feat: add interfaces for CUDA

src/gpu.jl

@@ -0,0 +1,150 @@
+"""
+Reverse mode automatic differentiation for GPU version of rhs!
+
+# Arguments
+- `semi::SemidiscretizationHyperbolic`: The semidiscretization object containing mesh, equations, etc.
+
+# Returns
+- `dxs::CuMatrix{Float32}`: The Jacobian matrix computed using reverse mode AD
+
+# Note
+This function computes the Jacobian matrix by:
+1. Converting all necessary data to GPU arrays
+2. Using Enzyme's reverse mode AD on the CUDA kernels
+3. Performing column by column differentiation in a loop
+"""
+function jacobian_enzyme_reverse_gpu(semi::SemidiscretizationHyperbolic)
+    t0 = zero(real(semi))
+    u_ode = CuArray(compute_coefficients(t0, semi))
+    du_ode = similar(u_ode)
+
+    # Initialize arrays for AD on GPU
+    dy = CUDA.zeros(size(du_ode))
+    dx = CUDA.zeros(size(u_ode))
+    dxs = CUDA.zeros(Float32, length(du_ode), length(du_ode))
+
+    # Extract components needed for rhs_gpu!
+    (; mesh, equations, boundary_conditions, source_terms, solver, cache) = semi
+
+    # Convert cache components to GPU arrays
+    cache_gpu = convert_cache_to_gpu(cache)
+
+    # Loop over each column to compute Jacobian
+    for i in 1:length(du_ode)
+        # Set seed vector for reverse mode
+        dy[i] = one(Float32)
+
+        # Apply Enzyme's reverse mode AD
+        Enzyme.autodiff(Reverse, rhs_gpu!,
+            Duplicated(du_ode, dy),
+            Duplicated(u_ode, dx),
+            Const(semi),
+            Const(t0))
+
+        # Store results
+        dxs[i, :] .= dx
+
+        # Reset for next iteration
+        dy[i] = zero(Float32)
+        dx .= zero(Float32)
+    end
+
+    return dxs
+end
+
+"""
+Forward mode automatic differentiation for GPU version of rhs!
+
+# Arguments
+- `semi::SemidiscretizationHyperbolic`: The semidiscretization object containing mesh, equations, etc.
+
+# Returns
+- `dys::CuMatrix{Float32}`: The Jacobian matrix computed using forward mode AD
+
+# Note
+This function computes the Jacobian matrix by:
+1. Converting all necessary data to GPU arrays
+2. Using Enzyme's forward mode AD on the CUDA kernels
+3. Performing row by row differentiation in a loop
+"""
+function vector_mode_jacobian_enzyme_forward_gpu(semi::SemidiscretizationHyperbolic)
+    t0 = zero(real(semi))
+    u_ode = CuArray(compute_coefficients(t0, semi))
+    du_ode = similar(u_ode)
+
+    # Initialize arrays for AD on GPU
+    dy = CUDA.zeros(size(du_ode))
+    dx = CUDA.zeros(size(u_ode))
+    dys = CUDA.zeros(Float32, length(du_ode), length(du_ode))
+
+    # Extract components needed for rhs_gpu!
+    (; mesh, equations, boundary_conditions, source_terms, solver, cache) = semi
+
+    # Convert cache components to GPU arrays
+    cache_gpu = convert_cache_to_gpu(cache)
+
+    # Loop over each row to compute Jacobian
+    for i in 1:length(du_ode)
+        # Set seed vector for forward mode
+        dx[i] = one(Float32)
+
+        # Apply Enzyme's forward mode AD
+        Enzyme.autodiff(Forward, rhs_gpu!,
+            Duplicated(du_ode, dy),
+            Duplicated(u_ode, dx),
+            Const(semi),
+            Const(t0))
+
+        # Store results
+        dys[:, i] .= dy
+
+        # Reset for next iteration
+        dx[i] = zero(Float32)
+    end
+
+    return dys
+end
+
+"""
+Helper function to convert cache data to GPU arrays
+
+# Arguments
+- `cache`: The cache object containing boundaries, elements, and interfaces
+
+# Returns
+- `cache_gpu`: A new cache object with all arrays converted to CuArrays
+"""
+function convert_cache_to_gpu(cache)
+    (; boundaries, elements, interfaces) = cache
+
+    elements_gpu = (
+        surface_flux_values = CuArray(elements.surface_flux_values),
+        node_coordinates = CuArray(elements.node_coordinates),
+        inverse_jacobian = CuArray(elements.inverse_jacobian),
+        cell_ids = CuArray(elements.cell_ids)
+    )
+
+    boundaries_gpu = CuArray(boundaries)
+
+    interfaces_gpu = (
+        u = CuArray(interfaces.u),
+        neighbor_ids = CuArray(interfaces.neighbor_ids),
+        orientations = CuArray(interfaces.orientations)
+    )
+
+    return (
+        boundaries = boundaries_gpu,
+        elements = elements_gpu,
+        interfaces = interfaces_gpu
+    )
+end
+
+
+################  Example usage
+# semi = SemidiscretizationHyperbolic(...)  # Your semidiscretization
+# jac_reverse = jacobian_enzyme_reverse_gpu(semi)
+# jac_forward = vector_mode_jacobian_enzyme_forward_gpu(semi)
+
+# # Convert back to CPU if needed
+# jac_reverse_cpu = Array(jac_reverse)
+# jac_forward_cpu = Array(jac_forward)