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| 1 | +# CUDA Backend - HW-001 |
| 2 | +# Ternary LLM Inference on NVIDIA GPUs |
| 3 | +# Target: +100x speedup vs CPU (7.61 GFLOPS → 760+ GFLOPS) |
| 4 | +# Author: Dmitrii Vasilev |
| 5 | +# Version: 1.0.0 |
| 6 | + |
| 7 | +name: cuda_backend |
| 8 | +version: "1.0.0" |
| 9 | +language: zig |
| 10 | +module: cuda_backend |
| 11 | + |
| 12 | +description: | |
| 13 | + CUDA backend for Trinity ternary inference engine. |
| 14 | + Ports optimized SIMD kernels to GPU with massive parallelism. |
| 15 | + Key features: |
| 16 | + - Ternary MatMul with 2-bit packed weights |
| 17 | + - Ternary KV cache with 16x compression |
| 18 | + - PagedAttention with ternary blocks |
| 19 | + - Batch inference with continuous batching |
| 20 | + |
| 21 | + Target GPUs: RTX 4090, A100, H100 |
| 22 | + Expected speedup: 100-500x vs CPU |
| 23 | + |
| 24 | +types: |
| 25 | + CUDADevice: |
| 26 | + fields: |
| 27 | + device_id: Int |
| 28 | + name: String |
| 29 | + compute_capability: String |
| 30 | + cuda_cores: Int |
| 31 | + sm_count: Int |
| 32 | + memory_gb: Int |
| 33 | + memory_bandwidth_gbps: Int |
| 34 | + |
| 35 | + TernaryTensor: |
| 36 | + fields: |
| 37 | + data: List<Int> |
| 38 | + shape: List<Int> |
| 39 | + dtype: String |
| 40 | + device: String |
| 41 | + |
| 42 | + KernelConfig: |
| 43 | + fields: |
| 44 | + block_dim_x: Int |
| 45 | + block_dim_y: Int |
| 46 | + block_dim_z: Int |
| 47 | + grid_dim_x: Int |
| 48 | + grid_dim_y: Int |
| 49 | + grid_dim_z: Int |
| 50 | + shared_memory_bytes: Int |
| 51 | + |
| 52 | + CUDAStream: |
| 53 | + fields: |
| 54 | + stream_id: Int |
| 55 | + device_id: Int |
| 56 | + is_default: Bool |
| 57 | + |
| 58 | + MemoryPool: |
| 59 | + fields: |
| 60 | + device_id: Int |
| 61 | + total_bytes: Int |
| 62 | + allocated_bytes: Int |
| 63 | + free_bytes: Int |
| 64 | + |
| 65 | +behaviors: |
| 66 | + # Device management |
| 67 | + - name: init_cuda |
| 68 | + given: CUDA driver available |
| 69 | + when: Initializing backend |
| 70 | + then: Enumerate devices and select best GPU |
| 71 | + |
| 72 | + - name: select_device |
| 73 | + given: Multiple GPUs available |
| 74 | + when: Device selection requested |
| 75 | + then: Select GPU with highest compute capability |
| 76 | + |
| 77 | + - name: get_device_properties |
| 78 | + given: Device selected |
| 79 | + when: Querying capabilities |
| 80 | + then: Return CUDADevice with all specs |
| 81 | + |
| 82 | + # Memory management |
| 83 | + - name: allocate_device_memory |
| 84 | + given: Size in bytes |
| 85 | + when: Tensor allocation requested |
| 86 | + then: Allocate on GPU with cudaMalloc |
| 87 | + |
| 88 | + - name: copy_to_device |
| 89 | + given: Host tensor |
| 90 | + when: Upload requested |
| 91 | + then: Async copy with cudaMemcpyAsync |
| 92 | + |
| 93 | + - name: copy_to_host |
| 94 | + given: Device tensor |
| 95 | + when: Download requested |
| 96 | + then: Async copy with cudaMemcpyAsync |
| 97 | + |
| 98 | + # Ternary MatMul kernel |
| 99 | + - name: ternary_matmul_kernel |
| 100 | + given: Packed ternary weights (2-bit) and input vector |
| 101 | + when: Matrix-vector multiply requested |
| 102 | + then: Launch CUDA kernel with warp-level parallelism |
| 103 | + |
| 104 | + - name: ternary_matmul_batched |
| 105 | + given: Multiple input vectors |
| 106 | + when: Batch inference requested |
| 107 | + then: Process all vectors in parallel across SMs |
| 108 | + |
| 109 | + # KV Cache operations |
| 110 | + - name: ternary_kv_cache_append |
| 111 | + given: New K,V tensors |
| 112 | + when: Token generated |
| 113 | + then: Append to ternary-compressed KV cache |
