local_normalizer[warp.meta_group_rank()] = normalizer;
+  }
+  block.sync();
+  normalizer = warp.thread_rank() < warp.meta_group_size()
+      ? local_normalizer[warp.thread_rank()]
+      : AccT{};
+  normalizer = cg::reduce(warp, normalizer, plus_op);
+  normalizer = 1 / normalizer;
+
+  // Write output.
+  for (int r = 0; r < cuda::ceil_div(axis_size, BLOCK_DIM * N_READS); r++) {
+    auto index = r * BLOCK_DIM + block.thread_rank();
+    T vals[N_READS];
+    cub::LoadDirectBlocked(index, in, vals, axis_size);
+    for (int i = 0; i < N_READS; i++) {
+      vals[i] = softmax_exp(static_cast<AccT>(vals[i]) - maxval) * normalizer;
+    }
+    cub::StoreDirectBlocked(index, out, vals, axis_size);
+  }
+}
+
+} // namespace cu
+
+void Softmax::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("Softmax::eval_gpu");
+  assert(inputs.size() == 1);
+  auto& s = stream();
+
+  // Make sure that the last dimension is contiguous.
+  auto set_output = [&s, &out](const array& x) {
+    if (x.flags().contiguous && x.strides()[x.ndim() - 1] == 1) {
+      if (x.is_donatable()) {
+        out.copy_shared_buffer(x);
+      } else {
+        out.set_data(
+            allocator::malloc(x.data_size() * x.itemsize()),
+            x.data_size(),
+            x.strides(),
+            x.flags());
+      }
+      return x;
+    } else {
+      auto x_copy = array(x.shape(), x.dtype(), nullptr, {});
+      copy_gpu(x, x_copy, CopyType::General, s);
+      out.copy_shared_buffer(x_copy);
+      return x_copy;
+    }
+  };
+
+  array in = set_output(inputs[0]);
+  bool precise = in.dtype() != float32 && precise_;
+
+  int axis_size = in.shape().back();
+  int n_rows = in.data_size() / axis_size;
+
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(in);
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_FLOAT_TYPES_CHECKED(out.dtype(), "softmax", CTYPE, {
+      using DataType = cuda_type_t<CTYPE>;
+      constexpr int N_READS = 4;
+      MLX_SWITCH_BLOCK_DIM(cuda::ceil_div(axis_size, N_READS), BLOCK_DIM, {
+        auto kernel = cu::softmax<DataType, DataType, BLOCK_DIM, N_READS>;
+        if (precise) {
+          kernel = cu::softmax<DataType, float, BLOCK_DIM, N_READS>;
+        }
+        kernel<<<n_rows, BLOCK_DIM, 0, stream>>>(
+            in.data<DataType>(), out.data<DataType>(), axis_size);
+      });
+    });
+  });
+}
+
+} // namespace mlx::core

mlx/backend/cuda/sort.cu

@@ -0,0 +1,192 @@
+// Copyright © 2025 Apple Inc.
+
+#include "mlx/backend/common/utils.h"
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/backend/gpu/copy.h"
+#include "mlx/dtype_utils.h"
+#include "mlx/primitives.h"
+
+#include <nvtx3/nvtx3.hpp>
+#include <thrust/device_ptr.h>
+#include <thrust/transform.h>
+#include <cub/device/device_segmented_sort.cuh>
+
+#include <cassert>
+#include <numeric>
+
+namespace mlx::core {
+
+namespace {
+
+template <typename T>
+struct ModOp {
+  T divisor;
+  __device__ T operator()(T x) {
+    return x % divisor;
+  }
+};
+
+// We can not use any op in eval, make an utility.
+array swapaxes_in_eval(const array& in, int axis1, int axis2) {
+  std::vector<int> axes(in.ndim());
+  std::iota(axes.begin(), axes.end(), 0);
+  std::swap(axes[axis1], axes[axis2]);
+  // TODO: Share the code with Transpose::eval.
