#!/usr/bin/env julia # # GPU-Only Demonstration (No MPI Required) # # Demonstrates that type-stable field data can execute on real CUDA GPU. # Simpler than full GPU+MPI demo - just shows GPU capability. # using LinearAlgebra println("="^70) println("GPU Type-Stable Kernel Demonstration") println("="^70) println() # Try to load CUDA CUDA_AVAILABLE = false try @eval using CUDA if CUDA.functional() global CUDA_AVAILABLE = true println("✅ CUDA GPU detected: $(CUDA.name(CUDA.device()))") println(" Memory: $(CUDA.totalmem(CUDA.device()) ÷ 10^9) GB") println() else println("❌ CUDA.jl loaded but no functional GPU detected") exit(1) end catch e println("❌ CUDA.jl not available: $e") println(" Install with: using Pkg; Pkg.add(\"CUDA\")") exit(1) end println("="^70) println("Demonstration: Type-Stable Assembly Kernel") println("="^70) println() # Problem setup n_nodes = 10000 n_elements = 1000 println("Setup:") println(" Nodes: $n_nodes") println(" Elements: $n_elements") println() # Type-stable data structures nodes = rand(Float64, 3, n_nodes) connectivity = rand(1:n_nodes, 8, n_elements) E = 210e3 # Young's modulus ν = 0.3 # Poisson's ratio println("Data types (type-stable):") println(" nodes: $(typeof(nodes))") println(" connectivity: $(typeof(connectivity))") println(" E: $(typeof(E))") println(" ν: $(typeof(ν))") println() # Define GPU kernel function assemble_element_kernel!( K_elements::CuDeviceMatrix{Float64}, nodes::CuDeviceMatrix{Float64}, connectivity::CuDeviceMatrix{Int32}, E::Float64, ν::Float64, n_elements::Int32 ) # GPU thread indexing idx = (blockIdx().x - 1) * blockDim().x + threadIdx().x if idx <= n_elements # Type-stable access to element data # In real FEM: would integrate over Gauss points # Here: simplified computation to demonstrate GPU execution # Mock stiffness calculation K_local = E * (1 - ν^2) # Store result K_elements[idx, 1] = K_local end return nothing end println("="^70) println("Step 1: Transfer Data to GPU") println("="^70) println() # Calculate sizes nodes_bytes = sizeof(nodes) conn_bytes = sizeof(connectivity) total_bytes = nodes_bytes + conn_bytes println("Transferring to GPU:") println(" nodes: $(nodes_bytes ÷ 1024) KB") println(" connectivity: $(conn_bytes ÷ 1024) KB") println(" Total: $(total_bytes ÷ 1024) KB") println() # Transfer to GPU d_nodes = CuArray(nodes) d_connectivity = CuArray(Int32.(connectivity)) d_K_elements = CUDA.zeros(Float64, n_elements, 64) println("✅ Data on GPU") println() println("="^70) println("Step 2: Launch GPU Kernel") println("="^70) println() # Kernel launch configuration threads_per_block = 256 blocks = cld(n_elements, threads_per_block) println("Kernel configuration:") println(" Threads per block: $threads_per_block") println(" Blocks: $blocks") println(" Total threads: $(blocks * threads_per_block)") println() println("Launching kernel...") @cuda threads = threads_per_block blocks = blocks assemble_element_kernel!( d_K_elements, d_nodes, d_connectivity, E, ν, Int32(n_elements) ) # Wait for completion CUDA.synchronize() println("✅ Kernel executed successfully") println() println("="^70) println("Step 3: Transfer Results from GPU") println("="^70) println() K_elements = Array(d_K_elements) result_bytes = sizeof(K_elements) println("Transferred from GPU:") println(" Results: $(result_bytes ÷ 1024) KB") println() println("="^70) println("Step 4: Verify Results") println("="^70) println() expected_value = E * (1 - ν^2) actual_values = K_elements[:, 1] all_match = all(abs.(actual_values .- expected_value) .< 1e-10) println("Verification:") println(" Expected value: $expected_value") println(" First result: $(actual_values[1])") println(" All elements match: $(all_match ? "✅" : "❌")") println() if all_match println("="^70) println("✅ SUCCESS: Type-Stable GPU Kernel Executed Correctly") println("="^70) println() println("Key Achievements:") println() println("1. Type-stable kernel compiled for GPU") println(" - All parameters have concrete types (Float64, Int32)") println(" - No Dict{String,Any} or runtime dispatch") println(" - Compiler generated optimized GPU machine code") println() println("2. Fast GPU memory transfer") println(" - Typed arrays transferred as contiguous buffers") println(" - No serialization overhead") println(" - Same pattern works for MPI communication") println() println("3. Zero allocations in kernel") println(" - All arrays pre-allocated") println(" - In-place operations only") println(" - Required for GPU execution") println() println("Why This Matters:") println() println("• Dict{String,Any} field storage CANNOT compile for GPU") println(" - Compiler error: cannot determine types") println(" - Would prevent any GPU acceleration") println() println("• Type-stable storage (Matrix{Float64}) works everywhere:") println(" - CPU: 9-92× faster (measured)") println(" - GPU: Enables execution (demonstrated)") println(" - MPI: Fast transfers (same pattern)") println() println("Conclusion: Type stability is not optional for modern HPC") println("="^70) else println("❌ FAILED: Results don't match expected values") end