| 114 | + |
| 115 | + - name: ternary_attention_kernel |
| 116 | + given: Query, ternary K cache, V cache |
| 117 | + when: Attention computation requested |
| 118 | + then: Compute attention scores and weighted sum |
| 119 | + |
| 120 | + # Attention kernels |
| 121 | + - name: flash_attention_ternary |
| 122 | + given: Q, K, V tensors with ternary K |
| 123 | + when: Attention layer forward |
| 124 | + then: Fused attention with tiling for memory efficiency |
| 125 | + |
| 126 | + - name: paged_attention_ternary |
| 127 | + given: Q and paged KV cache |
| 128 | + when: Decoding with long context |
| 129 | + then: Attention over non-contiguous KV pages |
| 130 | + |
| 131 | + # Softmax and normalization |
| 132 | + - name: fused_softmax_kernel |
| 133 | + given: Attention scores |
| 134 | + when: Softmax requested |
| 135 | + then: Warp-level reduction for fast softmax |
| 136 | + |
| 137 | + - name: rms_norm_kernel |
| 138 | + given: Hidden states |
| 139 | + when: Layer normalization |
| 140 | + then: Fused RMSNorm with residual add |
| 141 | + |
| 142 | +constants: |
| 143 | + # CUDA configuration |
| 144 | + WARP_SIZE: 32 |
| 145 | + MAX_THREADS_PER_BLOCK: 1024 |
| 146 | + MAX_SHARED_MEMORY: 49152 |
| 147 | + |
| 148 | + # Ternary encoding |
| 149 | + TRITS_PER_BYTE: 4 |
| 150 | + TRIT_ZERO: 0 |
| 151 | + TRIT_PLUS: 1 |
| 152 | + TRIT_MINUS: 2 |
| 153 | + |
| 154 | + # Kernel tile sizes |
| 155 | + TILE_M: 128 |
| 156 | + TILE_N: 128 |
| 157 | + TILE_K: 32 |
| 158 | + |
| 159 | + # Memory alignment |
| 160 | + ALIGNMENT_BYTES: 256 |
| 161 | + |
| 162 | + # Performance targets |
| 163 | + TARGET_TFLOPS_RTX4090: 82.6 |
| 164 | + TARGET_TFLOPS_A100: 19.5 |
| 165 | + TARGET_TFLOPS_H100: 51.2 |
| 166 | + |
| 167 | +gpu_specs: |
| 168 | + RTX_4090: |
| 169 | + cuda_cores: 16384 |
| 170 | + sm_count: 128 |
| 171 | + memory_gb: 24 |
| 172 | + memory_bandwidth_gbps: 1008 |
| 173 | + compute_capability: "8.9" |
| 174 | + fp32_tflops: 82.6 |
| 175 | + |
| 176 | + A100: |
| 177 | + cuda_cores: 6912 |
| 178 | + sm_count: 108 |
| 179 | + memory_gb: 80 |
| 180 | + memory_bandwidth_gbps: 2039 |
| 181 | + compute_capability: "8.0" |
| 182 | + fp32_tflops: 19.5 |
| 183 | + |
| 184 | + H100: |
| 185 | + cuda_cores: 16896 |
| 186 | + sm_count: 132 |
| 187 | + memory_gb: 80 |
| 188 | + memory_bandwidth_gbps: 3350 |
| 189 | + compute_capability: "9.0" |
| 190 | + fp32_tflops: 51.2 |
| 191 | + |
| 192 | +kernel_templates: |
| 193 | + ternary_matmul: | |
| 194 | + // Ternary MatMul CUDA Kernel |
| 195 | + // Packed 2-bit weights: 4 trits per byte |
| 196 | + // LUT-free decode: sign = (trit & 1) - (trit >> 1) |
| 197 | + |
| 198 | + __constant__ float SIGN_LUT[4] = {0.0f, 1.0f, -1.0f, 0.0f}; |
| 199 | + |
| 200 | + __global__ void ternary_matmul_kernel( |
| 201 | + float* __restrict__ output, |
| 202 | + const uint8_t* __restrict__ weights, |
| 203 | + const float* __restrict__ input, |
| 204 | + int rows, |
| 205 | + int cols |
| 206 | + ) { |
| 207 | + __shared__ float shared_input[256]; |
| 208 | + |
| 209 | + int row = blockIdx.x * blockDim.x + threadIdx.x; |
| 210 | + if (row >= rows) return; |
| 211 | + |
| 212 | + int cols_packed = (cols + 3) / 4; |
| 213 | + float sum = 0.0f; |
| 214 | + |
| 215 | + // Process in tiles |
| 216 | + for (int tile = 0; tile < cols; tile += 256) { |
| 217 | + // Cooperative load of input tile |
| 218 | + if (threadIdx.x < 256 && tile + threadIdx.x < cols) { |
| 219 | + shared_input[threadIdx.x] = input[tile + threadIdx.x]; |
| 220 | + } |
| 221 | + __syncthreads(); |
| 222 | + |
| 223 | + // Compute partial sum |
| 224 | + int tile_end = min(256, cols - tile); |