+  Shape shape(axes.size());
+  Strides strides(in.ndim());
+  for (size_t ax = 0; ax < axes.size(); ++ax) {
+    shape[ax] = in.shape()[axes[ax]];
+    strides[ax] = in.strides()[axes[ax]];
+  }
+  auto flags = in.flags();
+  if (flags.contiguous) {
+    auto [_, row_contiguous, col_contiguous] = check_contiguity(shape, strides);
+    flags.row_contiguous = row_contiguous;
+    flags.col_contiguous = col_contiguous;
+  }
+  array out(shape, in.dtype(), nullptr, {});
+  out.copy_shared_buffer(in, strides, flags, in.data_size());
+  return out;
+}
+
+template <typename... Args>
+void segmented_sort_pairs(cu::CommandEncoder& encoder, Args&&... args) {
+  // Allocate temporary storage.
+  size_t size;
+  CHECK_CUDA_ERROR(
+      cub::DeviceSegmentedSort::StableSortPairs(nullptr, size, args...));
+  array temp(allocator::malloc(size), {static_cast<int>(size)}, uint8);
+  encoder.add_temporary(temp);
+  // Run op.
+  CHECK_CUDA_ERROR(cub::DeviceSegmentedSort::StableSortPairs(
+      temp.data<void>(), size, args...));
+}
+
+template <typename... Args>
+void segmented_sort(cu::CommandEncoder& encoder, Args&&... args) {
+  // Allocate temporary storage.
+  size_t size;
+  CHECK_CUDA_ERROR(
+      cub::DeviceSegmentedSort::StableSortKeys(nullptr, size, args...));
+  array temp(allocator::malloc(size), {static_cast<int>(size)}, uint8);
+  encoder.add_temporary(temp);
+  // Run op.
+  CHECK_CUDA_ERROR(cub::DeviceSegmentedSort::StableSortKeys(
+      temp.data<void>(), size, args...));
+}
+
+void gpu_sort(const Stream& s, array in, array& out_, int axis, bool argsort) {
+  array out = out_;
+  auto& encoder = cu::get_command_encoder(s);
+  if (axis < 0) {
+    axis += in.ndim();
+  }
+  int nsort = in.shape(axis);
+  int last_dim = in.ndim() - 1;
+
+  // If we are not sorting the innermost dimension of a contiguous array,
+  // transpose and make a copy.
+  bool is_segmented_sort = in.flags().contiguous && in.strides()[axis] == 1;
+  if (!is_segmented_sort) {
+    array trans = swapaxes_in_eval(in, axis, last_dim);
+    in = array(trans.shape(), trans.dtype(), nullptr, {});
+    copy_gpu(trans, in, CopyType::General, s);
+    encoder.add_temporary(in);
+    out = array(allocator::malloc(out.nbytes()), in.shape(), out.dtype());
+    encoder.add_temporary(out);
+  } else {
+    out.set_data(
+        allocator::malloc(in.data_size() * out.itemsize()),
+        in.data_size(),
+        in.strides(),
+        in.flags());
+  }
+
+  encoder.set_input_array(in);
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_ALL_TYPES(in.dtype(), CTYPE, {
+      if constexpr (!std::is_same_v<CTYPE, complex64_t>) {
+        using Type = cuda_type_t<CTYPE>;
+        auto offsets = thrust::make_transform_iterator(
+            thrust::make_counting_iterator(0),
+            [nsort] __device__(int i) { return i * nsort; });
+        if (argsort) {
+          // Indices in the sorted dimension.
+          array indices(
+              allocator::malloc(out.nbytes()), in.shape(), out.dtype());
+          encoder.add_temporary(indices);
+          thrust::transform(
+              cu::thrust_policy(stream),
+              thrust::counting_iterator<uint32_t>(0),
+              thrust::counting_iterator<uint32_t>(indices.data_size()),
+              thrust::device_pointer_cast(indices.data<uint32_t>()),
+              ModOp<uint32_t>{static_cast<uint32_t>(nsort)});
+
+          // In argsort though we don't need the result of sorted values, the
+          // API requires us to provide an array to store it.