| 225 | + for (int i = 0; i < tile_end; i += 4) { |
| 226 | + int byte_idx = row * cols_packed + (tile + i) / 4; |
| 227 | + uint8_t packed = weights[byte_idx]; |
| 228 | + |
| 229 | + sum += shared_input[i + 0] * SIGN_LUT[(packed >> 0) & 0x3]; |
| 230 | + sum += shared_input[i + 1] * SIGN_LUT[(packed >> 2) & 0x3]; |
| 231 | + sum += shared_input[i + 2] * SIGN_LUT[(packed >> 4) & 0x3]; |
| 232 | + sum += shared_input[i + 3] * SIGN_LUT[(packed >> 6) & 0x3]; |
| 233 | + } |
| 234 | + __syncthreads(); |
| 235 | + } |
| 236 | + |
| 237 | + output[row] = sum; |
| 238 | + } |
| 239 | + |
| 240 | + ternary_attention: | |
| 241 | + // Ternary Attention CUDA Kernel |
| 242 | + // Q: float, K: ternary (2-bit), V: float |
| 243 | + |
| 244 | + __global__ void ternary_attention_kernel( |
| 245 | + float* __restrict__ output, |
| 246 | + const float* __restrict__ query, |
| 247 | + const uint8_t* __restrict__ keys_packed, |
| 248 | + const float* __restrict__ values, |
| 249 | + int seq_len, |
| 250 | + int head_dim, |
| 251 | + float scale |
| 252 | + ) { |
| 253 | + extern __shared__ float shared_mem[]; |
| 254 | + float* scores = shared_mem; |
| 255 | + |
| 256 | + int tid = threadIdx.x; |
| 257 | + |
| 258 | + // Compute attention scores: Q @ K^T |
| 259 | + for (int i = tid; i < seq_len; i += blockDim.x) { |
| 260 | + float score = 0.0f; |
| 261 | + int key_start = i * ((head_dim + 3) / 4); |
| 262 | + |
| 263 | + for (int j = 0; j < head_dim; j += 4) { |
| 264 | + uint8_t packed = keys_packed[key_start + j / 4]; |
| 265 | + score += query[j + 0] * SIGN_LUT[(packed >> 0) & 0x3]; |
| 266 | + score += query[j + 1] * SIGN_LUT[(packed >> 2) & 0x3]; |
| 267 | + score += query[j + 2] * SIGN_LUT[(packed >> 4) & 0x3]; |
| 268 | + score += query[j + 3] * SIGN_LUT[(packed >> 6) & 0x3]; |
| 269 | + } |
| 270 | + scores[i] = score * scale; |
| 271 | + } |
| 272 | + __syncthreads(); |
| 273 | + |
| 274 | + // Softmax (simplified - use warp reduction in production) |
| 275 | + float max_score = -INFINITY; |
| 276 | + for (int i = tid; i < seq_len; i += blockDim.x) { |
| 277 | + max_score = fmaxf(max_score, scores[i]); |
| 278 | + } |
| 279 | + // ... warp reduction for max ... |
| 280 | + |
| 281 | + float sum_exp = 0.0f; |
| 282 | + for (int i = tid; i < seq_len; i += blockDim.x) { |
| 283 | + scores[i] = expf(scores[i] - max_score); |
| 284 | + sum_exp += scores[i]; |
| 285 | + } |
| 286 | + // ... warp reduction for sum ... |
| 287 | + |
| 288 | + for (int i = tid; i < seq_len; i += blockDim.x) { |
| 289 | + scores[i] /= sum_exp; |
| 290 | + } |
| 291 | + __syncthreads(); |
| 292 | + |
| 293 | + // Weighted sum of values |
| 294 | + for (int d = tid; d < head_dim; d += blockDim.x) { |
| 295 | + float out = 0.0f; |
| 296 | + for (int i = 0; i < seq_len; i++) { |
| 297 | + out += scores[i] * values[i * head_dim + d]; |
| 298 | + } |
| 299 | + output[d] = out; |
| 300 | + } |
| 301 | + } |
| 302 | + |
| 303 | +benchmark_targets: |
| 304 | + # CPU baseline (from OPT-001) |
| 305 | + cpu_baseline: |
| 306 | + matmul_gflops: 7.61 |
| 307 | + attention_ms: 5.0 |
| 308 | + throughput_tps: 300 |
| 309 | + |
| 310 | + # GPU targets |
| 311 | + rtx_4090: |
| 312 | + matmul_gflops: 500 |
| 313 | + attention_ms: 0.1 |
| 314 | + throughput_tps: 15000 |
| 315 | + speedup_vs_cpu: 50x |
| 316 | + |
| 317 | + a100: |
| 318 | + matmul_gflops: 800 |
| 319 | + attention_ms: 0.05 |
| 320 | + throughput_tps: 25000 |
| 321 | + speedup_vs_cpu: 80x |
| 322 | + |
| 323 | + h100: |
| 324 | + matmul_gflops: 1500 |
| 325 | + attention_ms: 0.02 |
| 326 | + throughput_tps: 50000 |
| 327 | + speedup_vs_cpu: 150x |
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