+          array discard(allocator::malloc(in.nbytes()), in.shape(), in.dtype());
+          encoder.add_temporary(discard);
+
+          segmented_sort_pairs(
+              encoder,
+              in.data<Type>(),
+              discard.data<Type>(),
+              indices.data<uint32_t>(),
+              out.data<uint32_t>(),
+              in.data_size(),
+              in.data_size() / nsort,
+              offsets,
+              offsets + 1,
+              stream);
+        } else {
+          segmented_sort(
+              encoder,
+              in.data<Type>(),
+              out.data<Type>(),
+              in.data_size(),
+              in.data_size() / nsort,
+              offsets,
+              offsets + 1,
+              stream);
+        }
+      } else {
+        throw std::runtime_error(
+            "CUDA backend does not support sorting complex numbers");
+      }
+    });
+  });
+
+  if (!is_segmented_sort) {
+    // Swap the sorted axis back.
+    // TODO: Do in-place transpose instead of using a temporary out array.
+    copy_gpu(swapaxes_in_eval(out, axis, last_dim), out_, CopyType::General, s);
+  }
+}
+
+} // namespace
+
+void ArgSort::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("ArgSort::eval_gpu");
+  assert(inputs.size() == 1);
+  gpu_sort(stream(), inputs[0], out, axis_, true);
+}
+
+void Sort::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("Sort::eval_gpu");
+  assert(inputs.size() == 1);
+  gpu_sort(stream(), inputs[0], out, axis_, false);
+}
+
+void ArgPartition::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("ArgPartition::eval_gpu");
+  gpu_sort(stream(), inputs[0], out, axis_, true);
+}
+
+void Partition::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("Partition::eval_gpu");
+  gpu_sort(stream(), inputs[0], out, axis_, false);
+}
+
+} // namespace mlx::core

mlx/backend/cuda/ternary.cu

@@ -0,0 +1,178 @@
+// Copyright © 2025 Apple Inc.
+#include "mlx/backend/common/ternary.h"
+#include "mlx/backend/cuda/device.h"
+#include "mlx/backend/cuda/device/ternary_ops.cuh"
+#include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/dtype_utils.h"
+#include "mlx/primitives.h"
+
+#include <cooperative_groups.h>
+#include <nvtx3/nvtx3.hpp>
+
+namespace mlx::core {
+
+namespace cu {
+
+namespace cg = cooperative_groups;
+
+template <typename Op, typename T, typename IdxT>
+__global__ void
+ternary_v(const bool* a, const T* b, const T* c, T* out, IdxT size) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    out[index] = Op{}(a[index], b[index], c[index]);
+  }
+}
+
+template <typename Op, typename T, typename IdxT, int NDIM>
+__global__ void ternary_g_nd(
+    const bool* a,
+    const T* b,
+    const T* c,
+    T* out,
+    IdxT size,
+    const __grid_constant__ cuda::std::array<int32_t, NDIM> shape,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> a_strides,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> b_strides,
+    const __grid_constant__ cuda::std::array<int64_t, NDIM> c_strides) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto [a_idx, b_idx, c_idx] = elem_to_loc_nd<NDIM>(
+        index,
+        shape.data(),
+        a_strides.data(),
+        b_strides.data(),
+        c_strides.data());
+    out[index] = Op{}(a[a_idx], b[b_idx], c[c_idx]);
+  }
+}
+
+template <typename Op, typename T, typename IdxT>
+__global__ void ternary_g(
+    const bool* a,
+    const T* b,
+    const T* c,
+    T* out,
+    IdxT size,
+    const __grid_constant__ Shape shape,
+    const __grid_constant__ Strides a_strides,
+    const __grid_constant__ Strides b_strides,
+    const __grid_constant__ Strides c_strides,
+    int ndim) {
+  IdxT index = cg::this_grid().thread_rank();
+  if (index < size) {
+    auto [a_idx, b_idx, c_idx] = elem_to_loc_4d(
+        index,
+        shape.data(),
+        a_strides.data(),
+        b_strides.data(),
+        c_strides.data(),
+        ndim);
+    out[index] = Op{}(a[a_idx], b[b_idx], c[c_idx]);
+  }
+}
+
+} // namespace cu
+
+template <typename Op>
+void ternary_op_gpu_inplace(
+    const std::vector<array>& inputs,
+    array& out,
+    const Stream& s) {
+  const auto& a = inputs[0];
+  const auto& b = inputs[1];
+  const auto& c = inputs[2];
+  if (out.size() == 0) {
+    return;
+  }
+
+  auto& encoder = cu::get_command_encoder(s);
+  encoder.set_input_array(a);
+  encoder.set_input_array(b);
+  encoder.set_input_array(c);
+  encoder.set_output_array(out);
+  encoder.launch_kernel([&](cudaStream_t stream) {
+    MLX_SWITCH_ALL_TYPES(out.dtype(), CTYPE, {
+      using DType = cuda_type_t<CTYPE>;
+
+      auto topt = get_ternary_op_type(a, b, c);
+      if (topt == TernaryOpType::General) {
+        auto [shape, strides] = collapse_contiguous_dims(a, b, c, out);
+        auto& a_strides = strides[0];
+        auto& b_strides = strides[1];
+        auto& c_strides = strides[2];
+        bool large = a.data_size() > INT32_MAX || b.data_size() > INT32_MAX ||
+            c.data_size() > INT32_MAX || out.data_size() > INT32_MAX;
+        MLX_SWITCH_BOOL(large, LARGE, {
+          using IdxT = std::conditional_t<LARGE, int64_t, int32_t>;
+          int ndim = shape.size();
+          if (ndim <= 3) {
+            MLX_SWITCH_1_2_3(ndim, NDIM, {
+              auto kernel = cu::ternary_g_nd<Op, DType, IdxT, NDIM>;
+              auto [num_blocks, block_dims] =
+                  get_launch_args(kernel, out, large);
+              kernel<<<num_blocks, block_dims, 0, stream>>>(
+                  a.data<bool>(),
+                  b.data<DType>(),
+                  c.data<DType>(),
+                  out.data<DType>(),
+                  out.size(),
+                  const_param<NDIM>(shape),
+                  const_param<NDIM>(a_strides),
+                  const_param<NDIM>(b_strides),
+                  const_param<NDIM>(c_strides));
+            });
+          } else {
+            auto kernel = cu::ternary_g<Op, DType, IdxT>;
+            auto [num_blocks, block_dims] = get_launch_args(kernel, out, large);
+            kernel<<<num_blocks, block_dims, 0, stream>>>(
+                a.data<bool>(),
+                b.data<DType>(),
+                c.data<DType>(),
+                out.data<DType>(),
+                out.data_size(),
+                const_param(shape),
+                const_param(a_strides),
+                const_param(b_strides),
+                const_param(c_strides),
+                ndim);
+          }
+        });
+      } else {
+        MLX_SWITCH_BOOL(out.data_size() > UINT32_MAX, LARGE, {
+          using IdxT = std::conditional_t<LARGE, int64_t, uint32_t>;
+          auto kernel = cu::ternary_v<Op, DType, IdxT>;
+          auto [num_blocks, block_dims] = get_launch_args(
+              kernel, out.data_size(), out.shape(), out.strides(), LARGE);
+          kernel<<<num_blocks, block_dims, 0, stream>>>(
+              a.data<bool>(),
+              b.data<DType>(),
+              c.data<DType>(),
+              out.data<DType>(),
+              out.data_size());
+        });
+      }
+    });
+  });
+}
+
+template <typename Op>
+void ternary_op_gpu(
+    const std::vector<array>& inputs,
+    array& out,
+    const Stream& s) {
+  auto& a = inputs[0];
+  auto& b = inputs[1];
+  auto& c = inputs[2];
+  auto topt = get_ternary_op_type(a, b, c);
+  set_ternary_op_output_data(a, b, c, out, topt);
+  ternary_op_gpu_inplace<Op>(inputs, out, s);
+}
+
+void Select::eval_gpu(const std::vector<array>& inputs, array& out) {
+  nvtx3::scoped_range r("select::eval_gpu");
+  auto& s = out.primitive().stream();
+  ternary_op_gpu<cu::Select>(inputs, out, s);
+}
+
+} // namespace mlx::core